Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | 12.0.74049191673856.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 2x^{10} + 4x^{8} + 8x^{6} + 16x^{4} + 32x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 645.1 | ||
Root | \(-0.314692 - 1.37876i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.645 |
Dual form | 841.2.d.f.605.1 |
$q$-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 \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.537213 | − | 2.35368i | −0.379867 | − | 1.66431i | −0.697876 | − | 0.716218i | \(-0.745871\pi\) |
0.318009 | − | 0.948088i | \(-0.396986\pi\) | |||||||
\(3\) | 2.17513 | + | 1.04749i | 1.25581 | + | 0.604767i | 0.939064 | − | 0.343742i | \(-0.111695\pi\) |
0.316749 | + | 0.948510i | \(0.397409\pi\) | |||||||
\(4\) | −3.44929 | + | 1.66109i | −1.72465 | + | 0.830546i | ||||
\(5\) | 0.222521 | + | 0.974928i | 0.0995144 | + | 0.436001i | 0.999999 | + | 0.00111393i | \(0.000354575\pi\) |
−0.900485 | + | 0.434887i | \(0.856788\pi\) | |||||||
\(6\) | 1.29695 | − | 5.68230i | 0.529476 | − | 2.31979i | ||||
\(7\) | 2.54832 | + | 1.22721i | 0.963176 | + | 0.463841i | 0.848287 | − | 0.529537i | \(-0.177634\pi\) |
0.114889 | + | 0.993378i | \(0.463349\pi\) | |||||||
\(8\) | 2.75222 | + | 3.45117i | 0.973056 | + | 1.22017i | ||||
\(9\) | 1.76350 | + | 2.21135i | 0.587832 | + | 0.737118i | ||||
\(10\) | 2.17513 | − | 1.04749i | 0.687837 | − | 0.331245i | ||||
\(11\) | 0.258258 | − | 0.323845i | 0.0778677 | − | 0.0976430i | −0.741372 | − | 0.671095i | \(-0.765824\pi\) |
0.819240 | + | 0.573452i | \(0.194396\pi\) | |||||||
\(12\) | −9.24264 | −2.66812 | ||||||||
\(13\) | −2.38699 | + | 2.99318i | −0.662031 | + | 0.830160i | −0.993563 | − | 0.113284i | \(-0.963863\pi\) |
0.331532 | + | 0.943444i | \(0.392434\pi\) | |||||||
\(14\) | 1.51947 | − | 6.65722i | 0.406095 | − | 1.77922i | ||||
\(15\) | −0.537213 | + | 2.35368i | −0.138708 | + | 0.607719i | ||||
\(16\) | 1.87047 | − | 2.34549i | 0.467617 | − | 0.586374i | ||||
\(17\) | −0.828427 | −0.200923 | −0.100462 | − | 0.994941i | \(-0.532032\pi\) | ||||
−0.100462 | + | 0.994941i | \(0.532032\pi\) | |||||||
\(18\) | 4.25745 | − | 5.33868i | 1.00349 | − | 1.25834i | ||||
\(19\) | 5.40581 | − | 2.60330i | 1.24018 | − | 0.597239i | 0.305317 | − | 0.952251i | \(-0.401238\pi\) |
0.934862 | + | 0.355012i | \(0.115523\pi\) | |||||||
\(20\) | −2.38699 | − | 2.99318i | −0.533746 | − | 0.669296i | ||||
\(21\) | 4.25745 | + | 5.33868i | 0.929053 | + | 1.16500i | ||||
\(22\) | −0.900969 | − | 0.433884i | −0.192087 | − | 0.0925043i | ||||
\(23\) | −0.813727 | + | 3.56517i | −0.169674 | + | 0.743389i | 0.816455 | + | 0.577409i | \(0.195936\pi\) |
−0.986129 | + | 0.165981i | \(0.946921\pi\) | |||||||
\(24\) | 2.37137 | + | 10.3897i | 0.484055 | + | 2.12078i | ||||
\(25\) | 3.60388 | − | 1.73553i | 0.720775 | − | 0.347107i | ||||
\(26\) | 8.32733 | + | 4.01023i | 1.63312 | + | 0.786471i | ||||
\(27\) | −0.0921712 | − | 0.403828i | −0.0177384 | − | 0.0777168i | ||||
\(28\) | −10.8284 | −2.04638 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 5.82843 | 1.06412 | ||||||||
\(31\) | 2.24102 | + | 9.81857i | 0.402500 | + | 1.76347i | 0.617220 | + | 0.786791i | \(0.288259\pi\) |
−0.214720 | + | 0.976676i | \(0.568884\pi\) | |||||||
\(32\) | 1.42874 | + | 0.688047i | 0.252569 | + | 0.121631i | ||||
\(33\) | 0.900969 | − | 0.433884i | 0.156839 | − | 0.0755295i | ||||
\(34\) | 0.445042 | + | 1.94986i | 0.0763241 | + | 0.334398i | ||||
\(35\) | −0.629384 | + | 2.75751i | −0.106385 | + | 0.466105i | ||||
\(36\) | −9.75608 | − | 4.69828i | −1.62601 | − | 0.783046i | ||||
\(37\) | 2.49396 | + | 3.12733i | 0.410004 | + | 0.514129i | 0.943364 | − | 0.331759i | \(-0.107642\pi\) |
−0.533360 | + | 0.845889i | \(0.679071\pi\) | |||||||
\(38\) | −9.03143 | − | 11.3250i | −1.46509 | − | 1.83717i | ||||
\(39\) | −8.32733 | + | 4.01023i | −1.33344 | + | 0.642151i | ||||
\(40\) | −2.75222 | + | 3.45117i | −0.435164 | + | 0.545678i | ||||
\(41\) | 4.48528 | 0.700483 | 0.350242 | − | 0.936659i | \(-0.386099\pi\) | ||||
0.350242 | + | 0.936659i | \(0.386099\pi\) | |||||||
\(42\) | 10.2784 | − | 12.8887i | 1.58599 | − | 1.98877i | ||||
\(43\) | 0.797913 | − | 3.49588i | 0.121681 | − | 0.533117i | −0.876940 | − | 0.480601i | \(-0.840419\pi\) |
0.998620 | − | 0.0525165i | \(-0.0167242\pi\) | |||||||
\(44\) | −0.352871 | + | 1.54603i | −0.0531973 | + | 0.233072i | ||||
\(45\) | −1.76350 | + | 2.21135i | −0.262886 | + | 0.329649i | ||||
\(46\) | 8.82843 | 1.30168 | ||||||||
\(47\) | 2.02175 | − | 2.53520i | 0.294903 | − | 0.369797i | −0.612202 | − | 0.790702i | \(-0.709716\pi\) |
0.907105 | + | 0.420905i | \(0.138287\pi\) | |||||||
\(48\) | 6.52539 | − | 3.14246i | 0.941859 | − | 0.453576i | ||||
\(49\) | 0.623490 | + | 0.781831i | 0.0890700 | + | 0.111690i | ||||
\(50\) | −6.02095 | − | 7.55003i | −0.851491 | − | 1.06774i | ||||
\(51\) | −1.80194 | − | 0.867767i | −0.252322 | − | 0.121512i | ||||
\(52\) | 3.26146 | − | 14.2894i | 0.452283 | − | 1.98158i | ||||
\(53\) | −2.11067 | − | 9.24747i | −0.289923 | − | 1.27024i | −0.884630 | − | 0.466294i | \(-0.845589\pi\) |
0.594706 | − | 0.803943i | \(-0.297268\pi\) | |||||||
\(54\) | −0.900969 | + | 0.433884i | −0.122606 | + | 0.0590441i | ||||
\(55\) | 0.373194 | + | 0.179721i | 0.0503214 | + | 0.0242335i | ||||
\(56\) | 2.77824 | + | 12.1722i | 0.371257 | + | 1.62659i | ||||
\(57\) | 14.4853 | 1.91862 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.65685 | −0.476082 | −0.238041 | − | 0.971255i | \(-0.576505\pi\) | ||||
−0.238041 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(60\) | −2.05668 | − | 9.01091i | −0.265516 | − | 1.16330i | ||||
\(61\) | −4.35026 | − | 2.09498i | −0.556994 | − | 0.268234i | 0.134138 | − | 0.990963i | \(-0.457173\pi\) |
−0.691132 | + | 0.722728i | \(0.742888\pi\) | |||||||
\(62\) | 21.9059 | − | 10.5493i | 2.78205 | − | 1.33977i | ||||
\(63\) | 1.78017 | + | 7.79942i | 0.224280 | + | 0.982635i | ||||
\(64\) | 2.18703 | − | 9.58201i | 0.273379 | − | 1.19775i | ||||
\(65\) | −3.44929 | − | 1.66109i | −0.427832 | − | 0.206033i | ||||
\(66\) | −1.50524 | − | 1.88751i | −0.185282 | − | 0.232336i | ||||
\(67\) | 3.52699 | + | 4.42271i | 0.430891 | + | 0.540320i | 0.949117 | − | 0.314924i | \(-0.101979\pi\) |
−0.518226 | + | 0.855243i | \(0.673408\pi\) | |||||||
\(68\) | 2.85749 | − | 1.37609i | 0.346521 | − | 0.166876i | ||||
\(69\) | −5.50443 | + | 6.90234i | −0.662656 | + | 0.830944i | ||||
\(70\) | 6.82843 | 0.816153 | ||||||||
\(71\) | −5.50443 | + | 6.90234i | −0.653256 | + | 0.819157i | −0.992590 | − | 0.121509i | \(-0.961227\pi\) |
0.339334 | + | 0.940666i | \(0.389798\pi\) | |||||||
\(72\) | −2.77824 | + | 12.1722i | −0.327418 | + | 1.43451i | ||||
\(73\) | 0.890084 | − | 3.89971i | 0.104176 | − | 0.456427i | −0.895753 | − | 0.444552i | \(-0.853363\pi\) |
0.999929 | − | 0.0118748i | \(-0.00377995\pi\) | |||||||
\(74\) | 6.02095 | − | 7.55003i | 0.699921 | − | 0.877673i | ||||
\(75\) | 9.65685 | 1.11508 | ||||||||
\(76\) | −14.3219 | + | 17.9591i | −1.64284 | + | 2.06005i | ||||
\(77\) | 1.05555 | − | 0.508326i | 0.120291 | − | 0.0579292i | ||||
\(78\) | 13.9124 | + | 17.4456i | 1.57527 | + | 1.97532i | ||||
\(79\) | 1.50524 | + | 1.88751i | 0.169352 | + | 0.212361i | 0.859264 | − | 0.511532i | \(-0.170922\pi\) |
−0.689911 | + | 0.723894i | \(0.742351\pi\) | |||||||
\(80\) | 2.70291 | + | 1.30165i | 0.302194 | + | 0.145529i | ||||
\(81\) | 2.11067 | − | 9.24747i | 0.234519 | − | 1.02750i | ||||
\(82\) | −2.40955 | − | 10.5569i | −0.266090 | − | 1.16582i | ||||
\(83\) | −6.89859 | + | 3.32218i | −0.757218 | + | 0.364657i | −0.772324 | − | 0.635229i | \(-0.780906\pi\) |
0.0151057 | + | 0.999886i | \(0.495192\pi\) | |||||||
\(84\) | −23.5533 | − | 11.3426i | −2.56987 | − | 1.23758i | ||||
\(85\) | −0.184342 | − | 0.807657i | −0.0199947 | − | 0.0876027i | ||||
\(86\) | −8.65685 | −0.933493 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.82843 | 0.194911 | ||||||||
\(89\) | −2.77824 | − | 12.1722i | −0.294492 | − | 1.29026i | −0.878201 | − | 0.478292i | \(-0.841256\pi\) |
0.583708 | − | 0.811964i | \(-0.301601\pi\) | |||||||
\(90\) | 6.15220 | + | 2.96274i | 0.648499 | + | 0.312301i | ||||
\(91\) | −9.75608 | + | 4.69828i | −1.02271 | + | 0.492513i | ||||
\(92\) | −3.11529 | − | 13.6490i | −0.324792 | − | 1.42301i | ||||
\(93\) | −5.41031 | + | 23.7041i | −0.561023 | + | 2.45800i | ||||
\(94\) | −7.05317 | − | 3.39663i | −0.727479 | − | 0.350335i | ||||
\(95\) | 3.74094 | + | 4.69099i | 0.383812 | + | 0.481285i | ||||
\(96\) | 2.38699 | + | 2.99318i | 0.243621 | + | 0.305491i | ||||
\(97\) | 4.04110 | − | 1.94609i | 0.410311 | − | 0.197596i | −0.217330 | − | 0.976098i | \(-0.569735\pi\) |
0.627641 | + | 0.778503i | \(0.284020\pi\) | |||||||
\(98\) | 1.50524 | − | 1.88751i | 0.152052 | − | 0.190667i | ||||
\(99\) | 1.17157 | 0.117748 | ||||||||
\(100\) | −9.54794 | + | 11.9727i | −0.954794 | + | 1.19727i | ||||
\(101\) | −0.521399 | + | 2.28440i | −0.0518811 | + | 0.227306i | −0.994221 | − | 0.107351i | \(-0.965763\pi\) |
0.942340 | + | 0.334657i | \(0.108620\pi\) | |||||||
\(102\) | −1.07443 | + | 4.70737i | −0.106384 | + | 0.466099i | ||||
\(103\) | −3.01048 | + | 3.77502i | −0.296631 | + | 0.371963i | −0.907704 | − | 0.419611i | \(-0.862167\pi\) |
0.611073 | + | 0.791574i | \(0.290738\pi\) | |||||||
\(104\) | −16.8995 | −1.65713 | ||||||||
\(105\) | −4.25745 | + | 5.33868i | −0.415485 | + | 0.521002i | ||||
\(106\) | −20.6317 | + | 9.93572i | −2.00393 | + | 0.965042i | ||||
\(107\) | −9.24537 | − | 11.5933i | −0.893784 | − | 1.12077i | −0.992079 | − | 0.125612i | \(-0.959910\pi\) |
0.0982954 | − | 0.995157i | \(-0.468661\pi\) | |||||||
\(108\) | 0.988722 | + | 1.23982i | 0.0951398 | + | 0.119302i | ||||
\(109\) | −11.4034 | − | 5.49160i | −1.09225 | − | 0.526000i | −0.201037 | − | 0.979584i | \(-0.564431\pi\) |
−0.891214 | + | 0.453583i | \(0.850145\pi\) | |||||||
