Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 233.10 | ||
Character | \(\chi\) | \(=\) | 570.233 |
Dual form | 570.2.bi.a.137.10 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.906308 | − | 0.422618i | −0.640856 | − | 0.298836i | ||||
\(3\) | −0.0197421 | + | 1.73194i | −0.0113981 | + | 0.999935i | ||||
\(4\) | 0.642788 | + | 0.766044i | 0.321394 | + | 0.383022i | ||||
\(5\) | 1.82764 | + | 1.28830i | 0.817347 | + | 0.576146i | ||||
\(6\) | 0.749841 | − | 1.56133i | 0.306121 | − | 0.637409i | ||||
\(7\) | −2.23592 | − | 0.599112i | −0.845097 | − | 0.226443i | −0.189808 | − | 0.981821i | \(-0.560787\pi\) |
−0.655289 | + | 0.755378i | \(0.727453\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | −2.99922 | − | 0.0683842i | −0.999740 | − | 0.0227947i | ||||
\(10\) | −1.11195 | − | 1.93999i | −0.351628 | − | 0.613480i | ||||
\(11\) | −4.47974 | − | 2.58638i | −1.35069 | − | 0.779822i | −0.362345 | − | 0.932044i | \(-0.618024\pi\) |
−0.988346 | + | 0.152222i | \(0.951357\pi\) | |||||||
\(12\) | −1.33943 | + | 1.09815i | −0.386661 | + | 0.317007i | ||||
\(13\) | −3.32596 | + | 4.74996i | −0.922454 | + | 1.31740i | 0.0257261 | + | 0.999669i | \(0.491810\pi\) |
−0.948180 | + | 0.317732i | \(0.897079\pi\) | |||||||
\(14\) | 1.77323 | + | 1.48792i | 0.473916 | + | 0.397663i | ||||
\(15\) | −2.26734 | + | 3.13993i | −0.585425 | + | 0.810727i | ||||
\(16\) | −0.173648 | + | 0.984808i | −0.0434120 | + | 0.246202i | ||||
\(17\) | −3.71246 | − | 1.73115i | −0.900405 | − | 0.419866i | −0.0834129 | − | 0.996515i | \(-0.526582\pi\) |
−0.816992 | + | 0.576650i | \(0.804360\pi\) | |||||||
\(18\) | 2.68932 | + | 1.32950i | 0.633878 | + | 0.313367i | ||||
\(19\) | 4.35033 | + | 0.273142i | 0.998035 | + | 0.0626631i | ||||
\(20\) | 0.187889 | + | 2.22816i | 0.0420134 | + | 0.498232i | ||||
\(21\) | 1.08177 | − | 3.86064i | 0.236061 | − | 0.842461i | ||||
\(22\) | 2.96697 | + | 4.23727i | 0.632560 | + | 0.903389i | ||||
\(23\) | 0.253139 | − | 2.89339i | 0.0527830 | − | 0.603313i | −0.923033 | − | 0.384720i | \(-0.874298\pi\) |
0.975816 | − | 0.218593i | \(-0.0701466\pi\) | |||||||
\(24\) | 1.67803 | − | 0.429189i | 0.342527 | − | 0.0876079i | ||||
\(25\) | 1.68056 | + | 4.70911i | 0.336111 | + | 0.941822i | ||||
\(26\) | 5.02176 | − | 2.89931i | 0.984848 | − | 0.568602i | ||||
\(27\) | 0.177648 | − | 5.19311i | 0.0341884 | − | 0.999415i | ||||
\(28\) | −0.978273 | − | 2.09791i | −0.184876 | − | 0.396468i | ||||
\(29\) | −3.37172 | − | 1.22720i | −0.626112 | − | 0.227886i | 0.00942624 | − | 0.999956i | \(-0.496999\pi\) |
−0.635538 | + | 0.772069i | \(0.719222\pi\) | |||||||
\(30\) | 3.38190 | − | 1.88752i | 0.617448 | − | 0.344613i | ||||
\(31\) | −2.06984 | − | 3.58508i | −0.371755 | − | 0.643899i | 0.618081 | − | 0.786115i | \(-0.287911\pi\) |
−0.989836 | + | 0.142216i | \(0.954577\pi\) | |||||||
\(32\) | 0.573576 | − | 0.819152i | 0.101395 | − | 0.144807i | ||||
\(33\) | 4.56788 | − | 7.70756i | 0.795166 | − | 1.34171i | ||||
\(34\) | 2.63302 | + | 3.13791i | 0.451559 | + | 0.538147i | ||||
\(35\) | −3.31462 | − | 3.97550i | −0.560273 | − | 0.671982i | ||||
\(36\) | −1.87548 | − | 2.34149i | −0.312579 | − | 0.390249i | ||||
\(37\) | −4.36608 | + | 4.36608i | −0.717779 | + | 0.717779i | −0.968150 | − | 0.250371i | \(-0.919447\pi\) |
0.250371 | + | 0.968150i | \(0.419447\pi\) | |||||||
\(38\) | −3.82731 | − | 2.08608i | −0.620871 | − | 0.338407i | ||||
\(39\) | −8.16097 | − | 5.85413i | −1.30680 | − | 0.937410i | ||||
\(40\) | 0.771375 | − | 2.09880i | 0.121965 | − | 0.331850i | ||||
\(41\) | 5.60496 | + | 0.988305i | 0.875347 | + | 0.154347i | 0.593230 | − | 0.805033i | \(-0.297852\pi\) |
0.282117 | + | 0.959380i | \(0.408963\pi\) | |||||||
\(42\) | −2.61199 | + | 3.04176i | −0.403039 | + | 0.469353i | ||||
\(43\) | 0.946125 | + | 10.8143i | 0.144283 | + | 1.64916i | 0.631134 | + | 0.775674i | \(0.282590\pi\) |
−0.486852 | + | 0.873485i | \(0.661855\pi\) | |||||||
\(44\) | −0.898239 | − | 5.09417i | −0.135415 | − | 0.767975i | ||||
\(45\) | −5.39340 | − | 3.98888i | −0.804001 | − | 0.594628i | ||||
\(46\) | −1.45222 | + | 2.51532i | −0.214118 | + | 0.370863i | ||||
\(47\) | 0.232938 | + | 0.499537i | 0.0339775 | + | 0.0728649i | 0.922564 | − | 0.385844i | \(-0.126090\pi\) |
−0.888586 | + | 0.458709i | \(0.848312\pi\) | |||||||
\(48\) | −1.70220 | − | 0.320190i | −0.245691 | − | 0.0462155i | ||||
\(49\) | −1.42179 | − | 0.820871i | −0.203113 | − | 0.117267i | ||||
\(50\) | 0.467056 | − | 4.97814i | 0.0660517 | − | 0.704015i | ||||
\(51\) | 3.07154 | − | 6.39558i | 0.430101 | − | 0.895560i | ||||
\(52\) | −5.77656 | + | 0.505384i | −0.801065 | + | 0.0700841i | ||||
\(53\) | −0.614888 | + | 7.02820i | −0.0844613 | + | 0.965397i | 0.829208 | + | 0.558940i | \(0.188792\pi\) |
−0.913670 | + | 0.406458i | \(0.866764\pi\) | |||||||
\(54\) | −2.35571 | + | 4.63148i | −0.320571 | + | 0.630265i | ||||
\(55\) | −4.85532 | − | 10.4982i | −0.654691 | − | 1.41558i | ||||
\(56\) | 2.31479i | 0.309327i | ||||||||
\(57\) | −0.558950 | + | 7.52912i | −0.0740348 | + | 0.997256i | ||||
\(58\) | 2.53717 | + | 2.53717i | 0.333147 | + | 0.333147i | ||||
\(59\) | −3.30604 | + | 1.20330i | −0.430409 | + | 0.156656i | −0.548135 | − | 0.836390i | \(-0.684662\pi\) |
0.117726 | + | 0.993046i | \(0.462440\pi\) | |||||||
\(60\) | −3.86275 | + | 0.281424i | −0.498678 | + | 0.0363317i | ||||
\(61\) | −4.90968 | + | 4.11971i | −0.628620 | + | 0.527475i | −0.900500 | − | 0.434856i | \(-0.856799\pi\) |
0.271880 | + | 0.962331i | \(0.412355\pi\) | |||||||
\(62\) | 0.360798 | + | 4.12394i | 0.0458213 | + | 0.523740i | ||||
\(63\) | 6.66504 | + | 1.94977i | 0.839716 | + | 0.245648i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −12.1980 | + | 4.39639i | −1.51298 | + | 0.545305i | ||||
\(66\) | −7.39727 | + | 5.05495i | −0.910541 | + | 0.622222i | ||||
\(67\) | 11.0121 | − | 5.13504i | 1.34534 | − | 0.627345i | 0.389448 | − | 0.921048i | \(-0.372666\pi\) |
0.955897 | + | 0.293704i | \(0.0948879\pi\) | |||||||
\(68\) | −1.06019 | − | 3.95667i | −0.128567 | − | 0.479817i | ||||
\(69\) | 5.00617 | + | 0.495542i | 0.602672 | + | 0.0596562i | ||||
\(70\) | 1.32395 | + | 5.00384i | 0.158242 | + | 0.598074i | ||||
\(71\) | 4.62681 | − | 5.51402i | 0.549101 | − | 0.654393i | −0.418101 | − | 0.908401i | \(-0.637304\pi\) |
0.967202 | + | 0.254007i | \(0.0817487\pi\) | |||||||
\(72\) | 0.710201 | + | 2.91472i | 0.0836980 | + | 0.343503i | ||||
\(73\) | −7.92870 | + | 5.55173i | −0.927984 | + | 0.649781i | −0.936682 | − | 0.350181i | \(-0.886120\pi\) |
0.00869809 | + | 0.999962i | \(0.497231\pi\) | |||||||
\(74\) | 5.80220 | − | 2.11183i | 0.674492 | − | 0.245495i | ||||
\(75\) | −8.18907 | + | 2.81765i | −0.945592 | + | 0.325354i | ||||
\(76\) | 2.58710 | + | 3.50812i | 0.296761 | + | 0.402409i | ||||
\(77\) | 8.46679 | + | 8.46679i | 0.964880 | + | 0.964880i | ||||
\(78\) | 4.92229 | + | 8.75462i | 0.557340 | + | 0.991265i | ||||
\(79\) | −0.848542 | − | 0.149621i | −0.0954684 | − | 0.0168337i | 0.125710 | − | 0.992067i | \(-0.459879\pi\) |
−0.221178 | + | 0.975233i | \(0.570990\pi\) | |||||||
\(80\) | −1.58610 | + | 1.57617i | −0.177331 | + | 0.176221i | ||||
\(81\) | 8.99065 | + | 0.410198i | 0.998961 | + | 0.0455776i | ||||
\(82\) | −4.66214 | − | 3.26447i | −0.514847 | − | 0.360500i | ||||
\(83\) | −16.6569 | − | 4.46320i | −1.82833 | − | 0.489900i | −0.830578 | − | 0.556902i | \(-0.811990\pi\) |
−0.997753 | + | 0.0670023i | \(0.978657\pi\) | |||||||
\(84\) | 3.65277 | − | 1.65289i | 0.398550 | − | 0.180345i | ||||
\(85\) | −4.55481 | − | 7.94670i | −0.494039 | − | 0.861940i | ||||
\(86\) | 3.71282 | − | 10.2009i | 0.400364 | − | 1.09999i | ||||
\(87\) | 2.19201 | − | 5.81538i | 0.235008 | − | 0.623474i | ||||
\(88\) | −1.33881 | + | 4.99650i | −0.142717 | + | 0.532628i | ||||
\(89\) | −1.20696 | − | 6.84502i | −0.127938 | − | 0.725570i | −0.979520 | − | 0.201349i | \(-0.935468\pi\) |
0.851582 | − | 0.524221i | \(-0.175644\pi\) | |||||||
\(90\) | 3.20231 | + | 5.89451i | 0.337553 | + | 0.621336i | ||||
\(91\) | 10.2823 | − | 8.62789i | 1.07788 | − | 0.904449i | ||||
\(92\) | 2.37918 | − | 1.66592i | 0.248046 | − | 0.173684i | ||||
\(93\) | 6.24999 | − | 3.51407i | 0.648094 | − | 0.364392i | ||||
\(94\) | − | 0.551178i | − | 0.0568496i | ||||||
\(95\) | 7.59896 | + | 6.10375i | 0.779637 | + | 0.626231i | ||||
\(96\) | 1.40740 | + | 1.00957i | 0.143642 | + | 0.103039i | ||||
\(97\) | −3.47002 | + | 7.44149i | −0.352328 | + | 0.755569i | −0.999980 | − | 0.00636721i | \(-0.997973\pi\) |
0.647652 | + | 0.761936i | \(0.275751\pi\) | |||||||
\(98\) | 0.941664 | + | 1.34484i | 0.0951225 | + | 0.135849i | ||||
\(99\) | 13.2588 | + | 8.06346i | 1.33256 | + | 0.810408i | ||||
\(100\) | −2.52715 | + | 4.31434i | −0.252715 | + | 0.431434i | ||||
\(101\) | −3.02182 | + | 0.532828i | −0.300682 | + | 0.0530184i | −0.321954 | − | 0.946755i | \(-0.604340\pi\) |
0.0212718 | + | 0.999774i | \(0.493228\pi\) | |||||||
\(102\) | −5.48665 | + | 4.49828i | −0.543259 | + | 0.445396i | ||||
\(103\) | 6.12774 | − | 1.64192i | 0.603785 | − | 0.161784i | 0.0560391 | − | 0.998429i | \(-0.482153\pi\) |
0.547746 | + | 0.836645i | \(0.315486\pi\) | |||||||
\(104\) | 5.44893 | + | 1.98325i | 0.534311 | + | 0.194473i | ||||
\(105\) | 6.95076 | − | 5.66223i | 0.678324 | − | 0.552577i | ||||
\(106\) | 3.52752 | − | 6.10985i | 0.342623 | − | 0.593441i | ||||
\(107\) | −4.85015 | + | 18.1010i | −0.468882 | + | 1.74989i | 0.174806 | + | 0.984603i | \(0.444070\pi\) |
−0.643688 | + | 0.765288i | \(0.722596\pi\) | |||||||
\(108\) | 4.09235 | − | 3.20198i | 0.393786 | − | 0.308111i | ||||
\(109\) | −2.25897 | + | 2.69213i | −0.216370 | + | 0.257859i | −0.863302 | − | 0.504688i | \(-0.831607\pi\) |
0.646932 | + | 0.762548i | \(0.276052\pi\) | |||||||
\(110\) | −0.0363253 | + | 11.5666i | −0.00346348 | + | 1.10283i | ||||
\(111\) | −7.47558 | − | 7.64797i | −0.709551 | − | 0.725914i | ||||
\(112\) | 0.978273 | − | 2.09791i | 0.0924381 | − | 0.198234i | ||||
\(113\) | 5.50212 | − | 5.50212i | 0.517596 | − | 0.517596i | −0.399248 | − | 0.916843i | \(-0.630729\pi\) |
0.916843 | + | 0.399248i | \(0.130729\pi\) | |||||||
\(114\) | 3.68852 | − | 6.58747i | 0.345462 | − | 0.616973i | ||||
\(115\) | 4.19020 | − | 4.96196i | 0.390738 | − | 0.462705i | ||||
\(116\) | −1.22720 | − | 3.37172i | −0.113943 | − | 0.313056i | ||||
\(117\) | 10.3001 | − | 14.0187i | 0.952245 | − | 1.29603i | ||||
\(118\) | 3.50482 | + | 0.306632i | 0.322645 | + | 0.0282278i | ||||
\(119\) | 7.26360 | + | 6.09489i | 0.665854 | + | 0.558717i | ||||
