Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 8 x^{18} - 32 x^{17} + 277 x^{16} - 1138 x^{15} + 2950 x^{14} - 6404 x^{13} + 24088 x^{12} - 93423 x^{11} + 318055 x^{10} - 798006 x^{9} + 1869818 x^{8} + \cdots + 7921 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(0.271421 + 1.88778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.271 |
Dual form | 690.2.m.d.331.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | − | 0.281733i | −0.678464 | − | 0.199215i | ||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | 0.142315 | − | 0.989821i | 0.0636451 | − | 0.442662i | ||||
\(6\) | −0.841254 | + | 0.540641i | −0.343440 | + | 0.220716i | ||||
\(7\) | −1.00994 | − | 2.21146i | −0.381721 | − | 0.835853i | −0.998801 | − | 0.0489526i | \(-0.984412\pi\) |
0.617080 | − | 0.786901i | \(-0.288316\pi\) | |||||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.415415 | + | 0.909632i | −0.131366 | + | 0.287651i | ||||
\(11\) | −0.211740 | + | 0.0621724i | −0.0638420 | + | 0.0187457i | −0.313498 | − | 0.949589i | \(-0.601501\pi\) |
0.249656 | + | 0.968335i | \(0.419683\pi\) | |||||||
\(12\) | 0.959493 | − | 0.281733i | 0.276982 | − | 0.0813292i | ||||
\(13\) | 1.34255 | − | 2.93977i | 0.372356 | − | 0.815345i | −0.626985 | − | 0.779032i | \(-0.715711\pi\) |
0.999340 | − | 0.0363137i | \(-0.0115615\pi\) | |||||||
\(14\) | 0.345990 | + | 2.40641i | 0.0924697 | + | 0.643141i | ||||
\(15\) | −0.654861 | − | 0.755750i | −0.169084 | − | 0.195134i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −2.96949 | + | 1.90838i | −0.720207 | + | 0.462849i | −0.848709 | − | 0.528860i | \(-0.822620\pi\) |
0.128502 | + | 0.991709i | \(0.458983\pi\) | |||||||
\(18\) | −0.142315 | + | 0.989821i | −0.0335439 | + | 0.233303i | ||||
\(19\) | −0.404593 | − | 0.260016i | −0.0928199 | − | 0.0596517i | 0.493408 | − | 0.869798i | \(-0.335751\pi\) |
−0.586227 | + | 0.810147i | \(0.699387\pi\) | |||||||
\(20\) | 0.654861 | − | 0.755750i | 0.146431 | − | 0.168991i | ||||
\(21\) | −2.33268 | − | 0.684937i | −0.509032 | − | 0.149465i | ||||
\(22\) | 0.220679 | 0.0470489 | ||||||||
\(23\) | −3.67752 | − | 3.07829i | −0.766816 | − | 0.641867i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | −2.11639 | + | 2.44245i | −0.415059 | + | 0.479004i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0.345990 | − | 2.40641i | 0.0653860 | − | 0.454769i | ||||
\(29\) | −0.633960 | + | 0.407421i | −0.117723 | + | 0.0756562i | −0.598177 | − | 0.801364i | \(-0.704108\pi\) |
0.480454 | + | 0.877020i | \(0.340472\pi\) | |||||||
\(30\) | 0.415415 | + | 0.909632i | 0.0758441 | + | 0.166075i | ||||
\(31\) | −0.253484 | − | 0.292537i | −0.0455271 | − | 0.0525411i | 0.732529 | − | 0.680736i | \(-0.238340\pi\) |
−0.778056 | + | 0.628194i | \(0.783794\pi\) | |||||||
\(32\) | −0.142315 | − | 0.989821i | −0.0251579 | − | 0.174977i | ||||
\(33\) | −0.0916734 | + | 0.200737i | −0.0159583 | + | 0.0349438i | ||||
\(34\) | 3.38686 | − | 0.994471i | 0.580841 | − | 0.170550i | ||||
\(35\) | −2.33268 | + | 0.684937i | −0.394295 | + | 0.115775i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | −0.396050 | − | 2.75459i | −0.0651103 | − | 0.452852i | −0.996131 | − | 0.0878847i | \(-0.971989\pi\) |
0.931020 | − | 0.364967i | \(-0.118920\pi\) | |||||||
\(38\) | 0.314949 | + | 0.363470i | 0.0510914 | + | 0.0589627i | ||||
\(39\) | −1.34255 | − | 2.93977i | −0.214980 | − | 0.470740i | ||||
\(40\) | −0.841254 | + | 0.540641i | −0.133014 | + | 0.0854828i | ||||
\(41\) | −0.922033 | + | 6.41288i | −0.143997 | + | 1.00152i | 0.781807 | + | 0.623521i | \(0.214298\pi\) |
−0.925804 | + | 0.378003i | \(0.876611\pi\) | |||||||
\(42\) | 2.04522 | + | 1.31438i | 0.315584 | + | 0.202814i | ||||
\(43\) | 6.14258 | − | 7.08892i | 0.936735 | − | 1.08105i | −0.0598275 | − | 0.998209i | \(-0.519055\pi\) |
0.996563 | − | 0.0828414i | \(-0.0263995\pi\) | |||||||
\(44\) | −0.211740 | − | 0.0621724i | −0.0319210 | − | 0.00937285i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 2.66130 | + | 3.98967i | 0.392387 | + | 0.588245i | ||||
\(47\) | −4.01695 | −0.585932 | −0.292966 | − | 0.956123i | \(-0.594642\pi\) | ||||
−0.292966 | + | 0.956123i | \(0.594642\pi\) | |||||||
\(48\) | 0.959493 | + | 0.281733i | 0.138491 | + | 0.0406646i | ||||
\(49\) | 0.713450 | − | 0.823365i | 0.101921 | − | 0.117624i | ||||
\(50\) | 0.841254 | + | 0.540641i | 0.118971 | + | 0.0764582i | ||||
\(51\) | −0.502349 | + | 3.49391i | −0.0703429 | + | 0.489245i | ||||
\(52\) | 2.71878 | − | 1.74726i | 0.377027 | − | 0.242301i | ||||
\(53\) | −1.45679 | − | 3.18992i | −0.200105 | − | 0.438169i | 0.782802 | − | 0.622271i | \(-0.213790\pi\) |
−0.982907 | + | 0.184102i | \(0.941062\pi\) | |||||||
\(54\) | 0.654861 | + | 0.755750i | 0.0891153 | + | 0.102844i | ||||
\(55\) | 0.0314059 | + | 0.218433i | 0.00423477 | + | 0.0294535i | ||||
\(56\) | −1.00994 | + | 2.21146i | −0.134959 | + | 0.295519i | ||||
\(57\) | −0.461459 | + | 0.135496i | −0.0611217 | + | 0.0179469i | ||||
\(58\) | 0.723064 | − | 0.212311i | 0.0949429 | − | 0.0278777i | ||||
\(59\) | −0.212272 | + | 0.464810i | −0.0276354 | + | 0.0605132i | −0.922946 | − | 0.384929i | \(-0.874226\pi\) |
0.895311 | + | 0.445442i | \(0.146953\pi\) | |||||||
\(60\) | −0.142315 | − | 0.989821i | −0.0183728 | − | 0.127785i | ||||
\(61\) | −2.75460 | − | 3.17898i | −0.352690 | − | 0.407026i | 0.551487 | − | 0.834183i | \(-0.314061\pi\) |
−0.904177 | + | 0.427157i | \(0.859515\pi\) | |||||||
\(62\) | 0.160799 | + | 0.352102i | 0.0204215 | + | 0.0447169i | ||||
\(63\) | −2.04522 | + | 1.31438i | −0.257674 | + | 0.165597i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | −2.71878 | − | 1.74726i | −0.337223 | − | 0.216720i | ||||
\(66\) | 0.144514 | − | 0.166778i | 0.0177884 | − | 0.0205290i | ||||
\(67\) | 1.52954 | + | 0.449114i | 0.186863 | + | 0.0548680i | 0.373825 | − | 0.927499i | \(-0.378046\pi\) |
−0.186962 | + | 0.982367i | \(0.559864\pi\) | |||||||
\(68\) | −3.52984 | −0.428056 | ||||||||
\(69\) | −4.73468 | + | 0.763434i | −0.569988 | + | 0.0919066i | ||||
\(70\) | 2.43116 | 0.290579 | ||||||||
\(71\) | −13.0485 | − | 3.83139i | −1.54858 | − | 0.454703i | −0.607901 | − | 0.794013i | \(-0.707988\pi\) |
−0.940675 | + | 0.339310i | \(0.889806\pi\) | |||||||
\(72\) | −0.654861 | + | 0.755750i | −0.0771761 | + | 0.0890659i | ||||
\(73\) | 4.00646 | + | 2.57479i | 0.468920 | + | 0.301357i | 0.753679 | − | 0.657242i | \(-0.228277\pi\) |
−0.284759 | + | 0.958599i | \(0.591914\pi\) | |||||||
\(74\) | −0.396050 | + | 2.75459i | −0.0460399 | + | 0.320215i | ||||
\(75\) | −0.841254 | + | 0.540641i | −0.0971396 | + | 0.0624278i | ||||
\(76\) | −0.199790 | − | 0.437478i | −0.0229175 | − | 0.0501822i | ||||
\(77\) | 0.351336 | + | 0.405464i | 0.0400385 | + | 0.0462069i | ||||
\(78\) | 0.459936 | + | 3.19893i | 0.0520775 | + | 0.362207i | ||||
\(79\) | −0.0929434 | + | 0.203518i | −0.0104569 | + | 0.0228975i | −0.914788 | − | 0.403933i | \(-0.867643\pi\) |
0.904331 | + | 0.426831i | \(0.140370\pi\) | |||||||
\(80\) | 0.959493 | − | 0.281733i | 0.107275 | − | 0.0314987i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 2.69140 | − | 5.89335i | 0.297216 | − | 0.650811i | ||||
\(83\) | −1.46253 | − | 10.1721i | −0.160534 | − | 1.11654i | −0.897630 | − | 0.440750i | \(-0.854713\pi\) |
0.737096 | − | 0.675788i | \(-0.236197\pi\) | |||||||
\(84\) | −1.59207 | − | 1.83735i | −0.173709 | − | 0.200471i | ||||
\(85\) | 1.46635 | + | 3.21086i | 0.159048 | + | 0.348266i | ||||
\(86\) | −7.89095 | + | 5.07120i | −0.850903 | + | 0.546842i | ||||
\(87\) | −0.107247 | + | 0.745919i | −0.0114981 | + | 0.0799709i | ||||
\(88\) | 0.185647 | + | 0.119308i | 0.0197900 | + | 0.0127183i | ||||
\(89\) | 6.26568 | − | 7.23098i | 0.664161 | − | 0.766482i | −0.319290 | − | 0.947657i | \(-0.603444\pi\) |
0.983451 | + | 0.181175i | \(0.0579899\pi\) | |||||||
\(90\) | 0.959493 | + | 0.281733i | 0.101139 | + | 0.0296972i | ||||
\(91\) | −7.85707 | −0.823645 | ||||||||
\(92\) | −1.42948 | − | 4.57784i | −0.149033 | − | 0.477273i | ||||
\(93\) | −0.387081 | −0.0401385 | ||||||||
\(94\) | 3.85423 | + | 1.13170i | 0.397534 | + | 0.116726i | ||||
\(95\) | −0.314949 | + | 0.363470i | −0.0323131 | + | 0.0372913i | ||||
\(96\) | −0.841254 | − | 0.540641i | −0.0858601 | − | 0.0551789i | ||||
\(97\) | −0.536094 | + | 3.72862i | −0.0544321 | + | 0.378584i | 0.944337 | + | 0.328980i | \(0.106705\pi\) |
−0.998769 | + | 0.0496037i | \(0.984204\pi\) | |||||||
\(98\) | −0.916519 | + | 0.589011i | −0.0925824 | + | 0.0594991i | ||||
\(99\) | 0.0916734 | + | 0.200737i | 0.00921352 | + | 0.0201748i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | 1.55373 | + | 10.8065i | 0.154602 | + | 1.07528i | 0.908378 | + | 0.418150i | \(0.137321\pi\) |
−0.753776 | + | 0.657132i | \(0.771769\pi\) | |||||||
\(102\) | 1.46635 | − | 3.21086i | 0.145190 | − | 0.317922i | ||||
\(103\) | 6.01184 | − | 1.76523i | 0.592364 | − | 0.173934i | 0.0282081 | − | 0.999602i | \(-0.491020\pi\) |
0.564156 | + | 0.825668i | \(0.309202\pi\) | |||||||
\(104\) | −3.10091 | + | 0.910510i | −0.304069 | + | 0.0892828i | ||||
\(105\) | −1.00994 | + | 2.21146i | −0.0985600 | + | 0.215816i | ||||
\(106\) | 0.499073 | + | 3.47113i | 0.0484743 | + | 0.337146i | ||||
\(107\) | −5.78131 | − | 6.67199i | −0.558900 | − | 0.645005i | 0.404033 | − | 0.914744i | \(-0.367608\pi\) |
−0.962933 | + | 0.269739i | \(0.913063\pi\) | |||||||
\(108\) | −0.415415 | − | 0.909632i | −0.0399733 | − | 0.0875294i | ||||
\(109\) | 4.11210 | − | 2.64269i | 0.393868 | − | 0.253124i | −0.328684 | − | 0.944440i | \(-0.606605\pi\) |
0.722552 | + | 0.691316i | \(0.242969\pi\) | |||||||
\(110\) | 0.0314059 | − | 0.218433i | 0.00299443 | − | 0.0208267i | ||||
\(111\) | −2.34114 | − | 1.50456i | −0.222211 | − | 0.142806i | ||||
\(112\) | 1.59207 | − | 1.83735i | 0.150437 | − | 0.173613i | ||||
\(113\) | 11.0366 | + | 3.24064i | 1.03824 | + | 0.304854i | 0.756056 | − | 0.654507i | \(-0.227124\pi\) |
0.282181 | + | 0.959361i | \(0.408942\pi\) | |||||||
\(114\) | 0.480940 | 0.0450442 | ||||||||
\(115\) | −3.57032 | + | 3.20200i | −0.332934 | + | 0.298588i | ||||
\(116\) | −0.753589 | −0.0699690 | ||||||||
\(117\) | −3.10091 | − | 0.910510i | −0.286679 | − | 0.0841766i | ||||
\(118\) | 0.334626 | − | 0.386179i | 0.0308048 | − | 0.0355506i | ||||
\(119\) | 7.21930 | + | 4.63956i | 0.661792 | + | 0.425308i | ||||
