Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.16 | ||
Character | \(\chi\) | \(=\) | 570.59 |
Dual form | 570.2.bf.a.29.16 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | − | 0.173648i | −0.696364 | − | 0.122788i | ||||
\(3\) | 1.28709 | − | 1.15905i | 0.743101 | − | 0.669179i | ||||
\(4\) | 0.939693 | + | 0.342020i | 0.469846 | + | 0.171010i | ||||
\(5\) | −1.01621 | − | 1.99181i | −0.454464 | − | 0.890765i | ||||
\(6\) | −1.46880 | + | 0.917943i | −0.599636 | + | 0.374749i | ||||
\(7\) | 3.34801 | − | 1.93297i | 1.26543 | − | 0.730595i | 0.291309 | − | 0.956629i | \(-0.405909\pi\) |
0.974120 | + | 0.226034i | \(0.0725759\pi\) | |||||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0.313195 | − | 2.98361i | 0.104398 | − | 0.994536i | ||||
\(10\) | 0.654901 | + | 2.13801i | 0.207098 | + | 0.676099i | ||||
\(11\) | −3.47920 | − | 2.00872i | −1.04902 | − | 0.605651i | −0.126643 | − | 0.991948i | \(-0.540420\pi\) |
−0.922374 | + | 0.386298i | \(0.873754\pi\) | |||||||
\(12\) | 1.60589 | − | 0.648943i | 0.463580 | − | 0.187334i | ||||
\(13\) | 0.681504 | − | 0.571849i | 0.189015 | − | 0.158602i | −0.543370 | − | 0.839494i | \(-0.682852\pi\) |
0.732385 | + | 0.680891i | \(0.238407\pi\) | |||||||
\(14\) | −3.63280 | + | 1.32223i | −0.970907 | + | 0.353381i | ||||
\(15\) | −3.61657 | − | 1.38579i | −0.933794 | − | 0.357810i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.566154 | + | 3.21082i | −0.137313 | + | 0.778738i | 0.835909 | + | 0.548868i | \(0.184941\pi\) |
−0.973221 | + | 0.229870i | \(0.926170\pi\) | |||||||
\(18\) | −0.826534 | + | 2.88389i | −0.194816 | + | 0.679740i | ||||
\(19\) | −3.42399 | + | 2.69746i | −0.785517 | + | 0.618840i | ||||
\(20\) | −0.273689 | − | 2.21926i | −0.0611987 | − | 0.496241i | ||||
\(21\) | 2.06877 | − | 6.36843i | 0.451442 | − | 1.38970i | ||||
\(22\) | 3.07753 | + | 2.58236i | 0.656132 | + | 0.550560i | ||||
\(23\) | 6.82620 | + | 2.48453i | 1.42336 | + | 0.518061i | 0.935021 | − | 0.354592i | \(-0.115380\pi\) |
0.488340 | + | 0.872653i | \(0.337603\pi\) | |||||||
\(24\) | −1.69418 | + | 0.360225i | −0.345823 | + | 0.0735305i | ||||
\(25\) | −2.93462 | + | 4.04821i | −0.586924 | + | 0.809642i | ||||
\(26\) | −0.770451 | + | 0.444820i | −0.151098 | + | 0.0872364i | ||||
\(27\) | −3.05505 | − | 4.20318i | −0.587944 | − | 0.808902i | ||||
\(28\) | 3.80722 | − | 0.671315i | 0.719496 | − | 0.126867i | ||||
\(29\) | −1.08755 | − | 6.16782i | −0.201953 | − | 1.14534i | −0.902162 | − | 0.431397i | \(-0.858021\pi\) |
0.700209 | − | 0.713938i | \(-0.253090\pi\) | |||||||
\(30\) | 3.32099 | + | 1.99275i | 0.606326 | + | 0.363825i | ||||
\(31\) | 1.50475 | − | 0.868765i | 0.270260 | − | 0.156035i | −0.358746 | − | 0.933435i | \(-0.616795\pi\) |
0.629006 | + | 0.777401i | \(0.283462\pi\) | |||||||
\(32\) | −0.642788 | − | 0.766044i | −0.113630 | − | 0.135419i | ||||
\(33\) | −6.80624 | + | 1.44718i | −1.18481 | + | 0.251921i | ||||
\(34\) | 1.11511 | − | 3.06373i | 0.191239 | − | 0.525425i | ||||
\(35\) | −7.25241 | − | 4.70429i | −1.22588 | − | 0.795170i | ||||
\(36\) | 1.31476 | − | 2.69655i | 0.219127 | − | 0.449426i | ||||
\(37\) | −2.85084 | −0.468674 | −0.234337 | − | 0.972155i | \(-0.575292\pi\) | ||||
−0.234337 | + | 0.972155i | \(0.575292\pi\) | |||||||
\(38\) | 3.84038 | − | 2.06191i | 0.622992 | − | 0.334486i | ||||
\(39\) | 0.214352 | − | 1.52592i | 0.0343238 | − | 0.244343i | ||||
\(40\) | −0.115839 | + | 2.23307i | −0.0183157 | + | 0.353079i | ||||
\(41\) | 4.43975 | + | 3.72539i | 0.693373 | + | 0.581809i | 0.919880 | − | 0.392201i | \(-0.128286\pi\) |
−0.226507 | + | 0.974010i | \(0.572731\pi\) | |||||||
\(42\) | −3.14320 | + | 5.91244i | −0.485007 | + | 0.912309i | ||||
\(43\) | −0.819901 | − | 2.25266i | −0.125034 | − | 0.343527i | 0.861344 | − | 0.508022i | \(-0.169623\pi\) |
−0.986378 | + | 0.164494i | \(0.947401\pi\) | |||||||
\(44\) | −2.58236 | − | 3.07753i | −0.389305 | − | 0.463955i | ||||
\(45\) | −6.26105 | + | 2.40816i | −0.933343 | + | 0.358987i | ||||
\(46\) | −6.29106 | − | 3.63214i | −0.927566 | − | 0.535531i | ||||
\(47\) | 1.50099 | + | 8.51256i | 0.218943 | + | 1.24168i | 0.873933 | + | 0.486047i | \(0.161562\pi\) |
−0.654990 | + | 0.755637i | \(0.727327\pi\) | |||||||
\(48\) | 1.73099 | − | 0.0605610i | 0.249847 | − | 0.00874123i | ||||
\(49\) | 3.97278 | − | 6.88105i | 0.567539 | − | 0.983007i | ||||
\(50\) | 3.59300 | − | 3.47712i | 0.508127 | − | 0.491739i | ||||
\(51\) | 2.99282 | + | 4.78881i | 0.419078 | + | 0.670568i | ||||
\(52\) | 0.835988 | − | 0.304275i | 0.115931 | − | 0.0421953i | ||||
\(53\) | 3.88287 | − | 10.6681i | 0.533354 | − | 1.46538i | −0.321702 | − | 0.946841i | \(-0.604255\pi\) |
0.855056 | − | 0.518536i | \(-0.173523\pi\) | |||||||
\(54\) | 2.27876 | + | 4.66982i | 0.310100 | + | 0.635482i | ||||
\(55\) | −0.465374 | + | 8.97119i | −0.0627510 | + | 1.20967i | ||||
\(56\) | −3.86595 | −0.516609 | ||||||||
\(57\) | −1.28048 | + | 7.44045i | −0.169604 | + | 0.985512i | ||||
\(58\) | 6.26297i | 0.822368i | ||||||||
\(59\) | 0.00803551 | − | 0.0455717i | 0.00104613 | − | 0.00593293i | −0.984280 | − | 0.176614i | \(-0.943486\pi\) |
0.985326 | + | 0.170681i | \(0.0545967\pi\) | |||||||
\(60\) | −2.92450 | − | 2.53916i | −0.377551 | − | 0.327804i | ||||
\(61\) | −2.60033 | − | 0.946444i | −0.332939 | − | 0.121180i | 0.170141 | − | 0.985420i | \(-0.445578\pi\) |
−0.503080 | + | 0.864240i | \(0.667800\pi\) | |||||||
\(62\) | −1.63274 | + | 0.594270i | −0.207359 | + | 0.0754724i | ||||
\(63\) | −4.71865 | − | 10.5945i | −0.594495 | − | 1.33479i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −1.83157 | − | 0.776305i | −0.227178 | − | 0.0962888i | ||||
\(66\) | 6.95414 | − | 0.243300i | 0.855996 | − | 0.0299481i | ||||
\(67\) | −0.646399 | − | 3.66591i | −0.0789702 | − | 0.447862i | −0.998496 | − | 0.0548318i | \(-0.982538\pi\) |
0.919525 | − | 0.393031i | \(-0.128573\pi\) | |||||||
\(68\) | −1.63018 | + | 2.82355i | −0.197688 | + | 0.342405i | ||||
\(69\) | 11.6656 | − | 4.71411i | 1.40438 | − | 0.567512i | ||||
\(70\) | 6.32534 | + | 5.89219i | 0.756023 | + | 0.704251i | ||||
\(71\) | −11.9518 | + | 4.35011i | −1.41842 | + | 0.516263i | −0.933589 | − | 0.358345i | \(-0.883341\pi\) |
−0.484831 | + | 0.874608i | \(0.661119\pi\) | |||||||
\(72\) | −1.76304 | + | 2.42728i | −0.207776 | + | 0.286058i | ||||
\(73\) | 7.68577 | − | 9.15955i | 0.899552 | − | 1.07204i | −0.0974943 | − | 0.995236i | \(-0.531083\pi\) |
0.997046 | − | 0.0768078i | \(-0.0244728\pi\) | |||||||
\(74\) | 2.80752 | + | 0.495042i | 0.326368 | + | 0.0575475i | ||||
\(75\) | 0.914971 | + | 8.61178i | 0.105652 | + | 0.994403i | ||||
\(76\) | −4.14008 | + | 1.36371i | −0.474900 | + | 0.156428i | ||||
\(77\) | −15.5312 | −1.76994 | ||||||||
\(78\) | −0.476069 | + | 1.46552i | −0.0539042 | + | 0.165937i | ||||
\(79\) | 7.79546 | − | 9.29027i | 0.877058 | − | 1.04524i | −0.121555 | − | 0.992585i | \(-0.538788\pi\) |
0.998613 | − | 0.0526520i | \(-0.0167674\pi\) | |||||||
\(80\) | 0.501847 | − | 2.17902i | 0.0561082 | − | 0.243622i | ||||
\(81\) | −8.80382 | − | 1.86890i | −0.978202 | − | 0.207656i | ||||
\(82\) | −3.72539 | − | 4.43975i | −0.411401 | − | 0.490288i | ||||
\(83\) | 1.50652 | + | 2.60937i | 0.165362 | + | 0.286416i | 0.936784 | − | 0.349909i | \(-0.113787\pi\) |
−0.771422 | + | 0.636324i | \(0.780454\pi\) | |||||||
\(84\) | 4.12213 | − | 5.27680i | 0.449762 | − | 0.575747i | ||||
\(85\) | 6.97068 | − | 2.13521i | 0.756076 | − | 0.231596i | ||||
\(86\) | 0.416275 | + | 2.36081i | 0.0448881 | + | 0.254573i | ||||
\(87\) | −8.54860 | − | 6.67800i | −0.916506 | − | 0.715957i | ||||
\(88\) | 2.00872 | + | 3.47920i | 0.214130 | + | 0.370884i | ||||
\(89\) | 6.50540 | − | 5.45868i | 0.689571 | − | 0.578618i | −0.229215 | − | 0.973376i | \(-0.573616\pi\) |
0.918785 | + | 0.394757i | \(0.129171\pi\) | |||||||
\(90\) | 6.58411 | − | 1.28435i | 0.694026 | − | 0.135382i | ||||
\(91\) | 1.17631 | − | 3.23189i | 0.123311 | − | 0.338794i | ||||
\(92\) | 5.56477 | + | 4.66940i | 0.580167 | + | 0.486818i | ||||
\(93\) | 0.929796 | − | 2.86226i | 0.0964154 | − | 0.296802i | ||||
\(94\) | − | 8.64388i | − | 0.891548i | ||||||
\(95\) | 8.85233 | + | 4.07875i | 0.908230 | + | 0.418471i | ||||
\(96\) | −1.71521 | − | 0.240943i | −0.175058 | − | 0.0245911i | ||||
\(97\) | −2.39112 | + | 13.5607i | −0.242782 | + | 1.37688i | 0.582806 | + | 0.812611i | \(0.301955\pi\) |
−0.825588 | + | 0.564273i | \(0.809157\pi\) | |||||||
\(98\) | −5.10730 | + | 6.08665i | −0.515915 | + | 0.614844i | ||||
\(99\) | −7.08288 | + | 9.75144i | −0.711857 | + | 0.980056i | ||||
\(100\) | −4.14221 | + | 2.80037i | −0.414221 | + | 0.280037i | ||||
\(101\) | 10.6630 | + | 12.7077i | 1.06101 | + | 1.26447i | 0.963063 | + | 0.269275i | \(0.0867840\pi\) |
0.0979496 | + | 0.995191i | \(0.468772\pi\) | |||||||
\(102\) | −2.11578 | − | 5.23576i | −0.209494 | − | 0.518417i | ||||
\(103\) | 3.57794 | − | 6.19717i | 0.352545 | − | 0.610626i | −0.634150 | − | 0.773210i | \(-0.718650\pi\) |
0.986695 | + | 0.162585i | \(0.0519830\pi\) | |||||||
\(104\) | −0.876124 | + | 0.154484i | −0.0859110 | + | 0.0151484i | ||||
\(105\) | −14.7870 | + | 2.35109i | −1.44306 | + | 0.229443i | ||||
\(106\) | −5.67638 | + | 9.83178i | −0.551339 | + | 0.954947i | ||||
\(107\) | 4.04355 | − | 2.33454i | 0.390904 | − | 0.225689i | −0.291648 | − | 0.956526i | \(-0.594203\pi\) |
0.682552 | + | 0.730837i | \(0.260870\pi\) | |||||||
\(108\) | −1.43323 | − | 4.99458i | −0.137913 | − | 0.480604i | ||||
\(109\) | 2.47142 | + | 6.79017i | 0.236719 | + | 0.650381i | 0.999991 | + | 0.00430289i | \(0.00136966\pi\) |
−0.763272 | + | 0.646078i | \(0.776408\pi\) | |||||||
\(110\) | 2.01613 | − | 8.75408i | 0.192231 | − | 0.834669i | ||||
\(111\) | −3.66928 | + | 3.30427i | −0.348272 | + | 0.313627i | ||||
\(112\) | 3.80722 | + | 0.671315i | 0.359748 | + | 0.0634333i | ||||
\(113\) | − | 4.32432i | − | 0.406798i | −0.979096 | − | 0.203399i | \(-0.934801\pi\) | ||
0.979096 | − | 0.203399i | \(-0.0651988\pi\) | |||||||
\(114\) | 2.55305 | − | 7.10506i | 0.239115 | − | 0.665450i | ||||
\(115\) | −1.98816 | − | 16.1213i | −0.185396 | − | 1.50332i | ||||
\(116\) | 1.08755 | − | 6.16782i | 0.100977 | − | 0.572668i | ||||
\(117\) | −1.49273 | − | 2.21244i | −0.138003 | − | 0.204540i | ||||
\(118\) | −0.0158269 | + | 0.0434840i | −0.00145698 | + | 0.00400302i | ||||
\(119\) | 4.31094 | + | 11.8442i | 0.395183 | + | 1.08576i | ||||
\(120\) | 2.43915 | + | 3.00842i | 0.222662 | + | 0.274630i | ||||
