Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 253.3 | ||
Character | \(\chi\) | \(=\) | 441.253 |
Dual form | 441.2.u.c.190.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309296 | + | 0.387845i | 0.218705 | + | 0.274248i | 0.879065 | − | 0.476701i | \(-0.158168\pi\) |
−0.660360 | + | 0.750949i | \(0.729596\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.390282 | − | 1.70994i | 0.195141 | − | 0.854969i | ||||
\(5\) | −0.734303 | + | 0.353621i | −0.328390 | + | 0.158144i | −0.590813 | − | 0.806809i | \(-0.701193\pi\) |
0.262423 | + | 0.964953i | \(0.415479\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.35634 | − | 1.20320i | −0.890611 | − | 0.454766i | ||||
\(8\) | 1.67779 | − | 0.807983i | 0.593190 | − | 0.285665i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.364267 | − | 0.175422i | −0.115191 | − | 0.0554732i | ||||
\(11\) | −2.98698 | − | 3.74555i | −0.900608 | − | 1.12933i | −0.991059 | − | 0.133426i | \(-0.957402\pi\) |
0.0904503 | − | 0.995901i | \(-0.471169\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.29812 | − | 1.62779i | −0.360034 | − | 0.451469i | 0.568518 | − | 0.822671i | \(-0.307517\pi\) |
−0.928552 | + | 0.371202i | \(0.878946\pi\) | |||||||
\(14\) | −0.262151 | − | 1.28604i | −0.0700627 | − | 0.343708i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.32813 | − | 1.12117i | −0.582034 | − | 0.280293i | ||||
\(17\) | −0.242546 | − | 1.06266i | −0.0588261 | − | 0.257734i | 0.936960 | − | 0.349435i | \(-0.113627\pi\) |
−0.995787 | + | 0.0917015i | \(0.970769\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.79907 | 1.78923 | 0.894614 | − | 0.446839i | \(-0.147450\pi\) | ||||
0.894614 | + | 0.446839i | \(0.147450\pi\) | |||||||
\(20\) | 0.318086 | + | 1.39362i | 0.0711261 | + | 0.311624i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.528833 | − | 2.31697i | 0.112748 | − | 0.493980i | ||||
\(23\) | −0.652310 | + | 2.85796i | −0.136016 | + | 0.595925i | 0.860271 | + | 0.509836i | \(0.170294\pi\) |
−0.996287 | + | 0.0860888i | \(0.972563\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.70330 | + | 3.38983i | −0.540659 | + | 0.677965i | ||||
\(26\) | 0.229827 | − | 1.00694i | 0.0450729 | − | 0.197477i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.97703 | + | 3.55960i | −0.562606 | + | 0.672701i | ||||
\(29\) | −2.37416 | − | 10.4019i | −0.440870 | − | 1.93158i | −0.353613 | − | 0.935392i | \(-0.615047\pi\) |
−0.0872565 | − | 0.996186i | \(-0.527810\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.31585 | −0.595544 | −0.297772 | − | 0.954637i | \(-0.596243\pi\) | ||||
−0.297772 | + | 0.954637i | \(0.596243\pi\) | |||||||
\(32\) | −1.11400 | − | 4.88077i | −0.196930 | − | 0.862807i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.337130 | − | 0.422748i | 0.0578173 | − | 0.0725006i | ||||
\(35\) | 2.15574 | + | 0.0502606i | 0.364386 | + | 0.00849559i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.439504 | − | 1.92559i | −0.0722541 | − | 0.316566i | 0.925866 | − | 0.377852i | \(-0.123337\pi\) |
−0.998120 | + | 0.0612858i | \(0.980480\pi\) | |||||||
\(38\) | 2.41222 | + | 3.02483i | 0.391314 | + | 0.490692i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.946288 | + | 1.18661i | −0.149621 | + | 0.187619i | ||||
\(41\) | 7.26508 | − | 3.49868i | 1.13461 | − | 0.546402i | 0.230237 | − | 0.973135i | \(-0.426050\pi\) |
0.904378 | + | 0.426733i | \(0.140336\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.89689 | + | 2.83979i | 0.899267 | + | 0.433064i | 0.825624 | − | 0.564220i | \(-0.190823\pi\) |
0.0736429 | + | 0.997285i | \(0.476537\pi\) | |||||||
\(44\) | −7.57043 | + | 3.64573i | −1.14129 | + | 0.549614i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.31020 | + | 0.630959i | −0.193178 | + | 0.0930298i | ||||
\(47\) | 5.16833 | + | 6.48089i | 0.753879 | + | 0.945334i | 0.999712 | − | 0.0239776i | \(-0.00763304\pi\) |
−0.245833 | + | 0.969312i | \(0.579062\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.10463 | + | 5.67027i | 0.586376 | + | 0.810039i | ||||
\(50\) | −2.15085 | −0.304175 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.29006 | + | 1.58441i | −0.456249 | + | 0.219718i | ||||
\(53\) | 0.782663 | − | 3.42907i | 0.107507 | − | 0.471019i | −0.892301 | − | 0.451440i | \(-0.850910\pi\) |
0.999808 | − | 0.0195786i | \(-0.00623246\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.51786 | + | 1.69411i | 0.474348 | + | 0.228434i | ||||
\(56\) | −4.92561 | − | 0.114839i | −0.658212 | − | 0.0153461i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.29999 | − | 4.13806i | 0.433310 | − | 0.543354i | ||||
\(59\) | 7.50811 | + | 3.61571i | 0.977472 | + | 0.470726i | 0.853235 | − | 0.521527i | \(-0.174637\pi\) |
0.124237 | + | 0.992253i | \(0.460352\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.32716 | − | 5.81465i | −0.169925 | − | 0.744490i | −0.986027 | − | 0.166583i | \(-0.946727\pi\) |
0.816102 | − | 0.577907i | \(-0.196130\pi\) | |||||||
\(62\) | −1.02558 | − | 1.28603i | −0.130249 | − | 0.163327i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.67381 | + | 2.09889i | −0.209227 | + | 0.262362i | ||||
\(65\) | 1.52884 | + | 0.736249i | 0.189629 | + | 0.0913205i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.24067 | 0.151572 | 0.0757860 | − | 0.997124i | \(-0.475853\pi\) | ||||
0.0757860 | + | 0.997124i | \(0.475853\pi\) | |||||||
\(68\) | −1.91175 | −0.231834 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.647268 | + | 0.851638i | 0.0773633 | + | 0.101790i | ||||
\(71\) | −1.67946 | + | 7.35819i | −0.199315 | + | 0.873257i | 0.772031 | + | 0.635585i | \(0.219241\pi\) |
−0.971346 | + | 0.237671i | \(0.923616\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.69966 | − | 4.63923i | 0.433013 | − | 0.542981i | −0.516674 | − | 0.856182i | \(-0.672830\pi\) |
0.949687 | + | 0.313202i | \(0.101402\pi\) | |||||||
\(74\) | 0.610895 | − | 0.766038i | 0.0710151 | − | 0.0890501i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.04384 | − | 13.3359i | 0.349152 | − | 1.52974i | ||||
\(77\) | 2.53168 | + | 12.4197i | 0.288512 | + | 1.41536i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.49325 | −0.618039 | −0.309020 | − | 0.951056i | \(-0.600001\pi\) | ||||
−0.309020 | + | 0.951056i | \(0.600001\pi\) | |||||||
\(80\) | 2.10602 | 0.235461 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.60400 | + | 1.73560i | 0.397996 | + | 0.191665i | ||||
\(83\) | −6.02154 | + | 7.55077i | −0.660950 | + | 0.828805i | −0.993446 | − | 0.114299i | \(-0.963538\pi\) |
0.332496 | + | 0.943105i | \(0.392109\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.553883 | + | 0.694547i | 0.0600770 | + | 0.0753342i | ||||
\(86\) | 0.722485 | + | 3.16541i | 0.0779076 | + | 0.341335i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.03788 | − | 3.87084i | −0.856841 | − | 0.412633i | ||||
\(89\) | −3.82643 | + | 4.79820i | −0.405601 | + | 0.508608i | −0.942118 | − | 0.335282i | \(-0.891168\pi\) |
0.536517 | + | 0.843890i | \(0.319740\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.10025 | + | 5.39753i | 0.115338 | + | 0.565814i | ||||
\(92\) | 4.63234 | + | 2.23082i | 0.482955 | + | 0.232579i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.915033 | + | 4.00902i | −0.0943785 | + | 0.413499i | ||||
\(95\) | −5.72687 | + | 2.75792i | −0.587565 | + | 0.282956i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.2300 | −1.03870 | −0.519350 | − | 0.854562i | \(-0.673826\pi\) | ||||
−0.519350 | + | 0.854562i | \(0.673826\pi\) | |||||||
\(98\) | −0.929641 | + | 3.34575i | −0.0939080 | + | 0.337972i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.74135 | + | 5.94546i | 0.474135 | + | 0.594546i | ||||
\(101\) | 10.1408 | − | 4.88353i | 1.00904 | − | 0.485930i | 0.145045 | − | 0.989425i | \(-0.453667\pi\) |
0.863998 | + | 0.503495i | \(0.167953\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.0310048 | + | 0.0149311i | −0.00305500 | + | 0.00147121i | −0.435411 | − | 0.900232i | \(-0.643397\pi\) |
0.432356 | + | 0.901703i | \(0.357683\pi\) | |||||||
\(104\) | −3.49321 | − | 1.68224i | −0.342538 | − | 0.164957i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.57202 | − | 0.757045i | 0.152688 | − | 0.0735307i | ||||
\(107\) | −3.33963 | + | 4.18777i | −0.322854 | + | 0.404847i | −0.916600 | − | 0.399807i | \(-0.869077\pi\) |
0.593745 | + | 0.804653i | \(0.297649\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.09968 | + | 6.39479i | 0.488461 | + | 0.612510i | 0.963583 | − | 0.267409i | \(-0.0861676\pi\) |
−0.475122 | + | 0.879920i | \(0.657596\pi\) | |||||||
\(110\) | 0.431007 | + | 1.88836i | 0.0410949 | + | 0.180048i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.13687 | + | 5.44306i | 0.390898 | + | 0.514321i | ||||
\(113\) | 8.84577 | − | 11.0922i | 0.832140 | − | 1.04347i | −0.166212 | − | 0.986090i | \(-0.553154\pi\) |
