Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.12 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.12 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0103898 | − | 0.0123821i | 0.00734672 | − | 0.00875548i | −0.762359 | − | 0.647155i | \(-0.775959\pi\) |
0.769705 | + | 0.638399i | \(0.220403\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.347251 | + | 1.96936i | 0.173625 | + | 0.984679i | ||||
\(5\) | −3.05823 | + | 2.56616i | −1.36768 | + | 1.14762i | −0.394154 | + | 0.919045i | \(0.628962\pi\) |
−0.973526 | + | 0.228575i | \(0.926593\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.57348 | + | 0.614149i | −0.972686 | + | 0.232127i | ||||
\(8\) | 0.0559891 | + | 0.0323253i | 0.0197951 | + | 0.0114287i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0645293i | 0.0204059i | ||||||||
\(11\) | 3.31590 | − | 3.95174i | 0.999782 | − | 1.19149i | 0.0183214 | − | 0.999832i | \(-0.494168\pi\) |
0.981461 | − | 0.191662i | \(-0.0613878\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.220791 | − | 0.606618i | 0.0612364 | − | 0.168246i | −0.905301 | − | 0.424770i | \(-0.860355\pi\) |
0.966538 | + | 0.256524i | \(0.0825773\pi\) | |||||||
\(14\) | −0.0191336 | + | 0.0382461i | −0.00511367 | + | 0.0102217i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75730 | + | 1.36754i | −0.939324 | + | 0.341886i | ||||
\(17\) | −3.38766 | −0.821629 | −0.410815 | − | 0.911719i | \(-0.634756\pi\) | ||||
−0.410815 | + | 0.911719i | \(0.634756\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 0.379246i | − | 0.0870049i | −0.999053 | − | 0.0435025i | \(-0.986148\pi\) | ||
0.999053 | − | 0.0435025i | \(-0.0138516\pi\) | |||||||
\(20\) | −6.11565 | − | 5.13164i | −1.36750 | − | 1.14747i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0144792 | − | 0.0821158i | −0.00308698 | − | 0.0175072i | ||||
\(23\) | −0.344877 | + | 0.947543i | −0.0719119 | + | 0.197576i | −0.970441 | − | 0.241337i | \(-0.922414\pi\) |
0.898530 | + | 0.438913i | \(0.144636\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.89935 | − | 10.7717i | 0.379869 | − | 2.15434i | ||||
\(26\) | −0.00521724 | − | 0.00903653i | −0.00102318 | − | 0.00177221i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.10312 | − | 4.85485i | −0.397453 | − | 0.917480i | ||||
\(29\) | −1.97120 | − | 5.41582i | −0.366042 | − | 1.00569i | −0.976852 | − | 0.213916i | \(-0.931378\pi\) |
0.610810 | − | 0.791777i | \(-0.290844\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.35598 | + | 1.12073i | −1.14157 | + | 0.201289i | −0.712291 | − | 0.701884i | \(-0.752342\pi\) |
−0.429276 | + | 0.903173i | \(0.641231\pi\) | |||||||
\(32\) | −0.0663282 | + | 0.182235i | −0.0117253 | + | 0.0322150i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0351973 | + | 0.0419465i | −0.00603628 | + | 0.00719376i | ||||
\(35\) | 6.29429 | − | 8.48217i | 1.06393 | − | 1.43375i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.08407 | + | 5.34176i | −0.507018 | + | 0.878181i | 0.492949 | + | 0.870058i | \(0.335919\pi\) |
−0.999967 | + | 0.00812261i | \(0.997414\pi\) | |||||||
\(38\) | −0.00469587 | − | 0.00394030i | −0.000761770 | − | 0.000639201i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.254179 | + | 0.0448186i | −0.0401892 | + | 0.00708645i | ||||
\(41\) | 0.266252 | + | 0.0969077i | 0.0415816 | + | 0.0151344i | 0.362727 | − | 0.931895i | \(-0.381846\pi\) |
−0.321146 | + | 0.947030i | \(0.604068\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.45052 | + | 8.22633i | −0.221203 | + | 1.25450i | 0.648610 | + | 0.761121i | \(0.275351\pi\) |
−0.869812 | + | 0.493383i | \(0.835760\pi\) | |||||||
\(44\) | 8.93384 | + | 5.15796i | 1.34683 | + | 0.777591i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.00814938 | + | 0.0141151i | 0.00120156 | + | 0.00208116i | ||||
\(47\) | −1.27739 | + | 7.24446i | −0.186327 | + | 1.05671i | 0.737912 | + | 0.674897i | \(0.235812\pi\) |
−0.924239 | + | 0.381815i | \(0.875299\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.24564 | − | 3.16101i | 0.892235 | − | 0.451572i | ||||
\(50\) | −0.113643 | − | 0.135434i | −0.0160715 | − | 0.0191533i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.27132 | + | 0.224168i | 0.176300 | + | 0.0310865i | ||||
\(53\) | 1.71989 | + | 0.992981i | 0.236246 | + | 0.136396i | 0.613450 | − | 0.789734i | \(-0.289781\pi\) |
−0.377204 | + | 0.926130i | \(0.623115\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 20.5944i | 2.77695i | ||||||||
\(56\) | −0.163940 | − | 0.0488030i | −0.0219074 | − | 0.00652158i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.0875398 | − | 0.0318619i | −0.0114945 | − | 0.00418367i | ||||
\(59\) | 3.21846 | + | 1.17142i | 0.419007 | + | 0.152506i | 0.542915 | − | 0.839788i | \(-0.317321\pi\) |
−0.123908 | + | 0.992294i | \(0.539543\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.93400 | − | 1.39898i | −1.01584 | − | 0.179121i | −0.359152 | − | 0.933279i | \(-0.616934\pi\) |
−0.656692 | + | 0.754158i | \(0.728045\pi\) | |||||||
\(62\) | −0.0521605 | + | 0.0903447i | −0.00662439 | + | 0.0114738i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.99687 | − | 6.92277i | −0.499608 | − | 0.865347i | ||||
\(65\) | 0.881448 | + | 2.42176i | 0.109330 | + | 0.300382i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.23088 | − | 6.06743i | 0.883393 | − | 0.741255i | −0.0834809 | − | 0.996509i | \(-0.526604\pi\) |
0.966874 | + | 0.255255i | \(0.0821593\pi\) | |||||||
\(68\) | −1.17637 | − | 6.67152i | −0.142656 | − | 0.809041i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0396306 | − | 0.166065i | −0.00473676 | − | 0.0198486i | ||||
\(71\) | −8.57363 | + | 4.94999i | −1.01750 | + | 0.587456i | −0.913380 | − | 0.407109i | \(-0.866537\pi\) |
−0.104123 | + | 0.994564i | \(0.533204\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.13914 | + | 3.54444i | −0.718533 | + | 0.414845i | −0.814212 | − | 0.580567i | \(-0.802831\pi\) |
0.0956798 | + | 0.995412i | \(0.469498\pi\) | |||||||
\(74\) | 0.0340994 | + | 0.0936874i | 0.00396398 | + | 0.0108909i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.746871 | − | 0.131693i | 0.0856719 | − | 0.0151063i | ||||
\(77\) | −6.10647 | + | 12.2062i | −0.695896 | + | 1.39103i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.980903 | − | 0.823075i | −0.110360 | − | 0.0926032i | 0.585938 | − | 0.810356i | \(-0.300726\pi\) |
−0.696298 | + | 0.717753i | \(0.745171\pi\) | |||||||
\(80\) | 7.98133 | − | 13.8241i | 0.892340 | − | 1.54558i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.00396624 | − | 0.00228991i | 0.000437998 | − | 0.000252878i | ||||
\(83\) | −8.07527 | + | 2.93916i | −0.886376 | + | 0.322614i | −0.744780 | − | 0.667310i | \(-0.767446\pi\) |
−0.141596 | + | 0.989925i | \(0.545223\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.3602 | − | 8.69327i | 1.12373 | − | 0.942918i | ||||
\(86\) | 0.0867887 | + | 0.103431i | 0.00935867 | + | 0.0111532i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.313396 | − | 0.114067i | 0.0334081 | − | 0.0121595i | ||||
\(89\) | 5.35698 | 0.567839 | 0.283920 | − | 0.958848i | \(-0.408365\pi\) | ||||
0.283920 | + | 0.958848i | \(0.408365\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.195648 | + | 1.69672i | −0.0205095 | + | 0.177865i | ||||
\(92\) | −1.98581 | − | 0.350152i | −0.207035 | − | 0.0365059i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0764298 | + | 0.0910855i | 0.00788314 | + | 0.00939476i | ||||
\(95\) | 0.973203 | + | 1.15982i | 0.0998486 | + | 0.118995i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.39427 | + | 1.30381i | 0.750774 | + | 0.132382i | 0.535925 | − | 0.844265i | \(-0.319963\pi\) |
0.214849 | + | 0.976647i | \(0.431074\pi\) | |||||||
\(98\) | 0.0257512 | − | 0.110177i | 0.00260127 | − | 0.0111295i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 21.8729 | 2.18729 | ||||||||
\(101\) | −10.7151 | + | 3.89999i | −1.06620 | + | 0.388064i | −0.814753 | − | 0.579808i | \(-0.803127\pi\) |
−0.251443 | + | 0.967872i | \(0.580905\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.15395 | + | 7.33400i | 0.606367 | + | 0.722640i | 0.978663 | − | 0.205474i | \(-0.0658736\pi\) |
−0.372296 | + | 0.928114i | \(0.621429\pi\) | |||||||
\(104\) | 0.0319710 | − | 0.0268269i | 0.00313502 | − | 0.00263059i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0301646 | − | 0.0109790i | 0.00292985 | − | 0.00106638i | ||||
\(107\) | −12.0916 | + | 6.98107i | −1.16894 | + | 0.674885i | −0.953429 | − | 0.301617i | \(-0.902474\pi\) |
−0.215507 | + | 0.976502i | \(0.569140\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.912496 | − | 1.58049i | 0.0874012 | − | 0.151383i | −0.819011 | − | 0.573778i | \(-0.805477\pi\) |
0.906412 | + | 0.422395i | \(0.138810\pi\) | |||||||
\(110\) | 0.255003 | + | 0.213973i | 0.0243136 | + | 0.0204015i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.82947 | − | 5.82689i | 0.834306 | − | 0.550590i | ||||
\(113\) | −4.07591 | + | 0.718692i | −0.383429 | + | 0.0676089i | −0.362041 | − | 0.932162i | \(-0.617920\pi\) |