\(110\) | 0.222521 | − | 0.974928i | 0.0212165 | − | 0.0929557i | ||||
\(111\) | 2.14885 | + | 9.41474i | 0.203960 | + | 0.893607i | ||||
\(112\) | 7.64497 | − | 3.68163i | 0.722382 | − | 0.347881i | ||||
\(113\) | −11.9952 | − | 5.77660i | −1.12842 | − | 0.543417i | −0.225934 | − | 0.974143i | \(-0.572543\pi\) |
−0.902483 | + | 0.430726i | \(0.858258\pi\) | |||||||
\(114\) | −7.78168 | − | 34.0938i | −0.728821 | − | 3.19317i | ||||
\(115\) | −3.65685 | −0.341003 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.8284 | −1.00109 | ||||||||
\(118\) | 1.96451 | + | 8.60708i | 0.180848 | + | 0.792346i | ||||
\(119\) | −2.11110 | − | 1.01665i | −0.193524 | − | 0.0931964i | ||||
\(120\) | −9.60149 | + | 4.62384i | −0.876492 | + | 0.422097i | ||||
\(121\) | 2.40955 | + | 10.5569i | 0.219050 | + | 0.959721i | ||||
\(122\) | −2.59389 | + | 11.3646i | −0.234840 | + | 1.02890i | ||||
\(123\) | 9.75608 | + | 4.69828i | 0.879676 | + | 0.423630i | ||||
\(124\) | −24.0395 | − | 30.1446i | −2.15881 | − | 2.70706i | ||||
\(125\) | 5.61141 | + | 7.03648i | 0.501900 | + | 0.629362i | ||||
\(126\) | 17.4011 | − | 8.37990i | 1.55021 | − | 0.746541i | ||||
\(127\) | 2.70791 | − | 3.39561i | 0.240288 | − | 0.301311i | −0.647035 | − | 0.762460i | \(-0.723991\pi\) |
0.887323 | + | 0.461149i | \(0.152563\pi\) | |||||||
\(128\) | −20.5563 | −1.81694 | ||||||||
\(129\) | 5.39746 | − | 6.76820i | 0.475220 | − | 0.595907i | ||||
\(130\) | −2.05668 | + | 9.01091i | −0.180383 | + | 0.790309i | ||||
\(131\) | 4.74275 | − | 20.7793i | 0.414376 | − | 1.81550i | −0.148447 | − | 0.988920i | \(-0.547427\pi\) |
0.562822 | − | 0.826578i | \(-0.309716\pi\) | |||||||
\(132\) | −2.38699 | + | 2.99318i | −0.207760 | + | 0.260523i | ||||
\(133\) | 16.9706 | 1.47153 | ||||||||
\(134\) | 8.51491 | − | 10.6774i | 0.735576 | − | 0.922383i | ||||
\(135\) | 0.373194 | − | 0.179721i | 0.0321194 | − | 0.0154679i | ||||
\(136\) | −2.28001 | − | 2.85904i | −0.195509 | − | 0.245161i | ||||
\(137\) | −7.48188 | − | 9.38198i | −0.639220 | − | 0.801556i | 0.351685 | − | 0.936118i | \(-0.385609\pi\) |
−0.990905 | + | 0.134562i | \(0.957037\pi\) | |||||||
\(138\) | 19.2030 | + | 9.24767i | 1.63467 | + | 0.787214i | ||||
\(139\) | −3.11529 | + | 13.6490i | −0.264236 | + | 1.15769i | 0.652370 | + | 0.757900i | \(0.273775\pi\) |
−0.916606 | + | 0.399792i | \(0.869082\pi\) | |||||||
\(140\) | −2.40955 | − | 10.5569i | −0.203644 | − | 0.892224i | ||||
\(141\) | 7.05317 | − | 3.39663i | 0.593984 | − | 0.286048i | ||||
\(142\) | 19.2030 | + | 9.24767i | 1.61148 | + | 0.776047i | ||||
\(143\) | 0.352871 | + | 1.54603i | 0.0295085 | + | 0.129285i | ||||
\(144\) | 8.48528 | 0.707107 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.65685 | −0.799207 | ||||||||
\(147\) | 0.537213 | + | 2.35368i | 0.0443086 | + | 0.194129i | ||||
\(148\) | −13.7972 | − | 6.64437i | −1.13412 | − | 0.546164i | ||||
\(149\) | 7.05317 | − | 3.39663i | 0.577818 | − | 0.278263i | −0.122062 | − | 0.992522i | \(-0.538951\pi\) |
0.699881 | + | 0.714260i | \(0.253237\pi\) | |||||||
\(150\) | −5.18779 | − | 22.7292i | −0.423581 | − | 1.85583i | ||||
\(151\) | 3.14692 | − | 13.7876i | 0.256093 | − | 1.12202i | −0.669296 | − | 0.742996i | \(-0.733404\pi\) |
0.925389 | − | 0.379020i | \(-0.123739\pi\) | |||||||
\(152\) | 23.8624 | + | 11.4915i | 1.93550 | + | 0.932086i | ||||
\(153\) | −1.46093 | − | 1.83195i | −0.118109 | − | 0.148104i | ||||
\(154\) | −1.76350 | − | 2.21135i | −0.142107 | − | 0.178196i | ||||
\(155\) | −9.07372 | + | 4.36967i | −0.728819 | + | 0.350981i | ||||
\(156\) | 22.0620 | − | 27.6649i | 1.76638 | − | 2.21497i | ||||
\(157\) | −8.48528 | −0.677199 | −0.338600 | − | 0.940931i | \(-0.609953\pi\) | ||||
−0.338600 | + | 0.940931i | \(0.609953\pi\) | |||||||
\(158\) | 3.63396 | − | 4.55685i | 0.289103 | − | 0.362523i | ||||
\(159\) | 5.09562 | − | 22.3254i | 0.404109 | − | 1.77052i | ||||
\(160\) | −0.352871 | + | 1.54603i | −0.0278969 | + | 0.122224i | ||||
\(161\) | −6.44885 | + | 8.08660i | −0.508240 | + | 0.637313i | ||||
\(162\) | −22.8995 | −1.79915 | ||||||||
\(163\) | −2.44965 | + | 3.07176i | −0.191871 | + | 0.240599i | −0.868457 | − | 0.495765i | \(-0.834888\pi\) |
0.676585 | + | 0.736364i | \(0.263459\pi\) | |||||||
\(164\) | −15.4711 | + | 7.45047i | −1.20809 | + | 0.581784i | ||||
\(165\) | 0.623490 | + | 0.781831i | 0.0485386 | + | 0.0608655i | ||||
\(166\) | 11.5254 | + | 14.4524i | 0.894543 | + | 1.12172i | ||||
\(167\) | 2.85749 | + | 1.37609i | 0.221119 | + | 0.106485i | 0.541164 | − | 0.840917i | \(-0.317984\pi\) |
−0.320045 | + | 0.947402i | \(0.603698\pi\) | |||||||
\(168\) | −6.70726 | + | 29.3864i | −0.517476 | + | 2.26721i | ||||
\(169\) | −0.368685 | − | 1.61531i | −0.0283604 | − | 0.124255i | ||||
\(170\) | −1.80194 | + | 0.867767i | −0.138202 | + | 0.0665547i | ||||
\(171\) | 15.2899 | + | 7.36325i | 1.16925 | + | 0.563082i | ||||
\(172\) | 3.05475 | + | 13.3837i | 0.232923 | + | 1.02050i | ||||
\(173\) | 12.3431 | 0.938432 | 0.469216 | − | 0.883083i | \(-0.344537\pi\) | ||||
0.469216 | + | 0.883083i | \(0.344537\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.3137 | 0.855236 | ||||||||
\(176\) | −0.276514 | − | 1.21149i | −0.0208430 | − | 0.0913191i | ||||
\(177\) | −7.95414 | − | 3.83051i | −0.597870 | − | 0.287919i | ||||
\(178\) | −27.1571 | + | 13.0782i | −2.03551 | + | 0.980251i | ||||
\(179\) | 1.44311 | + | 6.32268i | 0.107863 | + | 0.472579i | 0.999792 | + | 0.0204033i | \(0.00649502\pi\) |
−0.891929 | + | 0.452176i | \(0.850648\pi\) | |||||||
\(180\) | 2.40955 | − | 10.5569i | 0.179597 | − | 0.786868i | ||||
\(181\) | −7.49039 | − | 3.60718i | −0.556756 | − | 0.268120i | 0.134275 | − | 0.990944i | \(-0.457129\pi\) |
−0.691032 | + | 0.722824i | \(0.742844\pi\) | |||||||
\(182\) | 16.2994 | + | 20.4387i | 1.20819 | + | 1.51502i | ||||
\(183\) | −7.26793 | − | 9.11370i | −0.537261 | − | 0.673704i | ||||
\(184\) | −14.5436 | + | 7.00381i | −1.07217 | + | 0.516328i | ||||
\(185\) | −2.49396 | + | 3.12733i | −0.183360 | + | 0.229926i | ||||
\(186\) | 58.6985 | 4.30398 | ||||||||
\(187\) | −0.213948 | + | 0.268282i | −0.0156454 | + | 0.0196187i | ||||
\(188\) | −2.76242 | + | 12.1030i | −0.201470 | + | 0.882699i | ||||
\(189\) | 0.260699 | − | 1.14220i | 0.0189631 | − | 0.0830828i | ||||
\(190\) | 9.03143 | − | 11.3250i | 0.655208 | − | 0.821605i | ||||
\(191\) | −25.3137 | −1.83164 | −0.915818 | − | 0.401594i | \(-0.868456\pi\) | ||||
−0.915818 | + | 0.401594i | \(0.868456\pi\) | |||||||
\(192\) | 14.7941 | − | 18.5512i | 1.06767 | − | 1.33882i | ||||
\(193\) | −4.65943 | + | 2.24386i | −0.335393 | + | 0.161517i | −0.593998 | − | 0.804466i | \(-0.702451\pi\) |
0.258605 | + | 0.965983i | \(0.416737\pi\) | |||||||
\(194\) | −6.75141 | − | 8.46601i | −0.484723 | − | 0.607824i | ||||
\(195\) | −5.76269 | − | 7.22619i | −0.412675 | − | 0.517478i | ||||
\(196\) | −3.44929 | − | 1.66109i | −0.246378 | − | 0.118649i | ||||
\(197\) | −0.445042 | + | 1.94986i | −0.0317079 | + | 0.138921i | −0.988304 | − | 0.152495i | \(-0.951269\pi\) |
0.956596 | + | 0.291416i | \(0.0941264\pi\) | |||||||
\(198\) | −0.629384 | − | 2.75751i | −0.0447284 | − | 0.195968i | ||||
\(199\) | 0.437223 | − | 0.210556i | 0.0309939 | − | 0.0149259i | −0.418323 | − | 0.908299i | \(-0.637382\pi\) |
0.449317 | + | 0.893373i | \(0.351668\pi\) | |||||||
\(200\) | 15.9083 | + | 7.66102i | 1.12488 | + | 0.541716i | ||||
\(201\) | 3.03894 | + | 13.3144i | 0.214350 | + | 0.939129i | ||||
\(202\) | 5.65685 | 0.398015 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.65685 | 0.536087 | ||||||||
\(205\) | 0.998069 | + | 4.37283i | 0.0697082 | + | 0.305411i | ||||
\(206\) | 10.5025 | + | 5.05772i | 0.731741 | + | 0.352388i | ||||
\(207\) | −9.31885 | + | 4.48772i | −0.647705 | + | 0.311918i | ||||
\(208\) | 2.55572 | + | 11.1973i | 0.177207 | + | 0.776395i | ||||
\(209\) | 0.553027 | − | 2.42297i | 0.0382537 | − | 0.167600i | ||||
\(210\) | 14.8527 | + | 7.15270i | 1.02494 | + | 0.493583i | ||||
\(211\) | 12.0862 | + | 15.1556i | 0.832049 | + | 1.04336i | 0.998358 | + | 0.0572828i | \(0.0182437\pi\) |
−0.166309 | + | 0.986074i | \(0.553185\pi\) | |||||||
\(212\) | 22.6412 | + | 28.3912i | 1.55501 | + | 1.94992i | ||||
\(213\) | −19.2030 | + | 9.24767i | −1.31577 | + | 0.633640i | ||||
\(214\) | −22.3203 | + | 27.9888i | −1.52578 | + | 1.91327i | ||||
\(215\) | 3.58579 | 0.244549 | ||||||||
\(216\) | 1.14001 | − | 1.42952i | 0.0775676 | − | 0.0972666i | ||||
\(217\) | −6.33857 | + | 27.7711i | −0.430290 | + | 1.88522i | ||||
\(218\) | −6.79943 | + | 29.7902i | −0.460515 | + | 2.01765i | ||||
\(219\) | 6.02095 | − | 7.55003i | 0.406858 | − | 0.510184i | ||||
\(220\) | −1.58579 | −0.106914 | ||||||||
\(221\) | 1.97744 | − | 2.47964i | 0.133017 | − | 0.166798i | ||||
\(222\) | 21.0049 | − | 10.1154i | 1.40976 | − | 0.678904i | ||||
\(223\) | −1.97744 | − | 2.47964i | −0.132419 | − | 0.166049i | 0.711201 | − | 0.702989i | \(-0.248152\pi\) |
−0.843620 | + | 0.536940i | \(0.819580\pi\) | |||||||
\(224\) | 2.79653 | + | 3.50673i | 0.186851 | + | 0.234304i | ||||
\(225\) | 10.1933 | + | 4.90883i | 0.679553 | + | 0.327256i | ||||
\(226\) | −7.15230 | + | 31.3363i | −0.475764 | + | 2.08446i | ||||
\(227\) | 1.81180 | + | 7.93800i | 0.120253 | + | 0.526863i | 0.998790 | + | 0.0491879i | \(0.0156633\pi\) |
−0.878536 | + | 0.477675i | \(0.841480\pi\) | |||||||
\(228\) | −49.9640 | + | 24.0614i | −3.30895 | + | 1.59350i | ||||
\(229\) | −3.16665 | − | 1.52498i | −0.209258 | − | 0.100773i | 0.326319 | − | 0.945260i | \(-0.394192\pi\) |
−0.535577 | + | 0.844486i | \(0.679906\pi\) | |||||||
\(230\) | 1.96451 | + | 8.60708i | 0.129536 | + | 0.567534i | ||||
\(231\) | 2.82843 | 0.186097 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.3137 | 1.19977 | 0.599885 | − | 0.800086i | \(-0.295213\pi\) | ||||
0.599885 | + | 0.800086i | \(0.295213\pi\) | |||||||
\(234\) | 5.81717 | + | 25.4867i | 0.380280 | + | 1.66612i | ||||
