Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 177.19 |
Dual form | 177.2.e.b.28.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{19}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.715981 | + | 1.35048i | −0.506275 | + | 0.954937i | 0.490245 | + | 0.871585i | \(0.336907\pi\) |
−0.996520 | + | 0.0833518i | \(0.973437\pi\) | |||||||
\(3\) | 0.725995 | − | 0.687699i | 0.419154 | − | 0.397043i | ||||
\(4\) | −0.188804 | − | 0.278465i | −0.0944021 | − | 0.139233i | ||||
\(5\) | −3.13782 | + | 0.690687i | −1.40328 | + | 0.308885i | −0.851171 | − | 0.524889i | \(-0.824107\pi\) |
−0.552106 | + | 0.833774i | \(0.686176\pi\) | |||||||
\(6\) | 0.408928 | + | 1.47283i | 0.166944 | + | 0.601278i | ||||
\(7\) | −2.11659 | + | 1.60899i | −0.799995 | + | 0.608141i | −0.923235 | − | 0.384236i | \(-0.874465\pi\) |
0.123239 | + | 0.992377i | \(0.460672\pi\) | |||||||
\(8\) | −2.52792 | + | 0.274928i | −0.893754 | + | 0.0972016i | ||||
\(9\) | 0.0541389 | − | 0.998533i | 0.0180463 | − | 0.332844i | ||||
\(10\) | 1.31386 | − | 4.73210i | 0.415479 | − | 1.49642i | ||||
\(11\) | 2.12945 | + | 5.34452i | 0.642054 | + | 1.61143i | 0.783431 | + | 0.621479i | \(0.213468\pi\) |
−0.141377 | + | 0.989956i | \(0.545153\pi\) | |||||||
\(12\) | −0.328571 | − | 0.0723240i | −0.0948504 | − | 0.0208781i | ||||
\(13\) | 0.173941 | + | 3.20816i | 0.0482426 | + | 0.889783i | 0.918068 | + | 0.396423i | \(0.129749\pi\) |
−0.869825 | + | 0.493360i | \(0.835769\pi\) | |||||||
\(14\) | −0.657476 | − | 4.01043i | −0.175718 | − | 1.07183i | ||||
\(15\) | −1.80306 | + | 2.65931i | −0.465548 | + | 0.686632i | ||||
\(16\) | 1.68771 | − | 4.23584i | 0.421928 | − | 1.05896i | ||||
\(17\) | −1.99184 | − | 1.51416i | −0.483092 | − | 0.367237i | 0.335100 | − | 0.942183i | \(-0.391230\pi\) |
−0.818192 | + | 0.574946i | \(0.805023\pi\) | |||||||
\(18\) | 1.30974 | + | 0.788045i | 0.308709 | + | 0.185744i | ||||
\(19\) | 5.97573 | − | 2.01346i | 1.37093 | − | 0.461919i | 0.464984 | − | 0.885319i | \(-0.346060\pi\) |
0.905943 | + | 0.423400i | \(0.139164\pi\) | |||||||
\(20\) | 0.784766 | + | 0.743370i | 0.175479 | + | 0.166223i | ||||
\(21\) | −0.430133 | + | 2.62370i | −0.0938627 | + | 0.572537i | ||||
\(22\) | −8.74234 | − | 0.950787i | −1.86387 | − | 0.202709i | ||||
\(23\) | 0.758390 | − | 0.456308i | 0.158135 | − | 0.0951468i | −0.434287 | − | 0.900775i | \(-0.642999\pi\) |
0.592422 | + | 0.805628i | \(0.298172\pi\) | |||||||
\(24\) | −1.64619 | + | 1.93804i | −0.336027 | + | 0.395602i | ||||
\(25\) | 4.83101 | − | 2.23506i | 0.966201 | − | 0.447012i | ||||
\(26\) | −4.45711 | − | 2.06208i | −0.874111 | − | 0.404407i | ||||
\(27\) | −0.647386 | − | 0.762162i | −0.124590 | − | 0.146678i | ||||
\(28\) | 0.847668 | + | 0.285613i | 0.160194 | + | 0.0539757i | ||||
\(29\) | −1.90564 | − | 3.59442i | −0.353868 | − | 0.667466i | 0.641122 | − | 0.767439i | \(-0.278469\pi\) |
−0.994990 | + | 0.0999726i | \(0.968124\pi\) | |||||||
\(30\) | −2.30041 | − | 4.33902i | −0.419995 | − | 0.792194i | ||||
\(31\) | −4.32032 | − | 1.45569i | −0.775953 | − | 0.261449i | −0.0966614 | − | 0.995317i | \(-0.530816\pi\) |
−0.679292 | + | 0.733868i | \(0.737713\pi\) | |||||||
\(32\) | 1.21969 | + | 1.43593i | 0.215612 | + | 0.253838i | ||||
\(33\) | 5.22140 | + | 2.41568i | 0.908929 | + | 0.420515i | ||||
\(34\) | 3.47096 | − | 1.60584i | 0.595266 | − | 0.275399i | ||||
\(35\) | 5.53017 | − | 6.51062i | 0.934770 | − | 1.10050i | ||||
\(36\) | −0.288278 | + | 0.173451i | −0.0480464 | + | 0.0289086i | ||||
\(37\) | 2.35133 | + | 0.255722i | 0.386556 | + | 0.0420405i | 0.299334 | − | 0.954148i | \(-0.403236\pi\) |
0.0872221 | + | 0.996189i | \(0.472201\pi\) | |||||||
\(38\) | −1.55937 | + | 9.51173i | −0.252963 | + | 1.54301i | ||||
\(39\) | 2.33253 | + | 2.20949i | 0.373504 | + | 0.353802i | ||||
\(40\) | 7.74227 | − | 2.60867i | 1.22416 | − | 0.412468i | ||||
\(41\) | 10.8057 | + | 6.50154i | 1.68756 | + | 1.01537i | 0.933509 | + | 0.358553i | \(0.116730\pi\) |
0.754050 | + | 0.656817i | \(0.228098\pi\) | |||||||
\(42\) | −3.23529 | − | 2.45941i | −0.499216 | − | 0.379494i | ||||
\(43\) | −2.62049 | + | 6.57694i | −0.399621 | + | 1.00297i | 0.582179 | + | 0.813060i | \(0.302200\pi\) |
−0.981801 | + | 0.189914i | \(0.939179\pi\) | |||||||
\(44\) | 1.08621 | − | 1.60205i | 0.163753 | − | 0.241518i | ||||
\(45\) | 0.519796 | + | 3.17061i | 0.0774866 | + | 0.472647i | ||||
\(46\) | 0.0732438 | + | 1.35090i | 0.0107992 | + | 0.199180i | ||||
\(47\) | 5.95006 | + | 1.30971i | 0.867906 | + | 0.191041i | 0.626536 | − | 0.779393i | \(-0.284472\pi\) |
0.241370 | + | 0.970433i | \(0.422403\pi\) | |||||||
\(48\) | −1.68771 | − | 4.23584i | −0.243600 | − | 0.611391i | ||||
\(49\) | 0.0184038 | − | 0.0662845i | 0.00262911 | − | 0.00946921i | ||||
\(50\) | −0.440496 | + | 8.12446i | −0.0622955 | + | 1.14897i | ||||
\(51\) | −2.48735 | + | 0.270516i | −0.348299 | + | 0.0378798i | ||||
\(52\) | 0.860520 | − | 0.654150i | 0.119333 | − | 0.0907143i | ||||
\(53\) | 0.313289 | + | 1.12836i | 0.0430336 | + | 0.154993i | 0.981945 | − | 0.189165i | \(-0.0605782\pi\) |
−0.938912 | + | 0.344158i | \(0.888164\pi\) | |||||||
\(54\) | 1.49280 | − | 0.328591i | 0.203145 | − | 0.0447156i | ||||
\(55\) | −10.3732 | − | 15.2994i | −1.39873 | − | 2.06297i | ||||
\(56\) | 4.90821 | − | 4.64930i | 0.655887 | − | 0.621289i | ||||
\(57\) | 2.95370 | − | 5.57127i | 0.391227 | − | 0.737932i | ||||
\(58\) | 6.21861 | 0.816543 | ||||||||
\(59\) | 6.29895 | + | 4.39582i | 0.820053 | + | 0.572287i | ||||
\(60\) | 1.08095 | 0.139550 | ||||||||
\(61\) | −2.55277 | + | 4.81504i | −0.326849 | + | 0.616503i | −0.991419 | − | 0.130723i | \(-0.958270\pi\) |
0.664570 | + | 0.747226i | \(0.268615\pi\) | |||||||
\(62\) | 5.05915 | − | 4.79229i | 0.642513 | − | 0.608621i | ||||
\(63\) | 1.49204 | + | 2.20059i | 0.187979 | + | 0.277249i | ||||
\(64\) | 6.09370 | − | 1.34132i | 0.761712 | − | 0.167665i | ||||
\(65\) | −2.76163 | − | 9.94650i | −0.342538 | − | 1.23371i | ||||
\(66\) | −7.00076 | + | 5.32184i | −0.861734 | + | 0.655073i | ||||
\(67\) | −10.5176 | + | 1.14386i | −1.28493 | + | 0.139744i | −0.724972 | − | 0.688779i | \(-0.758147\pi\) |
−0.559955 | + | 0.828523i | \(0.689182\pi\) | |||||||
\(68\) | −0.0455726 | + | 0.840537i | −0.00552649 | + | 0.101930i | ||||
\(69\) | 0.236785 | − | 0.852822i | 0.0285056 | − | 0.102668i | ||||
\(70\) | 4.83299 | + | 12.1299i | 0.577653 | + | 1.44980i | ||||
\(71\) | −15.0332 | − | 3.30905i | −1.78411 | − | 0.392713i | −0.804554 | − | 0.593880i | \(-0.797596\pi\) |
−0.979557 | + | 0.201167i | \(0.935527\pi\) | |||||||
\(72\) | 0.137666 | + | 2.53909i | 0.0162241 | + | 0.299235i | ||||
\(73\) | 0.660634 | + | 4.02969i | 0.0773214 | + | 0.471640i | 0.996896 | + | 0.0787250i | \(0.0250849\pi\) |
−0.919575 | + | 0.392915i | \(0.871467\pi\) | |||||||
\(74\) | −2.02886 | + | 2.99234i | −0.235850 | + | 0.347852i | ||||
\(75\) | 1.97024 | − | 4.94493i | 0.227504 | − | 0.570991i | ||||
\(76\) | −1.68892 | − | 1.28388i | −0.193732 | − | 0.147272i | ||||
\(77\) | −13.1065 | − | 7.88589i | −1.49362 | − | 0.898681i | ||||
\(78\) | −4.65393 | + | 1.56809i | −0.526954 | + | 0.177551i | ||||
\(79\) | 3.08523 | + | 2.92248i | 0.347115 | + | 0.328805i | 0.841317 | − | 0.540542i | \(-0.181781\pi\) |
−0.494201 | + | 0.869347i | \(0.664539\pi\) | |||||||
\(80\) | −2.37010 | + | 14.4570i | −0.264986 | + | 1.61634i | ||||
\(81\) | −0.994138 | − | 0.108119i | −0.110460 | − | 0.0120132i | ||||
\(82\) | −16.5169 | + | 9.93788i | −1.82398 | + | 1.09745i | ||||
\(83\) | 9.62052 | − | 11.3262i | 1.05599 | − | 1.24321i | 0.0869734 | − | 0.996211i | \(-0.472280\pi\) |
0.969016 | − | 0.246997i | \(-0.0794436\pi\) | |||||||
\(84\) | 0.811819 | − | 0.375587i | 0.0885767 | − | 0.0409799i | ||||
\(85\) | 7.29585 | + | 3.37542i | 0.791346 | + | 0.366116i | ||||
\(86\) | −7.00583 | − | 8.24790i | −0.755458 | − | 0.889394i | ||||
\(87\) | −3.85536 | − | 1.29902i | −0.413338 | − | 0.139270i | ||||
\(88\) | −6.85244 | − | 12.9251i | −0.730472 | − | 1.37782i | ||||
\(89\) | −1.38141 | − | 2.60561i | −0.146429 | − | 0.276194i | 0.799438 | − | 0.600748i | \(-0.205131\pi\) |
−0.945867 | + | 0.324554i | \(0.894786\pi\) | |||||||
\(90\) | −4.65403 | − | 1.56812i | −0.490578 | − | 0.165295i | ||||
\(91\) | −5.53005 | − | 6.51048i | −0.579707 | − | 0.682484i | ||||
\(92\) | −0.270253 | − | 0.125032i | −0.0281758 | − | 0.0130355i | ||||
\(93\) | −4.13761 | + | 1.91426i | −0.429050 | + | 0.198500i | ||||
\(94\) | −6.02887 | + | 7.09774i | −0.621831 | + | 0.732076i | ||||
\(95\) | −17.3601 | + | 10.4452i | −1.78111 | + | 1.07166i | ||||
\(96\) | 1.87297 | + | 0.203698i | 0.191159 | + | 0.0207898i | ||||
\(97\) | −1.59285 | + | 9.71594i | −0.161729 | + | 0.986504i | 0.773845 | + | 0.633375i | \(0.218331\pi\) |
−0.935574 | + | 0.353129i | \(0.885118\pi\) | |||||||
\(98\) | 0.0763394 | + | 0.0723125i | 0.00771144 | + | 0.00730467i | ||||
\(99\) | 5.45197 | − | 1.83698i | 0.547944 | − | 0.184624i | ||||
\(100\) | −1.53450 | − | 0.923279i | −0.153450 | − | 0.0923279i | ||||
\(101\) | 6.53457 | + | 4.96745i | 0.650214 | + | 0.494280i | 0.877518 | − | 0.479544i | \(-0.159198\pi\) |
−0.227304 | + | 0.973824i | \(0.572991\pi\) | |||||||
\(102\) | 1.41557 | − | 3.55281i | 0.140162 | − | 0.351781i | ||||
\(103\) | 6.36057 | − | 9.38113i | 0.626725 | − | 0.924350i | −0.373269 | − | 0.927723i | \(-0.621763\pi\) |
0.999994 | + | 0.00337270i | \(0.00107357\pi\) | |||||||
\(104\) | −1.32172 | − | 8.06214i | −0.129605 | − | 0.790558i | ||||
\(105\) | −0.462471 | − | 8.52978i | −0.0451326 | − | 0.832421i | ||||
\(106\) | −1.74815 | − | 0.384797i | −0.169795 | − | 0.0373747i | ||||
\(107\) | 2.13579 | + | 5.36043i | 0.206475 | + | 0.518212i | 0.995348 | − | 0.0963433i | \(-0.0307147\pi\) |
−0.788874 | + | 0.614556i | \(0.789335\pi\) | |||||||
\(108\) | −0.0900064 | + | 0.324174i | −0.00866087 | + | 0.0311936i | ||||
\(109\) | −0.219489 | + | 4.04823i | −0.0210232 | + | 0.387750i | 0.969020 | + | 0.246984i | \(0.0794394\pi\) |
−0.990043 | + | 0.140766i | \(0.955043\pi\) | |||||||
\(110\) | 28.0886 | − | 3.05482i | 2.67815 | − | 0.291266i | ||||
\(111\) | 1.88291 | − | 1.43135i | 0.178718 | − | 0.135858i | ||||
\(112\) | 3.24323 | + | 11.6810i | 0.306456 | + | 1.10375i | ||||
\(113\) | 8.11910 | − | 1.78715i | 0.763780 | − | 0.168121i | 0.184036 | − | 0.982919i | \(-0.441084\pi\) |
0.579744 | + | 0.814799i | \(0.303153\pi\) | |||||||
\(114\) | 5.40912 | + | 7.97785i | 0.506610 | + | 0.747194i | ||||
\(115\) | −2.06453 | + | 1.95562i | −0.192518 | + | 0.182363i | ||||