−0.0213886 | + | 0.999771i | \(0.506809\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.37683 | − | 3.78281i | −0.128390 | − | 0.352749i | ||||
\(116\) | 9.98120 | − | 5.76265i | 0.926731 | − | 0.535048i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.0479439 | − | 0.0276804i | 0.00441360 | − | 0.00254819i | ||||
\(119\) | 8.71810 | − | 2.08053i | 0.799187 | − | 0.190722i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.71090 | − | 15.3743i | −0.246446 | − | 1.39766i | ||||
\(122\) | −0.0997552 | + | 0.0837046i | −0.00903141 | + | 0.00757826i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.41424 | − | 12.1280i | −0.396410 | − | 1.08913i | ||||
\(125\) | 11.8527 | + | 20.5295i | 1.06014 | + | 1.83622i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.16383 | + | 5.47991i | −0.280744 | + | 0.486263i | −0.971568 | − | 0.236760i | \(-0.923915\pi\) |
0.690824 | + | 0.723023i | \(0.257248\pi\) | |||||||
\(128\) | −0.509214 | − | 0.0897883i | −0.0450086 | − | 0.00793624i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0391446 | + | 0.0142475i | 0.00343321 | + | 0.00124959i | ||||
\(131\) | −3.68789 | − | 1.34228i | −0.322212 | − | 0.117276i | 0.175850 | − | 0.984417i | \(-0.443733\pi\) |
−0.498062 | + | 0.867141i | \(0.665955\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.232913 | + | 0.975983i | 0.0201962 | + | 0.0846284i | ||||
\(134\) | − | 0.152573i | − | 0.0131803i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.189672 | − | 0.109507i | −0.0162643 | − | 0.00939017i | ||||
\(137\) | 6.38590 | + | 1.12601i | 0.545584 | + | 0.0962012i | 0.439645 | − | 0.898171i | \(-0.355104\pi\) |
0.105939 | + | 0.994373i | \(0.466215\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.60990 | + | 4.30212i | 0.306188 | + | 0.364901i | 0.897094 | − | 0.441840i | \(-0.145674\pi\) |
−0.590906 | + | 0.806740i | \(0.701230\pi\) | |||||||
\(140\) | 18.8901 | + | 9.45027i | 1.59651 | + | 0.798694i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.0277873 | + | 0.157589i | −0.00233185 | + | 0.0132246i | ||||
\(143\) | −1.66508 | − | 2.88400i | −0.139241 | − | 0.241172i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.9262 | + | 11.5044i | 1.65478 | + | 0.955389i | ||||
\(146\) | −0.0198970 | + | 0.112842i | −0.00164669 | + | 0.00933885i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.5908 | − | 4.21870i | −0.952757 | − | 0.346775i | ||||
\(149\) | 3.49363 | − | 0.616020i | 0.286209 | − | 0.0504664i | −0.0287006 | − | 0.999588i | \(-0.509137\pi\) |
0.314910 | + | 0.949122i | \(0.398026\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.2877 | − | 10.3106i | −0.999958 | − | 0.839065i | −0.0129798 | − | 0.999916i | \(-0.504132\pi\) |
−0.986979 | + | 0.160851i | \(0.948576\pi\) | |||||||
\(152\) | 0.0122592 | − | 0.0212336i | 0.000994355 | − | 0.00172227i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0876935 | + | 0.202431i | 0.00706654 | + | 0.0163124i | ||||
\(155\) | 16.5620 | − | 19.7379i | 1.33030 | − | 1.58538i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.09850 | − | 5.76559i | 0.167479 | − | 0.460144i | −0.827353 | − | 0.561683i | \(-0.810154\pi\) |
0.994832 | + | 0.101538i | \(0.0323765\pi\) | |||||||
\(158\) | −0.0203828 | + | 0.00359404i | −0.00162157 | + | 0.000285927i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.264798 | − | 0.727525i | −0.0209341 | − | 0.0575159i | ||||
\(161\) | 0.305604 | − | 2.65029i | 0.0240850 | − | 0.208872i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.58197 | − | 2.74005i | −0.123910 | − | 0.214618i | 0.797397 | − | 0.603456i | \(-0.206210\pi\) |
−0.921306 | + | 0.388838i | \(0.872877\pi\) | |||||||
\(164\) | −0.0983898 | + | 0.557997i | −0.00768296 | + | 0.0435722i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0475077 | + | 0.130526i | −0.00368731 | + | 0.0101308i | ||||
\(167\) | 1.33048 | + | 7.54555i | 0.102956 | + | 0.583892i | 0.992017 | + | 0.126104i | \(0.0402472\pi\) |
−0.889061 | + | 0.457788i | \(0.848642\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.63934 | + | 8.08837i | 0.741488 | + | 0.622182i | ||||
\(170\) | − | 0.218603i | − | 0.0167661i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −16.7043 | −1.27369 | ||||||||
\(173\) | −1.48665 | + | 0.541097i | −0.113028 | + | 0.0411388i | −0.397915 | − | 0.917422i | \(-0.630266\pi\) |
0.284887 | + | 0.958561i | \(0.408044\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.72751 | + | 28.8873i | 0.130587 | + | 2.18368i | ||||
\(176\) | −7.05465 | + | 19.3825i | −0.531765 | + | 1.46101i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.0556582 | − | 0.0663308i | 0.00417176 | − | 0.00497171i | ||||
\(179\) | 8.70775i | 0.650848i | 0.945568 | + | 0.325424i | \(0.105507\pi\) | ||||
−0.945568 | + | 0.325424i | \(0.894493\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.08680 | − | 0.627465i | −0.0807813 | − | 0.0466391i | 0.459065 | − | 0.888403i | \(-0.348184\pi\) |
−0.539847 | + | 0.841763i | \(0.681518\pi\) | |||||||
\(182\) | 0.0189763 | + | 0.0200512i | 0.00140661 | + | 0.00148629i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0499390 | + | 0.0419038i | −0.00368155 | + | 0.00308919i | ||||
\(185\) | −4.27602 | − | 24.2505i | −0.314379 | − | 1.78293i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.2332 | + | 13.3872i | −0.821450 | + | 0.978966i | ||||
\(188\) | −14.7105 | −1.07287 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0244724 | 0.00177542 | ||||||||
\(191\) | 5.70046 | − | 6.79355i | 0.412471 | − | 0.491564i | −0.519309 | − | 0.854586i | \(-0.673811\pi\) |
0.931780 | + | 0.363023i | \(0.118255\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.37792 | + | 24.8284i | 0.315129 | + | 1.78719i | 0.571493 | + | 0.820607i | \(0.306364\pi\) |
−0.256364 | + | 0.966580i | \(0.582524\pi\) | |||||||
\(194\) | 0.0929692 | − | 0.0780104i | 0.00667480 | − | 0.00560082i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.39396 | + | 11.2022i | 0.599568 | + | 0.800160i | ||||
\(197\) | 11.0546 | + | 6.38238i | 0.787608 | + | 0.454726i | 0.839120 | − | 0.543947i | \(-0.183071\pi\) |
−0.0515117 | + | 0.998672i | \(0.516404\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 20.3712i | − | 1.44408i | −0.691853 | − | 0.722038i | \(-0.743206\pi\) | ||
0.691853 | − | 0.722038i | \(-0.256794\pi\) | |||||||
\(200\) | 0.454542 | − | 0.541702i | 0.0321410 | − | 0.0383041i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.0630384 | + | 0.173196i | −0.00443536 | + | 0.0121861i | ||||
\(203\) | 8.39897 | + | 12.7269i | 0.589492 | + | 0.893255i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.06294 | + | 0.386878i | −0.0742388 | + | 0.0270207i | ||||
\(206\) | 0.154749 | 0.0107819 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.58119i | 0.178973i | ||||||||
\(209\) | −1.49868 | − | 1.25754i | −0.103666 | − | 0.0869860i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.149574 | − | 0.848277i | −0.0102971 | − | 0.0583978i | 0.979226 | − | 0.202771i | \(-0.0649946\pi\) |
−0.989523 | + | 0.144373i | \(0.953884\pi\) | |||||||
\(212\) | −1.35830 | + | 3.73190i | −0.0932885 | + | 0.256308i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.0391889 | + | 0.222251i | −0.00267890 | + | 0.0151928i | ||||
\(215\) | −16.6740 | − | 28.8802i | −1.13716 | − | 1.96962i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 15.6687 | − | 6.78770i | 1.06366 | − | 0.460779i | ||||
\(218\) | −0.0100891 | − | 0.0277197i | −0.000683322 | − | 0.00187741i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −40.5578 | + | 7.15144i | −2.73441 | + | 0.482150i | ||||
\(221\) | −0.747966 | + | 2.05502i | −0.0503136 | + | 0.138235i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.1302 | − | 12.0727i | 0.678367 | − | 0.808446i | −0.311530 | − | 0.950236i | \(-0.600841\pi\) |
0.989897 | + | 0.141790i | \(0.0452858\pi\) | |||||||
\(224\) | 0.0587750 | − | 0.509715i | 0.00392707 | − | 0.0340568i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.0334491 | + | 0.0579355i | −0.00222500 | + | 0.00385381i | ||||
\(227\) | −7.25051 | − | 6.08390i | −0.481233 | − | 0.403803i | 0.369639 | − | 0.929176i | \(-0.379481\pi\) |
−0.850872 | + | 0.525373i | \(0.823926\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.81290 | + | 0.319663i | −0.119800 | + | 0.0211240i | −0.233227 | − | 0.972422i | \(-0.574928\pi\) |
0.113427 | + | 0.993546i | \(0.463817\pi\) | |||||||
\(230\) | −0.0611442 | − | 0.0222547i | −0.00403173 | − | 0.00146743i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0647026 | − | 0.366947i | 0.00424793 | − | 0.0240912i | ||||
\(233\) | −9.13855 | − | 5.27615i | −0.598686 | − | 0.345652i | 0.169838 | − | 0.985472i | \(-0.445675\pi\) |
−0.768525 | + | 0.639820i | \(0.779009\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.6838 | − | 25.4332i | −0.957868 | − | 1.65908i | ||||
\(236\) | −1.18934 | + | 6.74507i | −0.0774193 | + | 0.439067i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0648182 | − | 0.129565i | 0.00420154 | − | 0.00839845i | ||||
\(239\) | 3.07353 | + | 3.66289i | 0.198810 | + | 0.236933i | 0.856234 | − | 0.516588i | \(-0.172798\pi\) |