\(121\) | 2.56988 | + | 4.45116i | 0.233625 | + | 0.404651i | ||||
\(122\) | 2.39648 | + | 1.38361i | 0.216967 | + | 0.125266i | ||||
\(123\) | 10.0323 | − | 0.350992i | 0.904580 | − | 0.0316479i | ||||
\(124\) | 1.71113 | − | 0.301719i | 0.153664 | − | 0.0270952i | ||||
\(125\) | 11.0455 | + | 1.73136i | 0.987937 | + | 0.154858i | ||||
\(126\) | 2.80725 | + | 11.2530i | 0.250089 | + | 1.00249i | ||||
\(127\) | 2.47835 | − | 2.07958i | 0.219918 | − | 0.184533i | −0.526172 | − | 0.850378i | \(-0.676373\pi\) |
0.746090 | + | 0.665845i | \(0.231929\pi\) | |||||||
\(128\) | −0.342020 | − | 0.939693i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | −3.66624 | − | 1.94906i | −0.322794 | − | 0.171606i | ||||
\(130\) | 1.66894 | + | 1.08256i | 0.146376 | + | 0.0949468i | ||||
\(131\) | 7.71257 | + | 1.35993i | 0.673851 | + | 0.118818i | 0.500095 | − | 0.865971i | \(-0.333299\pi\) |
0.173756 | + | 0.984789i | \(0.444410\pi\) | |||||||
\(132\) | −6.89074 | − | 0.967970i | −0.599762 | − | 0.0842510i | ||||
\(133\) | −6.24943 | + | 15.6496i | −0.541894 | + | 1.35699i | ||||
\(134\) | 3.72246i | 0.321572i | ||||||||
\(135\) | −5.26735 | + | 10.3564i | −0.453341 | + | 0.891337i | ||||
\(136\) | 2.09571 | − | 2.49757i | 0.179706 | − | 0.214165i | ||||
\(137\) | 8.99292 | + | 3.27316i | 0.768317 | + | 0.279645i | 0.696292 | − | 0.717758i | \(-0.254832\pi\) |
0.0720248 | + | 0.997403i | \(0.477054\pi\) | |||||||
\(138\) | −12.3070 | + | 2.61678i | −1.04764 | + | 0.222755i | ||||
\(139\) | 16.7234 | − | 14.0326i | 1.41846 | − | 1.19023i | 0.466304 | − | 0.884625i | \(-0.345585\pi\) |
0.952158 | − | 0.305606i | \(-0.0988591\pi\) | |||||||
\(140\) | −5.20608 | − | 6.90105i | −0.439994 | − | 0.583245i | ||||
\(141\) | 11.7984 | + | 9.21669i | 0.993606 | + | 0.776185i | ||||
\(142\) | 12.5256 | − | 2.20861i | 1.05113 | − | 0.185342i | ||||
\(143\) | −3.51977 | + | 0.620630i | −0.294338 | + | 0.0518997i | ||||
\(144\) | 2.15775 | − | 2.08426i | 0.179812 | − | 0.173688i | ||||
\(145\) | −11.1799 | + | 8.43402i | −0.928444 | + | 0.700407i | ||||
\(146\) | −9.15955 | + | 7.68577i | −0.758049 | + | 0.636079i | ||||
\(147\) | −2.86218 | − | 13.4612i | −0.236069 | − | 1.11026i | ||||
\(148\) | −2.67891 | − | 0.975043i | −0.220205 | − | 0.0801480i | ||||
\(149\) | −12.7509 | + | 15.1960i | −1.04460 | + | 1.24490i | −0.0757813 | + | 0.997124i | \(0.524145\pi\) |
−0.968817 | + | 0.247779i | \(0.920299\pi\) | |||||||
\(150\) | 0.594350 | − | 8.63983i | 0.0485285 | − | 0.705440i | ||||
\(151\) | 6.57645i | 0.535184i | 0.963532 | + | 0.267592i | \(0.0862280\pi\) | ||||
−0.963532 | + | 0.267592i | \(0.913772\pi\) | |||||||
\(152\) | 4.31399 | − | 0.624074i | 0.349911 | − | 0.0506191i | ||||
\(153\) | 9.40251 | + | 2.69479i | 0.760148 | + | 0.217861i | ||||
\(154\) | 15.2952 | + | 2.69696i | 1.23252 | + | 0.217327i | ||||
\(155\) | −3.25956 | − | 2.11432i | −0.261814 | − | 0.169826i | ||||
\(156\) | 0.723320 | − | 1.36058i | 0.0579120 | − | 0.108934i | ||||
\(157\) | 7.45824 | + | 20.4913i | 0.595232 | + | 1.63539i | 0.760649 | + | 0.649163i | \(0.224881\pi\) |
−0.165417 | + | 0.986224i | \(0.552897\pi\) | |||||||
\(158\) | −9.29027 | + | 7.79546i | −0.739094 | + | 0.620173i | ||||
\(159\) | −7.36729 | − | 18.2313i | −0.584264 | − | 1.44583i | ||||
\(160\) | −0.872606 | + | 2.05878i | −0.0689856 | + | 0.162761i | ||||
\(161\) | 27.6567 | − | 4.87662i | 2.17965 | − | 0.384332i | ||||
\(162\) | 8.34554 | + | 3.36927i | 0.655687 | + | 0.264715i | ||||
\(163\) | 2.24857 | + | 1.29821i | 0.176121 | + | 0.101684i | 0.585469 | − | 0.810695i | \(-0.300910\pi\) |
−0.409348 | + | 0.912378i | \(0.634244\pi\) | |||||||
\(164\) | 2.89784 | + | 5.01921i | 0.226283 | + | 0.391934i | ||||
\(165\) | 9.79910 | + | 12.0861i | 0.762859 | + | 0.940902i | ||||
\(166\) | −1.03052 | − | 2.83133i | −0.0799840 | − | 0.219754i | ||||
\(167\) | −7.40665 | + | 20.3496i | −0.573144 | + | 1.57470i | 0.226363 | + | 0.974043i | \(0.427317\pi\) |
−0.799507 | + | 0.600657i | \(0.794906\pi\) | |||||||
\(168\) | −4.97582 | + | 4.48084i | −0.383893 | + | 0.345704i | ||||
\(169\) | −2.11999 | + | 12.0231i | −0.163076 | + | 0.924851i | ||||
\(170\) | −7.23555 | + | 0.892322i | −0.554942 | + | 0.0684380i | ||||
\(171\) | 6.97578 | + | 11.0607i | 0.533452 | + | 0.845831i | ||||
\(172\) | − | 2.39723i | − | 0.182787i | ||||||
\(173\) | 6.12627 | + | 1.08023i | 0.465771 | + | 0.0821281i | 0.401609 | − | 0.915811i | \(-0.368451\pi\) |
0.0641627 | + | 0.997939i | \(0.479562\pi\) | |||||||
\(174\) | 7.25911 | + | 8.06099i | 0.550312 | + | 0.611102i | ||||
\(175\) | −2.00005 | + | 19.2260i | −0.151190 | + | 1.45335i | ||||
\(176\) | −1.37404 | − | 3.77515i | −0.103572 | − | 0.284563i | ||||
\(177\) | −0.0424775 | − | 0.0679684i | −0.00319281 | − | 0.00510882i | ||||
\(178\) | −7.35445 | + | 4.24610i | −0.551240 | + | 0.318258i | ||||
\(179\) | 3.65830 | − | 6.33636i | 0.273434 | − | 0.473602i | −0.696305 | − | 0.717746i | \(-0.745174\pi\) |
0.969739 | + | 0.244145i | \(0.0785071\pi\) | |||||||
\(180\) | −6.70710 | + | 0.121521i | −0.499918 | + | 0.00905762i | ||||
\(181\) | −11.3503 | + | 2.00137i | −0.843663 | + | 0.148760i | −0.578743 | − | 0.815510i | \(-0.696457\pi\) |
−0.264920 | + | 0.964270i | \(0.585345\pi\) | |||||||
\(182\) | −1.71965 | + | 2.97852i | −0.127469 | + | 0.220783i | ||||
\(183\) | −4.44384 | + | 1.79577i | −0.328498 | + | 0.132747i | ||||
\(184\) | −4.66940 | − | 5.56477i | −0.344232 | − | 0.410240i | ||||
\(185\) | 2.89706 | + | 5.67832i | 0.212996 | + | 0.417479i | ||||
\(186\) | −1.41270 | + | 2.65731i | −0.103584 | + | 0.194844i | ||||
\(187\) | 8.41939 | − | 10.0338i | 0.615686 | − | 0.733747i | ||||
\(188\) | −1.50099 | + | 8.51256i | −0.109471 | + | 0.620842i | ||||
\(189\) | −18.3530 | − | 8.16694i | −1.33498 | − | 0.594058i | ||||
\(190\) | −8.00958 | − | 5.55397i | −0.581076 | − | 0.402928i | ||||
\(191\) | − | 23.4715i | − | 1.69834i | −0.528121 | − | 0.849169i | \(-0.677103\pi\) | ||
0.528121 | − | 0.849169i | \(-0.322897\pi\) | |||||||
\(192\) | 1.64731 | + | 0.535125i | 0.118885 | + | 0.0386193i | ||||
\(193\) | 16.7865 | + | 14.0855i | 1.20832 | + | 1.01390i | 0.999353 | + | 0.0359748i | \(0.0114536\pi\) |
0.208964 | + | 0.977923i | \(0.432991\pi\) | |||||||
\(194\) | 4.70959 | − | 12.9395i | 0.338129 | − | 0.929002i | ||||
\(195\) | −3.25717 | + | 1.12371i | −0.233251 | + | 0.0804706i | ||||
\(196\) | 6.08665 | − | 5.10730i | 0.434760 | − | 0.364807i | ||||
\(197\) | 6.06663 | + | 10.5077i | 0.432229 | + | 0.748643i | 0.997065 | − | 0.0765605i | \(-0.0243938\pi\) |
−0.564836 | + | 0.825203i | \(0.691060\pi\) | |||||||
\(198\) | 8.66860 | − | 8.37336i | 0.616051 | − | 0.595069i | ||||
\(199\) | −1.61915 | − | 9.18266i | −0.114779 | − | 0.650942i | −0.986860 | − | 0.161580i | \(-0.948341\pi\) |
0.872081 | − | 0.489362i | \(-0.162770\pi\) | |||||||
\(200\) | 4.56556 | − | 2.03854i | 0.322834 | − | 0.144147i | ||||
\(201\) | −5.08096 | − | 3.96914i | −0.358383 | − | 0.279962i | ||||
\(202\) | −8.29438 | − | 14.3663i | −0.583591 | − | 1.01081i | ||||
\(203\) | −15.5634 | − | 18.5477i | −1.09233 | − | 1.30179i | ||||
\(204\) | 1.17446 | + | 5.52361i | 0.0822285 | + | 0.386730i | ||||
\(205\) | 2.90854 | − | 12.6289i | 0.203142 | − | 0.882043i | ||||
\(206\) | −4.59971 | + | 5.48172i | −0.320477 | + | 0.381930i | ||||
\(207\) | 9.55080 | − | 19.5886i | 0.663826 | − | 1.36150i | ||||
\(208\) | 0.889640 | 0.0616854 | ||||||||
\(209\) | 17.3312 | − | 2.50717i | 1.19882 | − | 0.173425i | ||||
\(210\) | 14.9706 | + | 0.252366i | 1.03307 | + | 0.0174149i | ||||
\(211\) | −11.9430 | − | 2.10588i | −0.822191 | − | 0.144974i | −0.253300 | − | 0.967388i | \(-0.581516\pi\) |
−0.568891 | + | 0.822413i | \(0.692627\pi\) | |||||||
\(212\) | 7.29742 | − | 8.69672i | 0.501189 | − | 0.597293i | ||||
\(213\) | −10.3410 | + | 19.4518i | −0.708557 | + | 1.33281i | ||||
\(214\) | −4.38751 | + | 1.59692i | −0.299924 | + | 0.109163i | ||||
\(215\) | −3.65368 | + | 3.92227i | −0.249179 | + | 0.267497i | ||||
\(216\) | 0.544161 | + | 5.16758i | 0.0370254 | + | 0.351609i | ||||
\(217\) | 3.35860 | − | 5.81727i | 0.227997 | − | 0.394902i | ||||
\(218\) | −1.25477 | − | 7.11617i | −0.0849840 | − | 0.481968i | ||||
\(219\) | −0.724124 | − | 20.6974i | −0.0489318 | − | 1.39860i | ||||
\(220\) | −3.50564 | + | 8.27099i | −0.236350 | + | 0.557630i | ||||
\(221\) | 1.45027 | + | 2.51194i | 0.0975557 | + | 0.168971i | ||||
\(222\) | 4.18731 | − | 2.61690i | 0.281034 | − | 0.175635i | ||||
\(223\) | −16.6715 | + | 6.06793i | −1.11641 | + | 0.406339i | −0.833339 | − | 0.552762i | \(-0.813574\pi\) |
−0.283067 | + | 0.959100i | \(0.591352\pi\) | |||||||
\(224\) | −3.63280 | − | 1.32223i | −0.242727 | − | 0.0883453i | ||||
\(225\) | 11.1592 | + | 10.0236i | 0.743944 | + | 0.668242i | ||||
\(226\) | −0.750910 | + | 4.25862i | −0.0499498 | + | 0.283279i | ||||
\(227\) | − | 8.60714i | − | 0.571276i | −0.958338 | − | 0.285638i | \(-0.907795\pi\) | ||
0.958338 | − | 0.285638i | \(-0.0922054\pi\) | |||||||
\(228\) | −3.74804 | + | 6.55379i | −0.248220 | + | 0.434035i | ||||
\(229\) | −0.547836 | −0.0362020 | −0.0181010 | − | 0.999836i | \(-0.505762\pi\) | ||||
−0.0181010 | + | 0.999836i | \(0.505762\pi\) | |||||||
\(230\) | −0.841486 | + | 16.2216i | −0.0554860 | + | 1.06962i | ||||
\(231\) | −19.9900 | + | 18.0015i | −1.31525 | + | 1.18441i | ||||
\(232\) | −2.14206 | + | 5.88526i | −0.140633 | + | 0.386387i | ||||
\(233\) | 1.52812 | − | 0.556189i | 0.100110 | − | 0.0364371i | −0.291479 | − | 0.956577i | \(-0.594147\pi\) |
0.391590 | + | 0.920140i | \(0.371925\pi\) | |||||||
\(234\) | 1.08587 | + | 2.43804i | 0.0709853 | + | 0.159379i | ||||
\(235\) | 15.4301 | − | 11.6403i | 1.00655 | − | 0.759328i | ||||
\(236\) | 0.0231373 | − | 0.0400751i | 0.00150611 | − | 0.00260866i | ||||
\(237\) | −0.734459 | − | 20.9927i | −0.0477082 | − | 1.36363i | ||||
\(238\) | −2.18872 | − | 12.4129i | −0.141874 | − | 0.804606i | ||||
\(239\) | −7.05910 | − | 4.07557i | −0.456615 | − | 0.263627i | 0.254005 | − | 0.967203i | \(-0.418252\pi\) |
−0.710620 | + | 0.703576i | \(0.751585\pi\) | |||||||
\(240\) | −1.87968 | − | 3.38627i | −0.121333 | − | 0.218582i | ||||
\(241\) | −12.5315 | − | 14.9345i | −0.807225 | − | 0.962013i | 0.192589 | − | 0.981279i | \(-0.438311\pi\) |
−0.999814 | + | 0.0192662i | \(0.993867\pi\) | |||||||
\(242\) | −1.75790 | − | 4.82979i | −0.113002 | − | 0.310471i | ||||
