Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(125,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.m (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 125.8 | ||
Root | \(1.62181 - 0.608059i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.125 |
Dual form | 378.2.m.a.251.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.94556 | − | 3.36980i | 0.870080 | − | 1.50702i | 0.00816625 | − | 0.999967i | \(-0.497401\pi\) |
0.861913 | − | 0.507056i | \(-0.169266\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.09985 | + | 1.60954i | 0.793668 | + | 0.608351i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 3.89111i | − | 1.23048i | ||||||
\(11\) | −3.41614 | + | 1.97231i | −1.03001 | + | 0.594674i | −0.916986 | − | 0.398919i | \(-0.869385\pi\) |
−0.113019 | + | 0.993593i | \(0.536052\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.46687 | − | 1.42425i | −0.684186 | − | 0.395015i | 0.117244 | − | 0.993103i | \(-0.462594\pi\) |
−0.801430 | + | 0.598088i | \(0.795927\pi\) | |||||||
\(14\) | 2.62329 | + | 0.343982i | 0.701105 | + | 0.0919330i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0.742117 | 0.179990 | 0.0899949 | − | 0.995942i | \(-0.471315\pi\) | ||||
0.0899949 | + | 0.995942i | \(0.471315\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.78474i | 0.409447i | 0.978820 | + | 0.204723i | \(0.0656295\pi\) | ||||
−0.978820 | + | 0.204723i | \(0.934370\pi\) | |||||||
\(20\) | −1.94556 | − | 3.36980i | −0.435040 | − | 0.753511i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.97231 | + | 3.41614i | −0.420498 | + | 0.728324i | ||||
\(23\) | 5.41535 | + | 3.12656i | 1.12918 | + | 0.651932i | 0.943728 | − | 0.330722i | \(-0.107292\pi\) |
0.185451 | + | 0.982654i | \(0.440626\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −5.07039 | − | 8.78217i | −1.01408 | − | 1.75643i | ||||
\(26\) | −2.84849 | −0.558636 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.44383 | − | 1.01375i | 0.461841 | − | 0.191581i | ||||
\(29\) | 2.50079 | − | 1.44383i | 0.464385 | − | 0.268113i | −0.249501 | − | 0.968374i | \(-0.580267\pi\) |
0.713886 | + | 0.700262i | \(0.246933\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.04125 | − | 1.75587i | −0.546225 | − | 0.315363i | 0.201373 | − | 0.979515i | \(-0.435460\pi\) |
−0.747598 | + | 0.664152i | \(0.768793\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.642692 | − | 0.371058i | 0.110221 | − | 0.0636360i | ||||
\(35\) | 9.50923 | − | 3.94462i | 1.60735 | − | 0.666762i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.00158 | 0.493456 | 0.246728 | − | 0.969085i | \(-0.420645\pi\) | ||||
0.246728 | + | 0.969085i | \(0.420645\pi\) | |||||||
\(38\) | 0.892369 | + | 1.54563i | 0.144761 | + | 0.250734i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.36980 | − | 1.94556i | −0.532813 | − | 0.307620i | ||||
\(41\) | −5.24705 | + | 9.08816i | −0.819452 | + | 1.41933i | 0.0866345 | + | 0.996240i | \(0.472389\pi\) |
−0.906087 | + | 0.423092i | \(0.860945\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.471521 | + | 0.816699i | 0.0719063 | + | 0.124545i | 0.899737 | − | 0.436433i | \(-0.143758\pi\) |
−0.827830 | + | 0.560978i | \(0.810425\pi\) | |||||||
\(44\) | 3.94462i | 0.594674i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.25311 | 0.921971 | ||||||||
\(47\) | 1.09263 | + | 1.89248i | 0.159376 | + | 0.276047i | 0.934644 | − | 0.355585i | \(-0.115718\pi\) |
−0.775268 | + | 0.631633i | \(0.782385\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.81873 | + | 6.75960i | 0.259819 | + | 0.965657i | ||||
\(50\) | −8.78217 | − | 5.07039i | −1.24199 | − | 0.717061i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.46687 | + | 1.42425i | −0.342093 | + | 0.197507i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 15.3490i | 2.06965i | ||||||||
\(56\) | 1.60954 | − | 2.09985i | 0.215084 | − | 0.280604i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.44383 | − | 2.50079i | 0.189584 | − | 0.328370i | ||||
\(59\) | 0.0105673 | − | 0.0183031i | 0.00137575 | − | 0.00238286i | −0.865337 | − | 0.501191i | \(-0.832895\pi\) |
0.866712 | + | 0.498808i | \(0.166229\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.13832 | − | 1.23456i | 0.273783 | − | 0.158069i | −0.356822 | − | 0.934172i | \(-0.616140\pi\) |
0.630606 | + | 0.776103i | \(0.282807\pi\) | |||||||
\(62\) | −3.51174 | −0.445991 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −9.59886 | + | 5.54191i | −1.19059 | + | 0.687389i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.72463 | + | 11.6474i | −0.821544 | + | 1.42296i | 0.0829874 | + | 0.996551i | \(0.473554\pi\) |
−0.904532 | + | 0.426406i | \(0.859779\pi\) | |||||||
\(68\) | 0.371058 | − | 0.642692i | 0.0449974 | − | 0.0779379i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.26292 | − | 8.17075i | 0.748562 | − | 0.976592i | ||||
\(71\) | 1.94304i | 0.230597i | 0.993331 | + | 0.115298i | \(0.0367824\pi\) | ||||
−0.993331 | + | 0.115298i | \(0.963218\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 4.85486i | − | 0.568218i | −0.958792 | − | 0.284109i | \(-0.908302\pi\) | ||
0.958792 | − | 0.284109i | \(-0.0916978\pi\) | |||||||
\(74\) | 2.59944 | − | 1.50079i | 0.302179 | − | 0.174463i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.54563 | + | 0.892369i | 0.177296 | + | 0.102362i | ||||
\(77\) | −10.3479 | − | 1.35688i | −1.17925 | − | 0.154630i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.81806 | − | 3.14898i | −0.204548 | − | 0.354288i | 0.745440 | − | 0.666572i | \(-0.232239\pi\) |
−0.949989 | + | 0.312284i | \(0.898906\pi\) | |||||||
\(80\) | −3.89111 | −0.435040 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.4941i | 1.15888i | ||||||||
\(83\) | −4.02998 | − | 6.98012i | −0.442347 | − | 0.766168i | 0.555516 | − | 0.831506i | \(-0.312521\pi\) |
−0.997863 | + | 0.0653378i | \(0.979188\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.44383 | − | 2.50079i | 0.156605 | − | 0.271249i | ||||
\(86\) | 0.816699 | + | 0.471521i | 0.0880669 | + | 0.0508454i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.97231 | + | 3.41614i | 0.210249 | + | 0.364162i | ||||
\(89\) | −9.26646 | −0.982243 | −0.491122 | − | 0.871091i | \(-0.663413\pi\) | ||||
−0.491122 | + | 0.871091i | \(0.663413\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.88766 | − | 6.96124i | −0.302709 | − | 0.729736i | ||||
\(92\) | 5.41535 | − | 3.12656i | 0.564589 | − | 0.325966i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.89248 | + | 1.09263i | 0.195195 | + | 0.112696i | ||||
\(95\) | 6.01422 | + | 3.47231i | 0.617046 | + | 0.356251i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.2983 | + | 9.40980i | −1.65484 | + | 0.955421i | −0.679794 | + | 0.733403i | \(0.737931\pi\) |
−0.975043 | + | 0.222018i | \(0.928736\pi\) | |||||||
\(98\) | 4.95487 | + | 4.94462i | 0.500517 | + | 0.499482i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.1408 | −1.01408 | ||||||||
\(101\) | 4.14079 | + | 7.17206i | 0.412024 | + | 0.713647i | 0.995111 | − | 0.0987631i | \(-0.0314886\pi\) |
−0.583087 | + | 0.812410i | \(0.698155\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.7646 | + | 8.52435i | 1.45480 | + | 0.839929i | 0.998748 | − | 0.0500247i | \(-0.0159300\pi\) |
0.456051 | + | 0.889953i | \(0.349263\pi\) | |||||||
\(104\) | −1.42425 | + | 2.46687i | −0.139659 | + | 0.241896i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 14.3369i | − | 1.38600i | −0.720936 | − | 0.693001i | \(-0.756288\pi\) | ||
0.720936 | − | 0.693001i | \(-0.243712\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.2800 | 1.08042 | 0.540212 | − | 0.841529i | \(-0.318344\pi\) | ||||
0.540212 | + | 0.841529i | \(0.318344\pi\) | |||||||
\(110\) | 7.67448 | + | 13.2926i | 0.731733 | + | 1.26740i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.343982 | − | 2.62329i | 0.0325032 | − | 0.247878i | ||||
\(113\) | 8.51501 | + | 4.91614i | 0.801024 | + | 0.462472i | 0.843829 | − | 0.536612i | \(-0.180296\pi\) |
−0.0428049 | + | 0.999083i | \(0.513629\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 21.0718 | − | 12.1658i | 1.96495 | − | 1.13447i | ||||
\(116\) | − | 2.88766i | − | 0.268113i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 0.0211346i | − | 0.00194560i | ||||||