0.998352 | − | 0.0573807i | \(-0.0182749\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.531642 | − | 2.32928i | −0.0495759 | − | 0.217206i | ||||
\(116\) | −18.7131 | −1.73747 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.919891 | + | 4.03031i | 0.0846828 | + | 0.371020i | ||||
\(119\) | −0.707075 | + | 2.79582i | −0.0648174 | + | 0.256293i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.65940 | + | 11.6516i | −0.241764 | + | 1.05924i | ||||
\(122\) | 1.84470 | − | 2.31318i | 0.167011 | − | 0.209425i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.29412 | + | 5.66989i | −0.116215 | + | 0.509172i | ||||
\(125\) | 1.69311 | − | 7.41800i | 0.151436 | − | 0.663486i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.252598 | + | 1.10670i | 0.0224144 | + | 0.0982041i | 0.984898 | − | 0.173136i | \(-0.0553902\pi\) |
−0.962483 | + | 0.271341i | \(0.912533\pi\) | |||||||
\(128\) | −11.3443 | −1.00271 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.187313 | + | 0.820670i | 0.0164284 | + | 0.0719776i | ||||
\(131\) | 7.11942 | + | 3.42853i | 0.622027 | + | 0.299552i | 0.718226 | − | 0.695810i | \(-0.244954\pi\) |
−0.0961992 | + | 0.995362i | \(0.530669\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −18.3772 | − | 9.38382i | −1.59351 | − | 0.813680i | ||||
\(134\) | 0.383734 | + | 0.481187i | 0.0331496 | + | 0.0415682i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.26556 | − | 1.58696i | −0.108521 | − | 0.136081i | ||||
\(137\) | 13.8429 | + | 6.66641i | 1.18268 | + | 0.569549i | 0.918691 | − | 0.394976i | \(-0.129247\pi\) |
0.263990 | + | 0.964525i | \(0.414961\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.460998 | + | 0.222005i | −0.0391014 | + | 0.0188302i | −0.453332 | − | 0.891342i | \(-0.649765\pi\) |
0.414231 | + | 0.910172i | \(0.364051\pi\) | |||||||
\(140\) | 0.927289 | − | 3.66657i | 0.0783702 | − | 0.309881i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.37329 | + | 1.62449i | −0.283080 | + | 0.136324i | ||||
\(143\) | −2.21953 | + | 9.72438i | −0.185606 | + | 0.813193i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.42167 | + | 6.79856i | 0.450245 | + | 0.564590i | ||||
\(146\) | 2.94359 | 0.243613 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.46418 | −0.284754 | ||||||||
\(149\) | −8.71719 | − | 10.9310i | −0.714140 | − | 0.895504i | 0.283850 | − | 0.958869i | \(-0.408388\pi\) |
−0.997990 | + | 0.0633651i | \(0.979817\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.21510 | − | 18.4675i | 0.343020 | − | 1.50287i | −0.449644 | − | 0.893208i | \(-0.648449\pi\) |
0.792663 | − | 0.609660i | \(-0.208694\pi\) | |||||||
\(152\) | 13.0852 | − | 6.30151i | 1.06135 | − | 0.511120i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.03388 | + | 4.82327i | −0.325059 | + | 0.388670i | ||||
\(155\) | 2.43484 | − | 1.17255i | 0.195571 | − | 0.0941819i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.6120 | + | 8.48150i | 1.40559 | + | 0.676898i | 0.974287 | − | 0.225309i | \(-0.0723390\pi\) |
0.431305 | + | 0.902206i | \(0.358053\pi\) | |||||||
\(158\) | −1.69904 | − | 2.13053i | −0.135168 | − | 0.169496i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.54396 | + | 3.19003i | 0.201118 | + | 0.252194i | ||||
\(161\) | 4.97575 | − | 5.94944i | 0.392144 | − | 0.468882i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.7964 | − | 6.64398i | −1.08062 | − | 0.520397i | −0.193102 | − | 0.981179i | \(-0.561855\pi\) |
−0.887513 | + | 0.460782i | \(0.847569\pi\) | |||||||
\(164\) | −3.14709 | − | 13.7883i | −0.245747 | − | 1.07669i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.79097 | −0.371851 | ||||||||
\(167\) | −3.85674 | − | 16.8975i | −0.298444 | − | 1.30757i | −0.872445 | − | 0.488713i | \(-0.837467\pi\) |
0.574001 | − | 0.818855i | \(-0.305391\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.92818 | − | 8.44791i | 0.148322 | − | 0.649839i | ||||
\(170\) | −0.0980628 | + | 0.429641i | −0.00752107 | + | 0.0329520i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.15732 | − | 8.97500i | 0.545741 | − | 0.684337i | ||||
\(173\) | −4.24082 | + | 18.5802i | −0.322423 | + | 1.41263i | 0.510804 | + | 0.859697i | \(0.329348\pi\) |
−0.833227 | + | 0.552931i | \(0.813509\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.4485 | − | 4.73497i | 0.789833 | − | 0.357930i | ||||
\(176\) | 2.75469 | + | 12.0691i | 0.207642 | + | 0.909740i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.04446 | −0.228192 | ||||||||
\(179\) | −2.54954 | − | 11.1703i | −0.190561 | − | 0.834904i | −0.976313 | − | 0.216362i | \(-0.930581\pi\) |
0.785752 | − | 0.618542i | \(-0.212276\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.67475 | − | 3.35403i | 0.198813 | − | 0.249303i | −0.672424 | − | 0.740166i | \(-0.734747\pi\) |
0.871237 | + | 0.490863i | \(0.163318\pi\) | |||||||
\(182\) | −1.75310 | + | 2.09616i | −0.129948 | + | 0.155378i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.21474 | + | 5.32212i | 0.0895517 | + | 0.392352i | ||||
\(185\) | 1.00366 | + | 1.25855i | 0.0737906 | + | 0.0925305i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.25578 | + | 4.08263i | −0.238087 | + | 0.298551i | ||||
\(188\) | 13.0990 | − | 6.30816i | 0.955345 | − | 0.460070i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.84094 | − | 1.36813i | −0.206104 | − | 0.0992543i | ||||
\(191\) | 2.00226 | − | 0.964238i | 0.144878 | − | 0.0697698i | −0.360040 | − | 0.932937i | \(-0.617237\pi\) |
0.504918 | + | 0.863167i | \(0.331523\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.6453 | + | 5.60808i | −0.838247 | + | 0.403678i | −0.803202 | − | 0.595707i | \(-0.796872\pi\) |
−0.0350454 | + | 0.999386i | \(0.511158\pi\) | |||||||
\(194\) | −3.16410 | − | 3.96765i | −0.227169 | − | 0.284861i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 11.2978 | − | 4.80566i | 0.806985 | − | 0.343261i | ||||
\(197\) | 26.7968 | 1.90920 | 0.954598 | − | 0.297898i | \(-0.0962857\pi\) | ||||
0.954598 | + | 0.297898i | \(0.0962857\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.1513 | − | 8.25963i | 1.21582 | − | 0.585510i | 0.287678 | − | 0.957727i | \(-0.407117\pi\) |
0.928146 | + | 0.372217i | \(0.121402\pi\) | |||||||
\(200\) | −1.79665 | + | 7.87165i | −0.127043 | + | 0.556610i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.03055 | + | 2.42258i | 0.353948 | + | 0.170452i | ||||
\(203\) | −6.92119 | + | 27.3669i | −0.485772 | + | 1.92078i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.09756 | + | 5.13817i | −0.286186 | + | 0.358866i | ||||
\(206\) | −0.0153806 | − | 0.00740692i | −0.00107162 | − | 0.000516065i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.19717 | + | 5.24514i | 0.0830087 | + | 0.363685i | ||||
\(209\) | −23.2957 | − | 29.2118i | −1.61139 | − | 2.02062i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.620248 | + | 0.777766i | −0.0426996 | + | 0.0535436i | −0.802723 | − | 0.596352i | \(-0.796616\pi\) |
0.760023 | + | 0.649896i | \(0.225188\pi\) | |||||||
\(212\) | −5.55804 | − | 2.67661i | −0.381728 | − | 0.183830i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.65714 | −0.181638 | ||||||||
\(215\) | −5.33431 | −0.363797 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.81325 | + | 3.98962i | 0.530398 | + | 0.270833i | ||||
\(218\) | −0.902878 | + | 3.95577i | −0.0611506 | + | 0.267918i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.26978 | − | 5.35413i | 0.287869 | − | 0.360976i | ||||
\(221\) | −1.41494 | + | 1.77428i | −0.0951794 | + | 0.119351i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.12351 | − | 9.30371i | 0.142201 | − | 0.623023i | −0.852721 | − | 0.522367i | \(-0.825049\pi\) |
0.994921 | − | 0.100655i | \(-0.0320939\pi\) | |||||||
\(224\) | −3.24757 | + | 12.8411i | −0.216987 | + | 0.857982i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.03803 | 0.468163 | ||||||||
\(227\) | 6.33745 | 0.420632 | 0.210316 | − | 0.977634i | \(-0.432551\pi\) | ||||
0.210316 | + | 0.977634i | \(0.432551\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −16.7559 | − | 8.06923i | −1.10726 | − | 0.533229i | −0.211328 | − | 0.977415i | \(-0.567779\pi\) |
−0.895935 | + | 0.444186i | \(0.853493\pi\) | |||||||
\(230\) | 0.738963 | − | 0.926630i | 0.0487257 | − | 0.0611002i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.3879 | − | 15.5339i | −0.813304 | − | 1.01985i | ||||
\(233\) | −1.65102 | − | 7.23360i | −0.108162 | − | 0.473889i | −0.999777 | − | 0.0210952i | \(-0.993285\pi\) |
0.891615 | − | 0.452793i | \(-0.149572\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.08690 | − | 2.93130i | −0.397066 | − | 0.191217i | ||||
\(236\) | 9.11293 | − | 11.4272i | 0.593201 | − | 0.743851i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.30304 | + | 0.590501i | −0.0844636 | + | 0.0382765i | ||||
