Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(41,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, 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("126.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.m (of order \(6\), degree \(2\), 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: | \(1.00611506547\) |
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: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 83.4 | ||
Root | \(-1.62181 - 0.608059i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.83 |
Dual form | 126.2.m.a.41.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 1.62181 | + | 0.608059i | 0.936352 | + | 0.351063i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.94556 | − | 3.36980i | −0.870080 | − | 1.50702i | −0.861913 | − | 0.507056i | \(-0.830734\pi\) |
−0.00816625 | − | 0.999967i | \(-0.502599\pi\) | |||||||
\(6\) | −1.10050 | − | 1.33750i | −0.449277 | − | 0.546032i | ||||
\(7\) | 2.09985 | − | 1.60954i | 0.793668 | − | 0.608351i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.26053 | + | 1.97231i | 0.753510 | + | 0.657437i | ||||
\(10\) | 3.89111i | 1.23048i | ||||||||
\(11\) | 3.41614 | + | 1.97231i | 1.03001 | + | 0.594674i | 0.916986 | − | 0.398919i | \(-0.130615\pi\) |
0.113019 | + | 0.993593i | \(0.463948\pi\) | |||||||
\(12\) | 0.284310 | + | 1.70856i | 0.0820733 | + | 0.493218i | ||||
\(13\) | −2.46687 | + | 1.42425i | −0.684186 | + | 0.395015i | −0.801430 | − | 0.598088i | \(-0.795927\pi\) |
0.117244 | + | 0.993103i | \(0.462594\pi\) | |||||||
\(14\) | −2.62329 | + | 0.343982i | −0.701105 | + | 0.0919330i | ||||
\(15\) | −1.10628 | − | 6.64819i | −0.285641 | − | 1.71656i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −0.742117 | −0.179990 | −0.0899949 | − | 0.995942i | \(-0.528685\pi\) | ||||
−0.0899949 | + | 0.995942i | \(0.528685\pi\) | |||||||
\(18\) | −0.971521 | − | 2.83834i | −0.228990 | − | 0.669002i | ||||
\(19\) | − | 1.78474i | − | 0.409447i | −0.978820 | − | 0.204723i | \(-0.934370\pi\) | ||
0.978820 | − | 0.204723i | \(-0.0656295\pi\) | |||||||
\(20\) | 1.94556 | − | 3.36980i | 0.435040 | − | 0.753511i | ||||
\(21\) | 4.38425 | − | 1.33354i | 0.956722 | − | 0.291003i | ||||
\(22\) | −1.97231 | − | 3.41614i | −0.420498 | − | 0.728324i | ||||
\(23\) | −5.41535 | + | 3.12656i | −1.12918 | + | 0.651932i | −0.943728 | − | 0.330722i | \(-0.892708\pi\) |
−0.185451 | + | 0.982654i | \(0.559374\pi\) | |||||||
\(24\) | 0.608059 | − | 1.62181i | 0.124119 | − | 0.331050i | ||||
\(25\) | −5.07039 | + | 8.78217i | −1.01408 | + | 1.75643i | ||||
\(26\) | 2.84849 | 0.558636 | ||||||||
\(27\) | 2.46687 | + | 4.57324i | 0.474749 | + | 0.880121i | ||||
\(28\) | 2.44383 | + | 1.01375i | 0.461841 | + | 0.191581i | ||||
\(29\) | −2.50079 | − | 1.44383i | −0.464385 | − | 0.268113i | 0.249501 | − | 0.968374i | \(-0.419733\pi\) |
−0.713886 | + | 0.700262i | \(0.753067\pi\) | |||||||
\(30\) | −2.36603 | + | 6.31064i | −0.431975 | + | 1.15216i | ||||
\(31\) | −3.04125 | + | 1.75587i | −0.546225 | + | 0.315363i | −0.747598 | − | 0.664152i | \(-0.768793\pi\) |
0.201373 | + | 0.979515i | \(0.435460\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 4.34105 | + | 5.27592i | 0.755680 | + | 0.918420i | ||||
\(34\) | 0.642692 | + | 0.371058i | 0.110221 | + | 0.0636360i | ||||
\(35\) | −9.50923 | − | 3.94462i | −1.60735 | − | 0.666762i | ||||
\(36\) | −0.577806 | + | 2.94383i | −0.0963009 | + | 0.490638i | ||||
\(37\) | 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 | ||||
\(39\) | −4.86681 | + | 0.809856i | −0.779314 | + | 0.129681i | ||||
\(40\) | −3.36980 | + | 1.94556i | −0.532813 | + | 0.307620i | ||||
\(41\) | 5.24705 | + | 9.08816i | 0.819452 | + | 1.41933i | 0.906087 | + | 0.423092i | \(0.139055\pi\) |
−0.0866345 | + | 0.996240i | \(0.527611\pi\) | |||||||
\(42\) | −4.46364 | − | 1.03724i | −0.688755 | − | 0.160050i | ||||
\(43\) | 0.471521 | − | 0.816699i | 0.0719063 | − | 0.124545i | −0.827830 | − | 0.560978i | \(-0.810425\pi\) |
0.899737 | + | 0.436433i | \(0.143758\pi\) | |||||||
\(44\) | 3.94462i | 0.594674i | ||||||||
\(45\) | 2.24831 | − | 11.4548i | 0.335158 | − | 1.70758i | ||||
\(46\) | 6.25311 | 0.921971 | ||||||||
\(47\) | −1.09263 | + | 1.89248i | −0.159376 | + | 0.276047i | −0.934644 | − | 0.355585i | \(-0.884282\pi\) |
0.775268 | + | 0.631633i | \(0.217615\pi\) | |||||||
\(48\) | −1.33750 | + | 1.10050i | −0.193051 | + | 0.158843i | ||||
\(49\) | 1.81873 | − | 6.75960i | 0.259819 | − | 0.965657i | ||||
\(50\) | 8.78217 | − | 5.07039i | 1.24199 | − | 0.717061i | ||||
\(51\) | −1.20357 | − | 0.451251i | −0.168534 | − | 0.0631877i | ||||
\(52\) | −2.46687 | − | 1.42425i | −0.342093 | − | 0.197507i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 0.150252 | − | 5.19398i | 0.0204467 | − | 0.706811i | ||||
\(55\) | − | 15.3490i | − | 2.06965i | ||||||
\(56\) | −1.60954 | − | 2.09985i | −0.215084 | − | 0.280604i | ||||
\(57\) | 1.08523 | − | 2.89450i | 0.143742 | − | 0.383386i | ||||
\(58\) | 1.44383 | + | 2.50079i | 0.189584 | + | 0.328370i | ||||
\(59\) | −0.0105673 | − | 0.0183031i | −0.00137575 | − | 0.00238286i | 0.865337 | − | 0.501191i | \(-0.167105\pi\) |
−0.866712 | + | 0.498808i | \(0.833771\pi\) | |||||||
\(60\) | 5.20436 | − | 4.28217i | 0.671880 | − | 0.552825i | ||||
\(61\) | 2.13832 | + | 1.23456i | 0.273783 | + | 0.158069i | 0.630606 | − | 0.776103i | \(-0.282807\pi\) |
−0.356822 | + | 0.934172i | \(0.616140\pi\) | |||||||
\(62\) | 3.51174 | 0.445991 | ||||||||
\(63\) | 7.92129 | + | 0.503130i | 0.997989 | + | 0.0633885i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 9.59886 | + | 5.54191i | 1.19059 | + | 0.687389i | ||||
\(66\) | −1.12150 | − | 6.73961i | −0.138047 | − | 0.829588i | ||||
\(67\) | −6.72463 | − | 11.6474i | −0.821544 | − | 1.42296i | −0.904532 | − | 0.426406i | \(-0.859779\pi\) |
0.0829874 | − | 0.996551i | \(-0.473554\pi\) | |||||||
\(68\) | −0.371058 | − | 0.642692i | −0.0449974 | − | 0.0779379i | ||||
\(69\) | −10.6838 | + | 1.77782i | −1.28618 | + | 0.214025i | ||||
\(70\) | 6.26292 | + | 8.17075i | 0.748562 | + | 0.976592i | ||||
\(71\) | 1.94304i | 0.230597i | 0.993331 | + | 0.115298i | \(0.0367824\pi\) | ||||
−0.993331 | + | 0.115298i | \(0.963218\pi\) | |||||||
\(72\) | 1.97231 | − | 2.26053i | 0.232439 | − | 0.266406i | ||||
\(73\) | 4.85486i | 0.568218i | 0.958792 | + | 0.284109i | \(0.0916978\pi\) | ||||
−0.958792 | + | 0.284109i | \(0.908302\pi\) | |||||||
\(74\) | −2.59944 | − | 1.50079i | −0.302179 | − | 0.174463i | ||||
\(75\) | −13.5633 | + | 11.1599i | −1.56615 | + | 1.28863i | ||||
\(76\) | 1.54563 | − | 0.892369i | 0.177296 | − | 0.102362i | ||||
\(77\) | 10.3479 | − | 1.35688i | 1.17925 | − | 0.154630i | ||||
\(78\) | 4.61971 | + | 1.73205i | 0.523079 | + | 0.196116i | ||||
\(79\) | −1.81806 | + | 3.14898i | −0.204548 | + | 0.354288i | −0.949989 | − | 0.312284i | \(-0.898906\pi\) |
0.745440 | + | 0.666572i | \(0.232239\pi\) | |||||||
\(80\) | 3.89111 | 0.435040 | ||||||||
\(81\) | 1.21999 | + | 8.91693i | 0.135554 | + | 0.990770i | ||||
\(82\) | − | 10.4941i | − | 1.15888i | ||||||
\(83\) | 4.02998 | − | 6.98012i | 0.442347 | − | 0.766168i | −0.555516 | − | 0.831506i | \(-0.687479\pi\) |
0.997863 | + | 0.0653378i | \(0.0208125\pi\) | |||||||
\(84\) | 3.34701 | + | 3.13010i | 0.365188 | + | 0.341522i | ||||
\(85\) | 1.44383 | + | 2.50079i | 0.156605 | + | 0.271249i | ||||
\(86\) | −0.816699 | + | 0.471521i | −0.0880669 | + | 0.0508454i | ||||
\(87\) | −3.17787 | − | 3.86224i | −0.340703 | − | 0.414076i | ||||
\(88\) | 1.97231 | − | 3.41614i | 0.210249 | − | 0.364162i | ||||
\(89\) | 9.26646 | 0.982243 | 0.491122 | − | 0.871091i | \(-0.336587\pi\) | ||||
0.491122 | + | 0.871091i | \(0.336587\pi\) | |||||||
\(90\) | −7.67448 | + | 8.79598i | −0.808962 | + | 0.927178i | ||||
\(91\) | −2.88766 | + | 6.96124i | −0.302709 | + | 0.729736i | ||||
\(92\) | −5.41535 | − | 3.12656i | −0.564589 | − | 0.325966i | ||||
\(93\) | −6.00000 | + | 0.998423i | −0.622171 | + | 0.103532i | ||||
\(94\) | 1.89248 | − | 1.09263i | 0.195195 | − | 0.112696i | ||||
\(95\) | −6.01422 | + | 3.47231i | −0.617046 | + | 0.356251i | ||||
\(96\) | 1.70856 | − | 0.284310i | 0.174379 | − | 0.0290173i | ||||
\(97\) | −16.2983 | − | 9.40980i | −1.65484 | − | 0.955421i | −0.975043 | − | 0.222018i | \(-0.928736\pi\) |
−0.679794 | − | 0.733403i | \(-0.737931\pi\) | |||||||
\(98\) | −4.95487 | + | 4.94462i | −0.500517 | + | 0.499482i | ||||
\(99\) | 3.83228 | + | 11.1962i | 0.385159 | + | 1.12526i | ||||
\(100\) | −10.1408 | −1.01408 | ||||||||
\(101\) | −4.14079 | + | 7.17206i | −0.412024 | + | 0.713647i | −0.995111 | − | 0.0987631i | \(-0.968511\pi\) |
0.583087 | + | 0.812410i | \(0.301845\pi\) | |||||||
\(102\) | 0.816699 | + | 0.992580i | 0.0808652 | + | 0.0982801i | ||||
\(103\) | 14.7646 | − | 8.52435i | 1.45480 | − | 0.839929i | 0.456051 | − | 0.889953i | \(-0.349263\pi\) |
0.998748 | + | 0.0500247i | \(0.0159300\pi\) | |||||||
\(104\) | 1.42425 | + | 2.46687i | 0.139659 | + | 0.241896i | ||||
\(105\) | −13.0236 | − | 12.1796i | −1.27097 | − | 1.18861i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 14.3369i | − | 1.38600i | −0.720936 | − | 0.693001i | \(-0.756288\pi\) | ||
0.720936 | − | 0.693001i | \(-0.243712\pi\) | |||||||
\(108\) | −2.72711 | + | 4.42299i | −0.262416 | + | 0.425603i | ||||
\(109\) | 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 | ||||
\(111\) | 4.86799 | + | 1.82513i | 0.462049 | + | 0.173234i | ||||
\(112\) | 0.343982 | + | 2.62329i | 0.0325032 | + | 0.247878i | ||||
