Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 649.1 | ||
Root | \(-1.13697i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.u.82.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.135052 | + | 0.765917i | −0.0954961 | + | 0.541585i | 0.899098 | + | 0.437747i | \(0.144223\pi\) |
−0.994594 | + | 0.103838i | \(0.966888\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.31100 | + | 0.477163i | 0.655498 | + | 0.238582i | ||||
\(5\) | −1.82039 | + | 1.52749i | −0.814102 | + | 0.683113i | −0.951583 | − | 0.307392i | \(-0.900544\pi\) |
0.137481 | + | 0.990504i | \(0.456099\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.35052 | − | 0.855521i | 0.888415 | − | 0.323357i | 0.142814 | − | 0.989750i | \(-0.454385\pi\) |
0.745601 | + | 0.666393i | \(0.232163\pi\) | |||||||
\(8\) | −1.32025 | + | 2.28674i | −0.466780 | + | 0.808486i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.924081 | − | 1.60056i | −0.292220 | − | 0.506140i | ||||
\(11\) | −2.40643 | − | 2.01923i | −0.725566 | − | 0.608822i | 0.203353 | − | 0.979105i | \(-0.434816\pi\) |
−0.928919 | + | 0.370284i | \(0.879261\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.232103 | + | 1.31632i | 0.0643739 | + | 0.365082i | 0.999929 | + | 0.0119022i | \(0.00378867\pi\) |
−0.935555 | + | 0.353180i | \(0.885100\pi\) | |||||||
\(14\) | 0.337815 | + | 1.91585i | 0.0902850 | + | 0.512031i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.564314 | + | 0.473515i | 0.141078 | + | 0.118379i | ||||
\(17\) | 3.13726 | + | 5.43389i | 0.760897 | + | 1.31791i | 0.942389 | + | 0.334520i | \(0.108574\pi\) |
−0.181492 | + | 0.983392i | \(0.558093\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.03234 | + | 6.98422i | −0.925083 | + | 1.60229i | −0.133656 | + | 0.991028i | \(0.542672\pi\) |
−0.791427 | + | 0.611263i | \(0.790662\pi\) | |||||||
\(20\) | −3.11538 | + | 1.13391i | −0.696620 | + | 0.253549i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.87156 | − | 1.57042i | 0.399018 | − | 0.334815i | ||||
\(23\) | 3.81008 | + | 1.38675i | 0.794456 | + | 0.289158i | 0.707187 | − | 0.707027i | \(-0.249964\pi\) |
0.0872688 | + | 0.996185i | \(0.472186\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.112355 | − | 0.637198i | 0.0224711 | − | 0.127440i | ||||
\(26\) | −1.03954 | −0.203871 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.48975 | 0.659501 | ||||||||
\(29\) | 1.61271 | − | 9.14613i | 0.299473 | − | 1.69839i | −0.348972 | − | 0.937133i | \(-0.613469\pi\) |
0.648445 | − | 0.761261i | \(-0.275420\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.66104 | − | 0.968540i | −0.477937 | − | 0.173955i | 0.0918074 | − | 0.995777i | \(-0.470736\pi\) |
−0.569744 | + | 0.821822i | \(0.692958\pi\) | |||||||
\(32\) | −4.48437 | + | 3.76284i | −0.792733 | + | 0.665182i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.58560 | + | 1.66902i | −0.786424 | + | 0.286235i | ||||
\(35\) | −2.97207 | + | 5.14778i | −0.502372 | + | 0.870133i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.76596 | − | 4.79078i | −0.454720 | − | 0.787599i | 0.543952 | − | 0.839117i | \(-0.316927\pi\) |
−0.998672 | + | 0.0515178i | \(0.983594\pi\) | |||||||
\(38\) | −4.80476 | − | 4.03167i | −0.779435 | − | 0.654024i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.08960 | − | 6.17943i | −0.172281 | − | 0.977053i | ||||
\(41\) | 1.23390 | + | 6.99781i | 0.192703 | + | 1.09287i | 0.915652 | + | 0.401972i | \(0.131675\pi\) |
−0.722949 | + | 0.690902i | \(0.757214\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.79017 | + | 1.50213i | 0.272998 | + | 0.229073i | 0.769000 | − | 0.639249i | \(-0.220755\pi\) |
−0.496002 | + | 0.868322i | \(0.665199\pi\) | |||||||
\(44\) | −2.19131 | − | 3.79547i | −0.330353 | − | 0.572188i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.57670 | + | 2.73092i | −0.232471 | + | 0.402652i | ||||
\(47\) | −4.33594 | + | 1.57815i | −0.632461 | + | 0.230197i | −0.638302 | − | 0.769786i | \(-0.720363\pi\) |
0.00584102 | + | 0.999983i | \(0.498141\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.569260 | + | 0.477666i | −0.0813229 | + | 0.0682380i | ||||
\(50\) | 0.472867 | + | 0.172110i | 0.0668735 | + | 0.0243400i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.323815 | + | 1.83645i | −0.0449050 | + | 0.254669i | ||||
\(53\) | −0.135496 | −0.0186118 | −0.00930588 | − | 0.999957i | \(-0.502962\pi\) | ||||
−0.00930588 | + | 0.999957i | \(0.502962\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.46499 | 1.00658 | ||||||||
\(56\) | −1.14693 | + | 6.50455i | −0.153265 | + | 0.869207i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.78738 | + | 2.47040i | 0.891226 | + | 0.324380i | ||||
\(59\) | 3.06321 | − | 2.57034i | 0.398796 | − | 0.334630i | −0.421232 | − | 0.906953i | \(-0.638402\pi\) |
0.820028 | + | 0.572323i | \(0.193958\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.321185 | + | 0.116902i | −0.0411235 | + | 0.0149677i | −0.362500 | − | 0.931984i | \(-0.618077\pi\) |
0.321376 | + | 0.946952i | \(0.395855\pi\) | |||||||
\(62\) | 1.10120 | − | 1.90733i | 0.139852 | − | 0.242232i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.53974 | − | 2.66690i | −0.192467 | − | 0.333363i | ||||
\(65\) | −2.43319 | − | 2.04168i | −0.301799 | − | 0.253240i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.75783 | + | 9.96913i | 0.214753 | + | 1.21792i | 0.881335 | + | 0.472492i | \(0.156645\pi\) |
−0.666582 | + | 0.745431i | \(0.732244\pi\) | |||||||
\(68\) | 1.52008 | + | 8.62079i | 0.184337 | + | 1.04542i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.54139 | − | 2.97158i | −0.423276 | − | 0.355171i | ||||
\(71\) | 4.09540 | + | 7.09344i | 0.486035 | + | 0.841837i | 0.999871 | − | 0.0160515i | \(-0.00510955\pi\) |
−0.513837 | + | 0.857888i | \(0.671776\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.15722 | − | 10.6646i | 0.720648 | − | 1.24820i | −0.240092 | − | 0.970750i | \(-0.577178\pi\) |
0.960740 | − | 0.277449i | \(-0.0894890\pi\) | |||||||
\(74\) | 4.04288 | − | 1.47149i | 0.469976 | − | 0.171057i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −8.61900 | + | 7.23220i | −0.988667 | + | 0.829590i | ||||
\(77\) | −7.38387 | − | 2.68751i | −0.841470 | − | 0.306270i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.708606 | − | 4.01870i | 0.0797244 | − | 0.452139i | −0.918646 | − | 0.395081i | \(-0.870717\pi\) |
0.998371 | − | 0.0570587i | \(-0.0181722\pi\) | |||||||
\(80\) | −1.75056 | −0.195718 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.52638 | −0.610287 | ||||||||
\(83\) | −0.158580 | + | 0.899354i | −0.0174065 | + | 0.0987169i | −0.992273 | − | 0.124071i | \(-0.960405\pi\) |
0.974867 | + | 0.222788i | \(0.0715159\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −14.0112 | − | 5.09967i | −1.51973 | − | 0.553137i | ||||
\(86\) | −1.39227 | + | 1.16826i | −0.150133 | + | 0.125976i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.79456 | − | 2.83699i | 0.830903 | − | 0.302424i | ||||