\(243\) | −13.4974 | + | 7.79865i | −0.865862 | + | 0.500283i | ||||
\(244\) | −2.11981 | − | 1.77873i | −0.135707 | − | 0.113872i | ||||
\(245\) | −17.7429 | − | 0.920403i | −1.13355 | − | 0.0588024i | ||||
\(246\) | −9.94082 | − | 1.39643i | −0.633803 | − | 0.0890329i | ||||
\(247\) | −0.790921 | + | 3.79634i | −0.0503251 | + | 0.241555i | ||||
\(248\) | −1.73753 | −0.110333 | ||||||||
\(249\) | 4.96343 | + | 1.61236i | 0.314544 | + | 0.102179i | ||||
\(250\) | −10.5770 | − | 3.62309i | −0.668949 | − | 0.229144i | ||||
\(251\) | 0.846815 | − | 2.32661i | 0.0534505 | − | 0.146854i | −0.910094 | − | 0.414401i | \(-0.863991\pi\) |
0.963545 | + | 0.267547i | \(0.0862132\pi\) | |||||||
\(252\) | −0.810539 | − | 11.5695i | −0.0510592 | − | 0.728809i | ||||
\(253\) | −18.7590 | − | 22.3561i | −1.17937 | − | 1.40551i | ||||
\(254\) | −2.80181 | + | 1.61763i | −0.175801 | + | 0.101499i | ||||
\(255\) | 6.49707 | − | 10.8276i | 0.406862 | − | 0.678049i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −8.22024 | + | 1.44945i | −0.512764 | + | 0.0904142i | −0.424043 | − | 0.905642i | \(-0.639389\pi\) |
−0.0887217 | + | 0.996056i | \(0.528278\pi\) | |||||||
\(258\) | 3.27209 | + | 2.55609i | 0.203711 | + | 0.159135i | ||||
\(259\) | −9.54462 | + | 5.51059i | −0.593074 | + | 0.342411i | ||||
\(260\) | −1.45560 | − | 1.35592i | −0.0902725 | − | 0.0840907i | ||||
\(261\) | −18.7430 | + | 1.31310i | −1.16016 | + | 0.0812789i | ||||
\(262\) | −7.35925 | − | 2.67855i | −0.454656 | − | 0.165481i | ||||
\(263\) | 0.755363 | + | 0.633825i | 0.0465777 | + | 0.0390833i | 0.665779 | − | 0.746149i | \(-0.268099\pi\) |
−0.619202 | + | 0.785232i | \(0.712544\pi\) | |||||||
\(264\) | 6.61797 | + | 2.14983i | 0.407308 | + | 0.132313i | ||||
\(265\) | −25.1947 | + | 3.10712i | −1.54770 | + | 0.190869i | ||||
\(266\) | 8.87201 | − | 14.3266i | 0.543978 | − | 0.878423i | ||||
\(267\) | 2.04613 | − | 14.5659i | 0.125221 | − | 0.891418i | ||||
\(268\) | 0.646399 | − | 3.66591i | 0.0394851 | − | 0.223931i | ||||
\(269\) | −18.0932 | − | 15.1820i | −1.10316 | − | 0.925661i | −0.105527 | − | 0.994416i | \(-0.533653\pi\) |
−0.997634 | + | 0.0687551i | \(0.978097\pi\) | |||||||
\(270\) | 6.98570 | − | 9.28440i | 0.425136 | − | 0.565030i | ||||
\(271\) | 27.8483 | − | 10.1359i | 1.69166 | − | 0.615714i | 0.696828 | − | 0.717238i | \(-0.254594\pi\) |
0.994833 | + | 0.101523i | \(0.0323717\pi\) | |||||||
\(272\) | −2.49757 | + | 2.09571i | −0.151438 | + | 0.127071i | ||||
\(273\) | −2.23191 | − | 5.52313i | −0.135081 | − | 0.334275i | ||||
\(274\) | −8.28792 | − | 4.78503i | −0.500692 | − | 0.289074i | ||||
\(275\) | 18.3418 | − | 8.18970i | 1.10605 | − | 0.493858i | ||||
\(276\) | 12.5744 | − | 0.439933i | 0.756891 | − | 0.0264808i | ||||
\(277\) | 9.66682 | + | 5.58114i | 0.580823 | + | 0.335338i | 0.761460 | − | 0.648212i | \(-0.224483\pi\) |
−0.180638 | + | 0.983550i | \(0.557816\pi\) | |||||||
\(278\) | −18.9061 | + | 10.9154i | −1.13391 | + | 0.654664i | ||||
\(279\) | −2.12078 | − | 4.76166i | −0.126967 | − | 0.285073i | ||||
\(280\) | 3.92863 | + | 7.70024i | 0.234780 | + | 0.460177i | ||||
\(281\) | −18.5627 | − | 6.75629i | −1.10736 | − | 0.403046i | −0.277336 | − | 0.960773i | \(-0.589452\pi\) |
−0.830025 | + | 0.557727i | \(0.811674\pi\) | |||||||
\(282\) | −10.0187 | − | 11.1254i | −0.596606 | − | 0.662510i | ||||
\(283\) | 3.30932 | + | 0.583522i | 0.196719 | + | 0.0346868i | 0.271139 | − | 0.962540i | \(-0.412600\pi\) |
−0.0744206 | + | 0.997227i | \(0.523711\pi\) | |||||||
\(284\) | −12.7189 | −0.754725 | ||||||||
\(285\) | 16.1212 | − | 5.01061i | 0.954939 | − | 0.296803i | ||||
\(286\) | 3.57407 | 0.211339 | ||||||||
\(287\) | 22.0654 | + | 3.89073i | 1.30248 | + | 0.229662i | ||||
\(288\) | −2.48689 | + | 1.67790i | −0.146542 | + | 0.0988715i | ||||
\(289\) | 5.98594 | + | 2.17871i | 0.352114 | + | 0.128159i | ||||
\(290\) | 12.4746 | − | 6.36451i | 0.732536 | − | 0.373737i | ||||
\(291\) | 12.6400 | + | 20.2253i | 0.740971 | + | 1.18563i | ||||
\(292\) | 10.3550 | − | 5.97847i | 0.605981 | − | 0.349863i | ||||
\(293\) | 17.0365 | + | 9.83605i | 0.995286 | + | 0.574628i | 0.906850 | − | 0.421453i | \(-0.138480\pi\) |
0.0884356 | + | 0.996082i | \(0.471813\pi\) | |||||||
\(294\) | 0.481191 | + | 13.7537i | 0.0280636 | + | 0.802131i | ||||
\(295\) | −0.0989359 | + | 0.0303053i | −0.00576027 | + | 0.00176444i | ||||
\(296\) | 2.46890 | + | 1.42542i | 0.143502 | + | 0.0828507i | ||||
\(297\) | 2.18613 | + | 20.7604i | 0.126852 | + | 1.20464i | ||||
\(298\) | 15.1960 | − | 12.7509i | 0.880280 | − | 0.738642i | ||||
\(299\) | 6.07286 | − | 2.21034i | 0.351202 | − | 0.127827i | ||||
\(300\) | −2.08561 | + | 8.40537i | −0.120413 | + | 0.485284i | ||||
\(301\) | −7.09937 | − | 5.95708i | −0.409201 | − | 0.343360i | ||||
\(302\) | 1.14199 | − | 6.47654i | 0.0657141 | − | 0.372683i | ||||
\(303\) | 28.4532 | + | 3.99694i | 1.63459 | + | 0.229618i | ||||
\(304\) | −4.35682 | − | 0.134524i | −0.249881 | − | 0.00771551i | ||||
\(305\) | 0.757356 | + | 6.14116i | 0.0433661 | + | 0.351642i | ||||
\(306\) | −8.79171 | − | 4.28658i | −0.502589 | − | 0.245048i | ||||
\(307\) | −21.0299 | − | 17.6462i | −1.20024 | − | 1.00712i | −0.999623 | − | 0.0274503i | \(-0.991261\pi\) |
−0.200616 | − | 0.979670i | \(-0.564294\pi\) | |||||||
\(308\) | −14.5945 | − | 5.31198i | −0.831601 | − | 0.302678i | ||||
\(309\) | −2.57772 | − | 12.1233i | −0.146642 | − | 0.689672i | ||||
\(310\) | 2.84289 | + | 2.64821i | 0.161465 | + | 0.150408i | ||||
\(311\) | −12.0317 | + | 6.94649i | −0.682254 | + | 0.393899i | −0.800704 | − | 0.599061i | \(-0.795541\pi\) |
0.118450 | + | 0.992960i | \(0.462207\pi\) | |||||||
\(312\) | −0.948594 | + | 1.21431i | −0.0537036 | + | 0.0687467i | ||||
\(313\) | −2.56217 | + | 0.451779i | −0.144822 | + | 0.0255361i | −0.245589 | − | 0.969374i | \(-0.578981\pi\) |
0.100767 | + | 0.994910i | \(0.467870\pi\) | |||||||
\(314\) | −3.78665 | − | 21.4751i | −0.213693 | − | 1.21191i | ||||
\(315\) | −16.3072 | + | 20.1650i | −0.918804 | + | 1.13617i | ||||
\(316\) | 10.5028 | − | 6.06379i | 0.590828 | − | 0.341115i | ||||
\(317\) | 10.9483 | + | 13.0477i | 0.614917 | + | 0.732830i | 0.980188 | − | 0.198072i | \(-0.0634679\pi\) |
−0.365270 | + | 0.930901i | \(0.619023\pi\) | |||||||
\(318\) | 4.08954 | + | 19.2336i | 0.229330 | + | 1.07857i | ||||
\(319\) | −8.60558 | + | 23.6436i | −0.481820 | + | 1.32379i | ||||
\(320\) | 1.21685 | − | 1.87597i | 0.0680241 | − | 0.104870i | ||||
\(321\) | 2.49855 | − | 7.69145i | 0.139455 | − | 0.429295i | ||||
\(322\) | −28.0834 | −1.56502 | ||||||||
\(323\) | −6.72255 | − | 12.5210i | −0.374053 | − | 0.696687i | ||||
\(324\) | −7.63368 | − | 4.76727i | −0.424093 | − | 0.264849i | ||||
\(325\) | 0.315012 | + | 4.43703i | 0.0174737 | + | 0.246122i | ||||
\(326\) | −1.98897 | − | 1.66895i | −0.110159 | − | 0.0924344i | ||||
\(327\) | 11.0511 | + | 5.87505i | 0.611128 | + | 0.324891i | ||||
\(328\) | −1.98224 | − | 5.44616i | −0.109451 | − | 0.300714i | ||||
\(329\) | 21.4799 | + | 25.5987i | 1.18423 | + | 1.41130i | ||||
\(330\) | −7.55150 | − | 13.6041i | −0.415696 | − | 0.748880i | ||||
\(331\) | −5.19292 | − | 2.99813i | −0.285429 | − | 0.164792i | 0.350450 | − | 0.936582i | \(-0.386029\pi\) |
−0.635878 | + | 0.771789i | \(0.719362\pi\) | |||||||
\(332\) | 0.523209 | + | 2.96727i | 0.0287148 | + | 0.162850i | ||||
\(333\) | −0.892867 | + | 8.50577i | −0.0489288 | + | 0.466113i | ||||
\(334\) | 10.8278 | − | 18.7543i | 0.592471 | − | 1.02619i | ||||
\(335\) | −6.64492 | + | 5.01285i | −0.363051 | + | 0.273881i | ||||
\(336\) | 5.67831 | − | 3.54872i | 0.309777 | − | 0.193599i | ||||
\(337\) | −21.6519 | + | 7.88064i | −1.17945 | + | 0.429286i | −0.856009 | − | 0.516962i | \(-0.827063\pi\) |
−0.323444 | + | 0.946247i | \(0.604841\pi\) | |||||||
\(338\) | 4.17557 | − | 11.4723i | 0.227121 | − | 0.624010i | ||||
\(339\) | −5.01211 | − | 5.56578i | −0.272221 | − | 0.302292i | ||||
\(340\) | 7.28058 | + | 0.377675i | 0.394845 | + | 0.0204823i | ||||
\(341\) | −6.98041 | −0.378010 | ||||||||
\(342\) | −4.94914 | − | 12.1040i | −0.267619 | − | 0.654508i | ||||
\(343\) | − | 3.65545i | − | 0.197376i | ||||||
\(344\) | −0.416275 | + | 2.36081i | −0.0224440 | + | 0.127286i | ||||
\(345\) | −21.2444 | − | 18.4452i | −1.14376 | − | 0.993055i | ||||
\(346\) | −5.84561 | − | 2.12763i | −0.314262 | − | 0.114382i | ||||
\(347\) | 11.2327 | − | 4.08837i | 0.603004 | − | 0.219475i | −0.0224354 | − | 0.999748i | \(-0.507142\pi\) |
0.625439 | + | 0.780273i | \(0.284920\pi\) | |||||||
\(348\) | −5.74905 | − | 9.19906i | −0.308181 | − | 0.493121i | ||||
\(349\) | 11.1495 | + | 19.3114i | 0.596817 | + | 1.03372i | 0.993288 | + | 0.115670i | \(0.0369016\pi\) |
−0.396470 | + | 0.918048i | \(0.629765\pi\) | |||||||
\(350\) | 5.30822 | − | 18.5866i | 0.283737 | − | 0.993495i | ||||
\(351\) | −4.48561 | − | 1.11745i | −0.239424 | − | 0.0596452i | ||||
\(352\) | 0.697620 | + | 3.95640i | 0.0371833 | + | 0.210877i | ||||
\(353\) | 14.0071 | − | 24.2610i | 0.745523 | − | 1.29128i | −0.204427 | − | 0.978882i | \(-0.565533\pi\) |
0.949950 | − | 0.312402i | \(-0.101134\pi\) | |||||||
\(354\) | 0.0300296 | + | 0.0743119i | 0.00159606 | + | 0.00394963i | ||||
\(355\) | 20.8102 | + | 19.3851i | 1.10449 | + | 1.02886i | ||||
\(356\) | 7.98005 | − | 2.90450i | 0.422942 | − | 0.153938i | ||||
\(357\) | 19.2766 | + | 10.2479i | 1.02023 | + | 0.542379i | ||||
\(358\) | −4.70302 | + | 5.60484i | −0.248562 | + | 0.296225i | ||||
\(359\) | −17.4683 | − | 3.08014i | −0.921943 | − | 0.162563i | −0.307521 | − | 0.951541i | \(-0.599500\pi\) |
−0.614422 | + | 0.788978i | \(0.710611\pi\) | |||||||
\(360\) | 6.62631 | + | 1.04500i | 0.349237 | + | 0.0550764i | ||||
\(361\) | 4.44742 | − | 18.4722i | 0.234075 | − | 0.972219i | ||||
\(362\) | 11.5254 | 0.605762 | ||||||||
\(363\) | 8.46679 | + | 2.75041i | 0.444391 | + | 0.144359i | ||||
\(364\) | 2.21074 | − | 2.63466i | 0.115874 | − | 0.138094i | ||||
\(365\) | −26.0545 | − | 6.00055i | −1.36375 | − | 0.314083i | ||||
\(366\) | 4.68816 | − | 0.996819i | 0.245054 | − | 0.0521046i | ||||
\(367\) | 0.560061 | + | 0.667455i | 0.0292350 | + | 0.0348409i | 0.780464 | − | 0.625201i | \(-0.214983\pi\) |
−0.751229 | + | 0.660042i | \(0.770539\pi\) | |||||||
\(368\) | 3.63214 | + | 6.29106i | 0.189339 | + | 0.327944i | ||||
\(369\) | 12.5056 | − | 12.0797i | 0.651016 | − | 0.628844i | ||||
\(370\) | −1.86701 | − | 6.09513i | −0.0970614 | − | 0.316871i | ||||