\(113\) | −8.51501 | + | 4.91614i | −0.801024 | + | 0.462472i | −0.843829 | − | 0.536612i | \(-0.819704\pi\) |
0.0428049 | + | 0.999083i | \(0.486371\pi\) | |||||||
\(114\) | −2.38708 | + | 1.96410i | −0.223571 | + | 0.183955i | ||||
\(115\) | 21.0718 | + | 12.1658i | 1.96495 | + | 1.13447i | ||||
\(116\) | − | 2.88766i | − | 0.268113i | ||||||
\(117\) | −8.38548 | − | 1.64588i | −0.775238 | − | 0.152161i | ||||
\(118\) | 0.0211346i | 0.00194560i | ||||||||
\(119\) | −1.55833 | + | 1.19447i | −0.142852 | + | 0.109497i | ||||
\(120\) | −6.64819 | + | 1.10628i | −0.606894 | + | 0.100989i | ||||
\(121\) | 2.28001 | + | 3.94910i | 0.207274 | + | 0.359009i | ||||
\(122\) | −1.23456 | − | 2.13832i | −0.111772 | − | 0.193594i | ||||
\(123\) | 2.98358 | + | 17.9298i | 0.269021 | + | 1.61667i | ||||
\(124\) | −3.04125 | − | 1.75587i | −0.273112 | − | 0.157682i | ||||
\(125\) | 20.0033 | 1.78915 | ||||||||
\(126\) | −6.60847 | − | 4.39637i | −0.588730 | − | 0.391660i | ||||
\(127\) | 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 | ||||
\(129\) | 1.26132 | − | 1.03782i | 0.111053 | − | 0.0913747i | ||||
\(130\) | −5.54191 | − | 9.59886i | −0.486057 | − | 0.841876i | ||||
\(131\) | −7.53255 | − | 13.0468i | −0.658122 | − | 1.13990i | −0.981101 | − | 0.193495i | \(-0.938018\pi\) |
0.322979 | − | 0.946406i | \(-0.395316\pi\) | |||||||
\(132\) | −2.39856 | + | 6.39742i | −0.208768 | + | 0.556824i | ||||
\(133\) | −2.87261 | − | 3.74768i | −0.249087 | − | 0.324965i | ||||
\(134\) | 13.4493i | 1.16184i | ||||||||
\(135\) | 10.6115 | − | 17.2104i | 0.913293 | − | 1.48123i | ||||
\(136\) | 0.742117i | 0.0636360i | ||||||||
\(137\) | −13.6139 | − | 7.85997i | −1.16311 | − | 0.671523i | −0.211064 | − | 0.977472i | \(-0.567693\pi\) |
−0.952048 | + | 0.305950i | \(0.901026\pi\) | |||||||
\(138\) | 10.1414 | + | 3.80226i | 0.863289 | + | 0.323670i | ||||
\(139\) | −2.86373 | + | 1.65337i | −0.242898 | + | 0.140237i | −0.616508 | − | 0.787349i | \(-0.711453\pi\) |
0.373610 | + | 0.927586i | \(0.378120\pi\) | |||||||
\(140\) | −1.33847 | − | 10.2075i | −0.113122 | − | 0.862695i | ||||
\(141\) | −2.92277 | + | 2.40487i | −0.246142 | + | 0.202526i | ||||
\(142\) | 0.971521 | − | 1.68272i | 0.0815282 | − | 0.141211i | ||||
\(143\) | −11.2362 | −0.939620 | ||||||||
\(144\) | −2.83834 | + | 0.971521i | −0.236528 | + | 0.0809601i | ||||
\(145\) | 11.2362i | 0.933118i | ||||||||
\(146\) | 2.42743 | − | 4.20443i | 0.200896 | − | 0.347961i | ||||
\(147\) | 7.05987 | − | 9.85689i | 0.582288 | − | 0.812982i | ||||
\(148\) | 1.50079 | + | 2.59944i | 0.123364 | + | 0.213673i | ||||
\(149\) | 9.52765 | − | 5.50079i | 0.780535 | − | 0.450642i | −0.0560848 | − | 0.998426i | \(-0.517862\pi\) |
0.836620 | + | 0.547784i | \(0.184528\pi\) | |||||||
\(150\) | 17.3261 | − | 2.88313i | 1.41467 | − | 0.235406i | ||||
\(151\) | 0.719988 | − | 1.24706i | 0.0585918 | − | 0.101484i | −0.835242 | − | 0.549883i | \(-0.814672\pi\) |
0.893834 | + | 0.448399i | \(0.148006\pi\) | |||||||
\(152\) | −1.78474 | −0.144761 | ||||||||
\(153\) | −1.67758 | − | 1.46368i | −0.135624 | − | 0.118332i | ||||
\(154\) | −9.63998 | − | 3.99886i | −0.776812 | − | 0.322237i | ||||
\(155\) | 11.8339 | + | 6.83228i | 0.950518 | + | 0.548782i | ||||
\(156\) | −3.13476 | − | 3.80986i | −0.250982 | − | 0.305033i | ||||
\(157\) | −14.3822 | + | 8.30354i | −1.14782 | + | 0.662695i | −0.948355 | − | 0.317210i | \(-0.897254\pi\) |
−0.199465 | + | 0.979905i | \(0.563921\pi\) | |||||||
\(158\) | 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 | ||||
\(162\) | 3.40192 | − | 8.33228i | 0.267280 | − | 0.654646i | ||||
\(163\) | −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 | ||||
\(165\) | 9.33307 | − | 24.8931i | 0.726579 | − | 1.93792i | ||||
\(166\) | −6.98012 | + | 4.02998i | −0.541763 | + | 0.312787i | ||||
\(167\) | 5.86087 | + | 10.1513i | 0.453528 | + | 0.785534i | 0.998602 | − | 0.0528541i | \(-0.0168318\pi\) |
−0.545074 | + | 0.838388i | \(0.683498\pi\) | |||||||
\(168\) | −1.33354 | − | 4.38425i | −0.102885 | − | 0.338252i | ||||
\(169\) | −2.44304 | + | 4.23147i | −0.187926 | + | 0.325498i | ||||
\(170\) | − | 2.88766i | − | 0.221474i | ||||||
\(171\) | 3.52006 | − | 4.03445i | 0.269185 | − | 0.308522i | ||||
\(172\) | 0.943042 | 0.0719063 | ||||||||
\(173\) | 8.38548 | − | 14.5241i | 0.637536 | − | 1.10425i | −0.348435 | − | 0.937333i | \(-0.613287\pi\) |
0.985972 | − | 0.166913i | \(-0.0533798\pi\) | |||||||
\(174\) | 0.820992 | + | 4.93374i | 0.0622393 | + | 0.374026i | ||||
\(175\) | 3.48824 | + | 26.6022i | 0.263686 | + | 2.01094i | ||||
\(176\) | −3.41614 | + | 1.97231i | −0.257501 | + | 0.148668i | ||||
\(177\) | −0.00600879 | − | 0.0361097i | −0.000451648 | − | 0.00271417i | ||||
\(178\) | −8.02499 | − | 4.63323i | −0.601499 | − | 0.347275i | ||||
\(179\) | 5.77532i | 0.431668i | 0.976430 | + | 0.215834i | \(0.0692470\pi\) | ||||
−0.976430 | + | 0.215834i | \(0.930753\pi\) | |||||||
\(180\) | 11.0443 | − | 3.78030i | 0.823193 | − | 0.281767i | ||||
\(181\) | 5.53310i | 0.411272i | 0.978629 | + | 0.205636i | \(0.0659263\pi\) | ||||
−0.978629 | + | 0.205636i | \(0.934074\pi\) | |||||||
\(182\) | 5.98141 | − | 4.58478i | 0.443371 | − | 0.339846i | ||||
\(183\) | 2.71726 | + | 3.30244i | 0.200865 | + | 0.244123i | ||||
\(184\) | 3.12656 | + | 5.41535i | 0.230493 | + | 0.399225i | ||||
\(185\) | −5.83974 | − | 10.1147i | −0.429346 | − | 0.743649i | ||||
\(186\) | 5.69536 | + | 2.13534i | 0.417604 | + | 0.156571i | ||||
\(187\) | −2.53518 | − | 1.46368i | −0.185390 | − | 0.107035i | ||||
\(188\) | −2.18525 | −0.159376 | ||||||||
\(189\) | 12.5409 | + | 5.63259i | 0.912216 | + | 0.409711i | ||||
\(190\) | 6.94462 | 0.503816 | ||||||||
\(191\) | −5.38124 | − | 3.10686i | −0.389373 | − | 0.224805i | 0.292515 | − | 0.956261i | \(-0.405508\pi\) |
−0.681888 | + | 0.731456i | \(0.738841\pi\) | |||||||
\(192\) | −1.62181 | − | 0.608059i | −0.117044 | − | 0.0438828i | ||||
\(193\) | 3.90271 | + | 6.75970i | 0.280923 | + | 0.486574i | 0.971612 | − | 0.236578i | \(-0.0760260\pi\) |
−0.690689 | + | 0.723152i | \(0.742693\pi\) | |||||||
\(194\) | 9.40980 | + | 16.2983i | 0.675584 | + | 1.17015i | ||||
\(195\) | 12.1977 | + | 14.8246i | 0.873497 | + | 1.06161i | ||||
\(196\) | 6.76335 | − | 1.80473i | 0.483097 | − | 0.128909i | ||||
\(197\) | − | 12.7737i | − | 0.910092i | −0.890468 | − | 0.455046i | \(-0.849623\pi\) | ||
0.890468 | − | 0.455046i | \(-0.150377\pi\) | |||||||
\(198\) | 2.27922 | − | 11.6123i | 0.161977 | − | 0.825250i | ||||
\(199\) | 1.81201i | 0.128450i | 0.997935 | + | 0.0642250i | \(0.0204575\pi\) | ||||
−0.997935 | + | 0.0642250i | \(0.979542\pi\) | |||||||
\(200\) | 8.78217 | + | 5.07039i | 0.620993 | + | 0.358530i | ||||
\(201\) | −3.82377 | − | 22.9788i | −0.269708 | − | 1.62080i | ||||
\(202\) | 7.17206 | − | 4.14079i | 0.504624 | − | 0.291345i | ||||
\(203\) | −7.57519 | + | 0.993303i | −0.531674 | + | 0.0697162i | ||||
\(204\) | −0.210992 | − | 1.26795i | −0.0147724 | − | 0.0887742i | ||||
\(205\) | 20.4169 | − | 35.3631i | 1.42598 | − | 2.46986i | ||||
\(206\) | −17.0487 | −1.18784 | ||||||||
\(207\) | −18.4081 | − | 3.61308i | −1.27945 | − | 0.251127i | ||||
\(208\) | − | 2.84849i | − | 0.197507i | ||||||
\(209\) | 3.52006 | − | 6.09692i | 0.243487 | − | 0.421732i | ||||
\(210\) | 5.18897 | + | 17.0596i | 0.358073 | + | 1.17723i | ||||
\(211\) | −1.88766 | − | 3.26953i | −0.129952 | − | 0.225083i | 0.793706 | − | 0.608302i | \(-0.208149\pi\) |
−0.923658 | + | 0.383218i | \(0.874816\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.18148 | + | 3.15124i | −0.0809539 | + | 0.215920i | ||||
\(214\) | −7.16846 | + | 12.4161i | −0.490026 | + | 0.848750i | ||||
\(215\) | −3.66949 | −0.250257 | ||||||||
\(216\) | 4.57324 | − | 2.46687i | 0.311170 | − | 0.167849i | ||||
\(217\) | −3.56002 | + | 8.58209i | −0.241670 | + | 0.582590i | ||||
\(218\) | −9.76874 | − | 5.63998i | −0.661622 | − | 0.381988i | ||||
\(219\) | −2.95204 | + | 7.87366i | −0.199480 | + | 0.532052i | ||||
\(220\) | 13.2926 | − | 7.67448i | 0.896187 | − | 0.517414i | ||||
\(221\) | 1.83070 | − | 1.05696i | 0.123146 | − | 0.0710987i | ||||
\(222\) | −3.30323 | − | 4.01461i | −0.221698 | − | 0.269443i | ||||
\(223\) | −11.0662 | − | 6.38910i | −0.741051 | − | 0.427846i | 0.0814006 | − | 0.996681i | \(-0.474061\pi\) |
−0.822451 | + | 0.568836i | \(0.807394\pi\) | |||||||
\(224\) | 1.01375 | − | 2.44383i | 0.0677341 | − | 0.163285i | ||||
\(225\) | −28.7829 | + | 9.85197i | −1.91886 | + | 0.656798i | ||||
\(226\) | 9.83228 | 0.654034 | ||||||||
\(227\) | 9.99110 | − | 17.3051i | 0.663133 | − | 1.14858i | −0.316655 | − | 0.948541i | \(-0.602560\pi\) |
0.979788 | − | 0.200039i | \(-0.0641068\pi\) | |||||||
\(228\) | 3.04933 | − | 0.507420i | 0.201947 | − | 0.0336047i | ||||
\(229\) | −8.77402 | + | 5.06568i | −0.579804 | + | 0.334750i | −0.761055 | − | 0.648687i | \(-0.775318\pi\) |
0.181252 | + | 0.983437i | \(0.441985\pi\) | |||||||
\(230\) | −12.1658 | − | 21.0718i | −0.802188 | − | 1.38943i | ||||
\(231\) | 17.6074 | + | 4.09153i | 1.15848 | + | 0.269203i | ||||
\(232\) | −1.44383 | + | 2.50079i | −0.0947921 | + | 0.164185i | ||||
\(233\) | − | 7.31007i | − | 0.478898i | −0.970909 | − | 0.239449i | \(-0.923033\pi\) | ||
0.970909 | − | 0.239449i | \(-0.0769669\pi\) | |||||||
\(234\) | 6.43910 | + | 5.61811i | 0.420937 | + | 0.367267i | ||||
\(235\) | 8.50307 | 0.554679 | ||||||||
\(236\) | 0.0105673 | − | 0.0183031i | 0.000687873 | − | 0.00119143i | ||||
\(237\) | −4.86332 | + | 4.00156i | −0.315906 | + | 0.259929i | ||||