\(89\) | −1.86437 | + | 3.22919i | −0.197623 | + | 0.342293i | −0.947757 | − | 0.318992i | \(-0.896656\pi\) |
0.750134 | + | 0.661286i | \(0.229989\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.67171 | + | 2.89548i | 0.175243 | + | 0.303529i | ||||
\(92\) | 4.33328 | + | 3.63606i | 0.451776 | + | 0.379085i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.623157 | − | 3.53410i | −0.0642737 | − | 0.364514i | ||||
\(95\) | −3.32788 | − | 18.8734i | −0.341433 | − | 1.93636i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.59343 | − | 3.85434i | −0.466392 | − | 0.391349i | 0.379084 | − | 0.925362i | \(-0.376239\pi\) |
−0.845476 | + | 0.534013i | \(0.820683\pi\) | |||||||
\(98\) | −0.288973 | − | 0.500515i | −0.0291907 | − | 0.0505597i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.451345 | − | 0.781752i | 0.0451345 | − | 0.0781752i | ||||
\(101\) | 9.60527 | − | 3.49603i | 0.955760 | − | 0.347868i | 0.183389 | − | 0.983040i | \(-0.441293\pi\) |
0.772371 | + | 0.635172i | \(0.219071\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.53747 | − | 5.48559i | 0.644156 | − | 0.540511i | −0.261135 | − | 0.965302i | \(-0.584097\pi\) |
0.905291 | + | 0.424791i | \(0.139652\pi\) | |||||||
\(104\) | −3.31653 | − | 1.20712i | −0.325213 | − | 0.118368i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0182989 | − | 0.103778i | 0.00177735 | − | 0.0100799i | ||||
\(107\) | 7.74500 | 0.748738 | 0.374369 | − | 0.927280i | \(-0.377859\pi\) | ||||
0.374369 | + | 0.927280i | \(0.377859\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.25438 | 0.120148 | 0.0600738 | − | 0.998194i | \(-0.480866\pi\) | ||||
0.0600738 | + | 0.998194i | \(0.480866\pi\) | |||||||
\(110\) | −1.00816 | + | 5.71756i | −0.0961243 | + | 0.545148i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.73154 | + | 0.630227i | 0.163615 | + | 0.0595509i | ||||
\(113\) | 13.6055 | − | 11.4164i | 1.27990 | − | 1.07396i | 0.286644 | − | 0.958037i | \(-0.407460\pi\) |
0.993258 | − | 0.115928i | \(-0.0369840\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.05407 | + | 3.29541i | −0.844296 | + | 0.307299i | ||||
\(116\) | 6.47846 | − | 11.2210i | 0.601509 | − | 1.04185i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.55497 | + | 2.69329i | 0.143147 | + | 0.247938i | ||||
\(119\) | 12.0230 | + | 10.0885i | 1.10215 | + | 0.924812i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.196534 | − | 1.11460i | −0.0178667 | − | 0.101327i | ||||
\(122\) | −0.0461605 | − | 0.261789i | −0.00417917 | − | 0.0237013i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.02646 | − | 2.53950i | −0.271784 | − | 0.228054i | ||||
\(125\) | −5.17209 | − | 8.95832i | −0.462606 | − | 0.801256i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.98279 | − | 3.43429i | 0.175944 | − | 0.304744i | −0.764543 | − | 0.644572i | \(-0.777036\pi\) |
0.940488 | + | 0.339828i | \(0.110369\pi\) | |||||||
\(128\) | −8.75122 | + | 3.18518i | −0.773506 | + | 0.281533i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.89237 | − | 1.58788i | 0.165972 | − | 0.139267i | ||||
\(131\) | −0.0963170 | − | 0.0350565i | −0.00841525 | − | 0.00306290i | 0.337809 | − | 0.941215i | \(-0.390314\pi\) |
−0.346224 | + | 0.938152i | \(0.612536\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.50297 | + | 19.8663i | −0.303746 | + | 1.72263i | ||||
\(134\) | −7.87292 | −0.680117 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.5679 | −1.42068 | ||||||||
\(137\) | 1.32312 | − | 7.50379i | 0.113042 | − | 0.641092i | −0.874659 | − | 0.484738i | \(-0.838915\pi\) |
0.987701 | − | 0.156354i | \(-0.0499740\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.81108 | + | 3.57094i | 0.832165 | + | 0.302883i | 0.722747 | − | 0.691113i | \(-0.242879\pi\) |
0.109418 | + | 0.993996i | \(0.465101\pi\) | |||||||
\(140\) | −6.35270 | + | 5.33055i | −0.536901 | + | 0.450514i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.98608 | + | 2.17875i | −0.502341 | + | 0.182837i | ||||
\(143\) | 2.09943 | − | 3.63631i | 0.175563 | − | 0.304084i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.0348 | + | 19.1129i | 0.916394 | + | 1.58724i | ||||
\(146\) | 7.33667 | + | 6.15619i | 0.607187 | + | 0.509490i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.34017 | − | 7.60050i | −0.110162 | − | 0.624757i | ||||
\(149\) | −1.56849 | − | 8.89535i | −0.128496 | − | 0.728736i | −0.979170 | − | 0.203042i | \(-0.934917\pi\) |
0.850674 | − | 0.525693i | \(-0.176194\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.3011 | + | 15.3564i | 1.48932 | + | 1.24969i | 0.895475 | + | 0.445112i | \(0.146836\pi\) |
0.593848 | + | 0.804578i | \(0.297608\pi\) | |||||||
\(152\) | −10.6474 | − | 18.4419i | −0.863620 | − | 1.49583i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.05561 | − | 5.29248i | 0.246228 | − | 0.426480i | ||||
\(155\) | 6.32356 | − | 2.30159i | 0.507920 | − | 0.184868i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.07750 | − | 1.74323i | 0.165803 | − | 0.139125i | −0.556111 | − | 0.831108i | \(-0.687707\pi\) |
0.721914 | + | 0.691983i | \(0.243263\pi\) | |||||||
\(158\) | 2.98229 | + | 1.08547i | 0.237258 | + | 0.0863550i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.41562 | − | 13.6996i | 0.190971 | − | 1.08305i | ||||
\(161\) | 10.1421 | 0.799308 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −22.0489 | −1.72701 | −0.863504 | − | 0.504343i | \(-0.831735\pi\) | ||||
−0.863504 | + | 0.504343i | \(0.831735\pi\) | |||||||
\(164\) | −1.72146 | + | 9.76287i | −0.134423 | + | 0.762352i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.667414 | − | 0.242919i | −0.0518014 | − | 0.0188542i | ||||
\(167\) | 6.85671 | − | 5.75347i | 0.530589 | − | 0.445217i | −0.337716 | − | 0.941248i | \(-0.609654\pi\) |
0.868305 | + | 0.496031i | \(0.165210\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.5372 | − | 3.83522i | 0.810551 | − | 0.295017i | ||||
\(170\) | 5.79816 | − | 10.0427i | 0.444699 | − | 0.770241i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.63014 | + | 2.82349i | 0.124297 | + | 0.215289i | ||||
\(173\) | 2.01795 | + | 1.69326i | 0.153422 | + | 0.128736i | 0.716268 | − | 0.697826i | \(-0.245849\pi\) |
−0.562846 | + | 0.826562i | \(0.690293\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.281043 | − | 1.59387i | −0.0212448 | − | 0.120485i | ||||
\(176\) | −0.401843 | − | 2.27896i | −0.0302900 | − | 0.171783i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.22150 | − | 1.86406i | −0.166509 | − | 0.139717i | ||||
\(179\) | −1.84227 | − | 3.19090i | −0.137697 | − | 0.238499i | 0.788927 | − | 0.614487i | \(-0.210637\pi\) |
−0.926625 | + | 0.375988i | \(0.877303\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.134255 | − | 0.232536i | 0.00997906 | − | 0.0172842i | −0.860993 | − | 0.508617i | \(-0.830157\pi\) |
0.870972 | + | 0.491333i | \(0.163490\pi\) | |||||||