\(120\) | 3.61977 | + | 1.37741i | 0.330438 | + | 0.125740i | ||||
\(121\) | 7.87869 | + | 13.6463i | 0.716244 | + | 1.24057i | ||||
\(122\) | 6.19075 | − | 1.65881i | 0.560484 | − | 0.150181i | ||||
\(123\) | −1.82234 | + | 9.68793i | −0.164315 | + | 0.873531i | ||||
\(124\) | 1.41586 | − | 3.89003i | 0.127148 | − | 0.349335i | ||||
\(125\) | −2.99530 | + | 10.7716i | −0.267908 | + | 0.963445i | ||||
\(126\) | −5.21657 | − | 4.58386i | −0.464729 | − | 0.408363i | ||||
\(127\) | −5.12591 | − | 3.58920i | −0.454851 | − | 0.318490i | 0.323602 | − | 0.946193i | \(-0.395106\pi\) |
−0.778453 | + | 0.627703i | \(0.783995\pi\) | |||||||
\(128\) | 0.996195 | − | 0.0871557i | 0.0880520 | − | 0.00770355i | ||||
\(129\) | −18.7483 | + | 1.42513i | −1.65070 | + | 0.125476i | ||||
\(130\) | 12.9132 | + | 1.17063i | 1.13256 | + | 0.102671i | ||||
\(131\) | 6.73041 | + | 18.4916i | 0.588038 | + | 1.61562i | 0.774086 | + | 0.633081i | \(0.218210\pi\) |
−0.186047 | + | 0.982541i | \(0.559568\pi\) | |||||||
\(132\) | 8.84052 | − | 1.45513i | 0.769468 | − | 0.126652i | ||||
\(133\) | −9.56334 | − | 3.21706i | −0.829247 | − | 0.278954i | ||||
\(134\) | −12.1505 | −1.04965 | ||||||||
\(135\) | 7.01498 | − | 9.26229i | 0.603753 | − | 0.797171i | ||||
\(136\) | −0.711306 | + | 4.03402i | −0.0609940 | + | 0.345914i | ||||
\(137\) | 3.24428 | + | 0.283838i | 0.277177 | + | 0.0242499i | 0.224897 | − | 0.974383i | \(-0.427795\pi\) |
0.0522805 | + | 0.998632i | \(0.483351\pi\) | |||||||
\(138\) | −4.32771 | − | 2.56481i | −0.368399 | − | 0.218331i | ||||
\(139\) | −0.515750 | + | 0.0909406i | −0.0437453 | + | 0.00771348i | −0.195478 | − | 0.980708i | \(-0.562626\pi\) |
0.151733 | + | 0.988422i | \(0.451515\pi\) | |||||||
\(140\) | 0.914812 | − | 5.09455i | 0.0773158 | − | 0.430568i | ||||
\(141\) | −0.869765 | + | 0.393572i | −0.0732474 | + | 0.0331447i | ||||
\(142\) | −6.52364 | + | 3.04202i | −0.547452 | + | 0.255281i | ||||
\(143\) | 27.1846 | − | 12.6764i | 2.27329 | − | 1.06005i | ||||
\(144\) | 0.588154 | − | 2.94178i | 0.0490129 | − | 0.245148i | ||||
\(145\) | −4.58128 | − | 6.58668i | −0.380455 | − | 0.546994i | ||||
\(146\) | 9.53211 | − | 1.68077i | 0.788883 | − | 0.139101i | ||||
\(147\) | 1.44977 | − | 2.44625i | 0.119575 | − | 0.201763i | ||||
\(148\) | −6.15107 | − | 0.538149i | −0.505615 | − | 0.0442356i | ||||
\(149\) | 0.700477 | − | 3.97260i | 0.0573853 | − | 0.325448i | −0.942578 | − | 0.333985i | \(-0.891606\pi\) |
0.999964 | + | 0.00853717i | \(0.00271750\pi\) | |||||||
\(150\) | 8.61261 | + | 0.907191i | 0.703216 | + | 0.0740718i | ||||
\(151\) | 5.20148 | 0.423290 | 0.211645 | − | 0.977347i | \(-0.432118\pi\) | ||||
0.211645 | + | 0.977347i | \(0.432118\pi\) | |||||||
\(152\) | −0.862114 | − | 4.27279i | −0.0699267 | − | 0.346569i | ||||
\(153\) | 11.0161 | + | 5.44597i | 0.890600 | + | 0.440281i | ||||
\(154\) | −4.09530 | − | 11.2517i | −0.330008 | − | 0.906690i | ||||
\(155\) | 0.835724 | − | 9.21882i | 0.0671270 | − | 0.740474i | ||||
\(156\) | −0.761252 | − | 10.0146i | −0.0609489 | − | 0.801812i | ||||
\(157\) | −1.96743 | + | 0.172128i | −0.157018 | + | 0.0137373i | −0.165394 | − | 0.986228i | \(-0.552890\pi\) |
0.00837553 | + | 0.999965i | \(0.497334\pi\) | |||||||
\(158\) | 0.705808 | + | 0.494212i | 0.0561510 | + | 0.0393174i | ||||
\(159\) | −12.1603 | − | 1.20370i | −0.964372 | − | 0.0954595i | ||||
\(160\) | 2.10361 | − | 0.758178i | 0.166305 | − | 0.0599392i | ||||
\(161\) | −2.29946 | + | 6.31771i | −0.181223 | + | 0.497906i | ||||
\(162\) | −7.97494 | − | 4.17138i | −0.626570 | − | 0.327734i | ||||
\(163\) | 11.9914 | − | 3.21309i | 0.939240 | − | 0.251669i | 0.243449 | − | 0.969914i | \(-0.421721\pi\) |
0.695790 | + | 0.718245i | \(0.255054\pi\) | |||||||
\(164\) | 2.84571 | + | 4.92892i | 0.222213 | + | 0.384884i | ||||
\(165\) | 18.2781 | − | 8.20186i | 1.42295 | − | 0.638514i | ||||
\(166\) | 13.2100 | + | 11.0845i | 1.02530 | + | 0.860327i | ||||
\(167\) | −0.0725230 | − | 0.00634494i | −0.00561200 | − | 0.000490986i | 0.0843494 | − | 0.996436i | \(-0.473119\pi\) |
−0.0899614 | + | 0.995945i | \(0.528674\pi\) | |||||||
\(168\) | −4.00908 | − | 0.0456988i | −0.309307 | − | 0.00352574i | ||||
\(169\) | −7.05385 | − | 19.3803i | −0.542604 | − | 1.49079i | ||||
\(170\) | 0.769642 | + | 9.12710i | 0.0590289 | + | 0.700017i | ||||
\(171\) | −13.0289 | − | 1.11671i | −0.996347 | − | 0.0853968i | ||||
\(172\) | −7.67604 | + | 7.67604i | −0.585293 | + | 0.585293i | ||||
\(173\) | −5.41205 | + | 11.6062i | −0.411470 | + | 0.882401i | 0.585932 | + | 0.810361i | \(0.300729\pi\) |
−0.997402 | + | 0.0720401i | \(0.977049\pi\) | |||||||
\(174\) | −4.44432 | + | 4.34414i | −0.336923 | + | 0.329328i | ||||
\(175\) | −0.936297 | − | 11.5360i | −0.0707774 | − | 0.872041i | ||||
\(176\) | 3.32498 | − | 3.96256i | 0.250630 | − | 0.298689i | ||||
\(177\) | −2.01877 | − | 5.74960i | −0.151740 | − | 0.432167i | ||||
\(178\) | −1.79895 | + | 6.71378i | −0.134837 | + | 0.503219i | ||||
\(179\) | 6.93997 | − | 12.0204i | 0.518717 | − | 0.898445i | −0.481046 | − | 0.876695i | \(-0.659743\pi\) |
0.999763 | − | 0.0217495i | \(-0.00692364\pi\) | |||||||
\(180\) | −0.411151 | − | 6.69559i | −0.0306454 | − | 0.499060i | ||||
\(181\) | 22.2735 | + | 8.10689i | 1.65558 | + | 0.602580i | 0.989658 | − | 0.143445i | \(-0.0458179\pi\) |
0.665918 | + | 0.746025i | \(0.268040\pi\) | |||||||
\(182\) | −12.9652 | + | 3.47403i | −0.961048 | + | 0.257512i | ||||
\(183\) | −7.03816 | − | 8.58460i | −0.520276 | − | 0.634592i | ||||
\(184\) | −2.86031 | + | 0.504351i | −0.210865 | + | 0.0371812i | ||||
\(185\) | −13.6045 | + | 2.35480i | −1.00022 | + | 0.173129i | ||||
\(186\) | −7.14952 | + | 0.543464i | −0.524229 | + | 0.0398487i | ||||
\(187\) | 12.1534 | + | 17.3569i | 0.888748 | + | 1.26926i | ||||
\(188\) | −0.232938 | + | 0.499537i | −0.0169887 | + | 0.0364324i | ||||
\(189\) | −3.50846 | + | 11.5049i | −0.255203 | + | 0.836861i | ||||
\(190\) | −4.30744 | − | 8.74334i | −0.312495 | − | 0.634308i | ||||
\(191\) | 5.89868i | 0.426813i | 0.976963 | + | 0.213407i | \(0.0684560\pi\) | ||||
−0.976963 | + | 0.213407i | \(0.931544\pi\) | |||||||
\(192\) | −0.848872 | − | 1.50977i | −0.0612621 | − | 0.108959i | ||||
\(193\) | 4.21429 | − | 2.95088i | 0.303351 | − | 0.212409i | −0.411982 | − | 0.911192i | \(-0.635164\pi\) |
0.715334 | + | 0.698783i | \(0.246275\pi\) | |||||||
\(194\) | 6.28982 | − | 5.27779i | 0.451583 | − | 0.378923i | ||||
\(195\) | −7.37346 | − | 21.2130i | −0.528025 | − | 1.51910i | ||||
\(196\) | −0.285085 | − | 1.61680i | −0.0203632 | − | 0.115486i | ||||
\(197\) | −3.67348 | + | 13.7096i | −0.261724 | + | 0.976769i | 0.702500 | + | 0.711683i | \(0.252067\pi\) |
−0.964225 | + | 0.265086i | \(0.914600\pi\) | |||||||
\(198\) | −8.60883 | − | 12.9114i | −0.611803 | − | 0.917574i | ||||
\(199\) | −7.74313 | + | 21.2741i | −0.548896 | + | 1.50808i | 0.286307 | + | 0.958138i | \(0.407572\pi\) |
−0.835203 | + | 0.549941i | \(0.814650\pi\) | |||||||
\(200\) | 4.11369 | − | 2.84210i | 0.290882 | − | 0.200967i | ||||
\(201\) | 8.67616 | + | 19.1737i | 0.611969 | + | 1.35241i | ||||
\(202\) | 2.96388 | + | 0.794169i | 0.208538 | + | 0.0558775i | ||||
\(203\) | 6.80364 | + | 4.76396i | 0.477522 | + | 0.334365i | ||||
\(204\) | 6.87364 | − | 1.75807i | 0.481251 | − | 0.123089i | ||||
\(205\) | 8.97062 | + | 9.02715i | 0.626536 | + | 0.630483i | ||||
\(206\) | −6.24753 | − | 1.10161i | −0.435286 | − | 0.0767527i | ||||
\(207\) | −0.957080 | + | 8.66060i | −0.0665217 | + | 0.601953i | ||||
\(208\) | −4.10025 | − | 4.10025i | −0.284301 | − | 0.284301i | ||||
\(209\) | −18.7819 | − | 12.4752i | −1.29917 | − | 0.862928i | ||||
\(210\) | −8.69249 | + | 2.19421i | −0.599839 | + | 0.151415i | ||||
\(211\) | −1.04348 | + | 0.379797i | −0.0718363 | + | 0.0261463i | −0.377688 | − | 0.925933i | \(-0.623281\pi\) |
0.305852 | + | 0.952079i | \(0.401059\pi\) | |||||||
\(212\) | −5.77915 | + | 4.04661i | −0.396914 | + | 0.277922i | ||||
\(213\) | 9.45859 | + | 8.12221i | 0.648092 | + | 0.556524i | ||||
\(214\) | 12.0456 | − | 14.3553i | 0.823417 | − | 0.981310i | ||||
\(215\) | −12.2028 | + | 20.9835i | −0.832227 | + | 1.43106i | ||||
\(216\) | −5.06214 | + | 1.17248i | −0.344435 | + | 0.0797773i | ||||
\(217\) | 2.48014 | + | 9.25600i | 0.168363 | + | 0.628338i | ||||
\(218\) | 3.18506 | − | 1.48522i | 0.215720 | − | 0.100592i | ||||
\(219\) | −9.45873 | − | 13.8416i | −0.639162 | − | 0.935330i | ||||
\(220\) | 4.92117 | − | 10.4675i | 0.331785 | − | 0.705720i | ||||
\(221\) | 20.5704 | − | 11.8763i | 1.38371 | − | 0.798887i | ||||
\(222\) | 3.54301 | + | 10.0907i | 0.237791 | + | 0.677246i | ||||
\(223\) | −1.81795 | − | 20.7792i | −0.121739 | − | 1.39148i | −0.773855 | − | 0.633362i | \(-0.781674\pi\) |
0.652117 | − | 0.758119i | \(-0.273881\pi\) | |||||||
\(224\) | −1.77323 | + | 1.48792i | −0.118479 | + | 0.0994158i | ||||
\(225\) | −4.71833 | − | 14.2386i | −0.314555 | − | 0.949239i | ||||
\(226\) | −7.31191 | + | 2.66132i | −0.486381 | + | 0.177028i | ||||
\(227\) | 1.75161 | + | 1.75161i | 0.116259 | + | 0.116259i | 0.762843 | − | 0.646584i | \(-0.223803\pi\) |
−0.646584 | + | 0.762843i | \(0.723803\pi\) | |||||||
\(228\) | −6.12692 | + | 4.41144i | −0.405765 | + | 0.292155i | ||||
\(229\) | 28.3541i | 1.87369i | 0.349742 | + | 0.936846i | \(0.386269\pi\) | ||||
−0.349742 | + | 0.936846i | \(0.613731\pi\) | |||||||
\(230\) | −5.89463 | + | 2.72621i | −0.388680 | + | 0.179761i | ||||
\(231\) | −14.8311 | + | 14.4968i | −0.975815 | + | 0.953819i | ||||
\(232\) | −0.312724 | + | 3.57445i | −0.0205313 | + | 0.234674i | ||||
\(233\) | 19.5758 | − | 1.71266i | 1.28245 | − | 0.112200i | 0.574527 | − | 0.818486i | \(-0.305186\pi\) |
0.707927 | + | 0.706286i | \(0.249631\pi\) | |||||||
\(234\) | −15.2596 | + | 8.35227i | −0.997553 | + | 0.546005i | ||||
\(235\) | −0.217827 | + | 1.21307i | −0.0142095 | + | 0.0791319i | ||||
\(236\) | −3.04686 | − | 1.75910i | −0.198334 | − | 0.114508i | ||||
\(237\) | 0.275886 | − | 1.46667i | 0.0179207 | − | 0.0952704i | ||||
\(238\) | −4.00725 | − | 8.59358i | −0.259751 | − | 0.557039i | ||||
\(239\) | −9.44652 | + | 16.3619i | −0.611045 | + | 1.05836i | 0.380020 | + | 0.924978i | \(0.375917\pi\) |
−0.991065 | + | 0.133382i | \(0.957416\pi\) | |||||||
\(240\) | −2.69851 | − | 2.77814i | −0.174188 | − | 0.179328i | ||||
\(241\) | −2.11022 | − | 11.9677i | −0.135932 | − | 0.770906i | −0.974207 | − | 0.225658i | \(-0.927547\pi\) |
0.838275 | − | 0.545248i | \(-0.183564\pi\) | |||||||
\(242\) | −1.37335 | − | 15.6974i | −0.0882820 | − | 1.00907i | ||||