\(116\) | −0.641128 | + | 1.20929i | −0.0595272 | + | 0.112280i | ||||
\(117\) | 3.21287 | 0.297030 | ||||||||
\(118\) | −10.4464 | + | 5.35931i | −0.961671 | + | 0.493364i | ||||
\(119\) | 6.65217 | 0.609803 | ||||||||
\(120\) | 3.82687 | − | 7.21824i | 0.349344 | − | 0.658932i | ||||
\(121\) | −16.0434 | + | 15.1971i | −1.45849 | + | 1.38156i | ||||
\(122\) | −4.67490 | − | 6.89496i | −0.423245 | − | 0.624240i | ||||
\(123\) | 12.3160 | − | 2.71095i | 1.11049 | − | 0.244438i | ||||
\(124\) | 0.410337 | + | 1.47790i | 0.0368493 | + | 0.132719i | ||||
\(125\) | −0.826122 | + | 0.628002i | −0.0738906 | + | 0.0561702i | ||||
\(126\) | −4.04014 | + | 0.439392i | −0.359924 | + | 0.0391441i | ||||
\(127\) | 0.308049 | − | 5.68164i | 0.0273350 | − | 0.504164i | −0.952523 | − | 0.304467i | \(-0.901522\pi\) |
0.979858 | − | 0.199697i | \(-0.0639956\pi\) | |||||||
\(128\) | −3.55959 | + | 12.8205i | −0.314626 | + | 1.13318i | ||||
\(129\) | 2.62049 | + | 6.57694i | 0.230721 | + | 0.579067i | ||||
\(130\) | 15.4099 | + | 3.39197i | 1.35153 | + | 0.297495i | ||||
\(131\) | −0.723818 | − | 13.3500i | −0.0632402 | − | 1.16640i | −0.842144 | − | 0.539253i | \(-0.818706\pi\) |
0.778903 | − | 0.627144i | \(-0.215776\pi\) | |||||||
\(132\) | −0.313140 | − | 1.91007i | −0.0272553 | − | 0.166250i | ||||
\(133\) | −9.40853 | + | 13.8765i | −0.815823 | + | 1.20325i | ||||
\(134\) | 5.98563 | − | 15.0228i | 0.517080 | − | 1.29777i | ||||
\(135\) | 2.55780 | + | 1.94439i | 0.220140 | + | 0.167346i | ||||
\(136\) | 5.45149 | + | 3.28005i | 0.467461 | + | 0.281262i | ||||
\(137\) | −19.0293 | + | 6.41173i | −1.62578 | + | 0.547791i | −0.977011 | − | 0.213190i | \(-0.931615\pi\) |
−0.648774 | + | 0.760981i | \(0.724718\pi\) | |||||||
\(138\) | 0.982189 | + | 0.930379i | 0.0836095 | + | 0.0791991i | ||||
\(139\) | 2.56916 | − | 15.6712i | 0.217914 | − | 1.32921i | −0.620512 | − | 0.784197i | \(-0.713075\pi\) |
0.838425 | − | 0.545017i | \(-0.183477\pi\) | |||||||
\(140\) | −2.85710 | − | 0.310728i | −0.241469 | − | 0.0262614i | ||||
\(141\) | 5.22040 | − | 3.14101i | 0.439637 | − | 0.264521i | ||||
\(142\) | 15.2323 | − | 17.9329i | 1.27827 | − | 1.50489i | ||||
\(143\) | −16.7757 | + | 7.76126i | −1.40285 | + | 0.649029i | ||||
\(144\) | −4.13826 | − | 1.91456i | −0.344855 | − | 0.159547i | ||||
\(145\) | 8.46218 | + | 9.96244i | 0.702745 | + | 0.827336i | ||||
\(146\) | −5.91504 | − | 1.99301i | −0.489532 | − | 0.164942i | ||||
\(147\) | −0.0322227 | − | 0.0607785i | −0.00265769 | − | 0.00501293i | ||||
\(148\) | −0.372731 | − | 0.703045i | −0.0306383 | − | 0.0577899i | ||||
\(149\) | 9.11172 | + | 3.07010i | 0.746461 | + | 0.251512i | 0.666725 | − | 0.745304i | \(-0.267696\pi\) |
0.0797365 | + | 0.996816i | \(0.474592\pi\) | |||||||
\(150\) | 5.26739 | + | 6.20125i | 0.430081 | + | 0.506330i | ||||
\(151\) | 11.6744 | + | 5.40115i | 0.950048 | + | 0.439539i | 0.832806 | − | 0.553564i | \(-0.186733\pi\) |
0.117242 | + | 0.993103i | \(0.462595\pi\) | |||||||
\(152\) | −14.5526 | + | 6.73275i | −1.18037 | + | 0.546098i | ||||
\(153\) | −1.61977 | + | 1.90694i | −0.130951 | + | 0.154167i | ||||
\(154\) | 20.0338 | − | 12.0539i | 1.61437 | − | 0.971332i | ||||
\(155\) | 14.5618 | + | 1.58370i | 1.16963 | + | 0.127205i | ||||
\(156\) | 0.174875 | − | 1.06669i | 0.0140012 | − | 0.0854035i | ||||
\(157\) | 9.01363 | + | 8.53816i | 0.719366 | + | 0.681420i | 0.957050 | − | 0.289923i | \(-0.0936296\pi\) |
−0.237684 | + | 0.971343i | \(0.576388\pi\) | |||||||
\(158\) | −6.15574 | + | 2.07411i | −0.489724 | + | 0.165007i | ||||
\(159\) | 1.00342 | + | 0.603739i | 0.0795766 | + | 0.0478796i | ||||
\(160\) | −4.81893 | − | 3.66326i | −0.380970 | − | 0.289606i | ||||
\(161\) | −0.871005 | + | 2.18606i | −0.0686448 | + | 0.172285i | ||||
\(162\) | 0.857797 | − | 1.26516i | 0.0673949 | − | 0.0994001i | ||||
\(163\) | −3.66725 | − | 22.3693i | −0.287241 | − | 1.75210i | −0.597897 | − | 0.801573i | \(-0.703997\pi\) |
0.310656 | − | 0.950523i | \(-0.399451\pi\) | |||||||
\(164\) | −0.229697 | − | 4.23652i | −0.0179363 | − | 0.330816i | ||||
\(165\) | −18.0523 | − | 3.97361i | −1.40537 | − | 0.309345i | ||||
\(166\) | 8.40768 | + | 21.1017i | 0.652562 | + | 1.63781i | ||||
\(167\) | 0.875147 | − | 3.15199i | 0.0677209 | − | 0.243909i | −0.921941 | − | 0.387331i | \(-0.873397\pi\) |
0.989662 | + | 0.143423i | \(0.0458108\pi\) | |||||||
\(168\) | 0.366015 | − | 6.75074i | 0.0282386 | − | 0.520831i | ||||
\(169\) | 2.66176 | − | 0.289484i | 0.204751 | − | 0.0222680i | ||||
\(170\) | −9.78214 | + | 7.43619i | −0.750256 | + | 0.570330i | ||||
\(171\) | −1.68699 | − | 6.07597i | −0.129007 | − | 0.464641i | ||||
\(172\) | 2.32621 | − | 0.512037i | 0.177372 | − | 0.0390425i | ||||
\(173\) | −5.77359 | − | 8.51542i | −0.438958 | − | 0.647415i | 0.542284 | − | 0.840195i | \(-0.317560\pi\) |
−0.981242 | + | 0.192780i | \(0.938249\pi\) | |||||||
\(174\) | 4.51468 | − | 4.27653i | 0.342257 | − | 0.324203i | ||||
\(175\) | −6.62907 | + | 12.5037i | −0.501110 | + | 0.945194i | ||||
\(176\) | 26.2325 | 1.97735 | ||||||||
\(177\) | 7.59601 | − | 1.14044i | 0.570951 | − | 0.0857207i | ||||
\(178\) | 4.50789 | 0.337881 | ||||||||
\(179\) | 5.82632 | − | 10.9896i | 0.435480 | − | 0.821402i | −0.564512 | − | 0.825425i | \(-0.690936\pi\) |
0.999992 | + | 0.00402296i | \(0.00128055\pi\) | |||||||
\(180\) | 0.784766 | − | 0.743370i | 0.0584930 | − | 0.0554075i | ||||
\(181\) | −5.17090 | − | 7.62651i | −0.384350 | − | 0.566874i | 0.585471 | − | 0.810694i | \(-0.300910\pi\) |
−0.969821 | + | 0.243820i | \(0.921599\pi\) | |||||||
\(182\) | 12.7517 | − | 2.80687i | 0.945220 | − | 0.208059i | ||||
\(183\) | 1.45800 | + | 5.25124i | 0.107778 | + | 0.388183i | ||||
\(184\) | −1.79170 | + | 1.36201i | −0.132086 | + | 0.100409i | ||||
\(185\) | −7.55468 | + | 0.821621i | −0.555431 | + | 0.0604068i | ||||
\(186\) | 0.377271 | − | 6.95836i | 0.0276629 | − | 0.510211i | ||||
\(187\) | 3.85092 | − | 13.8698i | 0.281607 | − | 1.01426i | ||||
\(188\) | −0.758688 | − | 1.90416i | −0.0553330 | − | 0.138875i | ||||
\(189\) | 2.59656 | + | 0.571546i | 0.188872 | + | 0.0415739i | ||||
\(190\) | −1.67660 | − | 30.9232i | −0.121634 | − | 2.24340i | ||||
\(191\) | 0.935224 | + | 5.70462i | 0.0676705 | + | 0.412771i | 0.998839 | + | 0.0481815i | \(0.0153426\pi\) |
−0.931168 | + | 0.364590i | \(0.881209\pi\) | |||||||
\(192\) | 3.50157 | − | 5.16443i | 0.252704 | − | 0.372710i | ||||
\(193\) | −1.18695 | + | 2.97903i | −0.0854387 | + | 0.214435i | −0.965488 | − | 0.260447i | \(-0.916130\pi\) |
0.880049 | + | 0.474882i | \(0.157509\pi\) | |||||||
\(194\) | −11.9808 | − | 9.10755i | −0.860169 | − | 0.653884i | ||||
\(195\) | −8.84513 | − | 5.32194i | −0.633413 | − | 0.381112i | ||||
\(196\) | −0.0219326 | + | 0.00738997i | −0.00156662 | + | 0.000527855i | ||||
\(197\) | −2.22892 | − | 2.11135i | −0.158804 | − | 0.150427i | 0.604172 | − | 0.796854i | \(-0.293504\pi\) |
−0.762976 | + | 0.646427i | \(0.776263\pi\) | |||||||
\(198\) | −1.42269 | + | 8.67805i | −0.101106 | + | 0.616722i | ||||
\(199\) | −20.9806 | − | 2.28178i | −1.48728 | − | 0.161751i | −0.671883 | − | 0.740657i | \(-0.734514\pi\) |
−0.815394 | + | 0.578906i | \(0.803480\pi\) | |||||||
\(200\) | −11.5979 | + | 6.97823i | −0.820096 | + | 0.493435i | ||||
\(201\) | −6.84909 | + | 8.06337i | −0.483097 | + | 0.568746i | ||||
\(202\) | −11.3871 | + | 5.26823i | −0.801193 | + | 0.370672i | ||||
\(203\) | 9.81683 | + | 4.54175i | 0.689006 | + | 0.318768i | ||||
\(204\) | 0.544951 | + | 0.641566i | 0.0381542 | + | 0.0449186i | ||||
\(205\) | −38.3968 | − | 12.9374i | −2.68175 | − | 0.903585i | ||||
\(206\) | 8.11502 | + | 15.3066i | 0.565401 | + | 1.06646i | ||||
\(207\) | −0.414581 | − | 0.781982i | −0.0288153 | − | 0.0543515i | ||||
\(208\) | 13.8828 | + | 4.67766i | 0.962600 | + | 0.324338i | ||||
\(209\) | 23.4860 | + | 27.6499i | 1.62456 | + | 1.91258i | ||||
\(210\) | 11.8505 | + | 5.48260i | 0.817759 | + | 0.378336i | ||||
\(211\) | 1.53907 | − | 0.712051i | 0.105954 | − | 0.0490196i | −0.366196 | − | 0.930538i | \(-0.619340\pi\) |
0.472150 | + | 0.881518i | \(0.343478\pi\) | |||||||
\(212\) | 0.255060 | − | 0.300280i | 0.0175176 | − | 0.0206233i | ||||
\(213\) | −13.1897 | + | 7.93596i | −0.903741 | + | 0.543763i | ||||
\(214\) | −8.76836 | − | 0.953617i | −0.599393 | − | 0.0651879i | ||||
\(215\) | 3.68003 | − | 22.4472i | 0.250976 | − | 1.53089i | ||||
\(216\) | 1.84608 | + | 1.74870i | 0.125610 | + | 0.118984i | ||||
\(217\) | 11.4865 | − | 3.87026i | 0.779757 | − | 0.262731i | ||||
\(218\) | −5.30992 | − | 3.19487i | −0.359633 | − | 0.216384i | ||||
\(219\) | 3.25083 | + | 2.47122i | 0.219671 | + | 0.166990i | ||||
\(220\) | −2.30184 | + | 5.77717i | −0.155190 | + | 0.389497i | ||||
\(221\) | 4.51119 | − | 6.65351i | 0.303456 | − | 0.447564i | ||||
\(222\) | 0.584890 | + | 3.56767i | 0.0392552 | + | 0.239446i | ||||
\(223\) | 0.457604 | + | 8.44000i | 0.0306434 | + | 0.565184i | 0.973033 | + | 0.230667i | \(0.0740906\pi\) |
−0.942389 | + | 0.334518i | \(0.891427\pi\) | |||||||
\(224\) | −4.89196 | − | 1.07680i | −0.326858 | − | 0.0719469i | ||||
\(225\) | −1.97024 | − | 4.94493i | −0.131349 | − | 0.329662i | ||||
\(226\) | −3.39961 | + | 12.2443i | −0.226139 | + | 0.814477i | ||||
\(227\) | −0.114495 | + | 2.11173i | −0.00759927 | + | 0.140160i | 0.992272 | + | 0.124086i | \(0.0395997\pi\) |
−0.999871 | + | 0.0160747i | \(0.994883\pi\) | |||||||
\(228\) | −2.10907 | + | 0.229376i | −0.139677 | + | 0.0151908i | ||||
\(229\) | 18.7513 | − | 14.2543i | 1.23912 | − | 0.941954i | 0.239537 | − | 0.970887i | \(-0.423004\pi\) |
0.999581 | + | 0.0289335i | \(0.00921111\pi\) | |||||||
\(230\) | −1.16288 | − | 4.18830i | −0.0766778 | − | 0.276169i | ||||
\(231\) | −14.9384 | + | 3.28818i | −0.982871 | + | 0.216346i | ||||
\(232\) | 5.80550 | + | 8.56248i | 0.381150 | + | 0.562154i | ||||
\(233\) | −4.92744 | + | 4.66752i | −0.322807 | + | 0.305779i | −0.831892 | − | 0.554937i | \(-0.812742\pi\) |
0.509085 | + | 0.860716i | \(0.329984\pi\) | |||||||
\(234\) | −2.30036 | + | 4.33893i | −0.150379 | + | 0.283645i | ||||
\(235\) | −19.5748 | −1.27692 | ||||||||
\(236\) | 0.0348150 | − | 2.58399i | 0.00226627 | − | 0.168203i | ||||
\(237\) | 4.24965 | 0.276045 | ||||||||
\(238\) | −4.76283 | + | 8.98364i | −0.308728 | + | 0.582323i | ||||
\(239\) | −6.96309 | + | 6.59579i | −0.450405 | + | 0.426646i | −0.878979 | − | 0.476860i | \(-0.841775\pi\) |
0.428574 | + | 0.903507i | \(0.359016\pi\) | |||||||
