Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(41,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.v (of order \(22\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 41.19 | ||
Character | \(\chi\) | \(=\) | 483.41 |
Dual form | 483.2.v.a.377.19 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.340118 | + | 1.15833i | −0.240500 | + | 0.819067i | 0.747454 | + | 0.664314i | \(0.231276\pi\) |
−0.987953 | + | 0.154753i | \(0.950542\pi\) | |||||||
\(3\) | −1.07735 | − | 1.35621i | −0.622010 | − | 0.783010i | ||||
\(4\) | 0.456447 | + | 0.293341i | 0.228224 | + | 0.146670i | ||||
\(5\) | −0.0646472 | + | 0.449631i | −0.0289111 | + | 0.201081i | −0.999158 | − | 0.0410382i | \(-0.986933\pi\) |
0.970246 | + | 0.242119i | \(0.0778425\pi\) | |||||||
\(6\) | 1.93738 | − | 0.786663i | 0.790930 | − | 0.321154i | ||||
\(7\) | 2.56225 | + | 0.659450i | 0.968440 | + | 0.249249i | ||||
\(8\) | −2.31977 | + | 2.01009i | −0.820162 | + | 0.710675i | ||||
\(9\) | −0.678624 | + | 2.92224i | −0.226208 | + | 0.974079i | ||||
\(10\) | −0.498836 | − | 0.227811i | −0.157746 | − | 0.0720400i | ||||
\(11\) | −0.661623 | − | 2.25328i | −0.199487 | − | 0.679389i | −0.997092 | − | 0.0762094i | \(-0.975718\pi\) |
0.797605 | − | 0.603180i | \(-0.206100\pi\) | |||||||
\(12\) | −0.0939220 | − | 0.935071i | −0.0271129 | − | 0.269932i | ||||
\(13\) | 2.29275 | + | 1.04706i | 0.635895 | + | 0.290403i | 0.707160 | − | 0.707054i | \(-0.249976\pi\) |
−0.0712647 | + | 0.997457i | \(0.522704\pi\) | |||||||
\(14\) | −1.63533 | + | 2.74365i | −0.437060 | + | 0.733272i | ||||
\(15\) | 0.679443 | − | 0.396736i | 0.175431 | − | 0.102437i | ||||
\(16\) | −1.08857 | − | 2.38364i | −0.272143 | − | 0.595911i | ||||
\(17\) | −0.609065 | + | 0.391423i | −0.147720 | + | 0.0949339i | −0.612413 | − | 0.790538i | \(-0.709801\pi\) |
0.464693 | + | 0.885472i | \(0.346165\pi\) | |||||||
\(18\) | −3.15412 | − | 1.77998i | −0.743433 | − | 0.419545i | ||||
\(19\) | −0.242754 | + | 0.377732i | −0.0556915 | + | 0.0866577i | −0.867983 | − | 0.496594i | \(-0.834584\pi\) |
0.812291 | + | 0.583252i | \(0.198220\pi\) | |||||||
\(20\) | −0.161403 | + | 0.186269i | −0.0360908 | + | 0.0416510i | ||||
\(21\) | −1.86609 | − | 4.18542i | −0.407215 | − | 0.913332i | ||||
\(22\) | 2.83508 | 0.604442 | ||||||||
\(23\) | 1.65152 | + | 4.50250i | 0.344366 | + | 0.938835i | ||||
\(24\) | 5.22532 | + | 0.980524i | 1.06661 | + | 0.200149i | ||||
\(25\) | 4.59948 | + | 1.35053i | 0.919895 | + | 0.270106i | ||||
\(26\) | −1.99266 | + | 2.29965i | −0.390792 | + | 0.450998i | ||||
\(27\) | 4.69429 | − | 2.22792i | 0.903417 | − | 0.428763i | ||||
\(28\) | 0.976089 | + | 1.05262i | 0.184463 | + | 0.198926i | ||||
\(29\) | 4.70592 | + | 7.32256i | 0.873868 | + | 1.35977i | 0.932380 | + | 0.361479i | \(0.117728\pi\) |
−0.0585124 | + | 0.998287i | \(0.518636\pi\) | |||||||
\(30\) | 0.228462 | + | 0.921959i | 0.0417113 | + | 0.168326i | ||||
\(31\) | −4.56516 | + | 3.95573i | −0.819926 | + | 0.710470i | −0.960100 | − | 0.279657i | \(-0.909779\pi\) |
0.140174 | + | 0.990127i | \(0.455234\pi\) | |||||||
\(32\) | −2.94520 | + | 0.423457i | −0.520644 | + | 0.0748572i | ||||
\(33\) | −2.34313 | + | 3.32488i | −0.407886 | + | 0.578787i | ||||
\(34\) | −0.246244 | − | 0.838632i | −0.0422306 | − | 0.143824i | ||||
\(35\) | −0.462151 | + | 1.10944i | −0.0781178 | + | 0.187529i | ||||
\(36\) | −1.16697 | + | 1.13478i | −0.194495 | + | 0.189130i | ||||
\(37\) | −0.141085 | − | 0.981267i | −0.0231942 | − | 0.161319i | 0.974932 | − | 0.222501i | \(-0.0714221\pi\) |
−0.998127 | + | 0.0611818i | \(0.980513\pi\) | |||||||
\(38\) | −0.354975 | − | 0.409663i | −0.0575846 | − | 0.0664562i | ||||
\(39\) | −1.05006 | − | 4.23752i | −0.168144 | − | 0.678545i | ||||
\(40\) | −0.753833 | − | 1.17299i | −0.119191 | − | 0.185466i | ||||
\(41\) | −0.515038 | + | 3.58217i | −0.0804354 | + | 0.559440i | 0.909257 | + | 0.416234i | \(0.136650\pi\) |
−0.989693 | + | 0.143206i | \(0.954259\pi\) | |||||||
\(42\) | 5.48280 | − | 0.738026i | 0.846015 | − | 0.113880i | ||||
\(43\) | 0.628016 | − | 0.724769i | 0.0957715 | − | 0.110526i | −0.705841 | − | 0.708371i | \(-0.749431\pi\) |
0.801612 | + | 0.597845i | \(0.203976\pi\) | |||||||
\(44\) | 0.358983 | − | 1.22258i | 0.0541187 | − | 0.184312i | ||||
\(45\) | −1.27006 | − | 0.494045i | −0.189329 | − | 0.0736479i | ||||
\(46\) | −5.77711 | + | 0.381637i | −0.851789 | + | 0.0562693i | ||||
\(47\) | −0.699864 | −0.102086 | −0.0510428 | − | 0.998696i | \(-0.516254\pi\) | ||||
−0.0510428 | + | 0.998696i | \(0.516254\pi\) | |||||||
\(48\) | −2.05995 | + | 4.04436i | −0.297328 | + | 0.583753i | ||||
\(49\) | 6.13025 | + | 3.37935i | 0.875750 | + | 0.482764i | ||||
\(50\) | −3.12873 | + | 4.86840i | −0.442469 | + | 0.688495i | ||||
\(51\) | 1.18703 | + | 0.404322i | 0.166217 | + | 0.0566164i | ||||
\(52\) | 0.739373 | + | 1.15049i | 0.102533 | + | 0.159544i | ||||
\(53\) | 3.72171 | − | 1.69965i | 0.511216 | − | 0.233465i | −0.143069 | − | 0.989713i | \(-0.545697\pi\) |
0.654285 | + | 0.756248i | \(0.272970\pi\) | |||||||
\(54\) | 0.984065 | + | 6.19532i | 0.133914 | + | 0.843076i | ||||
\(55\) | 1.05592 | − | 0.151818i | 0.142380 | − | 0.0204711i | ||||
\(56\) | −7.26939 | + | 3.62059i | −0.971412 | + | 0.483821i | ||||
\(57\) | 0.773816 | − | 0.0777249i | 0.102494 | − | 0.0102949i | ||||
\(58\) | −10.0825 | + | 2.96050i | −1.32390 | + | 0.388733i | ||||
\(59\) | 4.03213 | − | 8.82912i | 0.524938 | − | 1.14945i | −0.442598 | − | 0.896720i | \(-0.645943\pi\) |
0.967536 | − | 0.252734i | \(-0.0813297\pi\) | |||||||
\(60\) | 0.426509 | + | 0.0182195i | 0.0550620 | + | 0.00235212i | ||||
\(61\) | −7.51110 | + | 6.50840i | −0.961697 | + | 0.833315i | −0.986060 | − | 0.166388i | \(-0.946790\pi\) |
0.0243632 | + | 0.999703i | \(0.492244\pi\) | |||||||
\(62\) | −3.02937 | − | 6.63339i | −0.384730 | − | 0.842442i | ||||
\(63\) | −3.66587 | + | 7.03998i | −0.461857 | + | 0.886955i | ||||
\(64\) | 1.25707 | − | 8.74311i | 0.157134 | − | 1.09289i | ||||
\(65\) | −0.619012 | + | 0.963202i | −0.0767790 | + | 0.119471i | ||||
\(66\) | −3.05438 | − | 3.84497i | −0.375968 | − | 0.473284i | ||||
\(67\) | −0.470835 | − | 0.138250i | −0.0575217 | − | 0.0168899i | 0.252845 | − | 0.967507i | \(-0.418634\pi\) |
−0.310367 | + | 0.950617i | \(0.600452\pi\) | |||||||
\(68\) | −0.392826 | −0.0476372 | ||||||||
\(69\) | 4.32707 | − | 7.09059i | 0.520918 | − | 0.853607i | ||||
\(70\) | −1.12791 | − | 0.912665i | −0.134811 | − | 0.109084i | ||||
\(71\) | 0.152020 | − | 0.517732i | 0.0180414 | − | 0.0614435i | −0.949980 | − | 0.312310i | \(-0.898897\pi\) |
0.968022 | + | 0.250866i | \(0.0807155\pi\) | |||||||
\(72\) | −4.29971 | − | 8.14301i | −0.506726 | − | 0.959663i | ||||
\(73\) | 4.05589 | − | 6.31109i | 0.474706 | − | 0.738657i | −0.518493 | − | 0.855082i | \(-0.673507\pi\) |
0.993200 | + | 0.116424i | \(0.0371433\pi\) | |||||||
\(74\) | 1.18462 | + | 0.170323i | 0.137710 | + | 0.0197996i | ||||
\(75\) | −3.12365 | − | 7.69286i | −0.360688 | − | 0.888295i | ||||
\(76\) | −0.221608 | + | 0.101205i | −0.0254202 | + | 0.0116090i | ||||
\(77\) | −0.209318 | − | 6.20977i | −0.0238540 | − | 0.707669i | ||||
\(78\) | 5.26561 | + | 0.224935i | 0.596212 | + | 0.0254688i | ||||
\(79\) | 1.74160 | − | 3.81357i | 0.195945 | − | 0.429060i | −0.786000 | − | 0.618227i | \(-0.787851\pi\) |
0.981945 | + | 0.189166i | \(0.0605786\pi\) | |||||||
\(80\) | 1.14213 | − | 0.335360i | 0.127694 | − | 0.0374944i | ||||
\(81\) | −8.07894 | − | 3.96620i | −0.897660 | − | 0.440689i | ||||
\(82\) | −3.97418 | − | 1.81494i | −0.438874 | − | 0.200427i | ||||
\(83\) | −1.88176 | − | 13.0879i | −0.206550 | − | 1.43658i | −0.784305 | − | 0.620375i | \(-0.786980\pi\) |
0.577756 | − | 0.816210i | \(-0.303929\pi\) | |||||||
\(84\) | 0.375981 | − | 2.45782i | 0.0410228 | − | 0.268170i | ||||
\(85\) | −0.136621 | − | 0.299159i | −0.0148187 | − | 0.0324483i | ||||
\(86\) | 0.625926 | + | 0.973959i | 0.0674953 | + | 0.105025i | ||||
\(87\) | 4.86101 | − | 14.2712i | 0.521155 | − | 1.53003i | ||||
\(88\) | 6.06411 | + | 3.89717i | 0.646436 | + | 0.415439i | ||||
\(89\) | −10.6473 | + | 12.2877i | −1.12861 | + | 1.30249i | −0.180851 | + | 0.983511i | \(0.557885\pi\) |
−0.947762 | + | 0.318978i | \(0.896660\pi\) | |||||||
\(90\) | 1.00424 | − | 1.30312i | 0.105856 | − | 0.137361i | ||||
\(91\) | 5.18412 | + | 4.19480i | 0.543443 | + | 0.439734i | ||||
\(92\) | −0.566933 | + | 2.53961i | −0.0591069 | + | 0.264773i | ||||
\(93\) | 10.2831 | + | 1.92961i | 1.06631 | + | 0.200091i | ||||
\(94\) | 0.238036 | − | 0.810677i | 0.0245516 | − | 0.0836149i | ||||
\(95\) | −0.154147 | − | 0.133569i | −0.0158151 | − | 0.0137039i | ||||