\(243\) | −0.887933 | + | 15.5631i | −0.0569609 | + | 0.998376i | ||||
\(244\) | −6.31176 | − | 1.11293i | −0.404069 | − | 0.0712483i | ||||
\(245\) | −1.54099 | − | 3.33195i | −0.0984505 | − | 0.212871i | ||||
\(246\) | 5.74589 | − | 8.01009i | 0.366345 | − | 0.510705i | ||||
\(247\) | −15.7664 | + | 19.7554i | −1.00319 | + | 1.25701i | ||||
\(248\) | −2.92720 | + | 2.92720i | −0.185877 | + | 0.185877i | ||||
\(249\) | 8.05883 | − | 28.7606i | 0.510707 | − | 1.82263i | ||||
\(250\) | 7.26696 | − | 8.49655i | 0.459603 | − | 0.537369i | ||||
\(251\) | −7.18179 | − | 8.55893i | −0.453311 | − | 0.540235i | 0.490185 | − | 0.871618i | \(-0.336929\pi\) |
−0.943496 | + | 0.331383i | \(0.892485\pi\) | |||||||
\(252\) | 2.79059 | + | 6.35900i | 0.175791 | + | 0.400580i | ||||
\(253\) | −8.61738 | + | 12.3069i | −0.541770 | + | 0.773728i | ||||
\(254\) | 3.12879 | + | 5.41923i | 0.196318 | + | 0.340033i | ||||
\(255\) | 13.8531 | − | 7.73177i | 0.867515 | − | 0.484182i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 0.278253 | + | 0.596715i | 0.0173569 | + | 0.0372221i | 0.914795 | − | 0.403918i | \(-0.132352\pi\) |
−0.897438 | + | 0.441140i | \(0.854574\pi\) | |||||||
\(258\) | 17.5940 | + | 6.63176i | 1.09536 | + | 0.412876i | ||||
\(259\) | 12.3780 | − | 7.14642i | 0.769129 | − | 0.444057i | ||||
\(260\) | −11.2086 | − | 6.51830i | −0.695127 | − | 0.404248i | ||||
\(261\) | 10.0286 | + | 3.91123i | 0.620755 | + | 0.242099i | ||||
\(262\) | 1.71508 | − | 19.6035i | 0.105958 | − | 1.21111i | ||||
\(263\) | −12.8267 | − | 18.3184i | −0.790926 | − | 1.12956i | −0.988787 | − | 0.149330i | \(-0.952288\pi\) |
0.197861 | − | 0.980230i | \(-0.436600\pi\) | |||||||
\(264\) | −8.62719 | − | 2.41737i | −0.530967 | − | 0.148779i | ||||
\(265\) | −10.1782 | + | 12.0529i | −0.625244 | + | 0.740402i | ||||
\(266\) | 7.30774 | + | 6.95729i | 0.448066 | + | 0.426579i | ||||
\(267\) | 11.8790 | − | 1.95525i | 0.726981 | − | 0.119659i | ||||
\(268\) | 11.0121 | + | 5.13504i | 0.672672 | + | 0.313672i | ||||
\(269\) | 3.24394 | − | 18.3973i | 0.197786 | − | 1.12170i | −0.710608 | − | 0.703588i | \(-0.751580\pi\) |
0.908395 | − | 0.418114i | \(-0.137309\pi\) | |||||||
\(270\) | −10.2721 | + | 5.42983i | −0.625143 | + | 0.330449i | ||||
\(271\) | −14.9483 | − | 12.5431i | −0.908042 | − | 0.761938i | 0.0637034 | − | 0.997969i | \(-0.479709\pi\) |
−0.971746 | + | 0.236031i | \(0.924153\pi\) | |||||||
\(272\) | 2.34951 | − | 3.35545i | 0.142460 | − | 0.203454i | ||||
\(273\) | 14.7400 | + | 17.9787i | 0.892104 | + | 1.08812i | ||||
\(274\) | −2.82036 | − | 1.62834i | −0.170384 | − | 0.0983713i | ||||
\(275\) | 4.65109 | − | 25.4421i | 0.280471 | − | 1.53422i | ||||
\(276\) | 2.83830 | + | 4.15348i | 0.170845 | + | 0.250010i | ||||
\(277\) | 5.17413 | + | 19.3101i | 0.310884 | + | 1.16023i | 0.927761 | + | 0.373174i | \(0.121731\pi\) |
−0.616878 | + | 0.787059i | \(0.711603\pi\) | |||||||
\(278\) | 0.505861 | + | 0.135545i | 0.0303395 | + | 0.00812945i | ||||
\(279\) | 5.96276 | + | 10.8940i | 0.356981 | + | 0.652205i | ||||
\(280\) | −2.98215 | + | 4.23061i | −0.178218 | + | 0.252827i | ||||
\(281\) | 4.93989 | + | 5.88714i | 0.294689 | + | 0.351197i | 0.892992 | − | 0.450073i | \(-0.148602\pi\) |
−0.598302 | + | 0.801271i | \(0.704158\pi\) | |||||||
\(282\) | 0.954606 | + | 0.0108814i | 0.0568459 | + | 0.000647978i | ||||
\(283\) | −14.3617 | − | 6.69696i | −0.853713 | − | 0.398093i | −0.0540471 | − | 0.998538i | \(-0.517212\pi\) |
−0.799666 | + | 0.600446i | \(0.794990\pi\) | |||||||
\(284\) | 7.19804 | 0.427125 | ||||||||
\(285\) | −10.7213 | + | 13.0404i | −0.635077 | + | 0.772449i | ||||
\(286\) | −29.9949 | −1.77363 | ||||||||
\(287\) | −11.9401 | − | 5.56777i | −0.704803 | − | 0.328655i | ||||
\(288\) | −1.77630 | + | 2.41759i | −0.104669 | + | 0.142458i | ||||
\(289\) | −0.141889 | − | 0.169096i | −0.00834639 | − | 0.00994684i | ||||
\(290\) | 1.36840 | + | 7.90569i | 0.0803553 | + | 0.464238i | ||||
\(291\) | −12.8197 | − | 6.15678i | −0.751504 | − | 0.360917i | ||||
\(292\) | −9.34935 | − | 2.50515i | −0.547129 | − | 0.146603i | ||||
\(293\) | 0.672813 | + | 2.51097i | 0.0393062 | + | 0.146693i | 0.982790 | − | 0.184725i | \(-0.0591396\pi\) |
−0.943484 | + | 0.331418i | \(0.892473\pi\) | |||||||
\(294\) | −2.34776 | + | 1.60435i | −0.136924 | + | 0.0935679i | ||||
\(295\) | −7.59246 | − | 2.05997i | −0.442050 | − | 0.119936i | ||||
\(296\) | 5.34733 | + | 3.08728i | 0.310807 | + | 0.179445i | ||||
\(297\) | −14.2272 | + | 22.8043i | −0.825544 | + | 1.32324i | ||||
\(298\) | −2.31374 | + | 3.30437i | −0.134031 | + | 0.191417i | ||||
\(299\) | 12.9015 | + | 10.8257i | 0.746115 | + | 0.626065i | ||||
\(300\) | −7.42228 | − | 4.46204i | −0.428525 | − | 0.257616i | ||||
\(301\) | 4.36349 | − | 24.7466i | 0.251508 | − | 1.42637i | ||||
\(302\) | −4.71414 | − | 2.19824i | −0.271268 | − | 0.126495i | ||||
\(303\) | −0.863168 | − | 5.24412i | −0.0495877 | − | 0.301267i | ||||
\(304\) | −1.02442 | + | 4.23681i | −0.0587545 | + | 0.242998i | ||||
\(305\) | −14.2806 | + | 1.20421i | −0.817703 | + | 0.0689528i | ||||
\(306\) | −7.68242 | − | 9.59134i | −0.439175 | − | 0.548300i | ||||
\(307\) | −13.2673 | − | 18.9477i | −0.757207 | − | 1.08140i | −0.993950 | − | 0.109832i | \(-0.964969\pi\) |
0.236743 | − | 0.971572i | \(-0.423920\pi\) | |||||||
\(308\) | −1.04359 | + | 11.9283i | −0.0594640 | + | 0.679677i | ||||
\(309\) | 2.72274 | + | 10.6453i | 0.154891 | + | 0.605589i | ||||
\(310\) | −4.65347 | + | 8.00190i | −0.264299 | + | 0.454477i | ||||
\(311\) | −20.4202 | + | 11.7896i | −1.15792 | + | 0.668527i | −0.950805 | − | 0.309789i | \(-0.899741\pi\) |
−0.207117 | + | 0.978316i | \(0.566408\pi\) | |||||||
\(312\) | −3.54244 | + | 9.39805i | −0.200551 | + | 0.532060i | ||||
\(313\) | −6.51677 | − | 13.9753i | −0.368350 | − | 0.789929i | −0.999894 | − | 0.0145884i | \(-0.995356\pi\) |
0.631544 | − | 0.775340i | \(-0.282422\pi\) | |||||||
\(314\) | 1.85584 | + | 0.675472i | 0.104731 | + | 0.0381191i | ||||
\(315\) | 9.66941 | + | 12.1501i | 0.544810 | + | 0.684579i | ||||
\(316\) | −0.430816 | − | 0.746195i | −0.0242353 | − | 0.0419768i | ||||
\(317\) | −11.0441 | + | 15.7726i | −0.620300 | + | 0.885880i | −0.999218 | − | 0.0395505i | \(-0.987407\pi\) |
0.378918 | + | 0.925430i | \(0.376296\pi\) | |||||||
\(318\) | 10.5122 | + | 6.23007i | 0.589497 | + | 0.349365i | ||||
\(319\) | 11.9304 | + | 14.2181i | 0.667973 | + | 0.796059i | ||||
\(320\) | −2.22694 | − | 0.201881i | −0.124490 | − | 0.0112855i | ||||
\(321\) | −31.2541 | − | 8.75752i | −1.74443 | − | 0.488797i | ||||
\(322\) | 4.75400 | − | 4.75400i | 0.264930 | − | 0.264930i | ||||
\(323\) | −15.6776 | − | 8.54511i | −0.872325 | − | 0.475463i | ||||
\(324\) | 5.46485 | + | 7.15091i | 0.303603 | + | 0.397273i | ||||
\(325\) | −27.9575 | − | 7.67973i | −1.55081 | − | 0.425995i | ||||
\(326\) | −12.2258 | − | 2.15574i | −0.677125 | − | 0.119395i | ||||
\(327\) | −4.61801 | − | 3.96554i | −0.255376 | − | 0.219295i | ||||
\(328\) | −0.496040 | − | 5.66977i | −0.0273892 | − | 0.313060i | ||||
\(329\) | −0.221551 | − | 1.25648i | −0.0122145 | − | 0.0692719i | ||||
\(330\) | −20.0319 | − | 0.291262i | −1.10272 | − | 0.0160334i | ||||
\(331\) | −9.50400 | + | 16.4614i | −0.522387 | + | 0.904801i | 0.477274 | + | 0.878755i | \(0.341625\pi\) |
−0.999661 | + | 0.0260461i | \(0.991708\pi\) | |||||||
\(332\) | −7.28783 | − | 15.6288i | −0.399972 | − | 0.857742i | ||||
\(333\) | 13.3934 | − | 12.7963i | 0.733954 | − | 0.701231i | ||||
\(334\) | 0.0630467 | + | 0.0364000i | 0.00344976 | + | 0.00199172i | ||||
\(335\) | 26.7417 | + | 4.80193i | 1.46106 | + | 0.262357i | ||||
\(336\) | 3.61414 | + | 1.73573i | 0.197168 | + | 0.0946916i | ||||
\(337\) | 13.8651 | − | 1.21304i | 0.755282 | − | 0.0660786i | 0.296990 | − | 0.954881i | \(-0.404017\pi\) |
0.458291 | + | 0.888802i | \(0.348462\pi\) | |||||||
\(338\) | −1.79751 | + | 20.5456i | −0.0977715 | + | 1.11753i | ||||
\(339\) | 9.42070 | + | 9.63795i | 0.511662 | + | 0.523462i | ||||
\(340\) | 3.15975 | − | 8.59723i | 0.171361 | − | 0.466250i | ||||
\(341\) | 21.4136i | 1.15961i | ||||||||
\(342\) | 11.3363 | + | 6.51834i | 0.612996 | + | 0.352472i | ||||
\(343\) | 14.1448 | + | 14.1448i | 0.763750 | + | 0.763750i | ||||
\(344\) | 10.2009 | − | 3.71282i | 0.549995 | − | 0.200182i | ||||
\(345\) | 8.51108 | + | 7.35513i | 0.458221 | + | 0.395987i | ||||
\(346\) | 9.80996 | − | 8.23153i | 0.527387 | − | 0.442530i | ||||
\(347\) | −1.62680 | − | 18.5944i | −0.0873310 | − | 0.998198i | −0.905816 | − | 0.423671i | \(-0.860741\pi\) |
0.818485 | − | 0.574528i | \(-0.194814\pi\) | |||||||
\(348\) | 5.86383 | − | 2.05888i | 0.314334 | − | 0.110367i | ||||
\(349\) | 21.0223 | − | 12.1372i | 1.12530 | − | 0.649691i | 0.182549 | − | 0.983197i | \(-0.441565\pi\) |
0.942748 | + | 0.333506i | \(0.108232\pi\) | |||||||
\(350\) | −4.02676 | + | 10.8509i | −0.215239 | + | 0.580004i | ||||
\(351\) | 24.0762 | + | 18.1159i | 1.28509 | + | 0.966955i | ||||
\(352\) | −4.68811 | + | 2.18610i | −0.249877 | + | 0.116520i | ||||
\(353\) | −8.12284 | − | 30.3149i | −0.432335 | − | 1.61350i | −0.747364 | − | 0.664415i | \(-0.768681\pi\) |
0.315028 | − | 0.949082i | \(-0.397986\pi\) | |||||||
\(354\) | −0.600260 | + | 6.06408i | −0.0319035 | + | 0.322302i | ||||
\(355\) | 15.5599 | − | 4.11692i | 0.825832 | − | 0.218504i | ||||
\(356\) | 4.46777 | − | 5.32448i | 0.236791 | − | 0.282197i | ||||
\(357\) | −10.6994 | + | 12.4598i | −0.566271 | + | 0.659442i | ||||
\(358\) | −11.3698 | + | 7.96120i | −0.600911 | + | 0.420763i | ||||
\(359\) | −1.09951 | + | 0.400188i | −0.0580298 | + | 0.0211211i | −0.370872 | − | 0.928684i | \(-0.620941\pi\) |
0.312842 | + | 0.949805i | \(0.398719\pi\) | |||||||
\(360\) | −2.45705 | + | 6.24203i | −0.129498 | + | 0.328984i | ||||
\(361\) | 18.8508 | + | 2.37652i | 0.992147 | + | 0.125080i | ||||
\(362\) | −16.7605 | − | 16.7605i | −0.880914 | − | 0.880914i | ||||
\(363\) | −23.7901 | + | 13.3760i | −1.24865 | + | 0.702057i | ||||
\(364\) | 13.2187 | + | 2.33081i | 0.692848 | + | 0.122168i | ||||
\(365\) | −21.6431 | − | 0.0679712i | −1.13285 | − | 0.00355778i | ||||
\(366\) | 2.75073 | + | 10.7547i | 0.143783 | + | 0.562159i | ||||
\(367\) | −19.3832 | − | 13.5723i | −1.01179 | − | 0.708466i | −0.0547777 | − | 0.998499i | \(-0.517445\pi\) |
−0.957017 | + | 0.290032i | \(0.906334\pi\) | |||||||
\(368\) | 2.80547 | + | 0.751724i | 0.146245 | + | 0.0391863i | ||||
\(369\) | −16.7429 | − | 3.34744i | −0.871602 | − | 0.174261i | ||||
\(370\) | 13.3250 | + | 3.61532i | 0.692734 | + | 0.187951i | ||||