\(371\) | −7.62128 | − | 43.2224i | −0.395677 | − | 2.24400i | ||||
\(372\) | 1.85267 | − | 2.37163i | 0.0960566 | − | 0.122963i | ||||
\(373\) | 7.46389 | + | 12.9278i | 0.386466 | + | 0.669378i | 0.991971 | − | 0.126463i | \(-0.0403624\pi\) |
−0.605506 | + | 0.795841i | \(0.707029\pi\) | |||||||
\(374\) | −10.0338 | + | 8.41939i | −0.518837 | + | 0.435356i | ||||
\(375\) | 16.2232 | − | 10.5739i | 0.837764 | − | 0.546032i | ||||
\(376\) | 2.95638 | − | 8.12259i | 0.152464 | − | 0.418891i | ||||
\(377\) | −4.26823 | − | 3.58147i | −0.219825 | − | 0.184455i | ||||
\(378\) | 16.6560 | + | 11.2298i | 0.856690 | + | 0.577600i | ||||
\(379\) | 15.9056i | 0.817015i | 0.912755 | + | 0.408507i | \(0.133951\pi\) | ||||
−0.912755 | + | 0.408507i | \(0.866049\pi\) | |||||||
\(380\) | 6.92346 | + | 6.86044i | 0.355166 | + | 0.351933i | ||||
\(381\) | 0.779510 | − | 5.54914i | 0.0399355 | − | 0.284291i | ||||
\(382\) | −4.07578 | + | 23.1149i | −0.208535 | + | 1.18266i | ||||
\(383\) | 20.0560 | − | 23.9018i | 1.02482 | − | 1.22133i | 0.0498995 | − | 0.998754i | \(-0.484110\pi\) |
0.974916 | − | 0.222573i | \(-0.0714456\pi\) | |||||||
\(384\) | −1.52936 | − | 0.813048i | −0.0780450 | − | 0.0414907i | ||||
\(385\) | 15.7830 | + | 30.9352i | 0.804376 | + | 1.57660i | ||||
\(386\) | −14.0855 | − | 16.7865i | −0.716934 | − | 0.854409i | ||||
\(387\) | −6.97784 | + | 1.74074i | −0.354703 | + | 0.0884868i | ||||
\(388\) | −6.88497 | + | 11.9251i | −0.349531 | + | 0.605406i | ||||
\(389\) | 4.85075 | − | 0.855317i | 0.245943 | − | 0.0433663i | −0.0493178 | − | 0.998783i | \(-0.515705\pi\) |
0.295260 | + | 0.955417i | \(0.404594\pi\) | |||||||
\(390\) | 3.40282 | − | 0.541038i | 0.172308 | − | 0.0273965i | ||||
\(391\) | −11.8421 | + | 20.5111i | −0.598879 | + | 1.03729i | ||||
\(392\) | −6.88105 | + | 3.97278i | −0.347545 | + | 0.200655i | ||||
\(393\) | 11.5030 | − | 7.18892i | 0.580250 | − | 0.362633i | ||||
\(394\) | −4.14982 | − | 11.4015i | −0.209065 | − | 0.574401i | ||||
\(395\) | −26.4263 | − | 6.08619i | −1.32965 | − | 0.306229i | ||||
\(396\) | −9.99092 | + | 6.74087i | −0.502063 | + | 0.338741i | ||||
\(397\) | −30.3973 | − | 5.35986i | −1.52560 | − | 0.269004i | −0.652966 | − | 0.757387i | \(-0.726476\pi\) |
−0.872629 | + | 0.488383i | \(0.837587\pi\) | |||||||
\(398\) | 9.32432i | 0.467386i | ||||||||
\(399\) | 10.0951 | + | 27.3858i | 0.505389 | + | 1.37101i | ||||
\(400\) | −4.85019 | + | 1.21477i | −0.242509 | + | 0.0607385i | ||||
\(401\) | −5.52383 | + | 31.3272i | −0.275847 | + | 1.56441i | 0.460411 | + | 0.887706i | \(0.347702\pi\) |
−0.736258 | + | 0.676701i | \(0.763409\pi\) | |||||||
\(402\) | 4.31453 | + | 4.79114i | 0.215189 | + | 0.238960i | ||||
\(403\) | 0.528686 | − | 1.45255i | 0.0263358 | − | 0.0723569i | ||||
\(404\) | 5.67369 | + | 15.5883i | 0.282277 | + | 0.775549i | ||||
\(405\) | 5.22406 | + | 19.4347i | 0.259586 | + | 0.965720i | ||||
\(406\) | 12.1062 | + | 20.9685i | 0.600818 | + | 1.04065i | ||||
\(407\) | 9.91862 | + | 5.72652i | 0.491648 | + | 0.283853i | ||||
\(408\) | −0.197450 | − | 5.64364i | −0.00977524 | − | 0.279402i | ||||
\(409\) | 22.7535 | − | 4.01205i | 1.12509 | − | 0.198383i | 0.420014 | − | 0.907518i | \(-0.362025\pi\) |
0.705073 | + | 0.709135i | \(0.250914\pi\) | |||||||
\(410\) | −5.05735 | + | 11.9320i | −0.249765 | + | 0.589280i | ||||
\(411\) | 15.3684 | − | 6.21043i | 0.758070 | − | 0.306338i | ||||
\(412\) | 5.48172 | − | 4.59971i | 0.270065 | − | 0.226611i | ||||
\(413\) | −0.0611859 | − | 0.168107i | −0.00301076 | − | 0.00827199i | ||||
\(414\) | −12.8072 | + | 17.6325i | −0.629440 | + | 0.866589i | ||||
\(415\) | 3.66643 | − | 5.65238i | 0.179978 | − | 0.277465i | ||||
\(416\) | −0.876124 | − | 0.154484i | −0.0429555 | − | 0.00757422i | ||||
\(417\) | 5.25999 | − | 37.4445i | 0.257583 | − | 1.83367i | ||||
\(418\) | −17.5032 | − | 0.540443i | −0.856111 | − | 0.0264339i | ||||
\(419\) | 19.6488i | 0.959909i | 0.877293 | + | 0.479954i | \(0.159347\pi\) | ||||
−0.877293 | + | 0.479954i | \(0.840653\pi\) | |||||||
\(420\) | −14.6994 | − | 2.84815i | −0.717256 | − | 0.138976i | ||||
\(421\) | −7.30361 | + | 8.70410i | −0.355956 | + | 0.424212i | −0.914073 | − | 0.405551i | \(-0.867080\pi\) |
0.558117 | + | 0.829763i | \(0.311524\pi\) | |||||||
\(422\) | 11.3959 | + | 4.14777i | 0.554743 | + | 0.201910i | ||||
\(423\) | 25.8682 | − | 1.81229i | 1.25776 | − | 0.0881164i | ||||
\(424\) | −8.69672 | + | 7.29742i | −0.422350 | + | 0.354394i | ||||
\(425\) | −11.3366 | − | 11.7144i | −0.549907 | − | 0.568234i | ||||
\(426\) | 13.5617 | − | 17.3605i | 0.657067 | − | 0.841121i | ||||
\(427\) | −10.5354 | + | 1.85767i | −0.509843 | + | 0.0898991i | ||||
\(428\) | 4.59815 | − | 0.810778i | 0.222260 | − | 0.0391904i | ||||
\(429\) | −3.81091 | + | 4.87840i | −0.183993 | + | 0.235532i | ||||
\(430\) | 4.27926 | − | 3.22823i | 0.206364 | − | 0.155679i | ||||
\(431\) | 10.7509 | − | 9.02106i | 0.517852 | − | 0.434529i | −0.346030 | − | 0.938223i | \(-0.612471\pi\) |
0.863882 | + | 0.503694i | \(0.168026\pi\) | |||||||
\(432\) | 0.361447 | − | 5.18357i | 0.0173901 | − | 0.249394i | ||||
\(433\) | −5.13986 | − | 1.87075i | −0.247006 | − | 0.0899027i | 0.215550 | − | 0.976493i | \(-0.430845\pi\) |
−0.462556 | + | 0.886590i | \(0.653068\pi\) | |||||||
\(434\) | −4.31773 | + | 5.14567i | −0.207258 | + | 0.247000i | ||||
\(435\) | −4.61411 | + | 23.8135i | −0.221229 | + | 1.14177i | ||||
\(436\) | 7.22595i | 0.346060i | ||||||||
\(437\) | −30.0748 | + | 9.90638i | −1.43867 | + | 0.473886i | ||||
\(438\) | −2.88094 | + | 20.5087i | −0.137656 | + | 0.979942i | ||||
\(439\) | −26.6777 | − | 4.70400i | −1.27326 | − | 0.224510i | −0.504143 | − | 0.863620i | \(-0.668191\pi\) |
−0.769115 | + | 0.639111i | \(0.779303\pi\) | |||||||
\(440\) | 4.88862 | − | 7.53659i | 0.233056 | − | 0.359293i | ||||
\(441\) | −19.2861 | − | 14.0083i | −0.918385 | − | 0.667062i | ||||
\(442\) | −0.992042 | − | 2.72561i | −0.0471866 | − | 0.129644i | ||||
\(443\) | −29.7600 | + | 24.9716i | −1.41394 | + | 1.18644i | −0.459448 | + | 0.888205i | \(0.651953\pi\) |
−0.954493 | + | 0.298232i | \(0.903603\pi\) | |||||||
\(444\) | −4.57812 | + | 1.85003i | −0.217268 | + | 0.0877985i | ||||
\(445\) | −17.4835 | − | 7.41034i | −0.828798 | − | 0.351284i | ||||
\(446\) | 17.4719 | − | 3.08077i | 0.827319 | − | 0.145879i | ||||
\(447\) | 1.20135 | + | 34.3376i | 0.0568217 | + | 1.62411i | ||||
\(448\) | 3.34801 | + | 1.93297i | 0.158179 | + | 0.0913244i | ||||
\(449\) | 8.43082 | + | 14.6026i | 0.397875 | + | 0.689140i | 0.993464 | − | 0.114150i | \(-0.0364145\pi\) |
−0.595589 | + | 0.803290i | \(0.703081\pi\) | |||||||
\(450\) | −9.24904 | − | 11.8091i | −0.436004 | − | 0.556687i | ||||
\(451\) | −7.96352 | − | 21.8796i | −0.374987 | − | 1.03027i | ||||
\(452\) | 1.47900 | − | 4.06353i | 0.0695665 | − | 0.191132i | ||||
\(453\) | 7.62246 | + | 8.46448i | 0.358134 | + | 0.397696i | ||||
\(454\) | −1.49461 | + | 8.47638i | −0.0701457 | + | 0.397816i | ||||
\(455\) | −7.63269 | + | 0.941298i | −0.357826 | + | 0.0441287i | ||||
\(456\) | 4.82916 | − | 5.80338i | 0.226146 | − | 0.271768i | ||||
\(457\) | 0.862202i | 0.0403321i | 0.999797 | + | 0.0201661i | \(0.00641949\pi\) | ||||
−0.999797 | + | 0.0201661i | \(0.993581\pi\) | |||||||
\(458\) | 0.539513 | + | 0.0951308i | 0.0252098 | + | 0.00444517i | ||||
\(459\) | 15.2253 | − | 7.42956i | 0.710655 | − | 0.346782i | ||||
\(460\) | 3.64556 | − | 15.8291i | 0.169975 | − | 0.738034i | ||||
\(461\) | 4.22524 | + | 11.6088i | 0.196789 | + | 0.540674i | 0.998361 | − | 0.0572241i | \(-0.0182249\pi\) |
−0.801572 | + | 0.597898i | \(0.796003\pi\) | |||||||
\(462\) | 22.8122 | − | 14.2567i | 1.06132 | − | 0.663284i | ||||
\(463\) | −30.4784 | + | 17.5967i | −1.41645 | + | 0.817789i | −0.995985 | − | 0.0895191i | \(-0.971467\pi\) |
−0.420467 | + | 0.907308i | \(0.638134\pi\) | |||||||
\(464\) | 3.13148 | − | 5.42389i | 0.145375 | − | 0.251798i | ||||
\(465\) | −6.64595 | + | 1.05669i | −0.308198 | + | 0.0490026i | ||||
\(466\) | −1.60148 | + | 0.282385i | −0.0741872 | + | 0.0130812i | ||||
\(467\) | 3.50646 | − | 6.07337i | 0.162260 | − | 0.281042i | −0.773419 | − | 0.633895i | \(-0.781455\pi\) |
0.935679 | + | 0.352853i | \(0.114788\pi\) | |||||||
\(468\) | −0.646009 | − | 2.58956i | −0.0298618 | − | 0.119702i | ||||
\(469\) | −9.25026 | − | 11.0240i | −0.427137 | − | 0.509042i | ||||
\(470\) | −17.2170 | + | 8.78403i | −0.794160 | + | 0.405177i | ||||
\(471\) | 33.3499 | + | 17.7297i | 1.53668 | + | 0.816941i | ||||
\(472\) | −0.0297448 | + | 0.0354485i | −0.00136912 | + | 0.00163165i | ||||
\(473\) | −1.67235 | + | 9.48440i | −0.0768950 | + | 0.436093i | ||||
\(474\) | −2.92205 | + | 20.8014i | −0.134214 | + | 0.955438i | ||||
\(475\) | −0.871771 | − | 21.7771i | −0.0399996 | − | 0.999200i | ||||
\(476\) | 12.6043i | 0.577719i | ||||||||
\(477\) | −30.6133 | − | 14.9262i | −1.40169 | − | 0.683422i | ||||
\(478\) | 6.24414 | + | 5.23946i | 0.285600 | + | 0.239647i | ||||
\(479\) | 12.2466 | − | 33.6473i | 0.559561 | − | 1.53738i | −0.260715 | − | 0.965416i | \(-0.583958\pi\) |
0.820277 | − | 0.571967i | \(-0.193819\pi\) | |||||||
\(480\) | 1.26311 | + | 3.66122i | 0.0576527 | + | 0.167111i | ||||
\(481\) | −1.94285 | + | 1.63025i | −0.0885865 | + | 0.0743329i | ||||
\(482\) | 9.74778 | + | 16.8836i | 0.443999 | + | 0.769029i | ||||
\(483\) | 29.9444 | − | 38.3322i | 1.36252 | − | 1.74418i | ||||
\(484\) | 0.892510 | + | 5.06167i | 0.0405686 | + | 0.230076i | ||||
\(485\) | 29.4403 | − | 9.01794i | 1.33682 | − | 0.409483i | ||||
\(486\) | 14.6466 | − | 5.33636i | 0.664384 | − | 0.242062i | ||||
\(487\) | 2.83150 | + | 4.90431i | 0.128308 | + | 0.222235i | 0.923021 | − | 0.384749i | \(-0.125712\pi\) |
−0.794713 | + | 0.606985i | \(0.792379\pi\) | |||||||
\(488\) | 1.77873 | + | 2.11981i | 0.0805194 | + | 0.0959593i | ||||
\(489\) | 4.39880 | − | 0.935294i | 0.198920 | − | 0.0422955i | ||||
\(490\) | 17.3136 | + | 3.98745i | 0.782147 | + | 0.180135i | ||||
\(491\) | −21.5559 | + | 25.6893i | −0.972803 | + | 1.15934i | 0.0144039 | + | 0.999896i | \(0.495415\pi\) |
−0.987207 | + | 0.159445i | \(0.949030\pi\) | |||||||
\(492\) | 9.54731 | + | 3.10142i | 0.430426 | + | 0.139823i | ||||
\(493\) | 20.4195 | 0.919647 | ||||||||
\(494\) | 1.43813 | − | 3.60132i | 0.0647046 | − | 0.162031i | ||||
\(495\) | 26.6207 | + | 4.19822i | 1.19651 | + | 0.188696i | ||||
\(496\) | 1.71113 | + | 0.301719i | 0.0768322 | + | 0.0135476i | ||||