\(119\) | 1.55833 | + | 1.19447i | 0.142852 | + | 0.109497i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.28001 | − | 3.94910i | 0.207274 | − | 0.359009i | ||||
\(122\) | 1.23456 | − | 2.13832i | 0.111772 | − | 0.193594i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.04125 | + | 1.75587i | −0.273112 | + | 0.157682i | ||||
\(125\) | −20.0033 | −1.78915 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.94462 | 0.261293 | 0.130646 | − | 0.991429i | \(-0.458295\pi\) | ||||
0.130646 | + | 0.991429i | \(0.458295\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.54191 | + | 9.59886i | −0.486057 | + | 0.841876i | ||||
\(131\) | 7.53255 | − | 13.0468i | 0.658122 | − | 1.13990i | −0.322979 | − | 0.946406i | \(-0.604684\pi\) |
0.981101 | − | 0.193495i | \(-0.0619823\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.87261 | + | 3.74768i | −0.249087 | + | 0.324965i | ||||
\(134\) | 13.4493i | 1.16184i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 0.742117i | − | 0.0636360i | ||||||
\(137\) | 13.6139 | − | 7.85997i | 1.16311 | − | 0.671523i | 0.211064 | − | 0.977472i | \(-0.432307\pi\) |
0.952048 | + | 0.305950i | \(0.0989739\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.86373 | − | 1.65337i | −0.242898 | − | 0.140237i | 0.373610 | − | 0.927586i | \(-0.378120\pi\) |
−0.616508 | + | 0.787349i | \(0.711453\pi\) | |||||||
\(140\) | 1.33847 | − | 10.2075i | 0.113122 | − | 0.862695i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.971521 | + | 1.68272i | 0.0815282 | + | 0.141211i | ||||
\(143\) | 11.2362 | 0.939620 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 11.2362i | − | 0.933118i | ||||||
\(146\) | −2.42743 | − | 4.20443i | −0.200896 | − | 0.347961i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.50079 | − | 2.59944i | 0.123364 | − | 0.213673i | ||||
\(149\) | −9.52765 | − | 5.50079i | −0.780535 | − | 0.450642i | 0.0560848 | − | 0.998426i | \(-0.482138\pi\) |
−0.836620 | + | 0.547784i | \(0.815472\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.719988 | + | 1.24706i | 0.0585918 | + | 0.101484i | 0.893834 | − | 0.448399i | \(-0.148006\pi\) |
−0.835242 | + | 0.549883i | \(0.814672\pi\) | |||||||
\(152\) | 1.78474 | 0.144761 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.63998 | + | 3.99886i | −0.776812 | + | 0.322237i | ||||
\(155\) | −11.8339 | + | 6.83228i | −0.950518 | + | 0.548782i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −14.3822 | − | 8.30354i | −1.14782 | − | 0.662695i | −0.199465 | − | 0.979905i | \(-0.563921\pi\) |
−0.948355 | + | 0.317210i | \(0.897254\pi\) | |||||||
\(158\) | −3.14898 | − | 1.81806i | −0.250519 | − | 0.144637i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.36980 | + | 1.94556i | −0.266406 | + | 0.153810i | ||||
\(161\) | 6.33909 | + | 15.2815i | 0.499591 | + | 1.20435i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.3955 | −0.970887 | −0.485444 | − | 0.874268i | \(-0.661342\pi\) | ||||
−0.485444 | + | 0.874268i | \(0.661342\pi\) | |||||||
\(164\) | 5.24705 | + | 9.08816i | 0.409726 | + | 0.709666i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.98012 | − | 4.02998i | −0.541763 | − | 0.312787i | ||||
\(167\) | −5.86087 | + | 10.1513i | −0.453528 | + | 0.785534i | −0.998602 | − | 0.0528541i | \(-0.983168\pi\) |
0.545074 | + | 0.838388i | \(0.316502\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.44304 | − | 4.23147i | −0.187926 | − | 0.325498i | ||||
\(170\) | − | 2.88766i | − | 0.221474i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.943042 | 0.0719063 | ||||||||
\(173\) | −8.38548 | − | 14.5241i | −0.637536 | − | 1.10425i | −0.985972 | − | 0.166913i | \(-0.946620\pi\) |
0.348435 | − | 0.937333i | \(-0.386713\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.48824 | − | 26.6022i | 0.263686 | − | 2.01094i | ||||
\(176\) | 3.41614 | + | 1.97231i | 0.257501 | + | 0.148668i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.02499 | + | 4.63323i | −0.601499 | + | 0.347275i | ||||
\(179\) | 5.77532i | 0.431668i | 0.976430 | + | 0.215834i | \(0.0692470\pi\) | ||||
−0.976430 | + | 0.215834i | \(0.930753\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.53310i | − | 0.411272i | −0.978629 | − | 0.205636i | \(-0.934074\pi\) | ||
0.978629 | − | 0.205636i | \(-0.0659263\pi\) | |||||||
\(182\) | −5.98141 | − | 4.58478i | −0.443371 | − | 0.339846i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.12656 | − | 5.41535i | 0.230493 | − | 0.399225i | ||||
\(185\) | 5.83974 | − | 10.1147i | 0.429346 | − | 0.743649i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.53518 | + | 1.46368i | −0.185390 | + | 0.107035i | ||||
\(188\) | 2.18525 | 0.159376 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.94462 | 0.503816 | ||||||||
\(191\) | 5.38124 | − | 3.10686i | 0.389373 | − | 0.224805i | −0.292515 | − | 0.956261i | \(-0.594492\pi\) |
0.681888 | + | 0.731456i | \(0.261159\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.90271 | − | 6.75970i | 0.280923 | − | 0.486574i | −0.690689 | − | 0.723152i | \(-0.742693\pi\) |
0.971612 | + | 0.236578i | \(0.0760260\pi\) | |||||||
\(194\) | −9.40980 | + | 16.2983i | −0.675584 | + | 1.17015i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.76335 | + | 1.80473i | 0.483097 | + | 0.128909i | ||||
\(197\) | − | 12.7737i | − | 0.910092i | −0.890468 | − | 0.455046i | \(-0.849623\pi\) | ||
0.890468 | − | 0.455046i | \(-0.150377\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 1.81201i | − | 0.128450i | −0.997935 | − | 0.0642250i | \(-0.979542\pi\) | ||
0.997935 | − | 0.0642250i | \(-0.0204575\pi\) | |||||||
\(200\) | −8.78217 | + | 5.07039i | −0.620993 | + | 0.358530i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.17206 | + | 4.14079i | 0.504624 | + | 0.291345i | ||||
\(203\) | 7.57519 | + | 0.993303i | 0.531674 | + | 0.0697162i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.4169 | + | 35.3631i | 1.42598 | + | 2.46986i | ||||
\(206\) | 17.0487 | 1.18784 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.84849i | 0.197507i | ||||||||
\(209\) | −3.52006 | − | 6.09692i | −0.243487 | − | 0.421732i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.88766 | + | 3.26953i | −0.129952 | + | 0.225083i | −0.923658 | − | 0.383218i | \(-0.874816\pi\) |
0.793706 | + | 0.608302i | \(0.208149\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.16846 | − | 12.4161i | −0.490026 | − | 0.848750i | ||||
\(215\) | 3.66949 | 0.250257 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.56002 | − | 8.58209i | −0.241670 | − | 0.582590i | ||||
\(218\) | 9.76874 | − | 5.63998i | 0.661622 | − | 0.381988i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.2926 | + | 7.67448i | 0.896187 | + | 0.517414i | ||||
\(221\) | −1.83070 | − | 1.05696i | −0.123146 | − | 0.0710987i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.0662 | + | 6.38910i | −0.741051 | + | 0.427846i | −0.822451 | − | 0.568836i | \(-0.807394\pi\) |
0.0814006 | + | 0.996681i | \(0.474061\pi\) | |||||||
\(224\) | −1.01375 | − | 2.44383i | −0.0677341 | − | 0.163285i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.83228 | 0.654034 | ||||||||
\(227\) | −9.99110 | − | 17.3051i | −0.663133 | − | 1.14858i | −0.979788 | − | 0.200039i | \(-0.935893\pi\) |
0.316655 | − | 0.948541i | \(-0.397440\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.77402 | − | 5.06568i | −0.579804 | − | 0.334750i | 0.181252 | − | 0.983437i | \(-0.441985\pi\) |
−0.761055 | + | 0.648687i | \(0.775318\pi\) | |||||||
\(230\) | 12.1658 | − | 21.0718i | 0.802188 | − | 1.38943i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.44383 | − | 2.50079i | −0.0947921 | − | 0.164185i | ||||
\(233\) | − | 7.31007i | − | 0.478898i | −0.970909 | − | 0.239449i | \(-0.923033\pi\) | ||
0.970909 | − | 0.239449i | \(-0.0769669\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.50307 | 0.554679 | ||||||||
\(236\) | −0.0105673 | − | 0.0183031i | −0.000687873 | − | 0.00119143i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.94679 | + | 0.255275i | 0.126192 | + | 0.0165470i | ||||
\(239\) | −7.28317 | − | 4.20494i | −0.471109 | − | 0.271995i | 0.245595 | − | 0.969373i | \(-0.421017\pi\) |
