Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [529,2,Mod(118,529)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(529, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("529.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 529 = 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 529.c (of order \(11\), degree \(10\), 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: | \(4.22408626693\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | 20.0.54296067514572573056640625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 23) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 170.1 | ||
Root | \(0.256741 + 0.562183i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 529.170 |
Dual form | 529.2.c.o.501.1 |
$q$-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 \(\left(\mathbb{Z}/529\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.592999 | + | 0.174120i | −0.419314 | + | 0.123122i | −0.484581 | − | 0.874746i | \(-0.661028\pi\) |
0.0652676 | + | 0.997868i | \(0.479210\pi\) | |||||||
\(3\) | 1.46431 | + | 1.68991i | 0.845422 | + | 0.975669i | 0.999924 | − | 0.0123239i | \(-0.00392292\pi\) |
−0.154502 | + | 0.987992i | \(0.549377\pi\) | |||||||
\(4\) | −1.36118 | + | 0.874775i | −0.680588 | + | 0.437388i | ||||
\(5\) | −0.175911 | − | 1.22349i | −0.0786697 | − | 0.547160i | −0.990597 | − | 0.136809i | \(-0.956315\pi\) |
0.911928 | − | 0.410351i | \(-0.134594\pi\) | |||||||
\(6\) | −1.16258 | − | 0.747147i | −0.474623 | − | 0.305022i | ||||
\(7\) | 1.34431 | − | 2.94363i | 0.508102 | − | 1.11259i | −0.465649 | − | 0.884970i | \(-0.654179\pi\) |
0.973750 | − | 0.227618i | \(-0.0730938\pi\) | |||||||
\(8\) | 1.46431 | − | 1.68991i | 0.517713 | − | 0.597472i | ||||
\(9\) | −0.284630 | + | 1.97964i | −0.0948766 | + | 0.659881i | ||||
\(10\) | 0.317349 | + | 0.694897i | 0.100355 | + | 0.219746i | ||||
\(11\) | 5.02397 | + | 1.47517i | 1.51478 | + | 0.444781i | 0.930354 | − | 0.366663i | \(-0.119500\pi\) |
0.584430 | + | 0.811444i | \(0.301318\pi\) | |||||||
\(12\) | −3.47148 | − | 1.01932i | −1.00213 | − | 0.294252i | ||||
\(13\) | 1.24625 | + | 2.72890i | 0.345646 | + | 0.756860i | 1.00000 | 0.000670851i | \(0.000213539\pi\) | |
−0.654354 | + | 0.756189i | \(0.727059\pi\) | |||||||
\(14\) | −0.284630 | + | 1.97964i | −0.0760705 | + | 0.529082i | ||||
\(15\) | 1.80999 | − | 2.08884i | 0.467338 | − | 0.539336i | ||||
\(16\) | 0.770222 | − | 1.68655i | 0.192555 | − | 0.421638i | ||||
\(17\) | 0.642661 | + | 0.413013i | 0.155868 | + | 0.100170i | 0.616250 | − | 0.787551i | \(-0.288651\pi\) |
−0.460382 | + | 0.887721i | \(0.652287\pi\) | |||||||
\(18\) | −0.175911 | − | 1.22349i | −0.0414626 | − | 0.288379i | ||||
\(19\) | −1.68251 | + | 1.08128i | −0.385994 | + | 0.248063i | −0.719218 | − | 0.694785i | \(-0.755500\pi\) |
0.333224 | + | 0.942848i | \(0.391863\pi\) | |||||||
\(20\) | 1.30972 | + | 1.51150i | 0.292863 | + | 0.337981i | ||||
\(21\) | 6.94296 | − | 2.03864i | 1.51508 | − | 0.444867i | ||||
\(22\) | −3.23607 | −0.689932 | ||||||||
\(23\) | 0 | 0 | ||||||||
\(24\) | 5.00000 | 1.02062 | ||||||||
\(25\) | 3.33149 | − | 0.978214i | 0.666298 | − | 0.195643i | ||||
\(26\) | −1.21418 | − | 1.40124i | −0.238120 | − | 0.274805i | ||||
\(27\) | 1.88110 | − | 1.20891i | 0.362018 | − | 0.232655i | ||||
\(28\) | 0.745170 | + | 5.18277i | 0.140824 | + | 0.979452i | ||||
\(29\) | −2.52376 | − | 1.62192i | −0.468651 | − | 0.301183i | 0.284919 | − | 0.958552i | \(-0.408033\pi\) |
−0.753570 | + | 0.657368i | \(0.771670\pi\) | |||||||
\(30\) | −0.709614 | + | 1.55384i | −0.129557 | + | 0.283691i | ||||
\(31\) | −4.39294 | + | 5.06972i | −0.788995 | + | 0.910549i | −0.997724 | − | 0.0674245i | \(-0.978522\pi\) |
0.208729 | + | 0.977973i | \(0.433067\pi\) | |||||||
\(32\) | −0.799530 | + | 5.56085i | −0.141338 | + | 0.983029i | ||||
\(33\) | 4.86376 | + | 10.6502i | 0.846673 | + | 1.85395i | ||||
\(34\) | −0.453011 | − | 0.133016i | −0.0776908 | − | 0.0228121i | ||||
\(35\) | −3.83797 | − | 1.12693i | −0.648736 | − | 0.190486i | ||||
\(36\) | −1.34431 | − | 2.94363i | −0.224052 | − | 0.490605i | ||||
\(37\) | 0.175911 | − | 1.22349i | 0.0289196 | − | 0.201140i | −0.970239 | − | 0.242148i | \(-0.922148\pi\) |
0.999159 | + | 0.0410084i | \(0.0130570\pi\) | |||||||
\(38\) | 0.809452 | − | 0.934158i | 0.131311 | − | 0.151540i | ||||
\(39\) | −2.78669 | + | 6.10200i | −0.446227 | + | 0.977102i | ||||
\(40\) | −2.32517 | − | 1.49429i | −0.367641 | − | 0.236269i | ||||
\(41\) | 0.494136 | + | 3.43679i | 0.0771712 | + | 0.536737i | 0.991331 | + | 0.131384i | \(0.0419422\pi\) |
−0.914160 | + | 0.405353i | \(0.867149\pi\) | |||||||
\(42\) | −3.76220 | + | 2.41782i | −0.580520 | + | 0.373078i | ||||
\(43\) | 0 | 0 | 0.755750 | − | 0.654861i | \(-0.227273\pi\) | ||||
−0.755750 | + | 0.654861i | \(0.772727\pi\) | |||||||
\(44\) | −8.12895 | + | 2.38688i | −1.22549 | + | 0.359835i | ||||
\(45\) | 2.47214 | 0.368524 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.23607 | −0.326164 | −0.163082 | − | 0.986613i | \(-0.552144\pi\) | ||||
−0.163082 | + | 0.986613i | \(0.552144\pi\) | |||||||
\(48\) | 3.97796 | − | 1.16803i | 0.574169 | − | 0.168591i | ||||
\(49\) | −2.27377 | − | 2.62407i | −0.324824 | − | 0.374866i | ||||
\(50\) | −1.80524 | + | 1.16016i | −0.255300 | + | 0.164071i | ||||
\(51\) | 0.243103 | + | 1.69082i | 0.0340412 | + | 0.236762i | ||||
\(52\) | −4.08353 | − | 2.62433i | −0.566284 | − | 0.363928i | ||||
\(53\) | 0.196132 | − | 0.429470i | 0.0269409 | − | 0.0589922i | −0.895683 | − | 0.444693i | \(-0.853313\pi\) |
0.922624 | + | 0.385700i | \(0.126040\pi\) | |||||||
\(54\) | −0.904995 | + | 1.04442i | −0.123154 | + | 0.142128i | ||||
\(55\) | 0.921081 | − | 6.40626i | 0.124199 | − | 0.863820i | ||||
\(56\) | −3.00597 | − | 6.58216i | −0.401690 | − | 0.879578i | ||||
\(57\) | −4.29098 | − | 1.25995i | −0.568355 | − | 0.166884i | ||||
\(58\) | 1.77900 | + | 0.522361i | 0.233594 | + | 0.0685893i | ||||
\(59\) | 2.68862 | + | 5.88726i | 0.350029 | + | 0.766456i | 0.999979 | + | 0.00647940i | \(0.00206247\pi\) |
−0.649950 | + | 0.759977i | \(0.725210\pi\) | |||||||
\(60\) | −0.636451 | + | 4.42662i | −0.0821655 | + | 0.571474i | ||||
\(61\) | 4.54753 | − | 5.24813i | 0.582252 | − | 0.671954i | −0.385836 | − | 0.922568i | \(-0.626087\pi\) |
0.968087 | + | 0.250613i | \(0.0806323\pi\) | |||||||
\(62\) | 1.72227 | − | 3.77124i | 0.218728 | − | 0.478948i | ||||
\(63\) | 5.44471 | + | 3.49910i | 0.685969 | + | 0.440845i | ||||
\(64\) | 0.0335960 | + | 0.233665i | 0.00419950 | + | 0.0292081i | ||||
\(65\) | 3.11954 | − | 2.00481i | 0.386931 | − | 0.248666i | ||||
\(66\) | −4.73862 | − | 5.46866i | −0.583283 | − | 0.673145i | ||||
\(67\) | 2.65197 | − | 0.778690i | 0.323990 | − | 0.0951321i | −0.115693 | − | 0.993285i | \(-0.536909\pi\) |
0.439683 | + | 0.898153i | \(0.355091\pi\) | |||||||
\(68\) | −1.23607 | −0.149895 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.47214 | 0.295477 | ||||||||
\(71\) | −11.7404 | + | 3.44730i | −1.39333 | + | 0.409119i | −0.890389 | − | 0.455201i | \(-0.849568\pi\) |
−0.502943 | + | 0.864320i | \(0.667749\pi\) | |||||||
\(72\) | 2.92863 | + | 3.37981i | 0.345142 | + | 0.398315i | ||||
\(73\) | 5.49159 | − | 3.52923i | 0.642742 | − | 0.413065i | −0.178266 | − | 0.983982i | \(-0.557049\pi\) |
0.821008 | + | 0.570917i | \(0.193412\pi\) | |||||||
\(74\) | 0.108719 | + | 0.756156i | 0.0126383 | + | 0.0879014i | ||||
\(75\) | 6.53144 | + | 4.19750i | 0.754185 | + | 0.484685i | ||||
\(76\) | 1.34431 | − | 2.94363i | 0.154203 | − | 0.337658i | ||||
\(77\) | 11.0961 | − | 12.8056i | 1.26452 | − | 1.45934i | ||||
\(78\) | 0.590023 | − | 4.10370i | 0.0668069 | − | 0.464652i | ||||
\(79\) | −4.54641 | − | 9.95526i | −0.511512 | − | 1.12005i | −0.972554 | − | 0.232676i | \(-0.925252\pi\) |
0.461043 | − | 0.887378i | \(-0.347476\pi\) | |||||||
\(80\) | −2.19896 | − | 0.645674i | −0.245851 | − | 0.0721885i | ||||
\(81\) | 10.5544 | + | 3.09906i | 1.17271 | + | 0.344340i | ||||
\(82\) | −0.891438 | − | 1.95198i | −0.0984429 | − | 0.215560i | ||||
\(83\) | 1.24724 | − | 8.67473i | 0.136902 | − | 0.952175i | −0.799355 | − | 0.600859i | \(-0.794825\pi\) |
0.936257 | − | 0.351316i | \(-0.114266\pi\) | |||||||
\(84\) | −7.66724 | + | 8.84847i | −0.836565 | + | 0.965447i | ||||
\(85\) | 0.392265 | − | 0.858940i | 0.0425471 | − | 0.0931651i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.954677 | − | 6.63992i | −0.102352 | − | 0.711875i | ||||
\(88\) | 9.84957 | − | 6.32993i | 1.04997 | − | 0.674773i | ||||
\(89\) | 6.85779 | + | 7.91431i | 0.726924 | + | 0.838915i | 0.992122 | − | 0.125279i | \(-0.0399825\pi\) |
−0.265197 | + | 0.964194i | \(0.585437\pi\) | |||||||
\(90\) | −1.46597 | + | 0.430449i | −0.154527 | + | 0.0453733i | ||||
\(91\) | 9.70820 | 1.01770 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.0000 | −1.55543 | ||||||||
\(94\) | 1.32599 | − | 0.389345i | 0.136765 | − | 0.0401579i | ||||
\(95\) | 1.61890 | + | 1.86832i | 0.166096 | + | 0.191685i | ||||
\(96\) | −10.5681 | + | 6.79170i | −1.07860 | + | 0.693175i | ||||
\(97\) | −2.52014 | − | 17.5280i | −0.255881 | − | 1.77969i | −0.561436 | − | 0.827520i | \(-0.689751\pi\) |
0.305555 | − | 0.952175i | \(-0.401158\pi\) | |||||||
\(98\) | 1.80524 | + | 1.16016i | 0.182357 | + | 0.117194i | ||||
\(99\) | −4.35028 | + | 9.52579i | −0.437220 | + | 0.957378i | ||||
\(100\) | −3.67903 | + | 4.24583i | −0.367903 | + | 0.424583i | ||||
\(101\) | −0.636451 | + | 4.42662i | −0.0633293 | + | 0.440465i | 0.933345 | + | 0.358980i | \(0.116875\pi\) |
−0.996675 | + | 0.0814849i | \(0.974034\pi\) | |||||||
\(102\) | −0.438565 | − | 0.960324i | −0.0434244 | − | 0.0950862i | ||||
\(103\) | 4.01101 | + | 1.17774i | 0.395216 | + | 0.116046i | 0.473301 | − | 0.880901i | \(-0.343062\pi\) |
−0.0780848 | + | 0.996947i | \(0.524880\pi\) | |||||||
\(104\) | 6.43647 | + | 1.88992i | 0.631148 | + | 0.185322i | ||||
\(105\) | −3.71558 | − | 8.13600i | −0.362604 | − | 0.793992i | ||||
\(106\) | −0.0415269 | + | 0.288826i | −0.00403345 | + | 0.0280533i | ||||
