Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), 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: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Character | \(\chi\) | \(=\) | 441.109 |
Dual form | 441.2.bb.f.352.2 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.970582 | + | 0.900568i | −0.686305 | + | 0.636798i | −0.944199 | − | 0.329375i | \(-0.893162\pi\) |
0.257894 | + | 0.966173i | \(0.416971\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0184545 | + | 0.246258i | −0.00922724 | + | 0.123129i | ||||
\(5\) | −0.843767 | + | 2.14988i | −0.377344 | + | 0.961457i | 0.608464 | + | 0.793581i | \(0.291786\pi\) |
−0.985808 | + | 0.167876i | \(0.946309\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.921217 | − | 2.48019i | −0.348187 | − | 0.937425i | ||||
\(8\) | −1.85490 | − | 2.32597i | −0.655805 | − | 0.822354i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.11717 | − | 2.84651i | −0.353281 | − | 0.900145i | ||||
\(11\) | −3.02845 | − | 0.934154i | −0.913113 | − | 0.281658i | −0.197621 | − | 0.980279i | \(-0.563321\pi\) |
−0.715492 | + | 0.698621i | \(0.753798\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.953861 | − | 4.17914i | −0.264553 | − | 1.15908i | −0.916251 | − | 0.400605i | \(-0.868800\pi\) |
0.651697 | − | 0.758479i | \(-0.274057\pi\) | |||||||
\(14\) | 3.12770 | + | 1.57761i | 0.835913 | + | 0.421634i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.40664 | + | 0.513468i | 0.851660 | + | 0.128367i | ||||
\(17\) | 0.187439 | − | 0.127794i | 0.0454607 | − | 0.0309946i | −0.540376 | − | 0.841423i | \(-0.681718\pi\) |
0.585837 | + | 0.810429i | \(0.300766\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.255542 | − | 0.442611i | −0.0586253 | − | 0.101542i | 0.835223 | − | 0.549911i | \(-0.185338\pi\) |
−0.893849 | + | 0.448369i | \(0.852005\pi\) | |||||||
\(20\) | −0.513855 | − | 0.247459i | −0.114901 | − | 0.0553336i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.78063 | − | 1.82066i | 0.806033 | − | 0.388165i | ||||
\(23\) | 3.09568 | + | 2.11060i | 0.645494 | + | 0.440090i | 0.841312 | − | 0.540550i | \(-0.181784\pi\) |
−0.195818 | + | 0.980640i | \(0.562736\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.244797 | − | 0.227138i | −0.0489593 | − | 0.0454276i | ||||
\(26\) | 4.68940 | + | 3.19718i | 0.919667 | + | 0.627018i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.627768 | − | 0.181086i | 0.118637 | − | 0.0342221i | ||||
\(29\) | −4.64086 | − | 2.23492i | −0.861786 | − | 0.415014i | −0.0498473 | − | 0.998757i | \(-0.515873\pi\) |
−0.811939 | + | 0.583742i | \(0.801588\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.230978 | + | 0.400066i | −0.0414849 | + | 0.0718540i | −0.886022 | − | 0.463643i | \(-0.846542\pi\) |
0.844537 | + | 0.535497i | \(0.179876\pi\) | |||||||
\(32\) | 1.14732 | − | 0.782232i | 0.202820 | − | 0.138280i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0668380 | + | 0.292836i | −0.0114626 | + | 0.0502210i | ||||
\(35\) | 6.10942 | + | 0.112196i | 1.03268 | + | 0.0189646i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.656391 | − | 8.75893i | −0.107910 | − | 1.43996i | −0.743915 | − | 0.668274i | \(-0.767033\pi\) |
0.636005 | − | 0.771685i | \(-0.280586\pi\) | |||||||
\(38\) | 0.646625 | + | 0.199457i | 0.104896 | + | 0.0323563i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.56566 | − | 2.02524i | 1.03812 | − | 0.320218i | ||||
\(41\) | −6.46643 | − | 8.10865i | −1.00989 | − | 1.26636i | −0.963577 | − | 0.267431i | \(-0.913825\pi\) |
−0.0463099 | − | 0.998927i | \(-0.514746\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.80563 | + | 6.02607i | −0.732851 | + | 0.918967i | −0.998988 | − | 0.0449685i | \(-0.985681\pi\) |
0.266137 | + | 0.963935i | \(0.414253\pi\) | |||||||
\(44\) | 0.285931 | − | 0.728541i | 0.0431058 | − | 0.109832i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.90535 | + | 0.739362i | −0.723254 | + | 0.109013i | ||||
\(47\) | −0.749318 | + | 0.695265i | −0.109299 | + | 0.101415i | −0.732930 | − | 0.680305i | \(-0.761848\pi\) |
0.623630 | + | 0.781719i | \(0.285657\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.30272 | + | 4.56959i | −0.757531 | + | 0.652799i | ||||
\(50\) | 0.442148 | 0.0625292 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.04675 | − | 0.157772i | 0.145158 | − | 0.0218790i | ||||
\(53\) | 0.933904 | − | 12.4621i | 0.128282 | − | 1.71180i | −0.447574 | − | 0.894247i | \(-0.647712\pi\) |
0.575855 | − | 0.817552i | \(-0.304669\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.56363 | − | 5.72261i | 0.615360 | − | 0.771637i | ||||
\(56\) | −4.06009 | + | 6.74322i | −0.542552 | + | 0.901101i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.51703 | − | 2.01024i | 0.855728 | − | 0.263957i | ||||
\(59\) | 0.475918 | + | 1.21262i | 0.0619593 | + | 0.157870i | 0.958501 | − | 0.285090i | \(-0.0920236\pi\) |
−0.896541 | + | 0.442960i | \(0.853928\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.332035 | + | 4.43070i | 0.0425127 | + | 0.567293i | 0.977269 | + | 0.212003i | \(0.0679987\pi\) |
−0.934756 | + | 0.355290i | \(0.884382\pi\) | |||||||
\(62\) | −0.136103 | − | 0.596308i | −0.0172852 | − | 0.0757312i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.94234 | + | 8.50995i | −0.242793 | + | 1.06374i | ||||
\(65\) | 9.78950 | + | 1.47553i | 1.21424 | + | 0.183017i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.62087 | + | 8.00359i | −0.564530 | + | 0.977794i | 0.432564 | + | 0.901603i | \(0.357609\pi\) |
−0.997093 | + | 0.0761905i | \(0.975724\pi\) | |||||||
\(68\) | 0.0280112 | + | 0.0485168i | 0.00339685 | + | 0.00588352i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.03073 | + | 5.39305i | −0.720810 | + | 0.644593i | ||||
\(71\) | −0.267146 | + | 0.128651i | −0.0317044 | + | 0.0152680i | −0.449669 | − | 0.893195i | \(-0.648458\pi\) |
0.417964 | + | 0.908463i | \(0.362744\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.8541 | − | 10.9990i | −1.38742 | − | 1.28734i | −0.913538 | − | 0.406754i | \(-0.866661\pi\) |
−0.473886 | − | 0.880586i | \(-0.657149\pi\) | |||||||
\(74\) | 8.52510 | + | 7.91013i | 0.991022 | + | 0.919534i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.113712 | − | 0.0547610i | 0.0130437 | − | 0.00628151i | ||||
\(77\) | 0.472980 | + | 8.37171i | 0.0539011 | + | 0.954045i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.09458 | + | 5.35997i | 0.348167 | + | 0.603044i | 0.985924 | − | 0.167194i | \(-0.0534708\pi\) |
−0.637757 | + | 0.770238i | \(0.720137\pi\) | |||||||
\(80\) | −3.97831 | + | 6.89063i | −0.444788 | + | 0.770396i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.5786 | + | 2.04664i | 1.49950 | + | 0.226014i | ||||
\(83\) | 2.90716 | − | 12.7371i | 0.319102 | − | 1.39808i | −0.520030 | − | 0.854148i | \(-0.674079\pi\) |
0.839132 | − | 0.543928i | \(-0.183064\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.116587 | + | 0.510801i | 0.0126456 | + | 0.0554041i | ||||
\(86\) | −0.762630 | − | 10.1766i | −0.0822365 | − | 1.09737i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.44466 | + | 8.77684i | 0.367202 | + | 0.935614i | ||||
\(89\) | 2.90690 | − | 0.896660i | 0.308131 | − | 0.0950457i | −0.136834 | − | 0.990594i | \(-0.543693\pi\) |
0.444964 | + | 0.895548i | \(0.353216\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.48636 | + | 6.21565i | −0.994440 | + | 0.651577i | ||||
\(92\) | −0.576881 | + | 0.723386i | −0.0601440 | + | 0.0754182i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.101140 | − | 1.34962i | 0.0104318 | − | 0.139203i | ||||
\(95\) | 1.16718 | − | 0.175924i | 0.119750 | − | 0.0180494i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.15843 | 0.219156 | 0.109578 | − | 0.993978i | \(-0.465050\pi\) | ||||
0.109578 | + | 0.993978i | \(0.465050\pi\) | |||||||
\(98\) | 1.03149 | − | 9.21062i | 0.104196 | − | 0.930413i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.0604521 | − | 0.0560914i | 0.00604521 | − | 0.00560914i | ||||
\(101\) | −17.6999 | + | 2.66782i | −1.76120 | + | 0.265458i | −0.948399 | − | 0.317080i | \(-0.897298\pi\) |
−0.812803 | + | 0.582539i | \(0.802059\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.20944 | + | 10.7255i | −0.414769 | + | 1.05681i | 0.558979 | + | 0.829182i | \(0.311193\pi\) |
−0.973747 | + | 0.227631i | \(0.926902\pi\) | |||||||
\(104\) | −7.95122 | + | 9.97052i | −0.779682 | + | 0.977690i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.3165 | + | 12.9365i | 1.00203 | + | 1.25651i | ||||
\(107\) | 5.62711 | − | 1.73573i | 0.543993 | − | 0.167800i | −0.0105656 | − | 0.999944i | \(-0.503363\pi\) |
0.554559 | + | 0.832144i | \(0.312887\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.34859 | + | 1.03290i | 0.320737 | + | 0.0989343i | 0.450943 | − | 0.892553i | \(-0.351088\pi\) |
−0.130206 | + | 0.991487i | \(0.541564\pi\) | |||||||
\(110\) | 0.724226 | + | 9.66412i | 0.0690522 | + | 0.921438i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.86475 | − | 8.92214i | −0.176203 | − | 0.843063i | ||||