−0.657424 | + | 0.753521i | \(0.728354\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.59483 | − | 1.51550i | −0.553642 | − | 0.0976219i | −0.110174 | − | 0.993912i | \(-0.535141\pi\) |
−0.443468 | + | 0.896290i | \(0.646252\pi\) | |||||||
\(242\) | −0.218532 | − | 0.126170i | −0.0140478 | − | 0.00811049i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 16.1107i | − | 1.03138i | ||||||
\(245\) | −10.9889 | + | 25.6944i | −0.702058 | + | 1.64155i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.230057 | − | 0.0837340i | −0.0146382 | − | 0.00532787i | ||||
\(248\) | −0.392093 | − | 0.142710i | −0.0248980 | − | 0.00906211i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.377347 | + | 0.0665364i | 0.0238655 | + | 0.00420813i | ||||
\(251\) | 5.48464 | − | 9.49967i | 0.346187 | − | 0.599614i | −0.639382 | − | 0.768890i | \(-0.720810\pi\) |
0.985569 | + | 0.169276i | \(0.0541429\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.60086 | + | 4.50483i | 0.163515 | + | 0.283216i | ||||
\(254\) | 0.0349813 | + | 0.0961103i | 0.00219492 | + | 0.00603049i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2407 | − | 10.2712i | 0.765044 | − | 0.641948i | ||||
\(257\) | −2.22842 | − | 12.6380i | −0.139005 | − | 0.788337i | −0.971987 | − | 0.235036i | \(-0.924479\pi\) |
0.832982 | − | 0.553301i | \(-0.186632\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.65616 | − | 15.6410i | 0.289320 | − | 0.971886i | ||||
\(260\) | −4.46323 | + | 2.57685i | −0.276798 | + | 0.159809i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.0549368 | + | 0.0317178i | −0.00339401 | + | 0.00195953i | ||||
\(263\) | −0.846006 | − | 2.32438i | −0.0521670 | − | 0.143328i | 0.910872 | − | 0.412688i | \(-0.135410\pi\) |
−0.963039 | + | 0.269360i | \(0.913188\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −7.80796 | + | 1.37675i | −0.479639 | + | 0.0845734i | ||||
\(266\) | 0.0145047 | + | 0.00725634i | 0.000889338 | + | 0.000444915i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.4599 | + | 12.1333i | 0.883278 | + | 0.741158i | ||||
\(269\) | −13.2754 | + | 22.9936i | −0.809413 | + | 1.40195i | 0.103858 | + | 0.994592i | \(0.466881\pi\) |
−0.913271 | + | 0.407353i | \(0.866452\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.4414 | + | 10.0698i | −1.05949 | + | 0.611698i | −0.925292 | − | 0.379257i | \(-0.876180\pi\) |
−0.134200 | + | 0.990954i | \(0.542846\pi\) | |||||||
\(272\) | 12.7285 | − | 4.63278i | 0.771776 | − | 0.280904i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.0802908 | − | 0.0673720i | 0.00485054 | − | 0.00407009i | ||||
\(275\) | −36.2690 | − | 43.2237i | −2.18710 | − | 2.60649i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.9953 | − | 8.00564i | 1.32157 | − | 0.481012i | 0.417609 | − | 0.908627i | \(-0.362868\pi\) |
0.903961 | + | 0.427615i | \(0.140646\pi\) | |||||||
\(278\) | 0.0907756 | 0.00544436 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.626600 | − | 0.271444i | 0.0374465 | − | 0.0162219i | ||||
\(281\) | −8.66178 | − | 1.52731i | −0.516719 | − | 0.0911114i | −0.0907933 | − | 0.995870i | \(-0.528940\pi\) |
−0.425925 | + | 0.904758i | \(0.640051\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 19.1846 | + | 22.8633i | 1.14041 | + | 1.35908i | 0.923823 | + | 0.382821i | \(0.125047\pi\) |
0.216585 | + | 0.976264i | \(0.430508\pi\) | |||||||
\(284\) | −12.7255 | − | 15.1657i | −0.755120 | − | 0.899917i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0530099 | − | 0.00934707i | −0.00313454 | − | 0.000552704i | ||||
\(287\) | −0.744711 | − | 0.0858722i | −0.0439589 | − | 0.00506888i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.52374 | −0.324926 | ||||||||
\(290\) | 0.349479 | − | 0.127200i | 0.0205221 | − | 0.00746944i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.11209 | − | 10.8594i | −0.533245 | − | 0.635496i | ||||
\(293\) | 1.70777 | − | 1.43299i | 0.0997691 | − | 0.0837162i | −0.591539 | − | 0.806277i | \(-0.701479\pi\) |
0.691308 | + | 0.722560i | \(0.257035\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.8488 | + | 4.67659i | −0.748087 | + | 0.272281i | ||||
\(296\) | −0.345348 | + | 0.199387i | −0.0200730 | + | 0.0115891i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.0286706 | − | 0.0496589i | 0.00166084 | − | 0.00287666i | ||||
\(299\) | 0.498651 | + | 0.418418i | 0.0288377 | + | 0.0241977i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.31929 | − | 22.0612i | −0.0760428 | − | 1.27158i | ||||
\(302\) | −0.255334 | + | 0.0450223i | −0.0146928 | + | 0.00259074i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.518635 | + | 1.42494i | 0.0297458 | + | 0.0817258i | ||||
\(305\) | 27.8539 | − | 16.0815i | 1.59491 | − | 0.920823i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.9614 | + | 7.48325i | −0.739744 | + | 0.427091i | −0.821976 | − | 0.569522i | \(-0.807128\pi\) |
0.0822321 | + | 0.996613i | \(0.473795\pi\) | |||||||
\(308\) | −26.1589 | − | 7.78721i | −1.49054 | − | 0.443717i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0723199 | − | 0.410146i | −0.00410749 | − | 0.0232948i | ||||
\(311\) | 3.46916 | − | 2.91097i | 0.196718 | − | 0.165066i | −0.539108 | − | 0.842237i | \(-0.681239\pi\) |
0.735826 | + | 0.677171i | \(0.236794\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.15956 | + | 11.4283i | 0.235112 | + | 0.645965i | 0.999998 | + | 0.00179989i | \(0.000572922\pi\) |
−0.764886 | + | 0.644165i | \(0.777205\pi\) | |||||||
\(314\) | −0.0495872 | − | 0.0858875i | −0.00279836 | − | 0.00484691i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.28031 | − | 2.21756i | 0.0720231 | − | 0.124748i | ||||
\(317\) | 33.4798 | + | 5.90340i | 1.88041 | + | 0.331568i | 0.991873 | − | 0.127230i | \(-0.0406087\pi\) |
0.888541 | + | 0.458798i | \(0.151720\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −27.9382 | − | 10.1687i | −1.56424 | − | 0.569337i | ||||
\(320\) | 29.9882 | + | 10.9148i | 1.67639 | + | 0.610157i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0296411 | − | 0.0313201i | −0.00165183 | − | 0.00174540i | ||||
\(323\) | 1.28476i | 0.0714858i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.11497 | − | 3.53048i | −0.339197 | − | 0.195836i | ||||
\(326\) | −0.0503641 | − | 0.00888055i | −0.00278941 | − | 0.000491848i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.0117746 | + | 0.0140325i | 0.000650145 | + | 0.000774813i | ||||
\(329\) | −1.16183 | − | 19.4280i | −0.0640535 | − | 1.07110i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.78063 | + | 32.7836i | −0.317732 | + | 1.80195i | 0.238743 | + | 0.971083i | \(0.423265\pi\) |
−0.556475 | + | 0.830864i | \(0.687846\pi\) | |||||||
\(332\) | −8.59240 | − | 14.8825i | −0.471569 | − | 0.816782i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.107253 | + | 0.0619228i | 0.00586865 | + | 0.00338826i | ||||
\(335\) | −6.54370 | + | 37.1111i | −0.357520 | + | 2.02760i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −26.0769 | − | 9.49121i | −1.42050 | − | 0.517019i | −0.486306 | − | 0.873789i | \(-0.661656\pi\) |
−0.934192 | + | 0.356770i | \(0.883878\pi\) | |||||||
\(338\) | 0.200302 | − | 0.0353187i | 0.0108950 | − | 0.00192108i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 20.7178 | + | 17.3843i | 1.12358 | + | 0.942794i | ||||
\(341\) | −16.6470 | + | 28.8334i | −0.901484 | + | 1.56142i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.1317 | + | 11.9706i | −0.763042 | + | 0.646349i | ||||
\(344\) | −0.347132 | + | 0.413696i | −0.0187161 | + | 0.0223050i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.00874614 | + | 0.0240298i | −0.000470195 | + | 0.00129185i | ||||
\(347\) | 12.0266 | − | 2.12061i | 0.645620 | − | 0.113840i | 0.158756 | − | 0.987318i | \(-0.449252\pi\) |
0.486864 | + | 0.873478i | \(0.338141\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.80673 | + | 10.4589i | 0.203770 | + | 0.559853i | 0.998915 | − | 0.0465660i | \(-0.0148278\pi\) |
−0.795145 | + | 0.606419i | \(0.792606\pi\) | |||||||
\(350\) | 0.375635 | + | 0.278744i | 0.0200785 | + | 0.0148995i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.500209 | + | 0.866387i | 0.0266612 | + | 0.0461786i | ||||
\(353\) | 3.40999 | − | 19.3390i | 0.181496 | − | 1.02931i | −0.748880 | − | 0.662706i | \(-0.769408\pi\) |
0.930376 | − | 0.366608i | \(-0.119481\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.5177 | − | 37.1395i | 0.717443 | − | 1.97116i | ||||
\(356\) | 1.86022 | + | 10.5498i | 0.0985913 | + | 0.559139i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.107820 | + | 0.0904721i | 0.00569849 | + | 0.00478160i | ||||
\(359\) | 30.0037i | 1.58354i | 0.610821 | + | 0.791768i | \(0.290839\pi\) | ||||
−0.610821 | + | 0.791768i | \(0.709161\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.8562 | 0.992430 | ||||||||
\(362\) | −0.0190610 | + | 0.00693765i | −0.00100183 | + | 0.000364635i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.40939 | + | 0.203887i | −0.178701 | + | 0.0106866i | ||||
