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: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 190.3 | ||
Character | \(\chi\) | \(=\) | 441.190 |
Dual form | 441.2.u.d.253.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.494936 | + | 0.620630i | −0.349973 | + | 0.438852i | −0.925395 | − | 0.379005i | \(-0.876266\pi\) |
0.575422 | + | 0.817857i | \(0.304838\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.304822 | + | 1.33551i | 0.152411 | + | 0.667756i | ||||
\(5\) | −1.66830 | − | 0.803409i | −0.746085 | − | 0.359296i | 0.0219027 | − | 0.999760i | \(-0.493028\pi\) |
−0.767988 | + | 0.640464i | \(0.778742\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.814382 | − | 2.51730i | 0.307808 | − | 0.951449i | ||||
\(8\) | −2.41013 | − | 1.16066i | −0.852111 | − | 0.410355i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32432 | − | 0.637759i | 0.418787 | − | 0.201677i | ||||
\(11\) | −2.05686 | + | 2.57922i | −0.620167 | + | 0.777665i | −0.988368 | − | 0.152081i | \(-0.951403\pi\) |
0.368201 | + | 0.929746i | \(0.379974\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.75557 | + | 4.70933i | −1.04161 | + | 1.30613i | −0.0909619 | + | 0.995854i | \(0.528994\pi\) |
−0.950645 | + | 0.310280i | \(0.899577\pi\) | |||||||
\(14\) | 1.15924 | + | 1.75133i | 0.309821 | + | 0.468063i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.555194 | + | 0.267367i | −0.138798 | + | 0.0668418i | ||||
\(17\) | −1.06962 | + | 4.68631i | −0.259421 | + | 1.13660i | 0.662451 | + | 0.749105i | \(0.269516\pi\) |
−0.921872 | + | 0.387493i | \(0.873341\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.59852 | −0.825557 | −0.412779 | − | 0.910831i | \(-0.635442\pi\) | ||||
−0.412779 | + | 0.910831i | \(0.635442\pi\) | |||||||
\(20\) | 0.564429 | − | 2.47293i | 0.126210 | − | 0.552963i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.582729 | − | 2.55310i | −0.124238 | − | 0.544323i | ||||
\(23\) | −0.399015 | − | 1.74820i | −0.0832004 | − | 0.364525i | 0.916139 | − | 0.400860i | \(-0.131289\pi\) |
−0.999340 | + | 0.0363353i | \(0.988432\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.979701 | − | 1.22851i | −0.195940 | − | 0.245701i | ||||
\(26\) | −1.06399 | − | 4.66164i | −0.208665 | − | 0.914223i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.61012 | + | 0.320290i | 0.682248 | + | 0.0605291i | ||||
\(29\) | 1.56209 | − | 6.84396i | 0.290073 | − | 1.27089i | −0.594350 | − | 0.804206i | \(-0.702591\pi\) |
0.884423 | − | 0.466686i | \(-0.154552\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.52567 | −1.35165 | −0.675825 | − | 0.737062i | \(-0.736212\pi\) | ||||
−0.675825 | + | 0.737062i | \(0.736212\pi\) | |||||||
\(32\) | 1.29936 | − | 5.69285i | 0.229696 | − | 1.00636i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.37908 | − | 2.98327i | −0.408008 | − | 0.511626i | ||||
\(35\) | −3.38105 | + | 3.54532i | −0.571502 | + | 0.599268i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.545948 | + | 2.39196i | −0.0897534 | + | 0.393235i | −0.999772 | − | 0.0213311i | \(-0.993210\pi\) |
0.910019 | + | 0.414566i | \(0.136067\pi\) | |||||||
\(38\) | 1.78104 | − | 2.23335i | 0.288922 | − | 0.362297i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.08833 | + | 3.87265i | 0.488308 | + | 0.612319i | ||||
\(41\) | 5.35705 | + | 2.57982i | 0.836631 | + | 0.402900i | 0.802598 | − | 0.596520i | \(-0.203451\pi\) |
0.0340331 | + | 0.999421i | \(0.489165\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.85394 | − | 3.30068i | 1.04522 | − | 0.503349i | 0.169175 | − | 0.985586i | \(-0.445890\pi\) |
0.876041 | + | 0.482237i | \(0.160176\pi\) | |||||||
\(44\) | −4.07156 | − | 1.96076i | −0.613811 | − | 0.295596i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.28247 | + | 0.617607i | 0.189090 | + | 0.0910611i | ||||
\(47\) | −5.03967 | + | 6.31955i | −0.735112 | + | 0.921801i | −0.999087 | − | 0.0427287i | \(-0.986395\pi\) |
0.263975 | + | 0.964529i | \(0.414966\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.67356 | − | 4.10008i | −0.810509 | − | 0.585726i | ||||
\(50\) | 1.24734 | 0.176400 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.43415 | − | 3.58010i | −1.03093 | − | 0.496470i | ||||
\(53\) | 2.61082 | + | 11.4388i | 0.358624 | + | 1.57124i | 0.756624 | + | 0.653850i | \(0.226847\pi\) |
−0.398000 | + | 0.917386i | \(0.630296\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.50363 | − | 2.65041i | 0.742109 | − | 0.357381i | ||||
\(56\) | −4.88449 | + | 5.12180i | −0.652718 | + | 0.684429i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.47444 | + | 4.35681i | 0.456216 | + | 0.572077i | ||||
\(59\) | 0.864413 | − | 0.416279i | 0.112537 | − | 0.0541950i | −0.376768 | − | 0.926308i | \(-0.622965\pi\) |
0.489305 | + | 0.872113i | \(0.337250\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.40853 | + | 6.17118i | −0.180344 | + | 0.790138i | 0.801122 | + | 0.598501i | \(0.204237\pi\) |
−0.981466 | + | 0.191637i | \(0.938620\pi\) | |||||||
\(62\) | 3.72473 | − | 4.67066i | 0.473041 | − | 0.593174i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.12165 | + | 2.66046i | 0.265206 | + | 0.332558i | ||||
\(65\) | 10.0489 | − | 4.83931i | 1.24642 | − | 0.600242i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.63216 | 0.932417 | 0.466208 | − | 0.884675i | \(-0.345620\pi\) | ||||
0.466208 | + | 0.884675i | \(0.345620\pi\) | |||||||
\(68\) | −6.58467 | −0.798508 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.526926 | − | 3.85309i | −0.0629797 | − | 0.460532i | ||||
\(71\) | −0.688296 | − | 3.01562i | −0.0816857 | − | 0.357889i | 0.917522 | − | 0.397685i | \(-0.130186\pi\) |
−0.999208 | + | 0.0397963i | \(0.987329\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.29619 | + | 1.62537i | 0.151707 | + | 0.190235i | 0.851878 | − | 0.523741i | \(-0.175464\pi\) |
−0.700170 | + | 0.713976i | \(0.746893\pi\) | |||||||
\(74\) | −1.21431 | − | 1.52270i | −0.141161 | − | 0.177010i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.09691 | − | 4.80586i | −0.125824 | − | 0.551270i | ||||
\(77\) | 4.81760 | + | 7.27821i | 0.549016 | + | 0.829429i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.73554 | −0.870317 | −0.435158 | − | 0.900354i | \(-0.643308\pi\) | ||||
−0.435158 | + | 0.900354i | \(0.643308\pi\) | |||||||
\(80\) | 1.14103 | 0.127571 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.25251 | + | 2.04790i | −0.469612 | + | 0.226153i | ||||
\(83\) | −1.26408 | − | 1.58510i | −0.138751 | − | 0.173988i | 0.707601 | − | 0.706612i | \(-0.249777\pi\) |
−0.846352 | + | 0.532624i | \(0.821206\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.54947 | − | 6.95882i | 0.601925 | − | 0.754790i | ||||
\(86\) | −1.34376 | + | 5.88739i | −0.144901 | + | 0.634853i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.95091 | − | 3.82896i | 0.847570 | − | 0.408168i | ||||
\(89\) | −3.01589 | − | 3.78180i | −0.319683 | − | 0.400870i | 0.595861 | − | 0.803088i | \(-0.296811\pi\) |
−0.915544 | + | 0.402218i | \(0.868240\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.79632 | + | 13.2891i | 0.922105 | + | 1.39307i | ||||
\(92\) | 2.21311 | − | 1.06578i | 0.230733 | − | 0.111115i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.42779 | − | 6.25555i | −0.147265 | − | 0.645210i | ||||
\(95\) | 6.00340 | + | 2.89108i | 0.615936 | + | 0.296619i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.4584 | 1.16343 | 0.581715 | − | 0.813393i | \(-0.302382\pi\) | ||||
0.581715 | + | 0.813393i | \(0.302382\pi\) | |||||||
\(98\) | 5.35269 | − | 1.49191i | 0.540703 | − | 0.150705i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.34205 | − | 1.68288i | 0.134205 | − | 0.168288i | ||||
\(101\) | −15.6394 | − | 7.53154i | −1.55618 | − | 0.749416i | −0.559346 | − | 0.828935i | \(-0.688948\pi\) |
−0.996833 | + | 0.0795183i | \(0.974662\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.20924 | + | 4.43494i | 0.907414 | + | 0.436987i | 0.828561 | − | 0.559899i | \(-0.189160\pi\) |
0.0788526 | + | 0.996886i | \(0.474874\pi\) | |||||||
\(104\) | 14.5173 | − | 6.99119i | 1.42354 | − | 0.685542i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.39144 | − | 4.04110i | −0.815048 | − | 0.392507i | ||||
\(107\) | 10.6528 | + | 13.3582i | 1.02985 | + | 1.29138i | 0.955765 | + | 0.294133i | \(0.0950307\pi\) |
0.0740805 | + | 0.997252i | \(0.476398\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.53636 | + | 6.94238i | −0.530287 | + | 0.664959i | −0.972758 | − | 0.231824i | \(-0.925531\pi\) |
0.442470 | + | 0.896783i | \(0.354102\pi\) | |||||||
\(110\) | −1.07902 | + | 4.72750i | −0.102881 | + | 0.450750i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.220903 | + | 1.61533i | 0.0208733 | + | 0.152634i | ||||
\(113\) | −10.4119 | − | 13.0561i | −0.979468 | − | 1.22821i | −0.973607 | − | 0.228232i | \(-0.926706\pi\) |
