Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [30,3,Mod(29,30)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(30, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("30.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 30 = 2 \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 30.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.817440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-17})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 16x^{2} + 81 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Root | \(-0.707107 - 2.91548i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 30.29 |
Dual form | 30.3.b.a.29.3 |
$q$-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 \(\left(\mathbb{Z}/30\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41421 | 0.707107 | ||||||||
\(3\) | −0.707107 | + | 2.91548i | −0.235702 | + | 0.971825i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | −2.82843 | − | 4.12311i | −0.565685 | − | 0.824621i | ||||
\(6\) | −1.00000 | + | 4.12311i | −0.166667 | + | 0.687184i | ||||
\(7\) | − | 5.83095i | − | 0.832993i | −0.909137 | − | 0.416497i | \(-0.863258\pi\) | ||
0.909137 | − | 0.416497i | \(-0.136742\pi\) | |||||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | −8.00000 | − | 4.12311i | −0.888889 | − | 0.458123i | ||||
\(10\) | −4.00000 | − | 5.83095i | −0.400000 | − | 0.583095i | ||||
\(11\) | 16.4924i | 1.49931i | 0.661828 | + | 0.749656i | \(0.269781\pi\) | ||||
−0.661828 | + | 0.749656i | \(0.730219\pi\) | |||||||
\(12\) | −1.41421 | + | 5.83095i | −0.117851 | + | 0.485913i | ||||
\(13\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(14\) | − | 8.24621i | − | 0.589015i | ||||||
\(15\) | 14.0208 | − | 5.33074i | 0.934721 | − | 0.355382i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −11.3137 | −0.665512 | −0.332756 | − | 0.943013i | \(-0.607979\pi\) | ||||
−0.332756 | + | 0.943013i | \(0.607979\pi\) | |||||||
\(18\) | −11.3137 | − | 5.83095i | −0.628539 | − | 0.323942i | ||||
\(19\) | 12.0000 | 0.631579 | 0.315789 | − | 0.948829i | \(-0.397731\pi\) | ||||
0.315789 | + | 0.948829i | \(0.397731\pi\) | |||||||
\(20\) | −5.65685 | − | 8.24621i | −0.282843 | − | 0.412311i | ||||
\(21\) | 17.0000 | + | 4.12311i | 0.809524 | + | 0.196338i | ||||
\(22\) | 23.3238i | 1.06017i | ||||||||
\(23\) | 24.0416 | 1.04529 | 0.522644 | − | 0.852551i | \(-0.324946\pi\) | ||||
0.522644 | + | 0.852551i | \(0.324946\pi\) | |||||||
\(24\) | −2.00000 | + | 8.24621i | −0.0833333 | + | 0.343592i | ||||
\(25\) | −9.00000 | + | 23.3238i | −0.360000 | + | 0.932952i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 17.6777 | − | 20.4083i | 0.654729 | − | 0.755864i | ||||
\(28\) | − | 11.6619i | − | 0.416497i | ||||||
\(29\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(30\) | 19.8284 | − | 7.53880i | 0.660948 | − | 0.251293i | ||||
\(31\) | −32.0000 | −1.03226 | −0.516129 | − | 0.856511i | \(-0.672628\pi\) | ||||
−0.516129 | + | 0.856511i | \(0.672628\pi\) | |||||||
\(32\) | 5.65685 | 0.176777 | ||||||||
\(33\) | −48.0833 | − | 11.6619i | −1.45707 | − | 0.353391i | ||||
\(34\) | −16.0000 | −0.470588 | ||||||||
\(35\) | −24.0416 | + | 16.4924i | −0.686904 | + | 0.471212i | ||||
\(36\) | −16.0000 | − | 8.24621i | −0.444444 | − | 0.229061i | ||||
\(37\) | − | 23.3238i | − | 0.630373i | −0.949030 | − | 0.315187i | \(-0.897933\pi\) | ||
0.949030 | − | 0.315187i | \(-0.102067\pi\) | |||||||
\(38\) | 16.9706 | 0.446594 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −8.00000 | − | 11.6619i | −0.200000 | − | 0.291548i | ||||
\(41\) | − | 57.7235i | − | 1.40789i | −0.710255 | − | 0.703945i | \(-0.751420\pi\) | ||
0.710255 | − | 0.703945i | \(-0.248580\pi\) | |||||||
\(42\) | 24.0416 | + | 5.83095i | 0.572420 | + | 0.138832i | ||||
\(43\) | 40.8167i | 0.949225i | 0.880195 | + | 0.474612i | \(0.157412\pi\) | ||||
−0.880195 | + | 0.474612i | \(0.842588\pi\) | |||||||
\(44\) | 32.9848i | 0.749656i | ||||||||
\(45\) | 5.62742 | + | 44.6467i | 0.125054 | + | 0.992150i | ||||
\(46\) | 34.0000 | 0.739130 | ||||||||
\(47\) | −35.3553 | −0.752241 | −0.376121 | − | 0.926571i | \(-0.622742\pi\) | ||||
−0.376121 | + | 0.926571i | \(0.622742\pi\) | |||||||
\(48\) | −2.82843 | + | 11.6619i | −0.0589256 | + | 0.242956i | ||||
\(49\) | 15.0000 | 0.306122 | ||||||||
\(50\) | −12.7279 | + | 32.9848i | −0.254558 | + | 0.659697i | ||||
\(51\) | 8.00000 | − | 32.9848i | 0.156863 | − | 0.646762i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 67.8823 | 1.28080 | 0.640399 | − | 0.768043i | \(-0.278769\pi\) | ||||
0.640399 | + | 0.768043i | \(0.278769\pi\) | |||||||
\(54\) | 25.0000 | − | 28.8617i | 0.462963 | − | 0.534477i | ||||
\(55\) | 68.0000 | − | 46.6476i | 1.23636 | − | 0.848138i | ||||
\(56\) | − | 16.4924i | − | 0.294508i | ||||||
\(57\) | −8.48528 | + | 34.9857i | −0.148865 | + | 0.613784i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 16.4924i | 0.279533i | 0.990185 | + | 0.139766i | \(0.0446351\pi\) | ||||
−0.990185 | + | 0.139766i | \(0.955365\pi\) | |||||||
\(60\) | 28.0416 | − | 10.6615i | 0.467361 | − | 0.177691i | ||||
\(61\) | −16.0000 | −0.262295 | −0.131148 | − | 0.991363i | \(-0.541866\pi\) | ||||
−0.131148 | + | 0.991363i | \(0.541866\pi\) | |||||||
\(62\) | −45.2548 | −0.729917 | ||||||||
\(63\) | −24.0416 | + | 46.6476i | −0.381613 | + | 0.740438i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −68.0000 | − | 16.4924i | −1.03030 | − | 0.249885i | ||||
\(67\) | 5.83095i | 0.0870291i | 0.999053 | + | 0.0435146i | \(0.0138555\pi\) | ||||
−0.999053 | + | 0.0435146i | \(0.986145\pi\) | |||||||
\(68\) | −22.6274 | −0.332756 | ||||||||
\(69\) | −17.0000 | + | 70.0928i | −0.246377 | + | 1.01584i | ||||
\(70\) | −34.0000 | + | 23.3238i | −0.485714 | + | 0.333197i | ||||
\(71\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(72\) | −22.6274 | − | 11.6619i | −0.314270 | − | 0.161971i | ||||
\(73\) | − | 116.619i | − | 1.59752i | −0.601649 | − | 0.798761i | \(-0.705489\pi\) | ||
0.601649 | − | 0.798761i | \(-0.294511\pi\) | |||||||
\(74\) | − | 32.9848i | − | 0.445741i | ||||||
\(75\) | −61.6360 | − | 42.7317i | −0.821814 | − | 0.569756i | ||||
\(76\) | 24.0000 | 0.315789 | ||||||||
\(77\) | 96.1665 | 1.24892 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −72.0000 | −0.911392 | −0.455696 | − | 0.890135i | \(-0.650610\pi\) | ||||
−0.455696 | + | 0.890135i | \(0.650610\pi\) | |||||||
\(80\) | −11.3137 | − | 16.4924i | −0.141421 | − | 0.206155i | ||||
\(81\) | 47.0000 | + | 65.9697i | 0.580247 | + | 0.814441i | ||||
\(82\) | − | 81.6333i | − | 0.995528i | ||||||
\(83\) | −43.8406 | −0.528200 | −0.264100 | − | 0.964495i | \(-0.585075\pi\) | ||||
−0.264100 | + | 0.964495i | \(0.585075\pi\) | |||||||
\(84\) | 34.0000 | + | 8.24621i | 0.404762 | + | 0.0981692i | ||||
\(85\) | 32.0000 | + | 46.6476i | 0.376471 | + | 0.548795i | ||||
\(86\) | 57.7235i | 0.671203i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 46.6476i | 0.530087i | ||||||||
\(89\) | − | 65.9697i | − | 0.741232i | −0.928786 | − | 0.370616i | \(-0.879147\pi\) | ||
0.928786 | − | 0.370616i | \(-0.120853\pi\) | |||||||
\(90\) | 7.95837 | + | 63.1400i | 0.0884263 | + | 0.701556i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 48.0833 | 0.522644 | ||||||||
\(93\) | 22.6274 | − | 93.2952i | 0.243306 | − | 1.00317i | ||||
\(94\) | −50.0000 | −0.531915 | ||||||||
\(95\) | −33.9411 | − | 49.4773i | −0.357275 | − | 0.520813i | ||||
\(96\) | −4.00000 | + | 16.4924i | −0.0416667 | + | 0.171796i | ||||
\(97\) | 163.267i | 1.68316i | 0.540131 | + | 0.841581i | \(0.318375\pi\) | ||||
−0.540131 | + | 0.841581i | \(0.681625\pi\) | |||||||
\(98\) | 21.2132 | 0.216461 | ||||||||
\(99\) | 68.0000 | − | 131.939i | 0.686869 | − | 1.33272i | ||||
\(100\) | −18.0000 | + | 46.6476i | −0.180000 | + | 0.466476i | ||||
\(101\) | 131.939i | 1.30633i | 0.757215 | + | 0.653165i | \(0.226559\pi\) | ||||
−0.757215 | + | 0.653165i | \(0.773441\pi\) | |||||||
\(102\) | 11.3137 | − | 46.6476i | 0.110919 | − | 0.457330i | ||||
\(103\) | 99.1262i | 0.962390i | 0.876614 | + | 0.481195i | \(0.159797\pi\) | ||||
−0.876614 | + | 0.481195i | \(0.840203\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −31.0833 | − | 81.7547i | −0.296031 | − | 0.778616i | ||||
\(106\) | 96.0000 | 0.905660 | ||||||||
\(107\) | −55.1543 | −0.515461 | −0.257731 | − | 0.966217i | \(-0.582975\pi\) | ||||
−0.257731 | + | 0.966217i | \(0.582975\pi\) | |||||||
\(108\) | 35.3553 | − | 40.8167i | 0.327364 | − | 0.377932i | ||||