\(365\) | 9.67931 | − | 26.5937i | 0.506638 | − | 1.39198i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.0174386 | − | 0.0207825i | 0.000910286 | − | 0.00108484i | −0.765589 | − | 0.643330i | \(-0.777552\pi\) |
0.766499 | + | 0.642245i | \(0.221997\pi\) | |||||||
\(368\) | − | 4.03184i | − | 0.210174i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.344700 | − | 0.199013i | −0.0179201 | − | 0.0103462i | ||||
\(371\) | −5.03596 | − | 1.49915i | −0.261454 | − | 0.0778320i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.5425 | + | 18.0763i | −1.11543 | + | 0.935957i | −0.998365 | − | 0.0571672i | \(-0.981793\pi\) |
−0.117066 | + | 0.993124i | \(0.537349\pi\) | |||||||
\(374\) | 0.0490508 | + | 0.278181i | 0.00253636 | + | 0.0143844i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.305699 | + | 0.364318i | −0.0157652 | + | 0.0187883i | ||||
\(377\) | −3.72056 | −0.191619 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.592745 | 0.0304473 | 0.0152236 | − | 0.999884i | \(-0.495154\pi\) | ||||
0.0152236 | + | 0.999884i | \(0.495154\pi\) | |||||||
\(380\) | −1.94615 | + | 2.31933i | −0.0998355 | + | 0.118979i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.0248917 | − | 0.141168i | −0.00127357 | − | 0.00722276i | ||||
\(383\) | 8.98969 | − | 7.54325i | 0.459352 | − | 0.385442i | −0.383541 | − | 0.923524i | \(-0.625295\pi\) |
0.842892 | + | 0.538082i | \(0.180851\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.6481 | − | 52.9994i | −0.644604 | − | 2.70110i | ||||
\(386\) | 0.352914 | + | 0.203755i | 0.0179629 | + | 0.0103709i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 15.0147i | 0.762257i | ||||||||
\(389\) | 9.84805 | − | 11.7364i | 0.499316 | − | 0.595062i | −0.456245 | − | 0.889854i | \(-0.650806\pi\) |
0.955561 | + | 0.294792i | \(0.0952505\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.16833 | − | 3.20996i | 0.0590849 | − | 0.162335i | ||||
\(392\) | 0.451868 | + | 0.0249105i | 0.0228228 | + | 0.00125817i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.193883 | − | 0.0705676i | 0.00976768 | − | 0.00355515i | ||||
\(395\) | 5.11196 | 0.257211 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.7982i | 1.14421i | 0.820181 | + | 0.572104i | \(0.193873\pi\) | ||||
−0.820181 | + | 0.572104i | \(0.806127\pi\) | |||||||
\(398\) | −0.252239 | − | 0.211653i | −0.0126436 | − | 0.0106092i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.59440 | + | 43.0700i | 0.379720 | + | 2.15350i | ||||
\(401\) | 1.00298 | − | 2.75565i | 0.0500862 | − | 0.137611i | −0.912127 | − | 0.409907i | \(-0.865561\pi\) |
0.962213 | + | 0.272297i | \(0.0877832\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.723487 | + | 4.10310i | −0.0360395 | + | 0.204390i | ||||
\(404\) | −11.4013 | − | 19.7477i | −0.567237 | − | 0.982483i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.244850 | + | 0.0282336i | 0.0121517 | + | 0.00140121i | ||||
\(407\) | 10.8828 | + | 29.9002i | 0.539440 | + | 1.48210i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.8273 | − | 3.49609i | 0.980398 | − | 0.172871i | 0.339591 | − | 0.940573i | \(-0.389711\pi\) |
0.640806 | + | 0.767702i | \(0.278600\pi\) | |||||||
\(410\) | −0.00625338 | + | 0.0171810i | −0.000308833 | + | 0.000848511i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.3063 | + | 14.6661i | −0.606288 | + | 0.722546i | ||||
\(413\) | −9.00207 | − | 1.03802i | −0.442963 | − | 0.0510778i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.1537 | − | 29.7110i | 0.842040 | − | 1.45846i | ||||
\(416\) | 0.0959026 | + | 0.0804718i | 0.00470201 | + | 0.00394546i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0311421 | + | 0.00549119i | −0.00152321 | + | 0.000268583i | ||||
\(419\) | −13.5738 | − | 4.94048i | −0.663126 | − | 0.241358i | −0.0115404 | − | 0.999933i | \(-0.503674\pi\) |
−0.651585 | + | 0.758575i | \(0.725896\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.54410 | − | 8.75701i | 0.0752547 | − | 0.426791i | −0.923782 | − | 0.382918i | \(-0.874919\pi\) |
0.999037 | − | 0.0438728i | \(-0.0139696\pi\) | |||||||
\(422\) | −0.0120575 | − | 0.00696141i | −0.000586951 | − | 0.000338876i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.0641968 | + | 0.111192i | 0.00311767 | + | 0.00539997i | ||||
\(425\) | −6.43434 | + | 36.4910i | −0.312111 | + | 1.77007i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 21.2772 | − | 1.27241i | 1.02968 | − | 0.0615762i | ||||
\(428\) | −17.9470 | − | 21.3884i | −0.867503 | − | 1.03385i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.530839 | − | 0.0936012i | −0.0255993 | − | 0.00451385i | ||||
\(431\) | −27.2881 | − | 15.7548i | −1.31442 | − | 0.758881i | −0.331595 | − | 0.943422i | \(-0.607587\pi\) |
−0.982825 | + | 0.184541i | \(0.940920\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 35.8271i | − | 1.72174i | −0.508824 | − | 0.860870i | \(-0.669920\pi\) | ||
0.508824 | − | 0.860870i | \(-0.330080\pi\) | |||||||
\(434\) | 0.0787492 | − | 0.264535i | 0.00378008 | − | 0.0126981i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.42941 | + | 1.24820i | 0.164239 | + | 0.0597782i | ||||
\(437\) | 0.359352 | + | 0.130793i | 0.0171901 | + | 0.00625669i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −35.6506 | − | 6.28616i | −1.70151 | − | 0.300022i | −0.763288 | − | 0.646058i | \(-0.776416\pi\) |
−0.938221 | + | 0.346036i | \(0.887528\pi\) | |||||||
\(440\) | −0.665722 | + | 1.15306i | −0.0317370 | + | 0.0549701i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0176743 | + | 0.0306127i | 0.000840678 | + | 0.00145610i | ||||
\(443\) | 8.20728 | + | 22.5493i | 0.389940 | + | 1.07135i | 0.967028 | + | 0.254669i | \(0.0819665\pi\) |
−0.577089 | + | 0.816682i | \(0.695811\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −16.3829 | + | 13.7469i | −0.776622 | + | 0.651663i | ||||
\(446\) | −0.0442345 | − | 0.250866i | −0.00209456 | − | 0.0118789i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 14.5375 | + | 15.3610i | 0.686832 | + | 0.725738i | ||||
\(449\) | 27.8837 | − | 16.0987i | 1.31591 | − | 0.759743i | 0.332845 | − | 0.942981i | \(-0.391991\pi\) |
0.983069 | + | 0.183238i | \(0.0586580\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.26582 | − | 0.730821i | 0.0596051 | − | 0.0344130i | ||||
\(452\) | −2.83073 | − | 7.77736i | −0.133146 | − | 0.365816i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.150663 | + | 0.0265660i | −0.00707098 | + | 0.00124680i | ||||
\(455\) | −3.75571 | − | 5.69102i | −0.176071 | − | 0.266799i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.847636 | + | 0.711251i | 0.0396507 | + | 0.0332709i | 0.662398 | − | 0.749152i | \(-0.269539\pi\) |
−0.622747 | + | 0.782423i | \(0.713983\pi\) | |||||||
\(458\) | −0.0148776 | + | 0.0257688i | −0.000695186 | + | 0.00120410i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.97160 | − | 4.02506i | 0.325053 | − | 0.187669i | ||||
\(461\) | 19.7443 | − | 7.18634i | 0.919584 | − | 0.334701i | 0.161511 | − | 0.986871i | \(-0.448363\pi\) |
0.758073 | + | 0.652170i | \(0.226141\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.5556 | + | 14.7309i | −0.815876 | + | 0.684601i | −0.952003 | − | 0.306090i | \(-0.900979\pi\) |
0.136126 | + | 0.990691i | \(0.456535\pi\) | |||||||
\(464\) | 14.8128 | + | 17.6532i | 0.687665 | + | 0.819527i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.160278 | + | 0.0583364i | −0.00742473 | + | 0.00270238i | ||||
\(467\) | −34.0177 | −1.57415 | −0.787076 | − | 0.616855i | \(-0.788406\pi\) | ||||
−0.787076 | + | 0.616855i | \(0.788406\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.8823 | + | 20.0553i | −0.687199 | + | 0.926067i | ||||
\(470\) | −0.467479 | − | 0.0824292i | −0.0215632 | − | 0.00380218i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.142332 | + | 0.169624i | 0.00655135 | + | 0.00780760i | ||||
\(473\) | 27.6985 | + | 33.0098i | 1.27358 | + | 1.51779i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.08513 | − | 0.720319i | −0.187439 | − | 0.0330505i | ||||
\(476\) | 7.12468 | + | 16.4466i | 0.326559 | + | 0.753828i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.0772879 | 0.00353507 | ||||||||
\(479\) | 35.7900 | − | 13.0265i | 1.63529 | − | 0.595195i | 0.649080 | − | 0.760720i | \(-0.275154\pi\) |
0.986206 | + | 0.165525i | \(0.0529317\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.55948 | + | 3.05027i | 0.116702 | + | 0.139080i | ||||
\(482\) | −0.108064 | + | 0.0906764i | −0.00492218 | + | 0.00413020i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 29.3361 | − | 10.6775i | 1.33346 | − | 0.485340i | ||||
\(485\) | −25.9591 | + | 14.9875i | −1.17874 | + | 0.680548i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.4173 | − | 18.0433i | 0.472053 | − | 0.817619i | −0.527436 | − | 0.849595i | \(-0.676847\pi\) |
0.999489 | + | 0.0319755i | \(0.0101799\pi\) | |||||||
\(488\) | −0.398995 | − | 0.334796i | −0.0180616 | − | 0.0151555i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.203977 | + | 0.403027i | 0.00921476 | + | 0.0182069i | ||||
\(491\) | −2.73237 | + | 0.481790i | −0.123310 | + | 0.0217429i | −0.234962 | − | 0.972004i | \(-0.575497\pi\) |