\(238\) | 1.94679 | − | 0.255275i | 0.126192 | − | 0.0165470i | ||||
\(239\) | 7.28317 | − | 4.20494i | 0.471109 | − | 0.271995i | −0.245595 | − | 0.969373i | \(-0.578983\pi\) |
0.716704 | + | 0.697378i | \(0.245650\pi\) | |||||||
\(240\) | 6.31064 | + | 2.36603i | 0.407350 | + | 0.152726i | ||||
\(241\) | 7.75277 | + | 4.47607i | 0.499400 | + | 0.288329i | 0.728466 | − | 0.685082i | \(-0.240234\pi\) |
−0.229066 | + | 0.973411i | \(0.573567\pi\) | |||||||
\(242\) | − | 4.56002i | − | 0.293129i | ||||||
\(243\) | −3.44343 | + | 15.2034i | −0.220896 | + | 0.975297i | ||||
\(244\) | 2.46911i | 0.158069i | ||||||||
\(245\) | −26.3170 | + | 7.02242i | −1.68133 | + | 0.448646i | ||||
\(246\) | 6.38103 | − | 17.0194i | 0.406840 | − | 1.08512i | ||||
\(247\) | 2.54191 | + | 4.40271i | 0.161738 | + | 0.280138i | ||||
\(248\) | 1.75587 | + | 3.04125i | 0.111498 | + | 0.193120i | ||||
\(249\) | 10.7802 | − | 8.86997i | 0.683166 | − | 0.562111i | ||||
\(250\) | −17.3234 | − | 10.0017i | −1.09563 | − | 0.632561i | ||||
\(251\) | −12.6432 | −0.798033 | −0.399017 | − | 0.916944i | \(-0.630648\pi\) | ||||
−0.399017 | + | 0.916944i | \(0.630648\pi\) | |||||||
\(252\) | 3.52492 | + | 7.11160i | 0.222049 | + | 0.447989i | ||||
\(253\) | −24.6661 | −1.55075 | ||||||||
\(254\) | −2.55012 | − | 1.47231i | −0.160008 | − | 0.0923809i | ||||
\(255\) | 0.820992 | + | 4.93374i | 0.0514125 | + | 0.308962i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.15329 | + | 14.1219i | 0.508588 | + | 0.880900i | 0.999951 | + | 0.00994523i | \(0.00316572\pi\) |
−0.491362 | + | 0.870955i | \(0.663501\pi\) | |||||||
\(258\) | −1.61124 | + | 0.268117i | −0.100312 | + | 0.0166922i | ||||
\(259\) | 6.30286 | − | 4.83117i | 0.391641 | − | 0.300194i | ||||
\(260\) | 11.0838i | 0.687389i | ||||||||
\(261\) | −2.80542 | − | 8.19615i | −0.173651 | − | 0.507329i | ||||
\(262\) | 15.0651i | 0.930725i | ||||||||
\(263\) | 20.5434 | + | 11.8608i | 1.26676 | + | 0.731366i | 0.974374 | − | 0.224934i | \(-0.0722166\pi\) |
0.292389 | + | 0.956300i | \(0.405550\pi\) | |||||||
\(264\) | 5.27592 | − | 4.34105i | 0.324711 | − | 0.267173i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.613917 | + | 4.68189i | 0.0376417 | + | 0.287065i | ||||
\(267\) | 15.0284 | + | 5.63455i | 0.919725 | + | 0.344829i | ||||
\(268\) | 6.72463 | − | 11.6474i | 0.410772 | − | 0.711478i | ||||
\(269\) | −7.28288 | −0.444045 | −0.222022 | − | 0.975042i | \(-0.571266\pi\) | ||||
−0.222022 | + | 0.975042i | \(0.571266\pi\) | |||||||
\(270\) | −17.7950 | + | 9.59886i | −1.08297 | + | 0.584168i | ||||
\(271\) | 22.6879i | 1.37819i | 0.724669 | + | 0.689097i | \(0.241993\pi\) | ||||
−0.724669 | + | 0.689097i | \(0.758007\pi\) | |||||||
\(272\) | 0.371058 | − | 0.642692i | 0.0224987 | − | 0.0389689i | ||||
\(273\) | −8.91608 | + | 9.53393i | −0.539625 | + | 0.577020i | ||||
\(274\) | 7.85997 | + | 13.6139i | 0.474838 | + | 0.822444i | ||||
\(275\) | −34.6423 | + | 20.0007i | −2.08901 | + | 1.20609i | ||||
\(276\) | −6.88154 | − | 8.36353i | −0.414220 | − | 0.503425i | ||||
\(277\) | −12.0838 | + | 20.9298i | −0.726046 | + | 1.25755i | 0.232496 | + | 0.972597i | \(0.425311\pi\) |
−0.958542 | + | 0.284951i | \(0.908023\pi\) | |||||||
\(278\) | 3.30675 | 0.198326 | ||||||||
\(279\) | −10.3380 | − | 2.02910i | −0.618917 | − | 0.121479i | ||||
\(280\) | −3.94462 | + | 9.50923i | −0.235736 | + | 0.568285i | ||||
\(281\) | −4.11229 | − | 2.37423i | −0.245319 | − | 0.141635i | 0.372300 | − | 0.928112i | \(-0.378569\pi\) |
−0.617619 | + | 0.786478i | \(0.711903\pi\) | |||||||
\(282\) | 3.73363 | − | 0.621290i | 0.222334 | − | 0.0369973i | ||||
\(283\) | 25.4484 | − | 14.6926i | 1.51275 | − | 0.873387i | 0.512861 | − | 0.858471i | \(-0.328585\pi\) |
0.999889 | − | 0.0149153i | \(-0.00474785\pi\) | |||||||
\(284\) | −1.68272 | + | 0.971521i | −0.0998513 | + | 0.0576492i | ||||
\(285\) | −11.8653 | + | 1.97443i | −0.702838 | + | 0.116955i | ||||
\(286\) | 9.73085 | + | 5.61811i | 0.575398 | + | 0.332206i | ||||
\(287\) | 25.6458 | + | 10.6384i | 1.51382 | + | 0.627965i | ||||
\(288\) | 2.94383 | + | 0.577806i | 0.173467 | + | 0.0340475i | ||||
\(289\) | −16.4493 | −0.967604 | ||||||||
\(290\) | 5.61811 | − | 9.73085i | 0.329907 | − | 0.571415i | ||||
\(291\) | −20.7109 | − | 25.1712i | −1.21410 | − | 1.47556i | ||||
\(292\) | −4.20443 | + | 2.42743i | −0.246046 | + | 0.142055i | ||||
\(293\) | −3.31206 | − | 5.73666i | −0.193493 | − | 0.335139i | 0.752913 | − | 0.658121i | \(-0.228648\pi\) |
−0.946405 | + | 0.322981i | \(0.895315\pi\) | |||||||
\(294\) | −11.0425 | + | 5.00638i | −0.644010 | + | 0.291978i | ||||
\(295\) | −0.0411186 | + | 0.0712195i | −0.00239402 | + | 0.00414656i | ||||
\(296\) | − | 3.00158i | − | 0.174463i | ||||||
\(297\) | −0.592687 | + | 20.4883i | −0.0343912 | + | 1.18885i | ||||
\(298\) | −11.0016 | −0.637304 | ||||||||
\(299\) | 8.90597 | − | 15.4256i | 0.515046 | − | 0.892085i | ||||
\(300\) | −16.4464 | − | 6.16618i | −0.949533 | − | 0.356005i | ||||
\(301\) | −0.324389 | − | 2.47388i | −0.0186975 | − | 0.142592i | ||||
\(302\) | −1.24706 | + | 0.719988i | −0.0717600 | + | 0.0414307i | ||||
\(303\) | −11.0766 | + | 9.11387i | −0.636334 | + | 0.523578i | ||||
\(304\) | 1.54563 | + | 0.892369i | 0.0886479 | + | 0.0511809i | ||||
\(305\) | − | 9.60761i | − | 0.550130i | ||||||
\(306\) | 0.720982 | + | 2.10638i | 0.0412158 | + | 0.120414i | ||||
\(307\) | − | 21.7242i | − | 1.23987i | −0.784655 | − | 0.619933i | \(-0.787160\pi\) | ||
0.784655 | − | 0.619933i | \(-0.212840\pi\) | |||||||
\(308\) | 6.34904 | + | 8.28311i | 0.361770 | + | 0.471974i | ||||
\(309\) | 29.1287 | − | 4.84712i | 1.65707 | − | 0.275743i | ||||
\(310\) | −6.83228 | − | 11.8339i | −0.388048 | − | 0.672118i | ||||
\(311\) | −3.14900 | − | 5.45422i | −0.178563 | − | 0.309281i | 0.762825 | − | 0.646605i | \(-0.223812\pi\) |
−0.941389 | + | 0.337324i | \(0.890478\pi\) | |||||||
\(312\) | 0.809856 | + | 4.86681i | 0.0458491 | + | 0.275529i | ||||
\(313\) | 19.2423 | + | 11.1095i | 1.08764 | + | 0.627948i | 0.932946 | − | 0.360015i | \(-0.117229\pi\) |
0.154691 | + | 0.987963i | \(0.450562\pi\) | |||||||
\(314\) | 16.6071 | 0.937192 | ||||||||
\(315\) | −13.7159 | − | 27.6721i | −0.772802 | − | 1.55914i | ||||
\(316\) | −3.63613 | −0.204548 | ||||||||
\(317\) | 13.5632 | + | 7.83070i | 0.761784 | + | 0.439816i | 0.829936 | − | 0.557859i | \(-0.188377\pi\) |
−0.0681519 | + | 0.997675i | \(0.521710\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.69536 | − | 9.86466i | −0.318879 | − | 0.552315i | ||||
\(320\) | 1.94556 | + | 3.36980i | 0.108760 | + | 0.188378i | ||||
\(321\) | 8.71769 | − | 23.2518i | 0.486574 | − | 1.29779i | ||||
\(322\) | 13.1306 | − | 10.0647i | 0.731739 | − | 0.560881i | ||||
\(323\) | 1.32448i | 0.0736963i | ||||||||
\(324\) | −7.11229 | + | 5.51501i | −0.395127 | + | 0.306389i | ||||
\(325\) | − | 28.8859i | − | 1.60230i | ||||||
\(326\) | 10.7348 | + | 6.19773i | 0.594545 | + | 0.343260i | ||||
\(327\) | 18.2940 | + | 6.85888i | 1.01166 | + | 0.379297i | ||||
\(328\) | 9.08816 | − | 5.24705i | 0.501810 | − | 0.289720i | ||||
\(329\) | 0.751687 | + | 5.73256i | 0.0414418 | + | 0.316046i | ||||
\(330\) | −20.5292 | + | 16.8915i | −1.13010 | + | 0.929847i | ||||
\(331\) | −0.636129 | + | 1.10181i | −0.0349648 | + | 0.0605608i | −0.882978 | − | 0.469414i | \(-0.844465\pi\) |
0.848013 | + | 0.529975i | \(0.177799\pi\) | |||||||
\(332\) | 8.05995 | 0.442347 | ||||||||
\(333\) | 6.78515 | + | 5.92004i | 0.371824 | + | 0.324416i | ||||
\(334\) | − | 11.7217i | − | 0.641386i | ||||||
\(335\) | −26.1663 | + | 45.3214i | −1.42962 | + | 2.47617i | ||||
\(336\) | −1.03724 | + | 4.46364i | −0.0565863 | + | 0.243512i | ||||
\(337\) | −3.78001 | − | 6.54717i | −0.205910 | − | 0.356647i | 0.744512 | − | 0.667609i | \(-0.232682\pi\) |
−0.950422 | + | 0.310962i | \(0.899349\pi\) | |||||||
\(338\) | 4.23147 | − | 2.44304i | 0.230162 | − | 0.132884i | ||||
\(339\) | −16.7990 | + | 2.79542i | −0.912397 | + | 0.151826i | ||||
\(340\) | −1.44383 | + | 2.50079i | −0.0783027 | + | 0.135624i | ||||
\(341\) | −13.8525 | −0.750153 | ||||||||
\(342\) | −5.06568 | + | 1.73391i | −0.273921 | + | 0.0937592i | ||||
\(343\) | −7.06081 | − | 17.1215i | −0.381248 | − | 0.924473i | ||||
\(344\) | −0.816699 | − | 0.471521i | −0.0440334 | − | 0.0254227i | ||||
\(345\) | 26.7769 | + | 32.5434i | 1.44162 | + | 1.75208i | ||||
\(346\) | −14.5241 | + | 8.38548i | −0.780820 | + | 0.450806i | ||||
\(347\) | 19.1470 | − | 11.0545i | 1.02787 | − | 0.593439i | 0.111494 | − | 0.993765i | \(-0.464436\pi\) |
0.916373 | + | 0.400326i | \(0.131103\pi\) | |||||||
\(348\) | 1.75587 | − | 4.68324i | 0.0941244 | − | 0.251048i | ||||
\(349\) | 12.7682 | + | 7.37173i | 0.683467 | + | 0.394600i | 0.801160 | − | 0.598450i | \(-0.204217\pi\) |
−0.117693 | + | 0.993050i | \(0.537550\pi\) | |||||||
\(350\) | 10.2802 | − | 24.7823i | 0.549501 | − | 1.32467i | ||||
\(351\) | −12.5989 | − | 7.76816i | −0.672478 | − | 0.414634i | ||||
\(352\) | 3.94462 | 0.210249 | ||||||||
\(353\) | −8.63881 | + | 14.9629i | −0.459798 | + | 0.796393i | −0.998950 | − | 0.0458154i | \(-0.985411\pi\) |
0.539152 | + | 0.842208i | \(0.318745\pi\) | |||||||
\(354\) | −0.0128511 | + | 0.0342763i | −0.000683027 | + | 0.00182176i | ||||
\(355\) | 6.54767 | − | 3.78030i | 0.347514 | − | 0.200638i | ||||
\(356\) | 4.63323 | + | 8.02499i | 0.245561 | + | 0.425324i | ||||
\(357\) | −3.25363 | + | 0.989644i | −0.172200 | + | 0.0523775i | ||||
