Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 654.6 | ||
Root | \(-0.531325 - 1.98293i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.654 |
Dual form | 845.2.l.d.699.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.607160 | − | 1.05163i | 0.429327 | − | 0.743616i | −0.567487 | − | 0.823383i | \(-0.692084\pi\) |
0.996814 | + | 0.0797666i | \(0.0254175\pi\) | |||||||
\(3\) | 1.13545 | + | 0.655554i | 0.655554 | + | 0.378484i | 0.790581 | − | 0.612358i | \(-0.209779\pi\) |
−0.135027 | + | 0.990842i | \(0.543112\pi\) | |||||||
\(4\) | 0.262714 | + | 0.455034i | 0.131357 | + | 0.227517i | ||||
\(5\) | 0.311108 | + | 2.21432i | 0.139132 | + | 0.990274i | ||||
\(6\) | 1.37880 | − | 0.796052i | 0.562894 | − | 0.324987i | ||||
\(7\) | 1.45161 | + | 2.51426i | 0.548655 | + | 0.950299i | 0.998367 | + | 0.0571253i | \(0.0181935\pi\) |
−0.449712 | + | 0.893174i | \(0.648473\pi\) | |||||||
\(8\) | 3.06668 | 1.08423 | ||||||||
\(9\) | −0.640498 | − | 1.10938i | −0.213499 | − | 0.369792i | ||||
\(10\) | 2.51754 | + | 1.01728i | 0.796116 | + | 0.321691i | ||||
\(11\) | −0.185606 | − | 0.107160i | −0.0559624 | − | 0.0323099i | 0.471758 | − | 0.881728i | \(-0.343620\pi\) |
−0.527720 | + | 0.849418i | \(0.676953\pi\) | |||||||
\(12\) | 0.688892i | 0.198866i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 3.52543 | 0.942210 | ||||||||
\(15\) | −1.09836 | + | 2.71820i | −0.283595 | + | 0.701837i | ||||
\(16\) | 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 | \(0.617904\pi\) | |||||||
\(18\) | −1.55554 | −0.366644 | ||||||||
\(19\) | 1.91766 | − | 1.10716i | 0.439941 | − | 0.254000i | −0.263632 | − | 0.964623i | \(-0.584920\pi\) |
0.703572 | + | 0.710624i | \(0.251587\pi\) | |||||||
\(20\) | −0.925858 | + | 0.723297i | −0.207028 | + | 0.161734i | ||||
\(21\) | 3.80642i | 0.830630i | ||||||||
\(22\) | −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 | \(0.829250\pi\) | |||||||
\(24\) | 3.48207 | + | 2.01037i | 0.710774 | + | 0.410365i | ||||
\(25\) | −4.80642 | + | 1.37778i | −0.961285 | + | 0.275557i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 5.61285i | − | 1.08019i | ||||||
\(28\) | −0.762714 | + | 1.32106i | −0.144139 | + | 0.249657i | ||||
\(29\) | 4.35482 | − | 7.54277i | 0.808669 | − | 1.40066i | −0.105116 | − | 0.994460i | \(-0.533522\pi\) |
0.913786 | − | 0.406197i | \(-0.133145\pi\) | |||||||
\(30\) | 2.19167 | + | 2.80545i | 0.400142 | + | 0.512203i | ||||
\(31\) | 5.59210i | 1.00437i | 0.864760 | + | 0.502186i | \(0.167471\pi\) | ||||
−0.864760 | + | 0.502186i | \(0.832529\pi\) | |||||||
\(32\) | 1.44370 | + | 2.50055i | 0.255212 | + | 0.442040i | ||||
\(33\) | −0.140498 | − | 0.243350i | −0.0244576 | − | 0.0423618i | ||||
\(34\) | 7.80642i | 1.33879i | ||||||||
\(35\) | −5.11576 | + | 3.99652i | −0.864721 | + | 0.675536i | ||||
\(36\) | 0.336535 | − | 0.582896i | 0.0560892 | − | 0.0971494i | ||||
\(37\) | 1.14050 | − | 1.97540i | 0.187497 | − | 0.324754i | −0.756918 | − | 0.653510i | \(-0.773296\pi\) |
0.944415 | + | 0.328756i | \(0.106629\pi\) | |||||||
\(38\) | − | 2.68889i | − | 0.436196i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.954067 | + | 6.79060i | 0.150851 | + | 1.07369i | ||||
\(41\) | 2.64212 | + | 1.52543i | 0.412630 | + | 0.238232i | 0.691919 | − | 0.721975i | \(-0.256766\pi\) |
−0.279289 | + | 0.960207i | \(0.590099\pi\) | |||||||
\(42\) | 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 | \(0.172118\pi\) | |||||||
\(44\) | − | 0.112610i | − | 0.0169765i | ||||||
\(45\) | 2.25725 | − | 1.76340i | 0.336491 | − | 0.262873i | ||||
\(46\) | −4.93099 | + | 2.84691i | −0.727034 | + | 0.419754i | ||||
\(47\) | −1.09679 | −0.159983 | −0.0799915 | − | 0.996796i | \(-0.525489\pi\) | ||||
−0.0799915 | + | 0.996796i | \(0.525489\pi\) | |||||||
\(48\) | 3.03515 | − | 1.75234i | 0.438085 | − | 0.252929i | ||||
\(49\) | −0.714320 | + | 1.23724i | −0.102046 | + | 0.176748i | ||||
\(50\) | −1.46935 | + | 5.89112i | −0.207797 | + | 0.833131i | ||||
\(51\) | −8.42864 | −1.18025 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.23506i | 0.856452i | 0.903672 | + | 0.428226i | \(0.140861\pi\) | ||||
−0.903672 | + | 0.428226i | \(0.859139\pi\) | |||||||
\(54\) | −5.90265 | − | 3.40790i | −0.803249 | − | 0.463756i | ||||
\(55\) | 0.179543 | − | 0.444330i | 0.0242095 | − | 0.0599135i | ||||
\(56\) | 4.45161 | + | 7.71041i | 0.594871 | + | 1.03035i | ||||
\(57\) | 2.90321 | 0.384540 | ||||||||
\(58\) | −5.28814 | − | 9.15933i | −0.694367 | − | 1.20268i | ||||
\(59\) | 8.02388 | − | 4.63259i | 1.04462 | − | 0.603112i | 0.123481 | − | 0.992347i | \(-0.460594\pi\) |
0.921138 | + | 0.389235i | \(0.127261\pi\) | |||||||
\(60\) | −1.52543 | + | 0.214320i | −0.196932 | + | 0.0276686i | ||||
\(61\) | 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 | ||||
\(63\) | 1.85950 | − | 3.22075i | 0.234275 | − | 0.405777i | ||||
\(64\) | 8.85236 | 1.10654 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.341219 | −0.0420012 | ||||||||
\(67\) | 3.88025 | − | 6.72078i | 0.474047 | − | 0.821074i | −0.525511 | − | 0.850787i | \(-0.676126\pi\) |
0.999558 | + | 0.0297125i | \(0.00945919\pi\) | |||||||
\(68\) | −2.92525 | − | 1.68889i | −0.354738 | − | 0.204808i | ||||
\(69\) | −3.07382 | − | 5.32402i | −0.370045 | − | 0.640936i | ||||
\(70\) | 1.09679 | + | 7.80642i | 0.131091 | + | 0.933046i | ||||
\(71\) | 5.26627 | − | 3.04048i | 0.624991 | − | 0.360839i | −0.153818 | − | 0.988099i | \(-0.549157\pi\) |
0.778810 | + | 0.627260i | \(0.215824\pi\) | |||||||
\(72\) | −1.96420 | − | 3.40210i | −0.231483 | − | 0.400941i | ||||
\(73\) | −10.2810 | −1.20330 | −0.601650 | − | 0.798760i | \(-0.705490\pi\) | ||||
−0.601650 | + | 0.798760i | \(0.705490\pi\) | |||||||
\(74\) | −1.38493 | − | 2.39877i | −0.160995 | − | 0.278851i | ||||
\(75\) | −6.36068 | − | 1.58646i | −0.734468 | − | 0.183189i | ||||
\(76\) | 1.00759 | + | 0.581732i | 0.115578 | + | 0.0667293i | ||||
\(77\) | − | 0.622216i | − | 0.0709081i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.2351 | 1.60157 | 0.800785 | − | 0.598952i | \(-0.204416\pi\) | ||||
0.800785 | + | 0.598952i | \(0.204416\pi\) | |||||||
\(80\) | 5.54184 | + | 2.23932i | 0.619597 | + | 0.250363i | ||||
\(81\) | 1.75803 | − | 3.04500i | 0.195337 | − | 0.338333i | ||||
\(82\) | 3.20838 | − | 1.85236i | 0.354306 | − | 0.204559i | ||||
\(83\) | −9.52543 | −1.04555 | −0.522776 | − | 0.852470i | \(-0.675103\pi\) | ||||
−0.522776 | + | 0.852470i | \(0.675103\pi\) | |||||||
\(84\) | −1.73205 | + | 1.00000i | −0.188982 | + | 0.109109i | ||||
\(85\) | −8.84958 | − | 11.3279i | −0.959872 | − | 1.22869i | ||||
\(86\) | − | 7.72546i | − | 0.833057i | ||||||
\(87\) | 9.88938 | − | 5.70964i | 1.06025 | − | 0.612137i | ||||
\(88\) | −0.569195 | − | 0.328625i | −0.0606764 | − | 0.0350315i | ||||
\(89\) | −4.86087 | − | 2.80642i | −0.515251 | − | 0.297480i | 0.219738 | − | 0.975559i | \(-0.429480\pi\) |
−0.734989 | + | 0.678078i | \(0.762813\pi\) | |||||||
\(90\) | −0.483940 | − | 3.44446i | −0.0510118 | − | 0.363078i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 2.46367i | − | 0.256856i | ||||||
\(93\) | −3.66593 | + | 6.34957i | −0.380139 | + | 0.658420i | ||||
\(94\) | −0.665926 | + | 1.15342i | −0.0686850 | + | 0.118966i | ||||
\(95\) | 3.04820 | + | 3.90186i | 0.312739 | + | 0.400322i | ||||
\(96\) | 3.78568i | 0.386374i | ||||||||
\(97\) | 9.02074 | + | 15.6244i | 0.915918 | + | 1.58642i | 0.805552 | + | 0.592525i | \(0.201869\pi\) |
0.110366 | + | 0.993891i | \(0.464798\pi\) | |||||||
\(98\) | 0.867413 | + | 1.50240i | 0.0876219 | + | 0.151766i | ||||
\(99\) | 0.274543i | 0.0275926i | ||||||||
\(100\) | −1.88965 | − | 1.82512i | −0.188965 | − | 0.182512i | ||||
\(101\) | 1.96989 | − | 3.41195i | 0.196011 | − | 0.339501i | −0.751220 | − | 0.660052i | \(-0.770534\pi\) |
0.947232 | + | 0.320550i | \(0.103868\pi\) | |||||||
\(102\) | −5.11753 | + | 8.86382i | −0.506711 | + | 0.877649i | ||||
\(103\) | 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 | ||||
\(106\) | 6.55699 | + | 3.78568i | 0.636871 | + | 0.367698i | ||||
\(107\) | −14.8242 | − | 8.55877i | −1.43311 | − | 0.827407i | −0.435754 | − | 0.900066i | \(-0.643518\pi\) |
−0.997357 | + | 0.0726585i | \(0.976852\pi\) | |||||||
\(108\) | 2.55403 | − | 1.47457i | 0.245762 | − | 0.141891i | ||||
\(109\) | − | 16.7239i | − | 1.60186i | −0.598757 | − | 0.800931i | \(-0.704338\pi\) | ||
0.598757 | − | 0.800931i | \(-0.295662\pi\) | |||||||
\(110\) | −0.358261 | − | 0.458592i | −0.0341588 | − | 0.0437250i | ||||
\(111\) | 2.58996 | − | 1.49532i | 0.245828 | − | 0.141929i | ||||
\(112\) | 7.76049 | 0.733297 | ||||||||
\(113\) | −1.02555 | + | 0.592104i | −0.0964760 | + | 0.0557005i | −0.547462 | − | 0.836831i | \(-0.684406\pi\) |
0.450986 | + | 0.892531i | \(0.351073\pi\) | |||||||
\(114\) | 1.76271 | − | 3.05311i | 0.165093 | − | 0.285950i | ||||
\(115\) | 3.92804 | − | 9.72106i | 0.366291 | − | 0.906494i | ||||