\(240\) | 8.22139 | + | 12.1256i | 0.530688 | + | 0.782706i | ||||
\(241\) | 7.24607 | − | 1.59498i | 0.466760 | − | 0.102742i | 0.0246380 | − | 0.999696i | \(-0.492157\pi\) |
0.442122 | + | 0.896955i | \(0.354226\pi\) | |||||||
\(242\) | −9.03670 | − | 32.5472i | −0.580901 | − | 2.09222i | ||||
\(243\) | −0.796093 | + | 0.605174i | −0.0510694 | + | 0.0388219i | ||||
\(244\) | 1.82280 | − | 0.198241i | 0.116693 | − | 0.0126911i | ||||
\(245\) | −0.0119660 | + | 0.220700i | −0.000764481 | + | 0.0141000i | ||||
\(246\) | −5.15691 | + | 18.5735i | −0.328792 | + | 1.18420i | ||||
\(247\) | 7.49892 | + | 18.8209i | 0.477145 | + | 1.19754i | ||||
\(248\) | 11.3216 | + | 2.49208i | 0.718924 | + | 0.158247i | ||||
\(249\) | −0.804535 | − | 14.8388i | −0.0509853 | − | 0.940369i | ||||
\(250\) | −0.256618 | − | 1.56530i | −0.0162300 | − | 0.0989985i | ||||
\(251\) | 5.31032 | − | 7.83213i | 0.335184 | − | 0.494360i | −0.622326 | − | 0.782758i | \(-0.713812\pi\) |
0.957511 | + | 0.288398i | \(0.0931227\pi\) | |||||||
\(252\) | 0.331086 | − | 0.830962i | 0.0208564 | − | 0.0523457i | ||||
\(253\) | 4.05371 | + | 3.08155i | 0.254854 | + | 0.193735i | ||||
\(254\) | 7.45240 | + | 4.48396i | 0.467605 | + | 0.281349i | ||||
\(255\) | 7.61803 | − | 2.56681i | 0.477059 | − | 0.160740i | ||||
\(256\) | −5.70546 | − | 5.40450i | −0.356591 | − | 0.337781i | ||||
\(257\) | 0.242935 | − | 1.48184i | 0.0151539 | − | 0.0924346i | −0.978167 | − | 0.207822i | \(-0.933363\pi\) |
0.993321 | + | 0.115387i | \(0.0368109\pi\) | |||||||
\(258\) | −10.7583 | − | 1.17003i | −0.669781 | − | 0.0728431i | ||||
\(259\) | −5.38825 | + | 3.24200i | −0.334810 | + | 0.201448i | ||||
\(260\) | −2.24835 | + | 2.64696i | −0.139437 | + | 0.164157i | ||||
\(261\) | −3.69231 | + | 1.70825i | −0.228549 | + | 0.105738i | ||||
\(262\) | 18.5472 | + | 8.58087i | 1.14585 | + | 0.530128i | ||||
\(263\) | 5.97233 | + | 7.03117i | 0.368269 | + | 0.433560i | 0.914818 | − | 0.403867i | \(-0.132334\pi\) |
−0.546548 | + | 0.837428i | \(0.684058\pi\) | |||||||
\(264\) | −13.8634 | − | 4.67112i | −0.853234 | − | 0.287488i | ||||
\(265\) | −1.76239 | − | 3.32422i | −0.108263 | − | 0.204206i | ||||
\(266\) | −12.0037 | − | 22.6414i | −0.735995 | − | 1.38823i | ||||
\(267\) | −2.79477 | − | 0.941667i | −0.171037 | − | 0.0576291i | ||||
\(268\) | 2.30429 | + | 2.71282i | 0.140757 | + | 0.165712i | ||||
\(269\) | 26.2246 | + | 12.1328i | 1.59894 | + | 0.739751i | 0.998216 | − | 0.0597023i | \(-0.0190151\pi\) |
0.600729 | + | 0.799453i | \(0.294877\pi\) | |||||||
\(270\) | −4.45720 | + | 2.06212i | −0.271257 | + | 0.125497i | ||||
\(271\) | 8.64461 | − | 10.1772i | 0.525123 | − | 0.618222i | −0.434103 | − | 0.900863i | \(-0.642935\pi\) |
0.959226 | + | 0.282641i | \(0.0912104\pi\) | |||||||
\(272\) | −9.77538 | + | 5.88165i | −0.592719 | + | 0.356627i | ||||
\(273\) | −8.49205 | − | 0.923566i | −0.513962 | − | 0.0558968i | ||||
\(274\) | 4.96571 | − | 30.2895i | 0.299989 | − | 1.82985i | ||||
\(275\) | 22.2327 | + | 21.0600i | 1.34068 | + | 1.26996i | ||||
\(276\) | −0.282187 | + | 0.0950800i | −0.0169857 | + | 0.00572314i | ||||
\(277\) | 3.77324 | + | 2.27028i | 0.226712 | + | 0.136408i | 0.624378 | − | 0.781122i | \(-0.285352\pi\) |
−0.397667 | + | 0.917530i | \(0.630180\pi\) | |||||||
\(278\) | 19.3242 | + | 14.6899i | 1.15899 | + | 0.881042i | ||||
\(279\) | −1.68745 | + | 4.23518i | −0.101025 | + | 0.253554i | ||||
\(280\) | −12.1899 | + | 17.9787i | −0.728484 | + | 1.07443i | ||||
\(281\) | 3.38051 | + | 20.6202i | 0.201664 | + | 1.23010i | 0.872545 | + | 0.488533i | \(0.162468\pi\) |
−0.670881 | + | 0.741565i | \(0.734084\pi\) | |||||||
\(282\) | 0.504176 | + | 9.29898i | 0.0300232 | + | 0.553746i | ||||
\(283\) | 3.20678 | + | 0.705866i | 0.190623 | + | 0.0419594i | 0.309256 | − | 0.950979i | \(-0.399920\pi\) |
−0.118633 | + | 0.992938i | \(0.537851\pi\) | |||||||
\(284\) | 1.91687 | + | 4.81098i | 0.113745 | + | 0.285479i | ||||
\(285\) | −5.42018 | + | 19.5217i | −0.321064 | + | 1.15637i | ||||
\(286\) | 1.52962 | − | 28.2122i | 0.0904484 | − | 1.66822i | ||||
\(287\) | −33.3320 | + | 3.62508i | −1.96753 | + | 0.213981i | ||||
\(288\) | 1.49985 | − | 1.14016i | 0.0883796 | − | 0.0671844i | ||||
\(289\) | −2.87323 | − | 10.3484i | −0.169013 | − | 0.608732i | ||||
\(290\) | −19.5129 | + | 4.29511i | −1.14584 | + | 0.252218i | ||||
\(291\) | 5.52525 | + | 8.14913i | 0.323896 | + | 0.477710i | ||||
\(292\) | 0.997398 | − | 0.944786i | 0.0583683 | − | 0.0552894i | ||||
\(293\) | −7.72882 | + | 14.5781i | −0.451523 | + | 0.851662i | 0.548358 | + | 0.836243i | \(0.315253\pi\) |
−0.999881 | + | 0.0154188i | \(0.995092\pi\) | |||||||
\(294\) | 0.105151 | 0.00613255 | ||||||||
\(295\) | −22.8011 | − | 9.44270i | −1.32753 | − | 0.549775i | ||||
\(296\) | −6.01427 | −0.349572 | ||||||||
\(297\) | 2.69481 | − | 5.08296i | 0.156369 | − | 0.294943i | ||||
\(298\) | −10.6699 | + | 10.1071i | −0.618093 | + | 0.585489i | ||||
\(299\) | 1.59582 | + | 2.35367i | 0.0922889 | + | 0.136116i | ||||
\(300\) | −1.74898 | + | 0.384979i | −0.100977 | + | 0.0222268i | ||||
\(301\) | −5.03572 | − | 18.1370i | −0.290254 | − | 1.04540i | ||||
\(302\) | −15.6528 | + | 11.8990i | −0.900718 | + | 0.684708i | ||||
\(303\) | 8.16018 | − | 0.887474i | 0.468790 | − | 0.0509840i | ||||
\(304\) | 1.55663 | − | 28.7104i | 0.0892789 | − | 1.64665i | ||||
\(305\) | 4.68446 | − | 16.8719i | 0.268232 | − | 0.966083i | ||||
\(306\) | −1.41557 | − | 3.55281i | −0.0809227 | − | 0.203101i | ||||
\(307\) | 27.7529 | + | 6.10888i | 1.58394 | + | 0.348652i | 0.917760 | − | 0.397136i | \(-0.129996\pi\) |
0.666183 | + | 0.745788i | \(0.267927\pi\) | |||||||
\(308\) | 0.278606 | + | 5.13858i | 0.0158750 | + | 0.292798i | ||||
\(309\) | −1.83366 | − | 11.1848i | −0.104313 | − | 0.636282i | ||||
\(310\) | −12.5648 | + | 18.5316i | −0.713630 | + | 1.05253i | ||||
\(311\) | 0.698851 | − | 1.75398i | 0.0396282 | − | 0.0994593i | −0.907831 | − | 0.419337i | \(-0.862263\pi\) |
0.947459 | + | 0.319878i | \(0.103642\pi\) | |||||||
\(312\) | −6.50389 | − | 4.94413i | −0.368210 | − | 0.279906i | ||||
\(313\) | −11.3281 | − | 6.81590i | −0.640303 | − | 0.385258i | 0.158064 | − | 0.987429i | \(-0.449475\pi\) |
−0.798367 | + | 0.602171i | \(0.794302\pi\) | |||||||
\(314\) | −17.9842 | + | 6.05960i | −1.01491 | + | 0.341963i | ||||
\(315\) | −6.20168 | − | 5.87454i | −0.349425 | − | 0.330993i | ||||
\(316\) | 0.231306 | − | 1.41091i | 0.0130120 | − | 0.0793697i | ||||
\(317\) | 7.08265 | + | 0.770285i | 0.397801 | + | 0.0432635i | 0.304834 | − | 0.952406i | \(-0.401399\pi\) |
0.0929678 | + | 0.995669i | \(0.470365\pi\) | |||||||
\(318\) | −1.53377 | + | 0.922840i | −0.0860097 | + | 0.0517503i | ||||
\(319\) | 15.1525 | − | 17.8389i | 0.848376 | − | 0.998785i | ||||
\(320\) | −18.1945 | + | 8.41767i | −1.01710 | + | 0.470562i | ||||
\(321\) | 5.23694 | + | 2.42287i | 0.292297 | + | 0.135231i | ||||
\(322\) | −2.32861 | − | 2.74146i | −0.129769 | − | 0.152775i | ||||
\(323\) | −14.9514 | − | 5.03771i | −0.831917 | − | 0.280306i | ||||
\(324\) | 0.157590 | + | 0.297246i | 0.00875500 | + | 0.0165137i | ||||
\(325\) | 8.01075 | + | 15.1099i | 0.444356 | + | 0.838145i | ||||
\(326\) | 32.8350 | + | 11.0634i | 1.81856 | + | 0.612745i | ||||
\(327\) | 2.62462 | + | 3.08994i | 0.145142 | + | 0.170874i | ||||
\(328\) | −29.1032 | − | 13.4646i | −1.60696 | − | 0.743458i | ||||
\(329\) | −14.7011 | + | 6.80147i | −0.810500 | + | 0.374977i | ||||
\(330\) | 18.2914 | − | 21.5343i | 1.00691 | − | 1.18543i | ||||
\(331\) | −21.8240 | + | 13.1311i | −1.19956 | + | 0.721750i | −0.967971 | − | 0.251064i | \(-0.919220\pi\) |
−0.231588 | + | 0.972814i | \(0.574392\pi\) | |||||||
\(332\) | −4.97034 | − | 0.540557i | −0.272783 | − | 0.0296669i | ||||
\(333\) | 0.382646 | − | 2.33404i | 0.0209689 | − | 0.127904i | ||||
\(334\) | 3.63013 | + | 3.43864i | 0.198632 | + | 0.188154i | ||||
\(335\) | 32.2123 | − | 10.8536i | 1.75994 | − | 0.592994i | ||||
\(336\) | 10.3876 | + | 6.25002i | 0.566691 | + | 0.340967i | ||||
\(337\) | −1.60576 | − | 1.22066i | −0.0874711 | − | 0.0664938i | 0.560525 | − | 0.828138i | \(-0.310599\pi\) |
−0.647996 | + | 0.761644i | \(0.724393\pi\) | |||||||
\(338\) | −1.51483 | + | 3.80194i | −0.0823959 | + | 0.206798i | ||||
\(339\) | 4.66541 | − | 6.88096i | 0.253390 | − | 0.373723i | ||||
\(340\) | −0.437549 | − | 2.66893i | −0.0237294 | − | 0.144743i | ||||
\(341\) | −1.41997 | − | 26.1899i | −0.0768959 | − | 1.41826i | ||||
\(342\) | 9.41335 | + | 2.07204i | 0.509016 | + | 0.112043i | ||||
\(343\) | −6.82096 | − | 17.1193i | −0.368297 | − | 0.924356i | ||||
\(344\) | 4.81621 | − | 17.3464i | 0.259672 | − | 0.935256i | ||||
\(345\) | −0.153956 | + | 2.83955i | −0.00828871 | + | 0.152876i | ||||
\(346\) | 15.6337 | − | 1.70027i | 0.840474 | − | 0.0914071i | ||||
\(347\) | −12.0576 | + | 9.16595i | −0.647286 | + | 0.492054i | −0.876550 | − | 0.481310i | \(-0.840161\pi\) |
0.229265 | + | 0.973364i | \(0.426368\pi\) | |||||||
\(348\) | 0.366176 | + | 1.31885i | 0.0196291 | + | 0.0706976i | ||||
\(349\) | 14.5157 | − | 3.19516i | 0.777010 | − | 0.171033i | 0.191276 | − | 0.981536i | \(-0.438737\pi\) |
0.585734 | + | 0.810503i | \(0.300806\pi\) | |||||||
\(350\) | −12.1398 | − | 17.9049i | −0.648901 | − | 0.957057i | ||||
\(351\) | 2.33253 | − | 2.20949i | 0.124501 | − | 0.117934i | ||||
\(352\) | −5.07707 | + | 9.57638i | −0.270609 | + | 0.510423i | ||||
\(353\) | −24.9220 | −1.32646 | −0.663232 | − | 0.748414i | \(-0.730816\pi\) | ||||
−0.663232 | + | 0.748414i | \(0.730816\pi\) | |||||||
\(354\) | −3.89846 | + | 11.0748i | −0.207201 | + | 0.588620i | ||||
\(355\) | 49.4570 | 2.62490 | ||||||||
\(356\) | −0.464756 | + | 0.876623i | −0.0246320 | + | 0.0464609i | ||||
\(357\) | 4.82944 | − | 4.57469i | 0.255601 | − | 0.242118i | ||||
\(358\) | 10.6698 | + | 15.7367i | 0.563914 | + | 0.831711i | ||||
\(359\) | −10.6169 | + | 2.33696i | −0.560340 | + | 0.123340i | −0.486104 | − | 0.873901i | \(-0.661583\pi\) |
−0.0742351 | + | 0.997241i | \(0.523652\pi\) | |||||||
\(360\) | −2.18569 | − | 7.87215i | −0.115196 | − | 0.414898i | ||||
\(361\) | 16.5296 | − | 12.5654i | 0.869977 | − | 0.661339i | ||||
\(362\) | 14.0017 | − | 1.52278i | 0.735916 | − | 0.0800356i | ||||
\(363\) | −1.19639 | + | 22.0661i | −0.0627941 | + | 1.15817i | ||||
\(364\) | −0.768846 | + | 2.76913i | −0.0402985 | + | 0.145142i | ||||
\(365\) | −4.85621 | − | 12.1882i | −0.254186 | − | 0.637958i | ||||
\(366\) | −8.13561 | − | 1.79078i | −0.425255 | − | 0.0936058i | ||||