\(235\) | 2.92152 | + | 1.40693i | 0.190579 | + | 0.0917779i | ||||
\(236\) | 12.6136 | − | 6.07437i | 0.821073 | − | 0.395408i | ||||
\(237\) | 1.29695 | + | 5.68230i | 0.0842458 | + | 0.369105i | ||||
\(238\) | −1.25877 | + | 5.51503i | −0.0815938 | + | 0.357486i | ||||
\(239\) | 17.7102 | + | 8.52879i | 1.14558 | + | 0.551682i | 0.907703 | − | 0.419614i | \(-0.137835\pi\) |
0.237876 | + | 0.971296i | \(0.423549\pi\) | |||||||
\(240\) | 4.51571 | + | 5.66252i | 0.291488 | + | 0.365514i | ||||
\(241\) | −11.4184 | − | 14.3182i | −0.735524 | − | 0.922319i | 0.263580 | − | 0.964638i | \(-0.415097\pi\) |
−0.999104 | + | 0.0423191i | \(0.986525\pi\) | |||||||
\(242\) | 23.5533 | − | 11.3426i | 1.51406 | − | 0.729133i | ||||
\(243\) | 13.5028 | − | 16.9320i | 0.866207 | − | 1.08619i | ||||
\(244\) | 18.4853 | 1.18340 | ||||||||
\(245\) | −0.623490 | + | 0.781831i | −0.0398333 | + | 0.0499494i | ||||
\(246\) | 5.81717 | − | 25.4867i | 0.370889 | − | 1.62497i | ||||
\(247\) | −5.11143 | + | 22.3946i | −0.325233 | + | 1.42494i | ||||
\(248\) | −27.7178 | + | 34.7570i | −1.76008 | + | 2.20707i | ||||
\(249\) | −18.4853 | −1.17146 | ||||||||
\(250\) | 13.5471 | − | 16.9876i | 0.856796 | − | 1.07439i | ||||
\(251\) | 18.0834 | − | 8.70851i | 1.14141 | − | 0.549676i | 0.234971 | − | 0.972002i | \(-0.424501\pi\) |
0.906444 | + | 0.422326i | \(0.138786\pi\) | |||||||
\(252\) | −19.0959 | − | 23.9455i | −1.20293 | − | 1.50842i | ||||
\(253\) | 0.944412 | + | 1.18425i | 0.0593746 | + | 0.0744535i | ||||
\(254\) | −9.44691 | − | 4.54939i | −0.592752 | − | 0.285454i | ||||
\(255\) | 0.445042 | − | 1.94986i | 0.0278696 | − | 0.122105i | ||||
\(256\) | 6.66908 | + | 29.2191i | 0.416817 | + | 1.82620i | ||||
\(257\) | 16.3720 | − | 7.88435i | 1.02126 | − | 0.491812i | 0.153159 | − | 0.988202i | \(-0.451055\pi\) |
0.868100 | + | 0.496389i | \(0.165341\pi\) | |||||||
\(258\) | −18.8298 | − | 9.06795i | −1.17229 | − | 0.564546i | ||||
\(259\) | 2.51754 | + | 11.0301i | 0.156432 | + | 0.685374i | ||||
\(260\) | 14.6569 | 0.908980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −51.4558 | −3.17895 | ||||||||
\(263\) | 0.613570 | + | 2.68823i | 0.0378344 | + | 0.165763i | 0.990316 | − | 0.138834i | \(-0.0443354\pi\) |
−0.952481 | + | 0.304597i | \(0.901478\pi\) | |||||||
\(264\) | 3.97707 | + | 1.91526i | 0.244772 | + | 0.117876i | ||||
\(265\) | 8.54594 | − | 4.11551i | 0.524973 | − | 0.252814i | ||||
\(266\) | −9.11681 | − | 39.9433i | −0.558987 | − | 2.44908i | ||||
\(267\) | 6.70726 | − | 29.3864i | 0.410477 | − | 1.79842i | ||||
\(268\) | −19.5122 | − | 9.39656i | −1.19189 | − | 0.573986i | ||||
\(269\) | −19.6124 | − | 24.5932i | −1.19579 | − | 1.49947i | −0.819607 | − | 0.572926i | \(-0.805808\pi\) |
−0.376182 | − | 0.926546i | \(-0.622763\pi\) | |||||||
\(270\) | −0.623490 | − | 0.781831i | −0.0379444 | − | 0.0475807i | ||||
\(271\) | 14.9168 | − | 7.18353i | 0.906128 | − | 0.436368i | 0.0780298 | − | 0.996951i | \(-0.475137\pi\) |
0.828099 | + | 0.560583i | \(0.189423\pi\) | |||||||
\(272\) | −1.54955 | + | 1.94307i | −0.0939551 | + | 0.117816i | ||||
\(273\) | −26.1421 | −1.58219 | ||||||||
\(274\) | −18.0629 | + | 22.6501i | −1.09122 | + | 1.36834i | ||||
\(275\) | 0.368685 | − | 1.61531i | 0.0222325 | − | 0.0974071i | ||||
\(276\) | 7.52098 | − | 32.9516i | 0.452710 | − | 1.98345i | ||||
\(277\) | −10.7949 | + | 13.5364i | −0.648604 | + | 0.813324i | −0.992049 | − | 0.125849i | \(-0.959835\pi\) |
0.343445 | + | 0.939173i | \(0.388406\pi\) | |||||||
\(278\) | 33.7990 | 2.02713 | ||||||||
\(279\) | −17.7603 | + | 22.2707i | −1.06328 | + | 1.33331i | ||||
\(280\) | −11.2488 | + | 5.41716i | −0.672247 | + | 0.323737i | ||||
\(281\) | 19.9333 | + | 24.9956i | 1.18912 | + | 1.49111i | 0.829947 | + | 0.557842i | \(0.188370\pi\) |
0.359175 | + | 0.933270i | \(0.383058\pi\) | |||||||
\(282\) | −11.7836 | − | 14.7762i | −0.701706 | − | 0.879911i | ||||
\(283\) | −10.5025 | − | 5.05772i | −0.624307 | − | 0.300650i | 0.0948571 | − | 0.995491i | \(-0.469761\pi\) |
−0.719164 | + | 0.694841i | \(0.755475\pi\) | |||||||
\(284\) | 7.52098 | − | 32.9516i | 0.446288 | − | 1.95532i | ||||
\(285\) | 3.22328 | + | 14.1221i | 0.190931 | + | 0.836521i | ||||
\(286\) | 3.44929 | − | 1.66109i | 0.203961 | − | 0.0982224i | ||||
\(287\) | 11.4300 | + | 5.50438i | 0.674689 | + | 0.324913i | ||||
\(288\) | 0.998069 | + | 4.37283i | 0.0588118 | + | 0.257671i | ||||
\(289\) | −16.3137 | −0.959630 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.8284 | 0.634774 | ||||||||
\(292\) | 3.40762 | + | 14.9298i | 0.199416 | + | 0.873698i | ||||
\(293\) | 6.89859 | + | 3.32218i | 0.403020 | + | 0.194084i | 0.624402 | − | 0.781103i | \(-0.285343\pi\) |
−0.221382 | + | 0.975187i | \(0.571057\pi\) | |||||||
\(294\) | 5.25123 | − | 2.52886i | 0.306258 | − | 0.147486i | ||||
\(295\) | −0.813727 | − | 3.56517i | −0.0473770 | − | 0.207572i | ||||
\(296\) | −3.92902 | + | 17.2142i | −0.228370 | + | 1.00055i | ||||
\(297\) | −0.154582 | − | 0.0744427i | −0.00896975 | − | 0.00431960i | ||||
\(298\) | −11.7836 | − | 14.7762i | −0.682608 | − | 0.855963i | ||||
\(299\) | −8.72886 | − | 10.9456i | −0.504803 | − | 0.633003i | ||||
\(300\) | −33.3093 | + | 16.0409i | −1.92311 | + | 0.926123i | ||||
\(301\) | 6.32352 | − | 7.92944i | 0.364482 | − | 0.457045i | ||||
\(302\) | −34.1421 | −1.96466 | ||||||||
\(303\) | −3.52699 | + | 4.42271i | −0.202620 | + | 0.254078i | ||||
\(304\) | 4.00538 | − | 17.5487i | 0.229724 | − | 1.00649i | ||||
\(305\) | 1.07443 | − | 4.70737i | 0.0615215 | − | 0.269543i | ||||
\(306\) | −3.52699 | + | 4.42271i | −0.201625 | + | 0.252829i | ||||
\(307\) | −2.89949 | −0.165483 | −0.0827415 | − | 0.996571i | \(-0.526368\pi\) | ||||
−0.0827415 | + | 0.996571i | \(0.526368\pi\) | |||||||
\(308\) | −2.79653 | + | 3.50673i | −0.159347 | + | 0.199815i | ||||
\(309\) | −10.5025 | + | 5.05772i | −0.597464 | + | 0.287724i | ||||
\(310\) | 15.1593 | + | 19.0092i | 0.860993 | + | 1.07965i | ||||
\(311\) | −1.67488 | − | 2.10023i | −0.0949735 | − | 0.119093i | 0.732074 | − | 0.681225i | \(-0.238553\pi\) |
−0.827047 | + | 0.562132i | \(0.809981\pi\) | |||||||
\(312\) | −36.7586 | − | 17.7020i | −2.08105 | − | 1.00218i | ||||
\(313\) | −2.18703 | + | 9.58201i | −0.123618 | + | 0.541607i | 0.874754 | + | 0.484568i | \(0.161023\pi\) |
−0.998372 | + | 0.0570392i | \(0.981834\pi\) | |||||||
\(314\) | 4.55840 | + | 19.9717i | 0.257246 | + | 1.12707i | ||||
\(315\) | −7.20775 | + | 3.47107i | −0.406111 | + | 0.195573i | ||||
\(316\) | −8.32733 | − | 4.01023i | −0.468449 | − | 0.225593i | ||||
\(317\) | −6.99958 | − | 30.6672i | −0.393136 | − | 1.72244i | −0.653497 | − | 0.756929i | \(-0.726699\pi\) |
0.260361 | − | 0.965511i | \(-0.416158\pi\) | |||||||
\(318\) | −55.2843 | −3.10019 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 9.82843 | 0.549426 | ||||||||
\(321\) | −7.96602 | − | 34.9014i | −0.444620 | − | 1.94801i | ||||
\(322\) | 22.4977 | + | 10.8343i | 1.25375 | + | 0.603773i | ||||
\(323\) | −4.47832 | + | 2.15665i | −0.249181 | + | 0.119999i | ||||
\(324\) | 8.08056 | + | 35.4032i | 0.448920 | + | 1.96685i | ||||
\(325\) | −3.40762 | + | 14.9298i | −0.189021 | + | 0.828154i | ||||
\(326\) | 8.54594 | + | 4.11551i | 0.473316 | + | 0.227937i | ||||
\(327\) | −19.0516 | − | 23.8899i | −1.05355 | − | 1.32112i | ||||
\(328\) | 12.3445 | + | 15.4795i | 0.681609 | + | 0.854711i | ||||
\(329\) | 8.26330 | − | 3.97940i | 0.455571 | − | 0.219391i | ||||
\(330\) | 1.50524 | − | 1.88751i | 0.0828606 | − | 0.103904i | ||||
\(331\) | 2.41421 | 0.132697 | 0.0663486 | − | 0.997797i | \(-0.478865\pi\) | ||||
0.0663486 | + | 0.997797i | \(0.478865\pi\) | |||||||
\(332\) | 18.2768 | − | 22.9184i | 1.00307 | − | 1.25781i | ||||
\(333\) | −2.51754 | + | 11.0301i | −0.137960 | + | 0.604443i | ||||
\(334\) | 1.70381 | − | 7.46488i | 0.0932284 | − | 0.408460i | ||||
\(335\) | −3.52699 | + | 4.42271i | −0.192700 | + | 0.241638i | ||||
\(336\) | 20.4853 | 1.11756 | ||||||||
\(337\) | −13.5914 | + | 17.0431i | −0.740373 | + | 0.928399i | −0.999297 | − | 0.0374991i | \(-0.988061\pi\) |
0.258923 | + | 0.965898i | \(0.416632\pi\) | |||||||
\(338\) | −3.60388 | + | 1.73553i | −0.196025 | + | 0.0944007i | ||||
\(339\) | −20.0403 | − | 25.1297i | −1.08844 | − | 1.36486i | ||||
\(340\) | 1.97744 | + | 2.47964i | 0.107242 | + | 0.134477i | ||||
\(341\) | 3.75846 | + | 1.80998i | 0.203532 | + | 0.0980158i | ||||
\(342\) | 9.11681 | − | 39.9433i | 0.492981 | − | 2.15989i | ||||
\(343\) | −3.77631 | − | 16.5451i | −0.203901 | − | 0.893350i | ||||
\(344\) | 14.2609 | − | 6.86770i | 0.768897 | − | 0.370281i | ||||
\(345\) | −7.95414 | − | 3.83051i | −0.428236 | − | 0.206228i | ||||
\(346\) | −6.63090 | − | 29.0519i | −0.356479 | − | 1.56184i | ||||
\(347\) | 2.48528 | 0.133417 | 0.0667084 | − | 0.997773i | \(-0.478750\pi\) | ||||
0.0667084 | + | 0.997773i | \(0.478750\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.14214 | −0.275252 | −0.137626 | − | 0.990484i | \(-0.543947\pi\) | ||||
−0.137626 | + | 0.990484i | \(0.543947\pi\) | |||||||
\(350\) | −6.07787 | − | 26.6289i | −0.324876 | − | 1.42337i | ||||
\(351\) | 1.42874 | + | 0.688047i | 0.0762607 | + | 0.0367252i | ||||
\(352\) | 0.591805 | − | 0.284998i | 0.0315433 | − | 0.0151905i | ||||
\(353\) | −6.00151 | − | 26.2944i | −0.319428 | − | 1.39951i | −0.838558 | − | 0.544812i | \(-0.816601\pi\) |
0.519130 | − | 0.854695i | \(-0.326256\pi\) | |||||||
\(354\) | −4.74275 | + | 20.7793i | −0.252074 | + | 1.10441i | ||||
\(355\) | −7.95414 | − | 3.83051i | −0.422162 | − | 0.203302i | ||||
\(356\) | 29.8022 | + | 37.3708i | 1.57951 | + | 1.98065i | ||||
\(357\) | −3.52699 | − | 4.42271i | −0.186668 | − | 0.234074i | ||||
\(358\) | 14.1063 | − | 6.79325i | 0.745543 | − | 0.359035i | ||||
\(359\) | −2.44965 | + | 3.07176i | −0.129288 | + | 0.162121i | −0.842262 | − | 0.539069i | \(-0.818776\pi\) |
0.712974 | + | 0.701190i | \(0.247348\pi\) | |||||||
