Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(50,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fy (of order \(12\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 743.58 | ||
Character | \(\chi\) | \(=\) | 819.743 |
Dual form | 819.2.fy.a.722.58 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.17742 | − | 0.315488i | 0.832558 | − | 0.223083i | 0.182729 | − | 0.983163i | \(-0.441507\pi\) |
0.649830 | + | 0.760080i | \(0.274840\pi\) | |||||||
\(3\) | −0.0778090 | − | 1.73030i | −0.0449230 | − | 0.998990i | ||||
\(4\) | −0.445276 | + | 0.257080i | −0.222638 | + | 0.128540i | ||||
\(5\) | −1.47574 | + | 0.395422i | −0.659969 | + | 0.176838i | −0.573232 | − | 0.819393i | \(-0.694311\pi\) |
−0.0867369 | + | 0.996231i | \(0.527644\pi\) | |||||||
\(6\) | −0.637502 | − | 2.01274i | −0.260259 | − | 0.821696i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | −2.16703 | + | 2.16703i | −0.766159 | + | 0.766159i | ||||
\(9\) | −2.98789 | + | 0.269266i | −0.995964 | + | 0.0897554i | ||||
\(10\) | −1.61280 | + | 0.931152i | −0.510013 | + | 0.294456i | ||||
\(11\) | 0.102687 | + | 0.383234i | 0.0309613 | + | 0.115549i | 0.979677 | − | 0.200581i | \(-0.0642830\pi\) |
−0.948716 | + | 0.316130i | \(0.897616\pi\) | |||||||
\(12\) | 0.479473 | + | 0.750459i | 0.138412 | + | 0.216639i | ||||
\(13\) | −0.330326 | + | 3.59039i | −0.0916159 | + | 0.995794i | ||||
\(14\) | 1.05564 | + | 0.609475i | 0.282132 | + | 0.162889i | ||||
\(15\) | 0.799025 | + | 2.52270i | 0.206307 | + | 0.651359i | ||||
\(16\) | −1.35366 | + | 2.34461i | −0.338415 | + | 0.586152i | ||||
\(17\) | −1.67513 | + | 2.90141i | −0.406279 | + | 0.703696i | −0.994469 | − | 0.105026i | \(-0.966507\pi\) |
0.588190 | + | 0.808723i | \(0.299841\pi\) | |||||||
\(18\) | −3.43304 | + | 1.25968i | −0.809175 | + | 0.296910i | ||||
\(19\) | −0.227129 | − | 0.847656i | −0.0521069 | − | 0.194466i | 0.934966 | − | 0.354737i | \(-0.115430\pi\) |
−0.987073 | + | 0.160272i | \(0.948763\pi\) | |||||||
\(20\) | 0.555454 | − | 0.555454i | 0.124203 | − | 0.124203i | ||||
\(21\) | 1.16849 | − | 1.27853i | 0.254985 | − | 0.278998i | ||||
\(22\) | 0.241811 | + | 0.418829i | 0.0515542 | + | 0.0892946i | ||||
\(23\) | 2.89305 | 0.603242 | 0.301621 | − | 0.953428i | \(-0.402472\pi\) | ||||
0.301621 | + | 0.953428i | \(0.402472\pi\) | |||||||
\(24\) | 3.91822 | + | 3.58099i | 0.799804 | + | 0.730967i | ||||
\(25\) | −2.30869 | + | 1.33292i | −0.461738 | + | 0.266585i | ||||
\(26\) | 0.743792 | + | 4.33159i | 0.145870 | + | 0.849495i | ||||
\(27\) | 0.698397 | + | 5.14900i | 0.134406 | + | 0.990926i | ||||
\(28\) | −0.496641 | − | 0.133075i | −0.0938563 | − | 0.0251487i | ||||
\(29\) | −5.53234 | − | 3.19410i | −1.02733 | − | 0.593129i | −0.111111 | − | 0.993808i | \(-0.535441\pi\) |
−0.916219 | + | 0.400679i | \(0.868774\pi\) | |||||||
\(30\) | 1.73667 | + | 2.71818i | 0.317070 | + | 0.496270i | ||||
\(31\) | 2.69424 | + | 10.0550i | 0.483900 | + | 1.80594i | 0.584965 | + | 0.811059i | \(0.301108\pi\) |
−0.101065 | + | 0.994880i | \(0.532225\pi\) | |||||||
\(32\) | 0.732247 | − | 2.73278i | 0.129444 | − | 0.483093i | ||||
\(33\) | 0.655120 | − | 0.207499i | 0.114042 | − | 0.0361209i | ||||
\(34\) | −1.05697 | + | 3.94465i | −0.181268 | + | 0.676502i | ||||
\(35\) | −1.32311 | − | 0.763897i | −0.223646 | − | 0.129122i | ||||
\(36\) | 1.26121 | − | 0.888026i | 0.210202 | − | 0.148004i | ||||
\(37\) | 1.16089 | − | 4.33251i | 0.190850 | − | 0.712261i | −0.802453 | − | 0.596716i | \(-0.796472\pi\) |
0.993302 | − | 0.115545i | \(-0.0368614\pi\) | |||||||
\(38\) | −0.534850 | − | 0.926387i | −0.0867641 | − | 0.150280i | ||||
\(39\) | 6.23816 | + | 0.292199i | 0.998905 | + | 0.0467893i | ||||
\(40\) | 2.34107 | − | 4.05485i | 0.370155 | − | 0.641127i | ||||
\(41\) | 4.21977 | + | 4.21977i | 0.659017 | + | 0.659017i | 0.955148 | − | 0.296130i | \(-0.0956962\pi\) |
−0.296130 | + | 0.955148i | \(0.595696\pi\) | |||||||
\(42\) | 0.972438 | − | 1.87400i | 0.150050 | − | 0.289165i | ||||
\(43\) | 1.67549i | 0.255510i | 0.991806 | + | 0.127755i | \(0.0407771\pi\) | ||||
−0.991806 | + | 0.127755i | \(0.959223\pi\) | |||||||
\(44\) | −0.144246 | − | 0.144246i | −0.0217459 | − | 0.0217459i | ||||
\(45\) | 4.30286 | − | 1.57884i | 0.641433 | − | 0.235360i | ||||
\(46\) | 3.40632 | − | 0.912720i | 0.502234 | − | 0.134573i | ||||
\(47\) | −8.80035 | − | 2.35805i | −1.28366 | − | 0.343957i | −0.448413 | − | 0.893826i | \(-0.648011\pi\) |
−0.835250 | + | 0.549870i | \(0.814677\pi\) | |||||||
\(48\) | 4.16220 | + | 2.15981i | 0.600762 | + | 0.311741i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | −2.29777 | + | 2.29777i | −0.324953 | + | 0.324953i | ||||
\(51\) | 5.15066 | + | 2.67273i | 0.721237 | + | 0.374257i | ||||
\(52\) | −0.775932 | − | 1.68363i | −0.107602 | − | 0.233478i | ||||
\(53\) | − | 1.65406i | − | 0.227203i | −0.993526 | − | 0.113601i | \(-0.963761\pi\) | ||
0.993526 | − | 0.113601i | \(-0.0362387\pi\) | |||||||
\(54\) | 2.44675 | + | 5.84218i | 0.332960 | + | 0.795020i | ||||
\(55\) | −0.303078 | − | 0.524947i | −0.0408670 | − | 0.0707838i | ||||
\(56\) | −3.06464 | −0.409529 | ||||||||
\(57\) | −1.44903 | + | 0.458957i | −0.191929 | + | 0.0607903i | ||||
\(58\) | −7.52156 | − | 2.01540i | −0.987629 | − | 0.264634i | ||||
\(59\) | 2.04906 | + | 0.549043i | 0.266764 | + | 0.0714793i | 0.389722 | − | 0.920933i | \(-0.372571\pi\) |
−0.122957 | + | 0.992412i | \(0.539238\pi\) | |||||||
\(60\) | −1.00432 | − | 0.917885i | −0.129658 | − | 0.118498i | ||||
\(61\) | −8.25292 | −1.05668 | −0.528339 | − | 0.849033i | \(-0.677185\pi\) | ||||
−0.528339 | + | 0.849033i | \(0.677185\pi\) | |||||||
\(62\) | 6.34448 | + | 10.9890i | 0.805750 | + | 1.39560i | ||||
\(63\) | −2.30316 | − | 1.92236i | −0.290171 | − | 0.242194i | ||||
\(64\) | − | 8.86327i | − | 1.10791i | ||||||
\(65\) | −0.932245 | − | 5.42908i | −0.115631 | − | 0.673395i | ||||
\(66\) | 0.705885 | − | 0.450995i | 0.0868885 | − | 0.0555136i | ||||
\(67\) | −0.544288 | + | 0.544288i | −0.0664954 | + | 0.0664954i | −0.739572 | − | 0.673077i | \(-0.764972\pi\) |
0.673077 | + | 0.739572i | \(0.264972\pi\) | |||||||
\(68\) | − | 1.72257i | − | 0.208893i | ||||||
\(69\) | −0.225105 | − | 5.00584i | −0.0270995 | − | 0.602633i | ||||
\(70\) | −1.79885 | − | 0.482000i | −0.215003 | − | 0.0576100i | ||||
\(71\) | −4.37693 | + | 1.17280i | −0.519446 | + | 0.139185i | −0.509011 | − | 0.860760i | \(-0.669989\pi\) |
−0.0104359 | + | 0.999946i | \(0.503322\pi\) | |||||||
\(72\) | 5.89133 | − | 7.05834i | 0.694300 | − | 0.831834i | ||||
\(73\) | 3.05592 | + | 3.05592i | 0.357669 | + | 0.357669i | 0.862953 | − | 0.505284i | \(-0.168612\pi\) |
−0.505284 | + | 0.862953i | \(0.668612\pi\) | |||||||
\(74\) | − | 5.46741i | − | 0.635574i | ||||||
\(75\) | 2.48600 | + | 3.89102i | 0.287058 | + | 0.449296i | ||||
\(76\) | 0.319051 | + | 0.319051i | 0.0365976 | + | 0.0365976i | ||||
\(77\) | −0.198376 | + | 0.343598i | −0.0226071 | + | 0.0391566i | ||||
\(78\) | 7.43709 | − | 1.62402i | 0.842085 | − | 0.183884i | ||||
\(79\) | −1.00409 | − | 1.73914i | −0.112969 | − | 0.195668i | 0.803997 | − | 0.594633i | \(-0.202703\pi\) |
−0.916966 | + | 0.398965i | \(0.869369\pi\) | |||||||
\(80\) | 1.07053 | − | 3.99528i | 0.119689 | − | 0.446686i | ||||
\(81\) | 8.85499 | − | 1.60908i | 0.983888 | − | 0.178786i | ||||
\(82\) | 6.29971 | + | 3.63714i | 0.695686 | + | 0.401655i | ||||
\(83\) | 0.617132 | − | 2.30317i | 0.0677390 | − | 0.252805i | −0.923750 | − | 0.382996i | \(-0.874892\pi\) |
0.991489 | + | 0.130191i | \(0.0415589\pi\) | |||||||
\(84\) | −0.191616 | + | 0.869693i | −0.0209070 | + | 0.0948913i | ||||
\(85\) | 1.32477 | − | 4.94410i | 0.143691 | − | 0.536263i | ||||
\(86\) | 0.528597 | + | 1.97275i | 0.0570001 | + | 0.212727i | ||||
\(87\) | −5.09629 | + | 9.82115i | −0.546380 | + | 1.05294i | ||||
\(88\) | −1.05300 | − | 0.607951i | −0.112250 | − | 0.0648078i | ||||
\(89\) | −11.1144 | − | 2.97809i | −1.17812 | − | 0.315677i | −0.383941 | − | 0.923358i | \(-0.625434\pi\) |
−0.794182 | + | 0.607680i | \(0.792100\pi\) | |||||||
\(90\) | 4.56815 | − | 3.21645i | 0.481526 | − | 0.339044i | ||||
\(91\) | −2.77236 | + | 2.30521i | −0.290623 | + | 0.241652i | ||||
\(92\) | −1.28820 | + | 0.743745i | −0.134305 | + | 0.0775408i | ||||
\(93\) | 17.1886 | − | 5.44422i | 1.78238 | − | 0.564540i | ||||
\(94\) | −11.1056 | −1.14546 | ||||||||
\(95\) | 0.670364 | + | 1.16110i | 0.0687779 | + | 0.119127i | ||||
\(96\) | −4.78552 | − | 1.05437i | −0.488420 | − | 0.107612i | ||||
\(97\) | 1.45239 | − | 1.45239i | 0.147468 | − | 0.147468i | −0.629518 | − | 0.776986i | \(-0.716748\pi\) |
0.776986 | + | 0.629518i | \(0.216748\pi\) | |||||||
\(98\) | 0.315488 | + | 1.17742i | 0.0318691 | + | 0.118937i | ||||
\(99\) | −0.410010 | − | 1.11741i | −0.0412075 | − | 0.112304i | ||||
\(100\) | 0.685337 | − | 1.18704i | 0.0685337 | − | 0.118704i | ||||
\(101\) | −2.95404 | + | 5.11655i | −0.293938 | + | 0.509116i | −0.974737 | − | 0.223354i | \(-0.928299\pi\) |
0.680799 | + | 0.732470i | \(0.261633\pi\) | |||||||
\(102\) | 6.90768 | + | 1.52194i | 0.683962 | + | 0.150695i | ||||
\(103\) | 10.7177 | + | 6.18785i | 1.05604 | + | 0.609707i | 0.924335 | − | 0.381582i | \(-0.124621\pi\) |
0.131708 | + | 0.991289i | \(0.457954\pi\) | |||||||
\(104\) | −7.06464 | − | 8.49628i | −0.692745 | − | 0.833129i | ||||
\(105\) | −1.21882 | + | 2.34881i | −0.118945 | + | 0.229221i | ||||
\(106\) | −0.521835 | − | 1.94752i | −0.0506851 | − | 0.189160i | ||||
\(107\) | 1.45206 | − | 0.838345i | 0.140376 | − | 0.0810459i | −0.428167 | − | 0.903699i | \(-0.640841\pi\) |
0.568543 | + | 0.822654i | \(0.307507\pi\) | |||||||
\(108\) | −1.63469 | − | 2.11318i | −0.157298 | − | 0.203341i | ||||
\(109\) | −5.31608 | + | 5.31608i | −0.509188 | + | 0.509188i | −0.914277 | − | 0.405089i | \(-0.867241\pi\) |
0.405089 | + | 0.914277i | \(0.367241\pi\) | |||||||
\(110\) | −0.522463 | − | 0.522463i | −0.0498149 | − | 0.0498149i | ||||
\(111\) | −7.58688 | − | 1.67159i | −0.720115 | − | 0.158660i | ||||
\(112\) | −2.61507 | + | 0.700705i | −0.247101 | + | 0.0662104i | ||||
\(113\) | −10.8302 | + | 6.25284i | −1.01882 | + | 0.588217i | −0.913763 | − | 0.406248i | \(-0.866837\pi\) |
−0.105060 | + | 0.994466i | \(0.533503\pi\) | |||||||
\(114\) | −1.56131 | + | 0.997533i | −0.146230 | + | 0.0934275i | ||||
