Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 119.38 | ||
Character | \(\chi\) | \(=\) | 300.119 |
Dual form | 300.2.r.a.179.38 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.665414 | − | 1.24789i | 0.470519 | − | 0.882390i | ||||
\(3\) | 1.31594 | + | 1.12619i | 0.759757 | + | 0.650207i | ||||
\(4\) | −1.11445 | − | 1.66072i | −0.557224 | − | 0.830362i | ||||
\(5\) | 2.18921 | − | 0.455347i | 0.979046 | − | 0.203638i | ||||
\(6\) | 2.28100 | − | 0.892759i | 0.931216 | − | 0.364467i | ||||
\(7\) | −0.246481 | −0.0931612 | −0.0465806 | − | 0.998915i | \(-0.514832\pi\) | ||||
−0.0465806 | + | 0.998915i | \(0.514832\pi\) | |||||||
\(8\) | −2.81397 | + | 0.285636i | −0.994888 | + | 0.100988i | ||||
\(9\) | 0.463385 | + | 2.96400i | 0.154462 | + | 0.987999i | ||||
\(10\) | 0.888512 | − | 3.03489i | 0.280972 | − | 0.959716i | ||||
\(11\) | −1.26970 | − | 3.90772i | −0.382828 | − | 1.17822i | −0.938044 | − | 0.346516i | \(-0.887365\pi\) |
0.555216 | − | 0.831706i | \(-0.312635\pi\) | |||||||
\(12\) | 0.403750 | − | 3.44049i | 0.116553 | − | 0.993185i | ||||
\(13\) | 3.99376 | + | 1.29765i | 1.10767 | + | 0.359904i | 0.805050 | − | 0.593207i | \(-0.202138\pi\) |
0.302621 | + | 0.953111i | \(0.402138\pi\) | |||||||
\(14\) | −0.164012 | + | 0.307581i | −0.0438341 | + | 0.0822045i | ||||
\(15\) | 3.39368 | + | 1.86627i | 0.876244 | + | 0.481868i | ||||
\(16\) | −1.51601 | + | 3.70158i | −0.379003 | + | 0.925395i | ||||
\(17\) | −1.31423 | − | 0.954847i | −0.318749 | − | 0.231584i | 0.416893 | − | 0.908956i | \(-0.363119\pi\) |
−0.735641 | + | 0.677371i | \(0.763119\pi\) | |||||||
\(18\) | 4.00708 | + | 1.39403i | 0.944477 | + | 0.328577i | ||||
\(19\) | −3.07602 | + | 4.23377i | −0.705686 | + | 0.971294i | 0.294193 | + | 0.955746i | \(0.404949\pi\) |
−0.999879 | + | 0.0155480i | \(0.995051\pi\) | |||||||
\(20\) | −3.19597 | − | 3.12822i | −0.714641 | − | 0.699491i | ||||
\(21\) | −0.324354 | − | 0.277585i | −0.0707799 | − | 0.0605740i | ||||
\(22\) | −5.72127 | − | 1.01582i | −1.21978 | − | 0.216573i | ||||
\(23\) | −0.275788 | + | 0.0896090i | −0.0575058 | + | 0.0186848i | −0.337629 | − | 0.941279i | \(-0.609625\pi\) |
0.280123 | + | 0.959964i | \(0.409625\pi\) | |||||||
\(24\) | −4.02469 | − | 2.79319i | −0.821536 | − | 0.570157i | ||||
\(25\) | 4.58532 | − | 1.99371i | 0.917064 | − | 0.398741i | ||||
\(26\) | 4.27683 | − | 4.12029i | 0.838756 | − | 0.808056i | ||||
\(27\) | −2.72824 | + | 4.42230i | −0.525050 | + | 0.851071i | ||||
\(28\) | 0.274691 | + | 0.409338i | 0.0519116 | + | 0.0773575i | ||||
\(29\) | −3.35289 | − | 4.61486i | −0.622617 | − | 0.856958i | 0.374923 | − | 0.927056i | \(-0.377669\pi\) |
−0.997540 | + | 0.0700974i | \(0.977669\pi\) | |||||||
\(30\) | 4.58709 | − | 2.99309i | 0.837485 | − | 0.546461i | ||||
\(31\) | −2.15241 | + | 2.96253i | −0.386584 | + | 0.532087i | −0.957314 | − | 0.289051i | \(-0.906660\pi\) |
0.570730 | + | 0.821138i | \(0.306660\pi\) | |||||||
\(32\) | 3.61038 | + | 4.35490i | 0.638231 | + | 0.769845i | ||||
\(33\) | 2.73000 | − | 6.57224i | 0.475232 | − | 1.14408i | ||||
\(34\) | −2.06605 | + | 1.00465i | −0.354325 | + | 0.172296i | ||||
\(35\) | −0.539600 | + | 0.112235i | −0.0912091 | + | 0.0189711i | ||||
\(36\) | 4.40596 | − | 4.07277i | 0.734327 | − | 0.678796i | ||||
\(37\) | −3.54844 | − | 1.15296i | −0.583361 | − | 0.189545i | 0.00244493 | − | 0.999997i | \(-0.499222\pi\) |
−0.585806 | + | 0.810452i | \(0.699222\pi\) | |||||||
\(38\) | 3.23645 | + | 6.65574i | 0.525021 | + | 1.07970i | ||||
\(39\) | 3.79414 | + | 6.20537i | 0.607549 | + | 0.993655i | ||||
\(40\) | −6.03031 | + | 1.90665i | −0.953476 | + | 0.301468i | ||||
\(41\) | 6.74545 | + | 2.19173i | 1.05346 | + | 0.342291i | 0.784026 | − | 0.620728i | \(-0.213163\pi\) |
0.269436 | + | 0.963018i | \(0.413163\pi\) | |||||||
\(42\) | −0.562225 | + | 0.220048i | −0.0867532 | + | 0.0339542i | ||||
\(43\) | −5.82052 | −0.887621 | −0.443810 | − | 0.896121i | \(-0.646374\pi\) | ||||
−0.443810 | + | 0.896121i | \(0.646374\pi\) | |||||||
\(44\) | −5.07464 | + | 6.46356i | −0.765031 | + | 0.974419i | ||||
\(45\) | 2.36410 | + | 6.27782i | 0.352419 | + | 0.935842i | ||||
\(46\) | −0.0716913 | + | 0.403780i | −0.0105703 | + | 0.0595340i | ||||
\(47\) | −1.31078 | − | 1.80414i | −0.191197 | − | 0.263160i | 0.702646 | − | 0.711539i | \(-0.252002\pi\) |
−0.893844 | + | 0.448379i | \(0.852002\pi\) | |||||||
\(48\) | −6.16367 | + | 3.16373i | −0.889649 | + | 0.456645i | ||||
\(49\) | −6.93925 | −0.991321 | ||||||||
\(50\) | 0.563214 | − | 7.04860i | 0.0796505 | − | 0.996823i | ||||
\(51\) | −0.654110 | − | 2.73660i | −0.0915937 | − | 0.383200i | ||||
\(52\) | −2.29580 | − | 8.07871i | −0.318370 | − | 1.12032i | ||||
\(53\) | −6.78949 | + | 4.93285i | −0.932608 | + | 0.677580i | −0.946630 | − | 0.322322i | \(-0.895537\pi\) |
0.0140218 | + | 0.999902i | \(0.495537\pi\) | |||||||
\(54\) | 3.70312 | + | 6.34720i | 0.503930 | + | 0.863744i | ||||
\(55\) | −4.55901 | − | 7.97668i | −0.614736 | − | 1.07558i | ||||
\(56\) | 0.693590 | − | 0.0704039i | 0.0926849 | − | 0.00940812i | ||||
\(57\) | −8.81589 | + | 2.10720i | −1.16769 | + | 0.279105i | ||||
\(58\) | −7.98989 | + | 1.11324i | −1.04912 | + | 0.146176i | ||||
\(59\) | 1.91013 | − | 5.87878i | 0.248678 | − | 0.765352i | −0.746332 | − | 0.665574i | \(-0.768187\pi\) |
0.995010 | − | 0.0997779i | \(-0.0318132\pi\) | |||||||
\(60\) | −0.682724 | − | 7.71582i | −0.0881393 | − | 0.996108i | ||||
\(61\) | 3.54587 | + | 10.9131i | 0.454002 | + | 1.39728i | 0.872302 | + | 0.488967i | \(0.162626\pi\) |
−0.418300 | + | 0.908309i | \(0.637374\pi\) | |||||||
\(62\) | 2.26467 | + | 4.65727i | 0.287613 | + | 0.591474i | ||||
\(63\) | −0.114216 | − | 0.730570i | −0.0143898 | − | 0.0920431i | ||||
\(64\) | 7.83682 | − | 1.60754i | 0.979603 | − | 0.200943i | ||||
\(65\) | 9.33409 | + | 1.02229i | 1.15775 | + | 0.126799i | ||||
\(66\) | −6.38483 | − | 7.78000i | −0.785919 | − | 0.957651i | ||||
\(67\) | 5.77139 | + | 4.19316i | 0.705087 | + | 0.512276i | 0.881585 | − | 0.472025i | \(-0.156477\pi\) |
−0.176498 | + | 0.984301i | \(0.556477\pi\) | |||||||
\(68\) | −0.121093 | + | 3.24671i | −0.0146846 | + | 0.393721i | ||||
\(69\) | −0.463837 | − | 0.192670i | −0.0558394 | − | 0.0231948i | ||||
\(70\) | −0.219002 | + | 0.748043i | −0.0261757 | + | 0.0894083i | ||||
\(71\) | −12.8785 | + | 9.35677i | −1.52840 | + | 1.11044i | −0.571274 | + | 0.820759i | \(0.693551\pi\) |
−0.957122 | + | 0.289686i | \(0.906449\pi\) | |||||||
\(72\) | −2.15057 | − | 8.20823i | −0.253448 | − | 0.967349i | ||||
\(73\) | 5.72041 | − | 1.85868i | 0.669524 | − | 0.217541i | 0.0455208 | − | 0.998963i | \(-0.485505\pi\) |
0.624003 | + | 0.781422i | \(0.285505\pi\) | |||||||
\(74\) | −3.79995 | + | 3.66086i | −0.441735 | + | 0.425567i | ||||
\(75\) | 8.27929 | + | 2.54035i | 0.956010 | + | 0.293335i | ||||
\(76\) | 10.4592 | + | 0.390097i | 1.19975 | + | 0.0447471i | ||||
\(77\) | 0.312956 | + | 0.963180i | 0.0356647 | + | 0.109765i | ||||
\(78\) | 10.2683 | − | 0.605517i | 1.16265 | − | 0.0685613i | ||||
\(79\) | 5.94119 | + | 8.17734i | 0.668436 | + | 0.920023i | 0.999724 | − | 0.0235069i | \(-0.00748317\pi\) |
−0.331288 | + | 0.943530i | \(0.607483\pi\) | |||||||
\(80\) | −1.63337 | + | 8.79387i | −0.182616 | + | 0.983184i | ||||
\(81\) | −8.57055 | + | 2.74694i | −0.952283 | + | 0.305216i | ||||
\(82\) | 7.22355 | − | 6.95915i | 0.797707 | − | 0.768510i | ||||
\(83\) | 10.0850 | − | 13.8808i | 1.10697 | − | 1.52361i | 0.281165 | − | 0.959659i | \(-0.409279\pi\) |
0.825805 | − | 0.563955i | \(-0.190721\pi\) | |||||||
\(84\) | −0.0995168 | + | 0.848017i | −0.0108582 | + | 0.0925262i | ||||
\(85\) | −3.31193 | − | 1.49193i | −0.359229 | − | 0.161823i | ||||
\(86\) | −3.87305 | + | 7.26335i | −0.417642 | + | 0.783227i | ||||
\(87\) | 0.785019 | − | 9.84887i | 0.0841629 | − | 1.05591i | ||||
\(88\) | 4.68907 | + | 10.6335i | 0.499856 | + | 1.13354i | ||||
\(89\) | 6.78124 | − | 2.20336i | 0.718810 | − | 0.233555i | 0.0733027 | − | 0.997310i | \(-0.476646\pi\) |
0.645507 | + | 0.763754i | \(0.276646\pi\) | |||||||
\(90\) | 9.40712 | + | 1.22722i | 0.991598 | + | 0.129361i | ||||
\(91\) | −0.984388 | − | 0.319847i | −0.103192 | − | 0.0335291i | ||||
\(92\) | 0.456167 | + | 0.358143i | 0.0475587 | + | 0.0373390i | ||||
\(93\) | −6.16881 | + | 1.47449i | −0.639676 | + | 0.152897i | ||||
\(94\) | −3.12357 | + | 0.435211i | −0.322172 | + | 0.0448886i | ||||
\(95\) | −4.80622 | + | 10.6693i | −0.493108 | + | 1.09465i | ||||
\(96\) | −0.153411 | + | 9.79676i | −0.0156574 | + | 0.999877i | ||||
\(97\) | −10.0253 | − | 13.7987i | −1.01792 | − | 1.40105i | −0.913652 | − | 0.406496i | \(-0.866750\pi\) |
−0.104267 | − | 0.994549i | \(-0.533250\pi\) | |||||||
\(98\) | −4.61747 | + | 8.65940i | −0.466435 | + | 0.874732i | ||||
\(99\) | 10.9941 | − | 5.57415i | 1.10495 | − | 0.560223i | ||||
\(100\) | −8.42109 | − | 5.39307i | −0.842109 | − | 0.539307i | ||||
\(101\) | 7.63713i | 0.759923i | 0.925002 | + | 0.379962i | \(0.124063\pi\) | ||||
−0.925002 | + | 0.379962i | \(0.875937\pi\) | |||||||
\(102\) | −3.85022 | − | 1.00472i | −0.381229 | − | 0.0994817i | ||||
\(103\) | 6.02762 | − | 4.37932i | 0.593919 | − | 0.431507i | −0.249796 | − | 0.968298i | \(-0.580364\pi\) |
0.843715 | + | 0.536791i | \(0.180364\pi\) | |||||||
\(104\) | −11.6090 | − | 2.51079i | −1.13835 | − | 0.246203i | ||||
\(105\) | −0.836478 | − | 0.460000i | −0.0816319 | − | 0.0448914i | ||||
\(106\) | 1.63782 | + | 11.7549i | 0.159080 | + | 1.14174i | ||||
\(107\) | − | 7.94261i | − | 0.767841i | −0.923366 | − | 0.383921i | \(-0.874574\pi\) | ||
0.923366 | − | 0.383921i | \(-0.125426\pi\) | |||||||
\(108\) | 10.3847 | − | 0.397559i | 0.999268 | − | 0.0382551i | ||||
\(109\) | −2.21780 | + | 6.82569i | −0.212427 | + | 0.653782i | 0.786900 | + | 0.617081i | \(0.211685\pi\) |
−0.999326 | + | 0.0367011i | \(0.988315\pi\) | |||||||
\(110\) | −12.9876 | + | 0.381327i | −1.23832 | + | 0.0363581i | ||||
\(111\) | −3.37108 | − | 5.51345i | −0.319969 | − | 0.523314i | ||||
\(112\) | 0.373669 | − | 0.912371i | 0.0353084 | − | 0.0862109i | ||||
\(113\) | 4.57733 | − | 14.0876i | 0.430599 | − | 1.32525i | −0.466931 | − | 0.884294i | \(-0.654640\pi\) |
0.897530 | − | 0.440954i | \(-0.145360\pi\) | |||||||
\(114\) | −3.23667 | + | 12.4034i | −0.303142 | + | 1.16168i | ||||
\(115\) | −0.562956 | + | 0.321753i | −0.0524959 | + | 0.0300036i | ||||
\(116\) | −3.92739 | + | 10.7113i | −0.364649 | + | 0.994515i | ||||
\(117\) | −1.99559 | + | 12.4388i | −0.184492 | + | 1.14997i | ||||