\(109\) | 80.0000 | 0.733945 | 0.366972 | − | 0.930232i | \(-0.380394\pi\) | ||||
0.366972 | + | 0.930232i | \(0.380394\pi\) | |||||||
\(110\) | 96.1665 | − | 65.9697i | 0.874241 | − | 0.599724i | ||||
\(111\) | 68.0000 | + | 16.4924i | 0.612613 | + | 0.148580i | ||||
\(112\) | − | 23.3238i | − | 0.208248i | ||||||
\(113\) | −152.735 | −1.35164 | −0.675819 | − | 0.737068i | \(-0.736210\pi\) | ||||
−0.675819 | + | 0.737068i | \(0.736210\pi\) | |||||||
\(114\) | −12.0000 | + | 49.4773i | −0.105263 | + | 0.434011i | ||||
\(115\) | −68.0000 | − | 99.1262i | −0.591304 | − | 0.861967i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 23.3238i | 0.197659i | ||||||||
\(119\) | 65.9697i | 0.554367i | ||||||||
\(120\) | 39.6569 | − | 15.0776i | 0.330474 | − | 0.125647i | ||||
\(121\) | −151.000 | −1.24793 | ||||||||
\(122\) | −22.6274 | −0.185471 | ||||||||
\(123\) | 168.291 | + | 40.8167i | 1.36822 | + | 0.331843i | ||||
\(124\) | −64.0000 | −0.516129 | ||||||||
\(125\) | 121.622 | − | 28.8617i | 0.972979 | − | 0.230894i | ||||
\(126\) | −34.0000 | + | 65.9697i | −0.269841 | + | 0.523569i | ||||
\(127\) | − | 40.8167i | − | 0.321391i | −0.987004 | − | 0.160696i | \(-0.948626\pi\) | ||
0.987004 | − | 0.160696i | \(-0.0513737\pi\) | |||||||
\(128\) | 11.3137 | 0.0883883 | ||||||||
\(129\) | −119.000 | − | 28.8617i | −0.922481 | − | 0.223734i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 49.4773i | 0.377689i | 0.982007 | + | 0.188845i | \(0.0604742\pi\) | ||||
−0.982007 | + | 0.188845i | \(0.939526\pi\) | |||||||
\(132\) | −96.1665 | − | 23.3238i | −0.728534 | − | 0.176696i | ||||
\(133\) | − | 69.9714i | − | 0.526101i | ||||||
\(134\) | 8.24621i | 0.0615389i | ||||||||
\(135\) | −134.146 | − | 15.1634i | −0.993672 | − | 0.112322i | ||||
\(136\) | −32.0000 | −0.235294 | ||||||||
\(137\) | −50.9117 | −0.371618 | −0.185809 | − | 0.982586i | \(-0.559491\pi\) | ||||
−0.185809 | + | 0.982586i | \(0.559491\pi\) | |||||||
\(138\) | −24.0416 | + | 99.1262i | −0.174215 | + | 0.718306i | ||||
\(139\) | 44.0000 | 0.316547 | 0.158273 | − | 0.987395i | \(-0.449407\pi\) | ||||
0.158273 | + | 0.987395i | \(0.449407\pi\) | |||||||
\(140\) | −48.0833 | + | 32.9848i | −0.343452 | + | 0.235606i | ||||
\(141\) | 25.0000 | − | 103.078i | 0.177305 | − | 0.731047i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −32.0000 | − | 16.4924i | −0.222222 | − | 0.114531i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | − | 164.924i | − | 1.12962i | ||||||
\(147\) | −10.6066 | + | 43.7321i | −0.0721538 | + | 0.297498i | ||||
\(148\) | − | 46.6476i | − | 0.315187i | ||||||
\(149\) | − | 8.24621i | − | 0.0553437i | −0.999617 | − | 0.0276718i | \(-0.991191\pi\) | ||
0.999617 | − | 0.0276718i | \(-0.00880935\pi\) | |||||||
\(150\) | −87.1665 | − | 60.4318i | −0.581110 | − | 0.402878i | ||||
\(151\) | 136.000 | 0.900662 | 0.450331 | − | 0.892862i | \(-0.351306\pi\) | ||||
0.450331 | + | 0.892862i | \(0.351306\pi\) | |||||||
\(152\) | 33.9411 | 0.223297 | ||||||||
\(153\) | 90.5097 | + | 46.6476i | 0.591566 | + | 0.304886i | ||||
\(154\) | 136.000 | 0.883117 | ||||||||
\(155\) | 90.5097 | + | 131.939i | 0.583933 | + | 0.851222i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 116.619i | − | 0.742796i | −0.928474 | − | 0.371398i | \(-0.878878\pi\) | ||
0.928474 | − | 0.371398i | \(-0.121122\pi\) | |||||||
\(158\) | −101.823 | −0.644452 | ||||||||
\(159\) | −48.0000 | + | 197.909i | −0.301887 | + | 1.24471i | ||||
\(160\) | −16.0000 | − | 23.3238i | −0.100000 | − | 0.145774i | ||||
\(161\) | − | 140.186i | − | 0.870718i | ||||||
\(162\) | 66.4680 | + | 93.2952i | 0.410297 | + | 0.575896i | ||||
\(163\) | 99.1262i | 0.608136i | 0.952650 | + | 0.304068i | \(0.0983450\pi\) | ||||
−0.952650 | + | 0.304068i | \(0.901655\pi\) | |||||||
\(164\) | − | 115.447i | − | 0.703945i | ||||||
\(165\) | 87.9167 | + | 231.237i | 0.532829 | + | 1.40144i | ||||
\(166\) | −62.0000 | −0.373494 | ||||||||
\(167\) | 292.742 | 1.75295 | 0.876474 | − | 0.481450i | \(-0.159890\pi\) | ||||
0.876474 | + | 0.481450i | \(0.159890\pi\) | |||||||
\(168\) | 48.0833 | + | 11.6619i | 0.286210 | + | 0.0694161i | ||||
\(169\) | 169.000 | 1.00000 | ||||||||
\(170\) | 45.2548 | + | 65.9697i | 0.266205 | + | 0.388057i | ||||
\(171\) | −96.0000 | − | 49.4773i | −0.561404 | − | 0.289341i | ||||
\(172\) | 81.6333i | 0.474612i | ||||||||
\(173\) | −164.049 | −0.948259 | −0.474129 | − | 0.880455i | \(-0.657237\pi\) | ||||
−0.474129 | + | 0.880455i | \(0.657237\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 136.000 | + | 52.4786i | 0.777143 | + | 0.299878i | ||||
\(176\) | 65.9697i | 0.374828i | ||||||||
\(177\) | −48.0833 | − | 11.6619i | −0.271657 | − | 0.0658865i | ||||
\(178\) | − | 93.2952i | − | 0.524131i | ||||||
\(179\) | 16.4924i | 0.0921364i | 0.998938 | + | 0.0460682i | \(0.0146692\pi\) | ||||
−0.998938 | + | 0.0460682i | \(0.985331\pi\) | |||||||
\(180\) | 11.2548 | + | 89.2935i | 0.0625269 | + | 0.496075i | ||||
\(181\) | −82.0000 | −0.453039 | −0.226519 | − | 0.974007i | \(-0.572735\pi\) | ||||
−0.226519 | + | 0.974007i | \(0.572735\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.3137 | − | 46.6476i | 0.0618235 | − | 0.254905i | ||||
\(184\) | 68.0000 | 0.369565 | ||||||||
\(185\) | −96.1665 | + | 65.9697i | −0.519819 | + | 0.356593i | ||||
\(186\) | 32.0000 | − | 131.939i | 0.172043 | − | 0.709352i | ||||
\(187\) | − | 186.590i | − | 0.997810i | ||||||
\(188\) | −70.7107 | −0.376121 | ||||||||
\(189\) | −119.000 | − | 103.078i | −0.629630 | − | 0.545384i | ||||
\(190\) | −48.0000 | − | 69.9714i | −0.252632 | − | 0.368271i | ||||
\(191\) | − | 296.864i | − | 1.55426i | −0.629340 | − | 0.777130i | \(-0.716675\pi\) | ||
0.629340 | − | 0.777130i | \(-0.283325\pi\) | |||||||
\(192\) | −5.65685 | + | 23.3238i | −0.0294628 | + | 0.121478i | ||||
\(193\) | − | 116.619i | − | 0.604244i | −0.953269 | − | 0.302122i | \(-0.902305\pi\) | ||
0.953269 | − | 0.302122i | \(-0.0976950\pi\) | |||||||
\(194\) | 230.894i | 1.19017i | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 30.0000 | 0.153061 | ||||||||
\(197\) | −192.333 | −0.976310 | −0.488155 | − | 0.872757i | \(-0.662330\pi\) | ||||
−0.488155 | + | 0.872757i | \(0.662330\pi\) | |||||||
\(198\) | 96.1665 | − | 186.590i | 0.485690 | − | 0.942376i | ||||
\(199\) | −312.000 | −1.56784 | −0.783920 | − | 0.620862i | \(-0.786783\pi\) | ||||
−0.783920 | + | 0.620862i | \(0.786783\pi\) | |||||||
\(200\) | −25.4558 | + | 65.9697i | −0.127279 | + | 0.329848i | ||||
\(201\) | −17.0000 | − | 4.12311i | −0.0845771 | − | 0.0205130i | ||||
\(202\) | 186.590i | 0.923715i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 16.0000 | − | 65.9697i | 0.0784314 | − | 0.323381i | ||||
\(205\) | −238.000 | + | 163.267i | −1.16098 | + | 0.796423i | ||||
\(206\) | 140.186i | 0.680513i | ||||||||
\(207\) | −192.333 | − | 99.1262i | −0.929145 | − | 0.478870i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 197.909i | 0.946933i | ||||||||
\(210\) | −43.9584 | − | 115.619i | −0.209326 | − | 0.550565i | ||||
\(211\) | −12.0000 | −0.0568720 | −0.0284360 | − | 0.999596i | \(-0.509053\pi\) | ||||
−0.0284360 | + | 0.999596i | \(0.509053\pi\) | |||||||
\(212\) | 135.765 | 0.640399 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −78.0000 | −0.364486 | ||||||||
\(215\) | 168.291 | − | 115.447i | 0.782751 | − | 0.536963i | ||||
\(216\) | 50.0000 | − | 57.7235i | 0.231481 | − | 0.267238i | ||||
\(217\) | 186.590i | 0.859864i | ||||||||
\(218\) | 113.137 | 0.518977 | ||||||||
\(219\) | 340.000 | + | 82.4621i | 1.55251 | + | 0.376539i | ||||
\(220\) | 136.000 | − | 93.2952i | 0.618182 | − | 0.424069i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 96.1665 | + | 23.3238i | 0.433183 | + | 0.105062i | ||||
\(223\) | 40.8167i | 0.183034i | 0.995803 | + | 0.0915172i | \(0.0291716\pi\) | ||||
−0.995803 | + | 0.0915172i | \(0.970828\pi\) | |||||||
\(224\) | − | 32.9848i | − | 0.147254i | ||||||
\(225\) | 168.167 | − | 149.483i | 0.747407 | − | 0.664367i | ||||
\(226\) | −216.000 | −0.955752 | ||||||||
\(227\) | −159.806 | −0.703992 | −0.351996 | − | 0.936002i | \(-0.614497\pi\) | ||||
−0.351996 | + | 0.936002i | \(0.614497\pi\) | |||||||
\(228\) | −16.9706 | + | 69.9714i | −0.0744323 | + | 0.306892i | ||||
\(229\) | 82.0000 | 0.358079 | 0.179039 | − | 0.983842i | \(-0.442701\pi\) | ||||
0.179039 | + | 0.983842i | \(0.442701\pi\) | |||||||
\(230\) | −96.1665 | − | 140.186i | −0.418115 | − | 0.609503i | ||||
\(231\) | −68.0000 | + | 280.371i | −0.294372 | + | 1.21373i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 192.333 | 0.825464 | 0.412732 | − | 0.910853i | \(-0.364575\pi\) | ||||