\(371\) | 5.58552 | − | 15.3461i | 0.289986 | − | 0.796729i | ||||
\(372\) | 6.70935 | + | 2.52897i | 0.347863 | + | 0.131121i | ||||
\(373\) | 6.77467 | − | 25.2834i | 0.350779 | − | 1.30913i | −0.534934 | − | 0.844894i | \(-0.679664\pi\) |
0.885714 | − | 0.464232i | \(-0.153670\pi\) | |||||||
\(374\) | −3.67941 | − | 20.8670i | −0.190258 | − | 1.07901i | ||||
\(375\) | −18.5967 | − | 5.40033i | −0.960328 | − | 0.278872i | ||||
\(376\) | 0.422227 | − | 0.354290i | 0.0217747 | − | 0.0182711i | ||||
\(377\) | 17.0433 | − | 11.9339i | 0.877777 | − | 0.614626i | ||||
\(378\) | 8.04195 | − | 8.94428i | 0.413633 | − | 0.460044i | ||||
\(379\) | − | 16.8668i | − | 0.866388i | −0.901301 | − | 0.433194i | \(-0.857386\pi\) | ||
0.901301 | − | 0.433194i | \(-0.142614\pi\) | |||||||
\(380\) | 0.208777 | + | 9.74456i | 0.0107100 | + | 0.499885i | ||||
\(381\) | 6.31747 | − | 8.80691i | 0.323654 | − | 0.451191i | ||||
\(382\) | 2.49289 | − | 5.34602i | 0.127547 | − | 0.273526i | ||||
\(383\) | 0.120885 | + | 0.172642i | 0.00617695 | + | 0.00882160i | 0.822229 | − | 0.569157i | \(-0.192730\pi\) |
−0.816052 | + | 0.577979i | \(0.803842\pi\) | |||||||
\(384\) | 0.131281 | + | 1.72707i | 0.00669943 | + | 0.0881341i | ||||
\(385\) | 4.56648 | + | 26.3820i | 0.232729 | + | 1.34455i | ||||
\(386\) | −5.06654 | + | 0.893368i | −0.257880 | + | 0.0454712i | ||||
\(387\) | −2.09811 | − | 32.4990i | −0.106653 | − | 1.65202i | ||||
\(388\) | −7.93100 | + | 2.12511i | −0.402636 | + | 0.107886i | ||||
\(389\) | 6.20438 | + | 2.25821i | 0.314574 | + | 0.114496i | 0.494482 | − | 0.869188i | \(-0.335358\pi\) |
−0.179908 | + | 0.983683i | \(0.557580\pi\) | |||||||
\(390\) | −2.28240 | + | 22.3417i | −0.115574 | + | 1.13132i | ||||
\(391\) | −5.94865 | + | 10.3034i | −0.300836 | + | 0.521064i | ||||
\(392\) | −0.424914 | + | 1.58580i | −0.0214614 | + | 0.0800950i | ||||
\(393\) | −32.1592 | + | 11.2916i | −1.62222 | + | 0.569585i | ||||
\(394\) | 9.12323 | − | 10.8726i | 0.459622 | − | 0.547756i | ||||
\(395\) | −1.35807 | − | 1.36663i | −0.0683322 | − | 0.0687627i | ||||
\(396\) | 2.34566 | + | 15.3400i | 0.117874 | + | 0.770862i | ||||
\(397\) | 10.1446 | − | 21.7551i | 0.509141 | − | 1.09186i | −0.468863 | − | 0.883271i | \(-0.655336\pi\) |
0.978004 | − | 0.208586i | \(-0.0668860\pi\) | |||||||
\(398\) | 16.0085 | − | 16.0085i | 0.802432 | − | 0.802432i | ||||
\(399\) | 5.76055 | − | 16.4996i | 0.288388 | − | 0.826013i | ||||
\(400\) | −4.92940 | + | 0.837296i | −0.246470 | + | 0.0418648i | ||||
\(401\) | 10.6844 | + | 29.3553i | 0.533556 | + | 1.46593i | 0.854811 | + | 0.518940i | \(0.173673\pi\) |
−0.321255 | + | 0.946993i | \(0.604105\pi\) | |||||||
\(402\) | 0.239877 | − | 21.0440i | 0.0119640 | − | 1.04958i | ||||
\(403\) | 23.9132 | + | 2.09213i | 1.19120 | + | 0.104216i | ||||
\(404\) | −2.35056 | − | 1.97235i | −0.116945 | − | 0.0981281i | ||||
\(405\) | 15.9032 | + | 12.3324i | 0.790238 | + | 0.612800i | ||||
\(406\) | −4.15286 | − | 7.19296i | −0.206103 | − | 0.356981i | ||||
\(407\) | 30.8512 | − | 8.26655i | 1.52924 | − | 0.409758i | ||||
\(408\) | −6.97263 | − | 1.31158i | −0.345197 | − | 0.0649328i | ||||
\(409\) | −2.27562 | + | 6.25221i | −0.112522 | + | 0.309152i | −0.983153 | − | 0.182785i | \(-0.941489\pi\) |
0.870631 | + | 0.491937i | \(0.163711\pi\) | |||||||
\(410\) | −4.31511 | − | 11.9725i | −0.213108 | − | 0.591281i | ||||
\(411\) | −0.555638 | + | 5.61329i | −0.0274076 | + | 0.276883i | ||||
\(412\) | 5.19663 | + | 3.63872i | 0.256019 | + | 0.179267i | ||||
\(413\) | 8.11293 | − | 0.709789i | 0.399211 | − | 0.0349265i | ||||
\(414\) | 4.52754 | − | 7.44469i | 0.222516 | − | 0.365886i | ||||
\(415\) | −24.6929 | − | 29.6162i | −1.21213 | − | 1.45380i | ||||
\(416\) | 1.98325 | + | 5.44893i | 0.0972367 | + | 0.267156i | ||||
\(417\) | −0.147321 | − | 0.895042i | −0.00721436 | − | 0.0438304i | ||||
\(418\) | 11.7499 | + | 19.2439i | 0.574708 | + | 0.941252i | ||||
\(419\) | −23.2872 | −1.13766 | −0.568828 | − | 0.822457i | \(-0.692603\pi\) | ||||
−0.568828 | + | 0.822457i | \(0.692603\pi\) | |||||||
\(420\) | 8.80538 | + | 1.68498i | 0.429659 | + | 0.0822184i | ||||
\(421\) | −1.03138 | + | 5.84926i | −0.0502665 | + | 0.285075i | −0.999571 | − | 0.0292820i | \(-0.990678\pi\) |
0.949305 | + | 0.314357i | \(0.101789\pi\) | |||||||
\(422\) | 1.10623 | + | 0.0967822i | 0.0538502 | + | 0.00471128i | ||||
\(423\) | −0.664471 | − | 1.51415i | −0.0323077 | − | 0.0736205i | ||||
\(424\) | 6.94786 | − | 1.22510i | 0.337418 | − | 0.0594959i | ||||
\(425\) | 1.91318 | − | 20.3917i | 0.0928027 | − | 0.989143i | ||||
\(426\) | −5.13980 | − | 11.3586i | −0.249024 | − | 0.550326i | ||||
\(427\) | 13.4458 | − | 6.26988i | 0.650688 | − | 0.303421i | ||||
\(428\) | −16.9838 | + | 7.91968i | −0.820943 | + | 0.382812i | ||||
\(429\) | 21.4180 | + | 47.3323i | 1.03407 | + | 2.28522i | ||||
\(430\) | 19.9275 | − | 13.8604i | 0.960991 | − | 0.668405i | ||||
\(431\) | −0.952481 | + | 0.167948i | −0.0458794 | + | 0.00808978i | −0.196541 | − | 0.980496i | \(-0.562971\pi\) |
0.150661 | + | 0.988585i | \(0.451860\pi\) | |||||||
\(432\) | 5.08337 | + | 1.07672i | 0.244574 | + | 0.0518039i | ||||
\(433\) | −10.2384 | − | 0.895747i | −0.492028 | − | 0.0430469i | −0.161558 | − | 0.986863i | \(-0.551652\pi\) |
−0.330470 | + | 0.943816i | \(0.607207\pi\) | |||||||
\(434\) | 1.66399 | − | 9.43693i | 0.0798739 | − | 0.452987i | ||||
\(435\) | 11.4982 | − | 7.80446i | 0.551295 | − | 0.374195i | ||||
\(436\) | −3.51433 | −0.168306 | ||||||||
\(437\) | 1.89154 | − | 12.5181i | 0.0904848 | − | 0.598820i | ||||
\(438\) | 2.72280 | + | 16.5422i | 0.130101 | + | 0.790417i | ||||
\(439\) | 11.6084 | + | 31.8939i | 0.554041 | + | 1.52222i | 0.828144 | + | 0.560515i | \(0.189397\pi\) |
−0.274103 | + | 0.961700i | \(0.588381\pi\) | |||||||
\(440\) | −8.88386 | + | 7.40702i | −0.423521 | + | 0.353116i | ||||
\(441\) | 4.20813 | + | 2.55920i | 0.200387 | + | 0.121867i | ||||
\(442\) | −23.6622 | + | 2.07018i | −1.12550 | + | 0.0984683i | ||||
\(443\) | −23.4048 | − | 16.3882i | −1.11199 | − | 0.778627i | −0.134779 | − | 0.990876i | \(-0.543032\pi\) |
−0.977216 | + | 0.212249i | \(0.931921\pi\) | |||||||
\(444\) | 1.05348 | − | 10.6427i | 0.0499958 | − | 0.505078i | ||||
\(445\) | 6.61255 | − | 14.0652i | 0.313465 | − | 0.666753i | ||||
\(446\) | −7.13407 | + | 19.6007i | −0.337808 | + | 0.928119i | ||||
\(447\) | 6.86647 | + | 1.29161i | 0.324773 | + | 0.0610911i | ||||
\(448\) | 2.23592 | − | 0.599112i | 0.105637 | − | 0.0283054i | ||||
\(449\) | 6.97536 | + | 12.0817i | 0.329188 | + | 0.570170i | 0.982351 | − | 0.187047i | \(-0.0598917\pi\) |
−0.653163 | + | 0.757217i | \(0.726558\pi\) | |||||||
\(450\) | −1.74123 | + | 14.8986i | −0.0820823 | + | 0.702326i | ||||
\(451\) | −22.5526 | − | 18.9239i | −1.06196 | − | 0.891091i | ||||
\(452\) | 7.75156 | + | 0.678173i | 0.364603 | + | 0.0318986i | ||||
\(453\) | −0.102688 | + | 9.00864i | −0.00482471 | + | 0.423263i | ||||
\(454\) | −0.847237 | − | 2.32777i | −0.0397628 | − | 0.109247i | ||||
\(455\) | 29.9077 | − | 2.52197i | 1.40210 | − | 0.118232i | ||||
\(456\) | 7.41723 | − | 1.40877i | 0.347344 | − | 0.0659719i | ||||
\(457\) | 19.8917 | − | 19.8917i | 0.930497 | − | 0.930497i | −0.0672403 | − | 0.997737i | \(-0.521419\pi\) |
0.997737 | + | 0.0672403i | \(0.0214194\pi\) | |||||||
\(458\) | 11.9830 | − | 25.6975i | 0.559927 | − | 1.20077i | ||||
\(459\) | −9.64957 | + | 18.9717i | −0.450403 | + | 0.885524i | ||||
\(460\) | 6.49449 | + | 0.0203962i | 0.302807 | + | 0.000950979i | ||||
\(461\) | −2.98083 | + | 3.55241i | −0.138831 | + | 0.165452i | −0.830980 | − | 0.556302i | \(-0.812220\pi\) |
0.692149 | + | 0.721755i | \(0.256664\pi\) | |||||||
\(462\) | 19.5682 | − | 6.87067i | 0.910393 | − | 0.319652i | ||||
\(463\) | 2.10037 | − | 7.83870i | 0.0976126 | − | 0.364295i | −0.899790 | − | 0.436323i | \(-0.856280\pi\) |
0.997403 | + | 0.0720280i | \(0.0229471\pi\) | |||||||
\(464\) | 1.79405 | − | 3.10739i | 0.0832868 | − | 0.144257i | ||||
\(465\) | 15.9499 | + | 1.62942i | 0.739660 | + | 0.0755626i | ||||
\(466\) | −18.4655 | − | 6.72089i | −0.855398 | − | 0.311339i | ||||
\(467\) | 0.698530 | − | 0.187171i | 0.0323241 | − | 0.00866122i | −0.242621 | − | 0.970121i | \(-0.578007\pi\) |
0.274945 | + | 0.961460i | \(0.411340\pi\) | |||||||
\(468\) | 17.3597 | − | 1.12073i | 0.802455 | − | 0.0518058i | ||||
\(469\) | −27.6986 | + | 4.88402i | −1.27900 | + | 0.225523i | ||||
\(470\) | 0.710083 | − | 1.00736i | 0.0327537 | − | 0.0464659i | ||||
\(471\) | −0.259274 | − | 3.41087i | −0.0119467 | − | 0.157165i | ||||
\(472\) | 2.01796 | + | 2.88195i | 0.0928842 | + | 0.132652i | ||||
\(473\) | 23.7313 | − | 50.8920i | 1.09117 | − | 2.34002i | ||||
\(474\) | −0.869879 | + | 1.21266i | −0.0399548 | + | 0.0556993i | ||||
\(475\) | 6.02472 | + | 20.9452i | 0.276433 | + | 0.961033i | ||||
\(476\) | 9.48196i | 0.434605i | ||||||||
\(477\) | 2.32480 | − | 21.0371i | 0.106445 | − | 0.963221i | ||||
\(478\) | 15.4763 | − | 10.8366i | 0.707868 | − | 0.495655i | ||||
\(479\) | −4.54804 | + | 3.81626i | −0.207805 | + | 0.174369i | −0.740750 | − | 0.671781i | \(-0.765530\pi\) |
0.532945 | + | 0.846150i | \(0.321085\pi\) | |||||||
\(480\) | 1.27159 | + | 3.65829i | 0.0580397 | + | 0.166977i | ||||
\(481\) | −6.21730 | − | 35.2601i | −0.283485 | − | 1.60772i | ||||
\(482\) | −3.14525 | + | 11.7382i | −0.143262 | + | 0.534661i | ||||
\(483\) | −10.8965 | − | 4.10725i | −0.495808 | − | 0.186886i | ||||
\(484\) | −5.38934 | + | 14.8071i | −0.244970 | + | 0.673049i | ||||
\(485\) | −15.9289 | + | 9.12995i | −0.723292 | + | 0.414570i | ||||
\(486\) | 7.38201 | − | 13.7297i | 0.334855 | − | 0.622794i | ||||
\(487\) | 23.0809 | + | 6.18452i | 1.04590 | + | 0.280247i | 0.740555 | − | 0.671996i | \(-0.234563\pi\) |
0.305342 | + | 0.952243i | \(0.401229\pi\) | |||||||
\(488\) | 5.25005 | + | 3.67613i | 0.237659 | + | 0.166410i | ||||
\(489\) | 5.32814 | + | 20.8318i | 0.240947 | + | 0.942047i | ||||
\(490\) | −0.0115290 | + | 3.67103i | −0.000520828 | + | 0.165840i | ||||
\(491\) | 14.1292 | + | 2.49136i | 0.637643 | + | 0.112434i | 0.483118 | − | 0.875555i | \(-0.339504\pi\) |
0.154525 | + | 0.987989i | \(0.450615\pi\) | |||||||
\(492\) | −8.59276 | + | 4.83129i | −0.387392 | + | 0.217811i | ||||
\(493\) | 10.3929 | + | 10.3929i | 0.468072 | + | 0.468072i | ||||
\(494\) | 22.6382 | − | 11.2413i | 1.01854 | − | 0.505771i | ||||
\(495\) | 13.8443 | + | 31.8185i | 0.622254 | + | 1.43014i | ||||
\(496\) | 3.89003 | − | 1.41586i | 0.174668 | − | 0.0635738i | ||||