\(239\) | −22.5961 | − | 10.8817i | −1.46162 | − | 0.703880i | −0.477053 | − | 0.878875i | \(-0.658295\pi\) |
−0.984569 | + | 0.174994i | \(0.944009\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.00652 | − | 8.79115i | 0.129251 | − | 0.566288i | −0.868280 | − | 0.496074i | \(-0.834775\pi\) |
0.997532 | − | 0.0702140i | \(-0.0223682\pi\) | |||||||
\(242\) | −5.34155 | + | 2.57236i | −0.343368 | + | 0.165357i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −10.4607 | −0.669676 | ||||||||
\(245\) | −5.01917 | − | 2.71221i | −0.320663 | − | 0.173277i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.1241 | − | 12.6953i | −0.644184 | − | 0.807781i | ||||
\(248\) | −5.56331 | + | 2.67915i | −0.353271 | + | 0.170126i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.40071 | − | 1.63769i | 0.215080 | − | 0.103577i | ||||
\(251\) | −7.77165 | − | 3.74263i | −0.490542 | − | 0.236233i | 0.172226 | − | 0.985057i | \(-0.444904\pi\) |
−0.662768 | + | 0.748825i | \(0.730618\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.6531 | − | 6.09340i | 0.795492 | − | 0.383089i | ||||
\(254\) | −0.351102 | + | 0.440268i | −0.0220301 | + | 0.0276249i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.161129 | − | 0.202050i | −0.0100706 | − | 0.0126281i | ||||
\(257\) | 0.324772 | + | 1.42292i | 0.0202587 | + | 0.0887592i | 0.984047 | − | 0.177911i | \(-0.0569338\pi\) |
−0.963788 | + | 0.266670i | \(0.914077\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.28125 | + | 5.06616i | −0.0796131 | + | 0.314796i | ||||
\(260\) | 1.85562 | − | 2.32687i | 0.115081 | − | 0.144306i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.872270 | + | 3.82166i | 0.0538890 | + | 0.236103i | ||||
\(263\) | 2.23788 | 0.137993 | 0.0689967 | − | 0.997617i | \(-0.478020\pi\) | ||||
0.0689967 | + | 0.997617i | \(0.478020\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.637881 | + | 2.79474i | 0.0391847 | + | 0.171680i | ||||
\(266\) | −2.04453 | − | 10.0299i | −0.125358 | − | 0.614972i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.484211 | − | 2.12147i | 0.0295779 | − | 0.129589i | ||||
\(269\) | 1.74064 | − | 2.18270i | 0.106129 | − | 0.133081i | −0.725930 | − | 0.687768i | \(-0.758591\pi\) |
0.832059 | + | 0.554687i | \(0.187162\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.64427 | + | 20.3479i | −0.282119 | + | 1.23605i | 0.612951 | + | 0.790121i | \(0.289982\pi\) |
−0.895071 | + | 0.445925i | \(0.852875\pi\) | |||||||
\(272\) | −0.626747 | + | 2.74596i | −0.0380021 | + | 0.166498i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.69603 | + | 7.43080i | 0.102461 | + | 0.448911i | ||||
\(275\) | 20.7715 | 1.25257 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.49753 | − | 10.9424i | −0.150062 | − | 0.657465i | −0.992865 | − | 0.119243i | \(-0.961953\pi\) |
0.842803 | − | 0.538222i | \(-0.180904\pi\) | |||||||
\(278\) | −0.228688 | − | 0.110131i | −0.0137158 | − | 0.00660519i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.65750 | − | 1.65747i | 0.218577 | − | 0.0990530i | ||||
\(281\) | −5.50298 | − | 6.90052i | −0.328281 | − | 0.411651i | 0.590112 | − | 0.807321i | \(-0.299084\pi\) |
−0.918392 | + | 0.395671i | \(0.870512\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.5289 | + | 23.2345i | 1.10143 | + | 1.38115i | 0.917277 | + | 0.398251i | \(0.130383\pi\) |
0.184153 | + | 0.982898i | \(0.441046\pi\) | |||||||
\(284\) | 11.9266 | + | 5.74354i | 0.707713 | + | 0.340817i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.45804 | + | 2.14688i | −0.263609 | + | 0.126948i | ||||
\(287\) | −21.3286 | − | 0.497271i | −1.25899 | − | 0.0293530i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.2460 | − | 6.86053i | 0.838003 | − | 0.403561i | ||||
\(290\) | −0.959886 | + | 4.20553i | −0.0563664 | + | 0.246957i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.48888 | − | 8.13680i | −0.379733 | − | 0.476170i | ||||
\(293\) | 9.52198 | 0.556280 | 0.278140 | − | 0.960541i | \(-0.410282\pi\) | ||||
0.278140 | + | 0.960541i | \(0.410282\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.79182 | −0.395435 | ||||||||
\(296\) | −2.29325 | − | 2.87564i | −0.133292 | − | 0.167143i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.54334 | − | 6.76184i | 0.0894036 | − | 0.391703i | ||||
\(299\) | 5.49894 | − | 2.64815i | 0.318012 | − | 0.153146i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.4782 | − | 13.7866i | −0.603954 | − | 0.794648i | ||||
\(302\) | 8.46625 | − | 4.07713i | 0.487178 | − | 0.234613i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −18.1573 | − | 8.74408i | −1.04139 | − | 0.501507i | ||||
\(305\) | 3.03072 | + | 3.80040i | 0.173539 | + | 0.217611i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.5371 | + | 25.7527i | 1.17211 | + | 1.46978i | 0.852881 | + | 0.522105i | \(0.174853\pi\) |
0.319230 | + | 0.947677i | \(0.396576\pi\) | |||||||
\(308\) | 22.2250 | + | 0.518171i | 1.26639 | + | 0.0295255i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.20785 | + | 0.581672i | 0.0686015 | + | 0.0330367i | ||||
\(311\) | −1.42368 | − | 6.23757i | −0.0807298 | − | 0.353700i | 0.918389 | − | 0.395679i | \(-0.129491\pi\) |
−0.999118 | + | 0.0419792i | \(0.986634\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.76875 | −0.326069 | −0.163035 | − | 0.986620i | \(-0.552128\pi\) | ||||
−0.163035 | + | 0.986620i | \(0.552128\pi\) | |||||||
\(314\) | 2.15782 | + | 9.45402i | 0.121773 | + | 0.533521i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.14392 | + | 9.39313i | −0.120605 | + | 0.528405i | ||||
\(317\) | 1.37782 | − | 6.03663i | 0.0773862 | − | 0.339051i | −0.921383 | − | 0.388657i | \(-0.872939\pi\) |
0.998769 | + | 0.0496055i | \(0.0157964\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −31.8692 | + | 39.9627i | −1.78433 | + | 2.23748i | ||||
\(320\) | 0.486871 | − | 2.13312i | 0.0272169 | − | 0.119245i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.84644 | + | 0.0896789i | 0.214354 | + | 0.00499761i | ||||
\(323\) | −1.89163 | − | 8.28778i | −0.105253 | − | 0.461145i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.02715 | 0.500736 | ||||||||
\(326\) | −1.69033 | − | 7.40581i | −0.0936186 | − | 0.410170i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.36243 | − | 11.7401i | 0.516954 | − | 0.648240i | ||||
\(329\) | −4.38054 | − | 21.4897i | −0.241507 | − | 1.18476i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.74339 | + | 7.63830i | 0.0958254 | + | 0.419839i | 0.999973 | − | 0.00738214i | \(-0.00234983\pi\) |
−0.904147 | + | 0.427221i | \(0.859493\pi\) | |||||||
\(332\) | 10.5613 | + | 13.2434i | 0.579624 | + | 0.726826i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.36073 | − | 6.72214i | 0.293326 | − | 0.367819i | ||||
\(335\) | −0.911027 | + | 0.438727i | −0.0497747 | + | 0.0239702i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.14108 | + | 2.47581i | 0.280052 | + | 0.134866i | 0.568638 | − | 0.822588i | \(-0.307471\pi\) |
−0.288585 | + | 0.957454i | \(0.593185\pi\) | |||||||
\(338\) | 3.87286 | − | 1.86507i | 0.210656 | − | 0.101446i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.40380 | − | 0.676036i | 0.0761319 | − | 0.0366632i | ||||
\(341\) | 9.90437 | + | 12.4197i | 0.536352 | + | 0.672564i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.84942 | − | 18.2997i | −0.153854 | − | 0.988094i | ||||
\(344\) | 12.1883 | 0.657148 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.51791 | + | 4.10201i | −0.457926 | + | 0.220525i | ||||
\(347\) | −2.08346 | + | 9.12823i | −0.111846 | + | 0.490029i | 0.887715 | + | 0.460394i | \(0.152292\pi\) |
−0.999561 | + | 0.0296354i | \(0.990565\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.9865 | − | 9.62499i | −1.06985 | − | 0.515214i | −0.185793 | − | 0.982589i | \(-0.559485\pi\) |
−0.884059 | + | 0.467375i | \(0.845200\pi\) | |||||||
\(350\) | 5.06811 | + | 2.58789i | 0.270902 | + | 0.138329i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −14.9537 | + | 18.7513i | −0.797034 | + | 0.999449i | ||||
\(353\) | −28.1253 | − | 13.5444i | −1.49696 | − | 0.720897i | −0.506959 | − | 0.861970i | \(-0.669230\pi\) |
−0.989999 | + | 0.141073i | \(0.954945\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.36878 | − | 5.99703i | −0.0726475 | − | 0.318289i | ||||
\(356\) | 6.71123 | + | 8.41562i | 0.355695 | + | 0.446027i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.54377 | − | 4.44374i | 0.187294 | − | 0.234859i | ||||
\(359\) | −7.69208 | − | 3.70431i | −0.405973 | − | 0.195506i | 0.219742 | − | 0.975558i | \(-0.429478\pi\) |
−0.625715 | + | 0.780052i | \(0.715193\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 41.8254 | 2.20134 | ||||||||
\(362\) | 2.12813 | 0.111852 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 9.65884 | + | 0.225194i | 0.506261 | + | 0.0118034i | ||||