0.412732 | + | 0.910853i | \(0.364575\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 100.000 | + | 145.774i | 0.425532 | + | 0.620314i | ||||
\(236\) | 32.9848i | 0.139766i | ||||||||
\(237\) | 50.9117 | − | 209.914i | 0.214817 | − | 0.885714i | ||||
\(238\) | 93.2952i | 0.391997i | ||||||||
\(239\) | − | 461.788i | − | 1.93217i | −0.258231 | − | 0.966083i | \(-0.583139\pi\) | ||
0.258231 | − | 0.966083i | \(-0.416861\pi\) | |||||||
\(240\) | 56.0833 | − | 21.3229i | 0.233680 | − | 0.0888456i | ||||
\(241\) | 304.000 | 1.26141 | 0.630705 | − | 0.776022i | \(-0.282766\pi\) | ||||
0.630705 | + | 0.776022i | \(0.282766\pi\) | |||||||
\(242\) | −213.546 | −0.882423 | ||||||||
\(243\) | −225.567 | + | 90.3798i | −0.928260 | + | 0.371933i | ||||
\(244\) | −32.0000 | −0.131148 | ||||||||
\(245\) | −42.4264 | − | 61.8466i | −0.173169 | − | 0.252435i | ||||
\(246\) | 238.000 | + | 57.7235i | 0.967480 | + | 0.234648i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −90.5097 | −0.364958 | ||||||||
\(249\) | 31.0000 | − | 127.816i | 0.124498 | − | 0.513318i | ||||
\(250\) | 172.000 | − | 40.8167i | 0.688000 | − | 0.163267i | ||||
\(251\) | 346.341i | 1.37984i | 0.723884 | + | 0.689922i | \(0.242355\pi\) | ||||
−0.723884 | + | 0.689922i | \(0.757645\pi\) | |||||||
\(252\) | −48.0833 | + | 93.2952i | −0.190807 | + | 0.370219i | ||||
\(253\) | 396.505i | 1.56721i | ||||||||
\(254\) | − | 57.7235i | − | 0.227258i | ||||||
\(255\) | −158.627 | + | 60.3104i | −0.622068 | + | 0.236511i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 390.323 | 1.51877 | 0.759383 | − | 0.650644i | \(-0.225501\pi\) | ||||
0.759383 | + | 0.650644i | \(0.225501\pi\) | |||||||
\(258\) | −168.291 | − | 40.8167i | −0.652292 | − | 0.158204i | ||||
\(259\) | −136.000 | −0.525097 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 69.9714i | 0.267066i | ||||||||
\(263\) | 295.571 | 1.12384 | 0.561921 | − | 0.827191i | \(-0.310062\pi\) | ||||
0.561921 | + | 0.827191i | \(0.310062\pi\) | |||||||
\(264\) | −136.000 | − | 32.9848i | −0.515152 | − | 0.124943i | ||||
\(265\) | −192.000 | − | 279.886i | −0.724528 | − | 1.05617i | ||||
\(266\) | − | 98.9545i | − | 0.372010i | ||||||
\(267\) | 192.333 | + | 46.6476i | 0.720348 | + | 0.174710i | ||||
\(268\) | 11.6619i | 0.0435146i | ||||||||
\(269\) | 74.2159i | 0.275896i | 0.990440 | + | 0.137948i | \(0.0440506\pi\) | ||||
−0.990440 | + | 0.137948i | \(0.955949\pi\) | |||||||
\(270\) | −189.711 | − | 21.4443i | −0.702632 | − | 0.0794234i | ||||
\(271\) | 40.0000 | 0.147601 | 0.0738007 | − | 0.997273i | \(-0.476487\pi\) | ||||
0.0738007 | + | 0.997273i | \(0.476487\pi\) | |||||||
\(272\) | −45.2548 | −0.166378 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −72.0000 | −0.262774 | ||||||||
\(275\) | −384.666 | − | 148.432i | −1.39879 | − | 0.539752i | ||||
\(276\) | −34.0000 | + | 140.186i | −0.123188 | + | 0.507919i | ||||
\(277\) | − | 443.152i | − | 1.59983i | −0.600115 | − | 0.799914i | \(-0.704878\pi\) | ||
0.600115 | − | 0.799914i | \(-0.295122\pi\) | |||||||
\(278\) | 62.2254 | 0.223832 | ||||||||
\(279\) | 256.000 | + | 131.939i | 0.917563 | + | 0.472901i | ||||
\(280\) | −68.0000 | + | 46.6476i | −0.242857 | + | 0.166599i | ||||
\(281\) | 519.511i | 1.84879i | 0.381431 | + | 0.924397i | \(0.375431\pi\) | ||||
−0.381431 | + | 0.924397i | \(0.624569\pi\) | |||||||
\(282\) | 35.3553 | − | 145.774i | 0.125374 | − | 0.516928i | ||||
\(283\) | − | 320.702i | − | 1.13322i | −0.823985 | − | 0.566612i | \(-0.808254\pi\) | ||
0.823985 | − | 0.566612i | \(-0.191746\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 168.250 | − | 63.9688i | 0.590350 | − | 0.224452i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −336.583 | −1.17276 | ||||||||
\(288\) | −45.2548 | − | 23.3238i | −0.157135 | − | 0.0809854i | ||||
\(289\) | −161.000 | −0.557093 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −476.000 | − | 115.447i | −1.63574 | − | 0.396725i | ||||
\(292\) | − | 233.238i | − | 0.798761i | ||||||
\(293\) | 84.8528 | 0.289600 | 0.144800 | − | 0.989461i | \(-0.453746\pi\) | ||||
0.144800 | + | 0.989461i | \(0.453746\pi\) | |||||||
\(294\) | −15.0000 | + | 61.8466i | −0.0510204 | + | 0.210363i | ||||
\(295\) | 68.0000 | − | 46.6476i | 0.230508 | − | 0.158128i | ||||
\(296\) | − | 65.9697i | − | 0.222871i | ||||||
\(297\) | 336.583 | + | 291.548i | 1.13328 | + | 0.981642i | ||||
\(298\) | − | 11.6619i | − | 0.0391339i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −123.272 | − | 85.4634i | −0.410907 | − | 0.284878i | ||||
\(301\) | 238.000 | 0.790698 | ||||||||
\(302\) | 192.333 | 0.636864 | ||||||||
\(303\) | −384.666 | − | 93.2952i | −1.26953 | − | 0.307905i | ||||
\(304\) | 48.0000 | 0.157895 | ||||||||
\(305\) | 45.2548 | + | 65.9697i | 0.148377 | + | 0.216294i | ||||
\(306\) | 128.000 | + | 65.9697i | 0.418301 | + | 0.215587i | ||||
\(307\) | 367.350i | 1.19658i | 0.801280 | + | 0.598290i | \(0.204153\pi\) | ||||
−0.801280 | + | 0.598290i | \(0.795847\pi\) | |||||||
\(308\) | 192.333 | 0.624458 | ||||||||
\(309\) | −289.000 | − | 70.0928i | −0.935275 | − | 0.226838i | ||||
\(310\) | 128.000 | + | 186.590i | 0.412903 | + | 0.601905i | ||||
\(311\) | − | 98.9545i | − | 0.318182i | −0.987264 | − | 0.159091i | \(-0.949144\pi\) | ||
0.987264 | − | 0.159091i | \(-0.0508563\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 186.590i | − | 0.596136i | −0.954545 | − | 0.298068i | \(-0.903658\pi\) | ||
0.954545 | − | 0.298068i | \(-0.0963422\pi\) | |||||||
\(314\) | − | 164.924i | − | 0.525236i | ||||||
\(315\) | 260.333 | − | 32.8132i | 0.826454 | − | 0.104169i | ||||
\(316\) | −144.000 | −0.455696 | ||||||||
\(317\) | −520.431 | −1.64174 | −0.820868 | − | 0.571117i | \(-0.806510\pi\) | ||||
−0.820868 | + | 0.571117i | \(0.806510\pi\) | |||||||
\(318\) | −67.8823 | + | 279.886i | −0.213466 | + | 0.880144i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −22.6274 | − | 32.9848i | −0.0707107 | − | 0.103078i | ||||
\(321\) | 39.0000 | − | 160.801i | 0.121495 | − | 0.500938i | ||||
\(322\) | − | 198.252i | − | 0.615691i | ||||||
\(323\) | −135.765 | −0.420324 | ||||||||
\(324\) | 94.0000 | + | 131.939i | 0.290123 | + | 0.407220i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 140.186i | 0.430017i | ||||||||
\(327\) | −56.5685 | + | 233.238i | −0.172992 | + | 0.713266i | ||||
\(328\) | − | 163.267i | − | 0.497764i | ||||||
\(329\) | 206.155i | 0.626612i | ||||||||
\(330\) | 124.333 | + | 327.019i | 0.376767 | + | 0.990966i | ||||
\(331\) | 292.000 | 0.882175 | 0.441088 | − | 0.897464i | \(-0.354593\pi\) | ||||
0.441088 | + | 0.897464i | \(0.354593\pi\) | |||||||
\(332\) | −87.6812 | −0.264100 | ||||||||
\(333\) | −96.1665 | + | 186.590i | −0.288788 | + | 0.560332i | ||||
\(334\) | 414.000 | 1.23952 | ||||||||
\(335\) | 24.0416 | − | 16.4924i | 0.0717661 | − | 0.0492311i | ||||
\(336\) | 68.0000 | + | 16.4924i | 0.202381 | + | 0.0490846i | ||||
\(337\) | 326.533i | 0.968942i | 0.874807 | + | 0.484471i | \(0.160988\pi\) | ||||
−0.874807 | + | 0.484471i | \(0.839012\pi\) | |||||||
\(338\) | 239.002 | 0.707107 | ||||||||
\(339\) | 108.000 | − | 445.295i | 0.318584 | − | 1.31356i | ||||
\(340\) | 64.0000 | + | 93.2952i | 0.188235 | + | 0.274398i | ||||
\(341\) | − | 527.758i | − | 1.54768i | ||||||
\(342\) | −135.765 | − | 69.9714i | −0.396972 | − | 0.204595i | ||||
\(343\) | − | 373.181i | − | 1.08799i | ||||||
\(344\) | 115.447i | 0.335602i | ||||||||
\(345\) | 337.083 | − | 128.160i | 0.977053 | − | 0.371477i | ||||
\(346\) | −232.000 | −0.670520 | ||||||||
\(347\) | 394.566 | 1.13708 | 0.568538 | − | 0.822657i | \(-0.307509\pi\) | ||||
0.568538 | + | 0.822657i | \(0.307509\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 254.000 | 0.727794 | 0.363897 | − | 0.931439i | \(-0.381446\pi\) | ||||
0.363897 | + | 0.931439i | \(0.381446\pi\) | |||||||
\(350\) | 192.333 | + | 74.2159i | 0.549523 | + | 0.212045i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 93.2952i | 0.265043i | ||||||||
\(353\) | 345.068 | 0.977530 | 0.488765 | − | 0.872415i | \(-0.337448\pi\) | ||||
0.488765 | + | 0.872415i | \(0.337448\pi\) | |||||||
\(354\) | −68.0000 | − | 16.4924i | −0.192090 | − | 0.0465888i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 131.939i | − | 0.370616i | ||||||
\(357\) | −192.333 | − | 46.6476i | −0.538748 | − | 0.130666i | ||||
\(358\) | 23.3238i | 0.0651503i | ||||||||
\(359\) | 395.818i | 1.10256i | 0.834321 | + | 0.551279i | \(0.185860\pi\) | ||||