\(116\) | 4.57628 | 0.424897 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 11.2509i | − | 1.03573i | ||||||
\(119\) | −16.1632 | − | 9.33185i | −1.48168 | − | 0.855449i | ||||
\(120\) | −3.36831 | + | 8.33585i | −0.307483 | + | 0.760956i | ||||
\(121\) | −5.47703 | − | 9.48650i | −0.497912 | − | 0.862409i | ||||
\(122\) | 0.341219 | 0.0308925 | ||||||||
\(123\) | 2.00000 | + | 3.46410i | 0.180334 | + | 0.312348i | ||||
\(124\) | −2.54460 | + | 1.46912i | −0.228511 | + | 0.131931i | ||||
\(125\) | −4.54617 | − | 10.2143i | −0.406622 | − | 0.913597i | ||||
\(126\) | −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 | \(0.634103\pi\) | |||||||
\(128\) | 2.48741 | − | 4.30831i | 0.219858 | − | 0.380805i | ||||
\(129\) | 8.34122 | 0.734403 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.4193 | −1.17245 | −0.586224 | − | 0.810149i | \(-0.699386\pi\) | ||||
−0.586224 | + | 0.810149i | \(0.699386\pi\) | |||||||
\(132\) | 0.0738216 | − | 0.127863i | 0.00642535 | − | 0.0111290i | ||||
\(133\) | 5.56737 | + | 3.21432i | 0.482752 | + | 0.278717i | ||||
\(134\) | −4.71186 | − | 8.16118i | −0.407043 | − | 0.705018i | ||||
\(135\) | 12.4286 | − | 1.74620i | 1.06969 | − | 0.150289i | ||||
\(136\) | −17.0733 | + | 9.85728i | −1.46402 | + | 0.845255i | ||||
\(137\) | 9.57628 | + | 16.5866i | 0.818157 | + | 1.41709i | 0.907039 | + | 0.421047i | \(0.138337\pi\) |
−0.0888816 | + | 0.996042i | \(0.528329\pi\) | |||||||
\(138\) | −7.46520 | −0.635480 | ||||||||
\(139\) | 9.54617 | + | 16.5345i | 0.809696 | + | 1.40243i | 0.913075 | + | 0.407792i | \(0.133701\pi\) |
−0.103379 | + | 0.994642i | \(0.532966\pi\) | |||||||
\(140\) | −3.16253 | − | 1.27790i | −0.267283 | − | 0.108002i | ||||
\(141\) | −1.24535 | − | 0.719004i | −0.104877 | − | 0.0605510i | ||||
\(142\) | − | 7.38424i | − | 0.619671i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −3.42419 | −0.285349 | ||||||||
\(145\) | 18.0569 | + | 7.29635i | 1.49955 | + | 0.605929i | ||||
\(146\) | −6.24221 | + | 10.8118i | −0.516609 | + | 0.894793i | ||||
\(147\) | −1.62215 | + | 0.936550i | −0.133793 | + | 0.0772454i | ||||
\(148\) | 1.19850 | 0.0985160 | ||||||||
\(149\) | −3.09289 | + | 1.78568i | −0.253379 | + | 0.146289i | −0.621311 | − | 0.783564i | \(-0.713399\pi\) |
0.367931 | + | 0.929853i | \(0.380066\pi\) | |||||||
\(150\) | −5.53032 | + | 5.72586i | −0.451549 | + | 0.467514i | ||||
\(151\) | − | 1.26517i | − | 0.102958i | −0.998674 | − | 0.0514792i | \(-0.983606\pi\) | ||
0.998674 | − | 0.0514792i | \(-0.0163936\pi\) | |||||||
\(152\) | 5.88083 | − | 3.39530i | 0.476999 | − | 0.275395i | ||||
\(153\) | 7.13177 | + | 4.11753i | 0.576570 | + | 0.332883i | ||||
\(154\) | −0.654342 | − | 0.377784i | −0.0527284 | − | 0.0304427i | ||||
\(155\) | −12.3827 | + | 1.73975i | −0.994603 | + | 0.139740i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 5.61285i | − | 0.447954i | −0.974594 | − | 0.223977i | \(-0.928096\pi\) | ||
0.974594 | − | 0.223977i | \(-0.0719041\pi\) | |||||||
\(158\) | 8.64296 | − | 14.9700i | 0.687597 | − | 1.19095i | ||||
\(159\) | −4.08742 | + | 7.07962i | −0.324154 | + | 0.561450i | ||||
\(160\) | −5.08788 | + | 3.97474i | −0.402232 | + | 0.314231i | ||||
\(161\) | − | 13.6128i | − | 1.07284i | ||||||
\(162\) | −2.13481 | − | 3.69760i | −0.167727 | − | 0.290511i | ||||
\(163\) | −1.85950 | − | 3.22075i | −0.145647 | − | 0.252269i | 0.783967 | − | 0.620803i | \(-0.213193\pi\) |
−0.929614 | + | 0.368534i | \(0.879860\pi\) | |||||||
\(164\) | 1.60300i | 0.125174i | ||||||||
\(165\) | 0.495144 | − | 0.386816i | 0.0385469 | − | 0.0301136i | ||||
\(166\) | −5.78346 | + | 10.0172i | −0.448883 | + | 0.777489i | ||||
\(167\) | −3.51828 | + | 6.09384i | −0.272253 | + | 0.471556i | −0.969438 | − | 0.245335i | \(-0.921102\pi\) |
0.697185 | + | 0.716891i | \(0.254435\pi\) | |||||||
\(168\) | 11.6731i | 0.900597i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −17.2859 | + | 2.42864i | −1.32577 | + | 0.186268i | ||||
\(171\) | −2.45651 | − | 1.41827i | −0.187854 | − | 0.108458i | ||||
\(172\) | 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 | \(0.324572\pi\) | |||||||
\(174\) | − | 13.8666i | − | 1.05123i | ||||||
\(175\) | −10.4411 | − | 10.0846i | −0.789276 | − | 0.762322i | ||||
\(176\) | −0.496139 | + | 0.286446i | −0.0373979 | + | 0.0215917i | ||||
\(177\) | 12.1476 | 0.913073 | ||||||||
\(178\) | −5.90265 | + | 3.40790i | −0.442422 | + | 0.255433i | ||||
\(179\) | 2.02074 | − | 3.50003i | 0.151037 | − | 0.261605i | −0.780572 | − | 0.625066i | \(-0.785072\pi\) |
0.931609 | + | 0.363462i | \(0.118405\pi\) | |||||||
\(180\) | 1.39542 | + | 0.563853i | 0.104008 | + | 0.0420271i | ||||
\(181\) | −2.34122 | −0.174021 | −0.0870107 | − | 0.996207i | \(-0.527731\pi\) | ||||
−0.0870107 | + | 0.996207i | \(0.527731\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.368416i | 0.0272341i | ||||||||
\(184\) | −12.4529 | − | 7.18966i | −0.918036 | − | 0.530029i | ||||
\(185\) | 4.72899 | + | 1.91086i | 0.347682 | + | 0.140490i | ||||
\(186\) | 4.45161 | + | 7.71041i | 0.326408 | + | 0.565355i | ||||
\(187\) | 1.37778 | 0.100754 | ||||||||
\(188\) | −0.288141 | − | 0.499075i | −0.0210149 | − | 0.0363988i | ||||
\(189\) | 14.1121 | − | 8.14764i | 1.02651 | − | 0.592654i | ||||
\(190\) | 5.95407 | − | 0.836535i | 0.431953 | − | 0.0606887i | ||||
\(191\) | 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 | ||||
\(193\) | −6.76049 | + | 11.7095i | −0.486631 | + | 0.842869i | −0.999882 | − | 0.0153692i | \(-0.995108\pi\) |
0.513251 | + | 0.858238i | \(0.328441\pi\) | |||||||
\(194\) | 21.9081 | 1.57291 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.750647 | −0.0536176 | ||||||||
\(197\) | −1.00000 | + | 1.73205i | −0.0712470 | + | 0.123404i | −0.899448 | − | 0.437028i | \(-0.856031\pi\) |
0.828201 | + | 0.560431i | \(0.189365\pi\) | |||||||
\(198\) | 0.288718 | + | 0.166691i | 0.0205183 | + | 0.0118462i | ||||
\(199\) | −11.0716 | − | 19.1766i | −0.784845 | − | 1.35939i | −0.929092 | − | 0.369849i | \(-0.879409\pi\) |
0.144247 | − | 0.989542i | \(-0.453924\pi\) | |||||||
\(200\) | −14.7397 | + | 4.22522i | −1.04226 | + | 0.298768i | ||||
\(201\) | 8.81167 | − | 5.08742i | 0.621527 | − | 0.358839i | ||||
\(202\) | −2.39207 | − | 4.14319i | −0.168306 | − | 0.291514i | ||||
\(203\) | 25.2859 | 1.77472 | ||||||||
\(204\) | −2.21432 | − | 3.83531i | −0.155033 | − | 0.268526i | ||||
\(205\) | −2.55580 | + | 6.32507i | −0.178505 | + | 0.441762i | ||||
\(206\) | 2.96796 | + | 1.71355i | 0.206788 | + | 0.119389i | ||||
\(207\) | 6.00645i | 0.417477i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.474572 | −0.0328269 | ||||||||
\(210\) | −3.87218 | + | 9.58283i | −0.267206 | + | 0.661278i | ||||
\(211\) | −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 | ||||
\(213\) | 7.97280 | 0.546287 | ||||||||
\(214\) | −18.0013 | + | 10.3931i | −1.23055 | + | 0.710456i | ||||
\(215\) | 8.75780 | + | 11.2104i | 0.597277 | + | 0.764545i | ||||
\(216\) | − | 17.2128i | − | 1.17118i | ||||||
\(217\) | −14.0600 | + | 8.11753i | −0.954453 | + | 0.551054i | ||||
\(218\) | −17.5874 | − | 10.1541i | −1.19117 | − | 0.687722i | ||||
\(219\) | −11.6736 | − | 6.73975i | −0.788828 | − | 0.455430i | ||||
\(220\) | 0.249353 | − | 0.0350337i | 0.0168114 | − | 0.00236197i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 3.63158i | − | 0.243736i | ||||||
\(223\) | −9.83431 | + | 17.0335i | −0.658554 | + | 1.14065i | 0.322436 | + | 0.946591i | \(0.395498\pi\) |
−0.980990 | + | 0.194058i | \(0.937835\pi\) | |||||||
\(224\) | −4.19135 | + | 7.25964i | −0.280047 | + | 0.485055i | ||||
\(225\) | 4.60699 | + | 4.44966i | 0.307132 | + | 0.296644i | ||||
\(226\) | 1.43801i | 0.0956548i | ||||||||
\(227\) | −6.63581 | − | 11.4936i | −0.440434 | − | 0.762855i | 0.557287 | − | 0.830320i | \(-0.311842\pi\) |
−0.997722 | + | 0.0674650i | \(0.978509\pi\) | |||||||
\(228\) | 0.762714 | + | 1.32106i | 0.0505120 | + | 0.0874893i | ||||
\(229\) | 2.42864i | 0.160489i | 0.996775 | + | 0.0802445i | \(0.0255701\pi\) | ||||
−0.996775 | + | 0.0802445i | \(0.974430\pi\) | |||||||
\(230\) | −7.83803 | − | 10.0331i | −0.516825 | − | 0.661562i | ||||
\(231\) | 0.407896 | − | 0.706496i | 0.0268376 | − | 0.0464841i | ||||
\(232\) | 13.3548 | − | 23.1312i | 0.876787 | − | 1.51864i | ||||
\(233\) | − | 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 | ||||
\(236\) | 4.21597 | + | 2.43409i | 0.274436 | + | 0.158446i | ||||
\(237\) | 16.1632 | + | 9.33185i | 1.04992 | + | 0.606169i | ||||
\(238\) | −19.6273 | + | 11.3319i | −1.27225 | + | 0.734535i | ||||
\(239\) | − | 12.7763i | − | 0.826431i | −0.910633 | − | 0.413215i | \(-0.864406\pi\) | ||
0.910633 | − | 0.413215i | \(-0.135594\pi\) | |||||||
\(240\) | 4.82450 | + | 6.17561i | 0.311420 | + | 0.398634i | ||||
\(241\) | −5.10807 | + | 2.94914i | −0.329040 | + | 0.189971i | −0.655415 | − | 0.755269i | \(-0.727506\pi\) |