\(96\) | 3.74732 | + | 3.53811i | 0.382459 | + | 0.361107i | ||||
\(97\) | 2.50924 | + | 0.360775i | 0.254775 | + | 0.0366311i | 0.268519 | − | 0.963274i | \(-0.413466\pi\) |
−0.0137438 | + | 0.999906i | \(0.504375\pi\) | |||||||
\(98\) | −5.99943 | + | 5.95151i | −0.606034 | + | 0.601193i | ||||
\(99\) | 7.03361 | − | 0.404287i | 0.706904 | − | 0.0406324i | ||||
\(100\) | 1.70325 | + | 1.96566i | 0.170325 | + | 0.196566i | ||||
\(101\) | −1.50713 | − | 10.4823i | −0.149965 | − | 1.04303i | −0.916272 | − | 0.400556i | \(-0.868817\pi\) |
0.766307 | − | 0.642474i | \(-0.222092\pi\) | |||||||
\(102\) | −0.872071 | + | 1.23746i | −0.0863479 | + | 0.122527i | ||||
\(103\) | −2.67114 | − | 9.09706i | −0.263195 | − | 0.896360i | −0.979985 | − | 0.199071i | \(-0.936208\pi\) |
0.716790 | − | 0.697289i | \(-0.245611\pi\) | |||||||
\(104\) | −7.42335 | + | 2.17969i | −0.727919 | + | 0.213736i | ||||
\(105\) | 2.00253 | − | 0.568478i | 0.195427 | − | 0.0554777i | ||||
\(106\) | 0.702942 | + | 4.88907i | 0.0682757 | + | 0.474868i | ||||
\(107\) | 12.4769 | − | 10.8113i | 1.20619 | − | 1.04517i | 0.208442 | − | 0.978035i | \(-0.433161\pi\) |
0.997744 | − | 0.0671318i | \(-0.0213848\pi\) | |||||||
\(108\) | 2.79624 | + | 0.360100i | 0.269068 | + | 0.0346506i | ||||
\(109\) | −5.41682 | + | 3.48118i | −0.518837 | + | 0.333436i | −0.773712 | − | 0.633538i | \(-0.781602\pi\) |
0.254875 | + | 0.966974i | \(0.417966\pi\) | |||||||
\(110\) | −0.183280 | + | 1.27474i | −0.0174751 | + | 0.121542i | ||||
\(111\) | −1.17881 | + | 1.24851i | −0.111888 | + | 0.118504i | ||||
\(112\) | −1.21730 | − | 6.82535i | −0.115024 | − | 0.644935i | ||||
\(113\) | 2.31348 | − | 7.87898i | 0.217634 | − | 0.741192i | −0.776217 | − | 0.630466i | \(-0.782864\pi\) |
0.993851 | − | 0.110727i | \(-0.0353179\pi\) | |||||||
\(114\) | −0.173157 | + | 0.922774i | −0.0162177 | + | 0.0864257i | ||||
\(115\) | −2.13123 | + | 0.451502i | −0.198738 | + | 0.0421028i | ||||
\(116\) | 4.72280i | 0.438501i | ||||||||
\(117\) | −4.61569 | + | 5.98940i | −0.426720 | + | 0.553720i | ||||
\(118\) | 8.85569 | + | 7.67350i | 0.815232 | + | 0.706402i | ||||
\(119\) | −1.81870 | + | 0.601275i | −0.166720 | + | 0.0551188i | ||||
\(120\) | −0.778676 | + | 2.28608i | −0.0710831 | + | 0.208689i | ||||
\(121\) | 4.61426 | − | 2.96541i | 0.419479 | − | 0.269583i | ||||
\(122\) | −4.98425 | − | 10.9140i | −0.451253 | − | 0.988106i | ||||
\(123\) | 5.41306 | − | 3.16075i | 0.488079 | − | 0.284996i | ||||
\(124\) | −3.24413 | + | 0.466435i | −0.291331 | + | 0.0418871i | ||||
\(125\) | −1.84810 | + | 4.04678i | −0.165299 | + | 0.361955i | ||||
\(126\) | −6.90783 | − | 6.64073i | −0.615398 | − | 0.591604i | ||||
\(127\) | −13.7445 | + | 4.03575i | −1.21963 | + | 0.358115i | −0.827326 | − | 0.561722i | \(-0.810139\pi\) |
−0.392301 | + | 0.919837i | \(0.628321\pi\) | |||||||
\(128\) | 4.28669 | + | 1.95767i | 0.378894 | + | 0.173035i | ||||
\(129\) | −1.65953 | − | 0.0708915i | −0.146114 | − | 0.00624165i | ||||
\(130\) | −0.905174 | − | 1.04463i | −0.0793890 | − | 0.0916198i | ||||
\(131\) | 5.09631 | + | 11.1594i | 0.445266 | + | 0.974998i | 0.990602 | + | 0.136779i | \(0.0436752\pi\) |
−0.545335 | + | 0.838218i | \(0.683598\pi\) | |||||||
\(132\) | −2.04484 | + | 0.830296i | −0.177980 | + | 0.0722680i | ||||
\(133\) | −0.871091 | + | 0.807760i | −0.0755332 | + | 0.0700417i | ||||
\(134\) | 0.320279 | − | 0.498364i | 0.0276679 | − | 0.0430521i | ||||
\(135\) | 0.698269 | + | 2.25473i | 0.0600974 | + | 0.194056i | ||||
\(136\) | 0.626096 | − | 2.13229i | 0.0536873 | − | 0.182842i | ||||
\(137\) | − | 12.5286i | − | 1.07039i | −0.844728 | − | 0.535195i | \(-0.820238\pi\) | ||
0.844728 | − | 0.535195i | \(-0.179762\pi\) | |||||||
\(138\) | 6.74156 | + | 7.42383i | 0.573880 | + | 0.631959i | ||||
\(139\) | − | 10.0544i | − | 0.852807i | −0.904533 | − | 0.426403i | \(-0.859780\pi\) | ||
0.904533 | − | 0.426403i | \(-0.140220\pi\) | |||||||
\(140\) | −0.536390 | + | 0.370831i | −0.0453333 | + | 0.0313409i | ||||
\(141\) | 0.754000 | + | 0.949164i | 0.0634982 | + | 0.0799340i | ||||
\(142\) | 0.548003 | + | 0.352180i | 0.0459874 | + | 0.0295543i | ||||
\(143\) | 0.842393 | − | 5.85897i | 0.0704444 | − | 0.489952i | ||||
\(144\) | 7.70430 | − | 1.56347i | 0.642025 | − | 0.130289i | ||||
\(145\) | −3.59667 | + | 1.64255i | −0.298688 | + | 0.136406i | ||||
\(146\) | 5.93088 | + | 6.84460i | 0.490843 | + | 0.566463i | ||||
\(147\) | −2.02133 | − | 11.9547i | −0.166716 | − | 0.986005i | ||||
\(148\) | 0.223448 | − | 0.489283i | 0.0183673 | − | 0.0402188i | ||||
\(149\) | −0.705711 | − | 2.40343i | −0.0578141 | − | 0.196897i | 0.925522 | − | 0.378694i | \(-0.123627\pi\) |
−0.983336 | + | 0.181797i | \(0.941809\pi\) | |||||||
\(150\) | 9.97332 | − | 1.00176i | 0.814318 | − | 0.0817931i | ||||
\(151\) | −1.55417 | + | 3.40316i | −0.126477 | + | 0.276945i | −0.962269 | − | 0.272101i | \(-0.912282\pi\) |
0.835792 | + | 0.549046i | \(0.185009\pi\) | |||||||
\(152\) | −0.196144 | − | 1.36421i | −0.0159093 | − | 0.110652i | ||||
\(153\) | −0.730503 | − | 2.04546i | −0.0590577 | − | 0.165366i | ||||
\(154\) | 7.26419 | + | 1.86959i | 0.585365 | + | 0.150656i | ||||
\(155\) | −1.48349 | − | 2.30836i | −0.119157 | − | 0.185412i | ||||
\(156\) | 0.763740 | − | 2.24223i | 0.0611481 | − | 0.179522i | ||||
\(157\) | 0.996322 | − | 1.55031i | 0.0795152 | − | 0.123728i | −0.799218 | − | 0.601041i | \(-0.794753\pi\) |
0.878733 | + | 0.477313i | \(0.158389\pi\) | |||||||
\(158\) | 3.82505 | + | 3.31442i | 0.304304 | + | 0.263681i | ||||
\(159\) | −6.31467 | − | 3.21631i | −0.500786 | − | 0.255070i | ||||
\(160\) | − | 1.35163i | − | 0.106856i | ||||||
\(161\) | 1.26244 | + | 12.6256i | 0.0994946 | + | 0.995038i | ||||
\(162\) | 7.34198 | − | 8.00914i | 0.576841 | − | 0.629257i | ||||
\(163\) | 10.1959 | + | 2.99378i | 0.798602 | + | 0.234491i | 0.655478 | − | 0.755214i | \(-0.272467\pi\) |
0.143124 | + | 0.989705i | \(0.454285\pi\) | |||||||
\(164\) | −1.28588 | + | 1.48399i | −0.100411 | + | 0.115880i | ||||
\(165\) | −1.34349 | − | 1.26849i | −0.104591 | − | 0.0987515i | ||||
\(166\) | 15.8002 | + | 2.27173i | 1.22633 | + | 0.176320i | ||||
\(167\) | 14.5488 | − | 9.34995i | 1.12582 | − | 0.723521i | 0.161136 | − | 0.986932i | \(-0.448484\pi\) |
0.964684 | + | 0.263412i | \(0.0848477\pi\) | |||||||
\(168\) | 12.7420 | + | 5.95818i | 0.983065 | + | 0.459684i | ||||
\(169\) | −4.35282 | − | 5.02343i | −0.334833 | − | 0.386417i | ||||
\(170\) | 0.392994 | − | 0.0565040i | 0.0301412 | − | 0.00433366i | ||||
\(171\) | −0.939084 | − | 0.965722i | −0.0718136 | − | 0.0738506i | ||||
\(172\) | 0.499260 | − | 0.146596i | 0.0380682 | − | 0.0111778i | ||||
\(173\) | −15.9749 | + | 4.69064i | −1.21455 | + | 0.356623i | −0.825397 | − | 0.564552i | \(-0.809049\pi\) |
−0.389148 | + | 0.921175i | \(0.627231\pi\) | |||||||
\(174\) | 14.8775 | + | 10.4846i | 1.12786 | + | 0.794833i | ||||
\(175\) | 10.8944 | + | 6.49351i | 0.823540 | + | 0.490863i | ||||
\(176\) | −4.65079 | + | 4.02993i | −0.350566 | + | 0.303767i | ||||
\(177\) | −16.3182 | + | 4.04366i | −1.22655 | + | 0.303940i | ||||
\(178\) | −10.6119 | − | 16.5124i | −0.795394 | − | 1.23766i | ||||
\(179\) | 23.4706 | + | 3.37457i | 1.75428 | + | 0.252227i | 0.943085 | − | 0.332553i | \(-0.107910\pi\) |
0.811192 | + | 0.584780i | \(0.198819\pi\) | |||||||
\(180\) | −0.434790 | − | 0.598065i | −0.0324074 | − | 0.0445771i | ||||
\(181\) | −14.8322 | − | 12.8522i | −1.10247 | − | 0.955295i | −0.103245 | − | 0.994656i | \(-0.532922\pi\) |
−0.999225 | + | 0.0393606i | \(0.987468\pi\) | |||||||
\(182\) | −6.62219 | + | 4.57822i | −0.490869 | + | 0.339360i | ||||
\(183\) | 16.9189 | + | 3.17480i | 1.25068 | + | 0.234688i | ||||
\(184\) | −12.8816 | − | 7.12504i | −0.949643 | − | 0.525265i | ||||
\(185\) | 0.450329 | 0.0331088 | ||||||||
\(186\) | −5.73259 | + | 11.2550i | −0.420334 | + | 0.825254i | ||||
\(187\) | 1.28496 | + | 1.11342i | 0.0939653 | + | 0.0814214i | ||||
\(188\) | −0.319451 | − | 0.205299i | −0.0232984 | − | 0.0149729i | ||||
\(189\) | 13.4972 | − | 2.61284i | 0.981773 | − | 0.190056i | ||||
\(190\) | 0.207146 | − | 0.133124i | 0.0150279 | − | 0.00965785i | ||||
\(191\) | 0.618400 | − | 0.282414i | 0.0447458 | − | 0.0204347i | −0.392916 | − | 0.919574i | \(-0.628534\pi\) |
0.437662 | + | 0.899139i | \(0.355807\pi\) | |||||||
\(192\) | −13.2118 | + | 7.71455i | −0.953481 | + | 0.556750i | ||||
\(193\) | −1.45588 | − | 10.1259i | −0.104796 | − | 0.728875i | −0.972687 | − | 0.232120i | \(-0.925434\pi\) |
0.867891 | − | 0.496755i | \(-0.165475\pi\) | |||||||
\(194\) | −1.27134 | + | 2.78384i | −0.0912767 | + | 0.199868i | ||||