\(120\) | −0.142315 | + | 0.989821i | −0.0129915 | + | 0.0903579i | ||||
\(121\) | −9.21282 | + | 5.92072i | −0.837529 | + | 0.538247i | ||||
\(122\) | 1.74740 | + | 3.82627i | 0.158202 | + | 0.346414i | ||||
\(123\) | 4.24273 | + | 4.89637i | 0.382554 | + | 0.441491i | ||||
\(124\) | −0.0550874 | − | 0.383141i | −0.00494700 | − | 0.0344071i | ||||
\(125\) | −0.415415 | + | 0.909632i | −0.0371558 | + | 0.0813600i | ||||
\(126\) | 2.33268 | − | 0.684937i | 0.207812 | − | 0.0610190i | ||||
\(127\) | 9.42688 | − | 2.76798i | 0.836500 | − | 0.245619i | 0.164693 | − | 0.986345i | \(-0.447337\pi\) |
0.671807 | + | 0.740726i | \(0.265518\pi\) | |||||||
\(128\) | 0.415415 | − | 0.909632i | 0.0367178 | − | 0.0804009i | ||||
\(129\) | −1.33491 | − | 9.28451i | −0.117532 | − | 0.817456i | ||||
\(130\) | 2.11639 | + | 2.44245i | 0.185620 | + | 0.214217i | ||||
\(131\) | 4.85814 | + | 10.6378i | 0.424458 | + | 0.929433i | 0.994194 | + | 0.107605i | \(0.0343182\pi\) |
−0.569736 | + | 0.821828i | \(0.692955\pi\) | |||||||
\(132\) | −0.185647 | + | 0.119308i | −0.0161585 | + | 0.0103844i | ||||
\(133\) | −0.166400 | + | 1.15734i | −0.0144287 | + | 0.100354i | ||||
\(134\) | −1.34105 | − | 0.861844i | −0.115850 | − | 0.0744520i | ||||
\(135\) | −0.654861 | + | 0.755750i | −0.0563614 | + | 0.0650446i | ||||
\(136\) | 3.38686 | + | 0.994471i | 0.290421 | + | 0.0852752i | ||||
\(137\) | 7.92240 | 0.676856 | 0.338428 | − | 0.940992i | \(-0.390105\pi\) | ||||
0.338428 | + | 0.940992i | \(0.390105\pi\) | |||||||
\(138\) | 4.75797 | + | 0.601403i | 0.405026 | + | 0.0511948i | ||||
\(139\) | 14.7459 | 1.25073 | 0.625366 | − | 0.780332i | \(-0.284950\pi\) | ||||
0.625366 | + | 0.780332i | \(0.284950\pi\) | |||||||
\(140\) | −2.33268 | − | 0.684937i | −0.197147 | − | 0.0578877i | ||||
\(141\) | −2.63054 | + | 3.03581i | −0.221531 | + | 0.255661i | ||||
\(142\) | 11.4405 | + | 7.35239i | 0.960069 | + | 0.616999i | ||||
\(143\) | −0.101498 | + | 0.705936i | −0.00848771 | + | 0.0590333i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | 0.313052 | + | 0.685489i | 0.0259976 | + | 0.0569267i | ||||
\(146\) | −3.11876 | − | 3.59925i | −0.258111 | − | 0.297876i | ||||
\(147\) | −0.155047 | − | 1.07838i | −0.0127881 | − | 0.0889432i | ||||
\(148\) | 1.15607 | − | 2.53143i | 0.0950280 | − | 0.208082i | ||||
\(149\) | 18.4341 | − | 5.41275i | 1.51018 | − | 0.443430i | 0.581264 | − | 0.813715i | \(-0.302558\pi\) |
0.928918 | + | 0.370285i | \(0.120740\pi\) | |||||||
\(150\) | 0.959493 | − | 0.281733i | 0.0783423 | − | 0.0230034i | ||||
\(151\) | 4.36792 | − | 9.56441i | 0.355456 | − | 0.778341i | −0.644450 | − | 0.764647i | \(-0.722914\pi\) |
0.999906 | − | 0.0136944i | \(-0.00435918\pi\) | |||||||
\(152\) | 0.0684449 | + | 0.476045i | 0.00555161 | + | 0.0386123i | ||||
\(153\) | 2.31155 | + | 2.66768i | 0.186878 | + | 0.215669i | ||||
\(154\) | −0.222872 | − | 0.488023i | −0.0179596 | − | 0.0393260i | ||||
\(155\) | −0.325634 | + | 0.209272i | −0.0261555 | + | 0.0168091i | ||||
\(156\) | 0.459936 | − | 3.19893i | 0.0368244 | − | 0.256119i | ||||
\(157\) | 1.56769 | + | 1.00750i | 0.125116 | + | 0.0804069i | 0.601702 | − | 0.798721i | \(-0.294490\pi\) |
−0.476586 | + | 0.879128i | \(0.658126\pi\) | |||||||
\(158\) | 0.146516 | − | 0.169089i | 0.0116562 | − | 0.0134520i | ||||
\(159\) | −3.36477 | − | 0.987986i | −0.266844 | − | 0.0783524i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −3.09344 | + | 11.2416i | −0.243797 | + | 0.885960i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −5.76134 | − | 1.69168i | −0.451263 | − | 0.132503i | 0.0482006 | − | 0.998838i | \(-0.484651\pi\) |
−0.499463 | + | 0.866335i | \(0.666469\pi\) | |||||||
\(164\) | −4.24273 | + | 4.89637i | −0.331302 | + | 0.382342i | ||||
\(165\) | 0.185647 | + | 0.119308i | 0.0144526 | + | 0.00928812i | ||||
\(166\) | −1.46253 | + | 10.1721i | −0.113515 | + | 0.789512i | ||||
\(167\) | 14.8123 | − | 9.51926i | 1.14621 | − | 0.736622i | 0.177326 | − | 0.984152i | \(-0.443255\pi\) |
0.968880 | + | 0.247530i | \(0.0796188\pi\) | |||||||
\(168\) | 1.00994 | + | 2.21146i | 0.0779185 | + | 0.170618i | ||||
\(169\) | 1.67338 | + | 1.93119i | 0.128722 | + | 0.148553i | ||||
\(170\) | −0.502349 | − | 3.49391i | −0.0385284 | − | 0.267971i | ||||
\(171\) | −0.199790 | + | 0.437478i | −0.0152783 | + | 0.0334548i | ||||
\(172\) | 9.00003 | − | 2.64265i | 0.686246 | − | 0.201500i | ||||
\(173\) | 17.2711 | − | 5.07124i | 1.31310 | − | 0.385560i | 0.451099 | − | 0.892474i | \(-0.351032\pi\) |
0.861996 | + | 0.506914i | \(0.169214\pi\) | |||||||
\(174\) | 0.313052 | − | 0.685489i | 0.0237324 | − | 0.0519668i | ||||
\(175\) | 0.345990 | + | 2.40641i | 0.0261544 | + | 0.181908i | ||||
\(176\) | −0.144514 | − | 0.166778i | −0.0108932 | − | 0.0125714i | ||||
\(177\) | 0.212272 | + | 0.464810i | 0.0159553 | + | 0.0349373i | ||||
\(178\) | −8.04908 | + | 5.17283i | −0.603304 | + | 0.387720i | ||||
\(179\) | −0.415015 | + | 2.88650i | −0.0310197 | + | 0.215747i | −0.999436 | − | 0.0335937i | \(-0.989305\pi\) |
0.968416 | + | 0.249341i | \(0.0802139\pi\) | |||||||
\(180\) | −0.841254 | − | 0.540641i | −0.0627033 | − | 0.0402970i | ||||
\(181\) | 0.930908 | − | 1.07432i | 0.0691938 | − | 0.0798539i | −0.720097 | − | 0.693873i | \(-0.755903\pi\) |
0.789291 | + | 0.614019i | \(0.210448\pi\) | |||||||
\(182\) | 7.53881 | + | 2.21359i | 0.558813 | + | 0.164082i | ||||
\(183\) | −4.20639 | −0.310945 | ||||||||
\(184\) | 0.0818484 | + | 4.79513i | 0.00603394 | + | 0.353502i | ||||
\(185\) | −2.78292 | −0.204604 | ||||||||
\(186\) | 0.371402 | + | 0.109053i | 0.0272325 | + | 0.00799618i | ||||
\(187\) | 0.510111 | − | 0.588700i | 0.0373030 | − | 0.0430500i | ||||
\(188\) | −3.37927 | − | 2.17173i | −0.246459 | − | 0.158389i | ||||
\(189\) | −0.345990 | + | 2.40641i | −0.0251671 | + | 0.175041i | ||||
\(190\) | 0.404593 | − | 0.260016i | 0.0293522 | − | 0.0188635i | ||||
\(191\) | 9.88244 | + | 21.6395i | 0.715068 | + | 1.56578i | 0.820689 | + | 0.571375i | \(0.193590\pi\) |
−0.105621 | + | 0.994406i | \(0.533683\pi\) | |||||||
\(192\) | 0.654861 | + | 0.755750i | 0.0472605 | + | 0.0545415i | ||||
\(193\) | 3.79335 | + | 26.3833i | 0.273051 | + | 1.89911i | 0.415970 | + | 0.909378i | \(0.363442\pi\) |
−0.142919 | + | 0.989734i | \(0.545649\pi\) | |||||||
\(194\) | 1.56485 | − | 3.42655i | 0.112350 | − | 0.246012i | ||||
\(195\) | −3.10091 | + | 0.910510i | −0.222061 | + | 0.0652029i | ||||
\(196\) | 1.04534 | − | 0.306939i | 0.0746669 | − | 0.0219242i | ||||
\(197\) | −0.733542 | + | 1.60623i | −0.0522627 | + | 0.114439i | −0.933962 | − | 0.357373i | \(-0.883673\pi\) |
0.881699 | + | 0.471812i | \(0.156400\pi\) | |||||||
\(198\) | −0.0314059 | − | 0.218433i | −0.00223192 | − | 0.0155233i | ||||
\(199\) | −5.18726 | − | 5.98642i | −0.367715 | − | 0.424366i | 0.541495 | − | 0.840704i | \(-0.317859\pi\) |
−0.909210 | + | 0.416338i | \(0.863313\pi\) | |||||||
\(200\) | 0.415415 | + | 0.909632i | 0.0293743 | + | 0.0643207i | ||||
\(201\) | 1.34105 | − | 0.861844i | 0.0945907 | − | 0.0607898i | ||||
\(202\) | 1.55373 | − | 10.8065i | 0.109320 | − | 0.760339i | ||||
\(203\) | 1.54126 | + | 0.990505i | 0.108175 | + | 0.0695198i | ||||
\(204\) | −2.31155 | + | 2.66768i | −0.161841 | + | 0.186775i | ||||
\(205\) | 6.21639 | + | 1.82530i | 0.434171 | + | 0.127484i | ||||
\(206\) | −6.26564 | −0.436548 | ||||||||
\(207\) | −2.52359 | + | 4.07817i | −0.175402 | + | 0.283453i | ||||
\(208\) | 3.23182 | 0.224087 | ||||||||
\(209\) | 0.101834 | + | 0.0299012i | 0.00704402 | + | 0.00206831i | ||||
\(210\) | 1.59207 | − | 1.83735i | 0.109863 | − | 0.126789i | ||||
\(211\) | 15.3172 | + | 9.84380i | 1.05448 | + | 0.677675i | 0.948527 | − | 0.316696i | \(-0.102573\pi\) |
0.105956 | + | 0.994371i | \(0.466210\pi\) | |||||||
\(212\) | 0.499073 | − | 3.47113i | 0.0342765 | − | 0.238398i | ||||
\(213\) | −11.4405 | + | 7.35239i | −0.783893 | + | 0.503777i | ||||
\(214\) | 3.66741 | + | 8.03051i | 0.250699 | + | 0.548954i | ||||
\(215\) | −6.14258 | − | 7.08892i | −0.418921 | − | 0.483460i | ||||
\(216\) | 0.142315 | + | 0.989821i | 0.00968330 | + | 0.0673488i | ||||
\(217\) | −0.390929 | + | 0.856015i | −0.0265380 | + | 0.0581101i | ||||
\(218\) | −4.69007 | + | 1.37713i | −0.317651 | + | 0.0932708i | ||||
\(219\) | 4.56957 | − | 1.34175i | 0.308783 | − | 0.0906669i | ||||
\(220\) | −0.0916734 | + | 0.200737i | −0.00618062 | + | 0.0135337i | ||||
\(221\) | 1.62350 | + | 11.2917i | 0.109209 | + | 0.759562i | ||||
\(222\) | 1.82242 | + | 2.10319i | 0.122313 | + | 0.141157i | ||||
\(223\) | −2.14963 | − | 4.70704i | −0.143950 | − | 0.315207i | 0.823900 | − | 0.566736i | \(-0.191794\pi\) |
−0.967850 | + | 0.251529i | \(0.919067\pi\) | |||||||
\(224\) | −2.04522 | + | 1.31438i | −0.136652 | + | 0.0878209i | ||||
\(225\) | −0.142315 | + | 0.989821i | −0.00948766 | + | 0.0659881i | ||||
\(226\) | −9.67656 | − | 6.21875i | −0.643675 | − | 0.413665i | ||||
\(227\) | −1.32753 | + | 1.53205i | −0.0881112 | + | 0.101686i | −0.798093 | − | 0.602534i | \(-0.794158\pi\) |
0.709982 | + | 0.704220i | \(0.248703\pi\) | |||||||
\(228\) | −0.461459 | − | 0.135496i | −0.0305608 | − | 0.00897347i | ||||
\(229\) | −2.81517 | −0.186031 | −0.0930157 | − | 0.995665i | \(-0.529651\pi\) | ||||
−0.0930157 | + | 0.995665i | \(0.529651\pi\) | |||||||
\(230\) | 4.32781 | − | 2.06642i | 0.285367 | − | 0.136256i | ||||
\(231\) | 0.536506 | 0.0352995 | ||||||||
\(232\) | 0.723064 | + | 0.212311i | 0.0474714 | + | 0.0139389i | ||||
\(233\) | 3.51163 | − | 4.05264i | 0.230055 | − | 0.265497i | −0.628972 | − | 0.777428i | \(-0.716524\pi\) |
0.859027 | + | 0.511930i | \(0.171069\pi\) | |||||||
\(234\) | 2.71878 | + | 1.74726i | 0.177732 | + | 0.114222i | ||||
\(235\) | −0.571671 | + | 3.97606i | −0.0372917 | + | 0.259370i | ||||
\(236\) | −0.429870 | + | 0.276261i | −0.0279822 | + | 0.0179830i | ||||
\(237\) | 0.0929434 | + | 0.203518i | 0.00603732 | + | 0.0132199i | ||||
\(238\) | −5.61975 | − | 6.48554i | −0.364275 | − | 0.420395i | ||||
\(239\) | −3.67878 | − | 25.5865i | −0.237960 | − | 1.65505i | −0.662072 | − | 0.749441i | \(-0.730323\pi\) |
0.424111 | − | 0.905610i | \(-0.360587\pi\) | |||||||
\(240\) | 0.415415 | − | 0.909632i | 0.0268149 | − | 0.0587165i | ||||
\(241\) | −12.7933 | + | 3.75646i | −0.824090 | + | 0.241975i | −0.666476 | − | 0.745526i | \(-0.732198\pi\) |