\(182\) | −2.44347 | + | 0.889349i | −0.181122 | + | 0.0659229i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.20141 | + | 6.88180i | −0.604616 | + | 0.507333i | ||||
\(185\) | 12.3530 | + | 4.49611i | 0.908208 | + | 0.330561i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.42271 | − | 19.4111i | 0.250293 | − | 1.41948i | ||||
\(188\) | −6.43743 | −0.469498 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 14.9049 | 1.08131 | ||||||||
\(191\) | −0.416406 | + | 2.36155i | −0.0301301 | + | 0.170876i | −0.996160 | − | 0.0875554i | \(-0.972095\pi\) |
0.966030 | + | 0.258432i | \(0.0832056\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.466278 | − | 0.169711i | −0.0335634 | − | 0.0122161i | 0.325184 | − | 0.945651i | \(-0.394574\pi\) |
−0.358747 | + | 0.933435i | \(0.616796\pi\) | |||||||
\(194\) | 3.57246 | − | 2.99765i | 0.256488 | − | 0.215219i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.974222 | + | 0.354588i | −0.0695873 | + | 0.0253277i | ||||
\(197\) | 11.0734 | − | 19.1797i | 0.788946 | − | 1.36649i | −0.137667 | − | 0.990479i | \(-0.543960\pi\) |
0.926613 | − | 0.376016i | \(-0.122706\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.06624 | − | 1.84677i | −0.0755834 | − | 0.130914i | 0.825756 | − | 0.564027i | \(-0.190749\pi\) |
−0.901340 | + | 0.433113i | \(0.857415\pi\) | |||||||
\(200\) | 1.30877 | + | 1.09819i | 0.0925442 | + | 0.0776538i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.38046 | + | 7.82898i | 0.0971289 | + | 0.550845i | ||||
\(203\) | −4.03399 | − | 22.8779i | −0.283131 | − | 1.60572i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.9352 | − | 10.8540i | −0.903437 | − | 0.758073i | ||||
\(206\) | 3.31861 | + | 5.74800i | 0.231218 | + | 0.400482i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.492320 | + | 0.852724i | −0.0341363 | + | 0.0591257i | ||||
\(209\) | 23.8063 | − | 8.66480i | 1.64672 | − | 0.599357i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.3275 | − | 12.8613i | 1.05519 | − | 0.885406i | 0.0615569 | − | 0.998104i | \(-0.480393\pi\) |
0.993629 | + | 0.112697i | \(0.0359490\pi\) | |||||||
\(212\) | −0.177634 | − | 0.0646536i | −0.0122000 | − | 0.00444043i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.04598 | + | 5.93203i | −0.0715015 | + | 0.405505i | ||||
\(215\) | −5.55329 | −0.378731 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.08345 | −0.480856 | ||||||||
\(218\) | −0.169406 | + | 0.960749i | −0.0114736 | + | 0.0650701i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 9.78657 | + | 3.56202i | 0.659810 | + | 0.240151i | ||||
\(221\) | −6.42459 | + | 5.39087i | −0.432165 | + | 0.362629i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.4777 | − | 4.54150i | 0.835567 | − | 0.304122i | 0.111425 | − | 0.993773i | \(-0.464458\pi\) |
0.724142 | + | 0.689651i | \(0.242236\pi\) | |||||||
\(224\) | −7.32144 | + | 12.6811i | −0.489185 | + | 0.847292i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.90656 | + | 11.9625i | 0.459418 | + | 0.795735i | ||||
\(227\) | −9.55329 | − | 8.01616i | −0.634074 | − | 0.532051i | 0.268118 | − | 0.963386i | \(-0.413598\pi\) |
−0.902192 | + | 0.431335i | \(0.858043\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.45608 | + | 25.2717i | 0.294466 | + | 1.67000i | 0.669364 | + | 0.742935i | \(0.266567\pi\) |
−0.374898 | + | 0.927066i | \(0.622322\pi\) | |||||||
\(230\) | −1.30124 | − | 7.37971i | −0.0858014 | − | 0.486604i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.7857 | + | 15.7631i | 1.23334 | + | 1.03490i | ||||
\(233\) | 2.69821 | + | 4.67344i | 0.176766 | + | 0.306167i | 0.940771 | − | 0.339043i | \(-0.110103\pi\) |
−0.764005 | + | 0.645210i | \(0.776770\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.48248 | − | 9.49593i | 0.357637 | − | 0.619446i | ||||
\(236\) | 5.24233 | − | 1.90805i | 0.341247 | − | 0.124204i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.35069 | + | 7.84616i | −0.606115 | + | 0.508591i | ||||
\(239\) | −7.86621 | − | 2.86307i | −0.508823 | − | 0.185196i | 0.0748353 | − | 0.997196i | \(-0.476157\pi\) |
−0.583658 | + | 0.812000i | \(0.698379\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.0767854 | + | 0.435472i | −0.00494618 | + | 0.0280512i | −0.987181 | − | 0.159605i | \(-0.948978\pi\) |
0.982235 | + | 0.187656i | \(0.0600891\pi\) | |||||||
\(242\) | 0.880231 | 0.0565834 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.476854 | −0.0305274 | ||||||||
\(245\) | 0.306646 | − | 1.73907i | 0.0195909 | − | 0.111105i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.1294 | − | 3.68681i | −0.644520 | − | 0.234586i | ||||
\(248\) | 5.72805 | − | 4.80640i | 0.363731 | − | 0.305207i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.55983 | − | 2.75155i | 0.478125 | − | 0.174023i | ||||
\(251\) | −8.51427 | + | 14.7471i | −0.537416 | + | 0.930832i | 0.461626 | + | 0.887074i | \(0.347266\pi\) |
−0.999042 | + | 0.0437571i | \(0.986067\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.36850 | − | 11.0306i | −0.400384 | − | 0.693486i | ||||
\(254\) | 2.36260 | + | 1.98246i | 0.148243 | + | 0.124391i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.32721 | − | 13.1983i | −0.145451 | − | 0.824891i | ||||
\(257\) | 3.62520 | + | 20.5596i | 0.226134 | + | 1.28247i | 0.860505 | + | 0.509441i | \(0.170148\pi\) |
−0.634371 | + | 0.773028i | \(0.718741\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.6001 | − | 8.89450i | −0.658656 | − | 0.552678i | ||||
\(260\) | −2.21568 | − | 3.83767i | −0.137411 | − | 0.238002i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0398582 | − | 0.0690364i | 0.00246245 | − | 0.00426508i | ||||
\(263\) | −18.2221 | + | 6.63230i | −1.12362 | + | 0.408965i | −0.835973 | − | 0.548770i | \(-0.815096\pi\) |
−0.287650 | + | 0.957736i | \(0.592874\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.246655 | − | 0.206968i | 0.0151519 | − | 0.0127139i | ||||
\(266\) | −14.7429 | − | 5.36597i | −0.903945 | − | 0.329009i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.45240 | + | 13.9083i | −0.149804 | + | 0.849582i | ||||
\(269\) | 18.6791 | 1.13889 | 0.569443 | − | 0.822031i | \(-0.307159\pi\) | ||||
0.569443 | + | 0.822031i | \(0.307159\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.9378 | 0.785917 | 0.392958 | − | 0.919556i | \(-0.371452\pi\) | ||||
0.392958 | + | 0.919556i | \(0.371452\pi\) | |||||||
\(272\) | −0.802633 | + | 4.55196i | −0.0486668 | + | 0.276003i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.56859 | + | 2.02680i | 0.336411 | + | 0.122444i | ||||
\(275\) | −1.55703 | + | 1.30650i | −0.0938923 | + | 0.0787850i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.81164 | + | 3.57114i | −0.589524 | + | 0.214569i | −0.619520 | − | 0.784981i | \(-0.712673\pi\) |
0.0299959 | + | 0.999550i | \(0.490451\pi\) | |||||||
\(278\) | −4.06005 | + | 7.03221i | −0.243505 | + | 0.421764i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.84776 | − | 13.5927i | −0.468994 | − | 0.812321i | ||||