\(367\) | 1.66286 | + | 30.6696i | 0.0868004 | + | 1.60094i | 0.640324 | + | 0.768105i | \(0.278800\pi\) |
−0.553524 | + | 0.832833i | \(0.686717\pi\) | |||||||
\(368\) | −0.652904 | − | 3.98254i | −0.0340350 | − | 0.207604i | ||||
\(369\) | 7.07702 | − | 10.4378i | 0.368415 | − | 0.543371i | ||||
\(370\) | 4.29942 | − | 10.7907i | 0.223516 | − | 0.560984i | ||||
\(371\) | −2.47863 | − | 1.88421i | −0.128684 | − | 0.0978231i | ||||
\(372\) | 1.31425 | + | 0.790760i | 0.0681409 | + | 0.0409990i | ||||
\(373\) | 30.7821 | − | 10.3717i | 1.59383 | − | 0.537025i | 0.624133 | − | 0.781318i | \(-0.285452\pi\) |
0.969701 | + | 0.244293i | \(0.0785558\pi\) | |||||||
\(374\) | 15.9737 | + | 15.1311i | 0.825980 | + | 0.782410i | ||||
\(375\) | −0.167885 | + | 1.02405i | −0.00866952 | + | 0.0528817i | ||||
\(376\) | −15.4013 | − | 1.67500i | −0.794264 | − | 0.0863814i | ||||
\(377\) | 11.2000 | − | 6.73881i | 0.576829 | − | 0.347066i | ||||
\(378\) | −2.63095 | + | 3.09740i | −0.135322 | + | 0.159313i | ||||
\(379\) | −21.9036 | + | 10.1337i | −1.12511 | + | 0.520531i | −0.892053 | − | 0.451931i | \(-0.850735\pi\) |
−0.233058 | + | 0.972463i | \(0.574873\pi\) | |||||||
\(380\) | 6.18630 | + | 2.86208i | 0.317350 | + | 0.146822i | ||||
\(381\) | −3.68362 | − | 4.33669i | −0.188717 | − | 0.222175i | ||||
\(382\) | −8.37360 | − | 2.82139i | −0.428430 | − | 0.144355i | ||||
\(383\) | −0.669632 | − | 1.26306i | −0.0342166 | − | 0.0645393i | 0.865814 | − | 0.500366i | \(-0.166801\pi\) |
−0.900031 | + | 0.435826i | \(0.856456\pi\) | |||||||
\(384\) | 6.23240 | + | 11.7555i | 0.318046 | + | 0.599898i | ||||
\(385\) | 46.5724 | + | 15.6921i | 2.37355 | + | 0.799742i | ||||
\(386\) | −3.17329 | − | 3.73589i | −0.161516 | − | 0.190152i | ||||
\(387\) | 6.42542 | + | 2.97272i | 0.326623 | + | 0.151112i | ||||
\(388\) | 3.00629 | − | 1.39086i | 0.152621 | − | 0.0706100i | ||||
\(389\) | −4.73888 | + | 5.57904i | −0.240271 | + | 0.282869i | −0.869060 | − | 0.494707i | \(-0.835275\pi\) |
0.628789 | + | 0.777576i | \(0.283551\pi\) | |||||||
\(390\) | 13.5201 | − | 8.13480i | 0.684619 | − | 0.411922i | ||||
\(391\) | −2.20151 | − | 0.239429i | −0.111335 | − | 0.0121084i | ||||
\(392\) | −0.0282999 | + | 0.172621i | −0.00142936 | + | 0.00871870i | ||||
\(393\) | −9.70630 | − | 9.19429i | −0.489618 | − | 0.463791i | ||||
\(394\) | 4.44721 | − | 1.49844i | 0.224047 | − | 0.0754903i | ||||
\(395\) | −11.6994 | − | 7.03931i | −0.588662 | − | 0.354186i | ||||
\(396\) | −1.54089 | − | 1.17135i | −0.0774327 | − | 0.0588628i | ||||
\(397\) | 1.29832 | − | 3.25853i | 0.0651607 | − | 0.163541i | −0.892791 | − | 0.450472i | \(-0.851256\pi\) |
0.957951 | + | 0.286931i | \(0.0926350\pi\) | |||||||
\(398\) | 18.1032 | − | 26.7003i | 0.907434 | − | 1.33836i | ||||
\(399\) | 2.71234 | + | 16.5445i | 0.135787 | + | 0.828263i | ||||
\(400\) | −1.31401 | − | 24.2355i | −0.0657006 | − | 1.21178i | ||||
\(401\) | 16.2709 | + | 3.58151i | 0.812532 | + | 0.178852i | 0.601753 | − | 0.798682i | \(-0.294469\pi\) |
0.210779 | + | 0.977534i | \(0.432400\pi\) | |||||||
\(402\) | −5.98563 | − | 15.0228i | −0.298536 | − | 0.749269i | ||||
\(403\) | 3.91859 | − | 14.1135i | 0.195199 | − | 0.703043i | ||||
\(404\) | 0.149509 | − | 2.75753i | 0.00743834 | − | 0.137192i | ||||
\(405\) | 3.19411 | − | 0.347380i | 0.158716 | − | 0.0172614i | ||||
\(406\) | −13.1622 | + | 10.0057i | −0.653230 | + | 0.496573i | ||||
\(407\) | 3.64033 | + | 13.1113i | 0.180444 | + | 0.649902i | ||||
\(408\) | 6.21345 | − | 1.36768i | 0.307611 | − | 0.0677104i | ||||
\(409\) | −5.12428 | − | 7.55775i | −0.253379 | − | 0.373707i | 0.679632 | − | 0.733553i | \(-0.262139\pi\) |
−0.933012 | + | 0.359847i | \(0.882829\pi\) | |||||||
\(410\) | 44.9631 | − | 42.5913i | 2.22057 | − | 2.10343i | ||||
\(411\) | −9.40586 | + | 17.7413i | −0.463957 | + | 0.875116i | ||||
\(412\) | −3.81322 | −0.187864 | ||||||||
\(413\) | −20.4051 | + | 0.830800i | −1.00407 | + | 0.0408810i | ||||
\(414\) | 1.35289 | 0.0664907 | ||||||||
\(415\) | −22.3647 | + | 42.1842i | −1.09784 | + | 2.07074i | ||||
\(416\) | −4.39452 | + | 4.16271i | −0.215459 | + | 0.204094i | ||||
\(417\) | −8.91187 | − | 13.1440i | −0.436416 | − | 0.643666i | ||||
\(418\) | −54.1563 | + | 11.9207i | −2.64887 | + | 0.583060i | ||||
\(419\) | −0.825623 | − | 2.97363i | −0.0403343 | − | 0.145271i | 0.940641 | − | 0.339403i | \(-0.110225\pi\) |
−0.980976 | + | 0.194132i | \(0.937811\pi\) | |||||||
\(420\) | −2.28793 | + | 1.73924i | −0.111640 | + | 0.0848662i | ||||
\(421\) | −9.30002 | + | 1.01144i | −0.453255 | + | 0.0492945i | −0.331900 | − | 0.943315i | \(-0.607690\pi\) |
−0.121356 | + | 0.992609i | \(0.538724\pi\) | |||||||
\(422\) | −0.140334 | + | 2.58831i | −0.00683135 | + | 0.125997i | ||||
\(423\) | 1.62992 | − | 5.87043i | 0.0792493 | − | 0.285430i | ||||
\(424\) | −1.10219 | − | 2.76628i | −0.0535270 | − | 0.134343i | ||||
\(425\) | −13.0068 | − | 2.86302i | −0.630924 | − | 0.138877i | ||||
\(426\) | −1.27383 | − | 23.4944i | −0.0617173 | − | 1.13831i | ||||
\(427\) | −2.34418 | − | 14.2988i | −0.113443 | − | 0.691969i | ||||
\(428\) | 1.08945 | − | 1.60681i | 0.0526604 | − | 0.0776683i | ||||
\(429\) | −6.84166 | + | 17.1713i | −0.330318 | + | 0.829037i | ||||
\(430\) | 27.6798 | + | 21.0416i | 1.33484 | + | 1.01472i | ||||
\(431\) | 16.8099 | + | 10.1142i | 0.809703 | + | 0.487182i | 0.859229 | − | 0.511591i | \(-0.170944\pi\) |
−0.0495262 | + | 0.998773i | \(0.515771\pi\) | |||||||
\(432\) | −4.32100 | + | 1.45591i | −0.207894 | + | 0.0700477i | ||||
\(433\) | 20.1288 | + | 19.0670i | 0.967329 | + | 0.916303i | 0.996527 | − | 0.0832709i | \(-0.0265367\pi\) |
−0.0291979 | + | 0.999574i | \(0.509295\pi\) | |||||||
\(434\) | −2.99741 | + | 18.2834i | −0.143880 | + | 0.877632i | ||||
\(435\) | 12.9947 | + | 1.41326i | 0.623047 | + | 0.0677604i | ||||
\(436\) | 1.16873 | − | 0.703203i | 0.0559721 | − | 0.0336773i | ||||
\(437\) | 3.61318 | − | 4.25376i | 0.172842 | − | 0.203485i | ||||
\(438\) | −5.66488 | + | 2.62085i | −0.270678 | + | 0.125229i | ||||
\(439\) | 4.66723 | + | 2.15929i | 0.222755 | + | 0.103057i | 0.528093 | − | 0.849187i | \(-0.322907\pi\) |
−0.305338 | + | 0.952244i | \(0.598769\pi\) | |||||||
\(440\) | 30.4289 | + | 35.8237i | 1.45064 | + | 1.70783i | ||||
\(441\) | −0.0651909 | − | 0.0219654i | −0.00310433 | − | 0.00104597i | ||||
\(442\) | 5.75553 | + | 10.8561i | 0.273763 | + | 0.516371i | ||||
\(443\) | −17.7231 | − | 33.4292i | −0.842048 | − | 1.58827i | −0.808248 | − | 0.588842i | \(-0.799584\pi\) |
−0.0337999 | − | 0.999429i | \(-0.510761\pi\) | |||||||
\(444\) | −0.754084 | − | 0.254081i | −0.0357873 | − | 0.0120581i | ||||
\(445\) | 6.13427 | + | 7.22182i | 0.290792 | + | 0.342347i | ||||
\(446\) | −11.7257 | − | 5.42490i | −0.555229 | − | 0.256876i | ||||
\(447\) | 8.72637 | − | 4.03725i | 0.412743 | − | 0.190955i | ||||
\(448\) | −10.7397 | + | 12.6437i | −0.507402 | + | 0.597360i | ||||
\(449\) | −24.7970 | + | 14.9199i | −1.17024 | + | 0.704113i | −0.961755 | − | 0.273911i | \(-0.911682\pi\) |
−0.208490 | + | 0.978024i | \(0.566855\pi\) | |||||||
\(450\) | 8.08870 | + | 0.879699i | 0.381305 | + | 0.0414694i | ||||
\(451\) | −11.7375 | + | 71.5958i | −0.552699 | + | 3.37131i | ||||
\(452\) | −2.03058 | − | 1.92347i | −0.0955104 | − | 0.0904722i | ||||
\(453\) | 12.1899 | − | 4.10726i | 0.572732 | − | 0.192976i | ||||
\(454\) | −2.76988 | − | 1.66658i | −0.129997 | − | 0.0782165i | ||||
\(455\) | 21.8490 | + | 16.6092i | 1.02430 | + | 0.778652i | ||||
\(456\) | −5.93501 | + | 14.8958i | −0.277932 | + | 0.697558i | ||||
\(457\) | 8.99380 | − | 13.2649i | 0.420712 | − | 0.620504i | −0.556985 | − | 0.830522i | \(-0.688042\pi\) |
0.977697 | + | 0.210018i | \(0.0673523\pi\) | |||||||
\(458\) | 5.82471 | + | 35.5291i | 0.272171 | + | 1.66017i | ||||
\(459\) | 0.135457 | + | 2.49835i | 0.00632257 | + | 0.116613i | ||||
\(460\) | 0.934365 | + | 0.205669i | 0.0435650 | + | 0.00958938i | ||||
\(461\) | −10.2473 | − | 25.7187i | −0.477263 | − | 1.19784i | −0.948767 | − | 0.315975i | \(-0.897668\pi\) |
0.471505 | − | 0.881863i | \(-0.343711\pi\) | |||||||
\(462\) | 6.25495 | − | 22.5283i | 0.291006 | − | 1.04811i | ||||
\(463\) | 1.86808 | − | 34.4546i | 0.0868169 | − | 1.60124i | −0.553311 | − | 0.832975i | \(-0.686636\pi\) |
0.640128 | − | 0.768268i | \(-0.278881\pi\) | |||||||
\(464\) | −18.4415 | + | 2.00564i | −0.856127 | + | 0.0931095i | ||||
\(465\) | 11.6609 | − | 8.86441i | 0.540763 | − | 0.411077i | ||||
\(466\) | −2.77545 | − | 9.99628i | −0.128570 | − | 0.463069i | ||||
\(467\) | 19.8737 | − | 4.37454i | 0.919646 | − | 0.202429i | 0.270171 | − | 0.962812i | \(-0.412920\pi\) |
0.649475 | + | 0.760383i | \(0.274989\pi\) | |||||||
\(468\) | −0.606603 | − | 0.894673i | −0.0280402 | − | 0.0413563i | ||||
\(469\) | 20.4209 | − | 19.3437i | 0.942951 | − | 0.893211i | ||||
\(470\) | 14.0152 | − | 26.4355i | 0.646474 | − | 1.21938i | ||||
\(471\) | 12.4155 | 0.572078 | ||||||||
\(472\) | −17.1318 | − | 9.38051i | −0.788553 | − | 0.431773i | ||||
\(473\) | −40.7308 | −1.87281 | ||||||||
\(474\) | −3.04267 | + | 5.73909i | −0.139755 | + | 0.263605i | ||||
\(475\) | 24.3686 | − | 23.0832i | 1.11811 | − | 1.05913i | ||||
\(476\) | −1.25596 | − | 1.85240i | −0.0575667 | − | 0.0849045i | ||||
\(477\) | 1.14367 | − | 0.251741i | 0.0523651 | − | 0.0115264i | ||||
\(478\) | −3.92207 | − | 14.1260i | −0.179391 | − | 0.646108i | ||||
\(479\) | −14.0771 | + | 10.7011i | −0.643199 | + | 0.488948i | −0.875196 | − | 0.483769i | \(-0.839267\pi\) |
0.231996 | + | 0.972717i | \(0.425474\pi\) | |||||||
\(480\) | −6.01774 | + | 0.654469i | −0.274671 | + | 0.0298723i | ||||
\(481\) | −0.411405 | + | 7.58792i | −0.0187585 | + | 0.345979i | ||||
\(482\) | −3.03406 | + | 10.9277i | −0.138197 | + | 0.497742i | ||||
\(483\) | 0.871005 | + | 2.18606i | 0.0396321 | + | 0.0994691i | ||||
\(484\) | 7.26094 | + | 1.59825i | 0.330043 | + | 0.0726478i | ||||
\(485\) | −1.71260 | − | 31.5871i | −0.0777652 | − | 1.43429i | ||||
\(486\) | −0.247290 | − | 1.50840i | −0.0112173 | − | 0.0684226i | ||||
\(487\) | −3.21807 | + | 4.74630i | −0.145825 | + | 0.215075i | −0.893586 | − | 0.448893i | \(-0.851819\pi\) |
0.747761 | + | 0.663968i | \(0.231129\pi\) | |||||||
\(488\) | 5.12941 | − | 12.8739i | 0.232198 | − | 0.582772i | ||||
\(489\) | −18.0457 | − | 13.7180i | −0.816056 | − | 0.620350i | ||||
\(490\) | −0.289485 | − | 0.174177i | −0.0130776 | − | 0.00786852i | ||||
\(491\) | 5.54436 | − | 1.86811i | 0.250213 | − | 0.0843067i | −0.191400 | − | 0.981512i | \(-0.561303\pi\) |