\(107\) | −8.78588 | + | 10.1394i | −0.849363 | + | 0.980217i | −0.999965 | − | 0.00837738i | \(-0.997333\pi\) |
0.150602 | + | 0.988594i | \(0.451879\pi\) | |||||||
\(108\) | −1.50299 | + | 3.29108i | −0.144625 | + | 0.316684i | ||||
\(109\) | 0 | 0 | 0.540641 | − | 0.841254i | \(-0.318182\pi\) | ||||
−0.540641 | + | 0.841254i | \(0.681818\pi\) | |||||||
\(110\) | 0.569259 | + | 3.95929i | 0.0542767 | + | 0.377503i | ||||
\(111\) | 2.32517 | − | 1.49429i | 0.220695 | − | 0.141832i | ||||
\(112\) | −3.92916 | − | 4.53450i | −0.371271 | − | 0.428470i | ||||
\(113\) | −8.40893 | + | 2.46908i | −0.791046 | + | 0.232272i | −0.652205 | − | 0.758043i | \(-0.726156\pi\) |
−0.138841 | + | 0.990315i | \(0.544338\pi\) | |||||||
\(114\) | 2.76393 | 0.258866 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.85410 | 0.450692 | ||||||||
\(117\) | −5.75696 | + | 1.69040i | −0.532231 | + | 0.156277i | ||||
\(118\) | −2.61944 | − | 3.02300i | −0.241139 | − | 0.278290i | ||||
\(119\) | 2.07969 | − | 1.33654i | 0.190645 | − | 0.122520i | ||||
\(120\) | −0.879554 | − | 6.11743i | −0.0802919 | − | 0.558443i | ||||
\(121\) | 13.8104 | + | 8.87538i | 1.25549 | + | 0.806853i | ||||
\(122\) | −1.78288 | + | 3.90396i | −0.161414 | + | 0.353447i | ||||
\(123\) | −5.08429 | + | 5.86759i | −0.458435 | + | 0.529063i | ||||
\(124\) | 1.54470 | − | 10.7436i | 0.138718 | − | 0.964806i | ||||
\(125\) | −4.35028 | − | 9.52579i | −0.389101 | − | 0.852013i | ||||
\(126\) | −3.83797 | − | 1.12693i | −0.341914 | − | 0.100395i | ||||
\(127\) | 6.99643 | + | 2.05434i | 0.620833 | + | 0.182293i | 0.576998 | − | 0.816746i | \(-0.304224\pi\) |
0.0438350 | + | 0.999039i | \(0.486042\pi\) | |||||||
\(128\) | −4.72824 | − | 10.3534i | −0.417921 | − | 0.915120i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.50081 | + | 1.73202i | −0.131630 | + | 0.151909i | ||||
\(131\) | 7.77167 | − | 17.0176i | 0.679014 | − | 1.48683i | −0.184671 | − | 0.982800i | \(-0.559122\pi\) |
0.863685 | − | 0.504033i | \(-0.168151\pi\) | |||||||
\(132\) | −15.9369 | − | 10.2420i | −1.38713 | − | 0.891456i | ||||
\(133\) | 0.921081 | + | 6.40626i | 0.0798679 | + | 0.555493i | ||||
\(134\) | −1.43703 | + | 0.923525i | −0.124141 | + | 0.0797804i | ||||
\(135\) | −1.80999 | − | 2.08884i | −0.155779 | − | 0.179779i | ||||
\(136\) | 1.63901 | − | 0.481257i | 0.140544 | − | 0.0412674i | ||||
\(137\) | −21.8885 | −1.87006 | −0.935032 | − | 0.354563i | \(-0.884630\pi\) | ||||
−0.935032 | + | 0.354563i | \(0.884630\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.7082 | −0.908258 | −0.454129 | − | 0.890936i | \(-0.650049\pi\) | ||||
−0.454129 | + | 0.890936i | \(0.650049\pi\) | |||||||
\(140\) | 6.20997 | − | 1.82341i | 0.524838 | − | 0.154106i | ||||
\(141\) | −3.27430 | − | 3.77875i | −0.275746 | − | 0.318228i | ||||
\(142\) | 6.36182 | − | 4.08849i | 0.533872 | − | 0.343099i | ||||
\(143\) | 2.23551 | + | 15.5483i | 0.186943 | + | 1.30022i | ||||
\(144\) | 3.11954 | + | 2.00481i | 0.259962 | + | 0.167067i | ||||
\(145\) | −1.54044 | + | 3.37310i | −0.127927 | + | 0.280121i | ||||
\(146\) | −2.64200 | + | 3.04903i | −0.218653 | + | 0.252339i | ||||
\(147\) | 1.10492 | − | 7.68491i | 0.0911325 | − | 0.633840i | ||||
\(148\) | 0.830830 | + | 1.81926i | 0.0682938 | + | 0.149543i | ||||
\(149\) | −22.9209 | − | 6.73018i | −1.87775 | − | 0.551358i | −0.996965 | − | 0.0778452i | \(-0.975196\pi\) |
−0.880787 | − | 0.473513i | \(-0.842986\pi\) | |||||||
\(150\) | −4.60401 | − | 1.35186i | −0.375916 | − | 0.110379i | ||||
\(151\) | 1.75973 | + | 3.85326i | 0.143204 | + | 0.313574i | 0.967620 | − | 0.252411i | \(-0.0812234\pi\) |
−0.824416 | + | 0.565985i | \(0.808496\pi\) | |||||||
\(152\) | −0.636451 | + | 4.42662i | −0.0516230 | + | 0.359046i | ||||
\(153\) | −1.00054 | + | 1.15468i | −0.0808887 | + | 0.0933506i | ||||
\(154\) | −4.35028 | + | 9.52579i | −0.350556 | + | 0.767610i | ||||
\(155\) | 6.97550 | + | 4.48288i | 0.560286 | + | 0.360074i | ||||
\(156\) | −1.54470 | − | 10.7436i | −0.123675 | − | 0.860178i | ||||
\(157\) | −9.60409 | + | 6.17218i | −0.766490 | + | 0.492593i | −0.864525 | − | 0.502590i | \(-0.832381\pi\) |
0.0980350 | + | 0.995183i | \(0.468744\pi\) | |||||||
\(158\) | 4.42943 | + | 5.11184i | 0.352387 | + | 0.406676i | ||||
\(159\) | 1.01296 | − | 0.297433i | 0.0803332 | − | 0.0235880i | ||||
\(160\) | 6.94427 | 0.548993 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −6.79837 | −0.534131 | ||||||||
\(163\) | 5.53045 | − | 1.62389i | 0.433178 | − | 0.127193i | −0.0578716 | − | 0.998324i | \(-0.518431\pi\) |
0.491050 | + | 0.871131i | \(0.336613\pi\) | |||||||
\(164\) | −3.67903 | − | 4.24583i | −0.287284 | − | 0.331543i | ||||
\(165\) | 12.1747 | − | 7.82423i | 0.947802 | − | 0.609115i | ||||
\(166\) | 0.770835 | + | 5.36128i | 0.0598284 | + | 0.416116i | ||||
\(167\) | 1.28532 | + | 0.826026i | 0.0994611 | + | 0.0639198i | 0.589426 | − | 0.807822i | \(-0.299354\pi\) |
−0.489965 | + | 0.871742i | \(0.662990\pi\) | |||||||
\(168\) | 6.72156 | − | 14.7182i | 0.518579 | − | 1.13553i | ||||
\(169\) | 2.61944 | − | 3.02300i | 0.201496 | − | 0.232538i | ||||
\(170\) | −0.0830538 | + | 0.577652i | −0.00636994 | + | 0.0443039i | ||||
\(171\) | −1.66166 | − | 3.63853i | −0.127070 | − | 0.278245i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −22.0149 | − | 6.46415i | −1.67376 | − | 0.491460i | −0.699076 | − | 0.715048i | \(-0.746405\pi\) |
−0.974684 | + | 0.223588i | \(0.928223\pi\) | |||||||
\(174\) | 1.72227 | + | 3.77124i | 0.130565 | + | 0.285897i | ||||
\(175\) | 1.59906 | − | 11.1217i | 0.120878 | − | 0.840722i | ||||
\(176\) | 6.35752 | − | 7.33697i | 0.479216 | − | 0.553045i | ||||
\(177\) | −6.01194 | + | 13.1643i | −0.451885 | + | 0.989491i | ||||
\(178\) | −5.44471 | − | 3.49910i | −0.408098 | − | 0.262269i | ||||
\(179\) | −0.100788 | − | 0.700995i | −0.00753324 | − | 0.0523949i | 0.985708 | − | 0.168462i | \(-0.0538802\pi\) |
−0.993241 | + | 0.116068i | \(0.962971\pi\) | |||||||
\(180\) | −3.36501 | + | 2.16256i | −0.250813 | + | 0.161188i | ||||
\(181\) | −10.9051 | − | 12.5851i | −0.810566 | − | 0.935443i | 0.188345 | − | 0.982103i | \(-0.439688\pi\) |
−0.998911 | + | 0.0466598i | \(0.985142\pi\) | |||||||
\(182\) | −5.75696 | + | 1.69040i | −0.426734 | + | 0.125300i | ||||
\(183\) | 15.5279 | 1.14785 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.52786 | −0.112331 | ||||||||
\(186\) | 8.89499 | − | 2.61180i | 0.652212 | − | 0.191507i | ||||
\(187\) | 2.61944 | + | 3.02300i | 0.191553 | + | 0.221064i | ||||
\(188\) | 3.04368 | − | 1.95606i | 0.221983 | − | 0.142660i | ||||
\(189\) | −1.02980 | − | 7.16242i | −0.0749069 | − | 0.520989i | ||||
\(190\) | −1.28532 | − | 0.826026i | −0.0932470 | − | 0.0599262i | ||||
\(191\) | −10.8757 | + | 23.8145i | −0.786938 | + | 1.72315i | −0.101725 | + | 0.994813i | \(0.532436\pi\) |
−0.685213 | + | 0.728342i | \(0.740291\pi\) | |||||||
\(192\) | −0.345677 | + | 0.398933i | −0.0249471 | + | 0.0287905i | ||||
\(193\) | −1.41522 | + | 9.84305i | −0.101870 | + | 0.708518i | 0.873320 | + | 0.487147i | \(0.161962\pi\) |
−0.975190 | + | 0.221371i | \(0.928947\pi\) | |||||||
\(194\) | 4.54641 | + | 9.95526i | 0.326414 | + | 0.714746i | ||||
\(195\) | 7.95592 | + | 2.33607i | 0.569735 | + | 0.167289i | ||||
\(196\) | 5.39046 | + | 1.58278i | 0.385033 | + | 0.113056i | ||||
\(197\) | −0.611547 | − | 1.33910i | −0.0435709 | − | 0.0954071i | 0.886595 | − | 0.462547i | \(-0.153064\pi\) |
−0.930166 | + | 0.367140i | \(0.880337\pi\) | |||||||
\(198\) | 0.921081 | − | 6.40626i | 0.0654584 | − | 0.455273i | ||||
\(199\) | 8.04941 | − | 9.28952i | 0.570608 | − | 0.658517i | −0.394951 | − | 0.918702i | \(-0.629238\pi\) |
0.965559 | + | 0.260186i | \(0.0837838\pi\) | |||||||
\(200\) | 3.22525 | − | 7.06232i | 0.228060 | − | 0.499382i | ||||
\(201\) | 5.19923 | + | 3.34134i | 0.366726 | + | 0.235680i | ||||
\(202\) | −0.393349 | − | 2.73580i | −0.0276759 | − | 0.192490i | ||||
\(203\) | −8.16706 | + | 5.24865i | −0.573215 | + | 0.368383i | ||||
\(204\) | −1.80999 | − | 2.08884i | −0.126725 | − | 0.146248i | ||||
\(205\) | 4.11795 | − | 1.20914i | 0.287610 | − | 0.0844499i | ||||
\(206\) | −2.58359 | −0.180007 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.56231 | 0.385677 | ||||||||
\(209\) | −10.0479 | + | 2.95034i | −0.695031 | + | 0.204079i | ||||
\(210\) | 3.61998 | + | 4.17768i | 0.249802 | + | 0.288287i | ||||
\(211\) | −19.6991 | + | 12.6599i | −1.35614 | + | 0.871541i | −0.998067 | − | 0.0621507i | \(-0.980204\pi\) |
−0.358078 | + | 0.933692i | \(0.616568\pi\) | |||||||
\(212\) | 0.108719 | + | 0.756156i | 0.00746684 | + | 0.0519330i | ||||
\(213\) | −23.0173 | − | 14.7923i | −1.57712 | − | 1.01355i | ||||
\(214\) | 3.44454 | − | 7.54248i | 0.235464 | − | 0.515594i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.711574 | − | 4.94911i | 0.0484165 | − | 0.336744i | ||||
\(217\) | 9.01791 | + | 19.7465i | 0.612176 | + | 1.34048i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.0055 | + | 4.11238i | 0.946402 | + | 0.277889i | ||||
\(220\) | 4.35028 | + | 9.52579i | 0.293296 | + | 0.642229i | ||||
\(221\) | −0.326157 | + | 2.26847i | −0.0219397 | + | 0.152594i | ||||
\(222\) | −1.11864 | + | 1.29097i | −0.0750779 | + | 0.0866445i | ||||
\(223\) | 1.66166 | − | 3.63853i | 0.111273 | − | 0.243654i | −0.845800 | − | 0.533499i | \(-0.820877\pi\) |
0.957073 | + | 0.289846i | \(0.0936039\pi\) | |||||||
\(224\) | 15.2943 | + | 9.82903i | 1.02189 | + | 0.656730i | ||||
\(225\) | 0.988273 | + | 6.87359i | 0.0658849 | + | 0.458239i | ||||
\(226\) | 4.55657 | − | 2.92833i | 0.303099 | − | 0.194790i | ||||
\(227\) | 7.97643 | + | 9.20529i | 0.529414 | + | 0.610976i | 0.955963 | − | 0.293488i | \(-0.0948162\pi\) |
−0.426549 | + | 0.904465i | \(0.640271\pi\) | |||||||
\(228\) | 6.94296 | − | 2.03864i | 0.459809 | − | 0.135012i | ||||
\(229\) | −12.0000 | −0.792982 | −0.396491 | − | 0.918039i | \(-0.629772\pi\) | ||||
−0.396491 | + | 0.918039i | \(0.629772\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 37.8885 | 2.49288 | ||||||||