−0.834321 | + | 0.551279i | \(0.814140\pi\) | |||||||
\(360\) | 15.9167 | + | 126.280i | 0.0442132 | + | 0.350778i | ||||
\(361\) | −217.000 | −0.601108 | ||||||||
\(362\) | −115.966 | −0.320347 | ||||||||
\(363\) | 106.773 | − | 440.237i | 0.294141 | − | 1.21277i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −480.833 | + | 329.848i | −1.31735 | + | 0.903694i | ||||
\(366\) | 16.0000 | − | 65.9697i | 0.0437158 | − | 0.180245i | ||||
\(367\) | 413.998i | 1.12806i | 0.825755 | + | 0.564029i | \(0.190750\pi\) | ||||
−0.825755 | + | 0.564029i | \(0.809250\pi\) | |||||||
\(368\) | 96.1665 | 0.261322 | ||||||||
\(369\) | −238.000 | + | 461.788i | −0.644986 | + | 1.25146i | ||||
\(370\) | −136.000 | + | 93.2952i | −0.367568 | + | 0.252149i | ||||
\(371\) | − | 395.818i | − | 1.06690i | ||||||
\(372\) | 45.2548 | − | 186.590i | 0.121653 | − | 0.501587i | ||||
\(373\) | 629.743i | 1.68832i | 0.536092 | + | 0.844159i | \(0.319900\pi\) | ||||
−0.536092 | + | 0.844159i | \(0.680100\pi\) | |||||||
\(374\) | − | 263.879i | − | 0.705558i | ||||||
\(375\) | −1.85429 | + | 374.995i | −0.00494478 | + | 0.999988i | ||||
\(376\) | −100.000 | −0.265957 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −168.291 | − | 145.774i | −0.445215 | − | 0.385645i | ||||
\(379\) | −572.000 | −1.50923 | −0.754617 | − | 0.656165i | \(-0.772178\pi\) | ||||
−0.754617 | + | 0.656165i | \(0.772178\pi\) | |||||||
\(380\) | −67.8823 | − | 98.9545i | −0.178638 | − | 0.260407i | ||||
\(381\) | 119.000 | + | 28.8617i | 0.312336 | + | 0.0757526i | ||||
\(382\) | − | 419.829i | − | 1.09903i | ||||||
\(383\) | −193.747 | −0.505868 | −0.252934 | − | 0.967484i | \(-0.581395\pi\) | ||||
−0.252934 | + | 0.967484i | \(0.581395\pi\) | |||||||
\(384\) | −8.00000 | + | 32.9848i | −0.0208333 | + | 0.0858980i | ||||
\(385\) | −272.000 | − | 396.505i | −0.706494 | − | 1.02988i | ||||
\(386\) | − | 164.924i | − | 0.427265i | ||||||
\(387\) | 168.291 | − | 326.533i | 0.434862 | − | 0.843755i | ||||
\(388\) | 326.533i | 0.841581i | ||||||||
\(389\) | − | 387.572i | − | 0.996329i | −0.867083 | − | 0.498164i | \(-0.834008\pi\) | ||
0.867083 | − | 0.498164i | \(-0.165992\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −272.000 | −0.695652 | ||||||||
\(392\) | 42.4264 | 0.108231 | ||||||||
\(393\) | −144.250 | − | 34.9857i | −0.367048 | − | 0.0890222i | ||||
\(394\) | −272.000 | −0.690355 | ||||||||
\(395\) | 203.647 | + | 296.864i | 0.515561 | + | 0.751553i | ||||
\(396\) | 136.000 | − | 263.879i | 0.343434 | − | 0.666361i | ||||
\(397\) | − | 513.124i | − | 1.29250i | −0.763124 | − | 0.646252i | \(-0.776336\pi\) | ||
0.763124 | − | 0.646252i | \(-0.223664\pi\) | |||||||
\(398\) | −441.235 | −1.10863 | ||||||||
\(399\) | 204.000 | + | 49.4773i | 0.511278 | + | 0.124003i | ||||
\(400\) | −36.0000 | + | 93.2952i | −0.0900000 | + | 0.233238i | ||||
\(401\) | − | 65.9697i | − | 0.164513i | −0.996611 | − | 0.0822565i | \(-0.973787\pi\) | ||
0.996611 | − | 0.0822565i | \(-0.0262127\pi\) | |||||||
\(402\) | −24.0416 | − | 5.83095i | −0.0598051 | − | 0.0145049i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 263.879i | 0.653165i | ||||||||
\(405\) | 139.064 | − | 380.376i | 0.343368 | − | 0.939201i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 384.666 | 0.945126 | ||||||||
\(408\) | 22.6274 | − | 93.2952i | 0.0554594 | − | 0.228665i | ||||
\(409\) | 640.000 | 1.56479 | 0.782396 | − | 0.622781i | \(-0.213997\pi\) | ||||
0.782396 | + | 0.622781i | \(0.213997\pi\) | |||||||
\(410\) | −336.583 | + | 230.894i | −0.820934 | + | 0.563156i | ||||
\(411\) | 36.0000 | − | 148.432i | 0.0875912 | − | 0.361148i | ||||
\(412\) | 198.252i | 0.481195i | ||||||||
\(413\) | 96.1665 | 0.232849 | ||||||||
\(414\) | −272.000 | − | 140.186i | −0.657005 | − | 0.338613i | ||||
\(415\) | 124.000 | + | 180.760i | 0.298795 | + | 0.435565i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −31.1127 | + | 128.281i | −0.0746108 | + | 0.307628i | ||||
\(418\) | 279.886i | 0.669583i | ||||||||
\(419\) | 577.235i | 1.37765i | 0.724928 | + | 0.688824i | \(0.241873\pi\) | ||||
−0.724928 | + | 0.688824i | \(0.758127\pi\) | |||||||
\(420\) | −62.1665 | − | 163.509i | −0.148016 | − | 0.389308i | ||||
\(421\) | −656.000 | −1.55819 | −0.779097 | − | 0.626903i | \(-0.784322\pi\) | ||||
−0.779097 | + | 0.626903i | \(0.784322\pi\) | |||||||
\(422\) | −16.9706 | −0.0402146 | ||||||||
\(423\) | 282.843 | + | 145.774i | 0.668659 | + | 0.344619i | ||||
\(424\) | 192.000 | 0.452830 | ||||||||
\(425\) | 101.823 | − | 263.879i | 0.239584 | − | 0.620891i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 93.2952i | 0.218490i | ||||||||
\(428\) | −110.309 | −0.257731 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 238.000 | − | 163.267i | 0.553488 | − | 0.379690i | ||||
\(431\) | 362.833i | 0.841841i | 0.907098 | + | 0.420920i | \(0.138293\pi\) | ||||
−0.907098 | + | 0.420920i | \(0.861707\pi\) | |||||||
\(432\) | 70.7107 | − | 81.6333i | 0.163682 | − | 0.188966i | ||||
\(433\) | 163.267i | 0.377059i | 0.982068 | + | 0.188530i | \(0.0603722\pi\) | ||||
−0.982068 | + | 0.188530i | \(0.939628\pi\) | |||||||
\(434\) | 263.879i | 0.608016i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 160.000 | 0.366972 | ||||||||
\(437\) | 288.500 | 0.660182 | ||||||||
\(438\) | 480.833 | + | 116.619i | 1.09779 | + | 0.266254i | ||||
\(439\) | 432.000 | 0.984055 | 0.492027 | − | 0.870580i | \(-0.336256\pi\) | ||||
0.492027 | + | 0.870580i | \(0.336256\pi\) | |||||||
\(440\) | 192.333 | − | 131.939i | 0.437121 | − | 0.299862i | ||||
\(441\) | −120.000 | − | 61.8466i | −0.272109 | − | 0.140242i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 123.037 | 0.277735 | 0.138867 | − | 0.990311i | \(-0.455654\pi\) | ||||
0.138867 | + | 0.990311i | \(0.455654\pi\) | |||||||
\(444\) | 136.000 | + | 32.9848i | 0.306306 | + | 0.0742902i | ||||
\(445\) | −272.000 | + | 186.590i | −0.611236 | + | 0.419304i | ||||
\(446\) | 57.7235i | 0.129425i | ||||||||
\(447\) | 24.0416 | + | 5.83095i | 0.0537844 | + | 0.0130446i | ||||
\(448\) | − | 46.6476i | − | 0.104124i | ||||||
\(449\) | − | 865.852i | − | 1.92840i | −0.265174 | − | 0.964201i | \(-0.585429\pi\) | ||
0.265174 | − | 0.964201i | \(-0.414571\pi\) | |||||||
\(450\) | 237.823 | − | 211.400i | 0.528496 | − | 0.469778i | ||||
\(451\) | 952.000 | 2.11086 | ||||||||
\(452\) | −305.470 | −0.675819 | ||||||||
\(453\) | −96.1665 | + | 396.505i | −0.212288 | + | 0.875286i | ||||
\(454\) | −226.000 | −0.497797 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −24.0000 | + | 98.9545i | −0.0526316 | + | 0.217006i | ||||
\(457\) | 466.476i | 1.02074i | 0.859956 | + | 0.510368i | \(0.170491\pi\) | ||||
−0.859956 | + | 0.510368i | \(0.829509\pi\) | |||||||
\(458\) | 115.966 | 0.253200 | ||||||||
\(459\) | −200.000 | + | 230.894i | −0.435730 | + | 0.503037i | ||||
\(460\) | −136.000 | − | 198.252i | −0.295652 | − | 0.430983i | ||||
\(461\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(462\) | −96.1665 | + | 396.505i | −0.208153 | + | 0.858235i | ||||
\(463\) | − | 612.250i | − | 1.32235i | −0.750230 | − | 0.661177i | \(-0.770057\pi\) | ||
0.750230 | − | 0.661177i | \(-0.229943\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −448.666 | + | 170.584i | −0.964873 | + | 0.366846i | ||||
\(466\) | 272.000 | 0.583691 | ||||||||
\(467\) | −767.918 | −1.64436 | −0.822182 | − | 0.569225i | \(-0.807243\pi\) | ||||
−0.822182 | + | 0.569225i | \(0.807243\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.0000 | 0.0724947 | ||||||||
\(470\) | 141.421 | + | 206.155i | 0.300897 | + | 0.438628i | ||||
\(471\) | 340.000 | + | 82.4621i | 0.721868 | + | 0.175079i | ||||
\(472\) | 46.6476i | 0.0988297i | ||||||||
\(473\) | −673.166 | −1.42318 | ||||||||
\(474\) | 72.0000 | − | 296.864i | 0.151899 | − | 0.626295i | ||||
\(475\) | −108.000 | + | 279.886i | −0.227368 | + | 0.589233i | ||||
\(476\) | 131.939i | 0.277184i | ||||||||
\(477\) | −543.058 | − | 279.886i | −1.13849 | − | 0.586762i | ||||
\(478\) | − | 653.067i | − | 1.36625i | ||||||
\(479\) | − | 560.742i | − | 1.17065i | −0.810798 | − | 0.585326i | \(-0.800967\pi\) | ||
0.810798 | − | 0.585326i | \(-0.199033\pi\) | |||||||
\(480\) | 79.3137 | − | 30.1552i | 0.165237 | − | 0.0628233i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 429.921 | 0.891952 | ||||||||
\(483\) | 408.708 | + | 99.1262i | 0.846186 | + | 0.205230i | ||||
\(484\) | −302.000 | −0.623967 | ||||||||
\(485\) | 673.166 | − | 461.788i | 1.38797 | − | 0.952140i | ||||