−0.716704 | + | 0.697378i | \(0.754350\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.75277 | − | 4.47607i | 0.499400 | − | 0.288329i | −0.229066 | − | 0.973411i | \(-0.573567\pi\) |
0.728466 | + | 0.685082i | \(0.240234\pi\) | |||||||
\(242\) | − | 4.56002i | − | 0.293129i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 2.46911i | − | 0.158069i | ||||||
\(245\) | 26.3170 | + | 7.02242i | 1.68133 | + | 0.448646i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.54191 | − | 4.40271i | 0.161738 | − | 0.280138i | ||||
\(248\) | −1.75587 | + | 3.04125i | −0.111498 | + | 0.193120i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −17.3234 | + | 10.0017i | −1.09563 | + | 0.632561i | ||||
\(251\) | 12.6432 | 0.798033 | 0.399017 | − | 0.916944i | \(-0.369352\pi\) | ||||
0.399017 | + | 0.916944i | \(0.369352\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.6661 | −1.55075 | ||||||||
\(254\) | 2.55012 | − | 1.47231i | 0.160008 | − | 0.0923809i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.15329 | + | 14.1219i | −0.508588 | + | 0.880900i | 0.491362 | + | 0.870955i | \(0.336499\pi\) |
−0.999951 | + | 0.00994523i | \(0.996834\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.30286 | + | 4.83117i | 0.391641 | + | 0.300194i | ||||
\(260\) | 11.0838i | 0.687389i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 15.0651i | − | 0.930725i | ||||||
\(263\) | −20.5434 | + | 11.8608i | −1.26676 | + | 0.731366i | −0.974374 | − | 0.224934i | \(-0.927783\pi\) |
−0.292389 | + | 0.956300i | \(0.594450\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.613917 | + | 4.68189i | −0.0376417 | + | 0.287065i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.72463 | + | 11.6474i | 0.410772 | + | 0.711478i | ||||
\(269\) | 7.28288 | 0.444045 | 0.222022 | − | 0.975042i | \(-0.428734\pi\) | ||||
0.222022 | + | 0.975042i | \(0.428734\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 22.6879i | − | 1.37819i | −0.724669 | − | 0.689097i | \(-0.758007\pi\) | ||
0.724669 | − | 0.689097i | \(-0.241993\pi\) | |||||||
\(272\) | −0.371058 | − | 0.642692i | −0.0224987 | − | 0.0389689i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.85997 | − | 13.6139i | 0.474838 | − | 0.822444i | ||||
\(275\) | 34.6423 | + | 20.0007i | 2.08901 | + | 1.20609i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.0838 | − | 20.9298i | −0.726046 | − | 1.25755i | −0.958542 | − | 0.284951i | \(-0.908023\pi\) |
0.232496 | − | 0.972597i | \(-0.425311\pi\) | |||||||
\(278\) | −3.30675 | −0.198326 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.94462 | − | 9.50923i | −0.235736 | − | 0.568285i | ||||
\(281\) | 4.11229 | − | 2.37423i | 0.245319 | − | 0.141635i | −0.372300 | − | 0.928112i | \(-0.621431\pi\) |
0.617619 | + | 0.786478i | \(0.288097\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 25.4484 | + | 14.6926i | 1.51275 | + | 0.873387i | 0.999889 | + | 0.0149153i | \(0.00474785\pi\) |
0.512861 | + | 0.858471i | \(0.328585\pi\) | |||||||
\(284\) | 1.68272 | + | 0.971521i | 0.0998513 | + | 0.0576492i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.73085 | − | 5.61811i | 0.575398 | − | 0.332206i | ||||
\(287\) | −25.6458 | + | 10.6384i | −1.51382 | + | 0.627965i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.4493 | −0.967604 | ||||||||
\(290\) | −5.61811 | − | 9.73085i | −0.329907 | − | 0.571415i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.20443 | − | 2.42743i | −0.246046 | − | 0.142055i | ||||
\(293\) | 3.31206 | − | 5.73666i | 0.193493 | − | 0.335139i | −0.752913 | − | 0.658121i | \(-0.771352\pi\) |
0.946405 | + | 0.322981i | \(0.104685\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0411186 | − | 0.0712195i | −0.00239402 | − | 0.00414656i | ||||
\(296\) | − | 3.00158i | − | 0.174463i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −11.0016 | −0.637304 | ||||||||
\(299\) | −8.90597 | − | 15.4256i | −0.515046 | − | 0.892085i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.324389 | + | 2.47388i | −0.0186975 | + | 0.142592i | ||||
\(302\) | 1.24706 | + | 0.719988i | 0.0717600 | + | 0.0414307i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.54563 | − | 0.892369i | 0.0886479 | − | 0.0511809i | ||||
\(305\) | − | 9.60761i | − | 0.550130i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.7242i | 1.23987i | 0.784655 | + | 0.619933i | \(0.212840\pi\) | ||||
−0.784655 | + | 0.619933i | \(0.787160\pi\) | |||||||
\(308\) | −6.34904 | + | 8.28311i | −0.361770 | + | 0.471974i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.83228 | + | 11.8339i | −0.388048 | + | 0.672118i | ||||
\(311\) | 3.14900 | − | 5.45422i | 0.178563 | − | 0.309281i | −0.762825 | − | 0.646605i | \(-0.776188\pi\) |
0.941389 | + | 0.337324i | \(0.109522\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.2423 | − | 11.1095i | 1.08764 | − | 0.627948i | 0.154691 | − | 0.987963i | \(-0.450562\pi\) |
0.932946 | + | 0.360015i | \(0.117229\pi\) | |||||||
\(314\) | −16.6071 | −0.937192 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.63613 | −0.204548 | ||||||||
\(317\) | −13.5632 | + | 7.83070i | −0.761784 | + | 0.439816i | −0.829936 | − | 0.557859i | \(-0.811623\pi\) |
0.0681519 | + | 0.997675i | \(0.478290\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.69536 | + | 9.86466i | −0.318879 | + | 0.552315i | ||||
\(320\) | −1.94556 | + | 3.36980i | −0.108760 | + | 0.188378i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 13.1306 | + | 10.0647i | 0.731739 | + | 0.560881i | ||||
\(323\) | 1.32448i | 0.0736963i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 28.8859i | 1.60230i | ||||||||
\(326\) | −10.7348 | + | 6.19773i | −0.594545 | + | 0.343260i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.08816 | + | 5.24705i | 0.501810 | + | 0.289720i | ||||
\(329\) | −0.751687 | + | 5.73256i | −0.0414418 | + | 0.316046i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.636129 | − | 1.10181i | −0.0349648 | − | 0.0605608i | 0.848013 | − | 0.529975i | \(-0.177799\pi\) |
−0.882978 | + | 0.469414i | \(0.844465\pi\) | |||||||
\(332\) | −8.05995 | −0.442347 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 11.7217i | 0.641386i | ||||||||
\(335\) | 26.1663 | + | 45.3214i | 1.42962 | + | 2.47617i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.78001 | + | 6.54717i | −0.205910 | + | 0.356647i | −0.950422 | − | 0.310962i | \(-0.899349\pi\) |
0.744512 | + | 0.667609i | \(0.232682\pi\) | |||||||
\(338\) | −4.23147 | − | 2.44304i | −0.230162 | − | 0.132884i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.44383 | − | 2.50079i | −0.0783027 | − | 0.135624i | ||||
\(341\) | 13.8525 | 0.750153 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.06081 | + | 17.1215i | −0.381248 | + | 0.924473i | ||||
\(344\) | 0.816699 | − | 0.471521i | 0.0440334 | − | 0.0254227i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.5241 | − | 8.38548i | −0.780820 | − | 0.450806i | ||||
\(347\) | −19.1470 | − | 11.0545i | −1.02787 | − | 0.593439i | −0.111494 | − | 0.993765i | \(-0.535564\pi\) |
−0.916373 | + | 0.400326i | \(0.868897\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.7682 | − | 7.37173i | 0.683467 | − | 0.394600i | −0.117693 | − | 0.993050i | \(-0.537550\pi\) |
0.801160 | + | 0.598450i | \(0.204217\pi\) | |||||||
\(350\) | −10.2802 | − | 24.7823i | −0.549501 | − | 1.32467i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.94462 | 0.210249 | ||||||||
\(353\) | 8.63881 | + | 14.9629i | 0.459798 | + | 0.796393i | 0.998950 | − | 0.0458154i | \(-0.0145886\pi\) |
−0.539152 | + | 0.842208i | \(0.681255\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.54767 | + | 3.78030i | 0.347514 | + | 0.200638i | ||||
\(356\) | −4.63323 | + | 8.02499i | −0.245561 | + | 0.425324i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.88766 | + | 5.00158i | 0.152618 | + | 0.264342i | ||||
\(359\) | − | 10.9129i | − | 0.575963i | −0.957636 | − | 0.287982i | \(-0.907016\pi\) | ||
0.957636 | − | 0.287982i | \(-0.0929842\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.8147 | 0.832353 | ||||||||
\(362\) | −2.76655 | − | 4.79180i | −0.145407 | − | 0.251852i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.47244 | − | 0.979830i | −0.391662 | − | 0.0513570i | ||||