\(497\) | −13.6487 | + | 9.55691i | −0.612227 | + | 0.428686i | ||||
\(498\) | −19.4585 | + | 22.6601i | −0.871958 | + | 1.01543i | ||||
\(499\) | −2.50137 | + | 2.98101i | −0.111977 | + | 0.133448i | −0.819121 | − | 0.573620i | \(-0.805538\pi\) |
0.707145 | + | 0.707069i | \(0.249983\pi\) | |||||||
\(500\) | −10.1769 | + | 4.62934i | −0.455125 | + | 0.207030i | ||||
\(501\) | 0.0124208 | − | 0.125480i | 0.000554921 | − | 0.00560604i | ||||
\(502\) | 2.89176 | + | 10.7922i | 0.129065 | + | 0.481679i | ||||
\(503\) | −25.0925 | + | 11.7008i | −1.11882 | + | 0.521714i | −0.891915 | − | 0.452203i | \(-0.850638\pi\) |
−0.226904 | + | 0.973917i | \(0.572860\pi\) | |||||||
\(504\) | 0.158295 | − | 6.94257i | 0.00705102 | − | 0.309247i | ||||
\(505\) | −6.20925 | − | 2.91919i | −0.276308 | − | 0.129902i | ||||
\(506\) | 13.0111 | − | 7.51197i | 0.578415 | − | 0.333948i | ||||
\(507\) | 33.7048 | − | 11.8342i | 1.49688 | − | 0.525577i | ||||
\(508\) | −0.545384 | − | 6.23377i | −0.0241975 | − | 0.276579i | ||||
\(509\) | −2.86744 | + | 2.40606i | −0.127097 | + | 0.106647i | −0.704120 | − | 0.710081i | \(-0.748659\pi\) |
0.577024 | + | 0.816727i | \(0.304214\pi\) | |||||||
\(510\) | −15.8228 | + | 1.15278i | −0.700644 | + | 0.0510462i | ||||
\(511\) | 21.0540 | − | 7.66304i | 0.931375 | − | 0.338993i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 2.19129 | − | 22.5433i | 0.0967477 | − | 0.995309i | ||||
\(514\) | − | 0.658402i | − | 0.0290409i | ||||||
\(515\) | 13.3146 | + | 4.89354i | 0.586712 | + | 0.215635i | ||||
\(516\) | −13.1429 | − | 13.4460i | −0.578583 | − | 0.591926i | ||||
\(517\) | 0.248490 | − | 2.84026i | 0.0109286 | − | 0.124914i | ||||
\(518\) | −14.2384 | + | 1.24570i | −0.625601 | + | 0.0547330i | ||||
\(519\) | −19.9943 | − | 9.60246i | −0.877653 | − | 0.421501i | ||||
\(520\) | 7.40367 | + | 10.6445i | 0.324672 | + | 0.466794i | ||||
\(521\) | 18.4177 | + | 10.6335i | 0.806896 | + | 0.465862i | 0.845877 | − | 0.533378i | \(-0.179078\pi\) |
−0.0389809 | + | 0.999240i | \(0.512411\pi\) | |||||||
\(522\) | −7.43604 | − | 7.78304i | −0.325467 | − | 0.340655i | ||||
\(523\) | −10.1334 | − | 21.7311i | −0.443102 | − | 0.950236i | −0.993339 | − | 0.115227i | \(-0.963240\pi\) |
0.550237 | − | 0.835009i | \(-0.314537\pi\) | |||||||
\(524\) | −9.83919 | + | 17.0420i | −0.429827 | + | 0.744483i | ||||
\(525\) | 19.9982 | − | 1.39386i | 0.872791 | − | 0.0608332i | ||||
\(526\) | 3.88323 | + | 22.0229i | 0.169317 | + | 0.960243i | ||||
\(527\) | 1.47792 | + | 16.8927i | 0.0643791 | + | 0.735856i | ||||
\(528\) | 6.79726 | + | 5.83689i | 0.295813 | + | 0.254018i | ||||
\(529\) | 14.3430 | + | 2.52905i | 0.623607 | + | 0.109959i | ||||
\(530\) | 14.3184 | − | 6.62210i | 0.621951 | − | 0.287646i | ||||
\(531\) | 9.99781 | − | 3.38288i | 0.433868 | − | 0.146804i | ||||
\(532\) | −3.68278 | − | 9.39383i | −0.159669 | − | 0.407274i | ||||
\(533\) | −23.3363 | + | 23.3363i | −1.01081 | + | 1.01081i | ||||
\(534\) | −11.5923 | − | 3.24822i | −0.501649 | − | 0.140564i | ||||
\(535\) | −32.1839 | + | 26.8337i | −1.39143 | + | 1.16012i | ||||
\(536\) | −7.81021 | − | 9.30785i | −0.337350 | − | 0.402038i | ||||
\(537\) | 20.6815 | + | 12.2569i | 0.892474 | + | 0.528924i | ||||
\(538\) | −10.7150 | + | 15.3026i | −0.461958 | + | 0.659744i | ||||
\(539\) | 4.24616 | + | 7.35457i | 0.182895 | + | 0.316784i | ||||
\(540\) | 11.6045 | − | 0.579903i | 0.499377 | − | 0.0249551i | ||||
\(541\) | 16.2609 | + | 5.91850i | 0.699112 | + | 0.254456i | 0.667032 | − | 0.745029i | \(-0.267565\pi\) |
0.0320804 | + | 0.999485i | \(0.489787\pi\) | |||||||
\(542\) | 8.24679 | + | 17.6853i | 0.354230 | + | 0.759649i | ||||
\(543\) | −14.4804 | + | 38.4163i | −0.621412 | + | 1.64860i | ||||
\(544\) | −3.54746 | + | 2.04812i | −0.152096 | + | 0.0878126i | ||||
\(545\) | −7.59686 | + | 2.01002i | −0.325414 | + | 0.0860999i | ||||
\(546\) | −5.76084 | − | 22.5236i | −0.246541 | − | 0.963921i | ||||
\(547\) | 1.89511 | − | 21.6612i | 0.0810289 | − | 0.926165i | −0.841505 | − | 0.540249i | \(-0.818330\pi\) |
0.922534 | − | 0.385916i | \(-0.126114\pi\) | |||||||
\(548\) | 1.86795 | + | 2.66771i | 0.0797949 | + | 0.113959i | ||||
\(549\) | 15.0069 | − | 12.0202i | 0.640481 | − | 0.513009i | ||||
\(550\) | −14.9676 | + | 21.0928i | −0.638222 | + | 0.899398i | ||||
\(551\) | −14.3329 | − | 6.25970i | −0.610601 | − | 0.266672i | ||||
\(552\) | −0.817036 | − | 4.96385i | −0.0347753 | − | 0.211275i | ||||
\(553\) | 1.80763 | + | 0.842912i | 0.0768682 | + | 0.0358442i | ||||
\(554\) | 3.47146 | − | 19.6876i | 0.147488 | − | 0.836446i | ||||
\(555\) | −3.80979 | − | 23.6086i | −0.161717 | − | 1.00213i | ||||
\(556\) | −0.401182 | − | 0.336632i | −0.0170139 | − | 0.0142764i | ||||
\(557\) | −4.25675 | + | 6.07927i | −0.180364 | + | 0.257587i | −0.899146 | − | 0.437649i | \(-0.855811\pi\) |
0.718782 | + | 0.695236i | \(0.244700\pi\) | |||||||
\(558\) | −0.800100 | − | 12.3933i | −0.0338709 | − | 0.524649i | ||||
\(559\) | −54.5140 | − | 31.4737i | −2.30570 | − | 1.33120i | ||||
\(560\) | 4.49068 | − | 2.57392i | 0.189766 | − | 0.108768i | ||||
\(561\) | −30.3010 | + | 20.7064i | −1.27931 | + | 0.874223i | ||||
\(562\) | −1.98905 | − | 7.42325i | −0.0839031 | − | 0.313131i | ||||
\(563\) | 34.2401 | + | 9.17460i | 1.44305 | + | 0.386663i | 0.893600 | − | 0.448865i | \(-0.148172\pi\) |
0.549447 | + | 0.835528i | \(0.314838\pi\) | |||||||
\(564\) | −0.860568 | − | 0.413296i | −0.0362364 | − | 0.0174029i | ||||
\(565\) | 17.1443 | − | 2.96752i | 0.721266 | − | 0.124844i | ||||
\(566\) | 10.1858 | + | 12.1390i | 0.428143 | + | 0.510241i | ||||
\(567\) | −19.8566 | − | 6.30357i | −0.833898 | − | 0.264725i | ||||
\(568\) | −6.52364 | − | 3.04202i | −0.273726 | − | 0.127640i | ||||
\(569\) | −13.2833 | −0.556863 | −0.278432 | − | 0.960456i | \(-0.589815\pi\) | ||||
−0.278432 | + | 0.960456i | \(0.589815\pi\) | |||||||
\(570\) | 15.2280 | − | 7.28762i | 0.637829 | − | 0.305245i | ||||
\(571\) | −16.2415 | −0.679686 | −0.339843 | − | 0.940482i | \(-0.610374\pi\) | ||||
−0.339843 | + | 0.940482i | \(0.610374\pi\) | |||||||
\(572\) | 27.1846 | + | 12.6764i | 1.13664 | + | 0.530026i | ||||
\(573\) | −10.2161 | − | 0.116452i | −0.426786 | − | 0.00486486i | ||||
\(574\) | 8.46838 | + | 10.0922i | 0.353463 | + | 0.421241i | ||||
\(575\) | 14.0507 | − | 3.67044i | 0.585955 | − | 0.153068i | ||||
\(576\) | 2.63159 | − | 1.44039i | 0.109650 | − | 0.0600162i | ||||
\(577\) | 8.09167 | + | 2.16816i | 0.336861 | + | 0.0902616i | 0.423284 | − | 0.905997i | \(-0.360877\pi\) |
−0.0864235 | + | 0.996258i | \(0.527544\pi\) | |||||||
\(578\) | 0.0571316 | + | 0.213218i | 0.00237636 | + | 0.00886870i | ||||
\(579\) | 5.02754 | + | 7.35715i | 0.208938 | + | 0.305753i | ||||
\(580\) | 2.10090 | − | 7.74330i | 0.0872350 | − | 0.321523i | ||||
\(581\) | 34.5695 | + | 19.9587i | 1.43418 | + | 0.828026i | ||||
\(582\) | 9.01662 | + | 10.9978i | 0.373751 | + | 0.455872i | ||||
\(583\) | 20.9321 | − | 29.8941i | 0.866919 | − | 1.23809i | ||||
\(584\) | 7.41466 | + | 6.22164i | 0.306821 | + | 0.257453i | ||||
\(585\) | 36.8853 | − | 12.3516i | 1.52502 | − | 0.510675i | ||||
\(586\) | 0.451407 | − | 2.56006i | 0.0186475 | − | 0.105755i | ||||
\(587\) | −14.1019 | − | 6.57581i | −0.582047 | − | 0.271413i | 0.109214 | − | 0.994018i | \(-0.465167\pi\) |
−0.691261 | + | 0.722605i | \(0.742944\pi\) | |||||||
\(588\) | 2.80583 | − | 0.461831i | 0.115710 | − | 0.0190456i | ||||
\(589\) | −8.02527 | − | 16.1616i | −0.330676 | − | 0.665928i | ||||
\(590\) | 6.01053 | + | 5.07568i | 0.247449 | + | 0.208963i | ||||
\(591\) | −23.6717 | − | 6.63289i | −0.973722 | − | 0.272841i | ||||
\(592\) | −3.54159 | − | 5.05791i | −0.145558 | − | 0.207879i | ||||
\(593\) | −4.01838 | + | 45.9303i | −0.165015 | + | 1.88613i | 0.238474 | + | 0.971149i | \(0.423353\pi\) |
−0.403490 | + | 0.914984i | \(0.632203\pi\) | |||||||
\(594\) | 22.5317 | − | 14.6551i | 0.924487 | − | 0.601305i | ||||
\(595\) | 5.42322 | + | 20.4970i | 0.222330 | + | 0.840295i | ||||
\(596\) | 3.49345 | − | 2.01694i | 0.143097 | − | 0.0826172i | ||||
\(597\) | −36.6925 | − | 13.8306i | −1.50172 | − | 0.566050i | ||||
\(598\) | −7.11764 | − | 15.2638i | −0.291062 | − | 0.624184i | ||||
\(599\) | 19.3155 | + | 7.03025i | 0.789208 | + | 0.287248i | 0.705007 | − | 0.709201i | \(-0.250944\pi\) |
0.0842012 | + | 0.996449i | \(0.473166\pi\) | |||||||
\(600\) | 4.84113 | + | 7.18077i | 0.197638 | + | 0.293154i | ||||
\(601\) | −14.2130 | − | 24.6176i | −0.579759 | − | 1.00417i | −0.995507 | − | 0.0946922i | \(-0.969813\pi\) |
0.415747 | − | 0.909480i | \(-0.363520\pi\) | |||||||
\(602\) | −14.4130 | + | 20.5839i | −0.587431 | + | 0.838939i | ||||
\(603\) | −33.3789 | + | 14.6481i | −1.35930 | + | 0.596515i | ||||
\(604\) | 3.34345 | + | 3.98456i | 0.136043 | + | 0.162130i | ||||
\(605\) | −3.18111 | + | 35.0907i | −0.129331 | + | 1.42664i | ||||
\(606\) | −1.43397 | + | 5.11758i | −0.0582509 | + | 0.207887i | ||||
\(607\) | −15.9044 | + | 15.9044i | −0.645540 | + | 0.645540i | −0.951912 | − | 0.306372i | \(-0.900885\pi\) |
0.306372 | + | 0.951912i | \(0.400885\pi\) | |||||||
\(608\) | 2.71899 | − | 3.40692i | 0.110270 | − | 0.138169i | ||||
\(609\) | −8.38521 | + | 11.6894i | −0.339786 | + | 0.473680i | ||||
\(610\) | 13.4515 | + | 4.94385i | 0.544636 | + | 0.200171i | ||||
\(611\) | −3.14752 | − | 0.554992i | −0.127335 | − | 0.0224526i | ||||
\(612\) | 2.90916 | + | 11.9394i | 0.117596 | + | 0.482623i | ||||
\(613\) | 1.41482 | + | 16.1715i | 0.0571442 | + | 0.653161i | 0.969715 | + | 0.244241i | \(0.0785388\pi\) |
−0.912570 | + | 0.408920i | \(0.865906\pi\) | |||||||
\(614\) | 4.01664 | + | 22.7795i | 0.162098 | + | 0.919306i | ||||
\(615\) | −15.8116 | + | 15.3584i | −0.637584 | + | 0.619309i | ||||
\(616\) | 5.98692 | − | 10.3697i | 0.241220 | − | 0.417805i | ||||
\(617\) | 12.2446 | + | 26.2585i | 0.492947 | + | 1.05713i | 0.982689 | + | 0.185262i | \(0.0593133\pi\) |
−0.489742 | + | 0.871868i | \(0.662909\pi\) | |||||||
\(618\) | 2.03126 | − | 10.7986i | 0.0817091 | − | 0.434383i | ||||
\(619\) | 1.17648 | + | 0.679242i | 0.0472868 | + | 0.0273010i | 0.523457 | − | 0.852052i | \(-0.324642\pi\) |
−0.476170 | + | 0.879353i | \(0.657975\pi\) | |||||||
\(620\) | 7.59922 | − | 5.28554i | 0.305192 | − | 0.212272i | ||||
\(621\) | −14.9807 | − | 1.82858i | −0.601156 | − | 0.0733785i | ||||
\(622\) | 23.4895 | − | 2.05506i | 0.941842 | − | 0.0824005i | ||||
\(623\) | −1.40227 | + | 16.0280i | −0.0561807 | + | 0.642148i | ||||