−0.157614 | + | 0.987501i | \(0.550380\pi\) | |||||||
\(242\) | 10.5077 | − | 3.08534i | 0.675460 | − | 0.198333i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | −0.598632 | − | 4.16358i | −0.0383235 | − | 0.266546i | ||||
\(245\) | −0.713450 | − | 0.823365i | −0.0455806 | − | 0.0526029i | ||||
\(246\) | −2.69140 | − | 5.89335i | −0.171598 | − | 0.375746i | ||||
\(247\) | −1.30757 | + | 0.840325i | −0.0831988 | + | 0.0534686i | ||||
\(248\) | −0.0550874 | + | 0.383141i | −0.00349805 | + | 0.0243295i | ||||
\(249\) | −8.64535 | − | 5.55603i | −0.547877 | − | 0.352099i | ||||
\(250\) | 0.654861 | − | 0.755750i | 0.0414170 | − | 0.0477978i | ||||
\(251\) | 1.21626 | + | 0.357125i | 0.0767693 | + | 0.0225415i | 0.319892 | − | 0.947454i | \(-0.396353\pi\) |
−0.243122 | + | 0.969996i | \(0.578172\pi\) | |||||||
\(252\) | −2.43116 | −0.153149 | ||||||||
\(253\) | 0.970062 | + | 0.423156i | 0.0609873 | + | 0.0266036i | ||||
\(254\) | −9.82486 | −0.616466 | ||||||||
\(255\) | 3.38686 | + | 0.994471i | 0.212093 | + | 0.0622762i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 12.7401 | + | 8.18758i | 0.794707 | + | 0.510727i | 0.873885 | − | 0.486133i | \(-0.161593\pi\) |
−0.0791778 | + | 0.996861i | \(0.525229\pi\) | |||||||
\(258\) | −1.33491 | + | 9.28451i | −0.0831079 | + | 0.578028i | ||||
\(259\) | −5.69168 | + | 3.65782i | −0.353664 | + | 0.227286i | ||||
\(260\) | −1.34255 | − | 2.93977i | −0.0832613 | − | 0.182317i | ||||
\(261\) | 0.493496 | + | 0.569525i | 0.0305466 | + | 0.0352527i | ||||
\(262\) | −1.66432 | − | 11.5756i | −0.102822 | − | 0.715145i | ||||
\(263\) | 1.99859 | − | 4.37631i | 0.123238 | − | 0.269855i | −0.837950 | − | 0.545747i | \(-0.816246\pi\) |
0.961189 | + | 0.275892i | \(0.0889733\pi\) | |||||||
\(264\) | 0.211740 | − | 0.0621724i | 0.0130317 | − | 0.00382645i | ||||
\(265\) | −3.36477 | + | 0.987986i | −0.206696 | + | 0.0606915i | ||||
\(266\) | 0.485720 | − | 1.06358i | 0.0297814 | − | 0.0652122i | ||||
\(267\) | −1.36166 | − | 9.47057i | −0.0833324 | − | 0.579590i | ||||
\(268\) | 1.04392 | + | 1.20475i | 0.0637678 | + | 0.0735919i | ||||
\(269\) | −0.289040 | − | 0.632908i | −0.0176231 | − | 0.0385891i | 0.900616 | − | 0.434616i | \(-0.143116\pi\) |
−0.918239 | + | 0.396027i | \(0.870389\pi\) | |||||||
\(270\) | 0.841254 | − | 0.540641i | 0.0511971 | − | 0.0329024i | ||||
\(271\) | 3.14609 | − | 21.8816i | 0.191112 | − | 1.32921i | −0.637961 | − | 0.770069i | \(-0.720222\pi\) |
0.829072 | − | 0.559141i | \(-0.188869\pi\) | |||||||
\(272\) | −2.96949 | − | 1.90838i | −0.180052 | − | 0.115712i | ||||
\(273\) | −5.14529 | + | 5.93798i | −0.311407 | + | 0.359383i | ||||
\(274\) | −7.60149 | − | 2.23200i | −0.459223 | − | 0.134840i | ||||
\(275\) | 0.220679 | 0.0133074 | ||||||||
\(276\) | −4.39581 | − | 1.91752i | −0.264597 | − | 0.115421i | ||||
\(277\) | −5.46125 | −0.328135 | −0.164067 | − | 0.986449i | \(-0.552461\pi\) | ||||
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(278\) | −14.1486 | − | 4.15440i | −0.848576 | − | 0.249164i | ||||
\(279\) | −0.253484 | + | 0.292537i | −0.0151757 | + | 0.0175137i | ||||
\(280\) | 2.04522 | + | 1.31438i | 0.122225 | + | 0.0785494i | ||||
\(281\) | −1.81762 | + | 12.6418i | −0.108430 | + | 0.754147i | 0.860969 | + | 0.508657i | \(0.169858\pi\) |
−0.969399 | + | 0.245490i | \(0.921051\pi\) | |||||||
\(282\) | 3.37927 | − | 2.17173i | 0.201233 | − | 0.129324i | ||||
\(283\) | −7.49668 | − | 16.4154i | −0.445632 | − | 0.975797i | −0.990530 | − | 0.137295i | \(-0.956159\pi\) |
0.544899 | − | 0.838502i | \(-0.316568\pi\) | |||||||
\(284\) | −8.90571 | − | 10.2777i | −0.528457 | − | 0.609872i | ||||
\(285\) | 0.0684449 | + | 0.476045i | 0.00405433 | + | 0.0281985i | ||||
\(286\) | 0.296272 | − | 0.648745i | 0.0175189 | − | 0.0383611i | ||||
\(287\) | 15.1130 | − | 4.43759i | 0.892094 | − | 0.261942i | ||||
\(288\) | −0.959493 | + | 0.281733i | −0.0565387 | + | 0.0166013i | ||||
\(289\) | −1.88608 | + | 4.12994i | −0.110946 | + | 0.242937i | ||||
\(290\) | −0.107247 | − | 0.745919i | −0.00629776 | − | 0.0438019i | ||||
\(291\) | 2.46683 | + | 2.84688i | 0.144608 | + | 0.166887i | ||||
\(292\) | 1.97841 | + | 4.33211i | 0.115778 | + | 0.253517i | ||||
\(293\) | 8.65158 | − | 5.56003i | 0.505431 | − | 0.324821i | −0.262955 | − | 0.964808i | \(-0.584697\pi\) |
0.768385 | + | 0.639988i | \(0.221061\pi\) | |||||||
\(294\) | −0.155047 | + | 1.07838i | −0.00904255 | + | 0.0628923i | ||||
\(295\) | 0.429870 | + | 0.276261i | 0.0250280 | + | 0.0160845i | ||||
\(296\) | −1.82242 | + | 2.10319i | −0.105926 | + | 0.122245i | ||||
\(297\) | 0.211740 | + | 0.0621724i | 0.0122864 | + | 0.00360761i | ||||
\(298\) | −19.2124 | −1.11294 | ||||||||
\(299\) | −13.9867 | + | 6.67831i | −0.808872 | + | 0.386217i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −21.8805 | − | 6.42469i | −1.26117 | − | 0.370313i | ||||
\(302\) | −6.88560 | + | 7.94640i | −0.396222 | + | 0.457264i | ||||
\(303\) | 9.18445 | + | 5.90249i | 0.527633 | + | 0.339089i | ||||
\(304\) | 0.0684449 | − | 0.476045i | 0.00392558 | − | 0.0273030i | ||||
\(305\) | −3.53864 | + | 2.27415i | −0.202622 | + | 0.130217i | ||||
\(306\) | −1.46635 | − | 3.21086i | −0.0838256 | − | 0.183552i | ||||
\(307\) | −2.06927 | − | 2.38807i | −0.118100 | − | 0.136294i | 0.693621 | − | 0.720340i | \(-0.256014\pi\) |
−0.811721 | + | 0.584046i | \(0.801469\pi\) | |||||||
\(308\) | 0.0763527 | + | 0.531045i | 0.00435060 | + | 0.0302591i | ||||
\(309\) | 2.60284 | − | 5.69943i | 0.148070 | − | 0.324229i | ||||
\(310\) | 0.371402 | − | 0.109053i | 0.0210942 | − | 0.00619382i | ||||
\(311\) | 12.0704 | − | 3.54418i | 0.684448 | − | 0.200972i | 0.0790212 | − | 0.996873i | \(-0.474821\pi\) |
0.605427 | + | 0.795901i | \(0.293002\pi\) | |||||||
\(312\) | −1.34255 | + | 2.93977i | −0.0760068 | + | 0.166432i | ||||
\(313\) | −2.00293 | − | 13.9307i | −0.113212 | − | 0.787408i | −0.964760 | − | 0.263131i | \(-0.915245\pi\) |
0.851548 | − | 0.524277i | \(-0.175664\pi\) | |||||||
\(314\) | −1.22035 | − | 1.40836i | −0.0688682 | − | 0.0794781i | ||||
\(315\) | 1.00994 | + | 2.21146i | 0.0569037 | + | 0.124602i | ||||
\(316\) | −0.188219 | + | 0.120961i | −0.0105881 | + | 0.00680458i | ||||
\(317\) | −3.51808 | + | 24.4688i | −0.197595 | + | 1.37430i | 0.613641 | + | 0.789585i | \(0.289704\pi\) |
−0.811236 | + | 0.584718i | \(0.801205\pi\) | |||||||
\(318\) | 2.95013 | + | 1.89593i | 0.165435 | + | 0.106319i | ||||
\(319\) | 0.108904 | − | 0.125682i | 0.00609746 | − | 0.00703685i | ||||
\(320\) | 0.959493 | + | 0.281733i | 0.0536373 | + | 0.0157493i | ||||
\(321\) | −8.82830 | −0.492748 | ||||||||
\(322\) | 6.13525 | − | 9.91469i | 0.341904 | − | 0.552524i | ||||
\(323\) | 1.69764 | 0.0944593 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | −2.11639 | + | 2.44245i | −0.117396 | + | 0.135483i | ||||
\(326\) | 5.05136 | + | 3.24631i | 0.279769 | + | 0.179797i | ||||
\(327\) | 0.695644 | − | 4.83831i | 0.0384692 | − | 0.267559i | ||||
\(328\) | 5.45034 | − | 3.50272i | 0.300944 | − | 0.193405i | ||||
\(329\) | 4.05687 | + | 8.88332i | 0.223663 | + | 0.489753i | ||||
\(330\) | −0.144514 | − | 0.166778i | −0.00795523 | − | 0.00918083i | ||||
\(331\) | −1.54646 | − | 10.7558i | −0.0850009 | − | 0.591194i | −0.987153 | − | 0.159776i | \(-0.948923\pi\) |
0.902152 | − | 0.431418i | \(-0.141986\pi\) | |||||||
\(332\) | 4.26912 | − | 9.34806i | 0.234298 | − | 0.513041i | ||||
\(333\) | −2.67019 | + | 0.784038i | −0.146325 | + | 0.0429650i | ||||
\(334\) | −16.8941 | + | 4.96057i | −0.924406 | + | 0.271430i | ||||
\(335\) | 0.662219 | − | 1.45006i | 0.0361809 | − | 0.0792251i | ||||
\(336\) | −0.345990 | − | 2.40641i | −0.0188753 | − | 0.131281i | ||||
\(337\) | −7.10065 | − | 8.19459i | −0.386797 | − | 0.446388i | 0.528642 | − | 0.848845i | \(-0.322702\pi\) |
−0.915439 | + | 0.402458i | \(0.868156\pi\) | |||||||
\(338\) | −1.06152 | − | 2.32441i | −0.0577391 | − | 0.126431i | ||||
\(339\) | 9.67656 | − | 6.21875i | 0.525559 | − | 0.337756i | ||||
\(340\) | −0.502349 | + | 3.49391i | −0.0272437 | + | 0.189484i | ||||
\(341\) | 0.0718605 | + | 0.0461819i | 0.00389146 | + | 0.00250089i | ||||
\(342\) | 0.314949 | − | 0.363470i | 0.0170305 | − | 0.0196542i | ||||
\(343\) | −18.8701 | − | 5.54077i | −1.01889 | − | 0.299174i | ||||
\(344\) | −9.37998 | −0.505735 | ||||||||
\(345\) | 0.0818484 | + | 4.79513i | 0.00440657 | + | 0.258161i | ||||
\(346\) | −18.0002 | −0.967697 | ||||||||
\(347\) | −24.8948 | − | 7.30978i | −1.33642 | − | 0.392410i | −0.466032 | − | 0.884768i | \(-0.654317\pi\) |
−0.870393 | + | 0.492358i | \(0.836135\pi\) | |||||||
\(348\) | −0.493496 | + | 0.569525i | −0.0264542 | + | 0.0305297i | ||||
\(349\) | 29.6301 | + | 19.0421i | 1.58606 | + | 1.01930i | 0.973445 | + | 0.228920i | \(0.0735196\pi\) |
0.612617 | + | 0.790380i | \(0.290117\pi\) | |||||||
\(350\) | 0.345990 | − | 2.40641i | 0.0184939 | − | 0.128628i | ||||
\(351\) | −2.71878 | + | 1.74726i | −0.145118 | + | 0.0932616i | ||||
\(352\) | 0.0916734 | + | 0.200737i | 0.00488621 | + | 0.0106993i | ||||
\(353\) | −15.3862 | − | 17.7566i | −0.818926 | − | 0.945091i | 0.180332 | − | 0.983606i | \(-0.442283\pi\) |
−0.999258 | + | 0.0385147i | \(0.987737\pi\) | |||||||
\(354\) | −0.0727211 | − | 0.505786i | −0.00386508 | − | 0.0268822i | ||||
\(355\) | −5.64939 | + | 12.3704i | −0.299839 | + | 0.656555i | ||||
\(356\) | 9.18039 | − | 2.69561i | 0.486560 | − | 0.142867i | ||||
\(357\) | 8.23399 | − | 2.41772i | 0.435789 | − | 0.127959i | ||||
\(358\) | 1.21142 | − | 2.65265i | 0.0640258 | − | 0.140197i | ||||
\(359\) | −4.26024 | − | 29.6306i | −0.224847 | − | 1.56384i | −0.719337 | − | 0.694661i | \(-0.755554\pi\) |
0.494491 | − | 0.869183i | \(-0.335355\pi\) | |||||||
\(360\) | 0.654861 | + | 0.755750i | 0.0345142 | + | 0.0398315i | ||||
\(361\) | −7.79680 | − | 17.0726i | −0.410358 | − | 0.898558i | ||||
\(362\) | −1.19587 | + | 0.768540i | −0.0628536 | + | 0.0403936i | ||||
\(363\) | −1.55853 | + | 10.8398i | −0.0818017 | + | 0.568944i | ||||
\(364\) | −6.60979 | − | 4.24785i | −0.346447 | − | 0.222648i | ||||
\(365\) | 3.11876 | − | 3.59925i | 0.163244 | − | 0.188393i | ||||
\(366\) | 4.03600 | + | 1.18508i | 0.210965 | + | 0.0619450i | ||||
\(367\) | −27.4743 | −1.43415 | −0.717073 | − | 0.696998i | \(-0.754519\pi\) | ||||
−0.717073 | + | 0.696998i | \(0.754519\pi\) | |||||||