\(365\) | −16.3599 | − | 9.44541i | −0.856318 | − | 0.494395i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −30.9407 | + | 17.8636i | −1.61509 | + | 0.932472i | −0.626923 | + | 0.779081i | \(0.715686\pi\) |
−0.988166 | + | 0.153391i | \(0.950981\pi\) | |||||||
\(368\) | − | 6.25311i | − | 0.325966i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 11.6795i | − | 0.607187i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.0300 | − | 27.7648i | 0.830003 | − | 1.43761i | −0.0680328 | − | 0.997683i | \(-0.521672\pi\) |
0.898035 | − | 0.439923i | \(-0.144994\pi\) | |||||||
\(374\) | −1.46368 | + | 2.53518i | −0.0756853 | + | 0.131091i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.89248 | − | 1.09263i | 0.0975974 | − | 0.0563479i | ||||
\(377\) | −8.22549 | −0.423634 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.8891 | 1.79214 | 0.896068 | − | 0.443918i | \(-0.146412\pi\) | ||||
0.896068 | + | 0.443918i | \(0.146412\pi\) | |||||||
\(380\) | 6.01422 | − | 3.47231i | 0.308523 | − | 0.178126i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.10686 | − | 5.38124i | 0.158961 | − | 0.275328i | ||||
\(383\) | −8.76711 | + | 15.1851i | −0.447978 | + | 0.775921i | −0.998254 | − | 0.0590616i | \(-0.981189\pi\) |
0.550276 | + | 0.834983i | \(0.314523\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −24.7048 | + | 32.2305i | −1.25908 | + | 1.64262i | ||||
\(386\) | − | 7.80542i | − | 0.397286i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.8196i | 0.955421i | ||||||||
\(389\) | 6.60060 | − | 3.81086i | 0.334664 | − | 0.193218i | −0.323246 | − | 0.946315i | \(-0.604774\pi\) |
0.657910 | + | 0.753097i | \(0.271441\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.01882 | + | 2.32027i | 0.203241 | + | 0.117341i | ||||
\(392\) | 6.75960 | − | 1.81873i | 0.341411 | − | 0.0918599i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.38687 | − | 11.0624i | −0.321766 | − | 0.557315i | ||||
\(395\) | −14.1486 | −0.711893 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 37.6469i | 1.88944i | 0.327873 | + | 0.944722i | \(0.393668\pi\) | ||||
−0.327873 | + | 0.944722i | \(0.606332\pi\) | |||||||
\(398\) | −0.906005 | − | 1.56925i | −0.0454139 | − | 0.0786592i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.07039 | + | 8.78217i | −0.253519 | + | 0.439108i | ||||
\(401\) | −18.5689 | − | 10.7207i | −0.927284 | − | 0.535368i | −0.0413326 | − | 0.999145i | \(-0.513160\pi\) |
−0.885952 | + | 0.463778i | \(0.846494\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.00158 | + | 8.66299i | 0.249146 | + | 0.431534i | ||||
\(404\) | 8.28158 | 0.412024 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.05696 | − | 2.92737i | 0.350231 | − | 0.145283i | ||||
\(407\) | −10.2538 | + | 5.92004i | −0.508262 | + | 0.293445i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.6086 | + | 14.7851i | 1.26627 | + | 0.731079i | 0.974279 | − | 0.225344i | \(-0.0723506\pi\) |
0.291986 | + | 0.956423i | \(0.405684\pi\) | |||||||
\(410\) | 35.3631 | + | 20.4169i | 1.74646 | + | 1.00832i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.7646 | − | 8.52435i | 0.727400 | − | 0.419964i | ||||
\(413\) | 0.0516494 | − | 0.0214252i | 0.00254150 | − | 0.00105427i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −31.3622 | −1.53951 | ||||||||
\(416\) | 1.42425 | + | 2.46687i | 0.0698294 | + | 0.120948i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.09692 | − | 3.52006i | −0.298210 | − | 0.172172i | ||||
\(419\) | 3.56481 | − | 6.17443i | 0.174152 | − | 0.301641i | −0.765715 | − | 0.643180i | \(-0.777615\pi\) |
0.939868 | + | 0.341539i | \(0.110948\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.31007 | − | 4.00115i | −0.112586 | − | 0.195004i | 0.804226 | − | 0.594323i | \(-0.202580\pi\) |
−0.916812 | + | 0.399319i | \(0.869247\pi\) | |||||||
\(422\) | 3.77532i | 0.183780i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.76282 | − | 6.51739i | −0.182524 | − | 0.316140i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.47721 | + | 0.849330i | 0.313454 | + | 0.0411020i | ||||
\(428\) | −12.4161 | − | 7.16846i | −0.600157 | − | 0.346501i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.17787 | − | 1.83474i | 0.153250 | − | 0.0884792i | ||||
\(431\) | 4.00771i | 0.193045i | 0.995331 | + | 0.0965223i | \(0.0307719\pi\) | ||||
−0.995331 | + | 0.0965223i | \(0.969228\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 29.4125i | − | 1.41348i | −0.707475 | − | 0.706738i | \(-0.750166\pi\) | ||
0.707475 | − | 0.706738i | \(-0.249834\pi\) | |||||||
\(434\) | −7.37411 | − | 5.65229i | −0.353969 | − | 0.271319i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.63998 | − | 9.76874i | 0.270106 | − | 0.467838i | ||||
\(437\) | −5.58008 | + | 9.66498i | −0.266931 | + | 0.462339i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.5130 | + | 10.6885i | −0.883575 | + | 0.510133i | −0.871836 | − | 0.489799i | \(-0.837070\pi\) |
−0.0117398 | + | 0.999931i | \(0.503737\pi\) | |||||||
\(440\) | 15.3490 | 0.731733 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.11392 | −0.100549 | ||||||||
\(443\) | −5.05227 | + | 2.91693i | −0.240041 | + | 0.138587i | −0.615195 | − | 0.788375i | \(-0.710923\pi\) |
0.375155 | + | 0.926962i | \(0.377590\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.0284 | + | 31.2262i | −0.854630 | + | 1.48026i | ||||
\(446\) | −6.38910 | + | 11.0662i | −0.302533 | + | 0.524002i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.09985 | − | 1.60954i | −0.0992086 | − | 0.0760438i | ||||
\(449\) | 22.5823i | 1.06573i | 0.846202 | + | 0.532863i | \(0.178884\pi\) | ||||
−0.846202 | + | 0.532863i | \(0.821116\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 41.3953i | − | 1.94923i | ||||||
\(452\) | 8.51501 | − | 4.91614i | 0.400512 | − | 0.231236i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −17.3051 | − | 9.99110i | −0.812168 | − | 0.468906i | ||||
\(455\) | −29.0761 | − | 3.81263i | −1.36311 | − | 0.178739i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.9311 | − | 34.5218i | −0.932340 | − | 1.61486i | −0.779310 | − | 0.626638i | \(-0.784430\pi\) |
−0.153029 | − | 0.988222i | \(-0.548903\pi\) | |||||||
\(458\) | −10.1314 | −0.473408 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 24.3316i | − | 1.13447i | ||||||
\(461\) | 3.68254 | + | 6.37834i | 0.171513 | + | 0.297069i | 0.938949 | − | 0.344056i | \(-0.111801\pi\) |
−0.767436 | + | 0.641125i | \(0.778468\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3457 | + | 24.8475i | −0.666702 | + | 1.15476i | 0.312119 | + | 0.950043i | \(0.398961\pi\) |
−0.978821 | + | 0.204718i | \(0.934372\pi\) | |||||||
\(464\) | −2.50079 | − | 1.44383i | −0.116096 | − | 0.0670282i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.65503 | − | 6.33070i | −0.169316 | − | 0.293264i | ||||
\(467\) | 13.6704 | 0.632590 | 0.316295 | − | 0.948661i | \(-0.397561\pi\) | ||||
0.316295 | + | 0.948661i | \(0.397561\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.8677 | + | 13.6342i | −1.51769 | + | 0.629569i | ||||
\(470\) | 7.36387 | − | 4.25153i | 0.339670 | − | 0.196109i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.0183031 | − | 0.0105673i | −0.000842469 | − | 0.000486400i | ||||
\(473\) | −3.22157 | − | 1.85997i | −0.148128 | − | 0.0855216i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.6739 | − | 9.04931i | 0.719166 | − | 0.415211i | ||||
\(476\) | 1.81361 | − | 0.752321i | 0.0831266 | − | 0.0344826i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.40988 | −0.384659 | ||||||||
\(479\) | −5.20537 | − | 9.01596i | −0.237839 | − | 0.411950i | 0.722255 | − | 0.691627i | \(-0.243106\pi\) |
−0.960094 | + | 0.279677i | \(0.909773\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.40449 | − | 4.27499i | −0.337616 | − | 0.194923i | ||||
\(482\) | 4.47607 | − | 7.75277i | 0.203879 | − | 0.353129i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.28001 | − | 3.94910i | −0.103637 | − | 0.179504i | ||||
\(485\) | 73.2292i | 3.32517i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.33850 | 0.105968 | 0.0529838 | − | 0.998595i | \(-0.483127\pi\) | ||||
0.0529838 | + | 0.998595i | \(0.483127\pi\) | |||||||
\(488\) | −1.23456 | − | 2.13832i | −0.0558858 | − | 0.0967970i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 26.3024 | − | 7.07690i | 1.18822 | − | 0.319702i | ||||