0.441613 | + | 0.897205i | \(0.354406\pi\) | |||||||
\(492\) | −3.08021 | − | 2.91773i | −0.138867 | − | 0.131541i | ||||
\(493\) | −1.64678 | + | 10.0449i | −0.0741674 | + | 0.452401i | ||||
\(494\) | −30.7864 | − | 3.34822i | −1.38514 | − | 0.150644i | ||||
\(495\) | −15.8385 | + | 9.52973i | −0.711890 | + | 0.428330i | ||||
\(496\) | −13.4575 | + | 15.8434i | −0.604261 | + | 0.711391i | ||||
\(497\) | 37.1433 | − | 17.1843i | 1.66610 | − | 0.770822i | ||||
\(498\) | 20.6156 | + | 9.53777i | 0.923805 | + | 0.427398i | ||||
\(499\) | −18.5834 | − | 21.8781i | −0.831909 | − | 0.979399i | 0.168071 | − | 0.985775i | \(-0.446246\pi\) |
−0.999980 | + | 0.00637625i | \(0.997970\pi\) | |||||||
\(500\) | 0.330852 | + | 0.111477i | 0.0147962 | + | 0.00498540i | ||||
\(501\) | −1.53227 | − | 2.89017i | −0.0684569 | − | 0.129123i | ||||
\(502\) | 6.77508 | + | 12.7792i | 0.302387 | + | 0.570362i | ||||
\(503\) | 13.4919 | + | 4.54594i | 0.601573 | + | 0.202693i | 0.603577 | − | 0.797305i | \(-0.293742\pi\) |
−0.00200461 | + | 0.999998i | \(0.500638\pi\) | |||||||
\(504\) | −4.37676 | − | 5.15272i | −0.194956 | − | 0.229520i | ||||
\(505\) | −23.9353 | − | 11.0736i | −1.06511 | − | 0.492771i | ||||
\(506\) | −7.06396 | + | 3.26814i | −0.314031 | + | 0.145286i | ||||
\(507\) | 1.73335 | − | 2.04066i | 0.0769808 | − | 0.0906288i | ||||
\(508\) | −1.64030 | + | 0.986935i | −0.0727765 | + | 0.0437882i | ||||
\(509\) | −4.32395 | − | 0.470257i | −0.191656 | − | 0.0208438i | 0.0117878 | − | 0.999931i | \(-0.496248\pi\) |
−0.203443 | + | 0.979087i | \(0.565213\pi\) | |||||||
\(510\) | −1.98793 | + | 12.1258i | −0.0880268 | + | 0.536940i | ||||
\(511\) | −7.88202 | − | 7.46624i | −0.348680 | − | 0.330287i | ||||
\(512\) | −13.8342 | + | 4.66130i | −0.611393 | + | 0.206002i | ||||
\(513\) | −5.40319 | − | 3.25099i | −0.238557 | − | 0.143535i | ||||
\(514\) | 1.82726 | + | 1.38905i | 0.0805971 | + | 0.0612684i | ||||
\(515\) | −13.4789 | + | 33.8295i | −0.593951 | + | 1.49071i | ||||
\(516\) | 1.33669 | − | 1.97147i | 0.0588445 | − | 0.0867891i | ||||
\(517\) | 5.67061 | + | 34.5892i | 0.249393 | + | 1.52123i | ||||
\(518\) | −0.520386 | − | 9.59796i | −0.0228645 | − | 0.421710i | ||||
\(519\) | −10.0477 | − | 2.21166i | −0.441043 | − | 0.0970809i | ||||
\(520\) | 9.71574 | + | 24.3847i | 0.426064 | + | 1.06934i | ||||
\(521\) | −5.65561 | + | 20.3697i | −0.247777 | + | 0.892411i | 0.730120 | + | 0.683319i | \(0.239464\pi\) |
−0.977896 | + | 0.209091i | \(0.932949\pi\) | |||||||
\(522\) | 0.336669 | − | 6.20949i | 0.0147356 | − | 0.271782i | ||||
\(523\) | 22.7872 | − | 2.47826i | 0.996414 | − | 0.108367i | 0.404645 | − | 0.914474i | \(-0.367395\pi\) |
0.591769 | + | 0.806107i | \(0.298430\pi\) | |||||||
\(524\) | −3.58086 | + | 2.72210i | −0.156431 | + | 0.118915i | ||||
\(525\) | 3.78615 | + | 13.6365i | 0.165241 | + | 0.595144i | ||||
\(526\) | −13.7716 | + | 3.03135i | −0.600468 | + | 0.132173i | ||||
\(527\) | 6.40125 | + | 9.44114i | 0.278843 | + | 0.411263i | ||||
\(528\) | 19.0446 | − | 18.0400i | 0.828812 | − | 0.785092i | ||||
\(529\) | −10.4065 | + | 19.6287i | −0.452455 | + | 0.853420i | ||||
\(530\) | 5.75115 | 0.249814 | ||||||||
\(531\) | 4.73039 | − | 6.05173i | 0.205281 | − | 0.262623i | ||||
\(532\) | 5.64050 | 0.244547 | ||||||||
\(533\) | −18.9784 | + | 35.7971i | −0.822047 | + | 1.55055i | ||||
\(534\) | 3.27271 | − | 3.10007i | 0.141624 | − | 0.134153i | ||||
\(535\) | −10.4041 | − | 15.3449i | −0.449809 | − | 0.663419i | ||||
\(536\) | 26.2731 | − | 5.78315i | 1.13483 | − | 0.249794i | ||||
\(537\) | −3.32766 | − | 11.9852i | −0.143599 | − | 0.517198i | ||||
\(538\) | −35.1615 | + | 26.7291i | −1.51592 | + | 1.15237i | ||||
\(539\) | 0.393449 | − | 0.0427902i | 0.0169471 | − | 0.00184310i | ||||
\(540\) | 0.0585216 | − | 1.07937i | 0.00251837 | − | 0.0464485i | ||||
\(541\) | −9.72940 | + | 35.0421i | −0.418299 | + | 1.50658i | 0.391670 | + | 0.920106i | \(0.371898\pi\) |
−0.809969 | + | 0.586472i | \(0.800516\pi\) | |||||||
\(542\) | 7.55480 | + | 18.9611i | 0.324506 | + | 0.814450i | ||||
\(543\) | −8.99880 | − | 1.98078i | −0.386175 | − | 0.0850036i | ||||
\(544\) | −0.255202 | − | 4.70693i | −0.0109417 | − | 0.201808i | ||||
\(545\) | −2.10734 | − | 12.8542i | −0.0902687 | − | 0.550615i | ||||
\(546\) | 7.32741 | − | 10.8071i | 0.313584 | − | 0.462502i | ||||
\(547\) | 6.59730 | − | 16.5580i | 0.282080 | − | 0.707968i | −0.717851 | − | 0.696197i | \(-0.754874\pi\) |
0.999931 | − | 0.0117705i | \(-0.00374675\pi\) | |||||||
\(548\) | 5.37826 | + | 4.08844i | 0.229748 | + | 0.174650i | ||||
\(549\) | 4.66977 | + | 2.80971i | 0.199301 | + | 0.119916i | ||||
\(550\) | −44.3594 | + | 14.9464i | −1.89149 | + | 0.637318i | ||||
\(551\) | −18.6248 | − | 17.6423i | −0.793443 | − | 0.751589i | ||||
\(552\) | −0.364108 | + | 2.22096i | −0.0154975 | + | 0.0945305i | ||||
\(553\) | −11.2324 | − | 1.22160i | −0.477650 | − | 0.0519476i | ||||
\(554\) | −5.76755 | + | 3.47022i | −0.245040 | + | 0.147435i | ||||
\(555\) | −4.91963 | + | 5.79184i | −0.208827 | + | 0.245850i | ||||
\(556\) | −4.84895 | + | 2.24336i | −0.205641 | + | 0.0951398i | ||||
\(557\) | 35.5518 | + | 16.4480i | 1.50638 | + | 0.696925i | 0.987456 | − | 0.157895i | \(-0.0504708\pi\) |
0.518924 | + | 0.854821i | \(0.326333\pi\) | |||||||
\(558\) | −4.51136 | − | 5.31118i | −0.190981 | − | 0.224840i | ||||
\(559\) | −21.5557 | − | 7.26295i | −0.911708 | − | 0.307190i | ||||
\(560\) | −18.2446 | − | 34.4130i | −0.770976 | − | 1.45421i | ||||
\(561\) | −6.74247 | − | 12.7177i | −0.284668 | − | 0.536940i | ||||
\(562\) | −30.2676 | − | 10.1984i | −1.27676 | − | 0.430192i | ||||
\(563\) | −29.6796 | − | 34.9415i | −1.25084 | − | 1.47261i | −0.822266 | − | 0.569104i | \(-0.807290\pi\) |
−0.428579 | − | 0.903504i | \(-0.640986\pi\) | |||||||
\(564\) | −1.86030 | − | 0.860665i | −0.0783326 | − | 0.0362405i | ||||
\(565\) | −24.2419 | + | 11.2155i | −1.01987 | + | 0.471840i | ||||
\(566\) | −3.24926 | + | 3.82532i | −0.136576 | + | 0.160790i | ||||
\(567\) | 2.27814 | − | 1.37071i | 0.0956730 | − | 0.0575645i | ||||
\(568\) | 38.9124 | + | 4.23198i | 1.63273 | + | 0.177570i | ||||
\(569\) | 3.98577 | − | 24.3121i | 0.167092 | − | 1.01922i | −0.761514 | − | 0.648149i | \(-0.775543\pi\) |
0.928606 | − | 0.371068i | \(-0.121008\pi\) | |||||||
\(570\) | −22.4830 | − | 21.2971i | −0.941711 | − | 0.892036i | ||||
\(571\) | 8.59257 | − | 2.89517i | 0.359588 | − | 0.121159i | −0.133708 | − | 0.991021i | \(-0.542688\pi\) |
0.493296 | + | 0.869861i | \(0.335792\pi\) | |||||||
\(572\) | 5.32856 | + | 3.20609i | 0.222798 | + | 0.134053i | ||||
\(573\) | 4.60203 | + | 3.49837i | 0.192253 | + | 0.146147i | ||||
\(574\) | 18.9695 | − | 47.6099i | 0.791772 | − | 1.98720i | ||||
\(575\) | 2.64391 | − | 3.89948i | 0.110259 | − | 0.162619i | ||||
\(576\) | −1.00945 | − | 6.15738i | −0.0420604 | − | 0.256557i | ||||
\(577\) | 0.722289 | + | 13.3218i | 0.0300693 | + | 0.554595i | 0.974292 | + | 0.225288i | \(0.0723323\pi\) |
−0.944223 | + | 0.329307i | \(0.893185\pi\) | |||||||
\(578\) | 16.0326 | + | 3.52904i | 0.666867 | + | 0.146789i | ||||
\(579\) | 1.18695 | + | 2.97903i | 0.0493280 | + | 0.123804i | ||||
\(580\) | 1.17650 | − | 4.23737i | 0.0488515 | − | 0.175947i | ||||
\(581\) | −2.13903 | + | 39.4521i | −0.0887420 | + | 1.63675i | ||||
\(582\) | −14.9612 | + | 1.62713i | −0.620163 | + | 0.0674468i | ||||
\(583\) | −5.36344 | + | 4.07718i | −0.222131 | + | 0.168860i | ||||
\(584\) | −2.77790 | − | 10.0051i | −0.114950 | − | 0.414014i | ||||
\(585\) | −10.0814 | + | 2.21909i | −0.416815 | + | 0.0917480i | ||||
\(586\) | −14.1538 | − | 20.8753i | −0.584689 | − | 0.862351i | ||||
\(587\) | −14.7883 | + | 14.0082i | −0.610378 | + | 0.578181i | −0.929174 | − | 0.369642i | \(-0.879480\pi\) |
0.318796 | + | 0.947823i | \(0.396722\pi\) | |||||||
\(588\) | −0.0108409 | + | 0.0204481i | −0.000447072 | + | 0.000843267i | ||||
\(589\) | −28.7481 | −1.18454 | ||||||||
\(590\) | 29.0774 | − | 24.0318i | 1.19710 | − | 0.989372i | ||||
\(591\) | −3.07016 | −0.126290 | ||||||||
\(592\) | 5.05157 | − | 9.52827i | 0.207618 | − | 0.391609i | ||||
\(593\) | 9.36604 | − | 8.87198i | 0.384617 | − | 0.364329i | −0.470825 | − | 0.882226i | \(-0.656044\pi\) |
0.855443 | + | 0.517898i | \(0.173285\pi\) | |||||||
\(594\) | 4.93502 | + | 7.27861i | 0.202486 | + | 0.298645i | ||||
\(595\) | −20.8733 | + | 4.59456i | −0.855723 | + | 0.188359i | ||||
\(596\) | −0.865416 | − | 3.11695i | −0.0354488 | − | 0.127675i | ||||
\(597\) | −16.8010 | + | 12.7718i | −0.687620 | + | 0.522715i | ||||
\(598\) | −4.32117 | + | 0.469955i | −0.176706 | + | 0.0192179i | ||||
\(599\) | 1.22210 | − | 22.5403i | 0.0499337 | − | 0.920973i | −0.861047 | − | 0.508525i | \(-0.830191\pi\) |
0.910981 | − | 0.412448i | \(-0.135326\pi\) | |||||||
\(600\) | −3.62110 | + | 13.0420i | −0.147831 | + | 0.532439i | ||||
\(601\) | −4.16331 | − | 10.4491i | −0.169825 | − | 0.426229i | 0.819289 | − | 0.573381i | \(-0.194369\pi\) |
−0.989114 | + | 0.147152i | \(0.952989\pi\) | |||||||
\(602\) | 28.0992 | + | 6.18511i | 1.14524 | + | 0.252086i | ||||
\(603\) | 0.572768 | + | 10.5641i | 0.0233249 | + | 0.430203i | ||||
\(604\) | −0.700141 | − | 4.27067i | −0.0284883 | − | 0.173771i | ||||
\(605\) | 39.8449 | − | 58.7669i | 1.61993 | − | 2.38921i | ||||
\(606\) | −4.64402 | + | 11.6556i | −0.188650 | + | 0.473477i | ||||
\(607\) | 22.6566 | + | 17.2231i | 0.919603 | + | 0.699064i | 0.953829 | − | 0.300350i | \(-0.0971035\pi\) |
−0.0342260 | + | 0.999414i | \(0.510897\pi\) | |||||||
\(608\) | 10.1797 | + | 6.12492i | 0.412841 | + | 0.248398i | ||||
\(609\) | 10.2503 | − | 3.45374i | 0.415364 | − | 0.139953i | ||||
\(610\) | 19.4313 | + | 18.4063i | 0.786749 | + | 0.745248i | ||||
\(611\) | −3.16679 | + | 19.3166i | −0.128115 | + | 0.781464i | ||||
\(612\) | 0.836837 | + | 0.0910115i | 0.0338271 | + | 0.00367892i | ||||
\(613\) | 36.5599 | − | 21.9974i | 1.47664 | − | 0.888465i | 0.476684 | − | 0.879075i | \(-0.341839\pi\) |
0.999956 | − | 0.00939003i | \(-0.00298898\pi\) | |||||||
\(614\) | −28.1205 | + | 33.1060i | −1.13485 | + | 1.33605i | ||||
\(615\) | −36.7729 | + | 17.0130i | −1.48283 | + | 0.686028i | ||||
\(616\) | 35.3001 | + | 16.3316i | 1.42228 | + | 0.658017i | ||||
\(617\) | 10.5770 | + | 12.4522i | 0.425813 | + | 0.501306i | 0.932673 | − | 0.360723i | \(-0.117470\pi\) |
−0.506860 | + | 0.862028i | \(0.669194\pi\) | |||||||
\(618\) | 16.4178 | + | 5.53180i | 0.660420 | + | 0.222521i | ||||