\(118\) | −6.06503 | − | 6.29545i | −0.558331 | − | 0.579543i | ||||
\(119\) | 0.323934 | + | 0.235352i | 0.0296950 | + | 0.0215747i | ||||
\(120\) | −10.0828 | − | 4.28225i | −0.920427 | − | 0.390915i | ||||
\(121\) | −4.75897 | + | 3.45759i | −0.432633 | + | 0.314327i | ||||
\(122\) | 15.9778 | + | 2.83686i | 1.44656 | + | 0.256837i | ||||
\(123\) | 6.40828 | + | 10.4808i | 0.577815 | + | 0.945026i | ||||
\(124\) | 7.31870 | + | 0.272966i | 0.657238 | + | 0.0245130i | ||||
\(125\) | 9.13041 | − | 6.45256i | 0.816649 | − | 0.577135i | ||||
\(126\) | −0.987670 | − | 0.343603i | −0.0879886 | − | 0.0306106i | ||||
\(127\) | −4.54072 | − | 13.9749i | −0.402924 | − | 1.24007i | −0.922617 | − | 0.385718i | \(-0.873954\pi\) |
0.519693 | − | 0.854353i | \(-0.326046\pi\) | |||||||
\(128\) | 3.20870 | − | 10.8492i | 0.283612 | − | 0.958939i | ||||
\(129\) | −7.65944 | − | 6.55502i | −0.674376 | − | 0.577137i | ||||
\(130\) | 7.48674 | − | 10.9676i | 0.656630 | − | 0.961926i | ||||
\(131\) | 8.33739 | + | 6.05747i | 0.728441 | + | 0.529243i | 0.889070 | − | 0.457771i | \(-0.151352\pi\) |
−0.160629 | + | 0.987015i | \(0.551352\pi\) | |||||||
\(132\) | −13.9571 | + | 2.79063i | −1.21481 | + | 0.242894i | ||||
\(133\) | 0.758180 | − | 1.04355i | 0.0657426 | − | 0.0904869i | ||||
\(134\) | 9.07295 | − | 4.41186i | 0.783784 | − | 0.381126i | ||||
\(135\) | −3.95903 | + | 10.9236i | −0.340739 | + | 0.940158i | ||||
\(136\) | 3.97095 | + | 2.31152i | 0.340506 | + | 0.198211i | ||||
\(137\) | −3.71363 | + | 11.4294i | −0.317277 | + | 0.976477i | 0.657531 | + | 0.753428i | \(0.271601\pi\) |
−0.974807 | + | 0.223049i | \(0.928399\pi\) | |||||||
\(138\) | −0.549074 | + | 0.450611i | −0.0467403 | + | 0.0383585i | ||||
\(139\) | 3.61357 | − | 1.17412i | 0.306499 | − | 0.0995876i | −0.151729 | − | 0.988422i | \(-0.548484\pi\) |
0.458228 | + | 0.888834i | \(0.348484\pi\) | |||||||
\(140\) | 0.787747 | + | 0.771048i | 0.0665768 | + | 0.0651654i | ||||
\(141\) | 0.306896 | − | 3.85032i | 0.0258453 | − | 0.324256i | ||||
\(142\) | 3.10667 | + | 22.2970i | 0.260706 | + | 1.87113i | ||||
\(143\) | − | 17.2541i | − | 1.44286i | ||||||
\(144\) | −11.6740 | − | 2.77820i | −0.972831 | − | 0.231516i | ||||
\(145\) | −9.44157 | − | 8.57619i | −0.784080 | − | 0.712214i | ||||
\(146\) | 1.48703 | − | 8.37522i | 0.123067 | − | 0.693138i | ||||
\(147\) | −9.13162 | − | 7.81492i | −0.753163 | − | 0.644564i | ||||
\(148\) | 2.03981 | + | 7.17790i | 0.167671 | + | 0.590020i | ||||
\(149\) | − | 21.6852i | − | 1.77652i | −0.459343 | − | 0.888259i | \(-0.651915\pi\) | ||
0.459343 | − | 0.888259i | \(-0.348085\pi\) | |||||||
\(150\) | 8.67923 | − | 8.64123i | 0.708656 | − | 0.705554i | ||||
\(151\) | − | 2.19919i | − | 0.178967i | −0.995988 | − | 0.0894837i | \(-0.971478\pi\) | ||
0.995988 | − | 0.0894837i | \(-0.0285217\pi\) | |||||||
\(152\) | 7.44649 | − | 12.7923i | 0.603990 | − | 1.03759i | ||||
\(153\) | 2.22117 | − | 4.33785i | 0.179571 | − | 0.350694i | ||||
\(154\) | 1.41019 | + | 0.250380i | 0.113636 | + | 0.0201762i | ||||
\(155\) | −3.36310 | + | 7.46571i | −0.270130 | + | 0.599661i | ||||
\(156\) | 6.07704 | − | 13.2166i | 0.486553 | − | 1.05817i | ||||
\(157\) | − | 6.23185i | − | 0.497356i | −0.968586 | − | 0.248678i | \(-0.920004\pi\) | ||
0.968586 | − | 0.248678i | \(-0.0799961\pi\) | |||||||
\(158\) | 14.1578 | − | 1.97261i | 1.12633 | − | 0.156933i | ||||
\(159\) | −14.4899 | − | 1.15494i | −1.14912 | − | 0.0915926i | ||||
\(160\) | 9.88689 | + | 7.88983i | 0.781627 | + | 0.623746i | ||||
\(161\) | 0.0679766 | − | 0.0220869i | 0.00535731 | − | 0.00174069i | ||||
\(162\) | −2.27509 | + | 12.5229i | −0.178748 | + | 0.983895i | ||||
\(163\) | 6.19937 | − | 19.0797i | 0.485572 | − | 1.49444i | −0.345578 | − | 0.938390i | \(-0.612317\pi\) |
0.831150 | − | 0.556048i | \(-0.187683\pi\) | |||||||
\(164\) | −3.87759 | − | 13.6449i | −0.302789 | − | 1.06549i | ||||
\(165\) | 2.98391 | − | 15.6311i | 0.232297 | − | 1.21688i | ||||
\(166\) | −10.6110 | − | 21.8214i | −0.823571 | − | 1.69367i | ||||
\(167\) | 0.181596 | − | 0.249946i | 0.0140523 | − | 0.0193414i | −0.801933 | − | 0.597414i | \(-0.796195\pi\) |
0.815985 | + | 0.578073i | \(0.196195\pi\) | |||||||
\(168\) | 0.992010 | + | 0.688468i | 0.0765352 | + | 0.0531165i | ||||
\(169\) | 3.74902 | + | 2.72382i | 0.288386 | + | 0.209525i | ||||
\(170\) | −4.06557 | + | 3.14016i | −0.311815 | + | 0.240839i | ||||
\(171\) | −13.9743 | − | 7.15543i | −1.06864 | − | 0.547190i | ||||
\(172\) | 6.48666 | + | 9.66628i | 0.494603 | + | 0.737047i | ||||
\(173\) | 0.316567 | + | 0.974293i | 0.0240681 | + | 0.0740741i | 0.962369 | − | 0.271746i | \(-0.0876009\pi\) |
−0.938301 | + | 0.345820i | \(0.887601\pi\) | |||||||
\(174\) | −11.7679 | − | 7.53320i | −0.892124 | − | 0.571090i | ||||
\(175\) | −1.13019 | + | 0.491411i | −0.0854347 | + | 0.0371472i | ||||
\(176\) | 16.3896 | + | 1.22427i | 1.23541 | + | 0.0922829i | ||||
\(177\) | 9.13425 | − | 5.58493i | 0.686572 | − | 0.419789i | ||||
\(178\) | 1.76279 | − | 9.92837i | 0.132127 | − | 0.744163i | ||||
\(179\) | 1.64924 | − | 1.19825i | 0.123270 | − | 0.0895611i | −0.524442 | − | 0.851446i | \(-0.675726\pi\) |
0.647712 | + | 0.761885i | \(0.275726\pi\) | |||||||
\(180\) | 7.79107 | − | 10.9224i | 0.580712 | − | 0.814109i | ||||
\(181\) | −3.35962 | − | 2.44090i | −0.249718 | − | 0.181431i | 0.455884 | − | 0.890039i | \(-0.349323\pi\) |
−0.705602 | + | 0.708608i | \(0.749323\pi\) | |||||||
\(182\) | −1.05416 | + | 1.01557i | −0.0781395 | + | 0.0752794i | ||||
\(183\) | −7.62406 | + | 18.3543i | −0.563587 | + | 1.35679i | ||||
\(184\) | 0.750463 | − | 0.330932i | 0.0553249 | − | 0.0243966i | ||||
\(185\) | −8.29330 | − | 0.908300i | −0.609736 | − | 0.0667796i | ||||
\(186\) | −2.26482 | + | 8.67913i | −0.166065 | + | 0.636385i | ||||
\(187\) | −2.06260 | + | 6.34802i | −0.150832 | + | 0.464213i | ||||
\(188\) | −1.53538 | + | 4.18747i | −0.111979 | + | 0.305402i | ||||
\(189\) | 0.672461 | − | 1.09001i | 0.0489143 | − | 0.0792868i | ||||
\(190\) | 10.1160 | + | 13.0971i | 0.733888 | + | 0.950165i | ||||
\(191\) | −3.75858 | + | 11.5677i | −0.271961 | + | 0.837010i | 0.718047 | + | 0.695995i | \(0.245036\pi\) |
−0.990007 | + | 0.141015i | \(0.954964\pi\) | |||||||
\(192\) | 12.1232 | + | 6.71034i | 0.874915 | + | 0.484277i | ||||
\(193\) | 18.6477i | 1.34229i | 0.741325 | + | 0.671146i | \(0.234198\pi\) | ||||
−0.741325 | + | 0.671146i | \(0.765802\pi\) | |||||||
\(194\) | −23.8902 | + | 3.32865i | −1.71522 | + | 0.238983i | ||||
\(195\) | 11.1318 | + | 11.8572i | 0.797164 | + | 0.849114i | ||||
\(196\) | 7.73343 | + | 11.5242i | 0.552388 | + | 0.823156i | ||||
\(197\) | 2.04615 | − | 1.48662i | 0.145782 | − | 0.105917i | −0.512504 | − | 0.858685i | \(-0.671282\pi\) |
0.658286 | + | 0.752768i | \(0.271282\pi\) | |||||||
\(198\) | 0.359723 | − | 17.4285i | 0.0255644 | − | 1.23859i | ||||
\(199\) | − | 6.54235i | − | 0.463775i | −0.972743 | − | 0.231888i | \(-0.925510\pi\) | ||
0.972743 | − | 0.231888i | \(-0.0744901\pi\) | |||||||
\(200\) | −12.3335 | + | 6.91995i | −0.872107 | + | 0.489315i | ||||
\(201\) | 2.87249 | + | 12.0176i | 0.202610 | + | 0.847658i | ||||
\(202\) | 9.53028 | + | 5.08186i | 0.670548 | + | 0.357558i | ||||
\(203\) | 0.826426 | + | 1.13748i | 0.0580037 | + | 0.0798352i | ||||
\(204\) | −3.81577 | + | 4.13609i | −0.267157 | + | 0.289584i | ||||
\(205\) | 15.7652 | + | 1.72664i | 1.10109 | + | 0.120594i | ||||
\(206\) | −1.45404 | − | 10.4359i | −0.101308 | − | 0.727100i | ||||
\(207\) | −0.393397 | − | 0.775911i | −0.0273430 | − | 0.0539296i | ||||
\(208\) | −10.8580 | + | 12.8160i | −0.752864 | + | 0.888629i | ||||
\(209\) | 20.4500 | + | 6.64461i | 1.41456 | + | 0.459617i | ||||
\(210\) | −1.13063 | + | 0.737741i | −0.0780210 | + | 0.0509089i | ||||
\(211\) | 25.3342 | − | 8.23159i | 1.74408 | − | 0.566686i | 0.748719 | − | 0.662888i | \(-0.230669\pi\) |
0.995362 | + | 0.0962019i | \(0.0306694\pi\) | |||||||
\(212\) | 15.7586 | + | 5.77807i | 1.08231 | + | 0.396839i | ||||
\(213\) | −27.4848 | − | 2.19072i | −1.88323 | − | 0.150106i | ||||
\(214\) | −9.91149 | − | 5.28513i | −0.677536 | − | 0.361284i | ||||
\(215\) | −12.7424 | + | 2.65036i | −0.869022 | + | 0.180753i | ||||
\(216\) | 6.41402 | − | 13.2235i | 0.436419 | − | 0.899744i | ||||
\(217\) | 0.530528 | − | 0.730209i | 0.0360146 | − | 0.0495698i | ||||
\(218\) | 7.04193 | + | 7.30947i | 0.476940 | + | 0.495060i | ||||
\(219\) | 9.62093 | + | 3.99638i | 0.650122 | + | 0.270050i | ||||
\(220\) | −8.16630 | + | 16.4609i | −0.550572 | + | 1.10979i | ||||
\(221\) | −4.00968 | − | 5.51885i | −0.269720 | − | 0.371238i | ||||
\(222\) | −9.12333 | + | 0.537999i | −0.612318 | + | 0.0361082i | ||||
\(223\) | 6.10431 | + | 18.7871i | 0.408775 | + | 1.25808i | 0.917702 | + | 0.397269i | \(0.130042\pi\) |
−0.508927 | + | 0.860809i | \(0.669958\pi\) | |||||||
\(224\) | −0.889892 | − | 1.07340i | −0.0594584 | − | 0.0717196i | ||||
\(225\) | 8.03410 | + | 12.6670i | 0.535607 | + | 0.844467i | ||||
\(226\) | −14.5339 | − | 15.0861i | −0.966780 | − | 1.00351i | ||||
\(227\) | 13.0710 | − | 4.24704i | 0.867556 | − | 0.281886i | 0.158775 | − | 0.987315i | \(-0.449246\pi\) |
0.708781 | + | 0.705429i | \(0.249246\pi\) | |||||||
\(228\) | 13.3243 | + | 12.2924i | 0.882425 | + | 0.814084i | ||||
\(229\) | 19.9299 | − | 14.4799i | 1.31700 | − | 0.956858i | 0.317038 | − | 0.948413i | \(-0.397312\pi\) |
0.999964 | − | 0.00844498i | \(-0.00268815\pi\) | |||||||
\(230\) | 0.0269122 | + | 0.916604i | 0.00177454 | + | 0.0604391i | ||||
\(231\) | −0.672894 | + | 1.61993i | −0.0442732 | + | 0.106584i | ||||
\(232\) | 10.7531 | + | 12.0284i | 0.705976 | + | 0.789701i | ||||
\(233\) | −15.5693 | − | 11.3117i | −1.01998 | − | 0.741057i | −0.0536988 | − | 0.998557i | \(-0.517101\pi\) |
−0.966278 | + | 0.257501i | \(0.917101\pi\) | |||||||
\(234\) | 14.1944 | + | 10.7672i | 0.927914 | + | 0.703876i | ||||
\(235\) | −3.69109 | − | 3.35278i | −0.240780 | − | 0.218711i | ||||
\(236\) | −11.8918 | + | 3.37939i | −0.774089 | + | 0.219980i | ||||
\(237\) | −1.39102 | + | 17.4518i | −0.0903565 | + | 1.13362i | ||||
\(238\) | 0.509243 | − | 0.247627i | 0.0330093 | − | 0.0160513i | ||||
\(239\) | −1.33007 | − | 4.09355i | −0.0860353 | − | 0.264790i | 0.898779 | − | 0.438403i | \(-0.144456\pi\) |
−0.984814 | + | 0.173613i | \(0.944456\pi\) | |||||||
\(240\) | −12.0530 | + | 9.73270i | −0.778017 | + | 0.628243i | ||||
\(241\) | −2.94922 | + | 9.07678i | −0.189976 | + | 0.584687i | −0.999999 | − | 0.00171228i | \(-0.999455\pi\) |