\(491\) | 29.3448 | + | 16.9422i | 1.32431 | + | 0.764591i | 0.984413 | − | 0.175871i | \(-0.0562742\pi\) |
0.339898 | + | 0.940462i | \(0.389608\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.85588 | − | 1.07149i | 0.0835845 | − | 0.0482575i | ||||
\(494\) | − | 5.08381i | − | 0.228732i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.51174i | 0.157682i | ||||||||
\(497\) | −3.12741 | + | 4.08010i | −0.140284 | + | 0.183017i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.30223 | − | 14.3799i | 0.371659 | − | 0.643732i | −0.618162 | − | 0.786051i | \(-0.712123\pi\) |
0.989821 | + | 0.142319i | \(0.0454558\pi\) | |||||||
\(500\) | −10.0017 | + | 17.3234i | −0.447288 | + | 0.774726i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.9494 | − | 6.32161i | 0.488694 | − | 0.282147i | ||||
\(503\) | 35.3661 | 1.57690 | 0.788449 | − | 0.615100i | \(-0.210885\pi\) | ||||
0.788449 | + | 0.615100i | \(0.210885\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.2246 | 1.43398 | ||||||||
\(506\) | −21.3615 | + | 12.3331i | −0.949635 | + | 0.548272i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.47231 | − | 2.55012i | 0.0653232 | − | 0.113143i | ||||
\(509\) | 18.5291 | − | 32.0933i | 0.821287 | − | 1.42251i | −0.0834371 | − | 0.996513i | \(-0.526590\pi\) |
0.904724 | − | 0.425998i | \(-0.140077\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.81411 | − | 10.1945i | 0.345676 | − | 0.450977i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.3066i | 0.719252i | ||||||||
\(515\) | 57.4507 | − | 33.1692i | 2.53158 | − | 1.46161i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.46513 | − | 4.30999i | −0.328316 | − | 0.189553i | ||||
\(518\) | 7.87402 | + | 1.03249i | 0.345965 | + | 0.0453649i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.54191 | + | 9.59886i | 0.243029 | + | 0.420938i | ||||
\(521\) | −1.78309 | −0.0781187 | −0.0390594 | − | 0.999237i | \(-0.512436\pi\) | ||||
−0.0390594 | + | 0.999237i | \(0.512436\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 24.0538i | − | 1.05180i | −0.850546 | − | 0.525901i | \(-0.823728\pi\) | ||
0.850546 | − | 0.525901i | \(-0.176272\pi\) | |||||||
\(524\) | −7.53255 | − | 13.0468i | −0.329061 | − | 0.569950i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.8608 | + | 20.5434i | −0.517154 | + | 0.895737i | ||||
\(527\) | −2.25696 | − | 1.30306i | −0.0983149 | − | 0.0567621i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.05069 | + | 13.9442i | 0.350030 | + | 0.606270i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.80928 | + | 4.36160i | 0.0784422 | + | 0.189099i | ||||
\(533\) | 25.8876 | − | 14.9462i | 1.12132 | − | 0.647392i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −48.3126 | − | 27.8933i | −2.08874 | − | 1.20593i | ||||
\(536\) | 11.6474 | + | 6.72463i | 0.503091 | + | 0.290460i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.30716 | − | 3.64144i | 0.271921 | − | 0.156994i | ||||
\(539\) | −19.5451 | − | 19.5046i | −0.841866 | − | 0.840124i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.0032 | 1.28994 | 0.644968 | − | 0.764209i | \(-0.276871\pi\) | ||||
0.644968 | + | 0.764209i | \(0.276871\pi\) | |||||||
\(542\) | −11.3440 | − | 19.6483i | −0.487265 | − | 0.843968i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.642692 | − | 0.371058i | −0.0275552 | − | 0.0159090i | ||||
\(545\) | 21.9458 | − | 38.0113i | 0.940056 | − | 1.62822i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.7816 | − | 18.6743i | −0.460987 | − | 0.798454i | 0.538023 | − | 0.842930i | \(-0.319171\pi\) |
−0.999010 | + | 0.0444765i | \(0.985838\pi\) | |||||||
\(548\) | − | 15.7199i | − | 0.671523i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 40.0015 | 1.70567 | ||||||||
\(551\) | 2.57686 | + | 4.46325i | 0.109778 | + | 0.190141i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.25076 | − | 9.53864i | 0.0531878 | − | 0.405624i | ||||
\(554\) | −20.9298 | − | 12.0838i | −0.889221 | − | 0.513392i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.86373 | + | 1.65337i | −0.121449 | + | 0.0701187i | ||||
\(557\) | 36.9477i | 1.56552i | 0.622321 | + | 0.782762i | \(0.286190\pi\) | ||||
−0.622321 | + | 0.782762i | \(0.713810\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 2.68625i | − | 0.113616i | ||||||
\(560\) | −8.17075 | − | 6.26292i | −0.345277 | − | 0.264657i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.37423 | − | 4.11229i | 0.100151 | − | 0.173467i | ||||
\(563\) | −7.58422 | + | 13.1363i | −0.319637 | + | 0.553627i | −0.980412 | − | 0.196957i | \(-0.936894\pi\) |
0.660776 | + | 0.750584i | \(0.270228\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 33.1329 | − | 19.1293i | 1.39391 | − | 0.804774i | ||||
\(566\) | 29.3853 | 1.23516 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.94304 | 0.0815282 | ||||||||
\(569\) | 31.8084 | − | 18.3646i | 1.33348 | − | 0.769885i | 0.347648 | − | 0.937625i | \(-0.386980\pi\) |
0.985831 | + | 0.167740i | \(0.0536470\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.61387 | + | 9.72351i | −0.234933 | + | 0.406916i | −0.959253 | − | 0.282548i | \(-0.908820\pi\) |
0.724320 | + | 0.689464i | \(0.242154\pi\) | |||||||
\(572\) | 5.61811 | − | 9.73085i | 0.234905 | − | 0.406867i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −16.8907 | + | 22.0360i | −0.705005 | + | 0.919767i | ||||
\(575\) | − | 63.4114i | − | 2.64444i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 36.5515i | 1.52166i | 0.648952 | + | 0.760829i | \(0.275208\pi\) | ||||
−0.648952 | + | 0.760829i | \(0.724792\pi\) | |||||||
\(578\) | −14.2455 | + | 8.22463i | −0.592534 | + | 0.342100i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.73085 | − | 5.61811i | −0.404052 | − | 0.233279i | ||||
\(581\) | 2.77248 | − | 21.1436i | 0.115022 | − | 0.877186i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −4.85486 | −0.200896 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 6.62413i | − | 0.273640i | ||||||
\(587\) | −4.99738 | − | 8.65571i | −0.206264 | − | 0.357259i | 0.744271 | − | 0.667878i | \(-0.232797\pi\) |
−0.950535 | + | 0.310619i | \(0.899464\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.13376 | − | 5.42784i | 0.129124 | − | 0.223650i | ||||
\(590\) | −0.0712195 | − | 0.0411186i | −0.00293206 | − | 0.00169283i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.50079 | − | 2.59944i | −0.0616820 | − | 0.106836i | ||||
\(593\) | −7.78223 | −0.319578 | −0.159789 | − | 0.987151i | \(-0.551081\pi\) | ||||
−0.159789 | + | 0.987151i | \(0.551081\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.05696 | − | 2.92737i | 0.289307 | − | 0.120010i | ||||
\(596\) | −9.52765 | + | 5.50079i | −0.390268 | + | 0.225321i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.4256 | − | 8.90597i | −0.630800 | − | 0.364192i | ||||
\(599\) | −21.6614 | − | 12.5062i | −0.885061 | − | 0.510990i | −0.0127373 | − | 0.999919i | \(-0.504055\pi\) |
−0.872324 | + | 0.488929i | \(0.837388\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 25.9925 | − | 15.0068i | 1.06026 | − | 0.612139i | 0.134753 | − | 0.990879i | \(-0.456976\pi\) |
0.925503 | + | 0.378740i | \(0.123643\pi\) | |||||||
\(602\) | 0.956010 | + | 2.30464i | 0.0389640 | + | 0.0939300i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.43998 | 0.0585918 | ||||||||
\(605\) | −8.87179 | − | 15.3664i | −0.360689 | − | 0.624732i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.96882 | + | 2.29140i | 0.161089 | + | 0.0930050i | 0.578378 | − | 0.815769i | \(-0.303686\pi\) |
−0.417288 | + | 0.908774i | \(0.637019\pi\) | |||||||
\(608\) | 0.892369 | − | 1.54563i | 0.0361903 | − | 0.0626835i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.80380 | − | 8.32043i | −0.194500 | − | 0.336884i | ||||
\(611\) | − | 6.22468i | − | 0.251823i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 30.5522 | 1.23399 | 0.616996 | − | 0.786966i | \(-0.288349\pi\) | ||||
0.616996 | + | 0.786966i | \(0.288349\pi\) | |||||||
\(614\) | 10.8621 | + | 18.8137i | 0.438359 | + | 0.759259i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.35688 | + | 10.3479i | −0.0546701 | + | 0.416929i | ||||