\(619\) | 6.95762 | + | 13.1235i | 0.279650 | + | 0.527476i | 0.983054 | − | 0.183314i | \(-0.0586824\pi\) |
−0.703404 | + | 0.710790i | \(0.748338\pi\) | |||||||
\(620\) | −2.30833 | − | 4.35397i | −0.0927048 | − | 0.174860i | ||||
\(621\) | −0.838752 | − | 0.282608i | −0.0336580 | − | 0.0113407i | ||||
\(622\) | 1.86836 | + | 2.19961i | 0.0749146 | + | 0.0881962i | ||||
\(623\) | 7.11626 | + | 3.29233i | 0.285107 | + | 0.131905i | ||||
\(624\) | 13.2957 | − | 6.15124i | 0.532253 | − | 0.246247i | ||||
\(625\) | −15.0717 | + | 17.7437i | −0.602866 | + | 0.709749i | ||||
\(626\) | 17.3155 | − | 10.4184i | 0.692066 | − | 0.416402i | ||||
\(627\) | 36.0655 | + | 3.92236i | 1.44032 | + | 0.156644i | ||||
\(628\) | 0.675771 | − | 4.12202i | 0.0269662 | − | 0.164487i | ||||
\(629\) | −4.29626 | − | 4.06964i | −0.171303 | − | 0.162267i | ||||
\(630\) | 12.3738 | − | 4.16920i | 0.492982 | − | 0.166105i | ||||
\(631\) | 18.9351 | + | 11.3929i | 0.753795 | + | 0.453543i | 0.839899 | − | 0.542743i | \(-0.182614\pi\) |
−0.0861041 | + | 0.996286i | \(0.527442\pi\) | |||||||
\(632\) | −8.60268 | − | 6.53959i | −0.342196 | − | 0.260131i | ||||
\(633\) | 0.627683 | − | 1.57536i | 0.0249481 | − | 0.0626151i | ||||
\(634\) | −6.11131 | + | 9.01350i | −0.242711 | + | 0.357972i | ||||
\(635\) | 2.95763 | + | 18.0407i | 0.117370 | + | 0.715925i | ||||
\(636\) | −0.0213299 | − | 0.393407i | −0.000845785 | − | 0.0155996i | ||||
\(637\) | 0.215852 | + | 0.0475127i | 0.00855238 | + | 0.00188252i | ||||
\(638\) | 13.2422 | + | 33.2355i | 0.524265 | + | 1.31581i | ||||
\(639\) | −4.11808 | + | 14.8320i | −0.162909 | + | 0.586744i | ||||
\(640\) | 2.31442 | − | 42.6870i | 0.0914855 | − | 1.68735i | ||||
\(641\) | −3.05653 | + | 0.332418i | −0.120726 | + | 0.0131297i | −0.168282 | − | 0.985739i | \(-0.553822\pi\) |
0.0475567 | + | 0.998869i | \(0.484857\pi\) | |||||||
\(642\) | −7.02159 | + | 5.33768i | −0.277120 | + | 0.210661i | ||||
\(643\) | −8.61379 | − | 31.0241i | −0.339695 | − | 1.22347i | −0.914299 | − | 0.405039i | \(-0.867258\pi\) |
0.574605 | − | 0.818431i | \(-0.305156\pi\) | |||||||
\(644\) | 0.773190 | − | 0.170192i | 0.0304680 | − | 0.00670651i | ||||
\(645\) | −12.7652 | − | 18.8273i | −0.502631 | − | 0.741325i | ||||
\(646\) | 17.5083 | − | 16.5847i | 0.688853 | − | 0.652516i | ||||
\(647\) | 10.6699 | − | 20.1255i | 0.419477 | − | 0.791217i | −0.580254 | − | 0.814436i | \(-0.697047\pi\) |
0.999730 | + | 0.0232188i | \(0.00739145\pi\) | |||||||
\(648\) | 2.54282 | 0.0998916 | ||||||||
\(649\) | −10.0802 | + | 43.0256i | −0.395684 | + | 1.68890i | ||||
\(650\) | −26.1412 | −1.02534 | ||||||||
\(651\) | 5.67759 | − | 10.7091i | 0.222522 | − | 0.419722i | ||||
\(652\) | −5.53667 | + | 5.24461i | −0.216833 | + | 0.205395i | ||||
\(653\) | 11.5868 | + | 17.0893i | 0.453427 | + | 0.668755i | 0.983853 | − | 0.178976i | \(-0.0572785\pi\) |
−0.530426 | + | 0.847731i | \(0.677968\pi\) | |||||||
\(654\) | −6.05209 | + | 1.33217i | −0.236656 | + | 0.0520918i | ||||
\(655\) | 11.4919 | + | 41.3901i | 0.449026 | + | 1.61724i | ||||
\(656\) | 45.7763 | − | 34.7983i | 1.78727 | − | 1.35864i | ||||
\(657\) | 4.05955 | − | 0.441502i | 0.158378 | − | 0.0172246i | ||||
\(658\) | 1.34046 | − | 24.7234i | 0.0522567 | − | 0.963818i | ||||
\(659\) | −4.45159 | + | 16.0332i | −0.173409 | + | 0.624564i | 0.824837 | + | 0.565371i | \(0.191267\pi\) |
−0.998247 | + | 0.0591938i | \(0.981147\pi\) | |||||||
\(660\) | 2.30184 | + | 5.77717i | 0.0895989 | + | 0.224876i | ||||
\(661\) | −29.0046 | − | 6.38440i | −1.12815 | − | 0.248325i | −0.388587 | − | 0.921412i | \(-0.627037\pi\) |
−0.739563 | + | 0.673087i | \(0.764968\pi\) | |||||||
\(662\) | −2.10772 | − | 38.8747i | −0.0819190 | − | 1.51091i | ||||
\(663\) | −1.30051 | − | 7.93276i | −0.0505077 | − | 0.308083i | ||||
\(664\) | −21.2060 | + | 31.2765i | −0.822953 | + | 1.21377i | ||||
\(665\) | 19.9380 | − | 50.0405i | 0.773161 | − | 1.94049i | ||||
\(666\) | 2.87811 | + | 2.18788i | 0.111525 | + | 0.0847788i | ||||
\(667\) | −3.08538 | − | 1.85641i | −0.119466 | − | 0.0718805i | ||||
\(668\) | −1.04295 | + | 0.351412i | −0.0403530 | + | 0.0135965i | ||||
\(669\) | 6.13640 | + | 5.81271i | 0.237247 | + | 0.224732i | ||||
\(670\) | −8.40580 | + | 51.2731i | −0.324744 | + | 1.98085i | ||||
\(671\) | −31.1701 | − | 3.38995i | −1.20331 | − | 0.130868i | ||||
\(672\) | −4.29206 | + | 2.58245i | −0.165570 | + | 0.0996200i | ||||
\(673\) | 26.9920 | − | 31.7774i | 1.04046 | − | 1.22493i | 0.0666051 | − | 0.997779i | \(-0.478783\pi\) |
0.973860 | − | 0.227150i | \(-0.0729409\pi\) | |||||||
\(674\) | 2.79818 | − | 1.29457i | 0.107782 | − | 0.0498652i | ||||
\(675\) | −4.83101 | − | 2.23506i | −0.185946 | − | 0.0860276i | ||||
\(676\) | −0.583163 | − | 0.686553i | −0.0224294 | − | 0.0264059i | ||||
\(677\) | 4.38747 | + | 1.47831i | 0.168624 | + | 0.0568161i | 0.402347 | − | 0.915487i | \(-0.368194\pi\) |
−0.233723 | + | 0.972303i | \(0.575091\pi\) | |||||||
\(678\) | 5.95228 | + | 11.2272i | 0.228596 | + | 0.431178i | ||||
\(679\) | −12.2614 | − | 23.1275i | −0.470551 | − | 0.887553i | ||||
\(680\) | −19.3713 | − | 6.52695i | −0.742855 | − | 0.250297i | ||||
\(681\) | 1.36911 | + | 1.61184i | 0.0524644 | + | 0.0617659i | ||||
\(682\) | 36.3857 | + | 16.8338i | 1.39328 | + | 0.644600i | ||||
\(683\) | 30.3671 | − | 14.0493i | 1.16197 | − | 0.537583i | 0.258403 | − | 0.966037i | \(-0.416804\pi\) |
0.903564 | + | 0.428454i | \(0.140942\pi\) | |||||||
\(684\) | −1.37344 | + | 1.61694i | −0.0525147 | + | 0.0618251i | ||||
\(685\) | 55.2822 | − | 33.2622i | 2.11222 | − | 1.27088i | ||||
\(686\) | 28.0030 | + | 3.04551i | 1.06916 | + | 0.116278i | ||||
\(687\) | 3.81063 | − | 23.2438i | 0.145385 | − | 0.886807i | ||||
\(688\) | 23.4362 | + | 22.2000i | 0.893498 | + | 0.846366i | ||||
\(689\) | −3.56548 | + | 1.20135i | −0.135834 | + | 0.0457678i | ||||
\(690\) | −3.72454 | − | 2.24098i | −0.141791 | − | 0.0853126i | ||||
\(691\) | −20.8011 | − | 15.8126i | −0.791312 | − | 0.601540i | 0.129485 | − | 0.991581i | \(-0.458668\pi\) |
−0.920797 | + | 0.390042i | \(0.872461\pi\) | |||||||
\(692\) | −1.28117 | + | 3.21549i | −0.0487027 | + | 0.122235i | ||||
\(693\) | −8.58390 | + | 12.6603i | −0.326075 | + | 0.480925i | ||||
\(694\) | −3.74545 | − | 22.8462i | −0.142175 | − | 0.867231i | ||||
\(695\) | 2.76232 | + | 50.9479i | 0.104781 | + | 1.93257i | ||||
\(696\) | 10.1032 | + | 2.22388i | 0.382960 | + | 0.0842959i | ||||
\(697\) | −11.6788 | − | 29.3115i | −0.442365 | − | 1.11025i | ||||
\(698\) | −6.07799 | + | 21.8910i | −0.230055 | + | 0.828585i | ||||
\(699\) | −0.367449 | + | 6.77719i | −0.0138982 | + | 0.256337i | ||||
\(700\) | 4.73345 | − | 0.514794i | 0.178908 | − | 0.0194574i | ||||
\(701\) | 4.58204 | − | 3.48318i | 0.173061 | − | 0.131558i | −0.515058 | − | 0.857155i | \(-0.672230\pi\) |
0.688119 | + | 0.725597i | \(0.258437\pi\) | |||||||
\(702\) | 1.31383 | + | 4.73200i | 0.0495874 | + | 0.178598i | ||||
\(703\) | 14.5658 | − | 3.20617i | 0.549359 | − | 0.120923i | ||||
\(704\) | 20.1450 | + | 29.7116i | 0.759242 | + | 1.11980i | ||||
\(705\) | −14.2112 | + | 13.4616i | −0.535226 | + | 0.506993i | ||||
\(706\) | 17.8437 | − | 33.6568i | 0.671556 | − | 1.26669i | ||||
\(707\) | −21.8236 | −0.820760 | ||||||||
\(708\) | −1.75173 | − | 1.89991i | −0.0658341 | − | 0.0714028i | ||||
\(709\) | 20.4953 | 0.769716 | 0.384858 | − | 0.922976i | \(-0.374250\pi\) | ||||
0.384858 | + | 0.922976i | \(0.374250\pi\) | |||||||
\(710\) | −35.4103 | + | 66.7909i | −1.32892 | + | 2.50662i | ||||
\(711\) | 3.08523 | − | 2.92248i | 0.115705 | − | 0.109602i | ||||
\(712\) | 4.20843 | + | 6.20697i | 0.157718 | + | 0.232616i | ||||
\(713\) | −3.94073 | + | 0.867421i | −0.147582 | + | 0.0324852i | ||||
\(714\) | 2.72026 | + | 9.79748i | 0.101803 | + | 0.366661i | ||||
\(715\) | 47.2785 | − | 35.9402i | 1.76812 | − | 1.34409i | ||||
\(716\) | −4.16026 | + | 0.452455i | −0.155476 | + | 0.0169090i | ||||
\(717\) | −0.519251 | + | 9.57703i | −0.0193918 | + | 0.357661i | ||||
\(718\) | 4.44549 | − | 16.0112i | 0.165904 | − | 0.597533i | ||||
\(719\) | 2.52687 | + | 6.34197i | 0.0942364 | + | 0.236516i | 0.968537 | − | 0.248869i | \(-0.0800589\pi\) |
−0.874301 | + | 0.485385i | \(0.838680\pi\) | |||||||
\(720\) | 14.3075 | + | 3.14931i | 0.533208 | + | 0.117368i | ||||
\(721\) | 1.63144 | + | 30.0901i | 0.0607579 | + | 1.12061i | ||||
\(722\) | 5.13458 | + | 31.3195i | 0.191089 | + | 1.16559i | ||||
\(723\) | 4.16375 | − | 6.14107i | 0.154851 | − | 0.228389i | ||||
\(724\) | −1.14743 | + | 2.87983i | −0.0426439 | + | 0.107028i | ||||
\(725\) | −17.2399 | − | 13.1054i | −0.640274 | − | 0.486724i | ||||
\(726\) | −28.9433 | − | 17.4146i | −1.07419 | − | 0.646317i | ||||
\(727\) | −33.4903 | + | 11.2842i | −1.24209 | + | 0.418507i | −0.862220 | − | 0.506534i | \(-0.830926\pi\) |
−0.379866 | + | 0.925042i | \(0.624030\pi\) | |||||||
\(728\) | 15.7694 | + | 14.9376i | 0.584454 | + | 0.553624i | ||||
\(729\) | −0.161782 | + | 0.986827i | −0.00599193 | + | 0.0365491i | ||||
\(730\) | 19.9369 | + | 2.16827i | 0.737897 | + | 0.0802511i | ||||
\(731\) | 15.1781 | − | 9.13237i | 0.561383 | − | 0.337773i | ||||
\(732\) | 1.18701 | − | 1.39746i | 0.0438732 | − | 0.0516515i | ||||
\(733\) | 5.21119 | − | 2.41095i | 0.192480 | − | 0.0890506i | −0.321282 | − | 0.946984i | \(-0.604114\pi\) |
0.513762 | + | 0.857933i | \(0.328252\pi\) | |||||||
\(734\) | −42.6093 | − | 19.7132i | −1.57274 | − | 0.727627i | ||||
\(735\) | 0.143088 | + | 0.168456i | 0.00527789 | + | 0.00621361i | ||||
\(736\) | 1.58022 | + | 0.532439i | 0.0582478 | + | 0.0196260i | ||||
\(737\) | −28.5101 | − | 53.7757i | −1.05018 | − | 1.98085i | ||||
\(738\) | 9.02910 | + | 17.0307i | 0.332366 | + | 0.626908i | ||||
\(739\) | −1.33483 | − | 0.449756i | −0.0491025 | − | 0.0165446i | 0.294643 | − | 0.955607i | \(-0.404799\pi\) |
−0.343746 | + | 0.939063i | \(0.611696\pi\) | |||||||
\(740\) | 1.65515 | + | 1.94859i | 0.0608444 | + | 0.0716316i | ||||
\(741\) | 18.3873 | + | 8.50686i | 0.675474 | + | 0.312507i | ||||
\(742\) | 4.31924 | − | 1.99829i | 0.158564 | − | 0.0733597i | ||||
\(743\) | 4.07308 | − | 4.79521i | 0.149427 | − | 0.175919i | −0.682356 | − | 0.731020i | \(-0.739045\pi\) |
0.831783 | + | 0.555101i | \(0.187320\pi\) | |||||||
\(744\) | 9.93326 | − | 5.97664i | 0.364171 | − | 0.219114i | ||||
\(745\) | −30.7115 | − | 3.34007i | −1.12518 | − | 0.122371i | ||||
\(746\) | −8.03259 | + | 48.9966i | −0.294094 | + | 1.79389i | ||||
\(747\) | −10.7887 | − | 10.2196i | −0.394738 | − | 0.373916i | ||||