0.326375 | + | 0.945240i | \(0.394173\pi\) | |||||||
\(242\) | −13.3017 | −0.855068 | ||||||||
\(243\) | −10.5903 | + | 6.11430i | −0.679367 | + | 0.392233i | ||||
\(244\) | −0.0738216 | + | 0.127863i | −0.00472594 | + | 0.00818557i | ||||
\(245\) | −2.96187 | − | 1.19682i | −0.189227 | − | 0.0764619i | ||||
\(246\) | 4.85728 | 0.309689 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 17.1492i | 1.08897i | ||||||||
\(249\) | −10.8157 | − | 6.24443i | −0.685415 | − | 0.395725i | ||||
\(250\) | −13.5020 | − | 1.42083i | −0.853939 | − | 0.0898610i | ||||
\(251\) | −1.03657 | − | 1.79538i | −0.0654274 | − | 0.113324i | 0.831456 | − | 0.555590i | \(-0.187508\pi\) |
−0.896884 | + | 0.442267i | \(0.854174\pi\) | |||||||
\(252\) | 1.95407 | 0.123095 | ||||||||
\(253\) | 0.502461 | + | 0.870288i | 0.0315895 | + | 0.0547145i | ||||
\(254\) | 2.42058 | − | 1.39752i | 0.151881 | − | 0.0876885i | ||||
\(255\) | −2.62222 | − | 18.6637i | −0.164210 | − | 1.16877i | ||||
\(256\) | 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 | \(0.861193\pi\) | |||||||
\(258\) | 5.06445 | − | 8.77189i | 0.315299 | − | 0.546114i | ||||
\(259\) | 6.62222 | 0.411484 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −11.1570 | −0.690602 | ||||||||
\(262\) | −8.14764 | + | 14.1121i | −0.503363 | + | 0.871850i | ||||
\(263\) | −9.54851 | − | 5.51283i | −0.588786 | − | 0.339936i | 0.175831 | − | 0.984420i | \(-0.443739\pi\) |
−0.764617 | + | 0.644484i | \(0.777072\pi\) | |||||||
\(264\) | −0.430862 | − | 0.746276i | −0.0265177 | − | 0.0459301i | ||||
\(265\) | −13.8064 | + | 1.93978i | −0.848122 | + | 0.119160i | ||||
\(266\) | 6.76056 | − | 3.90321i | 0.414517 | − | 0.239321i | ||||
\(267\) | −3.67952 | − | 6.37312i | −0.225183 | − | 0.390029i | ||||
\(268\) | 4.07758 | 0.249078 | ||||||||
\(269\) | −8.07160 | − | 13.9804i | −0.492134 | − | 0.852401i | 0.507825 | − | 0.861460i | \(-0.330450\pi\) |
−0.999959 | + | 0.00905911i | \(0.997116\pi\) | |||||||
\(270\) | 5.70981 | − | 14.1306i | 0.347488 | − | 0.859959i | ||||
\(271\) | −11.2682 | − | 6.50569i | −0.684493 | − | 0.395192i | 0.117053 | − | 0.993126i | \(-0.462655\pi\) |
−0.801546 | + | 0.597933i | \(0.795989\pi\) | |||||||
\(272\) | 17.1842i | 1.04195i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 23.2573 | 1.40503 | ||||||||
\(275\) | 1.03975 | + | 0.259330i | 0.0626990 | + | 0.0156382i | ||||
\(276\) | 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 | \(0.260291\pi\) | |||||||
\(278\) | 23.1842 | 1.39050 | ||||||||
\(279\) | 6.20374 | − | 3.58173i | 0.371408 | − | 0.214433i | ||||
\(280\) | −15.6884 | + | 12.2560i | −0.937560 | + | 0.732439i | ||||
\(281\) | 6.75557i | 0.403003i | 0.979488 | + | 0.201502i | \(0.0645822\pi\) | ||||
−0.979488 | + | 0.201502i | \(0.935418\pi\) | |||||||
\(282\) | −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 | \(0.474667\pi\) | |||||||
\(284\) | 2.76704 | + | 1.59755i | 0.164194 | + | 0.0947974i | ||||
\(285\) | 0.903212 | + | 6.42864i | 0.0535017 | + | 0.380800i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.85728i | 0.522829i | ||||||||
\(288\) | 1.84937 | − | 3.20320i | 0.108975 | − | 0.188750i | ||||
\(289\) | 12.1637 | − | 21.0682i | 0.715512 | − | 1.23930i | ||||
\(290\) | 18.6365 | − | 14.5592i | 1.09437 | − | 0.854944i | ||||
\(291\) | 23.6543i | 1.38664i | ||||||||
\(292\) | −2.70096 | − | 4.67820i | −0.158062 | − | 0.273771i | ||||
\(293\) | −4.04371 | − | 7.00391i | −0.236236 | − | 0.409173i | 0.723395 | − | 0.690434i | \(-0.242581\pi\) |
−0.959631 | + | 0.281261i | \(0.909247\pi\) | |||||||
\(294\) | 2.27454i | 0.132654i | ||||||||
\(295\) | 12.7543 | + | 16.3262i | 0.742585 | + | 0.950548i | ||||
\(296\) | 3.49754 | − | 6.05792i | 0.203290 | − | 0.352109i | ||||
\(297\) | −0.601472 | + | 1.04178i | −0.0349009 | + | 0.0604502i | ||||
\(298\) | 4.33677i | 0.251223i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −0.949145 | − | 3.31111i | −0.0547989 | − | 0.191167i | ||||
\(301\) | 15.9956 | + | 9.23506i | 0.921971 | + | 0.532300i | ||||
\(302\) | −1.33050 | − | 0.768163i | −0.0765616 | − | 0.0442028i | ||||
\(303\) | 4.47343 | − | 2.58274i | 0.256992 | − | 0.148374i | ||||
\(304\) | − | 5.91903i | − | 0.339480i | ||||||
\(305\) | −0.495144 | + | 0.386816i | −0.0283519 | + | 0.0221490i | ||||
\(306\) | 8.66025 | − | 5.00000i | 0.495074 | − | 0.285831i | ||||
\(307\) | −13.4336 | −0.766694 | −0.383347 | − | 0.923604i | \(-0.625229\pi\) | ||||
−0.383347 | + | 0.923604i | \(0.625229\pi\) | |||||||
\(308\) | 0.283129 | − | 0.163465i | 0.0161328 | − | 0.00931426i | ||||
\(309\) | −1.85013 | + | 3.20453i | −0.105250 | + | 0.182299i | ||||
\(310\) | −5.68871 | + | 14.0784i | −0.323097 | + | 0.799597i | ||||
\(311\) | −20.2034 | −1.14563 | −0.572815 | − | 0.819684i | \(-0.694149\pi\) | ||||
−0.572815 | + | 0.819684i | \(0.694149\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.1111i | 0.854129i | 0.904221 | + | 0.427064i | \(0.140452\pi\) | ||||
−0.904221 | + | 0.427064i | \(0.859548\pi\) | |||||||
\(314\) | −5.90265 | − | 3.40790i | −0.333106 | − | 0.192319i | ||||
\(315\) | 7.71028 | + | 3.11553i | 0.434425 | + | 0.175540i | ||||
\(316\) | 3.73975 | + | 6.47743i | 0.210377 | + | 0.364384i | ||||
\(317\) | −22.2810 | −1.25143 | −0.625713 | − | 0.780054i | \(-0.715192\pi\) | ||||
−0.625713 | + | 0.780054i | \(0.715192\pi\) | |||||||
\(318\) | 4.96343 | + | 8.59692i | 0.278336 | + | 0.482091i | ||||
\(319\) | −1.61656 | + | 0.933323i | −0.0905102 | + | 0.0522561i | ||||
\(320\) | 2.75404 | + | 19.6019i | 0.153955 | + | 1.09578i | ||||
\(321\) | −11.2215 | − | 19.4361i | −0.626321 | − | 1.08482i | ||||
\(322\) | −14.3157 | − | 8.26517i | −0.797783 | − | 0.460600i | ||||
\(323\) | −7.11753 | + | 12.3279i | −0.396030 | + | 0.685944i | ||||
\(324\) | 1.84743 | 0.102635 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.51606 | −0.250121 | ||||||||
\(327\) | 10.9634 | − | 18.9892i | 0.606279 | − | 1.05011i | ||||
\(328\) | 8.10252 | + | 4.67799i | 0.447387 | + | 0.258299i | ||||
\(329\) | −1.59210 | − | 2.75761i | −0.0877755 | − | 0.152032i | ||||
\(330\) | −0.106156 | − | 0.755569i | −0.00584370 | − | 0.0415927i | ||||
\(331\) | −7.14974 | + | 4.12790i | −0.392985 | + | 0.226890i | −0.683453 | − | 0.729995i | \(-0.739522\pi\) |
0.290468 | + | 0.956885i | \(0.406189\pi\) | |||||||
\(332\) | −2.50246 | − | 4.33439i | −0.137340 | − | 0.237881i | ||||
\(333\) | −2.92195 | −0.160122 | ||||||||
\(334\) | 4.27232 | + | 7.39988i | 0.233771 | + | 0.404903i | ||||
\(335\) | 16.0891 | + | 6.50122i | 0.879043 | + | 0.355199i | ||||
\(336\) | 8.81167 | + | 5.08742i | 0.480716 | + | 0.277542i | ||||
\(337\) | − | 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 | ||||||||
\(340\) | 2.82968 | − | 7.00286i | 0.153461 | − | 0.379783i | ||||
\(341\) | 0.599249 | − | 1.03793i | 0.0324512 | − | 0.0562071i | ||||
\(342\) | −2.98299 | + | 1.72223i | −0.161302 | + | 0.0931276i | ||||
\(343\) | 16.1748 | 0.873359 | ||||||||
\(344\) | 16.8962 | − | 9.75504i | 0.910984 | − | 0.525957i | ||||
\(345\) | 10.8328 | − | 8.46277i | 0.583217 | − | 0.455620i | ||||
\(346\) | − | 0.879077i | − | 0.0472595i | ||||||
\(347\) | −1.05589 | + | 0.609621i | −0.0566834 | + | 0.0327262i | −0.528074 | − | 0.849198i | \(-0.677086\pi\) |
0.471390 | + | 0.881925i | \(0.343752\pi\) | |||||||
\(348\) | 5.19615 | + | 3.00000i | 0.278543 | + | 0.160817i | ||||
\(349\) | 19.4956 | + | 11.2558i | 1.04358 | + | 0.602510i | 0.920844 | − | 0.389930i | \(-0.127501\pi\) |
0.122733 | + | 0.992440i | \(0.460834\pi\) | |||||||
\(350\) | −16.9447 | + | 4.85728i | −0.905732 | + | 0.259632i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 0.618825i | − | 0.0329835i | ||||||
\(353\) | 7.14050 | − | 12.3677i | 0.380050 | − | 0.658267i | −0.611019 | − | 0.791616i | \(-0.709240\pi\) |
0.991069 | + | 0.133350i | \(0.0425733\pi\) | |||||||
\(354\) | 7.37556 | − | 12.7748i | 0.392007 | − | 0.678975i | ||||
\(355\) | 8.37098 | + | 10.7153i | 0.444286 | + | 0.568709i | ||||
\(356\) | − | 2.94914i | − | 0.156304i | ||||||
\(357\) | −12.2351 | − | 21.1918i | −0.647548 | − | 1.12159i | ||||
\(358\) | −2.45383 | − | 4.25016i | −0.129689 | − | 0.224628i | ||||
\(359\) | 12.1541i | 0.641469i | 0.947169 | + | 0.320734i | \(0.103930\pi\) | ||||
−0.947169 | + | 0.320734i | \(0.896070\pi\) | |||||||
\(360\) | 6.92225 | − | 5.40779i | 0.364835 | − | 0.285015i | ||||
\(361\) | −7.04839 | + | 12.2082i | −0.370968 | + | 0.642536i | ||||
\(362\) | −1.42149 | + | 2.46210i | −0.0747121 | + | 0.129405i | ||||
\(363\) | − | 14.3620i | − | 0.753808i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.19850 | − | 22.7654i | −0.167417 | − | 1.19160i | ||||
\(366\) | 0.387438 | + | 0.223688i | 0.0202517 | + | 0.0116923i | ||||
\(367\) | −4.03330 | − | 2.32862i | −0.210536 | − | 0.121553i | 0.391024 | − | 0.920380i | \(-0.372121\pi\) |
−0.601561 | + | 0.798827i | \(0.705454\pi\) | |||||||
\(368\) | −10.8545 | + | 6.26687i | −0.565832 | + | 0.326683i | ||||