\(617\) | 28.2484 | + | 16.3092i | 1.13724 | + | 0.656585i | 0.945745 | − | 0.324909i | \(-0.105334\pi\) |
0.191493 | + | 0.981494i | \(0.438667\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.3244 | + | 10.0023i | −0.696327 | + | 0.402024i | −0.805978 | − | 0.591946i | \(-0.798360\pi\) |
0.109651 | + | 0.993970i | \(0.465027\pi\) | |||||||
\(620\) | 13.6646i | 0.548782i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 6.29800i | − | 0.252527i | ||||||
\(623\) | −19.4582 | − | 14.9148i | −0.779575 | − | 0.597548i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −13.5657 | + | 23.4965i | −0.542628 | + | 0.939859i | ||||
\(626\) | 11.1095 | − | 19.2423i | 0.444026 | − | 0.769076i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.3822 | + | 8.30354i | −0.573910 | + | 0.331347i | ||||
\(629\) | 2.22752 | 0.0888171 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.09634 | 0.242692 | 0.121346 | − | 0.992610i | \(-0.461279\pi\) | ||||
0.121346 | + | 0.992610i | \(0.461279\pi\) | |||||||
\(632\) | −3.14898 | + | 1.81806i | −0.125260 | + | 0.0723187i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.83070 | + | 13.5632i | −0.310997 | + | 0.538663i | ||||
\(635\) | 5.72893 | − | 9.92279i | 0.227345 | − | 0.393774i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.14076 | − | 19.2654i | 0.203685 | − | 0.763322i | ||||
\(638\) | 11.3907i | 0.450963i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.89111i | 0.153810i | ||||||||
\(641\) | −28.9612 | + | 16.7207i | −1.14390 | + | 0.660429i | −0.947393 | − | 0.320074i | \(-0.896292\pi\) |
−0.196504 | + | 0.980503i | \(0.562959\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.6022 | − | 9.58527i | −0.654726 | − | 0.378006i | 0.135539 | − | 0.990772i | \(-0.456724\pi\) |
−0.790264 | + | 0.612766i | \(0.790057\pi\) | |||||||
\(644\) | 16.4038 | + | 2.15096i | 0.646398 | + | 0.0847595i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.662242 | + | 1.14704i | 0.0260556 | + | 0.0451296i | ||||
\(647\) | −44.6049 | −1.75360 | −0.876800 | − | 0.480854i | \(-0.840327\pi\) | ||||
−0.876800 | + | 0.480854i | \(0.840327\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0833680i | 0.00327248i | ||||||||
\(650\) | 14.4430 | + | 25.0159i | 0.566500 | + | 0.981206i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.19773 | + | 10.7348i | −0.242722 | + | 0.420407i | ||||
\(653\) | 0.564755 | + | 0.326061i | 0.0221006 | + | 0.0127598i | 0.511010 | − | 0.859575i | \(-0.329272\pi\) |
−0.488909 | + | 0.872335i | \(0.662605\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −29.3100 | − | 50.7664i | −1.14524 | − | 1.98361i | ||||
\(656\) | 10.4941 | 0.409726 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.21530 | + | 5.34039i | 0.0863614 | + | 0.208190i | ||||
\(659\) | −26.2738 | + | 15.1692i | −1.02348 | + | 0.590908i | −0.915111 | − | 0.403202i | \(-0.867897\pi\) |
−0.108372 | + | 0.994110i | \(0.534564\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.1004 | + | 6.40881i | 0.431755 | + | 0.249274i | 0.700094 | − | 0.714051i | \(-0.253141\pi\) |
−0.268339 | + | 0.963325i | \(0.586475\pi\) | |||||||
\(662\) | −1.10181 | − | 0.636129i | −0.0428230 | − | 0.0247239i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.98012 | + | 4.02998i | −0.270881 | + | 0.156393i | ||||
\(665\) | 7.04011 | + | 16.9715i | 0.273004 | + | 0.658126i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.0569 | 0.699165 | ||||||||
\(668\) | 5.86087 | + | 10.1513i | 0.226764 | + | 0.392767i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 45.3214 | + | 26.1663i | 1.75092 | + | 1.01089i | ||||
\(671\) | −4.86986 | + | 8.43484i | −0.187999 | + | 0.325623i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.2246 | + | 19.4416i | 0.432678 | + | 0.749420i | 0.997103 | − | 0.0760644i | \(-0.0242355\pi\) |
−0.564425 | + | 0.825484i | \(0.690902\pi\) | |||||||
\(674\) | 7.56002i | 0.291201i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.88608 | −0.187926 | ||||||||
\(677\) | 25.5903 | + | 44.3237i | 0.983516 | + | 1.70350i | 0.648353 | + | 0.761340i | \(0.275458\pi\) |
0.335163 | + | 0.942160i | \(0.391209\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −49.3694 | − | 6.47360i | −1.89462 | − | 0.248434i | ||||
\(680\) | −2.50079 | − | 1.44383i | −0.0959009 | − | 0.0553684i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.9966 | − | 6.92623i | 0.459373 | − | 0.265219i | ||||
\(683\) | 14.5616i | 0.557184i | 0.960410 | + | 0.278592i | \(0.0898677\pi\) | ||||
−0.960410 | + | 0.278592i | \(0.910132\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 61.1681i | − | 2.33711i | ||||||
\(686\) | 2.44590 | + | 18.3580i | 0.0933847 | + | 0.700913i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.471521 | − | 0.816699i | 0.0179766 | − | 0.0311363i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.1757 | − | 12.2258i | 0.805560 | − | 0.465090i | −0.0398517 | − | 0.999206i | \(-0.512689\pi\) |
0.845412 | + | 0.534115i | \(0.179355\pi\) | |||||||
\(692\) | −16.7710 | −0.637536 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.1091 | −0.839250 | ||||||||
\(695\) | −11.1431 | + | 6.43347i | −0.422682 | + | 0.244035i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.89393 | + | 6.74448i | −0.147493 | + | 0.255465i | ||||
\(698\) | 7.37173 | − | 12.7682i | 0.279024 | − | 0.483284i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −21.2941 | − | 16.3220i | −0.804841 | − | 0.616914i | ||||
\(701\) | 2.21697i | 0.0837337i | 0.999123 | + | 0.0418669i | \(0.0133305\pi\) | ||||
−0.999123 | + | 0.0418669i | \(0.986669\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.35703i | 0.202044i | ||||||||
\(704\) | 3.41614 | − | 1.97231i | 0.128751 | − | 0.0743342i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.9629 | + | 8.63881i | 0.563135 | + | 0.325126i | ||||
\(707\) | −2.84871 | + | 21.7250i | −0.107137 | + | 0.817054i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.1962 | + | 21.1244i | 0.458036 | + | 0.793342i | 0.998857 | − | 0.0477959i | \(-0.0152197\pi\) |
−0.540821 | + | 0.841138i | \(0.681886\pi\) | |||||||
\(710\) | 7.56060 | 0.283744 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.26646i | 0.347275i | ||||||||
\(713\) | −10.9796 | − | 19.0173i | −0.411190 | − | 0.712203i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.8607 | − | 37.8639i | 0.817544 | − | 1.41603i | ||||
\(716\) | 5.00158 | + | 2.88766i | 0.186918 | + | 0.107917i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.45647 | − | 9.45088i | −0.203634 | − | 0.352704i | ||||
\(719\) | −2.22752 | −0.0830725 | −0.0415363 | − | 0.999137i | \(-0.513225\pi\) | ||||
−0.0415363 | + | 0.999137i | \(0.513225\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 17.2831 | + | 41.6641i | 0.643657 | + | 1.55165i | ||||
\(722\) | 13.6959 | − | 7.90736i | 0.509710 | − | 0.294281i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.79180 | − | 2.76655i | −0.178086 | − | 0.102818i | ||||
\(725\) | −25.3599 | − | 14.6416i | −0.941844 | − | 0.543774i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.4880 | + | 6.05523i | −0.388977 | + | 0.224576i | −0.681717 | − | 0.731616i | \(-0.738766\pi\) |
0.292740 | + | 0.956192i | \(0.405433\pi\) | |||||||
\(728\) | −6.96124 | + | 2.88766i | −0.258001 | + | 0.107024i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.8908 | −0.699180 | ||||||||
\(731\) | 0.349924 | + | 0.606086i | 0.0129424 | + | 0.0224169i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.5673 | − | 7.83306i | −0.501118 | − | 0.289321i | 0.228057 | − | 0.973648i | \(-0.426763\pi\) |
−0.729175 | + | 0.684327i | \(0.760096\pi\) | |||||||
\(734\) | −17.8636 | + | 30.9407i | −0.659357 | + | 1.14204i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12656 | − | 5.41535i | −0.115246 | − | 0.199613i | ||||
\(737\) | − | 53.0522i | − | 1.95420i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.10454 | −0.298130 | −0.149065 | − | 0.988827i | \(-0.547626\pi\) | ||||
−0.149065 | + | 0.988827i | \(0.547626\pi\) | |||||||
\(740\) | −5.83974 | − | 10.1147i | −0.214673 | − | 0.371825i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.5429 | + | 6.08697i | 0.386783 | + | 0.223309i | 0.680765 | − | 0.732502i | \(-0.261647\pi\) |