\(365\) | −1.07614 | + | 4.71488i | −0.0563277 | + | 0.246788i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.8401 | + | 16.1009i | −0.670246 | + | 0.840462i | −0.994415 | − | 0.105537i | \(-0.966344\pi\) |
0.324169 | + | 0.945999i | \(0.394915\pi\) | |||||||
\(368\) | 4.72292 | − | 5.92235i | 0.246199 | − | 0.308724i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.177694 | + | 0.778529i | −0.00923788 | + | 0.0404738i | ||||
\(371\) | −5.97006 | + | 7.13834i | −0.309950 | + | 0.370604i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.23130 | −0.270867 | −0.135433 | − | 0.990786i | \(-0.543243\pi\) | ||||
−0.135433 | + | 0.990786i | \(0.543243\pi\) | |||||||
\(374\) | −2.59043 | −0.133948 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 13.9079 | + | 6.69767i | 0.717243 | + | 0.345406i | ||||
\(377\) | −13.8501 | + | 17.3675i | −0.713319 | + | 0.894473i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.5974 | − | 17.0506i | −0.698452 | − | 0.875831i | 0.298455 | − | 0.954424i | \(-0.403529\pi\) |
−0.996907 | + | 0.0785931i | \(0.974957\pi\) | |||||||
\(380\) | 2.48077 | + | 10.8690i | 0.127261 | + | 0.557566i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.993265 | + | 0.478331i | 0.0508199 | + | 0.0244736i | ||||
\(383\) | −8.80378 | + | 11.0396i | −0.449852 | + | 0.564097i | −0.954110 | − | 0.299456i | \(-0.903195\pi\) |
0.504258 | + | 0.863553i | \(0.331766\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.25090 | − | 8.22457i | −0.318575 | − | 0.419163i | ||||
\(386\) | −5.77691 | − | 2.78201i | −0.294037 | − | 0.141601i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.99259 | + | 17.4927i | −0.202693 | + | 0.888056i | ||||
\(389\) | −21.6718 | + | 10.4366i | −1.09881 | + | 0.529157i | −0.893283 | − | 0.449495i | \(-0.851604\pi\) |
−0.205523 | + | 0.978652i | \(0.565890\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.19526 | 0.161591 | ||||||||
\(392\) | 11.4682 | + | 6.19708i | 0.579232 | + | 0.313000i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 8.28815 | + | 10.3930i | 0.417551 | + | 0.523592i | ||||
\(395\) | 4.03371 | − | 1.94253i | 0.202958 | − | 0.0977394i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.3693 | − | 5.95674i | 0.620797 | − | 0.298960i | −0.0969230 | − | 0.995292i | \(-0.530900\pi\) |
0.717720 | + | 0.696332i | \(0.245186\pi\) | |||||||
\(398\) | 8.50828 | + | 4.09737i | 0.426482 | + | 0.205383i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 10.0942 | − | 4.86112i | 0.504711 | − | 0.243056i | ||||
\(401\) | 2.17712 | − | 2.73002i | 0.108720 | − | 0.136331i | −0.724494 | − | 0.689281i | \(-0.757927\pi\) |
0.833214 | + | 0.552950i | \(0.186498\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.30437 | + | 5.39752i | 0.214416 | + | 0.268869i | ||||
\(404\) | −4.39278 | − | 19.2460i | −0.218549 | − | 0.957526i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.7548 | + | 5.78011i | −0.633010 | + | 0.286862i | ||||
\(407\) | −5.89963 | + | 7.39790i | −0.292434 | + | 0.366700i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.53852 | − | 19.8845i | −0.224415 | − | 0.983227i | −0.954111 | − | 0.299455i | \(-0.903195\pi\) |
0.729695 | − | 0.683772i | \(-0.239662\pi\) | |||||||
\(410\) | −3.26017 | −0.161008 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.0134307 | + | 0.0588437i | 0.000661682 | + | 0.00289902i | ||||
\(413\) | −13.3412 | − | 17.5536i | −0.656477 | − | 0.863755i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.75152 | − | 7.67390i | 0.0859786 | − | 0.376697i | ||||
\(416\) | −6.49878 | + | 8.14921i | −0.318629 | + | 0.399548i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.12441 | − | 18.0702i | 0.201731 | − | 0.883842i | ||||
\(419\) | −7.12743 | + | 31.2273i | −0.348198 | + | 1.52555i | 0.433072 | + | 0.901359i | \(0.357430\pi\) |
−0.781270 | + | 0.624194i | \(0.785428\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.915710 | + | 4.01199i | 0.0446290 | + | 0.195532i | 0.992328 | − | 0.123633i | \(-0.0394546\pi\) |
−0.947699 | + | 0.319165i | \(0.896597\pi\) | |||||||
\(422\) | −0.493493 | −0.0240228 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.45748 | − | 6.38565i | −0.0707816 | − | 0.310115i | ||||
\(425\) | 4.25792 | + | 2.05051i | 0.206539 | + | 0.0994642i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.86895 | + | 15.2981i | −0.187232 | + | 0.740327i | ||||
\(428\) | 5.85742 | + | 7.34497i | 0.283129 | + | 0.355033i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.64988 | − | 2.06889i | −0.0795643 | − | 0.0997705i | ||||
\(431\) | 33.4595 | + | 16.1132i | 1.61169 | + | 0.776147i | 0.999889 | − | 0.0148684i | \(-0.00473292\pi\) |
0.611796 | + | 0.791015i | \(0.290447\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.7009 | + | 10.9322i | −1.09094 | + | 0.525368i | −0.890798 | − | 0.454399i | \(-0.849854\pi\) |
−0.200140 | + | 0.979767i | \(0.564140\pi\) | |||||||
\(434\) | 0.869252 | + | 4.26430i | 0.0417254 | + | 0.204693i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.9250 | − | 6.22436i | 0.618996 | − | 0.298093i | ||||
\(437\) | −5.08741 | + | 22.2894i | −0.243364 | + | 1.06625i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.8829 | + | 16.1546i | 0.614865 | + | 0.771016i | 0.987612 | − | 0.156917i | \(-0.0501555\pi\) |
−0.372747 | + | 0.927933i | \(0.621584\pi\) | |||||||
\(440\) | 7.27105 | 0.346634 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.12578 | −0.0535480 | ||||||||
\(443\) | 22.2856 | + | 27.9453i | 1.05882 | + | 1.32772i | 0.942387 | + | 0.334524i | \(0.108575\pi\) |
0.116436 | + | 0.993198i | \(0.462853\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.11302 | − | 4.87644i | 0.0527620 | − | 0.231165i | ||||
\(446\) | 4.26519 | − | 2.05401i | 0.201963 | − | 0.0972600i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.46945 | − | 2.93177i | 0.305653 | − | 0.138513i | ||||
\(449\) | −7.08769 | + | 3.41325i | −0.334489 | + | 0.161081i | −0.593587 | − | 0.804770i | \(-0.702289\pi\) |
0.259099 | + | 0.965851i | \(0.416575\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −34.8051 | − | 16.7613i | −1.63891 | − | 0.789257i | ||||
\(452\) | −15.5147 | − | 19.4548i | −0.729750 | − | 0.915078i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.96015 | + | 2.45795i | 0.0919943 | + | 0.115357i | ||||
\(455\) | −2.71660 | − | 3.57434i | −0.127356 | − | 0.167568i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 31.7115 | + | 15.2715i | 1.48340 | + | 0.714368i | 0.988023 | − | 0.154309i | \(-0.0493150\pi\) |
0.495379 | + | 0.868677i | \(0.335029\pi\) | |||||||
\(458\) | −2.05293 | − | 8.99447i | −0.0959271 | − | 0.420284i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.19041 | −0.195379 | ||||||||
\(461\) | 9.37727 | + | 41.0845i | 0.436743 | + | 1.91350i | 0.405768 | + | 0.913976i | \(0.367004\pi\) |
0.0309755 | + | 0.999520i | \(0.490139\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.93728 | + | 17.2504i | −0.182981 | + | 0.801692i | 0.797220 | + | 0.603688i | \(0.206303\pi\) |
−0.980201 | + | 0.198003i | \(0.936554\pi\) | |||||||
\(464\) | −6.13490 | + | 26.8788i | −0.284806 | + | 1.24782i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.29486 | − | 2.87766i | 0.106307 | − | 0.133305i | ||||
\(467\) | −5.66633 | + | 24.8258i | −0.262206 | + | 1.14880i | 0.656646 | + | 0.754199i | \(0.271975\pi\) |
−0.918852 | + | 0.394602i | \(0.870883\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.92343 | − | 1.49277i | −0.134992 | − | 0.0689298i | ||||
\(470\) | −0.745765 | − | 3.26741i | −0.0343996 | − | 0.150714i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 15.5185 | 0.714297 | ||||||||
\(473\) | −6.97729 | − | 30.5695i | −0.320816 | − | 1.40559i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −21.0832 | + | 26.4375i | −0.967363 | + | 1.21304i | ||||
\(476\) | 4.50473 | + | 2.30021i | 0.206474 | + | 0.105430i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.76847 | − | 12.1295i | −0.126627 | − | 0.554789i | ||||
\(479\) | 18.1918 | + | 22.8118i | 0.831203 | + | 1.04230i | 0.998410 | + | 0.0563737i | \(0.0179538\pi\) |
−0.167207 | + | 0.985922i | \(0.553475\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.56394 | + | 3.21508i | −0.116906 | + | 0.146595i | ||||
\(482\) | 4.03021 | − | 1.94085i | 0.183571 | − | 0.0884031i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 18.8856 | + | 9.09482i | 0.858436 | + | 0.413401i | ||||
\(485\) | 7.51192 | − | 3.61755i | 0.341099 | − | 0.164264i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.21830 | + | 2.99458i | −0.281778 | + | 0.135697i | −0.569435 | − | 0.822036i | \(-0.692838\pi\) |
0.287657 | + | 0.957734i | \(0.407124\pi\) | |||||||
\(488\) | −6.92484 | − | 8.68347i | −0.313473 | − | 0.393082i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.500492 | − | 2.78554i | −0.0226099 | − | 0.125838i | ||||