\(115\) | −4.26937 | + | 1.14397i | −0.398121 | + | 0.106676i | ||||
\(116\) | 3.28456 | 0.304964 | ||||||||
\(117\) | 0.0202074 | − | 10.8166i | 0.00186817 | − | 0.999998i | ||||
\(118\) | 2.58581 | 0.238043 | ||||||||
\(119\) | −3.23611 | + | 0.867112i | −0.296653 | + | 0.0794880i | ||||
\(120\) | −7.19826 | − | 3.73525i | −0.657109 | − | 0.340980i | ||||
\(121\) | 9.38996 | − | 5.42129i | 0.853632 | − | 0.492845i | ||||
\(122\) | −9.71712 | + | 2.60369i | −0.879746 | + | 0.235727i | ||||
\(123\) | 6.97314 | − | 7.62981i | 0.628747 | − | 0.687957i | ||||
\(124\) | −3.78463 | − | 3.78463i | −0.339870 | − | 0.339870i | ||||
\(125\) | 8.28152 | − | 8.28152i | 0.740721 | − | 0.740721i | ||||
\(126\) | −3.31825 | − | 1.53680i | −0.295614 | − | 0.136909i | ||||
\(127\) | −0.841515 | + | 0.485849i | −0.0746724 | + | 0.0431121i | −0.536871 | − | 0.843664i | \(-0.680394\pi\) |
0.462199 | + | 0.886776i | \(0.347061\pi\) | |||||||
\(128\) | −1.33176 | − | 4.97019i | −0.117712 | − | 0.439307i | ||||
\(129\) | 2.89911 | − | 0.130368i | 0.255252 | − | 0.0114783i | ||||
\(130\) | −2.81045 | − | 6.09817i | −0.246493 | − | 0.534845i | ||||
\(131\) | −7.68391 | − | 4.43631i | −0.671346 | − | 0.387602i | 0.125240 | − | 0.992126i | \(-0.460030\pi\) |
−0.796586 | + | 0.604525i | \(0.793363\pi\) | |||||||
\(132\) | −0.238365 | + | 0.260813i | −0.0207470 | + | 0.0227008i | ||||
\(133\) | 0.438779 | − | 0.759988i | 0.0380470 | − | 0.0658993i | ||||
\(134\) | −0.469137 | + | 0.812569i | −0.0405273 | + | 0.0701953i | ||||
\(135\) | −3.06668 | − | 7.32241i | −0.263938 | − | 0.630212i | ||||
\(136\) | −2.65738 | − | 9.91749i | −0.227869 | − | 0.850418i | ||||
\(137\) | 10.6519 | − | 10.6519i | 0.910052 | − | 0.910052i | −0.0862236 | − | 0.996276i | \(-0.527480\pi\) |
0.996276 | + | 0.0862236i | \(0.0274799\pi\) | |||||||
\(138\) | −1.84432 | − | 5.82294i | −0.156999 | − | 0.495682i | ||||
\(139\) | −0.580027 | − | 1.00464i | −0.0491972 | − | 0.0852121i | 0.840378 | − | 0.542001i | \(-0.182333\pi\) |
−0.889575 | + | 0.456788i | \(0.849000\pi\) | |||||||
\(140\) | 0.785531 | 0.0663895 | ||||||||
\(141\) | −3.39539 | + | 15.4107i | −0.285943 | + | 1.29782i | ||||
\(142\) | −4.78347 | + | 2.76174i | −0.401420 | + | 0.231760i | ||||
\(143\) | −1.40988 | + | 0.242095i | −0.117900 | + | 0.0202450i | ||||
\(144\) | 3.41326 | − | 7.36992i | 0.284439 | − | 0.614160i | ||||
\(145\) | 9.42729 | + | 2.52603i | 0.782894 | + | 0.209776i | ||||
\(146\) | 4.56219 | + | 2.63398i | 0.377570 | + | 0.217990i | ||||
\(147\) | 1.73030 | − | 0.0778090i | 0.142713 | − | 0.00641758i | ||||
\(148\) | 0.596885 | + | 2.22761i | 0.0490637 | + | 0.183108i | ||||
\(149\) | 5.10814 | − | 19.0638i | 0.418475 | − | 1.56177i | −0.359296 | − | 0.933224i | \(-0.616983\pi\) |
0.777771 | − | 0.628547i | \(-0.216350\pi\) | |||||||
\(150\) | 4.15462 | + | 3.79705i | 0.339223 | + | 0.310027i | ||||
\(151\) | −4.26542 | + | 15.9187i | −0.347115 | + | 1.29545i | 0.543008 | + | 0.839728i | \(0.317285\pi\) |
−0.890122 | + | 0.455722i | \(0.849381\pi\) | |||||||
\(152\) | 2.32909 | + | 1.34470i | 0.188914 | + | 0.109069i | ||||
\(153\) | 4.22386 | − | 9.12017i | 0.341479 | − | 0.737322i | ||||
\(154\) | −0.125171 | + | 0.467143i | −0.0100865 | + | 0.0376434i | ||||
\(155\) | −7.95197 | − | 13.7732i | −0.638718 | − | 1.10629i | ||||
\(156\) | −2.85282 | + | 1.47360i | −0.228408 | + | 0.117982i | ||||
\(157\) | −8.57426 | + | 14.8511i | −0.684301 | + | 1.18524i | 0.289355 | + | 0.957222i | \(0.406559\pi\) |
−0.973656 | + | 0.228022i | \(0.926774\pi\) | |||||||
\(158\) | −1.73091 | − | 1.73091i | −0.137704 | − | 0.137704i | ||||
\(159\) | −2.86202 | + | 0.128701i | −0.226973 | + | 0.0102066i | ||||
\(160\) | 4.32241i | 0.341717i | ||||||||
\(161\) | 2.04569 | + | 2.04569i | 0.161223 | + | 0.161223i | ||||
\(162\) | 9.91836 | − | 4.68819i | 0.779260 | − | 0.368339i | ||||
\(163\) | 13.5539 | − | 3.63176i | 1.06162 | − | 0.284461i | 0.314577 | − | 0.949232i | \(-0.398137\pi\) |
0.747047 | + | 0.664771i | \(0.231471\pi\) | |||||||
\(164\) | −2.96378 | − | 0.794143i | −0.231432 | − | 0.0620121i | ||||
\(165\) | −0.884734 | + | 0.565262i | −0.0688765 | + | 0.0440056i | ||||
\(166\) | − | 2.90648i | − | 0.225587i | ||||||
\(167\) | −5.76517 | + | 5.76517i | −0.446122 | + | 0.446122i | −0.894063 | − | 0.447941i | \(-0.852157\pi\) |
0.447941 | + | 0.894063i | \(0.352157\pi\) | |||||||
\(168\) | 0.238456 | + | 5.30275i | 0.0183973 | + | 0.409116i | ||||
\(169\) | −12.7818 | − | 2.37199i | −0.983213 | − | 0.182461i | ||||
\(170\) | − | 6.23921i | − | 0.478526i | ||||||
\(171\) | 0.906881 | + | 2.47155i | 0.0693509 | + | 0.189004i | ||||
\(172\) | −0.430736 | − | 0.746056i | −0.0328433 | − | 0.0568863i | ||||
\(173\) | 14.5973 | 1.10981 | 0.554907 | − | 0.831913i | \(-0.312754\pi\) | ||||
0.554907 | + | 0.831913i | \(0.312754\pi\) | |||||||
\(174\) | −2.90200 | + | 13.1714i | −0.220000 | + | 0.998520i | ||||
\(175\) | −2.57501 | − | 0.689972i | −0.194652 | − | 0.0521570i | ||||
\(176\) | −1.03754 | − | 0.278007i | −0.0782072 | − | 0.0209555i | ||||
\(177\) | 0.790575 | − | 3.58821i | 0.0594233 | − | 0.269706i | ||||
\(178\) | −14.0258 | −1.05128 | ||||||||
\(179\) | 2.78967 | + | 4.83185i | 0.208510 | + | 0.361149i | 0.951245 | − | 0.308436i | \(-0.0998054\pi\) |
−0.742736 | + | 0.669585i | \(0.766472\pi\) | |||||||
\(180\) | −1.51007 | + | 1.80920i | −0.112554 | + | 0.134850i | ||||
\(181\) | 24.7138i | 1.83697i | 0.395461 | + | 0.918483i | \(0.370585\pi\) | ||||
−0.395461 | + | 0.918483i | \(0.629415\pi\) | |||||||
\(182\) | −2.53696 | + | 3.58884i | −0.188052 | + | 0.266022i | ||||
\(183\) | 0.642151 | + | 14.2800i | 0.0474692 | + | 1.05561i | ||||
\(184\) | −6.26930 | + | 6.26930i | −0.462179 | + | 0.462179i | ||||
\(185\) | 6.85268i | 0.503819i | ||||||||
\(186\) | 18.5206 | − | 11.8329i | 1.35799 | − | 0.867631i | ||||
\(187\) | −1.28393 | − | 0.344029i | −0.0938905 | − | 0.0251579i | ||||
\(188\) | 4.52479 | − | 1.21241i | 0.330004 | − | 0.0884244i | ||||
\(189\) | −3.14705 | + | 4.13474i | −0.228915 | + | 0.300758i | ||||
\(190\) | 1.15561 | + | 1.15561i | 0.0838368 | + | 0.0838368i | ||||
\(191\) | − | 10.5983i | − | 0.766863i | −0.923569 | − | 0.383431i | \(-0.874742\pi\) | ||
0.923569 | − | 0.383431i | \(-0.125258\pi\) | |||||||
\(192\) | −15.3361 | + | 0.689642i | −1.10679 | + | 0.0497707i | ||||
\(193\) | −6.48084 | − | 6.48084i | −0.466501 | − | 0.466501i | 0.434278 | − | 0.900779i | \(-0.357004\pi\) |
−0.900779 | + | 0.434278i | \(0.857004\pi\) | |||||||
\(194\) | 1.25186 | − | 2.16828i | 0.0898781 | − | 0.155673i | ||||
\(195\) | −9.32141 | + | 2.03550i | −0.667520 | + | 0.145765i | ||||
\(196\) | −0.257080 | − | 0.445276i | −0.0183629 | − | 0.0318054i | ||||
\(197\) | −1.72405 | + | 6.43424i | −0.122833 | + | 0.458421i | −0.999753 | − | 0.0222161i | \(-0.992928\pi\) |
0.876920 | + | 0.480637i | \(0.159594\pi\) | |||||||
\(198\) | −0.835281 | − | 1.18630i | −0.0593608 | − | 0.0843069i | ||||
\(199\) | 1.29333 | + | 0.746707i | 0.0916821 | + | 0.0529327i | 0.545140 | − | 0.838345i | \(-0.316476\pi\) |
−0.453458 | + | 0.891278i | \(0.649810\pi\) | |||||||
\(200\) | 2.11451 | − | 7.89147i | 0.149519 | − | 0.558011i | ||||
\(201\) | 0.984133 | + | 0.899432i | 0.0694154 | + | 0.0634411i | ||||
\(202\) | −1.86393 | + | 6.95627i | −0.131145 | + | 0.489441i | ||||
\(203\) | −1.65339 | − | 6.17052i | −0.116045 | − | 0.433086i | ||||
\(204\) | −2.98057 | + | 0.134032i | −0.208682 | + | 0.00938410i | ||||
\(205\) | −7.89585 | − | 4.55867i | −0.551470 | − | 0.318392i | ||||
\(206\) | 14.5713 | + | 3.90438i | 1.01523 | + | 0.272031i | ||||
\(207\) | −8.64411 | + | 0.778999i | −0.600807 | + | 0.0541442i | ||||
\(208\) | −7.97090 | − | 5.63464i | −0.552682 | − | 0.390692i | ||||
\(209\) | 0.301527 | − | 0.174087i | 0.0208571 | − | 0.0120418i | ||||
\(210\) | −0.694039 | + | 3.15005i | −0.0478932 | + | 0.217374i | ||||
\(211\) | 17.5342 | 1.20710 | 0.603552 | − | 0.797324i | \(-0.293752\pi\) | ||||
0.603552 | + | 0.797324i | \(0.293752\pi\) | |||||||
\(212\) | 0.425226 | + | 0.736514i | 0.0292047 | + | 0.0505840i | ||||
\(213\) | 2.36986 | + | 7.48216i | 0.162380 | + | 0.512669i | ||||
\(214\) | 1.44519 | − | 1.44519i | 0.0987909 | − | 0.0987909i | ||||
\(215\) | −0.662527 | − | 2.47258i | −0.0451839 | − | 0.168629i | ||||
\(216\) | −12.6715 | − | 9.64458i | −0.862184 | − | 0.656230i | ||||
\(217\) | −5.20487 | + | 9.01510i | −0.353330 | + | 0.611985i | ||||
\(218\) | −4.58208 | + | 7.93639i | −0.310338 | + | 0.537520i | ||||
\(219\) | 5.04989 | − | 5.52545i | 0.341240 | − | 0.373375i | ||||
\(220\) | 0.269907 | + | 0.155831i | 0.0181971 | + | 0.0105061i | ||||
\(221\) | −9.86386 | − | 6.97278i | −0.663515 | − | 0.469040i | ||||
\(222\) | −9.46028 | + | 0.425414i | −0.634932 | + | 0.0285519i | ||||
\(223\) | 4.51016 | + | 16.8321i | 0.302023 | + | 1.12716i | 0.935478 | + | 0.353385i | \(0.114969\pi\) |
−0.633455 | + | 0.773779i | \(0.718364\pi\) | |||||||
\(224\) | 2.45015 | − | 1.41459i | 0.163707 | − | 0.0945165i | ||||
\(225\) | 6.53921 | − | 4.60428i | 0.435947 | − | 0.306952i | ||||
\(226\) | −10.7790 | + | 10.7790i | −0.717008 | + | 0.717008i | ||||
\(227\) | −20.2293 | − | 20.2293i | −1.34266 | − | 1.34266i | −0.893398 | − | 0.449266i | \(-0.851686\pi\) |
−0.449266 | − | 0.893398i | \(-0.648314\pi\) | |||||||
\(228\) | 0.527229 | − | 0.576879i | 0.0349166 | − | 0.0382047i | ||||
\(229\) | 21.7934 | − | 5.83951i | 1.44015 | − | 0.385886i | 0.547561 | − | 0.836766i | \(-0.315556\pi\) |
0.892585 | + | 0.450880i | \(0.148890\pi\) | |||||||
\(230\) | −4.66591 | + | 2.69387i | −0.307661 | + | 0.177628i | ||||
\(231\) | 0.609964 | + | 0.316516i | 0.0401327 | + | 0.0208252i | ||||
\(232\) | 18.9104 | − | 5.06703i | 1.24153 | − | 0.332667i | ||||
\(233\) | −3.67097 | −0.240493 | −0.120247 | − | 0.992744i | \(-0.538369\pi\) | ||||
−0.120247 | + | 0.992744i | \(0.538369\pi\) | |||||||
\(234\) | −3.38872 | − | 12.7420i | −0.221528 | − | 0.832974i | ||||
\(235\) | 13.9194 | 0.908003 | ||||||||
\(236\) | −1.05354 | + | 0.282296i | −0.0685799 | + | 0.0183759i | ||||
\(237\) | −2.93110 | + | 1.87270i | −0.190396 | + | 0.121645i | ||||
\(238\) | −3.53668 | + | 2.04190i | −0.229249 | + | 0.132357i | ||||
\(239\) | 10.5654 | − | 2.83100i | 0.683421 | − | 0.183122i | 0.0996283 | − | 0.995025i | \(-0.468235\pi\) |