−0.293982 | + | 0.955811i | \(0.594981\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −37.0732 | + | 21.4042i | −1.35826 | + | 0.784189i | ||||
\(746\) | − | 32.0600i | − | 1.17380i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.92737i | 0.107035i | ||||||||
\(749\) | 23.0759 | − | 30.1054i | 0.843176 | − | 1.10003i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.3062 | + | 29.9752i | −0.631511 | + | 1.09381i | 0.355732 | + | 0.934588i | \(0.384232\pi\) |
−0.987243 | + | 0.159221i | \(0.949102\pi\) | |||||||
\(752\) | 1.09263 | − | 1.89248i | 0.0398440 | − | 0.0690118i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.12348 | + | 4.11274i | −0.259422 | + | 0.149777i | ||||
\(755\) | 5.60311 | 0.203918 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.0553 | −1.41949 | −0.709744 | − | 0.704459i | \(-0.751190\pi\) | ||||
−0.709744 | + | 0.704459i | \(0.751190\pi\) | |||||||
\(758\) | 30.2149 | − | 17.4446i | 1.09745 | − | 0.633615i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.47231 | − | 6.01422i | 0.125954 | − | 0.218159i | ||||
\(761\) | 5.11262 | − | 8.85532i | 0.185332 | − | 0.321005i | −0.758356 | − | 0.651840i | \(-0.773997\pi\) |
0.943688 | + | 0.330835i | \(0.107330\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 23.6862 | + | 18.1556i | 0.857499 | + | 0.657277i | ||||
\(764\) | − | 6.21372i | − | 0.224805i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 17.5342i | 0.633537i | ||||||||
\(767\) | −0.0521363 | + | 0.0301009i | −0.00188253 | + | 0.00108688i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.6746 | + | 15.4006i | 0.961910 | + | 0.555359i | 0.896760 | − | 0.442517i | \(-0.145914\pi\) |
0.0651494 | + | 0.997876i | \(0.479248\pi\) | |||||||
\(770\) | −5.27976 | + | 40.2649i | −0.190269 | + | 1.45105i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.90271 | − | 6.75970i | −0.140462 | − | 0.243287i | ||||
\(773\) | −35.7833 | −1.28704 | −0.643518 | − | 0.765431i | \(-0.722526\pi\) | ||||
−0.643518 | + | 0.765431i | \(0.722526\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.6117i | 1.27921i | ||||||||
\(776\) | 9.40980 | + | 16.2983i | 0.337792 | + | 0.585073i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.81086 | − | 6.60060i | 0.136626 | − | 0.236643i | ||||
\(779\) | −16.2200 | − | 9.36461i | −0.581141 | − | 0.335522i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.83228 | − | 6.63771i | −0.137130 | − | 0.237516i | ||||
\(782\) | 4.64054 | 0.165945 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.94462 | − | 4.95487i | 0.176594 | − | 0.176960i | ||||
\(785\) | −55.9626 | + | 32.3100i | −1.99739 | + | 1.15319i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.2859 | − | 7.67064i | −0.473592 | − | 0.273429i | 0.244150 | − | 0.969737i | \(-0.421491\pi\) |
−0.717742 | + | 0.696309i | \(0.754824\pi\) | |||||||
\(788\) | −11.0624 | − | 6.38687i | −0.394081 | − | 0.227523i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.2530 | + | 7.07430i | −0.435944 | + | 0.251692i | ||||
\(791\) | 9.96748 | + | 24.0284i | 0.354403 | + | 0.854353i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.03326 | −0.249758 | ||||||||
\(794\) | 18.8234 | + | 32.6032i | 0.668019 | + | 1.15704i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.56925 | − | 0.906005i | −0.0556205 | − | 0.0321125i | ||||
\(797\) | −17.5200 | + | 30.3455i | −0.620590 | + | 1.07489i | 0.368786 | + | 0.929514i | \(0.379774\pi\) |
−0.989376 | + | 0.145379i | \(0.953560\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.810856 | + | 1.40444i | 0.0286860 | + | 0.0496857i | ||||
\(800\) | 10.1408i | 0.358530i | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.4415 | −0.757124 | ||||||||
\(803\) | 9.57529 | + | 16.5849i | 0.337905 | + | 0.585268i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 63.8289 | + | 8.36961i | 2.24967 | + | 0.294990i | ||||
\(806\) | 8.66299 | + | 5.00158i | 0.305141 | + | 0.176173i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.17206 | − | 4.14079i | 0.252312 | − | 0.145673i | ||||
\(809\) | − | 27.2925i | − | 0.959553i | −0.877391 | − | 0.479777i | \(-0.840718\pi\) | ||
0.877391 | − | 0.479777i | \(-0.159282\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.7628i | 0.974883i | 0.873156 | + | 0.487442i | \(0.162070\pi\) | ||||
−0.873156 | + | 0.487442i | \(0.837930\pi\) | |||||||
\(812\) | 4.64782 | − | 6.06365i | 0.163107 | − | 0.212793i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −5.92004 | + | 10.2538i | −0.207497 | + | 0.359396i | ||||
\(815\) | −24.1161 | + | 41.7703i | −0.844749 | + | 1.46315i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.45759 | + | 0.841542i | −0.0509947 | + | 0.0294418i | ||||
\(818\) | 29.5703 | 1.03390 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 40.8338 | 1.42598 | ||||||||
\(821\) | 38.4968 | − | 22.2262i | 1.34355 | − | 0.775698i | 0.356223 | − | 0.934401i | \(-0.384064\pi\) |
0.987326 | + | 0.158703i | \(0.0507311\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 25.5577 | − | 44.2672i | 0.890884 | − | 1.54306i | 0.0520663 | − | 0.998644i | \(-0.483419\pi\) |
0.838818 | − | 0.544413i | \(-0.183247\pi\) | |||||||
\(824\) | 8.52435 | − | 14.7646i | 0.296960 | − | 0.514349i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.0340171 | − | 0.0443795i | 0.00118361 | − | 0.00154416i | ||||
\(827\) | 14.5414i | 0.505653i | 0.967512 | + | 0.252826i | \(0.0813601\pi\) | ||||
−0.967512 | + | 0.252826i | \(0.918640\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 27.9681i | − | 0.971373i | −0.874133 | − | 0.485686i | \(-0.838570\pi\) | ||
0.874133 | − | 0.485686i | \(-0.161430\pi\) | |||||||
\(830\) | −27.1605 | + | 15.6811i | −0.942754 | + | 0.544299i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.46687 | + | 1.42425i | 0.0855233 | + | 0.0493769i | ||||
\(833\) | 1.34971 | + | 5.01641i | 0.0467648 | + | 0.173808i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.8053 | + | 39.5000i | 0.789211 | + | 1.36695i | ||||
\(836\) | −7.04011 | −0.243487 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 7.12962i | − | 0.246289i | ||||||
\(839\) | −0.499354 | − | 0.864906i | −0.0172396 | − | 0.0298599i | 0.857277 | − | 0.514856i | \(-0.172154\pi\) |
−0.874517 | + | 0.484996i | \(0.838821\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3307 | + | 17.8933i | −0.356231 | + | 0.617011i | ||||
\(842\) | −4.00115 | − | 2.31007i | −0.137889 | − | 0.0796102i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.88766 | + | 3.26953i | 0.0649760 | + | 0.112542i | ||||
\(845\) | −19.0123 | −0.654044 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.1439 | − | 4.62273i | 0.382910 | − | 0.158839i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −6.51739 | − | 3.76282i | −0.223545 | − | 0.129064i | ||||
\(851\) | 16.2546 | + | 9.38460i | 0.557200 | + | 0.321700i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.48739 | + | 4.90020i | −0.290603 | + | 0.167780i | −0.638214 | − | 0.769859i | \(-0.720326\pi\) |
0.347611 | + | 0.937639i | \(0.386993\pi\) | |||||||
\(854\) | 6.03410 | − | 2.50307i | 0.206483 | − | 0.0856531i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.3369 | −0.490026 | ||||||||
\(857\) | 3.85002 | + | 6.66842i | 0.131514 | + | 0.227789i | 0.924260 | − | 0.381763i | \(-0.124683\pi\) |
−0.792746 | + | 0.609552i | \(0.791349\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.4022 | + | 9.46979i | 0.559634 | + | 0.323105i | 0.752999 | − | 0.658022i | \(-0.228607\pi\) |
−0.193364 | + | 0.981127i | \(0.561940\pi\) | |||||||
\(860\) | 1.83474 | − | 3.17787i | 0.0625642 | − | 0.108364i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.00385 | + | 3.47078i | 0.0682515 | + | 0.118215i | ||||
\(863\) | − | 17.4540i | − | 0.594141i | −0.954856 | − | 0.297070i | \(-0.903990\pi\) | ||
0.954856 | − | 0.297070i | \(-0.0960096\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −65.2578 | −2.21883 | ||||||||
\(866\) | −14.7063 | − | 25.4720i | −0.499740 | − | 0.865574i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −9.21232 | − | 1.20797i | −0.312686 | − | 0.0410013i | ||||
\(869\) | 12.4215 | + | 7.17157i | 0.421371 | + | 0.243279i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 33.1776 | − | 19.1551i | 1.12418 | − | 0.649045i | ||||