\(369\) | − | 3.90813i | − | 0.203449i | ||||||
\(370\) | 4.88078 | − | 3.81295i | 0.253740 | − | 0.198226i | ||||
\(371\) | −15.6765 | + | 9.05086i | −0.813885 | + | 0.469897i | ||||
\(372\) | −3.85236 | −0.199735 | ||||||||
\(373\) | 30.2591 | − | 17.4701i | 1.56676 | − | 0.904569i | 0.570216 | − | 0.821495i | \(-0.306860\pi\) |
0.996543 | − | 0.0830740i | \(-0.0264738\pi\) | |||||||
\(374\) | 0.836535 | − | 1.44892i | 0.0432562 | − | 0.0749220i | ||||
\(375\) | 1.53408 | − | 14.5781i | 0.0792193 | − | 0.752812i | ||||
\(376\) | −3.36349 | −0.173459 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | − | 19.7877i | − | 1.01777i | ||||||
\(379\) | 15.1309 | + | 8.73583i | 0.777222 | + | 0.448729i | 0.835445 | − | 0.549574i | \(-0.185210\pi\) |
−0.0582228 | + | 0.998304i | \(0.518543\pi\) | |||||||
\(380\) | −0.974672 | + | 2.41211i | −0.0499996 | + | 0.123739i | ||||
\(381\) | 1.50891 | + | 2.61352i | 0.0773040 | + | 0.133895i | ||||
\(382\) | 2.55215 | 0.130579 | ||||||||
\(383\) | 9.33900 | + | 16.1756i | 0.477200 | + | 0.826535i | 0.999659 | − | 0.0261296i | \(-0.00831824\pi\) |
−0.522458 | + | 0.852665i | \(0.674985\pi\) | |||||||
\(384\) | 5.64866 | − | 3.26126i | 0.288257 | − | 0.166425i | ||||
\(385\) | 1.37778 | − | 0.193576i | 0.0702184 | − | 0.00986555i | ||||
\(386\) | 8.20940 | + | 14.2191i | 0.417847 | + | 0.723733i | ||||
\(387\) | −7.05780 | − | 4.07483i | −0.358768 | − | 0.207135i | ||||
\(388\) | −4.73975 | + | 8.20948i | −0.240624 | + | 0.416773i | ||||
\(389\) | 1.61285 | 0.0817746 | 0.0408873 | − | 0.999164i | \(-0.486982\pi\) | ||||
0.0408873 | + | 0.999164i | \(0.486982\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.1432 | 1.52441 | ||||||||
\(392\) | −2.19059 | + | 3.79421i | −0.110641 | + | 0.191636i | ||||
\(393\) | −15.2369 | − | 8.79706i | −0.768602 | − | 0.443753i | ||||
\(394\) | 1.21432 | + | 2.10326i | 0.0611765 | + | 0.105961i | ||||
\(395\) | 4.42864 | + | 31.5210i | 0.222829 | + | 1.58599i | ||||
\(396\) | −0.124926 | + | 0.0721262i | −0.00627778 | + | 0.00362448i | ||||
\(397\) | −3.28814 | − | 5.69523i | −0.165027 | − | 0.285835i | 0.771638 | − | 0.636062i | \(-0.219438\pi\) |
−0.936665 | + | 0.350227i | \(0.886104\pi\) | |||||||
\(398\) | −26.8889 | −1.34782 | ||||||||
\(399\) | 4.21432 | + | 7.29942i | 0.210980 | + | 0.365428i | ||||
\(400\) | −3.23446 | + | 12.9681i | −0.161723 | + | 0.648404i | ||||
\(401\) | 18.9730 | + | 10.9541i | 0.947466 | + | 0.547020i | 0.892293 | − | 0.451457i | \(-0.149095\pi\) |
0.0551735 | + | 0.998477i | \(0.482429\pi\) | |||||||
\(402\) | − | 12.3555i | − | 0.616237i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 2.07007 | 0.102990 | ||||||||
\(405\) | 7.28953 | + | 2.94552i | 0.362220 | + | 0.146364i | ||||
\(406\) | 15.3526 | − | 26.5915i | 0.761936 | − | 1.31971i | ||||
\(407\) | −0.423367 | + | 0.244431i | −0.0209855 | + | 0.0121160i | ||||
\(408\) | −25.8479 | −1.27966 | ||||||||
\(409\) | −8.82790 | + | 5.09679i | −0.436511 | + | 0.252020i | −0.702117 | − | 0.712062i | \(-0.747762\pi\) |
0.265605 | + | 0.964082i | \(0.414428\pi\) | |||||||
\(410\) | 5.09986 | + | 6.52809i | 0.251864 | + | 0.322399i | ||||
\(411\) | 25.1111i | 1.23864i | ||||||||
\(412\) | −1.28422 | + | 0.741443i | −0.0632688 | + | 0.0365283i | ||||
\(413\) | 23.2950 | + | 13.4494i | 1.14627 | + | 0.661801i | ||||
\(414\) | 6.31658 | + | 3.64688i | 0.310443 | + | 0.179234i | ||||
\(415\) | −2.96343 | − | 21.0923i | −0.145469 | − | 1.03538i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 25.0321i | 1.22583i | ||||||||
\(418\) | −0.288141 | + | 0.499075i | −0.0140935 | + | 0.0244106i | ||||
\(419\) | 3.65878 | − | 6.33719i | 0.178743 | − | 0.309592i | −0.762707 | − | 0.646744i | \(-0.776130\pi\) |
0.941450 | + | 0.337152i | \(0.109464\pi\) | |||||||
\(420\) | −2.75317 | − | 3.52421i | −0.134341 | − | 0.171964i | ||||
\(421\) | 7.86665i | 0.383397i | 0.981454 | + | 0.191698i | \(0.0613996\pi\) | ||||
−0.981454 | + | 0.191698i | \(0.938600\pi\) | |||||||
\(422\) | 11.9333 | + | 20.6691i | 0.580905 | + | 1.00616i | ||||
\(423\) | 0.702491 | + | 1.21675i | 0.0341563 | + | 0.0591604i | ||||
\(424\) | 19.1209i | 0.928594i | ||||||||
\(425\) | 22.3305 | − | 23.1200i | 1.08319 | − | 1.12149i | ||||
\(426\) | 4.84077 | − | 8.38445i | 0.234536 | − | 0.406228i | ||||
\(427\) | −0.407896 | + | 0.706496i | −0.0197395 | + | 0.0341898i | ||||
\(428\) | − | 8.99402i | − | 0.434743i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 17.1066 | − | 2.40345i | 0.824955 | − | 0.115905i | ||||
\(431\) | −33.7053 | − | 19.4598i | −1.62353 | − | 0.937343i | −0.985967 | − | 0.166943i | \(-0.946611\pi\) |
−0.637560 | − | 0.770401i | \(-0.720056\pi\) | |||||||
\(432\) | −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 | \(0.171986\pi\) | |||||||
\(434\) | 19.7146i | 0.946329i | ||||||||
\(435\) | 15.7196 | + | 20.1219i | 0.753698 | + | 0.964773i | ||||
\(436\) | 7.60995 | − | 4.39361i | 0.364450 | − | 0.210416i | ||||
\(437\) | −10.3827 | −0.496672 | ||||||||
\(438\) | −14.1755 | + | 8.18421i | −0.677330 | + | 0.391057i | ||||
\(439\) | −5.44446 | + | 9.43008i | −0.259850 | + | 0.450073i | −0.966202 | − | 0.257788i | \(-0.917006\pi\) |
0.706352 | + | 0.707861i | \(0.250340\pi\) | |||||||
\(440\) | 0.550599 | − | 1.36262i | 0.0262488 | − | 0.0649602i | ||||
\(441\) | 1.83008 | 0.0871468 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 28.6287i | − | 1.36019i | −0.733124 | − | 0.680095i | \(-0.761939\pi\) | ||
0.733124 | − | 0.680095i | \(-0.238061\pi\) | |||||||
\(444\) | 1.36084 | + | 0.785680i | 0.0645825 | + | 0.0372867i | ||||
\(445\) | 4.70207 | − | 11.6366i | 0.222899 | − | 0.551629i | ||||
\(446\) | 11.9420 | + | 20.6842i | 0.565470 | + | 0.979423i | ||||
\(447\) | −4.68244 | −0.221472 | ||||||||
\(448\) | 12.8501 | + | 22.2571i | 0.607112 | + | 1.05155i | ||||
\(449\) | 9.46601 | − | 5.46520i | 0.446729 | − | 0.257919i | −0.259719 | − | 0.965684i | \(-0.583630\pi\) |
0.706448 | + | 0.707765i | \(0.250297\pi\) | |||||||
\(450\) | 7.47658 | − | 2.14320i | 0.352449 | − | 0.101031i | ||||
\(451\) | −0.326929 | − | 0.566258i | −0.0153945 | − | 0.0266641i | ||||
\(452\) | −0.538855 | − | 0.311108i | −0.0253456 | − | 0.0146333i | ||||
\(453\) | 0.829390 | − | 1.43655i | 0.0389682 | − | 0.0674948i | ||||
\(454\) | −16.1160 | −0.756361 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 8.90321 | 0.416931 | ||||||||
\(457\) | −5.70318 | + | 9.87820i | −0.266784 | + | 0.462083i | −0.968029 | − | 0.250837i | \(-0.919294\pi\) |
0.701246 | + | 0.712920i | \(0.252628\pi\) | |||||||
\(458\) | 2.55403 | + | 1.47457i | 0.119342 | + | 0.0689022i | ||||
\(459\) | 18.0415 | + | 31.2488i | 0.842105 | + | 1.45857i | ||||
\(460\) | 5.45536 | − | 0.766468i | 0.254357 | − | 0.0357368i | ||||
\(461\) | 22.6321 | − | 13.0667i | 1.05408 | − | 0.608576i | 0.130294 | − | 0.991475i | \(-0.458408\pi\) |
0.923790 | + | 0.382900i | \(0.125074\pi\) | |||||||
\(462\) | −0.495316 | − | 0.857913i | −0.0230442 | − | 0.0399137i | ||||
\(463\) | 7.92242 | 0.368186 | 0.184093 | − | 0.982909i | \(-0.441065\pi\) | ||||
0.184093 | + | 0.982909i | \(0.441065\pi\) | |||||||
\(464\) | −11.6407 | − | 20.1623i | −0.540408 | − | 0.936013i | ||||
\(465\) | −15.2005 | − | 6.14213i | −0.704905 | − | 0.284835i | ||||
\(466\) | −17.0100 | − | 9.82071i | −0.787972 | − | 0.454936i | ||||
\(467\) | 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 | ||||||||
\(470\) | −2.76121 | − | 1.11574i | −0.127365 | − | 0.0514650i | ||||
\(471\) | 3.67952 | − | 6.37312i | 0.169544 | − | 0.293658i | ||||
\(472\) | 24.6066 | − | 14.2066i | 1.13261 | − | 0.653914i | ||||
\(473\) | −1.36349 | −0.0626935 | ||||||||
\(474\) | 19.6273 | − | 11.3319i | 0.901514 | − | 0.520489i | ||||
\(475\) | −7.69165 | + | 7.96360i | −0.352917 | + | 0.365395i | ||||
\(476\) | − | 9.80642i | − | 0.449477i | ||||||
\(477\) | 6.91703 | − | 3.99355i | 0.316709 | − | 0.182852i | ||||
\(478\) | −13.4360 | − | 7.75726i | −0.614547 | − | 0.354809i | ||||
\(479\) | −7.90839 | − | 4.56591i | −0.361344 | − | 0.208622i | 0.308326 | − | 0.951281i | \(-0.400231\pi\) |
−0.669670 | + | 0.742659i | \(0.733564\pi\) | |||||||
\(480\) | −8.38271 | + | 1.17775i | −0.382616 | + | 0.0537569i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 7.16241i | 0.326239i | ||||||||
\(483\) | 8.92396 | − | 15.4567i | 0.406054 | − | 0.703306i | ||||
\(484\) | 2.87778 | − | 4.98447i | 0.130808 | − | 0.226567i | ||||
\(485\) | −31.7910 | + | 24.8357i | −1.44355 | + | 1.12773i | ||||
\(486\) | 14.8494i | 0.673584i | ||||||||
\(487\) | −8.09457 | − | 14.0202i | −0.366800 | − | 0.635316i | 0.622263 | − | 0.782808i | \(-0.286213\pi\) |
−0.989063 | + | 0.147492i | \(0.952880\pi\) | |||||||
\(488\) | 0.430862 | + | 0.746276i | 0.0195042 | + | 0.0337823i | ||||
\(489\) | − | 4.87601i | − | 0.220501i | ||||||
\(490\) | −3.05694 | + | 2.38814i | −0.138099 | + | 0.107885i | ||||