0.111653 | + | 0.993747i | \(0.464386\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.67776 | + | 18.3470i | 0.300751 | + | 0.826307i | ||||
\(494\) | −0.00342706 | + | 0.00197862i | −0.000154191 | + | 8.90221e-5i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 22.3486 | − | 12.9030i | 1.00348 | − | 0.579362i | ||||
\(497\) | 19.0241 | − | 18.0042i | 0.853347 | − | 0.807599i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.706689 | − | 4.00783i | −0.0316358 | − | 0.179415i | 0.964896 | − | 0.262634i | \(-0.0845911\pi\) |
−0.996531 | + | 0.0832186i | \(0.973480\pi\) | |||||||
\(500\) | −36.3141 | + | 30.4711i | −1.62402 | + | 1.36271i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.0606416 | − | 0.166611i | −0.00270657 | − | 0.00743623i | ||||
\(503\) | −20.5736 | − | 35.6344i | −0.917329 | − | 1.58886i | −0.803455 | − | 0.595366i | \(-0.797007\pi\) |
−0.113875 | − | 0.993495i | \(-0.536326\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 22.7613 | − | 39.4238i | 1.01287 | − | 1.75433i | ||||
\(506\) | 0.0828019 | + | 0.0146002i | 0.00368099 | + | 0.000649058i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.8905 | − | 4.32781i | −0.527558 | − | 0.192015i | ||||
\(509\) | 36.1173 | + | 13.1456i | 1.60087 | + | 0.582669i | 0.979605 | − | 0.200932i | \(-0.0643969\pi\) |
0.621265 | + | 0.783601i | \(0.286619\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.6222 | − | 12.8919i | 0.602610 | − | 0.570304i | ||||
\(512\) | − | 1.29242i | − | 0.0571175i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.179638 | − | 0.103714i | −0.00792350 | − | 0.00457463i | ||||
\(515\) | −37.6403 | − | 6.63701i | −1.65863 | − | 0.292462i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 24.3925 | + | 29.0698i | 1.07278 | + | 1.27849i | ||||
\(518\) | −0.145292 | − | 0.220161i | −0.00638378 | − | 0.00967331i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0289326 | + | 0.164085i | −0.00126878 | + | 0.00719561i | ||||
\(521\) | 13.6287 | + | 23.6056i | 0.597084 | + | 1.03418i | 0.993249 | + | 0.116001i | \(0.0370076\pi\) |
−0.396165 | + | 0.918179i | \(0.629659\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.1701 | − | 7.02641i | −0.532162 | − | 0.307244i | 0.209735 | − | 0.977758i | \(-0.432740\pi\) |
−0.741896 | + | 0.670515i | \(0.766073\pi\) | |||||||
\(524\) | 1.36281 | − | 7.72887i | 0.0595346 | − | 0.337637i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.0375707 | − | 0.0136746i | −0.00163816 | − | 0.000596241i | ||||
\(527\) | 21.5319 | − | 3.79666i | 0.937945 | − | 0.165385i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.8401 | + | 14.1305i | 0.732179 | + | 0.614371i | ||||
\(530\) | −0.0640763 | + | 0.110983i | −0.00278330 | + | 0.00482081i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.84118 | + | 0.797601i | −0.0798253 | + | 0.0345804i | ||||
\(533\) | 0.117572 | − | 0.140117i | 0.00509261 | − | 0.00606914i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 19.0642 | − | 52.3785i | 0.824218 | − | 2.26452i | ||||
\(536\) | 0.600982 | − | 0.105969i | 0.0259585 | − | 0.00457718i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.146781 | + | 0.403277i | 0.00632817 | + | 0.0173865i | ||||
\(539\) | 8.21847 | − | 35.1627i | 0.353995 | − | 1.51457i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.7693 | + | 18.6530i | 0.463010 | + | 0.801957i | 0.999109 | − | 0.0421981i | \(-0.0134361\pi\) |
−0.536099 | + | 0.844155i | \(0.680103\pi\) | |||||||
\(542\) | −0.0565279 | + | 0.320586i | −0.00242808 | + | 0.0137703i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.224698 | − | 0.617352i | 0.00963384 | − | 0.0264687i | ||||
\(545\) | 1.26516 | + | 7.17510i | 0.0541936 | + | 0.307347i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.2027 | − | 16.9521i | −0.863805 | − | 0.724819i | 0.0989790 | − | 0.995090i | \(-0.468442\pi\) |
−0.962784 | + | 0.270271i | \(0.912887\pi\) | |||||||
\(548\) | 12.9671i | 0.553928i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.912030 | −0.0388891 | ||||||||
\(551\) | −2.05393 | + | 0.747568i | −0.0875003 | + | 0.0318475i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.02983 | + | 1.51575i | 0.128841 | + | 0.0644563i | ||||
\(554\) | 0.129401 | − | 0.355526i | 0.00549771 | − | 0.0151048i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.21887 | + | 8.60311i | −0.306148 | + | 0.364853i | ||||
\(557\) | 30.7772i | 1.30407i | 0.758188 | + | 0.652036i | \(0.226085\pi\) | ||||
−0.758188 | + | 0.652036i | \(0.773915\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.66998 | + | 2.69621i | 0.197519 | + | 0.114038i | ||||
\(560\) | −12.0498 | + | 40.4777i | −0.509196 | + | 1.71050i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.108906 | + | 0.0913828i | −0.00459391 | + | 0.00385475i | ||||
\(563\) | 3.36336 | + | 19.0746i | 0.141749 | + | 0.803898i | 0.969920 | + | 0.243423i | \(0.0782703\pi\) |
−0.828171 | + | 0.560475i | \(0.810619\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.6208 | − | 12.6573i | 0.446819 | − | 0.532498i | ||||
\(566\) | 0.482422 | 0.0202777 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.640040 | −0.0268555 | ||||||||
\(569\) | 27.3462 | − | 32.5900i | 1.14641 | − | 1.36624i | 0.226553 | − | 0.973999i | \(-0.427254\pi\) |
0.919861 | − | 0.392245i | \(-0.128301\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.30750 | + | 30.1004i | 0.222112 | + | 1.25966i | 0.868129 | + | 0.496338i | \(0.165322\pi\) |
−0.646017 | + | 0.763323i | \(0.723567\pi\) | |||||||
\(572\) | 5.10142 | − | 4.28060i | 0.213301 | − | 0.178981i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.00880070 | + | 0.00832890i | −0.000367334 | + | 0.000347642i | ||||
\(575\) | 9.55163 | + | 5.51464i | 0.398331 | + | 0.229976i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.18870i | 0.299269i | 0.988741 | + | 0.149635i | \(0.0478097\pi\) | ||||
−0.988741 | + | 0.149635i | \(0.952190\pi\) | |||||||
\(578\) | −0.0573907 | + | 0.0683956i | −0.00238714 | + | 0.00284488i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.7369 | + | 43.2368i | −0.653439 | + | 1.79531i | ||||
\(581\) | 18.9765 | − | 12.5233i | 0.787278 | − | 0.519554i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.62700 | − | 3.50394i | 0.398710 | − | 0.145118i | ||||
\(584\) | −0.458300 | −0.0189646 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 0.0360344i | − | 0.00148857i | ||||||
\(587\) | −17.1076 | − | 14.3550i | −0.706107 | − | 0.592495i | 0.217396 | − | 0.976083i | \(-0.430244\pi\) |
−0.923504 | + | 0.383589i | \(0.874688\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.425032 | + | 2.41048i | 0.0175131 | + | 0.0993220i | ||||
\(590\) | −0.0755910 | + | 0.207685i | −0.00311203 | + | 0.00855024i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.28267 | − | 24.2882i | 0.176016 | − | 0.998239i | ||||
\(593\) | 17.8613 | + | 30.9367i | 0.733476 | + | 1.27042i | 0.955389 | + | 0.295351i | \(0.0954364\pi\) |
−0.221913 | + | 0.975066i | \(0.571230\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −21.3229 | + | 28.7347i | −0.874155 | + | 1.17801i | ||||
\(596\) | 2.42633 | + | 6.66629i | 0.0993863 | + | 0.273062i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.0103618 | − | 0.00182707i | 0.000423726 | − | 7.47143e-5i | ||||
\(599\) | −12.6673 | + | 34.8032i | −0.517572 | + | 1.42202i | 0.355615 | + | 0.934633i | \(0.384272\pi\) |
−0.873187 | + | 0.487386i | \(0.837951\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.43732 | + | 1.71293i | −0.0586295 | + | 0.0698719i | −0.794562 | − | 0.607183i | \(-0.792300\pi\) |
0.735933 | + | 0.677055i | \(0.236744\pi\) | |||||||
\(602\) | −0.286871 | − | 0.212876i | −0.0116920 | − | 0.00867619i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 16.0384 | − | 27.7792i | 0.652591 | − | 1.13032i | ||||
\(605\) | 47.7433 | + | 40.0614i | 1.94104 | + | 1.62873i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.4589 | − | 5.54705i | 1.27688 | − | 0.225148i | 0.506223 | − | 0.862403i | \(-0.331041\pi\) |
0.770653 | + | 0.637255i | \(0.219930\pi\) | |||||||
\(608\) | 0.0691120 | + | 0.0251547i | 0.00280286 | + | 0.00102016i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.0902750 | − | 0.511975i | 0.00365513 | − | 0.0207293i | ||||
\(611\) | 4.11258 | + | 2.37440i | 0.166377 | + | 0.0960580i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.02179 | + | 8.69800i | 0.202828 | + | 0.351309i | 0.949439 | − | 0.313953i | \(-0.101653\pi\) |
−0.746610 | + | 0.665262i | \(0.768320\pi\) | |||||||
\(614\) | −0.0420080 | + | 0.238239i | −0.00169530 | + | 0.00961454i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.736465 | + | 0.486020i | −0.0296730 | + | 0.0195823i | ||||
\(617\) | −20.1274 | − | 23.9869i | −0.810298 | − | 0.965675i | 0.189571 | − | 0.981867i | \(-0.439290\pi\) |
−0.999869 | + | 0.0161920i | \(0.994846\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.4246 | + | 5.01202i | 1.14248 | + | 0.201450i | 0.712690 | − | 0.701479i | \(-0.247477\pi\) |
0.429790 | + | 0.902929i | \(0.358588\pi\) | |||||||