0.810022 | + | 0.586399i | \(0.199455\pi\) | |||||||
\(242\) | 1.14800 | + | 8.23939i | 0.0737964 | + | 0.529648i | ||||
\(243\) | −14.3719 | − | 6.03727i | −0.921957 | − | 0.387291i | ||||
\(244\) | 14.1719 | − | 18.0508i | 0.907264 | − | 1.15558i | ||||
\(245\) | −15.1915 | + | 3.15977i | −0.970549 | + | 0.201870i | ||||
\(246\) | 17.3431 | − | 1.02271i | 1.10575 | − | 0.0652059i | ||||
\(247\) | −17.7788 | + | 12.9171i | −1.13124 | + | 0.821895i | ||||
\(248\) | 5.21060 | − | 8.95128i | 0.330873 | − | 0.568407i | ||||
\(249\) | 28.9036 | − | 6.90863i | 1.83169 | − | 0.437817i | ||||
\(250\) | −1.97657 | − | 15.6874i | −0.125009 | − | 0.992156i | ||||
\(251\) | 2.01118 | 0.126945 | 0.0634723 | − | 0.997984i | \(-0.479783\pi\) | ||||
0.0634723 | + | 0.997984i | \(0.479783\pi\) | |||||||
\(252\) | −1.08599 | + | 1.00386i | −0.0684108 | + | 0.0632374i | ||||
\(253\) | 0.700334 | + | 0.963926i | 0.0440296 | + | 0.0606015i | ||||
\(254\) | −20.4606 | − | 3.63279i | −1.28381 | − | 0.227941i | ||||
\(255\) | −2.67809 | − | 5.69315i | −0.167708 | − | 0.356519i | ||||
\(256\) | −11.4034 | − | 11.2233i | −0.712713 | − | 0.701455i | ||||
\(257\) | −16.9850 | −1.05949 | −0.529747 | − | 0.848156i | \(-0.677713\pi\) | ||||
−0.529747 | + | 0.848156i | \(0.677713\pi\) | |||||||
\(258\) | −13.2766 | + | 5.19632i | −0.826567 | + | 0.323509i | ||||
\(259\) | 0.874625 | + | 0.284183i | 0.0543466 | + | 0.0176583i | ||||
\(260\) | −8.70461 | − | 16.6406i | −0.539837 | − | 1.03201i | ||||
\(261\) | 12.1248 | − | 12.0764i | 0.750503 | − | 0.747512i | ||||
\(262\) | 13.1069 | − | 6.37340i | 0.809744 | − | 0.393750i | ||||
\(263\) | 9.09644 | + | 2.95561i | 0.560910 | + | 0.182251i | 0.575731 | − | 0.817639i | \(-0.304718\pi\) |
−0.0148204 | + | 0.999890i | \(0.504718\pi\) | |||||||
\(264\) | −5.80487 | + | 19.2738i | −0.357265 | + | 1.18622i | ||||
\(265\) | −12.6175 | + | 13.8907i | −0.775086 | + | 0.853296i | ||||
\(266\) | −0.797724 | − | 1.64051i | −0.0489116 | − | 0.100586i | ||||
\(267\) | 11.4051 | + | 4.73749i | 0.697980 | + | 0.289930i | ||||
\(268\) | 0.531771 | − | 14.2577i | 0.0324831 | − | 0.870930i | ||||
\(269\) | −19.0852 | + | 26.2686i | −1.16365 | + | 1.60162i | −0.466893 | + | 0.884314i | \(0.654627\pi\) |
−0.696754 | + | 0.717310i | \(0.745373\pi\) | |||||||
\(270\) | 10.9971 | + | 12.2092i | 0.669262 | + | 0.743026i | ||||
\(271\) | 10.1247 | + | 13.9354i | 0.615031 | + | 0.846518i | 0.996979 | − | 0.0776657i | \(-0.0247467\pi\) |
−0.381948 | + | 0.924184i | \(0.624747\pi\) | |||||||
\(272\) | 5.52684 | − | 3.41719i | 0.335114 | − | 0.207197i | ||||
\(273\) | −0.935184 | − | 1.52951i | −0.0565999 | − | 0.0925700i | ||||
\(274\) | 11.7915 | + | 12.2395i | 0.712349 | + | 0.739412i | ||||
\(275\) | −13.6128 | − | 15.3867i | −0.820883 | − | 0.927855i | ||||
\(276\) | 0.196949 | + | 0.985026i | 0.0118550 | + | 0.0592916i | ||||
\(277\) | 9.56277 | − | 3.10713i | 0.574571 | − | 0.186689i | −0.00729607 | − | 0.999973i | \(-0.502322\pi\) |
0.581867 | + | 0.813284i | \(0.302322\pi\) | |||||||
\(278\) | 0.939351 | − | 5.29061i | 0.0563386 | − | 0.317310i | ||||
\(279\) | −9.77833 | − | 5.00693i | −0.585413 | − | 0.299757i | ||||
\(280\) | 1.48636 | − | 0.469954i | 0.0888270 | − | 0.0280851i | ||||
\(281\) | −15.4094 | + | 21.2092i | −0.919248 | + | 1.26524i | 0.0446610 | + | 0.999002i | \(0.485779\pi\) |
−0.963909 | + | 0.266234i | \(0.914221\pi\) | |||||||
\(282\) | −4.60056 | − | 2.94503i | −0.273959 | − | 0.175374i | ||||
\(283\) | 5.95188 | + | 4.32430i | 0.353803 | + | 0.257053i | 0.750463 | − | 0.660913i | \(-0.229831\pi\) |
−0.396660 | + | 0.917966i | \(0.629831\pi\) | |||||||
\(284\) | 29.8914 | + | 10.9600i | 1.77373 | + | 0.650356i | ||||
\(285\) | −18.3404 | + | 8.62740i | −1.08639 | + | 0.511043i | ||||
\(286\) | −21.5312 | − | 11.4811i | −1.27317 | − | 0.678894i | ||||
\(287\) | −1.66263 | − | 0.540220i | −0.0981417 | − | 0.0318882i | ||||
\(288\) | −11.2349 | + | 12.7192i | −0.662023 | + | 0.749483i | ||||
\(289\) | −4.43781 | − | 13.6582i | −0.261048 | − | 0.803422i | ||||
\(290\) | −16.9847 | + | 6.07530i | −0.997375 | + | 0.356754i | ||||
\(291\) | 2.34725 | − | 29.4487i | 0.137598 | − | 1.72631i | ||||
\(292\) | −9.46185 | − | 7.42864i | −0.553713 | − | 0.434728i | ||||
\(293\) | 6.60240 | 0.385716 | 0.192858 | − | 0.981227i | \(-0.438224\pi\) | ||||
0.192858 | + | 0.981227i | \(0.438224\pi\) | |||||||
\(294\) | −15.8285 | + | 6.19507i | −0.923134 | + | 0.361304i | ||||
\(295\) | 1.50480 | − | 13.7397i | 0.0876128 | − | 0.799955i | ||||
\(296\) | 10.3145 | + | 2.23083i | 0.599520 | + | 0.129664i | ||||
\(297\) | 20.7451 | + | 5.04624i | 1.20375 | + | 0.292812i | ||||
\(298\) | −27.0607 | − | 14.4296i | −1.56758 | − | 0.835885i | ||||
\(299\) | −1.21771 | −0.0704222 | ||||||||
\(300\) | −5.00801 | − | 16.5807i | −0.289137 | − | 0.957288i | ||||
\(301\) | 1.43465 | 0.0826918 | ||||||||
\(302\) | −2.74434 | − | 1.46337i | −0.157919 | − | 0.0842075i | ||||
\(303\) | −8.60087 | + | 10.0500i | −0.494107 | + | 0.577357i | ||||
\(304\) | −11.0084 | − | 17.8046i | −0.631374 | − | 1.02116i | ||||
\(305\) | 12.7319 | + | 22.2764i | 0.729027 | + | 1.27555i | ||||
\(306\) | −3.93515 | − | 5.65823i | −0.224958 | − | 0.323460i | ||||
\(307\) | 8.01588 | 0.457490 | 0.228745 | − | 0.973486i | \(-0.426538\pi\) | ||||
0.228745 | + | 0.973486i | \(0.426538\pi\) | |||||||
\(308\) | 1.25080 | − | 1.59315i | 0.0712711 | − | 0.0907780i | ||||
\(309\) | 12.8639 | + | 1.02534i | 0.731803 | + | 0.0583295i | ||||
\(310\) | 7.07852 | + | 9.16456i | 0.402033 | + | 0.520512i | ||||
\(311\) | 2.71931 | + | 8.36916i | 0.154198 | + | 0.474572i | 0.998079 | − | 0.0619587i | \(-0.0197347\pi\) |
−0.843881 | + | 0.536530i | \(0.819735\pi\) | |||||||
\(312\) | −12.4491 | − | 16.3780i | −0.704789 | − | 0.927220i | ||||
\(313\) | −11.9417 | − | 3.88011i | −0.674987 | − | 0.219317i | −0.0485877 | − | 0.998819i | \(-0.515472\pi\) |
−0.626399 | + | 0.779502i | \(0.715472\pi\) | |||||||
\(314\) | −7.77665 | − | 4.14676i | −0.438862 | − | 0.234015i | ||||
\(315\) | −0.582706 | − | 1.54737i | −0.0328317 | − | 0.0871842i | ||||
\(316\) | 6.95917 | − | 18.9799i | 0.391484 | − | 1.06770i | ||||
\(317\) | 10.6049 | + | 7.70488i | 0.595628 | + | 0.432749i | 0.844324 | − | 0.535832i | \(-0.180002\pi\) |
−0.248696 | + | 0.968582i | \(0.580002\pi\) | |||||||
\(318\) | −11.0830 | + | 17.3132i | −0.621504 | + | 0.970878i | ||||
\(319\) | −13.7764 | + | 18.9616i | −0.771332 | + | 1.06165i | ||||
\(320\) | 16.4245 | − | 7.08773i | 0.918157 | − | 0.396216i | ||||
\(321\) | 8.94491 | − | 10.4520i | 0.499256 | − | 0.583373i | ||||
\(322\) | 0.0176706 | − | 0.0995241i | 0.000984743 | − | 0.00554626i | ||||
\(323\) | 8.08521 | − | 2.62704i | 0.449873 | − | 0.146173i | ||||
\(324\) | 14.1133 | + | 11.1720i | 0.784075 | + | 0.620666i | ||||
\(325\) | 20.8998 | − | 2.01224i | 1.15931 | − | 0.111619i | ||||
\(326\) | −19.6842 | − | 20.4320i | −1.09021 | − | 1.13163i | ||||
\(327\) | −10.6055 | + | 6.48451i | −0.586486 | + | 0.358594i | ||||
\(328\) | −19.6075 | − | 4.24071i | −1.08264 | − | 0.234154i | ||||
\(329\) | 0.323083 | + | 0.444686i | 0.0178122 | + | 0.0245163i | ||||
\(330\) | −17.5204 | − | 14.1248i | −0.964465 | − | 0.777543i | ||||
\(331\) | −9.33454 | + | 12.8479i | −0.513073 | + | 0.706184i | −0.984434 | − | 0.175756i | \(-0.943763\pi\) |
0.471361 | + | 0.881940i | \(0.343763\pi\) | |||||||
\(332\) | −34.2914 | − | 1.27897i | −1.88198 | − | 0.0701923i | ||||
\(333\) | 1.77307 | − | 11.0518i | 0.0971637 | − | 0.605637i | ||||
\(334\) | −0.191068 | − | 0.392929i | −0.0104548 | − | 0.0215001i | ||||
\(335\) | 14.5441 | + | 6.55173i | 0.794631 | + | 0.357959i | ||||
\(336\) | 1.51923 | − | 0.779801i | 0.0828807 | − | 0.0425416i | ||||
\(337\) | 12.0260 | + | 3.90750i | 0.655100 | + | 0.212855i | 0.617662 | − | 0.786444i | \(-0.288080\pi\) |
0.0374387 | + | 0.999299i | \(0.488080\pi\) | |||||||
\(338\) | 5.89368 | − | 2.86589i | 0.320574 | − | 0.155884i | ||||
\(339\) | 21.8888 | − | 13.3834i | 1.18884 | − | 0.726888i | ||||
\(340\) | 1.21328 | + | 7.16288i | 0.0657995 | + | 0.388462i | ||||
\(341\) | 14.3097 | + | 4.64949i | 0.774911 | + | 0.251784i | ||||
\(342\) | −18.2279 | + | 12.6770i | −0.985649 | + | 0.685493i | ||||
\(343\) | 3.43576 | 0.185514 | ||||||||
\(344\) | 16.3787 | − | 1.66255i | 0.883083 | − | 0.0896386i | ||||
\(345\) | −1.10317 | − | 0.210590i | −0.0593927 | − | 0.0113378i | ||||
\(346\) | 1.42646 | + | 0.253268i | 0.0766868 | + | 0.0136158i | ||||
\(347\) | 8.00841 | + | 11.0226i | 0.429914 | + | 0.591726i | 0.967934 | − | 0.251206i | \(-0.0808273\pi\) |
−0.538019 | + | 0.842932i | \(0.680827\pi\) | |||||||
\(348\) | −17.2311 | + | 9.67235i | −0.923685 | + | 0.518493i | ||||
\(349\) | −24.5103 | −1.31201 | −0.656003 | − | 0.754758i | \(-0.727754\pi\) | ||||
−0.656003 | + | 0.754758i | \(0.727754\pi\) | |||||||
\(350\) | −0.138822 | + | 1.73735i | −0.00742034 | + | 0.0928652i | ||||
\(351\) | −16.6346 | + | 14.1213i | −0.887887 | + | 0.753739i | ||||
\(352\) | 12.4336 | − | 19.6378i | 0.662715 | − | 1.04670i | ||||
\(353\) | −6.97135 | + | 5.06498i | −0.371047 | + | 0.269582i | −0.757645 | − | 0.652667i | \(-0.773650\pi\) |
0.386598 | + | 0.922248i | \(0.373650\pi\) | |||||||
\(354\) | −0.891315 | − | 15.1148i | −0.0473728 | − | 0.803343i | ||||
\(355\) | −23.9332 | + | 26.3482i | −1.27024 | + | 1.39842i | ||||
\(356\) | −11.2165 | − | 8.80624i | −0.594474 | − | 0.466730i | ||||
\(357\) | 0.161226 | + | 0.674520i | 0.00853298 | + | 0.0356994i | ||||
\(358\) | −0.397846 | − | 2.85540i | −0.0210268 | − | 0.150913i | ||||
\(359\) | −2.36938 | + | 7.29221i | −0.125051 | + | 0.384868i | −0.993910 | − | 0.110191i | \(-0.964854\pi\) |
0.868859 | + | 0.495059i | \(0.164854\pi\) | |||||||
\(360\) | −8.44566 | − | 16.9903i | −0.445126 | − | 0.895468i | ||||
\(361\) | −2.59164 | − | 7.97623i | −0.136402 | − | 0.419802i | ||||
\(362\) | −5.28151 | + | 2.56821i | −0.277590 | + | 0.134982i | ||||
\(363\) | −10.1564 | − | 0.809532i | −0.533074 | − | 0.0424894i | ||||
\(364\) | 0.565871 | + | 1.99125i | 0.0296597 | + | 0.104370i | ||||
\(365\) | 11.6769 | − | 6.67381i | 0.611195 | − | 0.349323i | ||||
\(366\) | 17.8309 | + | 21.7272i | 0.932036 | + | 1.13570i | ||||
\(367\) | −14.8524 | − | 10.7909i | −0.775287 | − | 0.563279i | 0.128274 | − | 0.991739i | \(-0.459056\pi\) |
−0.903561 | + | 0.428460i | \(0.859056\pi\) | |||||||
\(368\) | 0.0864031 | − | 1.15670i | 0.00450407 | − | 0.0602972i | ||||