\(232\) | −6.43647 | + | 1.88992i | −0.422575 | + | 0.124079i | ||||
\(233\) | 4.27484 | + | 4.93343i | 0.280054 | + | 0.323200i | 0.878297 | − | 0.478115i | \(-0.158680\pi\) |
−0.598243 | + | 0.801315i | \(0.704134\pi\) | |||||||
\(234\) | 3.11954 | − | 2.00481i | 0.203931 | − | 0.131058i | ||||
\(235\) | 0.393349 | + | 2.73580i | 0.0256592 | + | 0.178464i | ||||
\(236\) | −8.80972 | − | 5.66166i | −0.573464 | − | 0.368543i | ||||
\(237\) | 10.1661 | − | 22.2606i | 0.660359 | − | 1.44598i | ||||
\(238\) | −1.00054 | + | 1.15468i | −0.0648553 | + | 0.0748470i | ||||
\(239\) | −1.95881 | + | 13.6238i | −0.126705 | + | 0.881253i | 0.822985 | + | 0.568062i | \(0.192307\pi\) |
−0.949690 | + | 0.313190i | \(0.898602\pi\) | |||||||
\(240\) | −2.12884 | − | 4.66151i | −0.137416 | − | 0.300899i | ||||
\(241\) | 22.1879 | + | 6.51496i | 1.42925 | + | 0.419665i | 0.902623 | − | 0.430432i | \(-0.141639\pi\) |
0.526626 | + | 0.850097i | \(0.323457\pi\) | |||||||
\(242\) | −9.73492 | − | 2.85843i | −0.625784 | − | 0.183747i | ||||
\(243\) | 7.43117 | + | 16.2720i | 0.476710 | + | 1.04385i | ||||
\(244\) | −1.59906 | + | 11.1217i | −0.102369 | + | 0.711994i | ||||
\(245\) | −2.81053 | + | 3.24352i | −0.179558 | + | 0.207221i | ||||
\(246\) | 1.99332 | − | 4.36475i | 0.127089 | − | 0.278287i | ||||
\(247\) | −5.04752 | − | 3.24384i | −0.321166 | − | 0.206401i | ||||
\(248\) | 2.13472 | + | 14.8473i | 0.135555 | + | 0.942806i | ||||
\(249\) | 16.4858 | − | 10.5948i | 1.04475 | − | 0.671418i | ||||
\(250\) | 4.23835 | + | 4.89131i | 0.268057 | + | 0.309354i | ||||
\(251\) | −2.19896 | + | 0.645674i | −0.138797 | + | 0.0407546i | −0.350393 | − | 0.936603i | \(-0.613952\pi\) |
0.211596 | + | 0.977357i | \(0.432134\pi\) | |||||||
\(252\) | −10.4721 | −0.659683 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −4.50658 | −0.282768 | ||||||||
\(255\) | 2.02593 | − | 0.594866i | 0.126868 | − | 0.0372520i | ||||
\(256\) | 4.29740 | + | 4.95946i | 0.268587 | + | 0.309966i | ||||
\(257\) | −6.28596 | + | 4.03974i | −0.392107 | + | 0.251992i | −0.721808 | − | 0.692093i | \(-0.756689\pi\) |
0.329700 | + | 0.944086i | \(0.393052\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.36501 | − | 2.16256i | −0.209092 | − | 0.134375i | ||||
\(260\) | −2.49249 | + | 5.45779i | −0.154578 | + | 0.338478i | ||||
\(261\) | 3.92916 | − | 4.53450i | 0.243209 | − | 0.280678i | ||||
\(262\) | −1.64549 | + | 11.4446i | −0.101659 | + | 0.707051i | ||||
\(263\) | 1.22309 | + | 2.67820i | 0.0754193 | + | 0.165145i | 0.943586 | − | 0.331127i | \(-0.107429\pi\) |
−0.868167 | + | 0.496272i | \(0.834702\pi\) | |||||||
\(264\) | 25.1199 | + | 7.37585i | 1.54602 | + | 0.453952i | ||||
\(265\) | −0.559953 | − | 0.164417i | −0.0343976 | − | 0.0101001i | ||||
\(266\) | −1.66166 | − | 3.63853i | −0.101883 | − | 0.223092i | ||||
\(267\) | −3.33250 | + | 23.1781i | −0.203946 | + | 1.41847i | ||||
\(268\) | −2.92863 | + | 3.37981i | −0.178894 | + | 0.206455i | ||||
\(269\) | −3.30017 | + | 7.22636i | −0.201215 | + | 0.440599i | −0.983160 | − | 0.182749i | \(-0.941501\pi\) |
0.781945 | + | 0.623348i | \(0.214228\pi\) | |||||||
\(270\) | 1.43703 | + | 0.923525i | 0.0874550 | + | 0.0562039i | ||||
\(271\) | −1.13852 | − | 7.91857i | −0.0691601 | − | 0.481019i | −0.994737 | − | 0.102460i | \(-0.967329\pi\) |
0.925577 | − | 0.378559i | \(-0.123580\pi\) | |||||||
\(272\) | 1.19156 | − | 0.765768i | 0.0722488 | − | 0.0464315i | ||||
\(273\) | 14.2159 | + | 16.4060i | 0.860382 | + | 0.992934i | ||||
\(274\) | 12.9799 | − | 3.81124i | 0.784144 | − | 0.230245i | ||||
\(275\) | 18.1803 | 1.09632 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.4721 | 0.929631 | 0.464815 | − | 0.885408i | \(-0.346121\pi\) | ||||
0.464815 | + | 0.885408i | \(0.346121\pi\) | |||||||
\(278\) | 6.34996 | − | 1.86452i | 0.380845 | − | 0.111826i | ||||
\(279\) | −8.78588 | − | 10.1394i | −0.525997 | − | 0.607033i | ||||
\(280\) | −7.52440 | + | 4.83564i | −0.449669 | + | 0.288985i | ||||
\(281\) | 1.24724 | + | 8.67473i | 0.0744040 | + | 0.517491i | 0.992606 | + | 0.121379i | \(0.0387317\pi\) |
−0.918202 | + | 0.396112i | \(0.870359\pi\) | |||||||
\(282\) | 2.59962 | + | 1.67067i | 0.154805 | + | 0.0994871i | ||||
\(283\) | 11.5104 | − | 25.2043i | 0.684222 | − | 1.49824i | −0.173884 | − | 0.984766i | \(-0.555632\pi\) |
0.858106 | − | 0.513472i | \(-0.171641\pi\) | |||||||
\(284\) | 12.9652 | − | 14.9626i | 0.769342 | − | 0.887868i | ||||
\(285\) | −0.786697 | + | 5.47160i | −0.0465999 | + | 0.324110i | ||||
\(286\) | −4.03293 | − | 8.83089i | −0.238472 | − | 0.522182i | ||||
\(287\) | 10.7809 | + | 3.16557i | 0.636378 | + | 0.186857i | ||||
\(288\) | −10.7809 | − | 3.16557i | −0.635272 | − | 0.186533i | ||||
\(289\) | −6.81962 | − | 14.9329i | −0.401154 | − | 0.878405i | ||||
\(290\) | 0.326157 | − | 2.26847i | 0.0191526 | − | 0.133209i | ||||
\(291\) | 25.9304 | − | 29.9252i | 1.52006 | − | 1.75425i | ||||
\(292\) | −4.38774 | + | 9.60781i | −0.256773 | + | 0.562255i | ||||
\(293\) | −1.28532 | − | 0.826026i | −0.0750893 | − | 0.0482569i | 0.502558 | − | 0.864544i | \(-0.332393\pi\) |
−0.577647 | + | 0.816287i | \(0.696029\pi\) | |||||||
\(294\) | 0.682880 | + | 4.74953i | 0.0398264 | + | 0.276998i | ||||
\(295\) | 6.73003 | − | 4.32513i | 0.391837 | − | 0.251819i | ||||
\(296\) | −1.80999 | − | 2.08884i | −0.105204 | − | 0.121411i | ||||
\(297\) | 11.2339 | − | 3.29858i | 0.651859 | − | 0.191403i | ||||
\(298\) | 14.7639 | 0.855252 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −12.5623 | −0.725285 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.71445 | − | 1.97858i | −0.0986554 | − | 0.113854i | ||||
\(303\) | −8.41254 | + | 5.40641i | −0.483288 | + | 0.310590i | ||||
\(304\) | 0.527732 | + | 3.67046i | 0.0302675 | + | 0.210515i | ||||
\(305\) | −7.22098 | − | 4.64064i | −0.413472 | − | 0.265722i | ||||
\(306\) | 0.392265 | − | 0.858940i | 0.0224243 | − | 0.0491023i | ||||
\(307\) | −6.23942 | + | 7.20068i | −0.356103 | + | 0.410964i | −0.905330 | − | 0.424708i | \(-0.860377\pi\) |
0.549227 | + | 0.835673i | \(0.314922\pi\) | |||||||
\(308\) | −3.90176 | + | 27.1373i | −0.222324 | + | 1.54629i | ||||
\(309\) | 3.88310 | + | 8.50281i | 0.220902 | + | 0.483708i | ||||
\(310\) | −4.91703 | − | 1.44377i | −0.279268 | − | 0.0820006i | ||||
\(311\) | −12.6464 | − | 3.71333i | −0.717114 | − | 0.210564i | −0.0972354 | − | 0.995261i | \(-0.531000\pi\) |
−0.619879 | + | 0.784698i | \(0.712818\pi\) | |||||||
\(312\) | 6.23123 | + | 13.6445i | 0.352774 | + | 0.772467i | ||||
\(313\) | −3.46689 | + | 24.1127i | −0.195960 | + | 1.36293i | 0.619899 | + | 0.784681i | \(0.287173\pi\) |
−0.815859 | + | 0.578250i | \(0.803736\pi\) | |||||||
\(314\) | 4.62052 | − | 5.33236i | 0.260751 | − | 0.300923i | ||||
\(315\) | 3.32332 | − | 7.27706i | 0.187248 | − | 0.410016i | ||||
\(316\) | 14.8971 | + | 9.57378i | 0.838027 | + | 0.538567i | ||||
\(317\) | −3.61713 | − | 25.1577i | −0.203158 | − | 1.41300i | −0.794837 | − | 0.606823i | \(-0.792444\pi\) |
0.591678 | − | 0.806174i | \(-0.298466\pi\) | |||||||
\(318\) | −0.548898 | + | 0.352755i | −0.0307806 | + | 0.0197815i | ||||
\(319\) | −10.2867 | − | 11.8715i | −0.575944 | − | 0.664675i | ||||
\(320\) | 0.279976 | − | 0.0822085i | 0.0156511 | − | 0.00459559i | ||||
\(321\) | −30.0000 | −1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.52786 | −0.0850126 | ||||||||
\(324\) | −17.0774 | + | 5.01438i | −0.948745 | + | 0.278577i | ||||
\(325\) | 6.82130 | + | 7.87220i | 0.378377 | + | 0.436671i | ||||
\(326\) | −2.99680 | + | 1.92593i | −0.165978 | + | 0.106667i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.53144 | + | 4.19750i | 0.360638 | + | 0.231768i | ||||
\(329\) | −3.00597 | + | 6.58216i | −0.165725 | + | 0.362886i | ||||
\(330\) | −5.85725 | + | 6.75963i | −0.322431 | + | 0.372105i | ||||
\(331\) | 2.79684 | − | 19.4524i | 0.153728 | − | 1.06920i | −0.756171 | − | 0.654374i | \(-0.772932\pi\) |
0.909899 | − | 0.414829i | \(-0.136159\pi\) | |||||||
\(332\) | 5.89073 | + | 12.8989i | 0.323296 | + | 0.707919i | ||||
\(333\) | 2.37200 | + | 0.696481i | 0.129985 | + | 0.0381669i | ||||
\(334\) | −0.906022 | − | 0.266032i | −0.0495753 | − | 0.0145566i | ||||
\(335\) | −1.41923 | − | 3.10767i | −0.0775407 | − | 0.169790i | ||||
\(336\) | 1.90935 | − | 13.2798i | 0.104164 | − | 0.724475i | ||||
\(337\) | −15.3345 | + | 17.6969i | −0.835323 | + | 0.964014i | −0.999750 | − | 0.0223755i | \(-0.992877\pi\) |
0.164427 | + | 0.986389i | \(0.447423\pi\) | |||||||
\(338\) | −1.02696 | + | 2.24873i | −0.0558594 | + | 0.122315i | ||||
\(339\) | −16.4858 | − | 10.5948i | −0.895388 | − | 0.575431i | ||||
\(340\) | 0.217438 | + | 1.51231i | 0.0117922 | + | 0.0820167i | ||||
\(341\) | −29.5487 | + | 18.9898i | −1.60015 | + | 1.02836i | ||||
\(342\) | 1.61890 | + | 1.86832i | 0.0875403 | + | 0.101027i | ||||
\(343\) | 10.9540 | − | 3.21637i | 0.591458 | − | 0.173668i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.1803 | 0.762340 | ||||||||
\(347\) | 9.48799 | − | 2.78592i | 0.509342 | − | 0.149556i | −0.0169565 | − | 0.999856i | \(-0.505398\pi\) |
0.526298 | + | 0.850300i | \(0.323579\pi\) | |||||||
\(348\) | 7.10793 | + | 8.20298i | 0.381025 | + | 0.439726i | ||||
\(349\) | 20.5404 | − | 13.2005i | 1.09950 | − | 0.706607i | 0.140521 | − | 0.990078i | \(-0.455122\pi\) |
0.958981 | + | 0.283471i | \(0.0914859\pi\) | |||||||
\(350\) | 0.988273 | + | 6.87359i | 0.0528254 | + | 0.367409i | ||||
\(351\) | 5.64330 | + | 3.62673i | 0.301217 | + | 0.193580i | ||||
\(352\) | −12.2200 | + | 26.7581i | −0.651329 | + | 1.42621i | ||||
\(353\) | −6.12994 | + | 7.07433i | −0.326264 | + | 0.376529i | −0.895057 | − | 0.445952i | \(-0.852865\pi\) |
0.568793 | + | 0.822481i | \(0.307411\pi\) | |||||||
\(354\) | 1.27290 | − | 8.85323i | 0.0676540 | − | 0.470544i | ||||
\(355\) | 6.28299 | + | 13.7578i | 0.333467 | + | 0.730190i | ||||
\(356\) | −16.2579 | − | 4.77375i | −0.861667 | − | 0.253008i | ||||