\(620\) | 44.6221 | + | 25.7626i | 1.79207 | + | 1.03465i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 0.0732000i | − | 0.00293505i | ||||||
\(623\) | −13.7861 | + | 3.28999i | −0.552329 | + | 0.131811i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −37.5389 | − | 13.6630i | −1.50156 | − | 0.546522i | ||||
\(626\) | 0.184724 | + | 0.0672339i | 0.00738304 | + | 0.00268721i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.0832 | + | 2.13060i | 0.482173 | + | 0.0850201i | ||||
\(629\) | 10.4478 | − | 18.0961i | 0.416581 | − | 0.721539i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.47416 | + | 7.74947i | 0.178113 | + | 0.308501i | 0.941234 | − | 0.337754i | \(-0.109667\pi\) |
−0.763121 | + | 0.646256i | \(0.776334\pi\) | |||||||
\(632\) | −0.0283137 | − | 0.0777912i | −0.00112626 | − | 0.00309437i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.420946 | − | 0.353216i | 0.0167179 | − | 0.0140280i | ||||
\(635\) | −4.38660 | − | 24.8777i | −0.174077 | − | 0.987240i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.538543 | − | 4.48664i | −0.0213378 | − | 0.177767i | ||||
\(638\) | −0.416183 | + | 0.240284i | −0.0164769 | + | 0.00951292i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.78770 | − | 1.03213i | 0.0706652 | − | 0.0407986i | ||||
\(641\) | −9.90209 | − | 27.2058i | −0.391109 | − | 1.07456i | −0.966496 | − | 0.256682i | \(-0.917371\pi\) |
0.575387 | − | 0.817881i | \(-0.304851\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.3352 | − | 2.17502i | 0.486451 | − | 0.0857744i | 0.0749567 | − | 0.997187i | \(-0.476118\pi\) |
0.411494 | + | 0.911412i | \(0.365007\pi\) | |||||||
\(644\) | 5.32550 | − | 0.318473i | 0.209854 | − | 0.0125496i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0159080 | + | 0.0133484i | 0.000625892 | + | 0.000525186i | ||||
\(647\) | −4.53468 | + | 7.85429i | −0.178277 | + | 0.308784i | −0.941290 | − | 0.337598i | \(-0.890385\pi\) |
0.763014 | + | 0.646382i | \(0.223719\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.3012 | − | 8.83418i | 0.600626 | − | 0.346772i | ||||
\(650\) | −0.107248 | + | 0.0390352i | −0.00420662 | + | 0.00153109i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.84681 | − | 4.06695i | 0.189816 | − | 0.159274i | ||||
\(653\) | −15.2001 | − | 18.1147i | −0.594824 | − | 0.708884i | 0.381701 | − | 0.924286i | \(-0.375338\pi\) |
−0.976525 | + | 0.215402i | \(0.930894\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.7229 | − | 5.35869i | 0.575271 | − | 0.209381i | ||||
\(656\) | −1.13291 | −0.0442328 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.252631 | − | 0.187468i | −0.00984859 | − | 0.00730826i | ||||
\(659\) | −42.5738 | − | 7.50690i | −1.65844 | − | 0.292427i | −0.735543 | − | 0.677478i | \(-0.763073\pi\) |
−0.922895 | + | 0.385051i | \(0.874184\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.0610 | − | 11.9902i | −0.391327 | − | 0.466366i | 0.534028 | − | 0.845467i | \(-0.320678\pi\) |
−0.925355 | + | 0.379101i | \(0.876233\pi\) | |||||||
\(662\) | 0.345870 | + | 0.412192i | 0.0134426 | + | 0.0160203i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.547136 | − | 0.0964749i | −0.0212330 | − | 0.00374395i | ||||
\(665\) | −3.21682 | − | 2.38708i | −0.124743 | − | 0.0925671i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.81155 | 0.225024 | ||||||||
\(668\) | −14.3979 | + | 5.24040i | −0.557070 | + | 0.202757i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.391527 | + | 0.466603i | 0.0151260 | + | 0.0180265i | ||||
\(671\) | −31.8368 | + | 26.7142i | −1.22904 | + | 1.03129i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.784137 | − | 0.285403i | 0.0302263 | − | 0.0110015i | −0.326863 | − | 0.945072i | \(-0.605991\pi\) |
0.357089 | + | 0.934070i | \(0.383769\pi\) | |||||||
\(674\) | −0.388456 | + | 0.224275i | −0.0149628 | + | 0.00863875i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.5816 | + | 21.7920i | −0.483909 | + | 0.838154i | ||||
\(677\) | −15.9582 | − | 13.3905i | −0.613325 | − | 0.514641i | 0.282373 | − | 0.959305i | \(-0.408879\pi\) |
−0.895697 | + | 0.444664i | \(0.853323\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −19.8298 | + | 1.18585i | −0.760997 | + | 0.0455088i | ||||
\(680\) | 0.861073 | − | 0.151830i | 0.0330206 | − | 0.00582243i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.184059 | + | 0.505699i | 0.00704800 | + | 0.0193642i | ||||
\(683\) | −15.2002 | + | 8.77584i | −0.581619 | + | 0.335798i | −0.761777 | − | 0.647840i | \(-0.775673\pi\) |
0.180157 | + | 0.983638i | \(0.442339\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.4190 | + | 12.9436i | −0.856587 | + | 0.494551i | ||||
\(686\) | 0.00139453 | + | 0.299353i | 5.32433e−5 | + | 0.0114293i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.79982 | − | 32.8924i | −0.221116 | − | 1.25401i | ||||
\(689\) | 0.982097 | − | 0.824077i | 0.0374149 | − | 0.0313949i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.98305 | + | 24.6807i | 0.341731 | + | 0.938899i | 0.984892 | + | 0.173168i | \(0.0554004\pi\) |
−0.643161 | + | 0.765731i | \(0.722377\pi\) | |||||||
\(692\) | −1.58186 | − | 2.73985i | −0.0601331 | − | 0.104154i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.0986965 | − | 0.170947i | 0.00374647 | − | 0.00648907i | ||||
\(695\) | −22.0798 | − | 3.89326i | −0.837535 | − | 0.147680i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.901972 | − | 0.328291i | −0.0341646 | − | 0.0124349i | ||||
\(698\) | 0.169055 | + | 0.0615309i | 0.00639882 | + | 0.00232898i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −56.2896 | + | 13.4332i | −2.12755 | + | 0.507729i | ||||
\(701\) | 8.38616i | 0.316741i | 0.987380 | + | 0.158370i | \(0.0506240\pi\) | ||||
−0.987380 | + | 0.158370i | \(0.949376\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.02584 | + | 1.16962i | 0.0764060 | + | 0.0441130i | ||||
\(704\) | −40.6102 | − | 7.16068i | −1.53056 | − | 0.269878i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.204029 | − | 0.243152i | −0.00767874 | − | 0.00915116i | ||||
\(707\) | 25.1801 | − | 16.6173i | 0.946994 | − | 0.624956i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.38512 | + | 7.85540i | −0.0520193 | + | 0.295016i | −0.999708 | − | 0.0241813i | \(-0.992302\pi\) |
0.947688 | + | 0.319197i | \(0.103413\pi\) | |||||||
\(710\) | −0.319419 | − | 0.553250i | −0.0119876 | − | 0.0207631i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.299933 | + | 0.173166i | 0.0112404 | + | 0.00648968i | ||||
\(713\) | 1.13009 | − | 6.40908i | 0.0423223 | − | 0.240022i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 12.4930 | + | 4.54706i | 0.467210 | + | 0.170051i | ||||
\(716\) | −17.1487 | + | 3.02378i | −0.640876 | + | 0.113004i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.371510 | + | 0.311734i | 0.0138646 | + | 0.0116338i | ||||
\(719\) | 24.8364 | − | 43.0180i | 0.926243 | − | 1.60430i | 0.136694 | − | 0.990613i | \(-0.456352\pi\) |
0.789549 | − | 0.613687i | \(-0.210314\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −20.3413 | − | 15.0945i | −0.757548 | − | 0.562148i | ||||
\(722\) | 0.195913 | − | 0.233479i | 0.00729111 | − | 0.00868921i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.858310 | − | 2.35819i | 0.0318988 | − | 0.0876413i | ||||
\(725\) | −62.0817 | + | 10.9467i | −2.30566 | + | 0.406550i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.9113 | − | 29.9786i | −0.404678 | − | 1.11184i | −0.959949 | − | 0.280174i | \(-0.909608\pi\) |
0.555271 | − | 0.831669i | \(-0.312614\pi\) | |||||||
\(728\) | −0.0658012 | + | 0.0886735i | −0.00243875 | + | 0.00328646i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.228720 | − | 0.396154i | −0.00846530 | − | 0.0146623i | ||||
\(731\) | 4.91389 | − | 27.8680i | 0.181747 | − | 1.03074i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.7466 | − | 35.0211i | 0.470808 | − | 1.29353i | −0.446296 | − | 0.894885i | \(-0.647257\pi\) |
0.917104 | − | 0.398648i | \(-0.130521\pi\) | |||||||
\(734\) | −7.61473e−5 | 0 | 0.000431853i | −2.81065e−6 | 0 | 1.59400e-5i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.149801 | − | 0.125698i | −0.00552173 | − | 0.00463328i | ||||
\(737\) | − | 48.6936i | − | 1.79365i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −48.9604 | −1.80104 | −0.900518 | − | 0.434818i | \(-0.856813\pi\) | ||||
−0.900518 | + | 0.434818i | \(0.856813\pi\) | |||||||
\(740\) | 46.2731 | − | 16.8420i | 1.70103 | − | 0.619126i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.0708854 | + | 0.0467799i | −0.00260229 | + | 0.00171734i | ||||
\(743\) | −13.1684 | + | 36.1798i | −0.483100 | + | 1.32731i | 0.423721 | + | 0.905793i | \(0.360724\pi\) |
−0.906821 | + | 0.421515i | \(0.861499\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.10349 | + | 10.8491i | −0.333526 | + | 0.397481i | ||||
\(746\) | 0.454552i | 0.0166423i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −30.2648 | − | 17.4734i | −1.10659 | − | 0.638891i | ||||
\(749\) | 26.8300 | − | 25.3917i | 0.980348 | − | 0.927792i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.36026 | + | 2.81959i | −0.122618 | + | 0.102888i | −0.702035 | − | 0.712143i | \(-0.747725\pi\) |