\(358\) | 2.88766 | − | 5.00158i | 0.152618 | − | 0.264342i | ||||
\(359\) | − | 10.9129i | − | 0.575963i | −0.957636 | − | 0.287982i | \(-0.907016\pi\) | ||
0.957636 | − | 0.287982i | \(-0.0929842\pi\) | |||||||
\(360\) | −11.4548 | − | 2.24831i | −0.603720 | − | 0.118496i | ||||
\(361\) | 15.8147 | 0.832353 | ||||||||
\(362\) | 2.76655 | − | 4.79180i | 0.145407 | − | 0.251852i | ||||
\(363\) | 1.29646 | + | 7.79106i | 0.0680466 | + | 0.408925i | ||||
\(364\) | −7.47244 | + | 0.979830i | −0.391662 | + | 0.0513570i | ||||
\(365\) | 16.3599 | − | 9.44541i | 0.856318 | − | 0.494395i | ||||
\(366\) | −0.701995 | − | 4.21862i | −0.0366939 | − | 0.220511i | ||||
\(367\) | −30.9407 | − | 17.8636i | −1.61509 | − | 0.932472i | −0.988166 | − | 0.153391i | \(-0.950981\pi\) |
−0.626923 | − | 0.779081i | \(-0.715686\pi\) | |||||||
\(368\) | − | 6.25311i | − | 0.325966i | ||||||
\(369\) | −6.06355 | + | 30.8929i | −0.315656 | + | 1.60822i | ||||
\(370\) | 11.6795i | 0.607187i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.86466 | − | 4.69694i | −0.200373 | − | 0.243525i | ||||
\(373\) | 16.0300 | + | 27.7648i | 0.830003 | + | 1.43761i | 0.898035 | + | 0.439923i | \(0.144994\pi\) |
−0.0680328 | + | 0.997683i | \(0.521672\pi\) | |||||||
\(374\) | 1.46368 | + | 2.53518i | 0.0756853 | + | 0.131091i | ||||
\(375\) | 32.4416 | + | 12.1632i | 1.67528 | + | 0.628105i | ||||
\(376\) | 1.89248 | + | 1.09263i | 0.0975974 | + | 0.0563479i | ||||
\(377\) | 8.22549 | 0.423634 | ||||||||
\(378\) | −8.04443 | − | 11.1484i | −0.413761 | − | 0.573412i | ||||
\(379\) | 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 | ||||
\(381\) | 4.77561 | + | 1.79050i | 0.244662 | + | 0.0917301i | ||||
\(382\) | 3.10686 | + | 5.38124i | 0.158961 | + | 0.275328i | ||||
\(383\) | 8.76711 | + | 15.1851i | 0.447978 | + | 0.775921i | 0.998254 | − | 0.0590616i | \(-0.0188108\pi\) |
−0.550276 | + | 0.834983i | \(0.685477\pi\) | |||||||
\(384\) | 1.10050 | + | 1.33750i | 0.0561596 | + | 0.0682539i | ||||
\(385\) | −24.7048 | − | 32.2305i | −1.25908 | − | 1.64262i | ||||
\(386\) | − | 7.80542i | − | 0.397286i | ||||||
\(387\) | 2.67667 | − | 0.916186i | 0.136063 | − | 0.0465723i | ||||
\(388\) | − | 18.8196i | − | 0.955421i | ||||||
\(389\) | −6.60060 | − | 3.81086i | −0.334664 | − | 0.193218i | 0.323246 | − | 0.946315i | \(-0.395226\pi\) |
−0.657910 | + | 0.753097i | \(0.728559\pi\) | |||||||
\(390\) | −3.15124 | − | 18.9373i | −0.159569 | − | 0.958929i | ||||
\(391\) | 4.01882 | − | 2.32027i | 0.203241 | − | 0.117341i | ||||
\(392\) | −6.75960 | − | 1.81873i | −0.341411 | − | 0.0918599i | ||||
\(393\) | −4.28317 | − | 25.7396i | −0.216057 | − | 1.29839i | ||||
\(394\) | −6.38687 | + | 11.0624i | −0.321766 | + | 0.557315i | ||||
\(395\) | 14.1486 | 0.711893 | ||||||||
\(396\) | −7.78001 | + | 8.91693i | −0.390960 | + | 0.448093i | ||||
\(397\) | − | 37.6469i | − | 1.88944i | −0.327873 | − | 0.944722i | \(-0.606332\pi\) | ||
0.327873 | − | 0.944722i | \(-0.393668\pi\) | |||||||
\(398\) | 0.906005 | − | 1.56925i | 0.0454139 | − | 0.0786592i | ||||
\(399\) | −2.38002 | − | 7.82474i | −0.119150 | − | 0.391727i | ||||
\(400\) | −5.07039 | − | 8.78217i | −0.253519 | − | 0.439108i | ||||
\(401\) | 18.5689 | − | 10.7207i | 0.927284 | − | 0.535368i | 0.0413326 | − | 0.999145i | \(-0.486840\pi\) |
0.885952 | + | 0.463778i | \(0.153506\pi\) | |||||||
\(402\) | −8.17794 | + | 21.8121i | −0.407879 | + | 1.08789i | ||||
\(403\) | 5.00158 | − | 8.66299i | 0.249146 | − | 0.431534i | ||||
\(404\) | −8.28158 | −0.412024 | ||||||||
\(405\) | 27.6747 | − | 21.4595i | 1.37517 | − | 1.06633i | ||||
\(406\) | 7.05696 | + | 2.92737i | 0.350231 | + | 0.145283i | ||||
\(407\) | 10.2538 | + | 5.92004i | 0.508262 | + | 0.293445i | ||||
\(408\) | −0.451251 | + | 1.20357i | −0.0223402 | + | 0.0595857i | ||||
\(409\) | 25.6086 | − | 14.7851i | 1.26627 | − | 0.731079i | 0.291986 | − | 0.956423i | \(-0.405684\pi\) |
0.974279 | + | 0.225344i | \(0.0723506\pi\) | |||||||
\(410\) | −35.3631 | + | 20.4169i | −1.74646 | + | 1.00832i | ||||
\(411\) | −17.2998 | − | 21.0254i | −0.853335 | − | 1.03711i | ||||
\(412\) | 14.7646 | + | 8.52435i | 0.727400 | + | 0.419964i | ||||
\(413\) | −0.0516494 | − | 0.0214252i | −0.00254150 | − | 0.00105427i | ||||
\(414\) | 14.1353 | + | 12.3331i | 0.694714 | + | 0.606137i | ||||
\(415\) | −31.3622 | −1.53951 | ||||||||
\(416\) | −1.42425 | + | 2.46687i | −0.0698294 | + | 0.120948i | ||||
\(417\) | −5.64977 | + | 0.940143i | −0.276670 | + | 0.0460390i | ||||
\(418\) | −6.09692 | + | 3.52006i | −0.298210 | + | 0.172172i | ||||
\(419\) | −3.56481 | − | 6.17443i | −0.174152 | − | 0.301641i | 0.765715 | − | 0.643180i | \(-0.222385\pi\) |
−0.939868 | + | 0.341539i | \(0.889052\pi\) | |||||||
\(420\) | 4.03604 | − | 17.3686i | 0.196938 | − | 0.847499i | ||||
\(421\) | −2.31007 | + | 4.00115i | −0.112586 | + | 0.195004i | −0.916812 | − | 0.399319i | \(-0.869247\pi\) |
0.804226 | + | 0.594323i | \(0.202580\pi\) | |||||||
\(422\) | 3.77532i | 0.183780i | ||||||||
\(423\) | −6.20248 | + | 2.12302i | −0.301575 | + | 0.103225i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.76282 | − | 6.51739i | 0.182524 | − | 0.316140i | ||||
\(426\) | 2.59882 | − | 2.13832i | 0.125913 | − | 0.103602i | ||||
\(427\) | 6.47721 | − | 0.849330i | 0.313454 | − | 0.0411020i | ||||
\(428\) | 12.4161 | − | 7.16846i | 0.600157 | − | 0.346501i | ||||
\(429\) | −18.2230 | − | 6.83228i | −0.879815 | − | 0.329866i | ||||
\(430\) | 3.17787 | + | 1.83474i | 0.153250 | + | 0.0884792i | ||||
\(431\) | 4.00771i | 0.193045i | 0.995331 | + | 0.0965223i | \(0.0307719\pi\) | ||||
−0.995331 | + | 0.0965223i | \(0.969228\pi\) | |||||||
\(432\) | −5.19398 | − | 0.150252i | −0.249895 | − | 0.00722900i | ||||
\(433\) | 29.4125i | 1.41348i | 0.707475 | + | 0.706738i | \(0.249834\pi\) | ||||
−0.707475 | + | 0.706738i | \(0.750166\pi\) | |||||||
\(434\) | 7.37411 | − | 5.65229i | 0.353969 | − | 0.271319i | ||||
\(435\) | −6.83228 | + | 18.2230i | −0.327583 | + | 0.873726i | ||||
\(436\) | 5.63998 | + | 9.76874i | 0.270106 | + | 0.467838i | ||||
\(437\) | 5.58008 | + | 9.66498i | 0.266931 | + | 0.462339i | ||||
\(438\) | 6.49337 | − | 5.34277i | 0.310265 | − | 0.255287i | ||||
\(439\) | −18.5130 | − | 10.6885i | −0.883575 | − | 0.510133i | −0.0117398 | − | 0.999931i | \(-0.503737\pi\) |
−0.871836 | + | 0.489799i | \(0.837070\pi\) | |||||||
\(440\) | −15.3490 | −0.731733 | ||||||||
\(441\) | 17.4433 | − | 11.6932i | 0.830635 | − | 0.556818i | ||||
\(442\) | −2.11392 | −0.100549 | ||||||||
\(443\) | 5.05227 | + | 2.91693i | 0.240041 | + | 0.138587i | 0.615195 | − | 0.788375i | \(-0.289077\pi\) |
−0.375155 | + | 0.926962i | \(0.622410\pi\) | |||||||
\(444\) | 0.853380 | + | 5.12837i | 0.0404996 | + | 0.243381i | ||||
\(445\) | −18.0284 | − | 31.2262i | −0.854630 | − | 1.48026i | ||||
\(446\) | 6.38910 | + | 11.0662i | 0.302533 | + | 0.524002i | ||||
\(447\) | 18.7968 | − | 3.12786i | 0.889059 | − | 0.147943i | ||||
\(448\) | −2.09985 | + | 1.60954i | −0.0992086 | + | 0.0760438i | ||||
\(449\) | 22.5823i | 1.06573i | 0.846202 | + | 0.532863i | \(0.178884\pi\) | ||||
−0.846202 | + | 0.532863i | \(0.821116\pi\) | |||||||
\(450\) | 29.8527 | + | 5.85939i | 1.40727 | + | 0.276215i | ||||
\(451\) | 41.3953i | 1.94923i | ||||||||
\(452\) | −8.51501 | − | 4.91614i | −0.400512 | − | 0.231236i | ||||
\(453\) | 1.92597 | − | 1.58469i | 0.0904898 | − | 0.0744553i | ||||
\(454\) | −17.3051 | + | 9.99110i | −0.812168 | + | 0.468906i | ||||
\(455\) | 29.0761 | − | 3.81263i | 1.36311 | − | 0.178739i | ||||
\(456\) | −2.89450 | − | 1.08523i | −0.135548 | − | 0.0508203i | ||||
\(457\) | −19.9311 | + | 34.5218i | −0.932340 | + | 1.61486i | −0.153029 | + | 0.988222i | \(0.548903\pi\) |
−0.779310 | + | 0.626638i | \(0.784430\pi\) | |||||||
\(458\) | 10.1314 | 0.473408 | ||||||||
\(459\) | −1.83070 | − | 3.39388i | −0.0854500 | − | 0.158413i | ||||
\(460\) | 24.3316i | 1.13447i | ||||||||
\(461\) | −3.68254 | + | 6.37834i | −0.171513 | + | 0.297069i | −0.938949 | − | 0.344056i | \(-0.888199\pi\) |
0.767436 | + | 0.641125i | \(0.221532\pi\) | |||||||
\(462\) | −13.2027 | − | 12.3471i | −0.614244 | − | 0.574437i | ||||
\(463\) | −14.3457 | − | 24.8475i | −0.666702 | − | 1.15476i | −0.978821 | − | 0.204718i | \(-0.934372\pi\) |
0.312119 | − | 0.950043i | \(-0.398961\pi\) | |||||||
\(464\) | 2.50079 | − | 1.44383i | 0.116096 | − | 0.0670282i | ||||
\(465\) | 15.0378 | + | 18.2763i | 0.697363 | + | 0.847545i | ||||
\(466\) | −3.65503 | + | 6.33070i | −0.169316 | + | 0.293264i | ||||
\(467\) | −13.6704 | −0.632590 | −0.316295 | − | 0.948661i | \(-0.602439\pi\) | ||||
−0.316295 | + | 0.948661i | \(0.602439\pi\) | |||||||
\(468\) | −2.76737 | − | 8.08498i | −0.127922 | − | 0.373728i | ||||
\(469\) | −32.8677 | − | 13.6342i | −1.51769 | − | 0.629569i | ||||
\(470\) | −7.36387 | − | 4.25153i | −0.339670 | − | 0.196109i | ||||
\(471\) | −28.3741 | + | 4.72157i | −1.30741 | + | 0.217558i | ||||
\(472\) | −0.0183031 | + | 0.0105673i | −0.000842469 | + | 0.000486400i | ||||
\(473\) | 3.22157 | − | 1.85997i | 0.148128 | − | 0.0855216i | ||||
\(474\) | 6.21253 | − | 1.03379i | 0.285351 | − | 0.0474835i | ||||
\(475\) | 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 | \(-0.756894\pi\) |
0.960094 | + | 0.279677i | \(0.0902275\pi\) | |||||||
\(480\) | −4.28217 | − | 5.20436i | −0.195453 | − | 0.237545i | ||||
\(481\) | −7.40449 | + | 4.27499i | −0.337616 | + | 0.194923i | ||||
\(482\) | −4.47607 | − | 7.75277i | −0.203879 | − | 0.353129i | ||||