0.583793 | + | 0.811903i | \(0.301568\pi\) | |||||||
\(240\) | −6.99635 | − | 1.54148i | −0.451612 | − | 0.0995019i | ||||
\(241\) | 11.0219 | + | 11.0219i | 0.709985 | + | 0.709985i | 0.966532 | − | 0.256547i | \(-0.0825847\pi\) |
−0.256547 | + | 0.966532i | \(0.582585\pi\) | |||||||
\(242\) | 9.34553 | − | 9.34553i | 0.600753 | − | 0.600753i | ||||
\(243\) | −3.47319 | − | 15.1966i | −0.222805 | − | 0.974863i | ||||
\(244\) | 3.67483 | − | 2.12166i | 0.235257 | − | 0.135826i | ||||
\(245\) | −0.395422 | − | 1.47574i | −0.0252626 | − | 0.0942813i | ||||
\(246\) | 5.80317 | − | 11.1834i | 0.369997 | − | 0.713027i | ||||
\(247\) | 3.11844 | − | 0.535478i | 0.198422 | − | 0.0340716i | ||||
\(248\) | −27.6280 | − | 15.9510i | −1.75438 | − | 1.01289i | ||||
\(249\) | −4.03319 | − | 0.888617i | −0.255593 | − | 0.0563138i | ||||
\(250\) | 7.13807 | − | 12.3635i | 0.451451 | − | 0.781936i | ||||
\(251\) | 0.318470 | − | 0.551606i | 0.0201016 | − | 0.0348171i | −0.855800 | − | 0.517307i | \(-0.826934\pi\) |
0.875901 | + | 0.482490i | \(0.160268\pi\) | |||||||
\(252\) | 1.51974 | + | 0.263884i | 0.0957347 | + | 0.0166231i | ||||
\(253\) | 0.297079 | + | 1.10871i | 0.0186772 | + | 0.0697042i | ||||
\(254\) | −0.837534 | + | 0.837534i | −0.0525516 | + | 0.0525516i | ||||
\(255\) | −8.65787 | − | 1.90755i | −0.542177 | − | 0.119456i | ||||
\(256\) | 5.72721 | + | 9.91982i | 0.357951 | + | 0.619989i | ||||
\(257\) | 23.6485 | 1.47515 | 0.737575 | − | 0.675265i | \(-0.235971\pi\) | ||||
0.737575 | + | 0.675265i | \(0.235971\pi\) | |||||||
\(258\) | 3.37232 | − | 1.06813i | 0.209952 | − | 0.0664989i | ||||
\(259\) | 3.88442 | − | 2.24267i | 0.241366 | − | 0.139353i | ||||
\(260\) | 1.81082 | + | 2.17778i | 0.112302 | + | 0.135060i | ||||
\(261\) | 17.3901 | + | 8.05395i | 1.07642 | + | 0.498527i | ||||
\(262\) | −10.4468 | − | 2.79920i | −0.645402 | − | 0.172935i | ||||
\(263\) | 15.1212 | + | 8.73021i | 0.932411 | + | 0.538328i | 0.887573 | − | 0.460666i | \(-0.152390\pi\) |
0.0448379 | + | 0.998994i | \(0.485723\pi\) | |||||||
\(264\) | −0.970006 | + | 1.86932i | −0.0596998 | + | 0.115048i | ||||
\(265\) | 0.654052 | + | 2.44096i | 0.0401781 | + | 0.149947i | ||||
\(266\) | 0.276859 | − | 1.03325i | 0.0169753 | − | 0.0633527i | ||||
\(267\) | −4.28820 | + | 19.4630i | −0.262434 | + | 1.19111i | ||||
\(268\) | 0.102433 | − | 0.382284i | 0.00625707 | − | 0.0233517i | ||||
\(269\) | 14.0727 | + | 8.12486i | 0.858026 | + | 0.495381i | 0.863351 | − | 0.504604i | \(-0.168362\pi\) |
−0.00532481 | + | 0.999986i | \(0.501695\pi\) | |||||||
\(270\) | −5.92088 | − | 7.65401i | −0.360333 | − | 0.465808i | ||||
\(271\) | −1.12739 | + | 4.20748i | −0.0684840 | + | 0.255586i | −0.991677 | − | 0.128751i | \(-0.958903\pi\) |
0.923193 | + | 0.384337i | \(0.125570\pi\) | |||||||
\(272\) | −4.53511 | − | 7.85505i | −0.274982 | − | 0.476282i | ||||
\(273\) | 4.20443 | + | 4.61766i | 0.254464 | + | 0.279473i | ||||
\(274\) | 9.18116 | − | 15.9022i | 0.554654 | − | 0.960689i | ||||
\(275\) | −0.747894 | − | 0.747894i | −0.0450997 | − | 0.0450997i | ||||
\(276\) | 1.38714 | + | 2.17111i | 0.0834959 | + | 0.130686i | ||||
\(277\) | 15.1810i | 0.912135i | 0.889945 | + | 0.456068i | \(0.150743\pi\) | ||||
−0.889945 | + | 0.456068i | \(0.849257\pi\) | |||||||
\(278\) | −0.999883 | − | 0.999883i | −0.0599690 | − | 0.0599690i | ||||
\(279\) | −10.7576 | − | 29.3179i | −0.644039 | − | 1.75522i | ||||
\(280\) | 4.52259 | − | 1.21182i | 0.270277 | − | 0.0724204i | ||||
\(281\) | −2.42339 | − | 0.649344i | −0.144567 | − | 0.0387366i | 0.185810 | − | 0.982586i | \(-0.440509\pi\) |
−0.330377 | + | 0.943849i | \(0.607176\pi\) | |||||||
\(282\) | 0.864116 | + | 19.2161i | 0.0514574 | + | 1.14430i | ||||
\(283\) | 0.542668i | 0.0322582i | 0.999870 | + | 0.0161291i | \(0.00513428\pi\) | ||||
−0.999870 | + | 0.0161291i | \(0.994866\pi\) | |||||||
\(284\) | 1.64744 | − | 1.64744i | 0.0977576 | − | 0.0977576i | ||||
\(285\) | 1.95690 | − | 1.25028i | 0.115917 | − | 0.0740600i | ||||
\(286\) | −1.58363 | + | 0.729845i | −0.0936422 | + | 0.0431566i | ||||
\(287\) | 5.96766i | 0.352260i | ||||||||
\(288\) | −1.45203 | + | 8.36243i | −0.0855617 | + | 0.492761i | ||||
\(289\) | 2.88787 | + | 5.00193i | 0.169874 | + | 0.294231i | ||||
\(290\) | 11.8968 | 0.698602 | ||||||||
\(291\) | −2.62609 | − | 2.40007i | −0.153944 | − | 0.140694i | ||||
\(292\) | −2.14635 | − | 0.575112i | −0.125605 | − | 0.0336559i | ||||
\(293\) | −1.49350 | − | 0.400182i | −0.0872513 | − | 0.0233789i | 0.214929 | − | 0.976630i | \(-0.431048\pi\) |
−0.302181 | + | 0.953251i | \(0.597715\pi\) | |||||||
\(294\) | 2.01274 | − | 0.637502i | 0.117385 | − | 0.0371799i | ||||
\(295\) | −3.24097 | −0.188696 | ||||||||
\(296\) | 6.87298 | + | 11.9043i | 0.399484 | + | 0.691926i | ||||
\(297\) | −1.90156 | + | 0.796386i | −0.110339 | + | 0.0462110i | ||||
\(298\) | − | 24.0576i | − | 1.39362i | ||||||
\(299\) | −0.955647 | + | 10.3872i | −0.0552665 | + | 0.600705i | ||||
\(300\) | −2.10726 | − | 1.09348i | −0.121663 | − | 0.0631319i | ||||
\(301\) | −1.18475 | + | 1.18475i | −0.0682880 | + | 0.0682880i | ||||
\(302\) | 20.0887i | 1.15597i | ||||||||
\(303\) | 9.08303 | + | 4.71327i | 0.521806 | + | 0.270770i | ||||
\(304\) | 2.29487 | + | 0.614910i | 0.131620 | + | 0.0352675i | ||||
\(305\) | 12.1791 | − | 3.26339i | 0.697375 | − | 0.186861i | ||||
\(306\) | 2.09594 | − | 12.0708i | 0.119817 | − | 0.690042i | ||||
\(307\) | 1.89048 | + | 1.89048i | 0.107895 | + | 0.107895i | 0.758994 | − | 0.651098i | \(-0.225691\pi\) |
−0.651098 | + | 0.758994i | \(0.725691\pi\) | |||||||
\(308\) | − | 0.203995i | − | 0.0116237i | ||||||
\(309\) | 9.87291 | − | 19.0263i | 0.561650 | − | 1.08237i | ||||
\(310\) | −13.7081 | − | 13.7081i | −0.778565 | − | 0.778565i | ||||
\(311\) | 7.20911 | − | 12.4865i | 0.408791 | − | 0.708047i | −0.585963 | − | 0.810338i | \(-0.699284\pi\) |
0.994755 | + | 0.102290i | \(0.0326171\pi\) | |||||||
\(312\) | −14.1514 | + | 12.8850i | −0.801168 | + | 0.729472i | ||||
\(313\) | −16.3304 | − | 28.2851i | −0.923049 | − | 1.59877i | −0.794670 | − | 0.607042i | \(-0.792356\pi\) |
−0.128379 | − | 0.991725i | \(-0.540977\pi\) | |||||||
\(314\) | −5.41015 | + | 20.1909i | −0.305312 | + | 1.13944i | ||||
\(315\) | 4.15899 | + | 1.92617i | 0.234333 | + | 0.108528i | ||||
\(316\) | 0.894195 | + | 0.516264i | 0.0503024 | + | 0.0290421i | ||||
\(317\) | 2.87574 | − | 10.7324i | 0.161518 | − | 0.602792i | −0.836941 | − | 0.547293i | \(-0.815658\pi\) |
0.998459 | − | 0.0554989i | \(-0.0176749\pi\) | |||||||
\(318\) | −3.32919 | + | 1.05447i | −0.186692 | + | 0.0591316i | ||||
\(319\) | 0.655986 | − | 2.44817i | 0.0367281 | − | 0.137071i | ||||
\(320\) | 3.50473 | + | 13.0798i | 0.195921 | + | 0.731186i | ||||
\(321\) | −1.56357 | − | 2.44727i | −0.0872702 | − | 0.136593i | ||||
\(322\) | 3.05402 | + | 1.76324i | 0.170194 | + | 0.0982615i | ||||
\(323\) | 2.83987 | + | 0.760941i | 0.158015 | + | 0.0423399i | ||||
\(324\) | −3.52925 | + | 2.99293i | −0.196070 | + | 0.166274i | ||||
\(325\) | −4.02309 | − | 8.72940i | −0.223161 | − | 0.484220i | ||||
\(326\) | 14.8128 | − | 8.55218i | 0.820405 | − | 0.473661i | ||||
\(327\) | 9.61207 | + | 8.78479i | 0.531549 | + | 0.485800i | ||||
\(328\) | −18.2887 | −1.00982 | ||||||||
\(329\) | −4.55540 | − | 7.89018i | −0.251147 | − | 0.435000i | ||||
\(330\) | −0.863366 | + | 0.944671i | −0.0475268 | + | 0.0520024i | ||||
\(331\) | 9.47302 | − | 9.47302i | 0.520684 | − | 0.520684i | −0.397094 | − | 0.917778i | \(-0.629981\pi\) |
0.917778 | + | 0.397094i | \(0.129981\pi\) | |||||||
\(332\) | 0.317305 | + | 1.18420i | 0.0174144 | + | 0.0649913i | ||||
\(333\) | −2.30202 | + | 13.2577i | −0.126150 | + | 0.726516i | ||||
\(334\) | −4.96916 | + | 8.60683i | −0.271900 | + | 0.470945i | ||||
\(335\) | 0.588002 | − | 1.01845i | 0.0321260 | − | 0.0556438i | ||||
\(336\) | 1.41591 | + | 4.47034i | 0.0772441 | + | 0.243877i | ||||
\(337\) | 28.9527 | + | 16.7158i | 1.57715 | + | 0.910569i | 0.995254 | + | 0.0973066i | \(0.0310227\pi\) |
0.581897 | + | 0.813262i | \(0.302311\pi\) | |||||||
\(338\) | −15.7978 | + | 1.23967i | −0.859286 | + | 0.0674289i | ||||
\(339\) | 11.6620 | + | 18.2530i | 0.633392 | + | 0.991369i | ||||
\(340\) | 0.681144 | + | 2.54206i | 0.0369402 | + | 0.137863i | ||||
\(341\) | −3.57677 | + | 2.06505i | −0.193693 | + | 0.111829i | ||||
\(342\) | 1.84752 | + | 2.62393i | 0.0999023 | + | 0.141886i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −3.63083 | − | 3.63083i | −0.195761 | − | 0.195761i | ||||
\(345\) | 2.31162 | + | 7.29829i | 0.124453 | + | 0.392927i | ||||
\(346\) | 17.1871 | − | 4.60527i | 0.923985 | − | 0.247581i | ||||
\(347\) | −11.5199 | + | 6.65102i | −0.618421 | + | 0.357046i | −0.776254 | − | 0.630420i | \(-0.782883\pi\) |
0.157833 | + | 0.987466i | \(0.449549\pi\) | |||||||
\(348\) | −0.255568 | − | 5.68328i | −0.0136999 | − | 0.304656i | ||||
\(349\) | 0.644470 | − | 0.172685i | 0.0344977 | − | 0.00924363i | −0.241529 | − | 0.970394i | \(-0.577649\pi\) |
0.276027 | + | 0.961150i | \(0.410982\pi\) | |||||||
\(350\) | −3.24953 | −0.173695 | ||||||||
\(351\) | −18.7176 | + | 0.806667i | −0.999073 | + | 0.0430567i | ||||
\(352\) | 1.12249 | 0.0598288 | ||||||||
\(353\) | 21.7528 | − | 5.82865i | 1.15779 | − | 0.310228i | 0.371705 | − | 0.928351i | \(-0.378773\pi\) |
0.786081 | + | 0.618123i | \(0.212107\pi\) | |||||||
\(354\) | −0.201199 | − | 4.47423i | −0.0106936 | − | 0.237802i | ||||
\(355\) | 5.99545 | − | 3.46147i | 0.318205 | − | 0.183716i | ||||
\(356\) | 5.71458 | − | 1.53122i | 0.302872 | − | 0.0811543i | ||||
\(357\) | 1.75216 | + | 5.53197i | 0.0927344 | + | 0.292783i | ||||
\(358\) | 4.80899 | + | 4.80899i | 0.254163 | + | 0.254163i | ||||
\(359\) | −6.86464 | + | 6.86464i | −0.362302 | + | 0.362302i | −0.864660 | − | 0.502358i | \(-0.832466\pi\) |
0.502358 | + | 0.864660i | \(0.332466\pi\) | |||||||
\(360\) | −5.90302 | + | 12.7458i | −0.311116 | + | 0.671763i | ||||
\(361\) | 15.7875 | − | 9.11495i | 0.830924 | − | 0.479734i | ||||
\(362\) | 7.79691 | + | 29.0985i | 0.409796 | + | 1.52938i | ||||
\(363\) | −10.1111 | − | 15.8256i | −0.530695 | − | 0.830630i | ||||
\(364\) | 0.641842 | − | 1.73918i | 0.0336417 | − | 0.0911576i | ||||
\(365\) | −5.71811 | − | 3.30135i | −0.299300 | − | 0.172801i | ||||