\(195\) | 1.97320 | − | 0.198196i | 0.141304 | − | 0.0141931i | ||||
\(196\) | 1.80684 | + | 3.34075i | 0.129060 | + | 0.238625i | ||||
\(197\) | −10.4768 | − | 4.78459i | −0.746440 | − | 0.340888i | 0.00561844 | − | 0.999984i | \(-0.498212\pi\) |
−0.752058 | + | 0.659097i | \(0.770939\pi\) | |||||||
\(198\) | −1.92396 | + | 8.28478i | −0.136730 | + | 0.588774i | ||||
\(199\) | −15.8933 | + | 13.7716i | −1.12665 | + | 0.976245i | −0.999877 | − | 0.0156876i | \(-0.995006\pi\) |
−0.126769 | + | 0.991932i | \(0.540461\pi\) | |||||||
\(200\) | −13.3844 | + | 6.11246i | −0.946421 | + | 0.432216i | ||||
\(201\) | 0.319759 | + | 0.787496i | 0.0225541 | + | 0.0555457i | ||||
\(202\) | 12.6546 | + | 1.81946i | 0.890377 | + | 0.128017i | ||||
\(203\) | 7.22889 | + | 21.8655i | 0.507369 | + | 1.53466i | ||||
\(204\) | 0.423212 | + | 0.532756i | 0.0296308 | + | 0.0373004i | ||||
\(205\) | −1.57736 | − | 0.463154i | −0.110167 | − | 0.0323481i | ||||
\(206\) | 11.4459 | 0.797476 | ||||||||
\(207\) | −14.2781 | + | 1.77064i | −0.992398 | + | 0.123068i | ||||
\(208\) | − | 6.60491i | − | 0.457968i | ||||||
\(209\) | 1.01175 | + | 0.297076i | 0.0699840 | + | 0.0205492i | ||||
\(210\) | −0.0226086 | + | 2.51295i | −0.00156014 | + | 0.173410i | ||||
\(211\) | −19.7346 | − | 12.6827i | −1.35859 | − | 0.873111i | −0.360371 | − | 0.932809i | \(-0.617350\pi\) |
−0.998216 | + | 0.0596982i | \(0.980986\pi\) | |||||||
\(212\) | 2.19734 | + | 0.315930i | 0.150914 | + | 0.0216981i | ||||
\(213\) | −0.865934 | + | 0.351609i | −0.0593328 | + | 0.0240918i | ||||
\(214\) | 8.27948 | + | 18.1295i | 0.565973 | + | 1.23931i | ||||
\(215\) | 0.285279 | + | 0.329229i | 0.0194559 | + | 0.0224533i | ||||
\(216\) | −6.41135 | + | 14.6042i | −0.436237 | + | 0.993691i | ||||
\(217\) | −14.3057 | + | 7.12508i | −0.971132 | + | 0.483682i | ||||
\(218\) | −2.19001 | − | 7.45850i | −0.148326 | − | 0.505153i | ||||
\(219\) | −12.9288 | + | 1.29862i | −0.873648 | + | 0.0877524i | ||||
\(220\) | 0.526504 | + | 0.240447i | 0.0354969 | + | 0.0162109i | ||||
\(221\) | −1.80628 | + | 0.259704i | −0.121504 | + | 0.0174696i | ||||
\(222\) | −1.04526 | − | 1.79010i | −0.0701533 | − | 0.120143i | ||||
\(223\) | −13.2760 | + | 6.06295i | −0.889027 | + | 0.406005i | −0.806949 | − | 0.590621i | \(-0.798883\pi\) |
−0.0820778 | + | 0.996626i | \(0.526156\pi\) | |||||||
\(224\) | −7.82560 | − | 0.857212i | −0.522870 | − | 0.0572749i | ||||
\(225\) | −7.06788 | + | 12.5243i | −0.471192 | + | 0.834951i | ||||
\(226\) | 8.33965 | + | 5.35957i | 0.554745 | + | 0.356513i | ||||
\(227\) | 14.6987 | − | 16.9632i | 0.975589 | − | 1.12589i | −0.0164386 | − | 0.999865i | \(-0.505233\pi\) |
0.992027 | − | 0.126024i | \(-0.0402217\pi\) | |||||||
\(228\) | 0.376006 | + | 0.191515i | 0.0249016 | + | 0.0126834i | ||||
\(229\) | 7.96123i | 0.526093i | 0.964783 | + | 0.263046i | \(0.0847272\pi\) | ||||
−0.964783 | + | 0.263046i | \(0.915273\pi\) | |||||||
\(230\) | 0.201878 | − | 2.62224i | 0.0133114 | − | 0.172905i | ||||
\(231\) | −8.19626 | + | 6.97399i | −0.539274 | + | 0.458855i | ||||
\(232\) | −25.6357 | − | 7.52731i | −1.68306 | − | 0.494192i | ||||
\(233\) | 3.09731 | + | 2.68383i | 0.202911 | + | 0.175824i | 0.750389 | − | 0.660997i | \(-0.229866\pi\) |
−0.547477 | + | 0.836820i | \(0.684412\pi\) | |||||||
\(234\) | −5.36785 | − | 7.38361i | −0.350908 | − | 0.482682i | ||||
\(235\) | 0.0452442 | − | 0.314680i | 0.00295141 | − | 0.0205275i | ||||
\(236\) | 4.43040 | − | 2.84724i | 0.288394 | − | 0.185340i | ||||
\(237\) | −7.04833 | + | 1.74658i | −0.457838 | + | 0.113453i | ||||
\(238\) | −0.0779047 | − | 2.31117i | −0.00504981 | − | 0.149811i | ||||
\(239\) | −12.8074 | + | 1.84143i | −0.828445 | + | 0.119112i | −0.543476 | − | 0.839425i | \(-0.682892\pi\) |
−0.284968 | + | 0.958537i | \(0.591983\pi\) | |||||||
\(240\) | −1.68530 | − | 1.18767i | −0.108786 | − | 0.0766640i | ||||
\(241\) | 6.45543 | + | 21.9852i | 0.415831 | + | 1.41619i | 0.855394 | + | 0.517978i | \(0.173315\pi\) |
−0.439564 | + | 0.898211i | \(0.644867\pi\) | |||||||
\(242\) | 1.86554 | + | 6.35345i | 0.119922 | + | 0.408415i | ||||
\(243\) | 3.32485 | + | 15.2298i | 0.213289 | + | 0.976989i | ||||
\(244\) | −5.33760 | + | 0.767431i | −0.341705 | + | 0.0491297i | ||||
\(245\) | −1.91576 | + | 2.53789i | −0.122394 | + | 0.162140i | ||||
\(246\) | 1.82014 | + | 7.34516i | 0.116048 | + | 0.468310i | ||||
\(247\) | −0.952084 | + | 0.611867i | −0.0605796 | + | 0.0389322i | ||||
\(248\) | 2.63873 | − | 18.3528i | 0.167559 | − | 1.16540i | ||||
\(249\) | −15.7227 | + | 16.6524i | −0.996384 | + | 1.05530i | ||||
\(250\) | −4.05896 | − | 3.51711i | −0.256711 | − | 0.222441i | ||||
\(251\) | 19.5998 | + | 5.75501i | 1.23713 | + | 0.363253i | 0.833935 | − | 0.551863i | \(-0.186083\pi\) |
0.403191 | + | 0.915116i | \(0.367901\pi\) | |||||||
\(252\) | −3.73839 | + | 2.13803i | −0.235497 | + | 0.134683i | ||||
\(253\) | 9.05270 | − | 6.70030i | 0.569138 | − | 0.421244i | ||||
\(254\) | − | 17.2934i | − | 1.08508i | ||||||
\(255\) | −0.258534 | + | 0.507587i | −0.0161900 | + | 0.0317863i | ||||
\(256\) | 7.84318 | − | 9.05151i | 0.490198 | − | 0.565719i | ||||
\(257\) | 2.73661 | + | 1.75871i | 0.170705 | + | 0.109706i | 0.623204 | − | 0.782060i | \(-0.285831\pi\) |
−0.452498 | + | 0.891765i | \(0.649467\pi\) | |||||||
\(258\) | 0.646553 | − | 1.89819i | 0.0402527 | − | 0.118176i | ||||
\(259\) | 0.285601 | − | 2.60729i | 0.0177464 | − | 0.162009i | ||||
\(260\) | −0.565093 | + | 0.258069i | −0.0350456 | + | 0.0160048i | ||||
\(261\) | −24.5918 | + | 8.78256i | −1.52219 | + | 0.543627i | ||||
\(262\) | −14.6596 | + | 2.10774i | −0.905674 | + | 0.130216i | ||||
\(263\) | −4.72171 | − | 2.15633i | −0.291153 | − | 0.132965i | 0.264484 | − | 0.964390i | \(-0.414798\pi\) |
−0.555637 | + | 0.831425i | \(0.687526\pi\) | |||||||
\(264\) | −1.24780 | − | 12.4228i | −0.0767966 | − | 0.764573i | ||||
\(265\) | 0.523616 | + | 1.78327i | 0.0321655 | + | 0.109546i | ||||
\(266\) | −0.639383 | − | 1.28375i | −0.0392031 | − | 0.0787117i | ||||
\(267\) | 28.1356 | + | 1.20189i | 1.72187 | + | 0.0735543i | ||||
\(268\) | −0.174357 | − | 0.201219i | −0.0106506 | − | 0.0122914i | ||||
\(269\) | 11.2070 | + | 24.5399i | 0.683303 | + | 1.49622i | 0.859105 | + | 0.511799i | \(0.171021\pi\) |
−0.175803 | + | 0.984425i | \(0.556252\pi\) | |||||||
\(270\) | −2.84922 | + | 0.0419562i | −0.173398 | + | 0.00255337i | ||||
\(271\) | 9.22228 | + | 1.32596i | 0.560213 | + | 0.0805465i | 0.416604 | − | 0.909088i | \(-0.363220\pi\) |
0.143609 | + | 0.989634i | \(0.454129\pi\) | |||||||
\(272\) | 1.59602 | + | 1.02570i | 0.0967732 | + | 0.0621923i | ||||
\(273\) | 0.103914 | − | 11.5500i | 0.00628916 | − | 0.699040i | ||||
\(274\) | 14.5123 | + | 4.26120i | 0.876721 | + | 0.257429i | ||||
\(275\) | − | 11.2574i | − | 0.678849i | ||||||
\(276\) | 4.05504 | − | 1.96717i | 0.244085 | − | 0.118410i | ||||
\(277\) | 19.2004 | 1.15364 | 0.576820 | − | 0.816871i | \(-0.304293\pi\) | ||||
0.576820 | + | 0.816871i | \(0.304293\pi\) | |||||||
\(278\) | 11.6464 | + | 3.41970i | 0.698505 | + | 0.205100i | ||||
\(279\) | −8.46155 | − | 16.0249i | −0.506580 | − | 0.959387i | ||||
\(280\) | −1.15798 | − | 3.50260i | −0.0692027 | − | 0.209320i | ||||
\(281\) | −22.6219 | − | 3.25254i | −1.34951 | − | 0.194030i | −0.570631 | − | 0.821206i | \(-0.693301\pi\) |
−0.778877 | + | 0.627176i | \(0.784211\pi\) | |||||||
\(282\) | −1.35590 | + | 0.550557i | −0.0807426 | + | 0.0327852i | ||||
\(283\) | 28.3496 | − | 12.9468i | 1.68521 | − | 0.769608i | 0.686093 | − | 0.727514i | \(-0.259324\pi\) |
0.999114 | − | 0.0420943i | \(-0.0134030\pi\) | |||||||
\(284\) | 0.221261 | − | 0.191724i | 0.0131294 | − | 0.0113767i | ||||
\(285\) | −0.0150775 | + | 0.352956i | −0.000893113 | + | 0.0209073i | ||||
\(286\) | 6.50014 | + | 2.96851i | 0.384361 | + | 0.175532i | ||||
\(287\) | −3.68191 | + | 8.83877i | −0.217336 | + | 0.521736i | ||||
\(288\) | 0.761248 | − | 8.89395i | 0.0448570 | − | 0.524081i | ||||
\(289\) | −6.84431 | + | 14.9869i | −0.402606 | + | 0.881585i | ||||
\(290\) | −0.679325 | − | 4.72481i | −0.0398914 | − | 0.277451i | ||||
\(291\) | −2.21405 | − | 3.79175i | −0.129790 | − | 0.222276i | ||||
\(292\) | 3.70260 | − | 1.69092i | 0.216678 | − | 0.0989537i | ||||
\(293\) | −8.35428 | + | 5.36897i | −0.488062 | + | 0.313658i | −0.761426 | − | 0.648252i | \(-0.775500\pi\) |
0.273363 | + | 0.961911i | \(0.411864\pi\) | |||||||
\(294\) | 14.5350 | + | 1.72463i | 0.847699 | + | 0.100582i | ||||
\(295\) | 3.70918 | + | 2.38375i | 0.215957 | + | 0.138787i | ||||
\(296\) | 2.29972 | + | 1.99272i | 0.133669 | + | 0.115825i | ||||
\(297\) | −8.12597 | − | 9.10351i | −0.471517 | − | 0.528239i | ||||