\(491\) | 13.1318 | − | 22.7450i | 0.592631 | − | 1.02647i | −0.401246 | − | 0.915970i | \(-0.631423\pi\) |
0.993877 | − | 0.110496i | \(-0.0352440\pi\) | |||||||
\(492\) | −1.05086 | + | 1.82013i | −0.0473762 | + | 0.0820580i | ||||
\(493\) | 55.9911i | 2.52171i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.607926 | + | 0.0854124i | −0.0273242 | + | 0.00383900i | ||||
\(496\) | 12.9454 | + | 7.47404i | 0.581267 | + | 0.335595i | ||||
\(497\) | 15.2891 | + | 8.82717i | 0.685810 | + | 0.395953i | ||||
\(498\) | −13.1337 | + | 7.58274i | −0.588534 | + | 0.339791i | ||||
\(499\) | 30.0306i | 1.34435i | 0.740391 | + | 0.672177i | \(0.234641\pi\) | ||||
−0.740391 | + | 0.672177i | \(0.765359\pi\) | |||||||
\(500\) | 3.45352 | − | 4.75210i | 0.154446 | − | 0.212521i | ||||
\(501\) | −7.98969 | + | 4.61285i | −0.356953 | + | 0.206087i | ||||
\(502\) | −2.51744 | −0.112359 | ||||||||
\(503\) | −14.4889 | + | 8.36519i | −0.646030 | + | 0.372985i | −0.786933 | − | 0.617038i | \(-0.788333\pi\) |
0.140904 | + | 0.990023i | \(0.454999\pi\) | |||||||
\(504\) | 5.70249 | − | 9.87700i | 0.254009 | − | 0.439957i | ||||
\(505\) | 8.16799 | + | 3.30048i | 0.363471 | + | 0.146869i | ||||
\(506\) | 1.22030 | 0.0542488 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.20940i | 0.0536583i | ||||||||
\(509\) | 10.3649 | + | 5.98418i | 0.459416 | + | 0.265244i | 0.711799 | − | 0.702383i | \(-0.247881\pi\) |
−0.252383 | + | 0.967628i | \(0.581214\pi\) | |||||||
\(510\) | −21.2194 | − | 8.57425i | −0.939613 | − | 0.379674i | ||||
\(511\) | −14.9240 | − | 25.8490i | −0.660197 | − | 1.14349i | ||||
\(512\) | 24.1131 | 1.06566 | ||||||||
\(513\) | −6.21432 | − | 10.7635i | −0.274369 | − | 0.475221i | ||||
\(514\) | −19.3469 | + | 11.1699i | −0.853354 | + | 0.492684i | ||||
\(515\) | −6.24935 | + | 0.878023i | −0.275379 | + | 0.0386903i | ||||
\(516\) | 2.19135 | + | 3.79554i | 0.0964689 | + | 0.167089i | ||||
\(517\) | 0.203571 | + | 0.117532i | 0.00895303 | + | 0.00516904i | ||||
\(518\) | 4.02074 | − | 6.96413i | 0.176661 | − | 0.305986i | ||||
\(519\) | 0.949145 | 0.0416628 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.75065 | 0.251940 | 0.125970 | − | 0.992034i | \(-0.459796\pi\) | ||||
0.125970 | + | 0.992034i | \(0.459796\pi\) | |||||||
\(522\) | −6.77409 | + | 11.7331i | −0.296494 | + | 0.513542i | ||||
\(523\) | 18.0164 | + | 10.4018i | 0.787801 | + | 0.454837i | 0.839188 | − | 0.543842i | \(-0.183031\pi\) |
−0.0513870 | + | 0.998679i | \(0.516364\pi\) | |||||||
\(524\) | −3.52543 | − | 6.10622i | −0.154009 | − | 0.266751i | ||||
\(525\) | −5.24443 | − | 18.2953i | −0.228886 | − | 0.798472i | ||||
\(526\) | −11.5949 | + | 6.69434i | −0.505563 | + | 0.291887i | ||||
\(527\) | −17.9748 | − | 31.1333i | −0.782995 | − | 1.35619i | ||||
\(528\) | −0.751123 | −0.0326884 | ||||||||
\(529\) | −0.507145 | − | 0.878401i | −0.0220498 | − | 0.0381913i | ||||
\(530\) | −6.34278 | + | 15.6970i | −0.275513 | + | 0.681835i | ||||
\(531\) | −10.2786 | − | 5.93433i | −0.446051 | − | 0.257528i | ||||
\(532\) | 3.37778i | 0.146446i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −8.93624 | −0.386709 | ||||||||
\(535\) | 14.3399 | − | 35.4883i | 0.619969 | − | 1.53429i | ||||
\(536\) | 11.8995 | − | 20.6105i | 0.513978 | − | 0.890237i | ||||
\(537\) | 4.58892 | − | 2.64941i | 0.198026 | − | 0.114331i | ||||
\(538\) | −19.6030 | −0.845145 | ||||||||
\(539\) | 0.265165 | − | 0.153093i | 0.0114214 | − | 0.00659417i | ||||
\(540\) | 4.05975 | + | 5.19670i | 0.174704 | + | 0.223630i | ||||
\(541\) | 16.6222i | 0.714645i | 0.933981 | + | 0.357322i | \(0.116310\pi\) | ||||
−0.933981 | + | 0.357322i | \(0.883690\pi\) | |||||||
\(542\) | −13.6832 | + | 7.89999i | −0.587743 | + | 0.339333i | ||||
\(543\) | −2.65834 | − | 1.53480i | −0.114080 | − | 0.0658644i | ||||
\(544\) | −16.0752 | − | 9.28100i | −0.689217 | − | 0.397919i | ||||
\(545\) | 37.0321 | − | 5.20294i | 1.58628 | − | 0.222870i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.9748i | 1.28163i | 0.767695 | + | 0.640815i | \(0.221404\pi\) | ||||
−0.767695 | + | 0.640815i | \(0.778596\pi\) | |||||||
\(548\) | −5.03164 | + | 8.71506i | −0.214941 | + | 0.372289i | ||||
\(549\) | 0.179978 | − | 0.311730i | 0.00768126 | − | 0.0133043i | ||||
\(550\) | 0.904012 | − | 0.935975i | 0.0385472 | − | 0.0399101i | ||||
\(551\) | − | 19.2859i | − | 0.821608i | ||||||
\(552\) | −9.42642 | − | 16.3270i | −0.401215 | − | 0.694925i | ||||
\(553\) | 20.6637 | + | 35.7906i | 0.878710 | + | 1.52197i | ||||
\(554\) | − | 9.19405i | − | 0.390618i | ||||||
\(555\) | 4.11687 | + | 5.26980i | 0.174751 | + | 0.223691i | ||||
\(556\) | −5.01582 | + | 8.68766i | −0.212718 | + | 0.368439i | ||||
\(557\) | 2.51828 | − | 4.36179i | 0.106703 | − | 0.184815i | −0.807730 | − | 0.589553i | \(-0.799304\pi\) |
0.914433 | + | 0.404738i | \(0.132637\pi\) | |||||||
\(558\) | − | 8.69874i | − | 0.368247i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.41435 | + | 17.1842i | 0.102025 | + | 0.726165i | ||||
\(561\) | 1.56441 | + | 0.903212i | 0.0660494 | + | 0.0381336i | ||||
\(562\) | 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 | \(0.352680\pi\) | |||||||
\(564\) | − | 0.755569i | − | 0.0318152i | ||||||
\(565\) | −1.63017 | − | 2.08670i | −0.0685816 | − | 0.0877880i | ||||
\(566\) | 20.0713 | − | 11.5882i | 0.843661 | − | 0.487088i | ||||
\(567\) | 10.2079 | 0.428690 | ||||||||
\(568\) | 16.1500 | − | 9.32418i | 0.677637 | − | 0.391234i | ||||
\(569\) | 2.18643 | − | 3.78701i | 0.0916600 | − | 0.158760i | −0.816550 | − | 0.577275i | \(-0.804116\pi\) |
0.908210 | + | 0.418515i | \(0.137449\pi\) | |||||||
\(570\) | 7.30896 | + | 2.95337i | 0.306138 | + | 0.123703i | ||||
\(571\) | 1.58120 | 0.0661714 | 0.0330857 | − | 0.999453i | \(-0.489467\pi\) | ||||
0.0330857 | + | 0.999453i | \(0.489467\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.75557i | 0.115116i | ||||||||
\(574\) | 9.31460 | + | 5.37778i | 0.388784 | + | 0.224464i | ||||
\(575\) | 22.7476 | + | 5.67363i | 0.948640 | + | 0.236607i | ||||
\(576\) | −5.66992 | − | 9.82059i | −0.236247 | − | 0.409191i | ||||
\(577\) | 7.61729 | 0.317112 | 0.158556 | − | 0.987350i | \(-0.449316\pi\) | ||||
0.158556 | + | 0.987350i | \(0.449316\pi\) | |||||||
\(578\) | −14.7706 | − | 25.5835i | −0.614377 | − | 1.06413i | ||||
\(579\) | −15.3524 | + | 8.86373i | −0.638025 | + | 0.368364i | ||||
\(580\) | 1.42372 | + | 10.1334i | 0.0591166 | + | 0.420765i | ||||
\(581\) | −13.8272 | − | 23.9494i | −0.573648 | − | 0.993587i | ||||
\(582\) | 24.8756 | + | 14.3620i | 1.03113 | + | 0.595323i | ||||
\(583\) | 0.668149 | − | 1.15727i | 0.0276719 | − | 0.0479291i | ||||
\(584\) | −31.5285 | −1.30466 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.82071 | −0.405690 | ||||||||
\(587\) | −23.4121 | + | 40.5510i | −0.966322 | + | 1.67372i | −0.260301 | + | 0.965528i | \(0.583822\pi\) |
−0.706021 | + | 0.708191i | \(0.749512\pi\) | |||||||
\(588\) | −0.852324 | − | 0.492089i | −0.0351492 | − | 0.0202934i | ||||
\(589\) | 6.19135 | + | 10.7237i | 0.255110 | + | 0.441864i | ||||
\(590\) | 24.9131 | − | 3.50024i | 1.02565 | − | 0.144103i | ||||
\(591\) | −2.27091 | + | 1.31111i | −0.0934126 | + | 0.0539318i | ||||
\(592\) | −3.04863 | − | 5.28039i | −0.125298 | − | 0.217023i | ||||
\(593\) | 15.9398 | 0.654568 | 0.327284 | − | 0.944926i | \(-0.393867\pi\) | ||||
0.327284 | + | 0.944926i | \(0.393867\pi\) | |||||||
\(594\) | 0.730379 | + | 1.26505i | 0.0299678 | + | 0.0519058i | ||||
\(595\) | 15.6352 | − | 38.6938i | 0.640980 | − | 1.58629i | ||||
\(596\) | −1.62509 | − | 0.938246i | −0.0665662 | − | 0.0384320i | ||||
\(597\) | − | 29.0321i | − | 1.18821i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −18.4889 | −0.755434 | −0.377717 | − | 0.925921i | \(-0.623291\pi\) | ||||
−0.377717 | + | 0.925921i | \(0.623291\pi\) | |||||||
\(600\) | −19.5061 | − | 4.86516i | −0.796335 | − | 0.198619i | ||||
\(601\) | −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 | ||||
\(603\) | −9.94116 | −0.404835 | ||||||||
\(604\) | 0.575697 | − | 0.332379i | 0.0234248 | − | 0.0135243i | ||||
\(605\) | 19.3022 | − | 15.0792i | 0.784746 | − | 0.613058i | ||||
\(606\) | − | 6.27254i | − | 0.254804i | ||||||
\(607\) | −31.2432 | + | 18.0383i | −1.26812 | + | 0.732150i | −0.974632 | − | 0.223812i | \(-0.928150\pi\) |
−0.293489 | + | 0.955962i | \(0.594817\pi\) | |||||||
\(608\) | 5.53703 | + | 3.19680i | 0.224556 | + | 0.129647i | ||||
\(609\) | 28.7110 | + | 16.5763i | 1.16343 | + | 0.671705i | ||||
\(610\) | 0.106156 | + | 0.755569i | 0.00429813 | + | 0.0305921i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 4.32693i | 0.174906i | ||||||||
\(613\) | −4.97481 | + | 8.61662i | −0.200931 | + | 0.348022i | −0.948829 | − | 0.315792i | \(-0.897730\pi\) |
0.747898 | + | 0.663814i | \(0.231063\pi\) | |||||||
\(614\) | −8.15632 | + | 14.1272i | −0.329162 | + | 0.570126i | ||||