\(281\) | 10.9895 | + | 9.22130i | 0.655580 | + | 0.550097i | 0.908758 | − | 0.417323i | \(-0.137032\pi\) |
−0.253179 | + | 0.967420i | \(0.581476\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.24594 | − | 18.4086i | −0.192951 | − | 1.09428i | −0.915307 | − | 0.402758i | \(-0.868052\pi\) |
0.722356 | − | 0.691522i | \(-0.243059\pi\) | |||||||
\(284\) | 1.98432 | + | 11.2536i | 0.117748 | + | 0.667781i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.50158 | + | 2.09908i | 0.147922 | + | 0.124121i | ||||
\(287\) | 8.88709 | + | 15.3929i | 0.524588 | + | 0.908614i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.1848 | + | 19.3726i | −0.657929 | + | 1.13957i | ||||
\(290\) | −16.1292 | + | 5.87054i | −0.947138 | + | 0.344730i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 13.1609 | − | 11.0433i | 0.770181 | − | 0.646258i | ||||
\(293\) | 10.1376 | + | 3.68978i | 0.592243 | + | 0.215559i | 0.620716 | − | 0.784036i | \(-0.286842\pi\) |
−0.0284724 | + | 0.999595i | \(0.509064\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.65007 | + | 9.35803i | −0.0960710 | + | 0.544846i | ||||
\(296\) | 14.6070 | 0.849017 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.02493 | 0.406943 | ||||||||
\(299\) | −0.941086 | + | 5.33716i | −0.0544244 | + | 0.308656i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.49295 | + | 1.99927i | 0.316608 | + | 0.115236i | ||||
\(302\) | −14.2334 | + | 11.9432i | −0.819038 | + | 0.687254i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.58264 | + | 2.03192i | −0.320187 | + | 0.116538i | ||||
\(305\) | 0.406116 | − | 0.703413i | 0.0232541 | − | 0.0402773i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.0248747 | − | 0.0430843i | −0.00141967 | − | 0.00245895i | 0.865315 | − | 0.501229i | \(-0.167119\pi\) |
−0.866734 | + | 0.498770i | \(0.833785\pi\) | |||||||
\(308\) | −8.39784 | − | 7.04662i | −0.478511 | − | 0.401519i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.908816 | + | 5.15415i | 0.0516173 | + | 0.292736i | ||||
\(311\) | 2.29831 | + | 13.0344i | 0.130325 | + | 0.739112i | 0.978001 | + | 0.208598i | \(0.0668900\pi\) |
−0.847676 | + | 0.530514i | \(0.821999\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.5542 | − | 9.69511i | −0.653081 | − | 0.548000i | 0.254923 | − | 0.966961i | \(-0.417950\pi\) |
−0.908004 | + | 0.418961i | \(0.862394\pi\) | |||||||
\(314\) | 1.05460 | + | 1.82662i | 0.0595145 | + | 0.103082i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.84656 | − | 4.93038i | 0.160131 | − | 0.277356i | ||||
\(317\) | −8.11032 | + | 2.95192i | −0.455521 | + | 0.165796i | −0.559582 | − | 0.828775i | \(-0.689038\pi\) |
0.104061 | + | 0.994571i | \(0.466816\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −22.3491 | + | 18.7531i | −1.25131 | + | 1.04997i | ||||
\(320\) | 6.87658 | + | 2.50287i | 0.384412 | + | 0.139915i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.36971 | + | 7.76799i | −0.0763307 | + | 0.432893i | ||||
\(323\) | −50.6020 | −2.81557 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.864837 | 0.0479725 | ||||||||
\(326\) | 2.97775 | − | 16.8877i | 0.164922 | − | 0.935321i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.6313 | − | 6.41725i | −0.973523 | − | 0.354334i | ||||
\(329\) | −8.84158 | + | 7.41897i | −0.487452 | + | 0.409021i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −29.1544 | + | 10.6113i | −1.60247 | + | 0.583252i | −0.979931 | − | 0.199336i | \(-0.936121\pi\) |
−0.622540 | + | 0.782588i | \(0.713899\pi\) | |||||||
\(332\) | −0.637037 | + | 1.10338i | −0.0349619 | + | 0.0605559i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.48067 | + | 6.02869i | 0.190454 | + | 0.329875i | ||||
\(335\) | −18.4276 | − | 15.4626i | −1.00681 | − | 0.844813i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.14452 | − | 23.5047i | −0.225766 | − | 1.28038i | −0.861215 | − | 0.508241i | \(-0.830296\pi\) |
0.635449 | − | 0.772143i | \(-0.280815\pi\) | |||||||
\(338\) | 1.51439 | + | 8.58855i | 0.0823721 | + | 0.467155i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −15.9353 | − | 13.3713i | −0.864212 | − | 0.725160i | ||||
\(341\) | 4.44790 | + | 7.70399i | 0.240867 | + | 0.417194i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.68422 | + | 16.7736i | −0.522899 | + | 0.905688i | ||||
\(344\) | −5.79847 | + | 2.11047i | −0.312632 | + | 0.113789i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.56943 | + | 1.31691i | −0.0843729 | + | 0.0707973i | ||||
\(347\) | −20.5898 | − | 7.49409i | −1.10532 | − | 0.402304i | −0.276045 | − | 0.961145i | \(-0.589024\pi\) |
−0.829275 | + | 0.558841i | \(0.811246\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.75178 | − | 15.6061i | 0.147299 | − | 0.835376i | −0.818193 | − | 0.574944i | \(-0.805024\pi\) |
0.965492 | − | 0.260432i | \(-0.0838651\pi\) | |||||||
\(350\) | 1.25873 | 0.0672819 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.3894 | 0.980157 | ||||||||
\(353\) | 2.24126 | − | 12.7108i | 0.119290 | − | 0.676528i | −0.865246 | − | 0.501347i | \(-0.832838\pi\) |
0.984536 | − | 0.175181i | \(-0.0560509\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.2904 | − | 6.65715i | −0.970751 | − | 0.353325i | ||||
\(356\) | −3.98503 | + | 3.34384i | −0.211206 | + | 0.177223i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.69276 | − | 0.980086i | 0.142317 | − | 0.0517991i | ||||
\(359\) | −12.9142 | + | 22.3681i | −0.681588 | + | 1.18054i | 0.292909 | + | 0.956140i | \(0.405377\pi\) |
−0.974496 | + | 0.224404i | \(0.927956\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −23.0196 | − | 39.8711i | −1.21156 | − | 2.09848i | ||||
\(362\) | 0.159972 | + | 0.134232i | 0.00840793 | + | 0.00705509i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.809983 | + | 4.59364i | 0.0424546 | + | 0.240772i | ||||
\(365\) | 5.08153 | + | 28.8188i | 0.265980 | + | 1.50845i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.2372 | + | 10.2683i | 0.638778 | + | 0.535999i | 0.903643 | − | 0.428287i | \(-0.140883\pi\) |
−0.264864 | + | 0.964286i | \(0.585327\pi\) | |||||||
\(368\) | 1.49343 | + | 2.58669i | 0.0778503 | + | 0.134841i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.11194 | + | 8.85413i | −0.265757 | + | 0.460304i | ||||
\(371\) | −0.318486 | + | 0.115919i | −0.0165350 | + | 0.00601824i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.39923 | − | 1.17409i | 0.0724494 | − | 0.0607923i | −0.605844 | − | 0.795584i | \(-0.707164\pi\) |
0.678293 | + | 0.734791i | \(0.262720\pi\) | |||||||
\(374\) | 14.4051 | + | 5.24302i | 0.744869 | + | 0.271110i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.11570 | − | 11.9987i | 0.109109 | − | 0.618787i | ||||
\(377\) | 12.4136 | 0.639332 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.14694 | 0.0589141 | 0.0294571 | − | 0.999566i | \(-0.490622\pi\) | ||||
0.0294571 | + | 0.999566i | \(0.490622\pi\) | |||||||