\(298\) | 3.02400 | 0.175176 | ||||||||
\(299\) | −0.927873 | + | 12.0524i | −0.0536603 | + | 0.697006i | ||||
\(300\) | 0.830848 | − | 4.42768i | 0.0479690 | − | 0.255632i | ||||
\(301\) | 2.08708 | − | 1.44289i | 0.120297 | − | 0.0831670i | ||||
\(302\) | −3.41340 | − | 2.95773i | −0.196419 | − | 0.170198i | ||||
\(303\) | −12.5925 | + | 13.3371i | −0.723422 | + | 0.766198i | ||||
\(304\) | 1.16463 | + | 0.167449i | 0.0667963 | + | 0.00960386i | ||||
\(305\) | −2.44081 | − | 3.79797i | −0.139760 | − | 0.217471i | ||||
\(306\) | 2.61779 | − | 0.150469i | 0.149649 | − | 0.00860172i | ||||
\(307\) | −17.1564 | + | 14.8661i | −0.979166 | + | 0.848452i | −0.988457 | − | 0.151505i | \(-0.951588\pi\) |
0.00929072 | + | 0.999957i | \(0.497043\pi\) | |||||||
\(308\) | 1.72604 | − | 2.89584i | 0.0983501 | − | 0.165006i | ||||
\(309\) | −9.45979 | + | 13.4234i | −0.538148 | + | 0.763628i | ||||
\(310\) | 3.17842 | − | 0.933268i | 0.180522 | − | 0.0530061i | ||||
\(311\) | −7.37884 | + | 2.16662i | −0.418416 | + | 0.122858i | −0.484162 | − | 0.874978i | \(-0.660875\pi\) |
0.0657462 | + | 0.997836i | \(0.479057\pi\) | |||||||
\(312\) | 10.9537 | + | 7.71935i | 0.620131 | + | 0.437022i | ||||
\(313\) | 31.3105 | − | 4.50177i | 1.76977 | − | 0.254455i | 0.821117 | − | 0.570760i | \(-0.193351\pi\) |
0.948658 | + | 0.316304i | \(0.102442\pi\) | |||||||
\(314\) | 1.45691 | + | 1.68136i | 0.0822181 | + | 0.0948848i | ||||
\(315\) | −2.92841 | − | 2.10341i | −0.164997 | − | 0.118513i | ||||
\(316\) | 1.91363 | − | 1.22981i | 0.107650 | − | 0.0691824i | ||||
\(317\) | 3.15633 | + | 0.453812i | 0.177277 | + | 0.0254886i | 0.230382 | − | 0.973100i | \(-0.426003\pi\) |
−0.0531045 | + | 0.998589i | \(0.516912\pi\) | |||||||
\(318\) | 5.87330 | − | 6.22058i | 0.329358 | − | 0.348833i | ||||
\(319\) | 13.3862 | − | 15.4485i | 0.749485 | − | 0.864952i | ||||
\(320\) | 3.84991 | + | 1.13043i | 0.215216 | + | 0.0631932i | ||||
\(321\) | −28.1044 | − | 5.27375i | −1.56863 | − | 0.294352i | ||||
\(322\) | −15.0541 | − | 2.83186i | −0.838931 | − | 0.157814i | ||||
\(323\) | − | 0.325083i | − | 0.0180881i | ||||||
\(324\) | −2.52416 | − | 4.18024i | −0.140231 | − | 0.232236i | ||||
\(325\) | 9.13137 | + | 7.91237i | 0.506517 | + | 0.438899i | ||||
\(326\) | −6.93560 | + | 10.7920i | −0.384127 | + | 0.597713i | ||||
\(327\) | 10.5570 | + | 3.59590i | 0.583805 | + | 0.198854i | ||||
\(328\) | −6.00571 | − | 9.34507i | −0.331610 | − | 0.515995i | ||||
\(329\) | −1.79323 | − | 0.461525i | −0.0988638 | − | 0.0254447i | ||||
\(330\) | 1.92628 | − | 1.12478i | 0.106038 | − | 0.0619170i | ||||
\(331\) | −1.98118 | − | 13.7794i | −0.108895 | − | 0.757384i | −0.968963 | − | 0.247204i | \(-0.920488\pi\) |
0.860068 | − | 0.510179i | \(-0.170421\pi\) | |||||||
\(332\) | 2.98030 | − | 6.52594i | 0.163565 | − | 0.358157i | ||||
\(333\) | 2.96324 | + | 0.253628i | 0.162385 | + | 0.0138988i | ||||
\(334\) | 5.88206 | + | 20.0325i | 0.321852 | + | 1.09613i | ||||
\(335\) | 0.0925995 | − | 0.202765i | 0.00505925 | − | 0.0110782i | ||||
\(336\) | −7.94516 | + | 9.00423i | −0.433444 | + | 0.491221i | ||||
\(337\) | −16.8607 | − | 19.4583i | −0.918464 | − | 1.05996i | −0.998005 | − | 0.0631319i | \(-0.979891\pi\) |
0.0795417 | − | 0.996832i | \(-0.474654\pi\) | |||||||
\(338\) | 7.29929 | − | 3.33347i | 0.397029 | − | 0.181317i | ||||
\(339\) | −13.1780 | + | 5.35087i | −0.715731 | + | 0.290620i | ||||
\(340\) | 0.0253951 | − | 0.176627i | 0.00137724 | − | 0.00957894i | ||||
\(341\) | 11.9338 | + | 7.66937i | 0.646250 | + | 0.415320i | ||||
\(342\) | 1.43803 | − | 0.759315i | 0.0777597 | − | 0.0410590i | ||||
\(343\) | 13.4787 | + | 12.7013i | 0.727783 | + | 0.685807i | ||||
\(344\) | 2.94367i | 0.158712i | ||||||||
\(345\) | 2.90842 | + | 2.40397i | 0.156584 | + | 0.129425i | ||||
\(346\) | − | 20.0996i | − | 1.08056i | ||||||
\(347\) | 4.93316 | − | 16.8008i | 0.264826 | − | 0.901914i | −0.714502 | − | 0.699634i | \(-0.753347\pi\) |
0.979328 | − | 0.202280i | \(-0.0648352\pi\) | |||||||
\(348\) | 6.40512 | − | 5.08812i | 0.343351 | − | 0.272752i | ||||
\(349\) | 3.26157 | − | 5.07511i | 0.174588 | − | 0.271664i | −0.742921 | − | 0.669379i | \(-0.766560\pi\) |
0.917509 | + | 0.397715i | \(0.130197\pi\) | |||||||
\(350\) | −11.2270 | + | 10.4108i | −0.600111 | + | 0.556481i | ||||
\(351\) | 13.0956 | − | 0.192839i | 0.698992 | − | 0.0102930i | ||||
\(352\) | 2.90278 | + | 6.35620i | 0.154719 | + | 0.338787i | ||||
\(353\) | 15.9305 | + | 18.3848i | 0.847897 | + | 0.978526i | 0.999952 | − | 0.00984634i | \(-0.00313424\pi\) |
−0.152054 | + | 0.988372i | \(0.548589\pi\) | |||||||
\(354\) | 0.866197 | − | 20.2772i | 0.0460379 | − | 1.07772i | ||||
\(355\) | 0.222961 | + | 0.101823i | 0.0118335 | + | 0.00540419i | ||||
\(356\) | −8.46441 | + | 2.48537i | −0.448613 | + | 0.131725i | ||||
\(357\) | 2.77484 | + | 1.81876i | 0.146860 | + | 0.0962590i | ||||
\(358\) | −11.8917 | + | 26.0391i | −0.628494 | + | 1.37621i | ||||
\(359\) | 33.4432 | − | 4.80840i | 1.76506 | − | 0.253778i | 0.818090 | − | 0.575090i | \(-0.195033\pi\) |
0.946973 | + | 0.321312i | \(0.104124\pi\) | |||||||
\(360\) | 3.93932 | − | 1.40686i | 0.207620 | − | 0.0741481i | ||||
\(361\) | 7.80913 | + | 17.0996i | 0.411007 | + | 0.899980i | ||||
\(362\) | 19.9318 | − | 12.8094i | 1.04759 | − | 0.673248i | ||||
\(363\) | −8.99291 | − | 3.06313i | −0.472005 | − | 0.160773i | ||||
\(364\) | 1.13577 | + | 3.43542i | 0.0595306 | + | 0.180065i | ||||
\(365\) | 2.57546 | + | 2.23165i | 0.134806 | + | 0.116810i | ||||
\(366\) | −9.43189 | + | 18.5179i | −0.493013 | + | 0.967947i | ||||
\(367\) | − | 8.58566i | − | 0.448168i | −0.974570 | − | 0.224084i | \(-0.928061\pi\) | ||
0.974570 | − | 0.224084i | \(-0.0719390\pi\) | |||||||
\(368\) | 8.93454 | − | 8.83794i | 0.465745 | − | 0.460709i | ||||
\(369\) | −10.1184 | − | 3.93601i | −0.526744 | − | 0.204900i | ||||
\(370\) | −0.153165 | + | 0.521632i | −0.00796266 | + | 0.0271183i | ||||
\(371\) | 10.6568 | − | 1.90064i | 0.553272 | − | 0.0986765i | ||||
\(372\) | 4.12766 | + | 3.89721i | 0.214009 | + | 0.202061i | ||||
\(373\) | −3.51593 | + | 24.4538i | −0.182048 | + | 1.26617i | 0.669864 | + | 0.742484i | \(0.266353\pi\) |
−0.851911 | + | 0.523686i | \(0.824557\pi\) | |||||||
\(374\) | −1.72675 | + | 1.10972i | −0.0892881 | + | 0.0573820i | ||||
\(375\) | 7.47935 | − | 1.85339i | 0.386232 | − | 0.0957086i | ||||
\(376\) | 1.62352 | − | 1.40679i | 0.0837268 | − | 0.0725497i | ||||
\(377\) | 3.12232 | + | 21.7162i | 0.160808 | + | 1.11844i | ||||
\(378\) | −1.56408 | + | 16.5229i | −0.0804476 | + | 0.849846i | ||||
\(379\) | 26.9378 | − | 7.90964i | 1.38370 | − | 0.406291i | 0.496644 | − | 0.867954i | \(-0.334565\pi\) |
0.887055 | + | 0.461663i | \(0.152747\pi\) | |||||||
\(380\) | −0.0311786 | − | 0.106185i | −0.00159943 | − | 0.00544716i | ||||
\(381\) | 20.2810 | + | 14.2925i | 1.03903 | + | 0.732229i | ||||
\(382\) | 0.116801 | + | 0.812368i | 0.00597605 | + | 0.0415644i | ||||
\(383\) | −12.3416 | − | 14.2430i | −0.630626 | − | 0.727781i | 0.347062 | − | 0.937842i | \(-0.387179\pi\) |
−0.977688 | + | 0.210061i | \(0.932634\pi\) | |||||||
\(384\) | −1.96327 | − | 7.92276i | −0.100187 | − | 0.404307i | ||||
\(385\) | 2.80564 | + | 0.307328i | 0.142989 | + | 0.0156629i | ||||
\(386\) | 12.2243 | + | 1.75759i | 0.622201 | + | 0.0894590i | ||||
\(387\) | 1.69176 | + | 2.32706i | 0.0859969 | + | 0.118291i | ||||
\(388\) | 1.03951 | + | 0.900739i | 0.0527730 | + | 0.0457281i | ||||
\(389\) | 1.59960 | − | 5.44773i | 0.0811029 | − | 0.276211i | −0.908950 | − | 0.416904i | \(-0.863115\pi\) |
0.990053 | + | 0.140693i | \(0.0449332\pi\) | |||||||
\(390\) | −0.441544 | + | 2.35304i | −0.0223585 | + | 0.119151i | ||||
\(391\) | −2.76826 | − | 2.09587i | −0.139997 | − | 0.105993i | ||||
\(392\) | −21.0136 | + | 4.48306i | −1.06135 | + | 0.226429i | ||||
\(393\) | 9.64394 | − | 18.9342i | 0.486473 | − | 0.955106i | ||||
\(394\) | 9.10550 | − | 10.5083i | 0.458728 | − | 0.529401i | ||||
\(395\) | 1.60211 | + | 1.02961i | 0.0806109 | + | 0.0518055i | ||||
\(396\) | 3.32907 | + | 1.87871i | 0.167292 | + | 0.0944087i | ||||
\(397\) | −7.79602 | − | 12.1308i | −0.391271 | − | 0.608829i | 0.588609 | − | 0.808418i | \(-0.299676\pi\) |
−0.979880 | + | 0.199589i | \(0.936039\pi\) | |||||||
\(398\) | −10.5466 | − | 23.0937i | −0.528651 | − | 1.15758i | ||||
\(399\) | 2.03397 | + | 0.311142i | 0.101826 | + | 0.0155766i | ||||
\(400\) | −1.78769 | − | 12.4337i | −0.0893845 | − | 0.621683i | ||||
\(401\) | −17.1424 | − | 7.82868i | −0.856051 | − | 0.390946i | −0.0614741 | − | 0.998109i | \(-0.519580\pi\) |
−0.794577 | + | 0.607163i | \(0.792307\pi\) | |||||||