\(615\) | −7.04841 | + | 5.50635i | −0.284219 | + | 0.222037i | ||||
\(616\) | − | 1.90813i | − | 0.0768809i | ||||||
\(617\) | 1.04593 | + | 1.81161i | 0.0421077 | + | 0.0729326i | 0.886311 | − | 0.463090i | \(-0.153259\pi\) |
−0.844203 | + | 0.536023i | \(0.819926\pi\) | |||||||
\(618\) | 2.24665 | + | 3.89132i | 0.0903737 | + | 0.156532i | ||||
\(619\) | − | 18.4681i | − | 0.742296i | −0.928574 | − | 0.371148i | \(-0.878964\pi\) | ||
0.928574 | − | 0.371148i | \(-0.121036\pi\) | |||||||
\(620\) | −4.04475 | − | 5.17749i | −0.162441 | − | 0.207933i | ||||
\(621\) | −13.1590 | + | 22.7921i | −0.528053 | + | 0.914615i | ||||
\(622\) | −12.2667 | + | 21.2466i | −0.491850 | + | 0.851909i | ||||
\(623\) | − | 16.2953i | − | 0.652857i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.2034 | − | 13.2444i | 0.848137 | − | 0.529777i | ||||
\(626\) | 15.8913 | + | 9.17484i | 0.635144 | + | 0.366700i | ||||
\(627\) | −0.538855 | − | 0.311108i | −0.0215198 | − | 0.0124244i | ||||
\(628\) | 2.55403 | − | 1.47457i | 0.101917 | − | 0.0588418i | ||||
\(629\) | 14.6637i | 0.584680i | ||||||||
\(630\) | 7.95776 | − | 6.21675i | 0.317045 | − | 0.247681i | ||||
\(631\) | −33.4855 | + | 19.3329i | −1.33304 | + | 0.769629i | −0.985764 | − | 0.168136i | \(-0.946225\pi\) |
−0.347272 | + | 0.937764i | \(0.612892\pi\) | |||||||
\(632\) | 43.6543 | 1.73648 | ||||||||
\(633\) | −22.3166 | + | 12.8845i | −0.887004 | + | 0.512112i | ||||
\(634\) | −13.5281 | + | 23.4314i | −0.537271 | + | 0.930580i | ||||
\(635\) | −1.92824 | + | 4.77199i | −0.0765200 | + | 0.189371i | ||||
\(636\) | −4.29529 | −0.170319 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.26671i | 0.0897398i | ||||||||
\(639\) | −6.74607 | − | 3.89485i | −0.266871 | − | 0.154078i | ||||
\(640\) | 10.3138 | + | 4.16756i | 0.407690 | + | 0.164737i | ||||
\(641\) | 12.2859 | + | 21.2798i | 0.485265 | + | 0.840503i | 0.999857 | − | 0.0169322i | \(-0.00538994\pi\) |
−0.514592 | + | 0.857435i | \(0.672057\pi\) | |||||||
\(642\) | −27.2529 | −1.07559 | ||||||||
\(643\) | −13.7469 | − | 23.8103i | −0.542125 | − | 0.938987i | −0.998782 | − | 0.0493445i | \(-0.984287\pi\) |
0.456657 | − | 0.889643i | \(-0.349047\pi\) | |||||||
\(644\) | 6.19430 | − | 3.57628i | 0.244090 | − | 0.140925i | ||||
\(645\) | 2.59502 | + | 18.4701i | 0.102179 | + | 0.727261i | ||||
\(646\) | 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 | \(0.753987\pi\) | |||||||
\(648\) | 5.39131 | − | 9.33802i | 0.211791 | − | 0.366832i | ||||
\(649\) | −1.98571 | −0.0779459 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −21.2859 | −0.834261 | ||||||||
\(652\) | 0.977034 | − | 1.69227i | 0.0382636 | − | 0.0662745i | ||||
\(653\) | 1.83636 | + | 1.06022i | 0.0718623 | + | 0.0414897i | 0.535501 | − | 0.844535i | \(-0.320123\pi\) |
−0.463638 | + | 0.886025i | \(0.653456\pi\) | |||||||
\(654\) | −13.3131 | − | 23.0590i | −0.520584 | − | 0.901678i | ||||
\(655\) | −4.17484 | − | 29.7146i | −0.163125 | − | 1.16104i | ||||
\(656\) | 7.06257 | − | 4.07758i | 0.275747 | − | 0.159203i | ||||
\(657\) | 6.58496 | + | 11.4055i | 0.256904 | + | 0.444970i | ||||
\(658\) | −3.86665 | −0.150738 | ||||||||
\(659\) | 16.9447 | + | 29.3491i | 0.660072 | + | 1.14328i | 0.980596 | + | 0.196038i | \(0.0628075\pi\) |
−0.320525 | + | 0.947240i | \(0.603859\pi\) | |||||||
\(660\) | 0.306096 | + | 0.123686i | 0.0119148 | + | 0.00481445i | ||||
\(661\) | 32.3624 | + | 18.6844i | 1.25875 | + | 0.726741i | 0.972832 | − | 0.231513i | \(-0.0743675\pi\) |
0.285920 | + | 0.958253i | \(0.407701\pi\) | |||||||
\(662\) | 10.0252i | 0.389640i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −29.2114 | −1.13362 | ||||||||
\(665\) | −5.38548 | + | 13.3279i | −0.208840 | + | 0.516835i | ||||
\(666\) | −1.77409 | + | 3.07281i | −0.0687446 | + | 0.119069i | ||||
\(667\) | −35.3672 | + | 20.4193i | −1.36942 | + | 0.790637i | ||||
\(668\) | −3.69721 | −0.143049 | ||||||||
\(669\) | −22.3328 | + | 12.8938i | −0.863436 | + | 0.498505i | ||||
\(670\) | 16.6056 | − | 12.9726i | 0.641529 | − | 0.501174i | ||||
\(671\) | − | 0.0602231i | − | 0.00232489i | ||||||
\(672\) | −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 | \(0.906191\pi\) | |||||||
\(674\) | −14.4559 | − | 8.34614i | −0.556822 | − | 0.321481i | ||||
\(675\) | 7.73329 | + | 26.9777i | 0.297655 | + | 1.03837i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 15.3047i | − | 0.588206i | −0.955774 | − | 0.294103i | \(-0.904979\pi\) | ||
0.955774 | − | 0.294103i | \(-0.0950208\pi\) | |||||||
\(678\) | −0.942691 | + | 1.63279i | −0.0362038 | + | 0.0627069i | ||||
\(679\) | −26.1891 | + | 45.3609i | −1.00505 | + | 1.74079i | ||||
\(680\) | −27.1388 | − | 34.7391i | −1.04073 | − | 1.33218i | ||||
\(681\) | − | 17.4005i | − | 0.666790i | ||||||
\(682\) | −0.727680 | − | 1.26038i | −0.0278643 | − | 0.0482624i | ||||
\(683\) | −6.54839 | − | 11.3422i | −0.250567 | − | 0.433995i | 0.713115 | − | 0.701047i | \(-0.247284\pi\) |
−0.963682 | + | 0.267052i | \(0.913950\pi\) | |||||||
\(684\) | − | 1.49039i | − | 0.0569866i | ||||||
\(685\) | −33.7488 | + | 26.3652i | −1.28948 | + | 1.00736i | ||||
\(686\) | 9.82071 | − | 17.0100i | 0.374957 | − | 0.649444i | ||||
\(687\) | −1.59210 | + | 2.75761i | −0.0607426 | + | 0.105209i | ||||
\(688\) | − | 17.0060i | − | 0.648347i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −2.32248 | − | 16.5303i | −0.0884154 | − | 0.629300i | ||||
\(691\) | −15.9417 | − | 9.20395i | −0.606451 | − | 0.350135i | 0.165124 | − | 0.986273i | \(-0.447198\pi\) |
−0.771575 | + | 0.636138i | \(0.780531\pi\) | |||||||
\(692\) | 0.329411 | + | 0.190185i | 0.0125223 | + | 0.00722976i | ||||
\(693\) | −0.690271 | + | 0.398528i | −0.0262212 | + | 0.0151388i | ||||
\(694\) | 1.48055i | 0.0562009i | ||||||||
\(695\) | −33.6427 | + | 26.2823i | −1.27614 | + | 0.996943i | ||||
\(696\) | 30.3275 | − | 17.5096i | 1.14956 | − | 0.663700i | ||||
\(697\) | −19.6128 | −0.742890 | ||||||||
\(698\) | 23.6739 | − | 13.6681i | 0.896071 | − | 0.517347i | ||||
\(699\) | 10.6035 | − | 18.3658i | 0.401060 | − | 0.694657i | ||||
\(700\) | 1.84579 | − | 7.40042i | 0.0697644 | − | 0.279710i | ||||
\(701\) | 31.3689 | 1.18479 | 0.592393 | − | 0.805649i | \(-0.298183\pi\) | ||||
0.592393 | + | 0.805649i | \(0.298183\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 5.05086i | − | 0.190497i | ||||||
\(704\) | −1.64305 | − | 0.948617i | −0.0619249 | − | 0.0357524i | ||||
\(705\) | 1.20467 | − | 2.98129i | 0.0453703 | − | 0.112282i | ||||
\(706\) | −8.67085 | − | 15.0183i | −0.326332 | − | 0.565223i | ||||
\(707\) | 11.4380 | 0.430171 | ||||||||
\(708\) | 3.19135 | + | 5.52759i | 0.119938 | + | 0.207739i | ||||
\(709\) | −8.20948 | + | 4.73975i | −0.308314 | + | 0.178005i | −0.646172 | − | 0.763192i | \(-0.723631\pi\) |
0.337858 | + | 0.941197i | \(0.390298\pi\) | |||||||
\(710\) | 16.3511 | − | 2.29729i | 0.613644 | − | 0.0862159i | ||||
\(711\) | −9.11753 | − | 15.7920i | −0.341934 | − | 0.592247i | ||||
\(712\) | −14.9067 | − | 8.60639i | −0.558653 | − | 0.322538i | ||||
\(713\) | 13.1104 | − | 22.7079i | 0.490988 | − | 0.850416i | ||||
\(714\) | −29.7146 | −1.11204 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.12351 | 0.0793592 | ||||||||
\(717\) | 8.37556 | − | 14.5069i | 0.312791 | − | 0.541770i | ||||
\(718\) | 12.7816 | + | 7.37948i | 0.477006 | + | 0.275400i | ||||
\(719\) | 14.8113 | + | 25.6540i | 0.552370 | + | 0.956733i | 0.998103 | + | 0.0615669i | \(0.0196098\pi\) |
−0.445733 | + | 0.895166i | \(0.647057\pi\) | |||||||
\(720\) | −1.06529 | − | 7.58226i | −0.0397011 | − | 0.282574i | ||||
\(721\) | −7.09585 | + | 4.09679i | −0.264263 | + | 0.152572i | ||||
\(722\) | 8.55900 | + | 14.8246i | 0.318533 | + | 0.551716i | ||||
\(723\) | −7.73329 | −0.287604 | ||||||||
\(724\) | −0.615071 | − | 1.06533i | −0.0228589 | − | 0.0395928i | ||||
\(725\) | −10.5388 | + | 42.2537i | −0.391401 | + | 1.56926i | ||||
\(726\) | −15.1035 | − | 8.72001i | −0.560543 | − | 0.323630i | ||||
\(727\) | 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 | ||||||||
\(730\) | −25.8828 | − | 10.4586i | −0.957967 | − | 0.387090i | ||||
\(731\) | −20.4494 | + | 35.4194i | −0.756348 | + | 1.31003i | ||||
\(732\) | −0.167642 | + | 0.0967881i | −0.00619622 | + | 0.00357739i | ||||
\(733\) | 26.0830 | 0.963397 | 0.481698 | − | 0.876337i | \(-0.340020\pi\) | ||||
0.481698 | + | 0.876337i | \(0.340020\pi\) | |||||||
\(734\) | −4.89771 | + | 2.82769i | −0.180778 | + | 0.104372i | ||||
\(735\) | −2.57849 | − | 3.30060i | −0.0951089 | − | 0.121744i | ||||
\(736\) | − | 13.5387i | − | 0.499042i | ||||||
\(737\) | −1.44040 | + | 0.831613i | −0.0530577 | + | 0.0306329i | ||||
\(738\) | −4.10992 | − | 2.37286i | −0.151288 | − | 0.0873463i | ||||
\(739\) | −24.4814 | − | 14.1344i | −0.900564 | − | 0.519941i | −0.0231807 | − | 0.999731i | \(-0.507379\pi\) |
−0.877383 | + | 0.479791i | \(0.840713\pi\) | |||||||