−0.00586137 | − | 0.999983i | \(-0.501866\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.738845 | + | 3.23709i | −0.0688976 | + | 0.301860i | ||||
\(116\) | 9.61635 | 0.892856 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.169474 | + | 0.742513i | −0.0156013 | + | 0.0683538i | ||||
\(119\) | 10.9258 | + | 6.50900i | 1.00156 | + | 0.596679i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.0260169 | + | 0.113988i | 0.00236518 | + | 0.0103625i | ||||
\(122\) | −3.13289 | − | 3.92851i | −0.283638 | − | 0.355671i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.29399 | − | 10.0506i | −0.206006 | − | 0.902572i | ||||
\(125\) | 2.70762 | + | 11.8628i | 0.242176 | + | 1.06104i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.06099 | + | 9.02978i | −0.182883 | + | 0.801263i | 0.797366 | + | 0.603496i | \(0.206226\pi\) |
−0.980249 | + | 0.197767i | \(0.936631\pi\) | |||||||
\(128\) | 8.97727 | 0.793486 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.97016 | + | 8.63182i | −0.172794 | + | 0.757060i | ||||
\(131\) | 5.30138 | − | 2.55301i | 0.463184 | − | 0.223058i | −0.187713 | − | 0.982224i | \(-0.560107\pi\) |
0.650897 | + | 0.759166i | \(0.274393\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.93057 | + | 9.05854i | −0.254113 | + | 0.785475i | ||||
\(134\) | −3.77743 | + | 4.73675i | −0.326321 | + | 0.409193i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.01714 | − | 10.0532i | 0.687464 | − | 0.862053i | ||||
\(137\) | 4.71367 | − | 2.26999i | 0.402716 | − | 0.193938i | −0.221551 | − | 0.975149i | \(-0.571112\pi\) |
0.624267 | + | 0.781211i | \(0.285398\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.42989 | + | 3.57804i | 0.630195 | + | 0.303486i | 0.721581 | − | 0.692330i | \(-0.243416\pi\) |
−0.0913866 | + | 0.995815i | \(0.529130\pi\) | |||||||
\(140\) | −5.76543 | − | 3.43474i | −0.487267 | − | 0.290289i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.21225 | + | 1.06536i | 0.185648 | + | 0.0894033i | ||||
\(143\) | −4.42174 | − | 19.3729i | −0.369764 | − | 1.62004i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.10454 | + | 10.1628i | −0.673045 | + | 0.843972i | ||||
\(146\) | −1.65028 | −0.136579 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.36090 | −0.276264 | ||||||||
\(149\) | −7.03129 | + | 8.81696i | −0.576025 | + | 0.722313i | −0.981429 | − | 0.191825i | \(-0.938560\pi\) |
0.405404 | + | 0.914138i | \(0.367131\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.61340 | − | 20.2126i | −0.375433 | − | 1.64488i | −0.711239 | − | 0.702950i | \(-0.751866\pi\) |
0.335806 | − | 0.941931i | \(-0.390991\pi\) | |||||||
\(152\) | 8.67291 | + | 4.17665i | 0.703466 | + | 0.338771i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.90148 | − | 0.612300i | −0.556137 | − | 0.0493405i | ||||
\(155\) | 12.5550 | + | 6.04619i | 1.00845 | + | 0.485642i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.77503 | + | 3.26268i | −0.540706 | + | 0.260390i | −0.684242 | − | 0.729255i | \(-0.739867\pi\) |
0.143536 | + | 0.989645i | \(0.454153\pi\) | |||||||
\(158\) | 3.82860 | − | 4.80091i | 0.304587 | − | 0.381940i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.74140 | + | 8.45345i | −0.532955 | + | 0.668304i | ||||
\(161\) | −4.72569 | − | 0.419263i | −0.372436 | − | 0.0330426i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.52731 | − | 1.69866i | 0.276280 | − | 0.133050i | −0.290613 | − | 0.956841i | \(-0.593859\pi\) |
0.566894 | + | 0.823791i | \(0.308145\pi\) | |||||||
\(164\) | −1.81243 | + | 7.94079i | −0.141527 | + | 0.620071i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.60940 | 0.124914 | ||||||||
\(167\) | 0.794789 | − | 3.48220i | 0.0615026 | − | 0.269461i | −0.934822 | − | 0.355116i | \(-0.884441\pi\) |
0.996325 | + | 0.0856555i | \(0.0272984\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.18076 | − | 22.6984i | −0.398520 | − | 1.74603i | ||||
\(170\) | 1.57222 | + | 6.88834i | 0.120584 | + | 0.528312i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.49733 | + | 8.14739i | 0.495416 | + | 0.621233i | ||||
\(173\) | −0.434931 | − | 1.90556i | −0.0330672 | − | 0.144877i | 0.955699 | − | 0.294344i | \(-0.0951012\pi\) |
−0.988767 | + | 0.149468i | \(0.952244\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.89037 | + | 1.46572i | −0.294084 | + | 0.110798i | ||||
\(176\) | 0.452357 | − | 1.98191i | 0.0340977 | − | 0.149392i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.83977 | 0.287803 | ||||||||
\(179\) | −2.17788 | + | 9.54190i | −0.162782 | + | 0.713195i | 0.825980 | + | 0.563699i | \(0.190622\pi\) |
−0.988762 | + | 0.149496i | \(0.952235\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.30729 | + | 9.16305i | 0.543146 | + | 0.681084i | 0.975343 | − | 0.220696i | \(-0.0708327\pi\) |
−0.432196 | + | 0.901779i | \(0.642261\pi\) | |||||||
\(182\) | −12.6012 | − | 1.11798i | −0.934065 | − | 0.0828702i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.06738 | + | 4.67652i | −0.0786886 | + | 0.344757i | ||||
\(185\) | 2.83252 | − | 3.55187i | 0.208251 | − | 0.261139i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.88699 | − | 12.3979i | −0.723009 | − | 0.906624i | ||||
\(188\) | −9.97603 | − | 4.80420i | −0.727577 | − | 0.350382i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.76559 | + | 2.29499i | −0.345733 | + | 0.166496i | ||||
\(191\) | −7.94952 | − | 3.82829i | −0.575207 | − | 0.277005i | 0.123580 | − | 0.992335i | \(-0.460562\pi\) |
−0.698787 | + | 0.715329i | \(0.746277\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.40229 | − | 3.56475i | −0.532828 | − | 0.256597i | 0.148067 | − | 0.988977i | \(-0.452695\pi\) |
−0.680895 | + | 0.732381i | \(0.738409\pi\) | |||||||
\(194\) | −5.67120 | + | 7.11146i | −0.407168 | + | 0.510573i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.74628 | − | 8.82690i | 0.267591 | − | 0.630493i | ||||
\(197\) | −7.29570 | −0.519797 | −0.259898 | − | 0.965636i | \(-0.583689\pi\) | ||||
−0.259898 | + | 0.965636i | \(0.583689\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.25737 | + | 0.605517i | 0.0891326 | + | 0.0429240i | 0.477919 | − | 0.878404i | \(-0.341391\pi\) |
−0.388786 | + | 0.921328i | \(0.627106\pi\) | |||||||
\(200\) | 0.935333 | + | 4.09796i | 0.0661381 | + | 0.289770i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.4148 | − | 5.97866i | 0.873503 | − | 0.420657i | ||||
\(203\) | −15.9561 | − | 9.50585i | −1.11990 | − | 0.667180i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.86450 | − | 8.60781i | −0.479438 | − | 0.601196i | ||||
\(206\) | −7.31044 | + | 3.52052i | −0.509343 | + | 0.245287i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.825946 | − | 3.61871i | 0.0572691 | − | 0.250912i | ||||
\(209\) | 7.40166 | − | 9.28139i | 0.511984 | − | 0.642007i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.92398 | + | 7.42844i | 0.407824 | + | 0.511395i | 0.942748 | − | 0.333505i | \(-0.108231\pi\) |
−0.534925 | + | 0.844900i | \(0.679660\pi\) | |||||||
\(212\) | −14.4808 | + | 6.97357i | −0.994543 | + | 0.478947i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −13.5630 | −0.927144 | ||||||||
\(215\) | −14.0862 | −0.960671 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.12877 | + | 18.9443i | −0.416048 | + | 1.28603i | ||||
\(218\) | −1.56851 | − | 6.87207i | −0.106233 | − | 0.465435i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.21728 | + | 6.54226i | 0.351749 | + | 0.441079i | ||||
\(221\) | −18.0524 | − | 22.6370i | −1.21433 | − | 1.52273i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.37217 | − | 23.5370i | −0.359747 | − | 1.57616i | −0.753823 | − | 0.657078i | \(-0.771792\pi\) |
0.394076 | − | 0.919078i | \(-0.371065\pi\) | |||||||
\(224\) | −13.2724 | − | 7.90702i | −0.886801 | − | 0.528310i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.2562 | 0.881791 | ||||||||
\(227\) | −9.47947 | −0.629174 | −0.314587 | − | 0.949229i | \(-0.601866\pi\) | ||||
−0.314587 | + | 0.949229i | \(0.601866\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.1328 | − | 4.87968i | 0.669591 | − | 0.322458i | −0.0680200 | − | 0.997684i | \(-0.521668\pi\) |
0.737611 | + | 0.675226i | \(0.235954\pi\) | |||||||
\(230\) | −1.64336 | − | 2.06070i | −0.108360 | − | 0.135879i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −11.7084 | + | 14.6818i | −0.768691 | + | 0.963908i | ||||
\(233\) | −0.959744 | + | 4.20491i | −0.0628749 | + | 0.275473i | −0.996587 | − | 0.0825525i | \(-0.973693\pi\) |
0.933712 | + | 0.358026i | \(0.116550\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 13.4849 | − | 6.49396i | 0.879655 | − | 0.423619i | ||||
\(236\) | 0.819438 | + | 1.02754i | 0.0533409 | + | 0.0668873i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.44724 | + | 3.55932i | −0.612374 | + | 0.230716i | ||||