\(357\) | 5.30395 | + | 1.55738i | 0.280715 | + | 0.0824253i | ||||
\(358\) | 0.181825 | + | 0.398141i | 0.00960973 | + | 0.0210424i | ||||
\(359\) | 2.83043 | − | 19.6861i | 0.149385 | − | 1.03899i | −0.767845 | − | 0.640635i | \(-0.778671\pi\) |
0.917230 | − | 0.398358i | \(-0.130420\pi\) | |||||||
\(360\) | 3.61998 | − | 4.17768i | 0.190790 | − | 0.220183i | ||||
\(361\) | −6.23123 | + | 13.6445i | −0.327959 | + | 0.718131i | ||||
\(362\) | 8.65801 | + | 5.56417i | 0.455055 | + | 0.292446i | ||||
\(363\) | 5.22412 | + | 36.3346i | 0.274195 | + | 1.90707i | ||||
\(364\) | −13.2146 | + | 8.49250i | −0.692632 | + | 0.445128i | ||||
\(365\) | −5.28400 | − | 6.09806i | −0.276577 | − | 0.319187i | ||||
\(366\) | −9.20801 | + | 2.70372i | −0.481310 | + | 0.141326i | ||||
\(367\) | −4.18034 | −0.218212 | −0.109106 | − | 0.994030i | \(-0.534799\pi\) | ||||
−0.109106 | + | 0.994030i | \(0.534799\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.94427 | −0.361504 | ||||||||
\(370\) | 0.906022 | − | 0.266032i | 0.0471019 | − | 0.0138304i | ||||
\(371\) | −1.00054 | − | 1.15468i | −0.0519454 | − | 0.0599481i | ||||
\(372\) | 20.4177 | − | 13.1216i | 1.05861 | − | 0.680325i | ||||
\(373\) | −1.09699 | − | 7.62975i | −0.0568001 | − | 0.395053i | −0.998312 | − | 0.0580743i | \(-0.981504\pi\) |
0.941512 | − | 0.336979i | \(-0.109405\pi\) | |||||||
\(374\) | −2.07969 | − | 1.33654i | −0.107538 | − | 0.0691107i | ||||
\(375\) | 9.72753 | − | 21.3003i | 0.502327 | − | 1.09994i | ||||
\(376\) | −3.27430 | + | 3.77875i | −0.168859 | + | 0.194874i | ||||
\(377\) | 1.28083 | − | 8.90839i | 0.0659663 | − | 0.458806i | ||||
\(378\) | 1.85779 | + | 4.06800i | 0.0955545 | + | 0.209235i | ||||
\(379\) | −23.3739 | − | 6.86320i | −1.20064 | − | 0.352539i | −0.380540 | − | 0.924764i | \(-0.624262\pi\) |
−0.820096 | + | 0.572226i | \(0.806080\pi\) | |||||||
\(380\) | −3.83797 | − | 1.12693i | −0.196884 | − | 0.0578103i | ||||
\(381\) | 6.77332 | + | 14.8315i | 0.347008 | + | 0.759841i | ||||
\(382\) | 2.30270 | − | 16.0156i | 0.117817 | − | 0.819432i | ||||
\(383\) | −4.62052 | + | 5.33236i | −0.236098 | + | 0.272471i | −0.861418 | − | 0.507897i | \(-0.830423\pi\) |
0.625320 | + | 0.780368i | \(0.284968\pi\) | |||||||
\(384\) | 10.5727 | − | 23.1509i | 0.539534 | − | 1.18141i | ||||
\(385\) | −17.6194 | − | 11.3233i | −0.897970 | − | 0.577090i | ||||
\(386\) | −0.874652 | − | 6.08334i | −0.0445186 | − | 0.309634i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.7634 | + | 21.6541i | 0.952566 | + | 1.09932i | ||||
\(389\) | −24.4938 | + | 7.19203i | −1.24189 | + | 0.364650i | −0.835723 | − | 0.549151i | \(-0.814951\pi\) |
−0.406162 | + | 0.913801i | \(0.633133\pi\) | |||||||
\(390\) | −5.12461 | −0.259495 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −7.76393 | −0.392138 | ||||||||
\(393\) | 40.1383 | − | 11.7857i | 2.02471 | − | 0.594508i | ||||
\(394\) | 0.595812 | + | 0.687604i | 0.0300166 | + | 0.0346410i | ||||
\(395\) | −11.3804 | + | 7.31372i | −0.572608 | + | 0.367993i | ||||
\(396\) | −2.41142 | − | 16.7718i | −0.121178 | − | 0.842815i | ||||
\(397\) | −20.5404 | − | 13.2005i | −1.03089 | − | 0.662514i | −0.0881745 | − | 0.996105i | \(-0.528103\pi\) |
−0.942718 | + | 0.333591i | \(0.891740\pi\) | |||||||
\(398\) | −3.15580 | + | 6.91024i | −0.158186 | + | 0.346379i | ||||
\(399\) | −9.47723 | + | 10.9373i | −0.474455 | + | 0.547550i | ||||
\(400\) | 0.916179 | − | 6.37217i | 0.0458090 | − | 0.318608i | ||||
\(401\) | −5.89073 | − | 12.8989i | −0.294169 | − | 0.644140i | 0.703622 | − | 0.710575i | \(-0.251565\pi\) |
−0.997791 | + | 0.0664346i | \(0.978838\pi\) | |||||||
\(402\) | −3.66494 | − | 1.07612i | −0.182790 | − | 0.0536721i | ||||
\(403\) | −19.3094 | − | 5.66976i | −0.961871 | − | 0.282431i | ||||
\(404\) | −3.00597 | − | 6.58216i | −0.149553 | − | 0.327475i | ||||
\(405\) | 1.93502 | − | 13.4584i | 0.0961519 | − | 0.668751i | ||||
\(406\) | 3.92916 | − | 4.53450i | 0.195001 | − | 0.225043i | ||||
\(407\) | 2.68862 | − | 5.88726i | 0.133270 | − | 0.291821i | ||||
\(408\) | 3.21330 | + | 2.06506i | 0.159082 | + | 0.102236i | ||||
\(409\) | −3.03994 | − | 21.1433i | −0.150315 | − | 1.04547i | −0.915691 | − | 0.401883i | \(-0.868356\pi\) |
0.765376 | − | 0.643584i | \(-0.222553\pi\) | |||||||
\(410\) | −2.23140 | + | 1.43404i | −0.110201 | + | 0.0708220i | ||||
\(411\) | −32.0517 | − | 36.9896i | −1.58099 | − | 1.82456i | ||||
\(412\) | −6.48995 | + | 1.90562i | −0.319737 | + | 0.0938832i | ||||
\(413\) | 20.9443 | 1.03060 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.8328 | −0.531762 | ||||||||
\(416\) | −16.1714 | + | 4.74835i | −0.792868 | + | 0.232807i | ||||
\(417\) | −15.6802 | − | 18.0959i | −0.767861 | − | 0.886159i | ||||
\(418\) | 5.44471 | − | 3.49910i | 0.266309 | − | 0.171147i | ||||
\(419\) | 0.652313 | + | 4.53694i | 0.0318676 | + | 0.221644i | 0.999532 | − | 0.0305981i | \(-0.00974119\pi\) |
−0.967664 | + | 0.252242i | \(0.918832\pi\) | |||||||
\(420\) | 12.1747 | + | 7.82423i | 0.594066 | + | 0.381783i | ||||
\(421\) | −4.27537 | + | 9.36175i | −0.208369 | + | 0.456264i | −0.984744 | − | 0.174007i | \(-0.944329\pi\) |
0.776376 | + | 0.630270i | \(0.217056\pi\) | |||||||
\(422\) | 9.47723 | − | 10.9373i | 0.461345 | − | 0.532420i | ||||
\(423\) | 0.636451 | − | 4.42662i | 0.0309453 | − | 0.215229i | ||||
\(424\) | −0.438565 | − | 0.960324i | −0.0212986 | − | 0.0466375i | ||||
\(425\) | 2.54503 | + | 0.747289i | 0.123452 | + | 0.0362488i | ||||
\(426\) | 16.2249 | + | 4.76405i | 0.786097 | + | 0.230819i | ||||
\(427\) | −9.33526 | − | 20.4414i | −0.451765 | − | 0.989227i | ||||
\(428\) | 3.08940 | − | 21.4872i | 0.149332 | − | 1.03863i | ||||
\(429\) | −23.0017 | + | 26.5454i | −1.11053 | + | 1.28162i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.7454 | − | 9.47628i | −0.710260 | − | 0.456456i | 0.134977 | − | 0.990849i | \(-0.456904\pi\) |
−0.845236 | + | 0.534392i | \(0.820540\pi\) | |||||||
\(432\) | −0.590023 | − | 4.10370i | −0.0283875 | − | 0.197439i | ||||
\(433\) | 14.9909 | − | 9.63404i | 0.720414 | − | 0.462982i | −0.128367 | − | 0.991727i | \(-0.540973\pi\) |
0.848781 | + | 0.528745i | \(0.177337\pi\) | |||||||
\(434\) | −8.78588 | − | 10.1394i | −0.421736 | − | 0.486709i | ||||
\(435\) | −7.95592 | + | 2.33607i | −0.381457 | + | 0.112006i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −9.02129 | −0.431054 | ||||||||
\(439\) | 17.9504 | − | 5.27071i | 0.856725 | − | 0.251557i | 0.176266 | − | 0.984343i | \(-0.443598\pi\) |
0.680460 | + | 0.732785i | \(0.261780\pi\) | |||||||
\(440\) | −9.47723 | − | 10.9373i | −0.451809 | − | 0.521416i | ||||
\(441\) | 5.84189 | − | 3.75436i | 0.278185 | − | 0.178779i | ||||
\(442\) | −0.201576 | − | 1.40199i | −0.00958799 | − | 0.0666859i | ||||
\(443\) | 32.0725 | + | 20.6117i | 1.52381 | + | 0.979292i | 0.991118 | + | 0.132982i | \(0.0424553\pi\) |
0.532690 | + | 0.846310i | \(0.321181\pi\) | |||||||
\(444\) | −1.85779 | + | 4.06800i | −0.0881669 | + | 0.193059i | ||||
\(445\) | 8.47670 | − | 9.78263i | 0.401834 | − | 0.463741i | ||||
\(446\) | −0.351822 | + | 2.44697i | −0.0166592 | + | 0.115868i | ||||
\(447\) | −22.1900 | − | 48.5893i | −1.04955 | − | 2.29819i | ||||
\(448\) | 0.732987 | + | 0.215225i | 0.0346304 | + | 0.0101684i | ||||
\(449\) | 14.3389 | + | 4.21029i | 0.676696 | + | 0.198696i | 0.601982 | − | 0.798509i | \(-0.294378\pi\) |
0.0747132 | + | 0.997205i | \(0.476196\pi\) | |||||||
\(450\) | −1.78288 | − | 3.90396i | −0.0840456 | − | 0.184034i | ||||
\(451\) | −2.58733 | + | 17.9953i | −0.121833 | + | 0.847365i | ||||
\(452\) | 9.28615 | − | 10.7168i | 0.436784 | − | 0.504075i | ||||
\(453\) | −3.93487 | + | 8.61616i | −0.184876 | + | 0.404822i | ||||
\(454\) | −6.33284 | − | 4.06987i | −0.297215 | − | 0.191008i | ||||
\(455\) | −1.70778 | − | 11.8779i | −0.0800619 | − | 0.556843i | ||||
\(456\) | −8.41254 | + | 5.40641i | −0.393953 | + | 0.253178i | ||||
\(457\) | 3.35591 | + | 3.87292i | 0.156983 | + | 0.181168i | 0.828793 | − | 0.559556i | \(-0.189028\pi\) |
−0.671810 | + | 0.740724i | \(0.734483\pi\) | |||||||
\(458\) | 7.11599 | − | 2.08944i | 0.332508 | − | 0.0976333i | ||||
\(459\) | 1.70820 | 0.0797321 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.47214 | −0.0685642 | −0.0342821 | − | 0.999412i | \(-0.510914\pi\) | ||||
−0.0342821 | + | 0.999412i | \(0.510914\pi\) | |||||||
\(462\) | −22.4679 | + | 6.59716i | −1.04530 | + | 0.306928i | ||||
\(463\) | 13.0972 | + | 15.1150i | 0.608679 | + | 0.702453i | 0.973516 | − | 0.228618i | \(-0.0734207\pi\) |
−0.364837 | + | 0.931071i | \(0.618875\pi\) | |||||||
\(464\) | −4.67931 | + | 3.00721i | −0.217231 | + | 0.139606i | ||||
\(465\) | 2.63866 | + | 18.3523i | 0.122365 | + | 0.851067i | ||||
\(466\) | −3.39399 | − | 2.18118i | −0.157223 | − | 0.101041i | ||||
\(467\) | −5.42355 | + | 11.8759i | −0.250972 | + | 0.549551i | −0.992624 | − | 0.121233i | \(-0.961315\pi\) |
0.741652 | + | 0.670784i | \(0.234042\pi\) | |||||||
\(468\) | 6.35752 | − | 7.33697i | 0.293877 | − | 0.339152i | ||||
\(469\) | 1.27290 | − | 8.85323i | 0.0587772 | − | 0.408804i | ||||
\(470\) | −0.709614 | − | 1.55384i | −0.0327320 | − | 0.0716732i | ||||
\(471\) | −24.4938 | − | 7.19203i | −1.12862 | − | 0.331391i | ||||
\(472\) | 13.8859 | + | 4.07727i | 0.639151 | + | 0.187672i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −2.15246 | + | 14.9707i | −0.0988656 | + | 0.687625i | ||||
\(475\) | −4.54753 | + | 5.24813i | −0.208655 | + | 0.240801i | ||||
\(476\) | −1.66166 | + | 3.63853i | −0.0761621 | + | 0.166772i | ||||
\(477\) | 0.794372 | + | 0.510512i | 0.0363718 | + | 0.0233747i | ||||
\(478\) | −1.21061 | − | 8.41999i | −0.0553721 | − | 0.385122i | ||||
\(479\) | 26.5809 | − | 17.0825i | 1.21451 | − | 0.780519i | 0.233103 | − | 0.972452i | \(-0.425112\pi\) |
0.981408 | + | 0.191933i | \(0.0614756\pi\) | |||||||
\(480\) | 10.1686 | + | 11.7352i | 0.464130 | + | 0.535635i | ||||
\(481\) | 3.55800 | − | 1.04472i | 0.162231 | − | 0.0476352i | ||||