\(740\) | 0.372862 | + | 2.65386i | 0.0137067 | + | 0.0975578i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 21.9813i | 0.806958i | ||||||||
\(743\) | −10.3341 | + | 17.8991i | −0.379120 | + | 0.656656i | −0.990935 | − | 0.134346i | \(-0.957107\pi\) |
0.611814 | + | 0.791002i | \(0.290440\pi\) | |||||||
\(744\) | −11.2422 | + | 19.4721i | −0.412159 | + | 0.713881i | ||||
\(745\) | −4.91629 | − | 6.29311i | −0.180119 | − | 0.230562i | ||||
\(746\) | − | 42.4286i | − | 1.55342i | ||||||
\(747\) | 6.10102 | + | 10.5673i | 0.223225 | + | 0.386636i | ||||
\(748\) | 0.361963 | + | 0.626938i | 0.0132347 | + | 0.0229231i | ||||
\(749\) | − | 49.6958i | − | 1.81585i | ||||||
\(750\) | −14.3994 | − | 10.4645i | −0.525792 | − | 0.382111i | ||||
\(751\) | 1.23014 | − | 2.13067i | 0.0448885 | − | 0.0777491i | −0.842708 | − | 0.538371i | \(-0.819040\pi\) |
0.887597 | + | 0.460621i | \(0.152373\pi\) | |||||||
\(752\) | −1.46590 | + | 2.53901i | −0.0534557 | + | 0.0925880i | ||||
\(753\) | − | 2.71810i | − | 0.0990530i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.80150 | − | 0.393606i | 0.101957 | − | 0.0143248i | ||||
\(756\) | 7.41490 | + | 4.28100i | 0.269677 | + | 0.155698i | ||||
\(757\) | −42.0918 | − | 24.3017i | −1.52985 | − | 0.883262i | −0.999367 | − | 0.0355687i | \(-0.988676\pi\) |
−0.530487 | − | 0.847693i | \(-0.677991\pi\) | |||||||
\(758\) | 18.3738 | − | 10.6081i | 0.667365 | − | 0.385303i | ||||
\(759\) | 1.31756i | 0.0478244i | ||||||||
\(760\) | 9.34786 | + | 11.9657i | 0.339082 | + | 0.434043i | ||||
\(761\) | −11.9729 | + | 6.91258i | −0.434019 | + | 0.250581i | −0.701057 | − | 0.713105i | \(-0.747288\pi\) |
0.267038 | + | 0.963686i | \(0.413955\pi\) | |||||||
\(762\) | 3.66461 | 0.132755 | ||||||||
\(763\) | 42.0482 | − | 24.2766i | 1.52225 | − | 0.878870i | ||||
\(764\) | −0.552148 | + | 0.956349i | −0.0199760 | + | 0.0345995i | ||||
\(765\) | −6.89878 | + | 17.0730i | −0.249426 | + | 0.617276i | ||||
\(766\) | 22.6811 | 0.819500 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 15.2924i | 0.551816i | ||||||||
\(769\) | 33.7480 | + | 19.4844i | 1.21698 | + | 0.702626i | 0.964272 | − | 0.264915i | \(-0.0853440\pi\) |
0.252712 | + | 0.967541i | \(0.418677\pi\) | |||||||
\(770\) | 0.632965 | − | 1.56645i | 0.0228105 | − | 0.0564511i | ||||
\(771\) | −12.0602 | − | 20.8889i | −0.434338 | − | 0.752296i | ||||
\(772\) | −7.10430 | −0.255689 | ||||||||
\(773\) | 0.222996 | + | 0.386241i | 0.00802061 | + | 0.0138921i | 0.870008 | − | 0.493038i | \(-0.164114\pi\) |
−0.861987 | + | 0.506930i | \(0.830780\pi\) | |||||||
\(774\) | −8.57043 | + | 4.94814i | −0.308058 | + | 0.177857i | ||||
\(775\) | −7.70471 | − | 26.8780i | −0.276761 | − | 0.965487i | ||||
\(776\) | 27.6637 | + | 47.9149i | 0.993069 | + | 1.72005i | ||||
\(777\) | 7.51921 | + | 4.34122i | 0.269750 | + | 0.155740i | ||||
\(778\) | 0.979256 | − | 1.69612i | 0.0351080 | − | 0.0608089i | ||||
\(779\) | 6.75557 | 0.242043 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.30327 | −0.0466347 | ||||||||
\(782\) | 18.3017 | − | 31.6995i | 0.654469 | − | 1.13357i | ||||
\(783\) | −42.3364 | − | 24.4429i | −1.51298 | − | 0.873519i | ||||
\(784\) | 1.90943 | + | 3.30722i | 0.0681938 | + | 0.118115i | ||||
\(785\) | 12.4286 | − | 1.74620i | 0.443597 | − | 0.0623246i | ||||
\(786\) | −18.5025 | + | 10.6824i | −0.659963 | + | 0.381030i | ||||
\(787\) | 16.9518 | + | 29.3615i | 0.604268 | + | 1.04662i | 0.992167 | + | 0.124921i | \(0.0398677\pi\) |
−0.387899 | + | 0.921702i | \(0.626799\pi\) | |||||||
\(788\) | −1.05086 | −0.0374352 | ||||||||
\(789\) | −7.22792 | − | 12.5191i | −0.257321 | − | 0.445693i | ||||
\(790\) | 35.8374 | + | 14.4810i | 1.27504 | + | 0.515210i | ||||
\(791\) | −2.97740 | − | 1.71900i | −0.105864 | − | 0.0611207i | ||||
\(792\) | 0.841934i | 0.0299168i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −7.98571 | −0.283402 | ||||||||
\(795\) | −16.9482 | − | 6.84833i | −0.601090 | − | 0.242885i | ||||
\(796\) | 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 | \(0.274967\pi\) | |||||||
\(798\) | 10.2351 | 0.362317 | ||||||||
\(799\) | 6.10622 | − | 3.52543i | 0.216023 | − | 0.124721i | ||||
\(800\) | −10.3842 | − | 10.0296i | −0.367138 | − | 0.354601i | ||||
\(801\) | 7.19004i | 0.254047i | ||||||||
\(802\) | 23.0393 | − | 13.3017i | 0.813546 | − | 0.469701i | ||||
\(803\) | 1.90822 | + | 1.10171i | 0.0673396 | + | 0.0388785i | ||||
\(804\) | 4.62989 | + | 2.67307i | 0.163284 | + | 0.0942719i | ||||
\(805\) | 30.1432 | − | 4.23506i | 1.06241 | − | 0.149266i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 21.1655i | − | 0.745060i | ||||||
\(808\) | 6.04101 | − | 10.4633i | 0.212522 | − | 0.368099i | ||||
\(809\) | 3.97211 | − | 6.87990i | 0.139652 | − | 0.241884i | −0.787713 | − | 0.616043i | \(-0.788735\pi\) |
0.927365 | + | 0.374158i | \(0.122068\pi\) | |||||||
\(810\) | 7.52351 | − | 5.87750i | 0.264349 | − | 0.206514i | ||||
\(811\) | 8.12245i | 0.285218i | 0.989779 | + | 0.142609i | \(0.0455491\pi\) | ||||
−0.989779 | + | 0.142609i | \(0.954451\pi\) | |||||||
\(812\) | 6.64296 | + | 11.5059i | 0.233122 | + | 0.403779i | ||||
\(813\) | −8.52966 | − | 14.7738i | −0.299148 | − | 0.518140i | ||||
\(814\) | 0.593635i | 0.0208069i | ||||||||
\(815\) | 6.55327 | − | 5.11953i | 0.229551 | − | 0.179329i | ||||
\(816\) | −11.2652 | + | 19.5119i | −0.394360 | + | 0.683052i | ||||
\(817\) | 7.04371 | − | 12.2001i | 0.246428 | − | 0.426826i | ||||
\(818\) | 12.3783i | 0.432796i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.54956 | + | 0.498707i | −0.123956 | + | 0.0174156i | ||||
\(821\) | −19.2314 | − | 11.1032i | −0.671180 | − | 0.387506i | 0.125344 | − | 0.992113i | \(-0.459997\pi\) |
−0.796524 | + | 0.604608i | \(0.793330\pi\) | |||||||
\(822\) | 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 | \(0.271263\pi\) | |||||||
\(824\) | 8.65491i | 0.301508i | ||||||||
\(825\) | 1.01058 | + | 0.976067i | 0.0351838 | + | 0.0339823i | ||||
\(826\) | 28.2876 | − | 16.3319i | 0.984251 | − | 0.568258i | ||||
\(827\) | −23.1570 | −0.805248 | −0.402624 | − | 0.915365i | \(-0.631902\pi\) | ||||
−0.402624 | + | 0.915365i | \(0.631902\pi\) | |||||||
\(828\) | −2.73314 | + | 1.57798i | −0.0949831 | + | 0.0548385i | ||||
\(829\) | 13.5598 | − | 23.4862i | 0.470950 | − | 0.815710i | −0.528498 | − | 0.848935i | \(-0.677244\pi\) |
0.999448 | + | 0.0332250i | \(0.0105778\pi\) | |||||||
\(830\) | −23.9807 | − | 9.68998i | −0.832381 | − | 0.336344i | ||||
\(831\) | 9.92687 | 0.344359 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 9.18421i | − | 0.318214i | ||||||
\(834\) | 26.3246 | + | 15.1985i | 0.911545 | + | 0.526281i | ||||
\(835\) | −14.5883 | − | 5.89476i | −0.504848 | − | 0.203997i | ||||
\(836\) | −0.124677 | − | 0.215946i | −0.00431203 | − | 0.00746866i | ||||
\(837\) | 31.3876 | 1.08492 | ||||||||
\(838\) | −4.44293 | − | 7.69538i | −0.153478 | − | 0.265832i | ||||
\(839\) | −21.9931 | + | 12.6977i | −0.759287 | + | 0.438374i | −0.829040 | − | 0.559190i | \(-0.811112\pi\) |
0.0697528 | + | 0.997564i | \(0.477779\pi\) | |||||||
\(840\) | −25.8479 | + | 3.63158i | −0.891838 | + | 0.125302i | ||||
\(841\) | −23.4289 | − | 40.5800i | −0.807892 | − | 1.39931i | ||||
\(842\) | 8.27282 | + | 4.77631i | 0.285100 | + | 0.164603i | ||||
\(843\) | −4.42864 | + | 7.67063i | −0.152530 | + | 0.264190i | ||||
\(844\) | −10.3269 | −0.355468 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.70610 | 0.0586568 | ||||||||
\(847\) | 15.9010 | − | 27.5413i | 0.546364 | − | 0.946331i | ||||
\(848\) | 14.4338 | + | 8.33338i | 0.495660 | + | 0.286170i | ||||
\(849\) | 12.5118 | + | 21.6711i | 0.429405 | + | 0.743751i | ||||
\(850\) | −10.7556 | − | 37.5210i | −0.368913 | − | 1.28696i | ||||
\(851\) | −9.26244 | + | 5.34767i | −0.317512 | + | 0.183316i | ||||
\(852\) | 2.09457 | + | 3.62789i | 0.0717586 | + | 0.124290i | ||||
\(853\) | 25.0651 | 0.858214 | 0.429107 | − | 0.903254i | \(-0.358828\pi\) | ||||
0.429107 | + | 0.903254i | \(0.358828\pi\) | |||||||
\(854\) | 0.495316 | + | 0.857913i | 0.0169494 | + | 0.0293572i | ||||
\(855\) | 2.37626 | − | 5.88074i | 0.0812663 | − | 0.201117i | ||||
\(856\) | −45.4611 | − | 26.2470i | −1.55383 | − | 0.897103i | ||||
\(857\) | − | 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 | \(0.755379\pi\) | |||||||
\(860\) | −2.80033 | + | 6.93023i | −0.0954905 | + | 0.236319i | ||||
\(861\) | −5.80642 | + | 10.0570i | −0.197882 | + | 0.342742i | ||||
\(862\) | −40.9290 | + | 23.6304i | −1.39405 | + | 0.804853i | ||||
\(863\) | −51.5768 | −1.75569 | −0.877847 | − | 0.478942i | \(-0.841020\pi\) | ||||
−0.877847 | + | 0.478942i | \(0.841020\pi\) | |||||||
\(864\) | 14.0352 | − | 8.10324i | 0.477488 | − | 0.275678i | ||||
\(865\) | 0.996547 | + | 1.27563i | 0.0338836 | + | 0.0433728i | ||||
\(866\) | − | 24.5334i | − | 0.833679i | ||||||
\(867\) | 27.6226 | − | 15.9479i | 0.938113 | − | 0.541620i | ||||