\(872\) | − | 11.2800i | − | 0.381988i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.1602i | 0.377498i | ||||||||
\(875\) | −42.0040 | − | 32.1963i | −1.41999 | − | 1.08843i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.196152 | + | 0.339746i | −0.00662360 | + | 0.0114724i | −0.869318 | − | 0.494253i | \(-0.835442\pi\) |
0.862695 | + | 0.505725i | \(0.168775\pi\) | |||||||
\(878\) | −10.6885 | + | 18.5130i | −0.360718 | + | 0.624782i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 13.2926 | − | 7.67448i | 0.448093 | − | 0.258707i | ||||
\(881\) | 37.0259 | 1.24744 | 0.623718 | − | 0.781650i | \(-0.285622\pi\) | ||||
0.623718 | + | 0.781650i | \(0.285622\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.9586 | −1.00819 | −0.504094 | − | 0.863649i | \(-0.668174\pi\) | ||||
−0.504094 | + | 0.863649i | \(0.668174\pi\) | |||||||
\(884\) | −1.83070 | + | 1.05696i | −0.0615732 | + | 0.0355493i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.91693 | + | 5.05227i | −0.0979962 | + | 0.169734i | ||||
\(887\) | −14.4930 | + | 25.1026i | −0.486626 | + | 0.842861i | −0.999882 | − | 0.0153745i | \(-0.995106\pi\) |
0.513256 | + | 0.858236i | \(0.328439\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.18326 | + | 4.73950i | 0.207380 | + | 0.158958i | ||||
\(890\) | 36.0569i | 1.20863i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.7782i | 0.427846i | ||||||||
\(893\) | −3.37759 | + | 1.95005i | −0.113027 | + | 0.0652560i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.4617 | + | 11.2362i | 0.650533 | + | 0.375586i | ||||
\(896\) | −2.62329 | − | 0.343982i | −0.0876381 | − | 0.0114916i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 11.2912 | + | 19.5569i | 0.376791 | + | 0.652621i | ||||
\(899\) | −10.1407 | −0.338211 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −20.6976 | − | 35.8493i | −0.689156 | − | 1.19365i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.91614 | − | 8.51501i | 0.163508 | − | 0.283205i | ||||
\(905\) | −18.6455 | − | 10.7650i | −0.619796 | − | 0.357839i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.94773 | + | 3.37357i | 0.0646733 | + | 0.112017i | 0.896549 | − | 0.442945i | \(-0.146066\pi\) |
−0.831876 | + | 0.554962i | \(0.812733\pi\) | |||||||
\(908\) | −19.9822 | −0.663133 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −27.0870 | + | 11.2362i | −0.897924 | + | 0.372477i | ||||
\(911\) | −1.32768 | + | 0.766538i | −0.0439881 | + | 0.0253966i | −0.521833 | − | 0.853048i | \(-0.674752\pi\) |
0.477845 | + | 0.878444i | \(0.341418\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 27.5339 | + | 15.8967i | 0.911240 | + | 0.526105i | ||||
\(914\) | −34.5218 | − | 19.9311i | −1.14188 | − | 0.659264i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.77402 | + | 5.06568i | −0.289902 | + | 0.167375i | ||||
\(917\) | 36.8166 | − | 15.2723i | 1.21579 | − | 0.504334i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.2531 | 0.931984 | 0.465992 | − | 0.884789i | \(-0.345698\pi\) | ||||
0.465992 | + | 0.884789i | \(0.345698\pi\) | |||||||
\(920\) | −12.1658 | − | 21.0718i | −0.401094 | − | 0.694715i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 6.37834 | + | 3.68254i | 0.210059 | + | 0.121278i | ||||
\(923\) | 2.76737 | − | 4.79323i | 0.0910892 | − | 0.157771i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.2192 | − | 26.3603i | −0.500403 | − | 0.866723i | ||||
\(926\) | 28.6914i | 0.942859i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.88766 | −0.0947921 | ||||||||
\(929\) | 1.64363 | + | 2.84685i | 0.0539257 | + | 0.0934021i | 0.891728 | − | 0.452571i | \(-0.149493\pi\) |
−0.837802 | + | 0.545974i | \(0.816160\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.0641 | + | 3.24596i | −0.395385 | + | 0.106382i | ||||
\(932\) | −6.33070 | − | 3.65503i | −0.207369 | − | 0.119725i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 11.8389 | − | 6.83519i | 0.387380 | − | 0.223654i | ||||
\(935\) | 11.3907i | 0.372517i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 35.5084i | − | 1.16001i | −0.814613 | − | 0.580005i | \(-0.803051\pi\) | ||
0.814613 | − | 0.580005i | \(-0.196949\pi\) | |||||||
\(938\) | −21.6472 | + | 28.2414i | −0.706806 | + | 0.922115i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.25153 | − | 7.36387i | 0.138670 | − | 0.240183i | ||||
\(941\) | 6.24941 | − | 10.8243i | 0.203725 | − | 0.352862i | −0.746001 | − | 0.665945i | \(-0.768028\pi\) |
0.949726 | + | 0.313083i | \(0.101362\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −56.8293 | + | 32.8104i | −1.85062 | + | 1.06845i | ||||
\(944\) | −0.0211346 | −0.000687873 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.71994 | −0.120946 | ||||||||
\(947\) | −31.2769 | + | 18.0577i | −1.01636 | + | 0.586796i | −0.913048 | − | 0.407852i | \(-0.866278\pi\) |
−0.103313 | + | 0.994649i | \(0.532944\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.91452 | + | 11.9763i | −0.224455 | + | 0.388767i | ||||
\(950\) | 9.04931 | − | 15.6739i | 0.293598 | − | 0.508527i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.19447 | − | 1.55833i | 0.0387130 | − | 0.0505059i | ||||
\(953\) | − | 45.2925i | − | 1.46717i | −0.679599 | − | 0.733584i | \(-0.737846\pi\) | ||
0.679599 | − | 0.733584i | \(-0.262154\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 24.1783i | − | 0.782392i | ||||||
\(956\) | −7.28317 | + | 4.20494i | −0.235554 | + | 0.135997i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9.01596 | − | 5.20537i | −0.291293 | − | 0.168178i | ||||
\(959\) | 41.2380 | + | 5.40737i | 1.33165 | + | 0.174613i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.33386 | − | 16.1667i | −0.301092 | − | 0.521507i | ||||
\(962\) | −8.54997 | −0.275662 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 8.95213i | − | 0.288329i | ||||||
\(965\) | −15.1859 | − | 26.3028i | −0.488851 | − | 0.846716i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0000 | − | 20.7845i | 0.385893 | − | 0.668385i | −0.606000 | − | 0.795465i | \(-0.707227\pi\) |
0.991893 | + | 0.127079i | \(0.0405602\pi\) | |||||||
\(968\) | −3.94910 | − | 2.28001i | −0.126929 | − | 0.0732824i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 36.6146 | + | 63.4184i | 1.17562 | + | 2.03624i | ||||
\(971\) | −33.3626 | −1.07066 | −0.535328 | − | 0.844644i | \(-0.679812\pi\) | ||||
−0.535328 | + | 0.844644i | \(0.679812\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.35222 | − | 8.08113i | −0.107467 | − | 0.259069i | ||||
\(974\) | 2.02520 | − | 1.16925i | 0.0648917 | − | 0.0374652i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.13832 | − | 1.23456i | −0.0684458 | − | 0.0395172i | ||||
\(977\) | 29.8846 | + | 17.2539i | 0.956091 | + | 0.552000i | 0.894968 | − | 0.446131i | \(-0.147198\pi\) |
0.0611236 | + | 0.998130i | \(0.480532\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 31.6555 | − | 18.2763i | 1.01172 | − | 0.584114i | ||||
\(980\) | 19.2401 | − | 19.2800i | 0.614602 | − | 0.615876i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 33.8844 | 1.08130 | ||||||||
\(983\) | −1.20651 | − | 2.08973i | −0.0384817 | − | 0.0666522i | 0.846143 | − | 0.532956i | \(-0.178919\pi\) |
−0.884625 | + | 0.466304i | \(0.845585\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −43.0450 | − | 24.8521i | −1.37153 | − | 0.791852i | ||||
\(986\) | 1.07149 | − | 1.85588i | 0.0341232 | − | 0.0591032i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.54191 | − | 4.40271i | −0.0808688 | − | 0.140069i | ||||
\(989\) | 5.89695i | 0.187512i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 48.5982 | 1.54377 | 0.771887 | − | 0.635760i | \(-0.219313\pi\) | ||||
0.771887 | + | 0.635760i | \(0.219313\pi\) | |||||||
\(992\) | 1.75587 | + | 3.04125i | 0.0557488 | + | 0.0965598i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.668371 | + | 5.09717i | −0.0211994 | + | 0.161673i | ||||
\(995\) | −6.10612 | − | 3.52537i | −0.193577 | − | 0.111762i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.8449 | + | 22.4271i | −1.23023 | + | 0.710274i | −0.967078 | − | 0.254481i | \(-0.918095\pi\) |
−0.263152 | + | 0.964754i | \(0.584762\pi\) | |||||||
\(998\) | − | 16.6045i | − | 0.525605i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))