\(239\) | 15.8586 | − | 7.63710i | 1.02581 | − | 0.494003i | 0.156189 | − | 0.987727i | \(-0.450079\pi\) |
0.869619 | + | 0.493724i | \(0.164365\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.628797 | − | 2.75494i | −0.0405044 | − | 0.177461i | 0.950630 | − | 0.310328i | \(-0.100439\pi\) |
−0.991134 | + | 0.132867i | \(0.957582\pi\) | |||||||
\(242\) | −0.0836210 | − | 0.0402697i | −0.00537536 | − | 0.00258864i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.67102 | −0.555105 | ||||||||
\(245\) | 6.17114 | + | 11.3983i | 0.394260 | + | 0.728214i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.5145 | − | 16.9466i | 0.859906 | − | 1.07829i | ||||
\(248\) | 18.1379 | + | 8.73473i | 1.15176 | + | 0.554656i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.70253 | − | 4.19092i | −0.550397 | − | 0.265057i | ||||
\(251\) | −0.949894 | + | 0.457445i | −0.0599568 | + | 0.0288737i | −0.463622 | − | 0.886033i | \(-0.653450\pi\) |
0.403665 | + | 0.914907i | \(0.367736\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.32972 | + | 2.56666i | 0.335077 | + | 0.161364i | ||||
\(254\) | −4.58410 | − | 5.74827i | −0.287632 | − | 0.360679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.68647 | + | 10.8925i | −0.542904 | + | 0.680780i | ||||
\(257\) | −6.47732 | + | 28.3790i | −0.404044 | + | 1.77023i | 0.206698 | + | 0.978405i | \(0.433728\pi\) |
−0.610743 | + | 0.791829i | \(0.709129\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.57665 | + | 3.32228i | 0.346516 | + | 0.206436i | ||||
\(260\) | 9.52608 | + | 11.9453i | 0.590782 | + | 0.740818i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.03937 | + | 4.55377i | −0.0642125 | + | 0.281333i | ||||
\(263\) | 27.0814 | 1.66991 | 0.834954 | − | 0.550320i | \(-0.185494\pi\) | ||||
0.834954 | + | 0.550320i | \(0.185494\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.83438 | − | 21.1808i | 0.296974 | − | 1.30113i | ||||
\(266\) | −4.17156 | − | 6.30220i | −0.255775 | − | 0.386413i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.32645 | + | 10.1928i | 0.142110 | + | 0.622627i | ||||
\(269\) | −12.0295 | − | 15.0845i | −0.733450 | − | 0.919717i | 0.265565 | − | 0.964093i | \(-0.414442\pi\) |
−0.999015 | + | 0.0443759i | \(0.985870\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.97657 | − | 17.4225i | −0.241560 | − | 1.05834i | −0.939598 | − | 0.342281i | \(-0.888800\pi\) |
0.698038 | − | 0.716061i | \(-0.254057\pi\) | |||||||
\(272\) | −0.659120 | − | 2.88779i | −0.0399650 | − | 0.175098i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.924145 | + | 4.04895i | −0.0558297 | + | 0.244606i | ||||
\(275\) | 5.18370 | 0.312589 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.88358 | + | 25.7777i | −0.353510 | + | 1.54883i | 0.415500 | + | 0.909593i | \(0.363606\pi\) |
−0.769011 | + | 0.639236i | \(0.779251\pi\) | |||||||
\(278\) | −5.89796 | + | 2.84031i | −0.353736 | + | 0.170350i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.2637 | − | 4.62044i | 0.732895 | − | 0.276124i | ||||
\(281\) | −4.51391 | + | 5.66027i | −0.269278 | + | 0.337663i | −0.898024 | − | 0.439947i | \(-0.854997\pi\) |
0.628746 | + | 0.777611i | \(0.283569\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.97448 | + | 2.47592i | −0.117371 | + | 0.147178i | −0.837046 | − | 0.547133i | \(-0.815719\pi\) |
0.719675 | + | 0.694311i | \(0.244291\pi\) | |||||||
\(284\) | 3.81759 | − | 1.83845i | 0.226532 | − | 0.109092i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.2119 | + | 6.84409i | 0.840367 | + | 0.404699i | ||||
\(287\) | 10.8569 | − | 11.3843i | 0.640860 | − | 0.671996i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.50099 | − | 2.64914i | −0.323587 | − | 0.155832i | ||||
\(290\) | −2.29609 | − | 10.0598i | −0.134831 | − | 0.590734i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.77559 | + | 2.22652i | −0.103909 | + | 0.130297i | ||||
\(293\) | −28.7842 | −1.68159 | −0.840797 | − | 0.541351i | \(-0.817913\pi\) | ||||
−0.840797 | + | 0.541351i | \(0.817913\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.77654 | −0.103434 | ||||||||
\(296\) | 4.09205 | − | 5.13127i | 0.237846 | − | 0.298249i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.99203 | − | 8.72766i | −0.115395 | − | 0.505580i | ||||
\(299\) | 9.73139 | + | 4.68639i | 0.562781 | + | 0.271021i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.72707 | − | 19.9414i | −0.157186 | − | 1.14940i | ||||
\(302\) | 14.8279 | + | 7.14075i | 0.853251 | + | 0.410904i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.99788 | − | 0.962126i | 0.114586 | − | 0.0551817i | ||||
\(305\) | 7.30783 | − | 9.16373i | 0.418445 | − | 0.524713i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.6637 | + | 13.3718i | −0.608608 | + | 0.763171i | −0.986692 | − | 0.162601i | \(-0.948012\pi\) |
0.378084 | + | 0.925771i | \(0.376583\pi\) | |||||||
\(308\) | −8.25162 | + | 8.65251i | −0.470180 | + | 0.493023i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −9.96640 | + | 4.79956i | −0.566053 | + | 0.272597i | ||||
\(311\) | −1.22057 | + | 5.34767i | −0.0692122 | + | 0.303238i | −0.997672 | − | 0.0681944i | \(-0.978276\pi\) |
0.928460 | + | 0.371433i | \(0.121133\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.8174 | −1.00710 | −0.503549 | − | 0.863967i | \(-0.667973\pi\) | ||||
−0.503549 | + | 0.863967i | \(0.667973\pi\) | |||||||
\(314\) | 1.32829 | − | 5.81961i | 0.0749596 | − | 0.328419i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.35796 | − | 10.3309i | −0.132646 | − | 0.581159i | ||||
\(317\) | 3.86268 | + | 16.9235i | 0.216950 | + | 0.950520i | 0.959717 | + | 0.280970i | \(0.0906560\pi\) |
−0.742767 | + | 0.669550i | \(0.766487\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.4391 | + | 18.1061i | 0.808435 | + | 1.01375i | ||||
\(320\) | −1.40210 | − | 6.14299i | −0.0783796 | − | 0.343404i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.59912 | − | 2.72540i | 0.144843 | − | 0.151880i | ||||
\(323\) | 3.84905 | − | 16.8638i | 0.214167 | − | 0.938327i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.46478 | 0.525012 | ||||||||
\(326\) | −0.691551 | + | 3.02988i | −0.0383015 | + | 0.167810i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.91692 | − | 12.4354i | −0.547570 | − | 0.686631i | ||||
\(329\) | 11.8040 | + | 17.8329i | 0.650773 | + | 0.983158i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.01232 | + | 17.5791i | −0.220537 | + | 0.966236i | 0.736538 | + | 0.676396i | \(0.236459\pi\) |
−0.957075 | + | 0.289840i | \(0.906398\pi\) | |||||||
\(332\) | 1.73160 | − | 2.17136i | 0.0950341 | − | 0.119169i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.76779 | + | 2.21674i | 0.0967291 | + | 0.121294i | ||||
\(335\) | −12.7327 | − | 6.13175i | −0.695662 | − | 0.335013i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.1186 | + | 8.24390i | −0.932511 | + | 0.449074i | −0.837521 | − | 0.546404i | \(-0.815996\pi\) |
−0.0949899 | + | 0.995478i | \(0.530282\pi\) | |||||||
\(338\) | 16.6515 | + | 8.01892i | 0.905719 | + | 0.436172i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.9852 | + | 5.29019i | 0.595755 | + | 0.286901i | ||||
\(341\) | 15.4793 | − | 19.4104i | 0.838249 | − | 1.05113i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.9416 | + | 10.9430i | −0.806769 | + | 0.590867i | ||||
\(344\) | −20.3499 | −1.09719 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.39791 | + | 0.673197i | 0.0751520 | + | 0.0361913i | ||||
\(347\) | 5.49342 | + | 24.0682i | 0.294902 | + | 1.29205i | 0.877613 | + | 0.479370i | \(0.159135\pi\) |
−0.582711 | + | 0.812680i | \(0.698008\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −21.0536 | + | 10.1389i | −1.12697 | + | 0.542722i | −0.902040 | − | 0.431652i | \(-0.857931\pi\) |
−0.224933 | + | 0.974374i | \(0.572216\pi\) | |||||||
\(350\) | 1.01581 | − | 3.13992i | 0.0542973 | − | 0.167836i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 12.0105 | + | 15.0607i | 0.640164 | + | 0.802741i | ||||
\(353\) | −9.74754 | + | 4.69417i | −0.518809 | + | 0.249845i | −0.674916 | − | 0.737895i | \(-0.735820\pi\) |
0.156106 | + | 0.987740i | \(0.450106\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.27450 | + | 5.58394i | −0.0676433 | + | 0.296365i | ||||
\(356\) | 4.13133 | − | 5.18052i | 0.218960 | − | 0.274567i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.84408 | − | 6.07429i | −0.256018 | − | 0.321036i | ||||
\(359\) | 5.60658 | − | 2.69999i | 0.295904 | − | 0.142500i | −0.280042 | − | 0.959988i | \(-0.590348\pi\) |
0.575946 | + | 0.817488i | \(0.304634\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.05065 | −0.318455 | ||||||||
\(362\) | −9.30351 | −0.488981 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.0664 | + | 15.7984i | −0.789694 | + | 0.828060i | ||||