\(113\) | −4.45339 | + | 19.5116i | −0.418939 | + | 1.83549i | 0.119506 | + | 0.992833i | \(0.461869\pi\) |
−0.538446 | + | 0.842660i | \(0.680988\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.14957 | + | 4.87450i | −0.666701 | + | 0.454549i | ||||
\(116\) | 0.636012 | − | 1.10160i | 0.0590522 | − | 0.102281i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.55396 | − | 0.748350i | −0.143054 | − | 0.0688912i | ||||
\(119\) | −0.489626 | − | 0.347160i | −0.0448839 | − | 0.0318241i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.789744 | − | 0.538439i | −0.0717949 | − | 0.0489490i | ||||
\(122\) | −4.31241 | − | 4.00133i | −0.390428 | − | 0.362264i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0942568 | − | 0.0642632i | −0.00846451 | − | 0.00577101i | ||||
\(125\) | −9.70921 | + | 4.67571i | −0.868419 | + | 0.418208i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.38116 | + | 3.07300i | 0.566236 | + | 0.272685i | 0.695023 | − | 0.718987i | \(-0.255394\pi\) |
−0.128787 | + | 0.991672i | \(0.541108\pi\) | |||||||
\(128\) | −4.38998 | − | 7.60367i | −0.388023 | − | 0.672076i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.8303 | + | 7.38399i | −0.949882 | + | 0.647618i | ||||
\(131\) | −17.4825 | − | 2.63506i | −1.52745 | − | 0.230226i | −0.669056 | − | 0.743212i | \(-0.733301\pi\) |
−0.858397 | + | 0.512986i | \(0.828539\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.862351 | + | 1.04153i | −0.0747754 | + | 0.0903124i | ||||
\(134\) | −2.72284 | − | 11.9295i | −0.235218 | − | 1.03056i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.644925 | − | 0.198933i | −0.0553019 | − | 0.0170584i | ||||
\(137\) | −0.0122594 | − | 0.0312364i | −0.00104739 | − | 0.00266870i | 0.930349 | − | 0.366675i | \(-0.119504\pi\) |
−0.931396 | + | 0.364006i | \(0.881409\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.6171 | − | 15.8213i | −1.07017 | − | 1.34195i | −0.936400 | − | 0.350935i | \(-0.885864\pi\) |
−0.133768 | − | 0.991013i | \(-0.542708\pi\) | |||||||
\(140\) | −0.140375 | + | 1.50242i | −0.0118639 | + | 0.126978i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.143428 | − | 0.365449i | 0.0120362 | − | 0.0306678i | ||||
\(143\) | −1.01524 | + | 13.5474i | −0.0848982 | + | 1.13289i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.72062 | − | 8.09156i | 0.724208 | − | 0.671967i | ||||
\(146\) | 21.4108 | 1.77197 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.16907 | 0.178296 | ||||||||
\(149\) | −0.721137 | + | 0.669117i | −0.0590778 | + | 0.0548162i | −0.709159 | − | 0.705048i | \(-0.750925\pi\) |
0.650081 | + | 0.759865i | \(0.274735\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.431799 | + | 5.76196i | −0.0351393 | + | 0.468901i | 0.951682 | + | 0.307086i | \(0.0993539\pi\) |
−0.986821 | + | 0.161815i | \(0.948265\pi\) | |||||||
\(152\) | −0.555495 | + | 1.41538i | −0.0450566 | + | 0.114802i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.99836 | − | 7.69947i | −0.644526 | − | 0.620441i | ||||
\(155\) | −0.665204 | − | 0.834139i | −0.0534304 | − | 0.0669996i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.39083 | − | 11.1877i | −0.350426 | − | 0.892872i | −0.992049 | − | 0.125851i | \(-0.959834\pi\) |
0.641623 | − | 0.767020i | \(-0.278261\pi\) | |||||||
\(158\) | −7.83056 | − | 2.41541i | −0.622966 | − | 0.192160i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.713634 | + | 3.12664i | 0.0564177 | + | 0.247182i | ||||
\(161\) | 2.38290 | − | 9.62221i | 0.187799 | − | 0.758336i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 19.3613 | + | 2.91824i | 1.51649 | + | 0.228574i | 0.853912 | − | 0.520418i | \(-0.174224\pi\) |
0.662579 | + | 0.748992i | \(0.269462\pi\) | |||||||
\(164\) | 2.11615 | − | 1.44277i | 0.165244 | − | 0.112661i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.64898 | + | 14.9805i | 0.671291 | + | 1.16271i | ||||
\(167\) | 15.1813 | + | 7.31092i | 1.17476 | + | 0.565736i | 0.916381 | − | 0.400307i | \(-0.131097\pi\) |
0.258381 | + | 0.966043i | \(0.416811\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.84275 | + | 2.33214i | −0.372519 | + | 0.179396i | ||||
\(170\) | −0.573168 | − | 0.390779i | −0.0439600 | − | 0.0299714i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.39528 | − | 1.29463i | −0.106389 | − | 0.0987148i | ||||
\(173\) | 7.26824 | + | 4.95540i | 0.552594 | + | 0.376752i | 0.807187 | − | 0.590296i | \(-0.200989\pi\) |
−0.254593 | + | 0.967048i | \(0.581941\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.337835 | + | 0.816386i | −0.0255380 | + | 0.0617130i | ||||
\(176\) | −9.83719 | − | 4.73734i | −0.741506 | − | 0.357091i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.01388 | + | 3.48814i | −0.150947 | + | 0.261447i | ||||
\(179\) | 10.7221 | − | 7.31021i | 0.801408 | − | 0.546391i | −0.0919356 | − | 0.995765i | \(-0.529305\pi\) |
0.893344 | + | 0.449374i | \(0.148353\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.67681 | − | 16.1091i | 0.273295 | − | 1.19738i | −0.632802 | − | 0.774313i | \(-0.718095\pi\) |
0.906097 | − | 0.423070i | \(-0.139047\pi\) | |||||||
\(182\) | 3.60966 | − | 14.5759i | 0.267566 | − | 1.08044i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.832984 | − | 11.1154i | −0.0614084 | − | 0.819438i | ||||
\(185\) | 19.3845 | + | 5.97933i | 1.42518 | + | 0.439609i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.687030 | + | 0.211921i | −0.0502406 | + | 0.0154972i | ||||
\(188\) | −0.157386 | − | 0.197356i | −0.0114786 | − | 0.0143937i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.974411 | + | 1.22187i | −0.0706912 | + | 0.0886440i | ||||
\(191\) | −3.10844 | + | 7.92018i | −0.224919 | + | 0.573084i | −0.998134 | − | 0.0610595i | \(-0.980552\pi\) |
0.773215 | + | 0.634144i | \(0.218647\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.58922 | + | 1.14389i | −0.546284 | + | 0.0823391i | −0.416385 | − | 0.909188i | \(-0.636703\pi\) |
−0.129899 | + | 0.991527i | \(0.541465\pi\) | |||||||
\(194\) | −2.09494 | + | 1.94382i | −0.150408 | + | 0.139558i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.02744 | − | 1.39017i | −0.0733885 | − | 0.0992975i | ||||
\(197\) | 27.0692 | 1.92860 | 0.964301 | − | 0.264810i | \(-0.0853092\pi\) | ||||
0.964301 | + | 0.264810i | \(0.0853092\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.16039 | + | 0.476353i | −0.224034 | + | 0.0337677i | −0.260100 | − | 0.965582i | \(-0.583756\pi\) |
0.0360657 | + | 0.999349i | \(0.488517\pi\) | |||||||
\(200\) | −0.0742432 | + | 0.990706i | −0.00524979 | + | 0.0700535i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.7766 | − | 18.5293i | 1.03968 | − | 1.30371i | ||||
\(203\) | −1.26779 | + | 13.5691i | −0.0889817 | + | 0.952363i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 22.8888 | − | 7.06026i | 1.59862 | − | 0.493110i | ||||
\(206\) | −5.57342 | − | 14.2008i | −0.388319 | − | 0.989420i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.10361 | − | 14.7266i | −0.0765213 | − | 1.02111i | ||||
\(209\) | 0.360429 | + | 1.57914i | 0.0249314 | + | 0.109232i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.57498 | − | 6.90043i | 0.108426 | − | 0.475045i | −0.891338 | − | 0.453339i | \(-0.850233\pi\) |
0.999764 | − | 0.0217068i | \(-0.00691003\pi\) | |||||||
\(212\) | 3.05165 | + | 0.459963i | 0.209588 | + | 0.0315904i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.89842 | + | 6.75227i | −0.266491 | + | 0.461576i | ||||
\(215\) | −8.90051 | − | 15.4161i | −0.607010 | − | 1.05137i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.20502 | + | 0.204323i | 0.0818022 | + | 0.0138703i | ||||
\(218\) | −4.18028 | + | 2.01312i | −0.283124 | + | 0.136346i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.32502 | + | 1.22944i | 0.0893328 | + | 0.0828887i | ||||
\(221\) | −0.712860 | − | 0.661437i | −0.0479521 | − | 0.0444931i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.79320 | + | 3.75301i | −0.521872 | + | 0.251320i | −0.676224 | − | 0.736696i | \(-0.736385\pi\) |
0.154353 | + | 0.988016i | \(0.450671\pi\) | |||||||
\(224\) | −2.99702 | − | 2.12498i | −0.200247 | − | 0.141981i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −13.2491 | − | 22.9481i | −0.881318 | − | 1.52649i | ||||
\(227\) | 14.5392 | − | 25.1827i | 0.965001 | − | 1.67143i | 0.255390 | − | 0.966838i | \(-0.417796\pi\) |
0.709611 | − | 0.704593i | \(-0.248871\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.61539 | + | 1.44929i | 0.635403 | + | 0.0957715i | 0.458841 | − | 0.888518i | \(-0.348265\pi\) |
0.176561 | + | 0.984290i | \(0.443503\pi\) | |||||||
\(230\) | 2.54943 | − | 11.1698i | 0.168104 | − | 0.736513i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.40997 | + | 14.9400i | 0.223875 | + | 0.980862i | ||||
\(233\) | 0.722120 | + | 9.63602i | 0.0473077 | + | 0.631277i | 0.969586 | + | 0.244751i | \(0.0787061\pi\) |
−0.922278 | + | 0.386526i | \(0.873675\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.862489 | − | 2.19759i | −0.0562626 | − | 0.143355i | ||||
\(236\) | −0.307400 | + | 0.0948204i | −0.0200100 | + | 0.00617228i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.787863 | − | 0.103995i | 0.0510696 | − | 0.00674098i | ||||