\(497\) | −31.6062 | + | 37.6667i | −1.41773 | + | 1.68958i | ||||
\(498\) | −4.60804 | − | 2.44975i | −0.206491 | − | 0.109776i | ||||
\(499\) | −33.5611 | + | 12.2152i | −1.50240 | + | 0.546829i | −0.956680 | − | 0.291140i | \(-0.905965\pi\) |
−0.545719 | + | 0.837969i | \(0.683743\pi\) | |||||||
\(500\) | 9.78718 | + | 5.40472i | 0.437696 | + | 0.241707i | ||||
\(501\) | 14.0532 | + | 34.7765i | 0.627853 | + | 1.55370i | ||||
\(502\) | −1.23796 | + | 2.14421i | −0.0552529 | + | 0.0957008i | ||||
\(503\) | 0.814068 | + | 4.61681i | 0.0362975 | + | 0.205853i | 0.997563 | − | 0.0697704i | \(-0.0222267\pi\) |
−0.961266 | + | 0.275624i | \(0.911116\pi\) | |||||||
\(504\) | −1.21079 | + | 11.5345i | −0.0539331 | + | 0.513786i | ||||
\(505\) | 14.4755 | − | 34.1525i | 0.644149 | − | 1.51977i | ||||
\(506\) | 14.5919 | + | 25.2739i | 0.648689 | + | 1.12356i | ||||
\(507\) | 11.2067 | + | 17.9319i | 0.497709 | + | 0.796385i | ||||
\(508\) | 3.04014 | − | 1.10652i | 0.134885 | − | 0.0490940i | ||||
\(509\) | −11.5642 | − | 4.20904i | −0.512576 | − | 0.186563i | 0.0727656 | − | 0.997349i | \(-0.476817\pi\) |
−0.585342 | + | 0.810787i | \(0.699040\pi\) | |||||||
\(510\) | −8.27855 | + | 9.53488i | −0.366580 | + | 0.422212i | ||||
\(511\) | 8.02687 | − | 45.5226i | 0.355088 | − | 2.01380i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 21.7984 | + | 6.15077i | 0.962421 | + | 0.271563i | ||||
\(514\) | 8.34705 | 0.368172 | ||||||||
\(515\) | −15.9795 | − | 0.828928i | −0.704143 | − | 0.0365269i | ||||
\(516\) | −2.77852 | − | 3.08545i | −0.122317 | − | 0.135829i | ||||
\(517\) | 11.8771 | − | 32.6320i | 0.522353 | − | 1.43515i | ||||
\(518\) | 10.3565 | − | 3.76947i | 0.455039 | − | 0.165621i | ||||
\(519\) | 9.13709 | − | 5.71032i | 0.401074 | − | 0.250655i | ||||
\(520\) | 1.19803 | + | 1.58808i | 0.0525372 | + | 0.0696421i | ||||
\(521\) | 2.61622 | − | 4.53143i | 0.114619 | − | 0.198526i | −0.803009 | − | 0.595968i | \(-0.796769\pi\) |
0.917627 | + | 0.397442i | \(0.130102\pi\) | |||||||
\(522\) | 18.6862 | + | 1.96153i | 0.817874 | + | 0.0858538i | ||||
\(523\) | −6.20970 | − | 35.2170i | −0.271531 | − | 1.53993i | −0.749769 | − | 0.661700i | \(-0.769835\pi\) |
0.478237 | − | 0.878231i | \(-0.341276\pi\) | |||||||
\(524\) | 6.78232 | + | 3.91578i | 0.296287 | + | 0.171061i | ||||
\(525\) | 19.7097 | + | 27.0637i | 0.860201 | + | 1.18116i | ||||
\(526\) | −0.633825 | − | 0.755363i | −0.0276361 | − | 0.0329354i | ||||
\(527\) | 1.93753 | + | 5.32332i | 0.0844001 | + | 0.231887i | ||||
\(528\) | −6.14411 | − | 3.26637i | −0.267388 | − | 0.142150i | ||||
\(529\) | 22.8051 | + | 19.1357i | 0.991525 | + | 0.831988i | ||||
\(530\) | 25.3515 | + | 1.31509i | 1.10120 | + | 0.0571238i | ||||
\(531\) | −0.133451 | − | 0.0382476i | −0.00579129 | − | 0.00165981i | ||||
\(532\) | −11.2250 | + | 12.5684i | −0.486666 | + | 0.544909i | ||||
\(533\) | 5.15607 | 0.223334 | ||||||||
\(534\) | −4.54439 | + | 13.9893i | −0.196655 | + | 0.605376i | ||||
\(535\) | −8.75907 | − | 5.68159i | −0.378688 | − | 0.245636i | ||||
\(536\) | −1.27316 | + | 3.49797i | −0.0549920 | + | 0.151089i | ||||
\(537\) | −2.63562 | − | 12.3956i | −0.113735 | − | 0.534910i | ||||
\(538\) | 15.1820 | + | 18.0932i | 0.654541 | + | 0.780052i | ||||
\(539\) | −27.6441 | + | 15.9604i | −1.19072 | + | 0.687461i | ||||
\(540\) | −8.49179 | + | 7.93029i | −0.365428 | + | 0.341265i | ||||
\(541\) | 6.50100 | + | 36.8690i | 0.279500 | + | 1.58512i | 0.724296 | + | 0.689489i | \(0.242165\pi\) |
−0.444796 | + | 0.895632i | \(0.646724\pi\) | |||||||
\(542\) | −29.1853 | + | 5.14615i | −1.25361 | + | 0.221046i | ||||
\(543\) | −12.2892 | + | 15.7316i | −0.527379 | + | 0.675106i | ||||
\(544\) | 2.82355 | − | 1.63018i | 0.121059 | − | 0.0698932i | ||||
\(545\) | 11.0133 | − | 11.8229i | 0.471756 | − | 0.506436i | ||||
\(546\) | 1.23892 | + | 5.82679i | 0.0530209 | + | 0.249363i | ||||
\(547\) | 2.66159 | + | 0.968739i | 0.113801 | + | 0.0414203i | 0.398293 | − | 0.917258i | \(-0.369603\pi\) |
−0.284492 | + | 0.958678i | \(0.591825\pi\) | |||||||
\(548\) | 7.33110 | + | 6.15152i | 0.313169 | + | 0.262780i | ||||
\(549\) | −3.63823 | + | 7.46195i | −0.155276 | + | 0.318468i | ||||
\(550\) | −19.4853 | + | 4.88026i | −0.830856 | + | 0.208095i | ||||
\(551\) | 20.3612 | + | 18.1849i | 0.867417 | + | 0.774704i | ||||
\(552\) | −12.4598 | − | 1.75028i | −0.530324 | − | 0.0744967i | ||||
\(553\) | 8.14143 | − | 46.1723i | 0.346209 | − | 1.96345i | ||||
\(554\) | −8.55080 | − | 7.17497i | −0.363289 | − | 0.304835i | ||||
\(555\) | 10.3102 | + | 3.95067i | 0.437646 | + | 0.167696i | ||||
\(556\) | 20.5143 | − | 7.46660i | 0.870001 | − | 0.316654i | ||||
\(557\) | 5.13324 | − | 4.30730i | 0.217502 | − | 0.182506i | −0.527526 | − | 0.849539i | \(-0.676880\pi\) |
0.745028 | + | 0.667033i | \(0.232436\pi\) | |||||||
\(558\) | 1.26170 | + | 5.05759i | 0.0534121 | + | 0.214105i | ||||
\(559\) | −1.84695 | − | 1.06634i | −0.0781176 | − | 0.0451012i | ||||
\(560\) | −2.53181 | − | 8.26545i | −0.106989 | − | 0.349279i | ||||
\(561\) | −0.793243 | − | 22.6729i | −0.0334907 | − | 0.957252i | ||||
\(562\) | 17.1075 | + | 9.87703i | 0.721637 | + | 0.416637i | ||||
\(563\) | 27.9541 | − | 16.1393i | 1.17812 | − | 0.680190i | 0.222543 | − | 0.974923i | \(-0.428564\pi\) |
0.955580 | + | 0.294733i | \(0.0952308\pi\) | |||||||
\(564\) | 7.93459 | + | 12.6962i | 0.334107 | + | 0.534604i | ||||
\(565\) | −8.61323 | + | 4.39443i | −0.362361 | + | 0.184875i | ||||
\(566\) | −3.15771 | − | 1.14931i | −0.132729 | − | 0.0483093i | ||||
\(567\) | −33.0878 | + | 10.7605i | −1.38956 | + | 0.451897i | ||||
\(568\) | 12.5256 | + | 2.20861i | 0.525564 | + | 0.0926711i | ||||
\(569\) | 39.3716 | 1.65054 | 0.825272 | − | 0.564735i | \(-0.191022\pi\) | ||||
0.825272 | + | 0.564735i | \(0.191022\pi\) | |||||||
\(570\) | −16.7464 | + | 2.13507i | −0.701429 | + | 0.0894282i | ||||
\(571\) | 21.6060 | 0.904184 | 0.452092 | − | 0.891971i | \(-0.350678\pi\) | ||||
0.452092 | + | 0.891971i | \(0.350678\pi\) | |||||||
\(572\) | −3.51977 | − | 0.620630i | −0.147169 | − | 0.0259499i | ||||
\(573\) | −27.2047 | − | 30.2099i | −1.13649 | − | 1.26204i | ||||
\(574\) | −21.0546 | − | 7.66324i | −0.878801 | − | 0.319857i | ||||
\(575\) | −30.0902 | + | 20.3427i | −1.25485 | + | 0.848350i | ||||
\(576\) | 2.74048 | − | 1.22057i | 0.114187 | − | 0.0508570i | ||||
\(577\) | 36.8254 | − | 21.2611i | 1.53306 | − | 0.885113i | 0.533842 | − | 0.845585i | \(-0.320748\pi\) |
0.999218 | − | 0.0395281i | \(-0.0125855\pi\) | |||||||
\(578\) | −5.51668 | − | 3.18505i | −0.229463 | − | 0.132481i | ||||
\(579\) | 37.9315 | − | 1.32708i | 1.57638 | − | 0.0551518i | ||||
\(580\) | −13.3903 | + | 4.10162i | −0.556002 | + | 0.170311i | ||||
\(581\) | 10.0877 | + | 5.82413i | 0.418508 | + | 0.241626i | ||||
\(582\) | −8.93590 | − | 22.1130i | −0.370405 | − | 0.916612i | ||||
\(583\) | −34.9385 | + | 29.3169i | −1.44700 | + | 1.21418i | ||||
\(584\) | −11.2358 | + | 4.08951i | −0.464943 | + | 0.169225i | ||||
\(585\) | −2.88983 | + | 5.22155i | −0.119480 | + | 0.215884i | ||||
\(586\) | −15.0697 | − | 12.6450i | −0.622524 | − | 0.522360i | ||||
\(587\) | 4.88741 | − | 27.7179i | 0.201725 | − | 1.14404i | −0.700785 | − | 0.713372i | \(-0.747167\pi\) |
0.902510 | − | 0.430668i | \(-0.141722\pi\) | |||||||
\(588\) | 1.91442 | − | 13.6283i | 0.0789494 | − | 0.562021i | ||||
\(589\) | −2.80877 | + | 7.03363i | −0.115734 | + | 0.289816i | ||||
\(590\) | 0.102695 | − | 0.0126649i | 0.00422790 | − | 0.000521404i | ||||
\(591\) | 19.9873 | + | 6.49281i | 0.822166 | + | 0.267078i | ||||
\(592\) | −2.18387 | − | 1.83248i | −0.0897564 | − | 0.0753145i | ||||
\(593\) | −21.6775 | − | 7.88996i | −0.890188 | − | 0.324002i | −0.143874 | − | 0.989596i | \(-0.545956\pi\) |
−0.746314 | + | 0.665594i | \(0.768178\pi\) | |||||||
\(594\) | 1.45209 | − | 20.8246i | 0.0595800 | − | 0.854445i | ||||
\(595\) | 19.2106 | − | 20.6228i | 0.787558 | − | 0.845453i | ||||
\(596\) | −17.1793 | + | 9.91847i | −0.703691 | + | 0.406276i | ||||
\(597\) | −12.7272 | − | 9.94222i | −0.520889 | − | 0.406908i | ||||
\(598\) | −6.36442 | + | 1.12222i | −0.260260 | + | 0.0458909i | ||||
\(599\) | −4.52174 | − | 25.6440i | −0.184753 | − | 1.04779i | −0.926272 | − | 0.376855i | \(-0.877005\pi\) |
0.741519 | − | 0.670932i | \(-0.234106\pi\) | |||||||
\(600\) | 3.51350 | − | 7.91551i | 0.143438 | − | 0.323149i | ||||
\(601\) | 5.09656 | − | 2.94250i | 0.207893 | − | 0.120027i | −0.392439 | − | 0.919778i | \(-0.628369\pi\) |
0.600332 | + | 0.799751i | \(0.295035\pi\) | |||||||
\(602\) | 5.95708 | + | 7.09937i | 0.242792 | + | 0.289349i | ||||
\(603\) | −11.1401 | + | 0.780456i | −0.453659 | + | 0.0317826i | ||||
\(604\) | −2.24928 | + | 6.17985i | −0.0915219 | + | 0.251454i | ||||
\(605\) | 6.25432 | − | 9.64204i | 0.254274 | − | 0.392005i | ||||
\(606\) | −27.3269 | − | 8.87706i | −1.11008 | − | 0.360606i | ||||
\(607\) | 13.9107 | 0.564620 | 0.282310 | − | 0.959323i | \(-0.408899\pi\) | ||||
0.282310 | + | 0.959323i | \(0.408899\pi\) | |||||||
\(608\) | 4.26727 | + | 0.889035i | 0.173061 | + | 0.0360551i | ||||
\(609\) | −41.5292 | − | 5.83378i | −1.68285 | − | 0.236396i | ||||
\(610\) | 0.320551 | − | 6.17938i | 0.0129787 | − | 0.250196i | ||||
\(611\) | 5.89084 | + | 4.94300i | 0.238318 | + | 0.199972i | ||||
\(612\) | 7.91379 | + | 5.74812i | 0.319896 | + | 0.232354i | ||||
\(613\) | −1.92488 | − | 5.28856i | −0.0777452 | − | 0.213603i | 0.894731 | − | 0.446605i | \(-0.147367\pi\) |
−0.972476 | + | 0.233002i | \(0.925145\pi\) | |||||||
\(614\) | 17.6462 | + | 21.0299i | 0.712142 | + | 0.848697i | ||||
\(615\) | −10.8940 | − | 19.6257i | −0.439290 | − | 0.791385i | ||||
\(616\) | 13.4504 | + | 7.76559i | 0.541932 | + | 0.312885i | ||||
\(617\) | 4.30340 | + | 24.4058i | 0.173248 | + | 0.982540i | 0.940146 | + | 0.340771i | \(0.110688\pi\) |
−0.766898 | + | 0.641769i | \(0.778201\pi\) | |||||||
\(618\) | 0.433367 | + | 12.3868i | 0.0174326 | + | 0.498269i | ||||
\(619\) | −10.4425 | + | 18.0870i | −0.419721 | + | 0.726978i | −0.995911 | − | 0.0903379i | \(-0.971205\pi\) |
0.576190 | + | 0.817315i | \(0.304539\pi\) | |||||||
\(620\) | −2.33984 | − | 3.10164i | −0.0939704 | − | 0.124565i | ||||
\(621\) | −10.4114 | − | 36.2821i | −0.417796 | − | 1.45595i | ||||
\(622\) | 13.0551 | − | 4.75168i | 0.523463 | − | 0.190525i | ||||
\(623\) | 11.2286 | − | 30.8505i | 0.449866 | − | 1.23600i | ||||
\(624\) | 1.14505 | − | 1.03114i | 0.0458385 | − | 0.0412786i | ||||