\(368\) | 1.27241 | − | 4.62396i | 0.0663291 | − | 0.241040i | ||||
\(369\) | 6.47883 | 0.337274 | ||||||||
\(370\) | 2.67019 | + | 0.784038i | 0.138816 | + | 0.0407602i | ||||
\(371\) | −5.58311 | + | 6.44325i | −0.289861 | + | 0.334517i | ||||
\(372\) | −0.325634 | − | 0.209272i | −0.0168833 | − | 0.0108502i | ||||
\(373\) | −4.54405 | + | 31.6045i | −0.235282 | + | 1.63642i | 0.439386 | + | 0.898299i | \(0.355196\pi\) |
−0.674667 | + | 0.738122i | \(0.735713\pi\) | |||||||
\(374\) | −0.655304 | + | 0.421138i | −0.0338850 | + | 0.0217765i | ||||
\(375\) | 0.415415 | + | 0.909632i | 0.0214519 | + | 0.0469732i | ||||
\(376\) | 2.63054 | + | 3.03581i | 0.135660 | + | 0.156560i | ||||
\(377\) | 0.346603 | + | 2.41068i | 0.0178510 | + | 0.124156i | ||||
\(378\) | 1.00994 | − | 2.21146i | 0.0519457 | − | 0.113745i | ||||
\(379\) | −11.0746 | + | 3.25178i | −0.568861 | + | 0.167033i | −0.553500 | − | 0.832849i | \(-0.686708\pi\) |
−0.0153615 | + | 0.999882i | \(0.504890\pi\) | |||||||
\(380\) | −0.461459 | + | 0.135496i | −0.0236723 | + | 0.00695082i | ||||
\(381\) | 4.08139 | − | 8.93700i | 0.209096 | − | 0.457857i | ||||
\(382\) | −3.38557 | − | 23.5472i | −0.173221 | − | 1.20478i | ||||
\(383\) | −12.1499 | − | 14.0217i | −0.620829 | − | 0.716474i | 0.355036 | − | 0.934853i | \(-0.384469\pi\) |
−0.975864 | + | 0.218378i | \(0.929923\pi\) | |||||||
\(384\) | −0.415415 | − | 0.909632i | −0.0211991 | − | 0.0464195i | ||||
\(385\) | 0.451337 | − | 0.290057i | 0.0230023 | − | 0.0147827i | ||||
\(386\) | 3.79335 | − | 26.3833i | 0.193076 | − | 1.34288i | ||||
\(387\) | −7.89095 | − | 5.07120i | −0.401119 | − | 0.257784i | ||||
\(388\) | −2.46683 | + | 2.84688i | −0.125235 | + | 0.144528i | ||||
\(389\) | 15.6557 | + | 4.59692i | 0.793775 | + | 0.233073i | 0.653388 | − | 0.757023i | \(-0.273347\pi\) |
0.140387 | + | 0.990097i | \(0.455165\pi\) | |||||||
\(390\) | 3.23182 | 0.163650 | ||||||||
\(391\) | 16.7949 | + | 2.12286i | 0.849354 | + | 0.107358i | ||||
\(392\) | −1.08947 | −0.0550264 | ||||||||
\(393\) | 11.2210 | + | 3.29477i | 0.566022 | + | 0.166199i | ||||
\(394\) | 1.15636 | − | 1.33451i | 0.0582564 | − | 0.0672314i | ||||
\(395\) | 0.188219 | + | 0.120961i | 0.00947032 | + | 0.00608621i | ||||
\(396\) | −0.0314059 | + | 0.218433i | −0.00157821 | + | 0.0109767i | ||||
\(397\) | −15.1390 | + | 9.72927i | −0.759807 | + | 0.488298i | −0.862276 | − | 0.506438i | \(-0.830962\pi\) |
0.102470 | + | 0.994736i | \(0.467326\pi\) | |||||||
\(398\) | 3.29057 | + | 7.20534i | 0.164941 | + | 0.361171i | ||||
\(399\) | 0.765690 | + | 0.883654i | 0.0383325 | + | 0.0442380i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | −1.33012 | + | 2.91255i | −0.0664228 | + | 0.145446i | −0.939932 | − | 0.341362i | \(-0.889112\pi\) |
0.873509 | + | 0.486808i | \(0.161839\pi\) | |||||||
\(402\) | −1.52954 | + | 0.449114i | −0.0762866 | + | 0.0223998i | ||||
\(403\) | −1.20030 | + | 0.352441i | −0.0597914 | + | 0.0175563i | ||||
\(404\) | −4.53533 | + | 9.93098i | −0.225641 | + | 0.494085i | ||||
\(405\) | 0.142315 | + | 0.989821i | 0.00707168 | + | 0.0491846i | ||||
\(406\) | −1.19977 | − | 1.38460i | −0.0595434 | − | 0.0687168i | ||||
\(407\) | 0.255119 | + | 0.558633i | 0.0126458 | + | 0.0276904i | ||||
\(408\) | 2.96949 | − | 1.90838i | 0.147012 | − | 0.0944787i | ||||
\(409\) | −0.864260 | + | 6.01106i | −0.0427349 | + | 0.297228i | 0.957234 | + | 0.289316i | \(0.0934277\pi\) |
−0.999969 | + | 0.00791236i | \(0.997481\pi\) | |||||||
\(410\) | −5.45034 | − | 3.50272i | −0.269173 | − | 0.172987i | ||||
\(411\) | 5.18807 | − | 5.98735i | 0.255909 | − | 0.295334i | ||||
\(412\) | 6.01184 | + | 1.76523i | 0.296182 | + | 0.0869669i | ||||
\(413\) | 1.24229 | 0.0611292 | ||||||||
\(414\) | 3.57032 | − | 3.20200i | 0.175472 | − | 0.157370i | ||||
\(415\) | −10.2767 | −0.504466 | ||||||||
\(416\) | −3.10091 | − | 0.910510i | −0.152035 | − | 0.0446414i | ||||
\(417\) | 9.65651 | − | 11.1442i | 0.472881 | − | 0.545734i | ||||
\(418\) | −0.0892851 | − | 0.0573800i | −0.00436707 | − | 0.00280655i | ||||
\(419\) | 0.136923 | − | 0.952321i | 0.00668913 | − | 0.0465239i | −0.986203 | − | 0.165537i | \(-0.947064\pi\) |
0.992893 | + | 0.119014i | \(0.0379732\pi\) | |||||||
\(420\) | −2.04522 | + | 1.31438i | −0.0997966 | + | 0.0641354i | ||||
\(421\) | −16.1030 | − | 35.2606i | −0.784812 | − | 1.71850i | −0.690938 | − | 0.722914i | \(-0.742802\pi\) |
−0.0938742 | − | 0.995584i | \(-0.529925\pi\) | |||||||
\(422\) | −11.9235 | − | 13.7604i | −0.580426 | − | 0.669847i | ||||
\(423\) | 0.571671 | + | 3.97606i | 0.0277956 | + | 0.193323i | ||||
\(424\) | −1.45679 | + | 3.18992i | −0.0707478 | + | 0.154916i | ||||
\(425\) | 3.38686 | − | 0.994471i | 0.164287 | − | 0.0482389i | ||||
\(426\) | 13.0485 | − | 3.83139i | 0.632203 | − | 0.185632i | ||||
\(427\) | −4.24820 | + | 9.30226i | −0.205585 | + | 0.450168i | ||||
\(428\) | −1.25640 | − | 8.73845i | −0.0607303 | − | 0.422389i | ||||
\(429\) | 0.467044 | + | 0.538997i | 0.0225491 | + | 0.0260230i | ||||
\(430\) | 3.89659 | + | 8.53233i | 0.187910 | + | 0.411466i | ||||
\(431\) | 19.3338 | − | 12.4251i | 0.931275 | − | 0.598494i | 0.0153668 | − | 0.999882i | \(-0.495108\pi\) |
0.915908 | + | 0.401388i | \(0.131472\pi\) | |||||||
\(432\) | 0.142315 | − | 0.989821i | 0.00684713 | − | 0.0476228i | ||||
\(433\) | 18.2755 | + | 11.7449i | 0.878262 | + | 0.564425i | 0.900270 | − | 0.435333i | \(-0.143369\pi\) |
−0.0220072 | + | 0.999758i | \(0.507006\pi\) | |||||||
\(434\) | 0.616261 | − | 0.711203i | 0.0295815 | − | 0.0341388i | ||||
\(435\) | 0.723064 | + | 0.212311i | 0.0346682 | + | 0.0101795i | ||||
\(436\) | 4.88807 | 0.234096 | ||||||||
\(437\) | 0.687493 | + | 2.20167i | 0.0328873 | + | 0.105320i | ||||
\(438\) | −4.76248 | −0.227560 | ||||||||
\(439\) | 26.2243 | + | 7.70016i | 1.25162 | + | 0.367508i | 0.839369 | − | 0.543562i | \(-0.182925\pi\) |
0.412250 | + | 0.911071i | \(0.364743\pi\) | |||||||
\(440\) | 0.144514 | − | 0.166778i | 0.00688943 | − | 0.00795083i | ||||
\(441\) | −0.916519 | − | 0.589011i | −0.0436437 | − | 0.0280481i | ||||
\(442\) | 1.62350 | − | 11.2917i | 0.0772221 | − | 0.537091i | ||||
\(443\) | −15.8350 | + | 10.1765i | −0.752344 | + | 0.483502i | −0.859751 | − | 0.510713i | \(-0.829381\pi\) |
0.107407 | + | 0.994215i | \(0.465745\pi\) | |||||||
\(444\) | −1.15607 | − | 2.53143i | −0.0548644 | − | 0.120136i | ||||
\(445\) | −6.26568 | − | 7.23098i | −0.297022 | − | 0.342781i | ||||
\(446\) | 0.736431 | + | 5.12199i | 0.0348710 | + | 0.242533i | ||||
\(447\) | 7.98110 | − | 17.4762i | 0.377493 | − | 0.826595i | ||||
\(448\) | 2.33268 | − | 0.684937i | 0.110209 | − | 0.0323602i | ||||
\(449\) | −11.4002 | + | 3.34741i | −0.538010 | + | 0.157974i | −0.539439 | − | 0.842025i | \(-0.681364\pi\) |
0.00142826 | + | 0.999999i | \(0.499545\pi\) | |||||||
\(450\) | 0.415415 | − | 0.909632i | 0.0195829 | − | 0.0428805i | ||||
\(451\) | −0.203473 | − | 1.41519i | −0.00958119 | − | 0.0666386i | ||||
\(452\) | 7.53257 | + | 8.69305i | 0.354302 | + | 0.408886i | ||||
\(453\) | −4.36792 | − | 9.56441i | −0.205223 | − | 0.449375i | ||||
\(454\) | 1.70538 | − | 1.09598i | 0.0800376 | − | 0.0514370i | ||||
\(455\) | −1.11818 | + | 7.77710i | −0.0524210 | + | 0.364596i | ||||
\(456\) | 0.404593 | + | 0.260016i | 0.0189468 | + | 0.0121764i | ||||
\(457\) | −17.8770 | + | 20.6312i | −0.836252 | + | 0.965086i | −0.999770 | − | 0.0214545i | \(-0.993170\pi\) |
0.163518 | + | 0.986540i | \(0.447716\pi\) | |||||||
\(458\) | 2.70113 | + | 0.793124i | 0.126216 | + | 0.0370602i | ||||
\(459\) | 3.52984 | 0.164759 | ||||||||
\(460\) | −4.73468 | + | 0.763434i | −0.220755 | + | 0.0355953i | ||||
\(461\) | 27.9262 | 1.30065 | 0.650326 | − | 0.759655i | \(-0.274632\pi\) | ||||
0.650326 | + | 0.759655i | \(0.274632\pi\) | |||||||
\(462\) | −0.514773 | − | 0.151151i | −0.0239494 | − | 0.00703218i | ||||
\(463\) | −20.2295 | + | 23.3461i | −0.940144 | + | 1.08498i | 0.0561030 | + | 0.998425i | \(0.482132\pi\) |
−0.996247 | + | 0.0865588i | \(0.972413\pi\) | |||||||
\(464\) | −0.633960 | − | 0.407421i | −0.0294308 | − | 0.0189140i | ||||
\(465\) | −0.0550874 | + | 0.383141i | −0.00255462 | + | 0.0177678i | ||||
\(466\) | −4.51115 | + | 2.89914i | −0.208975 | + | 0.134300i | ||||
\(467\) | −5.56300 | − | 12.1813i | −0.257425 | − | 0.563682i | 0.736155 | − | 0.676813i | \(-0.236639\pi\) |
−0.993580 | + | 0.113131i | \(0.963912\pi\) | |||||||
\(468\) | −2.11639 | − | 2.44245i | −0.0978303 | − | 0.112902i | ||||
\(469\) | −0.551548 | − | 3.83610i | −0.0254681 | − | 0.177135i | ||||
\(470\) | 1.66870 | − | 3.65394i | 0.0769714 | − | 0.168544i | ||||
\(471\) | 1.78804 | − | 0.525015i | 0.0823883 | − | 0.0241914i | ||||
\(472\) | 0.490289 | − | 0.143962i | 0.0225674 | − | 0.00662638i | ||||
\(473\) | −0.859895 | + | 1.88291i | −0.0395380 | + | 0.0865761i | ||||
\(474\) | −0.0318410 | − | 0.221459i | −0.00146250 | − | 0.0101719i | ||||
\(475\) | 0.314949 | + | 0.363470i | 0.0144508 | + | 0.0166772i | ||||
\(476\) | 3.56493 | + | 7.80610i | 0.163398 | + | 0.357792i | ||||
\(477\) | −2.95013 | + | 1.89593i | −0.135077 | + | 0.0868088i | ||||
\(478\) | −3.67878 | + | 25.5865i | −0.168263 | + | 1.17030i | ||||
\(479\) | 0.206640 | + | 0.132800i | 0.00944163 | + | 0.00606777i | 0.545353 | − | 0.838206i | \(-0.316396\pi\) |
−0.535911 | + | 0.844274i | \(0.680032\pi\) | |||||||
\(480\) | −0.654861 | + | 0.755750i | −0.0298902 | + | 0.0344951i | ||||
\(481\) | −8.62957 | − | 2.53387i | −0.393475 | − | 0.115535i | ||||
\(482\) | 13.3334 | 0.607321 | ||||||||
\(483\) | 6.47004 | + | 9.69953i | 0.294397 | + | 0.441344i | ||||
\(484\) | −10.9513 | −0.497786 | ||||||||
\(485\) | 3.61437 | + | 1.06128i | 0.164120 | + | 0.0481900i | ||||
\(486\) | 0.654861 | − | 0.755750i | 0.0297051 | − | 0.0342815i | ||||
\(487\) | 22.2002 | + | 14.2672i | 1.00599 | + | 0.646509i | 0.936352 | − | 0.351063i | \(-0.114180\pi\) |
0.0696363 | + | 0.997572i | \(0.477816\pi\) | |||||||
\(488\) | −0.598632 | + | 4.16358i | −0.0270988 | + | 0.188476i | ||||
\(489\) | −5.05136 | + | 3.24631i | −0.228430 | + | 0.146803i | ||||
\(490\) | 0.452581 | + | 0.991015i | 0.0204455 | + | 0.0447695i | ||||
\(491\) | −2.71268 | − | 3.13060i | −0.122421 | − | 0.141282i | 0.691230 | − | 0.722635i | \(-0.257069\pi\) |
−0.813652 | + | 0.581353i | \(0.802524\pi\) | |||||||
\(492\) | 0.922033 | + | 6.41288i | 0.0415685 | + | 0.289115i | ||||