\(239\) | −0.780063 | + | 0.978167i | −0.0504581 | + | 0.0632724i | −0.806420 | − | 0.591343i | \(-0.798598\pi\) |
0.755962 | + | 0.654615i | \(0.227169\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.787984 | − | 10.5149i | 0.0507585 | − | 0.677326i | −0.912556 | − | 0.408951i | \(-0.865895\pi\) |
0.963315 | − | 0.268374i | \(-0.0864864\pi\) | |||||||
\(242\) | 1.25141 | − | 0.188620i | 0.0804438 | − | 0.0121250i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.09722 | −0.0702425 | ||||||||
\(245\) | −5.34983 | − | 15.2559i | −0.341788 | − | 0.974664i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.60598 | + | 1.49013i | −0.102186 | + | 0.0948149i | ||||
\(248\) | 1.35898 | − | 0.204833i | 0.0862954 | − | 0.0130069i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.21279 | − | 13.2820i | 0.329686 | − | 0.840025i | ||||
\(251\) | −15.5477 | + | 19.4962i | −0.981362 | + | 1.23059i | −0.00831898 | + | 0.999965i | \(0.502648\pi\) |
−0.973043 | + | 0.230624i | \(0.925923\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.40350 | − | 9.28369i | −0.465454 | − | 0.583661i | ||||
\(254\) | −8.96088 | + | 2.76407i | −0.562256 | + | 0.173433i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.57355 | − | 1.71921i | −0.348347 | − | 0.107451i | ||||
\(257\) | −1.02258 | − | 13.6454i | −0.0637869 | − | 0.851177i | −0.933719 | − | 0.358006i | \(-0.883457\pi\) |
0.869932 | − | 0.493171i | \(-0.164162\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −21.1192 | + | 9.69686i | −1.31228 | + | 0.602533i | ||||
\(260\) | −0.544021 | + | 2.38351i | −0.0337387 | + | 0.147819i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.3412 | − | 13.1866i | 1.19491 | − | 0.814673i | ||||
\(263\) | −12.2261 | + | 21.1763i | −0.753896 | + | 1.30579i | 0.192026 | + | 0.981390i | \(0.438494\pi\) |
−0.945922 | + | 0.324396i | \(0.894839\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 26.0040 | + | 12.5229i | 1.59741 | + | 0.769274i | ||||
\(266\) | −0.100989 | − | 1.78750i | −0.00619205 | − | 0.109599i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.88567 | − | 1.28563i | −0.115186 | − | 0.0785323i | ||||
\(269\) | 7.18978 | + | 6.67114i | 0.438368 | + | 0.406746i | 0.868241 | − | 0.496143i | \(-0.165251\pi\) |
−0.429872 | + | 0.902890i | \(0.641441\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.62331 | − | 1.78854i | −0.159355 | − | 0.108646i | 0.481017 | − | 0.876711i | \(-0.340267\pi\) |
−0.640372 | + | 0.768065i | \(0.721220\pi\) | |||||||
\(272\) | 0.704156 | − | 0.339104i | 0.0426958 | − | 0.0205612i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.0400292 | + | 0.0192771i | 0.00241825 | + | 0.00116457i | ||||
\(275\) | 0.529173 | + | 0.916554i | 0.0319103 | + | 0.0552703i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.6073 | − | 9.95910i | 0.877669 | − | 0.598384i | −0.0384638 | − | 0.999260i | \(-0.512246\pi\) |
0.916133 | + | 0.400876i | \(0.131294\pi\) | |||||||
\(278\) | 26.4941 | + | 3.99334i | 1.58901 | + | 0.239505i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.0714 | − | 14.4184i | −0.661641 | − | 0.861665i | ||||
\(281\) | 0.893808 | + | 3.91603i | 0.0533201 | + | 0.233611i | 0.994565 | − | 0.104113i | \(-0.0332003\pi\) |
−0.941245 | + | 0.337723i | \(0.890343\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.5989 | − | 6.66239i | −1.28392 | − | 0.396038i | −0.423629 | − | 0.905836i | \(-0.639244\pi\) |
−0.860294 | + | 0.509798i | \(0.829720\pi\) | |||||||
\(284\) | −0.0267512 | − | 0.0681610i | −0.00158739 | − | 0.00404461i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.2150 | − | 14.0631i | −0.663155 | − | 0.831570i | ||||
\(287\) | −14.1540 | + | 23.5078i | −0.835486 | + | 1.38762i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.19200 | + | 15.7769i | −0.364235 | + | 0.928056i | ||||
\(290\) | −1.17708 | + | 15.7070i | −0.0691205 | + | 0.922349i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.92736 | − | 2.71620i | 0.171311 | − | 0.158953i | ||||
\(293\) | −15.8015 | −0.923132 | −0.461566 | − | 0.887106i | \(-0.652712\pi\) | ||||
−0.461566 | + | 0.887106i | \(0.652712\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.00856 | −0.175165 | ||||||||
\(296\) | −19.1555 | + | 17.7737i | −1.11339 | + | 1.03307i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.0973365 | − | 1.29887i | 0.00563855 | − | 0.0752412i | ||||
\(299\) | 5.86764 | − | 14.9505i | 0.339334 | − | 0.864609i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.3728 | + | 6.36757i | 1.11663 | + | 0.367021i | ||||
\(302\) | −4.76994 | − | 5.98131i | −0.274479 | − | 0.344186i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.643271 | − | 1.63903i | −0.0368941 | − | 0.0940048i | ||||
\(305\) | −9.80565 | − | 3.02464i | −0.561470 | − | 0.173190i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.126973 | − | 0.556307i | −0.00724675 | − | 0.0317501i | 0.971175 | − | 0.238366i | \(-0.0766119\pi\) |
−0.978422 | + | 0.206616i | \(0.933755\pi\) | |||||||
\(308\) | −2.07033 | − | 0.0380203i | −0.117968 | − | 0.00216641i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.39683 | + | 0.210539i | 0.0793348 | + | 0.0119578i | ||||
\(311\) | 21.9095 | − | 14.9377i | 1.24237 | − | 0.847037i | 0.249755 | − | 0.968309i | \(-0.419650\pi\) |
0.992619 | + | 0.121272i | \(0.0386974\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.83331 | + | 15.2997i | 0.499288 | + | 0.864792i | 1.00000 | 0.000822038i | \(-0.000261663\pi\) | |
−0.500712 | + | 0.865614i | \(0.666928\pi\) | |||||||
\(314\) | 14.3369 | + | 6.90429i | 0.809078 | + | 0.389631i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.37704 | + | 0.663149i | −0.0774648 | + | 0.0373051i | ||||
\(317\) | 1.43757 | + | 0.980121i | 0.0807422 | + | 0.0550491i | 0.603018 | − | 0.797727i | \(-0.293965\pi\) |
−0.522276 | + | 0.852776i | \(0.674917\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.9669 | + | 11.1036i | 0.670016 | + | 0.621684i | ||||
\(320\) | −16.6565 | − | 11.3562i | −0.931128 | − | 0.634832i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.35265 | + | 11.4851i | 0.354019 | + | 0.640040i | ||||
\(323\) | −0.104462 | − | 0.0503060i | −0.00581239 | − | 0.00279910i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.715739 | + | 1.23970i | −0.0397021 | + | 0.0687660i | ||||
\(326\) | −21.4197 | + | 14.6037i | −1.18633 | + | 0.808826i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.86589 | + | 30.0814i | −0.379105 | + | 1.66097i | ||||
\(329\) | 2.41468 | + | 1.21796i | 0.133125 | + | 0.0671484i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.03403 | + | 13.7981i | 0.0568352 | + | 0.758413i | 0.950707 | + | 0.310090i | \(0.100359\pi\) |
−0.893872 | + | 0.448323i | \(0.852022\pi\) | |||||||
\(332\) | 3.08296 | + | 0.950966i | 0.169199 | + | 0.0521911i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.3186 | + | 6.57593i | −1.16650 | + | 0.359819i | ||||
\(335\) | −13.3078 | − | 16.6875i | −0.727085 | − | 0.911736i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.6917 | − | 18.4228i | 0.800305 | − | 1.00355i | −0.199415 | − | 0.979915i | \(-0.563904\pi\) |
0.999721 | − | 0.0236362i | \(-0.00752434\pi\) | |||||||
\(338\) | 2.60003 | − | 6.62476i | 0.141423 | − | 0.360339i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.127940 | + | 0.0192839i | −0.00693854 | + | 0.00104582i | ||||
\(341\) | 1.07323 | − | 0.995812i | 0.0581187 | − | 0.0539262i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.2184 | + | 8.94218i | 0.875713 | + | 0.482832i | ||||
\(344\) | 22.9304 | 1.23632 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.5171 | + | 1.73592i | −0.619163 | + | 0.0933238i | ||||
\(347\) | −0.585825 | + | 7.81729i | −0.0314487 | + | 0.419654i | 0.959154 | + | 0.282884i | \(0.0912912\pi\) |
−0.990603 | + | 0.136770i | \(0.956328\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.52700 | − | 6.93065i | 0.295854 | − | 0.370989i | −0.611581 | − | 0.791182i | \(-0.709466\pi\) |
0.907435 | + | 0.420193i | \(0.138038\pi\) | |||||||
\(350\) | −0.407315 | − | 1.09661i | −0.0217719 | − | 0.0586164i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.20534 | + | 1.29718i | −0.224146 | + | 0.0691397i | ||||
\(353\) | −9.65322 | − | 24.5960i | −0.513789 | − | 1.30911i | −0.918772 | − | 0.394789i | \(-0.870818\pi\) |
0.404983 | − | 0.914324i | \(-0.367277\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0511751 | − | 0.682884i | −0.00271609 | − | 0.0362437i | ||||
\(356\) | 0.167164 | + | 0.732394i | 0.00885969 | + | 0.0388168i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.82334 | + | 16.7511i | −0.202070 | + | 0.885325i | ||||
\(359\) | −32.0694 | − | 4.83368i | −1.69256 | − | 0.255112i | −0.769187 | − | 0.639024i | \(-0.779338\pi\) |
−0.923370 | + | 0.383912i | \(0.874577\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.36940 | − | 16.2283i | 0.493126 | − | 0.854120i | ||||
\(362\) | 10.9387 | + | 18.9464i | 0.574927 | + | 0.995803i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.35559 | − | 2.45080i | −0.0710521 | − | 0.128457i | ||||