\(486\) | −319.000 | + | 127.816i | −0.656379 | + | 0.262996i | ||||
\(487\) | − | 647.236i | − | 1.32903i | −0.747277 | − | 0.664513i | \(-0.768639\pi\) | ||
0.747277 | − | 0.664513i | \(-0.231361\pi\) | |||||||
\(488\) | −45.2548 | −0.0927353 | ||||||||
\(489\) | −289.000 | − | 70.0928i | −0.591002 | − | 0.143339i | ||||
\(490\) | −60.0000 | − | 87.4643i | −0.122449 | − | 0.178499i | ||||
\(491\) | 346.341i | 0.705379i | 0.935740 | + | 0.352689i | \(0.114733\pi\) | ||||
−0.935740 | + | 0.352689i | \(0.885267\pi\) | |||||||
\(492\) | 336.583 | + | 81.6333i | 0.684111 | + | 0.165921i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −736.333 | + | 92.8097i | −1.48754 | + | 0.187494i | ||||
\(496\) | −128.000 | −0.258065 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 43.8406 | − | 180.760i | 0.0880334 | − | 0.362971i | ||||
\(499\) | −660.000 | −1.32265 | −0.661323 | − | 0.750102i | \(-0.730005\pi\) | ||||
−0.661323 | + | 0.750102i | \(0.730005\pi\) | |||||||
\(500\) | 243.245 | − | 57.7235i | 0.486489 | − | 0.115447i | ||||
\(501\) | −207.000 | + | 853.483i | −0.413174 | + | 1.70356i | ||||
\(502\) | 489.800i | 0.975697i | ||||||||
\(503\) | −182.434 | −0.362691 | −0.181345 | − | 0.983419i | \(-0.558045\pi\) | ||||
−0.181345 | + | 0.983419i | \(0.558045\pi\) | |||||||
\(504\) | −68.0000 | + | 131.939i | −0.134921 | + | 0.261784i | ||||
\(505\) | 544.000 | − | 373.181i | 1.07723 | − | 0.738972i | ||||
\(506\) | 560.742i | 1.10819i | ||||||||
\(507\) | −119.501 | + | 492.715i | −0.235702 | + | 0.971825i | ||||
\(508\) | − | 81.6333i | − | 0.160696i | ||||||
\(509\) | 395.818i | 0.777639i | 0.921314 | + | 0.388819i | \(0.127117\pi\) | ||||
−0.921314 | + | 0.388819i | \(0.872883\pi\) | |||||||
\(510\) | −224.333 | + | 85.2918i | −0.439869 | + | 0.167239i | ||||
\(511\) | −680.000 | −1.33072 | ||||||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | 212.132 | − | 244.900i | 0.413513 | − | 0.477388i | ||||
\(514\) | 552.000 | 1.07393 | ||||||||
\(515\) | 408.708 | − | 280.371i | 0.793607 | − | 0.544410i | ||||
\(516\) | −238.000 | − | 57.7235i | −0.461240 | − | 0.111867i | ||||
\(517\) | − | 583.095i | − | 1.12784i | ||||||
\(518\) | −192.333 | −0.371299 | ||||||||
\(519\) | 116.000 | − | 478.280i | 0.223507 | − | 0.921542i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 131.939i | 0.253243i | 0.991951 | + | 0.126621i | \(0.0404133\pi\) | ||||
−0.991951 | + | 0.126621i | \(0.959587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 145.774i | − | 0.278726i | −0.990241 | − | 0.139363i | \(-0.955494\pi\) | ||
0.990241 | − | 0.139363i | \(-0.0445055\pi\) | |||||||
\(524\) | 98.9545i | 0.188845i | ||||||||
\(525\) | −249.167 | + | 359.397i | −0.474603 | + | 0.684565i | ||||
\(526\) | 418.000 | 0.794677 | ||||||||
\(527\) | 362.039 | 0.686980 | ||||||||
\(528\) | −192.333 | − | 46.6476i | −0.364267 | − | 0.0883478i | ||||
\(529\) | 49.0000 | 0.0926276 | ||||||||
\(530\) | −271.529 | − | 395.818i | −0.512319 | − | 0.746827i | ||||
\(531\) | 68.0000 | − | 131.939i | 0.128060 | − | 0.248473i | ||||
\(532\) | − | 139.943i | − | 0.263050i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 272.000 | + | 65.9697i | 0.509363 | + | 0.123539i | ||||
\(535\) | 156.000 | + | 227.407i | 0.291589 | + | 0.425060i | ||||
\(536\) | 16.4924i | 0.0307694i | ||||||||
\(537\) | −48.0833 | − | 11.6619i | −0.0895405 | − | 0.0217168i | ||||
\(538\) | 104.957i | 0.195088i | ||||||||
\(539\) | 247.386i | 0.458973i | ||||||||
\(540\) | −268.291 | − | 30.3268i | −0.496836 | − | 0.0561608i | ||||
\(541\) | 418.000 | 0.772643 | 0.386322 | − | 0.922364i | \(-0.373745\pi\) | ||||
0.386322 | + | 0.922364i | \(0.373745\pi\) | |||||||
\(542\) | 56.5685 | 0.104370 | ||||||||
\(543\) | 57.9828 | − | 239.069i | 0.106782 | − | 0.440274i | ||||
\(544\) | −64.0000 | −0.117647 | ||||||||
\(545\) | −226.274 | − | 329.848i | −0.415182 | − | 0.605227i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 285.717i | − | 0.522334i | −0.965294 | − | 0.261167i | \(-0.915893\pi\) | ||
0.965294 | − | 0.261167i | \(-0.0841073\pi\) | |||||||
\(548\) | −101.823 | −0.185809 | ||||||||
\(549\) | 128.000 | + | 65.9697i | 0.233151 | + | 0.120163i | ||||
\(550\) | −544.000 | − | 209.914i | −0.989091 | − | 0.381662i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −48.0833 | + | 198.252i | −0.0871074 | + | 0.359153i | ||||
\(553\) | 419.829i | 0.759184i | ||||||||
\(554\) | − | 626.712i | − | 1.13125i | ||||||
\(555\) | −124.333 | − | 327.019i | −0.224024 | − | 0.589223i | ||||
\(556\) | 88.0000 | 0.158273 | ||||||||
\(557\) | 424.264 | 0.761695 | 0.380847 | − | 0.924638i | \(-0.375632\pi\) | ||||
0.380847 | + | 0.924638i | \(0.375632\pi\) | |||||||
\(558\) | 362.039 | + | 186.590i | 0.648815 | + | 0.334392i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −96.1665 | + | 65.9697i | −0.171726 | + | 0.117803i | ||||
\(561\) | 544.000 | + | 131.939i | 0.969697 | + | 0.235186i | ||||
\(562\) | 734.700i | 1.30730i | ||||||||
\(563\) | −813.173 | −1.44436 | −0.722178 | − | 0.691707i | \(-0.756859\pi\) | ||||
−0.722178 | + | 0.691707i | \(0.756859\pi\) | |||||||
\(564\) | 50.0000 | − | 206.155i | 0.0886525 | − | 0.365524i | ||||
\(565\) | 432.000 | + | 629.743i | 0.764602 | + | 1.11459i | ||||
\(566\) | − | 453.542i | − | 0.801310i | ||||||
\(567\) | 384.666 | − | 274.055i | 0.678423 | − | 0.483342i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 453.542i | 0.797085i | 0.917150 | + | 0.398543i | \(0.130484\pi\) | ||||
−0.917150 | + | 0.398543i | \(0.869516\pi\) | |||||||
\(570\) | 237.941 | − | 90.4656i | 0.417441 | − | 0.158712i | ||||
\(571\) | 220.000 | 0.385289 | 0.192644 | − | 0.981269i | \(-0.438294\pi\) | ||||
0.192644 | + | 0.981269i | \(0.438294\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 865.499 | + | 209.914i | 1.51047 | + | 0.366343i | ||||
\(574\) | −476.000 | −0.829268 | ||||||||
\(575\) | −216.375 | + | 560.742i | −0.376304 | + | 0.975204i | ||||
\(576\) | −64.0000 | − | 32.9848i | −0.111111 | − | 0.0572654i | ||||
\(577\) | 46.6476i | 0.0808451i | 0.999183 | + | 0.0404225i | \(0.0128704\pi\) | ||||
−0.999183 | + | 0.0404225i | \(0.987130\pi\) | |||||||
\(578\) | −227.688 | −0.393925 | ||||||||
\(579\) | 340.000 | + | 82.4621i | 0.587219 | + | 0.142422i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 255.633i | 0.439987i | ||||||||
\(582\) | −673.166 | − | 163.267i | −1.15664 | − | 0.280527i | ||||
\(583\) | 1119.54i | 1.92031i | ||||||||
\(584\) | − | 329.848i | − | 0.564809i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 120.000 | 0.204778 | ||||||||
\(587\) | 55.1543 | 0.0939597 | 0.0469798 | − | 0.998896i | \(-0.485040\pi\) | ||||
0.0469798 | + | 0.998896i | \(0.485040\pi\) | |||||||
\(588\) | −21.2132 | + | 87.4643i | −0.0360769 | + | 0.148749i | ||||
\(589\) | −384.000 | −0.651952 | ||||||||
\(590\) | 96.1665 | − | 65.9697i | 0.162994 | − | 0.111813i | ||||
\(591\) | 136.000 | − | 560.742i | 0.230118 | − | 0.948803i | ||||
\(592\) | − | 93.2952i | − | 0.157593i | ||||||
\(593\) | 390.323 | 0.658217 | 0.329109 | − | 0.944292i | \(-0.393252\pi\) | ||||
0.329109 | + | 0.944292i | \(0.393252\pi\) | |||||||
\(594\) | 476.000 | + | 412.311i | 0.801347 | + | 0.694126i | ||||
\(595\) | 272.000 | − | 186.590i | 0.457143 | − | 0.313597i | ||||
\(596\) | − | 16.4924i | − | 0.0276718i | ||||||
\(597\) | 220.617 | − | 909.628i | 0.369543 | − | 1.52367i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 98.9545i | − | 0.165200i | −0.996583 | − | 0.0825998i | \(-0.973678\pi\) | ||
0.996583 | − | 0.0825998i | \(-0.0263223\pi\) | |||||||
\(600\) | −174.333 | − | 120.864i | −0.290555 | − | 0.201439i | ||||
\(601\) | −880.000 | −1.46423 | −0.732113 | − | 0.681183i | \(-0.761466\pi\) | ||||
−0.732113 | + | 0.681183i | \(0.761466\pi\) | |||||||
\(602\) | 336.583 | 0.559108 | ||||||||
\(603\) | 24.0416 | − | 46.6476i | 0.0398700 | − | 0.0773592i | ||||
\(604\) | 272.000 | 0.450331 | ||||||||
\(605\) | 427.092 | + | 622.589i | 0.705938 | + | 1.02907i | ||||
\(606\) | −544.000 | − | 131.939i | −0.897690 | − | 0.217722i | ||||
\(607\) | 425.659i | 0.701251i | 0.936516 | + | 0.350626i | \(0.114031\pi\) | ||||
−0.936516 | + | 0.350626i | \(0.885969\pi\) | |||||||
\(608\) | 67.8823 | 0.111648 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 64.0000 | + | 93.2952i | 0.104918 | + | 0.152943i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 181.019 | + | 93.2952i | 0.295783 | + | 0.152443i | ||||
\(613\) | − | 606.419i | − | 0.989264i | −0.869102 | − | 0.494632i | \(-0.835303\pi\) | ||