\(360\) | −12.4853 | −0.658032 | ||||||||
\(361\) | 10.5993 | − | 13.2911i | 0.557859 | − | 0.699533i | ||||
\(362\) | −4.46623 | + | 19.5678i | −0.234740 | + | 1.02846i | ||||
\(363\) | −5.81717 | + | 25.4867i | −0.305322 | + | 1.33770i | ||||
\(364\) | 25.8473 | − | 32.4115i | 1.35477 | − | 1.69882i | ||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | −17.5463 | + | 22.0024i | −0.917162 | + | 1.15008i | ||||
\(367\) | 16.2174 | − | 7.80991i | 0.846543 | − | 0.407674i | 0.0402500 | − | 0.999190i | \(-0.487185\pi\) |
0.806293 | + | 0.591516i | \(0.201470\pi\) | |||||||
\(368\) | 6.84003 | + | 8.57713i | 0.356561 | + | 0.447114i | ||||
\(369\) | 7.90977 | + | 9.91854i | 0.411766 | + | 0.516339i | ||||
\(370\) | 8.70053 | + | 4.18995i | 0.452319 | + | 0.217825i | ||||
\(371\) | 5.96989 | − | 26.1558i | 0.309941 | − | 1.35794i | ||||
\(372\) | −20.7130 | − | 90.7495i | −1.07392 | − | 4.70514i | ||||
\(373\) | 23.7078 | − | 11.4171i | 1.22755 | − | 0.591155i | 0.296142 | − | 0.955144i | \(-0.404300\pi\) |
0.931403 | + | 0.363989i | \(0.118586\pi\) | |||||||
\(374\) | 0.746387 | + | 0.359441i | 0.0385948 | + | 0.0185863i | ||||
\(375\) | 4.83492 | + | 21.1832i | 0.249674 | + | 1.09389i | ||||
\(376\) | 14.3137 | 0.738173 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.82843 | −0.145479 | ||||||||
\(379\) | −1.55110 | − | 6.79580i | −0.0796745 | − | 0.349077i | 0.919340 | − | 0.393464i | \(-0.128723\pi\) |
−0.999014 | + | 0.0443876i | \(0.985866\pi\) | |||||||
\(380\) | −20.6958 | − | 9.96655i | −1.06167 | − | 0.511273i | ||||
\(381\) | 9.44691 | − | 4.54939i | 0.483980 | − | 0.233072i | ||||
\(382\) | 13.5989 | + | 59.5805i | 0.695778 | + | 3.04840i | ||||
\(383\) | 0.782098 | − | 3.42660i | 0.0399634 | − | 0.175091i | −0.951008 | − | 0.309167i | \(-0.899950\pi\) |
0.990971 | + | 0.134077i | \(0.0428068\pi\) | |||||||
\(384\) | −44.7128 | − | 21.5325i | −2.28174 | − | 1.09883i | ||||
\(385\) | 0.730464 | + | 0.915973i | 0.0372279 | + | 0.0466823i | ||||
\(386\) | 7.78445 | + | 9.76139i | 0.396218 | + | 0.496841i | ||||
\(387\) | 9.13775 | − | 4.40051i | 0.464498 | − | 0.223690i | ||||
\(388\) | −10.7063 | + | 13.4253i | −0.543530 | + | 0.681565i | ||||
\(389\) | −3.02944 | −0.153599 | −0.0767993 | − | 0.997047i | \(-0.524470\pi\) | ||||
−0.0767993 | + | 0.997047i | \(0.524470\pi\) | |||||||
\(390\) | −13.9124 | + | 17.4456i | −0.704480 | + | 0.883390i | ||||
\(391\) | 0.674113 | − | 2.95348i | 0.0340914 | − | 0.149364i | ||||
\(392\) | −0.982255 | + | 4.30354i | −0.0496114 | + | 0.217362i | ||||
\(393\) | 32.0822 | − | 40.2298i | 1.61833 | − | 2.02932i | ||||
\(394\) | 4.82843 | 0.243253 | ||||||||
\(395\) | −1.50524 | + | 1.88751i | −0.0757367 | + | 0.0949708i | ||||
\(396\) | −4.04110 | + | 1.94609i | −0.203073 | + | 0.0977947i | ||||
\(397\) | 12.0603 | + | 15.1231i | 0.605287 | + | 0.759006i | 0.986192 | − | 0.165609i | \(-0.0529589\pi\) |
−0.380905 | + | 0.924614i | \(0.624387\pi\) | |||||||
\(398\) | −0.730464 | − | 0.915973i | −0.0366148 | − | 0.0459136i | ||||
\(399\) | 36.9132 | + | 17.7765i | 1.84797 | + | 0.889936i | ||||
\(400\) | 2.67025 | − | 11.6991i | 0.133513 | − | 0.584957i | ||||
\(401\) | 4.15154 | + | 18.1891i | 0.207318 | + | 0.908320i | 0.966343 | + | 0.257258i | \(0.0828190\pi\) |
−0.759025 | + | 0.651062i | \(0.774324\pi\) | |||||||
\(402\) | 29.7055 | − | 14.3054i | 1.48157 | − | 0.713488i | ||||
\(403\) | −34.7381 | − | 16.7290i | −1.73043 | − | 0.833329i | ||||
\(404\) | −1.99614 | − | 8.74565i | −0.0993116 | − | 0.435112i | ||||
\(405\) | 9.48528 | 0.471327 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.65685 | 0.0821272 | ||||||||
\(408\) | −1.96451 | − | 8.60708i | −0.0972577 | − | 0.426114i | ||||
\(409\) | −17.0919 | − | 8.23102i | −0.845139 | − | 0.406998i | −0.0393683 | − | 0.999225i | \(-0.512535\pi\) |
−0.805771 | + | 0.592227i | \(0.798249\pi\) | |||||||
\(410\) | 9.75608 | − | 4.69828i | 0.481818 | − | 0.232031i | ||||
\(411\) | −6.44656 | − | 28.2442i | −0.317985 | − | 1.39318i | ||||
\(412\) | 4.11336 | − | 18.0218i | 0.202651 | − | 0.887871i | ||||
\(413\) | −9.31885 | − | 4.48772i | −0.458551 | − | 0.220826i | ||||
\(414\) | 15.5689 | + | 19.5228i | 0.765169 | + | 0.959492i | ||||
\(415\) | −4.77397 | − | 5.98637i | −0.234345 | − | 0.293859i | ||||
\(416\) | −5.46984 | + | 2.63414i | −0.268181 | + | 0.129149i | ||||
\(417\) | −21.0733 | + | 26.4251i | −1.03197 | + | 1.29404i | ||||
\(418\) | −6.00000 | −0.293470 | ||||||||
\(419\) | −5.93233 | + | 7.43891i | −0.289813 | + | 0.363414i | −0.905330 | − | 0.424710i | \(-0.860376\pi\) |
0.615516 | + | 0.788124i | \(0.288948\pi\) | |||||||
\(420\) | 5.81717 | − | 25.4867i | 0.283849 | − | 1.24362i | ||||
\(421\) | 8.25835 | − | 36.1822i | 0.402487 | − | 1.76341i | −0.214783 | − | 0.976662i | \(-0.568904\pi\) |
0.617270 | − | 0.786751i | \(-0.288238\pi\) | |||||||
\(422\) | 29.1787 | − | 36.5889i | 1.42040 | − | 1.78112i | ||||
\(423\) | 9.17157 | 0.445937 | ||||||||
\(424\) | 26.1056 | − | 32.7353i | 1.26780 | − | 1.58977i | ||||
\(425\) | −2.98555 | + | 1.43776i | −0.144820 | + | 0.0697418i | ||||
\(426\) | 32.0822 | + | 40.2298i | 1.55439 | + | 1.94914i | ||||
\(427\) | −8.51491 | − | 10.6774i | −0.412065 | − | 0.516714i | ||||
\(428\) | 51.1476 | + | 24.6314i | 2.47231 | + | 1.19060i | ||||
\(429\) | −0.851905 | + | 3.73244i | −0.0411304 | + | 0.180204i | ||||
\(430\) | −1.92633 | − | 8.43981i | −0.0928959 | − | 0.407004i | ||||
\(431\) | −17.7102 | + | 8.52879i | −0.853071 | + | 0.410817i | −0.808717 | − | 0.588199i | \(-0.799837\pi\) |
−0.0443544 | + | 0.999016i | \(0.514123\pi\) | |||||||
\(432\) | −1.11958 | − | 0.539162i | −0.0538658 | − | 0.0259404i | ||||
\(433\) | 6.81524 | + | 29.8595i | 0.327520 | + | 1.43496i | 0.823842 | + | 0.566819i | \(0.191826\pi\) |
−0.496323 | + | 0.868138i | \(0.665317\pi\) | |||||||
\(434\) | 68.7696 | 3.30104 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 48.4558 | 2.32061 | ||||||||
\(437\) | 4.88236 | + | 21.3910i | 0.233555 | + | 1.02327i | ||||
\(438\) | −21.0049 | − | 10.1154i | −1.00365 | − | 0.483334i | ||||
\(439\) | 0.309164 | − | 0.148885i | 0.0147556 | − | 0.00710591i | −0.426491 | − | 0.904492i | \(-0.640251\pi\) |
0.441247 | + | 0.897386i | \(0.354536\pi\) | |||||||
\(440\) | 0.406863 | + | 1.78258i | 0.0193964 | + | 0.0849814i | ||||
\(441\) | −0.629384 | + | 2.75751i | −0.0299707 | + | 0.131310i | ||||
\(442\) | −6.89859 | − | 3.32218i | −0.328132 | − | 0.158020i | ||||
\(443\) | 15.1777 | + | 19.0322i | 0.721114 | + | 0.904249i | 0.998400 | − | 0.0565385i | \(-0.0180064\pi\) |
−0.277286 | + | 0.960787i | \(0.589435\pi\) | |||||||
\(444\) | −23.0508 | − | 28.9047i | −1.09394 | − | 1.37176i | ||||
\(445\) | 11.2488 | − | 5.41716i | 0.533247 | − | 0.256798i | ||||
\(446\) | −4.77397 | + | 5.98637i | −0.226054 | + | 0.283463i | ||||
\(447\) | 18.8995 | 0.893915 | ||||||||
\(448\) | 17.3324 | − | 21.7341i | 0.818878 | − | 1.02684i | ||||
\(449\) | −7.78168 | + | 34.0938i | −0.367240 | + | 1.60898i | 0.367085 | + | 0.930187i | \(0.380356\pi\) |
−0.734325 | + | 0.678798i | \(0.762501\pi\) | |||||||
\(450\) | 6.07787 | − | 26.6289i | 0.286514 | − | 1.25530i | ||||
\(451\) | 1.15836 | − | 1.45254i | 0.0545450 | − | 0.0683973i | ||||
\(452\) | 50.9706 | 2.39745 | ||||||||
\(453\) | 21.2873 | − | 26.6934i | 1.00016 | − | 1.25417i | ||||
\(454\) | 17.7102 | − | 8.52879i | 0.831182 | − | 0.400276i | ||||
\(455\) | −6.75141 | − | 8.46601i | −0.316511 | − | 0.396892i | ||||
\(456\) | 39.8666 | + | 49.9912i | 1.86693 | + | 2.34105i | ||||
\(457\) | −0.927491 | − | 0.446656i | −0.0433862 | − | 0.0208937i | 0.412065 | − | 0.911155i | \(-0.364808\pi\) |
−0.455451 | + | 0.890261i | \(0.650522\pi\) | |||||||
\(458\) | −1.88815 | + | 8.27254i | −0.0882276 | + | 0.386550i | ||||
\(459\) | 0.0763571 | + | 0.334542i | 0.00356404 | + | 0.0156151i | ||||
\(460\) | 12.6136 | − | 6.07437i | 0.588110 | − | 0.283219i | ||||
\(461\) | 12.6136 | + | 6.07437i | 0.587472 | + | 0.282912i | 0.703913 | − | 0.710286i | \(-0.251434\pi\) |
−0.116441 | + | 0.993198i | \(0.537149\pi\) | |||||||
\(462\) | −1.51947 | − | 6.65722i | −0.0706920 | − | 0.309722i | ||||
\(463\) | −26.0000 | −1.20832 | −0.604161 | − | 0.796862i | \(-0.706492\pi\) | ||||
−0.604161 | + | 0.796862i | \(0.706492\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.3137 | −1.12752 | ||||||||
\(466\) | −9.83836 | − | 43.1047i | −0.455753 | − | 1.99679i | ||||
\(467\) | −34.5570 | − | 16.6418i | −1.59911 | − | 0.770089i | −0.599563 | − | 0.800328i | \(-0.704659\pi\) |
−0.999543 | + | 0.0302389i | \(0.990373\pi\) | |||||||
\(468\) | 37.3504 | − | 17.9870i | 1.72652 | − | 0.831450i | ||||
\(469\) | 3.56033 | + | 15.5988i | 0.164401 | + | 0.720288i | ||||
\(470\) | 1.74199 | − | 7.63215i | 0.0803520 | − | 0.352045i | ||||
\(471\) | −18.4566 | − | 8.88823i | −0.850435 | − | 0.409548i | ||||
\(472\) | −10.0645 | − | 12.6204i | −0.463254 | − | 0.580902i | ||||
\(473\) | −0.926058 | − | 1.16124i | −0.0425802 | − | 0.0533939i | ||||
\(474\) | 12.6776 | − | 6.10521i | 0.582301 | − | 0.280421i | ||||
\(475\) | 14.9638 | − | 18.7640i | 0.686584 | − | 0.860949i | ||||
\(476\) | 8.97056 | 0.411165 | ||||||||
\(477\) | 16.7273 | − | 20.9753i | 0.765888 | − | 0.960393i | ||||
\(478\) | 10.5599 | − | 46.2660i | 0.482999 | − | 2.11616i | ||||
\(479\) | 1.53528 | − | 6.72651i | 0.0701488 | − | 0.307342i | −0.927666 | − | 0.373410i | \(-0.878188\pi\) |
0.997815 | + | 0.0660682i | \(0.0210455\pi\) | |||||||
\(480\) | −2.38699 | + | 2.99318i | −0.108950 | + | 0.136620i | ||||
\(481\) | −15.3137 | −0.698245 | ||||||||
\(482\) | −27.5665 | + | 34.5673i | −1.25562 | + | 1.57450i | ||||
\(483\) | −22.4977 | + | 10.8343i | −1.02368 | + | 0.492979i | ||||
\(484\) | −25.8473 | − | 32.4115i | −1.17488 | − | 1.47325i | ||||
\(485\) | 2.79653 | + | 3.50673i | 0.126984 | + | 0.159233i | ||||