\(491\) | −7.47189 | −0.337202 | −0.168601 | − | 0.985684i | \(-0.553925\pi\) | ||||
−0.168601 | + | 0.985684i | \(0.553925\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.4778 | + | 5.04586i | −0.471898 | + | 0.227254i | ||||
\(494\) | 1.79244 | − | 7.85319i | 0.0806457 | − | 0.353332i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.71974 | + | 3.71763i | 0.346626 | + | 0.166926i | ||||
\(497\) | 12.8107 | − | 15.3176i | 0.574640 | − | 0.687090i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.3626 | − | 33.0576i | 1.18015 | − | 1.47986i | 0.337564 | − | 0.941302i | \(-0.390397\pi\) |
0.842587 | − | 0.538560i | \(-0.181032\pi\) | |||||||
\(500\) | −12.0235 | − | 5.79023i | −0.537709 | − | 0.258947i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.952180 | − | 4.17177i | −0.0424979 | − | 0.186195i | ||||
\(503\) | −4.63784 | − | 5.81567i | −0.206791 | − | 0.259308i | 0.667610 | − | 0.744511i | \(-0.267317\pi\) |
−0.874402 | + | 0.485203i | \(0.838746\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.71946 | + | 7.17198i | −0.254513 | + | 0.319149i | ||||
\(506\) | 6.27683 | + | 3.02276i | 0.279039 | + | 0.134378i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.99098 | 0.0883355 | ||||||||
\(509\) | −30.3188 | −1.34386 | −0.671928 | − | 0.740617i | \(-0.734534\pi\) | ||||
−0.671928 | + | 0.740617i | \(0.734534\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.2996 | + | 6.48015i | −0.632575 | + | 0.286665i | ||||
\(512\) | −5.02017 | + | 21.9948i | −0.221862 | + | 0.972043i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.451421 | + | 0.566064i | −0.0199113 | + | 0.0249680i | ||||
\(515\) | 0.0174869 | − | 0.0219279i | 0.000770567 | − | 0.000966260i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.83680 | − | 38.7166i | 0.388642 | − | 1.70275i | ||||
\(518\) | −2.36117 | + | 1.07001i | −0.103744 | + | 0.0470138i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.15995 | 0.138573 | ||||||||
\(521\) | 20.7854 | 0.910625 | 0.455312 | − | 0.890332i | \(-0.349528\pi\) | ||||
0.455312 | + | 0.890332i | \(0.349528\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.17478 | + | 1.52889i | 0.138823 | + | 0.0668538i | 0.502006 | − | 0.864864i | \(-0.332596\pi\) |
−0.363183 | + | 0.931718i | \(0.618310\pi\) | |||||||
\(524\) | 8.64117 | − | 10.8357i | 0.377491 | − | 0.473359i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.692166 | + | 0.867949i | 0.0301799 | + | 0.0378444i | ||||
\(527\) | 0.804246 | + | 3.52363i | 0.0350335 | + | 0.153492i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.9799 | + | 6.25078i | 0.564343 | + | 0.271773i | ||||
\(530\) | −0.886631 | + | 1.11180i | −0.0385128 | + | 0.0482935i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −23.2181 | + | 27.7616i | −1.00663 | + | 1.20362i | ||||
\(533\) | −15.1261 | − | 7.28434i | −0.655183 | − | 0.315520i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.971416 | − | 4.25605i | 0.0419980 | − | 0.184005i | ||||
\(536\) | 2.08159 | − | 1.00244i | 0.0899109 | − | 0.0432988i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.38492 | 0.0597082 | ||||||||
\(539\) | 8.97788 | − | 32.3111i | 0.386704 | − | 1.39174i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.14665 | − | 8.96161i | −0.307258 | − | 0.385290i | 0.604097 | − | 0.796911i | \(-0.293534\pi\) |
−0.911355 | + | 0.411621i | \(0.864963\pi\) | |||||||
\(542\) | −9.32827 | + | 4.49226i | −0.400684 | + | 0.192959i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.91642 | + | 2.36762i | −0.210790 | + | 0.101511i | ||||
\(545\) | −6.00604 | − | 2.89236i | −0.257271 | − | 0.123895i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.9504 | − | 14.4234i | 1.28059 | − | 0.616699i | 0.335047 | − | 0.942201i | \(-0.391248\pi\) |
0.945541 | + | 0.325503i | \(0.105534\pi\) | |||||||
\(548\) | 16.8018 | − | 21.0688i | 0.717737 | − | 0.900014i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.42453 | + | 8.05611i | 0.273943 | + | 0.343514i | ||||
\(551\) | −18.5162 | − | 81.1248i | −0.788817 | − | 3.45603i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.9439 | + | 6.60947i | 0.550433 | + | 0.281063i | ||||
\(554\) | 3.47148 | − | 4.35310i | 0.147489 | − | 0.184945i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.199696 | + | 0.874923i | 0.00846898 | + | 0.0371050i | ||||
\(557\) | 22.6314 | 0.958922 | 0.479461 | − | 0.877563i | \(-0.340832\pi\) | ||||
0.479461 | + | 0.877563i | \(0.340832\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.03229 | − | 13.2853i | −0.128252 | − | 0.561909i | ||||
\(560\) | −4.96250 | − | 2.53396i | −0.209704 | − | 0.107080i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.974282 | − | 4.26861i | 0.0410976 | − | 0.180060i | ||||
\(563\) | 11.1134 | − | 13.9358i | 0.468375 | − | 0.587323i | −0.490397 | − | 0.871499i | \(-0.663148\pi\) |
0.958772 | + | 0.284175i | \(0.0917198\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.57302 | + | 11.2731i | −0.108248 | + | 0.474264i | ||||
\(566\) | −3.28047 | + | 14.3727i | −0.137888 | + | 0.604129i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.12751 | + | 13.7025i | 0.131227 | + | 0.574944i | ||||
\(569\) | 1.61881 | 0.0678639 | 0.0339319 | − | 0.999424i | \(-0.489197\pi\) | ||||
0.0339319 | + | 0.999424i | \(0.489197\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.07719 | + | 26.6259i | 0.254322 | + | 1.11426i | 0.927218 | + | 0.374522i | \(0.122193\pi\) |
−0.672896 | + | 0.739737i | \(0.734950\pi\) | |||||||
\(572\) | 15.7618 | + | 7.59050i | 0.659036 | + | 0.317375i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.40397 | − | 8.42597i | −0.267297 | − | 0.351693i | ||||
\(575\) | −7.92459 | − | 9.93712i | −0.330478 | − | 0.414407i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.48245 | − | 3.11289i | −0.103346 | − | 0.129591i | 0.727469 | − | 0.686141i | \(-0.240696\pi\) |
−0.830815 | + | 0.556549i | \(0.812125\pi\) | |||||||
\(578\) | 7.06707 | + | 3.40332i | 0.293951 | + | 0.141559i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 13.7411 | − | 6.61737i | 0.570568 | − | 0.274771i | ||||
\(581\) | 23.2738 | − | 10.5470i | 0.965562 | − | 0.437565i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.1816 | + | 7.31106i | −0.628756 | + | 0.302793i | ||||
\(584\) | 2.45885 | − | 10.7729i | 0.101748 | − | 0.445787i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.94511 | + | 3.69305i | 0.121661 | + | 0.152558i | ||||
\(587\) | 22.4755 | 0.927662 | 0.463831 | − | 0.885924i | \(-0.346474\pi\) | ||||
0.463831 | + | 0.885924i | \(0.346474\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −25.8605 | −1.06556 | ||||||||
\(590\) | −2.10068 | − | 2.63417i | −0.0864837 | − | 0.108447i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.13569 | + | 4.97580i | −0.0466767 | + | 0.204504i | ||||
\(593\) | −11.3952 | + | 5.48764i | −0.467945 | + | 0.225350i | −0.652970 | − | 0.757383i | \(-0.726477\pi\) |
0.185026 | + | 0.982734i | \(0.440763\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.469456 | − | 2.30302i | −0.0192458 | − | 0.0944145i | ||||
\(596\) | −22.0935 | + | 10.6397i | −0.904986 | + | 0.435818i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.72787 | + | 1.31367i | 0.111551 | + | 0.0537201i | ||||
\(599\) | 13.7993 | + | 17.3037i | 0.563823 | + | 0.707012i | 0.979259 | − | 0.202611i | \(-0.0649426\pi\) |
−0.415436 | + | 0.909622i | \(0.636371\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.37281 | + | 6.73729i | 0.219161 | + | 0.274820i | 0.879242 | − | 0.476375i | \(-0.158049\pi\) |
−0.660081 | + | 0.751195i | \(0.729478\pi\) | |||||||
\(602\) | 2.10620 | − | 8.32807i | 0.0858424 | − | 0.339427i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −29.9333 | − | 14.4151i | −1.21797 | − | 0.586543i | ||||
\(605\) | −2.16745 | − | 9.49621i | −0.0881193 | − | 0.386076i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −32.9540 | −1.33756 | −0.668780 | − | 0.743460i | \(-0.733183\pi\) | ||||
−0.668780 | + | 0.743460i | \(0.733183\pi\) | |||||||
\(608\) | −8.68819 | − | 38.0655i | −0.352353 | − | 1.54376i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.536577 | + | 2.35090i | −0.0217254 | + | 0.0951851i | ||||
\(611\) | 3.84042 | − | 16.8260i | 0.155367 | − | 0.680706i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.36592 | + | 5.47469i | −0.176338 | + | 0.221121i | −0.862144 | − | 0.506664i | \(-0.830879\pi\) |
0.685806 | + | 0.727785i | \(0.259450\pi\) | |||||||
\(614\) | −3.63601 | + | 15.9304i | −0.146737 | + | 0.642898i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 14.2826 | + | 18.7922i | 0.575461 | + | 0.757158i | ||||
\(617\) | 0.0708000 | + | 0.310195i | 0.00285030 | + | 0.0124880i | 0.976333 | − | 0.216272i | \(-0.0693899\pi\) |