0.869102 | − | 0.494632i | \(-0.164697\pi\) | |||||||
\(614\) | 519.511i | 0.846110i | ||||||||
\(615\) | −307.709 | − | 809.330i | −0.500339 | − | 1.31598i | ||||
\(616\) | 272.000 | 0.441558 | ||||||||
\(617\) | −113.137 | −0.183366 | −0.0916832 | − | 0.995788i | \(-0.529225\pi\) | ||||
−0.0916832 | + | 0.995788i | \(0.529225\pi\) | |||||||
\(618\) | −408.708 | − | 99.1262i | −0.661339 | − | 0.160398i | ||||
\(619\) | 52.0000 | 0.0840065 | 0.0420032 | − | 0.999117i | \(-0.486626\pi\) | ||||
0.0420032 | + | 0.999117i | \(0.486626\pi\) | |||||||
\(620\) | 181.019 | + | 263.879i | 0.291967 | + | 0.425611i | ||||
\(621\) | 425.000 | − | 490.650i | 0.684380 | − | 0.790096i | ||||
\(622\) | − | 139.943i | − | 0.224988i | ||||||
\(623\) | −384.666 | −0.617442 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −463.000 | − | 419.829i | −0.740800 | − | 0.671726i | ||||
\(626\) | − | 263.879i | − | 0.421532i | ||||||
\(627\) | −576.999 | − | 139.943i | −0.920254 | − | 0.223194i | ||||
\(628\) | − | 233.238i | − | 0.371398i | ||||||
\(629\) | 263.879i | 0.419521i | ||||||||
\(630\) | 368.167 | − | 46.4049i | 0.584391 | − | 0.0736585i | ||||
\(631\) | −544.000 | −0.862124 | −0.431062 | − | 0.902322i | \(-0.641861\pi\) | ||||
−0.431062 | + | 0.902322i | \(0.641861\pi\) | |||||||
\(632\) | −203.647 | −0.322226 | ||||||||
\(633\) | 8.48528 | − | 34.9857i | 0.0134049 | − | 0.0552697i | ||||
\(634\) | −736.000 | −1.16088 | ||||||||
\(635\) | −168.291 | + | 115.447i | −0.265026 | + | 0.181806i | ||||
\(636\) | −96.0000 | + | 395.818i | −0.150943 | + | 0.622356i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −32.0000 | − | 46.6476i | −0.0500000 | − | 0.0728869i | ||||
\(641\) | − | 849.360i | − | 1.32505i | −0.749038 | − | 0.662527i | \(-0.769484\pi\) | ||
0.749038 | − | 0.662527i | \(-0.230516\pi\) | |||||||
\(642\) | 55.1543 | − | 227.407i | 0.0859102 | − | 0.354217i | ||||
\(643\) | 367.350i | 0.571306i | 0.958333 | + | 0.285653i | \(0.0922105\pi\) | ||||
−0.958333 | + | 0.285653i | \(0.907789\pi\) | |||||||
\(644\) | − | 280.371i | − | 0.435359i | ||||||
\(645\) | 217.583 | + | 572.283i | 0.337338 | + | 0.887260i | ||||
\(646\) | −192.000 | −0.297214 | ||||||||
\(647\) | −971.565 | −1.50165 | −0.750823 | − | 0.660504i | \(-0.770343\pi\) | ||||
−0.750823 | + | 0.660504i | \(0.770343\pi\) | |||||||
\(648\) | 132.936 | + | 186.590i | 0.205148 | + | 0.287948i | ||||
\(649\) | −272.000 | −0.419106 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −544.000 | − | 131.939i | −0.835637 | − | 0.202672i | ||||
\(652\) | 198.252i | 0.304068i | ||||||||
\(653\) | 350.725 | 0.537098 | 0.268549 | − | 0.963266i | \(-0.413456\pi\) | ||||
0.268549 | + | 0.963266i | \(0.413456\pi\) | |||||||
\(654\) | −80.0000 | + | 329.848i | −0.122324 | + | 0.504355i | ||||
\(655\) | 204.000 | − | 139.943i | 0.311450 | − | 0.213653i | ||||
\(656\) | − | 230.894i | − | 0.351972i | ||||||
\(657\) | −480.833 | + | 932.952i | −0.731861 | + | 1.42002i | ||||
\(658\) | 291.548i | 0.443081i | ||||||||
\(659\) | − | 577.235i | − | 0.875925i | −0.898993 | − | 0.437963i | \(-0.855700\pi\) | ||
0.898993 | − | 0.437963i | \(-0.144300\pi\) | |||||||
\(660\) | 175.833 | + | 462.474i | 0.266414 | + | 0.700719i | ||||
\(661\) | 80.0000 | 0.121029 | 0.0605144 | − | 0.998167i | \(-0.480726\pi\) | ||||
0.0605144 | + | 0.998167i | \(0.480726\pi\) | |||||||
\(662\) | 412.950 | 0.623792 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −124.000 | −0.186747 | ||||||||
\(665\) | −288.500 | + | 197.909i | −0.433834 | + | 0.297608i | ||||
\(666\) | −136.000 | + | 263.879i | −0.204204 | + | 0.396214i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 585.484 | 0.876474 | ||||||||
\(669\) | −119.000 | − | 28.8617i | −0.177877 | − | 0.0431416i | ||||
\(670\) | 34.0000 | − | 23.3238i | 0.0507463 | − | 0.0348117i | ||||
\(671\) | − | 263.879i | − | 0.393262i | ||||||
\(672\) | 96.1665 | + | 23.3238i | 0.143105 | + | 0.0347080i | ||||
\(673\) | − | 489.800i | − | 0.727786i | −0.931441 | − | 0.363893i | \(-0.881447\pi\) | ||
0.931441 | − | 0.363893i | \(-0.118553\pi\) | |||||||
\(674\) | 461.788i | 0.685145i | ||||||||
\(675\) | 316.901 | + | 595.986i | 0.469483 | + | 0.882942i | ||||
\(676\) | 338.000 | 0.500000 | ||||||||
\(677\) | 192.333 | 0.284096 | 0.142048 | − | 0.989860i | \(-0.454631\pi\) | ||||
0.142048 | + | 0.989860i | \(0.454631\pi\) | |||||||
\(678\) | 152.735 | − | 629.743i | 0.225273 | − | 0.928824i | ||||
\(679\) | 952.000 | 1.40206 | ||||||||
\(680\) | 90.5097 | + | 131.939i | 0.133102 | + | 0.194029i | ||||
\(681\) | 113.000 | − | 465.911i | 0.165932 | − | 0.684157i | ||||
\(682\) | − | 746.362i | − | 1.09437i | ||||||
\(683\) | 236.174 | 0.345789 | 0.172894 | − | 0.984940i | \(-0.444688\pi\) | ||||
0.172894 | + | 0.984940i | \(0.444688\pi\) | |||||||
\(684\) | −192.000 | − | 98.9545i | −0.280702 | − | 0.144670i | ||||
\(685\) | 144.000 | + | 209.914i | 0.210219 | + | 0.306444i | ||||
\(686\) | − | 527.758i | − | 0.769326i | ||||||
\(687\) | −57.9828 | + | 239.069i | −0.0843999 | + | 0.347990i | ||||
\(688\) | 163.267i | 0.237306i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 476.708 | − | 181.245i | 0.690881 | − | 0.262674i | ||||
\(691\) | −548.000 | −0.793054 | −0.396527 | − | 0.918023i | \(-0.629785\pi\) | ||||
−0.396527 | + | 0.918023i | \(0.629785\pi\) | |||||||
\(692\) | −328.098 | −0.474129 | ||||||||
\(693\) | −769.332 | − | 396.505i | −1.11015 | − | 0.572157i | ||||
\(694\) | 558.000 | 0.804035 | ||||||||
\(695\) | −124.451 | − | 181.417i | −0.179066 | − | 0.261031i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 653.067i | 0.936968i | ||||||||
\(698\) | 359.210 | 0.514628 | ||||||||
\(699\) | −136.000 | + | 560.742i | −0.194564 | + | 0.802207i | ||||
\(700\) | 272.000 | + | 104.957i | 0.388571 | + | 0.149939i | ||||
\(701\) | − | 57.7235i | − | 0.0823445i | −0.999152 | − | 0.0411722i | \(-0.986891\pi\) | ||
0.999152 | − | 0.0411722i | \(-0.0131092\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 279.886i | − | 0.398130i | ||||||
\(704\) | 131.939i | 0.187414i | ||||||||
\(705\) | −495.711 | + | 188.470i | −0.703136 | + | 0.267333i | ||||
\(706\) | 488.000 | 0.691218 | ||||||||
\(707\) | 769.332 | 1.08816 | ||||||||
\(708\) | −96.1665 | − | 23.3238i | −0.135828 | − | 0.0329432i | ||||
\(709\) | 1230.00 | 1.73484 | 0.867419 | − | 0.497579i | \(-0.165777\pi\) | ||||
0.867419 | + | 0.497579i | \(0.165777\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 576.000 | + | 296.864i | 0.810127 | + | 0.417530i | ||||
\(712\) | − | 186.590i | − | 0.262065i | ||||||
\(713\) | −769.332 | −1.07901 | ||||||||
\(714\) | −272.000 | − | 65.9697i | −0.380952 | − | 0.0923945i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 32.9848i | 0.0460682i | ||||||||
\(717\) | 1346.33 | + | 326.533i | 1.87773 | + | 0.455416i | ||||
\(718\) | 559.771i | 0.779626i | ||||||||
\(719\) | 626.712i | 0.871644i | 0.900033 | + | 0.435822i | \(0.143542\pi\) | ||||
−0.900033 | + | 0.435822i | \(0.856458\pi\) | |||||||
\(720\) | 22.5097 | + | 178.587i | 0.0312634 | + | 0.248037i | ||||
\(721\) | 578.000 | 0.801664 | ||||||||
\(722\) | −306.884 | −0.425048 | ||||||||
\(723\) | −214.960 | + | 886.305i | −0.297317 | + | 1.22587i | ||||
\(724\) | −164.000 | −0.226519 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 151.000 | − | 622.589i | 0.207989 | − | 0.857561i | ||||
\(727\) | − | 367.350i | − | 0.505296i | −0.967558 | − | 0.252648i | \(-0.918699\pi\) | ||
0.967558 | − | 0.252648i | \(-0.0813014\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −104.000 | − | 721.543i | −0.142661 | − | 0.989772i | ||||
\(730\) | −680.000 | + | 466.476i | −0.931507 | + | 0.639008i | ||||
\(731\) | − | 461.788i | − | 0.631721i | ||||||
\(732\) | 22.6274 | − | 93.2952i | 0.0309118 | − | 0.127453i | ||||
\(733\) | − | 1002.92i | − | 1.36825i | −0.729367 | − | 0.684123i | \(-0.760185\pi\) | ||
0.729367 | − | 0.684123i | \(-0.239815\pi\) | |||||||
\(734\) | 585.481i | 0.797658i | ||||||||
\(735\) | 210.312 | − | 79.9610i | 0.286139 | − | 0.108791i | ||||
\(736\) | 136.000 | 0.184783 | ||||||||
\(737\) | −96.1665 | −0.130484 | ||||||||
\(738\) | −336.583 | + | 653.067i | −0.456074 | + | 0.884914i | ||||
\(739\) | −340.000 | −0.460081 | −0.230041 | − | 0.973181i | \(-0.573886\pi\) | ||||
−0.230041 | + | 0.973181i | \(0.573886\pi\) | |||||||
\(740\) | −192.333 | + | 131.939i | −0.259910 | + | 0.178296i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 559.771i | − | 0.754409i | ||||||