\(369\) | −3.37054 | + | 21.0091i | −0.175463 | + | 1.09369i | ||||
\(370\) | −6.65194 | + | 9.74471i | −0.345818 | + | 0.506603i | ||||
\(371\) | 1.67348 | − | 1.21586i | 0.0868829 | − | 0.0631241i | ||||
\(372\) | 9.32354 | + | 8.60146i | 0.483403 | + | 0.445965i | ||||
\(373\) | 2.32796 | − | 0.756399i | 0.120537 | − | 0.0391649i | −0.248127 | − | 0.968727i | \(-0.579815\pi\) |
0.368664 | + | 0.929563i | \(0.379815\pi\) | |||||||
\(374\) | 6.54914 | + | 6.79796i | 0.338648 | + | 0.351514i | ||||
\(375\) | 19.2819 | + | 1.79143i | 0.995712 | + | 0.0925088i | ||||
\(376\) | 4.20383 | + | 4.70238i | 0.216796 | + | 0.242507i | ||||
\(377\) | −7.40218 | − | 22.7816i | −0.381232 | − | 1.17331i | ||||
\(378\) | −0.912749 | − | 1.56447i | −0.0469467 | − | 0.0804674i | ||||
\(379\) | 10.7676 | + | 14.8204i | 0.553097 | + | 0.761273i | 0.990428 | − | 0.138028i | \(-0.0440763\pi\) |
−0.437331 | + | 0.899300i | \(0.644076\pi\) | |||||||
\(380\) | 23.0750 | − | 3.90856i | 1.18372 | − | 0.200505i | ||||
\(381\) | 9.76311 | − | 23.5038i | 0.500179 | − | 1.20414i | ||||
\(382\) | 11.9342 | + | 12.3876i | 0.610606 | + | 0.633805i | ||||
\(383\) | −17.9463 | + | 24.7010i | −0.917016 | + | 1.26216i | 0.0476978 | + | 0.998862i | \(0.484812\pi\) |
−0.964713 | + | 0.263302i | \(0.915188\pi\) | |||||||
\(384\) | 16.4407 | − | 10.6632i | 0.838985 | − | 0.544154i | ||||
\(385\) | 1.12371 | + | 1.96610i | 0.0572695 | + | 0.100202i | ||||
\(386\) | 23.2703 | + | 12.4085i | 1.18442 | + | 0.631574i | ||||
\(387\) | −2.69714 | − | 17.2520i | −0.137103 | − | 0.876968i | ||||
\(388\) | −11.7431 | + | 32.0273i | −0.596167 | + | 1.62594i | ||||
\(389\) | −11.5821 | + | 3.76325i | −0.587235 | + | 0.190804i | −0.587539 | − | 0.809196i | \(-0.699903\pi\) |
0.000303927 | 1.00000i | \(0.499903\pi\) | ||||||||
\(390\) | 22.2038 | − | 6.00124i | 1.12433 | − | 0.303885i | ||||
\(391\) | 0.448013 | + | 0.145568i | 0.0226570 | + | 0.00736170i | ||||
\(392\) | 19.5268 | − | 1.98210i | 0.986253 | − | 0.100111i | ||||
\(393\) | 4.14962 | + | 17.3608i | 0.209321 | + | 0.875734i | ||||
\(394\) | −0.493592 | − | 3.54258i | −0.0248668 | − | 0.178473i | ||||
\(395\) | 16.7301 | + | 15.1966i | 0.841781 | + | 0.764626i | ||||
\(396\) | −21.5095 | − | 12.0461i | −1.08089 | − | 0.605339i | ||||
\(397\) | 11.9033 | + | 16.3834i | 0.597408 | + | 0.822261i | 0.995468 | − | 0.0950981i | \(-0.0303165\pi\) |
−0.398060 | + | 0.917359i | \(0.630316\pi\) | |||||||
\(398\) | −8.16412 | − | 4.35337i | −0.409230 | − | 0.218215i | ||||
\(399\) | 2.17295 | − | 0.519385i | 0.108784 | − | 0.0260018i | ||||
\(400\) | 0.428468 | + | 19.9954i | 0.0214234 | + | 0.999770i | ||||
\(401\) | − | 31.6327i | − | 1.57966i | −0.613326 | − | 0.789830i | \(-0.710169\pi\) | ||
0.613326 | − | 0.789830i | \(-0.289831\pi\) | |||||||
\(402\) | 16.9080 | + | 4.41216i | 0.843296 | + | 0.220058i | ||||
\(403\) | −12.4405 | + | 9.03858i | −0.619708 | + | 0.450244i | ||||
\(404\) | 12.6832 | − | 8.51119i | 0.631011 | − | 0.423447i | ||||
\(405\) | −17.5120 | + | 9.91622i | −0.870176 | + | 0.492741i | ||||
\(406\) | 1.96936 | − | 0.274393i | 0.0977377 | − | 0.0136179i | ||||
\(407\) | 15.3302i | 0.759891i | ||||||||
\(408\) | 2.62231 | + | 7.51386i | 0.129824 | + | 0.371992i | ||||
\(409\) | −6.16786 | + | 18.9827i | −0.304981 | + | 0.938635i | 0.674704 | + | 0.738089i | \(0.264272\pi\) |
−0.979684 | + | 0.200546i | \(0.935728\pi\) | |||||||
\(410\) | 12.6451 | − | 18.5243i | 0.624495 | − | 0.914850i | ||||
\(411\) | −17.7586 | + | 10.8581i | −0.875965 | + | 0.535590i | ||||
\(412\) | −13.9903 | − | 5.12969i | −0.689253 | − | 0.252722i | ||||
\(413\) | −0.470812 | + | 1.44901i | −0.0231671 | + | 0.0713011i | ||||
\(414\) | −1.23002 | − | 0.0253875i | −0.0604523 | − | 0.00124773i | ||||
\(415\) | 15.7576 | − | 34.9802i | 0.773511 | − | 1.71711i | ||||
\(416\) | 8.76787 | + | 22.0775i | 0.429880 | + | 1.08244i | ||||
\(417\) | 6.07752 | + | 2.52450i | 0.297618 | + | 0.123626i | ||||
\(418\) | 21.8995 | − | 21.0979i | 1.07114 | − | 1.03193i | ||||
\(419\) | −9.18218 | − | 6.67125i | −0.448579 | − | 0.325912i | 0.340456 | − | 0.940261i | \(-0.389419\pi\) |
−0.789034 | + | 0.614349i | \(0.789419\pi\) | |||||||
\(420\) | 0.168279 | + | 1.90181i | 0.00821116 | + | 0.0927986i | ||||
\(421\) | 3.74604 | − | 2.72165i | 0.182571 | − | 0.132645i | −0.492746 | − | 0.870173i | \(-0.664007\pi\) |
0.675317 | + | 0.737528i | \(0.264007\pi\) | |||||||
\(422\) | 6.58566 | − | 37.0917i | 0.320585 | − | 1.80560i | ||||
\(423\) | 4.74006 | − | 4.72116i | 0.230470 | − | 0.229551i | ||||
\(424\) | 17.6964 | − | 15.8202i | 0.859413 | − | 0.768297i | ||||
\(425\) | −7.92986 | − | 1.75808i | −0.384655 | − | 0.0852794i | ||||
\(426\) | −21.0226 | + | 32.8402i | −1.01855 | + | 1.59111i | ||||
\(427\) | −0.873991 | − | 2.68987i | −0.0422954 | − | 0.130172i | ||||
\(428\) | −13.1905 | + | 8.85163i | −0.637587 | + | 0.427860i | ||||
\(429\) | 19.4315 | − | 22.7054i | 0.938160 | − | 1.09623i | ||||
\(430\) | −5.17160 | + | 17.6646i | −0.249397 | + | 0.851864i | ||||
\(431\) | −16.5140 | − | 11.9981i | −0.795451 | − | 0.577929i | 0.114125 | − | 0.993466i | \(-0.463594\pi\) |
−0.909576 | + | 0.415537i | \(0.863594\pi\) | |||||||
\(432\) | −12.2334 | − | 16.8031i | −0.588582 | − | 0.808438i | ||||
\(433\) | 9.53970 | − | 13.1303i | 0.458449 | − | 0.631000i | −0.515738 | − | 0.856747i | \(-0.672482\pi\) |
0.974186 | + | 0.225746i | \(0.0724820\pi\) | |||||||
\(434\) | −0.558198 | − | 1.14793i | −0.0267944 | − | 0.0551024i | ||||
\(435\) | −2.76608 | − | 21.9187i | −0.132624 | − | 1.05092i | ||||
\(436\) | 13.8072 | − | 3.92372i | 0.661245 | − | 0.187912i | ||||
\(437\) | 0.468944 | − | 1.44326i | 0.0224327 | − | 0.0690406i | ||||
\(438\) | 11.3889 | − | 9.34660i | 0.544185 | − | 0.446598i | ||||
\(439\) | −10.4930 | + | 3.40939i | −0.500804 | + | 0.162721i | −0.548516 | − | 0.836140i | \(-0.684807\pi\) |
0.0477118 | + | 0.998861i | \(0.484807\pi\) | |||||||
\(440\) | 15.1073 | + | 21.1439i | 0.720213 | + | 1.00800i | ||||
\(441\) | −3.21554 | − | 20.5679i | −0.153121 | − | 0.979424i | ||||
\(442\) | −9.55501 | + | 1.33131i | −0.454485 | + | 0.0633239i | ||||
\(443\) | 6.75919i | 0.321139i | 0.987025 | + | 0.160569i | \(0.0513331\pi\) | ||||
−0.987025 | + | 0.160569i | \(0.948667\pi\) | |||||||
\(444\) | −5.39943 | + | 11.7429i | −0.256246 | + | 0.557293i | ||||
\(445\) | 13.8423 | − | 7.91144i | 0.656187 | − | 0.375038i | ||||
\(446\) | 27.5061 | + | 4.88373i | 1.30245 | + | 0.231251i | ||||
\(447\) | 24.4216 | − | 28.5363i | 1.15510 | − | 1.34972i | ||||
\(448\) | −1.93163 | + | 0.396229i | −0.0912610 | + | 0.0187200i | ||||
\(449\) | − | 3.79213i | − | 0.178962i | −0.995989 | − | 0.0894808i | \(-0.971479\pi\) | ||
0.995989 | − | 0.0894808i | \(-0.0285208\pi\) | |||||||
\(450\) | 21.1530 | − | 1.59685i | 0.997163 | − | 0.0752763i | ||||
\(451\) | − | 29.1422i | − | 1.37225i | ||||||
\(452\) | −28.4968 | + | 8.09818i | −1.34038 | + | 0.380906i | ||||
\(453\) | 2.47671 | − | 2.89400i | 0.116366 | − | 0.135972i | ||||
\(454\) | 3.39783 | − | 19.1372i | 0.159468 | − | 0.898155i | ||||
\(455\) | −2.30068 | − | 0.251975i | −0.107857 | − | 0.0118128i | ||||
\(456\) | 24.2057 | − | 8.44772i | 1.13354 | − | 0.395601i | ||||
\(457\) | − | 7.20343i | − | 0.336962i | −0.985705 | − | 0.168481i | \(-0.946114\pi\) | ||
0.985705 | − | 0.168481i | \(-0.0538862\pi\) | |||||||
\(458\) | −4.80767 | − | 34.5053i | −0.224647 | − | 1.61233i | ||||
\(459\) | 7.80816 | − | 3.20688i | 0.364454 | − | 0.149684i | ||||
\(460\) | 1.16173 | + | 0.576338i | 0.0541658 | + | 0.0268719i | ||||
\(461\) | 8.29731 | − | 2.69596i | 0.386444 | − | 0.125563i | −0.109350 | − | 0.994003i | \(-0.534877\pi\) |
0.495794 | + | 0.868440i | \(0.334877\pi\) | |||||||
\(462\) | 1.57374 | + | 1.91762i | 0.0732171 | + | 0.0892159i | ||||
\(463\) | 11.9302 | − | 36.7174i | 0.554444 | − | 1.70640i | −0.142962 | − | 0.989728i | \(-0.545663\pi\) |
0.697406 | − | 0.716676i | \(-0.254337\pi\) | |||||||
\(464\) | 22.1653 | − | 5.41482i | 1.02900 | − | 0.251377i | ||||
\(465\) | −12.8335 | + | 6.03692i | −0.595137 | + | 0.279956i | ||||
\(466\) | −24.4758 | + | 11.9017i | −1.13382 | + | 0.551336i | ||||
\(467\) | −9.56327 | + | 13.1627i | −0.442535 | + | 0.609098i | −0.970773 | − | 0.239999i | \(-0.922853\pi\) |
0.528238 | + | 0.849097i | \(0.322853\pi\) | |||||||
\(468\) | 22.8814 | − | 10.5483i | 1.05769 | − | 0.487595i | ||||
\(469\) | −1.42254 | − | 1.03353i | −0.0656867 | − | 0.0477242i | ||||
\(470\) | −6.64000 | + | 2.37508i | −0.306280 | + | 0.109554i | ||||
\(471\) | 7.01826 | − | 8.20073i | 0.323384 | − | 0.377870i | ||||
\(472\) | −3.69586 | + | 17.0883i | −0.170116 | + | 0.786553i | ||||
\(473\) | 7.39028 | + | 22.7450i | 0.339806 | + | 1.04581i | ||||
\(474\) | 20.8523 | + | 13.3485i | 0.957776 | + | 0.613117i | ||||
\(475\) | −5.66361 | + | 25.5459i | −0.259864 | + | 1.17212i | ||||
\(476\) | 0.0298470 | − | 0.800253i | 0.00136804 | − | 0.0366795i | ||||
\(477\) | −17.7671 | − | 17.8382i | −0.813500 | − | 0.816756i | ||||
\(478\) | −5.99334 | − | 1.06412i | −0.274129 | − | 0.0486718i | ||||
\(479\) | 18.3111 | − | 13.3038i | 0.836656 | − | 0.607866i | −0.0847786 | − | 0.996400i | \(-0.527018\pi\) |
0.921434 | + | 0.388534i | \(0.127018\pi\) | |||||||
\(480\) | 4.12508 | + | 21.5171i | 0.188283 | + | 0.982115i | ||||
\(481\) | −12.6755 | − | 9.20929i | −0.577953 | − | 0.419908i | ||||
\(482\) | 9.36435 | + | 9.72012i | 0.426534 | + | 0.442739i | ||||
\(483\) | 0.114327 | + | 0.0474896i | 0.00520206 | + | 0.00216085i | ||||
\(484\) | 11.0457 | + | 4.05003i | 0.502079 | + | 0.184092i | ||||
\(485\) | −28.2308 | − | 25.6433i | −1.28190 | − | 1.16440i | ||||
\(486\) | −17.0971 | + | 13.9172i | −0.775540 | + | 0.631298i | ||||
\(487\) | −8.02521 | + | 24.6991i | −0.363657 | + | 1.11922i | 0.587161 | + | 0.809470i | \(0.300246\pi\) |
−0.950818 | + | 0.309751i | \(0.899754\pi\) | |||||||
\(488\) | −13.0951 | − | 29.6962i | −0.592789 | − | 1.34428i | ||||
\(489\) | 29.6454 | − | 18.1260i | 1.34061 | − | 0.819687i | ||||
\(490\) | −6.16560 | + | 21.0598i | −0.278534 | + | 0.951387i | ||||
\(491\) | −0.446474 | + | 1.37411i | −0.0201491 | + | 0.0620126i | −0.960625 | − | 0.277846i | \(-0.910379\pi\) |
0.940476 | + | 0.339859i | \(0.110379\pi\) | |||||||
\(492\) | 10.2641 | − | 22.3227i | 0.462741 | − | 1.00639i | ||||
\(493\) | 9.26651i | 0.417343i | ||||||||
\(494\) | 4.28878 | + | 30.7812i | 0.192961 | + | 1.38491i | ||||
\(495\) | 21.5303 | − | 17.2092i | 0.967715 | − | 0.773494i | ||||