\(365\) | 33.6488 | − | 16.2044i | 1.76126 | − | 0.848178i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.6895 | + | 14.5577i | 0.818984 | + | 0.759906i | 0.973647 | − | 0.228061i | \(-0.0732386\pi\) |
−0.154663 | + | 0.987967i | \(0.549429\pi\) | |||||||
\(368\) | 9.46214 | + | 8.77959i | 0.493248 | + | 0.457668i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −24.1991 | + | 11.6537i | −1.25805 | + | 0.605845i | ||||
\(371\) | −31.7687 | + | 9.16402i | −1.64935 | + | 0.475772i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.1494 | − | 24.5075i | −0.732627 | − | 1.26895i | −0.955756 | − | 0.294159i | \(-0.904960\pi\) |
0.223129 | − | 0.974789i | \(-0.428373\pi\) | |||||||
\(374\) | 0.475970 | − | 0.824404i | 0.0246118 | − | 0.0426289i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.00707 | + | 0.453243i | 0.155078 | + | 0.0233742i | ||||
\(377\) | −4.91331 | + | 21.5266i | −0.253048 | + | 1.10868i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.62909 | + | 11.5188i | 0.135047 | + | 0.591681i | 0.996482 | + | 0.0838118i | \(0.0267095\pi\) |
−0.861434 | + | 0.507869i | \(0.830433\pi\) | |||||||
\(380\) | 0.0217830 | + | 0.290674i | 0.00111744 | + | 0.0149113i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.11567 | − | 10.4865i | −0.210576 | − | 0.536539i | ||||
\(383\) | 14.1750 | − | 4.37240i | 0.724307 | − | 0.223419i | 0.0893867 | − | 0.995997i | \(-0.471509\pi\) |
0.634920 | + | 0.772578i | \(0.281033\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.3973 | − | 6.04692i | −0.937612 | − | 0.308179i | ||||
\(386\) | 6.33581 | − | 7.94485i | 0.322484 | − | 0.404382i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.0398328 | + | 0.531532i | −0.00202220 | + | 0.0269844i | ||||
\(389\) | 4.48051 | − | 0.675329i | 0.227171 | − | 0.0342405i | −0.0344702 | − | 0.999406i | \(-0.510974\pi\) |
0.261641 | + | 0.965165i | \(0.415736\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.849974 | 0.0429850 | ||||||||
\(392\) | 20.4647 | + | 3.85782i | 1.03362 | + | 0.194849i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −26.2729 | + | 24.3777i | −1.32361 | + | 1.22813i | ||||
\(395\) | −14.1344 | + | 2.13042i | −0.711179 | + | 0.107193i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.02228 | + | 17.8925i | −0.352438 | + | 0.897998i | 0.639211 | + | 0.769032i | \(0.279261\pi\) |
−0.991649 | + | 0.128967i | \(0.958834\pi\) | |||||||
\(398\) | 2.63843 | − | 3.30849i | 0.132253 | − | 0.165840i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.717306 | − | 0.899473i | −0.0358653 | − | 0.0449736i | ||||
\(401\) | −12.5962 | + | 3.88542i | −0.629025 | + | 0.194029i | −0.592845 | − | 0.805317i | \(-0.701995\pi\) |
−0.0361803 | + | 0.999345i | \(0.511519\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.89225 | + | 0.583683i | 0.0942598 | + | 0.0290753i | ||||
\(404\) | −0.330331 | − | 4.40796i | −0.0164346 | − | 0.219304i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.9894 | − | 14.3116i | −0.545394 | − | 0.710274i | ||||
\(407\) | −6.19434 | + | 27.1392i | −0.307042 | + | 1.34524i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.6927 | + | 9.33552i | −0.677060 | + | 0.461612i | −0.852396 | − | 0.522897i | \(-0.824851\pi\) |
0.175336 | + | 0.984509i | \(0.443899\pi\) | |||||||
\(410\) | −15.8572 | + | 27.4655i | −0.783132 | + | 1.35642i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.56355 | − | 1.23454i | −0.126297 | − | 0.0608215i | ||||
\(413\) | 2.56911 | − | 2.29746i | 0.126418 | − | 0.113050i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.9303 | + | 16.9972i | 1.22378 | + | 0.834359i | ||||
\(416\) | −4.36344 | − | 4.04869i | −0.213935 | − | 0.198503i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.77195 | − | 1.20810i | −0.0866689 | − | 0.0590899i | ||||
\(419\) | 30.5610 | − | 14.7174i | 1.49300 | − | 0.718991i | 0.503564 | − | 0.863958i | \(-0.332022\pi\) |
0.989436 | + | 0.144967i | \(0.0463076\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.978083 | − | 0.471020i | −0.0476688 | − | 0.0229561i | 0.409897 | − | 0.912132i | \(-0.365564\pi\) |
−0.457566 | + | 0.889176i | \(0.651279\pi\) | |||||||
\(422\) | 4.68566 | + | 8.11581i | 0.228095 | + | 0.395071i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −30.7187 | + | 20.9437i | −1.49183 | + | 1.01711i | ||||
\(425\) | −0.0749114 | − | 0.0112911i | −0.00363373 | − | 0.000547697i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.6831 | − | 4.90515i | 0.516992 | − | 0.237377i | ||||
\(428\) | 0.323593 | + | 1.41775i | 0.0156414 | + | 0.0685297i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.5220 | + | 6.94710i | 1.08611 | + | 0.335019i | ||||
\(431\) | 4.29893 | + | 10.9535i | 0.207072 | + | 0.527611i | 0.996247 | − | 0.0865577i | \(-0.0275867\pi\) |
−0.789175 | + | 0.614169i | \(0.789491\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.28877 | − | 9.13983i | −0.350276 | − | 0.439232i | 0.575215 | − | 0.818002i | \(-0.304919\pi\) |
−0.925491 | + | 0.378770i | \(0.876347\pi\) | |||||||
\(434\) | −1.35358 | + | 0.886893i | −0.0649739 | + | 0.0425722i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.316157 | + | 0.805556i | −0.0151412 | + | 0.0385791i | ||||
\(437\) | 0.143099 | − | 1.90953i | 0.00684537 | − | 0.0913451i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.821196 | − | 0.761958i | 0.0391935 | − | 0.0363663i | −0.660333 | − | 0.750973i | \(-0.729585\pi\) |
0.699526 | + | 0.714607i | \(0.253394\pi\) | |||||||
\(440\) | −21.7757 | −1.03811 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.28756 | 0.0612429 | ||||||||
\(443\) | 28.0052 | − | 25.9851i | 1.33057 | − | 1.23459i | 0.379656 | − | 0.925128i | \(-0.376042\pi\) |
0.950913 | − | 0.309460i | \(-0.100148\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.525032 | + | 7.00607i | −0.0248889 | + | 0.332119i | ||||
\(446\) | 4.18410 | − | 10.6609i | 0.198123 | − | 0.504809i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 22.8956 | − | 3.02213i | 1.08172 | − | 0.142782i | ||||
\(449\) | −19.7516 | − | 24.7677i | −0.932134 | − | 1.16886i | −0.985396 | − | 0.170279i | \(-0.945533\pi\) |
0.0532618 | − | 0.998581i | \(-0.483038\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.0086 | + | 30.5973i | 0.565461 | + | 1.44077i | ||||
\(452\) | −4.72269 | − | 1.45676i | −0.222137 | − | 0.0685201i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.56720 | + | 37.5354i | 0.402079 | + | 1.76162i | ||||
\(455\) | −5.35865 | − | 25.6391i | −0.251218 | − | 1.20198i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 37.2733 | + | 5.61805i | 1.74357 | + | 0.262801i | 0.942125 | − | 0.335262i | \(-0.108825\pi\) |
0.801449 | + | 0.598064i | \(0.204063\pi\) | |||||||
\(458\) | −10.6377 | + | 7.25266i | −0.497067 | + | 0.338895i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.06844 | − | 1.85060i | −0.0498164 | − | 0.0862845i | ||||
\(461\) | 16.9687 | + | 8.17171i | 0.790313 | + | 0.380595i | 0.785082 | − | 0.619392i | \(-0.212621\pi\) |
0.00523072 | + | 0.999986i | \(0.498335\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.6150 | + | 9.44609i | −0.911587 | + | 0.438997i | −0.830060 | − | 0.557674i | \(-0.811694\pi\) |
−0.0815270 | + | 0.996671i | \(0.525980\pi\) | |||||||
\(464\) | −14.6622 | − | 9.99651i | −0.680675 | − | 0.464076i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.37877 | − | 8.70223i | −0.434463 | − | 0.403123i | ||||
\(467\) | −20.8916 | − | 14.2436i | −0.966746 | − | 0.659116i | −0.0265133 | − | 0.999648i | \(-0.508440\pi\) |
−0.940233 | + | 0.340532i | \(0.889393\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.1073 | + | 4.08762i | 1.11317 | + | 0.188749i | ||||
\(470\) | 2.81619 | + | 1.35621i | 0.129901 | + | 0.0625572i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.93774 | − | 3.35626i | 0.0891915 | − | 0.154484i | ||||
\(473\) | 20.1829 | − | 13.7605i | 0.928010 | − | 0.632707i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0379781 | + | 0.166393i | −0.00174255 | + | 0.00763463i | ||||
\(476\) | 0.0945266 | − | 0.114168i | 0.00433262 | − | 0.00523286i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.123792 | − | 1.65189i | −0.00566212 | − | 0.0755557i | ||||
\(479\) | 18.7346 | + | 5.77886i | 0.856005 | + | 0.264043i | 0.691538 | − | 0.722340i | \(-0.256933\pi\) |
0.164467 | + | 0.986383i | \(0.447410\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −35.9787 | + | 11.0980i | −1.64049 | + | 0.506023i | ||||
\(482\) | 8.70460 | + | 10.9152i | 0.396484 | + | 0.497175i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.147169 | − | 0.184544i | 0.00668950 | − | 0.00838837i | ||||
\(485\) | −1.82122 | + | 4.64038i | −0.0826972 | + | 0.210709i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 33.1341 | − | 4.99417i | 1.50145 | − | 0.226307i | 0.653721 | − | 0.756736i | \(-0.273207\pi\) |
0.847730 | + | 0.530428i | \(0.177969\pi\) | |||||||
\(488\) | 9.68977 | − | 8.99079i | 0.438635 | − | 0.406994i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 18.9314 | + | 9.98920i | 0.855235 | + | 0.451266i | ||||