\(366\) | 5.26126 | + | 16.6110i | 0.275010 | + | 0.868269i | ||||
\(367\) | −14.5446 | + | 25.1920i | −0.759224 | + | 1.31501i | 0.184023 | + | 0.982922i | \(0.441088\pi\) |
−0.943247 | + | 0.332092i | \(0.892245\pi\) | |||||||
\(368\) | −3.91620 | + | 6.78305i | −0.204146 | + | 0.353591i | ||||
\(369\) | −13.7445 | − | 11.4720i | −0.715508 | − | 0.597207i | ||||
\(370\) | 2.16194 | + | 8.06846i | 0.112394 | + | 0.419459i | ||||
\(371\) | 1.16960 | − | 1.16960i | 0.0607225 | − | 0.0607225i | ||||
\(372\) | −6.25408 | + | 6.84304i | −0.324259 | + | 0.354795i | ||||
\(373\) | 11.8378 | + | 20.5037i | 0.612940 | + | 1.06164i | 0.990742 | + | 0.135756i | \(0.0433464\pi\) |
−0.377803 | + | 0.925886i | \(0.623320\pi\) | |||||||
\(374\) | −1.62026 | −0.0837817 | ||||||||
\(375\) | −14.9739 | − | 13.6851i | −0.773249 | − | 0.706698i | ||||
\(376\) | 24.1805 | − | 13.9606i | 1.24702 | − | 0.719965i | ||||
\(377\) | 13.2955 | − | 18.8082i | 0.684754 | − | 0.968669i | ||||
\(378\) | −2.40093 | + | 5.86116i | −0.123491 | + | 0.301466i | ||||
\(379\) | −27.6483 | − | 7.40833i | −1.42020 | − | 0.380540i | −0.534642 | − | 0.845078i | \(-0.679554\pi\) |
−0.885553 | + | 0.464538i | \(0.846220\pi\) | |||||||
\(380\) | −0.596994 | − | 0.344675i | −0.0306251 | − | 0.0176814i | ||||
\(381\) | 0.906143 | + | 1.41827i | 0.0464231 | + | 0.0726603i | ||||
\(382\) | −3.34362 | − | 12.4785i | −0.171074 | − | 0.638458i | ||||
\(383\) | −8.02182 | + | 29.9378i | −0.409896 | + | 1.52975i | 0.384948 | + | 0.922938i | \(0.374219\pi\) |
−0.794844 | + | 0.606814i | \(0.792447\pi\) | |||||||
\(384\) | −8.49630 | + | 2.69107i | −0.433575 | + | 0.137328i | ||||
\(385\) | 0.156885 | − | 0.585502i | 0.00799559 | − | 0.0298399i | ||||
\(386\) | −9.67526 | − | 5.58602i | −0.492458 | − | 0.284321i | ||||
\(387\) | −0.451153 | − | 5.00619i | −0.0229334 | − | 0.254479i | ||||
\(388\) | −0.273334 | + | 1.02010i | −0.0138764 | + | 0.0517876i | ||||
\(389\) | −8.46327 | − | 14.6588i | −0.429105 | − | 0.743231i | 0.567689 | − | 0.823243i | \(-0.307838\pi\) |
−0.996794 | + | 0.0800117i | \(0.974504\pi\) | |||||||
\(390\) | −10.3330 | + | 5.33742i | −0.523232 | + | 0.270271i | ||||
\(391\) | −4.84623 | + | 8.39392i | −0.245085 | + | 0.424499i | ||||
\(392\) | −2.16703 | − | 2.16703i | −0.109451 | − | 0.109451i | ||||
\(393\) | −7.07827 | + | 13.6407i | −0.357052 | + | 0.688081i | ||||
\(394\) | 8.11969i | 0.409064i | ||||||||
\(395\) | 2.16946 | + | 2.16946i | 0.109158 | + | 0.109158i | ||||
\(396\) | 0.469832 | + | 0.392151i | 0.0236099 | + | 0.0197063i | ||||
\(397\) | 15.2939 | − | 4.09799i | 0.767579 | − | 0.205672i | 0.146278 | − | 0.989244i | \(-0.453271\pi\) |
0.621302 | + | 0.783571i | \(0.286604\pi\) | |||||||
\(398\) | 1.75837 | + | 0.471154i | 0.0881391 | + | 0.0236168i | ||||
\(399\) | −1.34915 | − | 0.700087i | −0.0675419 | − | 0.0350482i | ||||
\(400\) | − | 7.21730i | − | 0.360865i | ||||||
\(401\) | −11.3481 | + | 11.3481i | −0.566699 | + | 0.566699i | −0.931202 | − | 0.364503i | \(-0.881239\pi\) |
0.364503 | + | 0.931202i | \(0.381239\pi\) | |||||||
\(402\) | 1.44249 | + | 0.748524i | 0.0719450 | + | 0.0373330i | ||||
\(403\) | −36.9915 | + | 6.35193i | −1.84268 | + | 0.316412i | ||||
\(404\) | − | 3.03770i | − | 0.151131i | ||||||
\(405\) | −12.4314 | + | 5.87603i | −0.617719 | + | 0.291982i | ||||
\(406\) | −3.89345 | − | 6.74365i | −0.193229 | − | 0.334682i | ||||
\(407\) | 1.77957 | 0.0882102 | ||||||||
\(408\) | −16.9535 | + | 5.36975i | −0.839323 | + | 0.265842i | ||||
\(409\) | −30.2956 | − | 8.11768i | −1.49802 | − | 0.401394i | −0.585585 | − | 0.810611i | \(-0.699135\pi\) |
−0.912437 | + | 0.409218i | \(0.865802\pi\) | |||||||
\(410\) | −10.7349 | − | 2.87641i | −0.530159 | − | 0.142056i | ||||
\(411\) | −19.2598 | − | 17.6022i | −0.950016 | − | 0.868251i | ||||
\(412\) | −6.36309 | −0.313487 | ||||||||
\(413\) | 1.06067 | + | 1.83713i | 0.0521921 | + | 0.0903994i | ||||
\(414\) | −9.93194 | + | 3.64431i | −0.488128 | + | 0.179108i | ||||
\(415\) | 3.64289i | 0.178823i | ||||||||
\(416\) | 9.56988 | + | 3.53176i | 0.469202 | + | 0.173159i | ||||
\(417\) | −1.69319 | + | 1.08179i | −0.0829160 | + | 0.0529756i | ||||
\(418\) | 0.300100 | − | 0.300100i | 0.0146784 | − | 0.0146784i | ||||
\(419\) | 26.5180i | 1.29549i | 0.761857 | + | 0.647746i | \(0.224288\pi\) | ||||
−0.761857 | + | 0.647746i | \(0.775712\pi\) | |||||||
\(420\) | −0.0611214 | − | 1.35921i | −0.00298242 | − | 0.0663225i | ||||
\(421\) | 24.2047 | + | 6.48563i | 1.17967 | + | 0.316090i | 0.794794 | − | 0.606880i | \(-0.207579\pi\) |
0.384872 | + | 0.922970i | \(0.374246\pi\) | |||||||
\(422\) | 20.6450 | − | 5.53182i | 1.00498 | − | 0.269285i | ||||
\(423\) | 26.9294 | + | 4.67595i | 1.30935 | + | 0.227353i | ||||
\(424\) | 3.58439 | + | 3.58439i | 0.174073 | + | 0.174073i | ||||
\(425\) | − | 8.93129i | − | 0.433231i | ||||||
\(426\) | 5.15083 | + | 8.06195i | 0.249559 | + | 0.390603i | ||||
\(427\) | −5.83570 | − | 5.83570i | −0.282409 | − | 0.282409i | ||||
\(428\) | −0.431044 | + | 0.746590i | −0.0208353 | + | 0.0360878i | ||||
\(429\) | 0.528598 | + | 2.42068i | 0.0255210 | + | 0.116871i | ||||
\(430\) | −1.56014 | − | 2.70224i | −0.0752365 | − | 0.130313i | ||||
\(431\) | 9.43107 | − | 35.1972i | 0.454279 | − | 1.69539i | −0.235922 | − | 0.971772i | \(-0.575811\pi\) |
0.690200 | − | 0.723618i | \(-0.257522\pi\) | |||||||
\(432\) | −13.0178 | − | 5.33253i | −0.626318 | − | 0.256561i | ||||
\(433\) | 2.77144 | + | 1.60009i | 0.133187 | + | 0.0768954i | 0.565113 | − | 0.825014i | \(-0.308833\pi\) |
−0.431926 | + | 0.901909i | \(0.642166\pi\) | |||||||
\(434\) | −3.28414 | + | 12.2566i | −0.157644 | + | 0.588335i | ||||
\(435\) | 3.63727 | − | 16.5086i | 0.174394 | − | 0.791527i | ||||
\(436\) | 1.00046 | − | 3.73378i | 0.0479135 | − | 0.178816i | ||||
\(437\) | −0.657094 | − | 2.45231i | −0.0314331 | − | 0.117310i | ||||
\(438\) | 4.20261 | − | 8.09892i | 0.200808 | − | 0.386982i | ||||
\(439\) | 20.1170 | + | 11.6145i | 0.960131 | + | 0.554332i | 0.896214 | − | 0.443623i | \(-0.146307\pi\) |
0.0639180 | + | 0.997955i | \(0.479640\pi\) | |||||||
\(440\) | 1.79435 | + | 0.480795i | 0.0855423 | + | 0.0229210i | ||||
\(441\) | −0.269266 | − | 2.98789i | −0.0128222 | − | 0.142281i | ||||
\(442\) | −13.8137 | − | 5.09794i | −0.657050 | − | 0.242484i | ||||
\(443\) | −33.1964 | + | 19.1659i | −1.57721 | + | 0.910601i | −0.581961 | + | 0.813217i | \(0.697714\pi\) |
−0.995247 | + | 0.0973845i | \(0.968952\pi\) | |||||||
\(444\) | 3.80799 | − | 1.20612i | 0.180719 | − | 0.0572399i | ||||
\(445\) | 17.5795 | 0.833348 | ||||||||
\(446\) | 10.6207 | + | 18.3955i | 0.502903 | + | 0.871054i | ||||
\(447\) | −33.3837 | − | 7.35529i | −1.57899 | − | 0.347893i | ||||
\(448\) | 6.26728 | − | 6.26728i | 0.296101 | − | 0.296101i | ||||
\(449\) | 9.77334 | + | 36.4746i | 0.461232 | + | 1.72134i | 0.669089 | + | 0.743183i | \(0.266685\pi\) |
−0.207856 | + | 0.978159i | \(0.566649\pi\) | |||||||
\(450\) | 6.24677 | − | 7.48419i | 0.294476 | − | 0.352808i | ||||
\(451\) | −1.18384 | + | 2.05047i | −0.0557449 | + | 0.0965530i | ||||
\(452\) | 3.21496 | − | 5.56848i | 0.151219 | − | 0.261919i | ||||
\(453\) | 27.8761 | + | 6.14184i | 1.30973 | + | 0.288569i | ||||
\(454\) | −30.2003 | − | 17.4362i | −1.41737 | − | 0.818320i | ||||
\(455\) | 3.17974 | − | 4.49814i | 0.149069 | − | 0.210876i | ||||
\(456\) | 2.14551 | − | 4.13465i | 0.100473 | − | 0.193623i | ||||
\(457\) | −6.16215 | − | 22.9975i | −0.288253 | − | 1.07578i | −0.946429 | − | 0.322912i | \(-0.895338\pi\) |
0.658176 | − | 0.752864i | \(-0.271328\pi\) | |||||||
\(458\) | 23.8176 | − | 13.7511i | 1.11292 | − | 0.642545i | ||||
\(459\) | −16.1093 | − | 6.59892i | −0.751918 | − | 0.308011i | ||||
\(460\) | 1.60695 | − | 1.60695i | 0.0749247 | − | 0.0749247i | ||||
\(461\) | 24.8266 | + | 24.8266i | 1.15629 | + | 1.15629i | 0.985267 | + | 0.171021i | \(0.0547066\pi\) |
0.171021 | + | 0.985267i | \(0.445293\pi\) | |||||||
\(462\) | 0.818037 | + | 0.180235i | 0.0380585 | + | 0.00838529i | ||||
\(463\) | −27.2532 | + | 7.30248i | −1.26657 | + | 0.339375i | −0.828714 | − | 0.559672i | \(-0.810927\pi\) |
−0.437851 | + | 0.899047i | \(0.644260\pi\) | |||||||
\(464\) | 14.9778 | − | 8.64744i | 0.695327 | − | 0.401447i | ||||
\(465\) | −23.2131 | + | 14.8310i | −1.07648 | + | 0.687771i | ||||
\(466\) | −4.32226 | + | 1.15815i | −0.200225 | + | 0.0536501i | ||||
\(467\) | −32.4424 | −1.50126 | −0.750628 | − | 0.660726i | \(-0.770249\pi\) | ||||
−0.750628 | + | 0.660726i | \(0.770249\pi\) | |||||||
\(468\) | 2.77175 | + | 4.82158i | 0.128124 | + | 0.222878i | ||||
\(469\) | −0.769740 | −0.0355433 | ||||||||
\(470\) | 16.3889 | − | 4.39140i | 0.755965 | − | 0.202560i | ||||
\(471\) | 26.3640 | + | 13.6805i | 1.21479 | + | 0.630365i | ||||
\(472\) | −5.63015 | + | 3.25057i | −0.259148 | + | 0.149619i | ||||
\(473\) | −0.642105 | + | 0.172051i | −0.0295240 | + | 0.00791094i | ||||
\(474\) | −2.86031 | + | 3.12967i | −0.131378 | + | 0.143751i | ||||
\(475\) | 1.65423 | + | 1.65423i | 0.0759013 | + | 0.0759013i | ||||
\(476\) | 1.21804 | − | 1.21804i | 0.0558289 | − | 0.0558289i | ||||
\(477\) | 0.445383 | + | 4.94215i | 0.0203927 | + | 0.226286i | ||||
\(478\) | 11.5468 | − | 6.66653i | 0.528137 | − | 0.304920i | ||||
\(479\) | 0.873843 | + | 3.26123i | 0.0399269 | + | 0.149009i | 0.983012 | − | 0.183543i | \(-0.0587568\pi\) |
−0.943085 | + | 0.332553i | \(0.892090\pi\) | |||||||
\(480\) | 7.47908 | − | 0.336323i | 0.341372 | − | 0.0153510i | ||||
\(481\) | 15.1719 | + | 5.59920i | 0.691780 | + | 0.255301i | ||||
\(482\) | 16.4547 | + | 9.50011i | 0.749490 | + | 0.432718i | ||||
\(483\) | 3.38049 | − | 3.69884i | 0.153818 | − | 0.168303i | ||||
\(484\) | −2.78741 | + | 4.82794i | −0.126701 | + | 0.219452i | ||||
\(485\) | −1.56904 | + | 2.71765i | −0.0712463 | + | 0.123402i | ||||
\(486\) | −8.88372 | − | 16.7970i | −0.402974 | − | 0.761926i | ||||
\(487\) | −4.02155 | − | 15.0086i | −0.182234 | − | 0.680106i | −0.995206 | − | 0.0978032i | \(-0.968818\pi\) |
0.812972 | − | 0.582303i | \(-0.197848\pi\) | |||||||
\(488\) | 17.8843 | − | 17.8843i | 0.809584 | − | 0.809584i | ||||
\(489\) | −7.33866 | − | 23.1698i | −0.331865 | − | 1.04777i | ||||
\(490\) | −0.931152 | − | 1.61280i | −0.0420652 | − | 0.0728590i | ||||
\(491\) | −7.66939 | −0.346115 | −0.173057 | − | 0.984912i | \(-0.555365\pi\) | ||||