\(486\) | −47.1065 | − | 22.6853i | −2.13679 | − | 1.02903i | ||||
\(487\) | 2.56227 | − | 11.2260i | 0.116107 | − | 0.508700i | −0.883111 | − | 0.469164i | \(-0.844555\pi\) |
0.999218 | − | 0.0395351i | \(-0.0125877\pi\) | |||||||
\(488\) | −4.74275 | − | 20.7793i | −0.214694 | − | 0.940636i | ||||
\(489\) | −8.54594 | + | 4.11551i | −0.386461 | + | 0.186110i | ||||
\(490\) | 2.17513 | + | 1.04749i | 0.0982624 | + | 0.0473207i | ||||
\(491\) | −4.72693 | − | 20.7100i | −0.213323 | − | 0.934631i | −0.962290 | − | 0.272024i | \(-0.912307\pi\) |
0.748967 | − | 0.662607i | \(-0.230550\pi\) | |||||||
\(492\) | −41.4558 | −1.86897 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 55.4558 | 2.49508 | ||||||||
\(495\) | 0.260699 | + | 1.14220i | 0.0117176 | + | 0.0513380i | ||||
\(496\) | 27.2212 | + | 13.1090i | 1.22227 | + | 0.588612i | ||||
\(497\) | −22.4977 | + | 10.8343i | −1.00916 | + | 0.485986i | ||||
\(498\) | 9.93053 | + | 43.5085i | 0.444998 | + | 1.94966i | ||||
\(499\) | −4.22135 | + | 18.4949i | −0.188973 | + | 0.827947i | 0.788186 | + | 0.615438i | \(0.211021\pi\) |
−0.977159 | + | 0.212509i | \(0.931836\pi\) | |||||||
\(500\) | −31.0436 | − | 14.9498i | −1.38831 | − | 0.668577i | ||||
\(501\) | 4.77397 | + | 5.98637i | 0.213285 | + | 0.267451i | ||||
\(502\) | −30.2117 | − | 37.8843i | −1.34842 | − | 1.69086i | ||||
\(503\) | 0.245134 | − | 0.118050i | 0.0109300 | − | 0.00526360i | −0.428411 | − | 0.903584i | \(-0.640926\pi\) |
0.439341 | + | 0.898320i | \(0.355212\pi\) | |||||||
\(504\) | −22.0177 | + | 27.6094i | −0.980748 | + | 1.22982i | ||||
\(505\) | −2.34315 | −0.104269 | ||||||||
\(506\) | 2.28001 | − | 2.85904i | 0.101359 | − | 0.127100i | ||||
\(507\) | 0.890084 | − | 3.89971i | 0.0395300 | − | 0.173192i | ||||
\(508\) | −3.69995 | + | 16.2105i | −0.164159 | + | 0.719226i | ||||
\(509\) | −6.55582 | + | 8.22074i | −0.290582 | + | 0.364378i | −0.905598 | − | 0.424136i | \(-0.860578\pi\) |
0.615017 | + | 0.788514i | \(0.289149\pi\) | |||||||
\(510\) | −4.82843 | −0.213806 | ||||||||
\(511\) | 7.05398 | − | 8.84541i | 0.312050 | − | 0.391298i | ||||
\(512\) | 28.1486 | − | 13.5557i | 1.24401 | − | 0.599082i | ||||
\(513\) | −1.54955 | − | 1.94307i | −0.0684142 | − | 0.0857887i | ||||
\(514\) | −27.3525 | − | 34.2990i | −1.20647 | − | 1.51286i | ||||
\(515\) | −4.35026 | − | 2.09498i | −0.191695 | − | 0.0923157i | ||||
\(516\) | −7.37482 | + | 32.3112i | −0.324658 | + | 1.42242i | ||||
\(517\) | −0.298878 | − | 1.30947i | −0.0131446 | − | 0.0575904i | ||||
\(518\) | 24.6088 | − | 11.8510i | 1.08125 | − | 0.520702i | ||||
\(519\) | 26.8480 | + | 12.9293i | 1.17849 | + | 0.567533i | ||||
\(520\) | −3.76049 | − | 16.4758i | −0.164908 | − | 0.722511i | ||||
\(521\) | −29.1421 | −1.27674 | −0.638370 | − | 0.769730i | \(-0.720391\pi\) | ||||
−0.638370 | + | 0.769730i | \(0.720391\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.68629 | 0.204917 | 0.102459 | − | 0.994737i | \(-0.467329\pi\) | ||||
0.102459 | + | 0.994737i | \(0.467329\pi\) | |||||||
\(524\) | 18.1573 | + | 79.5521i | 0.793204 | + | 3.47525i | ||||
\(525\) | 24.6088 | + | 11.8510i | 1.07402 | + | 0.517219i | ||||
\(526\) | 5.99762 | − | 2.88830i | 0.261509 | − | 0.125936i | ||||
\(527\) | −1.85652 | − | 8.13397i | −0.0808715 | − | 0.354321i | ||||
\(528\) | 0.667563 | − | 2.92478i | 0.0290519 | − | 0.127285i | ||||
\(529\) | 8.67400 | + | 4.17718i | 0.377131 | + | 0.181617i | ||||
\(530\) | −14.2776 | − | 17.9035i | −0.620179 | − | 0.777680i | ||||
\(531\) | −6.44885 | − | 8.08660i | −0.279856 | − | 0.350928i | ||||
\(532\) | −58.5365 | + | 28.1897i | −2.53788 | + | 1.22218i | ||||
\(533\) | −10.7063 | + | 13.4253i | −0.463741 | + | 0.581513i | ||||
\(534\) | −72.7696 | −3.14905 | ||||||||
\(535\) | 9.24537 | − | 11.5933i | 0.399712 | − | 0.501223i | ||||
\(536\) | −5.55647 | + | 24.3445i | −0.240003 | + | 1.05152i | ||||
\(537\) | −3.48398 | + | 15.2643i | −0.150345 | + | 0.658703i | ||||
\(538\) | −47.3485 | + | 59.3732i | −2.04134 | + | 2.55976i | ||||
\(539\) | 0.414214 | 0.0178414 | ||||||||
\(540\) | −0.988722 | + | 1.23982i | −0.0425478 | + | 0.0533533i | ||||
\(541\) | −9.31885 | + | 4.48772i | −0.400649 | + | 0.192942i | −0.623347 | − | 0.781945i | \(-0.714228\pi\) |
0.222699 | + | 0.974887i | \(0.428513\pi\) | |||||||
\(542\) | −24.9212 | − | 31.2502i | −1.07046 | − | 1.34231i | ||||
\(543\) | −12.5141 | − | 15.6922i | −0.537032 | − | 0.673416i | ||||
\(544\) | −1.18361 | − | 0.569997i | −0.0507469 | − | 0.0244384i | ||||
\(545\) | 2.81642 | − | 12.3395i | 0.120642 | − | 0.528567i | ||||
\(546\) | 14.0439 | + | 61.5303i | 0.601023 | + | 2.63326i | ||||
\(547\) | −32.2538 | + | 15.5326i | −1.37907 | + | 0.664126i | −0.968802 | − | 0.247838i | \(-0.920280\pi\) |
−0.410270 | + | 0.911964i | \(0.634566\pi\) | |||||||
\(548\) | 41.3915 | + | 19.9331i | 1.76816 | + | 0.851500i | ||||
\(549\) | −3.03894 | − | 13.3144i | −0.129699 | − | 0.568247i | ||||
\(550\) | −4.00000 | −0.170561 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −38.9706 | −1.65870 | ||||||||
\(553\) | 1.51947 | + | 6.65722i | 0.0646144 | + | 0.283094i | ||||
\(554\) | 37.6596 | + | 18.1359i | 1.60000 | + | 0.770521i | ||||
\(555\) | −8.70053 | + | 4.18995i | −0.369317 | + | 0.177854i | ||||
\(556\) | −11.9267 | − | 52.2542i | −0.505804 | − | 2.21607i | ||||
\(557\) | 3.85266 | − | 16.8796i | 0.163243 | − | 0.715212i | −0.825353 | − | 0.564617i | \(-0.809024\pi\) |
0.988596 | − | 0.150595i | \(-0.0481190\pi\) | |||||||
\(558\) | 61.9592 | + | 29.8380i | 2.62294 | + | 1.26314i | ||||
\(559\) | 8.55922 | + | 10.7329i | 0.362016 | + | 0.453954i | ||||
\(560\) | 5.29049 | + | 6.63406i | 0.223564 | + | 0.280340i | ||||
\(561\) | −0.746387 | + | 0.359441i | −0.0315125 | + | 0.0151756i | ||||
\(562\) | 48.1233 | − | 60.3447i | 2.02996 | − | 2.54549i | ||||
\(563\) | 0.757359 | 0.0319189 | 0.0159594 | − | 0.999873i | \(-0.494920\pi\) | ||||
0.0159594 | + | 0.999873i | \(0.494920\pi\) | |||||||
\(564\) | −18.6863 | + | 23.4319i | −0.786837 | + | 0.986662i | ||||
\(565\) | 2.96258 | − | 12.9799i | 0.124637 | − | 0.546069i | ||||
\(566\) | −6.26221 | + | 27.4366i | −0.263221 | + | 1.15324i | ||||
\(567\) | 16.7273 | − | 20.9753i | 0.702479 | − | 0.880880i | ||||
\(568\) | −38.9706 | −1.63517 | ||||||||
\(569\) | 24.7256 | − | 31.0050i | 1.03655 | − | 1.29980i | 0.0836584 | − | 0.996494i | \(-0.473340\pi\) |
0.952895 | − | 0.303302i | \(-0.0980890\pi\) | |||||||
\(570\) | 31.5074 | − | 15.1732i | 1.31970 | − | 0.635534i | ||||
\(571\) | 9.12005 | + | 11.4362i | 0.381662 | + | 0.478589i | 0.935142 | − | 0.354274i | \(-0.115272\pi\) |
−0.553480 | + | 0.832863i | \(0.686700\pi\) | |||||||
\(572\) | −3.78525 | − | 4.74655i | −0.158269 | − | 0.198463i | ||||
\(573\) | −55.0606 | − | 26.5158i | −2.30019 | − | 1.10771i | ||||
\(574\) | 6.81524 | − | 29.8595i | 0.284463 | − | 1.24631i | ||||
\(575\) | 3.25491 | + | 14.2607i | 0.135739 | + | 0.594711i | ||||
\(576\) | 25.0460 | − | 12.0615i | 1.04358 | − | 0.502564i | ||||
\(577\) | −26.8480 | − | 12.9293i | −1.11770 | − | 0.538254i | −0.218516 | − | 0.975833i | \(-0.570121\pi\) |
−0.899180 | + | 0.437580i | \(0.855836\pi\) | |||||||
\(578\) | 8.76394 | + | 38.3973i | 0.364532 | + | 1.59712i | ||||
\(579\) | −12.4853 | −0.518871 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.6569 | −0.898478 | ||||||||
\(582\) | −5.81717 | − | 25.4867i | −0.241130 | − | 1.05646i | ||||
\(583\) | −3.53985 | − | 1.70470i | −0.146605 | − | 0.0706015i | ||||
\(584\) | 15.9083 | − | 7.66102i | 0.658289 | − | 0.317015i | ||||
\(585\) | −2.40955 | − | 10.5569i | −0.0996227 | − | 0.436476i | ||||
\(586\) | 4.11336 | − | 18.0218i | 0.169921 | − | 0.744474i | ||||
\(587\) | −6.89859 | − | 3.32218i | −0.284735 | − | 0.137121i | 0.286065 | − | 0.958210i | \(-0.407653\pi\) |
−0.570800 | + | 0.821089i | \(0.693367\pi\) | |||||||
\(588\) | −5.76269 | − | 7.22619i | −0.237649 | − | 0.298003i | ||||
\(589\) | 37.6752 | + | 47.2433i | 1.55238 | + | 1.94662i | ||||
\(590\) | −7.95414 | + | 3.83051i | −0.327467 | + | 0.157700i | ||||
\(591\) | −3.01048 | + | 3.77502i | −0.123834 | + | 0.155283i | ||||
\(592\) | 12.0000 | 0.493197 | ||||||||
\(593\) | −12.1489 | + | 15.2342i | −0.498894 | + | 0.625594i | −0.965980 | − | 0.258619i | \(-0.916733\pi\) |
0.467085 | + | 0.884212i | \(0.345304\pi\) | |||||||
\(594\) | −0.0921712 | + | 0.403828i | −0.00378183 | + | 0.0165693i | ||||
\(595\) | 0.521399 | − | 2.28440i | 0.0213753 | − | 0.0936512i | ||||
\(596\) | −18.6863 | + | 23.4319i | −0.765422 | + | 0.959809i | ||||
\(597\) | 1.17157 | 0.0479493 | ||||||||
\(598\) | −21.0733 | + | 26.4251i | −0.861752 | + | 1.08060i | ||||
\(599\) | 8.89261 | − | 4.28246i | 0.363342 | − | 0.174976i | −0.243300 | − | 0.969951i | \(-0.578230\pi\) |
0.606643 | + | 0.794974i | \(0.292516\pi\) | |||||||
\(600\) | 26.5778 | + | 33.3275i | 1.08503 | + | 1.36059i | ||||
\(601\) | 10.7063 | + | 13.4253i | 0.436719 | + | 0.547628i | 0.950675 | − | 0.310188i | \(-0.100392\pi\) |
−0.513956 | + | 0.857816i | \(0.671821\pi\) | |||||||
\(602\) | −22.0605 | − | 10.6238i | −0.899118 | − | 0.432992i | ||||
\(603\) | −3.56033 | + | 15.5988i | −0.144988 | + | 0.635234i | ||||
\(604\) | 12.0478 | + | 52.7847i | 0.490216 | + | 2.14778i | ||||
\(605\) | −9.75608 | + | 4.69828i | −0.396641 | + | 0.191012i | ||||
\(606\) | 12.3044 | + | 5.92549i | 0.499832 | + | 0.240706i | ||||
\(607\) | −1.71962 | − | 7.53417i | −0.0697974 | − | 0.305802i | 0.927965 | − | 0.372668i | \(-0.121557\pi\) |
−0.997762 | + | 0.0668661i | \(0.978700\pi\) | |||||||
\(608\) | 9.51472 | 0.385873 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.6569 | −0.471972 | ||||||||
\(611\) | 2.76242 | + | 12.1030i | 0.111756 | + | 0.489633i | ||||
\(612\) | 8.08220 | + | 3.89218i | 0.326703 | + | 0.157332i | ||||
\(613\) | 8.10872 | − | 3.90495i | 0.327508 | − | 0.157720i | −0.262903 | − | 0.964822i | \(-0.584680\pi\) |
0.590411 | + | 0.807103i | \(0.298966\pi\) | |||||||