\(868\) | −7.38750 | − | 4.26517i | −0.250748 | − | 0.144769i | ||||
\(869\) | −2.64212 | − | 1.52543i | −0.0896277 | − | 0.0517466i | ||||
\(870\) | 30.7052 | − | 4.31402i | 1.04100 | − | 0.146259i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 51.2869i | − | 1.73679i | ||||||
\(873\) | 11.5555 | − | 20.0148i | 0.391096 | − | 0.677398i | ||||
\(874\) | −6.30396 | + | 10.9188i | −0.213235 | + | 0.369333i | ||||
\(875\) | 19.0822 | − | 26.2574i | 0.645095 | − | 0.887662i | ||||
\(876\) | − | 7.08250i | − | 0.239295i | ||||||
\(877\) | 17.0350 | + | 29.5055i | 0.575232 | + | 0.996331i | 0.996016 | + | 0.0891706i | \(0.0284216\pi\) |
−0.420784 | + | 0.907161i | \(0.638245\pi\) | |||||||
\(878\) | 6.61132 | + | 11.4511i | 0.223121 | + | 0.386457i | ||||
\(879\) | − | 10.6035i | − | 0.357646i | ||||||
\(880\) | −0.788636 | − | 1.00949i | −0.0265849 | − | 0.0340301i | ||||
\(881\) | 1.85950 | − | 3.22075i | 0.0626482 | − | 0.108510i | −0.833000 | − | 0.553273i | \(-0.813379\pi\) |
0.895648 | + | 0.444763i | \(0.146712\pi\) | |||||||
\(882\) | 1.11115 | − | 1.92457i | 0.0374144 | − | 0.0648037i | ||||
\(883\) | − | 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 | ||||
\(886\) | −30.1068 | − | 17.3822i | −1.01146 | − | 0.583966i | ||||
\(887\) | 34.9109 | + | 20.1558i | 1.17219 | + | 0.676765i | 0.954195 | − | 0.299184i | \(-0.0967145\pi\) |
0.217996 | + | 0.975950i | \(0.430048\pi\) | |||||||
\(888\) | 7.94258 | − | 4.58565i | 0.266536 | − | 0.153884i | ||||
\(889\) | 6.68244i | 0.224122i | ||||||||
\(890\) | −9.38253 | − | 12.0101i | −0.314503 | − | 0.402580i | ||||
\(891\) | −0.652603 | + | 0.376780i | −0.0218630 | + | 0.0126226i | ||||
\(892\) | −10.3344 | −0.346023 | ||||||||
\(893\) | −2.10326 | + | 1.21432i | −0.0703830 | + | 0.0406357i | ||||
\(894\) | −2.84299 | + | 4.92420i | −0.0950838 | + | 0.164690i | ||||
\(895\) | 8.37886 | + | 3.38569i | 0.280074 | + | 0.113171i | ||||
\(896\) | 14.4429 | 0.482504 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 13.2730i | − | 0.442926i | ||||||
\(899\) | 42.1799 | + | 24.3526i | 1.40678 | + | 0.812205i | ||||
\(900\) | −0.814426 | + | 3.26532i | −0.0271475 | + | 0.108844i | ||||
\(901\) | −20.0415 | − | 34.7129i | −0.667679 | − | 1.15645i | ||||
\(902\) | −0.793993 | −0.0264371 | ||||||||
\(903\) | 12.1082 | + | 20.9720i | 0.402934 | + | 0.697903i | ||||
\(904\) | −3.14504 | + | 1.81579i | −0.104603 | + | 0.0603923i | ||||
\(905\) | −0.728372 | − | 5.18421i | −0.0242119 | − | 0.172329i | ||||
\(906\) | −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 | \(0.470323\pi\) | |||||||
\(908\) | 3.48664 | − | 6.03904i | 0.115708 | − | 0.200412i | ||||
\(909\) | −5.04684 | −0.167393 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.2672 | 0.770876 | 0.385438 | − | 0.922734i | \(-0.374050\pi\) | ||||
0.385438 | + | 0.922734i | \(0.374050\pi\) | |||||||
\(912\) | 3.88025 | − | 6.72078i | 0.128488 | − | 0.222547i | ||||
\(913\) | 1.76798 | + | 1.02074i | 0.0585116 | + | 0.0337817i | ||||
\(914\) | 6.92549 | + | 11.9953i | 0.229075 | + | 0.396769i | ||||
\(915\) | −0.815792 | + | 0.114617i | −0.0269692 | + | 0.00378913i | ||||
\(916\) | −1.10511 | + | 0.638037i | −0.0365139 | + | 0.0210813i | ||||
\(917\) | −19.4795 | − | 33.7395i | −0.643270 | − | 1.11418i | ||||
\(918\) | 43.8163 | 1.44615 | ||||||||
\(919\) | −1.61285 | − | 2.79353i | −0.0532029 | − | 0.0921502i | 0.838197 | − | 0.545367i | \(-0.183610\pi\) |
−0.891400 | + | 0.453217i | \(0.850276\pi\) | |||||||
\(920\) | 12.0460 | − | 29.8114i | 0.397146 | − | 0.982851i | ||||
\(921\) | −15.2532 | − | 8.80642i | −0.502609 | − | 0.290182i | ||||
\(922\) | − | 31.7342i | − | 1.04511i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0.428639 | 0.0141012 | ||||||||
\(925\) | −2.76004 | + | 11.0660i | −0.0907496 | + | 0.363847i | ||||
\(926\) | 4.81018 | − | 8.33147i | 0.158072 | − | 0.273789i | ||||
\(927\) | 3.13093 | − | 1.80764i | 0.102833 | − | 0.0593708i | ||||
\(928\) | 25.1481 | 0.825527 | ||||||||
\(929\) | −34.0748 | + | 19.6731i | −1.11796 | + | 0.645453i | −0.940878 | − | 0.338744i | \(-0.889998\pi\) |
−0.177078 | + | 0.984197i | \(0.556665\pi\) | |||||||
\(930\) | −15.6884 | + | 12.2560i | −0.514442 | + | 0.401892i | ||||
\(931\) | 3.16346i | 0.103678i | ||||||||
\(932\) | 7.36010 | − | 4.24935i | 0.241088 | − | 0.139192i | ||||
\(933\) | −22.9400 | − | 13.2444i | −0.751023 | − | 0.433603i | ||||
\(934\) | 11.4547 | + | 6.61338i | 0.374809 | + | 0.216396i | ||||
\(935\) | 0.428639 | + | 3.05086i | 0.0140180 | + | 0.0997736i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 51.6040i | − | 1.68583i | −0.538048 | − | 0.842914i | \(-0.680838\pi\) | ||
0.538048 | − | 0.842914i | \(-0.319162\pi\) | |||||||
\(938\) | 13.6795 | − | 23.6936i | 0.446652 | − | 0.773624i | ||||
\(939\) | −9.90613 | + | 17.1579i | −0.323274 | + | 0.559927i | ||||
\(940\) | 1.01547 | − | 0.793303i | 0.0331210 | − | 0.0258747i | ||||
\(941\) | − | 37.5081i | − | 1.22273i | −0.791349 | − | 0.611364i | \(-0.790621\pi\) | ||
0.791349 | − | 0.611364i | \(-0.209379\pi\) | |||||||
\(942\) | −4.46812 | − | 7.73901i | −0.145579 | − | 0.252151i | ||||
\(943\) | −7.15257 | − | 12.3886i | −0.232920 | − | 0.403429i | ||||
\(944\) | − | 24.7665i | − | 0.806080i | ||||||
\(945\) | 22.4319 | + | 28.7140i | 0.729709 | + | 0.934066i | ||||
\(946\) | −0.827859 | + | 1.43389i | −0.0269160 | + | 0.0466199i | ||||
\(947\) | 19.0580 | − | 33.0094i | 0.619302 | − | 1.07266i | −0.370312 | − | 0.928908i | \(-0.620749\pi\) |
0.989613 | − | 0.143755i | \(-0.0459176\pi\) | |||||||
\(948\) | 9.80642i | 0.318498i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 3.70471 | + | 12.9240i | 0.120197 | + | 0.419308i | ||||
\(951\) | −25.2990 | − | 14.6064i | −0.820377 | − | 0.473645i | ||||
\(952\) | −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 | \(0.179230\pi\) | |||||||
\(954\) | − | 9.69888i | − | 0.314013i | ||||||
\(955\) | −3.70343 | + | 2.89319i | −0.119840 | + | 0.0936213i | ||||
\(956\) | 5.81365 | − | 3.35651i | 0.188027 | − | 0.108557i | ||||
\(957\) | −2.44738 | −0.0791124 | ||||||||
\(958\) | −9.60331 | + | 5.54448i | −0.310269 | + | 0.179134i | ||||
\(959\) | −27.8020 | + | 48.1544i | −0.897773 | + | 1.55499i | ||||
\(960\) | −9.72305 | + | 24.0625i | −0.313810 | + | 0.776614i | ||||
\(961\) | −0.271628 | −0.00876221 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 21.9275i | 0.706604i | ||||||||
\(964\) | −2.68392 | − | 1.54956i | −0.0864432 | − | 0.0499080i | ||||
\(965\) | −28.0318 | − | 11.3270i | −0.902377 | − | 0.364628i | ||||
\(966\) | −10.8365 | − | 18.7694i | −0.348660 | − | 0.603897i | ||||
\(967\) | −29.0593 | −0.934485 | −0.467242 | − | 0.884129i | \(-0.654752\pi\) | ||||
−0.467242 | + | 0.884129i | \(0.654752\pi\) | |||||||
\(968\) | −16.7963 | − | 29.0920i | −0.539853 | − | 0.935053i | ||||
\(969\) | −16.1632 | + | 9.33185i | −0.519238 | + | 0.299782i | ||||
\(970\) | 6.81579 | + | 48.5116i | 0.218842 | + | 1.55761i | ||||
\(971\) | 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 | ||||
\(973\) | −27.7146 | + | 48.0030i | −0.888488 | + | 1.53891i | ||||
\(974\) | −19.6588 | −0.629908 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.751123 | 0.0240429 | ||||||||
\(977\) | −6.43086 | + | 11.1386i | −0.205742 | + | 0.356355i | −0.950369 | − | 0.311126i | \(-0.899294\pi\) |
0.744627 | + | 0.667481i | \(0.232627\pi\) | |||||||
\(978\) | −5.12777 | − | 2.96052i | −0.163968 | − | 0.0946670i | ||||
\(979\) | 0.601472 | + | 1.04178i | 0.0192231 | + | 0.0332954i | ||||
\(980\) | −0.233532 | − | 1.66217i | −0.00745991 | − | 0.0530961i | ||||
\(981\) | −18.5531 | + | 10.7116i | −0.592355 | + | 0.341996i | ||||
\(982\) | −15.9462 | − | 27.6197i | −0.508865 | − | 0.881379i | ||||
\(983\) | −45.4880 | −1.45084 | −0.725420 | − | 0.688306i | \(-0.758355\pi\) | ||||
−0.725420 | + | 0.688306i | \(0.758355\pi\) | |||||||
\(984\) | 6.13335 | + | 10.6233i | 0.195524 | + | 0.338658i | ||||
\(985\) | −4.14642 | − | 1.67547i | −0.132116 | − | 0.0533848i | ||||
\(986\) | 58.8820 | + | 33.9956i | 1.87519 | + | 1.08264i | ||||
\(987\) | − | 4.17484i | − | 0.132887i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.8306 | −0.948557 | ||||||||
\(990\) | −0.279286 | + | 0.691173i | −0.00887628 | + | 0.0219669i | ||||
\(991\) | −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 | ||||
\(993\) | −10.8243 | −0.343497 | ||||||||
\(994\) | 18.5659 | − | 10.7190i | 0.588873 | − | 0.339986i | ||||
\(995\) | 39.0186 | − | 30.4820i | 1.23697 | − | 0.966346i | ||||
\(996\) | − | 6.56199i | − | 0.207925i | ||||||
\(997\) | 28.4193 | − | 16.4079i | 0.900049 | − | 0.519643i | 0.0228326 | − | 0.999739i | \(-0.492732\pi\) |
0.877216 | + | 0.480096i | \(0.159398\pi\) | |||||||
\(998\) | 31.5811 | + | 18.2334i | 0.999683 | + | 0.577167i | ||||
\(999\) | −11.0876 | − | 6.40144i | −0.350797 | − | 0.202533i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))