\(491\) | 3.69190 | 0.166613 | 0.0833064 | − | 0.996524i | \(-0.473452\pi\) | ||||
0.0833064 | + | 0.996524i | \(0.473452\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.15549 | + | 0.174162i | −0.0520406 | + | 0.00784386i | ||||
\(494\) | 0.216770 | − | 2.89259i | 0.00975293 | − | 0.130144i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.992281 | + | 1.24428i | −0.0445547 | + | 0.0558699i | ||||
\(497\) | 0.565178 | + | 0.544058i | 0.0253517 | + | 0.0244044i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −31.0729 | + | 9.58473i | −1.39102 | + | 0.429072i | −0.897634 | − | 0.440741i | \(-0.854716\pi\) |
−0.493382 | + | 0.869813i | \(0.664239\pi\) | |||||||
\(500\) | −0.972252 | − | 2.47726i | −0.0434804 | − | 0.110786i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.46734 | − | 32.9244i | −0.110123 | − | 1.46949i | ||||
\(503\) | 4.31696 | + | 18.9138i | 0.192484 | + | 0.843326i | 0.975267 | + | 0.221032i | \(0.0709424\pi\) |
−0.782783 | + | 0.622295i | \(0.786200\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.19905 | − | 40.3037i | 0.409352 | − | 1.79349i | ||||
\(506\) | 15.5463 | + | 2.34323i | 0.691117 | + | 0.104169i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.874513 | + | 1.51470i | −0.0388002 | + | 0.0672040i | ||||
\(509\) | 8.15626 | + | 14.1271i | 0.361520 | + | 0.626171i | 0.988211 | − | 0.153097i | \(-0.0489246\pi\) |
−0.626691 | + | 0.779268i | \(0.715591\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −16.3595 | + | 39.5331i | −0.723702 | + | 1.74884i | ||||
\(512\) | 22.7788 | − | 10.9697i | 1.00669 | − | 0.484796i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.2811 | + | 12.3231i | 0.585805 | + | 0.543547i | ||||
\(515\) | −19.5067 | − | 18.0996i | −0.859570 | − | 0.797564i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.91876 | − | 1.40560i | 0.128367 | − | 0.0618182i | ||||
\(518\) | 11.7652 | − | 28.4308i | 0.516933 | − | 1.24918i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −14.7265 | − | 25.5070i | −0.645799 | − | 1.11856i | ||||
\(521\) | 8.79223 | − | 15.2286i | 0.385195 | − | 0.667177i | −0.606601 | − | 0.795006i | \(-0.707468\pi\) |
0.991796 | + | 0.127829i | \(0.0408009\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.3495 | − | 3.36864i | −0.977273 | − | 0.147300i | −0.359063 | − | 0.933313i | \(-0.616904\pi\) |
−0.618210 | + | 0.786013i | \(0.712142\pi\) | |||||||
\(524\) | 0.971535 | − | 4.25657i | 0.0424417 | − | 0.185949i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.20423 | − | 31.5638i | −0.314119 | − | 1.37625i | ||||
\(527\) | 0.00783162 | + | 0.104506i | 0.000341151 | + | 0.00455234i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.27424 | − | 8.34262i | −0.142358 | − | 0.362723i | ||||
\(530\) | −36.5167 | + | 11.2639i | −1.58619 | + | 0.489274i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.240572 | − | 0.231582i | −0.0104301 | − | 0.0100403i | ||||
\(533\) | −27.7191 | + | 34.7586i | −1.20065 | + | 1.50556i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.01635 | + | 13.5622i | −0.0439404 | + | 0.586345i | ||||
\(536\) | 27.1873 | − | 4.09783i | 1.17431 | − | 0.176999i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −12.9861 | −0.559870 | ||||||||
\(539\) | 20.3277 | − | 8.88524i | 0.875577 | − | 0.382714i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.1738 | + | 13.1514i | −0.609380 | + | 0.565422i | −0.923325 | − | 0.384019i | \(-0.874540\pi\) |
0.313945 | + | 0.949441i | \(0.398349\pi\) | |||||||
\(542\) | 4.15684 | − | 0.626543i | 0.178552 | − | 0.0269123i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.115089 | − | 0.293242i | 0.00493440 | − | 0.0125727i | ||||
\(545\) | −5.04606 | + | 6.32755i | −0.216149 | + | 0.271043i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.1440 | − | 17.7360i | −0.604754 | − | 0.758338i | 0.381356 | − | 0.924428i | \(-0.375457\pi\) |
−0.986111 | + | 0.166090i | \(0.946886\pi\) | |||||||
\(548\) | 0.00791845 | − | 0.00244252i | 0.000338259 | − | 0.000104339i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.33903 | − | 0.413035i | −0.0570962 | − | 0.0176119i | ||||
\(551\) | 0.196732 | + | 2.62521i | 0.00838108 | + | 0.111838i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.4430 | − | 12.6129i | 0.444081 | − | 0.536353i | ||||
\(554\) | −5.20875 | + | 22.8210i | −0.221298 | + | 0.969572i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.12897 | − | 2.81508i | 0.175107 | − | 0.119386i | ||||
\(557\) | 18.4901 | − | 32.0258i | 0.783451 | − | 1.35698i | −0.146469 | − | 0.989215i | \(-0.546791\pi\) |
0.929920 | − | 0.367762i | \(-0.119876\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 29.7677 | + | 14.3354i | 1.25904 | + | 0.606321i | ||||
\(560\) | 20.7550 | + | 3.51920i | 0.877058 | + | 0.148714i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.39416 | − | 2.99589i | −0.185357 | − | 0.126374i | ||||
\(563\) | 13.7521 | + | 12.7601i | 0.579581 | + | 0.537772i | 0.914559 | − | 0.404454i | \(-0.132538\pi\) |
−0.334978 | + | 0.942226i | \(0.608729\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −38.1900 | − | 26.0375i | −1.60666 | − | 1.09541i | ||||
\(566\) | 26.9635 | − | 12.9849i | 1.13336 | − | 0.545797i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.794766 | + | 0.382739i | 0.0333476 | + | 0.0160594i | ||||
\(569\) | 8.68718 | + | 15.0466i | 0.364186 | + | 0.630788i | 0.988645 | − | 0.150269i | \(-0.0480141\pi\) |
−0.624460 | + | 0.781057i | \(0.714681\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.6498 | − | 16.8059i | 1.03156 | − | 0.703306i | 0.0757011 | − | 0.997131i | \(-0.475881\pi\) |
0.955859 | + | 0.293825i | \(0.0949281\pi\) | |||||||
\(572\) | −3.31741 | − | 0.500019i | −0.138708 | − | 0.0209069i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.43276 | − | 35.5629i | −0.310237 | − | 1.48437i | ||||
\(575\) | −0.278415 | − | 1.21981i | −0.0116107 | − | 0.0508698i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.55136 | + | 2.32929i | 0.314367 | + | 0.0969694i | 0.447924 | − | 0.894072i | \(-0.352164\pi\) |
−0.133557 | + | 0.991041i | \(0.542640\pi\) | |||||||
\(578\) | −8.19838 | − | 20.8891i | −0.341008 | − | 0.868873i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.83168 | + | 2.29685i | 0.0760562 | + | 0.0953714i | ||||
\(581\) | −34.2685 | + | 4.52331i | −1.42170 | + | 0.187659i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.4698 | + | 36.8684i | −0.599277 | + | 1.52693i | ||||
\(584\) | −3.59519 | + | 47.9745i | −0.148770 | + | 1.98520i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.3366 | − | 14.2303i | 0.633550 | − | 0.587849i | ||||
\(587\) | −21.5330 | −0.888764 | −0.444382 | − | 0.895838i | \(-0.646577\pi\) | ||||
−0.444382 | + | 0.895838i | \(0.646577\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.236098 | 0.00972826 | ||||||||
\(590\) | 2.92005 | − | 2.70941i | 0.120217 | − | 0.111545i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.26135 | − | 30.1756i | 0.0929408 | − | 1.24021i | ||||
\(593\) | −9.68980 | + | 24.6892i | −0.397912 | + | 1.01386i | 0.581778 | + | 0.813348i | \(0.302357\pi\) |
−0.979690 | + | 0.200517i | \(0.935738\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.15948 | − | 0.759717i | 0.0475342 | − | 0.0311454i | ||||
\(596\) | −0.151467 | − | 0.189934i | −0.00620434 | − | 0.00777999i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.76892 | + | 19.7949i | 0.317695 | + | 0.809473i | ||||
\(599\) | 17.1151 | + | 5.27932i | 0.699305 | + | 0.215707i | 0.623967 | − | 0.781451i | \(-0.285520\pi\) |
0.0753386 | + | 0.997158i | \(0.475996\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.00401 | + | 8.78013i | 0.0817451 | + | 0.358149i | 0.999213 | − | 0.0396606i | \(-0.0126277\pi\) |
−0.917468 | + | 0.397809i | \(0.869771\pi\) | |||||||
\(602\) | −24.5374 | + | 11.2663i | −1.00007 | + | 0.459181i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.41096 | − | 0.212668i | −0.0574111 | − | 0.00865333i | ||||
\(605\) | 1.82394 | − | 1.24354i | 0.0741537 | − | 0.0505572i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.90754 | + | 10.2322i | 0.239780 | + | 0.415311i | 0.960651 | − | 0.277758i | \(-0.0895914\pi\) |
−0.720871 | + | 0.693069i | \(0.756258\pi\) | |||||||
\(608\) | −0.639414 | − | 0.307925i | −0.0259316 | − | 0.0124880i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 12.2411 | − | 5.89499i | 0.495627 | − | 0.238681i | ||||
\(611\) | 3.62035 | + | 2.46832i | 0.146464 | + | 0.0998573i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.44220 | + | 3.19390i | 0.139029 | + | 0.129000i | 0.746622 | − | 0.665248i | \(-0.231674\pi\) |
−0.607593 | + | 0.794249i | \(0.707865\pi\) | |||||||
\(614\) | 0.624230 | + | 0.425593i | 0.0251919 | + | 0.0171755i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 18.5950 | − | 16.6288i | 0.749213 | − | 0.669993i | ||||
\(617\) | −16.5171 | − | 7.95420i | −0.664952 | − | 0.320224i | 0.0707850 | − | 0.997492i | \(-0.477450\pi\) |