\(748\) | −4.58931 | + | 1.54632i | −0.167802 | + | 0.0565391i | ||||
\(749\) | −13.1455 | − | 7.90936i | −0.480325 | − | 0.289002i | ||||
\(750\) | −1.26276 | − | 0.959927i | −0.0461095 | − | 0.0350516i | ||||
\(751\) | 4.25358 | − | 10.6757i | 0.155215 | − | 0.389561i | −0.830720 | − | 0.556691i | \(-0.812071\pi\) |
0.985935 | + | 0.167130i | \(0.0534500\pi\) | |||||||
\(752\) | 15.5897 | − | 22.9931i | 0.568498 | − | 0.838472i | ||||
\(753\) | −1.53089 | − | 9.33799i | −0.0557886 | − | 0.340295i | ||||
\(754\) | 1.08167 | + | 19.9503i | 0.0393922 | + | 0.726546i | ||||
\(755\) | −40.3627 | − | 8.88450i | −1.46895 | − | 0.323340i | ||||
\(756\) | −0.331086 | − | 0.830962i | −0.0120415 | − | 0.0302218i | ||||
\(757\) | 7.28416 | − | 26.2352i | 0.264747 | − | 0.953534i | −0.704956 | − | 0.709251i | \(-0.749033\pi\) |
0.969704 | − | 0.244283i | \(-0.0785527\pi\) | |||||||
\(758\) | 1.99719 | − | 36.8359i | 0.0725411 | − | 1.33794i | ||||
\(759\) | 5.06215 | − | 0.550542i | 0.183744 | − | 0.0199834i | ||||
\(760\) | 41.0133 | − | 31.1775i | 1.48771 | − | 1.13093i | ||||
\(761\) | −5.12787 | − | 18.4689i | −0.185885 | − | 0.669498i | −0.996476 | − | 0.0838842i | \(-0.973267\pi\) |
0.810590 | − | 0.585614i | \(-0.199146\pi\) | |||||||
\(762\) | 8.49403 | − | 1.86968i | 0.307706 | − | 0.0677312i | ||||
\(763\) | −6.04899 | − | 8.92159i | −0.218988 | − | 0.322983i | ||||
\(764\) | 1.41196 | − | 1.33748i | 0.0510830 | − | 0.0483884i | ||||
\(765\) | 3.76546 | − | 7.10241i | 0.136140 | − | 0.256788i | ||||
\(766\) | 2.18519 | 0.0789540 | ||||||||
\(767\) | −13.0068 | + | 20.9726i | −0.469650 | + | 0.757278i | ||||
\(768\) | −7.85881 | −0.283581 | ||||||||
\(769\) | 0.264821 | − | 0.499505i | 0.00954968 | − | 0.0180126i | −0.878691 | − | 0.477390i | \(-0.841583\pi\) |
0.888241 | + | 0.459378i | \(0.151928\pi\) | |||||||
\(770\) | −54.5369 | + | 51.6601i | −1.96537 | + | 1.86170i | ||||
\(771\) | −0.842690 | − | 1.24288i | −0.0303487 | − | 0.0447611i | ||||
\(772\) | 1.05366 | − | 0.231927i | 0.0379219 | − | 0.00834725i | ||||
\(773\) | −4.50602 | − | 16.2292i | −0.162070 | − | 0.583724i | −0.999319 | − | 0.0369019i | \(-0.988251\pi\) |
0.837249 | − | 0.546822i | \(-0.184163\pi\) | |||||||
\(774\) | −8.61509 | + | 6.54902i | −0.309663 | + | 0.235400i | ||||
\(775\) | −24.1251 | + | 2.62376i | −0.866598 | + | 0.0942482i | ||||
\(776\) | 1.35541 | − | 24.9990i | 0.0486563 | − | 0.897412i | ||||
\(777\) | −1.68232 | + | 6.05918i | −0.0603530 | + | 0.217372i | ||||
\(778\) | −4.14146 | − | 10.3943i | −0.148479 | − | 0.372653i | ||||
\(779\) | 77.6622 | + | 17.0947i | 2.78254 | + | 0.612483i | ||||
\(780\) | 0.188022 | + | 3.46787i | 0.00673228 | + | 0.124170i | ||||
\(781\) | −14.3271 | − | 87.3917i | −0.512665 | − | 3.12712i | ||||
\(782\) | 1.89959 | − | 2.80168i | 0.0679291 | − | 0.100188i | ||||
\(783\) | −1.50584 | + | 3.77938i | −0.0538145 | + | 0.135064i | ||||
\(784\) | −0.249710 | − | 0.189825i | −0.00891822 | − | 0.00677946i | ||||
\(785\) | −34.1804 | − | 20.5657i | −1.21995 | − | 0.734020i | ||||
\(786\) | 19.3663 | − | 6.52526i | 0.690772 | − | 0.232748i | ||||
\(787\) | 24.2289 | + | 22.9509i | 0.863668 | + | 0.818110i | 0.984649 | − | 0.174545i | \(-0.0558453\pi\) |
−0.120981 | + | 0.992655i | \(0.538604\pi\) | |||||||
\(788\) | −0.167107 | + | 1.01931i | −0.00595295 | + | 0.0363114i | ||||
\(789\) | 9.17121 | + | 0.997429i | 0.326504 | + | 0.0355094i | ||||
\(790\) | 17.8830 | − | 10.7599i | 0.636250 | − | 0.382819i | ||||
\(791\) | −14.3093 | + | 16.8462i | −0.508780 | + | 0.598982i | ||||
\(792\) | −13.2771 | + | 6.14264i | −0.471781 | + | 0.218269i | ||||
\(793\) | −15.8914 | − | 7.35217i | −0.564322 | − | 0.261083i | ||||
\(794\) | 3.47102 | + | 4.08640i | 0.123182 | + | 0.145021i | ||||
\(795\) | −3.56556 | − | 1.20138i | −0.126457 | − | 0.0426084i | ||||
\(796\) | 3.32583 | + | 6.27318i | 0.117881 | + | 0.222347i | ||||
\(797\) | −1.34956 | − | 2.54553i | −0.0478038 | − | 0.0901674i | 0.858459 | − | 0.512882i | \(-0.171422\pi\) |
−0.906263 | + | 0.422714i | \(0.861077\pi\) | |||||||
\(798\) | −24.2851 | − | 8.18262i | −0.859685 | − | 0.289661i | ||||
\(799\) | −9.86846 | − | 11.6181i | −0.349121 | − | 0.411017i | ||||
\(800\) | 9.10169 | + | 4.21089i | 0.321793 | + | 0.148878i | ||||
\(801\) | −2.67657 | + | 1.23831i | −0.0945721 | + | 0.0437537i | ||||
\(802\) | −16.4865 | + | 19.4094i | −0.582157 | + | 0.685369i | ||||
\(803\) | −20.1300 | + | 12.1118i | −0.710372 | + | 0.427417i | ||||
\(804\) | 3.53850 | + | 0.384835i | 0.124793 | + | 0.0135721i | ||||
\(805\) | 1.22318 | − | 7.46105i | 0.0431113 | − | 0.262968i | ||||
\(806\) | 16.2544 | + | 15.3970i | 0.572537 | + | 0.542336i | ||||
\(807\) | 27.3827 | − | 9.22631i | 0.963917 | − | 0.324781i | ||||
\(808\) | −17.8846 | − | 10.7608i | −0.629176 | − | 0.378563i | ||||
\(809\) | −22.1653 | − | 16.8496i | −0.779289 | − | 0.592400i | 0.138088 | − | 0.990420i | \(-0.455904\pi\) |
−0.917377 | + | 0.398020i | \(0.869697\pi\) | |||||||
\(810\) | −1.81779 | + | 4.56231i | −0.0638706 | + | 0.160303i | ||||
\(811\) | −24.2265 | + | 35.7314i | −0.850707 | + | 1.25470i | 0.114556 | + | 0.993417i | \(0.463456\pi\) |
−0.965263 | + | 0.261282i | \(0.915855\pi\) | |||||||
\(812\) | −0.588739 | − | 3.59115i | −0.0206607 | − | 0.126025i | ||||
\(813\) | −0.722922 | − | 13.3335i | −0.0253540 | − | 0.467627i | ||||
\(814\) | −20.3130 | − | 4.47123i | −0.711970 | − | 0.156716i | ||||
\(815\) | 26.9573 | + | 67.6578i | 0.944275 | + | 2.36995i | ||||
\(816\) | −3.05207 | + | 10.9926i | −0.106844 | + | 0.384817i | ||||
\(817\) | −2.41696 | + | 44.5783i | −0.0845588 | + | 1.55960i | ||||
\(818\) | 13.8755 | − | 1.50905i | 0.485146 | − | 0.0527628i | ||||
\(819\) | −6.80033 | + | 5.16947i | −0.237623 | + | 0.180636i | ||||
\(820\) | 3.64686 | + | 13.1348i | 0.127354 | + | 0.458687i | ||||
\(821\) | −48.5719 | + | 10.6915i | −1.69517 | + | 0.373135i | −0.954379 | − | 0.298599i | \(-0.903481\pi\) |
−0.740792 | + | 0.671734i | \(0.765550\pi\) | |||||||
\(822\) | −17.2250 | − | 25.4049i | −0.600790 | − | 0.886099i | ||||
\(823\) | −18.7303 | + | 17.7423i | −0.652897 | + | 0.618457i | −0.940703 | − | 0.339232i | \(-0.889833\pi\) |
0.287805 | + | 0.957689i | \(0.407074\pi\) | |||||||
\(824\) | −13.4999 | + | 25.4634i | −0.470290 | + | 0.887060i | ||||
\(825\) | 30.6238 | 1.06618 | ||||||||
\(826\) | 13.4877 | − | 28.1516i | 0.469297 | − | 0.979520i | ||||
\(827\) | 3.81574 | 0.132686 | 0.0663432 | − | 0.997797i | \(-0.478867\pi\) | ||||
0.0663432 | + | 0.997797i | \(0.478867\pi\) | |||||||
\(828\) | −0.139480 | + | 0.263088i | −0.00484727 | + | 0.00914293i | ||||
\(829\) | −1.92099 | + | 1.81965i | −0.0667186 | + | 0.0631992i | −0.720332 | − | 0.693629i | \(-0.756011\pi\) |
0.653614 | + | 0.756828i | \(0.273252\pi\) | |||||||
\(830\) | −40.9565 | − | 60.4063i | −1.42162 | − | 2.09673i | ||||
\(831\) | 4.30063 | − | 0.946639i | 0.149187 | − | 0.0328386i | ||||
\(832\) | 5.36313 | + | 19.3162i | 0.185933 | + | 0.669670i | ||||
\(833\) | −0.137023 | + | 0.104162i | −0.00474755 | + | 0.00360899i | ||||
\(834\) | 24.1315 | − | 2.62446i | 0.835607 | − | 0.0908777i | ||||
\(835\) | −0.569014 | + | 10.4949i | −0.0196916 | + | 0.363189i | ||||
\(836\) | 3.26527 | − | 11.7604i | 0.112932 | − | 0.406744i | ||||
\(837\) | 1.68745 | + | 4.23518i | 0.0583268 | + | 0.146389i | ||||
\(838\) | 4.60697 | + | 1.01407i | 0.159145 | + | 0.0350305i | ||||
\(839\) | 1.93527 | + | 35.6939i | 0.0668129 | + | 1.23229i | 0.819176 | + | 0.573542i | \(0.194431\pi\) |
−0.752363 | + | 0.658749i | \(0.771086\pi\) | |||||||
\(840\) | 3.51416 | + | 21.4354i | 0.121250 | + | 0.739593i | ||||
\(841\) | 6.98605 | − | 10.3037i | 0.240898 | − | 0.355299i | ||||
\(842\) | 5.29271 | − | 13.2837i | 0.182399 | − | 0.457787i | ||||
\(843\) | 16.6347 | + | 12.6454i | 0.572931 | + | 0.435531i | ||||
\(844\) | −0.488864 | − | 0.294140i | −0.0168274 | − | 0.0101247i | ||||
\(845\) | −8.15220 | + | 2.74680i | −0.280444 | + | 0.0944927i | ||||
\(846\) | 6.76093 | + | 6.40430i | 0.232446 | + | 0.220184i | ||||
\(847\) | 9.50530 | − | 57.9797i | 0.326606 | − | 1.99221i | ||||
\(848\) | 5.30832 | + | 0.577314i | 0.182288 | + | 0.0198250i | ||||
\(849\) | 2.81353 | − | 1.69285i | 0.0965602 | − | 0.0580983i | ||||
\(850\) | 13.1791 | − | 15.5156i | 0.452040 | − | 0.532182i | ||||
\(851\) | 1.89991 | − | 0.878993i | 0.0651282 | − | 0.0301315i | ||||
\(852\) | 4.70015 | + | 2.17452i | 0.161024 | + | 0.0744979i | ||||
\(853\) | −31.5837 | − | 37.1832i | −1.08141 | − | 1.27313i | −0.959841 | − | 0.280546i | \(-0.909485\pi\) |
−0.121565 | − | 0.992583i | \(-0.538791\pi\) | |||||||
\(854\) | 20.9887 | + | 7.07193i | 0.718220 | + | 0.241997i | ||||
\(855\) | 9.49006 | + | 17.9001i | 0.324553 | + | 0.612172i | ||||
\(856\) | −6.87283 | − | 12.9635i | −0.234909 | − | 0.443085i | ||||
\(857\) | 3.62202 | + | 1.22040i | 0.123726 | + | 0.0416881i | 0.380483 | − | 0.924788i | \(-0.375758\pi\) |
−0.256757 | + | 0.966476i | \(0.582654\pi\) | |||||||
\(858\) | −18.2910 | − | 21.5339i | −0.624445 | − | 0.735154i | ||||
\(859\) | 30.9925 | + | 14.3386i | 1.05745 | + | 0.489228i | 0.870003 | − | 0.493047i | \(-0.164117\pi\) |
0.187446 | + | 0.982275i | \(0.439979\pi\) | |||||||
\(860\) | −6.94557 | + | 3.21336i | −0.236842 | + | 0.109575i | ||||
\(861\) | −21.7059 | + | 25.5542i | −0.739736 | + | 0.870885i | ||||
\(862\) | −25.6946 | + | 15.4599i | −0.875161 | + | 0.526567i | ||||
\(863\) | −15.2078 | − | 1.65394i | −0.517679 | − | 0.0563009i | −0.154449 | − | 0.988001i | \(-0.549360\pi\) |
−0.363229 | + | 0.931700i | \(0.618326\pi\) | |||||||
\(864\) | 0.304800 | − | 1.85920i | 0.0103695 | − | 0.0632512i | ||||
\(865\) | 23.9980 | + | 22.7321i | 0.815957 | + | 0.772915i | ||||
\(866\) | −40.1616 | + | 13.5320i | −1.36475 | + | 0.459836i | ||||
\(867\) | −9.20257 | − | 5.53700i | −0.312536 | − | 0.188046i | ||||
\(868\) | −3.24644 | − | 2.46788i | −0.110191 | − | 0.0837653i | ||||
\(869\) | −9.04944 | + | 22.7124i | −0.306981 | + | 0.770464i | ||||
\(870\) | −11.2125 | + | 16.5372i | −0.380140 | + | 0.560665i | ||||
\(871\) | −5.49911 | − | 33.5431i | −0.186330 | − | 1.13656i | ||||
\(872\) | −0.558121 | − | 10.2939i | −0.0189004 | − | 0.348597i | ||||
\(873\) | 9.61545 | + | 2.11652i | 0.325434 | + | 0.0716334i | ||||
\(874\) | 3.15767 | + | 7.92515i | 0.106810 | + | 0.268072i | ||||
\(875\) | 0.738113 | − | 2.65844i | 0.0249528 | − | 0.0898718i | ||||
\(876\) | 0.0743779 | − | 1.37182i | 0.00251300 | − | 0.0463495i | ||||