\(483\) | −19.5729 | + | 20.9292i | −0.890597 | + | 0.952312i | ||||
\(484\) | −2.28001 | + | 3.94910i | −0.103637 | + | 0.179504i | ||||
\(485\) | 73.2292i | 3.32517i | ||||||||
\(486\) | 10.5838 | − | 11.4448i | 0.480090 | − | 0.519147i | ||||
\(487\) | 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 | ||||
\(489\) | −20.1031 | − | 7.53716i | −0.909092 | − | 0.340842i | ||||
\(490\) | 26.3024 | + | 7.07690i | 1.18822 | + | 0.319702i | ||||
\(491\) | −29.3448 | + | 16.9422i | −1.32431 | + | 0.764591i | −0.984413 | − | 0.175871i | \(-0.943726\pi\) |
−0.339898 | + | 0.940462i | \(0.610392\pi\) | |||||||
\(492\) | −14.0359 | + | 11.5487i | −0.632785 | + | 0.520658i | ||||
\(493\) | 1.85588 | + | 1.07149i | 0.0835845 | + | 0.0482575i | ||||
\(494\) | − | 5.08381i | − | 0.228732i | ||||||
\(495\) | 30.2729 | − | 34.6968i | 1.36067 | − | 1.55950i | ||||
\(496\) | − | 3.51174i | − | 0.157682i | ||||||
\(497\) | 3.12741 | + | 4.08010i | 0.140284 | + | 0.183017i | ||||
\(498\) | −13.7709 | + | 2.29153i | −0.617088 | + | 0.102686i | ||||
\(499\) | 8.30223 | + | 14.3799i | 0.371659 | + | 0.643732i | 0.989821 | − | 0.142319i | \(-0.0454558\pi\) |
−0.618162 | + | 0.786051i | \(0.712123\pi\) | |||||||
\(500\) | 10.0017 | + | 17.3234i | 0.447288 | + | 0.774726i | ||||
\(501\) | 3.33262 | + | 20.0273i | 0.148890 | + | 0.894753i | ||||
\(502\) | 10.9494 | + | 6.32161i | 0.488694 | + | 0.282147i | ||||
\(503\) | −35.3661 | −1.57690 | −0.788449 | − | 0.615100i | \(-0.789115\pi\) | ||||
−0.788449 | + | 0.615100i | \(0.789115\pi\) | |||||||
\(504\) | 0.503130 | − | 7.92129i | 0.0224112 | − | 0.352842i | ||||
\(505\) | 32.2246 | 1.43398 | ||||||||
\(506\) | 21.3615 | + | 12.3331i | 0.949635 | + | 0.548272i | ||||
\(507\) | −6.53513 | + | 5.37713i | −0.290235 | + | 0.238807i | ||||
\(508\) | 1.47231 | + | 2.55012i | 0.0653232 | + | 0.113143i | ||||
\(509\) | −18.5291 | − | 32.0933i | −0.821287 | − | 1.42251i | −0.904724 | − | 0.425998i | \(-0.859923\pi\) |
0.0834371 | − | 0.996513i | \(-0.473410\pi\) | |||||||
\(510\) | 1.75587 | − | 4.68324i | 0.0777511 | − | 0.207377i | ||||
\(511\) | 7.81411 | + | 10.1945i | 0.345676 | + | 0.450977i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 8.16204 | − | 4.40271i | 0.360363 | − | 0.194384i | ||||
\(514\) | − | 16.3066i | − | 0.719252i | ||||||
\(515\) | −57.4507 | − | 33.1692i | −2.53158 | − | 1.46161i | ||||
\(516\) | 1.52943 | + | 0.573425i | 0.0673296 | + | 0.0252436i | ||||
\(517\) | −7.46513 | + | 4.30999i | −0.328316 | + | 0.189553i | ||||
\(518\) | −7.87402 | + | 1.03249i | −0.345965 | + | 0.0453649i | ||||
\(519\) | 22.4311 | − | 18.4564i | 0.984618 | − | 0.810147i | ||||
\(520\) | 5.54191 | − | 9.59886i | 0.243029 | − | 0.420938i | ||||
\(521\) | 1.78309 | 0.0781187 | 0.0390594 | − | 0.999237i | \(-0.487564\pi\) | ||||
0.0390594 | + | 0.999237i | \(0.487564\pi\) | |||||||
\(522\) | −1.66851 | + | 8.50079i | −0.0730286 | + | 0.372069i | ||||
\(523\) | 24.0538i | 1.05180i | 0.850546 | + | 0.525901i | \(0.176272\pi\) | ||||
−0.850546 | + | 0.525901i | \(0.823728\pi\) | |||||||
\(524\) | 7.53255 | − | 13.0468i | 0.329061 | − | 0.569950i | ||||
\(525\) | −10.5185 | + | 45.2648i | −0.459063 | + | 1.97552i | ||||
\(526\) | −11.8608 | − | 20.5434i | −0.517154 | − | 0.895737i | ||||
\(527\) | 2.25696 | − | 1.30306i | 0.0983149 | − | 0.0567621i | ||||
\(528\) | −6.73961 | + | 1.12150i | −0.293304 | + | 0.0488069i | ||||
\(529\) | 8.05069 | − | 13.9442i | 0.350030 | − | 0.606270i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.0122117 | − | 0.0622167i | 0.000529942 | − | 0.00269998i | ||||
\(532\) | 1.80928 | − | 4.36160i | 0.0784422 | − | 0.189099i | ||||
\(533\) | −25.8876 | − | 14.9462i | −1.12132 | − | 0.647392i | ||||
\(534\) | −10.1977 | − | 12.3939i | −0.441299 | − | 0.536336i | ||||
\(535\) | −48.3126 | + | 27.8933i | −2.08874 | + | 1.20593i | ||||
\(536\) | −11.6474 | + | 6.72463i | −0.503091 | + | 0.290460i | ||||
\(537\) | −3.51174 | + | 9.36647i | −0.151543 | + | 0.404193i | ||||
\(538\) | 6.30716 | + | 3.64144i | 0.271921 | + | 0.156994i | ||||
\(539\) | 19.5451 | − | 19.5046i | 0.841866 | − | 0.840124i | ||||
\(540\) | 20.2104 | + | 0.584648i | 0.869716 | + | 0.0251592i | ||||
\(541\) | 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 | ||||
\(543\) | −3.36445 | + | 8.97363i | −0.144382 | + | 0.385095i | ||||
\(544\) | −0.642692 | + | 0.371058i | −0.0275552 | + | 0.0159090i | ||||
\(545\) | −21.9458 | − | 38.0113i | −0.940056 | − | 1.62822i | ||||
\(546\) | 12.4885 | − | 3.79859i | 0.534459 | − | 0.162565i | ||||
\(547\) | −10.7816 | + | 18.6743i | −0.460987 | + | 0.798454i | −0.999010 | − | 0.0444765i | \(-0.985838\pi\) |
0.538023 | + | 0.842930i | \(0.319171\pi\) | |||||||
\(548\) | − | 15.7199i | − | 0.671523i | ||||||
\(549\) | 2.39880 | + | 7.00817i | 0.102378 | + | 0.299102i | ||||
\(550\) | 40.0015 | 1.70567 | ||||||||
\(551\) | −2.57686 | + | 4.46325i | −0.109778 | + | 0.190141i | ||||
\(552\) | 1.77782 | + | 10.6838i | 0.0756692 | + | 0.454733i | ||||
\(553\) | 1.25076 | + | 9.53864i | 0.0531878 | + | 0.405624i | ||||
\(554\) | 20.9298 | − | 12.0838i | 0.889221 | − | 0.513392i | ||||
\(555\) | −3.32060 | − | 19.9551i | −0.140952 | − | 0.847045i | ||||
\(556\) | −2.86373 | − | 1.65337i | −0.121449 | − | 0.0701187i | ||||
\(557\) | 36.9477i | 1.56552i | 0.622321 | + | 0.782762i | \(0.286190\pi\) | ||||
−0.622321 | + | 0.782762i | \(0.713810\pi\) | |||||||
\(558\) | 7.93838 | + | 6.92623i | 0.336058 | + | 0.293211i | ||||
\(559\) | 2.68625i | 0.113616i | ||||||||
\(560\) | 8.17075 | − | 6.26292i | 0.345277 | − | 0.264657i | ||||
\(561\) | −3.22157 | − | 3.91535i | −0.136015 | − | 0.165306i | ||||
\(562\) | 2.37423 | + | 4.11229i | 0.100151 | + | 0.173467i | ||||
\(563\) | 7.58422 | + | 13.1363i | 0.319637 | + | 0.553627i | 0.980412 | − | 0.196957i | \(-0.0631058\pi\) |
−0.660776 | + | 0.750584i | \(0.729772\pi\) | |||||||
\(564\) | −3.54406 | − | 1.32876i | −0.149232 | − | 0.0559509i | ||||
\(565\) | 33.1329 | + | 19.1293i | 1.39391 | + | 0.804774i | ||||
\(566\) | −29.3853 | −1.23516 | ||||||||
\(567\) | 16.9140 | + | 16.7606i | 0.710321 | + | 0.703878i | ||||
\(568\) | 1.94304 | 0.0815282 | ||||||||
\(569\) | −31.8084 | − | 18.3646i | −1.33348 | − | 0.769885i | −0.347648 | − | 0.937625i | \(-0.613020\pi\) |
−0.985831 | + | 0.167740i | \(0.946353\pi\) | |||||||
\(570\) | 11.2628 | + | 4.22274i | 0.471749 | + | 0.176871i | ||||
\(571\) | −5.61387 | − | 9.72351i | −0.234933 | − | 0.406916i | 0.724320 | − | 0.689464i | \(-0.242154\pi\) |
−0.959253 | + | 0.282548i | \(0.908820\pi\) | |||||||
\(572\) | −5.61811 | − | 9.73085i | −0.234905 | − | 0.406867i | ||||
\(573\) | −6.83819 | − | 8.31085i | −0.285670 | − | 0.347191i | ||||
\(574\) | −16.8907 | − | 22.0360i | −0.705005 | − | 0.919767i | ||||
\(575\) | − | 63.4114i | − | 2.64444i | ||||||
\(576\) | −2.26053 | − | 1.97231i | −0.0941887 | − | 0.0821796i | ||||
\(577\) | − | 36.5515i | − | 1.52166i | −0.648952 | − | 0.760829i | \(-0.724792\pi\) | ||
0.648952 | − | 0.760829i | \(-0.275208\pi\) | |||||||
\(578\) | 14.2455 | + | 8.22463i | 0.592534 | + | 0.342100i | ||||
\(579\) | 2.21916 | + | 13.3360i | 0.0922253 | + | 0.554226i | ||||
\(580\) | −9.73085 | + | 5.61811i | −0.404052 | + | 0.233279i | ||||
\(581\) | −2.77248 | − | 21.1436i | −0.115022 | − | 0.877186i | ||||
\(582\) | 5.35061 | + | 32.1544i | 0.221790 | + | 1.33284i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 4.85486 | 0.200896 | ||||||||
\(585\) | 10.7682 | + | 31.4596i | 0.445209 | + | 1.30069i | ||||
\(586\) | 6.62413i | 0.273640i | ||||||||
\(587\) | 4.99738 | − | 8.65571i | 0.206264 | − | 0.357259i | −0.744271 | − | 0.667878i | \(-0.767203\pi\) |
0.950535 | + | 0.310619i | \(0.100536\pi\) | |||||||
\(588\) | 12.0662 | + | 1.18559i | 0.497604 | + | 0.0488927i | ||||
\(589\) | 3.13376 | + | 5.42784i | 0.129124 | + | 0.223650i | ||||
\(590\) | 0.0712195 | − | 0.0411186i | 0.00293206 | − | 0.00169283i | ||||
\(591\) | 7.76719 | − | 20.7166i | 0.319499 | − | 0.852166i | ||||
\(592\) | −1.50079 | + | 2.59944i | −0.0616820 | + | 0.106836i | ||||
\(593\) | 7.78223 | 0.319578 | 0.159789 | − | 0.987151i | \(-0.448919\pi\) | ||||
0.159789 | + | 0.987151i | \(0.448919\pi\) | |||||||
\(594\) | 10.7574 | − | 17.4470i | 0.441382 | − | 0.715860i | ||||
\(595\) | 7.05696 | + | 2.92737i | 0.289307 | + | 0.120010i | ||||
\(596\) | 9.52765 | + | 5.50079i | 0.390268 | + | 0.225321i | ||||
\(597\) | −1.10181 | + | 2.93873i | −0.0450940 | + | 0.120274i | ||||
\(598\) | −15.4256 | + | 8.90597i | −0.630800 | + | 0.364192i | ||||
\(599\) | 21.6614 | − | 12.5062i | 0.885061 | − | 0.510990i | 0.0127373 | − | 0.999919i | \(-0.495945\pi\) |
0.872324 | + | 0.488929i | \(0.162612\pi\) | |||||||
\(600\) | 11.1599 | + | 13.5633i | 0.455601 | + | 0.553718i | ||||
\(601\) | 25.9925 | + | 15.0068i | 1.06026 | + | 0.612139i | 0.925503 | − | 0.378740i | \(-0.123643\pi\) |
0.134753 | + | 0.990879i | \(0.456976\pi\) | |||||||
\(602\) | −0.956010 | + | 2.30464i | −0.0389640 | + | 0.0939300i | ||||
\(603\) | 7.77106 | − | 39.5924i | 0.316462 | − | 1.61233i | ||||
\(604\) | 1.43998 | 0.0585918 | ||||||||
\(605\) | 8.87179 | − | 15.3664i | 0.360689 | − | 0.624732i | ||||
\(606\) | 14.1496 | − | 2.35454i | 0.574786 | − | 0.0956467i | ||||
\(607\) | 3.96882 | − | 2.29140i | 0.161089 | − | 0.0930050i | −0.417288 | − | 0.908774i | \(-0.637019\pi\) |
0.578378 | + | 0.815769i | \(0.303686\pi\) | |||||||
\(608\) | −0.892369 | − | 1.54563i | −0.0361903 | − | 0.0626835i | ||||