\(496\) | −7.70299 | − | 12.4585i | −0.345874 | − | 0.559405i | ||||
\(497\) | 3.17431 | − | 2.30627i | 0.142387 | − | 0.103450i | ||||
\(498\) | 10.6117 | − | 40.6656i | 0.475521 | − | 1.82227i | ||||
\(499\) | 2.02484i | 0.0906445i | 0.998972 | + | 0.0453222i | \(0.0144315\pi\) | ||||
−0.998972 | + | 0.0453222i | \(0.985569\pi\) | |||||||
\(500\) | −20.8913 | − | 7.97206i | −0.934287 | − | 0.356521i | ||||
\(501\) | 0.520456 | − | 0.124401i | 0.0232523 | − | 0.00555783i | ||||
\(502\) | 1.33827 | − | 2.50973i | 0.0597299 | − | 0.112015i | ||||
\(503\) | −0.326084 | − | 0.448817i | −0.0145394 | − | 0.0200117i | 0.801685 | − | 0.597746i | \(-0.203937\pi\) |
−0.816225 | + | 0.577734i | \(0.803937\pi\) | |||||||
\(504\) | 0.530076 | + | 2.02317i | 0.0236115 | + | 0.0901194i | ||||
\(505\) | 3.47755 | + | 16.7193i | 0.154749 | + | 0.744000i | ||||
\(506\) | 1.66888 | − | 0.232527i | 0.0741909 | − | 0.0103371i | ||||
\(507\) | 1.86593 | + | 7.80650i | 0.0828690 | + | 0.346699i | ||||
\(508\) | −18.1481 | + | 23.1152i | −0.805190 | + | 1.02557i | ||||
\(509\) | −3.40112 | − | 1.10509i | −0.150752 | − | 0.0489822i | 0.232669 | − | 0.972556i | \(-0.425254\pi\) |
−0.383421 | + | 0.923574i | \(0.625254\pi\) | |||||||
\(510\) | −8.88646 | − | 0.446350i | −0.393499 | − | 0.0197647i | ||||
\(511\) | −1.40997 | + | 0.458129i | −0.0623736 | + | 0.0202664i | ||||
\(512\) | −21.5934 | + | 6.76205i | −0.954302 | + | 0.298843i | ||||
\(513\) | −10.3309 | − | 25.1538i | −0.456119 | − | 1.11057i | ||||
\(514\) | −11.3020 | + | 21.1953i | −0.498512 | + | 0.934886i | ||||
\(515\) | 11.2016 | − | 12.3319i | 0.493603 | − | 0.543410i | ||||
\(516\) | −2.35003 | + | 20.0254i | −0.103454 | + | 0.881571i | ||||
\(517\) | −5.38577 | + | 7.41288i | −0.236866 | + | 0.326018i | ||||
\(518\) | 0.936616 | − | 0.902334i | 0.0411526 | − | 0.0396463i | ||||
\(519\) | −0.680658 | + | 1.63862i | −0.0298776 | + | 0.0719276i | ||||
\(520\) | −26.5578 | − | 0.210538i | −1.16464 | − | 0.00923269i | ||||
\(521\) | −7.36632 | − | 10.1389i | −0.322724 | − | 0.444192i | 0.616572 | − | 0.787298i | \(-0.288521\pi\) |
−0.939297 | + | 0.343107i | \(0.888521\pi\) | |||||||
\(522\) | −7.00204 | − | 23.1662i | −0.306471 | − | 1.01396i | ||||
\(523\) | −12.3865 | − | 38.1219i | −0.541626 | − | 1.66695i | −0.728881 | − | 0.684641i | \(-0.759959\pi\) |
0.187255 | − | 0.982311i | \(-0.440041\pi\) | |||||||
\(524\) | 0.768201 | − | 20.5968i | 0.0335590 | − | 0.899777i | ||||
\(525\) | −2.04069 | − | 0.626149i | −0.0890630 | − | 0.0273274i | ||||
\(526\) | 9.74117 | − | 9.38463i | 0.424735 | − | 0.409189i | ||||
\(527\) | 5.65753 | − | 1.83824i | 0.246446 | − | 0.0800752i | ||||
\(528\) | 20.1890 | + | 20.0689i | 0.878612 | + | 0.873388i | ||||
\(529\) | −18.5394 | + | 13.4696i | −0.806059 | + | 0.585636i | ||||
\(530\) | 8.93812 | + | 24.9882i | 0.388247 | + | 1.08542i | ||||
\(531\) | 18.3098 | + | 2.93748i | 0.794578 | + | 0.127476i | ||||
\(532\) | −2.57799 | − | 0.0961515i | −0.111770 | − | 0.00416870i | ||||
\(533\) | 24.0956 | + | 17.5065i | 1.04370 | + | 0.758290i | ||||
\(534\) | 13.5010 | − | 11.0799i | 0.584244 | − | 0.479473i | ||||
\(535\) | −3.61665 | − | 17.3881i | −0.156361 | − | 0.751752i | ||||
\(536\) | −17.4382 | − | 10.1509i | −0.753216 | − | 0.438452i | ||||
\(537\) | 3.51976 | + | 0.280547i | 0.151889 | + | 0.0121065i | ||||
\(538\) | 20.0806 | + | 41.2957i | 0.865738 | + | 1.78039i | ||||
\(539\) | 8.81073 | + | 27.1166i | 0.379505 | + | 1.16800i | ||||
\(540\) | 22.5533 | − | 5.59899i | 0.970540 | − | 0.240942i | ||||
\(541\) | −2.45335 | + | 7.55063i | −0.105478 | + | 0.324627i | −0.989842 | − | 0.142170i | \(-0.954592\pi\) |
0.884365 | + | 0.466797i | \(0.154592\pi\) | |||||||
\(542\) | 24.1270 | − | 3.36164i | 1.03634 | − | 0.144395i | ||||
\(543\) | −1.67212 | − | 6.99565i | −0.0717576 | − | 0.300212i | ||||
\(544\) | −0.586626 | − | 9.17072i | −0.0251514 | − | 0.393191i | ||||
\(545\) | −1.74718 | + | 15.9528i | −0.0748410 | + | 0.683341i | ||||
\(546\) | −2.53094 | + | 0.149249i | −0.108314 | + | 0.00638725i | ||||
\(547\) | −11.3743 | + | 8.26390i | −0.486329 | + | 0.353339i | −0.803771 | − | 0.594939i | \(-0.797176\pi\) |
0.317442 | + | 0.948278i | \(0.397176\pi\) | |||||||
\(548\) | 23.1197 | − | 6.57012i | 0.987623 | − | 0.280662i | ||||
\(549\) | −30.7032 | + | 15.5669i | −1.31038 | + | 0.664379i | ||||
\(550\) | −28.2591 | + | 6.74869i | −1.20497 | + | 0.287765i | ||||
\(551\) | 29.8518 | 1.27173 | ||||||||
\(552\) | 1.36025 | + | 0.409679i | 0.0578963 | + | 0.0174371i | ||||
\(553\) | −1.46439 | − | 2.01556i | −0.0622722 | − | 0.0857104i | ||||
\(554\) | 2.48585 | − | 14.0008i | 0.105614 | − | 0.594836i | ||||
\(555\) | −9.89055 | − | 10.5351i | −0.419830 | − | 0.447191i | ||||
\(556\) | −5.97703 | − | 4.69265i | −0.253482 | − | 0.199013i | ||||
\(557\) | 12.2107 | 0.517383 | 0.258691 | − | 0.965960i | \(-0.416709\pi\) | ||||
0.258691 | + | 0.965960i | \(0.416709\pi\) | |||||||
\(558\) | −12.7547 | + | 8.87058i | −0.539951 | + | 0.375521i | ||||
\(559\) | −23.2458 | − | 7.55301i | −0.983191 | − | 0.319458i | ||||
\(560\) | 0.402595 | − | 2.16752i | 0.0170127 | − | 0.0915946i | ||||
\(561\) | −9.86334 | + | 6.03072i | −0.416431 | + | 0.254617i | ||||
\(562\) | 16.2131 | + | 33.3421i | 0.683908 | + | 1.40645i | ||||
\(563\) | −4.90963 | − | 1.59523i | −0.206916 | − | 0.0672311i | 0.203725 | − | 0.979028i | \(-0.434695\pi\) |
−0.410641 | + | 0.911797i | \(0.634695\pi\) | |||||||
\(564\) | −6.73635 | + | 3.78132i | −0.283651 | + | 0.159222i | ||||
\(565\) | 3.60602 | − | 32.9250i | 0.151706 | − | 1.38517i | ||||
\(566\) | 9.35670 | − | 4.54983i | 0.393292 | − | 0.191244i | ||||
\(567\) | 2.11248 | − | 0.677070i | 0.0887158 | − | 0.0284343i | ||||
\(568\) | 33.5670 | − | 30.0082i | 1.40844 | − | 1.25912i | ||||
\(569\) | −1.34212 | + | 1.84727i | −0.0562646 | + | 0.0774415i | −0.836222 | − | 0.548391i | \(-0.815241\pi\) |
0.779958 | + | 0.625832i | \(0.215241\pi\) | |||||||
\(570\) | −1.43791 | + | 28.6275i | −0.0602273 | + | 1.19907i | ||||
\(571\) | 0.736301 | + | 1.01343i | 0.0308132 | + | 0.0424108i | 0.824146 | − | 0.566378i | \(-0.191656\pi\) |
−0.793332 | + | 0.608789i | \(0.791656\pi\) | |||||||
\(572\) | −28.6544 | + | 19.2288i | −1.19810 | + | 0.803998i | ||||
\(573\) | −17.9735 | + | 10.9895i | −0.750854 | + | 0.459093i | ||||
\(574\) | −1.78047 | + | 1.71530i | −0.0743154 | + | 0.0715953i | ||||
\(575\) | −1.08592 | + | 0.960726i | −0.0452861 | + | 0.0400650i | ||||
\(576\) | 8.39621 | + | 22.4834i | 0.349842 | + | 0.936809i | ||||
\(577\) | −23.6672 | + | 7.68995i | −0.985280 | + | 0.320137i | −0.756969 | − | 0.653451i | \(-0.773320\pi\) |
−0.228311 | + | 0.973588i | \(0.573320\pi\) | |||||||
\(578\) | −19.9969 | − | 3.55046i | −0.831759 | − | 0.147679i | ||||
\(579\) | −21.0009 | + | 24.5392i | −0.872768 | + | 1.01982i | ||||
\(580\) | −3.72056 | + | 25.2376i | −0.154488 | + | 1.04793i | ||||
\(581\) | −2.48576 | + | 3.42135i | −0.103127 | + | 0.141942i | ||||
\(582\) | −35.1868 | − | 22.5247i | −1.45854 | − | 0.933678i | ||||
\(583\) | 27.8968 | + | 20.2682i | 1.15537 | + | 0.839424i | ||||
\(584\) | −15.5662 | + | 6.86421i | −0.644132 | + | 0.284043i | ||||
\(585\) | 1.29521 | + | 28.1399i | 0.0535505 | + | 1.16344i | ||||
\(586\) | 4.39333 | − | 8.23906i | 0.181487 | − | 0.340352i | ||||
\(587\) | 8.42156 | + | 2.73633i | 0.347595 | + | 0.112940i | 0.477611 | − | 0.878571i | \(-0.341503\pi\) |
−0.130016 | + | 0.991512i | \(0.541503\pi\) | |||||||
\(588\) | −2.80172 | + | 23.8744i | −0.115541 | + | 0.984565i | ||||
\(589\) | −5.92186 | − | 18.2256i | −0.244006 | − | 0.750973i | ||||
\(590\) | −16.1443 | − | 11.0204i | −0.664649 | − | 0.453703i | ||||
\(591\) | 4.36682 | + | 0.348064i | 0.179627 | + | 0.0143174i | ||||
\(592\) | 9.64726 | − | 11.3870i | 0.396500 | − | 0.468001i | ||||
\(593\) | −5.54014 | −0.227506 | −0.113753 | − | 0.993509i | \(-0.536287\pi\) | ||||
−0.113753 | + | 0.993509i | \(0.536287\pi\) | |||||||
\(594\) | 20.1012 | − | 22.5298i | 0.824764 | − | 0.924407i | ||||
\(595\) | 0.816328 | + | 0.367733i | 0.0334662 | + | 0.0150756i | ||||
\(596\) | −36.0131 | + | 24.1670i | −1.47515 | + | 0.989918i | ||||
\(597\) | 7.36794 | − | 8.60933i | 0.301550 | − | 0.352356i | ||||
\(598\) | −0.810284 | + | 1.51957i | −0.0331350 | + | 0.0621398i | ||||
\(599\) | −37.9769 | −1.55169 | −0.775846 | − | 0.630922i | \(-0.782677\pi\) | ||||
−0.775846 | + | 0.630922i | \(0.782677\pi\) | |||||||
\(600\) | −24.0233 | − | 4.78361i | −0.980746 | − | 0.195290i | ||||
\(601\) | −25.7870 | −1.05188 | −0.525938 | − | 0.850523i | \(-0.676285\pi\) | ||||
−0.525938 | + | 0.850523i | \(0.676285\pi\) | |||||||
\(602\) | 0.954636 | − | 1.79028i | 0.0389080 | − | 0.0729664i | ||||
\(603\) | −9.75413 | + | 19.0494i | −0.397219 | + | 0.775752i | ||||
\(604\) | −3.65225 | + | 2.45088i | −0.148608 | + | 0.0997249i | ||||
\(605\) | −8.84399 | + | 9.73639i | −0.359559 | + | 0.395841i | ||||
\(606\) | 6.81812 | + | 17.4203i | 0.276967 | + | 0.707653i | ||||
\(607\) | −0.961951 | −0.0390444 | −0.0195222 | − | 0.999809i | \(-0.506215\pi\) | ||||
−0.0195222 | + | 0.999809i | \(0.506215\pi\) | |||||||
\(608\) | −29.5432 | + | 1.88980i | −1.19814 | + | 0.0766416i | ||||
\(609\) | −0.193493 | + | 2.42756i | −0.00784071 | + | 0.0983698i | ||||
\(610\) | 36.2705 | − | 1.06493i | 1.46855 | − | 0.0431178i | ||||
\(611\) | −2.89381 | − | 8.90624i | −0.117071 | − | 0.360308i | ||||
\(612\) | −9.67934 | + | 1.14556i | −0.391264 | + | 0.0463064i | ||||
\(613\) | 5.99080 | + | 1.94653i | 0.241966 | + | 0.0786195i | 0.427490 | − | 0.904020i | \(-0.359398\pi\) |
−0.185523 | + | 0.982640i | \(0.559398\pi\) | |||||||
\(614\) | 5.33388 | − | 10.0029i | 0.215258 | − | 0.403685i | ||||
\(615\) | 18.8015 | + | 20.0268i | 0.758151 | + | 0.807559i | ||||
\(616\) | −1.15577 | − | 2.62097i | −0.0465672 | − | 0.105602i | ||||
\(617\) | 1.25611 | + | 0.912616i | 0.0505690 | + | 0.0367405i | 0.612783 | − | 0.790252i | \(-0.290050\pi\) |
−0.562214 | + | 0.826992i | \(0.690050\pi\) | |||||||
\(618\) | 9.83935 | − | 15.3705i | 0.395797 | − | 0.618291i | ||||
\(619\) | 13.9136 | − | 19.1504i | 0.559234 | − | 0.769719i | −0.431995 | − | 0.901876i | \(-0.642190\pi\) |
0.991229 | + | 0.132157i | \(0.0421903\pi\) | |||||||
\(620\) | 16.1465 | − | 2.73497i | 0.648459 | − | 0.109839i | ||||
\(621\) | 0.356139 | − | 1.46409i | 0.0142914 | − | 0.0587519i | ||||
\(622\) | 12.2532 | + | 2.17557i | 0.491310 | + | 0.0872325i | ||||