\(482\) | −14.2918 | −0.650973 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −26.5623 | −1.20738 | ||||||||
\(485\) | −21.0019 | + | 6.16672i | −0.953647 | + | 0.280016i | ||||
\(486\) | −7.23996 | − | 8.35536i | −0.328411 | − | 0.379007i | ||||
\(487\) | −12.3733 | + | 7.95186i | −0.560689 | + | 0.360333i | −0.790082 | − | 0.613001i | \(-0.789962\pi\) |
0.229393 | + | 0.973334i | \(0.426326\pi\) | |||||||
\(488\) | −2.20985 | − | 15.3698i | −0.100035 | − | 0.695759i | ||||
\(489\) | 10.8425 | + | 6.96807i | 0.490316 | + | 0.315107i | ||||
\(490\) | 1.10188 | − | 2.41278i | 0.0497778 | − | 0.108998i | ||||
\(491\) | −5.46647 | + | 6.30864i | −0.246698 | + | 0.284705i | −0.865571 | − | 0.500786i | \(-0.833044\pi\) |
0.618873 | + | 0.785491i | \(0.287590\pi\) | |||||||
\(492\) | 1.78780 | − | 12.4344i | 0.0806004 | − | 0.560588i | ||||
\(493\) | −0.952046 | − | 2.08469i | −0.0428780 | − | 0.0938898i | ||||
\(494\) | 3.55800 | + | 1.04472i | 0.160082 | + | 0.0470043i | ||||
\(495\) | 12.4199 | + | 3.64682i | 0.558235 | + | 0.163912i | ||||
\(496\) | 5.16680 | + | 11.3137i | 0.231996 | + | 0.508001i | ||||
\(497\) | −5.63520 | + | 39.1937i | −0.252773 | + | 1.75808i | ||||
\(498\) | −7.93132 | + | 9.15323i | −0.355411 | + | 0.410166i | ||||
\(499\) | 8.01410 | − | 17.5484i | 0.358760 | − | 0.785576i | −0.641076 | − | 0.767478i | \(-0.721512\pi\) |
0.999836 | − | 0.0180982i | \(-0.00576116\pi\) | |||||||
\(500\) | 14.2544 | + | 9.16077i | 0.637477 | + | 0.409682i | ||||
\(501\) | 0.486206 | + | 3.38163i | 0.0217221 | + | 0.151080i | ||||
\(502\) | 1.19156 | − | 0.765768i | 0.0531818 | − | 0.0341779i | ||||
\(503\) | 17.6447 | + | 20.3631i | 0.786740 | + | 0.907947i | 0.997577 | − | 0.0695746i | \(-0.0221642\pi\) |
−0.210836 | + | 0.977521i | \(0.567619\pi\) | |||||||
\(504\) | 13.8859 | − | 4.07727i | 0.618528 | − | 0.181616i | ||||
\(505\) | 5.52786 | 0.245987 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.94427 | 0.397229 | ||||||||
\(508\) | −11.3205 | + | 3.32399i | −0.502264 | + | 0.147478i | ||||
\(509\) | 18.5358 | + | 21.3915i | 0.821585 | + | 0.948160i | 0.999355 | − | 0.0359125i | \(-0.0114338\pi\) |
−0.177770 | + | 0.984072i | \(0.556888\pi\) | |||||||
\(510\) | −1.09780 | + | 0.705510i | −0.0486112 | + | 0.0312405i | ||||
\(511\) | −3.00635 | − | 20.9096i | −0.132993 | − | 0.924986i | ||||
\(512\) | 15.7383 | + | 10.1144i | 0.695543 | + | 0.446998i | ||||
\(513\) | −1.85779 | + | 4.06800i | −0.0820235 | + | 0.179606i | ||||
\(514\) | 3.02417 | − | 3.49008i | 0.133390 | − | 0.153941i | ||||
\(515\) | 0.735367 | − | 5.11459i | 0.0324041 | − | 0.225376i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.2339 | − | 3.29858i | −0.494068 | − | 0.145071i | ||||
\(518\) | 2.37200 | + | 0.696481i | 0.104220 | + | 0.0306016i | ||||
\(519\) | −21.3128 | − | 46.6686i | −0.935530 | − | 2.04853i | ||||
\(520\) | 1.18005 | − | 8.20740i | 0.0517484 | − | 0.359918i | ||||
\(521\) | −20.5734 | + | 23.7429i | −0.901336 | + | 1.04020i | 0.0976523 | + | 0.995221i | \(0.468867\pi\) |
−0.998988 | + | 0.0449764i | \(0.985679\pi\) | |||||||
\(522\) | −1.54044 | + | 3.37310i | −0.0674234 | + | 0.147637i | ||||
\(523\) | 34.5962 | + | 22.2336i | 1.51279 | + | 0.972209i | 0.993026 | + | 0.117898i | \(0.0376156\pi\) |
0.519762 | + | 0.854311i | \(0.326021\pi\) | |||||||
\(524\) | 4.30794 | + | 29.9624i | 0.188193 | + | 1.30891i | ||||
\(525\) | 21.1362 | − | 13.5834i | 0.922458 | − | 0.592828i | ||||
\(526\) | −1.19162 | − | 1.37521i | −0.0519573 | − | 0.0599619i | ||||
\(527\) | −4.91703 | + | 1.44377i | −0.214189 | + | 0.0628916i | ||||
\(528\) | 21.7082 | 0.944728 | ||||||||
\(529\) | 0 | 0 | ||||||||
\(530\) | 0.360680 | 0.0156669 | ||||||||
\(531\) | −12.4199 | + | 3.64682i | −0.538979 | + | 0.158259i | ||||
\(532\) | −6.85779 | − | 7.91431i | −0.297323 | − | 0.343129i | ||||
\(533\) | −8.76284 | + | 5.63154i | −0.379561 | + | 0.243929i | ||||
\(534\) | −2.05960 | − | 14.3248i | −0.0891276 | − | 0.619896i | ||||
\(535\) | 13.9510 | + | 8.96577i | 0.603155 | + | 0.387624i | ||||
\(536\) | 2.56741 | − | 5.62183i | 0.110895 | − | 0.242826i | ||||
\(537\) | 1.03703 | − | 1.19680i | 0.0447512 | − | 0.0516457i | ||||
\(538\) | 0.698742 | − | 4.85986i | 0.0301249 | − | 0.209523i | ||||
\(539\) | −7.55239 | − | 16.5374i | −0.325304 | − | 0.712317i | ||||
\(540\) | 4.29098 | + | 1.25995i | 0.184655 | + | 0.0542195i | ||||
\(541\) | 33.0223 | + | 9.69622i | 1.41974 | + | 0.416873i | 0.899415 | − | 0.437095i | \(-0.143993\pi\) |
0.520325 | + | 0.853969i | \(0.325811\pi\) | |||||||
\(542\) | 2.05392 | + | 4.49747i | 0.0882236 | + | 0.193183i | ||||
\(543\) | 5.29924 | − | 36.8571i | 0.227412 | − | 1.58169i | ||||
\(544\) | −2.81053 | + | 3.24352i | −0.120500 | + | 0.139065i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −11.2866 | − | 7.25346i | −0.483022 | − | 0.310419i | ||||
\(547\) | 4.20413 | + | 29.2403i | 0.179755 | + | 1.25023i | 0.857328 | + | 0.514771i | \(0.172123\pi\) |
−0.677573 | + | 0.735456i | \(0.736968\pi\) | |||||||
\(548\) | 29.7942 | − | 19.1476i | 1.27274 | − | 0.817943i | ||||
\(549\) | 9.09506 | + | 10.4963i | 0.388168 | + | 0.447970i | ||||
\(550\) | −10.7809 | + | 3.16557i | −0.459700 | + | 0.134980i | ||||
\(551\) | 6.00000 | 0.255609 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −35.4164 | −1.50606 | ||||||||
\(554\) | −9.17497 | + | 2.69401i | −0.389807 | + | 0.114458i | ||||
\(555\) | −2.23727 | − | 2.58195i | −0.0949669 | − | 0.109598i | ||||
\(556\) | 14.5758 | − | 9.36727i | 0.618150 | − | 0.397261i | ||||
\(557\) | 1.05546 | + | 7.34092i | 0.0447215 | + | 0.311045i | 0.999888 | + | 0.0149752i | \(0.00476693\pi\) |
−0.955166 | + | 0.296070i | \(0.904324\pi\) | |||||||
\(558\) | 6.97550 | + | 4.48288i | 0.295297 | + | 0.189776i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −4.85671 | + | 5.60495i | −0.205234 | + | 0.236852i | ||||
\(561\) | −1.27290 | + | 8.85323i | −0.0537420 | + | 0.373784i | ||||
\(562\) | −2.25006 | − | 4.92694i | −0.0949129 | − | 0.207830i | ||||
\(563\) | 31.6098 | + | 9.28147i | 1.33219 | + | 0.391167i | 0.868878 | − | 0.495026i | \(-0.164841\pi\) |
0.463316 | + | 0.886193i | \(0.346660\pi\) | |||||||
\(564\) | 7.76246 | + | 2.27926i | 0.326859 | + | 0.0959743i | ||||
\(565\) | 4.50011 | + | 9.85388i | 0.189321 | + | 0.414556i | ||||
\(566\) | −2.43709 | + | 16.9503i | −0.102438 | + | 0.712475i | ||||
\(567\) | 23.3109 | − | 26.9022i | 0.978966 | − | 1.12979i | ||||
\(568\) | −11.3660 | + | 24.8881i | −0.476908 | + | 1.04428i | ||||
\(569\) | −18.6593 | − | 11.9916i | −0.782238 | − | 0.502714i | 0.0875376 | − | 0.996161i | \(-0.472100\pi\) |
−0.869776 | + | 0.493447i | \(0.835737\pi\) | |||||||
\(570\) | −0.486206 | − | 3.38163i | −0.0203649 | − | 0.141641i | ||||
\(571\) | −12.0230 | + | 7.72673i | −0.503148 | + | 0.323354i | −0.767474 | − | 0.641080i | \(-0.778487\pi\) |
0.264326 | + | 0.964433i | \(0.414850\pi\) | |||||||
\(572\) | −16.6442 | − | 19.2084i | −0.695929 | − | 0.803145i | ||||
\(573\) | −56.1697 | + | 16.4929i | −2.34652 | + | 0.689001i | ||||
\(574\) | −6.94427 | −0.289848 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.472136 | −0.0196723 | ||||||||
\(577\) | −21.9614 | + | 6.44845i | −0.914265 | + | 0.268452i | −0.704835 | − | 0.709371i | \(-0.748979\pi\) |
−0.209430 | + | 0.977824i | \(0.567161\pi\) | |||||||
\(578\) | 6.64415 | + | 7.66776i | 0.276360 | + | 0.318937i | ||||
\(579\) | −18.7062 | + | 12.0217i | −0.777402 | + | 0.499606i | ||||
\(580\) | −0.853889 | − | 5.93893i | −0.0354558 | − | 0.246601i | ||||
\(581\) | −23.8585 | − | 15.3329i | −0.989818 | − | 0.636118i | ||||
\(582\) | −10.1661 | + | 22.2606i | −0.421398 | + | 0.922733i | ||||
\(583\) | 1.61890 | − | 1.86832i | 0.0670482 | − | 0.0773777i | ||||
\(584\) | 2.07733 | − | 14.4482i | 0.0859607 | − | 0.597870i | ||||
\(585\) | 3.08089 | + | 6.74620i | 0.127379 | + | 0.278921i | ||||
\(586\) | 0.906022 | + | 0.266032i | 0.0374274 | + | 0.0109897i | ||||
\(587\) | 23.7073 | + | 6.96111i | 0.978507 | + | 0.287316i | 0.731608 | − | 0.681726i | \(-0.238770\pi\) |
0.246899 | + | 0.969041i | \(0.420588\pi\) | |||||||
\(588\) | 5.21857 | + | 11.4271i | 0.215210 | + | 0.471245i | ||||
\(589\) | 1.90935 | − | 13.2798i | 0.0786736 | − | 0.547187i | ||||
\(590\) | −3.23781 | + | 3.73663i | −0.133299 | + | 0.153835i | ||||
\(591\) | 1.36746 | − | 2.99432i | 0.0562499 | − | 0.123170i | ||||
\(592\) | −1.92798 | − | 1.23904i | −0.0792396 | − | 0.0509242i | ||||
\(593\) | 0.419014 | + | 2.91430i | 0.0172068 | + | 0.119676i | 0.996614 | − | 0.0822165i | \(-0.0261999\pi\) |
−0.979408 | + | 0.201893i | \(0.935291\pi\) | |||||||
\(594\) | −6.08737 | + | 3.91211i | −0.249768 | + | 0.160516i | ||||
\(595\) | −2.00108 | − | 2.30937i | −0.0820361 | − | 0.0946747i | ||||
\(596\) | 37.0868 | − | 10.8897i | 1.51913 | − | 0.446058i | ||||
\(597\) | 27.4853 | 1.12490 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 33.8885 | 1.38465 | 0.692324 | − | 0.721587i | \(-0.256587\pi\) | ||||
0.692324 | + | 0.721587i | \(0.256587\pi\) | |||||||
\(600\) | 16.6575 | − | 4.89107i | 0.680038 | − | 0.199677i | ||||
\(601\) | −30.7055 | − | 35.4360i | −1.25250 | − | 1.44546i | −0.847193 | − | 0.531285i | \(-0.821710\pi\) |
−0.405309 | − | 0.914180i | \(-0.632836\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.786697 | + | 5.47160i | 0.0320368 | + | 0.222821i | ||||
\(604\) | −5.76604 | − | 3.70561i | −0.234617 | − | 0.150779i | ||||
\(605\) | 8.42952 | − | 18.4581i | 0.342709 | − | 0.750427i | ||||
\(606\) | 4.04726 | − | 4.67079i | 0.164409 | − | 0.189738i | ||||
\(607\) | −3.76738 | + | 26.2027i | −0.152913 | + | 1.06353i | 0.758391 | + | 0.651800i | \(0.225986\pi\) |
−0.911304 | + | 0.411734i | \(0.864923\pi\) | |||||||
\(608\) | −4.66763 | − | 10.2207i | −0.189297 | − | 0.414504i | ||||
\(609\) | −20.8289 | − | 6.11591i | −0.844028 | − | 0.247829i | ||||
\(610\) | 5.09006 | + | 1.49458i | 0.206091 | + | 0.0605137i | ||||
\(611\) | −2.78669 | − | 6.10200i | −0.112737 | − | 0.246860i | ||||