\(493\) | 1.10502 | − | 2.41967i | 0.0497678 | − | 0.108976i | ||||
\(494\) | 1.49135 | − | 0.437900i | 0.0670991 | − | 0.0197021i | ||||
\(495\) | 0.211740 | − | 0.0621724i | 0.00951700 | − | 0.00279444i | ||||
\(496\) | 0.160799 | − | 0.352102i | 0.00722011 | − | 0.0158098i | ||||
\(497\) | 4.70526 | + | 32.7258i | 0.211060 | + | 1.46795i | ||||
\(498\) | 6.72984 | + | 7.76665i | 0.301571 | + | 0.348032i | ||||
\(499\) | 6.51401 | + | 14.2637i | 0.291607 | + | 0.638531i | 0.997566 | − | 0.0697215i | \(-0.0222111\pi\) |
−0.705959 | + | 0.708253i | \(0.749484\pi\) | |||||||
\(500\) | −0.841254 | + | 0.540641i | −0.0376220 | + | 0.0241782i | ||||
\(501\) | 2.50579 | − | 17.4281i | 0.111950 | − | 0.778632i | ||||
\(502\) | −1.06637 | − | 0.685317i | −0.0475946 | − | 0.0305872i | ||||
\(503\) | 26.2144 | − | 30.2530i | 1.16884 | − | 1.34891i | 0.243443 | − | 0.969915i | \(-0.421723\pi\) |
0.925397 | − | 0.378998i | \(-0.123731\pi\) | |||||||
\(504\) | 2.33268 | + | 0.684937i | 0.103906 | + | 0.0305095i | ||||
\(505\) | 10.9176 | 0.485826 | ||||||||
\(506\) | −0.811551 | − | 0.679313i | −0.0360778 | − | 0.0301992i | ||||
\(507\) | 2.55532 | 0.113486 | ||||||||
\(508\) | 9.42688 | + | 2.76798i | 0.418250 | + | 0.122809i | ||||
\(509\) | −19.5729 | + | 22.5883i | −0.867553 | + | 1.00121i | 0.132396 | + | 0.991197i | \(0.457733\pi\) |
−0.999950 | + | 0.0100132i | \(0.996813\pi\) | |||||||
\(510\) | −2.96949 | − | 1.90838i | −0.131491 | − | 0.0845043i | ||||
\(511\) | 1.64777 | − | 11.4605i | 0.0728931 | − | 0.506983i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | 0.199790 | + | 0.437478i | 0.00882093 | + | 0.0193151i | ||||
\(514\) | −9.91735 | − | 11.4452i | −0.437435 | − | 0.504827i | ||||
\(515\) | −0.891694 | − | 6.20187i | −0.0392927 | − | 0.273287i | ||||
\(516\) | 3.89659 | − | 8.53233i | 0.171538 | − | 0.375615i | ||||
\(517\) | 0.850548 | − | 0.249743i | 0.0374071 | − | 0.0109837i | ||||
\(518\) | 6.49165 | − | 1.90612i | 0.285227 | − | 0.0837501i | ||||
\(519\) | 7.47756 | − | 16.3736i | 0.328228 | − | 0.718720i | ||||
\(520\) | 0.459936 | + | 3.19893i | 0.0201695 | + | 0.140282i | ||||
\(521\) | −10.8301 | − | 12.4986i | −0.474474 | − | 0.547572i | 0.467177 | − | 0.884164i | \(-0.345271\pi\) |
−0.941651 | + | 0.336592i | \(0.890726\pi\) | |||||||
\(522\) | −0.313052 | − | 0.685489i | −0.0137019 | − | 0.0300030i | ||||
\(523\) | −15.0605 | + | 9.67881i | −0.658551 | + | 0.423225i | −0.826782 | − | 0.562523i | \(-0.809831\pi\) |
0.168231 | + | 0.985748i | \(0.446195\pi\) | |||||||
\(524\) | −1.66432 | + | 11.5756i | −0.0727064 | + | 0.505684i | ||||
\(525\) | 2.04522 | + | 1.31438i | 0.0892608 | + | 0.0573644i | ||||
\(526\) | −3.15058 | + | 3.63597i | −0.137372 | + | 0.158536i | ||||
\(527\) | 1.31099 | + | 0.384941i | 0.0571076 | + | 0.0167683i | ||||
\(528\) | −0.220679 | −0.00960382 | ||||||||
\(529\) | 4.04829 | + | 22.6409i | 0.176013 | + | 0.984388i | ||||
\(530\) | 3.50682 | 0.152327 | ||||||||
\(531\) | 0.490289 | + | 0.143962i | 0.0212767 | + | 0.00624741i | ||||
\(532\) | −0.765690 | + | 0.883654i | −0.0331969 | + | 0.0383112i | ||||
\(533\) | 17.6145 | + | 11.3202i | 0.762969 | + | 0.490331i | ||||
\(534\) | −1.36166 | + | 9.47057i | −0.0589249 | + | 0.409832i | ||||
\(535\) | −7.42684 | + | 4.77294i | −0.321090 | + | 0.206352i | ||||
\(536\) | −0.662219 | − | 1.45006i | −0.0286035 | − | 0.0626330i | ||||
\(537\) | 1.90969 | + | 2.20390i | 0.0824092 | + | 0.0951053i | ||||
\(538\) | 0.0990205 | + | 0.688703i | 0.00426908 | + | 0.0296921i | ||||
\(539\) | −0.0998752 | + | 0.218696i | −0.00430193 | + | 0.00941991i | ||||
\(540\) | −0.959493 | + | 0.281733i | −0.0412900 | + | 0.0121238i | ||||
\(541\) | 5.64536 | − | 1.65763i | 0.242713 | − | 0.0712670i | −0.158113 | − | 0.987421i | \(-0.550541\pi\) |
0.400827 | + | 0.916154i | \(0.368723\pi\) | |||||||
\(542\) | −9.18340 | + | 20.1088i | −0.394461 | + | 0.863749i | ||||
\(543\) | −0.202306 | − | 1.40707i | −0.00868176 | − | 0.0603830i | ||||
\(544\) | 2.31155 | + | 2.66768i | 0.0991070 | + | 0.114376i | ||||
\(545\) | −2.03058 | − | 4.44634i | −0.0869803 | − | 0.190460i | ||||
\(546\) | 6.60979 | − | 4.24785i | 0.282873 | − | 0.181791i | ||||
\(547\) | −3.21336 | + | 22.3494i | −0.137393 | + | 0.955592i | 0.798170 | + | 0.602433i | \(0.205802\pi\) |
−0.935563 | + | 0.353160i | \(0.885107\pi\) | |||||||
\(548\) | 6.66475 | + | 4.28317i | 0.284704 | + | 0.182968i | ||||
\(549\) | −2.75460 | + | 3.17898i | −0.117563 | + | 0.135675i | ||||
\(550\) | −0.211740 | − | 0.0621724i | −0.00902862 | − | 0.00265104i | ||||
\(551\) | 0.362431 | 0.0154401 | ||||||||
\(552\) | 3.67752 | + | 3.07829i | 0.156526 | + | 0.131021i | ||||
\(553\) | 0.543938 | 0.0231306 | ||||||||
\(554\) | 5.24003 | + | 1.53861i | 0.222628 | + | 0.0653693i | ||||
\(555\) | −1.82242 | + | 2.10319i | −0.0773575 | + | 0.0892753i | ||||
\(556\) | 12.4050 | + | 7.97224i | 0.526091 | + | 0.338098i | ||||
\(557\) | −1.61437 | + | 11.2282i | −0.0684031 | + | 0.475754i | 0.926611 | + | 0.376021i | \(0.122708\pi\) |
−0.995014 | + | 0.0997332i | \(0.968201\pi\) | |||||||
\(558\) | 0.325634 | − | 0.209272i | 0.0137852 | − | 0.00885919i | ||||
\(559\) | −12.5931 | − | 27.5750i | −0.532630 | − | 1.16630i | ||||
\(560\) | −1.59207 | − | 1.83735i | −0.0672772 | − | 0.0776421i | ||||
\(561\) | −0.110858 | − | 0.771033i | −0.00468042 | − | 0.0325530i | ||||
\(562\) | 5.30560 | − | 11.6176i | 0.223803 | − | 0.490061i | ||||
\(563\) | −4.46225 | + | 1.31024i | −0.188062 | + | 0.0552199i | −0.374407 | − | 0.927264i | \(-0.622154\pi\) |
0.186346 | + | 0.982484i | \(0.440336\pi\) | |||||||
\(564\) | −3.85423 | + | 1.13170i | −0.162292 | + | 0.0476534i | ||||
\(565\) | 4.77833 | − | 10.4631i | 0.201026 | − | 0.440185i | ||||
\(566\) | 2.56825 | + | 17.8626i | 0.107952 | + | 0.750820i | ||||
\(567\) | 1.59207 | + | 1.83735i | 0.0668607 | + | 0.0771613i | ||||
\(568\) | 5.64939 | + | 12.3704i | 0.237043 | + | 0.519052i | ||||
\(569\) | 24.6514 | − | 15.8425i | 1.03344 | − | 0.664151i | 0.0900834 | − | 0.995934i | \(-0.471287\pi\) |
0.943356 | + | 0.331783i | \(0.107650\pi\) | |||||||
\(570\) | 0.0684449 | − | 0.476045i | 0.00286684 | − | 0.0199393i | ||||
\(571\) | 26.5400 | + | 17.0562i | 1.11066 | + | 0.713780i | 0.961438 | − | 0.275023i | \(-0.0886853\pi\) |
0.149226 | + | 0.988803i | \(0.452322\pi\) | |||||||
\(572\) | −0.467044 | + | 0.538997i | −0.0195281 | + | 0.0225366i | ||||
\(573\) | 22.8257 | + | 6.70223i | 0.953557 | + | 0.279989i | ||||
\(574\) | −15.7511 | −0.657436 | ||||||||
\(575\) | 2.66130 | + | 3.98967i | 0.110984 | + | 0.166381i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −35.2760 | − | 10.3580i | −1.46856 | − | 0.431207i | −0.552928 | − | 0.833229i | \(-0.686489\pi\) |
−0.915630 | + | 0.402022i | \(0.868308\pi\) | |||||||
\(578\) | 2.97322 | − | 3.43128i | 0.123670 | − | 0.142722i | ||||
\(579\) | 22.4233 | + | 14.4106i | 0.931880 | + | 0.598883i | ||||
\(580\) | −0.107247 | + | 0.745919i | −0.00445319 | + | 0.0309726i | ||||
\(581\) | −21.0182 | + | 13.5076i | −0.871983 | + | 0.560389i | ||||
\(582\) | −1.56485 | − | 3.42655i | −0.0648652 | − | 0.142035i | ||||
\(583\) | 0.506785 | + | 0.584861i | 0.0209889 | + | 0.0242225i | ||||
\(584\) | −0.677772 | − | 4.71401i | −0.0280464 | − | 0.195067i | ||||
\(585\) | −1.34255 | + | 2.93977i | −0.0555075 | + | 0.121544i | ||||
\(586\) | −9.86757 | + | 2.89738i | −0.407626 | + | 0.119690i | ||||
\(587\) | 2.99135 | − | 0.878340i | 0.123466 | − | 0.0362530i | −0.219416 | − | 0.975631i | \(-0.570415\pi\) |
0.342882 | + | 0.939378i | \(0.388597\pi\) | |||||||
\(588\) | 0.452581 | − | 0.991015i | 0.0186641 | − | 0.0408688i | ||||
\(589\) | 0.0264937 | + | 0.184268i | 0.00109166 | + | 0.00759263i | ||||
\(590\) | −0.334626 | − | 0.386179i | −0.0137763 | − | 0.0158987i | ||||
\(591\) | 0.733542 | + | 1.60623i | 0.0301739 | + | 0.0660716i | ||||
\(592\) | 2.34114 | − | 1.50456i | 0.0962202 | − | 0.0618370i | ||||
\(593\) | 0.878782 | − | 6.11206i | 0.0360873 | − | 0.250992i | −0.963790 | − | 0.266663i | \(-0.914079\pi\) |
0.999877 | + | 0.0156702i | \(0.00498817\pi\) | |||||||
\(594\) | −0.185647 | − | 0.119308i | −0.00761719 | − | 0.00489527i | ||||
\(595\) | 5.61975 | − | 6.48554i | 0.230387 | − | 0.265881i | ||||
\(596\) | 18.4341 | + | 5.41275i | 0.755091 | + | 0.221715i | ||||
\(597\) | −7.92116 | −0.324192 | ||||||||
\(598\) | 15.3016 | − | 2.46728i | 0.625730 | − | 0.100895i | ||||
\(599\) | 12.4410 | 0.508324 | 0.254162 | − | 0.967162i | \(-0.418200\pi\) | ||||
0.254162 | + | 0.967162i | \(0.418200\pi\) | |||||||
\(600\) | 0.959493 | + | 0.281733i | 0.0391711 | + | 0.0115017i | ||||
\(601\) | 3.53560 | − | 4.08030i | 0.144220 | − | 0.166439i | −0.679044 | − | 0.734098i | \(-0.737605\pi\) |
0.823264 | + | 0.567659i | \(0.192151\pi\) | |||||||
\(602\) | 19.1841 | + | 12.3289i | 0.781887 | + | 0.502488i | ||||
\(603\) | 0.226866 | − | 1.57789i | 0.00923871 | − | 0.0642566i | ||||
\(604\) | 8.84544 | − | 5.68462i | 0.359916 | − | 0.231304i | ||||
\(605\) | 4.54933 | + | 9.96165i | 0.184957 | + | 0.404999i | ||||
\(606\) | −7.14949 | − | 8.25095i | −0.290428 | − | 0.335172i | ||||
\(607\) | 0.615519 | + | 4.28103i | 0.0249832 | + | 0.173762i | 0.998493 | − | 0.0548847i | \(-0.0174791\pi\) |
−0.973510 | + | 0.228646i | \(0.926570\pi\) | |||||||
\(608\) | −0.199790 | + | 0.437478i | −0.00810254 | + | 0.0177421i | ||||
\(609\) | 1.75788 | − | 0.516161i | 0.0712330 | − | 0.0209159i | ||||
\(610\) | 4.03600 | − | 1.18508i | 0.163413 | − | 0.0479824i | ||||
\(611\) | −5.39294 | + | 11.8089i | −0.218175 | + | 0.477737i | ||||
\(612\) | 0.502349 | + | 3.49391i | 0.0203062 | + | 0.141233i | ||||
\(613\) | −6.21419 | − | 7.17156i | −0.250989 | − | 0.289656i | 0.616248 | − | 0.787552i | \(-0.288652\pi\) |
−0.867237 | + | 0.497895i | \(0.834106\pi\) | |||||||
\(614\) | 1.31266 | + | 2.87431i | 0.0529745 | + | 0.115998i | ||||
\(615\) | 5.45034 | − | 3.50272i | 0.219779 | − | 0.141243i | ||||
\(616\) | 0.0763527 | − | 0.531045i | 0.00307634 | − | 0.0213964i | ||||
\(617\) | −15.2900 | − | 9.82627i | −0.615551 | − | 0.395591i | 0.195384 | − | 0.980727i | \(-0.437405\pi\) |
−0.810935 | + | 0.585136i | \(0.801041\pi\) | |||||||
\(618\) | −4.10312 | + | 4.73526i | −0.165052 | + | 0.190480i | ||||