\(623\) | −1.67145 | + | 0.543086i | −0.0669652 | + | 0.0217583i | ||||
\(624\) | −28.7217 | + | 4.63690i | −1.14979 | + | 0.185624i | ||||
\(625\) | 17.0503 | − | 18.2835i | 0.682011 | − | 0.731342i | ||||
\(626\) | −12.7881 | + | 12.3201i | −0.511117 | + | 0.492409i | ||||
\(627\) | 19.4278 | + | 31.7745i | 0.775873 | + | 1.26895i | ||||
\(628\) | −10.3494 | + | 6.94508i | −0.412986 | + | 0.277139i | ||||
\(629\) | 3.56259 | + | 4.90348i | 0.142050 | + | 0.195515i | ||||
\(630\) | −2.31868 | − | 0.302488i | −0.0923784 | − | 0.0120514i | ||||
\(631\) | 5.58970 | − | 7.69356i | 0.222522 | − | 0.306276i | −0.683130 | − | 0.730297i | \(-0.739382\pi\) |
0.905652 | + | 0.424021i | \(0.139382\pi\) | |||||||
\(632\) | −19.0540 | − | 21.3138i | −0.757929 | − | 0.847816i | ||||
\(633\) | 42.6086 | + | 17.6989i | 1.69354 | + | 0.703470i | ||||
\(634\) | 16.6715 | − | 8.10674i | 0.662108 | − | 0.321960i | ||||
\(635\) | −16.3040 | − | 28.5264i | −0.647006 | − | 1.13204i | ||||
\(636\) | 14.2302 | + | 25.3508i | 0.564264 | + | 1.00523i | ||||
\(637\) | −27.7137 | − | 9.00473i | −1.09806 | − | 0.356780i | ||||
\(638\) | 14.4950 | + | 29.8088i | 0.573861 | + | 1.18014i | ||||
\(639\) | −33.7011 | − | 33.8360i | −1.33320 | − | 1.33853i | ||||
\(640\) | 2.08440 | − | 25.2122i | 0.0823933 | − | 0.996600i | ||||
\(641\) | −3.99702 | − | 1.29871i | −0.157873 | − | 0.0512960i | 0.229014 | − | 0.973423i | \(-0.426450\pi\) |
−0.386887 | + | 0.922127i | \(0.626450\pi\) | |||||||
\(642\) | −7.09084 | − | 18.1171i | −0.279853 | − | 0.715026i | ||||
\(643\) | −33.8950 | −1.33669 | −0.668343 | − | 0.743853i | \(-0.732996\pi\) | ||||
−0.668343 | + | 0.743853i | \(0.732996\pi\) | |||||||
\(644\) | −0.112437 | − | 0.0882756i | −0.00443062 | − | 0.00347855i | ||||
\(645\) | −19.7530 | − | 10.8626i | −0.777772 | − | 0.427716i | ||||
\(646\) | 2.10176 | − | 11.8375i | 0.0826926 | − | 0.465740i | ||||
\(647\) | 7.83027 | + | 10.7774i | 0.307840 | + | 0.423705i | 0.934706 | − | 0.355422i | \(-0.115663\pi\) |
−0.626866 | + | 0.779127i | \(0.715663\pi\) | |||||||
\(648\) | 23.3326 | − | 10.1779i | 0.916592 | − | 0.399824i | ||||
\(649\) | −25.3979 | −0.996955 | ||||||||
\(650\) | 11.3960 | − | 27.4196i | 0.446987 | − | 1.07548i | ||||
\(651\) | 1.52050 | − | 0.363434i | 0.0595930 | − | 0.0142441i | ||||
\(652\) | −38.5950 | + | 10.9679i | −1.51150 | + | 0.429536i | ||||
\(653\) | 6.03308 | − | 4.38329i | 0.236093 | − | 0.171531i | −0.463448 | − | 0.886124i | \(-0.653388\pi\) |
0.699541 | + | 0.714593i | \(0.253388\pi\) | |||||||
\(654\) | 1.03488 | + | 17.5494i | 0.0404670 | + | 0.686235i | ||||
\(655\) | 21.0106 | + | 9.46469i | 0.820951 | + | 0.369816i | ||||
\(656\) | −18.3390 | + | 21.6461i | −0.716019 | + | 0.845140i | ||||
\(657\) | 8.15986 | + | 16.0940i | 0.318346 | + | 0.627887i | ||||
\(658\) | 0.769903 | − | 0.107271i | 0.0300139 | − | 0.00418187i | ||||
\(659\) | 5.31357 | − | 16.3535i | 0.206987 | − | 0.637041i | −0.792639 | − | 0.609692i | \(-0.791293\pi\) |
0.999626 | − | 0.0273497i | \(-0.00870676\pi\) | |||||||
\(660\) | −29.2844 | + | 12.4646i | −1.13989 | + | 0.485185i | ||||
\(661\) | 2.73446 | + | 8.41580i | 0.106358 | + | 0.327337i | 0.990047 | − | 0.140738i | \(-0.0449477\pi\) |
−0.883689 | + | 0.468075i | \(0.844948\pi\) | |||||||
\(662\) | 9.82140 | + | 20.1976i | 0.381719 | + | 0.785003i | ||||
\(663\) | 0.938794 | − | 11.7781i | 0.0364597 | − | 0.457425i | ||||
\(664\) | −24.4140 | + | 41.9407i | −0.947445 | + | 1.62762i | ||||
\(665\) | 1.18464 | − | 2.62978i | 0.0459385 | − | 0.101979i | ||||
\(666\) | −12.6116 | − | 9.56664i | −0.488691 | − | 0.370700i | ||||
\(667\) | 1.33822 | + | 0.972274i | 0.0518161 | + | 0.0376466i | ||||
\(668\) | −0.617471 | − | 0.0230298i | −0.0238907 | − | 0.000891050i | ||||
\(669\) | −13.1250 | + | 31.5973i | −0.507442 | + | 1.22162i | ||||
\(670\) | 17.8537 | − | 13.7898i | 0.689749 | − | 0.532748i | ||||
\(671\) | 38.1431 | − | 27.7126i | 1.47250 | − | 1.06983i | ||||
\(672\) | 0.0378129 | − | 2.41472i | 0.00145866 | − | 0.0931497i | ||||
\(673\) | 44.6419 | − | 14.5050i | 1.72082 | − | 0.559128i | 0.728746 | − | 0.684785i | \(-0.240104\pi\) |
0.992074 | + | 0.125656i | \(0.0401037\pi\) | |||||||
\(674\) | 12.8784 | − | 12.4070i | 0.496058 | − | 0.477902i | ||||
\(675\) | −3.69310 | + | 25.7169i | −0.142147 | + | 0.989845i | ||||
\(676\) | 0.345432 | − | 9.26165i | 0.0132859 | − | 0.356217i | ||||
\(677\) | 10.2402 | + | 31.5161i | 0.393563 | + | 1.21126i | 0.930075 | + | 0.367369i | \(0.119741\pi\) |
−0.536513 | + | 0.843892i | \(0.680259\pi\) | |||||||
\(678\) | −2.13590 | − | 36.2203i | −0.0820286 | − | 1.39103i | ||||
\(679\) | 2.47106 | + | 3.40112i | 0.0948305 | + | 0.130523i | ||||
\(680\) | 9.74580 | + | 3.25224i | 0.373734 | + | 0.124718i | ||||
\(681\) | 21.9837 | + | 9.13166i | 0.842416 | + | 0.349926i | ||||
\(682\) | 15.3239 | − | 14.7630i | 0.586782 | − | 0.565305i | ||||
\(683\) | −3.09803 | + | 4.26408i | −0.118543 | + | 0.163160i | −0.864165 | − | 0.503209i | \(-0.832153\pi\) |
0.745622 | + | 0.666369i | \(0.232153\pi\) | |||||||
\(684\) | 3.69039 | + | 31.1818i | 0.141105 | + | 1.19226i | ||||
\(685\) | −2.92559 | + | 26.7123i | −0.111781 | + | 1.02063i | ||||
\(686\) | 2.28621 | − | 4.28745i | 0.0872877 | − | 0.163695i | ||||
\(687\) | 42.5336 | + | 3.39020i | 1.62276 | + | 0.129344i | ||||
\(688\) | 8.82397 | − | 21.5451i | 0.336411 | − | 0.821400i | ||||
\(689\) | −33.5167 | + | 10.8903i | −1.27689 | + | 0.414886i | ||||
\(690\) | −0.996857 | + | 1.23650i | −0.0379497 | + | 0.0470729i | ||||
\(691\) | 20.0590 | + | 6.51756i | 0.763080 | + | 0.247940i | 0.664600 | − | 0.747199i | \(-0.268602\pi\) |
0.0984800 | + | 0.995139i | \(0.468602\pi\) | |||||||
\(692\) | 1.26523 | − | 1.61153i | 0.0480970 | − | 0.0612611i | ||||
\(693\) | −2.70984 | + | 1.37392i | −0.102938 | + | 0.0521911i | ||||
\(694\) | 19.0839 | − | 2.65898i | 0.724416 | − | 0.100934i | ||||
\(695\) | 7.37625 | − | 4.21583i | 0.279797 | − | 0.159916i | ||||
\(696\) | 0.604174 | + | 27.9386i | 0.0229012 | + | 1.05901i | ||||
\(697\) | −6.77233 | − | 9.32131i | −0.256520 | − | 0.353070i | ||||
\(698\) | −16.3095 | + | 30.5861i | −0.617324 | + | 1.15770i | ||||
\(699\) | −7.74901 | − | 32.4195i | −0.293095 | − | 1.22622i | ||||
\(700\) | 2.07564 | + | 1.32929i | 0.0784519 | + | 0.0502425i | ||||
\(701\) | − | 12.7130i | − | 0.480165i | −0.970753 | − | 0.240082i | \(-0.922826\pi\) | ||
0.970753 | − | 0.240082i | \(-0.0771744\pi\) | |||||||
\(702\) | 6.55292 | + | 30.1546i | 0.247324 | + | 1.13811i | ||||
\(703\) | 15.7964 | − | 11.4768i | 0.595774 | − | 0.432855i | ||||
\(704\) | −16.2322 | − | 28.5830i | −0.611774 | − | 1.07726i | ||||
\(705\) | −1.08137 | − | 8.56893i | −0.0407269 | − | 0.322725i | ||||
\(706\) | 1.68169 | + | 12.0698i | 0.0632913 | + | 0.454252i | ||||
\(707\) | − | 1.88241i | − | 0.0707953i | ||||||
\(708\) | −19.4547 | − | 8.94535i | −0.731152 | − | 0.336187i | ||||
\(709\) | −11.4590 | + | 35.2672i | −0.430352 | + | 1.32449i | 0.467424 | + | 0.884033i | \(0.345182\pi\) |
−0.897776 | + | 0.440453i | \(0.854818\pi\) | |||||||
\(710\) | 16.9541 | + | 47.3984i | 0.636275 | + | 1.77883i | ||||
\(711\) | −21.4846 | + | 21.3989i | −0.805734 | + | 0.802522i | ||||
\(712\) | −18.4528 | + | 8.13714i | −0.691549 | + | 0.304952i | ||||
\(713\) | 0.328138 | − | 1.00991i | 0.0122889 | − | 0.0378213i | ||||
\(714\) | 0.949008 | + | 0.247644i | 0.0355157 | + | 0.00926783i | ||||
\(715\) | −7.85662 | − | 37.7730i | −0.293821 | − | 1.41263i | ||||
\(716\) | −3.82795 | − | 1.40356i | −0.143057 | − | 0.0524534i | ||||
\(717\) | 2.85982 | − | 6.88477i | 0.106802 | − | 0.257116i | ||||
\(718\) | 7.52324 | + | 7.80906i | 0.280765 | + | 0.291432i | ||||
\(719\) | −34.5066 | − | 25.0705i | −1.28688 | − | 0.934971i | −0.287140 | − | 0.957889i | \(-0.592704\pi\) |
−0.999737 | + | 0.0229175i | \(0.992704\pi\) | |||||||
\(720\) | −26.8219 | − | 0.766357i | −0.999592 | − | 0.0285604i | ||||
\(721\) | −1.48570 | + | 1.07942i | −0.0553302 | + | 0.0401997i | ||||
\(722\) | −11.6780 | − | 2.07343i | −0.434608 | − | 0.0771650i | ||||
\(723\) | −14.1032 | + | 8.62309i | −0.524503 | + | 0.320696i | ||||
\(724\) | −0.309552 | + | 8.29966i | −0.0115044 | + | 0.308454i | ||||
\(725\) | −24.5748 | − | 14.4759i | −0.912684 | − | 0.537622i | ||||
\(726\) | −7.76843 | + | 12.1354i | −0.288313 | + | 0.450387i | ||||
\(727\) | −9.70095 | − | 29.8564i | −0.359788 | − | 1.10731i | −0.953181 | − | 0.302401i | \(-0.902212\pi\) |
0.593393 | − | 0.804913i | \(-0.297788\pi\) | |||||||
\(728\) | 2.86140 | + | 0.618862i | 0.106050 | + | 0.0229366i | ||||
\(729\) | −12.1134 | − | 24.1302i | −0.448644 | − | 0.893710i | ||||
\(730\) | −0.558216 | − | 19.0123i | −0.0206605 | − | 0.703676i | ||||
\(731\) | 7.64952 | + | 5.55770i | 0.282928 | + | 0.205559i | ||||
\(732\) | 38.9780 | − | 7.79339i | 1.44067 | − | 0.288052i | ||||
\(733\) | 12.6990 | − | 17.4786i | 0.469047 | − | 0.645587i | −0.507307 | − | 0.861765i | \(-0.669359\pi\) |
0.976354 | + | 0.216178i | \(0.0693591\pi\) | |||||||
\(734\) | −23.3488 | + | 11.3537i | −0.861819 | + | 0.419072i | ||||
\(735\) | −23.5496 | − | 12.9505i | −0.868639 | − | 0.477686i | ||||
\(736\) | −1.38594 | − | 0.877506i | −0.0510864 | − | 0.0323453i | ||||
\(737\) | 9.05779 | − | 27.8770i | 0.333648 | − | 1.02686i | ||||
\(738\) | 23.9742 | + | 18.1858i | 0.882502 | + | 0.669429i | ||||
\(739\) | 32.8961 | − | 10.6886i | 1.21010 | − | 0.393187i | 0.366635 | − | 0.930365i | \(-0.380510\pi\) |
0.843469 | + | 0.537178i | \(0.180510\pi\) | |||||||
\(740\) | 7.73401 | + | 14.7851i | 0.284308 | + | 0.543513i | ||||
\(741\) | −37.9430 | − | 3.02430i | −1.39387 | − | 0.111101i | ||||
\(742\) | −0.403693 | − | 2.89737i | −0.0148200 | − | 0.106366i | ||||
\(743\) | 39.5592i | 1.45129i | 0.688072 | + | 0.725643i | \(0.258457\pi\) | ||||
−0.688072 | + | 0.725643i | \(0.741543\pi\) | |||||||
\(744\) | 16.9377 | − | 5.91120i | 0.620965 | − | 0.216715i | ||||
\(745\) | −9.87428 | − | 47.4735i | −0.361766 | − | 1.73929i | ||||
\(746\) | 0.605155 | − | 3.40835i | 0.0221563 | − | 0.124788i | ||||
\(747\) | 45.8158 | + | 23.4597i | 1.67631 | + | 0.858346i | ||||
\(748\) | 12.8410 | − | 3.64913i | 0.469513 | − | 0.133426i | ||||
\(749\) | 1.95771i | 0.0715330i | ||||||||
\(750\) | 15.0659 | − | 22.8696i | 0.550130 | − | 0.835079i | ||||
\(751\) | 50.8972i | 1.85727i | 0.371000 | + | 0.928633i | \(0.379015\pi\) | ||||
−0.371000 | + | 0.928633i | \(0.620985\pi\) | |||||||
\(752\) | 8.66532 | − | 2.11687i | 0.315992 | − | 0.0771945i | ||||