\(624\) | 7.18233 | − | 7.02043i | 0.287523 | − | 0.281042i | ||||
\(625\) | −19.3515 | + | 15.8278i | −0.774059 | + | 0.633114i | ||||
\(626\) | 15.4200i | 0.616307i | ||||||||
\(627\) | 21.9771 | − | 32.2828i | 0.877680 | − | 1.28925i | ||||
\(628\) | −1.39650 | − | 1.39650i | −0.0557264 | − | 0.0557264i | ||||
\(629\) | 23.7672 | − | 8.65057i | 0.947662 | − | 0.344921i | ||||
\(630\) | −3.62863 | − | 15.0982i | −0.144568 | − | 0.601525i | ||||
\(631\) | −13.7029 | + | 11.4981i | −0.545504 | + | 0.457732i | −0.873415 | − | 0.486976i | \(-0.838100\pi\) |
0.327911 | + | 0.944709i | \(0.393655\pi\) | |||||||
\(632\) | 0.0750962 | + | 0.858353i | 0.00298717 | + | 0.0341435i | ||||
\(633\) | −0.637184 | − | 1.81475i | −0.0253258 | − | 0.0721297i | ||||
\(634\) | 16.6752 | − | 9.62742i | 0.662256 | − | 0.382354i | ||||
\(635\) | −4.74436 | − | 13.1635i | −0.188274 | − | 0.522378i | ||||
\(636\) | −6.89438 | − | 10.0890i | −0.273380 | − | 0.400056i | ||||
\(637\) | 8.62791 | − | 4.02326i | 0.341850 | − | 0.159407i | ||||
\(638\) | −4.80378 | − | 17.9280i | −0.190183 | − | 0.709774i | ||||
\(639\) | −14.2539 | + | 16.2214i | −0.563875 | + | 0.641707i | ||||
\(640\) | 1.93297 | + | 1.12411i | 0.0764074 | + | 0.0444344i | ||||
\(641\) | −3.85530 | + | 4.59457i | −0.152275 | + | 0.181474i | −0.836789 | − | 0.547525i | \(-0.815570\pi\) |
0.684514 | + | 0.729000i | \(0.260014\pi\) | |||||||
\(642\) | 24.6247 | + | 21.1456i | 0.971861 | + | 0.834549i | ||||
\(643\) | 11.0636 | − | 7.74680i | 0.436305 | − | 0.305504i | −0.334710 | − | 0.942321i | \(-0.608638\pi\) |
0.771015 | + | 0.636817i | \(0.219749\pi\) | |||||||
\(644\) | −6.31771 | + | 2.29946i | −0.248953 | + | 0.0906114i | ||||
\(645\) | −36.1012 | − | 21.5488i | −1.42148 | − | 0.848485i | ||||
\(646\) | 10.5974 | + | 14.3701i | 0.416950 | + | 0.565385i | ||||
\(647\) | −19.3902 | − | 19.3902i | −0.762307 | − | 0.762307i | 0.214432 | − | 0.976739i | \(-0.431210\pi\) |
−0.976739 | + | 0.214432i | \(0.931210\pi\) | |||||||
\(648\) | −1.93073 | − | 8.79047i | −0.0758462 | − | 0.345322i | ||||
\(649\) | 17.9223 | + | 3.16019i | 0.703514 | + | 0.124048i | ||||
\(650\) | 22.0925 | + | 18.7756i | 0.866541 | + | 0.736438i | ||||
\(651\) | −16.0798 | + | 4.11271i | −0.630216 | + | 0.161190i | ||||
\(652\) | 10.1693 | + | 7.12062i | 0.398260 | + | 0.278865i | ||||
\(653\) | −42.9006 | − | 11.4952i | −1.67883 | − | 0.449841i | −0.711360 | − | 0.702828i | \(-0.751920\pi\) |
−0.967470 | + | 0.252987i | \(0.918587\pi\) | |||||||
\(654\) | 2.50943 | + | 5.54565i | 0.0981264 | + | 0.216852i | ||||
\(655\) | −11.5220 | + | 42.4669i | −0.450203 | + | 1.65932i | ||||
\(656\) | −1.94658 | + | 5.34819i | −0.0760012 | + | 0.208812i | ||||
\(657\) | 24.1596 | − | 16.1087i | 0.942555 | − | 0.628459i | ||||
\(658\) | −0.330217 | + | 1.23239i | −0.0128732 | + | 0.0480435i | ||||
\(659\) | −2.31019 | − | 13.1017i | −0.0899922 | − | 0.510371i | −0.996167 | − | 0.0874685i | \(-0.972122\pi\) |
0.906175 | − | 0.422903i | \(-0.138989\pi\) | |||||||
\(660\) | 18.0319 | + | 8.72981i | 0.701893 | + | 0.339807i | ||||
\(661\) | 20.0681 | − | 16.8391i | 0.780557 | − | 0.654965i | −0.162832 | − | 0.986654i | \(-0.552063\pi\) |
0.943389 | + | 0.331688i | \(0.107618\pi\) | |||||||
\(662\) | 15.5704 | − | 10.9025i | 0.605162 | − | 0.423739i | ||||
\(663\) | 20.1629 | + | 35.8611i | 0.783064 | + | 1.39273i | ||||
\(664\) | 17.2445i | 0.669216i | ||||||||
\(665\) | −13.3338 | − | 18.2001i | −0.517063 | − | 0.705770i | ||||
\(666\) | −17.5465 | + | 5.93706i | −0.679912 | + | 0.230056i | ||||
\(667\) | −4.40429 | + | 9.44503i | −0.170535 | + | 0.365713i | ||||
\(668\) | −0.0417564 | − | 0.0596343i | −0.00161560 | − | 0.00230732i | ||||
\(669\) | 36.0243 | − | 2.73835i | 1.39278 | − | 0.105871i | ||||
\(670\) | −22.2068 | − | 15.6536i | −0.857925 | − | 0.604750i | ||||
\(671\) | 32.6492 | − | 5.75693i | 1.26041 | − | 0.222244i | ||||
\(672\) | −2.54198 | − | 3.10050i | −0.0980589 | − | 0.119605i | ||||
\(673\) | −21.8690 | + | 5.85979i | −0.842989 | + | 0.225878i | −0.654372 | − | 0.756172i | \(-0.727067\pi\) |
−0.188617 | + | 0.982051i | \(0.560400\pi\) | |||||||
\(674\) | −13.0787 | − | 4.76027i | −0.503774 | − | 0.183359i | ||||
\(675\) | 24.7535 | − | 7.89075i | 0.952763 | − | 0.303715i | ||||
\(676\) | 10.3120 | − | 17.8610i | 0.396617 | − | 0.686961i | ||||
\(677\) | 6.19280 | − | 23.1118i | 0.238009 | − | 0.888260i | −0.738761 | − | 0.673968i | \(-0.764589\pi\) |
0.976770 | − | 0.214292i | \(-0.0687446\pi\) | |||||||
\(678\) | −4.46488 | − | 12.7163i | −0.171473 | − | 0.488367i | ||||
\(679\) | 12.2170 | − | 14.5596i | 0.468844 | − | 0.558747i | ||||
\(680\) | −6.49705 | + | 6.45637i | −0.249150 | + | 0.247590i | ||||
\(681\) | −3.06827 | + | 2.99911i | −0.117576 | + | 0.114926i | ||||
\(682\) | 9.04977 | − | 19.4073i | 0.346534 | − | 0.743144i | ||||
\(683\) | 5.43172 | − | 5.43172i | 0.207839 | − | 0.207839i | −0.595509 | − | 0.803348i | \(-0.703050\pi\) |
0.803348 | + | 0.595509i | \(0.203050\pi\) | |||||||
\(684\) | −7.51939 | − | 10.6985i | −0.287511 | − | 0.409069i | ||||
\(685\) | 5.56371 | + | 4.69836i | 0.212579 | + | 0.179515i | ||||
\(686\) | −6.84171 | − | 18.7974i | −0.261218 | − | 0.717690i | ||||
\(687\) | −49.1076 | − | 0.559769i | −1.87357 | − | 0.0213565i | ||||
\(688\) | −10.8143 | − | 0.946125i | −0.412290 | − | 0.0360707i | ||||
\(689\) | −31.3386 | − | 26.2962i | −1.19390 | − | 1.00180i | ||||
\(690\) | −4.60525 | − | 10.2630i | −0.175319 | − | 0.390704i | ||||
\(691\) | 17.6543 | + | 30.5781i | 0.671600 | + | 1.16325i | 0.977450 | + | 0.211166i | \(0.0677260\pi\) |
−0.305850 | + | 0.952080i | \(0.598941\pi\) | |||||||
\(692\) | −12.3696 | + | 3.31443i | −0.470223 | + | 0.125996i | ||||
\(693\) | −24.8148 | − | 25.9728i | −0.942635 | − | 0.986623i | ||||
\(694\) | −6.38394 | + | 17.5397i | −0.242331 | + | 0.665800i | ||||
\(695\) | −1.05977 | − | 0.498234i | −0.0401992 | − | 0.0188991i | ||||
\(696\) | −6.18455 | − | 0.612186i | −0.234425 | − | 0.0232048i | ||||
\(697\) | −19.0973 | − | 13.3721i | −0.723362 | − | 0.506503i | ||||
\(698\) | −24.1821 | + | 2.11566i | −0.915305 | + | 0.0800788i | ||||
\(699\) | 2.57976 | + | 33.9379i | 0.0975753 | + | 1.28365i | ||||
\(700\) | 8.23527 | − | 8.13246i | 0.311264 | − | 0.307378i | ||||
\(701\) | −5.16687 | − | 14.1958i | −0.195150 | − | 0.536170i | 0.803065 | − | 0.595891i | \(-0.203201\pi\) |
−0.998215 | + | 0.0597213i | \(0.980979\pi\) | |||||||
\(702\) | −14.1644 | − | 26.5936i | −0.534600 | − | 1.00371i | ||||
\(703\) | −20.1865 | + | 17.8013i | −0.761347 | + | 0.671390i | ||||
\(704\) | 5.17275 | 0.194955 | ||||||||
\(705\) | −2.09666 | − | 0.401211i | −0.0789648 | − | 0.0151105i | ||||
\(706\) | −5.44982 | + | 30.9075i | −0.205107 | + | 1.16322i | ||||
\(707\) | 7.07576 | + | 0.619048i | 0.266111 | + | 0.0232817i | ||||
\(708\) | 3.10681 | − | 5.24224i | 0.116761 | − | 0.197016i | ||||
\(709\) | 0.729072 | − | 0.128555i | 0.0273809 | − | 0.00482798i | −0.159941 | − | 0.987127i | \(-0.551130\pi\) |
0.187322 | + | 0.982299i | \(0.440019\pi\) | |||||||
\(710\) | −15.8419 | − | 2.84469i | −0.594537 | − | 0.106759i | ||||
\(711\) | 2.53473 | + | 0.506773i | 0.0950599 | + | 0.0190055i | ||||
\(712\) | −6.29939 | + | 2.93746i | −0.236080 | + | 0.110086i | ||||
\(713\) | −10.8970 | + | 5.08134i | −0.408095 | + | 0.190298i | ||||
\(714\) | 14.9627 | − | 6.77066i | 0.559963 | − | 0.253385i | ||||
\(715\) | 66.0147 | + | 11.8541i | 2.46881 | + | 0.443317i | ||||
\(716\) | 13.6691 | − | 2.41022i | 0.510837 | − | 0.0900743i | ||||
\(717\) | −28.1512 | − | 16.6838i | −1.05133 | − | 0.623068i | ||||
\(718\) | 1.16562 | + | 0.101978i | 0.0435005 | + | 0.00380580i | ||||
\(719\) | 0.826424 | − | 4.68688i | 0.0308204 | − | 0.174791i | −0.965512 | − | 0.260359i | \(-0.916159\pi\) |
0.996332 | + | 0.0855674i | \(0.0272703\pi\) | |||||||
\(720\) | 4.86484 | − | 4.61880i | 0.181302 | − | 0.172133i | ||||
\(721\) | −14.6848 | −0.546891 | ||||||||
\(722\) | −16.0803 | − | 10.1205i | −0.598445 | − | 0.376648i | ||||
\(723\) | 20.7689 | − | 3.41851i | 0.772405 | − | 0.127136i | ||||
\(724\) | 8.10689 | + | 22.2735i | 0.301290 | + | 0.827788i | ||||
\(725\) | 0.112685 | − | 17.9402i | 0.00418501 | − | 0.666281i | ||||
\(726\) | 27.2141 | − | 2.06865i | 1.01001 | − | 0.0767748i | ||||
\(727\) | 41.6206 | − | 3.64133i | 1.54362 | − | 0.135049i | 0.716706 | − | 0.697376i | \(-0.245649\pi\) |
0.826915 | + | 0.562326i | \(0.190094\pi\) | |||||||
\(728\) | −10.9952 | − | 7.69890i | −0.407508 | − | 0.285340i | ||||
\(729\) | −26.9369 | − | 1.84509i | −0.997662 | − | 0.0683368i | ||||
\(730\) | 19.5866 | + | 9.20839i | 0.724933 | + | 0.340818i | ||||
\(731\) | 15.2086 | − | 41.7854i | 0.562512 | − | 1.54549i | ||||
\(732\) | 2.05214 | − | 10.9096i | 0.0758493 | − | 0.403231i | ||||
\(733\) | −27.8366 | + | 7.45878i | −1.02817 | + | 0.275496i | −0.733201 | − | 0.680011i | \(-0.761975\pi\) |
−0.294965 | + | 0.955508i | \(0.595308\pi\) | |||||||
\(734\) | 11.8313 | + | 20.4923i | 0.436700 | + | 0.756386i | ||||
\(735\) | 5.80116 | − | 2.60313i | 0.213979 | − | 0.0960178i | ||||
\(736\) | −2.22493 | − | 1.86694i | −0.0820120 | − | 0.0688162i | ||||
\(737\) | −62.6125 | − | 5.47789i | −2.30636 | − | 0.201781i | ||||
\(738\) | 13.7596 | + | 10.1097i | 0.506496 | + | 0.372142i | ||||
\(739\) | −11.4877 | − | 31.5622i | −0.422582 | − | 1.16103i | −0.950224 | − | 0.311567i | \(-0.899146\pi\) |
0.527642 | − | 0.849467i | \(-0.323076\pi\) | |||||||
\(740\) | −10.5487 | − | 8.90798i | −0.387777 | − | 0.327464i | ||||
\(741\) | −33.9039 | − | 27.6965i | −1.24549 | − | 1.01746i | ||||
\(742\) | −11.5477 | + | 11.5477i | −0.423930 | + | 0.423930i | ||||
\(743\) | −2.56767 | + | 5.50639i | −0.0941987 | + | 0.202010i | −0.947761 | − | 0.318981i | \(-0.896659\pi\) |
0.853563 | + | 0.520990i | \(0.174437\pi\) | |||||||
\(744\) | −5.01194 | − | 5.12752i | −0.183747 | − | 0.187984i | ||||
\(745\) | 6.39813 | − | 6.35807i | 0.234409 | − | 0.232942i | ||||
\(746\) | −16.8252 | + | 20.0515i | −0.616013 | + | 0.734136i | ||||
\(747\) | 49.6525 | + | 14.5252i | 1.81669 | + | 0.531449i | ||||
\(748\) | −5.48409 | + | 20.4669i | −0.200518 | + | 0.748344i | ||||
\(749\) | 21.6891 | − | 37.5666i | 0.792502 | − | 1.37265i | ||||
\(750\) | 14.5720 | + | 12.7537i | 0.532095 | + | 0.465698i | ||||
\(751\) | −14.0849 | − | 5.12648i | −0.513965 | − | 0.187068i | 0.0719996 | − | 0.997405i | \(-0.477062\pi\) |
−0.585964 | + | 0.810337i | \(0.699284\pi\) | |||||||
\(752\) | −0.532397 | + | 0.142655i | −0.0194145 | + | 0.00520210i | ||||