\(619\) | −12.7592 | − | 3.74643i | −0.512834 | − | 0.150582i | 0.0150687 | − | 0.999886i | \(-0.495203\pi\) |
−0.527903 | + | 0.849305i | \(0.677021\pi\) | |||||||
\(620\) | −0.387081 | −0.0155456 | ||||||||
\(621\) | 1.42948 | + | 4.57784i | 0.0573630 | + | 0.183702i | ||||
\(622\) | −12.5800 | −0.504410 | ||||||||
\(623\) | −22.3190 | − | 6.55344i | −0.894191 | − | 0.262558i | ||||
\(624\) | 2.11639 | − | 2.44245i | 0.0847235 | − | 0.0977762i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | −2.00293 | + | 13.9307i | −0.0800531 | + | 0.556782i | ||||
\(627\) | 0.0892851 | − | 0.0573800i | 0.00356570 | − | 0.00229154i | ||||
\(628\) | 0.774135 | + | 1.69512i | 0.0308913 | + | 0.0676426i | ||||
\(629\) | 6.43286 | + | 7.42392i | 0.256495 | + | 0.296011i | ||||
\(630\) | −0.345990 | − | 2.40641i | −0.0137846 | − | 0.0958738i | ||||
\(631\) | 10.1655 | − | 22.2593i | 0.404682 | − | 0.886129i | −0.592092 | − | 0.805870i | \(-0.701698\pi\) |
0.996774 | − | 0.0802592i | \(-0.0255748\pi\) | |||||||
\(632\) | 0.214673 | − | 0.0630338i | 0.00853925 | − | 0.00250735i | ||||
\(633\) | 17.4701 | − | 5.12969i | 0.694375 | − | 0.203887i | ||||
\(634\) | 10.2692 | − | 22.4865i | 0.407843 | − | 0.893052i | ||||
\(635\) | −1.39822 | − | 9.72485i | −0.0554868 | − | 0.385919i | ||||
\(636\) | −2.29648 | − | 2.65028i | −0.0910614 | − | 0.105090i | ||||
\(637\) | −1.46266 | − | 3.20278i | −0.0579528 | − | 0.126899i | ||||
\(638\) | −0.139902 | + | 0.0899093i | −0.00553875 | + | 0.00355954i | ||||
\(639\) | −1.93540 | + | 13.4610i | −0.0765631 | + | 0.532508i | ||||
\(640\) | −0.841254 | − | 0.540641i | −0.0332535 | − | 0.0213707i | ||||
\(641\) | 10.1477 | − | 11.7111i | 0.400811 | − | 0.462561i | −0.519085 | − | 0.854723i | \(-0.673727\pi\) |
0.919896 | + | 0.392162i | \(0.128273\pi\) | |||||||
\(642\) | 8.47070 | + | 2.48722i | 0.334312 | + | 0.0981628i | ||||
\(643\) | 25.2201 | 0.994585 | 0.497293 | − | 0.867583i | \(-0.334328\pi\) | ||||
0.497293 | + | 0.867583i | \(0.334328\pi\) | |||||||
\(644\) | −8.68002 | + | 7.78457i | −0.342041 | + | 0.306755i | ||||
\(645\) | −9.37998 | −0.369337 | ||||||||
\(646\) | −1.62888 | − | 0.478281i | −0.0640872 | − | 0.0188177i | ||||
\(647\) | −26.1607 | + | 30.1910i | −1.02848 | + | 1.18693i | −0.0463137 | + | 0.998927i | \(0.514747\pi\) |
−0.982168 | + | 0.188004i | \(0.939798\pi\) | |||||||
\(648\) | 0.841254 | + | 0.540641i | 0.0330476 | + | 0.0212384i | ||||
\(649\) | 0.0160480 | − | 0.111616i | 0.000629940 | − | 0.00438133i | ||||
\(650\) | 2.71878 | − | 1.74726i | 0.106639 | − | 0.0685330i | ||||
\(651\) | 0.390929 | + | 0.856015i | 0.0153217 | + | 0.0335499i | ||||
\(652\) | −3.93215 | − | 4.53795i | −0.153995 | − | 0.177720i | ||||
\(653\) | 1.08290 | + | 7.53176i | 0.0423773 | + | 0.294740i | 0.999978 | + | 0.00664158i | \(0.00211410\pi\) |
−0.957601 | + | 0.288099i | \(0.906977\pi\) | |||||||
\(654\) | −2.03058 | + | 4.44634i | −0.0794018 | + | 0.173866i | ||||
\(655\) | 11.2210 | − | 3.29477i | 0.438439 | − | 0.128737i | ||||
\(656\) | −6.21639 | + | 1.82530i | −0.242709 | + | 0.0712659i | ||||
\(657\) | 1.97841 | − | 4.33211i | 0.0771850 | − | 0.169012i | ||||
\(658\) | −1.38982 | − | 9.66643i | −0.0541809 | − | 0.376837i | ||||
\(659\) | 9.70837 | + | 11.2041i | 0.378184 | + | 0.436448i | 0.912650 | − | 0.408742i | \(-0.134032\pi\) |
−0.534465 | + | 0.845190i | \(0.679487\pi\) | |||||||
\(660\) | 0.0916734 | + | 0.200737i | 0.00356838 | + | 0.00781366i | ||||
\(661\) | 39.5001 | − | 25.3852i | 1.53638 | − | 0.987369i | 0.547806 | − | 0.836605i | \(-0.315463\pi\) |
0.988570 | − | 0.150764i | \(-0.0481732\pi\) | |||||||
\(662\) | −1.54646 | + | 10.7558i | −0.0601047 | + | 0.418037i | ||||
\(663\) | 9.59687 | + | 6.16753i | 0.372711 | + | 0.239527i | ||||
\(664\) | −6.72984 | + | 7.76665i | −0.261168 | + | 0.301404i | ||||
\(665\) | 1.12188 | + | 0.329413i | 0.0435046 | + | 0.0127741i | ||||
\(666\) | 2.78292 | 0.107836 | ||||||||
\(667\) | 3.58556 | + | 0.453211i | 0.138833 | + | 0.0175484i | ||||
\(668\) | 17.6074 | 0.681249 | ||||||||
\(669\) | −4.96505 | − | 1.45787i | −0.191960 | − | 0.0563645i | ||||
\(670\) | −1.04392 | + | 1.20475i | −0.0403303 | + | 0.0465436i | ||||
\(671\) | 0.780904 | + | 0.501856i | 0.0301464 | + | 0.0193739i | ||||
\(672\) | −0.345990 | + | 2.40641i | −0.0133469 | + | 0.0928294i | ||||
\(673\) | −5.70648 | + | 3.66733i | −0.219969 | + | 0.141365i | −0.645985 | − | 0.763350i | \(-0.723553\pi\) |
0.426016 | + | 0.904716i | \(0.359917\pi\) | |||||||
\(674\) | 4.50434 | + | 9.86313i | 0.173501 | + | 0.379914i | ||||
\(675\) | 0.654861 | + | 0.755750i | 0.0252056 | + | 0.0290888i | ||||
\(676\) | 0.363661 | + | 2.52932i | 0.0139869 | + | 0.0972814i | ||||
\(677\) | −14.1673 | + | 31.0220i | −0.544492 | + | 1.19227i | 0.414814 | + | 0.909906i | \(0.363846\pi\) |
−0.959307 | + | 0.282366i | \(0.908881\pi\) | |||||||
\(678\) | −11.0366 | + | 3.24064i | −0.423859 | + | 0.124456i | ||||
\(679\) | 8.78711 | − | 2.58013i | 0.337218 | − | 0.0990162i | ||||
\(680\) | 1.46635 | − | 3.21086i | 0.0562319 | − | 0.123131i | ||||
\(681\) | 0.288500 | + | 2.00656i | 0.0110553 | + | 0.0768915i | ||||
\(682\) | −0.0559387 | − | 0.0645567i | −0.00214200 | − | 0.00247200i | ||||
\(683\) | −19.8830 | − | 43.5378i | −0.760803 | − | 1.66593i | −0.745919 | − | 0.666037i | \(-0.767989\pi\) |
−0.0148841 | − | 0.999889i | \(-0.504738\pi\) | |||||||
\(684\) | −0.404593 | + | 0.260016i | −0.0154700 | + | 0.00994195i | ||||
\(685\) | 1.12747 | − | 7.84176i | 0.0430786 | − | 0.299618i | ||||
\(686\) | 16.5447 | + | 10.6327i | 0.631681 | + | 0.405957i | ||||
\(687\) | −1.84354 | + | 2.12756i | −0.0703355 | + | 0.0811715i | ||||
\(688\) | 9.00003 | + | 2.64265i | 0.343123 | + | 0.100750i | ||||
\(689\) | −11.3334 | −0.431769 | ||||||||
\(690\) | 1.27241 | − | 4.62396i | 0.0484399 | − | 0.176031i | ||||
\(691\) | 6.54186 | 0.248864 | 0.124432 | − | 0.992228i | \(-0.460289\pi\) | ||||
0.124432 | + | 0.992228i | \(0.460289\pi\) | |||||||
\(692\) | 17.2711 | + | 5.07124i | 0.656548 | + | 0.192780i | ||||
\(693\) | 0.351336 | − | 0.405464i | 0.0133462 | − | 0.0154023i | ||||
\(694\) | 21.8270 | + | 14.0274i | 0.828542 | + | 0.532472i | ||||
\(695\) | 2.09856 | − | 14.5958i | 0.0796029 | − | 0.553651i | ||||
\(696\) | 0.633960 | − | 0.407421i | 0.0240302 | − | 0.0154433i | ||||
\(697\) | −9.50022 | − | 20.8026i | −0.359846 | − | 0.787954i | ||||
\(698\) | −23.0651 | − | 26.6185i | −0.873026 | − | 1.00753i | ||||
\(699\) | −0.763151 | − | 5.30783i | −0.0288650 | − | 0.200761i | ||||
\(700\) | −1.00994 | + | 2.21146i | −0.0381721 | + | 0.0835853i | ||||
\(701\) | 18.7119 | − | 5.49431i | 0.706739 | − | 0.207517i | 0.0914396 | − | 0.995811i | \(-0.470853\pi\) |
0.615300 | + | 0.788293i | \(0.289035\pi\) | |||||||
\(702\) | 3.10091 | − | 0.910510i | 0.117036 | − | 0.0343650i | ||||
\(703\) | −0.555998 | + | 1.21747i | −0.0209699 | + | 0.0459176i | ||||
\(704\) | −0.0314059 | − | 0.218433i | −0.00118365 | − | 0.00823249i | ||||
\(705\) | 2.63054 | + | 3.03581i | 0.0990719 | + | 0.114335i | ||||
\(706\) | 9.76035 | + | 21.3722i | 0.367336 | + | 0.804353i | ||||
\(707\) | 22.3289 | − | 14.3499i | 0.839763 | − | 0.539683i | ||||
\(708\) | −0.0727211 | + | 0.505786i | −0.00273303 | + | 0.0190086i | ||||
\(709\) | −24.6113 | − | 15.8167i | −0.924297 | − | 0.594009i | −0.0103955 | − | 0.999946i | \(-0.503309\pi\) |
−0.913901 | + | 0.405937i | \(0.866945\pi\) | |||||||
\(710\) | 8.90571 | − | 10.2777i | 0.334225 | − | 0.385717i | ||||
\(711\) | 0.214673 | + | 0.0630338i | 0.00805088 | + | 0.00236395i | ||||
\(712\) | −9.56796 | −0.358574 | ||||||||
\(713\) | 0.0316820 | + | 1.85611i | 0.00118650 | + | 0.0695117i | ||||
\(714\) | −8.58160 | −0.321158 | ||||||||
\(715\) | 0.684306 | + | 0.200930i | 0.0255916 | + | 0.00751437i | ||||
\(716\) | −1.90969 | + | 2.20390i | −0.0713685 | + | 0.0823636i | ||||
\(717\) | −21.7460 | − | 13.9753i | −0.812121 | − | 0.521918i | ||||
\(718\) | −4.26024 | + | 29.6306i | −0.158991 | + | 1.10580i | ||||
\(719\) | 17.9674 | − | 11.5469i | 0.670070 | − | 0.430628i | −0.160881 | − | 0.986974i | \(-0.551433\pi\) |
0.830951 | + | 0.556346i | \(0.187797\pi\) | |||||||
\(720\) | −0.415415 | − | 0.909632i | −0.0154816 | − | 0.0339000i | ||||
\(721\) | −9.97534 | − | 11.5122i | −0.371501 | − | 0.428735i | ||||
\(722\) | 2.67106 | + | 18.5777i | 0.0994067 | + | 0.691389i | ||||
\(723\) | −5.53890 | + | 12.1285i | −0.205994 | + | 0.451064i | ||||
\(724\) | 1.36395 | − | 0.400493i | 0.0506909 | − | 0.0148842i | ||||
\(725\) | 0.723064 | − | 0.212311i | 0.0268539 | − | 0.00788502i | ||||
\(726\) | 4.54933 | − | 9.96165i | 0.168842 | − | 0.369712i | ||||
\(727\) | −3.41736 | − | 23.7683i | −0.126743 | − | 0.881516i | −0.949644 | − | 0.313331i | \(-0.898555\pi\) |
0.822901 | − | 0.568185i | \(-0.192354\pi\) | |||||||
\(728\) | 5.14529 | + | 5.93798i | 0.190697 | + | 0.220076i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −4.00646 | + | 2.57479i | −0.148286 | + | 0.0952974i | ||||
\(731\) | −4.71202 | + | 32.7728i | −0.174280 | + | 1.21215i | ||||
\(732\) | −3.53864 | − | 2.27415i | −0.130792 | − | 0.0840549i | ||||
\(733\) | 19.9061 | − | 22.9728i | 0.735247 | − | 0.848520i | −0.257805 | − | 0.966197i | \(-0.582999\pi\) |
0.993052 | + | 0.117677i | \(0.0375447\pi\) | |||||||
\(734\) | 26.3614 | + | 7.74041i | 0.973017 | + | 0.285704i | ||||
\(735\) | −1.08947 | −0.0401856 | ||||||||
\(736\) | −2.52359 | + | 4.07817i | −0.0930207 | + | 0.150323i | ||||
\(737\) | −0.351788 | −0.0129583 | ||||||||
\(738\) | −6.21639 | − | 1.82530i | −0.228828 | − | 0.0671901i | ||||
\(739\) | −20.3015 | + | 23.4292i | −0.746805 | + | 0.861858i | −0.994254 | − | 0.107042i | \(-0.965862\pi\) |
0.247450 | + | 0.968901i | \(0.420407\pi\) | |||||||
\(740\) | −2.34114 | − | 1.50456i | −0.0860619 | − | 0.0553087i | ||||
\(741\) | −0.221202 | + | 1.53849i | −0.00812605 | + | 0.0565179i | ||||
\(742\) | 7.17223 | − | 4.60931i | 0.263301 | − | 0.169213i | ||||
\(743\) | −9.42898 | − | 20.6466i | −0.345916 | − | 0.757450i | −0.999999 | − | 0.00102764i | \(-0.999673\pi\) |
0.654084 | − | 0.756422i | \(-0.273054\pi\) | |||||||
\(744\) | 0.253484 | + | 0.292537i | 0.00929319 | + | 0.0107249i | ||||
\(745\) | −2.73420 | − | 19.0168i | −0.100173 | − | 0.696722i | ||||
\(746\) | 13.2640 | − | 29.0441i | 0.485630 | − | 1.06338i | ||||
\(747\) | −9.86047 | + | 2.89529i | −0.360776 | + | 0.105933i | ||||