\(614\) | 1.55765 | + | 6.82450i | 0.0628615 | + | 0.275414i | ||||
\(615\) | −2.40955 | + | 10.5569i | −0.0971625 | + | 0.425697i | ||||
\(616\) | 4.65943 | + | 2.24386i | 0.187734 | + | 0.0904078i | ||||
\(617\) | −0.427896 | − | 0.536564i | −0.0172264 | − | 0.0216013i | 0.773144 | − | 0.634231i | \(-0.218683\pi\) |
−0.790370 | + | 0.612630i | \(0.790112\pi\) | |||||||
\(618\) | 17.5463 | + | 22.0024i | 0.705817 | + | 0.885067i | ||||
\(619\) | 30.2597 | − | 14.5723i | 1.21624 | − | 0.585711i | 0.287979 | − | 0.957637i | \(-0.407017\pi\) |
0.928263 | + | 0.371925i | \(0.121302\pi\) | |||||||
\(620\) | 24.0395 | − | 30.1446i | 0.965449 | − | 1.21063i | ||||
\(621\) | 1.51472 | 0.0607836 | ||||||||
\(622\) | −4.04351 | + | 5.07040i | −0.162130 | + | 0.203304i | ||||
\(623\) | 7.85804 | − | 34.4283i | 0.314826 | − | 1.37934i | ||||
\(624\) | −6.17004 | + | 27.0327i | −0.246999 | + | 1.08218i | ||||
\(625\) | 6.85839 | − | 8.60015i | 0.274336 | − | 0.344006i | ||||
\(626\) | 23.7279 | 0.948358 | ||||||||
\(627\) | 3.74094 | − | 4.69099i | 0.149399 | − | 0.187340i | ||||
\(628\) | 29.2682 | − | 14.0948i | 1.16793 | − | 0.562445i | ||||
\(629\) | −2.06606 | − | 2.59076i | −0.0823793 | − | 0.103300i | ||||
\(630\) | 12.0419 | + | 15.1001i | 0.479761 | + | 0.601601i | ||||
\(631\) | 33.1813 | + | 15.9793i | 1.32093 | + | 0.636124i | 0.955576 | − | 0.294746i | \(-0.0952351\pi\) |
0.365350 | + | 0.930870i | \(0.380949\pi\) | |||||||
\(632\) | −2.37137 | + | 10.3897i | −0.0943282 | + | 0.413279i | ||||
\(633\) | 10.4138 | + | 45.6256i | 0.413910 | + | 1.81346i | ||||
\(634\) | −68.4206 | + | 32.9496i | −2.71733 | + | 1.30860i | ||||
\(635\) | 3.91304 | + | 1.88442i | 0.155284 | + | 0.0747809i | ||||
\(636\) | 19.5082 | + | 85.4710i | 0.773550 | + | 3.38915i | ||||
\(637\) | −3.82843 | −0.151688 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.9706 | −0.987820 | ||||||||
\(640\) | −4.57422 | − | 20.0410i | −0.180812 | − | 0.792188i | ||||
\(641\) | 16.0363 | + | 7.72269i | 0.633397 | + | 0.305028i | 0.722894 | − | 0.690959i | \(-0.242812\pi\) |
−0.0894967 | + | 0.995987i | \(0.528526\pi\) | |||||||
\(642\) | −77.8675 | + | 37.4990i | −3.07319 | + | 1.47997i | ||||
\(643\) | −7.22866 | − | 31.6708i | −0.285070 | − | 1.24897i | −0.891201 | − | 0.453609i | \(-0.850136\pi\) |
0.606130 | − | 0.795365i | \(-0.292721\pi\) | |||||||
\(644\) | 8.81138 | − | 38.6052i | 0.347217 | − | 1.52126i | ||||
\(645\) | 7.79956 | + | 3.75607i | 0.307107 | + | 0.147895i | ||||
\(646\) | 7.48188 | + | 9.38198i | 0.294371 | + | 0.369129i | ||||
\(647\) | 24.7256 | + | 31.0050i | 0.972065 | + | 1.21893i | 0.975739 | + | 0.218938i | \(0.0702593\pi\) |
−0.00367336 | + | 0.999993i | \(0.501169\pi\) | |||||||
\(648\) | 37.7236 | − | 18.1667i | 1.48192 | − | 0.713657i | ||||
\(649\) | −0.944412 | + | 1.18425i | −0.0370714 | + | 0.0464861i | ||||
\(650\) | 36.9706 | 1.45010 | ||||||||
\(651\) | −42.8771 | + | 53.7662i | −1.68049 | + | 2.10726i | ||||
\(652\) | 3.34708 | − | 14.6645i | 0.131082 | − | 0.574306i | ||||
\(653\) | −6.70726 | + | 29.3864i | −0.262475 | + | 1.14998i | 0.656082 | + | 0.754690i | \(0.272213\pi\) |
−0.918557 | + | 0.395289i | \(0.870644\pi\) | |||||||
\(654\) | −45.9946 | + | 57.6754i | −1.79853 | + | 2.25528i | ||||
\(655\) | 21.3137 | 0.832796 | ||||||||
\(656\) | 8.38958 | − | 10.5202i | 0.327558 | − | 0.410745i | ||||
\(657\) | 10.1933 | − | 4.90883i | 0.397678 | − | 0.191512i | ||||
\(658\) | −13.8054 | − | 17.3114i | −0.538190 | − | 0.674869i | ||||
\(659\) | −8.98712 | − | 11.2695i | −0.350088 | − | 0.438997i | 0.575343 | − | 0.817912i | \(-0.304869\pi\) |
−0.925431 | + | 0.378915i | \(0.876297\pi\) | |||||||
\(660\) | −3.44929 | − | 1.66109i | −0.134264 | − | 0.0646579i | ||||
\(661\) | −7.41300 | + | 32.4785i | −0.288332 | + | 1.26327i | 0.598481 | + | 0.801137i | \(0.295771\pi\) |
−0.886813 | + | 0.462129i | \(0.847086\pi\) | |||||||
\(662\) | −1.29695 | − | 5.68230i | −0.0504073 | − | 0.220849i | ||||
\(663\) | 6.89859 | − | 3.32218i | 0.267919 | − | 0.129023i | ||||
\(664\) | −30.4518 | − | 14.6648i | −1.18176 | − | 0.569106i | ||||
\(665\) | 3.77631 | + | 16.5451i | 0.146439 | + | 0.641591i | ||||
\(666\) | 27.3137 | 1.05838 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.1421 | −0.469793 | ||||||||
\(669\) | −1.70381 | − | 7.46488i | −0.0658731 | − | 0.288609i | ||||
\(670\) | 12.3044 | + | 5.92549i | 0.475360 | + | 0.228922i | ||||
\(671\) | −1.80194 | + | 0.867767i | −0.0695630 | + | 0.0334998i | ||||
\(672\) | 2.40955 | + | 10.5569i | 0.0929505 | + | 0.407243i | ||||
\(673\) | 4.81255 | − | 21.0852i | 0.185510 | − | 0.812774i | −0.793436 | − | 0.608654i | \(-0.791710\pi\) |
0.978946 | − | 0.204120i | \(-0.0654331\pi\) | |||||||
\(674\) | 47.4157 | + | 22.8342i | 1.82638 | + | 0.879540i | ||||
\(675\) | −1.03303 | − | 1.29538i | −0.0397614 | − | 0.0498592i | ||||
\(676\) | 3.95489 | + | 4.95927i | 0.152111 | + | 0.190741i | ||||
\(677\) | −19.8213 | + | 9.54544i | −0.761795 | + | 0.366861i | −0.774100 | − | 0.633063i | \(-0.781797\pi\) |
0.0123051 | + | 0.999924i | \(0.496083\pi\) | |||||||
\(678\) | −48.3815 | + | 60.6685i | −1.85808 | + | 2.32996i | ||||
\(679\) | 12.6863 | 0.486855 | ||||||||
\(680\) | 2.28001 | − | 2.85904i | 0.0874344 | − | 0.109639i | ||||
\(681\) | −4.37406 | + | 19.1640i | −0.167614 | + | 0.734367i | ||||
\(682\) | 2.24102 | − | 9.81857i | 0.0858132 | − | 0.375972i | ||||
\(683\) | 13.0749 | − | 16.3954i | 0.500298 | − | 0.627354i | −0.465998 | − | 0.884786i | \(-0.654305\pi\) |
0.966297 | + | 0.257431i | \(0.0828761\pi\) | |||||||
\(684\) | −64.9706 | −2.48421 | ||||||||
\(685\) | 7.48188 | − | 9.38198i | 0.285868 | − | 0.358467i | ||||
\(686\) | −36.9132 | + | 17.7765i | −1.40935 | + | 0.678708i | ||||
\(687\) | −5.29049 | − | 6.63406i | −0.201845 | − | 0.253105i | ||||
\(688\) | −6.70710 | − | 8.41044i | −0.255706 | − | 0.320645i | ||||
\(689\) | 32.7175 | + | 15.7559i | 1.24644 | + | 0.600253i | ||||
\(690\) | −4.74275 | + | 20.7793i | −0.180553 | + | 0.791056i | ||||
\(691\) | −10.6810 | − | 46.7965i | −0.406325 | − | 1.78022i | −0.600887 | − | 0.799334i | \(-0.705186\pi\) |
0.194562 | − | 0.980890i | \(-0.437671\pi\) | |||||||
\(692\) | −42.5751 | + | 20.5031i | −1.61846 | + | 0.779411i | ||||
\(693\) | 2.98555 | + | 1.43776i | 0.113412 | + | 0.0546161i | ||||
\(694\) | −1.33513 | − | 5.84957i | −0.0506807 | − | 0.222047i | ||||
\(695\) | −14.0000 | −0.531050 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.71573 | −0.140743 | ||||||||
\(698\) | 2.76242 | + | 12.1030i | 0.104559 | + | 0.458104i | ||||
\(699\) | 39.8347 | + | 19.1834i | 1.50669 | + | 0.725582i | ||||
\(700\) | −39.0243 | + | 18.7931i | −1.47498 | + | 0.710313i | ||||
\(701\) | 8.92592 | + | 39.1070i | 0.337127 | + | 1.47705i | 0.805011 | + | 0.593260i | \(0.202160\pi\) |
−0.467883 | + | 0.883790i | \(0.654983\pi\) | |||||||
\(702\) | 0.851905 | − | 3.73244i | 0.0321531 | − | 0.140872i | ||||
\(703\) | 21.6233 | + | 10.4132i | 0.815536 | + | 0.392742i | ||||
\(704\) | −2.53827 | − | 3.18289i | −0.0956646 | − | 0.119960i | ||||
\(705\) | 4.88094 | + | 6.12051i | 0.183827 | + | 0.230512i | ||||
\(706\) | −58.6645 | + | 28.2513i | −2.20787 | + | 1.06325i | ||||
\(707\) | −4.13213 | + | 5.18152i | −0.155405 | + | 0.194871i | ||||
\(708\) | 33.7990 | 1.27024 | ||||||||
\(709\) | 18.1698 | − | 22.7842i | 0.682382 | − | 0.855680i | −0.313189 | − | 0.949691i | \(-0.601397\pi\) |
0.995571 | + | 0.0940107i | \(0.0299688\pi\) | |||||||
\(710\) | −4.74275 | + | 20.7793i | −0.177992 | + | 0.779834i | ||||
\(711\) | −1.51947 | + | 6.65722i | −0.0569845 | + | 0.249665i | ||||
\(712\) | 34.3622 | − | 43.0888i | 1.28778 | − | 1.61482i | ||||
\(713\) | −36.8284 | −1.37924 | ||||||||
\(714\) | −8.51491 | + | 10.6774i | −0.318662 | + | 0.399590i | ||||
\(715\) | −1.42874 | + | 0.688047i | −0.0534320 | + | 0.0257315i | ||||
\(716\) | −15.4803 | − | 19.4116i | −0.578525 | − | 0.725447i | ||||
\(717\) | 29.5882 | + | 37.1025i | 1.10499 | + | 1.38562i | ||||
\(718\) | 8.54594 | + | 4.11551i | 0.318932 | + | 0.153589i | ||||
\(719\) | 4.48205 | − | 19.6371i | 0.167152 | − | 0.732341i | −0.819974 | − | 0.572400i | \(-0.806012\pi\) |
0.987127 | − | 0.159941i | \(-0.0511305\pi\) | |||||||
\(720\) | 1.88815 | + | 8.27254i | 0.0703673 | + | 0.308299i | ||||
\(721\) | −12.3044 | + | 5.92549i | −0.458240 | + | 0.220677i | ||||
\(722\) | −36.9772 | − | 17.8073i | −1.37615 | − | 0.662719i | ||||
\(723\) | −9.83836 | − | 43.1047i | −0.365893 | − | 1.60308i | ||||
\(724\) | 31.8284 | 1.18289 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 63.1127 | 2.34233 | ||||||||
\(727\) | 0.292328 | + | 1.28077i | 0.0108418 | + | 0.0475012i | 0.980059 | − | 0.198704i | \(-0.0636733\pi\) |
−0.969218 | + | 0.246205i | \(0.920816\pi\) | |||||||
\(728\) | −43.0654 | − | 20.7392i | −1.59611 | − | 0.768646i | ||||
\(729\) | 21.4687 | − | 10.3388i | 0.795136 | − | 0.382917i | ||||
\(730\) | −2.14885 | − | 9.41474i | −0.0795326 | − | 0.348455i | ||||
\(731\) | −0.661012 | + | 2.89608i | −0.0244484 | + | 0.107116i | ||||
\(732\) | 40.2079 | + | 19.3631i | 1.48613 | + | 0.715681i | ||||
\(733\) | 25.7220 | + | 32.2543i | 0.950063 | + | 1.19134i | 0.981428 | + | 0.191833i | \(0.0614431\pi\) |
−0.0313650 | + | 0.999508i | \(0.509985\pi\) | |||||||
\(734\) | −27.0943 | − | 33.9751i | −1.00007 | − | 1.25405i | ||||
\(735\) | −2.17513 | + | 1.04749i | −0.0802309 | + | 0.0386372i | ||||
\(736\) | −3.61561 | + | 4.53383i | −0.133273 | + | 0.167119i | ||||
\(737\) | 2.34315 | 0.0863109 | ||||||||
\(738\) | 19.0959 | − | 23.9455i | 0.702929 | − | 0.881445i | ||||
\(739\) | 0.905898 | − | 3.96900i | 0.0333240 | − | 0.146002i | −0.955529 | − | 0.294897i | \(-0.904715\pi\) |
0.988853 | + | 0.148895i | \(0.0475717\pi\) | |||||||
\(740\) | 3.40762 | − | 14.9298i | 0.125267 | − | 0.548829i | ||||
\(741\) | −34.5762 | + | 43.3571i | −1.27019 | + | 1.59276i | ||||