\(609\) | −12.8895 | − | 2.99521i | −0.522309 | − | 0.121372i | ||||
\(610\) | −4.80380 | + | 8.32043i | −0.194500 | + | 0.336884i | ||||
\(611\) | − | 6.22468i | − | 0.251823i | ||||||
\(612\) | 0.428799 | − | 2.18467i | 0.0173332 | − | 0.0883099i | ||||
\(613\) | 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 | ||||
\(615\) | 54.6151 | − | 44.9375i | 2.20229 | − | 1.81206i | ||||
\(616\) | −1.35688 | − | 10.3479i | −0.0546701 | − | 0.416929i | ||||
\(617\) | −28.2484 | + | 16.3092i | −1.13724 | + | 0.656585i | −0.945745 | − | 0.324909i | \(-0.894666\pi\) |
−0.191493 | + | 0.981494i | \(0.561333\pi\) | |||||||
\(618\) | −27.6497 | − | 10.3666i | −1.11224 | − | 0.417006i | ||||
\(619\) | −17.3244 | − | 10.0023i | −0.696327 | − | 0.402024i | 0.109651 | − | 0.993970i | \(-0.465027\pi\) |
−0.805978 | + | 0.591946i | \(0.798360\pi\) | |||||||
\(620\) | 13.6646i | 0.548782i | ||||||||
\(621\) | −27.6575 | − | 17.0529i | −1.10986 | − | 0.684311i | ||||
\(622\) | 6.29800i | 0.252527i | ||||||||
\(623\) | 19.4582 | − | 14.9148i | 0.779575 | − | 0.597548i | ||||
\(624\) | 1.73205 | − | 4.61971i | 0.0693375 | − | 0.184937i | ||||
\(625\) | −13.5657 | − | 23.4965i | −0.542628 | − | 0.939859i | ||||
\(626\) | −11.1095 | − | 19.2423i | −0.444026 | − | 0.769076i | ||||
\(627\) | 9.41614 | − | 7.74763i | 0.376044 | − | 0.309411i | ||||
\(628\) | −14.3822 | − | 8.30354i | −0.573910 | − | 0.331347i | ||||
\(629\) | −2.22752 | −0.0888171 | ||||||||
\(630\) | −1.95774 | + | 30.8227i | −0.0779981 | + | 1.22800i | ||||
\(631\) | 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 | ||||
\(633\) | −1.07336 | − | 6.45036i | −0.0426624 | − | 0.256379i | ||||
\(634\) | −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 | ||||||||
\(639\) | −3.83228 | + | 4.39230i | −0.151603 | + | 0.173757i | ||||
\(640\) | − | 3.89111i | − | 0.153810i | ||||||
\(641\) | 28.9612 | + | 16.7207i | 1.14390 | + | 0.660429i | 0.947393 | − | 0.320074i | \(-0.103708\pi\) |
0.196504 | + | 0.980503i | \(0.437041\pi\) | |||||||
\(642\) | −19.1756 | + | 15.7778i | −0.756801 | + | 0.622699i | ||||
\(643\) | −16.6022 | + | 9.58527i | −0.654726 | + | 0.378006i | −0.790264 | − | 0.612766i | \(-0.790057\pi\) |
0.135539 | + | 0.990772i | \(0.456724\pi\) | |||||||
\(644\) | −16.4038 | + | 2.15096i | −0.646398 | + | 0.0847595i | ||||
\(645\) | −5.95121 | − | 2.23126i | −0.234328 | − | 0.0878559i | ||||
\(646\) | 0.662242 | − | 1.14704i | 0.0260556 | − | 0.0451296i | ||||
\(647\) | 44.6049 | 1.75360 | 0.876800 | − | 0.480854i | \(-0.159673\pi\) | ||||
0.876800 | + | 0.480854i | \(0.159673\pi\) | |||||||
\(648\) | 8.91693 | − | 1.21999i | 0.350290 | − | 0.0479257i | ||||
\(649\) | − | 0.0833680i | − | 0.00327248i | ||||||
\(650\) | −14.4430 | + | 25.0159i | −0.566500 | + | 0.981206i | ||||
\(651\) | −10.9921 | + | 11.7538i | −0.430814 | + | 0.460668i | ||||
\(652\) | −6.19773 | − | 10.7348i | −0.242722 | − | 0.420407i | ||||
\(653\) | −0.564755 | + | 0.326061i | −0.0221006 | + | 0.0127598i | −0.511010 | − | 0.859575i | \(-0.670728\pi\) |
0.488909 | + | 0.872335i | \(0.337395\pi\) | |||||||
\(654\) | −12.4136 | − | 15.0869i | −0.485410 | − | 0.589946i | ||||
\(655\) | −29.3100 | + | 50.7664i | −1.14524 | + | 1.98361i | ||||
\(656\) | −10.4941 | −0.409726 | ||||||||
\(657\) | −9.57529 | + | 10.9746i | −0.373568 | + | 0.428158i | ||||
\(658\) | 2.21530 | − | 5.34039i | 0.0863614 | − | 0.208190i | ||||
\(659\) | 26.2738 | + | 15.1692i | 1.02348 | + | 0.590908i | 0.915111 | − | 0.403202i | \(-0.132103\pi\) |
0.108372 | + | 0.994110i | \(0.465436\pi\) | |||||||
\(660\) | 26.2246 | − | 4.36387i | 1.02079 | − | 0.169863i | ||||
\(661\) | 11.1004 | − | 6.40881i | 0.431755 | − | 0.249274i | −0.268339 | − | 0.963325i | \(-0.586475\pi\) |
0.700094 | + | 0.714051i | \(0.253141\pi\) | |||||||
\(662\) | 1.10181 | − | 0.636129i | 0.0428230 | − | 0.0247239i | ||||
\(663\) | 3.61175 | − | 0.601008i | 0.140269 | − | 0.0233412i | ||||
\(664\) | −6.98012 | − | 4.02998i | −0.270881 | − | 0.156393i | ||||
\(665\) | −7.04011 | + | 16.9715i | −0.273004 | + | 0.658126i | ||||
\(666\) | −2.91610 | − | 8.51948i | −0.112996 | − | 0.330123i | ||||
\(667\) | 18.0569 | 0.699165 | ||||||||
\(668\) | −5.86087 | + | 10.1513i | −0.226764 | + | 0.392767i | ||||
\(669\) | −14.0624 | − | 17.0908i | −0.543683 | − | 0.660769i | ||||
\(670\) | 45.3214 | − | 26.1663i | 1.75092 | − | 1.01089i | ||||
\(671\) | 4.86986 | + | 8.43484i | 0.187999 | + | 0.325623i | ||||
\(672\) | 3.13010 | − | 3.34701i | 0.120746 | − | 0.129114i | ||||
\(673\) | 11.2246 | − | 19.4416i | 0.432678 | − | 0.749420i | −0.564425 | − | 0.825484i | \(-0.690902\pi\) |
0.997103 | + | 0.0760644i | \(0.0242355\pi\) | |||||||
\(674\) | 7.56002i | 0.291201i | ||||||||
\(675\) | −52.6710 | − | 1.52367i | −2.02731 | − | 0.0586461i | ||||
\(676\) | −4.88608 | −0.187926 | ||||||||
\(677\) | −25.5903 | + | 44.3237i | −0.983516 | + | 1.70350i | −0.335163 | + | 0.942160i | \(0.608791\pi\) |
−0.648353 | + | 0.761340i | \(0.724542\pi\) | |||||||
\(678\) | 15.9461 | + | 5.97860i | 0.612406 | + | 0.229607i | ||||
\(679\) | −49.3694 | + | 6.47360i | −1.89462 | + | 0.248434i | ||||
\(680\) | 2.50079 | − | 1.44383i | 0.0959009 | − | 0.0553684i | ||||
\(681\) | 26.7262 | − | 21.9904i | 1.02415 | − | 0.842673i | ||||
\(682\) | 11.9966 | + | 6.92623i | 0.459373 | + | 0.265219i | ||||
\(683\) | 14.5616i | 0.557184i | 0.960410 | + | 0.278592i | \(0.0898677\pi\) | ||||
−0.960410 | + | 0.278592i | \(0.910132\pi\) | |||||||
\(684\) | 5.25397 | + | 1.03123i | 0.200890 | + | 0.0394301i | ||||
\(685\) | 61.1681i | 2.33711i | ||||||||
\(686\) | −2.44590 | + | 18.3580i | −0.0933847 | + | 0.700913i | ||||
\(687\) | −17.3100 | + | 2.88045i | −0.660419 | + | 0.109896i | ||||
\(688\) | 0.471521 | + | 0.816699i | 0.0179766 | + | 0.0311363i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −6.91772 | − | 41.5719i | −0.263353 | − | 1.58261i | ||||
\(691\) | 21.1757 | + | 12.2258i | 0.805560 | + | 0.465090i | 0.845412 | − | 0.534115i | \(-0.179355\pi\) |
−0.0398517 | + | 0.999206i | \(0.512689\pi\) | |||||||
\(692\) | 16.7710 | 0.637536 | ||||||||
\(693\) | 26.0679 | + | 17.3420i | 0.990238 | + | 0.658768i | ||||
\(694\) | −22.1091 | −0.839250 | ||||||||
\(695\) | 11.1431 | + | 6.43347i | 0.422682 | + | 0.244035i | ||||
\(696\) | −3.86224 | + | 3.17787i | −0.146398 | + | 0.120457i | ||||
\(697\) | −3.89393 | − | 6.74448i | −0.147493 | − | 0.255465i | ||||
\(698\) | −7.37173 | − | 12.7682i | −0.279024 | − | 0.483284i | ||||
\(699\) | 4.44495 | − | 11.8555i | 0.168123 | − | 0.448417i | ||||
\(700\) | −21.2941 | + | 16.3220i | −0.804841 | + | 0.616914i | ||||
\(701\) | 2.21697i | 0.0837337i | 0.999123 | + | 0.0418669i | \(0.0133305\pi\) | ||||
−0.999123 | + | 0.0418669i | \(0.986669\pi\) | |||||||
\(702\) | 7.02686 | + | 13.0269i | 0.265212 | + | 0.491667i | ||||
\(703\) | − | 5.35703i | − | 0.202044i | ||||||
\(704\) | −3.41614 | − | 1.97231i | −0.128751 | − | 0.0743342i | ||||
\(705\) | 13.7903 | + | 5.17036i | 0.519375 | + | 0.194727i | ||||
\(706\) | 14.9629 | − | 8.63881i | 0.563135 | − | 0.325126i | ||||
\(707\) | 2.84871 | + | 21.7250i | 0.107137 | + | 0.817054i | ||||
\(708\) | 0.0282675 | − | 0.0232586i | 0.00106236 | − | 0.000874112i | ||||
\(709\) | 12.1962 | − | 21.1244i | 0.458036 | − | 0.793342i | −0.540821 | − | 0.841138i | \(-0.681886\pi\) |
0.998857 | + | 0.0477959i | \(0.0152197\pi\) | |||||||
\(710\) | −7.56060 | −0.283744 | ||||||||
\(711\) | −10.3206 | + | 3.53258i | −0.387051 | + | 0.132482i | ||||
\(712\) | − | 9.26646i | − | 0.347275i | ||||||
\(713\) | 10.9796 | − | 19.0173i | 0.411190 | − | 0.712203i | ||||
\(714\) | 3.31255 | + | 0.769756i | 0.123969 | + | 0.0288074i | ||||
\(715\) | 21.8607 | + | 37.8639i | 0.817544 | + | 1.41603i | ||||
\(716\) | −5.00158 | + | 2.88766i | −0.186918 | + | 0.107917i | ||||
\(717\) | 14.3688 | − | 2.39102i | 0.536611 | − | 0.0892941i | ||||
\(718\) | −5.45647 | + | 9.45088i | −0.203634 | + | 0.352704i | ||||
\(719\) | 2.22752 | 0.0830725 | 0.0415363 | − | 0.999137i | \(-0.486775\pi\) | ||||
0.0415363 | + | 0.999137i | \(0.486775\pi\) | |||||||
\(720\) | 8.79598 | + | 7.67448i | 0.327807 | + | 0.286011i | ||||
\(721\) | 17.2831 | − | 41.6641i | 0.643657 | − | 1.55165i | ||||
\(722\) | −13.6959 | − | 7.90736i | −0.509710 | − | 0.294281i | ||||
\(723\) | 9.85181 | + | 11.9735i | 0.366393 | + | 0.445298i | ||||
\(724\) | −4.79180 | + | 2.76655i | −0.178086 | + | 0.102818i | ||||
\(725\) | 25.3599 | − | 14.6416i | 0.941844 | − | 0.543774i | ||||
\(726\) | 2.77276 | − | 7.39549i | 0.102907 | − | 0.274472i | ||||
\(727\) | −10.4880 | − | 6.05523i | −0.388977 | − | 0.224576i | 0.292740 | − | 0.956192i | \(-0.405433\pi\) |
−0.681717 | + | 0.731616i | \(0.738766\pi\) | |||||||
\(728\) | 6.96124 | + | 2.88766i | 0.258001 | + | 0.107024i | ||||
\(729\) | −14.8291 | + | 22.5632i | −0.549227 | + | 0.835673i | ||||
\(730\) | −18.8908 | −0.699180 | ||||||||
\(731\) | −0.349924 | + | 0.606086i | −0.0129424 | + | 0.0224169i | ||||
\(732\) | −1.50137 | + | 4.00443i | −0.0554921 | + | 0.148008i | ||||
\(733\) | −13.5673 | + | 7.83306i | −0.501118 | + | 0.289321i | −0.729175 | − | 0.684327i | \(-0.760096\pi\) |
0.228057 | + | 0.973648i | \(0.426763\pi\) | |||||||
\(734\) | 17.8636 | + | 30.9407i | 0.659357 | + | 1.14204i | ||||
\(735\) | −46.9512 | − | 4.61325i | −1.73182 | − | 0.170162i | ||||
\(736\) | −3.12656 | + | 5.41535i | −0.115246 | + | 0.199613i | ||||
\(737\) | − | 53.0522i | − | 1.95420i | ||||||
\(738\) | 20.6976 | − | 23.7222i | 0.761890 | − | 0.873228i | ||||