−0.173057 | + | 0.984912i | \(0.555365\pi\) | |||||||
\(492\) | −1.14350 | + | 5.19003i | −0.0515529 | + | 0.233985i | ||||
\(493\) | 18.5348 | − | 10.7011i | 0.834765 | − | 0.481952i | ||||
\(494\) | 3.50276 | − | 1.61431i | 0.157597 | − | 0.0726312i | ||||
\(495\) | 1.04691 | + | 1.48687i | 0.0470553 | + | 0.0668301i | ||||
\(496\) | −27.2222 | − | 7.29417i | −1.22231 | − | 0.327518i | ||||
\(497\) | −3.92425 | − | 2.26567i | −0.176027 | − | 0.101629i | ||||
\(498\) | −5.02909 | + | 0.226150i | −0.225359 | + | 0.0101340i | ||||
\(499\) | 2.66639 | + | 9.95110i | 0.119364 | + | 0.445472i | 0.999576 | − | 0.0291078i | \(-0.00926660\pi\) |
−0.880212 | + | 0.474580i | \(0.842600\pi\) | |||||||
\(500\) | −1.55855 | + | 5.81657i | −0.0697003 | + | 0.260125i | ||||
\(501\) | 10.4241 | + | 9.52690i | 0.465713 | + | 0.425630i | ||||
\(502\) | 0.200946 | − | 0.749942i | 0.00896868 | − | 0.0334716i | ||||
\(503\) | −29.7393 | − | 17.1700i | −1.32601 | − | 0.765573i | −0.341330 | − | 0.939943i | \(-0.610878\pi\) |
−0.984680 | + | 0.174371i | \(0.944211\pi\) | |||||||
\(504\) | 9.15680 | − | 0.825203i | 0.407876 | − | 0.0367575i | ||||
\(505\) | 2.33619 | − | 8.71877i | 0.103959 | − | 0.387980i | ||||
\(506\) | 0.699570 | + | 1.21169i | 0.0310997 | + | 0.0538662i | ||||
\(507\) | −3.10973 | + | 22.3009i | −0.138108 | + | 0.990417i | ||||
\(508\) | 0.249804 | − | 0.432674i | 0.0110833 | − | 0.0191968i | ||||
\(509\) | 25.7832 | + | 25.7832i | 1.14282 | + | 1.14282i | 0.987932 | + | 0.154888i | \(0.0495015\pi\) |
0.154888 | + | 0.987932i | \(0.450498\pi\) | |||||||
\(510\) | −10.7957 | + | 0.485467i | −0.478043 | + | 0.0214968i | ||||
\(511\) | 4.32173i | 0.191182i | ||||||||
\(512\) | 17.1497 | + | 17.1497i | 0.757919 | + | 0.757919i | ||||
\(513\) | 4.20596 | − | 1.76149i | 0.185698 | − | 0.0777716i | ||||
\(514\) | 27.8441 | − | 7.46080i | 1.22815 | − | 0.329082i | ||||
\(515\) | −18.2632 | − | 4.89362i | −0.804775 | − | 0.215639i | ||||
\(516\) | −1.25739 | + | 0.803353i | −0.0553534 | + | 0.0353657i | ||||
\(517\) | − | 3.61473i | − | 0.158976i | ||||||
\(518\) | 3.86605 | − | 3.86605i | 0.169864 | − | 0.169864i | ||||
\(519\) | −1.13580 | − | 25.2578i | −0.0498562 | − | 1.10869i | ||||
\(520\) | 13.7852 | + | 9.74475i | 0.604519 | + | 0.427336i | ||||
\(521\) | 21.2074i | 0.929114i | 0.885543 | + | 0.464557i | \(0.153786\pi\) | ||||
−0.885543 | + | 0.464557i | \(0.846214\pi\) | |||||||
\(522\) | 23.0163 | + | 3.99648i | 1.00740 | + | 0.174921i | ||||
\(523\) | −3.76744 | − | 6.52540i | −0.164739 | − | 0.285336i | 0.771824 | − | 0.635837i | \(-0.219345\pi\) |
−0.936562 | + | 0.350501i | \(0.886011\pi\) | |||||||
\(524\) | 4.56195 | 0.199290 | ||||||||
\(525\) | −0.993501 | + | 4.50923i | −0.0433599 | + | 0.196799i | ||||
\(526\) | 20.5582 | + | 5.50855i | 0.896379 | + | 0.240184i | ||||
\(527\) | −33.6870 | − | 9.02642i | −1.46743 | − | 0.393197i | ||||
\(528\) | −0.400306 | + | 1.81688i | −0.0174211 | + | 0.0790696i | ||||
\(529\) | −14.6303 | −0.636099 | ||||||||
\(530\) | 1.54018 | + | 2.66767i | 0.0669012 | + | 0.115876i | ||||
\(531\) | −6.27020 | − | 1.08874i | −0.272103 | − | 0.0472473i | ||||
\(532\) | 0.451206i | 0.0195622i | ||||||||
\(533\) | −16.5445 | + | 13.7567i | −0.716622 | + | 0.595869i | ||||
\(534\) | 1.09133 | + | 24.2689i | 0.0472266 | + | 1.05022i | ||||
\(535\) | −1.81135 | + | 1.81135i | −0.0783115 | + | 0.0783115i | ||||
\(536\) | − | 2.35897i | − | 0.101892i | ||||||
\(537\) | 8.14349 | − | 5.20293i | 0.351418 | − | 0.224523i | ||||
\(538\) | 19.1327 | + | 5.12658i | 0.824868 | + | 0.221023i | ||||
\(539\) | −0.383234 | + | 0.102687i | −0.0165070 | + | 0.00442305i | ||||
\(540\) | 3.24796 | + | 2.47211i | 0.139770 | + | 0.106383i | ||||
\(541\) | −16.2888 | − | 16.2888i | −0.700309 | − | 0.700309i | 0.264167 | − | 0.964477i | \(-0.414903\pi\) |
−0.964477 | + | 0.264167i | \(0.914903\pi\) | |||||||
\(542\) | 5.30962i | 0.228068i | ||||||||
\(543\) | 42.7624 | − | 1.92296i | 1.83511 | − | 0.0825221i | ||||
\(544\) | 6.70233 | + | 6.70233i | 0.287360 | + | 0.287360i | ||||
\(545\) | 5.74303 | − | 9.94723i | 0.246005 | − | 0.426092i | ||||
\(546\) | 6.40717 | + | 4.11046i | 0.274202 | + | 0.175911i | ||||
\(547\) | −6.85569 | − | 11.8744i | −0.293128 | − | 0.507713i | 0.681420 | − | 0.731893i | \(-0.261363\pi\) |
−0.974548 | + | 0.224180i | \(0.928030\pi\) | |||||||
\(548\) | −2.00464 | + | 7.48142i | −0.0856340 | + | 0.319590i | ||||
\(549\) | 24.6588 | − | 2.22223i | 1.05241 | − | 0.0948426i | ||||
\(550\) | −1.11653 | − | 0.644631i | −0.0476091 | − | 0.0274871i | ||||
\(551\) | −1.45094 | + | 5.41499i | −0.0618123 | + | 0.230686i | ||||
\(552\) | 11.3356 | + | 10.3600i | 0.482475 | + | 0.440950i | ||||
\(553\) | 0.519755 | − | 1.93975i | 0.0221022 | − | 0.0824867i | ||||
\(554\) | 4.78940 | + | 17.8743i | 0.203482 | + | 0.759406i | ||||
\(555\) | 11.8572 | − | 0.533200i | 0.503311 | − | 0.0226331i | ||||
\(556\) | 0.516544 | + | 0.298227i | 0.0219064 | + | 0.0126476i | ||||
\(557\) | −16.5992 | − | 4.44774i | −0.703331 | − | 0.188457i | −0.110609 | − | 0.993864i | \(-0.535280\pi\) |
−0.592722 | + | 0.805407i | \(0.701947\pi\) | |||||||
\(558\) | −21.9156 | − | 31.1255i | −0.927760 | − | 1.31765i | ||||
\(559\) | −6.01567 | − | 0.553458i | −0.254436 | − | 0.0234088i | ||||
\(560\) | 3.58207 | − | 2.06811i | 0.151370 | − | 0.0873937i | ||||
\(561\) | −0.495373 | + | 2.24836i | −0.0209146 | + | 0.0949259i | ||||
\(562\) | −3.05819 | −0.129002 | ||||||||
\(563\) | 18.1746 | + | 31.4793i | 0.765967 | + | 1.32669i | 0.939734 | + | 0.341906i | \(0.111073\pi\) |
−0.173767 | + | 0.984787i | \(0.555594\pi\) | |||||||
\(564\) | −2.44991 | − | 7.73492i | −0.103160 | − | 0.325699i | ||||
\(565\) | 13.5100 | − | 13.5100i | 0.568372 | − | 0.568372i | ||||
\(566\) | 0.171205 | + | 0.638945i | 0.00719628 | + | 0.0268569i | ||||
\(567\) | 7.39921 | + | 5.12364i | 0.310738 | + | 0.215172i | ||||
\(568\) | 6.94345 | − | 12.0264i | 0.291341 | − | 0.504617i | ||||
\(569\) | −13.7605 | + | 23.8340i | −0.576872 | + | 0.999172i | 0.418963 | + | 0.908003i | \(0.362394\pi\) |
−0.995835 | + | 0.0911686i | \(0.970940\pi\) | |||||||
\(570\) | 1.90964 | − | 2.08947i | 0.0799860 | − | 0.0875184i | ||||
\(571\) | 17.9791 | + | 10.3803i | 0.752404 | + | 0.434400i | 0.826562 | − | 0.562846i | \(-0.190294\pi\) |
−0.0741581 | + | 0.997247i | \(0.523627\pi\) | |||||||
\(572\) | 0.565547 | − | 0.470251i | 0.0236467 | − | 0.0196622i | ||||
\(573\) | −18.3382 | + | 0.824639i | −0.766088 | + | 0.0344498i | ||||
\(574\) | 1.88272 | + | 7.02641i | 0.0785833 | + | 0.293277i | ||||
\(575\) | −6.67915 | + | 3.85621i | −0.278540 | + | 0.160815i | ||||
\(576\) | 2.38658 | + | 26.4825i | 0.0994408 | + | 1.10344i | ||||
\(577\) | −11.5116 | + | 11.5116i | −0.479233 | + | 0.479233i | −0.904886 | − | 0.425653i | \(-0.860044\pi\) |
0.425653 | + | 0.904886i | \(0.360044\pi\) | |||||||
\(578\) | 4.97826 | + | 4.97826i | 0.207069 | + | 0.207069i | ||||
\(579\) | −10.7095 | + | 11.7181i | −0.445073 | + | 0.486987i | ||||
\(580\) | −4.84714 | + | 1.29879i | −0.201266 | + | 0.0539292i | ||||
\(581\) | 2.06496 | − | 1.19221i | 0.0856691 | − | 0.0494611i | ||||
\(582\) | −3.84919 | − | 1.99738i | −0.159554 | − | 0.0827940i | ||||
\(583\) | 0.633892 | − | 0.169851i | 0.0262531 | − | 0.00703450i | ||||
\(584\) | −13.2445 | −0.548062 | ||||||||
\(585\) | 4.24732 | + | 15.9705i | 0.175605 | + | 0.660298i | ||||
\(586\) | −1.88472 | −0.0778572 | ||||||||
\(587\) | 28.5542 | − | 7.65108i | 1.17856 | − | 0.315794i | 0.384204 | − | 0.923248i | \(-0.374476\pi\) |
0.794355 | + | 0.607454i | \(0.207809\pi\) | |||||||
\(588\) | −0.750459 | + | 0.479473i | −0.0309484 | + | 0.0197731i | ||||
\(589\) | 7.91128 | − | 4.56758i | 0.325979 | − | 0.188204i | ||||
\(590\) | −3.81597 | + | 1.02249i | −0.157101 | + | 0.0420950i | ||||
\(591\) | 11.2673 | + | 2.48249i | 0.463476 | + | 0.102116i | ||||
\(592\) | 8.58658 | + | 8.58658i | 0.352906 | + | 0.352906i | ||||
\(593\) | −27.3323 | + | 27.3323i | −1.12240 | + | 1.12240i | −0.131023 | + | 0.991379i | \(0.541826\pi\) |
−0.991379 | + | 0.131023i | \(0.958174\pi\) | |||||||
\(594\) | −1.98767 | + | 1.53759i | −0.0815551 | + | 0.0630882i | ||||
\(595\) | 4.43276 | − | 2.55926i | 0.181725 | − | 0.104919i | ||||
\(596\) | 2.62640 | + | 9.80188i | 0.107582 | + | 0.401500i | ||||
\(597\) | 1.19140 | − | 2.29596i | 0.0487606 | − | 0.0939674i | ||||
\(598\) | 2.15182 | + | 12.5315i | 0.0879946 | + | 0.512451i | ||||
\(599\) | −1.95166 | − | 1.12679i | −0.0797425 | − | 0.0460393i | 0.459599 | − | 0.888127i | \(-0.347993\pi\) |
−0.539341 | + | 0.842087i | \(0.681327\pi\) | |||||||
\(600\) | −13.8192 | − | 3.04472i | −0.564165 | − | 0.124300i | ||||
\(601\) | 9.58522 | − | 16.6021i | 0.390989 | − | 0.677213i | −0.601591 | − | 0.798804i | \(-0.705466\pi\) |
0.992580 | + | 0.121591i | \(0.0387997\pi\) | |||||||
\(602\) | −1.02117 | + | 1.76872i | −0.0416198 | + | 0.0720876i | ||||
\(603\) | 1.47972 | − | 1.77283i | 0.0602587 | − | 0.0721953i | ||||
\(604\) | −2.19311 | − | 8.18479i | −0.0892363 | − | 0.333034i | ||||
\(605\) | −11.7134 | + | 11.7134i | −0.476217 | + | 0.476217i | ||||
\(606\) | 12.1815 | + | 2.68390i | 0.494839 | + | 0.109026i | ||||
\(607\) | 17.8713 | + | 30.9540i | 0.725373 | + | 1.25638i | 0.958820 | + | 0.284013i | \(0.0916660\pi\) |
−0.233447 | + | 0.972369i | \(0.575001\pi\) | |||||||
\(608\) | −2.48278 | −0.100690 | ||||||||
\(609\) | −10.5482 | + | 3.34098i | −0.427436 | + | 0.135383i | ||||
\(610\) | 13.3103 | − | 7.68472i | 0.538920 | − | 0.311145i | ||||
\(611\) | 11.3733 | − | 30.8178i | 0.460114 | − | 1.24675i | ||||
\(612\) | 0.463831 | + | 5.14686i | 0.0187492 | + | 0.208050i | ||||
\(613\) | −15.8973 | − | 4.25968i | −0.642087 | − | 0.172047i | −0.0769385 | − | 0.997036i | \(-0.524515\pi\) |
−0.565149 | + | 0.824989i | \(0.691181\pi\) | |||||||
\(614\) | 2.82230 | + | 1.62946i | 0.113899 | + | 0.0657595i | ||||
\(615\) | −7.27351 | + | 14.0169i | −0.293296 | + | 0.565217i | ||||
\(616\) | −0.314699 | − | 1.17447i | −0.0126796 | − | 0.0473208i | ||||
\(617\) | −9.28407 | + | 34.6486i | −0.373763 | + | 1.39490i | 0.481382 | + | 0.876511i | \(0.340135\pi\) |
−0.855144 | + | 0.518390i | \(0.826532\pi\) | |||||||
\(618\) | 5.62197 | − | 25.5166i | 0.226149 | − | 1.02643i | ||||