\(742\) | −64.7696 | −2.37777 | ||||||||
\(743\) | −14.7498 | + | 18.4957i | −0.541118 | + | 0.678540i | −0.974943 | − | 0.222457i | \(-0.928592\pi\) |
0.433825 | + | 0.900997i | \(0.357164\pi\) | |||||||
\(744\) | −96.6973 | + | 46.5670i | −3.54509 | + | 1.70723i | ||||
\(745\) | 4.88094 | + | 6.12051i | 0.178824 | + | 0.224238i | ||||
\(746\) | −39.6084 | − | 49.6673i | −1.45017 | − | 1.81845i | ||||
\(747\) | −19.5122 | − | 9.39656i | −0.713912 | − | 0.343802i | ||||
\(748\) | 0.292328 | − | 1.28077i | 0.0106886 | − | 0.0468296i | ||||
\(749\) | −9.33278 | − | 40.8896i | −0.341012 | − | 1.49407i | ||||
\(750\) | 47.2611 | − | 22.7597i | 1.72573 | − | 0.831068i | ||||
\(751\) | 22.8069 | + | 10.9832i | 0.832234 | + | 0.400783i | 0.800953 | − | 0.598728i | \(-0.204327\pi\) |
0.0312816 | + | 0.999511i | \(0.490041\pi\) | |||||||
\(752\) | −2.16467 | − | 9.48402i | −0.0789373 | − | 0.345847i | ||||
\(753\) | 48.4558 | 1.76583 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.1421 | 0.514685 | ||||||||
\(756\) | 0.998069 | + | 4.37283i | 0.0362994 | + | 0.159038i | ||||
\(757\) | 22.9880 | + | 11.0704i | 0.835512 | + | 0.402361i | 0.802179 | − | 0.597083i | \(-0.203674\pi\) |
0.0333324 | + | 0.999444i | \(0.489388\pi\) | |||||||
\(758\) | −15.1619 | + | 7.30158i | −0.550705 | + | 0.265205i | ||||
\(759\) | 0.813727 | + | 3.56517i | 0.0295364 | + | 0.129407i | ||||
\(760\) | −5.89353 | + | 25.8212i | −0.213781 | + | 0.936635i | ||||
\(761\) | −41.0824 | − | 19.7842i | −1.48923 | − | 0.717177i | −0.500344 | − | 0.865826i | \(-0.666793\pi\) |
−0.988890 | + | 0.148649i | \(0.952508\pi\) | |||||||
\(762\) | −15.7828 | − | 19.7911i | −0.571752 | − | 0.716954i | ||||
\(763\) | −22.3203 | − | 27.9888i | −0.808049 | − | 1.01326i | ||||
\(764\) | 87.3144 | − | 42.0484i | 3.15892 | − | 1.52126i | ||||
\(765\) | 1.46093 | − | 1.83195i | 0.0528199 | − | 0.0662341i | ||||
\(766\) | −8.48528 | −0.306586 | ||||||||
\(767\) | 8.72886 | − | 10.9456i | 0.315181 | − | 0.395224i | ||||
\(768\) | −16.1006 | + | 70.5412i | −0.580980 | + | 2.54544i | ||||
\(769\) | −10.9286 | + | 47.8813i | −0.394096 | + | 1.72665i | 0.255896 | + | 0.966704i | \(0.417629\pi\) |
−0.649992 | + | 0.759941i | \(0.725228\pi\) | |||||||
\(770\) | 1.76350 | − | 2.21135i | 0.0635520 | − | 0.0796916i | ||||
\(771\) | 43.8701 | 1.57994 | ||||||||
\(772\) | 12.3445 | − | 15.4795i | 0.444287 | − | 0.557118i | ||||
\(773\) | −17.5822 | + | 8.46712i | −0.632386 | + | 0.304541i | −0.722480 | − | 0.691392i | \(-0.756998\pi\) |
0.0900935 | + | 0.995933i | \(0.471283\pi\) | |||||||
\(774\) | −15.2663 | − | 19.1434i | −0.548737 | − | 0.688094i | ||||
\(775\) | 25.1168 | + | 31.4955i | 0.902223 | + | 1.13135i | ||||
\(776\) | 17.8383 | + | 8.59046i | 0.640357 | + | 0.308380i | ||||
\(777\) | −6.07787 | + | 26.6289i | −0.218042 | + | 0.955306i | ||||
\(778\) | 1.62745 | + | 7.13034i | 0.0583470 | + | 0.255635i | ||||
\(779\) | 24.2466 | − | 11.6765i | 0.868724 | − | 0.418356i | ||||
\(780\) | 31.8806 | + | 15.3529i | 1.14151 | + | 0.549721i | ||||
\(781\) | 0.813727 | + | 3.56517i | 0.0291174 | + | 0.127572i | ||||
\(782\) | −7.31371 | −0.261538 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −1.88815 | − | 8.27254i | −0.0673911 | − | 0.295260i | ||||
\(786\) | −111.923 | − | 53.8994i | −3.99217 | − | 1.92253i | ||||
\(787\) | 48.7273 | − | 23.4658i | 1.73694 | − | 0.836467i | 0.752990 | − | 0.658032i | \(-0.228611\pi\) |
0.983952 | − | 0.178435i | \(-0.0571036\pi\) | |||||||
\(788\) | −1.70381 | − | 7.46488i | −0.0606957 | − | 0.265925i | ||||
\(789\) | −1.48129 | + | 6.48995i | −0.0527353 | + | 0.231048i | ||||
\(790\) | 5.25123 | + | 2.52886i | 0.186830 | + | 0.0899728i | ||||
\(791\) | −23.4787 | − | 29.4413i | −0.834805 | − | 1.04681i | ||||
\(792\) | 3.22442 | + | 4.04330i | 0.114575 | + | 0.143672i | ||||
\(793\) | 16.6547 | − | 8.02046i | 0.591424 | − | 0.284815i | ||||
\(794\) | 29.1160 | − | 36.5103i | 1.03329 | − | 1.29570i | ||||
\(795\) | 22.8995 | 0.812161 | ||||||||
\(796\) | −1.15836 | + | 1.45254i | −0.0410570 | + | 0.0514838i | ||||
\(797\) | 11.5133 | − | 50.4429i | 0.407821 | − | 1.78678i | −0.186397 | − | 0.982474i | \(-0.559681\pi\) |
0.594218 | − | 0.804304i | \(-0.297462\pi\) | |||||||
\(798\) | 22.0099 | − | 96.4318i | 0.779143 | − | 3.41365i | ||||
\(799\) | −1.67488 | + | 2.10023i | −0.0592528 | + | 0.0743007i | ||||
\(800\) | 6.34315 | 0.224264 | ||||||||
\(801\) | 22.0177 | − | 27.6094i | 0.777958 | − | 0.975529i | ||||
\(802\) | 40.5811 | − | 19.5428i | 1.43297 | − | 0.690081i | ||||
\(803\) | −1.03303 | − | 1.29538i | −0.0364549 | − | 0.0457130i | ||||
\(804\) | −32.5987 | − | 40.8775i | −1.14967 | − | 1.44164i | ||||
\(805\) | −9.31885 | − | 4.48772i | −0.328446 | − | 0.158171i | ||||
\(806\) | −20.7130 | + | 90.7495i | −0.729583 | + | 3.19651i | ||||
\(807\) | −16.8985 | − | 74.0371i | −0.594855 | − | 2.60623i | ||||
\(808\) | −9.31885 | + | 4.48772i | −0.327836 | + | 0.157878i | ||||
\(809\) | 32.6910 | + | 15.7432i | 1.14935 | + | 0.553500i | 0.908840 | − | 0.417146i | \(-0.136970\pi\) |
0.240515 | + | 0.970646i | \(0.422684\pi\) | |||||||
\(810\) | −5.09562 | − | 22.3254i | −0.179042 | − | 0.784433i | ||||
\(811\) | 10.8284 | 0.380238 | 0.190119 | − | 0.981761i | \(-0.439113\pi\) | ||||
0.190119 | + | 0.981761i | \(0.439113\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39.9706 | 1.40183 | ||||||||
\(814\) | −0.890084 | − | 3.89971i | −0.0311974 | − | 0.136685i | ||||
\(815\) | −3.53985 | − | 1.70470i | −0.123995 | − | 0.0597130i | ||||
\(816\) | −5.40581 | + | 2.60330i | −0.189241 | + | 0.0911338i | ||||
\(817\) | −4.78748 | − | 20.9753i | −0.167493 | − | 0.733833i | ||||
\(818\) | −10.1912 | + | 44.6507i | −0.356328 | + | 1.56118i | ||||
\(819\) | −27.5943 | − | 13.2887i | −0.964225 | − | 0.464346i | ||||
\(820\) | −10.7063 | − | 13.4253i | −0.373880 | − | 0.468831i | ||||
\(821\) | −0.926058 | − | 1.16124i | −0.0323196 | − | 0.0405275i | 0.765409 | − | 0.643544i | \(-0.222537\pi\) |
−0.797729 | + | 0.603017i | \(0.793965\pi\) | |||||||
\(822\) | −63.0148 | + | 30.3463i | −2.19789 | + | 1.05845i | ||||
\(823\) | 33.8457 | − | 42.4412i | 1.17979 | − | 1.47941i | 0.336713 | − | 0.941607i | \(-0.390685\pi\) |
0.843074 | − | 0.537798i | \(-0.180744\pi\) | |||||||
\(824\) | −21.3137 | −0.742498 | ||||||||
\(825\) | 2.49396 | − | 3.12733i | 0.0868285 | − | 0.108880i | ||||
\(826\) | −5.55647 | + | 24.3445i | −0.193334 | + | 0.847053i | ||||
\(827\) | 7.32083 | − | 32.0746i | 0.254570 | − | 1.11534i | −0.672394 | − | 0.740194i | \(-0.734734\pi\) |
0.926964 | − | 0.375151i | \(-0.122409\pi\) | |||||||
\(828\) | 24.6889 | − | 30.9589i | 0.858000 | − | 1.07590i | ||||
\(829\) | 29.7990 | 1.03496 | 0.517481 | − | 0.855695i | \(-0.326870\pi\) | ||||
0.517481 | + | 0.855695i | \(0.326870\pi\) | |||||||
\(830\) | −11.5254 | + | 14.4524i | −0.400052 | + | 0.501649i | ||||
\(831\) | −37.6596 | + | 18.1359i | −1.30640 | + | 0.629127i | ||||
\(832\) | 23.4603 | + | 29.4183i | 0.813340 | + | 1.01990i | ||||
\(833\) | −0.516516 | − | 0.647690i | −0.0178962 | − | 0.0224411i | ||||
\(834\) | 73.5172 | + | 35.4040i | 2.54569 | + | 1.22594i | ||||
\(835\) | −0.705741 | + | 3.09205i | −0.0244232 | + | 0.107005i | ||||
\(836\) | 2.11722 | + | 9.27616i | 0.0732257 | + | 0.320823i | ||||
\(837\) | 3.75846 | − | 1.80998i | 0.129911 | − | 0.0625620i | ||||
\(838\) | 20.6958 | + | 9.96655i | 0.714923 | + | 0.344289i | ||||
\(839\) | −1.76435 | − | 7.73014i | −0.0609122 | − | 0.266874i | 0.935297 | − | 0.353864i | \(-0.115132\pi\) |
−0.996209 | + | 0.0869898i | \(0.972275\pi\) | |||||||
\(840\) | −30.1421 | −1.04000 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −89.5980 | −3.08775 | ||||||||
\(843\) | 17.1750 | + | 75.2486i | 0.591539 | + | 2.59170i | ||||
\(844\) | −66.8638 | − | 32.1999i | −2.30155 | − | 1.10837i | ||||
\(845\) | 1.49277 | − | 0.718882i | 0.0513530 | − | 0.0247303i | ||||
\(846\) | −4.92709 | − | 21.5870i | −0.169397 | − | 0.742176i | ||||
\(847\) | −6.81524 | + | 29.8595i | −0.234174 | + | 1.02599i | ||||
\(848\) | −25.6378 | − | 12.3465i | −0.880407 | − | 0.423982i | ||||
\(849\) | −17.5463 | − | 22.0024i | −0.602189 | − | 0.755121i | ||||
\(850\) | 4.98792 | + | 6.25465i | 0.171084 | + | 0.214533i | ||||
\(851\) | −13.1788 | + | 6.34660i | −0.451765 | + | 0.217559i | ||||
\(852\) | 50.8755 | − | 63.7959i | 1.74297 | − | 2.18561i | ||||
\(853\) | 22.9706 | 0.786497 | 0.393249 | − | 0.919432i | \(-0.371351\pi\) | ||||
0.393249 | + | 0.919432i | \(0.371351\pi\) | |||||||
\(854\) | −20.5568 | + | 25.7774i | −0.703440 | + | 0.882085i | ||||
\(855\) | −3.77631 | + | 16.5451i | −0.129147 | + | 0.565830i | ||||
\(856\) | 14.5653 | − | 63.8147i | 0.497832 | − | 2.18114i | ||||
\(857\) | −3.84791 | + | 4.82513i | −0.131442 | + | 0.164823i | −0.843197 | − | 0.537605i | \(-0.819329\pi\) |
0.711755 | + | 0.702428i | \(0.247901\pi\) | |||||||
\(858\) | 9.24264 | 0.315539 | ||||||||
\(859\) | −12.3002 | + | 15.4239i | −0.419676 | + | 0.526257i | −0.946061 | − | 0.323989i | \(-0.894976\pi\) |
0.526385 | + | 0.850247i | \(0.323547\pi\) | |||||||
\(860\) | −12.3684 | + | 5.95632i | −0.421760 | + | 0.203109i | ||||
\(861\) | 19.0959 | + | 23.9455i | 0.650786 | + | 0.816060i | ||||
\(862\) | 29.5882 | + | 37.1025i | 1.00778 | + | 1.26372i | ||||
\(863\) | −15.4180 | − | 7.42492i | −0.524835 | − | 0.252747i | 0.152654 | − | 0.988280i | \(-0.451218\pi\) |
−0.677490 | + | 0.735532i | \(0.736932\pi\) | |||||||
\(864\) | 0.146164 | − | 0.640386i | 0.00497259 | − | 0.0217864i | ||||
\(865\) | 2.74661 | + | 12.0337i | 0.0933875 | + | 0.409157i | ||||
\(866\) | 66.6187 | − | 32.0819i | 2.26379 | − | 1.09019i | ||||
\(867\) | −35.4845 | − | 17.0884i | −1.20512 | − | 0.580353i | ||||
\(868\) | −24.2668 | − | 106.320i | −0.823667 | − | 3.60872i | ||||
\(869\) | 1.00000 | 0.0339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.6569 | −0.733815 | ||||||||