\(402\) | −1.02094 | + | 0.102547i | −0.0509199 | + | 0.00511458i | ||||
\(403\) | −14.6087 | + | 4.28949i | −0.727710 | + | 0.213675i | ||||
\(404\) | 2.38697 | − | 5.22673i | 0.118756 | − | 0.260039i | ||||
\(405\) | 2.30561 | − | 3.37614i | 0.114567 | − | 0.167762i | ||||
\(406\) | −27.7863 | + | 0.936618i | −1.37901 | + | 0.0464836i | ||||
\(407\) | −2.11772 | + | 0.967133i | −0.104972 | + | 0.0479390i | ||||
\(408\) | −3.56636 | + | 1.44811i | −0.176561 | + | 0.0716919i | ||||
\(409\) | −2.80663 | − | 0.403533i | −0.138779 | − | 0.0199534i | 0.0725751 | − | 0.997363i | \(-0.476878\pi\) |
−0.211354 | + | 0.977410i | \(0.567787\pi\) | |||||||
\(410\) | 1.07297 | − | 1.66958i | 0.0529904 | − | 0.0824547i | ||||
\(411\) | −16.9914 | + | 13.4977i | −0.838126 | + | 0.665793i | ||||
\(412\) | 1.44931 | − | 4.93588i | 0.0714021 | − | 0.243173i | ||||
\(413\) | 16.1537 | − | 19.9634i | 0.794871 | − | 0.982337i | ||||
\(414\) | 2.80526 | − | 17.1411i | 0.137871 | − | 0.842438i | ||||
\(415\) | 6.00638 | 0.294842 | ||||||||
\(416\) | −7.19601 | − | 2.11294i | −0.352813 | − | 0.103595i | ||||
\(417\) | −13.6360 | + | 10.8322i | −0.667756 | + | 0.530454i | ||||
\(418\) | −0.688227 | + | 1.07090i | −0.0336623 | + | 0.0523795i | ||||
\(419\) | 4.61100 | − | 32.0702i | 0.225262 | − | 1.56673i | −0.492418 | − | 0.870359i | \(-0.663887\pi\) |
0.717680 | − | 0.696373i | \(-0.245204\pi\) | |||||||
\(420\) | 1.08081 | + | 0.327944i | 0.0527380 | + | 0.0160020i | ||||
\(421\) | 2.12538 | + | 4.65394i | 0.103585 | + | 0.226819i | 0.954327 | − | 0.298764i | \(-0.0965744\pi\) |
−0.850742 | + | 0.525583i | \(0.823847\pi\) | |||||||
\(422\) | 21.4029 | − | 18.5457i | 1.04188 | − | 0.902790i | ||||
\(423\) | 0.474945 | − | 2.04517i | 0.0230926 | − | 0.0994395i | ||||
\(424\) | −5.21706 | + | 11.4238i | −0.253363 | + | 0.554787i | ||||
\(425\) | −3.33001 | + | 0.977779i | −0.161529 | + | 0.0474292i | ||||
\(426\) | −0.112761 | − | 1.12263i | −0.00546329 | − | 0.0543916i | ||||
\(427\) | −23.5373 | + | 11.7230i | −1.13905 | + | 0.567314i | ||||
\(428\) | 8.86643 | − | 1.27480i | 0.428575 | − | 0.0616198i | ||||
\(429\) | −8.85356 | + | 5.16971i | −0.427454 | + | 0.249596i | ||||
\(430\) | −0.478386 | + | 0.218472i | −0.0230698 | + | 0.0105356i | ||||
\(431\) | −2.69505 | − | 4.19358i | −0.129816 | − | 0.201998i | 0.770261 | − | 0.637729i | \(-0.220126\pi\) |
−0.900077 | + | 0.435732i | \(0.856490\pi\) | |||||||
\(432\) | −10.4206 | − | 8.76426i | −0.501363 | − | 0.421671i | ||||
\(433\) | −0.573457 | + | 0.892317i | −0.0275586 | + | 0.0428820i | −0.854760 | − | 0.519024i | \(-0.826295\pi\) |
0.827201 | + | 0.561906i | \(0.189932\pi\) | |||||||
\(434\) | −3.38761 | − | 18.9941i | −0.162611 | − | 0.911747i | ||||
\(435\) | 6.10253 | + | 3.10825i | 0.292594 | + | 0.149029i | ||||
\(436\) | −3.49366 | −0.167316 | ||||||||
\(437\) | −2.10165 | − | 0.469164i | −0.100536 | − | 0.0224432i | ||||
\(438\) | 2.89308 | − | 15.4176i | 0.138237 | − | 0.736680i | ||||
\(439\) | 0.822293 | − | 2.80047i | 0.0392459 | − | 0.133659i | −0.937540 | − | 0.347878i | \(-0.886902\pi\) |
0.976786 | + | 0.214219i | \(0.0687205\pi\) | |||||||
\(440\) | −2.14431 | + | 2.47467i | −0.102226 | + | 0.117975i | ||||
\(441\) | −14.0354 | + | 15.6207i | −0.668352 | + | 0.743845i | ||||
\(442\) | 0.313524 | − | 2.18061i | 0.0149128 | − | 0.103721i | ||||
\(443\) | 7.67173 | + | 11.9374i | 0.364495 | + | 0.567165i | 0.974263 | − | 0.225415i | \(-0.0723738\pi\) |
−0.609768 | + | 0.792580i | \(0.708737\pi\) | |||||||
\(444\) | −0.904304 | + | 0.224087i | −0.0429164 | + | 0.0106347i | ||||
\(445\) | −4.83659 | − | 5.58172i | −0.229276 | − | 0.264599i | ||||
\(446\) | −2.50752 | − | 17.4402i | −0.118734 | − | 0.825816i | ||||
\(447\) | −2.49926 | + | 3.54644i | −0.118211 | + | 0.167741i | ||||
\(448\) | 8.98657 | − | 21.5731i | 0.424575 | − | 1.01923i | ||||
\(449\) | −6.68816 | − | 22.7778i | −0.315634 | − | 1.07495i | −0.952642 | − | 0.304093i | \(-0.901646\pi\) |
0.637008 | − | 0.770857i | \(-0.280172\pi\) | |||||||
\(450\) | −12.1034 | − | 12.4467i | −0.570559 | − | 0.586743i | ||||
\(451\) | 8.41238 | − | 1.20952i | 0.396124 | − | 0.0569540i | ||||
\(452\) | 3.36721 | − | 2.91770i | 0.158380 | − | 0.137237i | ||||
\(453\) | 6.28980 | − | 1.55862i | 0.295520 | − | 0.0732302i | ||||
\(454\) | 14.6498 | + | 22.7955i | 0.687549 | + | 1.06985i | ||||
\(455\) | −2.22125 | + | 2.05976i | −0.104134 | + | 0.0965629i | ||||
\(456\) | −1.63884 | + | 1.73575i | −0.0767458 | + | 0.0812837i | ||||
\(457\) | 16.9237 | − | 19.5310i | 0.791659 | − | 0.913624i | −0.206234 | − | 0.978503i | \(-0.566121\pi\) |
0.997893 | + | 0.0648792i | \(0.0206662\pi\) | |||||||
\(458\) | −9.22177 | − | 2.70776i | −0.430905 | − | 0.126525i | ||||
\(459\) | −1.98707 | + | 3.19440i | −0.0927486 | + | 0.149102i | ||||
\(460\) | −1.10524 | − | 0.419089i | −0.0515319 | − | 0.0195401i | ||||
\(461\) | 20.6931 | 0.963774 | 0.481887 | − | 0.876233i | \(-0.339952\pi\) | ||||
0.481887 | + | 0.876233i | \(0.339952\pi\) | |||||||
\(462\) | −5.29052 | − | 11.8660i | −0.246137 | − | 0.552056i | ||||
\(463\) | −10.6507 | + | 12.2916i | −0.494982 | + | 0.571240i | −0.947190 | − | 0.320673i | \(-0.896091\pi\) |
0.452208 | + | 0.891913i | \(0.350636\pi\) | |||||||
\(464\) | 12.3316 | − | 19.1884i | 0.572481 | − | 0.890798i | ||||
\(465\) | −1.53238 | + | 4.49885i | −0.0710626 | + | 0.208629i | ||||
\(466\) | −4.16223 | + | 2.67490i | −0.192811 | + | 0.123912i | ||||
\(467\) | −5.12277 | − | 11.2173i | −0.237053 | − | 0.519075i | 0.753294 | − | 0.657684i | \(-0.228464\pi\) |
−0.990347 | + | 0.138610i | \(0.955737\pi\) | |||||||
\(468\) | −3.86375 | + | 1.37988i | −0.178602 | + | 0.0637848i | ||||
\(469\) | −1.11523 | − | 0.664722i | −0.0514965 | − | 0.0306940i | ||||
\(470\) | 0.349117 | + | 0.159436i | 0.0161036 | + | 0.00735425i | ||||
\(471\) | −3.17594 | + | 0.319003i | −0.146339 | + | 0.0146989i | ||||
\(472\) | 8.39375 | + | 28.5865i | 0.386354 | + | 1.31580i | ||||
\(473\) | −2.04862 | − | 0.935571i | −0.0941954 | − | 0.0430176i | ||||
\(474\) | 0.374138 | − | 8.75837i | 0.0171847 | − | 0.402285i | ||||
\(475\) | −1.62668 | + | 1.40952i | −0.0746371 | + | 0.0646734i | ||||
\(476\) | −1.00652 | − | 0.259049i | −0.0461338 | − | 0.0118735i | ||||
\(477\) | 2.44113 | + | 12.0291i | 0.111772 | + | 0.550776i | ||||
\(478\) | 2.22304 | − | 15.4616i | 0.101680 | − | 0.707198i | ||||
\(479\) | −28.1606 | − | 18.0977i | −1.28669 | − | 0.826906i | −0.294994 | − | 0.955499i | \(-0.595318\pi\) |
−0.991697 | + | 0.128593i | \(0.958954\pi\) | |||||||
\(480\) | −1.83310 | + | 1.45618i | −0.0836691 | + | 0.0664653i | ||||
\(481\) | 0.703978 | − | 2.39753i | 0.0320986 | − | 0.109318i | ||||
\(482\) | −27.6618 | −1.25996 | ||||||||
\(483\) | 15.7629 | − | 15.3144i | 0.717238 | − | 0.696828i | ||||
\(484\) | 2.97604 | 0.135275 | ||||||||
\(485\) | −0.324431 | + | 1.10491i | −0.0147317 | + | 0.0501714i | ||||
\(486\) | −18.7720 | − | 1.32862i | −0.851515 | − | 0.0602676i | ||||
\(487\) | −4.11399 | − | 2.64390i | −0.186423 | − | 0.119807i | 0.444100 | − | 0.895977i | \(-0.353523\pi\) |
−0.630523 | + | 0.776170i | \(0.717160\pi\) | |||||||
\(488\) | 4.34153 | − | 30.1960i | 0.196532 | − | 1.36691i | ||||
\(489\) | −6.92435 | − | 17.0531i | −0.313130 | − | 0.771169i | ||||
\(490\) | −2.28814 | − | 3.08228i | −0.103367 | − | 0.139243i | ||||
\(491\) | −24.8490 | + | 21.5318i | −1.12142 | + | 0.971715i | −0.999782 | − | 0.0208593i | \(-0.993360\pi\) |
−0.121637 | + | 0.992575i | \(0.538814\pi\) | |||||||
\(492\) | 3.39795 | + | 0.145153i | 0.153192 | + | 0.00654399i | ||||
\(493\) | −5.73243 | − | 2.61791i | −0.258176 | − | 0.117905i | ||||
\(494\) | −0.384926 | − | 1.31094i | −0.0173187 | − | 0.0589819i | ||||
\(495\) | −0.272923 | + | 3.18866i | −0.0122670 | + | 0.143320i | ||||
\(496\) | 14.3986 | + | 6.57560i | 0.646514 | + | 0.295253i | ||||
\(497\) | 0.730931 | − | 1.22631i | 0.0327868 | − | 0.0550075i | ||||
\(498\) | −13.9414 | − | 23.8759i | −0.624731 | − | 1.06990i | ||||
\(499\) | −6.27967 | − | 13.7506i | −0.281116 | − | 0.615559i | 0.715422 | − | 0.698693i | \(-0.246235\pi\) |
−0.996538 | + | 0.0831334i | \(0.973507\pi\) | |||||||
\(500\) | −2.03065 | + | 1.30502i | −0.0908133 | + | 0.0583622i | ||||
\(501\) | −28.3547 | − | 9.65808i | −1.26679 | − | 0.431491i | ||||
\(502\) | −13.3325 | + | 20.7457i | −0.595057 | + | 0.925926i | ||||
\(503\) | −6.33587 | + | 7.31198i | −0.282502 | + | 0.326025i | −0.879211 | − | 0.476433i | \(-0.841929\pi\) |
0.596708 | + | 0.802458i | \(0.296475\pi\) | |||||||
\(504\) | −5.64703 | − | 23.6999i | −0.251539 | − | 1.05568i | ||||
\(505\) | 4.81061 | 0.214069 | ||||||||