\(739\) | −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 | ||||
\(741\) | 1.44538 | + | 8.68599i | 0.0530974 | + | 0.319088i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5429 | + | 6.08697i | −0.386783 | + | 0.223309i | −0.680765 | − | 0.732502i | \(-0.738353\pi\) |
0.293982 | + | 0.955811i | \(0.405019\pi\) | |||||||
\(744\) | 0.998423 | + | 6.00000i | 0.0366040 | + | 0.219971i | ||||
\(745\) | −37.0732 | − | 21.4042i | −1.35826 | − | 0.784189i | ||||
\(746\) | − | 32.0600i | − | 1.17380i | ||||||
\(747\) | 22.8769 | − | 7.83042i | 0.837020 | − | 0.286500i | ||||
\(748\) | − | 2.92737i | − | 0.107035i | ||||||
\(749\) | −23.0759 | − | 30.1054i | −0.843176 | − | 1.10003i | ||||
\(750\) | −22.0136 | − | 26.7544i | −0.803824 | − | 0.976934i | ||||
\(751\) | −17.3062 | − | 29.9752i | −0.631511 | − | 1.09381i | −0.987243 | − | 0.159221i | \(-0.949102\pi\) |
0.355732 | − | 0.934588i | \(-0.384232\pi\) | |||||||
\(752\) | −1.09263 | − | 1.89248i | −0.0398440 | − | 0.0690118i | ||||
\(753\) | −20.5049 | − | 7.68782i | −0.747240 | − | 0.280160i | ||||
\(754\) | −7.12348 | − | 4.11274i | −0.259422 | − | 0.149777i | ||||
\(755\) | −5.60311 | −0.203918 | ||||||||
\(756\) | 1.39248 | + | 13.6770i | 0.0506440 | + | 0.497429i | ||||
\(757\) | −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 | ||||
\(759\) | −40.0038 | − | 14.9985i | −1.45204 | − | 0.544410i | ||||
\(760\) | 3.47231 | + | 6.01422i | 0.125954 | + | 0.218159i | ||||
\(761\) | −5.11262 | − | 8.85532i | −0.185332 | − | 0.321005i | 0.758356 | − | 0.651840i | \(-0.226003\pi\) |
−0.943688 | + | 0.330835i | \(0.892670\pi\) | |||||||
\(762\) | −3.24055 | − | 3.93842i | −0.117393 | − | 0.142674i | ||||
\(763\) | 23.6862 | − | 18.1556i | 0.857499 | − | 0.657277i | ||||
\(764\) | − | 6.21372i | − | 0.224805i | ||||||
\(765\) | −1.66851 | + | 8.50079i | −0.0603250 | + | 0.307347i | ||||
\(766\) | − | 17.5342i | − | 0.633537i | ||||||
\(767\) | 0.0521363 | + | 0.0301009i | 0.00188253 | + | 0.00108688i | ||||
\(768\) | −0.284310 | − | 1.70856i | −0.0102592 | − | 0.0616522i | ||||
\(769\) | 26.6746 | − | 15.4006i | 0.961910 | − | 0.555359i | 0.0651494 | − | 0.997876i | \(-0.479248\pi\) |
0.896760 | + | 0.442517i | \(0.145914\pi\) | |||||||
\(770\) | 5.27976 | + | 40.2649i | 0.190269 | + | 1.45105i | ||||
\(771\) | 4.63613 | + | 27.8607i | 0.166966 | + | 1.00338i | ||||
\(772\) | −3.90271 | + | 6.75970i | −0.140462 | + | 0.243287i | ||||
\(773\) | 35.7833 | 1.28704 | 0.643518 | − | 0.765431i | \(-0.277474\pi\) | ||||
0.643518 | + | 0.765431i | \(0.277474\pi\) | |||||||
\(774\) | −2.77616 | − | 0.544895i | −0.0997869 | − | 0.0195859i | ||||
\(775\) | − | 35.6117i | − | 1.27921i | ||||||
\(776\) | −9.40980 | + | 16.2983i | −0.337792 | + | 0.585073i | ||||
\(777\) | 13.1597 | − | 4.00273i | 0.472101 | − | 0.143597i | ||||
\(778\) | 3.81086 | + | 6.60060i | 0.136626 | + | 0.236643i | ||||
\(779\) | 16.2200 | − | 9.36461i | 0.581141 | − | 0.335522i | ||||
\(780\) | −6.73961 | + | 17.9758i | −0.241317 | + | 0.643638i | ||||
\(781\) | −3.83228 | + | 6.63771i | −0.137130 | + | 0.237516i | ||||
\(782\) | −4.64054 | −0.165945 | ||||||||
\(783\) | 0.433877 | − | 14.9985i | 0.0155055 | − | 0.536001i | ||||
\(784\) | 4.94462 | + | 4.95487i | 0.176594 | + | 0.176960i | ||||
\(785\) | 55.9626 | + | 32.3100i | 1.99739 | + | 1.15319i | ||||
\(786\) | −9.16047 | + | 24.4327i | −0.326743 | + | 0.871486i | ||||
\(787\) | −13.2859 | + | 7.67064i | −0.473592 | + | 0.273429i | −0.717742 | − | 0.696309i | \(-0.754824\pi\) |
0.244150 | + | 0.969737i | \(0.421491\pi\) | |||||||
\(788\) | 11.0624 | − | 6.38687i | 0.394081 | − | 0.227523i | ||||
\(789\) | 26.1055 | + | 31.7275i | 0.929380 | + | 1.12953i | ||||
\(790\) | −12.2530 | − | 7.07430i | −0.435944 | − | 0.251692i | ||||
\(791\) | −9.96748 | + | 24.0284i | −0.354403 | + | 0.854353i | ||||
\(792\) | 11.1962 | − | 3.83228i | 0.397838 | − | 0.136174i | ||||
\(793\) | −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 | 0.989376 | + | 0.145379i | \(0.0464402\pi\) |
−0.368786 | + | 0.929514i | \(0.620226\pi\) | |||||||
\(798\) | −1.85121 | + | 7.96644i | −0.0655321 | + | 0.282009i | ||||
\(799\) | 0.810856 | − | 1.40444i | 0.0286860 | − | 0.0496857i | ||||
\(800\) | 10.1408i | 0.358530i | ||||||||
\(801\) | 20.9471 | + | 18.2763i | 0.740130 | + | 0.645763i | ||||
\(802\) | −21.4415 | −0.757124 | ||||||||
\(803\) | −9.57529 | + | 16.5849i | −0.337905 | + | 0.585268i | ||||
\(804\) | 17.9884 | − | 14.8009i | 0.634401 | − | 0.521987i | ||||
\(805\) | 63.8289 | − | 8.36961i | 2.24967 | − | 0.294990i | ||||
\(806\) | −8.66299 | + | 5.00158i | −0.305141 | + | 0.176173i | ||||
\(807\) | −11.8114 | − | 4.42841i | −0.415782 | − | 0.155888i | ||||
\(808\) | 7.17206 | + | 4.14079i | 0.252312 | + | 0.145673i | ||||
\(809\) | − | 27.2925i | − | 0.959553i | −0.877391 | − | 0.479777i | \(-0.840718\pi\) | ||
0.877391 | − | 0.479777i | \(-0.159282\pi\) | |||||||
\(810\) | −34.6968 | + | 4.74711i | −1.21912 | + | 0.166797i | ||||
\(811\) | − | 27.7628i | − | 0.974883i | −0.873156 | − | 0.487442i | \(-0.837930\pi\) | ||
0.873156 | − | 0.487442i | \(-0.162070\pi\) | |||||||
\(812\) | −4.64782 | − | 6.06365i | −0.163107 | − | 0.212793i | ||||
\(813\) | −13.7956 | + | 36.7955i | −0.483833 | + | 1.29047i | ||||
\(814\) | −5.92004 | − | 10.2538i | −0.207497 | − | 0.359396i | ||||
\(815\) | 24.1161 | + | 41.7703i | 0.844749 | + | 1.46315i | ||||
\(816\) | 0.992580 | − | 0.816699i | 0.0347473 | − | 0.0285902i | ||||
\(817\) | −1.45759 | − | 0.841542i | −0.0509947 | − | 0.0294418i | ||||
\(818\) | −29.5703 | −1.03390 | ||||||||
\(819\) | −20.2574 | + | 10.0407i | −0.707849 | + | 0.350851i | ||||
\(820\) | 40.8338 | 1.42598 | ||||||||
\(821\) | −38.4968 | − | 22.2262i | −1.34355 | − | 0.775698i | −0.356223 | − | 0.934401i | \(-0.615936\pi\) |
−0.987326 | + | 0.158703i | \(0.949269\pi\) | |||||||
\(822\) | 4.46934 | + | 26.8584i | 0.155886 | + | 0.936795i | ||||
\(823\) | 25.5577 | + | 44.2672i | 0.890884 | + | 1.54306i | 0.838818 | + | 0.544413i | \(0.183247\pi\) |
0.0520663 | + | 0.998644i | \(0.483419\pi\) | |||||||
\(824\) | −8.52435 | − | 14.7646i | −0.296960 | − | 0.514349i | ||||
\(825\) | −68.3448 | + | 11.3728i | −2.37946 | + | 0.395951i | ||||
\(826\) | 0.0340171 | + | 0.0443795i | 0.00118361 | + | 0.00154416i | ||||
\(827\) | 14.5414i | 0.505653i | 0.967512 | + | 0.252826i | \(0.0813601\pi\) | ||||
−0.967512 | + | 0.252826i | \(0.918640\pi\) | |||||||
\(828\) | −6.07503 | − | 17.7484i | −0.211122 | − | 0.616800i | ||||
\(829\) | 27.9681i | 0.971373i | 0.874133 | + | 0.485686i | \(0.161430\pi\) | ||||
−0.874133 | + | 0.485686i | \(0.838570\pi\) | |||||||
\(830\) | 27.1605 | + | 15.6811i | 0.942754 | + | 0.544299i | ||||
\(831\) | −32.3242 | + | 26.5964i | −1.12131 | + | 0.922620i | ||||
\(832\) | 2.46687 | − | 1.42425i | 0.0855233 | − | 0.0493769i | ||||
\(833\) | −1.34971 | + | 5.01641i | −0.0467648 | + | 0.173808i | ||||
\(834\) | 5.36291 | + | 2.01070i | 0.185703 | + | 0.0696247i | ||||
\(835\) | 22.8053 | − | 39.5000i | 0.789211 | − | 1.36695i | ||||
\(836\) | 7.04011 | 0.243487 | ||||||||
\(837\) | −15.5324 | − | 9.57689i | −0.536877 | − | 0.331026i | ||||
\(838\) | 7.12962i | 0.246289i | ||||||||
\(839\) | 0.499354 | − | 0.864906i | 0.0172396 | − | 0.0298599i | −0.857277 | − | 0.514856i | \(-0.827846\pi\) |
0.874517 | + | 0.484996i | \(0.161179\pi\) | |||||||
\(840\) | −12.1796 | + | 13.0236i | −0.420236 | + | 0.449357i | ||||
\(841\) | −10.3307 | − | 17.8933i | −0.356231 | − | 0.617011i | ||||
\(842\) | 4.00115 | − | 2.31007i | 0.137889 | − | 0.0796102i | ||||
\(843\) | −5.22568 | − | 6.35107i | −0.179982 | − | 0.218742i | ||||
\(844\) | 1.88766 | − | 3.26953i | 0.0649760 | − | 0.112542i | ||||
\(845\) | 19.0123 | 0.654044 | ||||||||
\(846\) | 6.43301 | + | 1.26265i | 0.221172 | + | 0.0434108i | ||||
\(847\) | 11.1439 | + | 4.62273i | 0.382910 | + | 0.158839i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 50.2064 | − | 8.35454i | 1.72308 | − | 0.286727i | ||||
\(850\) | −6.51739 | + | 3.76282i | −0.223545 | + | 0.129064i | ||||
\(851\) | −16.2546 | + | 9.38460i | −0.557200 | + | 0.321700i | ||||
\(852\) | −3.31980 | + | 0.552427i | −0.113734 | + | 0.0189258i | ||||
\(853\) | −8.48739 | − | 4.90020i | −0.290603 | − | 0.167780i | 0.347611 | − | 0.937639i | \(-0.386993\pi\) |
−0.638214 | + | 0.769859i | \(0.720326\pi\) | |||||||
\(854\) | −6.03410 | − | 2.50307i | −0.206483 | − | 0.0856531i | ||||
\(855\) | −20.4438 | − | 4.01264i | −0.699163 | − | 0.137229i | ||||
\(856\) | −14.3369 | −0.490026 | ||||||||
\(857\) | −3.85002 | + | 6.66842i | −0.131514 | + | 0.227789i | −0.924260 | − | 0.381763i | \(-0.875317\pi\) |
0.792746 | + | 0.609552i | \(0.208651\pi\) | |||||||
\(858\) | 12.3654 | + | 15.0284i | 0.422149 | + | 0.513062i | ||||
\(859\) | 16.4022 | − | 9.46979i | 0.559634 | − | 0.323105i | −0.193364 | − | 0.981127i | \(-0.561940\pi\) |
0.752999 | + | 0.658022i | \(0.228607\pi\) | |||||||
\(860\) | −1.83474 | − | 3.17787i | −0.0625642 | − | 0.108364i | ||||
\(861\) | 35.1239 | + | 32.8476i | 1.19702 | + | 1.11944i | ||||
\(862\) | 2.00385 | − | 3.47078i | 0.0682515 | − | 0.118215i | ||||
\(863\) | − | 17.4540i | − | 0.594141i | −0.954856 | − | 0.297070i | \(-0.903990\pi\) | ||
0.954856 | − | 0.297070i | \(-0.0960096\pi\) | |||||||
\(864\) | 4.42299 | + | 2.72711i | 0.150473 | + | 0.0927782i | ||||
\(865\) | −65.2578 | −2.21883 | ||||||||
\(866\) | 14.7063 | − | 25.4720i | 0.499740 | − | 0.865574i | ||||