\(365\) | −0.856591 | − | 3.75297i | −0.0448360 | − | 0.196439i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.43146 | + | 5.55687i | 0.231320 | + | 0.290066i | 0.883922 | − | 0.467635i | \(-0.154894\pi\) |
−0.652601 | + | 0.757701i | \(0.726322\pi\) | |||||||
\(368\) | 0.688942 | + | 0.863906i | 0.0359136 | + | 0.0450342i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.802482 | + | 3.51590i | 0.0417190 | + | 0.182783i | ||||
\(371\) | 30.9210 | + | 2.74331i | 1.60534 | + | 0.142426i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 18.6719 | 0.966797 | 0.483398 | − | 0.875401i | \(-0.339402\pi\) | ||||
0.483398 | + | 0.875401i | \(0.339402\pi\) | |||||||
\(374\) | 12.5879 | 0.650907 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 19.4811 | − | 9.38161i | 1.00466 | − | 0.483820i | ||||
\(377\) | 26.3640 | + | 33.0594i | 1.35781 | + | 1.70264i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.9657 | − | 17.5124i | 0.717370 | − | 0.899553i | −0.280816 | − | 0.959762i | \(-0.590605\pi\) |
0.998186 | + | 0.0602084i | \(0.0191765\pi\) | |||||||
\(380\) | −2.03111 | + | 8.89887i | −0.104194 | + | 0.456503i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 6.31046 | − | 3.03896i | 0.322871 | − | 0.155486i | ||||
\(383\) | −11.0617 | − | 13.8709i | −0.565226 | − | 0.708770i | 0.414289 | − | 0.910146i | \(-0.364030\pi\) |
−0.979514 | + | 0.201375i | \(0.935459\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.18981 | − | 16.0127i | −0.111603 | − | 0.816084i | ||||
\(386\) | 5.87605 | − | 2.82976i | 0.299083 | − | 0.144031i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3.49278 | + | 15.3029i | 0.177319 | + | 0.776886i | ||||
\(389\) | −31.7739 | − | 15.3015i | −1.61100 | − | 0.775818i | −0.611126 | − | 0.791534i | \(-0.709283\pi\) |
−0.999876 | + | 0.0157159i | \(0.994997\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.61941 | 0.435902 | ||||||||
\(392\) | 8.91524 | + | 16.4668i | 0.450288 | + | 0.831700i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.61090 | − | 4.52793i | 0.181915 | − | 0.228114i | ||||
\(395\) | 12.9052 | + | 6.21481i | 0.649330 | + | 0.312701i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.7510 | + | 7.10371i | 0.740332 | + | 0.356525i | 0.765738 | − | 0.643152i | \(-0.222374\pi\) |
−0.0254064 | + | 0.999677i | \(0.508088\pi\) | |||||||
\(398\) | −0.998120 | + | 0.480669i | −0.0500312 | + | 0.0240938i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.872386 | + | 0.420119i | 0.0436193 | + | 0.0210059i | ||||
\(401\) | −15.0216 | − | 18.8365i | −0.750142 | − | 0.940648i | 0.249474 | − | 0.968382i | \(-0.419742\pi\) |
−0.999615 | + | 0.0277336i | \(0.991171\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 28.2632 | − | 35.4409i | 1.40789 | − | 1.76544i | ||||
\(404\) | 5.29123 | − | 23.1824i | 0.263248 | − | 1.15337i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 13.7969 | − | 5.19808i | 0.684728 | − | 0.257976i | ||||
\(407\) | −5.04645 | − | 6.32805i | −0.250143 | − | 0.313670i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.296490 | − | 1.29901i | 0.0146605 | − | 0.0642317i | −0.967069 | − | 0.254516i | \(-0.918084\pi\) |
0.981729 | + | 0.190284i | \(0.0609410\pi\) | |||||||
\(410\) | 8.73976 | 0.431626 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.11573 | + | 13.6509i | −0.153501 | + | 0.672532i | ||||
\(413\) | −0.343936 | − | 2.51499i | −0.0169240 | − | 0.123755i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.835370 | + | 3.65999i | 0.0410067 | + | 0.179662i | ||||
\(416\) | 21.9297 | + | 27.4990i | 1.07519 | + | 1.34825i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.09696 | + | 9.18739i | 0.102566 | + | 0.449370i | ||||
\(419\) | 4.50536 | + | 19.7393i | 0.220101 | + | 0.964328i | 0.957401 | + | 0.288762i | \(0.0932435\pi\) |
−0.737300 | + | 0.675566i | \(0.763899\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.06152 | − | 17.7947i | 0.197946 | − | 0.867260i | −0.774210 | − | 0.632928i | \(-0.781853\pi\) |
0.972157 | − | 0.234332i | \(-0.0752901\pi\) | |||||||
\(422\) | −7.54231 | −0.367154 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.98407 | − | 30.5992i | 0.339177 | − | 1.48603i | ||||
\(425\) | 6.80508 | − | 3.27715i | 0.330095 | − | 0.158965i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.3876 | + | 8.57138i | 0.696265 | + | 0.414798i | ||||
\(428\) | −14.5928 | + | 18.2988i | −0.705370 | + | 0.884506i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.97177 | − | 8.74232i | 0.336209 | − | 0.421592i | ||||
\(431\) | −4.37009 | + | 2.10452i | −0.210500 | + | 0.101371i | −0.536163 | − | 0.844115i | \(-0.680127\pi\) |
0.325663 | + | 0.945486i | \(0.394412\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.3356 | − | 9.31154i | −0.929210 | − | 0.447484i | −0.0928597 | − | 0.995679i | \(-0.529601\pi\) |
−0.836350 | + | 0.548195i | \(0.815315\pi\) | |||||||
\(434\) | −8.72408 | − | 13.1799i | −0.418769 | − | 0.632657i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.9592 | − | 5.27769i | −0.524852 | − | 0.252755i | ||||
\(437\) | 1.43586 | + | 6.29093i | 0.0686867 | + | 0.300936i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.74661 | + | 7.20602i | −0.274271 | + | 0.343925i | −0.899821 | − | 0.436259i | \(-0.856303\pi\) |
0.625550 | + | 0.780184i | \(0.284874\pi\) | |||||||
\(440\) | −16.3407 | −0.779012 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.9840 | 1.09324 | ||||||||
\(443\) | 18.7955 | − | 23.5688i | 0.893002 | − | 1.11979i | −0.0991904 | − | 0.995068i | \(-0.531625\pi\) |
0.992192 | − | 0.124720i | \(-0.0398033\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.99306 | + | 8.73216i | 0.0944800 | + | 0.413944i | ||||
\(446\) | 17.2667 | + | 8.31519i | 0.817601 | + | 0.393736i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.42500 | − | 3.17418i | 0.398044 | − | 0.149966i | ||||
\(449\) | 2.43196 | + | 1.17117i | 0.114771 | + | 0.0552708i | 0.490388 | − | 0.871504i | \(-0.336855\pi\) |
−0.375617 | + | 0.926775i | \(0.622569\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.6727 | + | 8.51070i | −0.832173 | + | 0.400753i | ||||
\(452\) | 14.2628 | − | 17.8850i | 0.670865 | − | 0.841239i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.69173 | − | 5.88324i | 0.220194 | − | 0.276114i | ||||
\(455\) | −3.99831 | − | 29.2372i | −0.187443 | − | 1.37066i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.31029 | − | 2.55730i | 0.248405 | − | 0.119626i | −0.305539 | − | 0.952180i | \(-0.598837\pi\) |
0.553944 | + | 0.832554i | \(0.313122\pi\) | |||||||
\(458\) | −1.98659 | + | 8.70382i | −0.0928273 | + | 0.406703i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.54838 | −0.212070 | ||||||||
\(461\) | 4.52727 | − | 19.8353i | 0.210856 | − | 0.923820i | −0.753131 | − | 0.657871i | \(-0.771457\pi\) |
0.963987 | − | 0.265950i | \(-0.0856855\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.03725 | + | 22.0697i | 0.234101 | + | 1.02566i | 0.946199 | + | 0.323584i | \(0.104888\pi\) |
−0.712098 | + | 0.702080i | \(0.752255\pi\) | |||||||
\(464\) | 0.962589 | + | 4.21738i | 0.0446871 | + | 0.195787i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.13468 | − | 2.67681i | −0.0988874 | − | 0.124001i | ||||
\(467\) | −5.09404 | − | 22.3184i | −0.235724 | − | 1.03277i | −0.944802 | − | 0.327643i | \(-0.893746\pi\) |
0.709078 | − | 0.705130i | \(-0.249112\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.21550 | − | 19.2124i | 0.287005 | − | 0.887147i | ||||
\(470\) | −2.64379 | + | 11.5832i | −0.121949 | + | 0.534293i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.56651 | −0.118133 | ||||||||
\(473\) | −5.58441 | + | 24.4669i | −0.256771 | + | 1.12499i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.52547 | + | 4.42081i | 0.161760 | + | 0.202840i | ||||
\(476\) | −5.36244 | + | 16.5756i | −0.245787 | + | 0.759740i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.10918 | + | 13.6222i | −0.142211 | + | 0.623065i | ||||
\(479\) | 3.24393 | − | 4.06776i | 0.148219 | − | 0.185861i | −0.702179 | − | 0.712000i | \(-0.747790\pi\) |
0.850398 | + | 0.526139i | \(0.176361\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.21417 | − | 11.5542i | −0.420130 | − | 0.526827i | ||||
\(482\) | 2.02101 | + | 0.973268i | 0.0920546 | + | 0.0443312i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.144301 | + | 0.0694918i | −0.00655915 | + | 0.00315872i | ||||
\(485\) | −19.1161 | − | 9.20583i | −0.868017 | − | 0.418015i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.0767 | − | 14.0026i | −1.31759 | − | 0.634519i | −0.362821 | − | 0.931859i | \(-0.618186\pi\) |
−0.954772 | + | 0.297339i | \(0.903901\pi\) | |||||||
\(488\) | 10.5574 | − | 13.2385i | 0.477910 | − | 0.599280i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −10.1285 | − | 1.81146i | −0.457558 | − | 0.0818333i | ||||