\(380\) | 4.64283 | − | 26.3308i | 0.238172 | − | 1.35074i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.75252 | − | 0.637865i | −0.0896666 | − | 0.0326360i | ||||
\(383\) | 16.7209 | − | 14.0305i | 0.854397 | − | 0.716924i | −0.106357 | − | 0.994328i | \(-0.533919\pi\) |
0.960753 | + | 0.277404i | \(0.0894741\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 17.5466 | − | 6.38646i | 0.894260 | − | 0.325484i | ||||
\(386\) | 0.192957 | − | 0.334210i | 0.00982123 | − | 0.0170109i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.18281 | − | 7.24484i | −0.212350 | − | 0.367801i | ||||
\(389\) | −20.0674 | − | 16.8386i | −1.01746 | − | 0.853750i | −0.0281533 | − | 0.999604i | \(-0.508963\pi\) |
−0.989306 | + | 0.145854i | \(0.953407\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.41772 | + | 25.0541i | 0.223414 | + | 1.26704i | ||||
\(392\) | −0.340733 | − | 1.93239i | −0.0172096 | − | 0.0976005i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.1945 | + | 11.0715i | 0.664732 | + | 0.557776i | ||||
\(395\) | 4.84858 | + | 8.39798i | 0.243958 | + | 0.422548i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.09915 | + | 3.63584i | −0.105353 | + | 0.182478i | −0.913883 | − | 0.405979i | \(-0.866931\pi\) |
0.808529 | + | 0.588456i | \(0.200264\pi\) | |||||||
\(398\) | 1.55847 | − | 0.567237i | 0.0781191 | − | 0.0284330i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.365127 | − | 0.306378i | 0.0182563 | − | 0.0153189i | ||||
\(401\) | 7.35761 | + | 2.67795i | 0.367422 | + | 0.133731i | 0.519131 | − | 0.854695i | \(-0.326256\pi\) |
−0.151709 | + | 0.988425i | \(0.548478\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.657275 | − | 3.72759i | 0.0327412 | − | 0.185685i | ||||
\(404\) | 14.2606 | 0.709493 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.0674 | 0.896669 | ||||||||
\(407\) | −3.01762 | + | 17.1138i | −0.149578 | + | 0.848298i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.3779 | + | 5.96107i | 0.809835 | + | 0.294756i | 0.713556 | − | 0.700599i | \(-0.247084\pi\) |
0.0962793 | + | 0.995354i | \(0.469306\pi\) | |||||||
\(410\) | 10.0602 | − | 8.44147i | 0.496836 | − | 0.416895i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 11.1881 | − | 4.07214i | 0.551199 | − | 0.200620i | ||||
\(413\) | 5.00118 | − | 8.66229i | 0.246092 | − | 0.426243i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.08507 | − | 1.87940i | −0.0532642 | − | 0.0922563i | ||||
\(416\) | −5.99395 | − | 5.02952i | −0.293877 | − | 0.246592i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.42143 | + | 19.4039i | 0.167347 | + | 0.949074i | ||||
\(419\) | 1.99403 | + | 11.3087i | 0.0974148 | + | 0.552467i | 0.993981 | + | 0.109556i | \(0.0349430\pi\) |
−0.896566 | + | 0.442911i | \(0.853946\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.58540 | + | 4.68671i | 0.272216 | + | 0.228416i | 0.768668 | − | 0.639648i | \(-0.220920\pi\) |
−0.496452 | + | 0.868064i | \(0.665364\pi\) | |||||||
\(422\) | 7.78066 | + | 13.4765i | 0.378757 | + | 0.656026i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.178889 | − | 0.309844i | 0.00868759 | − | 0.0150474i | ||||
\(425\) | 3.81495 | − | 1.38853i | 0.185052 | − | 0.0673536i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.654942 | + | 0.549561i | −0.0316949 | + | 0.0265951i | ||||
\(428\) | 10.1537 | + | 3.69563i | 0.490796 | + | 0.178635i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.749982 | − | 4.25336i | 0.0361673 | − | 0.205115i | ||||
\(431\) | 0.389084 | 0.0187415 | 0.00937075 | − | 0.999956i | \(-0.497017\pi\) | ||||
0.00937075 | + | 0.999956i | \(0.497017\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.1011 | 1.15822 | 0.579112 | − | 0.815248i | \(-0.303400\pi\) | ||||
0.579112 | + | 0.815248i | \(0.303400\pi\) | |||||||
\(434\) | 0.956633 | − | 5.42533i | 0.0459198 | − | 0.260424i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.64448 | + | 0.598543i | 0.0787564 | + | 0.0286650i | ||||
\(437\) | −25.0489 | + | 21.0186i | −1.19825 | + | 1.00545i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −34.4544 | + | 12.5404i | −1.64442 | + | 0.598519i | −0.987803 | − | 0.155707i | \(-0.950235\pi\) |
−0.656615 | + | 0.754226i | \(0.728012\pi\) | |||||||
\(440\) | −9.85567 | + | 17.0705i | −0.469851 | + | 0.813805i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.26131 | − | 5.64875i | −0.155125 | − | 0.268684i | ||||
\(443\) | −28.9463 | − | 24.2888i | −1.37528 | − | 1.15400i | −0.970923 | − | 0.239394i | \(-0.923051\pi\) |
−0.404356 | − | 0.914602i | \(-0.632504\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.53866 | − | 8.72618i | −0.0729395 | − | 0.413661i | ||||
\(446\) | 1.79328 | + | 10.1702i | 0.0849143 | + | 0.481573i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.90078 | − | 4.95134i | −0.278786 | − | 0.233929i | ||||
\(449\) | −5.89289 | − | 10.2068i | −0.278103 | − | 0.481688i | 0.692811 | − | 0.721120i | \(-0.256372\pi\) |
−0.970913 | + | 0.239432i | \(0.923039\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.1609 | − | 19.3313i | 0.525547 | − | 0.910274i | ||||
\(452\) | 23.2843 | − | 8.47479i | 1.09520 | − | 0.398621i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.42990 | − | 6.23443i | 0.348703 | − | 0.292596i | ||||
\(455\) | −7.46597 | − | 2.71739i | −0.350010 | − | 0.127393i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.44794 | + | 19.5542i | −0.161288 | + | 0.914709i | 0.791522 | + | 0.611141i | \(0.209289\pi\) |
−0.952810 | + | 0.303568i | \(0.901822\pi\) | |||||||
\(458\) | −19.9578 | −0.932568 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.4423 | −0.626750 | ||||||||
\(461\) | −1.32699 | + | 7.52573i | −0.0618041 | + | 0.350508i | 0.938186 | + | 0.346131i | \(0.112505\pi\) |
−0.999990 | + | 0.00437770i | \(0.998607\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.9922 | + | 5.45673i | 0.696749 | + | 0.253596i | 0.666022 | − | 0.745932i | \(-0.267996\pi\) |
0.0307267 | + | 0.999528i | \(0.490218\pi\) | |||||||
\(464\) | 5.24091 | − | 4.39764i | 0.243303 | − | 0.204155i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.94387 | + | 1.43545i | −0.182696 | + | 0.0664959i | ||||
\(467\) | −13.0703 | + | 22.6385i | −0.604822 | + | 1.04758i | 0.387257 | + | 0.921972i | \(0.373423\pi\) |
−0.992080 | + | 0.125611i | \(0.959911\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.6606 | + | 21.9288i | 0.584613 | + | 1.01258i | ||||
\(470\) | 6.53268 | + | 5.48157i | 0.301330 | + | 0.252846i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.83350 | + | 10.3983i | 0.0843935 | + | 0.478619i | ||||
\(473\) | −1.27476 | − | 7.22955i | −0.0586137 | − | 0.332415i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.99728 | + | 3.35412i | 0.183408 | + | 0.153897i | ||||
\(476\) | 10.9483 | + | 18.9629i | 0.501812 | + | 0.869164i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.25522 | − | 5.63820i | 0.148890 | − | 0.257885i | ||||