−0.973483 | + | 0.228760i | \(0.926533\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.8765 | −0.678322 | −0.339161 | − | 0.940728i | \(-0.610143\pi\) | ||||
−0.339161 | + | 0.940728i | \(0.610143\pi\) | |||||||
\(620\) | −1.05472 | − | 4.62104i | −0.0423587 | − | 0.185586i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.97887 | − | 2.48142i | 0.0793454 | − | 0.0994960i | ||||
\(623\) | 14.7895 | − | 6.70220i | 0.592531 | − | 0.268518i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.44407 | − | 15.0894i | −0.137763 | − | 0.603578i | ||||
\(626\) | −1.78425 | − | 2.23738i | −0.0713131 | − | 0.0894238i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 21.3765 | − | 26.8053i | 0.853015 | − | 1.06965i | ||||
\(629\) | −1.93966 | + | 0.934091i | −0.0773393 | + | 0.0372446i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.1532 | − | 12.1132i | −1.00133 | − | 0.482217i | −0.139943 | − | 0.990160i | \(-0.544692\pi\) |
−0.861391 | + | 0.507943i | \(0.830406\pi\) | |||||||
\(632\) | −9.21655 | + | 4.43846i | −0.366615 | + | 0.176552i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.76743 | − | 1.33272i | 0.109909 | − | 0.0529293i | ||||
\(635\) | −0.576838 | − | 0.723332i | −0.0228911 | − | 0.0287045i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.90173 | − | 14.0422i | 0.154592 | − | 0.556372i | ||||
\(638\) | −25.3563 | −1.00387 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.33017 | − | 4.01160i | 0.329279 | − | 0.158572i | ||||
\(641\) | −4.31012 | + | 18.8839i | −0.170240 | + | 0.745869i | 0.815660 | + | 0.578531i | \(0.196374\pi\) |
−0.985900 | + | 0.167337i | \(0.946483\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.03423 | − | 4.35065i | −0.356275 | − | 0.171573i | 0.247181 | − | 0.968969i | \(-0.420496\pi\) |
−0.603456 | + | 0.797396i | \(0.706210\pi\) | |||||||
\(644\) | −8.23124 | − | 10.8302i | −0.324356 | − | 0.426769i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.62930 | − | 3.29704i | 0.103448 | − | 0.129720i | ||||
\(647\) | −0.597503 | − | 0.287742i | −0.0234902 | − | 0.0113123i | 0.422102 | − | 0.906548i | \(-0.361292\pi\) |
−0.445592 | + | 0.895236i | \(0.647007\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.88371 | − | 38.9221i | −0.348716 | − | 1.52783i | ||||
\(650\) | 2.79206 | + | 3.50113i | 0.109514 | + | 0.137326i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −16.7453 | + | 20.9979i | −0.655796 | + | 0.822342i | ||||
\(653\) | −19.5544 | − | 9.41689i | −0.765221 | − | 0.368511i | 0.0102060 | − | 0.999948i | \(-0.496751\pi\) |
−0.775427 | + | 0.631437i | \(0.782466\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.44021 | −0.251640 | ||||||||
\(656\) | −20.8367 | −0.813536 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.97977 | − | 8.34564i | 0.272100 | − | 0.325347i | ||||
\(659\) | −1.71657 | + | 7.52080i | −0.0668682 | + | 0.292969i | −0.997294 | − | 0.0735104i | \(-0.976580\pi\) |
0.930426 | + | 0.366479i | \(0.119437\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.14393 | − | 6.45028i | 0.200076 | − | 0.250887i | −0.671664 | − | 0.740855i | \(-0.734420\pi\) |
0.871740 | + | 0.489969i | \(0.162992\pi\) | |||||||
\(662\) | −2.42325 | + | 3.03866i | −0.0941823 | + | 0.118101i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.00201 | + | 17.5340i | −0.155308 | + | 0.680449i | ||||
\(665\) | 16.8128 | + | 0.391986i | 0.651971 | + | 0.0152005i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 31.2768 | 1.21104 | ||||||||
\(668\) | −30.3989 | −1.17617 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.451935 | − | 0.217640i | −0.0174598 | − | 0.00840818i | ||||
\(671\) | −17.8149 | + | 22.3392i | −0.687737 | + | 0.862395i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.2700 | + | 34.1955i | 1.05118 | + | 1.31814i | 0.946171 | + | 0.323666i | \(0.104916\pi\) |
0.105009 | + | 0.994471i | \(0.466513\pi\) | |||||||
\(674\) | 0.629883 | + | 2.75970i | 0.0242622 | + | 0.106300i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.6929 | − | 6.59414i | −0.526649 | − | 0.253621i | ||||
\(677\) | 8.10949 | − | 10.1690i | 0.311673 | − | 0.390826i | −0.601180 | − | 0.799113i | \(-0.705303\pi\) |
0.912853 | + | 0.408288i | \(0.133874\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 24.1053 | + | 12.3087i | 0.925077 | + | 0.472365i | ||||
\(680\) | 1.49048 | + | 0.717779i | 0.0571575 | + | 0.0275256i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.75353 | + | 7.68272i | −0.0671461 | + | 0.294186i | ||||
\(683\) | −9.21676 | + | 4.43856i | −0.352669 | + | 0.169837i | −0.601827 | − | 0.798626i | \(-0.705560\pi\) |
0.249158 | + | 0.968463i | \(0.419846\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.5223 | −0.478452 | ||||||||
\(686\) | 6.21615 | − | 6.76517i | 0.237334 | − | 0.258295i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.5449 | − | 13.2228i | −0.402019 | − | 0.504116i | ||||
\(689\) | −6.59781 | + | 3.17734i | −0.251356 | + | 0.121047i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.3160 | − | 6.41263i | 0.506563 | − | 0.243948i | −0.163104 | − | 0.986609i | \(-0.552151\pi\) |
0.669668 | + | 0.742661i | \(0.266436\pi\) | |||||||
\(692\) | 30.1159 | + | 14.5031i | 1.14484 | + | 0.551324i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.18474 | + | 2.01527i | −0.158851 | + | 0.0764984i | ||||
\(695\) | 0.260006 | − | 0.326038i | 0.00986261 | − | 0.0123673i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.48003 | − | 6.87174i | −0.207571 | − | 0.260286i | ||||
\(698\) | −2.44874 | − | 10.7286i | −0.0926861 | − | 0.406084i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.01864 | − | 19.7143i | −0.151890 | − | 0.745130i | ||||
\(701\) | −7.16495 | + | 8.98456i | −0.270616 | + | 0.339342i | −0.898507 | − | 0.438959i | \(-0.855347\pi\) |
0.627890 | + | 0.778302i | \(0.283919\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.42772 | − | 15.0178i | −0.129279 | − | 0.566409i | ||||
\(704\) | 12.8612 | 0.484724 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.44590 | − | 15.0975i | −0.129688 | − | 0.568201i | ||||
\(707\) | −29.7709 | − | 0.694101i | −1.11965 | − | 0.0261044i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.27974 | + | 14.3695i | −0.123173 | + | 0.539657i | 0.875258 | + | 0.483657i | \(0.160692\pi\) |
−0.998431 | + | 0.0560000i | \(0.982165\pi\) | |||||||
\(710\) | 1.90256 | − | 2.38573i | 0.0714017 | − | 0.0895349i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.54311 | + | 11.1421i | −0.0953070 | + | 0.417567i | ||||
\(713\) | 2.16296 | − | 9.47655i | 0.0810035 | − | 0.354899i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.80894 | − | 7.92551i | −0.0676507 | − | 0.296397i | ||||
\(716\) | −20.0955 | −0.751004 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.942432 | − | 4.12906i | −0.0351712 | − | 0.154095i | ||||
\(719\) | −10.8617 | − | 5.23070i | −0.405071 | − | 0.195072i | 0.220243 | − | 0.975445i | \(-0.429315\pi\) |
−0.625314 | + | 0.780373i | \(0.715029\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0910229 | + | 0.00212218i | 0.00338987 | + | 7.90340e-5i | ||||
\(722\) | 12.9364 | + | 16.2218i | 0.481444 | + | 0.603712i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.69128 | − | 5.88267i | −0.174350 | − | 0.218628i | ||||
\(725\) | 41.6786 | + | 20.0713i | 1.54790 | + | 0.745431i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.3337 | − | 8.82904i | 0.679959 | − | 0.327451i | −0.0618279 | − | 0.998087i | \(-0.519693\pi\) |
0.741787 | + | 0.670636i | \(0.233979\pi\) | |||||||
\(728\) | 6.20711 | + | 8.16695i | 0.230051 | + | 0.302687i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.16149 | + | 1.04092i | −0.0800002 | + | 0.0385261i | ||||
\(731\) | 1.58748 | − | 6.95519i | 0.0587149 | − | 0.257247i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.6372 | − | 14.5926i | −0.429832 | − | 0.538992i | 0.519000 | − | 0.854774i | \(-0.326304\pi\) |
−0.948832 | + | 0.315782i | \(0.897733\pi\) | |||||||
\(734\) | −10.2160 | −0.377081 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 14.6757 | 0.540954 | ||||||||
\(737\) | −3.70586 | − | 4.64700i | −0.136507 | − | 0.171174i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.04720 | − | 22.1132i | 0.185664 | − | 0.813449i | −0.793204 | − | 0.608956i | \(-0.791588\pi\) |
0.978868 | − | 0.204493i | \(-0.0655544\pi\) | |||||||
\(740\) | 2.54376 | − | 1.22501i | 0.0935103 | − | 0.0450322i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.61508 | − | 0.107600i | −0.169425 | − | 0.00395011i | ||||
\(743\) | −7.28844 | + | 3.50993i | −0.267387 | + | 0.128767i | −0.562774 | − | 0.826611i | \(-0.690266\pi\) |
0.295387 | + | 0.955378i | \(0.404551\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.2665 | + | 4.94408i | 0.376135 | + | 0.181137i | ||||
\(746\) | −1.61802 | − | 2.02893i | −0.0592400 | − | 0.0742845i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.71036 | + | 7.16057i | 0.208792 | + | 0.261816i | ||||