\(491\) | 27.8108 | 1.25508 | 0.627541 | − | 0.778583i | \(-0.284061\pi\) | ||||
0.627541 | + | 0.778583i | \(0.284061\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 30.4021 | + | 14.6409i | 1.36924 | + | 0.659393i | ||||
\(494\) | 3.82878 | + | 16.7750i | 0.172265 | + | 0.754743i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.17820 | − | 2.01212i | 0.187607 | − | 0.0903467i | ||||
\(497\) | −8.15175 | − | 0.723224i | −0.365656 | − | 0.0324410i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.9403 | − | 25.0043i | −0.892649 | − | 1.11935i | −0.992242 | − | 0.124318i | \(-0.960326\pi\) |
0.0995934 | − | 0.995028i | \(-0.468246\pi\) | |||||||
\(500\) | −15.0176 | + | 7.23210i | −0.671608 | + | 0.323429i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.186233 | − | 0.815939i | 0.00831198 | − | 0.0364172i | ||||
\(503\) | −8.92014 | + | 11.1855i | −0.397729 | + | 0.498737i | −0.939861 | − | 0.341557i | \(-0.889046\pi\) |
0.542132 | + | 0.840293i | \(0.317617\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 20.0403 | + | 25.1297i | 0.891780 | + | 1.11826i | ||||
\(506\) | −4.23082 | + | 2.03745i | −0.188083 | + | 0.0905759i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.6876 | −0.562921 | ||||||||
\(509\) | −13.2013 | −0.585136 | −0.292568 | − | 0.956245i | \(-0.594510\pi\) | ||||
−0.292568 | + | 0.956245i | \(0.594510\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.14713 | − | 1.93922i | 0.227696 | − | 0.0857860i | ||||
\(512\) | 1.53430 | + | 6.72221i | 0.0678071 | + | 0.297082i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.4070 | − | 18.0658i | −0.635466 | − | 0.796849i | ||||
\(515\) | −11.8007 | − | 14.7976i | −0.520000 | − | 0.652059i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.93362 | − | 25.9969i | −0.260960 | − | 1.14334i | ||||
\(518\) | −4.82200 | + | 1.81672i | −0.211866 | + | 0.0798222i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −29.8360 | −1.30840 | ||||||||
\(521\) | 26.2490 | 1.14999 | 0.574996 | − | 0.818156i | \(-0.305004\pi\) | ||||
0.574996 | + | 0.818156i | \(0.305004\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.81908 | + | 4.24705i | −0.385631 | + | 0.185710i | −0.616647 | − | 0.787240i | \(-0.711509\pi\) |
0.231016 | + | 0.972950i | \(0.425795\pi\) | |||||||
\(524\) | 5.02555 | + | 6.30184i | 0.219542 | + | 0.275297i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.4035 | + | 16.8075i | −0.584422 | + | 0.732842i | ||||
\(527\) | 8.04961 | − | 35.2677i | 0.350647 | − | 1.53628i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.8253 | − | 8.58421i | 0.775013 | − | 0.373226i | ||||
\(530\) | 10.7527 | + | 13.4835i | 0.467070 | + | 0.585687i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12.9911 | − | 1.15257i | −0.563235 | − | 0.0499702i | ||||
\(533\) | −32.2680 | + | 15.5395i | −1.39768 | + | 0.673088i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.03994 | − | 30.8440i | −0.304363 | − | 1.33350i | ||||
\(536\) | −18.3945 | − | 8.85834i | −0.794522 | − | 0.382622i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 15.3157 | 0.660307 | ||||||||
\(539\) | 22.2448 | − | 6.20008i | 0.958150 | − | 0.267057i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.2505 | + | 16.6156i | −0.569684 | + | 0.714361i | −0.980315 | − | 0.197441i | \(-0.936737\pi\) |
0.410631 | + | 0.911802i | \(0.365308\pi\) | |||||||
\(542\) | 12.7811 | + | 6.15505i | 0.548995 | + | 0.264382i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 25.2887 | + | 12.1784i | 1.08424 | + | 0.522144i | ||||
\(545\) | 14.8139 | − | 7.13399i | 0.634557 | − | 0.305586i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.91812 | + | 2.85002i | 0.253040 | + | 0.121858i | 0.556105 | − | 0.831112i | \(-0.312295\pi\) |
−0.303064 | + | 0.952970i | \(0.598010\pi\) | |||||||
\(548\) | 4.46842 | + | 5.60322i | 0.190881 | + | 0.239358i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.56560 | + | 3.21716i | −0.109398 | + | 0.137180i | ||||
\(551\) | −5.62121 | + | 24.6281i | −0.239472 | + | 1.04919i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.29969 | + | 19.4727i | −0.267890 | + | 0.828062i | ||||
\(554\) | −13.0864 | − | 16.4098i | −0.555988 | − | 0.697187i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.51373 | + | 11.0134i | −0.106606 | + | 0.467071i | ||||
\(557\) | −27.6602 | −1.17200 | −0.586001 | − | 0.810310i | \(-0.699299\pi\) | ||||
−0.586001 | + | 0.810310i | \(0.699299\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.1964 | + | 44.6734i | −0.431262 | + | 1.88948i | ||||
\(560\) | 0.929237 | − | 2.87232i | 0.0392674 | − | 0.121378i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.27884 | − | 5.60294i | −0.0539444 | − | 0.236346i | ||||
\(563\) | 19.3807 | + | 24.3027i | 0.816801 | + | 1.02424i | 0.999159 | + | 0.0410037i | \(0.0130555\pi\) |
−0.182358 | + | 0.983232i | \(0.558373\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.88073 | + | 30.1465i | 0.289475 | + | 1.26827i | ||||
\(566\) | −0.559390 | − | 2.45085i | −0.0235129 | − | 0.103017i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.84122 | + | 8.06693i | −0.0772560 | + | 0.338481i | ||||
\(569\) | −24.2804 | −1.01789 | −0.508943 | − | 0.860800i | \(-0.669963\pi\) | ||||
−0.508943 | + | 0.860800i | \(0.669963\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.61681 | + | 33.3714i | −0.318754 | + | 1.39655i | 0.520987 | + | 0.853564i | \(0.325564\pi\) |
−0.839741 | + | 0.542987i | \(0.817293\pi\) | |||||||
\(572\) | 24.5249 | − | 11.8106i | 1.02544 | − | 0.493824i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.69201 | + | 12.3726i | 0.0706230 | + | 0.516423i | ||||
\(575\) | −1.75676 | + | 2.20291i | −0.0732619 | + | 0.0918676i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.82975 | − | 8.56423i | 0.284326 | − | 0.356534i | −0.619074 | − | 0.785333i | \(-0.712492\pi\) |
0.903400 | + | 0.428799i | \(0.141063\pi\) | |||||||
\(578\) | 4.36677 | − | 2.10293i | 0.181634 | − | 0.0874702i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −16.0429 | − | 7.72586i | −0.666146 | − | 0.320799i | ||||
\(581\) | −5.01962 | + | 1.89118i | −0.208249 | + | 0.0784593i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −34.8733 | − | 16.7941i | −1.44430 | − | 0.695539i | ||||
\(584\) | −1.23749 | − | 5.42179i | −0.0512076 | − | 0.224355i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 14.2464 | − | 17.8644i | 0.588512 | − | 0.737971i | ||||
\(587\) | 3.78119 | 0.156067 | 0.0780333 | − | 0.996951i | \(-0.475136\pi\) | ||||
0.0780333 | + | 0.996951i | \(0.475136\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 27.0813 | 1.11586 | ||||||||
\(590\) | 0.879274 | − | 1.10258i | 0.0361991 | − | 0.0453923i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.336423 | − | 1.47397i | −0.0138269 | − | 0.0605797i | ||||
\(593\) | 2.44453 | + | 1.17722i | 0.100385 | + | 0.0483428i | 0.483402 | − | 0.875398i | \(-0.339401\pi\) |
−0.383017 | + | 0.923741i | \(0.625115\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.9980 | − | 19.6368i | −0.532867 | − | 0.805031i | ||||
\(596\) | −13.9184 | − | 6.70276i | −0.570121 | − | 0.274556i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.72493 | + | 3.72013i | −0.315896 | + | 0.152127i | ||||
\(599\) | −6.68170 | + | 8.37858i | −0.273007 | + | 0.342340i | −0.899367 | − | 0.437194i | \(-0.855972\pi\) |
0.626361 | + | 0.779533i | \(0.284544\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.9684 | + | 37.5791i | −1.22244 | + | 1.53289i | −0.456860 | + | 0.889539i | \(0.651026\pi\) |
−0.765575 | + | 0.643347i | \(0.777545\pi\) | |||||||
\(602\) | 13.7260 | + | 8.17722i | 0.559429 | + | 0.333279i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 25.5879 | − | 12.3225i | 1.04116 | − | 0.501395i | ||||
\(605\) | 0.0481748 | − | 0.211068i | 0.00195858 | − | 0.00858112i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 34.5262 | 1.40138 | 0.700688 | − | 0.713468i | \(-0.252876\pi\) | ||||
0.700688 | + | 0.713468i | \(0.252876\pi\) | |||||||
\(608\) | −4.67576 | + | 20.4858i | −0.189627 | + | 0.830811i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.07038 | + | 9.07092i | 0.0838272 | + | 0.367271i | ||||
\(611\) | −10.8340 | − | 47.4670i | −0.438298 | − | 1.92031i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −21.7059 | − | 27.2183i | −0.876691 | − | 1.09934i | −0.994336 | − | 0.106280i | \(-0.966106\pi\) |
0.117645 | − | 0.993056i | \(-0.462465\pi\) | |||||||
\(614\) | −3.02112 | − | 13.2364i | −0.121923 | − | 0.534178i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.16354 | − | 23.1330i | −0.127463 | − | 0.932057i | ||||
\(617\) | −6.17548 | + | 27.0565i | −0.248615 | + | 1.08925i | 0.684312 | + | 0.729189i | \(0.260103\pi\) |