\(625\) | −7.77601 | − | 23.7599i | −0.311040 | − | 0.950397i | ||||
\(626\) | 2.60169 | 0.103985 | ||||||||
\(627\) | 19.4008 | − | 23.3147i | 0.774794 | − | 0.931099i | ||||
\(628\) | 21.8064i | 0.870171i | ||||||||
\(629\) | 1.61401 | − | 9.15352i | 0.0643549 | − | 0.364975i | ||||
\(630\) | 19.5610 | − | 17.0269i | 0.779330 | − | 0.678369i | ||||
\(631\) | −15.6660 | − | 5.70194i | −0.623652 | − | 0.226991i | 0.0108141 | − | 0.999942i | \(-0.496558\pi\) |
−0.634466 | + | 0.772951i | \(0.718780\pi\) | |||||||
\(632\) | −11.3962 | + | 4.14788i | −0.453316 | + | 0.164994i | ||||
\(633\) | −17.8125 | + | 11.1321i | −0.707985 | + | 0.442463i | ||||
\(634\) | −8.51626 | − | 14.7506i | −0.338224 | − | 0.585821i | ||||
\(635\) | −6.66066 | − | 2.82310i | −0.264320 | − | 0.112031i | ||||
\(636\) | −0.687535 | − | 19.6515i | −0.0272625 | − | 0.779234i | ||||
\(637\) | −1.22746 | − | 6.96129i | −0.0486339 | − | 0.275816i | ||||
\(638\) | 12.5805 | − | 21.7901i | 0.498068 | − | 0.862678i | ||||
\(639\) | 9.23576 | + | 37.0220i | 0.365361 | + | 1.46457i | ||||
\(640\) | −1.52412 | + | 1.63617i | −0.0602463 | + | 0.0646752i | ||||
\(641\) | −43.0495 | + | 15.6687i | −1.70035 | + | 0.618878i | −0.995866 | − | 0.0908379i | \(-0.971045\pi\) |
−0.704488 | + | 0.709716i | \(0.748823\pi\) | |||||||
\(642\) | −3.79619 | + | 7.14073i | −0.149824 | + | 0.281822i | ||||
\(643\) | 10.2594 | − | 12.2266i | 0.404590 | − | 0.482172i | −0.524824 | − | 0.851211i | \(-0.675869\pi\) |
0.929414 | + | 0.369039i | \(0.120313\pi\) | |||||||
\(644\) | 27.6567 | + | 4.87662i | 1.08983 | + | 0.192166i | ||||
\(645\) | −0.156489 | + | 9.28311i | −0.00616176 | + | 0.365522i | ||||
\(646\) | 4.44617 | + | 13.4981i | 0.174932 | + | 0.531077i | ||||
\(647\) | −12.4171 | −0.488168 | −0.244084 | − | 0.969754i | \(-0.578487\pi\) | ||||
−0.244084 | + | 0.969754i | \(0.578487\pi\) | |||||||
\(648\) | 6.68988 | + | 6.02042i | 0.262803 | + | 0.236505i | ||||
\(649\) | −0.119498 | + | 0.142412i | −0.00469069 | + | 0.00559015i | ||||
\(650\) | 0.460256 | − | 4.42432i | 0.0180527 | − | 0.173536i | ||||
\(651\) | −2.41970 | − | 11.3801i | −0.0948355 | − | 0.446023i | ||||
\(652\) | 1.66895 | + | 1.98897i | 0.0653610 | + | 0.0778942i | ||||
\(653\) | −1.06318 | − | 1.84148i | −0.0416053 | − | 0.0720625i | 0.844473 | − | 0.535598i | \(-0.179914\pi\) |
−0.886078 | + | 0.463536i | \(0.846581\pi\) | |||||||
\(654\) | −9.86302 | − | 7.70480i | −0.385675 | − | 0.301281i | ||||
\(655\) | −5.12889 | − | 16.7440i | −0.200402 | − | 0.654241i | ||||
\(656\) | 1.00641 | + | 5.70763i | 0.0392937 | + | 0.222846i | ||||
\(657\) | −24.9213 | − | 25.8000i | −0.972274 | − | 1.00656i | ||||
\(658\) | −16.7084 | − | 28.9398i | −0.651361 | − | 1.12819i | ||||
\(659\) | −6.27245 | + | 5.26321i | −0.244340 | + | 0.205026i | −0.756730 | − | 0.653727i | \(-0.773204\pi\) |
0.512391 | + | 0.858753i | \(0.328760\pi\) | |||||||
\(660\) | 5.07445 | + | 14.7087i | 0.197523 | + | 0.572536i | ||||
\(661\) | −2.66756 | + | 7.32905i | −0.103756 | + | 0.285067i | −0.980698 | − | 0.195529i | \(-0.937358\pi\) |
0.876942 | + | 0.480596i | \(0.159580\pi\) | |||||||
\(662\) | 4.59341 | + | 3.85433i | 0.178528 | + | 0.149803i | ||||
\(663\) | 4.77809 | + | 1.55215i | 0.185566 | + | 0.0602806i | ||||
\(664\) | − | 3.01304i | − | 0.116929i | ||||||
\(665\) | 37.5218 | − | 3.45565i | 1.45503 | − | 0.134004i | ||||
\(666\) | 2.35631 | − | 8.22150i | 0.0913053 | − | 0.318577i | ||||
\(667\) | 7.90030 | − | 44.8048i | 0.305901 | − | 1.73485i | ||||
\(668\) | −13.9200 | + | 16.5892i | −0.538579 | + | 0.641854i | ||||
\(669\) | −14.4246 | + | 27.1331i | −0.557689 | + | 1.04903i | ||||
\(670\) | 7.41444 | − | 3.78282i | 0.286445 | − | 0.146143i | ||||
\(671\) | 7.14594 | + | 8.51620i | 0.275866 | + | 0.328764i | ||||
\(672\) | −6.20828 | + | 2.50878i | −0.239489 | + | 0.0967782i | ||||
\(673\) | −15.4166 | + | 26.7024i | −0.594268 | + | 1.02930i | 0.399382 | + | 0.916785i | \(0.369225\pi\) |
−0.993650 | + | 0.112517i | \(0.964109\pi\) | |||||||
\(674\) | 22.6914 | − | 4.00110i | 0.874040 | − | 0.154117i | ||||
\(675\) | 25.9807 | − | 0.0327469i | 0.999999 | − | 0.00126043i | ||||
\(676\) | −6.10427 | + | 10.5729i | −0.234780 | + | 0.406650i | ||||
\(677\) | −8.64881 | + | 4.99339i | −0.332401 | + | 0.191912i | −0.656906 | − | 0.753972i | \(-0.728135\pi\) |
0.324506 | + | 0.945884i | \(0.394802\pi\) | |||||||
\(678\) | 3.96948 | + | 6.35157i | 0.152447 | + | 0.243931i | ||||
\(679\) | 18.2070 | + | 50.0234i | 0.698722 | + | 1.91972i | ||||
\(680\) | −7.10439 | − | 1.63620i | −0.272441 | − | 0.0627453i | ||||
\(681\) | −9.97612 | − | 11.0781i | −0.382286 | − | 0.424516i | ||||
\(682\) | 6.87436 | + | 1.21214i | 0.263233 | + | 0.0464151i | ||||
\(683\) | 9.22304i | 0.352910i | 0.984309 | + | 0.176455i | \(0.0564630\pi\) | ||||
−0.984309 | + | 0.176455i | \(0.943537\pi\) | |||||||
\(684\) | 2.77212 | + | 12.7795i | 0.105995 | + | 0.488636i | ||||
\(685\) | −2.61922 | − | 21.2384i | −0.100075 | − | 0.811478i | ||||
\(686\) | −0.634763 | + | 3.59992i | −0.0242353 | + | 0.137445i | ||||
\(687\) | −0.705114 | + | 0.634971i | −0.0269018 | + | 0.0242256i | ||||
\(688\) | 0.819901 | − | 2.25266i | 0.0312584 | − | 0.0858818i | ||||
\(689\) | −3.45436 | − | 9.49077i | −0.131601 | − | 0.361570i | ||||
\(690\) | 17.7187 | + | 21.8540i | 0.674538 | + | 0.831968i | ||||
\(691\) | 8.24949 | + | 14.2885i | 0.313826 | + | 0.543562i | 0.979187 | − | 0.202959i | \(-0.0650560\pi\) |
−0.665362 | + | 0.746521i | \(0.731723\pi\) | |||||||
\(692\) | 5.38735 | + | 3.11039i | 0.204796 | + | 0.118239i | ||||
\(693\) | −4.86428 | + | 46.3389i | −0.184779 | + | 1.76027i | ||||
\(694\) | −11.7720 | + | 2.07572i | −0.446859 | + | 0.0787933i | ||||
\(695\) | −44.9449 | − | 19.0498i | −1.70486 | − | 0.722598i | ||||
\(696\) | 4.06431 | + | 10.0576i | 0.154057 | + | 0.381233i | ||||
\(697\) | −14.4751 | + | 12.1461i | −0.548285 | + | 0.460066i | ||||
\(698\) | −7.62668 | − | 20.9541i | −0.288674 | − | 0.793126i | ||||
\(699\) | 1.32217 | − | 2.48703i | 0.0500090 | − | 0.0940682i | ||||
\(700\) | −8.45511 | + | 17.3825i | −0.319573 | + | 0.656995i | ||||
\(701\) | −6.38170 | − | 1.12527i | −0.241033 | − | 0.0425007i | 0.0518263 | − | 0.998656i | \(-0.483496\pi\) |
−0.292860 | + | 0.956155i | \(0.594607\pi\) | |||||||
\(702\) | 4.22342 | + | 1.87939i | 0.159403 | + | 0.0709331i | ||||
\(703\) | 9.76123 | − | 7.69001i | 0.368152 | − | 0.290034i | ||||
\(704\) | − | 4.01743i | − | 0.151413i | ||||||
\(705\) | 6.36819 | − | 32.8663i | 0.239840 | − | 1.23782i | ||||
\(706\) | −18.0072 | + | 21.4601i | −0.677710 | + | 0.807663i | ||||
\(707\) | 60.2637 | + | 21.9342i | 2.26645 | + | 0.824920i | ||||
\(708\) | −0.0166693 | − | 0.0783975i | −0.000626470 | − | 0.00294636i | ||||
\(709\) | −30.5872 | + | 25.6657i | −1.14873 | + | 0.963896i | −0.999689 | − | 0.0249357i | \(-0.992062\pi\) |
−0.149037 | + | 0.988832i | \(0.547617\pi\) | |||||||
\(710\) | −17.1278 | − | 22.7043i | −0.642796 | − | 0.852076i | ||||
\(711\) | −25.2770 | − | 26.1682i | −0.947962 | − | 0.981386i | ||||
\(712\) | −8.36318 | + | 1.47465i | −0.313423 | + | 0.0552650i | ||||
\(713\) | 12.4302 | − | 2.19177i | 0.465513 | − | 0.0820826i | ||||
\(714\) | −17.2042 | − | 13.4396i | −0.643852 | − | 0.502965i | ||||
\(715\) | 4.81301 | + | 6.38002i | 0.179997 | + | 0.238599i | ||||
\(716\) | 5.60484 | − | 4.70302i | 0.209463 | − | 0.175760i | ||||
\(717\) | −13.8095 | + | 2.93624i | −0.515725 | + | 0.109656i | ||||
\(718\) | 16.6681 | + | 6.06669i | 0.622048 | + | 0.226407i | ||||
\(719\) | −22.3939 | + | 26.6880i | −0.835152 | + | 0.995296i | 0.164807 | + | 0.986326i | \(0.447300\pi\) |
−0.999960 | + | 0.00897016i | \(0.997145\pi\) | |||||||
\(720\) | −6.34418 | − | 2.17977i | −0.236434 | − | 0.0812353i | ||||
\(721\) | − | 27.6643i | − | 1.03027i | ||||||
\(722\) | −7.58751 | + | 17.4192i | −0.282378 | + | 0.648277i | ||||
\(723\) | −33.4390 | − | 4.69731i | −1.24361 | − | 0.174695i | ||||
\(724\) | −11.3503 | − | 2.00137i | −0.421831 | − | 0.0743802i | ||||
\(725\) | 28.1602 | + | 13.6976i | 1.04584 | + | 0.508715i | ||||
\(726\) | −7.86056 | − | 4.17887i | −0.291733 | − | 0.155092i | ||||
\(727\) | 17.1263 | + | 47.0541i | 0.635179 | + | 1.74514i | 0.666365 | + | 0.745625i | \(0.267849\pi\) |
−0.0311866 | + | 0.999514i | \(0.509929\pi\) | |||||||
\(728\) | −2.63466 | + | 2.21074i | −0.0976469 | + | 0.0819355i | ||||
\(729\) | −8.33337 | + | 25.6818i | −0.308643 | + | 0.951178i | ||||
\(730\) | 24.6167 | + | 10.4337i | 0.911103 | + | 0.386169i | ||||
\(731\) | 7.69707 | − | 1.35720i | 0.284687 | − | 0.0501979i | ||||
\(732\) | −4.79003 | + | 0.167585i | −0.177045 | + | 0.00619414i | ||||
\(733\) | 25.6802 | + | 14.8265i | 0.948521 | + | 0.547629i | 0.892621 | − | 0.450808i | \(-0.148864\pi\) |
0.0558997 | + | 0.998436i | \(0.482197\pi\) | |||||||
\(734\) | −0.435650 | − | 0.754569i | −0.0160801 | − | 0.0278516i | ||||
\(735\) | −23.9035 | + | 19.3804i | −0.881695 | + | 0.714855i | ||||
\(736\) | −2.48453 | − | 6.82620i | −0.0915811 | − | 0.251617i | ||||
\(737\) | −5.11482 | + | 14.0529i | −0.188407 | + | 0.517644i | ||||
\(738\) | −14.4132 | + | 9.72460i | −0.530559 | + | 0.357968i | ||||
\(739\) | 1.12724 | − | 6.39289i | 0.0414662 | − | 0.235166i | −0.957030 | − | 0.289989i | \(-0.906348\pi\) |
0.998496 | + | 0.0548228i | \(0.0174594\pi\) | |||||||
\(740\) | 0.780242 | + | 6.32673i | 0.0286823 | + | 0.232575i | ||||
\(741\) | 3.38217 | + | 5.80294i | 0.124247 | + | 0.213176i | ||||
\(742\) | 43.8892i | 1.61122i | ||||||||
\(743\) | 7.70027 | + | 1.35777i | 0.282496 | + | 0.0498116i | 0.313101 | − | 0.949720i | \(-0.398632\pi\) |
−0.0306050 | + | 0.999532i | \(0.509743\pi\) | |||||||
\(744\) | −2.23636 | + | 2.01389i | −0.0819888 | + | 0.0738327i | ||||
\(745\) | 43.2252 | + | 9.95510i | 1.58365 | + | 0.364727i | ||||
\(746\) | −5.10560 | − | 14.0275i | −0.186929 | − | 0.513584i | ||||
\(747\) | 8.25717 | − | 3.67763i | 0.302114 | − | 0.134557i | ||||
\(748\) | 11.3434 | − | 6.54912i | 0.414756 | − | 0.239460i | ||||
\(749\) | 9.02522 | − | 15.6321i | 0.329774 | − | 0.571186i | ||||
\(750\) | −17.8129 | + | 7.59608i | −0.650435 | + | 0.277370i | ||||
\(751\) | 19.0715 | − | 3.36281i | 0.695928 | − | 0.122711i | 0.185516 | − | 0.982641i | \(-0.440604\pi\) |
0.510411 | + | 0.859930i | \(0.329493\pi\) | |||||||
\(752\) | −4.32194 | + | 7.48582i | −0.157605 | + | 0.272980i | ||||