\(743\) | 1243.09 | 1.67307 | 0.836537 | − | 0.547911i | \(-0.184577\pi\) | ||||
0.836537 | + | 0.547911i | \(0.184577\pi\) | |||||||
\(744\) | 64.0000 | − | 263.879i | 0.0860215 | − | 0.354676i | ||||
\(745\) | −34.0000 | + | 23.3238i | −0.0456376 | + | 0.0313071i | ||||
\(746\) | 890.591i | 1.19382i | ||||||||
\(747\) | 350.725 | + | 180.760i | 0.469511 | + | 0.241981i | ||||
\(748\) | − | 373.181i | − | 0.498905i | ||||||
\(749\) | 321.602i | 0.429375i | ||||||||
\(750\) | −2.62237 | + | 530.324i | −0.00349649 | + | 0.707098i | ||||
\(751\) | −520.000 | −0.692410 | −0.346205 | − | 0.938159i | \(-0.612530\pi\) | ||||
−0.346205 | + | 0.938159i | \(0.612530\pi\) | |||||||
\(752\) | −141.421 | −0.188060 | ||||||||
\(753\) | −1009.75 | − | 244.900i | −1.34097 | − | 0.325232i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −384.666 | − | 560.742i | −0.509492 | − | 0.742705i | ||||
\(756\) | −238.000 | − | 206.155i | −0.314815 | − | 0.272692i | ||||
\(757\) | 816.333i | 1.07838i | 0.842184 | + | 0.539190i | \(0.181269\pi\) | ||||
−0.842184 | + | 0.539190i | \(0.818731\pi\) | |||||||
\(758\) | −808.930 | −1.06719 | ||||||||
\(759\) | −1156.00 | − | 280.371i | −1.52306 | − | 0.369395i | ||||
\(760\) | −96.0000 | − | 139.943i | −0.126316 | − | 0.184135i | ||||
\(761\) | 395.818i | 0.520129i | 0.965591 | + | 0.260064i | \(0.0837438\pi\) | ||||
−0.965591 | + | 0.260064i | \(0.916256\pi\) | |||||||
\(762\) | 168.291 | + | 40.8167i | 0.220855 | + | 0.0535652i | ||||
\(763\) | − | 466.476i | − | 0.611371i | ||||||
\(764\) | − | 593.727i | − | 0.777130i | ||||||
\(765\) | −63.6670 | − | 505.120i | −0.0832248 | − | 0.660288i | ||||
\(766\) | −274.000 | −0.357702 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −11.3137 | + | 46.6476i | −0.0147314 | + | 0.0607391i | ||||
\(769\) | −306.000 | −0.397919 | −0.198960 | − | 0.980008i | \(-0.563756\pi\) | ||||
−0.198960 | + | 0.980008i | \(0.563756\pi\) | |||||||
\(770\) | −384.666 | − | 560.742i | −0.499566 | − | 0.728237i | ||||
\(771\) | −276.000 | + | 1137.98i | −0.357977 | + | 1.47598i | ||||
\(772\) | − | 233.238i | − | 0.302122i | ||||||
\(773\) | 305.470 | 0.395175 | 0.197587 | − | 0.980285i | \(-0.436689\pi\) | ||||
0.197587 | + | 0.980285i | \(0.436689\pi\) | |||||||
\(774\) | 238.000 | − | 461.788i | 0.307494 | − | 0.596625i | ||||
\(775\) | 288.000 | − | 746.362i | 0.371613 | − | 0.963048i | ||||
\(776\) | 461.788i | 0.595087i | ||||||||
\(777\) | 96.1665 | − | 396.505i | 0.123766 | − | 0.510302i | ||||
\(778\) | − | 548.109i | − | 0.704511i | ||||||
\(779\) | − | 692.682i | − | 0.889194i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −384.666 | −0.491900 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 60.0000 | 0.0765306 | ||||||||
\(785\) | −480.833 | + | 329.848i | −0.612526 | + | 0.420189i | ||||
\(786\) | −204.000 | − | 49.4773i | −0.259542 | − | 0.0629482i | ||||
\(787\) | − | 565.602i | − | 0.718681i | −0.933206 | − | 0.359341i | \(-0.883002\pi\) | ||
0.933206 | − | 0.359341i | \(-0.116998\pi\) | |||||||
\(788\) | −384.666 | −0.488155 | ||||||||
\(789\) | −209.000 | + | 861.729i | −0.264892 | + | 1.09218i | ||||
\(790\) | 288.000 | + | 419.829i | 0.364557 | + | 0.531429i | ||||
\(791\) | 890.591i | 1.12590i | ||||||||
\(792\) | 192.333 | − | 373.181i | 0.242845 | − | 0.471188i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 725.667i | − | 0.913938i | ||||||
\(795\) | 951.765 | − | 361.862i | 1.19719 | − | 0.455173i | ||||
\(796\) | −624.000 | −0.783920 | ||||||||
\(797\) | −1063.49 | −1.33436 | −0.667182 | − | 0.744894i | \(-0.732500\pi\) | ||||
−0.667182 | + | 0.744894i | \(0.732500\pi\) | |||||||
\(798\) | 288.500 | + | 69.9714i | 0.361528 | + | 0.0876835i | ||||
\(799\) | 400.000 | 0.500626 | ||||||||
\(800\) | −50.9117 | + | 131.939i | −0.0636396 | + | 0.164924i | ||||
\(801\) | −272.000 | + | 527.758i | −0.339576 | + | 0.658873i | ||||
\(802\) | − | 93.2952i | − | 0.116328i | ||||||
\(803\) | 1923.33 | 2.39518 | ||||||||
\(804\) | −34.0000 | − | 8.24621i | −0.0422886 | − | 0.0102565i | ||||
\(805\) | −578.000 | + | 396.505i | −0.718012 | + | 0.492552i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −216.375 | − | 52.4786i | −0.268122 | − | 0.0650292i | ||||
\(808\) | 373.181i | 0.461858i | ||||||||
\(809\) | − | 791.636i | − | 0.978537i | −0.872133 | − | 0.489268i | \(-0.837264\pi\) | ||
0.872133 | − | 0.489268i | \(-0.162736\pi\) | |||||||
\(810\) | 196.666 | − | 537.933i | 0.242798 | − | 0.664115i | ||||
\(811\) | 436.000 | 0.537608 | 0.268804 | − | 0.963195i | \(-0.413372\pi\) | ||||
0.268804 | + | 0.963195i | \(0.413372\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −28.2843 | + | 116.619i | −0.0347900 | + | 0.143443i | ||||
\(814\) | 544.000 | 0.668305 | ||||||||
\(815\) | 408.708 | − | 280.371i | 0.501482 | − | 0.344014i | ||||
\(816\) | 32.0000 | − | 131.939i | 0.0392157 | − | 0.161690i | ||||
\(817\) | 489.800i | 0.599510i | ||||||||
\(818\) | 905.097 | 1.10648 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −476.000 | + | 326.533i | −0.580488 | + | 0.398211i | ||||
\(821\) | 799.882i | 0.974278i | 0.873324 | + | 0.487139i | \(0.161960\pi\) | ||||
−0.873324 | + | 0.487139i | \(0.838040\pi\) | |||||||
\(822\) | 50.9117 | − | 209.914i | 0.0619364 | − | 0.255370i | ||||
\(823\) | 1311.96i | 1.59412i | 0.603897 | + | 0.797062i | \(0.293614\pi\) | ||||
−0.603897 | + | 0.797062i | \(0.706386\pi\) | |||||||
\(824\) | 280.371i | 0.340256i | ||||||||
\(825\) | 704.749 | − | 1016.53i | 0.854242 | − | 1.23215i | ||||
\(826\) | 136.000 | 0.164649 | ||||||||
\(827\) | 985.707 | 1.19191 | 0.595953 | − | 0.803019i | \(-0.296774\pi\) | ||||
0.595953 | + | 0.803019i | \(0.296774\pi\) | |||||||
\(828\) | −384.666 | − | 198.252i | −0.464573 | − | 0.239435i | ||||
\(829\) | −1488.00 | −1.79493 | −0.897467 | − | 0.441082i | \(-0.854595\pi\) | ||||
−0.897467 | + | 0.441082i | \(0.854595\pi\) | |||||||
\(830\) | 175.362 | + | 255.633i | 0.211280 | + | 0.307991i | ||||
\(831\) | 1292.00 | + | 313.356i | 1.55475 | + | 0.377083i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −169.706 | −0.203728 | ||||||||
\(834\) | −44.0000 | + | 181.417i | −0.0527578 | + | 0.217526i | ||||
\(835\) | −828.000 | − | 1207.01i | −0.991617 | − | 1.44552i | ||||
\(836\) | 395.818i | 0.473467i | ||||||||
\(837\) | −565.685 | + | 653.067i | −0.675849 | + | 0.780247i | ||||
\(838\) | 816.333i | 0.974145i | ||||||||
\(839\) | 461.788i | 0.550403i | 0.961387 | + | 0.275201i | \(0.0887445\pi\) | ||||
−0.961387 | + | 0.275201i | \(0.911255\pi\) | |||||||
\(840\) | −87.9167 | − | 231.237i | −0.104663 | − | 0.275282i | ||||
\(841\) | 841.000 | 1.00000 | ||||||||
\(842\) | −927.724 | −1.10181 | ||||||||
\(843\) | −1514.62 | − | 367.350i | −1.79671 | − | 0.435765i | ||||
\(844\) | −24.0000 | −0.0284360 | ||||||||
\(845\) | −478.004 | − | 696.805i | −0.565685 | − | 0.824621i | ||||
\(846\) | 400.000 | + | 206.155i | 0.472813 | + | 0.243682i | ||||
\(847\) | 880.474i | 1.03952i | ||||||||
\(848\) | 271.529 | 0.320199 | ||||||||
\(849\) | 935.000 | + | 226.771i | 1.10130 | + | 0.267103i | ||||
\(850\) | 144.000 | − | 373.181i | 0.169412 | − | 0.439036i | ||||
\(851\) | − | 560.742i | − | 0.658922i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 326.533i | 0.382806i | 0.981512 | + | 0.191403i | \(0.0613037\pi\) | ||||
−0.981512 | + | 0.191403i | \(0.938696\pi\) | |||||||
\(854\) | 131.939i | 0.154496i | ||||||||
\(855\) | 67.5290 | + | 535.761i | 0.0789813 | + | 0.626621i | ||||
\(856\) | −156.000 | −0.182243 | ||||||||
\(857\) | −288.500 | −0.336639 | −0.168319 | − | 0.985732i | \(-0.553834\pi\) | ||||
−0.168319 | + | 0.985732i | \(0.553834\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 796.000 | 0.926659 | 0.463329 | − | 0.886186i | \(-0.346655\pi\) | ||||
0.463329 | + | 0.886186i | \(0.346655\pi\) | |||||||
\(860\) | 336.583 | − | 230.894i | 0.391375 | − | 0.268481i | ||||
\(861\) | 238.000 | − | 981.299i | 0.276423 | − | 1.13972i | ||||
\(862\) | 513.124i | 0.595271i | ||||||||
\(863\) | −352.139 | −0.408041 | −0.204020 | − | 0.978967i | \(-0.565401\pi\) | ||||
−0.204020 | + | 0.978967i | \(0.565401\pi\) | |||||||
\(864\) | 100.000 | − | 115.447i | 0.115741 | − | 0.133619i | ||||
\(865\) | 464.000 | + | 676.390i | 0.536416 | + | 0.781954i | ||||
\(866\) | 230.894i | 0.266621i | ||||||||
\(867\) | 113.844 | − | 469.392i | 0.131308 | − | 0.541397i | ||||
\(868\) | 373.181i | 0.429932i | ||||||||
\(869\) | − | 1187.45i | − | 1.36646i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 226.274 | 0.259489 | ||||||||