−0.932927 | + | 0.360065i | \(0.882754\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.727486 | 0.0292401 | 0.0146201 | − | 0.999893i | \(-0.495346\pi\) | ||||
0.0146201 | + | 0.999893i | \(0.495346\pi\) | |||||||
\(620\) | −4.24771 | + | 18.6104i | −0.170592 | + | 0.747412i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.71482 | − | 3.40428i | −0.108854 | − | 0.136499i | ||||
\(623\) | −11.9760 | + | 4.51205i | −0.479808 | + | 0.180771i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.26535 | − | 14.3064i | 0.130614 | − | 0.572258i | ||||
\(626\) | 8.81847 | − | 11.0580i | 0.352457 | − | 0.441967i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.42252 | − | 8.05359i | −0.256286 | − | 0.321373i | ||||
\(629\) | −10.6255 | − | 5.11697i | −0.423667 | − | 0.204027i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.5841 | + | 12.8022i | −1.05829 | + | 0.509648i | −0.880317 | − | 0.474387i | \(-0.842670\pi\) |
−0.177978 | + | 0.984034i | \(0.556956\pi\) | |||||||
\(632\) | 18.6437 | + | 8.97833i | 0.741606 | + | 0.357139i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −12.4150 | − | 5.97877i | −0.493064 | − | 0.237447i | ||||
\(635\) | 10.6929 | − | 13.4085i | 0.424337 | − | 0.532101i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 40.6161 | − | 11.3206i | 1.60927 | − | 0.448537i | ||||
\(638\) | −18.3836 | −0.727814 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14.9767 | − | 7.21242i | −0.592008 | − | 0.285096i | ||||
\(641\) | 1.51293 | + | 6.62858i | 0.0597572 | + | 0.261813i | 0.995978 | − | 0.0895992i | \(-0.0285586\pi\) |
−0.936221 | + | 0.351413i | \(0.885701\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.16064 | − | 3.44838i | 0.282388 | − | 0.135991i | −0.287329 | − | 0.957832i | \(-0.592767\pi\) |
0.569717 | + | 0.821841i | \(0.307053\pi\) | |||||||
\(644\) | −0.880562 | − | 6.43901i | −0.0346990 | − | 0.253733i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.56115 | + | 10.7353i | 0.336834 | + | 0.422376i | ||||
\(647\) | 7.46060 | − | 3.59283i | 0.293306 | − | 0.141249i | −0.281444 | − | 0.959578i | \(-0.590813\pi\) |
0.574750 | + | 0.818329i | \(0.305099\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.704301 | + | 3.08575i | −0.0276462 | + | 0.121126i | ||||
\(650\) | −4.68446 | + | 5.87413i | −0.183740 | + | 0.230402i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.34378 | + | 4.19297i | 0.130953 | + | 0.164209i | ||||
\(653\) | 15.5558 | − | 7.49130i | 0.608747 | − | 0.293157i | −0.104001 | − | 0.994577i | \(-0.533165\pi\) |
0.712748 | + | 0.701420i | \(0.247450\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.8954 | −0.425718 | ||||||||
\(656\) | −3.66396 | −0.143054 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −16.9098 | − | 1.50024i | −0.659214 | − | 0.0584855i | ||||
\(659\) | 0.699457 | + | 3.06452i | 0.0272470 | + | 0.119377i | 0.986723 | − | 0.162415i | \(-0.0519284\pi\) |
−0.959476 | + | 0.281792i | \(0.909071\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.6441 | − | 17.1091i | −0.530693 | − | 0.665468i | 0.442148 | − | 0.896942i | \(-0.354217\pi\) |
−0.972841 | + | 0.231474i | \(0.925645\pi\) | |||||||
\(662\) | −8.92429 | − | 11.1907i | −0.346852 | − | 0.434939i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.20683 | + | 5.28747i | 0.0468341 | + | 0.205194i | ||||
\(665\) | 12.1668 | − | 12.7579i | 0.471807 | − | 0.494730i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.5879 | −0.487406 | ||||||||
\(668\) | 4.89278 | 0.189308 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.1074 | − | 4.86748i | 0.390484 | − | 0.188047i | ||||
\(671\) | −13.0197 | − | 16.3262i | −0.502620 | − | 0.630265i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.21700 | − | 7.79587i | 0.239648 | − | 0.300509i | −0.647434 | − | 0.762122i | \(-0.724158\pi\) |
0.887081 | + | 0.461613i | \(0.152729\pi\) | |||||||
\(674\) | 3.35622 | − | 14.7045i | 0.129277 | − | 0.566398i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 28.7347 | − | 13.8379i | 1.10518 | − | 0.532228i | ||||
\(677\) | 21.2670 | + | 26.6680i | 0.817358 | + | 1.02493i | 0.999135 | + | 0.0415945i | \(0.0132437\pi\) |
−0.181777 | + | 0.983340i | \(0.558185\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.33156 | − | 28.8443i | 0.358112 | − | 1.10694i | ||||
\(680\) | −21.4518 | + | 10.3306i | −0.822639 | + | 0.396162i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.38543 | + | 19.2138i | 0.167927 | + | 0.735735i | ||||
\(683\) | −30.9267 | − | 14.8935i | −1.18338 | − | 0.569884i | −0.264483 | − | 0.964390i | \(-0.585201\pi\) |
−0.918893 | + | 0.394507i | \(0.870915\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.68753 | −0.370142 | ||||||||
\(686\) | 0.603563 | − | 14.6893i | 0.0230441 | − | 0.560839i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.92277 | + | 3.66503i | −0.111429 | + | 0.139728i | ||||
\(689\) | −63.6741 | − | 30.6638i | −2.42579 | − | 1.16820i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.1610 | + | 7.78271i | 0.614792 | + | 0.296068i | 0.715245 | − | 0.698874i | \(-0.246315\pi\) |
−0.100453 | + | 0.994942i | \(0.532029\pi\) | |||||||
\(692\) | 2.41231 | − | 1.16171i | 0.0917024 | − | 0.0441616i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.6564 | − | 8.50286i | −0.670226 | − | 0.322764i | ||||
\(695\) | −9.52062 | − | 11.9385i | −0.361138 | − | 0.452852i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.8199 | + | 22.3454i | −0.674976 | + | 0.846393i | ||||
\(698\) | 4.12769 | − | 18.0846i | 0.156235 | − | 0.684512i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.14336 | − | 4.74884i | −0.118808 | − | 0.179489i | ||||
\(701\) | 28.5937 | + | 35.8553i | 1.07997 | + | 1.35424i | 0.930843 | + | 0.365419i | \(0.119074\pi\) |
0.149125 | + | 0.988818i | \(0.452354\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.96461 | − | 8.60750i | 0.0740965 | − | 0.324638i | ||||
\(704\) | −11.2259 | −0.423091 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.91107 | − | 8.37294i | 0.0719240 | − | 0.315120i | ||||
\(707\) | −31.6956 | + | 33.2355i | −1.19203 | + | 1.24995i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.87092 | + | 38.8660i | 0.333154 | + | 1.45964i | 0.812985 | + | 0.582284i | \(0.197841\pi\) |
−0.479831 | + | 0.877361i | \(0.659302\pi\) | |||||||
\(710\) | −2.83477 | − | 3.55468i | −0.106387 | − | 0.133405i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.87931 | + | 12.6151i | 0.107907 | + | 0.472769i | ||||
\(713\) | 3.00286 | + | 13.1564i | 0.112458 | + | 0.492710i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.18760 | + | 35.8722i | −0.306199 | + | 1.34155i | ||||
\(716\) | −13.4072 | −0.501050 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.09921 | + | 4.81594i | −0.0410220 | + | 0.179729i | ||||
\(719\) | −5.13597 | + | 2.47335i | −0.191539 | + | 0.0922405i | −0.527195 | − | 0.849744i | \(-0.676756\pi\) |
0.335656 | + | 0.941985i | \(0.391042\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.6639 | − | 19.5707i | 0.695080 | − | 0.728849i | ||||
\(722\) | 2.99469 | − | 3.75522i | 0.111451 | − | 0.139755i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.0099 | + | 12.5521i | −0.372016 | + | 0.466494i | ||||
\(725\) | −9.93824 | + | 4.78600i | −0.369097 | + | 0.177748i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 36.9522 | + | 17.7952i | 1.37048 | + | 0.659989i | 0.966947 | − | 0.254976i | \(-0.0820675\pi\) |
0.403534 | + | 0.914965i | \(0.367782\pi\) | |||||||
\(728\) | −5.77622 | − | 42.2380i | −0.214081 | − | 1.56544i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.75316 | + | 1.32585i | 0.101899 | + | 0.0490721i | ||||
\(731\) | 8.13692 | + | 35.6502i | 0.300955 | + | 1.31857i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.6636 | − | 18.3875i | 0.541611 | − | 0.679159i | −0.433429 | − | 0.901188i | \(-0.642697\pi\) |
0.975040 | + | 0.222029i | \(0.0712680\pi\) | |||||||
\(734\) | −5.64205 | −0.208252 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.4707 | −0.385955 | ||||||||
\(737\) | −15.6983 | + | 19.6851i | −0.578255 | + | 0.725108i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.89968 | + | 38.9920i | 0.327380 | + | 1.43435i | 0.824105 | + | 0.566437i | \(0.191679\pi\) |
−0.496725 | + | 0.867908i | \(0.665464\pi\) | |||||||
\(740\) | 5.60698 | + | 2.70018i | 0.206117 | + | 0.0992606i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.0065 | + | 17.8327i | −0.624328 | + | 0.654660i | ||||
\(743\) | 12.8125 | + | 6.17017i | 0.470045 | + | 0.226362i | 0.653884 | − | 0.756595i | \(-0.273138\pi\) |
−0.183839 | + | 0.982956i | \(0.558853\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.8139 | − | 9.06030i | 0.689288 | − | 0.331944i | ||||
\(746\) | −9.24142 | + | 11.5884i | −0.338352 | + | 0.424281i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.5438 | − | 16.9833i | 0.495209 | − | 0.620972i | ||||