0.579417 | + | 0.815031i | \(0.303280\pi\) | |||||||
\(752\) | −5.10757 | − | 28.9665i | −0.186254 | − | 1.05630i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0386560 | + | 0.0460684i | −0.00140777 | + | 0.00167771i | ||||
\(755\) | 64.0371 | 2.33055 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.14305 | 0.0778906 | 0.0389453 | − | 0.999241i | \(-0.487600\pi\) | ||||
0.0389453 | + | 0.999241i | \(0.487600\pi\) | |||||||
\(758\) | 0.00615852 | − | 0.00733944i | 0.000223688 | − | 0.000266580i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0169973 | + | 0.0963963i | 0.000616556 | + | 0.00349666i | ||||
\(761\) | 18.1810 | − | 15.2557i | 0.659062 | − | 0.553018i | −0.250744 | − | 0.968053i | \(-0.580675\pi\) |
0.909805 | + | 0.415035i | \(0.136231\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.37764 | + | 4.62777i | −0.0498738 | + | 0.167537i | ||||
\(764\) | 15.3584 | + | 8.86719i | 0.555648 | + | 0.320804i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 0.189685i | − | 0.00685358i | ||||||
\(767\) | 1.42121 | − | 1.69373i | 0.0513170 | − | 0.0611572i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.4284 | − | 42.3891i | 0.556362 | − | 1.52859i | −0.268513 | − | 0.963276i | \(-0.586532\pi\) |
0.824875 | − | 0.565315i | \(-0.191245\pi\) | |||||||
\(770\) | −0.787657 | − | 0.394046i | −0.0283852 | − | 0.0142004i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −47.3758 | + | 17.2434i | −1.70509 | + | 0.620603i | ||||
\(773\) | −6.19919 | −0.222969 | −0.111485 | − | 0.993766i | \(-0.535561\pi\) | ||||
−0.111485 | + | 0.993766i | \(0.535561\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 70.5935i | 2.53579i | ||||||||
\(776\) | 0.371852 | + | 0.312021i | 0.0133487 | + | 0.0112009i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.0430025 | − | 0.243880i | −0.00154172 | − | 0.00874351i | ||||
\(779\) | 0.0367518 | − | 0.100975i | 0.00131677 | − | 0.00361780i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.86827 | + | 50.2944i | −0.317332 | + | 1.79968i | ||||
\(782\) | −0.0276073 | − | 0.0478173i | −0.000987236 | − | 0.00170994i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.1439 | + | 20.4180i | −0.683711 | + | 0.729215i | ||||
\(785\) | 8.37771 | + | 23.0176i | 0.299013 | + | 0.821532i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.35268 | + | 0.414840i | −0.0838638 | + | 0.0147875i | −0.215423 | − | 0.976521i | \(-0.569113\pi\) |
0.131559 | + | 0.991308i | \(0.458002\pi\) | |||||||
\(788\) | −8.73047 | + | 23.9868i | −0.311010 | + | 0.854493i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0531124 | − | 0.0632969i | 0.00188966 | − | 0.00225200i | ||||
\(791\) | 10.0479 | − | 4.35276i | 0.357262 | − | 0.154766i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.60040 | + | 4.50403i | −0.0923429 | + | 0.159943i | ||||
\(794\) | 0.282290 | + | 0.236869i | 0.0100181 | + | 0.00840618i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 40.1182 | − | 7.07392i | 1.42195 | − | 0.250728i | ||||
\(797\) | −3.93456 | − | 1.43206i | −0.139369 | − | 0.0507263i | 0.271394 | − | 0.962468i | \(-0.412515\pi\) |
−0.410763 | + | 0.911742i | \(0.634738\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.32738 | − | 24.5418i | 0.153092 | − | 0.868226i | ||||
\(800\) | 1.83701 | + | 1.06060i | 0.0649481 | + | 0.0374978i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.0237001 | − | 0.0410498i | −0.000836879 | − | 0.00144952i | ||||
\(803\) | −6.35012 | + | 36.0133i | −0.224091 | + | 1.27088i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.86646 | + | 8.88942i | 0.206766 | + | 0.313311i | ||||
\(806\) | 0.0432882 | + | 0.0515888i | 0.00152476 | + | 0.00181714i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.725999 | − | 0.128013i | −0.0255406 | − | 0.00450349i | ||||
\(809\) | 30.6187 | + | 17.6777i | 1.07650 | + | 0.621516i | 0.929949 | − | 0.367688i | \(-0.119851\pi\) |
0.146547 | + | 0.989204i | \(0.453184\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.5126i | 1.07144i | 0.844395 | + | 0.535722i | \(0.179960\pi\) | ||||
−0.844395 | + | 0.535722i | \(0.820040\pi\) | |||||||
\(812\) | −22.1473 | + | 20.9600i | −0.777219 | + | 0.735553i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.483298 | + | 0.175906i | 0.0169396 | + | 0.00616551i | ||||
\(815\) | 11.8694 | + | 4.32012i | 0.415768 | + | 0.151327i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.11980 | + | 0.550105i | 0.109148 | + | 0.0192457i | ||||
\(818\) | 0.162714 | − | 0.281828i | 0.00568915 | − | 0.00985389i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.13101 | − | 1.95896i | −0.0394965 | − | 0.0684099i | ||||
\(821\) | −2.76913 | − | 7.60811i | −0.0966432 | − | 0.265525i | 0.881945 | − | 0.471352i | \(-0.156234\pi\) |
−0.978588 | + | 0.205827i | \(0.934012\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.6207 | + | 9.75094i | −0.405073 | + | 0.339896i | −0.822451 | − | 0.568837i | \(-0.807394\pi\) |
0.417378 | + | 0.908733i | \(0.362949\pi\) | |||||||
\(824\) | 0.107481 | + | 0.609552i | 0.00374426 | + | 0.0212348i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.106383 | + | 0.100680i | −0.00370154 | + | 0.00350310i | ||||
\(827\) | −28.1258 | + | 16.2385i | −0.978031 | + | 0.564667i | −0.901675 | − | 0.432414i | \(-0.857662\pi\) |
−0.0763561 | + | 0.997081i | \(0.524329\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 46.4304 | − | 26.8066i | 1.61260 | − | 0.931033i | 0.623830 | − | 0.781560i | \(-0.285576\pi\) |
0.988766 | − | 0.149472i | \(-0.0477575\pi\) | |||||||
\(830\) | −0.189662 | − | 0.521091i | −0.00658325 | − | 0.0180873i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.08195 | + | 0.896085i | −0.176185 | + | 0.0310662i | ||||
\(833\) | −21.1581 | + | 10.7084i | −0.733086 | + | 0.371025i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −23.4320 | − | 19.6618i | −0.810897 | − | 0.680423i | ||||
\(836\) | 1.95613 | − | 3.38812i | 0.0676542 | − | 0.117181i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.202204 | + | 0.116742i | −0.00698501 | + | 0.00403280i | ||||
\(839\) | 45.4329 | − | 16.5362i | 1.56852 | − | 0.570893i | 0.595849 | − | 0.803096i | \(-0.296816\pi\) |
0.972667 | + | 0.232203i | \(0.0745934\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.23023 | + | 2.71049i | −0.111387 | + | 0.0934651i | ||||
\(842\) | −0.0923875 | − | 0.110103i | −0.00318388 | − | 0.00379440i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.61862 | − | 0.589130i | 0.0557153 | − | 0.0202787i | ||||
\(845\) | −50.2353 | −1.72815 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.4186 | + | 37.9006i | 0.564148 | + | 1.30228i | ||||
\(848\) | −7.82010 | − | 1.37889i | −0.268543 | − | 0.0473514i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.384984 | + | 0.458806i | 0.0132048 | + | 0.0157369i | ||||
\(851\) | −3.99793 | − | 4.76454i | −0.137047 | − | 0.163326i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −23.9167 | − | 4.21716i | −0.818892 | − | 0.144393i | −0.251518 | − | 0.967853i | \(-0.580930\pi\) |
−0.567374 | + | 0.823460i | \(0.692041\pi\) | |||||||
\(854\) | 0.205311 | − | 0.276677i | 0.00702561 | − | 0.00946769i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.902661 | −0.0308523 | ||||||||
\(857\) | −37.5356 | + | 13.6618i | −1.28219 | + | 0.466679i | −0.891156 | − | 0.453697i | \(-0.850105\pi\) |
−0.391034 | + | 0.920376i | \(0.627883\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.72944 | + | 4.44457i | 0.127247 | + | 0.151647i | 0.825906 | − | 0.563808i | \(-0.190664\pi\) |
−0.698659 | + | 0.715455i | \(0.746220\pi\) | |||||||
\(860\) | 51.0855 | − | 42.8658i | 1.74200 | − | 1.46171i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.478596 | + | 0.174195i | −0.0163011 | + | 0.00593310i | ||||
\(863\) | 18.5008 | − | 10.6815i | 0.629776 | − | 0.363601i | −0.150889 | − | 0.988551i | \(-0.548214\pi\) |
0.780665 | + | 0.624949i | \(0.214880\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.15798 | − | 5.46978i | 0.107374 | − | 0.185978i | ||||
\(866\) | −0.443616 | − | 0.372238i | −0.0150747 | − | 0.0126492i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.8084 | + | 28.5003i | 0.638398 | + | 0.967362i | ||||
\(869\) | −6.50516 | + | 1.14703i | −0.220672 | + | 0.0389105i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.08410 | − | 5.72602i | −0.0706171 | − | 0.194019i | ||||
\(872\) | 0.102180 | − | 0.0589934i | 0.00346024 | − | 0.00199777i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.00535310 | − | 0.00309062i | 0.000181071 | − | 0.000104542i | ||||
\(875\) | −43.1110 | − | 45.5530i | −1.45742 | − | 1.53997i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.72048 | − | 9.75733i | −0.0580965 | − | 0.329482i | 0.941883 | − | 0.335942i | \(-0.109055\pi\) |
−0.999979 | + | 0.00646042i | \(0.997944\pi\) | |||||||
\(878\) | −0.448240 | + | 0.376118i | −0.0151274 | + | 0.0126934i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −28.1638 | − | 77.3794i | −0.949402 | − | 2.60846i | ||||