\(753\) | 14.9653 | − | 12.2695i | 0.545366 | − | 0.447124i | ||||
\(754\) | −20.4900 | + | 3.61294i | −0.746202 | + | 0.131575i | ||||
\(755\) | 9.50645 | + | 6.70108i | 0.345975 | + | 0.243877i | ||||
\(756\) | −11.0685 | + | 4.70759i | −0.402557 | + | 0.171214i | ||||
\(757\) | −6.62087 | − | 9.45559i | −0.240640 | − | 0.343669i | 0.680606 | − | 0.732649i | \(-0.261716\pi\) |
−0.921246 | + | 0.388980i | \(0.872828\pi\) | |||||||
\(758\) | −7.12821 | + | 15.2865i | −0.258908 | + | 0.555230i | ||||
\(759\) | −21.1447 | − | 15.1677i | −0.767503 | − | 0.550554i | ||||
\(760\) | 3.92901 | − | 8.91980i | 0.142520 | − | 0.323555i | ||||
\(761\) | − | 46.5945i | − | 1.68905i | −0.535518 | − | 0.844524i | \(-0.679884\pi\) | ||
0.535518 | − | 0.844524i | \(-0.320116\pi\) | |||||||
\(762\) | −9.44754 | + | 5.31189i | −0.342248 | + | 0.192429i | ||||
\(763\) | 6.66375 | − | 4.66601i | 0.241244 | − | 0.168921i | ||||
\(764\) | −4.51865 | + | 3.79160i | −0.163479 | + | 0.137175i | ||||
\(765\) | 13.1175 | + | 24.1454i | 0.474263 | + | 0.872978i | ||||
\(766\) | −0.0365976 | − | 0.207555i | −0.00132233 | − | 0.00749928i | ||||
\(767\) | 5.28011 | − | 19.7056i | 0.190654 | − | 0.711530i | ||||
\(768\) | 0.610909 | − | 1.62074i | 0.0220443 | − | 0.0584833i | ||||
\(769\) | 0.628159 | − | 1.72585i | 0.0226520 | − | 0.0622359i | −0.927851 | − | 0.372950i | \(-0.878346\pi\) |
0.950503 | + | 0.310715i | \(0.100568\pi\) | |||||||
\(770\) | 7.01089 | − | 25.8401i | 0.252655 | − | 0.931213i | ||||
\(771\) | −1.03897 | + | 0.470136i | −0.0374175 | + | 0.0169315i | ||||
\(772\) | 4.96940 | + | 1.33155i | 0.178853 | + | 0.0479234i | ||||
\(773\) | −34.4741 | − | 24.1390i | −1.23995 | − | 0.868221i | −0.245090 | − | 0.969500i | \(-0.578818\pi\) |
−0.994858 | + | 0.101279i | \(0.967706\pi\) | |||||||
\(774\) | −11.8331 | + | 30.3408i | −0.425334 | + | 1.09058i | ||||
\(775\) | 13.4040 | − | 15.7720i | 0.481487 | − | 0.566549i | ||||
\(776\) | 8.08604 | + | 1.42579i | 0.290272 | + | 0.0511828i | ||||
\(777\) | 12.1328 | + | 21.5789i | 0.435261 | + | 0.774140i | ||||
\(778\) | −4.66871 | − | 4.66871i | −0.167382 | − | 0.167382i | ||||
\(779\) | 24.1135 | + | 5.83041i | 0.863955 | + | 0.208896i | ||||
\(780\) | 11.5106 | − | 19.2839i | 0.412144 | − | 0.690474i | ||||
\(781\) | −34.9882 | + | 12.7347i | −1.25198 | + | 0.455682i | ||||
\(782\) | 9.74571 | − | 6.82402i | 0.348506 | − | 0.244026i | ||||
\(783\) | −6.97199 | + | 17.2917i | −0.249159 | + | 0.617955i | ||||
\(784\) | 1.05529 | − | 1.25765i | 0.0376890 | − | 0.0449160i | ||||
\(785\) | −3.81752 | − | 2.22006i | −0.136253 | − | 0.0792373i | ||||
\(786\) | 33.9182 | + | 3.35744i | 1.20982 | + | 0.119756i | ||||
\(787\) | 13.5385 | + | 50.5264i | 0.482596 | + | 1.80107i | 0.590650 | + | 0.806928i | \(0.298871\pi\) |
−0.108054 | + | 0.994145i | \(0.534462\pi\) | |||||||
\(788\) | −12.8634 | + | 5.99832i | −0.458241 | + | 0.213681i | ||||
\(789\) | 31.9795 | − | 21.8534i | 1.13850 | − | 0.778000i | ||||
\(790\) | 0.653270 | + | 1.81254i | 0.0232423 | + | 0.0644871i | ||||
\(791\) | −15.5987 | + | 9.00589i | −0.554624 | + | 0.320213i | ||||
\(792\) | 4.35706 | − | 14.8940i | 0.154821 | − | 0.529237i | ||||
\(793\) | −3.23907 | − | 37.0228i | −0.115023 | − | 1.31472i | ||||
\(794\) | −18.3882 | + | 15.4295i | −0.652573 | + | 0.547573i | ||||
\(795\) | −20.6739 | − | 17.8660i | −0.733227 | − | 0.633643i | ||||
\(796\) | −21.2741 | + | 7.74313i | −0.754040 | + | 0.274448i | ||||
\(797\) | −10.0388 | − | 10.0388i | −0.355592 | − | 0.355592i | 0.506593 | − | 0.862185i | \(-0.330905\pi\) |
−0.862185 | + | 0.506593i | \(0.830905\pi\) | |||||||
\(798\) | −12.1939 | + | 12.5192i | −0.431658 | + | 0.443175i | ||||
\(799\) | − | 2.25776i | − | 0.0798738i | ||||||
\(800\) | 4.82141 | + | 1.32440i | 0.170462 | + | 0.0468248i | ||||
\(801\) | 3.15185 | + | 20.6123i | 0.111365 | + | 0.728298i | ||||
\(802\) | 2.72268 | − | 31.1204i | 0.0961411 | − | 1.09890i | ||||
\(803\) | 49.8774 | − | 4.36370i | 1.76013 | − | 0.153992i | ||||
\(804\) | −9.11097 | + | 18.9709i | −0.321319 | + | 0.669053i | ||||
\(805\) | −12.3417 | + | 8.58413i | −0.434988 | + | 0.302551i | ||||
\(806\) | −20.7885 | − | 12.0023i | −0.732244 | − | 0.422761i | ||||
\(807\) | 31.7989 | + | 5.98150i | 1.11937 | + | 0.210559i | ||||
\(808\) | 1.29678 | + | 2.78095i | 0.0456204 | + | 0.0978333i | ||||
\(809\) | −15.7178 | + | 27.2240i | −0.552608 | + | 0.957145i | 0.445477 | + | 0.895293i | \(0.353034\pi\) |
−0.998085 | + | 0.0618519i | \(0.980299\pi\) | |||||||
\(810\) | −9.20134 | − | 17.8979i | −0.323302 | − | 0.628869i | ||||
\(811\) | −1.88407 | − | 10.6851i | −0.0661585 | − | 0.375203i | −0.999853 | − | 0.0171334i | \(-0.994546\pi\) |
0.933695 | − | 0.358070i | \(-0.116565\pi\) | |||||||
\(812\) | 0.723891 | + | 8.27411i | 0.0254036 | + | 0.290364i | ||||
\(813\) | 22.0190 | − | 25.6418i | 0.772238 | − | 0.899299i | ||||
\(814\) | −31.4543 | − | 5.54624i | −1.10247 | − | 0.194396i | ||||
\(815\) | 26.0554 | + | 9.57618i | 0.912682 | + | 0.335439i | ||||
\(816\) | 5.76505 | + | 4.13545i | 0.201817 | + | 0.144770i | ||||
\(817\) | 1.16213 | + | 47.3040i | 0.0406576 | + | 1.65496i | ||||
\(818\) | 4.70471 | − | 4.70471i | 0.164496 | − | 0.164496i | ||||
\(819\) | −31.4290 | + | 25.1738i | −1.09822 | + | 0.879644i | ||||
\(820\) | −1.14899 | + | 12.6744i | −0.0401245 | + | 0.442610i | ||||
\(821\) | 14.2485 | + | 16.9807i | 0.497276 | + | 0.592631i | 0.955053 | − | 0.296437i | \(-0.0957983\pi\) |
−0.457776 | + | 0.889067i | \(0.651354\pi\) | |||||||
\(822\) | 2.87586 | − | 4.85254i | 0.100307 | − | 0.169252i | ||||
\(823\) | −6.58995 | + | 9.41142i | −0.229711 | + | 0.328061i | −0.917416 | − | 0.397928i | \(-0.869729\pi\) |
0.687705 | + | 0.725990i | \(0.258618\pi\) | |||||||
\(824\) | −3.17195 | − | 5.49399i | −0.110500 | − | 0.191392i | ||||
\(825\) | 43.9724 | + | 8.55768i | 1.53092 | + | 0.297940i | ||||
\(826\) | −7.65278 | − | 2.78538i | −0.266274 | − | 0.0969159i | ||||
\(827\) | −2.81876 | − | 6.04486i | −0.0980180 | − | 0.210200i | 0.851184 | − | 0.524867i | \(-0.175885\pi\) |
−0.949202 | + | 0.314667i | \(0.898107\pi\) | |||||||
\(828\) | −7.24960 | + | 4.83376i | −0.251941 | + | 0.167985i | ||||
\(829\) | −49.5743 | + | 28.6218i | −1.72179 | + | 0.994075i | −0.806545 | + | 0.591173i | \(0.798665\pi\) |
−0.915243 | + | 0.402901i | \(0.868002\pi\) | |||||||
\(830\) | 9.86300 | + | 37.2771i | 0.342350 | + | 1.29391i | ||||
\(831\) | −33.5461 | + | 8.58006i | −1.16370 | + | 0.297639i | ||||
\(832\) | 0.505384 | − | 5.77656i | 0.0175210 | − | 0.200266i | ||||
\(833\) | 3.85729 | + | 5.50878i | 0.133647 | + | 0.190868i | ||||
\(834\) | −0.244742 | + | 0.873444i | −0.00847474 | + | 0.0302449i | ||||
\(835\) | −0.124372 | − | 0.105028i | −0.00430407 | − | 0.00363464i | ||||
\(836\) | −2.51621 | − | 22.4067i | −0.0870248 | − | 0.774951i | ||||
\(837\) | −18.9854 | + | 10.1121i | −0.656232 | + | 0.349524i | ||||
\(838\) | 21.1054 | + | 9.84161i | 0.729074 | + | 0.339973i | ||||
\(839\) | −2.06023 | + | 11.6841i | −0.0711270 | + | 0.403381i | 0.928370 | + | 0.371658i | \(0.121211\pi\) |
−0.999497 | + | 0.0317233i | \(0.989900\pi\) | |||||||
\(840\) | −7.26828 | − | 5.24842i | −0.250780 | − | 0.181088i | ||||
\(841\) | −12.3529 | − | 10.3653i | −0.425960 | − | 0.357423i | ||||
\(842\) | 3.40675 | − | 4.86535i | 0.117404 | − | 0.167671i | ||||
\(843\) | −10.2937 | + | 8.43937i | −0.354533 | + | 0.290667i | ||||
\(844\) | −0.961679 | − | 0.555226i | −0.0331023 | − | 0.0191117i | ||||
\(845\) | 12.0758 | − | 44.5078i | 0.415419 | − | 1.53111i | ||||
\(846\) | −0.0376918 | + | 1.65310i | −0.00129587 | + | 0.0568349i | ||||
\(847\) | −9.44043 | − | 35.2322i | −0.324377 | − | 1.21059i | ||||
\(848\) | −6.81465 | − | 1.82598i | −0.234016 | − | 0.0627044i | ||||
\(849\) | 11.8822 | − | 24.7413i | 0.407798 | − | 0.849120i | ||||
\(850\) | −10.3518 | + | 17.6726i | −0.355065 | + | 0.606166i | ||||
\(851\) | 11.5275 | + | 13.7380i | 0.395159 | + | 0.470932i | ||||
\(852\) | −0.142104 | + | 12.4666i | −0.00486841 | + | 0.427097i | ||||
\(853\) | 13.8063 | + | 6.43800i | 0.472720 | + | 0.220433i | 0.644353 | − | 0.764728i | \(-0.277127\pi\) |
−0.171633 | + | 0.985161i | \(0.554904\pi\) | |||||||
\(854\) | −14.8358 | −0.507671 | ||||||||
\(855\) | −22.3736 | − | 18.8261i | −0.765160 | − | 0.643840i | ||||
\(856\) | 18.7396 | 0.640505 | ||||||||
\(857\) | −29.2125 | − | 13.6220i | −0.997881 | − | 0.465320i | −0.146130 | − | 0.989265i | \(-0.546682\pi\) |
−0.851752 | + | 0.523946i | \(0.824459\pi\) | |||||||
\(858\) | 0.592162 | − | 51.9493i | 0.0202161 | − | 1.77352i | ||||
\(859\) | 4.27250 | + | 5.09177i | 0.145776 | + | 0.173729i | 0.833992 | − | 0.551777i | \(-0.186050\pi\) |
−0.688216 | + | 0.725506i | \(0.741606\pi\) | |||||||
\(860\) | −23.9181 | + | 4.14000i | −0.815601 | + | 0.141173i | ||||
\(861\) | 9.87875 | − | 20.5696i | 0.336667 | − | 0.701011i | ||||
\(862\) | 0.934219 | + | 0.250323i | 0.0318196 | + | 0.00852604i | ||||
\(863\) | 7.49216 | + | 27.9611i | 0.255036 | + | 0.951807i | 0.968070 | + | 0.250678i | \(0.0806536\pi\) |
−0.713034 | + | 0.701129i | \(0.752680\pi\) | |||||||
\(864\) | −4.15206 | − | 3.12417i | −0.141256 | − | 0.106286i | ||||
\(865\) | −24.8435 | + | 14.2396i | −0.844706 | + | 0.484160i | ||||
\(866\) | 8.90062 | + | 5.13877i | 0.302455 | + | 0.174623i | ||||
\(867\) | 0.295666 | − | 0.242404i | 0.0100413 | − | 0.00823248i | ||||
\(868\) | −5.49630 | + | 7.84954i | −0.186557 | + | 0.266431i | ||||
\(869\) | 3.41427 | + | 2.86491i | 0.115821 | + | 0.0971854i | ||||
\(870\) | −13.7192 | + | 2.21391i | −0.465124 | + | 0.0750586i | ||||
\(871\) | −12.2346 | + | 69.3860i | −0.414555 | + | 2.35106i | ||||
\(872\) | 3.18506 | + | 1.48522i | 0.107860 | + | 0.0502959i | ||||
\(873\) | 10.9162 | − | 22.0814i | 0.369459 | − | 0.747341i | ||||
\(874\) | −7.00468 | + | 10.5458i | −0.236937 | + | 0.356717i | ||||
\(875\) | 13.1507 | − | 22.2900i | 0.444574 | − | 0.753538i | ||||
\(876\) | 4.52334 | − | 16.1430i | 0.152829 | − | 0.545423i | ||||
\(877\) | 21.4818 | + | 30.6792i | 0.725389 | + | 1.03596i | 0.997285 | + | 0.0736359i | \(0.0234603\pi\) |
−0.271897 | + | 0.962326i | \(0.587651\pi\) | |||||||
\(878\) | 2.95814 | − | 33.8117i | 0.0998323 | − | 1.14109i | ||||
\(879\) | −4.36213 | + | 1.11570i | −0.147131 | + | 0.0376316i | ||||
\(880\) | 11.1819 | − | 2.95856i | 0.376940 | − | 0.0997331i | ||||
\(881\) | 16.5520 | − | 9.55631i | 0.557651 | − | 0.321960i | −0.194551 | − | 0.980892i | \(-0.562325\pi\) |
0.752202 | + | 0.658932i | \(0.228992\pi\) | |||||||