\(506\) | 4.68220 | + | 12.7649i | 0.208149 | + | 0.567471i | ||||
\(507\) | −2.12331 | + | 11.3154i | −0.0942995 | + | 0.502533i | ||||
\(508\) | −7.45749 | − | 2.18972i | −0.330873 | − | 0.0971530i | ||||
\(509\) | 3.28461 | − | 3.79064i | 0.145588 | − | 0.168017i | −0.678272 | − | 0.734811i | \(-0.737271\pi\) |
0.823860 | + | 0.566794i | \(0.191816\pi\) | |||||||
\(510\) | −0.500024 | − | 0.472108i | −0.0221414 | − | 0.0209053i | ||||
\(511\) | 14.5541 | − | 13.4959i | 0.643834 | − | 0.597025i | ||||
\(512\) | 12.9127 | + | 20.0925i | 0.570665 | + | 0.887972i | ||||
\(513\) | −0.298000 | + | 2.31402i | −0.0131570 | + | 0.102166i | ||||
\(514\) | −2.96795 | + | 2.57174i | −0.130911 | + | 0.113435i | ||||
\(515\) | 4.26300 | − | 0.612927i | 0.187850 | − | 0.0270088i | ||||
\(516\) | −0.736695 | − | 0.519167i | −0.0324312 | − | 0.0228551i | ||||
\(517\) | 0.463046 | + | 1.57699i | 0.0203647 | + | 0.0693559i | ||||
\(518\) | 2.92298 | + | 1.21761i | 0.128428 | + | 0.0534986i | ||||
\(519\) | 23.5721 | + | 16.6118i | 1.03470 | + | 0.729178i | ||||
\(520\) | −0.500159 | − | 3.47868i | −0.0219334 | − | 0.152550i | ||||
\(521\) | 18.9976 | + | 21.9244i | 0.832300 | + | 0.960526i | 0.999678 | − | 0.0253672i | \(-0.00807550\pi\) |
−0.167378 | + | 0.985893i | \(0.553530\pi\) | |||||||
\(522\) | −1.80903 | − | 31.4727i | −0.0791790 | − | 1.37752i | ||||
\(523\) | 14.6630 | + | 22.8161i | 0.641170 | + | 0.997680i | 0.997982 | + | 0.0635039i | \(0.0202275\pi\) |
−0.356811 | + | 0.934176i | \(0.616136\pi\) | |||||||
\(524\) | −0.947300 | + | 6.58861i | −0.0413830 | + | 0.287825i | ||||
\(525\) | −2.93053 | − | 21.7709i | −0.127899 | − | 0.950161i | ||||
\(526\) | 4.10369 | − | 4.73592i | 0.178930 | − | 0.206496i | ||||
\(527\) | 1.23212 | − | 4.19620i | 0.0536718 | − | 0.182789i | ||||
\(528\) | 10.4760 | + | 1.96580i | 0.455909 | + | 0.0855506i | ||||
\(529\) | −17.5449 | + | 14.8719i | −0.762824 | + | 0.646606i | ||||
\(530\) | −2.24372 | −0.0974609 | ||||||||
\(531\) | 23.0645 | + | 17.7745i | 1.00091 | + | 0.771347i | ||||
\(532\) | −0.634556 | + | 0.113173i | −0.0275115 | + | 0.00490669i | ||||
\(533\) | −4.93161 | + | 7.67374i | −0.213612 | + | 0.332387i | ||||
\(534\) | −10.9616 | + | 32.1816i | −0.474355 | + | 1.39264i | ||||
\(535\) | 4.05449 | + | 6.30891i | 0.175291 | + | 0.272758i | ||||
\(536\) | 1.37012 | − | 0.625715i | 0.0591803 | − | 0.0270268i | ||||
\(537\) | −20.7095 | − | 35.4668i | −0.893681 | − | 1.53050i | ||||
\(538\) | −32.2371 | + | 4.63500i | −1.38984 | + | 0.199829i | ||||
\(539\) | 3.55871 | − | 16.0490i | 0.153284 | − | 0.691280i | ||||
\(540\) | −0.342681 | + | 1.23399i | −0.0147466 | + | 0.0531027i | ||||
\(541\) | −37.3010 | + | 10.9526i | −1.60370 | + | 0.470888i | −0.956572 | − | 0.291497i | \(-0.905847\pi\) |
−0.647124 | + | 0.762384i | \(0.724029\pi\) | |||||||
\(542\) | −4.67257 | + | 10.2315i | −0.200704 | + | 0.439481i | ||||
\(543\) | −1.45078 | + | 33.9620i | −0.0622588 | + | 1.45745i | ||||
\(544\) | 1.62807 | − | 1.41073i | 0.0698030 | − | 0.0604847i | ||||
\(545\) | −1.21506 | − | 2.66062i | −0.0520476 | − | 0.113968i | ||||
\(546\) | 13.3435 | + | 4.04874i | 0.571048 | + | 0.173270i | ||||
\(547\) | −3.71494 | + | 25.8380i | −0.158840 | + | 1.10475i | 0.741937 | + | 0.670470i | \(0.233907\pi\) |
−0.900776 | + | 0.434283i | \(0.857002\pi\) | |||||||
\(548\) | 3.67515 | − | 5.71865i | 0.156995 | − | 0.244288i | ||||
\(549\) | −13.9219 | − | 26.3660i | −0.594171 | − | 1.12527i | ||||
\(550\) | 13.0399 | + | 3.82886i | 0.556023 | + | 0.163263i | ||||
\(551\) | −3.90835 | −0.166501 | ||||||||
\(552\) | 4.21493 | + | 25.1463i | 0.179399 | + | 1.07030i | ||||
\(553\) | 6.97728 | − | 8.62283i | 0.296704 | − | 0.366680i | ||||
\(554\) | −6.53040 | + | 22.2405i | −0.277450 | + | 0.944908i | ||||
\(555\) | −0.485163 | − | 0.610742i | −0.0205940 | − | 0.0259245i | ||||
\(556\) | 2.94938 | − | 4.58932i | 0.125082 | − | 0.194631i | ||||
\(557\) | 34.1642 | + | 4.91207i | 1.44758 | + | 0.208131i | 0.820868 | − | 0.571118i | \(-0.193490\pi\) |
0.626715 | + | 0.779249i | \(0.284399\pi\) | |||||||
\(558\) | 21.4402 | − | 4.35095i | 0.907634 | − | 0.184190i | ||||
\(559\) | 2.19876 | − | 1.00414i | 0.0929978 | − | 0.0424707i | ||||
\(560\) | 3.14758 | − | 0.106098i | 0.133010 | − | 0.00448348i | ||||
\(561\) | 0.125685 | − | 2.94222i | 0.00530642 | − | 0.124221i | ||||
\(562\) | 11.4616 | − | 25.0975i | 0.483480 | − | 1.05867i | ||||
\(563\) | −33.7668 | + | 9.91483i | −1.42310 | + | 0.417860i | −0.900552 | − | 0.434749i | \(-0.856837\pi\) |
−0.522549 | + | 0.852609i | \(0.675019\pi\) | |||||||
\(564\) | 0.0657326 | + | 0.654422i | 0.00276784 | + | 0.0275561i | ||||
\(565\) | 3.39308 | + | 1.54957i | 0.142748 | + | 0.0651907i | ||||
\(566\) | 5.35455 | + | 37.2417i | 0.225069 | + | 1.56539i | ||||
\(567\) | −18.0847 | − | 15.4901i | −0.759488 | − | 0.650521i | ||||
\(568\) | 0.688038 | + | 1.50659i | 0.0288694 | + | 0.0632153i | ||||
\(569\) | −5.10944 | − | 7.95045i | −0.214199 | − | 0.333300i | 0.717482 | − | 0.696577i | \(-0.245294\pi\) |
−0.931681 | + | 0.363277i | \(0.881658\pi\) | |||||||
\(570\) | −0.403714 | − | 0.137512i | −0.0169097 | − | 0.00575972i | ||||
\(571\) | −4.71067 | − | 3.02736i | −0.197135 | − | 0.126691i | 0.438349 | − | 0.898805i | \(-0.355563\pi\) |
−0.635485 | + | 0.772113i | \(0.719200\pi\) | |||||||
\(572\) | 2.10318 | − | 2.42720i | 0.0879385 | − | 0.101486i | ||||
\(573\) | −1.04925 | − | 0.534423i | −0.0438329 | − | 0.0223258i | ||||
\(574\) | −8.98597 | − | 7.27111i | −0.375067 | − | 0.303490i | ||||
\(575\) | 1.51539 | + | 22.9396i | 0.0631962 | + | 0.956645i | ||||
\(576\) | 24.6964 | + | 9.60674i | 1.02901 | + | 0.400281i | ||||
\(577\) | 2.20018 | − | 7.49313i | 0.0915947 | − | 0.311943i | −0.900934 | − | 0.433957i | \(-0.857117\pi\) |
0.992528 | + | 0.122014i | \(0.0389352\pi\) | |||||||
\(578\) | −15.0320 | − | 13.0253i | −0.625250 | − | 0.541782i | ||||
\(579\) | −12.1643 | + | 12.8836i | −0.505532 | + | 0.535424i | ||||
\(580\) | −2.12352 | − | 0.305316i | −0.0881743 | − | 0.0126775i | ||||
\(581\) | 3.80928 | − | 34.7754i | 0.158036 | − | 1.44273i | ||||
\(582\) | 5.14516 | − | 1.27497i | 0.213274 | − | 0.0528493i | ||||
\(583\) | −6.29215 | − | 7.26152i | −0.260594 | − | 0.300742i | ||||
\(584\) | 3.27714 | + | 22.7930i | 0.135609 | + | 0.943181i | ||||
\(585\) | −2.39463 | − | 2.46255i | −0.0990057 | − | 0.101814i | ||||
\(586\) | −3.37762 | − | 11.5031i | −0.139528 | − | 0.475190i | ||||
\(587\) | 8.41259 | − | 2.47016i | 0.347225 | − | 0.101954i | −0.103470 | − | 0.994633i | \(-0.532995\pi\) |
0.450695 | + | 0.892678i | \(0.351176\pi\) | |||||||
\(588\) | 2.58417 | − | 6.04962i | 0.106569 | − | 0.249482i | ||||
\(589\) | −0.385998 | − | 2.68467i | −0.0159048 | − | 0.110620i | ||||
\(590\) | −4.02274 | + | 3.48572i | −0.165613 | + | 0.143505i | ||||
\(591\) | 4.79827 | + | 19.3634i | 0.197374 | + | 0.796505i | ||||
\(592\) | −2.18541 | + | 1.40448i | −0.0898198 | + | 0.0577237i | ||||
\(593\) | −5.42747 | + | 37.7489i | −0.222879 | + | 1.55016i | 0.504188 | + | 0.863594i | \(0.331792\pi\) |
−0.727068 | + | 0.686566i | \(0.759117\pi\) | |||||||
\(594\) | 13.3087 | − | 6.31633i | 0.546063 | − | 0.259162i | ||||
\(595\) | −0.152778 | − | 0.856615i | −0.00626328 | − | 0.0351178i | ||||
\(596\) | 0.382905 | − | 1.30405i | 0.0156844 | − | 0.0534161i | ||||
\(597\) | 35.7999 | + | 6.71780i | 1.46519 | + | 0.274941i | ||||
\(598\) | −13.6451 | − | 5.17401i | −0.557989 | − | 0.211581i | ||||
\(599\) | 31.0338i | 1.26801i | 0.773330 | + | 0.634004i | \(0.218590\pi\) | ||||
−0.773330 | + | 0.634004i | \(0.781410\pi\) | |||||||
\(600\) | 22.7095 | + | 11.5668i | 0.927112 | + | 0.472214i | ||||
\(601\) | −24.0940 | − | 20.8776i | −0.982815 | − | 0.851614i | 0.00611698 | − | 0.999981i | \(-0.498053\pi\) |
−0.988932 | + | 0.148367i | \(0.952598\pi\) | |||||||
\(602\) | 0.961501 | + | 2.90829i | 0.0391879 | + | 0.118533i | ||||
\(603\) | 0.723519 | − | 1.28207i | 0.0294640 | − | 0.0522100i | ||||
\(604\) | −1.70768 | + | 1.09746i | −0.0694846 | + | 0.0446551i | ||||
\(605\) | 1.03504 | + | 2.26642i | 0.0420804 | + | 0.0921431i | ||||
\(606\) | −11.1659 | − | 19.1226i | −0.453585 | − | 0.776802i | ||||
\(607\) | 4.58276 | − | 0.658901i | 0.186008 | − | 0.0267440i | −0.0486810 | − | 0.998814i | \(-0.515502\pi\) |
0.234689 | + | 0.972070i | \(0.424593\pi\) | |||||||
\(608\) | 0.555006 | − | 1.21529i | 0.0225085 | − | 0.0492867i | ||||
\(609\) | 21.8663 | − | 33.3608i | 0.886066 | − | 1.35185i | ||||
\(610\) | 5.22948 | − | 1.53551i | 0.211736 | − | 0.0621712i | ||||
\(611\) | −1.60461 | − | 0.732803i | −0.0649157 | − | 0.0296460i | ||||