\(748\) | 0.747408 | − | 0.219459i | 0.0273279 | − | 0.00802421i | ||||
\(749\) | −8.91606 | + | 19.5234i | −0.325786 | + | 0.713371i | ||||
\(750\) | −0.142315 | − | 0.989821i | −0.00519660 | − | 0.0361432i | ||||
\(751\) | 8.73340 | + | 10.0789i | 0.318686 | + | 0.367784i | 0.892379 | − | 0.451287i | \(-0.149035\pi\) |
−0.573693 | + | 0.819071i | \(0.694490\pi\) | |||||||
\(752\) | −1.66870 | − | 3.65394i | −0.0608512 | − | 0.133246i | ||||
\(753\) | 1.06637 | − | 0.685317i | 0.0388609 | − | 0.0249744i | ||||
\(754\) | 0.346603 | − | 2.41068i | 0.0126225 | − | 0.0877917i | ||||
\(755\) | −8.84544 | − | 5.68462i | −0.321919 | − | 0.206885i | ||||
\(756\) | −1.59207 | + | 1.83735i | −0.0579030 | + | 0.0668237i | ||||
\(757\) | 25.6368 | + | 7.52763i | 0.931784 | + | 0.273596i | 0.712183 | − | 0.701993i | \(-0.247706\pi\) |
0.219600 | + | 0.975590i | \(0.429525\pi\) | |||||||
\(758\) | 11.5421 | 0.419227 | ||||||||
\(759\) | 0.955056 | − | 0.456016i | 0.0346663 | − | 0.0165523i | ||||
\(760\) | 0.480940 | 0.0174455 | ||||||||
\(761\) | −38.2141 | − | 11.2207i | −1.38526 | − | 0.406749i | −0.497663 | − | 0.867371i | \(-0.665808\pi\) |
−0.887596 | + | 0.460622i | \(0.847626\pi\) | |||||||
\(762\) | −6.43391 | + | 7.42513i | −0.233076 | + | 0.268984i | ||||
\(763\) | −9.99717 | − | 6.42479i | −0.361922 | − | 0.232593i | ||||
\(764\) | −3.38557 | + | 23.5472i | −0.122486 | + | 0.851907i | ||||
\(765\) | 2.96949 | − | 1.90838i | 0.107362 | − | 0.0689975i | ||||
\(766\) | 7.70734 | + | 16.8767i | 0.278477 | + | 0.609780i | ||||
\(767\) | 1.08145 | + | 1.24806i | 0.0390489 | + | 0.0450648i | ||||
\(768\) | 0.142315 | + | 0.989821i | 0.00513534 | + | 0.0357171i | ||||
\(769\) | 5.80490 | − | 12.7110i | 0.209330 | − | 0.458369i | −0.775622 | − | 0.631198i | \(-0.782564\pi\) |
0.984952 | + | 0.172829i | \(0.0552909\pi\) | |||||||
\(770\) | −0.514773 | + | 0.151151i | −0.0185511 | + | 0.00544711i | ||||
\(771\) | 14.5308 | − | 4.26662i | 0.523313 | − | 0.153658i | ||||
\(772\) | −11.0727 | + | 24.2459i | −0.398516 | + | 0.872629i | ||||
\(773\) | −2.25892 | − | 15.7111i | −0.0812478 | − | 0.565091i | −0.989262 | − | 0.146152i | \(-0.953311\pi\) |
0.908014 | − | 0.418939i | \(-0.137598\pi\) | |||||||
\(774\) | 6.14258 | + | 7.08892i | 0.220791 | + | 0.254806i | ||||
\(775\) | 0.160799 | + | 0.352102i | 0.00577608 | + | 0.0126479i | ||||
\(776\) | 3.16897 | − | 2.03657i | 0.113759 | − | 0.0731087i | ||||
\(777\) | −0.962861 | + | 6.69685i | −0.0345424 | + | 0.240248i | ||||
\(778\) | −13.7264 | − | 8.82143i | −0.492116 | − | 0.316264i | ||||
\(779\) | 2.04050 | − | 2.35486i | 0.0731084 | − | 0.0843716i | ||||
\(780\) | −3.10091 | − | 0.910510i | −0.111030 | − | 0.0326015i | ||||
\(781\) | 3.00110 | 0.107388 | ||||||||
\(782\) | −15.5165 | − | 6.76853i | −0.554869 | − | 0.242042i | ||||
\(783\) | 0.753589 | 0.0269311 | ||||||||
\(784\) | 1.04534 | + | 0.306939i | 0.0373335 | + | 0.0109621i | ||||
\(785\) | 1.22035 | − | 1.40836i | 0.0435561 | − | 0.0502664i | ||||
\(786\) | −9.83818 | − | 6.32262i | −0.350916 | − | 0.225520i | ||||
\(787\) | −5.66341 | + | 39.3899i | −0.201879 | + | 1.40410i | 0.596824 | + | 0.802372i | \(0.296429\pi\) |
−0.798703 | + | 0.601726i | \(0.794480\pi\) | |||||||
\(788\) | −1.48549 | + | 0.954666i | −0.0529184 | + | 0.0340086i | ||||
\(789\) | −1.99859 | − | 4.37631i | −0.0711518 | − | 0.155801i | ||||
\(790\) | −0.146516 | − | 0.169089i | −0.00521281 | − | 0.00601590i | ||||
\(791\) | −3.97977 | − | 27.6799i | −0.141504 | − | 0.984183i | ||||
\(792\) | 0.0916734 | − | 0.200737i | 0.00325747 | − | 0.00713287i | ||||
\(793\) | −13.0436 | + | 3.82996i | −0.463193 | + | 0.136006i | ||||
\(794\) | 17.2669 | − | 5.07001i | 0.612778 | − | 0.179928i | ||||
\(795\) | −1.45679 | + | 3.18992i | −0.0516669 | + | 0.113135i | ||||
\(796\) | −1.12730 | − | 7.84054i | −0.0399561 | − | 0.277900i | ||||
\(797\) | −24.5269 | − | 28.3055i | −0.868787 | − | 1.00263i | −0.999936 | − | 0.0112711i | \(-0.996412\pi\) |
0.131149 | − | 0.991363i | \(-0.458133\pi\) | |||||||
\(798\) | −0.485720 | − | 1.06358i | −0.0171943 | − | 0.0376503i | ||||
\(799\) | 11.9283 | − | 7.66584i | 0.421992 | − | 0.271198i | ||||
\(800\) | −0.142315 | + | 0.989821i | −0.00503159 | + | 0.0349955i | ||||
\(801\) | −8.04908 | − | 5.17283i | −0.284400 | − | 0.182773i | ||||
\(802\) | 2.09680 | − | 2.41983i | 0.0740404 | − | 0.0854472i | ||||
\(803\) | −1.00841 | − | 0.296095i | −0.0355859 | − | 0.0104490i | ||||
\(804\) | 1.59412 | 0.0562201 | ||||||||
\(805\) | 10.6869 | + | 4.66179i | 0.376664 | + | 0.164307i | ||||
\(806\) | 1.25098 | 0.0440638 | ||||||||
\(807\) | −0.667601 | − | 0.196025i | −0.0235007 | − | 0.00690042i | ||||
\(808\) | 7.14949 | − | 8.25095i | 0.251518 | − | 0.290268i | ||||
\(809\) | −7.60733 | − | 4.88893i | −0.267459 | − | 0.171886i | 0.400036 | − | 0.916499i | \(-0.368997\pi\) |
−0.667496 | + | 0.744613i | \(0.732634\pi\) | |||||||
\(810\) | 0.142315 | − | 0.989821i | 0.00500043 | − | 0.0347788i | ||||
\(811\) | 44.1155 | − | 28.3513i | 1.54911 | − | 0.995549i | 0.563572 | − | 0.826067i | \(-0.309427\pi\) |
0.985533 | − | 0.169482i | \(-0.0542096\pi\) | |||||||
\(812\) | 0.761080 | + | 1.66653i | 0.0267087 | + | 0.0584838i | ||||
\(813\) | −14.4767 | − | 16.7070i | −0.507721 | − | 0.585941i | ||||
\(814\) | −0.0874000 | − | 0.607880i | −0.00306337 | − | 0.0213062i | ||||
\(815\) | −2.49439 | + | 5.46194i | −0.0873745 | + | 0.191324i | ||||
\(816\) | −3.38686 | + | 0.994471i | −0.118564 | + | 0.0348134i | ||||
\(817\) | −4.32847 | + | 1.27095i | −0.151434 | + | 0.0444651i | ||||
\(818\) | 2.52276 | − | 5.52408i | 0.0882064 | − | 0.193145i | ||||
\(819\) | 1.11818 | + | 7.77710i | 0.0390723 | + | 0.271754i | ||||
\(820\) | 4.24273 | + | 4.89637i | 0.148163 | + | 0.170989i | ||||
\(821\) | 5.22859 | + | 11.4490i | 0.182479 | + | 0.399573i | 0.978660 | − | 0.205485i | \(-0.0658771\pi\) |
−0.796181 | + | 0.605058i | \(0.793150\pi\) | |||||||
\(822\) | −6.66475 | + | 4.28317i | −0.232460 | + | 0.149393i | ||||
\(823\) | −1.60817 | + | 11.1851i | −0.0560574 | + | 0.389888i | 0.942406 | + | 0.334471i | \(0.108558\pi\) |
−0.998463 | + | 0.0554165i | \(0.982351\pi\) | |||||||
\(824\) | −5.27099 | − | 3.38746i | −0.183624 | − | 0.118008i | ||||
\(825\) | 0.144514 | − | 0.166778i | 0.00503133 | − | 0.00580647i | ||||
\(826\) | −1.19197 | − | 0.349994i | −0.0414739 | − | 0.0121778i | ||||
\(827\) | −40.7771 | −1.41796 | −0.708979 | − | 0.705229i | \(-0.750844\pi\) | ||||
−0.708979 | + | 0.705229i | \(0.750844\pi\) | |||||||
\(828\) | −4.32781 | + | 2.06642i | −0.150402 | + | 0.0718131i | ||||
\(829\) | −25.6051 | −0.889302 | −0.444651 | − | 0.895704i | \(-0.646672\pi\) | ||||
−0.444651 | + | 0.895704i | \(0.646672\pi\) | |||||||
\(830\) | 9.86047 | + | 2.89529i | 0.342262 | + | 0.100497i | ||||
\(831\) | −3.57636 | + | 4.12734i | −0.124062 | + | 0.143176i | ||||
\(832\) | 2.71878 | + | 1.74726i | 0.0942568 | + | 0.0605752i | ||||
\(833\) | −0.547293 | + | 3.80650i | −0.0189626 | + | 0.131888i | ||||
\(834\) | −12.4050 | + | 7.97224i | −0.429551 | + | 0.276056i | ||||
\(835\) | −7.31436 | − | 16.0162i | −0.253124 | − | 0.554264i | ||||
\(836\) | 0.0695026 | + | 0.0802102i | 0.00240380 | + | 0.00277413i | ||||
\(837\) | 0.0550874 | + | 0.383141i | 0.00190410 | + | 0.0132433i | ||||
\(838\) | −0.399677 | + | 0.875169i | −0.0138066 | + | 0.0302322i | ||||
\(839\) | −4.75936 | + | 1.39747i | −0.164311 | + | 0.0482462i | −0.362854 | − | 0.931846i | \(-0.618197\pi\) |
0.198542 | + | 0.980092i | \(0.436379\pi\) | |||||||
\(840\) | 2.33268 | − | 0.684937i | 0.0804851 | − | 0.0236326i | ||||
\(841\) | −11.8111 | + | 25.8628i | −0.407280 | + | 0.891819i | ||||
\(842\) | 5.51664 | + | 38.3691i | 0.190116 | + | 1.32229i | ||||
\(843\) | 8.36375 | + | 9.65228i | 0.288063 | + | 0.332442i | ||||
\(844\) | 7.56373 | + | 16.5623i | 0.260354 | + | 0.570096i | ||||
\(845\) | 2.14968 | − | 1.38151i | 0.0739511 | − | 0.0475255i | ||||
\(846\) | 0.571671 | − | 3.97606i | 0.0196545 | − | 0.136700i | ||||
\(847\) | 22.3978 | + | 14.3942i | 0.769598 | + | 0.494591i | ||||
\(848\) | 2.29648 | − | 2.65028i | 0.0788615 | − | 0.0910110i | ||||
\(849\) | −17.3153 | − | 5.08422i | −0.594258 | − | 0.174490i | ||||
\(850\) | −3.52984 | −0.121073 | ||||||||
\(851\) | −7.02294 | + | 11.3492i | −0.240743 | + | 0.389046i | ||||
\(852\) | −13.5994 | −0.465908 | ||||||||
\(853\) | 24.9866 | + | 7.33674i | 0.855526 | + | 0.251205i | 0.679948 | − | 0.733260i | \(-0.262002\pi\) |
0.175578 | + | 0.984466i | \(0.443821\pi\) | |||||||
\(854\) | 6.69687 | − | 7.72860i | 0.229162 | − | 0.264467i | ||||
\(855\) | 0.404593 | + | 0.260016i | 0.0138368 | + | 0.00889235i | ||||
\(856\) | −1.25640 | + | 8.73845i | −0.0429428 | + | 0.298674i | ||||
\(857\) | 4.11605 | − | 2.64523i | 0.140602 | − | 0.0903592i | −0.468449 | − | 0.883491i | \(-0.655187\pi\) |
0.609051 | + | 0.793131i | \(0.291551\pi\) | |||||||
\(858\) | −0.296272 | − | 0.648745i | −0.0101146 | − | 0.0221478i | ||||
\(859\) | 15.8835 | + | 18.3305i | 0.541938 | + | 0.625430i | 0.958986 | − | 0.283455i | \(-0.0914806\pi\) |
−0.417048 | + | 0.908885i | \(0.636935\pi\) | |||||||
\(860\) | −1.33491 | − | 9.28451i | −0.0455201 | − | 0.316599i | ||||
\(861\) | 6.54323 | − | 14.3277i | 0.222993 | − | 0.488286i | ||||
\(862\) | −22.0512 | + | 6.47481i | −0.751066 | + | 0.220533i | ||||
\(863\) | −34.7836 | + | 10.2134i | −1.18405 | + | 0.347668i | −0.813733 | − | 0.581239i | \(-0.802568\pi\) |
−0.370314 | + | 0.928907i | \(0.620750\pi\) | |||||||
\(864\) | −0.415415 | + | 0.909632i | −0.0141327 | + | 0.0309463i | ||||
\(865\) | −2.56170 | − | 17.8170i | −0.0871003 | − | 0.605796i | ||||
\(866\) | −14.2262 | − | 16.4180i | −0.483427 | − | 0.557905i | ||||
\(867\) | 1.88608 | + | 4.12994i | 0.0640546 | + | 0.140260i | ||||
\(868\) | −0.791667 | + | 0.508773i | −0.0268709 | + | 0.0172689i | ||||
\(869\) | 0.00702664 | − | 0.0488713i | 0.000238362 | − | 0.00165785i | ||||
\(870\) | −0.633960 | − | 0.407421i | −0.0214932 | − | 0.0138129i | ||||
\(871\) | 3.37377 | − | 3.89354i | 0.114316 | − | 0.131928i | ||||
\(872\) | −4.69007 | − | 1.37713i | −0.158826 | − | 0.0466354i | ||||
\(873\) | 3.76696 | 0.127492 | ||||||||
\(874\) | −0.0393642 | − | 2.30617i | −0.00133151 | − | 0.0780074i | ||||
\(875\) | 2.43116 | 0.0821882 | ||||||||