\(612\) | 0.351822 | − | 2.44697i | 0.0142215 | − | 0.0989130i | ||||
\(613\) | −3.73808 | + | 4.31397i | −0.150980 | + | 0.174240i | −0.826201 | − | 0.563375i | \(-0.809503\pi\) |
0.675222 | + | 0.737615i | \(0.264048\pi\) | |||||||
\(614\) | 2.44619 | − | 5.35641i | 0.0987202 | − | 0.216167i | ||||
\(615\) | 8.07330 | + | 5.18839i | 0.325547 | + | 0.209216i | ||||
\(616\) | −5.39210 | − | 37.5029i | −0.217254 | − | 1.51103i | ||||
\(617\) | −6.33284 | + | 4.06987i | −0.254951 | + | 0.163847i | −0.661873 | − | 0.749616i | \(-0.730238\pi\) |
0.406923 | + | 0.913463i | \(0.366602\pi\) | |||||||
\(618\) | −3.78319 | − | 4.36603i | −0.152182 | − | 0.175628i | ||||
\(619\) | −18.6299 | + | 5.47023i | −0.748799 | + | 0.219867i | −0.633799 | − | 0.773498i | \(-0.718505\pi\) |
−0.115001 | + | 0.993365i | \(0.536687\pi\) | |||||||
\(620\) | −13.4164 | −0.538816 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.14590 | 0.326621 | ||||||||
\(623\) | 32.5158 | − | 9.54751i | 1.30272 | − | 0.382513i | ||||
\(624\) | 8.14496 | + | 9.39978i | 0.326059 | + | 0.376292i | ||||
\(625\) | 3.71532 | − | 2.38769i | 0.148613 | − | 0.0955076i | ||||
\(626\) | −2.14265 | − | 14.9025i | −0.0856377 | − | 0.595623i | ||||
\(627\) | −19.6991 | − | 12.6599i | −0.786708 | − | 0.505586i | ||||
\(628\) | 7.67360 | − | 16.8028i | 0.306210 | − | 0.670507i | ||||
\(629\) | 0.618367 | − | 0.713633i | 0.0246559 | − | 0.0284544i | ||||
\(630\) | −0.703643 | + | 4.89395i | −0.0280338 | + | 0.194979i | ||||
\(631\) | 5.13481 | + | 11.2437i | 0.204414 | + | 0.447603i | 0.983877 | − | 0.178844i | \(-0.0572357\pi\) |
−0.779464 | + | 0.626447i | \(0.784508\pi\) | |||||||
\(632\) | −23.4808 | − | 6.89460i | −0.934018 | − | 0.274252i | ||||
\(633\) | −50.2397 | − | 14.7517i | −1.99685 | − | 0.586328i | ||||
\(634\) | 6.52542 | + | 14.2887i | 0.259158 | + | 0.567476i | ||||
\(635\) | 1.28271 | − | 8.92141i | 0.0509026 | − | 0.354036i | ||||
\(636\) | −1.11864 | + | 1.29097i | −0.0443568 | + | 0.0511905i | ||||
\(637\) | 4.32713 | − | 9.47510i | 0.171447 | − | 0.375417i | ||||
\(638\) | 8.16706 | + | 5.24865i | 0.323337 | + | 0.207796i | ||||
\(639\) | −3.48275 | − | 24.2230i | −0.137775 | − | 0.958249i | ||||
\(640\) | −11.8355 | + | 7.60621i | −0.467839 | + | 0.300662i | ||||
\(641\) | 11.3323 | + | 13.0782i | 0.447600 | + | 0.516558i | 0.934046 | − | 0.357153i | \(-0.116252\pi\) |
−0.486446 | + | 0.873711i | \(0.661707\pi\) | |||||||
\(642\) | 17.7900 | − | 5.22361i | 0.702114 | − | 0.206159i | ||||
\(643\) | −29.5967 | −1.16718 | −0.583591 | − | 0.812048i | \(-0.698353\pi\) | ||||
−0.583591 | + | 0.812048i | \(0.698353\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.906022 | − | 0.266032i | 0.0356470 | − | 0.0104669i | ||||
\(647\) | −4.39294 | − | 5.06972i | −0.172704 | − | 0.199311i | 0.662798 | − | 0.748798i | \(-0.269369\pi\) |
−0.835502 | + | 0.549487i | \(0.814823\pi\) | |||||||
\(648\) | 20.6921 | − | 13.2980i | 0.812862 | − | 0.522395i | ||||
\(649\) | 4.82284 | + | 33.5436i | 0.189313 | + | 1.31670i | ||||
\(650\) | −5.41573 | − | 3.48048i | −0.212423 | − | 0.136516i | ||||
\(651\) | −20.1647 | + | 44.1545i | −0.790316 | + | 1.73055i | ||||
\(652\) | −6.10739 | + | 7.04830i | −0.239184 | + | 0.276033i | ||||
\(653\) | 5.45136 | − | 37.9151i | 0.213328 | − | 1.48373i | −0.548608 | − | 0.836079i | \(-0.684842\pi\) |
0.761937 | − | 0.647652i | \(-0.224249\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.1879 | − | 6.51496i | −0.866953 | − | 0.254560i | ||||
\(656\) | 6.17692 | + | 1.81371i | 0.241168 | + | 0.0708134i | ||||
\(657\) | 5.42355 | + | 11.8759i | 0.211593 | + | 0.463323i | ||||
\(658\) | 0.636451 | − | 4.42662i | 0.0248115 | − | 0.172567i | ||||
\(659\) | 6.97589 | − | 8.05060i | 0.271742 | − | 0.313607i | −0.603433 | − | 0.797414i | \(-0.706201\pi\) |
0.875175 | + | 0.483807i | \(0.160746\pi\) | |||||||
\(660\) | −9.72753 | + | 21.3003i | −0.378643 | + | 0.829114i | ||||
\(661\) | −19.3019 | − | 12.4046i | −0.750759 | − | 0.482483i | 0.108454 | − | 0.994101i | \(-0.465410\pi\) |
−0.859213 | + | 0.511618i | \(0.829046\pi\) | |||||||
\(662\) | 1.72854 | + | 12.0223i | 0.0671817 | + | 0.467259i | ||||
\(663\) | −4.31110 | + | 2.77057i | −0.167429 | + | 0.107600i | ||||
\(664\) | −12.8331 | − | 14.8102i | −0.498022 | − | 0.574749i | ||||
\(665\) | 7.67594 | − | 2.25386i | 0.297660 | − | 0.0874010i | ||||
\(666\) | −1.52786 | −0.0592035 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −2.47214 | −0.0956498 | ||||||||
\(669\) | 8.58197 | − | 2.51989i | 0.331798 | − | 0.0974247i | ||||
\(670\) | 1.38271 | + | 1.59573i | 0.0534187 | + | 0.0616485i | ||||
\(671\) | 30.5886 | − | 19.6581i | 1.18086 | − | 0.758891i | ||||
\(672\) | 5.78545 | + | 40.2387i | 0.223179 | + | 1.55224i | ||||
\(673\) | 2.52376 | + | 1.62192i | 0.0972838 | + | 0.0625205i | 0.588378 | − | 0.808586i | \(-0.299767\pi\) |
−0.491094 | + | 0.871106i | \(0.663403\pi\) | |||||||
\(674\) | 6.01194 | − | 13.1643i | 0.231571 | − | 0.507071i | ||||
\(675\) | 5.08429 | − | 5.86759i | 0.195695 | − | 0.225844i | ||||
\(676\) | −0.921081 | + | 6.40626i | −0.0354262 | + | 0.246395i | ||||
\(677\) | 7.47747 | + | 16.3734i | 0.287383 | + | 0.629280i | 0.997174 | − | 0.0751323i | \(-0.0239379\pi\) |
−0.709791 | + | 0.704412i | \(0.751211\pi\) | |||||||
\(678\) | 11.6209 | + | 3.41219i | 0.446296 | + | 0.131044i | ||||
\(679\) | −54.9837 | − | 16.1447i | −2.11008 | − | 0.619576i | ||||
\(680\) | −0.877131 | − | 1.92065i | −0.0336364 | − | 0.0736535i | ||||
\(681\) | −3.87610 | + | 26.9588i | −0.148532 | + | 1.03307i | ||||
\(682\) | 14.2159 | − | 16.4060i | 0.544353 | − | 0.628217i | ||||
\(683\) | 11.0487 | − | 24.1933i | 0.422766 | − | 0.925729i | −0.571679 | − | 0.820477i | \(-0.693708\pi\) |
0.994446 | − | 0.105252i | \(-0.0335649\pi\) | |||||||
\(684\) | 5.44471 | + | 3.49910i | 0.208184 | + | 0.133791i | ||||
\(685\) | 3.85043 | + | 26.7803i | 0.147117 | + | 1.02322i | ||||
\(686\) | −5.93566 | + | 3.81461i | −0.226624 | + | 0.145643i | ||||
\(687\) | −17.5718 | − | 20.2789i | −0.670404 | − | 0.773688i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.41641 | 0.0539608 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.05573 | 0.268413 | 0.134206 | − | 0.990953i | \(-0.457152\pi\) | ||||
0.134206 | + | 0.990953i | \(0.457152\pi\) | |||||||
\(692\) | 35.6208 | − | 10.4592i | 1.35410 | − | 0.397600i | ||||
\(693\) | 22.1923 | + | 25.6113i | 0.843015 | + | 0.972891i | ||||
\(694\) | −5.14128 | + | 3.30410i | −0.195160 | + | 0.125422i | ||||
\(695\) | 1.88369 | + | 13.1013i | 0.0714524 | + | 0.496962i | ||||
\(696\) | −12.6188 | − | 8.10961i | −0.478314 | − | 0.307394i | ||||
\(697\) | −1.10188 | + | 2.41278i | −0.0417366 | + | 0.0913904i | ||||
\(698\) | −9.88196 | + | 11.4044i | −0.374038 | + | 0.431663i | ||||
\(699\) | −2.07733 | + | 14.4482i | −0.0785720 | + | 0.546480i | ||||
\(700\) | 7.55239 | + | 16.5374i | 0.285453 | + | 0.625056i | ||||
\(701\) | 3.66494 | + | 1.07612i | 0.138423 | + | 0.0406446i | 0.350210 | − | 0.936671i | \(-0.386110\pi\) |
−0.211787 | + | 0.977316i | \(0.567928\pi\) | |||||||
\(702\) | −3.97796 | − | 1.16803i | −0.150138 | − | 0.0440846i | ||||
\(703\) | 1.02696 | + | 2.24873i | 0.0387326 | + | 0.0848126i | ||||
\(704\) | −0.175911 | + | 1.22349i | −0.00662989 | + | 0.0461119i | ||||
\(705\) | −4.04726 | + | 4.67079i | −0.152429 | + | 0.175912i | ||||
\(706\) | 2.40327 | − | 5.26242i | 0.0904481 | − | 0.198054i | ||||
\(707\) | 12.1747 | + | 7.82423i | 0.457878 | + | 0.294260i | ||||
\(708\) | −3.33250 | − | 23.1781i | −0.125243 | − | 0.871085i | ||||
\(709\) | −35.3906 | + | 22.7442i | −1.32912 | + | 0.854175i | −0.996056 | − | 0.0887288i | \(-0.971720\pi\) |
−0.333066 | + | 0.942904i | \(0.608083\pi\) | |||||||
\(710\) | −6.12133 | − | 7.06439i | −0.229729 | − | 0.265122i | ||||
\(711\) | 21.0019 | − | 6.16672i | 0.787633 | − | 0.231270i | ||||
\(712\) | 23.4164 | 0.877567 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −3.41641 | −0.127856 | ||||||||
\(715\) | 18.6299 | − | 5.47023i | 0.696719 | − | 0.204575i | ||||
\(716\) | 0.750404 | + | 0.866012i | 0.0280439 | + | 0.0323644i | ||||
\(717\) | −25.8913 | + | 16.6393i | −0.966930 | + | 0.621408i | ||||
\(718\) | 1.74930 | + | 12.1667i | 0.0652835 | + | 0.454057i | ||||
\(719\) | −2.57064 | − | 1.65205i | −0.0958688 | − | 0.0616111i | 0.491828 | − | 0.870692i | \(-0.336329\pi\) |
−0.587697 | + | 0.809081i | \(0.699965\pi\) | |||||||
\(720\) | 1.90409 | − | 4.16938i | 0.0709614 | − | 0.155384i | ||||
\(721\) | 8.85887 | − | 10.2237i | 0.329921 | − | 0.380750i | ||||
\(722\) | 1.31933 | − | 9.17615i | 0.0491004 | − | 0.341501i | ||||
\(723\) | 21.4804 | + | 47.0354i | 0.798863 | + | 1.74927i | ||||
\(724\) | 25.8528 | + | 7.59108i | 0.960813 | + | 0.282120i | ||||
\(725\) | −9.99447 | − | 2.93464i | −0.371185 | − | 0.108990i | ||||
\(726\) | −9.42449 | − | 20.6367i | −0.349775 | − | 0.765901i | ||||
\(727\) | 3.94329 | − | 27.4262i | 0.146248 | − | 1.01718i | −0.776041 | − | 0.630682i | \(-0.782775\pi\) |
0.922290 | − | 0.386499i | \(-0.126316\pi\) | |||||||
\(728\) | 14.2159 | − | 16.4060i | 0.526874 | − | 0.608046i | ||||
\(729\) | −2.90791 | + | 6.36742i | −0.107700 | + | 0.235831i | ||||
\(730\) | 4.19520 | + | 2.69609i | 0.155271 | + | 0.0997868i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −21.1362 | + | 13.5834i | −0.781215 | + | 0.502057i | ||||
\(733\) | 20.4553 | + | 23.6066i | 0.755533 | + | 0.871931i | 0.995092 | − | 0.0989503i | \(-0.0315485\pi\) |
−0.239560 | + | 0.970882i | \(0.577003\pi\) | |||||||
\(734\) | 2.47894 | − | 0.727882i | 0.0914993 | − | 0.0268666i | ||||
\(735\) | −9.59675 | −0.353981 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 14.4721 | 0.533088 | ||||||||
\(738\) | 4.11795 | − | 1.20914i | 0.151584 | − | 0.0445090i | ||||
\(739\) | −17.5631 | − | 20.2689i | −0.646071 | − | 0.745605i | 0.334365 | − | 0.942444i | \(-0.391478\pi\) |
−0.980436 | + | 0.196838i | \(0.936933\pi\) | |||||||
\(740\) | 2.07969 | − | 1.33654i | 0.0764510 | − | 0.0491321i | ||||