\(882\) | −2.73229 | − | 4.09785i | −0.0920011 | − | 0.137982i | ||||
\(883\) | −6.90086 | − | 14.7989i | −0.232232 | − | 0.498024i | 0.755312 | − | 0.655366i | \(-0.227485\pi\) |
−0.987544 | + | 0.157341i | \(0.949708\pi\) | |||||||
\(884\) | 22.3202 | + | 8.12388i | 0.750709 | + | 0.273236i | ||||
\(885\) | 3.71764 | − | 13.1090i | 0.124967 | − | 0.440655i | ||||
\(886\) | 14.2860 | + | 24.7440i | 0.479947 | + | 0.831292i | ||||
\(887\) | −23.4810 | + | 33.5344i | −0.788415 | + | 1.12597i | 0.200818 | + | 0.979629i | \(0.435640\pi\) |
−0.989234 | + | 0.146345i | \(0.953249\pi\) | |||||||
\(888\) | −5.45255 | + | 9.20030i | −0.182976 | + | 0.308742i | ||||
\(889\) | 9.31078 | + | 11.0962i | 0.312274 | + | 0.372153i | ||||
\(890\) | −11.9372 | + | 9.95279i | −0.400136 | + | 0.333618i | ||||
\(891\) | −39.2148 | − | 25.0908i | −1.31374 | − | 0.840573i | ||||
\(892\) | 14.7493 | − | 14.7493i | 0.493842 | − | 0.493842i | ||||
\(893\) | 0.876912 | + | 2.23678i | 0.0293447 | + | 0.0748508i | ||||
\(894\) | −5.67728 | − | 4.07249i | −0.189877 | − | 0.136205i | ||||
\(895\) | 28.1696 | − | 13.0282i | 0.941608 | − | 0.435484i | ||||
\(896\) | −2.27962 | − | 0.401959i | −0.0761569 | − | 0.0134285i | ||||
\(897\) | −19.0041 | + | 22.1310i | −0.634529 | + | 0.738931i | ||||
\(898\) | −1.21589 | − | 13.8976i | −0.0405746 | − | 0.463770i | ||||
\(899\) | 2.57931 | + | 14.6280i | 0.0860247 | + | 0.487870i | ||||
\(900\) | 7.87451 | − | 12.7668i | 0.262484 | − | 0.425561i | ||||
\(901\) | 14.4496 | − | 25.0275i | 0.481386 | − | 0.833786i | ||||
\(902\) | 12.4420 | + | 26.6820i | 0.414274 | + | 0.888413i | ||||
\(903\) | 42.7734 | + | 8.04585i | 1.42341 | + | 0.267749i | ||||
\(904\) | −6.73869 | − | 3.89058i | −0.224125 | − | 0.129399i | ||||
\(905\) | 30.2639 | + | 43.5115i | 1.00601 | + | 1.44637i | ||||
\(906\) | 3.90028 | − | 8.12120i | 0.129578 | − | 0.269809i | ||||
\(907\) | 21.1485 | − | 1.85025i | 0.702224 | − | 0.0614366i | 0.269549 | − | 0.962987i | \(-0.413125\pi\) |
0.432675 | + | 0.901550i | \(0.357570\pi\) | |||||||
\(908\) | −0.215898 | + | 2.46773i | −0.00716484 | + | 0.0818945i | ||||
\(909\) | 9.09953 | − | 1.39142i | 0.301812 | − | 0.0461506i | ||||
\(910\) | −28.1714 | − | 10.3539i | −0.933874 | − | 0.343228i | ||||
\(911\) | 10.6886i | 0.354130i | 0.984199 | + | 0.177065i | \(0.0566603\pi\) | ||||
−0.984199 | + | 0.177065i | \(0.943340\pi\) | |||||||
\(912\) | −7.31767 | − | 1.85788i | −0.242312 | − | 0.0615204i | ||||
\(913\) | 63.0749 | + | 63.0749i | 2.08748 | + | 2.08748i | ||||
\(914\) | −26.4347 | + | 9.62143i | −0.874381 | + | 0.318249i | ||||
\(915\) | −1.80369 | − | 24.7568i | −0.0596280 | − | 0.818436i | ||||
\(916\) | −21.7205 | + | 18.2257i | −0.717666 | + | 0.602193i | ||||
\(917\) | −3.97006 | − | 45.3780i | −0.131103 | − | 1.49851i | ||||
\(918\) | 16.7633 | − | 13.1161i | 0.553270 | − | 0.432897i | ||||
\(919\) | −22.8819 | + | 13.2109i | −0.754803 | + | 0.435786i | −0.827427 | − | 0.561574i | \(-0.810196\pi\) |
0.0726237 | + | 0.997359i | \(0.476863\pi\) | |||||||
\(920\) | −5.87739 | − | 2.76318i | −0.193772 | − | 0.0910992i | ||||
\(921\) | 33.0782 | − | 22.6042i | 1.08996 | − | 0.744832i | ||||
\(922\) | 4.20286 | − | 1.95983i | 0.138414 | − | 0.0645435i | ||||
\(923\) | 10.8028 | + | 40.3165i | 0.355578 | + | 1.32703i | ||||
\(924\) | −20.6384 | − | 2.04292i | −0.678955 | − | 0.0672072i | ||||
\(925\) | −27.8978 | − | 13.2229i | −0.917274 | − | 0.434767i | ||||
\(926\) | −5.21636 | + | 6.21662i | −0.171420 | + | 0.204291i | ||||
\(927\) | −18.4907 | + | 4.50545i | −0.607316 | + | 0.147978i | ||||
\(928\) | −2.93920 | + | 2.05805i | −0.0964841 | + | 0.0675589i | ||||
\(929\) | 12.7373 | − | 4.63601i | 0.417899 | − | 0.152103i | −0.124508 | − | 0.992219i | \(-0.539735\pi\) |
0.542407 | + | 0.840116i | \(0.317513\pi\) | |||||||
\(930\) | −13.7669 | − | 8.21749i | −0.451435 | − | 0.269462i | ||||
\(931\) | −5.96104 | − | 3.95941i | −0.195365 | − | 0.129764i | ||||
\(932\) | 13.8951 | + | 13.8951i | 0.455148 | + | 0.455148i | ||||
\(933\) | −20.0157 | − | 35.5992i | −0.655285 | − | 1.16547i | ||||
\(934\) | −0.712185 | − | 0.125577i | −0.0233034 | − | 0.00410902i | ||||
\(935\) | −0.148798 | + | 47.3796i | −0.00486620 | + | 1.54948i | ||||
\(936\) | −16.2069 | − | 6.32082i | −0.529740 | − | 0.206602i | ||||
\(937\) | 11.2626 | + | 7.88614i | 0.367932 | + | 0.257629i | 0.742891 | − | 0.669413i | \(-0.233454\pi\) |
−0.374959 | + | 0.927042i | \(0.622343\pi\) | |||||||
\(938\) | 27.1676 | + | 7.27953i | 0.887053 | + | 0.237685i | ||||
\(939\) | 24.3329 | − | 11.0107i | 0.794076 | − | 0.359322i | ||||
\(940\) | −1.06928 | + | 0.612880i | −0.0348761 | + | 0.0199899i | ||||
\(941\) | −1.51330 | + | 4.15775i | −0.0493321 | + | 0.135539i | −0.961912 | − | 0.273360i | \(-0.911865\pi\) |
0.912580 | + | 0.408899i | \(0.134087\pi\) | |||||||
\(942\) | −1.20651 | + | 3.20087i | −0.0393104 | + | 0.104290i | ||||
\(943\) | 4.27838 | − | 15.9671i | 0.139323 | − | 0.519961i | ||||
\(944\) | −0.610931 | − | 3.46476i | −0.0198841 | − | 0.112768i | ||||
\(945\) | −21.2341 | + | 16.5070i | −0.690744 | + | 0.536971i | ||||
\(946\) | −43.0158 | + | 36.0945i | −1.39856 | + | 1.17353i | ||||
\(947\) | 34.4936 | − | 24.1527i | 1.12089 | − | 0.784856i | 0.142127 | − | 0.989848i | \(-0.454606\pi\) |
0.978764 | + | 0.204992i | \(0.0657170\pi\) | |||||||
\(948\) | 1.30087 | − | 0.731415i | 0.0422503 | − | 0.0237553i | ||||
\(949\) | − | 56.1258i | − | 1.82192i | ||||||
\(950\) | 3.39159 | − | 21.5290i | 0.110038 | − | 0.698492i | ||||
\(951\) | −27.0992 | − | 19.4391i | −0.878752 | − | 0.630357i | ||||
\(952\) | 4.00725 | − | 8.59358i | 0.129876 | − | 0.278519i | ||||
\(953\) | −12.9711 | − | 18.5246i | −0.420175 | − | 0.600072i | 0.552139 | − | 0.833752i | \(-0.313812\pi\) |
−0.972313 | + | 0.233681i | \(0.924923\pi\) | |||||||
\(954\) | −10.9976 | + | 18.0836i | −0.356062 | + | 0.585477i | ||||
\(955\) | −7.59928 | + | 10.7807i | −0.245907 | + | 0.348855i | ||||
\(956\) | −18.6060 | + | 3.28074i | −0.601761 | + | 0.106107i | ||||
\(957\) | −24.8604 | + | 20.3820i | −0.803621 | + | 0.658856i | ||||
\(958\) | 5.73475 | − | 1.53662i | 0.185281 | − | 0.0496460i | ||||
\(959\) | −7.08388 | − | 2.57832i | −0.228751 | − | 0.0832584i | ||||
\(960\) | 0.393610 | − | 3.85293i | 0.0127037 | − | 0.124353i | ||||
\(961\) | 6.93149 | − | 12.0057i | 0.223596 | − | 0.387280i | ||||
\(962\) | −9.26676 | + | 34.5840i | −0.298772 | + | 1.11503i | ||||
\(963\) | 15.7845 | − | 53.9573i | 0.508648 | − | 1.73875i | ||||
\(964\) | 7.81135 | − | 9.30920i | 0.251587 | − | 0.299829i | ||||
\(965\) | 11.5038 | + | 0.0361283i | 0.370322 | + | 0.00116301i | ||||
\(966\) | 8.13978 | + | 8.32749i | 0.261893 | + | 0.267933i | ||||
\(967\) | 3.12805 | − | 6.70812i | 0.100591 | − | 0.215718i | −0.849571 | − | 0.527474i | \(-0.823139\pi\) |
0.950162 | + | 0.311756i | \(0.100917\pi\) | |||||||
\(968\) | 11.1421 | − | 11.1421i | 0.358122 | − | 0.358122i | ||||
\(969\) | 15.1091 | − | 26.9839i | 0.485375 | − | 0.866849i | ||||
\(970\) | 18.2949 | − | 1.54272i | 0.587415 | − | 0.0495337i | ||||
\(971\) | 5.07557 | + | 13.9450i | 0.162883 | + | 0.447517i | 0.994105 | − | 0.108424i | \(-0.0345804\pi\) |
−0.831222 | + | 0.555941i | \(0.812358\pi\) | |||||||
\(972\) | −12.4928 | + | 9.32360i | −0.400707 | + | 0.299055i | ||||
\(973\) | 1.20766 | + | 0.105656i | 0.0387157 | + | 0.00338718i | ||||
\(974\) | −18.3047 | − | 15.3595i | −0.586522 | − | 0.492150i | ||||
\(975\) | 13.8528 | − | 48.2691i | 0.443643 | − | 1.54585i | ||||
\(976\) | −3.20457 | − | 5.55047i | −0.102576 | − | 0.177666i | ||||
\(977\) | −19.9532 | + | 5.34644i | −0.638359 | + | 0.171048i | −0.563460 | − | 0.826143i | \(-0.690530\pi\) |
−0.0748992 | + | 0.997191i | \(0.523863\pi\) | |||||||
\(978\) | 3.97497 | − | 21.1318i | 0.127106 | − | 0.675721i | ||||
\(979\) | −12.2969 | + | 33.7855i | −0.393011 | + | 1.07979i | ||||
\(980\) | 1.56189 | − | 3.32221i | 0.0498928 | − | 0.106124i | ||||
\(981\) | 6.95924 | − | 7.91982i | 0.222191 | − | 0.252860i | ||||
\(982\) | −11.7525 | − | 8.22921i | −0.375038 | − | 0.262605i | ||||
\(983\) | 34.2022 | − | 2.99230i | 1.09088 | − | 0.0954396i | 0.472509 | − | 0.881326i | \(-0.343348\pi\) |
0.618371 | + | 0.785886i | \(0.287793\pi\) | |||||||
\(984\) | 9.82948 | − | 0.747178i | 0.313352 | − | 0.0238192i | ||||
\(985\) | −24.3759 | + | 20.3237i | −0.776681 | + | 0.647567i | ||||
\(986\) | −5.02693 | − | 13.8114i | −0.160090 | − | 0.439844i | ||||
\(987\) | 2.18052 | − | 0.358907i | 0.0694066 | − | 0.0114241i | ||||
\(988\) | −25.2680 | + | 0.620764i | −0.803883 | + | 0.0197491i | ||||
\(989\) | 31.5293 | 1.00257 | ||||||||
\(990\) | 0.899918 | − | 34.6882i | 0.0286013 | − | 1.10246i | ||||
\(991\) | −7.73658 | + | 43.8763i | −0.245761 | + | 1.39378i | 0.572959 | + | 0.819584i | \(0.305795\pi\) |
−0.818720 | + | 0.574194i | \(0.805316\pi\) | |||||||
\(992\) | −4.12394 | − | 0.360798i | −0.130935 | − | 0.0114553i | ||||
\(993\) | −28.3225 | − | 16.7853i | −0.898788 | − | 0.532666i | ||||
\(994\) | 16.4088 | − | 2.89332i | 0.520456 | − | 0.0917705i | ||||
\(995\) | −41.5591 | + | 28.9059i | −1.31751 | + | 0.916379i | ||||
\(996\) | 27.2120 | − | 12.3135i | 0.862245 | − | 0.390169i | ||||
\(997\) | −26.3048 | + | 12.2661i | −0.833082 | + | 0.388472i | −0.791879 | − | 0.610678i | \(-0.790897\pi\) |
−0.0412031 | + | 0.999151i | \(0.513119\pi\) | |||||||
\(998\) | 3.52684 | − | 1.64459i | 0.111640 | − | 0.0520587i | ||||
\(999\) | 21.8979 | + | 23.4492i | 0.692820 | + | 0.741899i |
(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.bi.a.233.10 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.233.22 | yes | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.347.40 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.347.9 | yes | 480 | |
19.4 | even | 9 | inner | 570.2.bi.a.23.9 | ✓ | 480 | |
57.23 | odd | 18 | inner | 570.2.bi.a.23.40 | yes | 480 | |
95.42 | odd | 36 | inner | 570.2.bi.a.137.22 | yes | 480 | |
285.137 | even | 36 | inner | 570.2.bi.a.137.10 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.9 | ✓ | 480 | 19.4 | even | 9 | inner | |
570.2.bi.a.23.40 | yes | 480 | 57.23 | odd | 18 | inner | |
570.2.bi.a.137.10 | yes | 480 | 285.137 | even | 36 | inner | |
570.2.bi.a.137.22 | yes | 480 | 95.42 | odd | 36 | inner | |
570.2.bi.a.233.10 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.233.22 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.347.9 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.347.40 | yes | 480 | 5.2 | odd | 4 | inner |