\(877\) | −20.1827 | + | 2.19500i | −0.681521 | + | 0.0741199i | −0.442330 | − | 0.896852i | \(-0.645848\pi\) |
−0.239192 | + | 0.970972i | \(0.576882\pi\) | |||||||
\(878\) | −6.25773 | + | 4.75700i | −0.211188 | + | 0.160541i | ||||
\(879\) | 4.41427 | + | 15.8988i | 0.148890 | + | 0.536252i | ||||
\(880\) | −82.3128 | + | 18.1184i | −2.77476 | + | 0.610772i | ||||
\(881\) | 15.4322 | + | 22.7608i | 0.519923 | + | 0.766830i | 0.993489 | − | 0.113929i | \(-0.0363436\pi\) |
−0.473565 | + | 0.880759i | \(0.657033\pi\) | |||||||
\(882\) | 0.0763394 | − | 0.0723125i | 0.00257048 | − | 0.00243489i | ||||
\(883\) | −6.79219 | + | 12.8114i | −0.228575 | + | 0.431139i | −0.971098 | − | 0.238682i | \(-0.923284\pi\) |
0.742522 | + | 0.669821i | \(0.233629\pi\) | |||||||
\(884\) | −2.70450 | −0.0909623 | ||||||||
\(885\) | −23.0473 | + | 8.82497i | −0.774725 | + | 0.296648i | ||||
\(886\) | 57.8350 | 1.94301 | ||||||||
\(887\) | 12.5639 | − | 23.6980i | 0.421853 | − | 0.795700i | −0.577939 | − | 0.816080i | \(-0.696143\pi\) |
0.999792 | + | 0.0203803i | \(0.00648769\pi\) | |||||||
\(888\) | −4.36633 | + | 4.13601i | −0.146525 | + | 0.138795i | ||||
\(889\) | 8.48967 | + | 12.5213i | 0.284735 | + | 0.419952i | ||||
\(890\) | −14.1450 | + | 3.11354i | −0.474140 | + | 0.104366i | ||||
\(891\) | −1.53913 | − | 5.54343i | −0.0515626 | − | 0.185712i | ||||
\(892\) | 2.26385 | − | 1.72093i | 0.0757993 | − | 0.0576211i | ||||
\(893\) | 38.1930 | − | 4.15374i | 1.27808 | − | 0.139000i | ||||
\(894\) | −0.795679 | + | 14.6754i | −0.0266115 | + | 0.490820i | ||||
\(895\) | −10.6916 | + | 38.5076i | −0.357380 | + | 1.28717i | ||||
\(896\) | −13.0938 | − | 32.8630i | −0.437434 | − | 1.09788i | ||||
\(897\) | 2.77718 | + | 0.611303i | 0.0927272 | + | 0.0204108i | ||||
\(898\) | −2.39485 | − | 44.1704i | −0.0799171 | − | 1.47398i | ||||
\(899\) | 3.00063 | + | 18.3031i | 0.100077 | + | 0.610441i | ||||
\(900\) | −1.00500 | + | 1.48227i | −0.0335000 | + | 0.0494088i | ||||
\(901\) | 1.08450 | − | 2.72189i | 0.0361299 | − | 0.0906793i | ||||
\(902\) | −88.2851 | − | 67.1126i | −2.93957 | − | 2.23461i | ||||
\(903\) | −16.1287 | − | 9.70433i | −0.536730 | − | 0.322940i | ||||
\(904\) | −20.0331 | + | 6.74993i | −0.666290 | + | 0.224499i | ||||
\(905\) | 21.4929 | + | 20.3592i | 0.714448 | + | 0.676761i | ||||
\(906\) | −3.18096 | + | 19.4030i | −0.105680 | + | 0.644622i | ||||
\(907\) | 12.1293 | + | 1.31914i | 0.402747 | + | 0.0438013i | 0.307251 | − | 0.951629i | \(-0.400591\pi\) |
0.0954956 | + | 0.995430i | \(0.469556\pi\) | |||||||
\(908\) | 0.609660 | − | 0.366820i | 0.0202323 | − | 0.0121733i | ||||
\(909\) | 5.31394 | − | 6.25606i | 0.176252 | − | 0.207500i | ||||
\(910\) | −38.0740 | + | 17.6149i | −1.26214 | + | 0.583928i | ||||
\(911\) | −38.9142 | − | 18.0036i | −1.28928 | − | 0.596487i | −0.349079 | − | 0.937093i | \(-0.613505\pi\) |
−0.940206 | + | 0.340607i | \(0.889368\pi\) | |||||||
\(912\) | −18.6140 | − | 21.9141i | −0.616371 | − | 0.725648i | ||||
\(913\) | 81.0194 | + | 27.2986i | 2.68135 | + | 0.903452i | ||||
\(914\) | 11.4746 | + | 21.6434i | 0.379546 | + | 0.715900i | ||||
\(915\) | −8.20191 | − | 15.4704i | −0.271147 | − | 0.511437i | ||||
\(916\) | −7.50966 | − | 2.53030i | −0.248126 | − | 0.0836034i | ||||
\(917\) | 23.0121 | + | 27.0919i | 0.759926 | + | 0.894654i | ||||
\(918\) | −3.47096 | − | 1.60584i | −0.114559 | − | 0.0530006i | ||||
\(919\) | 37.1819 | − | 17.2022i | 1.22652 | − | 0.567448i | 0.303731 | − | 0.952758i | \(-0.401768\pi\) |
0.922787 | + | 0.385310i | \(0.125906\pi\) | |||||||
\(920\) | 4.68130 | − | 5.51125i | 0.154338 | − | 0.181701i | ||||
\(921\) | 24.3496 | − | 14.6506i | 0.802345 | − | 0.482755i | ||||
\(922\) | 42.0695 | + | 4.57534i | 1.38549 | + | 0.150681i | ||||
\(923\) | 8.00108 | − | 48.8044i | 0.263359 | − | 1.60642i | ||||
\(924\) | 3.73607 | + | 3.53899i | 0.122908 | + | 0.116424i | ||||
\(925\) | 11.9308 | − | 4.01997i | 0.392284 | − | 0.132176i | ||||
\(926\) | 45.1929 | + | 27.1917i | 1.48513 | + | 0.893574i | ||||
\(927\) | −9.02302 | − | 6.85912i | −0.296355 | − | 0.225283i | ||||
\(928\) | 2.83703 | − | 7.12041i | 0.0931302 | − | 0.233739i | ||||
\(929\) | −1.93071 | + | 2.84759i | −0.0633446 | + | 0.0934263i | −0.858042 | − | 0.513579i | \(-0.828319\pi\) |
0.794697 | + | 0.607006i | \(0.207630\pi\) | |||||||
\(930\) | 3.62224 | + | 22.0947i | 0.118778 | + | 0.724513i | ||||
\(931\) | −0.0234849 | − | 0.433153i | −0.000769686 | − | 0.0141960i | ||||
\(932\) | 2.23006 | + | 0.490874i | 0.0730481 | + | 0.0160791i | ||||
\(933\) | −0.698851 | − | 1.75398i | −0.0228794 | − | 0.0574229i | ||||
\(934\) | −8.32148 | + | 29.9712i | −0.272287 | + | 0.980689i | ||||
\(935\) | −2.50384 | + | 46.1806i | −0.0818843 | + | 1.51027i | ||||
\(936\) | −8.12187 | + | 0.883307i | −0.265472 | + | 0.0288718i | ||||
\(937\) | −32.2833 | + | 24.5411i | −1.05465 | + | 0.801723i | −0.980696 | − | 0.195539i | \(-0.937354\pi\) |
−0.0739522 | + | 0.997262i | \(0.523561\pi\) | |||||||
\(938\) | 11.5024 | + | 41.4279i | 0.375567 | + | 1.35267i | ||||
\(939\) | −12.9115 | + | 2.84203i | −0.421349 | + | 0.0927460i | ||||
\(940\) | 3.69581 | + | 5.45091i | 0.120544 | + | 0.177789i | ||||
\(941\) | −34.5609 | + | 32.7378i | −1.12665 | + | 1.06722i | −0.129518 | + | 0.991577i | \(0.541343\pi\) |
−0.997135 | + | 0.0756448i | \(0.975899\pi\) | |||||||
\(942\) | −8.88930 | + | 16.7670i | −0.289629 | + | 0.546298i | ||||
\(943\) | 11.1616 | 0.363472 | ||||||||
\(944\) | 29.2508 | − | 19.2625i | 0.952033 | − | 0.626940i | ||||
\(945\) | −8.54231 | −0.277881 | ||||||||
\(946\) | 29.1625 | − | 55.0063i | 0.948155 | − | 1.78841i | ||||
\(947\) | 0.638151 | − | 0.604489i | 0.0207371 | − | 0.0196432i | −0.677261 | − | 0.735743i | \(-0.736833\pi\) |
0.697998 | + | 0.716100i | \(0.254074\pi\) | |||||||
\(948\) | −0.802352 | − | 1.18338i | −0.0260592 | − | 0.0384344i | ||||
\(949\) | −12.8130 | + | 2.82035i | −0.415927 | + | 0.0915524i | ||||
\(950\) | 13.7260 | + | 49.4365i | 0.445330 | + | 1.60393i | ||||
\(951\) | 5.67170 | − | 4.31151i | 0.183917 | − | 0.139810i | ||||
\(952\) | −16.8161 | + | 1.82886i | −0.545014 | + | 0.0592738i | ||||
\(953\) | 0.0748442 | − | 1.38042i | 0.00242444 | − | 0.0447162i | −0.997071 | − | 0.0764834i | \(-0.975631\pi\) |
0.999495 | + | 0.0317672i | \(0.0101135\pi\) | |||||||
\(954\) | −0.478875 | + | 1.72475i | −0.0155042 | + | 0.0558409i | ||||
\(955\) | −6.87467 | − | 17.2541i | −0.222459 | − | 0.558330i | ||||
\(956\) | 3.15136 | + | 0.693666i | 0.101922 | + | 0.0224348i | ||||
\(957\) | −1.26715 | − | 23.3713i | −0.0409613 | − | 0.755487i | ||||
\(958\) | −4.37277 | − | 26.6727i | −0.141278 | − | 0.861757i | ||||
\(959\) | 29.9609 | − | 44.1890i | 0.967486 | − | 1.42694i | ||||
\(960\) | −7.42030 | + | 18.6235i | −0.239489 | + | 0.601072i | ||||
\(961\) | −8.13270 | − | 6.18232i | −0.262345 | − | 0.199430i | ||||
\(962\) | −9.95280 | − | 5.98840i | −0.320891 | − | 0.193074i | ||||
\(963\) | 5.46820 | − | 1.84245i | 0.176210 | − | 0.0593721i | ||||
\(964\) | −1.81223 | − | 1.71664i | −0.0583681 | − | 0.0552892i | ||||
\(965\) | 1.66687 | − | 10.1675i | 0.0536585 | − | 0.327302i | ||||
\(966\) | −3.57586 | − | 0.388898i | −0.115051 | − | 0.0125126i | ||||
\(967\) | −50.4215 | + | 30.3376i | −1.62145 | + | 0.975592i | −0.643838 | + | 0.765162i | \(0.722659\pi\) |
−0.977609 | + | 0.210430i | \(0.932514\pi\) | |||||||
\(968\) | 36.3783 | − | 42.8279i | 1.16924 | − | 1.37654i | ||||
\(969\) | −14.3191 | + | 6.62471i | −0.459995 | + | 0.212816i | ||||
\(970\) | 43.8840 | + | 20.3029i | 1.40903 | + | 0.651887i | ||||
\(971\) | 10.4243 | + | 12.2724i | 0.334531 | + | 0.393840i | 0.903549 | − | 0.428485i | \(-0.140952\pi\) |
−0.569018 | + | 0.822325i | \(0.692677\pi\) | |||||||
\(972\) | 0.318826 | + | 0.107425i | 0.0102263 | + | 0.00344565i | ||||
\(973\) | 19.7769 | + | 37.3032i | 0.634019 | + | 1.19589i | ||||
\(974\) | −4.10573 | − | 7.74422i | −0.131556 | − | 0.248141i | ||||
\(975\) | 16.2068 | + | 5.46071i | 0.519034 | + | 0.174883i | ||||
\(976\) | 16.0874 | + | 18.9395i | 0.514945 | + | 0.606240i | ||||
\(977\) | 8.52578 | + | 3.94445i | 0.272764 | + | 0.126194i | 0.551503 | − | 0.834173i | \(-0.314054\pi\) |
−0.278739 | + | 0.960367i | \(0.589917\pi\) | |||||||
\(978\) | 31.4464 | − | 14.5486i | 1.00554 | − | 0.465214i | ||||
\(979\) | 10.9841 | − | 12.9315i | 0.351053 | − | 0.413292i | ||||
\(980\) | 0.0637166 | − | 0.0383370i | 0.00203535 | − | 0.00122463i | ||||
\(981\) | 4.03041 | + | 0.438334i | 0.128681 | + | 0.0139949i | ||||
\(982\) | −1.44680 | + | 8.82510i | −0.0461693 | + | 0.281620i | ||||
\(983\) | 3.79088 | + | 3.59091i | 0.120910 | + | 0.114532i | 0.745766 | − | 0.666208i | \(-0.232084\pi\) |
−0.624856 | + | 0.780740i | \(0.714842\pi\) | |||||||
\(984\) | −30.3884 | + | 10.2391i | −0.968748 | + | 0.326409i | ||||
\(985\) | 8.45224 | + | 5.08555i | 0.269311 | + | 0.162039i | ||||
\(986\) | −12.3865 | − | 9.41594i | −0.394465 | − | 0.299865i | ||||
\(987\) | −5.99559 | + | 15.0478i | −0.190842 | + | 0.478977i | ||||
\(988\) | 3.82513 | − | 5.64165i | 0.121694 | − | 0.179485i | ||||
\(989\) | 1.01376 | + | 6.18364i | 0.0322356 | + | 0.196628i | ||||
\(990\) | −1.52965 | − | 28.2128i | −0.0486156 | − | 0.896662i | ||||
\(991\) | 21.2994 | + | 4.68835i | 0.676598 | + | 0.148931i | 0.539960 | − | 0.841691i | \(-0.318439\pi\) |
0.136638 | + | 0.990621i | \(0.456370\pi\) | |||||||
\(992\) | −3.17918 | − | 7.97914i | −0.100939 | − | 0.253338i | ||||
\(993\) | −6.81391 | + | 24.5415i | −0.216233 | + | 0.778801i | ||||
\(994\) | −3.38676 | + | 62.4651i | −0.107421 | + | 1.98127i | ||||
\(995\) | 67.4095 | − | 7.33122i | 2.13702 | − | 0.232415i | ||||
\(996\) | −3.98018 | + | 3.02566i | −0.126117 | + | 0.0958716i | ||||
\(997\) | 2.87921 | + | 10.3700i | 0.0911854 | + | 0.328420i | 0.995047 | − | 0.0994046i | \(-0.0316938\pi\) |
−0.903862 | + | 0.427825i | \(0.859280\pi\) | |||||||
\(998\) | 42.8514 | − | 9.43231i | 1.35644 | − | 0.298575i | ||||
\(999\) | −1.32732 | − | 1.95764i | −0.0419944 | − | 0.0619371i |
(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 | 177.2.e.b.19.2 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.b.19.4 | 140 | |||
59.28 | even | 29 | inner | 177.2.e.b.28.2 | yes | 140 | |
177.146 | odd | 58 | 531.2.i.b.28.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.19.2 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.b.28.2 | yes | 140 | 59.28 | even | 29 | inner | |
531.2.i.b.19.4 | 140 | 3.2 | odd | 2 | |||
531.2.i.b.28.4 | 140 | 177.146 | odd | 58 |