\(612\) | 0.266582 | − | 1.14793i | 0.0107759 | − | 0.0464024i | ||||
\(613\) | −13.2288 | − | 15.2669i | −0.534307 | − | 0.616623i | 0.422848 | − | 0.906201i | \(-0.361031\pi\) |
−0.957154 | + | 0.289578i | \(0.906485\pi\) | |||||||
\(614\) | −11.3847 | − | 24.9290i | −0.459450 | − | 1.00605i | ||||
\(615\) | 1.07123 | + | 2.63821i | 0.0431963 | + | 0.106383i | ||||
\(616\) | 12.9678 | + | 13.9845i | 0.522487 | + | 0.563451i | ||||
\(617\) | 16.0640 | − | 24.9960i | 0.646711 | − | 1.00630i | −0.350845 | − | 0.936434i | \(-0.614106\pi\) |
0.997556 | − | 0.0698688i | \(-0.0222581\pi\) | |||||||
\(618\) | −12.3313 | − | 15.5231i | −0.496038 | − | 0.624432i | ||||
\(619\) | 0.433064 | − | 1.47488i | 0.0174063 | − | 0.0592804i | −0.950332 | − | 0.311238i | \(-0.899256\pi\) |
0.967738 | + | 0.251958i | \(0.0810744\pi\) | |||||||
\(620\) | − | 1.48881i | − | 0.0597922i | ||||||
\(621\) | 17.7839 | + | 17.4566i | 0.713644 | + | 0.700508i | ||||
\(622\) | − | 9.28408i | − | 0.372258i | ||||||
\(623\) | −35.3842 | + | 24.4627i | −1.41764 | + | 0.980076i | ||||
\(624\) | −8.95766 | + | 7.11581i | −0.358593 | + | 0.284860i | ||||
\(625\) | 18.4633 | + | 11.8656i | 0.738532 | + | 0.474626i | ||||
\(626\) | −5.43470 | + | 37.7992i | −0.217214 | + | 1.51076i | ||||
\(627\) | −0.687110 | − | 1.69220i | −0.0274405 | − | 0.0675799i | ||||
\(628\) | 0.909537 | − | 0.415372i | 0.0362945 | − | 0.0165751i | ||||
\(629\) | 0.470020 | + | 0.542432i | 0.0187409 | + | 0.0216282i | ||||
\(630\) | 3.43245 | − | 2.67667i | 0.136752 | − | 0.106641i | ||||
\(631\) | 12.2126 | − | 26.7420i | 0.486178 | − | 1.06458i | −0.494540 | − | 0.869155i | \(-0.664664\pi\) |
0.980718 | − | 0.195426i | \(-0.0626091\pi\) | |||||||
\(632\) | 3.62552 | + | 12.3474i | 0.144215 | + | 0.491153i | ||||
\(633\) | 4.06074 | + | 40.4280i | 0.161400 | + | 1.60687i | ||||
\(634\) | −1.59919 | + | 3.50174i | −0.0635119 | + | 0.139072i | ||||
\(635\) | −0.926055 | − | 6.44085i | −0.0367494 | − | 0.255597i | ||||
\(636\) | −1.93884 | − | 3.32043i | −0.0768800 | − | 0.131663i | ||||
\(637\) | 10.5167 | + | 14.1668i | 0.416689 | + | 0.561308i | ||||
\(638\) | 13.3417 | + | 20.7601i | 0.528202 | + | 0.821899i | ||||
\(639\) | 1.40977 | + | 0.795584i | 0.0557697 | + | 0.0314728i | ||||
\(640\) | −1.15735 | + | 1.80087i | −0.0457483 | + | 0.0711857i | ||||
\(641\) | −23.8383 | − | 20.6560i | −0.941558 | − | 0.815865i | 0.0415038 | − | 0.999138i | \(-0.486785\pi\) |
−0.983062 | + | 0.183274i | \(0.941331\pi\) | |||||||
\(642\) | 15.6676 | − | 30.7606i | 0.618350 | − | 1.21402i | ||||
\(643\) | − | 43.3960i | − | 1.71137i | −0.517496 | − | 0.855685i | \(-0.673136\pi\) | ||
0.517496 | − | 0.855685i | \(-0.326864\pi\) | |||||||
\(644\) | −3.12737 | + | 6.13326i | −0.123236 | + | 0.241684i | ||||
\(645\) | 0.139159 | − | 0.741595i | 0.00547939 | − | 0.0292003i | ||||
\(646\) | 0.376555 | + | 0.110566i | 0.0148153 | + | 0.00435018i | ||||
\(647\) | −27.4425 | + | 31.6703i | −1.07888 | + | 1.24509i | −0.110958 | + | 0.993825i | \(0.535392\pi\) |
−0.967918 | + | 0.251265i | \(0.919153\pi\) | |||||||
\(648\) | 26.7137 | − | 7.03873i | 1.04941 | − | 0.276507i | ||||
\(649\) | −22.5622 | − | 3.24396i | −0.885645 | − | 0.127337i | ||||
\(650\) | −12.2709 | + | 7.88604i | −0.481305 | + | 0.309316i | ||||
\(651\) | 25.0754 | + | 11.7253i | 0.982781 | + | 0.459551i | ||||
\(652\) | 3.77568 | + | 4.35737i | 0.147867 | + | 0.170648i | ||||
\(653\) | 0.205064 | − | 0.0294837i | 0.00802477 | − | 0.00115379i | −0.138301 | − | 0.990390i | \(-0.544164\pi\) |
0.146326 | + | 0.989236i | \(0.453255\pi\) | |||||||
\(654\) | −7.75589 | + | 11.0056i | −0.303279 | + | 0.430351i | ||||
\(655\) | −5.34705 | + | 1.57004i | −0.208927 | + | 0.0613464i | ||||
\(656\) | 9.09926 | − | 2.67178i | 0.355266 | − | 0.104316i | ||||
\(657\) | 15.6901 | + | 16.1351i | 0.612128 | + | 0.629492i | ||||
\(658\) | 1.14451 | − | 1.92018i | 0.0446176 | − | 0.0748566i | ||||
\(659\) | −13.6511 | + | 11.8287i | −0.531771 | + | 0.460782i | −0.878880 | − | 0.477042i | \(-0.841709\pi\) |
0.347109 | + | 0.937825i | \(0.387163\pi\) | |||||||
\(660\) | −0.241134 | − | 0.973097i | −0.00938613 | − | 0.0378778i | ||||
\(661\) | 0.0833945 | + | 0.129764i | 0.00324367 | + | 0.00504725i | 0.842872 | − | 0.538115i | \(-0.180863\pi\) |
−0.839628 | + | 0.543162i | \(0.817227\pi\) | |||||||
\(662\) | 16.6350 | + | 2.39175i | 0.646537 | + | 0.0929580i | ||||
\(663\) | 2.29821 | + | 2.16991i | 0.0892552 | + | 0.0842722i | ||||
\(664\) | 30.6731 | + | 26.5784i | 1.19035 | + | 1.03144i | ||||
\(665\) | −0.306880 | − | 0.443889i | −0.0119003 | − | 0.0172133i | ||||
\(666\) | −1.30164 | + | 3.34616i | −0.0504374 | + | 0.129661i | ||||
\(667\) | −25.1979 | + | 33.2818i | −0.975665 | + | 1.28868i | ||||
\(668\) | 9.38348 | 0.363058 | ||||||||
\(669\) | 22.5256 | + | 11.4732i | 0.870889 | + | 0.443578i | ||||
\(670\) | 0.203375 | + | 0.176225i | 0.00785705 | + | 0.00680817i | ||||
\(671\) | 19.6348 | + | 12.6185i | 0.757991 | + | 0.487131i | ||||
\(672\) | 7.26837 | + | 11.5367i | 0.280383 | + | 0.445038i | ||||
\(673\) | 4.67023 | − | 3.00138i | 0.180024 | − | 0.115695i | −0.447525 | − | 0.894271i | \(-0.647694\pi\) |
0.627549 | + | 0.778577i | \(0.284058\pi\) | |||||||
\(674\) | 28.2739 | − | 12.9123i | 1.08907 | − | 0.497362i | ||||
\(675\) | 24.6002 | − | 3.90749i | 0.946860 | − | 0.150399i | ||||
\(676\) | −0.513258 | − | 3.56979i | −0.0197407 | − | 0.137300i | ||||
\(677\) | 3.36068 | − | 7.35886i | 0.129161 | − | 0.282824i | −0.833992 | − | 0.551776i | \(-0.813950\pi\) |
0.963153 | + | 0.268952i | \(0.0866774\pi\) | |||||||
\(678\) | −1.71603 | − | 17.0845i | −0.0659036 | − | 0.656125i | ||||
\(679\) | 6.19140 | + | 2.57912i | 0.237604 | + | 0.0989774i | ||||
\(680\) | 0.918267 | + | 0.419359i | 0.0352139 | + | 0.0160817i | ||||
\(681\) | −38.8414 | − | 1.65922i | −1.48841 | − | 0.0635814i | ||||
\(682\) | −12.9426 | + | 11.2148i | −0.495597 | + | 0.429438i | ||||
\(683\) | −11.9449 | + | 5.45507i | −0.457060 | + | 0.208732i | −0.630621 | − | 0.776091i | \(-0.717200\pi\) |
0.173561 | + | 0.984823i | \(0.444473\pi\) | |||||||
\(684\) | −0.145357 | − | 0.716273i | −0.00555785 | − | 0.0273874i | ||||
\(685\) | 5.63325 | + | 0.809939i | 0.215235 | + | 0.0309462i | ||||
\(686\) | −19.2968 | + | 11.2929i | −0.736753 | + | 0.431166i | ||||
\(687\) | 10.7971 | − | 8.57705i | 0.411936 | − | 0.327235i | ||||
\(688\) | −2.41123 | − | 0.708001i | −0.0919273 | − | 0.0269923i | ||||
\(689\) | 10.3126 | 0.392878 | ||||||||
\(690\) | −3.77381 | + | 2.55129i | −0.143666 | + | 0.0971258i | ||||
\(691\) | − | 30.5098i | − | 1.16065i | −0.814386 | − | 0.580324i | \(-0.802926\pi\) | ||
0.814386 | − | 0.580324i | \(-0.197074\pi\) | |||||||
\(692\) | −8.66764 | − | 2.54505i | −0.329494 | − | 0.0967482i | ||||
\(693\) | 18.2885 | + | 3.60243i | 0.694722 | + | 0.136845i | ||||
\(694\) | 17.7831 | + | 11.4285i | 0.675037 | + | 0.433820i | ||||
\(695\) | 4.52079 | + | 0.649991i | 0.171483 | + | 0.0246556i | ||||
\(696\) | 17.4100 | + | 42.8770i | 0.659925 | + | 1.62525i | ||||
\(697\) | −1.08845 | − | 2.38337i | −0.0412279 | − | 0.0902766i | ||||
\(698\) | 4.76935 | + | 5.50413i | 0.180523 | + | 0.208334i | ||||
\(699\) | 0.302956 | − | 7.09204i | 0.0114588 | − | 0.268246i | ||||
\(700\) | 3.06791 | + | 6.15972i | 0.115956 | + | 0.232816i | ||||
\(701\) | 4.10582 | + | 13.9831i | 0.155075 | + | 0.528136i | 0.999977 | − | 0.00678493i | \(-0.00215973\pi\) |
−0.844902 | + | 0.534921i | \(0.820342\pi\) | |||||||
\(702\) | −4.23068 | + | 15.2347i | −0.159677 | + | 0.574997i | ||||
\(703\) | 0.404905 | + | 0.184914i | 0.0152713 | + | 0.00697416i | ||||
\(704\) | −20.5324 | + | 2.95211i | −0.773843 | + | 0.111262i | ||||
\(705\) | −0.475517 | + | 0.277661i | −0.0179090 | + | 0.0104573i | ||||
\(706\) | −26.7141 | + | 12.1999i | −1.00540 | + | 0.459149i | ||||
\(707\) | 3.05092 | − | 27.8522i | 0.114742 | − | 1.04749i | ||||
\(708\) | −8.63456 | − | 2.94107i | −0.324507 | − | 0.110532i | ||||
\(709\) | −5.51538 | − | 3.54452i | −0.207134 | − | 0.133117i | 0.432961 | − | 0.901413i | \(-0.357469\pi\) |
−0.640095 | + | 0.768296i | \(0.721105\pi\) | |||||||
\(710\) | −0.193778 | + | 0.223632i | −0.00727235 | + | 0.00839274i | ||||
\(711\) | 9.96227 | + | 7.67735i | 0.373614 | + | 0.287923i | ||||
\(712\) | − | 49.9066i | − | 1.87033i | ||||||
\(713\) | −25.3501 | − | 14.0216i | −0.949369 | − | 0.525114i | ||||
\(714\) | −3.05051 | + | 2.59560i | −0.114162 | + | 0.0971379i | ||||
\(715\) | 2.57992 | + | 0.757532i | 0.0964834 | + | 0.0283301i | ||||
\(716\) | 9.72320 | + | 8.42520i | 0.363373 | + | 0.314865i | ||||
\(717\) | 16.2955 | + | 15.3857i | 0.608567 | + | 0.574591i | ||||