\(749\) | 42.3020 | − | 15.9376i | 1.54568 | − | 0.582347i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 34.1167 | − | 16.4297i | 1.24494 | − | 0.599530i | 0.308787 | − | 0.951131i | \(-0.400077\pi\) |
0.936150 | + | 0.351601i | \(0.114363\pi\) | |||||||
\(752\) | 1.10835 | − | 4.85601i | 0.0404175 | − | 0.177081i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −33.5661 | −1.22241 | ||||||||
\(755\) | −8.54250 | + | 37.4271i | −0.310893 | + | 1.36211i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.93459 | − | 39.1450i | −0.324733 | − | 1.42275i | −0.829023 | − | 0.559214i | \(-0.811103\pi\) |
0.504290 | − | 0.863534i | \(-0.331754\pi\) | |||||||
\(758\) | 3.95662 | + | 17.3351i | 0.143711 | + | 0.629638i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.1134 | − | 13.9358i | −0.403126 | − | 0.505505i | ||||
\(761\) | 4.39271 | + | 19.2457i | 0.159236 | + | 0.697656i | 0.990004 | + | 0.141038i | \(0.0450441\pi\) |
−0.830769 | + | 0.556618i | \(0.812099\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.9673 | + | 19.5904i | 0.469448 | + | 0.709221i | ||||
\(764\) | 2.68953 | − | 11.7836i | 0.0973039 | − | 0.426316i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 14.0835 | 0.508859 | ||||||||
\(767\) | −1.28596 | + | 5.63418i | −0.0464335 | + | 0.203438i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.09928 | + | 3.88637i | 0.111763 | + | 0.140146i | 0.834566 | − | 0.550907i | \(-0.185718\pi\) |
−0.722804 | + | 0.691054i | \(0.757147\pi\) | |||||||
\(770\) | 11.0218 | + | 6.56621i | 0.397198 | + | 0.236630i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.50439 | − | 10.9725i | 0.0901350 | − | 0.394907i | ||||
\(773\) | 27.2513 | − | 34.1720i | 0.980161 | − | 1.22908i | 0.00675910 | − | 0.999977i | \(-0.497848\pi\) |
0.973402 | − | 0.229105i | \(-0.0735801\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.37291 | + | 9.24533i | 0.264843 | + | 0.332102i | ||||
\(776\) | −27.6164 | − | 13.2993i | −0.991370 | − | 0.477419i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.2227 | − | 12.1466i | 0.904276 | − | 0.435476i | ||||
\(779\) | −19.2775 | − | 9.28354i | −0.690687 | − | 0.332617i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 9.19370 | + | 4.42745i | 0.328976 | + | 0.158427i | ||||
\(782\) | −4.26606 | + | 5.34947i | −0.152554 | + | 0.191297i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.24615 | + | 0.759415i | 0.151648 | + | 0.0271220i | ||||
\(785\) | 13.9240 | 0.496970 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −43.0879 | − | 20.7500i | −1.53592 | − | 0.739659i | −0.541064 | − | 0.840982i | \(-0.681978\pi\) |
−0.994854 | + | 0.101323i | \(0.967692\pi\) | |||||||
\(788\) | −2.22389 | − | 9.74348i | −0.0792227 | − | 0.347097i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −10.2443 | + | 4.93341i | −0.364477 | + | 0.175523i | ||||
\(791\) | −41.3453 | + | 15.5772i | −1.47007 | + | 0.553860i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23.7723 | − | 29.8095i | −0.844179 | − | 1.05857i | ||||
\(794\) | −11.7096 | + | 5.63904i | −0.415558 | + | 0.200122i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.425402 | + | 1.86381i | −0.0150780 | + | 0.0660608i | ||||
\(797\) | −0.921132 | + | 1.15506i | −0.0326282 | + | 0.0409145i | −0.797878 | − | 0.602819i | \(-0.794044\pi\) |
0.765250 | + | 0.643734i | \(0.222615\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.2249 | − | 30.3770i | −0.857014 | − | 1.07466i | ||||
\(800\) | −8.26669 | + | 3.98103i | −0.292272 | + | 0.140751i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 19.1252 | 0.675334 | ||||||||
\(803\) | −6.85827 | −0.242023 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.54701 | + | 4.49612i | 0.265997 | + | 0.158467i | ||||
\(806\) | 8.00723 | + | 35.0819i | 0.282043 | + | 1.23571i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.9515 | + | 36.3040i | 1.01851 | + | 1.27717i | ||||
\(809\) | −33.1446 | − | 41.5620i | −1.16530 | − | 1.46124i | −0.860956 | − | 0.508679i | \(-0.830134\pi\) |
−0.304344 | − | 0.952562i | \(-0.598437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.512939 | + | 2.24733i | 0.0180117 | + | 0.0789145i | 0.983135 | − | 0.182881i | \(-0.0585424\pi\) |
−0.965123 | + | 0.261796i | \(0.915685\pi\) | |||||||
\(812\) | 7.83138 | − | 24.2072i | 0.274828 | − | 0.849506i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.42505 | 0.225198 | ||||||||
\(815\) | −7.24932 | −0.253933 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.6640 | + | 11.8776i | −0.862885 | + | 0.415544i | ||||
\(818\) | 0.659459 | + | 0.826936i | 0.0230574 | + | 0.0289131i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.40338 | − | 11.7915i | 0.328380 | − | 0.411776i | ||||
\(821\) | −7.62373 | + | 33.4018i | −0.266070 | + | 1.16573i | 0.648472 | + | 0.761238i | \(0.275408\pi\) |
−0.914542 | + | 0.404491i | \(0.867449\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.7611 | + | 8.07174i | −0.584257 | + | 0.281363i | −0.702572 | − | 0.711613i | \(-0.747965\pi\) |
0.118315 | + | 0.992976i | \(0.462251\pi\) | |||||||
\(824\) | −17.0480 | − | 21.3776i | −0.593897 | − | 0.744723i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.73111 | + | 1.03130i | 0.0602330 | + | 0.0358837i | ||||
\(827\) | 28.9585 | − | 13.9457i | 1.00699 | − | 0.484938i | 0.143682 | − | 0.989624i | \(-0.454106\pi\) |
0.863303 | + | 0.504685i | \(0.168392\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.788686 | + | 3.45546i | 0.0273922 | + | 0.120013i | 0.986776 | − | 0.162093i | \(-0.0518243\pi\) |
−0.959383 | + | 0.282106i | \(0.908967\pi\) | |||||||
\(830\) | −2.68496 | − | 1.29301i | −0.0931962 | − | 0.0448809i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −20.4970 | −0.710605 | ||||||||
\(833\) | 25.2828 | − | 22.2026i | 0.875998 | − | 0.769273i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.12358 | + | 5.17080i | −0.142702 | + | 0.178943i | ||||
\(836\) | 14.6516 | + | 7.05583i | 0.506736 | + | 0.244031i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.4807 | − | 6.97352i | −0.500226 | − | 0.240896i | ||||
\(839\) | −11.7611 | + | 5.66385i | −0.406039 | + | 0.195538i | −0.625744 | − | 0.780028i | \(-0.715205\pi\) |
0.219706 | + | 0.975566i | \(0.429490\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.2716 | − | 8.79915i | −0.630056 | − | 0.303419i | ||||
\(842\) | 9.03373 | + | 11.3279i | 0.311323 | + | 0.390387i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.11501 | + | 10.1759i | −0.279330 | + | 0.350269i | ||||
\(845\) | −9.59305 | + | 42.0299i | −0.330011 | + | 1.44587i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.308129 | + | 0.0273372i | 0.0105874 | + | 0.000939316i | ||||
\(848\) | −4.50786 | − | 5.65268i | −0.154801 | − | 0.194114i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.33418 | + | 5.84542i | −0.0457619 | + | 0.200496i | ||||
\(851\) | 4.39946 | 0.150812 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.07156 | − | 9.07611i | 0.0709289 | − | 0.310760i | −0.927002 | − | 0.375057i | \(-0.877623\pi\) |
0.997931 | + | 0.0642967i | \(0.0204804\pi\) | |||||||
\(854\) | −12.4406 | + | 4.68709i | −0.425709 | + | 0.160389i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.1704 | − | 44.5593i | −0.347616 | − | 1.52300i | ||||
\(857\) | 22.3451 | + | 28.0199i | 0.763296 | + | 0.957143i | 0.999895 | − | 0.0144646i | \(-0.00460439\pi\) |
−0.236600 | + | 0.971607i | \(0.576033\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.49122 | − | 10.9147i | −0.0849992 | − | 0.372406i | 0.914482 | − | 0.404628i | \(-0.132599\pi\) |
−0.999481 | + | 0.0322218i | \(0.989742\pi\) | |||||||
\(860\) | −4.29378 | − | 18.8123i | −0.146417 | − | 0.641493i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.856784 | − | 3.75381i | 0.0291822 | − | 0.127855i | ||||
\(863\) | 18.2005 | 0.619551 | 0.309776 | − | 0.950810i | \(-0.399746\pi\) | ||||
0.309776 | + | 0.950810i | \(0.399746\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.805348 | + | 3.52846i | −0.0273826 | + | 0.119971i | ||||
\(866\) | 15.3489 | − | 7.39165i | 0.521577 | − | 0.251178i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −27.1686 | − | 2.41039i | −0.922161 | − | 0.0818141i | ||||
\(869\) | 15.9109 | − | 19.9517i | 0.539742 | − | 0.676815i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −28.6631 | + | 35.9424i | −0.971212 | + | 1.21786i | ||||
\(872\) | 21.4011 | − | 10.3062i | 0.724733 | − | 0.349013i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.61501 | − | 2.22247i | −0.156105 | − | 0.0751761i | ||||
\(875\) | 32.0673 | + | 2.84501i | 1.08407 | + | 0.0961790i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 32.5063 | + | 15.6542i | 1.09766 | + | 0.528605i | 0.892922 | − | 0.450212i | \(-0.148652\pi\) |