\(876\) | 4.56957 | + | 1.34175i | 0.154391 | + | 0.0453334i | ||||
\(877\) | −30.6526 | + | 35.3750i | −1.03507 | + | 1.19453i | −0.0544649 | + | 0.998516i | \(0.517345\pi\) |
−0.980601 | + | 0.196014i | \(0.937200\pi\) | |||||||
\(878\) | −22.9927 | − | 14.7765i | −0.775965 | − | 0.498682i | ||||
\(879\) | 1.46359 | − | 10.1795i | 0.0493656 | − | 0.343345i | ||||
\(880\) | −0.185647 | + | 0.119308i | −0.00625816 | + | 0.00402187i | ||||
\(881\) | 5.31107 | + | 11.6296i | 0.178934 | + | 0.391812i | 0.977753 | − | 0.209761i | \(-0.0672684\pi\) |
−0.798818 | + | 0.601572i | \(0.794541\pi\) | |||||||
\(882\) | 0.713450 | + | 0.823365i | 0.0240231 | + | 0.0277241i | ||||
\(883\) | 4.93326 | + | 34.3116i | 0.166017 | + | 1.15468i | 0.887016 | + | 0.461739i | \(0.152774\pi\) |
−0.720999 | + | 0.692937i | \(0.756317\pi\) | |||||||
\(884\) | −4.73898 | + | 10.3769i | −0.159389 | + | 0.349013i | ||||
\(885\) | 0.490289 | − | 0.143962i | 0.0164809 | − | 0.00483922i | ||||
\(886\) | 18.0606 | − | 5.30308i | 0.606759 | − | 0.178161i | ||||
\(887\) | −10.4908 | + | 22.9717i | −0.352248 | + | 0.771315i | 0.647708 | + | 0.761889i | \(0.275728\pi\) |
−0.999956 | + | 0.00942613i | \(0.997000\pi\) | |||||||
\(888\) | 0.396050 | + | 2.75459i | 0.0132906 | + | 0.0924380i | ||||
\(889\) | −15.6419 | − | 18.0517i | −0.524611 | − | 0.605434i | ||||
\(890\) | 3.97467 | + | 8.70332i | 0.133231 | + | 0.291736i | ||||
\(891\) | 0.185647 | − | 0.119308i | 0.00621941 | − | 0.00399697i | ||||
\(892\) | 0.736431 | − | 5.12199i | 0.0246575 | − | 0.171497i | ||||
\(893\) | 1.62523 | + | 1.04447i | 0.0543861 | + | 0.0349518i | ||||
\(894\) | −12.5814 | + | 14.5197i | −0.420786 | + | 0.485613i | ||||
\(895\) | 2.79805 | + | 0.821582i | 0.0935286 | + | 0.0274625i | ||||
\(896\) | −2.43116 | −0.0812193 | ||||||||
\(897\) | −4.11221 | + | 14.9438i | −0.137303 | + | 0.498959i | ||||
\(898\) | 11.8815 | 0.396492 | ||||||||
\(899\) | 0.279884 | + | 0.0821815i | 0.00933467 | + | 0.00274091i | ||||
\(900\) | −0.654861 | + | 0.755750i | −0.0218287 | + | 0.0251917i | ||||
\(901\) | 10.4135 | + | 6.69234i | 0.346923 | + | 0.222954i | ||||
\(902\) | −0.203473 | + | 1.41519i | −0.00677492 | + | 0.0471206i | ||||
\(903\) | −19.1841 | + | 12.3289i | −0.638408 | + | 0.410280i | ||||
\(904\) | −4.77833 | − | 10.4631i | −0.158925 | − | 0.347997i | ||||
\(905\) | −0.930908 | − | 1.07432i | −0.0309444 | − | 0.0357118i | ||||
\(906\) | 1.49638 | + | 10.4076i | 0.0497140 | + | 0.345768i | ||||
\(907\) | −16.5436 | + | 36.2254i | −0.549321 | + | 1.20285i | 0.407777 | + | 0.913082i | \(0.366304\pi\) |
−0.957098 | + | 0.289764i | \(0.906423\pi\) | |||||||
\(908\) | −1.94508 | + | 0.571126i | −0.0645496 | + | 0.0189535i | ||||
\(909\) | 10.4753 | − | 3.07584i | 0.347445 | − | 0.102019i | ||||
\(910\) | 3.26395 | − | 7.14704i | 0.108199 | − | 0.236922i | ||||
\(911\) | 4.56214 | + | 31.7304i | 0.151150 | + | 1.05127i | 0.914296 | + | 0.405047i | \(0.132745\pi\) |
−0.763145 | + | 0.646227i | \(0.776346\pi\) | |||||||
\(912\) | −0.314949 | − | 0.363470i | −0.0104290 | − | 0.0120357i | ||||
\(913\) | 0.942104 | + | 2.06292i | 0.0311791 | + | 0.0682727i | ||||
\(914\) | 22.9653 | − | 14.7589i | 0.759626 | − | 0.488182i | ||||
\(915\) | −0.598632 | + | 4.16358i | −0.0197902 | + | 0.137644i | ||||
\(916\) | −2.36827 | − | 1.52199i | −0.0782498 | − | 0.0502881i | ||||
\(917\) | 18.6187 | − | 21.4872i | 0.614845 | − | 0.709569i | ||||
\(918\) | −3.38686 | − | 0.994471i | −0.111783 | − | 0.0328224i | ||||
\(919\) | −58.4701 | −1.92875 | −0.964375 | − | 0.264538i | \(-0.914781\pi\) | ||||
−0.964375 | + | 0.264538i | \(0.914781\pi\) | |||||||
\(920\) | 4.75797 | + | 0.601403i | 0.156866 | + | 0.0198277i | ||||
\(921\) | −3.15986 | −0.104121 | ||||||||
\(922\) | −26.7950 | − | 7.86771i | −0.882445 | − | 0.259109i | ||||
\(923\) | −28.7817 | + | 33.2158i | −0.947361 | + | 1.09331i | ||||
\(924\) | 0.451337 | + | 0.290057i | 0.0148479 | + | 0.00954217i | ||||
\(925\) | −0.396050 | + | 2.75459i | −0.0130221 | + | 0.0905704i | ||||
\(926\) | 25.9874 | − | 16.7011i | 0.853999 | − | 0.548832i | ||||
\(927\) | −2.60284 | − | 5.69943i | −0.0854885 | − | 0.187194i | ||||
\(928\) | 0.493496 | + | 0.569525i | 0.0161998 | + | 0.0186956i | ||||
\(929\) | −0.995251 | − | 6.92212i | −0.0326531 | − | 0.227107i | 0.966960 | − | 0.254929i | \(-0.0820521\pi\) |
−0.999613 | + | 0.0278215i | \(0.991143\pi\) | |||||||
\(930\) | 0.160799 | − | 0.352102i | 0.00527282 | − | 0.0115459i | ||||
\(931\) | −0.502744 | + | 0.147619i | −0.0164768 | + | 0.00483802i | ||||
\(932\) | 5.14520 | − | 1.51077i | 0.168537 | − | 0.0494868i | ||||
\(933\) | 5.22590 | − | 11.4431i | 0.171088 | − | 0.374631i | ||||
\(934\) | 1.90580 | + | 13.2551i | 0.0623597 | + | 0.433721i | ||||
\(935\) | −0.510111 | − | 0.588700i | −0.0166824 | − | 0.0192525i | ||||
\(936\) | 1.34255 | + | 2.93977i | 0.0438825 | + | 0.0960894i | ||||
\(937\) | 45.7463 | − | 29.3994i | 1.49447 | − | 0.960436i | 0.498872 | − | 0.866675i | \(-0.333748\pi\) |
0.995595 | − | 0.0937603i | \(-0.0298887\pi\) | |||||||
\(938\) | −0.551548 | + | 3.83610i | −0.0180087 | + | 0.125253i | ||||
\(939\) | −11.8397 | − | 7.60894i | −0.386375 | − | 0.248308i | ||||
\(940\) | −2.63054 | + | 3.03581i | −0.0857988 | + | 0.0990171i | ||||
\(941\) | −43.7592 | − | 12.8488i | −1.42651 | − | 0.418860i | −0.524807 | − | 0.851221i | \(-0.675862\pi\) |
−0.901701 | + | 0.432361i | \(0.857681\pi\) | |||||||
\(942\) | −1.86352 | −0.0607168 | ||||||||
\(943\) | 23.1315 | − | 20.7452i | 0.753265 | − | 0.675557i | ||||
\(944\) | −0.510987 | −0.0166312 | ||||||||
\(945\) | 2.33268 | + | 0.684937i | 0.0758821 | + | 0.0222810i | ||||
\(946\) | 1.35554 | − | 1.56438i | 0.0440724 | − | 0.0508622i | ||||
\(947\) | −23.7645 | − | 15.2725i | −0.772243 | − | 0.496291i | 0.0942079 | − | 0.995553i | \(-0.469968\pi\) |
−0.866451 | + | 0.499262i | \(0.833605\pi\) | |||||||
\(948\) | −0.0318410 | + | 0.221459i | −0.00103415 | + | 0.00719265i | ||||
\(949\) | 12.9482 | − | 8.32127i | 0.420315 | − | 0.270120i | ||||
\(950\) | −0.199790 | − | 0.437478i | −0.00648203 | − | 0.0141937i | ||||
\(951\) | 16.1884 | + | 18.6824i | 0.524945 | + | 0.605819i | ||||
\(952\) | −1.22129 | − | 8.49425i | −0.0395822 | − | 0.275300i | ||||
\(953\) | 20.3211 | − | 44.4970i | 0.658265 | − | 1.44140i | −0.225864 | − | 0.974159i | \(-0.572521\pi\) |
0.884130 | − | 0.467241i | \(-0.154752\pi\) | |||||||
\(954\) | 3.36477 | − | 0.987986i | 0.108939 | − | 0.0319872i | ||||
\(955\) | 22.8257 | − | 6.70223i | 0.738622 | − | 0.216879i | ||||
\(956\) | 10.7383 | − | 23.5136i | 0.347301 | − | 0.760484i | ||||
\(957\) | −0.0236671 | − | 0.164609i | −0.000765050 | − | 0.00532104i | ||||
\(958\) | −0.160856 | − | 0.185637i | −0.00519702 | − | 0.00599768i | ||||
\(959\) | −8.00115 | − | 17.5201i | −0.258370 | − | 0.565752i | ||||
\(960\) | 0.841254 | − | 0.540641i | 0.0271513 | − | 0.0174491i | ||||
\(961\) | 4.39044 | − | 30.5362i | 0.141627 | − | 0.985037i | ||||
\(962\) | 7.56614 | + | 4.86246i | 0.243942 | + | 0.156772i | ||||
\(963\) | −5.78131 | + | 6.67199i | −0.186300 | + | 0.215002i | ||||
\(964\) | −12.7933 | − | 3.75646i | −0.412045 | − | 0.120987i | ||||
\(965\) | 26.6546 | 0.858043 | ||||||||
\(966\) | −3.47529 | − | 11.1294i | −0.111816 | − | 0.358084i | ||||
\(967\) | 17.9263 | 0.576472 | 0.288236 | − | 0.957559i | \(-0.406931\pi\) | ||||
0.288236 | + | 0.957559i | \(0.406931\pi\) | |||||||
\(968\) | 10.5077 | + | 3.08534i | 0.337730 | + | 0.0991665i | ||||
\(969\) | 1.11172 | − | 1.28299i | 0.0357136 | − | 0.0412156i | ||||
\(970\) | −3.16897 | − | 2.03657i | −0.101749 | − | 0.0653904i | ||||
\(971\) | −5.39276 | + | 37.5075i | −0.173062 | + | 1.20367i | 0.699306 | + | 0.714823i | \(0.253493\pi\) |
−0.872368 | + | 0.488850i | \(0.837416\pi\) | |||||||
\(972\) | −0.841254 | + | 0.540641i | −0.0269832 | + | 0.0173411i | ||||
\(973\) | −14.8925 | − | 32.6100i | −0.477431 | − | 1.04543i | ||||
\(974\) | −17.2814 | − | 19.9438i | −0.553732 | − | 0.639041i | ||||
\(975\) | 0.459936 | + | 3.19893i | 0.0147297 | + | 0.102448i | ||||
\(976\) | 1.74740 | − | 3.82627i | 0.0559328 | − | 0.122476i | ||||
\(977\) | 42.6818 | − | 12.5325i | 1.36551 | − | 0.400950i | 0.484809 | − | 0.874620i | \(-0.338889\pi\) |
0.880703 | + | 0.473670i | \(0.157071\pi\) | |||||||
\(978\) | 5.76134 | − | 1.69168i | 0.184227 | − | 0.0540940i | ||||
\(979\) | −0.877127 | + | 1.92064i | −0.0280331 | + | 0.0613839i | ||||
\(980\) | −0.155047 | − | 1.07838i | −0.00495281 | − | 0.0344475i | ||||
\(981\) | −3.20100 | − | 3.69415i | −0.102200 | − | 0.117945i | ||||
\(982\) | 1.72080 | + | 3.76803i | 0.0549131 | + | 0.120243i | ||||
\(983\) | −6.66908 | + | 4.28596i | −0.212711 | + | 0.136701i | −0.642658 | − | 0.766153i | \(-0.722168\pi\) |
0.429947 | + | 0.902854i | \(0.358532\pi\) | |||||||
\(984\) | 0.922033 | − | 6.41288i | 0.0293933 | − | 0.204435i | ||||
\(985\) | 1.48549 | + | 0.954666i | 0.0473316 | + | 0.0304182i | ||||
\(986\) | −1.74196 | + | 2.01033i | −0.0554754 | + | 0.0640220i | ||||
\(987\) | 9.37025 | + | 2.75135i | 0.298258 | + | 0.0875765i | ||||
\(988\) | −1.55431 | −0.0494493 | ||||||||
\(989\) | −44.4112 | + | 7.16100i | −1.41219 | + | 0.227706i | ||||
\(990\) | −0.220679 | −0.00701364 | ||||||||
\(991\) | −19.9664 | − | 5.86266i | −0.634253 | − | 0.186233i | −0.0512269 | − | 0.998687i | \(-0.516313\pi\) |
−0.583026 | + | 0.812454i | \(0.698131\pi\) | |||||||
\(992\) | −0.253484 | + | 0.292537i | −0.00804814 | + | 0.00928804i | ||||
\(993\) | −9.14143 | − | 5.87484i | −0.290095 | − | 0.186432i | ||||
\(994\) | 4.70526 | − | 32.7258i | 0.149242 | − | 1.03800i | ||||
\(995\) | −6.66371 | + | 4.28250i | −0.211254 | + | 0.135765i | ||||
\(996\) | −4.26912 | − | 9.34806i | −0.135272 | − | 0.296205i | ||||
\(997\) | 16.5419 | + | 19.0903i | 0.523886 | + | 0.604596i | 0.954600 | − | 0.297892i | \(-0.0962836\pi\) |
−0.430714 | + | 0.902489i | \(0.641738\pi\) | |||||||
\(998\) | −2.23160 | − | 15.5211i | −0.0706401 | − | 0.491313i | ||||
\(999\) | −1.15607 | + | 2.53143i | −0.0365763 | + | 0.0800909i |
(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 | 690.2.m.d.271.1 | ✓ | 20 | |
23.9 | even | 11 | inner | 690.2.m.d.331.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.d.271.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.d.331.1 | yes | 20 | 23.9 | even | 11 | inner |