\(479\) | −36.9772 | + | 13.4586i | −1.68953 | + | 0.614939i | −0.994566 | − | 0.104106i | \(-0.966802\pi\) |
−0.694964 | + | 0.719045i | \(0.744580\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.66422 | − | 4.75285i | 0.258266 | − | 0.216711i | ||||
\(482\) | −0.323165 | − | 0.117622i | −0.0147198 | − | 0.00535756i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.274190 | − | 1.55501i | 0.0124632 | − | 0.0706823i | ||||
\(485\) | 14.2493 | 0.647027 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.7133 | 0.530779 | 0.265389 | − | 0.964141i | \(-0.414500\pi\) | ||||
0.265389 | + | 0.964141i | \(0.414500\pi\) | |||||||
\(488\) | 0.156721 | − | 0.888808i | 0.00709442 | − | 0.0402345i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.29057 | + | 0.469730i | 0.0583022 | + | 0.0212203i | ||||
\(491\) | −29.5309 | + | 24.7794i | −1.33271 | + | 1.11828i | −0.349275 | + | 0.937020i | \(0.613572\pi\) |
−0.983436 | + | 0.181256i | \(0.941984\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 54.7586 | − | 19.9305i | 2.46620 | − | 0.897624i | ||||
\(494\) | 4.19178 | − | 7.26038i | 0.188597 | − | 0.326660i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.04304 | − | 1.80660i | −0.0468340 | − | 0.0811189i | ||||
\(497\) | 15.6949 | + | 13.1696i | 0.704014 | + | 0.590738i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.13332 | − | 29.1125i | −0.229799 | − | 1.30325i | −0.853295 | − | 0.521428i | \(-0.825400\pi\) |
0.623497 | − | 0.781826i | \(-0.285712\pi\) | |||||||
\(500\) | −2.50600 | − | 14.2122i | −0.112072 | − | 0.635591i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.1452 | − | 8.51285i | −0.452803 | − | 0.379947i | ||||
\(503\) | −17.7888 | − | 30.8110i | −0.793161 | − | 1.37380i | −0.924000 | − | 0.382392i | \(-0.875100\pi\) |
0.130839 | − | 0.991404i | \(-0.458233\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.1452 | + | 21.0361i | −0.540453 | + | 0.936092i | ||||
\(506\) | 9.30857 | − | 3.38804i | 0.413816 | − | 0.150617i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.23815 | − | 3.55623i | 0.188037 | − | 0.157782i | ||||
\(509\) | 26.6707 | + | 9.70733i | 1.18216 | + | 0.430270i | 0.856963 | − | 0.515377i | \(-0.172348\pi\) |
0.325194 | + | 0.945647i | \(0.394570\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.34889 | − | 30.3351i | 0.236621 | − | 1.34195i | ||||
\(512\) | −8.20265 | −0.362510 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −16.2365 | −0.716161 | ||||||||
\(515\) | −3.52157 | + | 19.9718i | −0.155179 | + | 0.880062i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.6208 | + | 4.95756i | 0.599041 | + | 0.218033i | ||||
\(518\) | 8.24401 | − | 6.91754i | 0.362221 | − | 0.303939i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.88123 | − | 2.86853i | 0.345615 | − | 0.125793i | ||||
\(521\) | 12.7176 | − | 22.0275i | 0.557167 | − | 0.965041i | −0.440565 | − | 0.897721i | \(-0.645222\pi\) |
0.997731 | − | 0.0673204i | \(-0.0214450\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.20395 | − | 7.28145i | −0.183826 | − | 0.318396i | 0.759354 | − | 0.650677i | \(-0.225515\pi\) |
−0.943180 | + | 0.332282i | \(0.892182\pi\) | |||||||
\(524\) | −0.109543 | − | 0.0919179i | −0.00478543 | − | 0.00401545i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.61886 | − | 14.8523i | −0.114188 | − | 0.647592i | ||||
\(527\) | −3.08543 | − | 17.4984i | −0.134404 | − | 0.762241i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.02543 | − | 4.21683i | −0.218497 | − | 0.183341i | ||||
\(530\) | 0.125209 | + | 0.216868i | 0.00543873 | + | 0.00942016i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −14.0719 | + | 24.3732i | −0.610093 | + | 1.05671i | ||||
\(533\) | −8.92499 | + | 3.24843i | −0.386584 | + | 0.140705i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.0989 | + | 11.8304i | −0.609549 | + | 0.511472i | ||||
\(536\) | −25.1176 | − | 9.14207i | −1.08492 | − | 0.394877i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.52265 | + | 14.3067i | −0.108759 | + | 0.616804i | ||||
\(539\) | 2.33440 | 0.100550 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −12.8635 | −0.553043 | −0.276522 | − | 0.961008i | \(-0.589182\pi\) | ||||
−0.276522 | + | 0.961008i | \(0.589182\pi\) | |||||||
\(542\) | −1.74728 | + | 9.90930i | −0.0750519 | + | 0.425641i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −34.5155 | − | 12.5626i | −1.47984 | − | 0.538617i | ||||
\(545\) | −2.28345 | + | 1.91604i | −0.0978124 | + | 0.0820743i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.3024 | + | 4.47771i | −0.526013 | + | 0.191453i | −0.591357 | − | 0.806410i | \(-0.701408\pi\) |
0.0653440 | + | 0.997863i | \(0.479186\pi\) | |||||||
\(548\) | 5.31514 | − | 9.20609i | 0.227051 | − | 0.393265i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.790392 | − | 1.36900i | −0.0337024 | − | 0.0583743i | ||||
\(551\) | 57.3756 | + | 48.1439i | 2.44428 | + | 2.05100i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.77249 | − | 10.0523i | −0.0753739 | − | 0.427467i | ||||
\(554\) | −1.41012 | − | 7.99719i | −0.0599103 | − | 0.339768i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 11.1584 | + | 9.36297i | 0.473220 | + | 0.397079i | ||||
\(557\) | −2.29110 | − | 3.96830i | −0.0970769 | − | 0.168142i | 0.813397 | − | 0.581710i | \(-0.197616\pi\) |
−0.910474 | + | 0.413567i | \(0.864283\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.56179 | + | 2.70509i | −0.0660565 | + | 0.114413i | ||||
\(560\) | −4.11473 | + | 1.49764i | −0.173879 | + | 0.0632868i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8.54690 | + | 7.17170i | −0.360529 | + | 0.302520i | ||||
\(563\) | −11.5431 | − | 4.20135i | −0.486484 | − | 0.177066i | 0.0871210 | − | 0.996198i | \(-0.472233\pi\) |
−0.573605 | + | 0.819132i | \(0.694456\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.32895 | + | 41.5646i | −0.308331 | + | 1.74863i | ||||
\(566\) | 14.5378 | 0.611071 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −21.6278 | −0.907484 | ||||||||
\(569\) | 2.51680 | − | 14.2735i | 0.105510 | − | 0.598375i | −0.885506 | − | 0.464628i | \(-0.846188\pi\) |
0.991016 | − | 0.133747i | \(-0.0427009\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.7159 | + | 7.53996i | 0.866932 | + | 0.315537i | 0.736924 | − | 0.675976i | \(-0.236278\pi\) |
0.130008 | + | 0.991513i | \(0.458500\pi\) | |||||||
\(572\) | 4.48745 | − | 3.76542i | 0.187630 | − | 0.157440i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −12.9899 | + | 4.72794i | −0.542188 | + | 0.197340i | ||||
\(575\) | 1.31172 | − | 2.27197i | 0.0547025 | − | 0.0947475i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.7418 | + | 27.2655i | 0.655338 | + | 1.13508i | 0.981809 | + | 0.189872i | \(0.0608072\pi\) |
−0.326471 | + | 0.945207i | \(0.605859\pi\) | |||||||
\(578\) | −13.3273 | − | 11.1829i | −0.554342 | − | 0.465148i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.34665 | + | 30.3224i | 0.222008 | + | 1.25907i | ||||