\(753\) | 2.64659 | + | 2.26498i | 0.0964471 | + | 0.0825403i | ||||
\(754\) | −33.3543 | − | 5.92209i | −1.21469 | − | 0.215670i | ||||
\(755\) | −1.00139 | − | 4.81449i | −0.0364445 | − | 0.175217i | ||||
\(756\) | −2.55963 | + | 0.0979908i | −0.0930930 | + | 0.00356389i | ||||
\(757\) | − | 11.0204i | − | 0.400545i | −0.979740 | − | 0.200272i | \(-0.935817\pi\) | ||
0.979740 | − | 0.200272i | \(-0.0641827\pi\) | |||||||
\(758\) | 25.6591 | − | 3.57511i | 0.931982 | − | 0.129854i | ||||
\(759\) | −0.163970 | + | 2.05718i | −0.00595175 | + | 0.0746708i | ||||
\(760\) | 10.4770 | − | 31.3959i | 0.380041 | − | 1.13885i | ||||
\(761\) | −24.2325 | + | 7.87360i | −0.878426 | + | 0.285418i | −0.713304 | − | 0.700855i | \(-0.752802\pi\) |
−0.165122 | + | 0.986273i | \(0.552802\pi\) | |||||||
\(762\) | −22.8336 | − | 27.8230i | −0.827174 | − | 1.00792i | ||||
\(763\) | 0.546646 | − | 1.68240i | 0.0197899 | − | 0.0609071i | ||||
\(764\) | 23.3995 | − | 6.64965i | 0.846565 | − | 0.240576i | ||||
\(765\) | 2.88738 | − | 10.5079i | 0.104394 | − | 0.379913i | ||||
\(766\) | 18.8824 | + | 38.8314i | 0.682247 | + | 1.40304i | ||||
\(767\) | 15.2572 | − | 20.9998i | 0.550906 | − | 0.758258i | ||||
\(768\) | −2.36661 | − | 27.6116i | −0.0853978 | − | 0.996347i | ||||
\(769\) | −4.80509 | − | 3.49110i | −0.173276 | − | 0.125892i | 0.497767 | − | 0.867311i | \(-0.334153\pi\) |
−0.671043 | + | 0.741418i | \(0.734153\pi\) | |||||||
\(770\) | 3.20121 | − | 0.0939901i | 0.115364 | − | 0.00338717i | ||||
\(771\) | −22.3512 | − | 19.1283i | −0.804957 | − | 0.688890i | ||||
\(772\) | 30.9687 | − | 20.7819i | 1.11459 | − | 0.747957i | ||||
\(773\) | 0.162618 | + | 0.500486i | 0.00584896 | + | 0.0180012i | 0.953938 | − | 0.300003i | \(-0.0969875\pi\) |
−0.948089 | + | 0.318004i | \(0.896988\pi\) | |||||||
\(774\) | −23.3233 | − | 8.11399i | −0.838337 | − | 0.291651i | ||||
\(775\) | −3.96305 | + | 17.8754i | −0.142357 | + | 0.642104i | ||||
\(776\) | 32.1524 | + | 35.9655i | 1.15420 | + | 1.29109i | ||||
\(777\) | 0.830908 | + | 1.35896i | 0.0298087 | + | 0.0487525i | ||||
\(778\) | −3.01078 | + | 16.9573i | −0.107942 | + | 0.607948i | ||||
\(779\) | −30.0284 | + | 21.8169i | −1.07588 | + | 0.781672i | ||||
\(780\) | 7.28582 | − | 31.7011i | 0.260874 | − | 1.13508i | ||||
\(781\) | 52.9154 | + | 38.4453i | 1.89346 | + | 1.37568i | ||||
\(782\) | 0.479767 | − | 0.462207i | 0.0171564 | − | 0.0165285i | ||||
\(783\) | 29.5558 | − | 2.23703i | 1.05624 | − | 0.0799448i | ||||
\(784\) | 10.5200 | − | 25.6862i | 0.375714 | − | 0.917364i | ||||
\(785\) | −2.83766 | − | 13.6429i | −0.101280 | − | 0.486935i | ||||
\(786\) | 24.4255 | + | 6.37383i | 0.871228 | + | 0.227347i | ||||
\(787\) | −9.71157 | + | 29.8892i | −0.346180 | + | 1.06543i | 0.614769 | + | 0.788707i | \(0.289249\pi\) |
−0.960949 | + | 0.276726i | \(0.910751\pi\) | |||||||
\(788\) | −4.74919 | − | 1.74134i | −0.169183 | − | 0.0620326i | ||||
\(789\) | 8.64176 | + | 14.1337i | 0.307655 | + | 0.503174i | ||||
\(790\) | 30.0961 | − | 10.7652i | 1.07077 | − | 0.383008i | ||||
\(791\) | −1.12823 | + | 3.47232i | −0.0401151 | + | 0.123462i | ||||
\(792\) | −29.3449 | + | 18.8258i | −1.04273 | + | 0.668945i | ||||
\(793\) | 48.1855i | 1.71112i | ||||||||
\(794\) | 28.3653 | − | 3.95217i | 1.00665 | − | 0.140257i | ||||
\(795\) | −32.2474 | + | 4.06952i | −1.14370 | + | 0.144331i | ||||
\(796\) | −10.8650 | + | 7.29111i | −0.385101 | + | 0.258427i | ||||
\(797\) | 18.0641 | − | 13.1243i | 0.639863 | − | 0.464888i | −0.219940 | − | 0.975513i | \(-0.570586\pi\) |
0.859803 | + | 0.510626i | \(0.170586\pi\) | |||||||
\(798\) | 0.797778 | − | 3.05720i | 0.0282410 | − | 0.108224i | ||||
\(799\) | 3.62266i | 0.128160i | ||||||||
\(800\) | 25.2371 | + | 12.7706i | 0.892267 | + | 0.451507i | ||||
\(801\) | 9.67307 | + | 19.0786i | 0.341781 | + | 0.674108i | ||||
\(802\) | −39.4740 | − | 21.0488i | −1.39388 | − | 0.743260i | ||||
\(803\) | −14.5264 | − | 19.9938i | −0.512624 | − | 0.705567i | ||||
\(804\) | 16.7567 | − | 18.1634i | 0.590964 | − | 0.640574i | ||||
\(805\) | 0.138758 | − | 0.0793060i | 0.00489058 | − | 0.00279517i | ||||
\(806\) | 3.00102 | + | 21.5388i | 0.105707 | + | 0.758672i | ||||
\(807\) | −54.6984 | + | 13.0742i | −1.92548 | + | 0.460233i | ||||
\(808\) | −2.18144 | − | 21.4906i | −0.0767428 | − | 0.756038i | ||||
\(809\) | 18.8262 | + | 6.11702i | 0.661895 | + | 0.215063i | 0.620652 | − | 0.784086i | \(-0.286868\pi\) |
0.0412435 | + | 0.999149i | \(0.486868\pi\) | |||||||
\(810\) | 0.721630 | + | 28.4513i | 0.0253555 | + | 0.999678i | ||||
\(811\) | −5.98973 | + | 1.94618i | −0.210328 | + | 0.0683397i | −0.412286 | − | 0.911054i | \(-0.635270\pi\) |
0.201958 | + | 0.979394i | \(0.435270\pi\) | |||||||
\(812\) | 0.968028 | − | 2.64012i | 0.0339711 | − | 0.0926502i | ||||
\(813\) | −2.37051 | + | 29.7405i | −0.0831375 | + | 1.04305i | ||||
\(814\) | 19.1304 | + | 10.2010i | 0.670521 | + | 0.357543i | ||||
\(815\) | 4.88386 | − | 44.5924i | 0.171074 | − | 1.56201i | ||||
\(816\) | 11.1214 | + | 1.72748i | 0.389326 | + | 0.0604738i | ||||
\(817\) | 17.9040 | − | 24.6427i | 0.626382 | − | 0.862141i | ||||
\(818\) | 19.5841 | + | 20.3282i | 0.684742 | + | 0.710757i | ||||
\(819\) | 0.491875 | − | 3.06593i | 0.0171875 | − | 0.107132i | ||||
\(820\) | −14.7020 | − | 28.1060i | −0.513418 | − | 0.981502i | ||||
\(821\) | 1.30162 | + | 1.79152i | 0.0454267 | + | 0.0625245i | 0.831126 | − | 0.556084i | \(-0.187697\pi\) |
−0.785699 | + | 0.618609i | \(0.787697\pi\) | |||||||
\(822\) | 1.73287 | + | 29.3858i | 0.0604408 | + | 1.02495i | ||||
\(823\) | 10.5836 | + | 32.5729i | 0.368921 | + | 1.13542i | 0.947489 | + | 0.319788i | \(0.103612\pi\) |
−0.578568 | + | 0.815634i | \(0.696388\pi\) | |||||||
\(824\) | −15.7106 | + | 14.0450i | −0.547306 | + | 0.489280i | ||||
\(825\) | −0.585184 | − | 35.5786i | −0.0203735 | − | 1.23869i | ||||
\(826\) | 1.49492 | + | 1.55171i | 0.0520148 | + | 0.0539909i | ||||
\(827\) | −25.4097 | + | 8.25612i | −0.883583 | + | 0.287093i | −0.715444 | − | 0.698670i | \(-0.753776\pi\) |
−0.168139 | + | 0.985763i | \(0.553776\pi\) | |||||||
\(828\) | −0.850155 | + | 1.51804i | −0.0295449 | + | 0.0527554i | ||||
\(829\) | 4.83399 | − | 3.51210i | 0.167892 | − | 0.121980i | −0.500667 | − | 0.865640i | \(-0.666912\pi\) |
0.668558 | + | 0.743660i | \(0.266912\pi\) | |||||||
\(830\) | −33.1660 | − | 42.9400i | −1.15121 | − | 1.49047i | ||||
\(831\) | 16.0832 | + | 6.68071i | 0.557921 | + | 0.231751i | ||||
\(832\) | 33.3845 | + | 3.74934i | 1.15740 | + | 0.129985i | ||||
\(833\) | 9.11979 | + | 6.62592i | 0.315982 | + | 0.229574i | ||||
\(834\) | 7.19437 | − | 5.90422i | 0.249121 | − | 0.204447i | ||||
\(835\) | 0.283741 | − | 0.629874i | 0.00981926 | − | 0.0217977i | ||||
\(836\) | −11.7556 | − | 41.3669i | −0.406576 | − | 1.43070i | ||||
\(837\) | −7.22891 | − | 17.6011i | −0.249868 | − | 0.608383i | ||||
\(838\) | −14.4349 | + | 7.01919i | −0.498646 | + | 0.242474i | ||||
\(839\) | 13.2655 | + | 40.8270i | 0.457976 | + | 1.40951i | 0.867605 | + | 0.497254i | \(0.165658\pi\) |
−0.409629 | + | 0.912252i | \(0.634342\pi\) | |||||||
\(840\) | 2.48521 | + | 1.05550i | 0.0857481 | + | 0.0364181i | ||||
\(841\) | −1.09356 | + | 3.36565i | −0.0377091 | + | 0.116057i | ||||
\(842\) | −0.903654 | − | 6.48566i | −0.0311420 | − | 0.223511i | ||||
\(843\) | −44.1634 | + | 10.5561i | −1.52107 | + | 0.363571i | ||||
\(844\) | −41.9041 | − | 32.8995i | −1.44240 | − | 1.13245i | ||||
\(845\) | 9.44770 | + | 4.25593i | 0.325011 | + | 0.146408i | ||||
\(846\) | −2.73738 | − | 9.05659i | −0.0941131 | − | 0.311372i | ||||
\(847\) | 1.17300 | − | 0.852232i | 0.0403046 | − | 0.0292830i | ||||
\(848\) | −7.96641 | − | 32.6101i | −0.273568 | − | 1.11984i | ||||
\(849\) | 2.96232 | + | 12.3935i | 0.101667 | + | 0.425343i | ||||
\(850\) | −7.47053 | + | 8.72573i | −0.256237 | + | 0.299290i | ||||
\(851\) | 1.08193 | 0.0370882 | ||||||||
\(852\) | 26.9922 | + | 48.0862i | 0.924738 | + | 1.64740i | ||||
\(853\) | 27.3731 | + | 37.6758i | 0.937237 | + | 1.29000i | 0.956969 | + | 0.290190i | \(0.0937187\pi\) |
−0.0197321 | + | 0.999805i | \(0.506281\pi\) | |||||||
\(854\) | −3.93822 | − | 0.699234i | −0.134763 | − | 0.0239273i | ||||
\(855\) | −33.8509 | − | 9.30163i | −1.15768 | − | 0.318109i | ||||
\(856\) | 2.26870 | + | 22.3503i | 0.0775425 | + | 0.763916i | ||||
\(857\) | 22.7539 | 0.777257 | 0.388628 | − | 0.921395i | \(-0.372949\pi\) | ||||
0.388628 | + | 0.921395i | \(0.372949\pi\) | |||||||
\(858\) | −15.4038 | − | 39.3568i | −0.525876 | − | 1.34362i | ||||
\(859\) | 17.7327 | + | 5.76171i | 0.605032 | + | 0.196587i | 0.595483 | − | 0.803368i | \(-0.296961\pi\) |
0.00954864 | + | 0.999954i | \(0.496961\pi\) | |||||||
\(860\) | 18.6022 | + | 18.2079i | 0.634330 | + | 0.620883i | ||||
\(861\) | −1.57952 | − | 2.58333i | −0.0538300 | − | 0.0880397i | ||||
\(862\) | −25.9610 | + | 12.6239i | −0.884234 | + | 0.429972i | ||||
\(863\) | 9.89297 | + | 3.21442i | 0.336761 | + | 0.109420i | 0.472516 | − | 0.881322i | \(-0.343346\pi\) |
−0.135755 | + | 0.990742i | \(0.543346\pi\) | |||||||
\(864\) | −29.1086 | + | 4.08496i | −0.990296 | + | 0.138973i | ||||
\(865\) | 1.13667 | + | 1.98879i | 0.0386481 | + | 0.0676208i | ||||
\(866\) | −10.0372 | − | 20.6415i | −0.341080 | − | 0.701428i | ||||
\(867\) | 9.54184 | − | 22.9711i | 0.324058 | − | 0.780141i | ||||
\(868\) | −1.80392 | − | 0.0672809i | −0.0612291 | − | 0.00228366i | ||||
\(869\) | 24.4113 | − | 33.5992i | 0.828096 | − | 1.13978i | ||||
\(870\) | −29.1927 | − | 11.1333i | −0.989726 | − | 0.377454i | ||||
\(871\) | 17.6083 | + | 24.2357i | 0.596634 | + | 0.821196i | ||||
\(872\) | 4.29115 | − | 19.8407i | 0.145317 | − | 0.671892i | ||||
\(873\) | 36.2537 | − | 36.1092i | 1.22700 | − | 1.22211i | ||||
\(874\) | −1.48899 | − | 1.54556i | −0.0503657 | − | 0.0522793i | ||||
\(875\) | −2.25048 | + | 1.59044i | −0.0760800 | + | 0.0537665i | ||||
\(876\) | −4.08514 | − | 20.4315i | −0.138024 | − | 0.690316i | ||||
\(877\) | 28.7659 | − | 9.34660i | 0.971355 | − | 0.315612i | 0.219992 | − | 0.975502i | \(-0.429397\pi\) |
0.751363 | + | 0.659889i | \(0.229397\pi\) | |||||||
\(878\) | −2.72767 | + | 15.3628i | −0.0920544 | + | 0.518468i | ||||
\(879\) | 8.68835 | + | 7.43557i | 0.293051 | + | 0.250795i | ||||
\(880\) | 36.4379 | − | 4.78278i | 1.22832 | − | 0.161227i | ||||
\(881\) | 30.6920 | − | 42.2439i | 1.03404 | − | 1.42323i | 0.132169 | − | 0.991227i | \(-0.457806\pi\) |
0.901871 | − | 0.432006i | \(-0.142194\pi\) | |||||||