\(741\) | −1.90935 | − | 13.2798i | −0.0701419 | − | 0.487847i | ||||
\(742\) | 0.794372 | + | 0.510512i | 0.0291623 | + | 0.0187415i | ||||
\(743\) | 17.0838 | − | 37.4083i | 0.626743 | − | 1.37238i | −0.283769 | − | 0.958893i | \(-0.591585\pi\) |
0.910512 | − | 0.413483i | \(-0.135688\pi\) | |||||||
\(744\) | −21.9647 | + | 25.3486i | −0.805265 | + | 0.929325i | ||||
\(745\) | −4.20225 | + | 29.2273i | −0.153959 | + | 1.07081i | ||||
\(746\) | 1.97901 | + | 4.33342i | 0.0724567 | + | 0.158658i | ||||
\(747\) | 16.8179 | + | 4.93817i | 0.615333 | + | 0.180678i | ||||
\(748\) | −6.20997 | − | 1.82341i | −0.227059 | − | 0.0666705i | ||||
\(749\) | 18.0358 | + | 39.4930i | 0.659015 | + | 1.44304i | ||||
\(750\) | −2.05960 | + | 14.3248i | −0.0752059 | + | 0.523069i | ||||
\(751\) | −0.236195 | + | 0.272584i | −0.00861888 | + | 0.00994672i | −0.760043 | − | 0.649873i | \(-0.774822\pi\) |
0.751424 | + | 0.659820i | \(0.229367\pi\) | |||||||
\(752\) | −1.72227 | + | 3.77124i | −0.0628047 | + | 0.137523i | ||||
\(753\) | −4.31110 | − | 2.77057i | −0.157105 | − | 0.100965i | ||||
\(754\) | 0.791599 | + | 5.50569i | 0.0288283 | + | 0.200505i | ||||
\(755\) | 4.40486 | − | 2.83083i | 0.160309 | − | 0.103025i | ||||
\(756\) | 7.66724 | + | 8.84847i | 0.278855 | + | 0.321816i | ||||
\(757\) | −1.53207 | + | 0.449856i | −0.0556840 | + | 0.0163503i | −0.309456 | − | 0.950914i | \(-0.600147\pi\) |
0.253772 | + | 0.967264i | \(0.418329\pi\) | |||||||
\(758\) | 15.0557 | 0.546849 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.52786 | 0.200517 | ||||||||
\(761\) | −44.4293 | + | 13.0456i | −1.61056 | + | 0.472903i | −0.958459 | − | 0.285229i | \(-0.907930\pi\) |
−0.652101 | + | 0.758132i | \(0.726112\pi\) | |||||||
\(762\) | −6.59904 | − | 7.61570i | −0.239058 | − | 0.275888i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −6.02855 | − | 41.9295i | −0.218105 | − | 1.51696i | ||||
\(765\) | 1.58874 | + | 1.02102i | 0.0574412 | + | 0.0369152i | ||||
\(766\) | 1.81149 | − | 3.96661i | 0.0654519 | − | 0.143320i | ||||
\(767\) | −12.7150 | + | 14.6739i | −0.459114 | + | 0.529845i | ||||
\(768\) | −2.08829 | + | 14.5244i | −0.0753548 | + | 0.524104i | ||||
\(769\) | −9.60631 | − | 21.0349i | −0.346412 | − | 0.758537i | −0.999999 | − | 0.00168529i | \(-0.999464\pi\) |
0.653586 | − | 0.756852i | \(-0.273264\pi\) | |||||||
\(770\) | 12.4199 | + | 3.64682i | 0.447583 | + | 0.131422i | ||||
\(771\) | −16.0314 | − | 4.70725i | −0.577357 | − | 0.169527i | ||||
\(772\) | −6.68410 | − | 14.6361i | −0.240566 | − | 0.526766i | ||||
\(773\) | 0.786697 | − | 5.47160i | 0.0282955 | − | 0.196800i | −0.970770 | − | 0.240010i | \(-0.922849\pi\) |
0.999066 | + | 0.0432100i | \(0.0137585\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.67576 | + | 21.1870i | −0.347564 | + | 0.761058i | ||||
\(776\) | −33.3109 | − | 21.4076i | −1.19579 | − | 0.768489i | ||||
\(777\) | −1.27290 | − | 8.85323i | −0.0456651 | − | 0.317608i | ||||
\(778\) | 13.2725 | − | 8.52974i | 0.475843 | − | 0.305806i | ||||
\(779\) | −4.54753 | − | 5.24813i | −0.162932 | − | 0.188034i | ||||
\(780\) | −12.8729 | + | 3.77984i | −0.460926 | + | 0.135340i | ||||
\(781\) | −64.0689 | −2.29256 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.70820 | −0.239732 | ||||||||
\(784\) | −6.17692 | + | 1.81371i | −0.220604 | + | 0.0647753i | ||||
\(785\) | 9.24104 | + | 10.6647i | 0.329827 | + | 0.380640i | ||||
\(786\) | −21.7499 | + | 13.9778i | −0.775792 | + | 0.498571i | ||||
\(787\) | −3.49861 | − | 24.3334i | −0.124712 | − | 0.867391i | −0.952106 | − | 0.305769i | \(-0.901087\pi\) |
0.827394 | − | 0.561622i | \(-0.189823\pi\) | |||||||
\(788\) | 2.00384 | + | 1.28779i | 0.0713837 | + | 0.0458755i | ||||
\(789\) | −2.73492 | + | 5.98865i | −0.0973658 | + | 0.213201i | ||||
\(790\) | 5.47508 | − | 6.31858i | 0.194795 | − | 0.224805i | ||||
\(791\) | −4.03615 | + | 28.0720i | −0.143509 | + | 0.998126i | ||||
\(792\) | 9.72753 | + | 21.3003i | 0.345653 | + | 0.756874i | ||||
\(793\) | 19.9889 | + | 5.86928i | 0.709828 | + | 0.208424i | ||||
\(794\) | 14.4789 | + | 4.25139i | 0.513837 | + | 0.150876i | ||||
\(795\) | −0.542097 | − | 1.18703i | −0.0192262 | − | 0.0420995i | ||||
\(796\) | −2.83043 | + | 19.6861i | −0.100322 | + | 0.697756i | ||||
\(797\) | 22.5015 | − | 25.9681i | 0.797043 | − | 0.919836i | −0.201173 | − | 0.979556i | \(-0.564475\pi\) |
0.998215 | + | 0.0597196i | \(0.0190207\pi\) | |||||||
\(798\) | 3.71558 | − | 8.13600i | 0.131530 | − | 0.288011i | ||||
\(799\) | −1.43703 | − | 0.923525i | −0.0508386 | − | 0.0326720i | ||||
\(800\) | 2.77608 | + | 19.3080i | 0.0981491 | + | 0.682642i | ||||
\(801\) | −17.6194 | + | 11.3233i | −0.622552 | + | 0.400090i | ||||
\(802\) | 5.73915 | + | 6.62334i | 0.202657 | + | 0.233878i | ||||
\(803\) | 32.7958 | − | 9.62971i | 1.15734 | − | 0.339825i | ||||
\(804\) | −10.0000 | −0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 12.4377 | 0.438099 | ||||||||
\(807\) | −17.0444 | + | 5.00468i | −0.599990 | + | 0.176173i | ||||
\(808\) | 6.54861 | + | 7.55750i | 0.230379 | + | 0.265872i | ||||
\(809\) | 10.1888 | − | 6.54795i | 0.358219 | − | 0.230214i | −0.349135 | − | 0.937072i | \(-0.613525\pi\) |
0.707355 | + | 0.706859i | \(0.249888\pi\) | |||||||
\(810\) | 1.19591 | + | 8.31772i | 0.0420199 | + | 0.292255i | ||||
\(811\) | −20.4824 | − | 13.1633i | −0.719236 | − | 0.462225i | 0.129135 | − | 0.991627i | \(-0.458780\pi\) |
−0.848371 | + | 0.529402i | \(0.822416\pi\) | |||||||
\(812\) | 6.52542 | − | 14.2887i | 0.228997 | − | 0.501435i | ||||
\(813\) | 11.7145 | − | 13.5193i | 0.410846 | − | 0.474141i | ||||
\(814\) | −0.569259 | + | 3.95929i | −0.0199525 | + | 0.138773i | ||||
\(815\) | −2.95967 | − | 6.48077i | −0.103673 | − | 0.227012i | ||||
\(816\) | 3.03889 | + | 0.892299i | 0.106382 | + | 0.0312367i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 5.48415 | + | 12.0086i | 0.191749 | + | 0.419872i | ||||
\(819\) | −2.76324 | + | 19.2188i | −0.0965555 | + | 0.671558i | ||||
\(820\) | −4.54753 | + | 5.24813i | −0.158807 | + | 0.183273i | ||||
\(821\) | −16.1780 | + | 35.4250i | −0.564617 | + | 1.23634i | 0.384997 | + | 0.922918i | \(0.374203\pi\) |
−0.949614 | + | 0.313422i | \(0.898525\pi\) | |||||||
\(822\) | 25.4473 | + | 16.3540i | 0.887575 | + | 0.570410i | ||||
\(823\) | 5.62727 | + | 39.1385i | 0.196154 | + | 1.36428i | 0.815314 | + | 0.579019i | \(0.196564\pi\) |
−0.619160 | + | 0.785265i | \(0.712527\pi\) | |||||||
\(824\) | 7.86364 | − | 5.05365i | 0.273943 | − | 0.176052i | ||||
\(825\) | 26.6217 | + | 30.7231i | 0.926849 | + | 1.06964i | ||||
\(826\) | −12.4199 | + | 3.64682i | −0.432145 | + | 0.126889i | ||||
\(827\) | 1.52786 | 0.0531290 | 0.0265645 | − | 0.999647i | \(-0.491543\pi\) | ||||
0.0265645 | + | 0.999647i | \(0.491543\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 40.2492 | 1.39791 | 0.698957 | − | 0.715164i | \(-0.253648\pi\) | ||||
0.698957 | + | 0.715164i | \(0.253648\pi\) | |||||||
\(830\) | 6.42385 | − | 1.88621i | 0.222975 | − | 0.0654714i | ||||
\(831\) | 22.6561 | + | 26.1465i | 0.785930 | + | 0.907011i | ||||
\(832\) | −0.595779 | + | 0.382884i | −0.0206549 | + | 0.0132741i | ||||
\(833\) | −0.377487 | − | 2.62548i | −0.0130791 | − | 0.0909674i | ||||
\(834\) | 12.4492 | + | 8.00060i | 0.431080 | + | 0.277038i | ||||
\(835\) | 0.784529 | − | 1.71788i | 0.0271498 | − | 0.0594497i | ||||
\(836\) | 11.0961 | − | 12.8056i | 0.383768 | − | 0.442892i | ||||
\(837\) | −2.13472 | + | 14.8473i | −0.0737868 | + | 0.513199i | ||||
\(838\) | −1.17679 | − | 2.57682i | −0.0406517 | − | 0.0890148i | ||||
\(839\) | 39.4588 | + | 11.5861i | 1.36227 | + | 0.399998i | 0.879562 | − | 0.475784i | \(-0.157836\pi\) |
0.482706 | + | 0.875782i | \(0.339654\pi\) | |||||||
\(840\) | −19.1899 | − | 5.63465i | −0.662113 | − | 0.194414i | ||||
\(841\) | −8.30830 | − | 18.1926i | −0.286493 | − | 0.627332i | ||||
\(842\) | 0.905219 | − | 6.29594i | 0.0311959 | − | 0.216972i | ||||
\(843\) | −12.8331 | + | 14.8102i | −0.441997 | + | 0.510092i | ||||
\(844\) | 15.7395 | − | 34.4646i | 0.541775 | − | 1.18632i | ||||
\(845\) | −4.15939 | − | 2.67308i | −0.143087 | − | 0.0919566i | ||||
\(846\) | 0.393349 | + | 2.73580i | 0.0135236 | + | 0.0940587i | ||||
\(847\) | 44.6913 | − | 28.7213i | 1.53561 | − | 0.986877i | ||||
\(848\) | −0.573257 | − | 0.661574i | −0.0196857 | − | 0.0227186i | ||||
\(849\) | 59.4477 | − | 17.4554i | 2.04024 | − | 0.599069i | ||||
\(850\) | −1.63932 | −0.0562282 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 44.2705 | 1.51668 | ||||||||
\(853\) | 10.1549 | − | 2.98174i | 0.347697 | − | 0.102093i | −0.103221 | − | 0.994658i | \(-0.532915\pi\) |
0.450918 | + | 0.892566i | \(0.351097\pi\) | |||||||
\(854\) | 9.09506 | + | 10.4963i | 0.311227 | + | 0.359175i | ||||
\(855\) | −4.15939 | + | 2.67308i | −0.142248 | + | 0.0914172i | ||||
\(856\) | 4.26945 | + | 29.6946i | 0.145927 | + | 1.01494i | ||||
\(857\) | 1.23844 | + | 0.795897i | 0.0423043 | + | 0.0271873i | 0.561622 | − | 0.827394i | \(-0.310178\pi\) |
−0.519318 | + | 0.854581i | \(0.673814\pi\) | |||||||
\(858\) | 9.01791 | − | 19.7465i | 0.307867 | − | 0.674134i | ||||
\(859\) | 10.9415 | − | 12.6272i | 0.373321 | − | 0.430835i | −0.537738 | − | 0.843112i | \(-0.680721\pi\) |
0.911059 | + | 0.412277i | \(0.135266\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 10.4371 | + | 22.8542i | 0.355697 | + | 0.778867i | ||||
\(862\) | 10.3940 | + | 3.05196i | 0.354021 | + | 0.103950i | ||||
\(863\) | 20.6685 | + | 6.06881i | 0.703562 | + | 0.206585i | 0.613896 | − | 0.789387i | \(-0.289602\pi\) |
0.0896669 | + | 0.995972i | \(0.471420\pi\) | |||||||
\(864\) | 5.21857 | + | 11.4271i | 0.177539 | + | 0.388757i | ||||
\(865\) | −4.03615 | + | 28.0720i | −0.137233 | + | 0.954477i | ||||
\(866\) | −7.21208 | + | 8.32319i | −0.245077 | + | 0.282833i | ||||
\(867\) | 15.2491 | − | 33.3910i | 0.517888 | − | 1.13402i | ||||
\(868\) | −29.5487 | − | 18.9898i | −1.00295 | − | 0.644556i | ||||