\(619\) | 10.9462 | − | 40.8518i | 0.439965 | − | 1.64197i | −0.288934 | − | 0.957349i | \(-0.593301\pi\) |
0.728899 | − | 0.684622i | \(-0.240033\pi\) | |||||||
\(620\) | 7.08164 | + | 4.08859i | 0.284406 | + | 0.164202i | ||||
\(621\) | 2.02049 | + | 14.8963i | 0.0810796 | + | 0.597768i | ||||
\(622\) | 4.54877 | − | 16.9762i | 0.182389 | − | 0.680685i | ||||
\(623\) | −5.75323 | − | 9.96489i | −0.230498 | − | 0.399235i | ||||
\(624\) | −9.12943 | + | 14.2305i | −0.365470 | + | 0.569675i | ||||
\(625\) | −2.28201 | + | 3.95256i | −0.0912805 | + | 0.158103i | ||||
\(626\) | −28.1512 | − | 28.1512i | −1.12515 | − | 1.12515i | ||||
\(627\) | −0.324684 | − | 0.508188i | −0.0129666 | − | 0.0202951i | ||||
\(628\) | − | 8.81709i | − | 0.351840i | ||||||
\(629\) | 10.6258 | + | 10.6258i | 0.423677 | + | 0.423677i | ||||
\(630\) | 5.50455 | + | 0.955794i | 0.219306 | + | 0.0380798i | ||||
\(631\) | −23.7159 | + | 6.35466i | −0.944116 | + | 0.252975i | −0.697864 | − | 0.716231i | \(-0.745866\pi\) |
−0.246252 | + | 0.969206i | \(0.579199\pi\) | |||||||
\(632\) | 5.94464 | + | 1.59286i | 0.236465 | + | 0.0633606i | ||||
\(633\) | −1.36432 | − | 30.3395i | −0.0542268 | − | 1.20589i | ||||
\(634\) | − | 13.5438i | − | 0.537891i | ||||||
\(635\) | 1.04974 | − | 1.04974i | 0.0416576 | − | 0.0416576i | ||||
\(636\) | 1.24130 | − | 0.793077i | 0.0492209 | − | 0.0314476i | ||||
\(637\) | −3.59039 | − | 0.330326i | −0.142256 | − | 0.0130880i | ||||
\(638\) | − | 3.08947i | − | 0.122313i | ||||||
\(639\) | 12.7620 | − | 4.68275i | 0.504857 | − | 0.185247i | ||||
\(640\) | 3.93064 | + | 6.80807i | 0.155372 | + | 0.269113i | ||||
\(641\) | 3.96009 | 0.156414 | 0.0782070 | − | 0.996937i | \(-0.475080\pi\) | ||||
0.0782070 | + | 0.996937i | \(0.475080\pi\) | |||||||
\(642\) | −2.61306 | − | 2.38816i | −0.103129 | − | 0.0942532i | ||||
\(643\) | −21.8791 | − | 5.86249i | −0.862828 | − | 0.231194i | −0.199844 | − | 0.979828i | \(-0.564044\pi\) |
−0.662984 | + | 0.748634i | \(0.730710\pi\) | |||||||
\(644\) | −1.43680 | − | 0.384991i | −0.0566180 | − | 0.0151708i | ||||
\(645\) | −4.22676 | + | 1.33876i | −0.166429 | + | 0.0527136i | ||||
\(646\) | 3.58378 | 0.141002 | ||||||||
\(647\) | −6.77058 | − | 11.7270i | −0.266179 | − | 0.461036i | 0.701693 | − | 0.712480i | \(-0.252428\pi\) |
−0.967872 | + | 0.251444i | \(0.919095\pi\) | |||||||
\(648\) | −15.7021 | + | 22.6759i | −0.616836 | + | 0.890793i | ||||
\(649\) | 0.841647i | 0.0330375i | ||||||||
\(650\) | −7.49087 | − | 9.00889i | −0.293816 | − | 0.353358i | ||||
\(651\) | 16.0038 | + | 8.30455i | 0.627240 | + | 0.325481i | ||||
\(652\) | −5.10158 | + | 5.10158i | −0.199793 | + | 0.199793i | ||||
\(653\) | − | 21.1087i | − | 0.826048i | −0.910720 | − | 0.413024i | \(-0.864473\pi\) | ||
0.910720 | − | 0.413024i | \(-0.135527\pi\) | |||||||
\(654\) | 14.0889 | + | 7.31086i | 0.550919 | + | 0.285877i | ||||
\(655\) | 13.0936 | + | 3.50843i | 0.511610 | + | 0.137086i | ||||
\(656\) | −15.6058 | + | 4.18157i | −0.609305 | + | 0.163263i | ||||
\(657\) | −9.95362 | − | 8.30791i | −0.388328 | − | 0.324122i | ||||
\(658\) | −7.85285 | − | 7.85285i | −0.306136 | − | 0.306136i | ||||
\(659\) | − | 29.8416i | − | 1.16246i | −0.813738 | − | 0.581232i | \(-0.802571\pi\) | ||
0.813738 | − | 0.581232i | \(-0.197429\pi\) | |||||||
\(660\) | 0.248633 | − | 0.479145i | 0.00967803 | − | 0.0186507i | ||||
\(661\) | −14.6111 | − | 14.6111i | −0.568307 | − | 0.568307i | 0.363347 | − | 0.931654i | \(-0.381634\pi\) |
−0.931654 | + | 0.363347i | \(0.881634\pi\) | |||||||
\(662\) | 8.16506 | − | 14.1423i | 0.317344 | − | 0.549656i | ||||
\(663\) | −11.2975 | + | 17.6100i | −0.438760 | + | 0.683916i | ||||
\(664\) | 3.65368 | + | 6.32836i | 0.141790 | + | 0.245588i | ||||
\(665\) | −0.347006 | + | 1.29504i | −0.0134563 | + | 0.0502196i | ||||
\(666\) | 1.47219 | + | 16.3360i | 0.0570462 | + | 0.633009i | ||||
\(667\) | −16.0053 | − | 9.24067i | −0.619728 | − | 0.357800i | ||||
\(668\) | 1.08498 | − | 4.04920i | 0.0419791 | − | 0.156668i | ||||
\(669\) | 28.7738 | − | 9.11363i | 1.11246 | − | 0.352353i | ||||
\(670\) | 0.371014 | − | 1.38464i | 0.0143335 | − | 0.0534935i | ||||
\(671\) | −0.847469 | − | 3.16280i | −0.0327162 | − | 0.122098i | ||||
\(672\) | −2.63832 | − | 4.12943i | −0.101775 | − | 0.159296i | ||||
\(673\) | −24.7925 | − | 14.3140i | −0.955680 | − | 0.551762i | −0.0608396 | − | 0.998148i | \(-0.519378\pi\) |
−0.894841 | + | 0.446385i | \(0.852711\pi\) | |||||||
\(674\) | 39.3629 | + | 10.5473i | 1.51620 | + | 0.406266i | ||||
\(675\) | −8.47561 | − | 10.9566i | −0.326226 | − | 0.421718i | ||||
\(676\) | 6.30121 | − | 2.22975i | 0.242354 | − | 0.0857595i | ||||
\(677\) | 12.7675 | − | 7.37129i | 0.490693 | − | 0.283302i | −0.234169 | − | 0.972196i | \(-0.575237\pi\) |
0.724862 | + | 0.688894i | \(0.241904\pi\) | |||||||
\(678\) | 19.4896 | + | 17.8122i | 0.748494 | + | 0.684074i | ||||
\(679\) | 2.05399 | 0.0788250 | ||||||||
\(680\) | 7.84319 | + | 13.5848i | 0.300773 | + | 0.520953i | ||||
\(681\) | −33.4287 | + | 36.5768i | −1.28099 | + | 1.40163i | ||||
\(682\) | −3.55984 | + | 3.55984i | −0.136313 | + | 0.136313i | ||||
\(683\) | 2.25602 | + | 8.41960i | 0.0863244 | + | 0.322167i | 0.995562 | − | 0.0941112i | \(-0.0300009\pi\) |
−0.909237 | + | 0.416278i | \(0.863334\pi\) | |||||||
\(684\) | −1.03920 | − | 0.867379i | −0.0397347 | − | 0.0331651i | ||||
\(685\) | −11.5074 | + | 19.9314i | −0.439674 | + | 0.761538i | ||||
\(686\) | −0.609475 | + | 1.05564i | −0.0232699 | + | 0.0403046i | ||||
\(687\) | −11.7998 | − | 37.2547i | −0.450192 | − | 1.42136i | ||||
\(688\) | −3.92837 | − | 2.26804i | −0.149768 | − | 0.0864684i | ||||
\(689\) | 5.93872 | + | 0.546379i | 0.226247 | + | 0.0208154i | ||||
\(690\) | 5.02425 | + | 7.86383i | 0.191270 | + | 0.299371i | ||||
\(691\) | −4.92425 | − | 18.3775i | −0.187327 | − | 0.699114i | −0.994120 | − | 0.108280i | \(-0.965466\pi\) |
0.806793 | − | 0.590834i | \(-0.201201\pi\) | |||||||
\(692\) | −6.49984 | + | 3.75268i | −0.247087 | + | 0.142656i | ||||
\(693\) | 0.500208 | − | 1.08005i | 0.0190013 | − | 0.0410277i | ||||
\(694\) | −11.4654 | + | 11.4654i | −0.435221 | + | 0.435221i | ||||
\(695\) | 1.25322 | + | 1.25322i | 0.0475374 | + | 0.0475374i | ||||
\(696\) | −10.2389 | − | 32.3265i | −0.388104 | − | 1.22533i | ||||
\(697\) | −19.3120 | + | 5.17463i | −0.731493 | + | 0.196003i | ||||
\(698\) | 0.704329 | − | 0.406644i | 0.0266592 | − | 0.0153917i | ||||
\(699\) | 0.285635 | + | 6.35189i | 0.0108037 | + | 0.240251i | ||||
\(700\) | 1.32397 | − | 0.354756i | 0.0500413 | − | 0.0134085i | ||||
\(701\) | 32.6015 | 1.23134 | 0.615670 | − | 0.788004i | \(-0.288885\pi\) | ||||
0.615670 | + | 0.788004i | \(0.288885\pi\) | |||||||
\(702\) | −21.7839 | + | 6.85496i | −0.822181 | + | 0.258724i | ||||
\(703\) | −3.93615 | −0.148455 | ||||||||
\(704\) | 3.39670 | − | 0.910144i | 0.128018 | − | 0.0343024i | ||||
\(705\) | −1.08306 | − | 24.0848i | −0.0407902 | − | 0.907086i | ||||
\(706\) | 23.7733 | − | 13.7255i | 0.894718 | − | 0.516566i | ||||
\(707\) | −5.70677 | + | 1.52912i | −0.214625 | + | 0.0575087i | ||||
\(708\) | 0.570433 | + | 1.80098i | 0.0214382 | + | 0.0676851i | ||||
\(709\) | −30.1693 | − | 30.1693i | −1.13303 | − | 1.13303i | −0.989670 | − | 0.143363i | \(-0.954208\pi\) |
−0.143363 | − | 0.989670i | \(-0.545792\pi\) | |||||||
\(710\) | 5.96708 | − | 5.96708i | 0.223940 | − | 0.223940i | ||||
\(711\) | 3.46840 | + | 4.92598i | 0.130075 | + | 0.184739i | ||||
\(712\) | 30.5388 | − | 17.6316i | 1.14449 | − | 0.660771i | ||||
\(713\) | 7.79456 | + | 29.0897i | 0.291909 | + | 1.08942i | ||||
\(714\) | 3.80829 | + | 5.96064i | 0.142522 | + | 0.223072i | ||||
\(715\) | 1.98488 | − | 0.914764i | 0.0742302 | − | 0.0342103i | ||||
\(716\) | −2.48434 | − | 1.43434i | −0.0928443 | − | 0.0536037i | ||||
\(717\) | −5.72057 | − | 18.0611i | −0.213639 | − | 0.674505i | ||||
\(718\) | −5.91682 | + | 10.2482i | −0.220814 | + | 0.382461i | ||||
\(719\) | −15.8407 | + | 27.4368i | −0.590757 | + | 1.02322i | 0.403374 | + | 0.915035i | \(0.367838\pi\) |
−0.994131 | + | 0.108186i | \(0.965496\pi\) | |||||||
\(720\) | −2.12284 | + | 12.2257i | −0.0791137 | + | 0.455626i | ||||
\(721\) | 3.20307 | + | 11.9540i | 0.119288 | + | 0.445190i | ||||
\(722\) | 15.7129 | − | 15.7129i | 0.584772 | − | 0.584772i | ||||
\(723\) | 18.2137 | − | 19.9289i | 0.677374 | − | 0.741163i | ||||
\(724\) | −6.35344 | − | 11.0045i | −0.236124 | − | 0.408978i | ||||
\(725\) | 17.0300 | 0.632477 | ||||||||
\(726\) | −16.8978 | − | 15.4434i | −0.627135 | − | 0.573159i | ||||
\(727\) | 38.2162 | − | 22.0642i | 1.41736 | − | 0.818314i | 0.421295 | − | 0.906924i | \(-0.361576\pi\) |
0.996066 | + | 0.0886094i | \(0.0282423\pi\) | |||||||
\(728\) | 1.01233 | − | 11.0032i | 0.0375194 | − | 0.407807i | ||||
\(729\) | −26.0245 | + | 7.19209i | −0.963870 | + | 0.266374i | ||||
\(730\) | −7.77413 | − | 2.08307i | −0.287733 | − | 0.0770979i | ||||
\(731\) | −4.86130 | − | 2.80667i | −0.179802 | − | 0.103808i | ||||
\(732\) | −3.95705 | − | 6.19348i | −0.146257 | − | 0.228918i | ||||
\(733\) | −8.62665 | − | 32.1951i | −0.318633 | − | 1.18915i | −0.920560 | − | 0.390602i | \(-0.872267\pi\) |
0.601927 | − | 0.798551i | \(-0.294400\pi\) | |||||||
\(734\) | −9.17730 | + | 34.2502i | −0.338740 | + | 1.26420i | ||||
\(735\) | −2.52270 | + | 0.799025i | −0.0930512 | + | 0.0294725i | ||||
\(736\) | 2.11843 | − | 7.90607i | 0.0780862 | − | 0.291422i | ||||
\(737\) | −0.264481 | − | 0.152698i | −0.00974228 | − | 0.00562471i | ||||
\(738\) | −19.8022 | − | 9.17107i | −0.728929 | − | 0.337592i | ||||
\(739\) | 11.3499 | − | 42.3584i | 0.417513 | − | 1.55818i | −0.362235 | − | 0.932087i | \(-0.617986\pi\) |
0.779748 | − | 0.626094i | \(-0.215347\pi\) | |||||||
\(740\) | −1.76169 | − | 3.05134i | −0.0647610 | − | 0.112169i | ||||
\(741\) | −1.16918 | − | 5.35418i | −0.0429509 | − | 0.196691i | ||||
\(742\) | 1.00811 | − | 1.74610i | 0.0370088 | − | 0.0641012i | ||||
\(743\) | −21.4967 | − | 21.4967i | −0.788637 | − | 0.788637i | 0.192634 | − | 0.981271i | \(-0.438297\pi\) |
−0.981271 | + | 0.192634i | \(0.938297\pi\) | |||||||
\(744\) | −25.4504 | + | 49.0459i | −0.933057 | + | 1.79811i | ||||
\(745\) | 30.1531i | 1.10472i | ||||||||
\(746\) | 20.4067 | + | 20.4067i | 0.747143 | + | 0.747143i | ||||