−0.735737 | + | 0.677268i | \(0.763164\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.6650 | − | 35.7928i | 0.830596 | − | 1.43863i | −0.0669701 | − | 0.997755i | \(-0.521333\pi\) |
0.897566 | − | 0.440880i | \(-0.145333\pi\) | |||||||
\(620\) | 0.217689 | − | 0.148418i | 0.00874261 | − | 0.00596061i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −7.81260 | + | 34.2292i | −0.313257 | + | 1.37247i | ||||
\(623\) | −4.90177 | − | 6.38365i | −0.196385 | − | 0.255756i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.98470 | − | 26.4839i | −0.0793878 | − | 1.05936i | ||||
\(626\) | −22.3519 | − | 6.89465i | −0.893361 | − | 0.275566i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.83608 | − | 0.874814i | 0.113172 | − | 0.0349089i | ||||
\(629\) | −1.24237 | − | 1.55789i | −0.0495366 | − | 0.0621170i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.73657 | + | 7.19343i | −0.228369 | + | 0.286366i | −0.882793 | − | 0.469762i | \(-0.844340\pi\) |
0.654424 | + | 0.756128i | \(0.272911\pi\) | |||||||
\(632\) | 6.72699 | − | 17.1401i | 0.267585 | − | 0.681796i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.27795 | + | 0.343345i | −0.0904689 | + | 0.0136360i | ||||
\(635\) | −11.9908 | + | 11.1258i | −0.475841 | + | 0.441516i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 24.1550 | + | 17.8020i | 0.957057 | + | 0.705342i | ||||
\(638\) | −21.6144 | −0.855722 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 20.0511 | − | 3.02222i | 0.792590 | − | 0.119464i | ||||
\(641\) | −1.28174 | + | 17.1037i | −0.0506258 | + | 0.675554i | 0.912942 | + | 0.408089i | \(0.133805\pi\) |
−0.963568 | + | 0.267464i | \(0.913814\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.7569 | − | 26.0284i | 0.818574 | − | 1.02646i | −0.180506 | − | 0.983574i | \(-0.557773\pi\) |
0.999080 | − | 0.0428856i | \(-0.0136551\pi\) | |||||||
\(644\) | 2.32557 | + | 0.764381i | 0.0916403 | + | 0.0301208i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.146692 | − | 0.0452486i | 0.00577154 | − | 0.00178028i | ||||
\(647\) | −1.74626 | − | 4.44940i | −0.0686526 | − | 0.174924i | 0.892430 | − | 0.451187i | \(-0.148999\pi\) |
−0.961082 | + | 0.276263i | \(0.910904\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.308522 | − | 4.11694i | −0.0121106 | − | 0.161604i | ||||
\(650\) | −0.421748 | − | 1.84780i | −0.0165423 | − | 0.0724766i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.07594 | + | 4.71401i | −0.0421371 | + | 0.184615i | ||||
\(653\) | −18.0422 | − | 2.71943i | −0.706046 | − | 0.106419i | −0.213803 | − | 0.976877i | \(-0.568585\pi\) |
−0.492244 | + | 0.870458i | \(0.663823\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.4162 | − | 35.3619i | 0.797728 | − | 1.38171i | ||||
\(656\) | −17.8653 | − | 30.9436i | −0.697522 | − | 1.20814i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.44050 | + | 0.992448i | −0.134125 | + | 0.0386897i | ||||
\(659\) | −15.0258 | + | 7.23603i | −0.585321 | + | 0.281876i | −0.703016 | − | 0.711174i | \(-0.748164\pi\) |
0.117695 | + | 0.993050i | \(0.462449\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.9543 | − | 21.2984i | −0.892818 | − | 0.828414i | 0.0930981 | − | 0.995657i | \(-0.470323\pi\) |
−0.985916 | + | 0.167243i | \(0.946513\pi\) | |||||||
\(662\) | −13.4297 | − | 12.4610i | −0.521962 | − | 0.484310i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −35.0185 | + | 16.8640i | −1.35898 | + | 0.654451i | ||||
\(665\) | −1.51155 | − | 2.73277i | −0.0586154 | − | 0.105972i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.64960 | − | 16.7136i | −0.373634 | − | 0.647153i | ||||
\(668\) | −2.08053 | + | 3.60359i | −0.0804983 | + | 0.139427i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 27.9446 | + | 4.21197i | 1.07959 | + | 0.162722i | ||||
\(671\) | 3.13340 | − | 13.7283i | 0.120964 | − | 0.529976i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.01194 | − | 30.7213i | −0.270290 | − | 1.18422i | −0.909671 | − | 0.415329i | \(-0.863666\pi\) |
0.639381 | − | 0.768890i | \(-0.279191\pi\) | |||||||
\(674\) | 2.33149 | + | 31.1116i | 0.0898058 | + | 1.19837i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.484939 | − | 1.23560i | −0.0186515 | − | 0.0475232i | ||||
\(677\) | −9.76627 | + | 3.01250i | −0.375348 | + | 0.115780i | −0.476689 | − | 0.879072i | \(-0.658163\pi\) |
0.101340 | + | 0.994852i | \(0.467687\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.98839 | − | 5.35333i | −0.0763073 | − | 0.205442i | ||||
\(680\) | 0.971849 | − | 1.21866i | 0.0372687 | − | 0.0467335i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.144861 | + | 1.93303i | −0.00554701 | + | 0.0740197i | ||||
\(683\) | −16.2086 | + | 2.44305i | −0.620205 | + | 0.0934808i | −0.451626 | − | 0.892207i | \(-0.649156\pi\) |
−0.168579 | + | 0.985688i | \(0.553918\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0774987 | 0.00296107 | ||||||||
\(686\) | −23.7943 | + | 5.92669i | −0.908472 | + | 0.226282i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −19.4652 | + | 18.0611i | −0.742105 | + | 0.688573i | ||||
\(689\) | −52.9716 | + | 7.98418i | −2.01806 | + | 0.304173i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.70701 | + | 11.9933i | −0.179063 | + | 0.456246i | −0.992020 | − | 0.126078i | \(-0.959761\pi\) |
0.812957 | + | 0.582324i | \(0.197856\pi\) | |||||||
\(692\) | −1.35444 | + | 1.69841i | −0.0514880 | + | 0.0645640i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.47141 | − | 8.11490i | −0.245652 | − | 0.308037i | ||||
\(695\) | 44.6599 | − | 13.7758i | 1.69405 | − | 0.522544i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.24830 | − | 0.693509i | −0.0851604 | − | 0.0262685i | ||||
\(698\) | 0.877109 | + | 11.7042i | 0.0331991 | + | 0.443011i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.194807 | − | 0.0982606i | −0.00736301 | − | 0.00371390i | ||||
\(701\) | −1.47713 | + | 6.47171i | −0.0557903 | + | 0.244433i | −0.995132 | − | 0.0985490i | \(-0.968580\pi\) |
0.939342 | + | 0.342982i | \(0.111437\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.70906 | + | 2.52880i | −0.139890 | + | 0.0953754i | ||||
\(704\) | 13.8319 | − | 23.9575i | 0.521309 | − | 0.902934i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 31.5196 | + | 15.1790i | 1.18626 | + | 0.571271i | ||||
\(707\) | 22.9221 | + | 41.4414i | 0.862076 | + | 1.55857i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.4585 | − | 15.3120i | −0.843447 | − | 0.575053i | 0.0626917 | − | 0.998033i | \(-0.480032\pi\) |
−0.906139 | + | 0.422980i | \(0.860984\pi\) | |||||||
\(710\) | 0.664653 | + | 0.616708i | 0.0249440 | + | 0.0231446i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.47760 | − | 5.09814i | −0.280235 | − | 0.191061i | ||||
\(713\) | −1.55941 | + | 0.750974i | −0.0584005 | + | 0.0281242i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −28.2687 | − | 13.6135i | −1.05719 | − | 0.509115i | ||||
\(716\) | 1.60233 | + | 2.77531i | 0.0598817 | + | 0.103718i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 35.4790 | − | 24.1892i | 1.32406 | − | 0.902732i | ||||
\(719\) | 9.48182 | + | 1.42915i | 0.353612 | + | 0.0532984i | 0.323446 | − | 0.946246i | \(-0.395158\pi\) |
0.0301656 | + | 0.999545i | \(0.490397\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.4791 | + | 0.559730i | 1.13510 | + | 0.0208454i | ||||
\(722\) | 5.52090 | + | 24.1886i | 0.205467 | + | 0.900208i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.89915 | + | 1.20273i | 0.144911 | + | 0.0446990i | ||||
\(725\) | 0.628431 | + | 1.60122i | 0.0233394 | + | 0.0594677i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.6459 | − | 34.6669i | −1.02533 | − | 1.28572i | −0.957625 | − | 0.288017i | \(-0.907004\pi\) |
−0.0677043 | − | 0.997705i | \(-0.521567\pi\) | |||||||
\(728\) | 32.0536 | + | 10.5356i | 1.18799 | + | 0.390474i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.0657 | + | 46.0307i | −0.668643 | + | 1.70367i | ||||
\(731\) | −0.130669 | + | 1.74365i | −0.00483295 | + | 0.0644913i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.0771 | + | 11.2059i | −0.446076 | + | 0.413898i | −0.870963 | − | 0.491348i | \(-0.836504\pi\) |
0.424887 | + | 0.905246i | \(0.360314\pi\) | |||||||
\(734\) | −28.3381 | −1.04598 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.20273 | 0.191775 | ||||||||
\(737\) | 21.4707 | − | 19.9219i | 0.790883 | − | 0.733832i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.25799 | − | 16.7867i | 0.0462759 | − | 0.617509i | −0.925064 | − | 0.379812i | \(-0.875989\pi\) |
0.971339 | − | 0.237697i | \(-0.0763924\pi\) | |||||||
\(740\) | −1.83019 | + | 4.66325i | −0.0672791 | + | 0.171424i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.5813 | − | 37.5043i | 0.828985 | − | 1.37683i | ||||
\(743\) | −28.7192 | − | 36.0128i | −1.05361 | − | 1.32118i | −0.944991 | − | 0.327096i | \(-0.893930\pi\) |
−0.108615 | − | 0.994084i | \(-0.534641\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.830052 | − | 2.11494i | −0.0304108 | − | 0.0774854i | ||||
\(746\) | 35.8038 | + | 11.0440i | 1.31087 | + | 0.404350i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0395084 | − | 0.173098i | −0.00144457 | − | 0.00632907i | ||||