\(873\) | 673.166 | − | 1306.13i | 0.771095 | − | 1.49614i | ||||
\(874\) | 408.000 | 0.466819 | ||||||||
\(875\) | −168.291 | − | 709.174i | −0.192333 | − | 0.810485i | ||||
\(876\) | 680.000 | + | 164.924i | 0.776256 | + | 0.188270i | ||||
\(877\) | − | 676.390i | − | 0.771255i | −0.922655 | − | 0.385627i | \(-0.873985\pi\) | ||
0.922655 | − | 0.385627i | \(-0.126015\pi\) | |||||||
\(878\) | 610.940 | 0.695832 | ||||||||
\(879\) | −60.0000 | + | 247.386i | −0.0682594 | + | 0.281441i | ||||
\(880\) | 272.000 | − | 186.590i | 0.309091 | − | 0.212035i | ||||
\(881\) | − | 519.511i | − | 0.589684i | −0.955546 | − | 0.294842i | \(-0.904733\pi\) | ||
0.955546 | − | 0.294842i | \(-0.0952670\pi\) | |||||||
\(882\) | −169.706 | − | 87.4643i | −0.192410 | − | 0.0991658i | ||||
\(883\) | 1591.85i | 1.80277i | 0.433014 | + | 0.901387i | \(0.357450\pi\) | ||||
−0.433014 | + | 0.901387i | \(0.642550\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 87.9167 | + | 231.237i | 0.0993409 | + | 0.261285i | ||||
\(886\) | 174.000 | 0.196388 | ||||||||
\(887\) | −767.918 | −0.865747 | −0.432874 | − | 0.901455i | \(-0.642500\pi\) | ||||
−0.432874 | + | 0.901455i | \(0.642500\pi\) | |||||||
\(888\) | 192.333 | + | 46.6476i | 0.216591 | + | 0.0525311i | ||||
\(889\) | −238.000 | −0.267717 | ||||||||
\(890\) | −384.666 | + | 263.879i | −0.432209 | + | 0.296493i | ||||
\(891\) | −1088.00 | + | 775.144i | −1.22110 | + | 0.869971i | ||||
\(892\) | 81.6333i | 0.0915172i | ||||||||
\(893\) | −424.264 | −0.475100 | ||||||||
\(894\) | 34.0000 | + | 8.24621i | 0.0380313 | + | 0.00922395i | ||||
\(895\) | 68.0000 | − | 46.6476i | 0.0759777 | − | 0.0521202i | ||||
\(896\) | − | 65.9697i | − | 0.0736269i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 1224.50i | − | 1.36359i | ||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 336.333 | − | 298.965i | 0.373703 | − | 0.332183i | ||||
\(901\) | −768.000 | −0.852386 | ||||||||
\(902\) | 1346.33 | 1.49261 | ||||||||
\(903\) | −168.291 | + | 693.883i | −0.186369 | + | 0.768420i | ||||
\(904\) | −432.000 | −0.477876 | ||||||||
\(905\) | 231.931 | + | 338.095i | 0.256277 | + | 0.373585i | ||||
\(906\) | −136.000 | + | 560.742i | −0.150110 | + | 0.618921i | ||||
\(907\) | 332.364i | 0.366444i | 0.983072 | + | 0.183222i | \(0.0586526\pi\) | ||||
−0.983072 | + | 0.183222i | \(0.941347\pi\) | |||||||
\(908\) | −319.612 | −0.351996 | ||||||||
\(909\) | 544.000 | − | 1055.52i | 0.598460 | − | 1.16118i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 692.682i | 0.760353i | 0.924914 | + | 0.380177i | \(0.124137\pi\) | ||||
−0.924914 | + | 0.380177i | \(0.875863\pi\) | |||||||
\(912\) | −33.9411 | + | 139.943i | −0.0372161 | + | 0.153446i | ||||
\(913\) | − | 723.038i | − | 0.791937i | ||||||
\(914\) | 659.697i | 0.721769i | ||||||||
\(915\) | −224.333 | + | 85.2918i | −0.245173 | + | 0.0932150i | ||||
\(916\) | 164.000 | 0.179039 | ||||||||
\(917\) | 288.500 | 0.314612 | ||||||||
\(918\) | −282.843 | + | 326.533i | −0.308108 | + | 0.355701i | ||||
\(919\) | −912.000 | −0.992383 | −0.496192 | − | 0.868213i | \(-0.665269\pi\) | ||||
−0.496192 | + | 0.868213i | \(0.665269\pi\) | |||||||
\(920\) | −192.333 | − | 280.371i | −0.209058 | − | 0.304751i | ||||
\(921\) | −1071.00 | − | 259.756i | −1.16287 | − | 0.282037i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −136.000 | + | 560.742i | −0.147186 | + | 0.606864i | ||||
\(925\) | 544.000 | + | 209.914i | 0.588108 | + | 0.226934i | ||||
\(926\) | − | 865.852i | − | 0.935046i | ||||||
\(927\) | 408.708 | − | 793.009i | 0.440893 | − | 0.855458i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1261.67i | 1.35810i | 0.734094 | + | 0.679048i | \(0.237607\pi\) | ||||
−0.734094 | + | 0.679048i | \(0.762393\pi\) | |||||||
\(930\) | −634.510 | + | 241.242i | −0.682268 | + | 0.259400i | ||||
\(931\) | 180.000 | 0.193340 | ||||||||
\(932\) | 384.666 | 0.412732 | ||||||||
\(933\) | 288.500 | + | 69.9714i | 0.309217 | + | 0.0749962i | ||||
\(934\) | −1086.00 | −1.16274 | ||||||||
\(935\) | −769.332 | + | 527.758i | −0.822815 | + | 0.564447i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 816.333i | − | 0.871220i | −0.900135 | − | 0.435610i | \(-0.856533\pi\) | ||
0.900135 | − | 0.435610i | \(-0.143467\pi\) | |||||||
\(938\) | 48.0833 | 0.0512615 | ||||||||
\(939\) | 544.000 | + | 131.939i | 0.579340 | + | 0.140511i | ||||
\(940\) | 200.000 | + | 291.548i | 0.212766 | + | 0.310157i | ||||
\(941\) | 1055.52i | 1.12170i | 0.827919 | + | 0.560848i | \(0.189525\pi\) | ||||
−0.827919 | + | 0.560848i | \(0.810475\pi\) | |||||||
\(942\) | 480.833 | + | 116.619i | 0.510438 | + | 0.123799i | ||||
\(943\) | − | 1387.77i | − | 1.47165i | ||||||
\(944\) | 65.9697i | 0.0698831i | ||||||||
\(945\) | −88.4172 | + | 782.197i | −0.0935631 | + | 0.827722i | ||||
\(946\) | −952.000 | −1.00634 | ||||||||
\(947\) | −114.551 | −0.120962 | −0.0604812 | − | 0.998169i | \(-0.519264\pi\) | ||||
−0.0604812 | + | 0.998169i | \(0.519264\pi\) | |||||||
\(948\) | 101.823 | − | 419.829i | 0.107409 | − | 0.442857i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −152.735 | + | 395.818i | −0.160774 | + | 0.416651i | ||||
\(951\) | 368.000 | − | 1517.30i | 0.386961 | − | 1.59548i | ||||
\(952\) | 186.590i | 0.195998i | ||||||||
\(953\) | 243.245 | 0.255241 | 0.127621 | − | 0.991823i | \(-0.459266\pi\) | ||||
0.127621 | + | 0.991823i | \(0.459266\pi\) | |||||||
\(954\) | −768.000 | − | 395.818i | −0.805031 | − | 0.414904i | ||||
\(955\) | −1224.00 | + | 839.657i | −1.28168 | + | 0.879222i | ||||
\(956\) | − | 923.576i | − | 0.966083i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 793.009i | − | 0.827776i | ||||||
\(959\) | 296.864i | 0.309555i | ||||||||
\(960\) | 112.167 | − | 42.6459i | 0.116840 | − | 0.0444228i | ||||
\(961\) | 63.0000 | 0.0655567 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 441.235 | + | 227.407i | 0.458188 | + | 0.236144i | ||||
\(964\) | 608.000 | 0.630705 | ||||||||
\(965\) | −480.833 | + | 329.848i | −0.498272 | + | 0.341812i | ||||
\(966\) | 578.000 | + | 140.186i | 0.598344 | + | 0.145120i | ||||
\(967\) | − | 938.783i | − | 0.970820i | −0.874287 | − | 0.485410i | \(-0.838670\pi\) | ||
0.874287 | − | 0.485410i | \(-0.161330\pi\) | |||||||
\(968\) | −427.092 | −0.441211 | ||||||||
\(969\) | 96.0000 | − | 395.818i | 0.0990712 | − | 0.408481i | ||||
\(970\) | 952.000 | − | 653.067i | 0.981443 | − | 0.673265i | ||||
\(971\) | − | 1335.89i | − | 1.37578i | −0.725813 | − | 0.687892i | \(-0.758536\pi\) | ||
0.725813 | − | 0.687892i | \(-0.241464\pi\) | |||||||
\(972\) | −451.134 | + | 180.760i | −0.464130 | + | 0.185967i | ||||
\(973\) | − | 256.562i | − | 0.263681i | ||||||
\(974\) | − | 915.329i | − | 0.939763i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −64.0000 | −0.0655738 | ||||||||
\(977\) | 305.470 | 0.312661 | 0.156331 | − | 0.987705i | \(-0.450033\pi\) | ||||
0.156331 | + | 0.987705i | \(0.450033\pi\) | |||||||
\(978\) | −408.708 | − | 99.1262i | −0.417902 | − | 0.101356i | ||||
\(979\) | 1088.00 | 1.11134 | ||||||||
\(980\) | −84.8528 | − | 123.693i | −0.0865845 | − | 0.126218i | ||||
\(981\) | −640.000 | − | 329.848i | −0.652396 | − | 0.336237i | ||||
\(982\) | 489.800i | 0.498778i | ||||||||
\(983\) | −1110.16 | −1.12936 | −0.564678 | − | 0.825311i | \(-0.691000\pi\) | ||||
−0.564678 | + | 0.825311i | \(0.691000\pi\) | |||||||
\(984\) | 476.000 | + | 115.447i | 0.483740 | + | 0.117324i | ||||
\(985\) | 544.000 | + | 793.009i | 0.552284 | + | 0.805086i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −601.041 | − | 145.774i | −0.608957 | − | 0.147694i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 981.299i | 0.992213i | ||||||||
\(990\) | −1041.33 | + | 131.253i | −1.05185 | + | 0.132579i | ||||
\(991\) | 640.000 | 0.645812 | 0.322906 | − | 0.946431i | \(-0.395340\pi\) | ||||
0.322906 | + | 0.946431i | \(0.395340\pi\) | |||||||
\(992\) | −181.019 | −0.182479 | ||||||||
\(993\) | −206.475 | + | 851.319i | −0.207931 | + | 0.857320i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 882.469 | + | 1286.41i | 0.886904 | + | 1.29287i | ||||
\(996\) | 62.0000 | − | 255.633i | 0.0622490 | − | 0.256659i | ||||
\(997\) | − | 279.886i | − | 0.280728i | −0.990100 | − | 0.140364i | \(-0.955173\pi\) | ||
0.990100 | − | 0.140364i | \(-0.0448273\pi\) | |||||||
\(998\) | −933.381 | −0.935251 | ||||||||
\(999\) | −476.000 | − | 412.311i | −0.476476 | − | 0.412723i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))