\(882\) | −27.8061 | − | 9.67354i | −0.936280 | − | 0.325725i | ||||
\(883\) | 7.44738 | + | 5.41084i | 0.250624 | + | 0.182089i | 0.706003 | − | 0.708208i | \(-0.250496\pi\) |
−0.455379 | + | 0.890298i | \(0.650496\pi\) | |||||||
\(884\) | −4.69671 | + | 12.8094i | −0.157968 | + | 0.430828i | ||||
\(885\) | 17.4537 | − | 16.3859i | 0.586701 | − | 0.550805i | ||||
\(886\) | 8.43471 | + | 4.49766i | 0.283370 | + | 0.151102i | ||||
\(887\) | −13.9983 | − | 4.54833i | −0.470018 | − | 0.152718i | 0.0644252 | − | 0.997923i | \(-0.479479\pi\) |
−0.534443 | + | 0.845204i | \(0.679479\pi\) | |||||||
\(888\) | 11.0609 | + | 14.5518i | 0.371181 | + | 0.488325i | ||||
\(889\) | 1.11920 | + | 3.44455i | 0.0375368 | + | 0.115527i | ||||
\(890\) | −0.661734 | − | 22.5380i | −0.0221814 | − | 0.755476i | ||||
\(891\) | 21.6163 | + | 30.0035i | 0.724172 | + | 1.00516i | ||||
\(892\) | 24.3973 | − | 31.0748i | 0.816882 | − | 1.04046i | ||||
\(893\) | 11.6703 | 0.390532 | ||||||||
\(894\) | −19.3596 | − | 49.4640i | −0.647483 | − | 1.65432i | ||||
\(895\) | 3.06493 | − | 3.37419i | 0.102449 | − | 0.112787i | ||||
\(896\) | −0.790885 | + | 2.67411i | −0.0264216 | + | 0.0893359i | ||||
\(897\) | −1.60244 | − | 1.37138i | −0.0535037 | − | 0.0457890i | ||||
\(898\) | −4.73215 | − | 2.52334i | −0.157914 | − | 0.0842048i | ||||
\(899\) | 20.8885 | 0.696670 | ||||||||
\(900\) | 12.0828 | − | 27.4592i | 0.402761 | − | 0.915305i | ||||
\(901\) | 13.6331 | 0.454184 | ||||||||
\(902\) | −36.3661 | − | 19.3916i | −1.21086 | − | 0.645670i | ||||
\(903\) | 1.88791 | + | 1.61569i | 0.0628257 | + | 0.0537668i | ||||
\(904\) | −8.85654 | + | 40.9494i | −0.294564 | + | 1.36196i | ||||
\(905\) | −8.46638 | − | 3.81387i | −0.281432 | − | 0.126777i | ||||
\(906\) | −1.96334 | − | 5.01636i | −0.0652278 | − | 0.166657i | ||||
\(907\) | 35.6781 | 1.18467 | 0.592336 | − | 0.805691i | \(-0.298206\pi\) | ||||
0.592336 | + | 0.805691i | \(0.298206\pi\) | |||||||
\(908\) | −21.6202 | − | 16.9743i | −0.717490 | − | 0.563312i | ||||
\(909\) | −22.6364 | + | 3.53893i | −0.750803 | + | 0.117379i | ||||
\(910\) | −1.84534 | + | 2.70332i | −0.0611724 | + | 0.0896142i | ||||
\(911\) | −11.4827 | − | 35.3401i | −0.380439 | − | 1.17087i | −0.939736 | − | 0.341902i | \(-0.888929\pi\) |
0.559297 | − | 0.828967i | \(-0.311071\pi\) | |||||||
\(912\) | 5.56502 | − | 35.8273i | 0.184276 | − | 1.18636i | ||||
\(913\) | −67.0471 | − | 21.7849i | −2.21894 | − | 0.720976i | ||||
\(914\) | −8.98907 | − | 4.79326i | −0.297332 | − | 0.158547i | ||||
\(915\) | −8.33314 | + | 43.6530i | −0.275485 | + | 1.44312i | ||||
\(916\) | −46.2579 | − | 16.9609i | −1.52840 | − | 0.560405i | ||||
\(917\) | −2.05501 | − | 1.49305i | −0.0678624 | − | 0.0493049i | ||||
\(918\) | 1.19384 | − | 11.8776i | 0.0394026 | − | 0.392020i | ||||
\(919\) | −31.2023 | + | 42.9463i | −1.02927 | + | 1.41667i | −0.123774 | + | 0.992310i | \(0.539500\pi\) |
−0.905495 | + | 0.424357i | \(0.860500\pi\) | |||||||
\(920\) | 1.49224 | − | 1.06620i | 0.0491975 | − | 0.0351516i | ||||
\(921\) | 10.5484 | + | 9.02741i | 0.347582 | + | 0.297463i | ||||
\(922\) | 2.15689 | − | 12.1480i | 0.0710335 | − | 0.400074i | ||||
\(923\) | −63.5755 | + | 20.6569i | −2.09261 | + | 0.679931i | ||||
\(924\) | 3.44017 | − | 0.687839i | 0.113173 | − | 0.0226282i | ||||
\(925\) | −18.5694 | + | 1.78787i | −0.610558 | + | 0.0587848i | ||||
\(926\) | −37.8807 | − | 39.3199i | −1.24484 | − | 1.29213i | ||||
\(927\) | 15.7734 | + | 15.8365i | 0.518066 | + | 0.520140i | ||||
\(928\) | 7.99203 | − | 31.2629i | 0.262351 | − | 1.02626i | ||||
\(929\) | 23.8502 | + | 32.8270i | 0.782501 | + | 1.07702i | 0.995002 | + | 0.0998588i | \(0.0318391\pi\) |
−0.212501 | + | 0.977161i | \(0.568161\pi\) | |||||||
\(930\) | −1.00616 | + | 20.0318i | −0.0329932 | + | 0.656867i | ||||
\(931\) | 21.3452 | − | 29.3792i | 0.699562 | − | 0.962864i | ||||
\(932\) | −1.43454 | + | 38.4626i | −0.0469899 | + | 1.25988i | ||||
\(933\) | −5.84684 | + | 14.0758i | −0.191417 | + | 0.460820i | ||||
\(934\) | 10.0621 | + | 20.6925i | 0.329240 | + | 0.677081i | ||||
\(935\) | −1.62491 | + | 14.8364i | −0.0531403 | + | 0.485202i | ||||
\(936\) | 2.06254 | − | 35.5724i | 0.0674163 | − | 1.16272i | ||||
\(937\) | −22.7895 | − | 7.40476i | −0.744501 | − | 0.241903i | −0.0878876 | − | 0.996130i | \(-0.528012\pi\) |
−0.656613 | + | 0.754227i | \(0.728012\pi\) | |||||||
\(938\) | −2.23631 | + | 1.08744i | −0.0730182 | + | 0.0355062i | ||||
\(939\) | −11.3448 | − | 18.5547i | −0.370225 | − | 0.605509i | ||||
\(940\) | −1.45452 | + | 9.86639i | −0.0474411 | + | 0.321806i | ||||
\(941\) | −6.06173 | − | 1.96958i | −0.197607 | − | 0.0642064i | 0.208541 | − | 0.978014i | \(-0.433128\pi\) |
−0.406148 | + | 0.913807i | \(0.633128\pi\) | |||||||
\(942\) | −5.56354 | − | 14.2149i | −0.181270 | − | 0.463146i | ||||
\(943\) | −2.05671 | −0.0669758 | ||||||||
\(944\) | 18.8650 | + | 15.9828i | 0.614003 | + | 0.520196i | ||||
\(945\) | 0.975826 | − | 2.69248i | 0.0317436 | − | 0.0875862i | ||||
\(946\) | 33.3007 | + | 5.91257i | 1.08270 | + | 0.192234i | ||||
\(947\) | −11.2001 | − | 15.4156i | −0.363955 | − | 0.500941i | 0.587290 | − | 0.809376i | \(-0.300195\pi\) |
−0.951245 | + | 0.308435i | \(0.900195\pi\) | |||||||
\(948\) | 30.5328 | − | 17.1390i | 0.991660 | − | 0.556649i | ||||
\(949\) | 25.2579 | 0.819906 | ||||||||
\(950\) | 28.1097 | + | 24.0661i | 0.912000 | + | 0.780809i | ||||
\(951\) | 5.27816 | + | 22.0822i | 0.171156 | + | 0.716066i | ||||
\(952\) | −0.978765 | − | 0.569745i | −0.0317220 | − | 0.0184656i | ||||
\(953\) | 23.6662 | − | 17.1945i | 0.766624 | − | 0.556985i | −0.134311 | − | 0.990939i | \(-0.542882\pi\) |
0.900935 | + | 0.433955i | \(0.142882\pi\) | |||||||
\(954\) | −34.0826 | + | 10.3016i | −1.10346 | + | 0.333525i | ||||
\(955\) | −2.96100 | + | 27.0356i | −0.0958158 | + | 0.874853i | ||||
\(956\) | −5.31596 | + | 6.77093i | −0.171930 | + | 0.218988i | ||||
\(957\) | −39.4834 | + | 9.43743i | −1.27632 | + | 0.305069i | ||||
\(958\) | −4.41718 | − | 31.7027i | −0.142712 | − | 1.02427i | ||||
\(959\) | 0.915339 | − | 2.81713i | 0.0295579 | − | 0.0909697i | ||||
\(960\) | 29.5958 | + | 9.17012i | 0.955199 | + | 0.295964i | ||||
\(961\) | 5.43578 | + | 16.7296i | 0.175348 | + | 0.539664i | ||||
\(962\) | −19.9266 | + | 9.68961i | −0.642460 | + | 0.312406i | ||||
\(963\) | 23.5419 | − | 3.68049i | 0.758626 | − | 0.118602i | ||||
\(964\) | 18.3608 | − | 5.21775i | 0.591361 | − | 0.168052i | ||||
\(965\) | 8.49119 | + | 40.8238i | 0.273341 | + | 1.31417i | ||||
\(966\) | 0.135337 | − | 0.111067i | 0.00435438 | − | 0.00357352i | ||||
\(967\) | −33.1500 | − | 24.0849i | −1.06603 | − | 0.774517i | −0.0908368 | − | 0.995866i | \(-0.528954\pi\) |
−0.975195 | + | 0.221349i | \(0.928954\pi\) | |||||||
\(968\) | 12.4040 | − | 11.0889i | 0.398679 | − | 0.356410i | ||||
\(969\) | 13.5982 | + | 5.64847i | 0.436837 | + | 0.181455i | ||||
\(970\) | −50.7851 | + | 18.1655i | −1.63061 | + | 0.583259i | ||||
\(971\) | 0.367434 | − | 0.266956i | 0.0117915 | − | 0.00856704i | −0.581874 | − | 0.813279i | \(-0.697680\pi\) |
0.593665 | + | 0.804712i | \(0.297680\pi\) | |||||||
\(972\) | 5.99048 | + | 30.5960i | 0.192145 | + | 0.981367i | ||||
\(973\) | −0.890678 | + | 0.289399i | −0.0285538 | + | 0.00927770i | ||||
\(974\) | 25.4816 | + | 26.4497i | 0.816482 | + | 0.847502i | ||||
\(975\) | 29.7690 | + | 20.8892i | 0.953372 | + | 0.668990i | ||||
\(976\) | −45.7712 | − | 3.41902i | −1.46510 | − | 0.109440i | ||||
\(977\) | −2.58926 | − | 7.96894i | −0.0828379 | − | 0.254949i | 0.901056 | − | 0.433703i | \(-0.142793\pi\) |
−0.983894 | + | 0.178754i | \(0.942793\pi\) | |||||||
\(978\) | −2.89278 | − | 49.0554i | −0.0925009 | − | 1.56862i | ||||
\(979\) | −17.2202 | − | 23.7016i | −0.550360 | − | 0.757506i | ||||
\(980\) | 22.1776 | + | 21.7075i | 0.708439 | + | 0.693421i | ||||
\(981\) | −21.2590 | − | 3.41063i | −0.678748 | − | 0.108893i | ||||
\(982\) | 1.41764 | + | 1.47150i | 0.0452387 | + | 0.0469574i | ||||
\(983\) | 3.04634 | − | 4.19292i | 0.0971630 | − | 0.133733i | −0.757667 | − | 0.652641i | \(-0.773661\pi\) |
0.854830 | + | 0.518907i | \(0.173661\pi\) | |||||||
\(984\) | −21.0264 | − | 27.6623i | −0.670297 | − | 0.881842i | ||||
\(985\) | 3.80254 | − | 4.18623i | 0.121159 | − | 0.133384i | ||||
\(986\) | 11.5636 | + | 6.16607i | 0.368259 | + | 0.196368i | ||||
\(987\) | −0.0756441 | + | 0.949033i | −0.00240778 | + | 0.0302081i | ||||
\(988\) | 41.2653 | + | 15.1303i | 1.31282 | + | 0.481360i | ||||
\(989\) | 1.60523 | − | 0.521570i | 0.0510433 | − | 0.0165850i | ||||
\(990\) | −7.14853 | − | 38.3186i | −0.227195 | − | 1.21785i | ||||
\(991\) | −25.3342 | − | 8.23157i | −0.804766 | − | 0.261484i | −0.122387 | − | 0.992482i | \(-0.539055\pi\) |
−0.682380 | + | 0.730998i | \(0.739055\pi\) | |||||||
\(992\) | −20.6725 | + | 1.32237i | −0.656354 | + | 0.0419852i | ||||
\(993\) | −26.7529 | + | 6.39455i | −0.848977 | + | 0.202925i | ||||
\(994\) | −0.765736 | − | 5.49580i | −0.0242877 | − | 0.174316i | ||||
\(995\) | −2.97904 | − | 14.3226i | −0.0944420 | − | 0.454057i | ||||
\(996\) | −43.6849 | − | 40.3017i | −1.38421 | − | 1.27701i | ||||
\(997\) | 6.23847 | + | 8.58652i | 0.197574 | + | 0.271938i | 0.896296 | − | 0.443455i | \(-0.146248\pi\) |
−0.698722 | + | 0.715393i | \(0.746248\pi\) | |||||||
\(998\) | 2.52678 | + | 1.34736i | 0.0799838 | + | 0.0426499i | ||||
\(999\) | 14.7797 | − | 12.5467i | 0.467610 | − | 0.396960i |
(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 | 300.2.r.a.119.38 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.119.19 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.119.8 | ✓ | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.119.49 | yes | 224 | |
25.4 | even | 10 | inner | 300.2.r.a.179.49 | yes | 224 | |
75.29 | odd | 10 | inner | 300.2.r.a.179.8 | yes | 224 | |
100.79 | odd | 10 | inner | 300.2.r.a.179.19 | yes | 224 | |
300.179 | even | 10 | inner | 300.2.r.a.179.38 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.8 | ✓ | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.119.19 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.119.38 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.119.49 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.179.8 | yes | 224 | 75.29 | odd | 10 | inner | |
300.2.r.a.179.19 | yes | 224 | 100.79 | odd | 10 | inner | |
300.2.r.a.179.38 | yes | 224 | 300.179 | even | 10 | inner | |
300.2.r.a.179.49 | yes | 224 | 25.4 | even | 10 | inner |