\(749\) | 12.9080 | − | 5.84954i | 0.471648 | − | 0.213738i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.51328 | + | 1.21033i | 0.0917108 | + | 0.0441656i | 0.479177 | − | 0.877718i | \(-0.340935\pi\) |
−0.387466 | + | 0.921884i | \(0.626650\pi\) | |||||||
\(752\) | −4.76640 | − | 20.8830i | −0.173813 | − | 0.761523i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −11.0197 | −0.401314 | ||||||||
\(755\) | 3.43536 | + | 15.0513i | 0.125026 | + | 0.547773i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.59439 | − | 6.98550i | 0.0579492 | − | 0.253892i | −0.937653 | − | 0.347573i | \(-0.887006\pi\) |
0.995602 | + | 0.0936803i | \(0.0298632\pi\) | |||||||
\(758\) | 2.40737 | − | 10.5474i | 0.0874395 | − | 0.383097i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.38017 | + | 9.25444i | −0.267707 | + | 0.335694i | ||||
\(761\) | −1.18442 | + | 5.18929i | −0.0429352 | + | 0.188112i | −0.991848 | − | 0.127427i | \(-0.959328\pi\) |
0.948913 | + | 0.315539i | \(0.102185\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.32235 | − | 21.2042i | −0.156480 | − | 0.767644i | ||||
\(764\) | −0.867340 | − | 3.80007i | −0.0313793 | − | 0.137482i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7.00462 | −0.253087 | ||||||||
\(767\) | −3.86080 | − | 16.9153i | −0.139406 | − | 0.610776i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.30139 | − | 9.15565i | 0.263295 | − | 0.330161i | −0.632557 | − | 0.774514i | \(-0.717995\pi\) |
0.895852 | + | 0.444352i | \(0.146566\pi\) | |||||||
\(770\) | 1.25648 | − | 4.96820i | 0.0452804 | − | 0.179042i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.04452 | + | 22.1015i | 0.181556 | + | 0.795450i | ||||
\(773\) | −23.1847 | − | 29.0727i | −0.833895 | − | 1.04567i | −0.998242 | − | 0.0592688i | \(-0.981123\pi\) |
0.164347 | − | 0.986403i | \(-0.447448\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.96372 | − | 11.2401i | 0.321986 | − | 0.403758i | ||||
\(776\) | −17.1638 | + | 8.26567i | −0.616146 | + | 0.296720i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.7508 | − | 5.17731i | −0.385435 | − | 0.185616i | ||||
\(779\) | 56.6608 | − | 27.2864i | 2.03008 | − | 0.977637i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 32.5770 | − | 15.6883i | 1.16570 | − | 0.561370i | ||||
\(782\) | 0.988281 | + | 1.23927i | 0.0353409 | + | 0.0443160i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.19879 | − | 17.8031i | −0.114242 | − | 0.635827i | ||||
\(785\) | −15.9318 | −0.568630 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.3856 | + | 18.4856i | −1.36830 | + | 0.658939i | −0.966471 | − | 0.256776i | \(-0.917340\pi\) |
−0.401829 | + | 0.915715i | \(0.631625\pi\) | |||||||
\(788\) | 10.4583 | − | 45.8209i | 0.372562 | − | 1.63230i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.00101 | + | 0.963636i | 0.0711928 | + | 0.0342846i | ||||
\(791\) | −34.1898 | + | 15.4938i | −1.21565 | + | 0.550897i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.74225 | + | 9.70847i | −0.274935 | + | 0.344758i | ||||
\(794\) | 6.13606 | + | 2.95497i | 0.217761 | + | 0.104868i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −7.42961 | − | 32.5513i | −0.263336 | − | 1.15375i | ||||
\(797\) | 24.5798 | + | 30.8221i | 0.870662 | + | 1.09178i | 0.995034 | + | 0.0995399i | \(0.0317371\pi\) |
−0.124372 | + | 0.992236i | \(0.539691\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.63344 | − | 7.06412i | 0.199297 | − | 0.249910i | ||||
\(800\) | 19.5565 | + | 9.41789i | 0.691425 | + | 0.332973i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.73220 | 0.0611661 | ||||||||
\(803\) | −28.4273 | −1.00318 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.54985 | + | 6.12822i | −0.0546251 | + | 0.215991i | ||||
\(806\) | −0.762073 | + | 3.33886i | −0.0268429 | + | 0.117606i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 13.0683 | − | 16.3871i | 0.459741 | − | 0.576497i | ||||
\(809\) | −20.0972 | + | 25.2010i | −0.706579 | + | 0.886022i | −0.997496 | − | 0.0707267i | \(-0.977468\pi\) |
0.290917 | + | 0.956748i | \(0.406040\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.58766 | + | 20.0999i | −0.161095 | + | 0.705802i | 0.828268 | + | 0.560332i | \(0.189326\pi\) |
−0.989363 | + | 0.145470i | \(0.953531\pi\) | |||||||
\(812\) | 44.0944 | + | 22.5156i | 1.54741 | + | 0.790143i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.69397 | −0.164524 | ||||||||
\(815\) | 12.4802 | 0.437161 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 45.9902 | + | 22.1477i | 1.60899 | + | 0.774851i | ||||
\(818\) | 6.30837 | − | 7.91045i | 0.220567 | − | 0.276582i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.18676 | + | 9.01191i | 0.250972 | + | 0.314710i | ||||
\(821\) | −5.83792 | − | 25.5776i | −0.203745 | − | 0.892665i | −0.968632 | − | 0.248500i | \(-0.920062\pi\) |
0.764887 | − | 0.644165i | \(-0.222795\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.9295 | + | 18.7475i | 1.35700 | + | 0.653495i | 0.963965 | − | 0.266030i | \(-0.0857120\pi\) |
0.393032 | + | 0.919525i | \(0.371426\pi\) | |||||||
\(824\) | −0.0399556 | + | 0.0501027i | −0.00139192 | + | 0.00174541i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.68168 | − | 10.6036i | 0.0933077 | − | 0.368945i | ||||
\(827\) | 32.2737 | + | 15.5422i | 1.12227 | + | 0.540456i | 0.900592 | − | 0.434665i | \(-0.143133\pi\) |
0.221675 | + | 0.975121i | \(0.428847\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.313146 | + | 1.37198i | −0.0108760 | + | 0.0476509i | −0.980075 | − | 0.198629i | \(-0.936351\pi\) |
0.969199 | + | 0.246280i | \(0.0792083\pi\) | |||||||
\(830\) | 3.51802 | − | 1.69419i | 0.122112 | − | 0.0588061i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.58938 | 0.193777 | ||||||||
\(833\) | 5.03003 | − | 5.73714i | 0.174280 | − | 0.198780i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.80733 | + | 11.0440i | 0.304790 | + | 0.382195i | ||||
\(836\) | −59.0423 | + | 28.4333i | −2.04202 | + | 0.983385i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.3158 | + | 6.89414i | −0.494532 | + | 0.238154i | ||||
\(839\) | −32.2917 | − | 15.5509i | −1.11483 | − | 0.536876i | −0.216542 | − | 0.976273i | \(-0.569478\pi\) |
−0.898293 | + | 0.439397i | \(0.855192\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −76.4340 | + | 36.8087i | −2.63566 | + | 1.26927i | ||||
\(842\) | −1.27280 | + | 1.59604i | −0.0438637 | + | 0.0550033i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.08786 | + | 1.36413i | 0.0374457 | + | 0.0469554i | ||||
\(845\) | 1.57150 | + | 6.88517i | 0.0540611 | + | 0.236857i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.2856 | − | 24.2553i | 0.697022 | − | 0.833421i | ||||
\(848\) | −5.66671 | + | 7.10583i | −0.194596 | + | 0.244015i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.521679 | + | 2.28563i | 0.0178934 | + | 0.0783963i | ||||
\(851\) | 5.78996 | 0.198477 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.4139 | + | 54.3887i | 0.425043 | + | 1.86224i | 0.501493 | + | 0.865162i | \(0.332784\pi\) |
−0.0764498 | + | 0.997073i | \(0.524359\pi\) | |||||||
\(854\) | −7.12994 | + | 3.23109i | −0.243982 | + | 0.110566i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.21957 | + | 9.72458i | −0.0758634 | + | 0.332379i | ||||
\(857\) | 30.8107 | − | 38.6354i | 1.05247 | − | 1.31976i | 0.106928 | − | 0.994267i | \(-0.465899\pi\) |
0.945545 | − | 0.325492i | \(-0.105530\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.45591 | + | 23.9039i | −0.186153 | + | 0.815590i | 0.792467 | + | 0.609915i | \(0.208796\pi\) |
−0.978620 | + | 0.205675i | \(0.934061\pi\) | |||||||
\(860\) | −2.08189 | + | 9.12134i | −0.0709918 | + | 0.311035i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.09944 | + | 17.9608i | 0.139628 | + | 0.611749i | ||||
\(863\) | 14.7600 | 0.502438 | 0.251219 | − | 0.967930i | \(-0.419169\pi\) | ||||
0.251219 | + | 0.967930i | \(0.419169\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.45633 | − | 15.1432i | −0.117519 | − | 0.514883i | ||||
\(866\) | −11.2613 | − | 5.42316i | −0.382675 | − | 0.184286i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.87138 | − | 11.8031i | 0.335056 | − | 0.400623i | ||||
\(869\) | 16.4082 | + | 20.5753i | 0.556612 | + | 0.697969i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.61054 | − | 2.01955i | −0.0545711 | − | 0.0684300i | ||||
\(872\) | 13.7231 | + | 6.60870i | 0.464723 | + | 0.223799i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −10.2183 | + | 4.92089i | −0.345640 | + | 0.166452i | ||||
\(875\) | −12.9149 | + | 15.4422i | −0.436602 | + | 0.522040i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.14263 | − | 2.95814i | 0.207422 | − | 0.0998891i | −0.327289 | − | 0.944924i | \(-0.606135\pi\) |