\(749\) | −9.48875 | − | 12.3573i | −0.346711 | − | 0.451527i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.7964 | + | 4.34035i | 1.05079 | + | 0.158382i | 0.651660 | − | 0.758511i | \(-0.274073\pi\) |
0.399134 | + | 0.916893i | \(0.369311\pi\) | |||||||
\(752\) | −2.90965 | + | 1.98377i | −0.106104 | + | 0.0723405i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14.6174 | − | 25.3181i | −0.532334 | − | 0.922030i | ||||
\(755\) | −12.0232 | − | 5.79007i | −0.437569 | − | 0.210722i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.8709 | − | 9.56934i | 0.722222 | − | 0.347804i | −0.0363980 | − | 0.999337i | \(-0.511588\pi\) |
0.758620 | + | 0.651534i | \(0.225874\pi\) | |||||||
\(758\) | −12.9252 | − | 8.81226i | −0.469465 | − | 0.320076i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.57419 | − | 2.38850i | −0.0933757 | − | 0.0866400i | ||||
\(761\) | 28.5822 | + | 19.4870i | 1.03611 | + | 0.706405i | 0.956889 | − | 0.290453i | \(-0.0938059\pi\) |
0.0792160 | + | 0.996857i | \(0.474758\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.522979 | − | 9.25669i | −0.0189331 | − | 0.335115i | ||||
\(764\) | −1.89304 | − | 0.911642i | −0.0684879 | − | 0.0329820i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.82031 | + | 17.0093i | −0.354822 | + | 0.614570i | ||||
\(767\) | 4.61375 | − | 3.14560i | 0.166593 | − | 0.113581i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.4938 | + | 45.9765i | −0.378417 | + | 1.65796i | 0.323900 | + | 0.946091i | \(0.395006\pi\) |
−0.702317 | + | 0.711864i | \(0.747851\pi\) | |||||||
\(770\) | 23.3017 | − | 10.6990i | 0.839736 | − | 0.385564i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.141637 | − | 1.89002i | −0.00509763 | − | 0.0680231i | ||||
\(773\) | 32.4590 | + | 10.0123i | 1.16747 | + | 0.360116i | 0.817100 | − | 0.576496i | \(-0.195580\pi\) |
0.350368 | + | 0.936612i | \(0.386057\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.147413 | − | 0.0454709i | 0.00529523 | − | 0.00163336i | ||||
\(776\) | −4.00367 | − | 5.02045i | −0.143724 | − | 0.180224i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.74052 | + | 4.69047i | −0.134104 | + | 0.168161i | ||||
\(779\) | −1.93653 | + | 4.93421i | −0.0693836 | + | 0.176786i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.929219 | − | 0.140057i | 0.0332501 | − | 0.00501164i | ||||
\(782\) | −0.824969 | + | 0.765459i | −0.0295008 | + | 0.0273728i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −20.4108 | + | 12.8442i | −0.728957 | + | 0.458721i | ||||
\(785\) | 27.7570 | 0.990689 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.49720 | + | 1.43147i | −0.338539 | + | 0.0510265i | −0.316112 | − | 0.948722i | \(-0.602377\pi\) |
−0.0224270 | + | 0.999748i | \(0.507139\pi\) | |||||||
\(788\) | −0.499548 | + | 6.66601i | −0.0177957 | + | 0.237467i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.8000 | − | 14.7967i | 0.419826 | − | 0.526445i | ||||
\(791\) | 52.4950 | − | 6.92913i | 1.86651 | − | 0.246371i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.1998 | − | 5.61389i | 0.646293 | − | 0.199355i | ||||
\(794\) | −9.29770 | − | 23.6902i | −0.329963 | − | 0.840733i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.0589822 | − | 0.787063i | −0.00209057 | − | 0.0278967i | ||||
\(797\) | −2.88666 | − | 12.6473i | −0.102251 | − | 0.447990i | −0.999972 | − | 0.00742666i | \(-0.997636\pi\) |
0.897722 | − | 0.440563i | \(-0.145221\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.0516009 | + | 0.226078i | −0.00182551 | + | 0.00799807i | ||||
\(800\) | −0.458536 | − | 0.0691131i | −0.0162117 | − | 0.00244352i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.72657 | − | 15.1149i | 0.308146 | − | 0.533725i | ||||
\(803\) | 25.6249 | + | 44.3837i | 0.904284 | + | 1.56627i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 18.6760 | + | 13.2419i | 0.658243 | + | 0.466714i | ||||
\(806\) | −2.36223 | + | 1.13759i | −0.0832060 | + | 0.0400699i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 39.0367 | + | 36.2208i | 1.37331 | + | 1.27424i | ||||
\(809\) | 3.39818 | + | 3.15305i | 0.119474 | + | 0.110855i | 0.737647 | − | 0.675186i | \(-0.235937\pi\) |
−0.618174 | + | 0.786042i | \(0.712127\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −49.7355 | + | 23.9514i | −1.74645 | + | 0.841046i | −0.766383 | + | 0.642384i | \(0.777945\pi\) |
−0.980068 | + | 0.198662i | \(0.936340\pi\) | |||||||
\(812\) | −3.31810 | − | 0.562615i | −0.116442 | − | 0.0197439i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −18.4286 | − | 31.9192i | −0.645921 | − | 1.11877i | ||||
\(815\) | −22.6103 | + | 39.1621i | −0.792003 | + | 1.37179i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.89524 | + | 0.587113i | 0.136277 | + | 0.0205405i | ||||
\(818\) | 4.88260 | − | 21.3921i | 0.170716 | − | 0.747956i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.31624 | + | 5.76684i | 0.0459653 | + | 0.201387i | ||||
\(821\) | −0.990124 | − | 13.2123i | −0.0345556 | − | 0.461112i | −0.987463 | − | 0.157851i | \(-0.949544\pi\) |
0.952907 | − | 0.303261i | \(-0.0980755\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.51588 | − | 8.95832i | −0.122556 | − | 0.312268i | 0.856408 | − | 0.516299i | \(-0.172691\pi\) |
−0.978964 | + | 0.204032i | \(0.934595\pi\) | |||||||
\(824\) | 32.7552 | − | 10.1036i | 1.14108 | − | 0.351977i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.424514 | + | 4.54353i | −0.0147707 | + | 0.158089i | ||||
\(827\) | 3.43877 | − | 4.31208i | 0.119578 | − | 0.149946i | −0.718440 | − | 0.695589i | \(-0.755143\pi\) |
0.838017 | + | 0.545644i | \(0.183715\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.37184 | + | 18.3060i | −0.0476461 | + | 0.635793i | 0.921353 | + | 0.388728i | \(0.127085\pi\) |
−0.968999 | + | 0.247066i | \(0.920534\pi\) | |||||||
\(830\) | −39.5040 | + | 5.95427i | −1.37120 | + | 0.206676i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 37.4170 | 1.29720 | ||||||||
\(833\) | −0.409971 | + | 1.53418i | −0.0142047 | + | 0.0531561i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.5271 | + | 26.4693i | −0.987220 | + | 0.916007i | ||||
\(836\) | −0.395528 | + | 0.0596162i | −0.0136796 | + | 0.00206187i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.4079 | + | 41.8066i | −0.566801 | + | 1.44419i | ||||
\(839\) | 24.9648 | − | 31.3048i | 0.861880 | − | 1.08076i | −0.134081 | − | 0.990970i | \(-0.542808\pi\) |
0.995960 | − | 0.0897925i | \(-0.0286204\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.53849 | − | 1.92920i | −0.0530513 | − | 0.0665242i | ||||
\(842\) | 1.37349 | − | 0.423667i | 0.0473337 | − | 0.0146005i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.67022 | + | 0.515195i | 0.0574914 | + | 0.0177337i | ||||
\(845\) | −0.927687 | − | 12.3791i | −0.0319134 | − | 0.425855i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.607906 | + | 2.45474i | −0.0208879 | + | 0.0843458i | ||||
\(848\) | 9.58036 | − | 41.9743i | 0.328991 | − | 1.44140i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.0828760 | − | 0.0565039i | 0.00284262 | − | 0.00193807i | ||||
\(851\) | 16.4546 | − | 28.5002i | 0.564057 | − | 0.976975i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −0.325109 | − | 0.156564i | −0.0111315 | − | 0.00536065i | 0.428310 | − | 0.903632i | \(-0.359109\pi\) |
−0.439441 | + | 0.898271i | \(0.644824\pi\) | |||||||
\(854\) | −5.95141 | + | 14.3817i | −0.203653 | + | 0.492132i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.4750 | − | 9.86887i | −0.494744 | − | 0.337311i | ||||
\(857\) | −32.2142 | − | 29.8904i | −1.10042 | − | 1.02104i | −0.999659 | − | 0.0261264i | \(-0.991683\pi\) |
−0.100758 | − | 0.994911i | \(-0.532127\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.9562 | − | 28.6052i | −1.43153 | − | 0.975998i | −0.997164 | − | 0.0752606i | \(-0.976021\pi\) |
−0.434363 | − | 0.900738i | \(-0.643026\pi\) | |||||||
\(860\) | 3.96060 | − | 1.90732i | 0.135055 | − | 0.0650392i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −14.0368 | − | 6.75978i | −0.478096 | − | 0.230239i | ||||
\(863\) | −17.2125 | − | 29.8129i | −0.585920 | − | 1.01484i | −0.994760 | − | 0.102238i | \(-0.967400\pi\) |
0.408840 | − | 0.912606i | \(-0.365934\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.7862 | + | 11.4447i | −0.570749 | + | 0.389130i | ||||
\(866\) | 15.3054 | + | 2.30692i | 0.520098 | + | 0.0783922i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.0725542 | + | 0.292976i | −0.00246265 | + | 0.00994424i | ||||
\(869\) | −4.36475 | − | 19.1232i | −0.148064 | − | 0.648711i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 37.8558 | + | 11.6770i | 1.28269 | + | 0.395659i | ||||
\(872\) | −3.80879 | − | 9.70465i | −0.128982 | − | 0.328641i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.58077 | + | 1.98222i | 0.0534704 | + | 0.0670497i | ||||
\(875\) | 20.5410 | + | 19.7734i | 0.694411 | + | 0.668462i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.64743 | + | 22.0333i | −0.292003 | + | 0.744011i | 0.707308 | + | 0.706905i | \(0.249909\pi\) |