\(872\) | −12.4323 | − | 54.4693i | −0.421009 | − | 1.84456i | ||||
\(873\) | 11.4300 | + | 5.50438i | 0.386845 | + | 0.186295i | ||||
\(874\) | 47.7248 | − | 22.9831i | 1.61432 | − | 0.777414i | ||||
\(875\) | 5.66446 | + | 24.8176i | 0.191494 | + | 0.838988i | ||||
\(876\) | −8.22672 | + | 36.0436i | −0.277955 | + | 1.21780i | ||||
\(877\) | 33.4639 | + | 16.1154i | 1.13000 | + | 0.544177i | 0.902967 | − | 0.429711i | \(-0.141384\pi\) |
0.227029 | + | 0.973888i | \(0.427099\pi\) | |||||||
\(878\) | −0.516516 | − | 0.647690i | −0.0174316 | − | 0.0218585i | ||||
\(879\) | 11.5254 | + | 14.4524i | 0.388742 | + | 0.487467i | ||||
\(880\) | 1.11958 | − | 0.539162i | 0.0377411 | − | 0.0181751i | ||||
\(881\) | −8.72886 | + | 10.9456i | −0.294083 | + | 0.368768i | −0.906820 | − | 0.421519i | \(-0.861497\pi\) |
0.612737 | + | 0.790287i | \(0.290069\pi\) | |||||||
\(882\) | 6.82843 | 0.229925 | ||||||||
\(883\) | 23.9585 | − | 30.0430i | 0.806267 | − | 1.01103i | −0.193287 | − | 0.981142i | \(-0.561915\pi\) |
0.999553 | − | 0.0298842i | \(-0.00951387\pi\) | |||||||
\(884\) | −2.70188 | + | 11.8377i | −0.0908740 | + | 0.398145i | ||||
\(885\) | 1.96451 | − | 8.60708i | 0.0660363 | − | 0.289324i | ||||
\(886\) | 36.6422 | − | 45.9479i | 1.23102 | − | 1.54365i | ||||
\(887\) | −17.1005 | −0.574179 | −0.287089 | − | 0.957904i | \(-0.592688\pi\) | ||||
−0.287089 | + | 0.957904i | \(0.592688\pi\) | |||||||
\(888\) | −26.5778 | + | 33.3275i | −0.891891 | + | 1.11840i | ||||
\(889\) | 11.0677 | − | 5.32995i | 0.371200 | − | 0.178761i | ||||
\(890\) | −18.7933 | − | 23.5661i | −0.629953 | − | 0.789936i | ||||
\(891\) | −2.44965 | − | 3.07176i | −0.0820663 | − | 0.102908i | ||||
\(892\) | 10.9397 | + | 5.26828i | 0.366288 | + | 0.176395i | ||||
\(893\) | 4.32933 | − | 18.9680i | 0.144876 | − | 0.634741i | ||||
\(894\) | −10.1531 | − | 44.4834i | −0.339569 | − | 1.48775i | ||||
\(895\) | −5.84304 | + | 2.81386i | −0.195311 | + | 0.0940569i | ||||
\(896\) | −52.3843 | − | 25.2269i | −1.75004 | − | 0.842772i | ||||
\(897\) | −7.52098 | − | 32.9516i | −0.251118 | − | 1.10022i | ||||
\(898\) | 84.4264 | 2.81735 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −43.3137 | −1.44379 | ||||||||
\(901\) | 1.74854 | + | 7.66085i | 0.0582523 | + | 0.255220i | ||||
\(902\) | −4.04110 | − | 1.94609i | −0.134554 | − | 0.0647977i | ||||
\(903\) | 22.0605 | − | 10.6238i | 0.734127 | − | 0.353537i | ||||
\(904\) | −13.0775 | − | 57.2961i | −0.434950 | − | 1.90564i | ||||
\(905\) | 1.84997 | − | 8.10527i | 0.0614952 | − | 0.269428i | ||||
\(906\) | −74.2636 | − | 35.7635i | −2.46724 | − | 1.18816i | ||||
\(907\) | −13.8940 | − | 17.4225i | −0.461343 | − | 0.578506i | 0.495684 | − | 0.868503i | \(-0.334917\pi\) |
−0.957028 | + | 0.289997i | \(0.906346\pi\) | |||||||
\(908\) | −19.4352 | − | 24.3709i | −0.644978 | − | 0.808777i | ||||
\(909\) | −5.97110 | + | 2.87553i | −0.198049 | + | 0.0953753i | ||||
\(910\) | −16.2994 | + | 20.4387i | −0.540318 | + | 0.677538i | ||||
\(911\) | 15.4437 | 0.511671 | 0.255835 | − | 0.966720i | \(-0.417649\pi\) | ||||
0.255835 | + | 0.966720i | \(0.417649\pi\) | |||||||
\(912\) | 27.0943 | − | 33.9751i | 0.897181 | − | 1.12503i | ||||
\(913\) | −0.705741 | + | 3.09205i | −0.0233566 | + | 0.102332i | ||||
\(914\) | −0.553027 | + | 2.42297i | −0.0182925 | + | 0.0801447i | ||||
\(915\) | 7.26793 | − | 9.11370i | 0.240270 | − | 0.301289i | ||||
\(916\) | 13.4558 | 0.444594 | ||||||||
\(917\) | 37.5866 | − | 47.1321i | 1.24122 | − | 1.55644i | ||||
\(918\) | 0.746387 | − | 0.359441i | 0.0246344 | − | 0.0118633i | ||||
\(919\) | 5.07654 | + | 6.36578i | 0.167460 | + | 0.209988i | 0.858479 | − | 0.512848i | \(-0.171410\pi\) |
−0.691020 | + | 0.722836i | \(0.742838\pi\) | |||||||
\(920\) | −10.0645 | − | 12.6204i | −0.331815 | − | 0.416083i | ||||
\(921\) | −6.30678 | − | 3.03719i | −0.207816 | − | 0.100079i | ||||
\(922\) | 7.52098 | − | 32.9516i | 0.247690 | − | 1.08520i | ||||
\(923\) | −7.52098 | − | 32.9516i | −0.247556 | − | 1.08461i | ||||
\(924\) | −9.75608 | + | 4.69828i | −0.320951 | + | 0.154562i | ||||
\(925\) | 14.4155 | + | 6.94214i | 0.473979 | + | 0.228256i | ||||
\(926\) | 13.9675 | + | 61.1958i | 0.459002 | + | 2.01102i | ||||
\(927\) | −13.6569 | −0.448550 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.6863 | 0.613077 | 0.306539 | − | 0.951858i | \(-0.400829\pi\) | ||||
0.306539 | + | 0.951858i | \(0.400829\pi\) | |||||||
\(930\) | 13.0616 | + | 57.2268i | 0.428308 | + | 1.87654i | ||||
\(931\) | 5.40581 | + | 2.60330i | 0.177168 | + | 0.0853198i | ||||
\(932\) | −63.1694 | + | 30.4208i | −2.06918 | + | 0.996465i | ||||
\(933\) | −1.44311 | − | 6.32268i | −0.0472453 | − | 0.206995i | ||||
\(934\) | −20.6050 | + | 90.2764i | −0.674216 | + | 2.95393i | ||||
\(935\) | −0.309164 | − | 0.148885i | −0.0101107 | − | 0.00486907i | ||||
\(936\) | −29.8022 | − | 37.3708i | −0.974115 | − | 1.22150i | ||||
\(937\) | −10.3670 | − | 12.9998i | −0.338676 | − | 0.424686i | 0.583105 | − | 0.812397i | \(-0.301837\pi\) |
−0.921781 | + | 0.387710i | \(0.873266\pi\) | |||||||
\(938\) | 34.8021 | − | 16.7598i | 1.13633 | − | 0.547227i | ||||
\(939\) | −14.7941 | + | 18.5512i | −0.482788 | + | 0.605397i | ||||
\(940\) | −12.4142 | −0.404907 | ||||||||
\(941\) | −35.2883 | + | 44.2501i | −1.15036 | + | 1.44251i | −0.273436 | + | 0.961890i | \(0.588160\pi\) |
−0.876928 | + | 0.480621i | \(0.840411\pi\) | |||||||
\(942\) | −11.0050 | + | 48.2159i | −0.358561 | + | 1.57096i | ||||
\(943\) | −3.64979 | + | 15.9908i | −0.118854 | + | 0.520732i | ||||
\(944\) | −6.84003 | + | 8.57713i | −0.222624 | + | 0.279162i | ||||
\(945\) | 1.17157 | 0.0381113 | ||||||||
\(946\) | −2.23570 | + | 2.80348i | −0.0726889 | + | 0.0911490i | ||||
\(947\) | 2.35624 | − | 1.13470i | 0.0765674 | − | 0.0368729i | −0.395208 | − | 0.918592i | \(-0.629328\pi\) |
0.471776 | + | 0.881719i | \(0.343613\pi\) | |||||||
\(948\) | −13.9124 | − | 17.4456i | −0.451853 | − | 0.566605i | ||||
\(949\) | 9.54794 | + | 11.9727i | 0.309939 | + | 0.388652i | ||||
\(950\) | −52.2032 | − | 25.1397i | −1.69369 | − | 0.815640i | ||||
\(951\) | 16.8985 | − | 74.0371i | 0.547971 | − | 2.40082i | ||||
\(952\) | −2.30157 | − | 10.0838i | −0.0745942 | − | 0.326819i | ||||
\(953\) | 32.0992 | − | 15.4582i | 1.03979 | − | 0.500739i | 0.165538 | − | 0.986203i | \(-0.447064\pi\) |
0.874256 | + | 0.485465i | \(0.161350\pi\) | |||||||
\(954\) | −58.3554 | − | 28.1025i | −1.88932 | − | 0.909851i | ||||
\(955\) | −5.63283 | − | 24.6790i | −0.182274 | − | 0.798595i | ||||
\(956\) | −75.2548 | −2.43392 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.6569 | −0.538159 | ||||||||
\(959\) | −7.55261 | − | 33.0902i | −0.243887 | − | 1.06854i | ||||
\(960\) | 21.3781 | + | 10.2952i | 0.689976 | + | 0.332275i | ||||
\(961\) | −63.4520 | + | 30.5569i | −2.04684 | + | 0.985706i | ||||
\(962\) | 8.22672 | + | 36.0436i | 0.265240 | + | 1.16209i | ||||
\(963\) | 9.33278 | − | 40.8896i | 0.300745 | − | 1.31765i | ||||
\(964\) | 63.1694 | + | 30.4208i | 2.03455 | + | 0.979787i | ||||
\(965\) | −3.22442 | − | 4.04330i | −0.103798 | − | 0.130158i | ||||
\(966\) | 37.5866 | + | 47.1321i | 1.20933 | + | 1.51645i | ||||
\(967\) | −31.7525 | + | 15.2912i | −1.02109 | + | 0.491732i | −0.868044 | − | 0.496487i | \(-0.834623\pi\) |
−0.153048 | + | 0.988219i | \(0.548909\pi\) | |||||||
\(968\) | −29.8022 | + | 37.3708i | −0.957878 | + | 1.20114i | ||||
\(969\) | −12.0000 | −0.385496 | ||||||||
\(970\) | 6.75141 | − | 8.46601i | 0.216775 | − | 0.271827i | ||||
\(971\) | −3.48398 | + | 15.2643i | −0.111806 | + | 0.489855i | 0.887757 | + | 0.460312i | \(0.152262\pi\) |
−0.999564 | + | 0.0295431i | \(0.990595\pi\) | |||||||
\(972\) | −18.4496 | + | 80.8329i | −0.591771 | + | 2.59272i | ||||
\(973\) | −24.6889 | + | 30.9589i | −0.791491 | + | 0.992498i | ||||
\(974\) | −27.7990 | −0.890737 | ||||||||
\(975\) | −23.0508 | + | 28.9047i | −0.738215 | + | 0.925693i | ||||
\(976\) | −13.0508 | + | 6.28493i | −0.417746 | + | 0.201176i | ||||
\(977\) | 22.5526 | + | 28.2801i | 0.721522 | + | 0.904760i | 0.998423 | − | 0.0561387i | \(-0.0178789\pi\) |
−0.276901 | + | 0.960898i | \(0.589307\pi\) | |||||||
\(978\) | 14.2776 | + | 17.9035i | 0.456547 | + | 0.572492i | ||||
\(979\) | −4.65943 | − | 2.24386i | −0.148916 | − | 0.0717141i | ||||
\(980\) | 0.851905 | − | 3.73244i | 0.0272131 | − | 0.119228i | ||||
\(981\) | −7.96602 | − | 34.9014i | −0.254336 | − | 1.11432i | ||||
\(982\) | −46.2055 | + | 22.2514i | −1.47448 | + | 0.710071i | ||||
\(983\) | −19.7042 | − | 9.48906i | −0.628468 | − | 0.302654i | 0.0924051 | − | 0.995721i | \(-0.470545\pi\) |
−0.720873 | + | 0.693067i | \(0.756259\pi\) | |||||||
\(984\) | 10.6363 | + | 46.6006i | 0.339072 | + | 1.48557i | ||||
\(985\) | −2.00000 | −0.0637253 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 22.1421 | 0.704792 | ||||||||
\(988\) | −19.5687 | − | 85.7363i | −0.622565 | − | 2.72763i | ||||
\(989\) | 11.8141 | + | 5.68939i | 0.375668 | + | 0.180912i | ||||
\(990\) | 2.54832 | − | 1.22721i | 0.0809911 | − | 0.0390032i | ||||
\(991\) | 2.85459 | + | 12.5068i | 0.0906792 | + | 0.397291i | 0.999816 | − | 0.0192072i | \(-0.00611423\pi\) |
−0.909136 | + | 0.416499i | \(0.863257\pi\) | |||||||
\(992\) | −3.55378 | + | 15.5701i | −0.112833 | + | 0.494353i | ||||
\(993\) | 5.25123 | + | 2.52886i | 0.166643 | + | 0.0802509i | ||||
\(994\) | 37.5866 | + | 47.1321i | 1.19218 | + | 1.49494i | ||||
\(995\) | 0.302568 | + | 0.379408i | 0.00959205 | + | 0.0120281i | ||||
\(996\) | 63.7612 | − | 30.7058i | 2.02035 | − | 0.972949i | ||||
\(997\) | −17.6350 | + | 22.1135i | −0.558505 | + | 0.700343i | −0.978281 | − | 0.207285i | \(-0.933537\pi\) |
0.419776 | + | 0.907628i | \(0.362109\pi\) | |||||||
\(998\) | 45.7990 | 1.44974 | ||||||||
\(999\) | 1.03303 | − | 1.29538i | 0.0326837 | − | 0.0409840i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))