\(581\) | 0.396669 | + | 2.24962i | 0.0164566 | + | 0.0933301i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.326061 | + | 0.273598i | 0.0135041 | + | 0.0113313i | ||||
\(584\) | 16.2582 | + | 28.1600i | 0.672768 | + | 1.16527i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.19516 | + | 7.26623i | −0.173300 | + | 0.300165i | ||||
\(587\) | 13.5029 | − | 4.91464i | 0.557323 | − | 0.202849i | −0.0479743 | − | 0.998849i | \(-0.515277\pi\) |
0.605297 | + | 0.796000i | \(0.293054\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.4947 | − | 14.6798i | 0.720858 | − | 0.604872i | ||||
\(590\) | −6.94463 | − | 2.52764i | −0.285906 | − | 0.104061i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.707639 | − | 4.01322i | 0.0290838 | − | 0.164942i | ||||
\(593\) | −41.0988 | −1.68772 | −0.843862 | − | 0.536560i | \(-0.819724\pi\) | ||||
−0.843862 | + | 0.536560i | \(0.819724\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −37.2966 | −1.52901 | ||||||||
\(596\) | 2.18825 | − | 12.4102i | 0.0896343 | − | 0.508341i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.96073 | − | 1.44159i | −0.161966 | − | 0.0589509i | ||||
\(599\) | 6.55899 | − | 5.50365i | 0.267993 | − | 0.224873i | −0.498881 | − | 0.866671i | \(-0.666255\pi\) |
0.766874 | + | 0.641798i | \(0.221811\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.53660 | − | 0.559275i | 0.0626790 | − | 0.0228133i | −0.310490 | − | 0.950577i | \(-0.600493\pi\) |
0.373169 | + | 0.927763i | \(0.378271\pi\) | |||||||
\(602\) | −2.27311 | + | 3.93713i | −0.0926449 | + | 0.160466i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 16.6651 | + | 28.8648i | 0.678094 | + | 1.17449i | ||||
\(605\) | 2.06030 | + | 1.72880i | 0.0837631 | + | 0.0702856i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.14077 | + | 6.46963i | 0.0463024 | + | 0.262594i | 0.999167 | − | 0.0408009i | \(-0.0129909\pi\) |
−0.952865 | + | 0.303395i | \(0.901880\pi\) | |||||||
\(608\) | −8.19795 | − | 46.4929i | −0.332471 | − | 1.88554i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.483909 | + | 0.406048i | 0.0195929 | + | 0.0164404i | ||||
\(611\) | −3.08374 | − | 5.34120i | −0.124755 | − | 0.216082i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.1363 | − | 22.7527i | 0.530569 | − | 0.918973i | −0.468795 | − | 0.883307i | \(-0.655312\pi\) |
0.999364 | − | 0.0356656i | \(-0.0113551\pi\) | |||||||
\(614\) | 0.0363583 | − | 0.0132334i | 0.00146730 | − | 0.000534055i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 15.8942 | − | 13.3368i | 0.640396 | − | 0.537356i | ||||
\(617\) | 5.89472 | + | 2.14550i | 0.237312 | + | 0.0863746i | 0.457939 | − | 0.888984i | \(-0.348588\pi\) |
−0.220626 | + | 0.975358i | \(0.570810\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.857974 | − | 4.86581i | 0.0344849 | − | 0.195573i | −0.962698 | − | 0.270577i | \(-0.912786\pi\) |
0.997183 | + | 0.0750033i | \(0.0238967\pi\) | |||||||
\(620\) | 9.38839 | 0.377047 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.2936 | −0.412738 | ||||||||
\(623\) | −1.61962 | + | 9.18530i | −0.0648885 | + | 0.368001i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 26.1390 | + | 9.51380i | 1.04556 | + | 0.380552i | ||||
\(626\) | 8.98606 | − | 7.54020i | 0.359155 | − | 0.301367i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.55540 | − | 1.29406i | 0.141876 | − | 0.0516387i | ||||
\(629\) | 17.3550 | − | 30.0598i | 0.691991 | − | 1.19856i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.46210 | + | 5.99653i | 0.137824 | + | 0.238718i | 0.926673 | − | 0.375869i | \(-0.122656\pi\) |
−0.788849 | + | 0.614587i | \(0.789322\pi\) | |||||||
\(632\) | 8.25420 | + | 6.92610i | 0.328335 | + | 0.275505i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.16561 | − | 6.61049i | −0.0462922 | − | 0.262536i | ||||
\(635\) | 1.63639 | + | 9.28043i | 0.0649382 | + | 0.368283i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.760890 | − | 0.638463i | −0.0301476 | − | 0.0252968i | ||||
\(638\) | −11.3450 | − | 19.6502i | −0.449154 | − | 0.777957i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.0653 | − | 19.1657i | 0.437394 | − | 0.757589i | ||||
\(641\) | 31.8733 | − | 11.6009i | 1.25892 | − | 0.458210i | 0.375514 | − | 0.926817i | \(-0.377466\pi\) |
0.883407 | + | 0.468607i | \(0.155244\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.91633 | − | 4.96439i | 0.233317 | − | 0.195776i | −0.518632 | − | 0.854998i | \(-0.673558\pi\) |
0.751949 | + | 0.659221i | \(0.229114\pi\) | |||||||
\(644\) | 13.2962 | + | 4.83943i | 0.523944 | + | 0.190700i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.83390 | − | 38.7569i | 0.268876 | − | 1.52487i | ||||
\(647\) | 35.1862 | 1.38331 | 0.691655 | − | 0.722228i | \(-0.256882\pi\) | ||||
0.691655 | + | 0.722228i | \(0.256882\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.5615 | −0.493083 | ||||||||
\(650\) | −0.116798 | + | 0.662393i | −0.00458119 | + | 0.0259812i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −28.9061 | − | 10.5210i | −1.13205 | − | 0.412032i | ||||
\(653\) | 14.9470 | − | 12.5421i | 0.584923 | − | 0.490808i | −0.301637 | − | 0.953423i | \(-0.597533\pi\) |
0.886560 | + | 0.462614i | \(0.153089\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.228883 | − | 0.0833065i | 0.00894318 | − | 0.00325505i | ||||
\(656\) | −2.61726 | + | 4.53323i | −0.102187 | + | 0.176993i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.48824 | − | 7.77386i | −0.174970 | − | 0.303057i | ||||
\(659\) | 17.6852 | + | 14.8397i | 0.688919 | + | 0.578072i | 0.918597 | − | 0.395195i | \(-0.129323\pi\) |
−0.229678 | + | 0.973267i | \(0.573767\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.19407 | − | 6.77189i | −0.0464438 | − | 0.263396i | 0.952740 | − | 0.303786i | \(-0.0982509\pi\) |
−0.999184 | + | 0.0403905i | \(0.987140\pi\) | |||||||
\(662\) | −4.19005 | − | 23.7629i | −0.162851 | − | 0.923573i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.84723 | − | 1.55001i | −0.0716863 | − | 0.0601519i | ||||
\(665\) | −23.9688 | − | 41.5152i | −0.929471 | − | 1.60989i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.8280 | − | 32.6110i | 0.729023 | − | 1.26270i | ||||
\(668\) | 11.7345 | − | 4.27100i | 0.454020 | − | 0.165250i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 14.3318 | − | 12.0258i | 0.553685 | − | 0.464597i | ||||
\(671\) | 1.00896 | + | 0.367232i | 0.0389505 | + | 0.0141768i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.32619 | + | 30.2063i | −0.205310 | + | 1.16437i | 0.691642 | + | 0.722240i | \(0.256888\pi\) |
−0.896952 | + | 0.442128i | \(0.854224\pi\) | |||||||
\(674\) | 18.5624 | 0.714997 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6442 | 0.601700 | ||||||||
\(677\) | −2.35883 | + | 13.3776i | −0.0906572 | + | 0.514143i | 0.905335 | + | 0.424699i | \(0.139620\pi\) |