0.534711 | + | 0.845035i | \(0.320421\pi\) | |||||||
\(878\) | −2.28086 | + | 9.99309i | −0.0769752 | + | 0.337251i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6.29065 | − | 7.88823i | −0.212058 | − | 0.265912i | ||||
\(881\) | −6.79163 | −0.228816 | −0.114408 | − | 0.993434i | \(-0.536497\pi\) | ||||
−0.114408 | + | 0.993434i | \(0.536497\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.5817 | 0.591670 | 0.295835 | − | 0.955239i | \(-0.404402\pi\) | ||||
0.295835 | + | 0.955239i | \(0.404402\pi\) | |||||||
\(884\) | 2.48169 | + | 3.11194i | 0.0834681 | + | 0.104666i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.94559 | + | 17.2867i | −0.132555 | + | 0.580760i | ||||
\(887\) | 43.7551 | − | 21.0713i | 1.46915 | − | 0.707506i | 0.483351 | − | 0.875427i | \(-0.339419\pi\) |
0.985801 | + | 0.167920i | \(0.0537052\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.736379 | − | 2.91169i | 0.0246973 | − | 0.0976550i | ||||
\(890\) | 2.23555 | − | 1.07659i | 0.0749359 | − | 0.0360872i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −15.0800 | − | 7.26215i | −0.504916 | − | 0.243155i | ||||
\(893\) | 40.3082 | + | 50.5449i | 1.34886 | + | 1.69142i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.82218 | + | 7.30078i | 0.194614 | + | 0.244038i | ||||
\(896\) | 26.7310 | + | 13.6495i | 0.893021 | + | 0.455997i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.51600 | − | 1.69322i | −0.117331 | − | 0.0565034i | ||||
\(899\) | 7.87234 | + | 34.4910i | 0.262557 | + | 1.15034i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.83378 | −0.127722 | ||||||||
\(902\) | −4.26431 | − | 18.6832i | −0.141986 | − | 0.622082i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.87904 | − | 25.7577i | 0.195534 | − | 0.856690i | ||||
\(905\) | −0.778018 | + | 3.40872i | −0.0258622 | + | 0.113310i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.3312 | − | 17.9707i | 0.475859 | − | 0.596709i | −0.484736 | − | 0.874661i | \(-0.661084\pi\) |
0.960595 | + | 0.277952i | \(0.0896557\pi\) | |||||||
\(908\) | 2.47340 | − | 10.8367i | 0.0820825 | − | 0.359627i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.546057 | − | 2.15915i | 0.0181016 | − | 0.0715751i | ||||
\(911\) | 3.13432 | + | 13.7324i | 0.103845 | + | 0.454974i | 0.999938 | + | 0.0111084i | \(0.00353600\pi\) |
−0.896094 | + | 0.443865i | \(0.853607\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 46.2681 | 1.53125 | ||||||||
\(914\) | 3.88528 | + | 17.0225i | 0.128514 | + | 0.563056i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −20.3374 | + | 25.5023i | −0.671967 | + | 0.842620i | ||||
\(917\) | −12.6505 | − | 16.6449i | −0.417758 | − | 0.549661i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.53244 | + | 28.6205i | 0.215485 | + | 0.944102i | 0.960768 | + | 0.277354i | \(0.0894574\pi\) |
−0.745283 | + | 0.666749i | \(0.767685\pi\) | |||||||
\(920\) | −2.77400 | − | 3.47849i | −0.0914561 | − | 0.114682i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −13.0341 | + | 16.3442i | −0.429254 | + | 0.538267i | ||||
\(923\) | 14.1578 | − | 6.81802i | 0.466008 | − | 0.224418i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.71554 | + | 3.71561i | 0.253686 | + | 0.122169i | ||||
\(926\) | −7.90824 | + | 3.80841i | −0.259881 | + | 0.125152i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −48.1243 | + | 23.1754i | −1.57976 | + | 0.760771i | ||||
\(929\) | 34.4742 | + | 43.2293i | 1.13106 | + | 1.41831i | 0.894715 | + | 0.446637i | \(0.147379\pi\) |
0.236346 | + | 0.971669i | \(0.424050\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 32.0123 | + | 44.2228i | 1.04916 | + | 1.44935i | ||||
\(932\) | −13.0134 | −0.426267 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11.3811 | + | 5.48086i | −0.372402 | + | 0.179339i | ||||
\(935\) | 0.947027 | − | 4.14920i | 0.0309711 | − | 0.135693i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.37609 | − | 1.14426i | −0.0776233 | − | 0.0373814i | 0.394669 | − | 0.918823i | \(-0.370859\pi\) |
−0.472293 | + | 0.881442i | \(0.656573\pi\) | |||||||
\(938\) | −0.325242 | − | 1.59555i | −0.0106195 | − | 0.0520964i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −7.38795 | + | 9.26419i | −0.240968 | + | 0.302165i | ||||
\(941\) | −44.0223 | − | 21.2000i | −1.43509 | − | 0.691101i | −0.455150 | − | 0.890415i | \(-0.650414\pi\) |
−0.979936 | + | 0.199314i | \(0.936129\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.25998 | + | 23.0455i | 0.171289 | + | 0.750465i | ||||
\(944\) | −13.4260 | − | 16.8357i | −0.436981 | − | 0.547956i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.69818 | − | 12.1611i | 0.315315 | − | 0.395393i | ||||
\(947\) | 14.4965 | + | 6.98113i | 0.471072 | + | 0.226856i | 0.654331 | − | 0.756208i | \(-0.272950\pi\) |
−0.183259 | + | 0.983065i | \(0.558665\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.3543 | −0.401038 | ||||||||
\(950\) | −16.7746 | −0.544239 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.07265 | + | 5.26212i | 0.0347648 | + | 0.170546i | ||||
\(953\) | 5.44008 | − | 23.8346i | 0.176222 | − | 0.772077i | −0.807131 | − | 0.590372i | \(-0.798981\pi\) |
0.983353 | − | 0.181706i | \(-0.0581618\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.12929 | + | 1.41608i | −0.0365429 | + | 0.0458234i | ||||
\(956\) | −27.4259 | + | 34.3910i | −0.887019 | + | 1.11229i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.22078 | + | 14.1112i | −0.104059 | + | 0.455911i | ||||
\(959\) | −24.5976 | − | 32.3641i | −0.794297 | − | 1.04509i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.0052 | −0.645328 | ||||||||
\(962\) | −2.03997 | −0.0657712 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.2492 | − | 6.86206i | −0.458936 | − | 0.221012i | ||||
\(965\) | 6.56804 | − | 8.23606i | 0.211433 | − | 0.265128i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.1339 | − | 25.2471i | −0.647463 | − | 0.811893i | 0.344451 | − | 0.938804i | \(-0.388065\pi\) |
−0.991914 | + | 0.126911i | \(0.959494\pi\) | |||||||
\(968\) | 4.95236 | + | 21.6977i | 0.159175 | + | 0.697391i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 3.72645 | + | 1.79457i | 0.119649 | + | 0.0576200i | ||||
\(971\) | 31.0779 | − | 38.9705i | 0.997338 | − | 1.25062i | 0.0293649 | − | 0.999569i | \(-0.490652\pi\) |
0.967973 | − | 0.251054i | \(-0.0807770\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.35338 | + | 0.0315538i | 0.0433875 | + | 0.00101157i | ||||
\(974\) | −3.08473 | − | 1.48553i | −0.0988410 | − | 0.0475993i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.42942 | + | 15.0253i | −0.109773 | + | 0.480947i | ||||
\(977\) | −38.3046 | + | 18.4465i | −1.22547 | + | 0.590156i | −0.930830 | − | 0.365451i | \(-0.880915\pi\) |
−0.294642 | + | 0.955608i | \(0.595200\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 29.4014 | 0.939673 | ||||||||
\(980\) | −6.59661 | + | 7.52394i | −0.210721 | + | 0.240344i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −2.31103 | − | 2.89793i | −0.0737478 | − | 0.0924768i | ||||
\(983\) | −40.6323 | + | 19.5675i | −1.29597 | + | 0.624106i | −0.949444 | − | 0.313935i | \(-0.898352\pi\) |
−0.346524 | + | 0.938041i | \(0.612638\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.6770 | + | 9.47593i | −0.626961 | + | 0.301928i | ||||
\(986\) | −5.19776 | − | 2.50311i | −0.165531 | − | 0.0797153i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −25.6594 | + | 12.3569i | −0.816334 | + | 0.393126i | ||||
\(989\) | −11.9626 | + | 15.0006i | −0.380389 | + | 0.476992i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.6218 | − | 17.0813i | −0.432712 | − | 0.542604i | 0.516894 | − | 0.856049i | \(-0.327088\pi\) |
−0.949606 | + | 0.313445i | \(0.898517\pi\) | |||||||
\(992\) | 3.69387 | + | 16.1839i | 0.117280 | + | 0.513839i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.90317 | + | 0.230890i | 0.314110 | + | 0.00732339i | ||||
\(995\) | −9.67346 | + | 12.1301i | −0.306669 | + | 0.384551i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.22013 | − | 14.1083i | −0.101983 | − | 0.446815i | −0.999977 | − | 0.00680784i | \(-0.997833\pi\) |
0.897994 | − | 0.440007i | \(-0.145024\pi\) | |||||||
\(998\) | 20.9751 | 0.663954 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.u.c.253.3 | 24 | ||
3.2 | odd | 2 | 147.2.i.a.106.2 | yes | 24 | ||
49.43 | even | 7 | inner | 441.2.u.c.190.3 | 24 | ||
147.71 | odd | 14 | 7203.2.a.a.1.6 | 12 | |||
147.92 | odd | 14 | 147.2.i.a.43.2 | ✓ | 24 | ||
147.125 | even | 14 | 7203.2.a.b.1.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.a.43.2 | ✓ | 24 | 147.92 | odd | 14 | ||
147.2.i.a.106.2 | yes | 24 | 3.2 | odd | 2 | ||
441.2.u.c.190.3 | 24 | 49.43 | even | 7 | inner | ||
441.2.u.c.253.3 | 24 | 1.1 | even | 1 | trivial | ||
7203.2.a.a.1.6 | 12 | 147.71 | odd | 14 | |||
7203.2.a.b.1.6 | 12 | 147.125 | even | 14 |