\(747\) | −1.22376 | + | 7.04779i | −0.0447750 | + | 0.257865i | ||||
\(748\) | 0.660148 | − | 0.176886i | 0.0241374 | − | 0.00646760i | ||||
\(749\) | 1.61956 | + | 0.433959i | 0.0591774 | + | 0.0158565i | ||||
\(750\) | −21.9480 | − | 11.3890i | −0.801427 | − | 0.415868i | ||||
\(751\) | 7.69614i | 0.280836i | 0.990092 | + | 0.140418i | \(0.0448447\pi\) | ||||
−0.990092 | + | 0.140418i | \(0.955155\pi\) | |||||||
\(752\) | 17.4414 | − | 17.4414i | 0.636021 | − | 0.636021i | ||||
\(753\) | −0.979225 | − | 0.508129i | −0.0356849 | − | 0.0185173i | ||||
\(754\) | 9.72062 | − | 26.3396i | 0.354004 | − | 0.959231i | ||||
\(755\) | − | 25.1785i | − | 0.916339i | ||||||
\(756\) | 0.338349 | − | 2.65014i | 0.0123056 | − | 0.0963848i | ||||
\(757\) | 25.6208 | + | 44.3765i | 0.931202 | + | 1.61289i | 0.781270 | + | 0.624194i | \(0.214572\pi\) |
0.149933 | + | 0.988696i | \(0.452094\pi\) | |||||||
\(758\) | −34.8907 | −1.26729 | ||||||||
\(759\) | 1.89529 | − | 0.600304i | 0.0687947 | − | 0.0217896i | ||||
\(760\) | −3.96884 | − | 1.06345i | −0.143965 | − | 0.0385753i | ||||
\(761\) | −14.5512 | − | 3.89899i | −0.527482 | − | 0.141338i | −0.0147565 | − | 0.999891i | \(-0.504697\pi\) |
−0.512725 | + | 0.858553i | \(0.671364\pi\) | |||||||
\(762\) | 1.51435 | + | 1.38402i | 0.0548593 | + | 0.0501377i | ||||
\(763\) | −7.51807 | −0.272173 | ||||||||
\(764\) | 2.72460 | + | 4.71915i | 0.0985726 | + | 0.170733i | ||||
\(765\) | −2.62698 | + | 15.1292i | −0.0949788 | + | 0.546996i | ||||
\(766\) | 37.7800i | 1.36505i | ||||||||
\(767\) | −2.64813 | + | 7.17554i | −0.0956185 | + | 0.259094i | ||||
\(768\) | 16.7187 | − | 10.6817i | 0.603283 | − | 0.385441i | ||||
\(769\) | 0.266263 | − | 0.266263i | 0.00960168 | − | 0.00960168i | −0.702290 | − | 0.711891i | \(-0.747839\pi\) |
0.711891 | + | 0.702290i | \(0.247839\pi\) | |||||||
\(770\) | − | 0.738874i | − | 0.0266272i | ||||||
\(771\) | −1.84006 | − | 40.9190i | −0.0662683 | − | 1.47366i | ||||
\(772\) | 4.55186 | + | 1.21967i | 0.163825 | + | 0.0438968i | ||||
\(773\) | −26.8160 | + | 7.18532i | −0.964503 | + | 0.258438i | −0.706505 | − | 0.707708i | \(-0.749729\pi\) |
−0.257998 | + | 0.966145i | \(0.583063\pi\) | |||||||
\(774\) | −2.11058 | − | 5.75203i | −0.0758634 | − | 0.206752i | ||||
\(775\) | −19.6228 | − | 19.6228i | −0.704871 | − | 0.704871i | ||||
\(776\) | 6.29474i | 0.225968i | ||||||||
\(777\) | −4.18275 | − | 6.54673i | −0.150055 | − | 0.234863i | ||||
\(778\) | −14.5895 | − | 14.5895i | −0.523057 | − | 0.523057i | ||||
\(779\) | 2.61848 | − | 4.53534i | 0.0938169 | − | 0.162496i | ||||
\(780\) | 3.62732 | − | 3.30271i | 0.129879 | − | 0.118256i | ||||
\(781\) | −0.898909 | − | 1.55696i | −0.0321655 | − | 0.0557123i | ||||
\(782\) | −3.05785 | + | 11.4121i | −0.109349 | + | 0.408094i | ||||
\(783\) | 12.5827 | − | 30.7168i | 0.449667 | − | 1.09773i | ||||
\(784\) | −2.34461 | − | 1.35366i | −0.0837359 | − | 0.0483450i | ||||
\(785\) | 6.78090 | − | 25.3067i | 0.242021 | − | 0.903234i | ||||
\(786\) | −4.03061 | + | 18.2938i | −0.143767 | + | 0.652520i | ||||
\(787\) | −3.03813 | + | 11.3385i | −0.108298 | + | 0.404173i | −0.998698 | − | 0.0510049i | \(-0.983758\pi\) |
0.890401 | + | 0.455178i | \(0.150424\pi\) | |||||||
\(788\) | −0.886439 | − | 3.30823i | −0.0315781 | − | 0.117851i | ||||
\(789\) | 13.9293 | − | 26.8435i | 0.495898 | − | 0.955653i | ||||
\(790\) | 3.23880 | + | 1.86992i | 0.115231 | + | 0.0665288i | ||||
\(791\) | −12.0796 | − | 3.23671i | −0.429499 | − | 0.115084i | ||||
\(792\) | 3.30996 | + | 1.53295i | 0.117614 | + | 0.0544712i | ||||
\(793\) | 2.72615 | − | 29.6312i | 0.0968085 | − | 1.05223i | ||||
\(794\) | 16.7144 | − | 9.65008i | 0.593173 | − | 0.342468i | ||||
\(795\) | 4.17270 | − | 1.32164i | 0.147990 | − | 0.0468736i | ||||
\(796\) | −0.767855 | −0.0272159 | ||||||||
\(797\) | −5.94310 | − | 10.2937i | −0.210515 | − | 0.364623i | 0.741361 | − | 0.671107i | \(-0.234181\pi\) |
−0.951876 | + | 0.306484i | \(0.900847\pi\) | |||||||
\(798\) | −1.80938 | − | 0.398653i | −0.0640513 | − | 0.0141122i | ||||
\(799\) | 21.5834 | − | 21.5834i | 0.763567 | − | 0.763567i | ||||
\(800\) | 1.95206 | + | 7.28519i | 0.0690157 | + | 0.257570i | ||||
\(801\) | 34.0105 | + | 5.90549i | 1.20170 | + | 0.208660i | ||||
\(802\) | −9.78127 | + | 16.9417i | −0.345389 | + | 0.598231i | ||||
\(803\) | −0.857328 | + | 1.48494i | −0.0302545 | + | 0.0524023i | ||||
\(804\) | −0.669437 | − | 0.147494i | −0.0236092 | − | 0.00520173i | ||||
\(805\) | −3.82781 | − | 2.20999i | −0.134913 | − | 0.0778919i | ||||
\(806\) | −41.5504 | + | 19.1492i | −1.46355 | + | 0.674502i | ||||
\(807\) | 12.9635 | − | 24.9822i | 0.456336 | − | 0.879414i | ||||
\(808\) | −4.68621 | − | 17.4892i | −0.164860 | − | 0.615267i | ||||
\(809\) | 40.6737 | − | 23.4830i | 1.43001 | − | 0.825618i | 0.432891 | − | 0.901446i | \(-0.357493\pi\) |
0.997121 | + | 0.0758281i | \(0.0241600\pi\) | |||||||
\(810\) | −12.7831 | + | 10.8405i | −0.449151 | + | 0.380895i | ||||
\(811\) | −24.6940 | + | 24.6940i | −0.867125 | + | 0.867125i | −0.992153 | − | 0.125028i | \(-0.960098\pi\) |
0.125028 | + | 0.992153i | \(0.460098\pi\) | |||||||
\(812\) | 2.32253 | + | 2.32253i | 0.0815049 | + | 0.0815049i | ||||
\(813\) | 7.36793 | + | 1.62335i | 0.258404 | + | 0.0569332i | ||||
\(814\) | 2.09530 | − | 0.561433i | 0.0734401 | − | 0.0196782i | ||||
\(815\) | −18.5659 | + | 10.7190i | −0.650335 | + | 0.375471i | ||||
\(816\) | −13.2387 | + | 8.45831i | −0.463448 | + | 0.296100i | ||||
\(817\) | 1.42024 | − | 0.380552i | 0.0496879 | − | 0.0133138i | ||||
\(818\) | −38.2315 | −1.33673 | ||||||||
\(819\) | 7.66280 | − | 7.63423i | 0.267760 | − | 0.266761i | ||||
\(820\) | 4.68778 | 0.163704 | ||||||||
\(821\) | 35.6256 | − | 9.54586i | 1.24334 | − | 0.333153i | 0.423582 | − | 0.905858i | \(-0.360773\pi\) |
0.819762 | + | 0.572705i | \(0.194106\pi\) | |||||||
\(822\) | −28.2301 | − | 14.6488i | −0.984636 | − | 0.510937i | ||||
\(823\) | −26.5058 | + | 15.3032i | −0.923936 | + | 0.533435i | −0.884889 | − | 0.465803i | \(-0.845766\pi\) |
−0.0390472 | + | 0.999237i | \(0.512432\pi\) | |||||||
\(824\) | −36.6347 | + | 9.81623i | −1.27623 | + | 0.341965i | ||||
\(825\) | −1.23589 | + | 1.35228i | −0.0430282 | + | 0.0470802i | ||||
\(826\) | 1.82844 | + | 1.82844i | 0.0636196 | + | 0.0636196i | ||||
\(827\) | 7.03140 | − | 7.03140i | 0.244506 | − | 0.244506i | −0.574205 | − | 0.818711i | \(-0.694689\pi\) |
0.818711 | + | 0.574205i | \(0.194689\pi\) | |||||||
\(828\) | 3.64875 | − | 2.56910i | 0.126803 | − | 0.0892824i | ||||
\(829\) | 26.5723 | − | 15.3415i | 0.922894 | − | 0.532833i | 0.0383368 | − | 0.999265i | \(-0.487794\pi\) |
0.884557 | + | 0.466432i | \(0.154461\pi\) | |||||||
\(830\) | 1.14929 | + | 4.28920i | 0.0398923 | + | 0.148880i | ||||
\(831\) | 26.2676 | − | 1.18122i | 0.911214 | − | 0.0409759i | ||||
\(832\) | 31.8226 | + | 2.92777i | 1.10325 | + | 0.101502i | ||||
\(833\) | −2.90141 | − | 1.67513i | −0.100528 | − | 0.0580399i | ||||
\(834\) | −1.65230 | + | 1.80790i | −0.0572145 | + | 0.0626024i | ||||
\(835\) | 6.22819 | − | 10.7875i | 0.215535 | − | 0.373318i | ||||
\(836\) | −0.0895085 | + | 0.155033i | −0.00309572 | + | 0.00536194i | ||||
\(837\) | −49.8918 | + | 20.8951i | −1.72451 | + | 0.722239i | ||||
\(838\) | 8.36611 | + | 31.2228i | 0.289003 | + | 1.07857i | ||||
\(839\) | −12.4882 | + | 12.4882i | −0.431140 | + | 0.431140i | −0.889016 | − | 0.457876i | \(-0.848610\pi\) |
0.457876 | + | 0.889016i | \(0.348610\pi\) | |||||||
\(840\) | −2.44872 | − | 7.73116i | −0.0844889 | − | 0.266750i | ||||
\(841\) | 5.90453 | + | 10.2269i | 0.203604 | + | 0.352653i | ||||
\(842\) | 30.5451 | 1.05266 | ||||||||
\(843\) | −0.935001 | + | 4.24371i | −0.0322031 | + | 0.146161i | ||||
\(844\) | −7.80756 | + | 4.50770i | −0.268747 | + | 0.155161i | ||||
\(845\) | 19.8004 | − | 1.55376i | 0.681156 | − | 0.0534509i | ||||
\(846\) | 33.1823 | − | 2.99036i | 1.14083 | − | 0.102811i | ||||
\(847\) | 10.4731 | + | 2.80627i | 0.359861 | + | 0.0964245i | ||||
\(848\) | 3.87812 | + | 2.23903i | 0.133175 | + | 0.0768887i | ||||
\(849\) | 0.938979 | − | 0.0422244i | 0.0322257 | − | 0.00144914i | ||||
\(850\) | −2.81771 | − | 10.5158i | −0.0966467 | − | 0.360690i | ||||
\(851\) | 3.35852 | − | 12.5342i | 0.115128 | − | 0.429665i | ||||
\(852\) | −2.97876 | − | 2.72238i | −0.102051 | − | 0.0932674i | ||||
\(853\) | 8.13350 | − | 30.3546i | 0.278486 | − | 1.03932i | −0.674983 | − | 0.737833i | \(-0.735849\pi\) |
0.953469 | − | 0.301490i | \(-0.0974841\pi\) | |||||||
\(854\) | −8.71213 | − | 5.02995i | −0.298123 | − | 0.172121i | ||||
\(855\) | −2.31562 | − | 3.28875i | −0.0791926 | − | 0.112473i | ||||
\(856\) | −1.32993 | + | 4.96336i | −0.0454560 | + | 0.169644i | ||||
\(857\) | −4.39314 | − | 7.60914i | −0.150067 | − | 0.259923i | 0.781185 | − | 0.624300i | \(-0.214616\pi\) |
−0.931252 | + | 0.364376i | \(0.881282\pi\) | |||||||
\(858\) | 1.38607 | + | 2.68338i | 0.0473198 | + | 0.0916090i | ||||
\(859\) | 22.5817 | − | 39.1126i | 0.770476 | − | 1.33450i | −0.166826 | − | 0.985986i | \(-0.553352\pi\) |
0.937302 | − | 0.348518i | \(-0.113315\pi\) | |||||||
\(860\) | 0.930659 | + | 0.930659i | 0.0317352 | + | 0.0317352i | ||||
\(861\) | 10.3258 | − | 0.464337i | 0.351904 | − | 0.0158246i | ||||
\(862\) | − | 44.4171i | − | 1.51285i | ||||||
\(863\) | −30.0905 | − | 30.0905i | −1.02429 | − | 1.02429i | −0.999698 | − | 0.0245943i | \(-0.992171\pi\) |
−0.0245943 | − | 0.999698i | \(-0.507829\pi\) | |||||||
\(864\) | 14.5825 | + | 1.86178i | 0.496107 | + | 0.0633390i | ||||
\(865\) | −21.5418 | + | 5.77210i | −0.732442 | + | 0.196257i | ||||
\(866\) | 3.76794 | + | 1.00962i | 0.128040 | + | 0.0343082i | ||||
\(867\) | 8.43015 | − | 5.38608i | 0.286303 | − | 0.182921i | ||||
\(868\) | − | 5.35228i | − | 0.181668i | ||||||
\(869\) | 0.563388 | − | 0.563388i | 0.0191116 | − | 0.0191116i | ||||
\(870\) | −0.925675 | − | 20.5850i | −0.0313833 | − | 0.697897i | ||||
\(871\) | −1.77441 | − | 2.13400i | −0.0601237 | − | 0.0723077i | ||||
\(872\) | − | 23.0402i | − | 0.780238i | ||||||
\(873\) | −3.94851 | + | 4.73067i | −0.133637 | + | 0.160109i | ||||
\(874\) | −1.54735 | − | 2.68008i | −0.0523397 | − | 0.0906551i | ||||
\(875\) | 11.7118 | 0.395932 | ||||||||
\(876\) | −0.828112 | + | 3.75858i | −0.0279793 | + | 0.126991i | ||||