−0.995992 | + | 0.0894438i | \(0.971491\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.0944 | − | 5.12996i | −0.540895 | − | 0.196870i | ||||
\(680\) | 30.1600 | − | 25.3072i | 1.15658 | − | 0.970488i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.50131 | + | 2.36628i | −0.248948 | + | 0.0906097i | ||||
\(683\) | 3.03350 | − | 5.25418i | 0.116074 | − | 0.201045i | −0.802135 | − | 0.597143i | \(-0.796302\pi\) |
0.918208 | + | 0.396098i | \(0.129636\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.05335 | + | 15.6809i | 0.345911 | + | 0.599135i | ||||
\(686\) | −11.5393 | − | 9.68261i | −0.440572 | − | 0.369684i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.298935 | + | 1.69535i | 0.0113968 | + | 0.0646345i | ||||
\(689\) | −0.0314490 | − | 0.178356i | −0.00119811 | − | 0.00679483i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.8304 | + | 13.2833i | 0.602216 | + | 0.505319i | 0.892157 | − | 0.451725i | \(-0.149191\pi\) |
−0.289941 | + | 0.957044i | \(0.593636\pi\) | |||||||
\(692\) | 1.83756 | + | 3.18275i | 0.0698537 | + | 0.120990i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.52054 | − | 14.7580i | 0.323435 | − | 0.560206i | ||||
\(695\) | −23.3145 | + | 8.48580i | −0.884371 | + | 0.321885i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −34.1543 | + | 28.6588i | −1.29368 | + | 1.08553i | ||||
\(698\) | 11.5814 | + | 4.21527i | 0.438361 | + | 0.159550i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.392092 | − | 2.22366i | 0.0148197 | − | 0.0840466i | ||||
\(701\) | 11.0222 | 0.416303 | 0.208151 | − | 0.978097i | \(-0.433255\pi\) | ||||
0.208151 | + | 0.978097i | \(0.433255\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 44.6131 | 1.68262 | ||||||||
\(704\) | −1.67983 | + | 9.52680i | −0.0633111 | + | 0.359055i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.43273 | + | 3.43323i | 0.355006 | + | 0.129211i | ||||
\(707\) | 19.5865 | − | 16.4350i | 0.736626 | − | 0.618103i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.3248 | − | 3.75793i | 0.387757 | − | 0.141132i | −0.140783 | − | 0.990040i | \(-0.544962\pi\) |
0.528540 | + | 0.848909i | \(0.322740\pi\) | |||||||
\(710\) | 7.56897 | − | 13.1098i | 0.284058 | − | 0.492003i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.92288 | − | 8.52669i | −0.184493 | − | 0.319551i | ||||
\(713\) | −8.79564 | − | 7.38042i | −0.329399 | − | 0.276399i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.73265 | + | 9.82634i | 0.0647974 | + | 0.367484i | ||||
\(716\) | −0.892623 | − | 5.06231i | −0.0333589 | − | 0.189188i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.3880 | − | 12.9121i | −0.574276 | − | 0.481875i | ||||
\(719\) | −16.3529 | − | 28.3240i | −0.609859 | − | 1.05631i | −0.991263 | − | 0.131898i | \(-0.957893\pi\) |
0.381404 | − | 0.924408i | \(-0.375441\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.6734 | − | 18.4870i | 0.397500 | − | 0.688490i | ||||
\(722\) | 33.6468 | − | 12.2464i | 1.25220 | − | 0.455765i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.286965 | − | 0.240792i | 0.0106650 | − | 0.00894896i | ||||
\(725\) | −5.64670 | − | 2.05523i | −0.209713 | − | 0.0763294i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.67862 | − | 37.8763i | 0.247696 | − | 1.40475i | −0.566451 | − | 0.824096i | \(-0.691684\pi\) |
0.814147 | − | 0.580659i | \(-0.197205\pi\) | |||||||
\(728\) | −8.82830 | −0.327199 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −22.7591 | −0.842352 | ||||||||
\(731\) | −2.54619 | + | 14.4402i | −0.0941743 | + | 0.534089i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.2569 | − | 4.82513i | −0.489656 | − | 0.178220i | 0.0853795 | − | 0.996349i | \(-0.472790\pi\) |
−0.575036 | + | 0.818128i | \(0.695012\pi\) | |||||||
\(734\) | −9.51729 | + | 7.98596i | −0.351290 | + | 0.294767i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −22.3039 | + | 8.11797i | −0.822134 | + | 0.299232i | ||||
\(737\) | 15.8999 | − | 27.5395i | 0.585681 | − | 1.01443i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.92286 | + | 10.2587i | 0.217876 | + | 0.377372i | 0.954158 | − | 0.299302i | \(-0.0967539\pi\) |
−0.736283 | + | 0.676674i | \(0.763421\pi\) | |||||||
\(740\) | 14.0493 | + | 11.7888i | 0.516462 | + | 0.433363i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.0457725 | − | 0.259589i | −0.00168036 | − | 0.00952981i | ||||
\(743\) | −3.77990 | − | 21.4369i | −0.138671 | − | 0.786442i | −0.972233 | − | 0.234016i | \(-0.924813\pi\) |
0.833562 | − | 0.552426i | \(-0.186298\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.4428 | + | 13.7971i | 0.602417 | + | 0.505488i | ||||
\(746\) | 0.710290 | + | 1.23026i | 0.0260056 | + | 0.0450429i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.7494 | − | 23.8147i | 0.502729 | − | 0.870753i | ||||
\(749\) | 18.2048 | − | 6.62601i | 0.665190 | − | 0.242109i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −32.5944 | + | 27.3500i | −1.18939 | + | 0.998015i | −0.189518 | + | 0.981877i | \(0.560693\pi\) |
−0.999870 | + | 0.0161380i | \(0.994863\pi\) | |||||||
\(752\) | −3.19411 | − | 1.16256i | −0.116477 | − | 0.0423942i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.67648 | + | 9.50778i | −0.0610537 | + | 0.346253i | ||||
\(755\) | −56.7719 | −2.06614 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.6382 | −0.750110 | −0.375055 | − | 0.927003i | \(-0.622376\pi\) | ||||
−0.375055 | + | 0.927003i | \(0.622376\pi\) | |||||||
\(758\) | −0.154896 | + | 0.878457i | −0.00562607 | + | 0.0319070i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 47.5522 | + | 17.3076i | 1.72490 | + | 0.627812i | ||||
\(761\) | −37.8771 | + | 31.7827i | −1.37304 | + | 1.15212i | −0.401336 | + | 0.915931i | \(0.631454\pi\) |
−0.971707 | + | 0.236189i | \(0.924101\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.94844 | − | 1.07315i | 0.106741 | − | 0.0388505i | ||||
\(764\) | −1.67275 | + | 2.89729i | −0.0605181 | + | 0.104820i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.48799 | + | 14.7016i | 0.306684 | + | 0.531192i | ||||
\(767\) | 4.09438 | + | 3.43559i | 0.147840 | + | 0.124052i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.84346 | + | 21.7973i | 0.138599 | + | 0.786032i | 0.972286 | + | 0.233795i | \(0.0751145\pi\) |
−0.833687 | + | 0.552237i | \(0.813774\pi\) | |||||||
\(770\) | 2.52179 | + | 14.3018i | 0.0908789 | + | 0.515400i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.530309 | − | 0.444982i | −0.0190862 | − | 0.0160152i | ||||
\(773\) | −10.9836 | − | 19.0241i | −0.395051 | − | 0.684248i | 0.598057 | − | 0.801454i | \(-0.295940\pi\) |
−0.993108 | + | 0.117206i | \(0.962606\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.916134 | + | 1.58679i | −0.0329085 | + | 0.0569992i | ||||
\(776\) | 14.8784 | − | 5.41529i | 0.534103 | − | 0.194398i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.6071 | − | 13.0959i | 0.559541 | − | 0.469511i | ||||
\(779\) | −53.8498 | − | 19.5997i | −1.92937 | − | 0.702233i |