\(869\) | −8.15534 | − | 56.7217i | −0.276651 | − | 1.92415i | ||||
\(870\) | 4.31110 | − | 2.77057i | 0.146160 | − | 0.0939313i | ||||
\(871\) | 5.42997 | + | 6.26652i | 0.183988 | + | 0.212333i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 35.4164 | 1.19866 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −33.8885 | −1.14564 | ||||||||
\(876\) | −22.6613 | + | 6.65397i | −0.765656 | + | 0.224817i | ||||
\(877\) | 23.8842 | + | 27.5638i | 0.806511 | + | 0.930763i | 0.998719 | − | 0.0505907i | \(-0.0161104\pi\) |
−0.192208 | + | 0.981354i | \(0.561565\pi\) | |||||||
\(878\) | −9.72683 | + | 6.25105i | −0.328265 | + | 0.210963i | ||||
\(879\) | −0.486206 | − | 3.38163i | −0.0163993 | − | 0.114060i | ||||
\(880\) | −10.0950 | − | 6.48769i | −0.340304 | − | 0.218700i | ||||
\(881\) | 18.3532 | − | 40.1879i | 0.618334 | − | 1.35396i | −0.298391 | − | 0.954444i | \(-0.596450\pi\) |
0.916725 | − | 0.399519i | \(-0.130823\pi\) | |||||||
\(882\) | −2.81053 | + | 3.24352i | −0.0946354 | + | 0.109215i | ||||
\(883\) | −0.569259 | + | 3.95929i | −0.0191571 | + | 0.133241i | −0.997155 | − | 0.0753718i | \(-0.975986\pi\) |
0.977998 | + | 0.208612i | \(0.0668947\pi\) | |||||||
\(884\) | −1.54044 | − | 3.37310i | −0.0518107 | − | 0.113450i | ||||
\(885\) | 17.1639 | + | 5.03979i | 0.576959 | + | 0.169411i | ||||
\(886\) | −22.6079 | − | 6.63827i | −0.759526 | − | 0.223017i | ||||
\(887\) | 9.58316 | + | 20.9842i | 0.321771 | + | 0.704580i | 0.999528 | − | 0.0307053i | \(-0.00977532\pi\) |
−0.677757 | + | 0.735286i | \(0.737048\pi\) | |||||||
\(888\) | 0.879554 | − | 6.11743i | 0.0295159 | − | 0.205288i | ||||
\(889\) | 15.4526 | − | 17.8332i | 0.518263 | − | 0.598107i | ||||
\(890\) | −3.32332 | + | 7.27706i | −0.111398 | + | 0.243927i | ||||
\(891\) | 48.4535 | + | 31.1392i | 1.62325 | + | 1.04320i | ||||
\(892\) | 0.921081 | + | 6.40626i | 0.0308401 | + | 0.214497i | ||||
\(893\) | 3.76220 | − | 2.41782i | 0.125897 | − | 0.0809092i | ||||
\(894\) | 21.6190 | + | 24.9497i | 0.723048 | + | 0.834442i | ||||
\(895\) | −0.839929 | + | 0.246625i | −0.0280757 | + | 0.00824378i | ||||
\(896\) | −36.8328 | −1.23050 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.23607 | −0.308212 | ||||||||
\(899\) | 19.3094 | − | 5.66976i | 0.644005 | − | 0.189097i | ||||
\(900\) | −7.35806 | − | 8.49165i | −0.245269 | − | 0.283055i | ||||
\(901\) | 0.303423 | − | 0.194998i | 0.0101085 | − | 0.00649633i | ||||
\(902\) | −1.59906 | − | 11.1217i | −0.0532428 | − | 0.370312i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.14078 | + | 17.8258i | −0.270758 | + | 0.592878i | ||||
\(905\) | −13.4794 | + | 15.5560i | −0.448070 | + | 0.517100i | ||||
\(906\) | 0.833126 | − | 5.79452i | 0.0276787 | − | 0.192510i | ||||
\(907\) | −16.7201 | − | 36.6120i | −0.555183 | − | 1.21568i | −0.954319 | − | 0.298789i | \(-0.903417\pi\) |
0.399136 | − | 0.916892i | \(-0.369310\pi\) | |||||||
\(908\) | −18.9099 | − | 5.55244i | −0.627547 | − | 0.184264i | ||||
\(909\) | −8.58197 | − | 2.51989i | −0.284646 | − | 0.0835796i | ||||
\(910\) | 3.08089 | + | 6.74620i | 0.102130 | + | 0.223634i | ||||
\(911\) | −4.45516 | + | 30.9863i | −0.147606 | + | 1.02662i | 0.772517 | + | 0.634994i | \(0.218997\pi\) |
−0.920123 | + | 0.391629i | \(0.871912\pi\) | |||||||
\(912\) | −5.42997 | + | 6.26652i | −0.179804 | + | 0.207505i | ||||
\(913\) | 19.0628 | − | 41.7417i | 0.630886 | − | 1.38145i | ||||
\(914\) | −2.66440 | − | 1.71231i | −0.0881307 | − | 0.0566382i | ||||
\(915\) | −2.73152 | − | 18.9981i | −0.0903012 | − | 0.628059i | ||||
\(916\) | 16.3341 | − | 10.4973i | 0.539695 | − | 0.346841i | ||||
\(917\) | −39.6459 | − | 45.7538i | −1.30922 | − | 1.51093i | ||||
\(918\) | −1.01296 | + | 0.297433i | −0.0334328 | + | 0.00981675i | ||||
\(919\) | 41.1246 | 1.35658 | 0.678288 | − | 0.734796i | \(-0.262722\pi\) | ||||
0.678288 | + | 0.734796i | \(0.262722\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.3050 | −0.702022 | ||||||||
\(922\) | 0.872976 | − | 0.256329i | 0.0287499 | − | 0.00844174i | ||||
\(923\) | −24.0388 | − | 27.7422i | −0.791245 | − | 0.913146i | ||||
\(924\) | −51.5730 | + | 33.1440i | −1.69663 | + | 1.09036i | ||||
\(925\) | −0.610786 | − | 4.24811i | −0.0200825 | − | 0.139677i | ||||
\(926\) | −10.3985 | − | 6.68269i | −0.341715 | − | 0.219607i | ||||
\(927\) | −3.47315 | + | 7.60514i | −0.114073 | + | 0.249786i | ||||
\(928\) | 11.0371 | − | 12.7375i | 0.362310 | − | 0.418128i | ||||
\(929\) | 3.42349 | − | 23.8109i | 0.112321 | − | 0.781209i | −0.853331 | − | 0.521370i | \(-0.825421\pi\) |
0.965652 | − | 0.259840i | \(-0.0836697\pi\) | |||||||
\(930\) | −4.76023 | − | 10.4235i | −0.156094 | − | 0.341799i | ||||
\(931\) | 6.66298 | + | 1.95643i | 0.218370 | + | 0.0641193i | ||||
\(932\) | −10.1345 | − | 2.97575i | −0.331965 | − | 0.0974738i | ||||
\(933\) | −12.2432 | − | 26.8088i | −0.400823 | − | 0.877681i | ||||
\(934\) | 1.14832 | − | 7.98675i | 0.0375742 | − | 0.261335i | ||||
\(935\) | 3.23781 | − | 3.73663i | 0.105888 | − | 0.122201i | ||||
\(936\) | −5.57338 | + | 12.2040i | −0.182172 | + | 0.398900i | ||||
\(937\) | 28.7543 | + | 18.4793i | 0.939363 | + | 0.603692i | 0.918214 | − | 0.396084i | \(-0.129631\pi\) |
0.0211489 | + | 0.999776i | \(0.493268\pi\) | |||||||
\(938\) | 0.786697 | + | 5.47160i | 0.0256866 | + | 0.178654i | ||||
\(939\) | −45.8249 | + | 29.4499i | −1.49544 | + | 0.961060i | ||||
\(940\) | −2.92863 | − | 3.37981i | −0.0955213 | − | 0.110237i | ||||
\(941\) | −6.38300 | + | 1.87422i | −0.208080 | + | 0.0610978i | −0.384111 | − | 0.923287i | \(-0.625492\pi\) |
0.176031 | + | 0.984385i | \(0.443674\pi\) | |||||||
\(942\) | 15.7771 | 0.514045 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | −8.58197 | + | 2.51989i | −0.279171 | + | 0.0819721i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.10208 | + | 5.84955i | −0.295778 | + | 0.190085i | −0.680110 | − | 0.733110i | \(-0.738068\pi\) |
0.384332 | + | 0.923195i | \(0.374432\pi\) | |||||||
\(948\) | 5.63520 | + | 39.1937i | 0.183023 | + | 1.27295i | ||||
\(949\) | 16.4748 | + | 10.5877i | 0.534794 | + | 0.343691i | ||||
\(950\) | 1.78288 | − | 3.90396i | 0.0578442 | − | 0.126661i | ||||
\(951\) | 37.2176 | − | 42.9514i | 1.20686 | − | 1.39279i | ||||
\(952\) | 0.786697 | − | 5.47160i | 0.0254970 | − | 0.177336i | ||||
\(953\) | 8.50443 | + | 18.6221i | 0.275486 | + | 0.603229i | 0.995915 | − | 0.0902993i | \(-0.0287824\pi\) |
−0.720429 | + | 0.693529i | \(0.756055\pi\) | |||||||
\(954\) | −0.559953 | − | 0.164417i | −0.0181291 | − | 0.00532319i | ||||
\(955\) | 31.0498 | + | 9.11706i | 1.00475 | + | 0.295021i | ||||
\(956\) | −9.25150 | − | 20.2580i | −0.299215 | − | 0.655190i | ||||
\(957\) | 4.99875 | − | 34.7671i | 0.161587 | − | 1.12386i | ||||
\(958\) | −12.7880 | + | 14.7582i | −0.413163 | + | 0.476815i | ||||
\(959\) | −29.4250 | + | 64.4318i | −0.950183 | + | 2.08061i | ||||
\(960\) | 0.548898 | + | 0.352755i | 0.0177156 | + | 0.0113851i | ||||
\(961\) | −1.99241 | − | 13.8575i | −0.0642712 | − | 0.447016i | ||||
\(962\) | −1.92798 | + | 1.23904i | −0.0621606 | + | 0.0399482i | ||||
\(963\) | −17.5718 | − | 20.2789i | −0.566242 | − | 0.653478i | ||||
\(964\) | −35.9008 | + | 10.5414i | −1.15629 | + | 0.339516i | ||||
\(965\) | 12.2918 | 0.395687 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.5410 | 0.885659 | 0.442830 | − | 0.896606i | \(-0.353975\pi\) | ||||
0.442830 | + | 0.896606i | \(0.353975\pi\) | |||||||
\(968\) | 35.2213 | − | 10.3419i | 1.13205 | − | 0.332401i | ||||
\(969\) | −2.23727 | − | 2.58195i | −0.0718715 | − | 0.0829441i | ||||
\(970\) | 11.3804 | − | 7.31372i | 0.365401 | − | 0.234829i | ||||
\(971\) | −2.34423 | − | 16.3045i | −0.0752299 | − | 0.523235i | −0.992237 | − | 0.124364i | \(-0.960311\pi\) |
0.917007 | − | 0.398872i | \(-0.130598\pi\) | |||||||
\(972\) | −24.3495 | − | 15.6485i | −0.781010 | − | 0.501924i | ||||
\(973\) | −14.3952 | + | 31.5210i | −0.461488 | + | 1.01052i | ||||
\(974\) | 5.95280 | − | 6.86989i | 0.190740 | − | 0.220126i | ||||
\(975\) | −3.31477 | + | 23.0547i | −0.106158 | + | 0.738342i | ||||
\(976\) | −5.34863 | − | 11.7119i | −0.171205 | − | 0.374888i | ||||
\(977\) | 22.4018 | + | 6.57776i | 0.716697 | + | 0.210441i | 0.619695 | − | 0.784843i | \(-0.287256\pi\) |
0.0970020 | + | 0.995284i | \(0.469075\pi\) | |||||||
\(978\) | −7.64290 | − | 2.24416i | −0.244393 | − | 0.0717602i | ||||
\(979\) | 22.7784 | + | 49.8777i | 0.728000 | + | 1.59410i | ||||
\(980\) | 0.988273 | − | 6.87359i | 0.0315692 | − | 0.219569i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.14315 | − | 4.69284i | 0.0683906 | − | 0.149755i | ||||
\(983\) | −34.0473 | − | 21.8809i | −1.08594 | − | 0.697892i | −0.130019 | − | 0.991512i | \(-0.541504\pi\) |
−0.955922 | + | 0.293620i | \(0.905140\pi\) | |||||||
\(984\) | 2.47068 | + | 17.1840i | 0.0787625 | + | 0.547805i | ||||
\(985\) | −1.53080 | + | 0.983783i | −0.0487752 | + | 0.0313459i | ||||
\(986\) | 0.927550 | + | 1.07045i | 0.0295392 | + | 0.0340901i | ||||
\(987\) | −15.5249 | + | 4.55853i | −0.494164 | + | 0.145100i | ||||
\(988\) | 9.70820 | 0.308859 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −8.00000 | −0.254257 | ||||||||
\(991\) | −23.0278 | + | 6.76158i | −0.731503 | + | 0.214789i | −0.626212 | − | 0.779653i | \(-0.715396\pi\) |
−0.105291 | + | 0.994441i | \(0.533577\pi\) | |||||||
\(992\) | −24.6797 | − | 28.4819i | −0.783581 | − | 0.904300i | ||||
\(993\) | 36.9683 | − | 23.7581i | 1.17315 | − | 0.753939i | ||||
\(994\) | −3.48275 | − | 24.2230i | −0.110466 | − | 0.768308i | ||||
\(995\) | −12.7816 | − | 8.21422i | −0.405203 | − | 0.260408i | ||||
\(996\) | −13.1721 | + | 28.8428i | −0.417373 | + | 0.913919i | ||||
\(997\) | −11.0232 | + | 12.7214i | −0.349107 | + | 0.402891i | −0.902961 | − | 0.429723i | \(-0.858611\pi\) |
0.553854 | + | 0.832614i | \(0.313157\pi\) | |||||||
\(998\) | −1.69682 | + | 11.8016i | −0.0537118 | + | 0.373574i | ||||
\(999\) | −1.14818 | − | 2.51416i | −0.0363268 | − | 0.0795445i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))