\(877\) | −36.3441 | − | 9.73838i | −1.22725 | − | 0.328842i | −0.413745 | − | 0.910393i | \(-0.635779\pi\) |
−0.813510 | + | 0.581551i | \(0.802446\pi\) | |||||||
\(878\) | 27.3503 | + | 7.32849i | 0.923028 | + | 0.247325i | ||||
\(879\) | −0.576229 | + | 2.61535i | −0.0194357 | + | 0.0882134i | ||||
\(880\) | 1.64106 | 0.0553200 | ||||||||
\(881\) | −2.64895 | − | 4.58811i | −0.0892453 | − | 0.154577i | 0.817947 | − | 0.575294i | \(-0.195112\pi\) |
−0.907192 | + | 0.420716i | \(0.861779\pi\) | |||||||
\(882\) | −1.25968 | − | 3.43304i | −0.0424157 | − | 0.115596i | ||||
\(883\) | 51.4398i | 1.73109i | 0.500833 | + | 0.865544i | \(0.333027\pi\) | ||||
−0.500833 | + | 0.865544i | \(0.666973\pi\) | |||||||
\(884\) | 6.18471 | + | 0.569010i | 0.208014 | + | 0.0191379i | ||||
\(885\) | 0.252176 | + | 5.60785i | 0.00847682 | + | 0.188506i | ||||
\(886\) | −33.0393 | + | 33.0393i | −1.10998 | + | 1.10998i | ||||
\(887\) | 40.1052i | 1.34660i | 0.739369 | + | 0.673300i | \(0.235124\pi\) | ||||
−0.739369 | + | 0.673300i | \(0.764876\pi\) | |||||||
\(888\) | 20.0633 | − | 12.8186i | 0.673282 | − | 0.430164i | ||||
\(889\) | −0.938589 | − | 0.251494i | −0.0314792 | − | 0.00843484i | ||||
\(890\) | 20.6984 | − | 5.54611i | 0.693811 | − | 0.185906i | ||||
\(891\) | 1.52595 | + | 3.22830i | 0.0511211 | + | 0.108152i | ||||
\(892\) | −6.33548 | − | 6.33548i | −0.212128 | − | 0.212128i | ||||
\(893\) | 7.99525i | 0.267551i | ||||||||
\(894\) | −41.6270 | + | 1.87190i | −1.39221 | + | 0.0626057i | ||||
\(895\) | −6.02743 | − | 6.02743i | −0.201475 | − | 0.201475i | ||||
\(896\) | 2.57276 | − | 4.45615i | 0.0859498 | − | 0.148869i | ||||
\(897\) | 18.0473 | + | 0.845344i | 0.602581 | + | 0.0282252i | ||||
\(898\) | 23.0146 | + | 39.8624i | 0.768006 | + | 1.33022i | ||||
\(899\) | 17.2113 | − | 64.2336i | 0.574030 | − | 2.14231i | ||||
\(900\) | −1.72808 | + | 3.73128i | −0.0576027 | + | 0.124376i | ||||
\(901\) | 4.79911 | + | 2.77077i | 0.159882 | + | 0.0923077i | ||||
\(902\) | −0.746975 | + | 2.78775i | −0.0248715 | + | 0.0928218i | ||||
\(903\) | 2.14216 | + | 1.95779i | 0.0712867 | + | 0.0651513i | ||||
\(904\) | 9.91933 | − | 37.0194i | 0.329912 | − | 1.23125i | ||||
\(905\) | −9.77240 | − | 36.4711i | −0.324846 | − | 1.21234i | ||||
\(906\) | 34.7595 | − | 1.56308i | 1.15481 | − | 0.0519298i | ||||
\(907\) | 18.1365 | + | 10.4711i | 0.602211 | + | 0.347687i | 0.769911 | − | 0.638151i | \(-0.220301\pi\) |
−0.167700 | + | 0.985838i | \(0.553634\pi\) | |||||||
\(908\) | 14.2082 | + | 3.80706i | 0.471514 | + | 0.126342i | ||||
\(909\) | 7.44864 | − | 16.0831i | 0.247056 | − | 0.533444i | ||||
\(910\) | 2.32477 | − | 6.29934i | 0.0770654 | − | 0.208821i | ||||
\(911\) | −3.62758 | + | 2.09439i | −0.120187 | + | 0.0693901i | −0.558888 | − | 0.829243i | \(-0.688772\pi\) |
0.438701 | + | 0.898633i | \(0.355439\pi\) | |||||||
\(912\) | 0.885418 | − | 4.01867i | 0.0293191 | − | 0.133072i | ||||
\(913\) | 0.946023 | 0.0313088 | ||||||||
\(914\) | −14.5108 | − | 25.1335i | −0.479976 | − | 0.831342i | ||||
\(915\) | −6.59429 | − | 20.8196i | −0.218001 | − | 0.688276i | ||||
\(916\) | −8.20284 | + | 8.20284i | −0.271029 | + | 0.271029i | ||||
\(917\) | −2.29640 | − | 8.57029i | −0.0758338 | − | 0.283016i | ||||
\(918\) | −21.0492 | − | 2.68739i | −0.694728 | − | 0.0886972i | ||||
\(919\) | 1.38367 | − | 2.39659i | 0.0456431 | − | 0.0790562i | −0.842301 | − | 0.539007i | \(-0.818800\pi\) |
0.887944 | + | 0.459951i | \(0.152133\pi\) | |||||||
\(920\) | 6.77281 | − | 11.7309i | 0.223293 | − | 0.386755i | ||||
\(921\) | 3.12401 | − | 3.41820i | 0.102939 | − | 0.112633i | ||||
\(922\) | 37.0637 | + | 21.3987i | 1.22063 | + | 0.704729i | ||||
\(923\) | −2.76498 | − | 16.1023i | −0.0910104 | − | 0.530013i | ||||
\(924\) | −0.352972 | + | 0.0158726i | −0.0116119 | + | 0.000522171i | ||||
\(925\) | 3.09476 | + | 11.5498i | 0.101755 | + | 0.379756i | ||||
\(926\) | −29.7845 | + | 17.1961i | −0.978781 | + | 0.565099i | ||||
\(927\) | −33.6894 | − | 15.6027i | −1.10650 | − | 0.512460i | ||||
\(928\) | −12.7798 | + | 12.7798i | −0.419518 | + | 0.419518i | ||||
\(929\) | −11.3237 | − | 11.3237i | −0.371519 | − | 0.371519i | 0.496511 | − | 0.868030i | \(-0.334614\pi\) |
−0.868030 | + | 0.496511i | \(0.834614\pi\) | |||||||
\(930\) | −22.6525 | + | 24.7857i | −0.742803 | + | 0.812755i | ||||
\(931\) | 0.847656 | − | 0.227129i | 0.0277808 | − | 0.00744384i | ||||
\(932\) | 1.63460 | − | 0.943734i | 0.0535430 | − | 0.0309130i | ||||
\(933\) | −22.1664 | − | 11.5024i | −0.725696 | − | 0.376571i | ||||
\(934\) | −38.1982 | + | 10.2352i | −1.24988 | + | 0.334905i | ||||
\(935\) | 2.03078 | 0.0664137 | ||||||||
\(936\) | 23.3961 | + | 23.4837i | 0.764726 | + | 0.767589i | ||||
\(937\) | 25.3004 | 0.826528 | 0.413264 | − | 0.910611i | \(-0.364389\pi\) | ||||
0.413264 | + | 0.910611i | \(0.364389\pi\) | |||||||
\(938\) | −0.906303 | + | 0.242843i | −0.0295918 | + | 0.00792911i | ||||
\(939\) | −47.6711 | + | 30.4574i | −1.55569 | + | 0.993938i | ||||
\(940\) | −6.19798 | + | 3.57841i | −0.202156 | + | 0.116715i | ||||
\(941\) | 19.7081 | − | 5.28078i | 0.642467 | − | 0.172148i | 0.0771463 | − | 0.997020i | \(-0.475419\pi\) |
0.565321 | + | 0.824871i | \(0.308752\pi\) | |||||||
\(942\) | 35.3574 | + | 7.79015i | 1.15201 | + | 0.253817i | ||||
\(943\) | 12.2080 | + | 12.2080i | 0.397547 | + | 0.397547i | ||||
\(944\) | −4.06101 | + | 4.06101i | −0.132175 | + | 0.132175i | ||||
\(945\) | 3.00925 | − | 7.34619i | 0.0978910 | − | 0.238972i | ||||
\(946\) | −0.701744 | + | 0.405152i | −0.0228157 | + | 0.0131726i | ||||
\(947\) | −6.31002 | − | 23.5493i | −0.205048 | − | 0.765250i | −0.989435 | − | 0.144978i | \(-0.953689\pi\) |
0.784387 | − | 0.620272i | \(-0.212978\pi\) | |||||||
\(948\) | 0.823716 | − | 1.58740i | 0.0267530 | − | 0.0515563i | ||||
\(949\) | −11.9814 | + | 9.96250i | −0.388933 | + | 0.323396i | ||||
\(950\) | 2.46961 | + | 1.42583i | 0.0801246 | + | 0.0462600i | ||||
\(951\) | −18.7941 | − | 4.14082i | −0.609439 | − | 0.134275i | ||||
\(952\) | 5.13367 | − | 8.89178i | 0.166383 | − | 0.288184i | ||||
\(953\) | −13.7320 | + | 23.7846i | −0.444824 | + | 0.770458i | −0.998040 | − | 0.0625800i | \(-0.980067\pi\) |
0.553216 | + | 0.833038i | \(0.313400\pi\) | |||||||
\(954\) | 2.08359 | + | 5.67846i | 0.0674587 | + | 0.183847i | ||||
\(955\) | 4.19078 | + | 15.6402i | 0.135611 | + | 0.506105i | ||||
\(956\) | −3.97674 | + | 3.97674i | −0.128617 | + | 0.128617i | ||||
\(957\) | −4.28712 | − | 0.944564i | −0.138583 | − | 0.0305334i | ||||
\(958\) | 2.05775 | + | 3.56413i | 0.0664830 | + | 0.115152i | ||||
\(959\) | 15.0640 | 0.486443 | ||||||||
\(960\) | 22.3594 | − | 7.08198i | 0.721646 | − | 0.228570i | ||||
\(961\) | −66.9981 | + | 38.6814i | −2.16123 | + | 1.24779i | ||||
\(962\) | 19.6301 | + | 1.80603i | 0.632901 | + | 0.0582287i | ||||
\(963\) | −4.11285 | + | 2.89587i | −0.132535 | + | 0.0933182i | ||||
\(964\) | −7.74133 | − | 2.07428i | −0.249331 | − | 0.0668081i | ||||
\(965\) | 12.1267 | + | 7.00134i | 0.390371 | + | 0.225381i | ||||
\(966\) | 2.81331 | − | 5.42157i | 0.0905167 | − | 0.174436i | ||||
\(967\) | −6.27108 | − | 23.4040i | −0.201664 | − | 0.752622i | −0.990440 | − | 0.137941i | \(-0.955952\pi\) |
0.788776 | − | 0.614681i | \(-0.210715\pi\) | |||||||
\(968\) | −8.60019 | + | 32.0964i | −0.276421 | + | 1.03162i | ||||
\(969\) | 1.09569 | − | 4.97304i | 0.0351987 | − | 0.159757i | ||||
\(970\) | −0.990024 | + | 3.69482i | −0.0317878 | + | 0.118634i | ||||
\(971\) | −20.9606 | − | 12.1016i | −0.672657 | − | 0.388359i | 0.124426 | − | 0.992229i | \(-0.460291\pi\) |
−0.797083 | + | 0.603870i | \(0.793625\pi\) | |||||||
\(972\) | 5.45327 | + | 5.87380i | 0.174914 | + | 0.188402i | ||||
\(973\) | 0.300244 | − | 1.12053i | 0.00962538 | − | 0.0359224i | ||||
\(974\) | −9.47007 | − | 16.4027i | −0.303441 | − | 0.525575i | ||||
\(975\) | −14.7915 | + | 7.64039i | −0.473706 | + | 0.244688i | ||||
\(976\) | 11.1716 | − | 19.3498i | 0.357595 | − | 0.619374i | ||||
\(977\) | −3.43321 | − | 3.43321i | −0.109838 | − | 0.109838i | 0.650052 | − | 0.759890i | \(-0.274747\pi\) |
−0.759890 | + | 0.650052i | \(0.774747\pi\) | |||||||
\(978\) | −15.9504 | − | 24.9652i | −0.510038 | − | 0.798299i | ||||
\(979\) | − | 4.56522i | − | 0.145905i | ||||||
\(980\) | 0.555454 | + | 0.555454i | 0.0177433 | + | 0.0177433i | ||||
\(981\) | 14.4524 | − | 17.3153i | 0.461431 | − | 0.552835i | ||||
\(982\) | −9.03006 | + | 2.41960i | −0.288161 | + | 0.0772124i | ||||
\(983\) | −39.9973 | − | 10.7172i | −1.27571 | − | 0.341827i | −0.443497 | − | 0.896276i | \(-0.646262\pi\) |
−0.832218 | + | 0.554449i | \(0.812929\pi\) | |||||||
\(984\) | 1.42302 | + | 31.6450i | 0.0453644 | + | 1.00880i | ||||
\(985\) | − | 10.1770i | − | 0.324265i | ||||||
\(986\) | 18.4471 | − | 18.4471i | 0.587476 | − | 0.587476i | ||||
\(987\) | −13.2979 | + | 8.49614i | −0.423278 | + | 0.270435i | ||||
\(988\) | −1.25091 | + | 1.04012i | −0.0397966 | + | 0.0330908i | ||||
\(989\) | 4.84727i | 0.154134i | ||||||||
\(990\) | 1.70174 | + | 1.42038i | 0.0540850 | + | 0.0451427i | ||||
\(991\) | −0.0339765 | − | 0.0588490i | −0.00107930 | − | 0.00186940i | 0.865485 | − | 0.500934i | \(-0.167010\pi\) |
−0.866565 | + | 0.499065i | \(0.833677\pi\) | |||||||
\(992\) | 29.4511 | 0.935074 | ||||||||
\(993\) | −17.1283 | − | 15.6541i | −0.543549 | − | 0.496768i | ||||
\(994\) | −5.33526 | − | 1.42958i | −0.169224 | − | 0.0453435i | ||||
\(995\) | −2.20388 | − | 0.590529i | −0.0698678 | − | 0.0187210i | ||||
\(996\) | 2.02433 | − | 0.641174i | 0.0641434 | − | 0.0203164i | ||||
\(997\) | 60.8035 | 1.92567 | 0.962833 | − | 0.270097i | \(-0.0870559\pi\) | ||||
0.962833 | + | 0.270097i | \(0.0870559\pi\) | |||||||
\(998\) | 6.27889 | + | 10.8754i | 0.198755 | + | 0.344254i | ||||
\(999\) | 23.1189 | + | 2.95163i | 0.731449 | + | 0.0933855i |
(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 | 819.2.fy.a.743.58 | yes | 336 | |
9.2 | odd | 6 | 819.2.ew.a.470.58 | yes | 336 | ||
13.7 | odd | 12 | 819.2.ew.a.176.58 | ✓ | 336 | ||
117.20 | even | 12 | inner | 819.2.fy.a.722.58 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.58 | ✓ | 336 | 13.7 | odd | 12 | ||
819.2.ew.a.470.58 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.722.58 | yes | 336 | 117.20 | even | 12 | inner | |
819.2.fy.a.743.58 | yes | 336 | 1.1 | even | 1 | trivial |