\(753\) | −1.60673 | − | 3.97605i | −0.0585526 | − | 0.144895i | ||||
\(754\) | 3.58147 | + | 4.26823i | 0.130430 | + | 0.155440i | ||||
\(755\) | 13.0991 | − | 6.68308i | 0.476723 | − | 0.243222i | ||||
\(756\) | −14.4529 | − | 13.9515i | −0.525646 | − | 0.507411i | ||||
\(757\) | 0.216899 | − | 0.258490i | 0.00788332 | − | 0.00939498i | −0.762088 | − | 0.647473i | \(-0.775826\pi\) |
0.769972 | + | 0.638078i | \(0.220270\pi\) | |||||||
\(758\) | 2.76198 | − | 15.6639i | 0.100319 | − | 0.568940i | ||||
\(759\) | −50.0563 | − | 7.03162i | −1.81693 | − | 0.255232i | ||||
\(760\) | −5.62697 | − | 7.95847i | −0.204112 | − | 0.288684i | ||||
\(761\) | − | 3.44946i | − | 0.125043i | −0.998044 | − | 0.0625214i | \(-0.980086\pi\) | ||
0.998044 | − | 0.0625214i | \(-0.0199142\pi\) | |||||||
\(762\) | −1.73127 | + | 5.32948i | −0.0627172 | + | 0.193067i | ||||
\(763\) | 21.3996 | + | 17.9564i | 0.774716 | + | 0.650064i | ||||
\(764\) | 8.02773 | − | 22.0560i | 0.290433 | − | 0.797958i | ||||
\(765\) | −4.18744 | − | 21.4665i | −0.151397 | − | 0.776123i | ||||
\(766\) | −23.9018 | + | 20.0560i | −0.863609 | + | 0.724654i | ||||
\(767\) | −0.0205839 | − | 0.0356524i | −0.000743242 | − | 0.00128733i | ||||
\(768\) | 1.36494 | + | 1.06627i | 0.0492532 | + | 0.0384756i | ||||
\(769\) | −1.74841 | − | 9.91572i | −0.0630493 | − | 0.357570i | −0.999968 | − | 0.00802243i | \(-0.997446\pi\) |
0.936919 | − | 0.349548i | \(-0.113665\pi\) | |||||||
\(770\) | −10.1714 | − | 33.2059i | −0.366551 | − | 1.19666i | ||||
\(771\) | −8.90019 | + | 11.3933i | −0.320532 | + | 0.410318i | ||||
\(772\) | 10.9566 | + | 18.9774i | 0.394336 | + | 0.683011i | ||||
\(773\) | −12.6148 | − | 15.0337i | −0.453721 | − | 0.540724i | 0.489888 | − | 0.871785i | \(-0.337038\pi\) |
−0.943609 | + | 0.331061i | \(0.892593\pi\) | |||||||
\(774\) | 7.17411 | − | 0.502606i | 0.257868 | − | 0.0180658i | ||||
\(775\) | −0.898913 | + | 8.64102i | −0.0322899 | + | 0.310395i | ||||
\(776\) | 8.85114 | − | 10.5484i | 0.317737 | − | 0.378665i | ||||
\(777\) | −5.89771 | + | 18.1553i | −0.211579 | + | 0.651319i | ||||
\(778\) | −4.92558 | −0.176590 | ||||||||
\(779\) | −25.2508 | − | 0.779661i | −0.904703 | − | 0.0279343i | ||||
\(780\) | −3.44507 | − | 0.0580750i | −0.123353 | − | 0.00207942i | ||||
\(781\) | 50.3209 | + | 8.87293i | 1.80062 | + | 0.317498i | ||||
\(782\) | 15.2239 | − | 18.1431i | 0.544404 | − | 0.648796i | ||||
\(783\) | −22.6019 | + | 23.4142i | −0.807726 | + | 0.836754i | ||||
\(784\) | 7.46638 | − | 2.71754i | 0.266656 | − | 0.0970550i | ||||
\(785\) | 33.2357 | − | 35.6790i | 1.18623 | − | 1.27344i | ||||
\(786\) | −12.5766 | + | 5.08223i | −0.448592 | + | 0.181277i | ||||
\(787\) | −8.43438 | + | 14.6088i | −0.300653 | + | 0.520747i | −0.976284 | − | 0.216493i | \(-0.930538\pi\) |
0.675631 | + | 0.737240i | \(0.263871\pi\) | |||||||
\(788\) | 2.10692 | + | 11.9489i | 0.0750558 | + | 0.425663i | ||||
\(789\) | 1.70686 | − | 0.0597166i | 0.0607657 | − | 0.00212597i | ||||
\(790\) | 24.9680 | + | 10.5826i | 0.888321 | + | 0.376512i | ||||
\(791\) | −8.35880 | − | 14.4779i | −0.297205 | − | 0.514774i | ||||
\(792\) | 11.0097 | − | 4.90355i | 0.391212 | − | 0.174240i | ||||
\(793\) | −2.31336 | + | 0.841994i | −0.0821498 | + | 0.0299001i | ||||
\(794\) | 29.0047 | + | 10.5569i | 1.02934 | + | 0.374649i | ||||
\(795\) | −28.8265 | + | 33.2011i | −1.02237 | + | 1.17752i | ||||
\(796\) | 1.61915 | − | 9.18266i | 0.0573893 | − | 0.325471i | ||||
\(797\) | 29.0909i | 1.03045i | 0.857054 | + | 0.515227i | \(0.172292\pi\) | ||||
−0.857054 | + | 0.515227i | \(0.827708\pi\) | |||||||
\(798\) | −5.18627 | − | 28.7228i | −0.183592 | − | 1.01678i | ||||
\(799\) | −28.1821 | −0.997011 | ||||||||
\(800\) | 4.98745 | − | 0.354089i | 0.176333 | − | 0.0125190i | ||||
\(801\) | −14.2491 | − | 21.1192i | −0.503467 | − | 0.746209i | ||||
\(802\) | 10.8798 | − | 29.8921i | 0.384180 | − | 1.05553i | ||||
\(803\) | −45.1392 | + | 16.4293i | −1.59293 | + | 0.579779i | ||||
\(804\) | −3.41701 | − | 5.46756i | −0.120509 | − | 0.192826i | ||||
\(805\) | −37.8184 | − | 50.1312i | −1.33292 | − | 1.76689i | ||||
\(806\) | −0.772888 | + | 1.33868i | −0.0272238 | + | 0.0471530i | ||||
\(807\) | −40.8842 | + | 1.43039i | −1.43919 | + | 0.0503521i | ||||
\(808\) | −2.88061 | − | 16.3367i | −0.101339 | − | 0.574724i | ||||
\(809\) | 12.8675 | + | 7.42903i | 0.452396 | + | 0.261191i | 0.708841 | − | 0.705368i | \(-0.249218\pi\) |
−0.256446 | + | 0.966559i | \(0.582552\pi\) | |||||||
\(810\) | −1.76989 | − | 20.0466i | −0.0621876 | − | 0.704367i | ||||
\(811\) | −4.24280 | − | 5.05637i | −0.148985 | − | 0.177553i | 0.686391 | − | 0.727233i | \(-0.259194\pi\) |
−0.835375 | + | 0.549680i | \(0.814750\pi\) | |||||||
\(812\) | −8.28110 | − | 22.7521i | −0.290609 | − | 0.798443i | ||||
\(813\) | 24.0951 | − | 45.3235i | 0.845052 | − | 1.58956i | ||||
\(814\) | −8.77353 | − | 7.36187i | −0.307512 | − | 0.258033i | ||||
\(815\) | 0.300766 | − | 5.79797i | 0.0105354 | − | 0.203094i | ||||
\(816\) | −0.785558 | + | 5.59219i | −0.0275000 | + | 0.195766i | ||||
\(817\) | 8.88379 | + | 5.50143i | 0.310805 | + | 0.192471i | ||||
\(818\) | −23.1045 | −0.807829 | ||||||||
\(819\) | −9.27426 | − | 4.52186i | −0.324069 | − | 0.158006i | ||||
\(820\) | 7.05249 | − | 10.8725i | 0.246284 | − | 0.379686i | ||||
\(821\) | 18.7457 | − | 51.5033i | 0.654228 | − | 1.79748i | 0.0527213 | − | 0.998609i | \(-0.483211\pi\) |
0.601507 | − | 0.798868i | \(-0.294567\pi\) | |||||||
\(822\) | −16.2134 | + | 3.44737i | −0.565507 | + | 0.120241i | ||||
\(823\) | 34.2674 | + | 40.8383i | 1.19449 | + | 1.42353i | 0.880461 | + | 0.474119i | \(0.157233\pi\) |
0.314026 | + | 0.949415i | \(0.398322\pi\) | |||||||
\(824\) | −6.19717 | + | 3.57794i | −0.215889 | + | 0.124643i | ||||
\(825\) | 14.1153 | − | 31.8000i | 0.491430 | − | 1.10713i | ||||
\(826\) | 0.0310649 | + | 0.176178i | 0.00108089 | + | 0.00613001i | ||||
\(827\) | −1.47054 | + | 0.259297i | −0.0511359 | + | 0.00901663i | −0.199158 | − | 0.979967i | \(-0.563821\pi\) |
0.148022 | + | 0.988984i | \(0.452709\pi\) | |||||||
\(828\) | 15.6745 | − | 15.1407i | 0.544726 | − | 0.526174i | ||||
\(829\) | −22.4356 | + | 12.9532i | −0.779220 | + | 0.449883i | −0.836154 | − | 0.548495i | \(-0.815201\pi\) |
0.0569335 | + | 0.998378i | \(0.481868\pi\) | |||||||
\(830\) | −4.59225 | + | 4.92984i | −0.159399 | + | 0.171117i | ||||
\(831\) | 18.9109 | − | 4.02093i | 0.656011 | − | 0.139484i | ||||
\(832\) | 0.835988 | + | 0.304275i | 0.0289827 | + | 0.0105488i | ||||
\(833\) | 19.8446 | + | 16.6516i | 0.687575 | + | 0.576944i | ||||
\(834\) | −11.6823 | + | 35.9623i | −0.404523 | + | 1.24527i | ||||
\(835\) | 48.0593 | − | 5.92690i | 1.66316 | − | 0.205109i | ||||
\(836\) | 17.1435 | + | 3.57164i | 0.592920 | + | 0.123528i | ||||
\(837\) | −8.24864 | − | 3.67059i | −0.285115 | − | 0.126874i | ||||
\(838\) | 3.41199 | − | 19.3503i | 0.117865 | − | 0.668446i | ||||
\(839\) | −23.1568 | − | 19.4309i | −0.799463 | − | 0.670829i | 0.148605 | − | 0.988897i | \(-0.452522\pi\) |
−0.948068 | + | 0.318067i | \(0.896966\pi\) | |||||||
\(840\) | 13.9815 | + | 5.35740i | 0.482407 | + | 0.184848i | ||||
\(841\) | −9.60813 | + | 3.49707i | −0.331315 | + | 0.120589i | ||||
\(842\) | 8.70410 | − | 7.30361i | 0.299963 | − | 0.251699i | ||||
\(843\) | −31.7228 | + | 12.8193i | −1.09259 | + | 0.441519i | ||||
\(844\) | −10.5025 | − | 6.06363i | −0.361511 | − | 0.208719i | ||||
\(845\) | 26.1020 | − | 7.99538i | 0.897937 | − | 0.275049i | ||||
\(846\) | −25.7899 | − | 2.70722i | −0.886676 | − | 0.0930761i | ||||
\(847\) | 17.2080 | + | 9.93502i | 0.591272 | + | 0.341371i | ||||
\(848\) | 9.83178 | − | 5.67638i | 0.337625 | − | 0.194928i | ||||
\(849\) | 4.93572 | − | 3.08463i | 0.169393 | − | 0.105864i | ||||
\(850\) | 9.13020 | + | 13.5051i | 0.313163 | + | 0.463220i | ||||
\(851\) | −19.4604 | − | 7.08300i | −0.667093 | − | 0.242802i | ||||
\(852\) | −16.3703 | + | 14.7418i | −0.560837 | + | 0.505047i | ||||
\(853\) | −31.8325 | − | 5.61292i | −1.08992 | − | 0.192183i | −0.400323 | − | 0.916374i | \(-0.631102\pi\) |
−0.689599 | + | 0.724191i | \(0.742213\pi\) | |||||||
\(854\) | 10.6979 | 0.366075 | ||||||||
\(855\) | 14.9419 | − | 25.1344i | 0.511001 | − | 0.859580i | ||||
\(856\) | −4.66909 | −0.159586 | ||||||||
\(857\) | −31.1025 | − | 5.48420i | −1.06244 | − | 0.187337i | −0.385001 | − | 0.922916i | \(-0.625799\pi\) |
−0.677439 | + | 0.735579i | \(0.736910\pi\) | |||||||
\(858\) | 4.60014 | − | 4.14253i | 0.157046 | − | 0.141424i | ||||
\(859\) | 16.3134 | + | 5.93759i | 0.556606 | + | 0.202588i | 0.604979 | − | 0.796241i | \(-0.293181\pi\) |
−0.0483731 | + | 0.998829i | \(0.515404\pi\) | |||||||
\(860\) | −4.77483 | + | 2.43610i | −0.162820 | + | 0.0830702i | ||||
\(861\) | 32.9097 | − | 20.5673i | 1.12156 | − | 0.700930i | ||||
\(862\) | −12.1540 | + | 7.01714i | −0.413968 | + | 0.239005i | ||||
\(863\) | −21.5052 | − | 12.4160i | −0.732044 | − | 0.422646i | 0.0871252 | − | 0.996197i | \(-0.472232\pi\) |
−0.819170 | + | 0.573551i | \(0.805565\pi\) | |||||||
\(864\) | −1.25607 | + | 5.04205i | −0.0427325 | + | 0.171534i | ||||
\(865\) | −4.07399 | − | 13.3001i | −0.138520 | − | 0.452217i | ||||
\(866\) | 4.73692 | + | 2.73486i | 0.160967 | + | 0.0929343i | ||||
\(867\) | 10.2297 | − | 4.13384i | 0.347418 | − | 0.140392i | ||||
\(868\) | 5.14567 | − | 4.31773i | 0.174656 | − | 0.146553i | ||||
\(869\) | −45.7835 | + | 16.6638i | −1.55310 | + | 0.565281i | ||||
\(870\) | 8.67917 | − | 22.6505i | 0.294252 | − | 0.767922i | ||||
\(871\) | −2.53687 | − | 2.12869i | −0.0859586 | − | 0.0721279i | ||||
\(872\) | 1.25477 | − | 7.11617i | 0.0424920 | − | 0.240984i | ||||
\(873\) | 39.7110 | + | 11.3813i | 1.34401 | + | 0.385199i | ||||
\(874\) | 31.3381 | − | 4.53345i | 1.06003 | − | 0.153346i | ||||
\(875\) | 40.3270 | − | 15.5540i | 1.36330 | − | 0.525821i | ||||
\(876\) | 6.39846 | − | 19.6968i | 0.216184 | − | 0.665494i | ||||
\(877\) | 6.41225 | + | 5.38052i | 0.216526 | + | 0.181687i | 0.744599 | − | 0.667512i | \(-0.232641\pi\) |
−0.528073 | + | 0.849199i | \(0.677085\pi\) | |||||||
\(878\) | 25.4556 | + | 9.26507i | 0.859084 | + | 0.312681i | ||||
\(879\) | 33.3280 | − | 7.08638i | 1.12413 | − | 0.239018i | ||||
\(880\) | −6.12307 | + | 6.57319i | −0.206409 | + | 0.221582i | ||||
\(881\) | 12.2282 | − | 7.05997i | 0.411979 | − | 0.237856i | −0.279660 | − | 0.960099i | \(-0.590222\pi\) |
0.691640 | + | 0.722243i | \(0.256889\pi\) | |||||||