0.204738 | + | 0.978817i | \(0.434366\pi\) | |||||||
\(878\) | −1.62807 | − | 7.13304i | −0.0549447 | − | 0.240728i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.34695 | + | 2.94298i | −0.0791156 | + | 0.0992078i | ||||
\(881\) | 46.6618 | 1.57208 | 0.786038 | − | 0.618178i | \(-0.212129\pi\) | ||||
0.786038 | + | 0.618178i | \(0.212129\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.4556 | −0.957608 | −0.478804 | − | 0.877922i | \(-0.658930\pi\) | ||||
−0.478804 | + | 0.877922i | \(0.658930\pi\) | |||||||
\(884\) | 24.7292 | − | 31.0094i | 0.831732 | − | 1.04296i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.32495 | + | 23.3301i | 0.178895 | + | 0.783791i | ||||
\(887\) | 45.1380 | + | 21.7373i | 1.51558 | + | 0.729867i | 0.992481 | − | 0.122402i | \(-0.0390597\pi\) |
0.523104 | + | 0.852269i | \(0.324774\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 21.0522 | + | 12.5418i | 0.706068 | + | 0.420639i | ||||
\(890\) | −6.40588 | − | 3.08491i | −0.214726 | − | 0.103406i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 29.7964 | − | 14.3492i | 0.997657 | − | 0.480446i | ||||
\(893\) | 18.1354 | − | 22.7410i | 0.606877 | − | 0.760999i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.2994 | − | 14.1690i | 0.377697 | − | 0.473617i | ||||
\(896\) | 7.31093 | − | 22.5984i | 0.244241 | − | 0.754961i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.93053 | + | 0.929692i | −0.0644225 | + | 0.0310242i | ||||
\(899\) | −11.7558 | + | 51.5054i | −0.392077 | + | 1.71780i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −56.3983 | −1.87890 | ||||||||
\(902\) | 3.46484 | − | 15.1804i | 0.115366 | − | 0.505453i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 9.94036 | + | 43.5516i | 0.330612 | + | 1.44850i | ||||
\(905\) | −4.82904 | − | 21.1574i | −0.160523 | − | 0.703297i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.5869 | − | 20.7994i | −0.550760 | − | 0.690631i | 0.426059 | − | 0.904695i | \(-0.359901\pi\) |
−0.976820 | + | 0.214064i | \(0.931330\pi\) | |||||||
\(908\) | −2.88955 | − | 12.6599i | −0.0958930 | − | 0.420135i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 20.1244 | + | 11.9891i | 0.667117 | + | 0.397434i | ||||
\(911\) | 5.34722 | − | 23.4277i | 0.177161 | − | 0.776194i | −0.805771 | − | 0.592227i | \(-0.798249\pi\) |
0.982932 | − | 0.183967i | \(-0.0588940\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.68837 | 0.221353 | ||||||||
\(914\) | −1.04112 | + | 4.56143i | −0.0344371 | + | 0.150879i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.60554 | + | 12.0450i | 0.317376 | + | 0.397977i | ||||
\(917\) | −2.10933 | − | 15.4243i | −0.0696564 | − | 0.509354i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.43676 | − | 36.9639i | 0.278303 | − | 1.21933i | −0.621635 | − | 0.783307i | \(-0.713531\pi\) |
0.899938 | − | 0.436018i | \(-0.143612\pi\) | |||||||
\(920\) | 5.53787 | − | 6.94427i | 0.182578 | − | 0.228946i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.0697 | + | 12.6269i | 0.331626 | + | 0.415846i | ||||
\(923\) | 16.7865 | + | 8.08396i | 0.552535 | + | 0.266087i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.47340 | − | 1.67270i | 0.114205 | − | 0.0549981i | ||||
\(926\) | −16.1902 | − | 7.79680i | −0.532043 | − | 0.256219i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −36.9320 | − | 17.7855i | −1.21235 | − | 0.583838i | ||||
\(929\) | −11.5246 | + | 14.4513i | −0.378108 | + | 0.474133i | −0.934078 | − | 0.357070i | \(-0.883776\pi\) |
0.555969 | + | 0.831203i | \(0.312347\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 20.4164 | + | 14.7542i | 0.669122 | + | 0.483550i | ||||
\(932\) | −5.90826 | −0.193531 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 16.3727 | + | 7.88468i | 0.535732 | + | 0.257995i | ||||
\(935\) | 6.53385 | + | 28.6267i | 0.213680 | + | 0.936192i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.3567 | − | 10.7664i | 0.730362 | − | 0.351724i | −0.0314645 | − | 0.999505i | \(-0.510017\pi\) |
0.761827 | + | 0.647781i | \(0.224303\pi\) | |||||||
\(938\) | 8.84753 | + | 13.3664i | 0.288882 | + | 0.436430i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.7832 | + | 16.0297i | 0.416943 | + | 0.522830i | ||||
\(941\) | 37.5720 | − | 18.0937i | 1.22481 | − | 0.589838i | 0.294163 | − | 0.955755i | \(-0.404959\pi\) |
0.930647 | + | 0.365917i | \(0.119245\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.37250 | − | 10.3946i | 0.0772591 | − | 0.338494i | ||||
\(944\) | −0.368617 | + | 0.462231i | −0.0119975 | + | 0.0150443i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.4210 | − | 15.5754i | −0.403840 | − | 0.506400i | ||||
\(947\) | 25.7420 | − | 12.3967i | 0.836504 | − | 0.402839i | 0.0339536 | − | 0.999423i | \(-0.489190\pi\) |
0.802550 | + | 0.596584i | \(0.203476\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.5223 | −0.406492 | ||||||||
\(950\) | −4.48857 | −0.145628 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −18.7778 | − | 28.3686i | −0.608592 | − | 0.919433i | ||||
\(953\) | 11.2018 | + | 49.0784i | 0.362863 | + | 1.58981i | 0.745890 | + | 0.666069i | \(0.232024\pi\) |
−0.383028 | + | 0.923737i | \(0.625119\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.1865 | + | 12.7734i | 0.329627 | + | 0.413339i | ||||
\(956\) | 15.0335 | + | 18.8514i | 0.486217 | + | 0.609697i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.919037 | + | 4.02656i | 0.0296927 | + | 0.130092i | ||||
\(959\) | −1.87549 | − | 13.7143i | −0.0605629 | − | 0.442859i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.6357 | 0.826958 | ||||||||
\(962\) | 11.7313 | 0.378233 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.48758 | − | 1.67953i | 0.112327 | − | 0.0540940i | ||||
\(965\) | 9.48526 | + | 11.8941i | 0.305341 | + | 0.382886i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.6082 | − | 20.8261i | 0.534085 | − | 0.669721i | −0.439448 | − | 0.898268i | \(-0.644826\pi\) |
0.973533 | + | 0.228547i | \(0.0733974\pi\) | |||||||
\(968\) | 0.0695965 | − | 0.304922i | 0.00223692 | − | 0.00980057i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 15.1747 | − | 7.30773i | 0.487229 | − | 0.234637i | ||||
\(971\) | 12.9670 | + | 16.2601i | 0.416130 | + | 0.521810i | 0.945078 | − | 0.326844i | \(-0.105985\pi\) |
−0.528949 | + | 0.848654i | \(0.677414\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.0578 | − | 15.7893i | 0.482730 | − | 0.506183i | ||||
\(974\) | 23.0816 | − | 11.1155i | 0.739582 | − | 0.356164i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.867962 | − | 3.80279i | −0.0277828 | − | 0.121724i | ||||
\(977\) | 8.50378 | + | 4.09521i | 0.272060 | + | 0.131017i | 0.564940 | − | 0.825132i | \(-0.308899\pi\) |
−0.292880 | + | 0.956149i | \(0.594614\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.9574 | 0.510000 | ||||||||
\(980\) | −13.3415 | + | 11.7161i | −0.426179 | + | 0.374257i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.7646 | + | 17.2602i | −0.439244 | + | 0.550795i | ||||
\(983\) | −53.6021 | − | 25.8134i | −1.70964 | − | 0.823319i | −0.991902 | − | 0.127007i | \(-0.959463\pi\) |
−0.717739 | − | 0.696313i | \(-0.754823\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12.1714 | + | 5.86143i | 0.387813 | + | 0.186761i | ||||
\(986\) | −24.1337 | + | 11.6222i | −0.768573 | + | 0.370125i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 26.7519 | + | 12.8830i | 0.851092 | + | 0.409864i | ||||
\(989\) | −8.50508 | − | 10.6650i | −0.270446 | − | 0.339128i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.1927 | + | 19.0510i | −0.482611 | + | 0.605175i | −0.962209 | − | 0.272314i | \(-0.912211\pi\) |
0.479598 | + | 0.877488i | \(0.340783\pi\) | |||||||
\(992\) | −9.77853 | + | 42.8425i | −0.310469 | + | 1.36025i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.48345 | − | 4.70128i | 0.142206 | − | 0.149115i | ||||
\(995\) | −1.61119 | − | 2.02037i | −0.0510781 | − | 0.0640499i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.60136 | + | 11.3973i | −0.0823860 | + | 0.360957i | −0.999270 | − | 0.0381966i | \(-0.987839\pi\) |
0.916884 | + | 0.399153i | \(0.130696\pi\) | |||||||
\(998\) | 25.3876 | 0.803630 | ||||||||
\(999\) | 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.d.190.3 | 36 | ||
3.2 | odd | 2 | 147.2.i.b.43.4 | ✓ | 36 | ||
49.8 | even | 7 | inner | 441.2.u.d.253.3 | 36 | ||
147.8 | odd | 14 | 147.2.i.b.106.4 | yes | 36 | ||
147.20 | even | 14 | 7203.2.a.g.1.11 | 18 | |||
147.29 | odd | 14 | 7203.2.a.h.1.11 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.b.43.4 | ✓ | 36 | 3.2 | odd | 2 | ||
147.2.i.b.106.4 | yes | 36 | 147.8 | odd | 14 | ||
441.2.u.d.190.3 | 36 | 1.1 | even | 1 | trivial | ||
441.2.u.d.253.3 | 36 | 49.8 | even | 7 | inner | ||
7203.2.a.g.1.11 | 18 | 147.20 | even | 14 | |||
7203.2.a.h.1.11 | 18 | 147.29 | odd | 14 |