\(881\) | −4.16378 | − | 7.21189i | −0.140281 | − | 0.242975i | 0.787321 | − | 0.616543i | \(-0.211467\pi\) |
−0.927603 | + | 0.373569i | \(0.878134\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.57726 | + | 14.8562i | −0.288648 | + | 0.499953i | −0.973487 | − | 0.228741i | \(-0.926539\pi\) |
0.684839 | + | 0.728694i | \(0.259872\pi\) | |||||||
\(884\) | −4.30680 | − | 0.759405i | −0.144853 | − | 0.0255415i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.364481 | + | 0.132660i | 0.0122450 | + | 0.00445680i | ||||
\(887\) | 14.1405 | + | 5.14672i | 0.474791 | + | 0.172810i | 0.568321 | − | 0.822807i | \(-0.307593\pi\) |
−0.0935304 | + | 0.995616i | \(0.529815\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.77658 | − | 16.0455i | 0.160201 | − | 0.538150i | ||||
\(890\) | 0.345682i | 0.0115873i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 27.2931 | + | 15.7577i | 0.913842 | + | 0.527607i | ||||
\(893\) | 2.74743 | + | 0.484446i | 0.0919392 | + | 0.0162114i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.3454 | − | 26.6303i | −0.746926 | − | 0.890152i | ||||
\(896\) | 1.36560 | − | 0.0816650i | 0.0456215 | − | 0.00272824i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.0903715 | − | 0.512522i | 0.00301573 | − | 0.0171031i | ||||
\(899\) | 18.5986 | + | 32.2137i | 0.620297 | + | 1.07439i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.82642 | − | 3.36388i | −0.194106 | − | 0.112067i | ||||
\(902\) | 0.00410254 | − | 0.0232666i | 0.000136600 | − | 0.000774694i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.251438 | − | 0.0915161i | −0.00836271 | − | 0.00304378i | ||||
\(905\) | 4.93385 | − | 0.869971i | 0.164007 | − | 0.0289188i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.4212 | − | 17.1354i | −0.678076 | − | 0.568973i | 0.237368 | − | 0.971420i | \(-0.423715\pi\) |
−0.915443 | + | 0.402447i | \(0.868160\pi\) | |||||||
\(908\) | 9.46364 | − | 16.3915i | 0.314062 | − | 0.543971i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.109488 | − | 0.0126250i | −0.00362950 | − | 0.000418515i | ||||
\(911\) | 0.769727 | − | 0.917325i | 0.0255022 | − | 0.0303923i | −0.753143 | − | 0.657857i | \(-0.771463\pi\) |
0.778645 | + | 0.627465i | \(0.215907\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −15.1620 | + | 41.6573i | −0.501790 | + | 1.37866i | ||||
\(914\) | 0.0176136 | − | 0.00310575i | 0.000582606 | − | 0.000102729i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.25906 | − | 3.45925i | −0.0416006 | − | 0.114297i | ||||
\(917\) | 10.3151 | + | 1.18943i | 0.340634 | + | 0.0392783i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.4234 | − | 33.6423i | −0.640718 | − | 1.10976i | −0.985273 | − | 0.170990i | \(-0.945303\pi\) |
0.344555 | − | 0.938766i | \(-0.388030\pi\) | |||||||
\(920\) | 0.0451931 | − | 0.256303i | 0.00148997 | − | 0.00845004i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.116158 | − | 0.319141i | 0.00382546 | − | 0.0105104i | ||||
\(923\) | 1.10977 | + | 6.29384i | 0.0365286 | + | 0.207164i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 51.6823 | + | 43.3666i | 1.69930 | + | 1.42589i | ||||
\(926\) | 0.370426i | 0.0121730i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.11770 | 0.0366903 | ||||||||
\(929\) | 18.2313 | − | 6.63565i | 0.598150 | − | 0.217709i | −0.0251605 | − | 0.999683i | \(-0.508010\pi\) |
0.623310 | + | 0.781975i | \(0.285787\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.19880 | − | 2.36863i | −0.0392890 | − | 0.0776288i | ||||
\(932\) | 7.21725 | − | 19.8292i | 0.236409 | − | 0.649528i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.353439 | + | 0.421212i | −0.0115649 | + | 0.0137825i | ||||
\(935\) | − | 69.7670i | − | 2.28162i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.25895 | + | 3.61361i | 0.204471 | + | 0.118051i | 0.598739 | − | 0.800944i | \(-0.295669\pi\) |
−0.394268 | + | 0.918995i | \(0.629002\pi\) | |||||||
\(938\) | 0.0937028 | + | 0.392645i | 0.00305950 | + | 0.0128203i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 44.9880 | − | 37.7494i | 1.46735 | − | 1.23125i | ||||
\(941\) | 6.31346 | + | 35.8054i | 0.205813 | + | 1.16722i | 0.896155 | + | 0.443741i | \(0.146349\pi\) |
−0.690342 | + | 0.723483i | \(0.742540\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.183649 | + | 0.218864i | −0.00598042 | + | 0.00712719i | ||||
\(944\) | −13.6947 | −0.445723 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.696515 | 0.0226456 | ||||||||
\(947\) | −28.0388 | + | 33.4153i | −0.911138 | + | 1.08585i | 0.0848523 | + | 0.996394i | \(0.472958\pi\) |
−0.995991 | + | 0.0894587i | \(0.971486\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.794652 | + | 4.50670i | 0.0257955 | + | 0.146294i | ||||
\(950\) | −0.0513629 | + | 0.0430986i | −0.00166643 | + | 0.00139830i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.555372 | + | 0.165328i | 0.0179997 | + | 0.00535832i | ||||
\(953\) | −43.3242 | − | 25.0133i | −1.40341 | − | 0.810259i | −0.408669 | − | 0.912683i | \(-0.634007\pi\) |
−0.994741 | + | 0.102424i | \(0.967340\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 35.4045i | 1.14566i | ||||||||
\(956\) | −6.14626 | + | 7.32483i | −0.198784 | + | 0.236902i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.210556 | − | 0.578499i | 0.00680277 | − | 0.0186905i | ||||
\(959\) | −17.1255 | + | 1.02414i | −0.553013 | + | 0.0330710i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.0119 | − | 3.64405i | 0.322966 | − | 0.117550i | ||||
\(962\) | 0.0643613 | 0.00207509 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 17.4526i | − | 0.562109i | ||||||
\(965\) | −77.1022 | − | 64.6964i | −2.48201 | − | 2.08265i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.26924 | − | 18.5408i | −0.105132 | − | 0.596231i | −0.991168 | − | 0.132615i | \(-0.957663\pi\) |
0.886036 | − | 0.463616i | \(-0.153448\pi\) | |||||||
\(968\) | 0.345198 | − | 0.948423i | 0.0110951 | − | 0.0304835i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.0841338 | + | 0.477147i | −0.00270137 | + | 0.0153203i | ||||
\(971\) | 2.80491 | + | 4.85825i | 0.0900140 | + | 0.155909i | 0.907517 | − | 0.420016i | \(-0.137975\pi\) |
−0.817503 | + | 0.575925i | \(0.804642\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.9322 | − | 8.85441i | −0.382528 | − | 0.283859i | ||||
\(974\) | −0.115180 | − | 0.316455i | −0.00369061 | − | 0.0101399i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 31.7235 | − | 5.59372i | 1.01545 | − | 0.179051i | ||||
\(977\) | −9.45867 | + | 25.9875i | −0.302610 | + | 0.831413i | 0.691435 | + | 0.722439i | \(0.256979\pi\) |
−0.994045 | + | 0.108974i | \(0.965243\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.7632 | − | 21.1694i | 0.567715 | − | 0.676577i | ||||
\(980\) | −54.4173 | − | 12.7188i | −1.73830 | − | 0.406286i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.0224232 | + | 0.0388382i | −0.000715554 | + | 0.00123938i | ||||
\(983\) | −25.9918 | − | 21.8097i | −0.829009 | − | 0.695622i | 0.126054 | − | 0.992023i | \(-0.459769\pi\) |
−0.955063 | + | 0.296402i | \(0.904213\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −50.1857 | + | 8.84909i | −1.59905 | + | 0.281955i | ||||
\(986\) | 0.296555 | + | 0.107937i | 0.00944425 | + | 0.00343743i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0850146 | − | 0.482142i | 0.00270468 | − | 0.0153390i | ||||
\(989\) | −7.29455 | − | 4.21151i | −0.231953 | − | 0.133918i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.4282 | + | 21.5264i | 0.394796 | + | 0.683807i | 0.993075 | − | 0.117481i | \(-0.0374818\pi\) |
−0.598279 | + | 0.801288i | \(0.704148\pi\) | |||||||
\(992\) | 0.217344 | − | 1.23262i | 0.00690068 | − | 0.0391357i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.0252733 | − | 0.422619i | −0.000801620 | − | 0.0134047i | ||||
\(995\) | 52.2757 | + | 62.2997i | 1.65725 | + | 1.97503i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −57.2855 | − | 10.1010i | −1.81425 | − | 0.319901i | −0.839527 | − | 0.543318i | \(-0.817168\pi\) |
−0.974723 | + | 0.223417i | \(0.928279\pi\) | |||||||
\(998\) | −0.0569679 | − | 0.0328904i | −0.00180329 | − | 0.00104113i | ||||
\(999\) | 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 | 567.2.ba.a.143.12 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.11 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.11 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.12 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.12 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.11 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.12 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.11 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.11 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.11 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.12 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.12 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.12 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.12 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.11 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.11 | 132 | 7.5 | odd | 6 |