−0.999311 | + | 0.0371062i | \(0.988186\pi\) | |||||||
\(878\) | −0.110842 | + | 1.47909i | −0.00374074 | + | 0.0499167i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18.4850 | − | 17.1516i | 0.623130 | − | 0.578180i | ||||
\(881\) | −26.8509 | −0.904628 | −0.452314 | − | 0.891859i | \(-0.649401\pi\) | ||||
−0.452314 | + | 0.891859i | \(0.649401\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −38.3596 | −1.29090 | −0.645451 | − | 0.763802i | \(-0.723331\pi\) | ||||
−0.645451 | + | 0.763802i | \(0.723331\pi\) | |||||||
\(884\) | 0.176040 | − | 0.163341i | 0.00592085 | − | 0.00549375i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.78005 | + | 50.4412i | −0.126993 | + | 1.69461i | ||||
\(887\) | −8.88693 | + | 22.6435i | −0.298394 | + | 0.760295i | 0.700517 | + | 0.713636i | \(0.252953\pi\) |
−0.998911 | + | 0.0466596i | \(0.985142\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.74321 | − | 18.6574i | 0.0584654 | − | 0.625750i | ||||
\(890\) | −5.79985 | − | 7.27279i | −0.194412 | − | 0.243784i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.780389 | − | 1.98840i | −0.0261293 | − | 0.0665765i | ||||
\(893\) | 0.499214 | + | 0.153987i | 0.0167056 | + | 0.00515298i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.66914 | + | 29.2194i | 0.222925 | + | 0.976697i | ||||
\(896\) | −14.8144 | + | 17.8926i | −0.494916 | + | 0.597751i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 41.4755 | + | 6.25143i | 1.38406 | + | 0.208613i | ||||
\(899\) | 1.96605 | − | 1.34043i | 0.0655716 | − | 0.0447059i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.41753 | − | 2.45523i | −0.0472247 | − | 0.0817956i | ||||
\(902\) | −39.2102 | − | 18.8827i | −1.30556 | − | 0.628724i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 53.6438 | − | 25.8335i | 1.78417 | − | 0.859210i | ||||
\(905\) | 31.5304 | + | 21.4971i | 1.04811 | + | 0.714587i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.75779 | − | 2.55886i | −0.0915710 | − | 0.0849655i | 0.633059 | − | 0.774103i | \(-0.281799\pi\) |
−0.724630 | + | 0.689138i | \(0.757989\pi\) | |||||||
\(908\) | 5.93311 | + | 4.04513i | 0.196897 | + | 0.134242i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 28.2908 | + | 20.0590i | 0.937831 | + | 0.664950i | ||||
\(911\) | 1.64045 | + | 0.789997i | 0.0543504 | + | 0.0261738i | 0.460862 | − | 0.887472i | \(-0.347540\pi\) |
−0.406511 | + | 0.913646i | \(0.633255\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.7026 | + | 35.8579i | −0.685155 | + | 1.18672i | ||||
\(914\) | −41.2363 | + | 28.1144i | −1.36397 | + | 0.929942i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.534345 | + | 2.34112i | −0.0176553 | + | 0.0773527i | ||||
\(917\) | 9.56971 | + | 45.7874i | 0.316020 | + | 1.51203i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0.680110 | + | 9.07544i | 0.0224348 | + | 0.299371i | 0.997123 | + | 0.0758021i | \(0.0241517\pi\) |
−0.974688 | + | 0.223569i | \(0.928229\pi\) | |||||||
\(920\) | 24.5996 | + | 7.58799i | 0.811026 | + | 0.250168i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −23.8287 | + | 7.35019i | −0.784757 | + | 0.242066i | ||||
\(923\) | 0.792469 | + | 0.993725i | 0.0260844 | + | 0.0327089i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.82880 | + | 2.29325i | −0.0601307 | + | 0.0754015i | ||||
\(926\) | 10.5311 | − | 26.8329i | 0.346074 | − | 0.881783i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.07280 | + | 1.06605i | −0.232176 | + | 0.0349949i | ||||
\(929\) | 8.97763 | − | 8.33002i | 0.294547 | − | 0.273299i | −0.519031 | − | 0.854755i | \(-0.673707\pi\) |
0.813578 | + | 0.581456i | \(0.197517\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.37762 | + | 1.17932i | 0.110697 | + | 0.0386507i | ||||
\(932\) | −2.38627 | −0.0781650 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 33.1043 | − | 4.98967i | 1.08321 | − | 0.163267i | ||||
\(935\) | 0.124089 | − | 1.65585i | 0.00405813 | − | 0.0541520i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.2908 | − | 27.9518i | 0.728208 | − | 0.913144i | −0.270563 | − | 0.962702i | \(-0.587210\pi\) |
0.998771 | + | 0.0495582i | \(0.0157813\pi\) | |||||||
\(938\) | −27.0793 | + | 17.7429i | −0.884169 | + | 0.579325i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.557090 | − | 0.171840i | 0.0181703 | − | 0.00560479i | ||||
\(941\) | 12.4382 | + | 31.6920i | 0.405473 | + | 1.03313i | 0.977131 | + | 0.212637i | \(0.0682053\pi\) |
−0.571658 | + | 0.820492i | \(0.693700\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.90390 | − | 38.7498i | −0.0945639 | − | 1.26187i | ||||
\(944\) | 0.998641 | + | 4.37533i | 0.0325030 | + | 0.142405i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.19691 | + | 31.5317i | −0.233992 | + | 1.02518i | ||||
\(947\) | 12.1588 | + | 1.83264i | 0.395107 | + | 0.0595527i | 0.343591 | − | 0.939119i | \(-0.388357\pi\) |
0.0515157 | + | 0.998672i | \(0.483595\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −34.6593 | + | 60.0317i | −1.12509 | + | 1.94871i | ||||
\(950\) | −0.112987 | − | 0.195700i | −0.00366579 | − | 0.00634934i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.100724 | + | 1.78280i | 0.00326447 | + | 0.0577809i | ||||
\(953\) | 14.9520 | − | 7.20053i | 0.484344 | − | 0.233248i | −0.175744 | − | 0.984436i | \(-0.556233\pi\) |
0.660088 | + | 0.751188i | \(0.270519\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.4047 | − | 13.3656i | −0.466124 | − | 0.432500i | ||||
\(956\) | −0.226486 | − | 0.210148i | −0.00732508 | − | 0.00679668i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.3877 | + | 11.2629i | −0.755622 | + | 0.363889i | ||||
\(959\) | −0.0661787 | + | 0.0591811i | −0.00213702 | + | 0.00191106i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.3933 | + | 26.6620i | 0.496558 | + | 0.860064i | ||||
\(962\) | 24.9258 | − | 43.1727i | 0.803639 | − | 1.39194i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.57484 | + | 0.388095i | 0.0829300 | + | 0.0124997i | ||||
\(965\) | 3.94430 | − | 17.2811i | 0.126972 | − | 0.556299i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.86836 | − | 34.4735i | −0.253029 | − | 1.10859i | −0.928537 | − | 0.371240i | \(-0.878933\pi\) |
0.675507 | − | 0.737353i | \(-0.263925\pi\) | |||||||
\(968\) | 0.212504 | + | 2.83567i | 0.00683014 | + | 0.0911418i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.41134 | − | 6.14400i | −0.0774235 | − | 0.197272i | ||||
\(971\) | 11.0147 | − | 3.39760i | 0.353480 | − | 0.109034i | −0.112930 | − | 0.993603i | \(-0.536023\pi\) |
0.466410 | + | 0.884569i | \(0.345547\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −27.6169 | + | 45.8677i | −0.885357 | + | 1.47045i | ||||
\(974\) | −27.6618 | + | 34.6868i | −0.886341 | + | 1.11144i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.14390 | + | 15.2643i | −0.0366154 | + | 0.488598i | ||||
\(977\) | −18.4833 | + | 2.78591i | −0.591334 | + | 0.0891292i | −0.437891 | − | 0.899028i | \(-0.644274\pi\) |
−0.153443 | + | 0.988157i | \(0.549036\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.64102 | −0.308128 | ||||||||
\(980\) | 3.85561 | − | 1.03590i | 0.123163 | − | 0.0330906i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.58329 | + | 3.32480i | −0.114347 | + | 0.106099i | ||||
\(983\) | −46.0375 | + | 6.93904i | −1.46837 | + | 0.221321i | −0.834024 | − | 0.551729i | \(-0.813968\pi\) |
−0.634345 | + | 0.773050i | \(0.718730\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −22.8401 | + | 58.1956i | −0.727746 | + | 1.85427i | ||||
\(986\) | 0.964652 | − | 1.20963i | 0.0307208 | − | 0.0385226i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.337319 | − | 0.422985i | −0.0107316 | − | 0.0134570i | ||||
\(989\) | −27.5953 | + | 8.51202i | −0.877480 | + | 0.270667i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.2827 | + | 7.79868i | 0.803131 | + | 0.247733i | 0.669031 | − | 0.743235i | \(-0.266709\pi\) |
0.134100 | + | 0.990968i | \(0.457186\pi\) | |||||||
\(992\) | 0.0479377 | + | 0.639684i | 0.00152202 | + | 0.0203100i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.03851 | − | 0.0190717i | −0.0329396 | − | 0.000604917i | ||||
\(995\) | 1.64253 | − | 7.19641i | 0.0520718 | − | 0.228141i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −7.38906 | + | 5.03777i | −0.234014 | + | 0.159548i | −0.674650 | − | 0.738138i | \(-0.735705\pi\) |
0.440636 | + | 0.897686i | \(0.354753\pi\) | |||||||
\(998\) | 21.5271 | − | 37.2861i | 0.681429 | − | 1.18027i | ||||
\(999\) | 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.bb.f.109.2 | ✓ | 72 | |
3.2 | odd | 2 | inner | 441.2.bb.f.109.5 | yes | 72 | |
49.9 | even | 21 | inner | 441.2.bb.f.352.2 | yes | 72 | |
147.107 | odd | 42 | inner | 441.2.bb.f.352.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bb.f.109.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
441.2.bb.f.109.5 | yes | 72 | 3.2 | odd | 2 | inner | |
441.2.bb.f.352.2 | yes | 72 | 49.9 | even | 21 | inner | |
441.2.bb.f.352.5 | yes | 72 | 147.107 | odd | 42 | inner |