\(867\) | −26.6776 | − | 10.0021i | −0.906018 | − | 0.339690i | ||||
\(868\) | −9.21232 | + | 1.20797i | −0.312686 | + | 0.0410013i | ||||
\(869\) | −12.4215 | + | 7.17157i | −0.421371 | + | 0.243279i | ||||
\(870\) | 15.0284 | − | 12.3654i | 0.509512 | − | 0.419228i | ||||
\(871\) | 33.1776 | + | 19.1551i | 1.12418 | + | 0.649045i | ||||
\(872\) | − | 11.2800i | − | 0.381988i | ||||||
\(873\) | −18.2836 | − | 53.4163i | −0.618808 | − | 1.80787i | ||||
\(874\) | − | 11.1602i | − | 0.377498i | ||||||
\(875\) | 42.0040 | − | 32.1963i | 1.41999 | − | 1.08843i | ||||
\(876\) | −8.29481 | + | 1.38029i | −0.280256 | + | 0.0466356i | ||||
\(877\) | −0.196152 | − | 0.339746i | −0.00662360 | − | 0.0114724i | 0.862695 | − | 0.505725i | \(-0.168775\pi\) |
−0.869318 | + | 0.494253i | \(0.835442\pi\) | |||||||
\(878\) | 10.6885 | + | 18.5130i | 0.360718 | + | 0.624782i | ||||
\(879\) | −1.88331 | − | 11.3177i | −0.0635224 | − | 0.381736i | ||||
\(880\) | 13.2926 | + | 7.67448i | 0.448093 | + | 0.258707i | ||||
\(881\) | −37.0259 | −1.24744 | −0.623718 | − | 0.781650i | \(-0.714378\pi\) | ||||
−0.623718 | + | 0.781650i | \(0.714378\pi\) | |||||||
\(882\) | −20.9530 | + | 1.40492i | −0.705523 | + | 0.0473061i | ||||
\(883\) | −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 | ||||
\(885\) | −0.109992 | + | 0.0905019i | −0.00369734 | + | 0.00304219i | ||||
\(886\) | −2.91693 | − | 5.05227i | −0.0979962 | − | 0.169734i | ||||
\(887\) | 14.4930 | + | 25.1026i | 0.486626 | + | 0.842861i | 0.999882 | − | 0.0153745i | \(-0.00489405\pi\) |
−0.513256 | + | 0.858236i | \(0.671561\pi\) | |||||||
\(888\) | 1.82513 | − | 4.86799i | 0.0612475 | − | 0.163359i | ||||
\(889\) | 6.18326 | − | 4.73950i | 0.207380 | − | 0.158958i | ||||
\(890\) | 36.0569i | 1.20863i | ||||||||
\(891\) | −13.4193 | + | 32.8677i | −0.449563 | + | 1.10111i | ||||
\(892\) | − | 12.7782i | − | 0.427846i | ||||||
\(893\) | 3.37759 | + | 1.95005i | 0.113027 | + | 0.0652560i | ||||
\(894\) | −17.8425 | − | 6.68960i | −0.596741 | − | 0.223734i | ||||
\(895\) | 19.4617 | − | 11.2362i | 0.650533 | − | 0.375586i | ||||
\(896\) | 2.62329 | − | 0.343982i | 0.0876381 | − | 0.0114916i | ||||
\(897\) | 23.8235 | − | 19.6020i | 0.795442 | − | 0.654492i | ||||
\(898\) | 11.2912 | − | 19.5569i | 0.376791 | − | 0.652621i | ||||
\(899\) | 10.1407 | 0.338211 | ||||||||
\(900\) | −22.9235 | − | 20.0007i | −0.764117 | − | 0.666691i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 20.6976 | − | 35.8493i | 0.689156 | − | 1.19365i | ||||
\(903\) | 0.978165 | − | 4.20941i | 0.0325513 | − | 0.140080i | ||||
\(904\) | 4.91614 | + | 8.51501i | 0.163508 | + | 0.283205i | ||||
\(905\) | 18.6455 | − | 10.7650i | 0.619796 | − | 0.357839i | ||||
\(906\) | −2.46028 | + | 0.409400i | −0.0817374 | + | 0.0136014i | ||||
\(907\) | 1.94773 | − | 3.37357i | 0.0646733 | − | 0.112017i | −0.831876 | − | 0.554962i | \(-0.812733\pi\) |
0.896549 | + | 0.442945i | \(0.146066\pi\) | |||||||
\(908\) | 19.9822 | 0.663133 | ||||||||
\(909\) | −23.5059 | + | 8.04573i | −0.779642 | + | 0.266860i | ||||
\(910\) | −27.0870 | − | 11.2362i | −0.897924 | − | 0.372477i | ||||
\(911\) | 1.32768 | + | 0.766538i | 0.0439881 | + | 0.0253966i | 0.521833 | − | 0.853048i | \(-0.325248\pi\) |
−0.477845 | + | 0.878444i | \(0.658582\pi\) | |||||||
\(912\) | 1.96410 | + | 2.38708i | 0.0650379 | + | 0.0790443i | ||||
\(913\) | 27.5339 | − | 15.8967i | 0.911240 | − | 0.526105i | ||||
\(914\) | 34.5218 | − | 19.9311i | 1.14188 | − | 0.659264i | ||||
\(915\) | 5.84199 | − | 15.5817i | 0.193130 | − | 0.515115i | ||||
\(916\) | −8.77402 | − | 5.06568i | −0.289902 | − | 0.167375i | ||||
\(917\) | −36.8166 | − | 15.2723i | −1.21579 | − | 0.504334i | ||||
\(918\) | −0.111505 | + | 3.85454i | −0.00368020 | + | 0.127219i | ||||
\(919\) | 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 | ||||
\(921\) | 13.2096 | − | 35.2325i | 0.435270 | − | 1.16095i | ||||
\(922\) | 6.37834 | − | 3.68254i | 0.210059 | − | 0.121278i | ||||
\(923\) | −2.76737 | − | 4.79323i | −0.0910892 | − | 0.157771i | ||||
\(924\) | 5.26032 | + | 17.2942i | 0.173052 | + | 0.568938i | ||||
\(925\) | −15.2192 | + | 26.3603i | −0.500403 | + | 0.866723i | ||||
\(926\) | 28.6914i | 0.942859i | ||||||||
\(927\) | 50.1885 | + | 9.85083i | 1.64841 | + | 0.323544i | ||||
\(928\) | −2.88766 | −0.0947921 | ||||||||
\(929\) | −1.64363 | + | 2.84685i | −0.0539257 | + | 0.0934021i | −0.891728 | − | 0.452571i | \(-0.850507\pi\) |
0.837802 | + | 0.545974i | \(0.183840\pi\) | |||||||
\(930\) | −3.88498 | − | 23.3467i | −0.127393 | − | 0.765568i | ||||
\(931\) | −12.0641 | − | 3.24596i | −0.395385 | − | 0.106382i | ||||
\(932\) | 6.33070 | − | 3.65503i | 0.207369 | − | 0.119725i | ||||
\(933\) | −1.79059 | − | 10.7605i | −0.0586211 | − | 0.352282i | ||||
\(934\) | 11.8389 | + | 6.83519i | 0.387380 | + | 0.223654i | ||||
\(935\) | 11.3907i | 0.372517i | ||||||||
\(936\) | −1.64588 | + | 8.38548i | −0.0537971 | + | 0.274088i | ||||
\(937\) | 35.5084i | 1.16001i | 0.814613 | + | 0.580005i | \(0.196949\pi\) | ||||
−0.814613 | + | 0.580005i | \(0.803051\pi\) | |||||||
\(938\) | 21.6472 | + | 28.2414i | 0.706806 | + | 0.922115i | ||||
\(939\) | 24.4520 | + | 29.7180i | 0.797962 | + | 0.969809i | ||||
\(940\) | 4.25153 | + | 7.36387i | 0.138670 | + | 0.240183i | ||||
\(941\) | −6.24941 | − | 10.8243i | −0.203725 | − | 0.352862i | 0.746001 | − | 0.665945i | \(-0.231972\pi\) |
−0.949726 | + | 0.313083i | \(0.898638\pi\) | |||||||
\(942\) | 26.9335 | + | 10.0981i | 0.877541 | + | 0.329013i | ||||
\(943\) | −56.8293 | − | 32.8104i | −1.85062 | − | 1.06845i | ||||
\(944\) | 0.0211346 | 0.000687873 | ||||||||
\(945\) | −5.41829 | − | 53.2189i | −0.176257 | − | 1.73121i | ||||
\(946\) | −3.71994 | −0.120946 | ||||||||
\(947\) | 31.2769 | + | 18.0577i | 1.01636 | + | 0.586796i | 0.913048 | − | 0.407852i | \(-0.133722\pi\) |
0.103313 | + | 0.994649i | \(0.467056\pi\) | |||||||
\(948\) | −5.89711 | − | 2.21098i | −0.191529 | − | 0.0718093i | ||||
\(949\) | −6.91452 | − | 11.9763i | −0.224455 | − | 0.388767i | ||||
\(950\) | −9.04931 | − | 15.6739i | −0.293598 | − | 0.508527i | ||||
\(951\) | 17.2354 | + | 20.9471i | 0.558895 | + | 0.679257i | ||||
\(952\) | 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 | ||||
\(957\) | −3.23850 | − | 19.4617i | −0.104686 | − | 0.629108i | ||||
\(958\) | −9.01596 | + | 5.20537i | −0.291293 | + | 0.168178i | ||||
\(959\) | −41.2380 | + | 5.40737i | −1.33165 | + | 0.174613i | ||||
\(960\) | 1.10628 | + | 6.64819i | 0.0357052 | + | 0.214569i | ||||
\(961\) | −9.33386 | + | 16.1667i | −0.301092 | + | 0.521507i | ||||
\(962\) | 8.54997 | 0.275662 | ||||||||
\(963\) | 28.2769 | − | 32.4090i | 0.911209 | − | 1.04437i | ||||
\(964\) | 8.95213i | 0.288329i | ||||||||
\(965\) | 15.1859 | − | 26.3028i | 0.488851 | − | 0.846716i | ||||
\(966\) | 27.4152 | − | 8.33879i | 0.882070 | − | 0.268296i | ||||
\(967\) | 12.0000 | + | 20.7845i | 0.385893 | + | 0.668385i | 0.991893 | − | 0.127079i | \(-0.0405602\pi\) |
−0.606000 | + | 0.795465i | \(0.707227\pi\) | |||||||
\(968\) | 3.94910 | − | 2.28001i | 0.126929 | − | 0.0732824i | ||||
\(969\) | −0.805364 | + | 2.14806i | −0.0258720 | + | 0.0690056i | ||||
\(970\) | 36.6146 | − | 63.4184i | 1.17562 | − | 2.03624i | ||||
\(971\) | 33.3626 | 1.07066 | 0.535328 | − | 0.844644i | \(-0.320188\pi\) | ||||
0.535328 | + | 0.844644i | \(0.320188\pi\) | |||||||
\(972\) | −14.8882 | + | 4.61960i | −0.477540 | + | 0.148174i | ||||
\(973\) | −3.35222 | + | 8.08113i | −0.107467 | + | 0.259069i | ||||
\(974\) | −2.02520 | − | 1.16925i | −0.0648917 | − | 0.0374652i | ||||
\(975\) | 17.5643 | − | 46.8475i | 0.562509 | − | 1.50032i | ||||
\(976\) | −2.13832 | + | 1.23456i | −0.0684458 | + | 0.0395172i | ||||
\(977\) | −29.8846 | + | 17.2539i | −0.956091 | + | 0.552000i | −0.894968 | − | 0.446131i | \(-0.852802\pi\) |
−0.0611236 | + | 0.998130i | \(0.519468\pi\) | |||||||
\(978\) | 13.6412 | + | 16.5789i | 0.436197 | + | 0.530135i | ||||
\(979\) | 31.6555 | + | 18.2763i | 1.01172 | + | 0.584114i | ||||
\(980\) | −19.2401 | − | 19.2800i | −0.614602 | − | 0.615876i | ||||
\(981\) | 25.4987 | + | 22.2476i | 0.814111 | + | 0.710311i | ||||
\(982\) | 33.8844 | 1.08130 | ||||||||
\(983\) | 1.20651 | − | 2.08973i | 0.0384817 | − | 0.0666522i | −0.846143 | − | 0.532956i | \(-0.821081\pi\) |
0.884625 | + | 0.466304i | \(0.154415\pi\) | |||||||
\(984\) | 17.9298 | − | 2.98358i | 0.571581 | − | 0.0951132i | ||||
\(985\) | −43.0450 | + | 24.8521i | −1.37153 | + | 0.791852i | ||||
\(986\) | −1.07149 | − | 1.85588i | −0.0341232 | − | 0.0591032i | ||||
\(987\) | −2.26664 | + | 9.75419i | −0.0721479 | + | 0.310479i | ||||
\(988\) | −2.54191 | + | 4.40271i | −0.0808688 | + | 0.140069i | ||||
\(989\) | 5.89695i | 0.187512i | ||||||||
\(990\) | −43.5655 | + | 14.9118i | −1.38460 | + | 0.473930i | ||||
\(991\) | 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 | ||||
\(993\) | −1.70164 | + | 1.40012i | −0.0540000 | + | 0.0444314i | ||||
\(994\) | −0.668371 | − | 5.09717i | −0.0211994 | − | 0.161673i | ||||
\(995\) | 6.10612 | − | 3.52537i | 0.193577 | − | 0.111762i | ||||
\(996\) | 13.0717 | + | 4.90092i | 0.414193 | + | 0.155292i | ||||
\(997\) | −38.8449 | − | 22.4271i | −1.23023 | − | 0.710274i | −0.263152 | − | 0.964754i | \(-0.584762\pi\) |
−0.967078 | + | 0.254481i | \(0.918095\pi\) | |||||||
\(998\) | − | 16.6045i | − | 0.525605i | ||||||
\(999\) | 7.40449 | + | 13.7269i | 0.234268 | + | 0.434301i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))