\(882\) | 16.5606 | + | 17.1445i | 0.557624 | + | 0.577285i | ||||
\(883\) | −3.17975 | + | 0.560675i | −0.107007 | + | 0.0188682i | −0.226895 | − | 0.973919i | \(-0.572857\pi\) |
0.119888 | + | 0.992787i | \(0.461746\pi\) | |||||||
\(884\) | 0.503673 | + | 2.85647i | 0.0169404 | + | 0.0960736i | ||||
\(885\) | −0.0922139 | + | 0.153678i | −0.00309974 | + | 0.00516582i | ||||
\(886\) | 33.6442 | − | 19.4245i | 1.13030 | − | 0.652578i | ||||
\(887\) | −14.5346 | − | 17.3216i | −0.488024 | − | 0.581604i | 0.464690 | − | 0.885473i | \(-0.346166\pi\) |
−0.952714 | + | 0.303869i | \(0.901721\pi\) | |||||||
\(888\) | 4.82982 | − | 1.02694i | 0.162078 | − | 0.0344619i | ||||
\(889\) | 4.27776 | − | 11.7530i | 0.143471 | − | 0.394184i | ||||
\(890\) | 15.9311 | + | 10.3337i | 0.534012 | + | 0.346388i | ||||
\(891\) | 26.8761 | + | 24.1866i | 0.900384 | + | 0.810283i | ||||
\(892\) | −17.7414 | −0.594027 | ||||||||
\(893\) | −28.1017 | − | 25.0981i | −0.940387 | − | 0.839874i | ||||
\(894\) | 4.77957 | − | 34.0245i | 0.159853 | − | 1.13795i | ||||
\(895\) | −16.3384 | − | 0.847545i | −0.546134 | − | 0.0283303i | ||||
\(896\) | −2.96149 | − | 2.48498i | −0.0989364 | − | 0.0830175i | ||||
\(897\) | 5.25441 | − | 9.88366i | 0.175440 | − | 0.330006i | ||||
\(898\) | −5.76702 | − | 15.8448i | −0.192448 | − | 0.528746i | ||||
\(899\) | −6.99488 | − | 8.33617i | −0.233292 | − | 0.278027i | ||||
\(900\) | 7.05789 | + | 13.2358i | 0.235263 | + | 0.441193i | ||||
\(901\) | 32.0551 | + | 18.5070i | 1.06791 | + | 0.616557i | ||||
\(902\) | 4.04318 | + | 22.9300i | 0.134623 | + | 0.763486i | ||||
\(903\) | −16.0421 | + | 0.561253i | −0.533847 | + | 0.0186773i | ||||
\(904\) | −2.16216 | + | 3.74497i | −0.0719124 | + | 0.124556i | ||||
\(905\) | 15.5207 | + | 20.5739i | 0.515925 | + | 0.683899i | ||||
\(906\) | −6.03681 | − | 9.65951i | −0.200560 | − | 0.320916i | ||||
\(907\) | 14.0379 | − | 5.10938i | 0.466121 | − | 0.169654i | −0.0982735 | − | 0.995159i | \(-0.531332\pi\) |
0.564394 | + | 0.825505i | \(0.309110\pi\) | |||||||
\(908\) | 2.94381 | − | 8.08806i | 0.0976939 | − | 0.268412i | ||||
\(909\) | 41.2545 | − | 27.8344i | 1.36832 | − | 0.923207i | ||||
\(910\) | 7.68018 | + | 0.398404i | 0.254596 | + | 0.0132070i | ||||
\(911\) | −34.6078 | −1.14661 | −0.573304 | − | 0.819343i | \(-0.694339\pi\) | ||||
−0.573304 | + | 0.819343i | \(0.694339\pi\) | |||||||
\(912\) | −5.76354 | + | 4.87664i | −0.190850 | + | 0.161482i | ||||
\(913\) | − | 12.1047i | − | 0.400607i | ||||||
\(914\) | 0.149720 | − | 0.849104i | 0.00495229 | − | 0.0280859i | ||||
\(915\) | 8.09271 | + | 7.02640i | 0.267537 | + | 0.232286i | ||||
\(916\) | −0.514798 | − | 0.187371i | −0.0170094 | − | 0.00619091i | ||||
\(917\) | 28.4505 | − | 10.3551i | 0.939518 | − | 0.341956i | ||||
\(918\) | −16.2841 | + | 4.67285i | −0.537455 | + | 0.154227i | ||||
\(919\) | −12.0939 | − | 20.9472i | −0.398941 | − | 0.690986i | 0.594655 | − | 0.803981i | \(-0.297289\pi\) |
−0.993595 | + | 0.112996i | \(0.963955\pi\) | |||||||
\(920\) | −6.33886 | + | 14.9555i | −0.208986 | + | 0.493070i | ||||
\(921\) | −47.5202 | + | 1.66256i | −1.56584 | + | 0.0547831i | ||||
\(922\) | −2.14521 | − | 12.1661i | −0.0706488 | − | 0.400669i | ||||
\(923\) | −5.65760 | + | 9.79925i | −0.186222 | + | 0.322546i | ||||
\(924\) | −24.9413 | + | 10.0788i | −0.820509 | + | 0.331570i | ||||
\(925\) | 8.36612 | − | 11.5408i | 0.275076 | − | 0.379458i | ||||
\(926\) | 33.0710 | − | 12.0369i | 1.08678 | − | 0.395556i | ||||
\(927\) | −17.3693 | − | 12.6161i | −0.570484 | − | 0.414367i | ||||
\(928\) | −4.02576 | + | 4.79771i | −0.132152 | + | 0.157493i | ||||
\(929\) | 5.20086 | + | 0.917053i | 0.170635 | + | 0.0300875i | 0.258313 | − | 0.966061i | \(-0.416834\pi\) |
−0.0876779 | + | 0.996149i | \(0.527945\pi\) | |||||||
\(930\) | 6.72847 | + | 0.113425i | 0.220635 | + | 0.00371934i | ||||
\(931\) | 4.95861 | + | 34.2770i | 0.162512 | + | 1.12338i | ||||
\(932\) | 1.62619 | 0.0532675 | ||||||||
\(933\) | −7.43449 | + | 22.8861i | −0.243394 | + | 0.749257i | ||||
\(934\) | −4.50782 | + | 5.37221i | −0.147500 | + | 0.175784i | ||||
\(935\) | −28.5414 | − | 6.57331i | −0.933403 | − | 0.214970i | ||||
\(936\) | 0.186523 | + | 2.66239i | 0.00609669 | + | 0.0870231i | ||||
\(937\) | 7.05135 | + | 8.40347i | 0.230358 | + | 0.274529i | 0.868825 | − | 0.495119i | \(-0.164876\pi\) |
−0.638467 | + | 0.769649i | \(0.720431\pi\) | |||||||
\(938\) | 7.19543 | + | 12.4628i | 0.234939 | + | 0.406926i | ||||
\(939\) | −2.77410 | + | 3.55117i | −0.0905294 | + | 0.115888i | ||||
\(940\) | 18.4807 | − | 5.66088i | 0.602775 | − | 0.184638i | ||||
\(941\) | −2.71024 | − | 15.3705i | −0.0883513 | − | 0.501065i | −0.996583 | − | 0.0825973i | \(-0.973678\pi\) |
0.908232 | − | 0.418468i | \(-0.137433\pi\) | |||||||
\(942\) | −29.7646 | − | 23.2515i | −0.969782 | − | 0.757574i | ||||
\(943\) | 21.0508 | + | 36.4610i | 0.685507 | + | 1.18733i | ||||
\(944\) | 0.0354485 | − | 0.0297448i | 0.00115375 | − | 0.000968111i | ||||
\(945\) | 2.38351 | + | 44.8550i | 0.0775357 | + | 1.45913i | ||||
\(946\) | 3.29390 | − | 9.04991i | 0.107094 | − | 0.294238i | ||||
\(947\) | −5.13292 | − | 4.30703i | −0.166798 | − | 0.139960i | 0.555568 | − | 0.831471i | \(-0.312501\pi\) |
−0.722366 | + | 0.691511i | \(0.756945\pi\) | |||||||
\(948\) | 6.48978 | − | 19.9779i | 0.210778 | − | 0.648853i | ||||
\(949\) | − | 10.6374i | − | 0.345304i | ||||||
\(950\) | −2.92302 | + | 21.5976i | −0.0948352 | + | 0.700718i | ||||
\(951\) | 29.2143 | + | 4.10386i | 0.947340 | + | 0.133077i | ||||
\(952\) | 2.18872 | − | 12.4129i | 0.0709369 | − | 0.402303i | ||||
\(953\) | −14.7648 | + | 17.5960i | −0.478280 | + | 0.569992i | −0.950197 | − | 0.311651i | \(-0.899118\pi\) |
0.471917 | + | 0.881643i | \(0.343562\pi\) | |||||||
\(954\) | 27.5564 | + | 20.0154i | 0.892170 | + | 0.648021i | ||||
\(955\) | −46.7508 | + | 23.8521i | −1.51282 | + | 0.771834i | ||||
\(956\) | −5.23946 | − | 6.24414i | −0.169456 | − | 0.201950i | ||||
\(957\) | 16.3281 | + | 40.4058i | 0.527812 | + | 1.30613i | ||||
\(958\) | −17.9033 | + | 31.0095i | −0.578430 | + | 1.00187i | ||||
\(959\) | 36.4353 | − | 6.42453i | 1.17656 | − | 0.207459i | ||||
\(960\) | −0.608154 | − | 3.82494i | −0.0196281 | − | 0.123449i | ||||
\(961\) | −13.9905 | + | 24.2322i | −0.451306 | + | 0.781685i | ||||
\(962\) | 2.19643 | − | 1.26811i | 0.0708157 | − | 0.0408854i | ||||
\(963\) | −5.69894 | − | 12.7955i | −0.183646 | − | 0.412330i | ||||
\(964\) | −6.66787 | − | 18.3198i | −0.214758 | − | 0.590042i | ||||
\(965\) | 10.9971 | − | 47.7494i | 0.354008 | − | 1.53711i | ||||
\(966\) | −36.1458 | + | 32.5501i | −1.16297 | + | 1.04728i | ||||
\(967\) | −22.5090 | − | 3.96895i | −0.723842 | − | 0.127633i | −0.200424 | − | 0.979709i | \(-0.564232\pi\) |
−0.523417 | + | 0.852076i | \(0.675343\pi\) | |||||||
\(968\) | − | 5.13976i | − | 0.165198i | ||||||
\(969\) | −23.1650 | − | 8.32384i | −0.744167 | − | 0.267400i | ||||
\(970\) | −30.5590 | + | 3.76868i | −0.981190 | + | 0.121005i | ||||
\(971\) | −3.33320 | + | 18.9035i | −0.106967 | + | 0.606642i | 0.883449 | + | 0.468527i | \(0.155215\pi\) |
−0.990416 | + | 0.138114i | \(0.955896\pi\) | |||||||
\(972\) | −15.3507 | + | 2.71193i | −0.492375 | + | 0.0869853i | ||||
\(973\) | 28.8655 | − | 79.3073i | 0.925385 | − | 2.54247i | ||||
\(974\) | −1.93686 | − | 5.32149i | −0.0620611 | − | 0.170511i | ||||
\(975\) | 5.54820 | + | 5.34574i | 0.177685 | + | 0.171201i | ||||
\(976\) | −1.38361 | − | 2.39648i | −0.0442882 | − | 0.0767094i | ||||
\(977\) | −27.3386 | − | 15.7839i | −0.874639 | − | 0.504973i | −0.00575167 | − | 0.999983i | \(-0.501831\pi\) |
−0.868887 | + | 0.495011i | \(0.835164\pi\) | |||||||
\(978\) | −4.49438 | + | 0.157242i | −0.143714 | + | 0.00502804i | ||||
\(979\) | −33.5985 | + | 5.92432i | −1.07381 | + | 0.189342i | ||||
\(980\) | −16.3581 | − | 6.93334i | −0.522541 | − | 0.221477i | ||||
\(981\) | 21.0332 | − | 5.24710i | 0.671540 | − | 0.167527i | ||||
\(982\) | 25.6893 | − | 21.5559i | 0.819778 | − | 0.687876i | ||||
\(983\) | 8.67049 | + | 23.8220i | 0.276546 | + | 0.759803i | 0.997748 | + | 0.0670780i | \(0.0213676\pi\) |
−0.721202 | + | 0.692725i | \(0.756410\pi\) | |||||||
\(984\) | −8.86371 | − | 4.71217i | −0.282565 | − | 0.150219i | ||||
\(985\) | 14.7644 | − | 22.7616i | 0.470432 | − | 0.725246i | ||||
\(986\) | −20.1093 | − | 3.54580i | −0.640409 | − | 0.112921i | ||||
\(987\) | 57.3168 | + | 8.05153i | 1.82441 | + | 0.256283i | ||||
\(988\) | −2.04165 | + | 3.29688i | −0.0649534 | + | 0.104888i | ||||
\(989\) | − | 17.4142i | − | 0.553739i | ||||||
\(990\) | −25.4873 | − | 8.75709i | −0.810040 | − | 0.278318i | ||||
\(991\) | −32.7724 | + | 39.0566i | −1.04105 | + | 1.24067i | −0.0710725 | + | 0.997471i | \(0.522642\pi\) |
−0.969976 | + | 0.243202i | \(0.921802\pi\) | |||||||
\(992\) | −1.63274 | − | 0.594270i | −0.0518397 | − | 0.0188681i | ||||
\(993\) | −10.1587 | + | 2.16000i | −0.322378 | + | 0.0685456i | ||||
\(994\) | 37.6667 | − | 31.6062i | 1.19472 | − | 1.00249i | ||||
\(995\) | −16.6447 | + | 12.5566i | −0.527673 | + | 0.398071i | ||||
\(996\) | 4.11264 | + | 3.21271i | 0.130314 | + | 0.101799i | ||||
\(997\) | −30.4828 | + | 5.37494i | −0.965400 | + | 0.170226i | −0.634059 | − | 0.773285i | \(-0.718612\pi\) |
−0.331342 | + | 0.943511i | \(0.607501\pi\) | |||||||
\(998\) | 35.1723 | − | 6.20183i | 1.11336 | − | 0.196316i | ||||
\(999\) | 8.70944 | + | 11.9826i | 0.275554 | + | 0.379111i |
(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 | 570.2.bf.a.59.16 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.59.27 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.59.25 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.59.14 | yes | 240 | |
19.10 | odd | 18 | inner | 570.2.bf.a.29.14 | ✓ | 240 | |
57.29 | even | 18 | inner | 570.2.bf.a.29.25 | yes | 240 | |
95.29 | odd | 18 | inner | 570.2.bf.a.29.27 | yes | 240 | |
285.29 | even | 18 | inner | 570.2.bf.a.29.16 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.14 | ✓ | 240 | 19.10 | odd | 18 | inner | |
570.2.bf.a.29.16 | yes | 240 | 285.29 | even | 18 | inner | |
570.2.bf.a.29.25 | yes | 240 | 57.29 | even | 18 | inner | |
570.2.bf.a.29.27 | yes | 240 | 95.29 | odd | 18 | inner | |
570.2.bf.a.59.14 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.59.16 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.59.25 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.27 | yes | 240 | 3.2 | odd | 2 | inner |