\(718\) | −5.80488 | + | 40.3738i | −0.216636 | + | 1.50674i | ||||
\(719\) | −7.27817 | + | 4.67739i | −0.271430 | + | 0.174437i | −0.669274 | − | 0.743016i | \(-0.733395\pi\) |
0.397844 | + | 0.917453i | \(0.369758\pi\) | |||||||
\(720\) | 0.204923 | + | 3.56517i | 0.00763704 | + | 0.132866i | ||||
\(721\) | −0.845071 | − | 25.0704i | −0.0314721 | − | 0.933671i | ||||
\(722\) | −22.4631 | + | 3.22971i | −0.835990 | + | 0.120197i | ||||
\(723\) | 22.8618 | − | 32.4407i | 0.850239 | − | 1.20648i | ||||
\(724\) | −3.00005 | − | 10.2172i | −0.111496 | − | 0.379721i | ||||
\(725\) | 11.7555 | + | 40.0354i | 0.436587 | + | 1.48688i | ||||
\(726\) | 6.60679 | − | 9.37498i | 0.245201 | − | 0.347938i | ||||
\(727\) | 48.7381 | − | 7.00749i | 1.80760 | − | 0.259893i | 0.845770 | − | 0.533548i | \(-0.179142\pi\) |
0.961828 | + | 0.273655i | \(0.0882327\pi\) | |||||||
\(728\) | −20.4579 | + | 0.689592i | −0.758220 | + | 0.0255580i | ||||
\(729\) | 17.0727 | − | 20.9170i | 0.632324 | − | 0.774704i | ||||
\(730\) | −3.46096 | + | 2.22422i | −0.128096 | + | 0.0823221i | ||||
\(731\) | −0.0988118 | + | 0.687251i | −0.00365469 | + | 0.0254189i | ||||
\(732\) | 6.79127 | + | 6.41212i | 0.251013 | + | 0.236999i | ||||
\(733\) | −9.74845 | − | 8.44708i | −0.360067 | − | 0.312000i | 0.455975 | − | 0.889993i | \(-0.349291\pi\) |
−0.816042 | + | 0.577993i | \(0.803836\pi\) | |||||||
\(734\) | 9.94507 | + | 2.92014i | 0.367079 | + | 0.107784i | ||||
\(735\) | 5.50586 | − | 0.136014i | 0.203087 | − | 0.00501697i | ||||
\(736\) | −6.77068 | − | 12.5614i | −0.249571 | − | 0.463020i | ||||
\(737\) | 1.15239i | 0.0424489i | ||||||||
\(738\) | 8.00067 | − | 10.3818i | 0.294509 | − | 0.382160i | ||||
\(739\) | 11.2104 | − | 12.9375i | 0.412381 | − | 0.475913i | −0.511120 | − | 0.859509i | \(-0.670769\pi\) |
0.923501 | + | 0.383597i | \(0.125315\pi\) | |||||||
\(740\) | 0.205551 | + | 0.132100i | 0.00755622 | + | 0.00485609i | ||||
\(741\) | 1.85555 | + | 0.632031i | 0.0681654 | + | 0.0232183i | ||||
\(742\) | −1.42298 | + | 12.9906i | −0.0522392 | + | 0.476899i | ||||
\(743\) | −41.3195 | + | 18.8700i | −1.51586 | + | 0.692272i | −0.987626 | − | 0.156825i | \(-0.949874\pi\) |
−0.528237 | + | 0.849097i | \(0.677147\pi\) | |||||||
\(744\) | −27.7331 | + | 16.1937i | −1.01674 | + | 0.593690i | ||||
\(745\) | 1.12628 | − | 0.161935i | 0.0412637 | − | 0.00593282i | ||||
\(746\) | −27.1299 | − | 12.3898i | −0.993295 | − | 0.453623i | ||||
\(747\) | 39.5230 | + | 3.38284i | 1.44607 | + | 0.123771i | ||||
\(748\) | 0.259903 | + | 0.885148i | 0.00950299 | + | 0.0323642i | ||||
\(749\) | 39.0984 | − | 19.4733i | 1.42862 | − | 0.711540i | ||||
\(750\) | −0.397017 | + | 9.29397i | −0.0144970 | + | 0.339368i | ||||
\(751\) | 20.2777 | + | 23.4017i | 0.739942 | + | 0.853939i | 0.993553 | − | 0.113367i | \(-0.0361637\pi\) |
−0.253611 | + | 0.967306i | \(0.581618\pi\) | |||||||
\(752\) | 0.761853 | + | 1.66823i | 0.0277819 | + | 0.0608339i | ||||
\(753\) | −13.3108 | − | 32.7816i | −0.485074 | − | 1.19463i | ||||
\(754\) | −26.2166 | − | 3.76938i | −0.954753 | − | 0.137273i | ||||
\(755\) | −1.42969 | − | 0.918808i | −0.0520319 | − | 0.0334388i | ||||
\(756\) | 6.92719 | + | 2.76664i | 0.251939 | + | 0.100622i | ||||
\(757\) | 20.6420 | + | 6.06105i | 0.750247 | + | 0.220292i | 0.634432 | − | 0.772978i | \(-0.281234\pi\) |
0.115815 | + | 0.993271i | \(0.463052\pi\) | |||||||
\(758\) | 33.8932i | 1.23105i | ||||||||
\(759\) | −18.8400 | − | 5.05880i | −0.683848 | − | 0.183623i | ||||
\(760\) | 0.626071 | 0.0227100 | ||||||||
\(761\) | −10.7863 | − | 3.16716i | −0.391005 | − | 0.114809i | 0.0803200 | − | 0.996769i | \(-0.474406\pi\) |
−0.471325 | + | 0.881960i | \(0.656224\pi\) | |||||||
\(762\) | −23.4535 | + | 18.6310i | −0.849630 | + | 0.674932i | ||||
\(763\) | −16.1749 | + | 5.34753i | −0.585571 | + | 0.193593i | ||||
\(764\) | 0.365110 | + | 0.0524950i | 0.0132092 | + | 0.00189920i | ||||
\(765\) | 0.966928 | − | 0.196223i | 0.0349594 | − | 0.00709447i | ||||
\(766\) | 20.6957 | − | 9.45141i | 0.747766 | − | 0.341493i | ||||
\(767\) | 18.4893 | − | 16.0211i | 0.667611 | − | 0.578488i | ||||
\(768\) | −20.7256 | − | 0.885351i | −0.747872 | − | 0.0319474i | ||||
\(769\) | 20.8589 | + | 9.52594i | 0.752192 | + | 0.343514i | 0.754341 | − | 0.656483i | \(-0.227957\pi\) |
−0.00214901 | + | 0.999998i | \(0.500684\pi\) | |||||||
\(770\) | −1.31024 | + | 3.14534i | −0.0472176 | + | 0.113350i | ||||
\(771\) | −0.563106 | − | 5.60618i | −0.0202798 | − | 0.201902i | ||||
\(772\) | 2.30580 | − | 5.04899i | 0.0829874 | − | 0.181717i | ||||
\(773\) | 1.54344 | + | 10.7348i | 0.0555136 | + | 0.386105i | 0.998569 | + | 0.0534709i | \(0.0170284\pi\) |
−0.943056 | + | 0.332634i | \(0.892062\pi\) | |||||||
\(774\) | −3.27091 | + | 1.16815i | −0.117570 | + | 0.0419883i | ||||
\(775\) | −26.3396 | + | 12.0289i | −0.946148 | + | 0.432091i | ||||
\(776\) | −6.54606 | + | 4.20690i | −0.234990 | + | 0.151019i | ||||
\(777\) | −3.84373 | + | 2.42163i | −0.137893 | + | 0.0868757i | ||||
\(778\) | 5.76625 | + | 3.70574i | 0.206730 | + | 0.132857i | ||||
\(779\) | −1.22807 | − | 1.06413i | −0.0440002 | − | 0.0381264i | ||||
\(780\) | 0.958801 | + | 0.488355i | 0.0343306 | + | 0.0174859i | ||||
\(781\) | −1.26718 | −0.0453431 | ||||||||
\(782\) | 3.36926 | − | 2.49373i | 0.120484 | − | 0.0891757i | ||||
\(783\) | 38.4051 | + | 23.8898i | 1.37248 | + | 0.853752i | ||||
\(784\) | 1.38193 | − | 18.2910i | 0.0493548 | − | 0.653250i | ||||
\(785\) | 0.632657 | + | 0.548200i | 0.0225805 | + | 0.0195661i | ||||
\(786\) | 18.6521 | + | 17.6108i | 0.665299 | + | 0.628156i | ||||
\(787\) | −19.2537 | − | 2.76827i | −0.686322 | − | 0.0986782i | −0.209673 | − | 0.977772i | \(-0.567240\pi\) |
−0.476649 | + | 0.879093i | \(0.658149\pi\) | |||||||
\(788\) | −3.37858 | − | 5.25718i | −0.120357 | − | 0.187279i | ||||
\(789\) | 2.16250 | + | 8.72677i | 0.0769870 | + | 0.310681i | ||||
\(790\) | −1.73754 | + | 1.50559i | −0.0618191 | + | 0.0535665i | ||||
\(791\) | 11.1235 | − | 18.6623i | 0.395506 | − | 0.663555i | ||||
\(792\) | −15.5037 | + | 15.0761i | −0.550900 | + | 0.535704i | ||||
\(793\) | −24.0358 | + | 7.05754i | −0.853536 | + | 0.250621i | ||||
\(794\) | 16.7031 | − | 4.90448i | 0.592772 | − | 0.174054i | ||||
\(795\) | 1.85438 | − | 2.63135i | 0.0657680 | − | 0.0933243i | ||||
\(796\) | −11.2942 | + | 1.62387i | −0.400314 | + | 0.0575564i | ||||
\(797\) | −3.03791 | − | 3.50594i | −0.107608 | − | 0.124187i | 0.699390 | − | 0.714740i | \(-0.253455\pi\) |
−0.806999 | + | 0.590553i | \(0.798910\pi\) | |||||||
\(798\) | −1.05219 | + | 2.25019i | −0.0372473 | + | 0.0796558i | ||||
\(799\) | 0.426263 | − | 0.273942i | 0.0150801 | − | 0.00969139i | ||||
\(800\) | −14.1183 | − | 2.02990i | −0.499157 | − | 0.0717679i | ||||
\(801\) | −28.6819 | − | 39.4527i | −1.01343 | − | 1.39399i | ||||
\(802\) | 14.8987 | − | 17.1940i | 0.526090 | − | 0.607141i | ||||
\(803\) | −16.9041 | − | 4.96350i | −0.596533 | − | 0.175158i | ||||
\(804\) | −0.0850515 | + | 0.453249i | −0.00299953 | + | 0.0159849i | ||||
\(805\) | −5.75848 | − | 0.248576i | −0.202960 | − | 0.00876116i | ||||
\(806\) | − | 18.3807i | − | 0.647431i | ||||||
\(807\) | 21.2074 | − | 41.6372i | 0.746537 | − | 1.46570i | ||||
\(808\) | 24.5666 | + | 21.2871i | 0.864251 | + | 0.748877i | ||||
\(809\) | −4.19389 | + | 6.52583i | −0.147449 | + | 0.229436i | −0.907120 | − | 0.420873i | \(-0.861724\pi\) |
0.759670 | + | 0.650308i | \(0.225360\pi\) | |||||||
\(810\) | 3.12652 | + | 3.81895i | 0.109855 | + | 0.134184i | ||||
\(811\) | −12.8286 | − | 19.9617i | −0.450474 | − | 0.700952i | 0.539534 | − | 0.841964i | \(-0.318601\pi\) |
−0.990008 | + | 0.141012i | \(0.954964\pi\) | |||||||
\(812\) | −3.11445 | + | 12.1010i | −0.109296 | + | 0.424662i | ||||
\(813\) | −8.13735 | − | 13.9359i | −0.285389 | − | 0.488753i | ||||
\(814\) | −0.399987 | − | 2.78197i | −0.0140196 | − | 0.0975081i | ||||
\(815\) | −2.00523 | + | 4.39084i | −0.0702401 | + | 0.153804i | ||||
\(816\) | −0.328410 | − | 3.26959i | −0.0114966 | − | 0.114459i | ||||
\(817\) | 0.121315 | + | 0.413162i | 0.00424428 | + | 0.0144547i | ||||
\(818\) | 1.42201 | − | 3.11377i | 0.0497195 | − | 0.108871i | ||||
\(819\) | −15.7763 | + | 12.3025i | −0.551267 | + | 0.429885i | ||||
\(820\) | −0.584118 | − | 0.674109i | −0.0203983 | − | 0.0235409i | ||||
\(821\) | 1.06754 | − | 0.487530i | 0.0372574 | − | 0.0170149i | −0.396699 | − | 0.917949i | \(-0.629844\pi\) |
0.433957 | + | 0.900934i | \(0.357117\pi\) | |||||||
\(822\) | −9.85578 | − | 24.2726i | −0.343760 | − | 0.846604i | ||||
\(823\) | 1.61663 | − | 11.2439i | 0.0563521 | − | 0.391937i | −0.942052 | − | 0.335466i | \(-0.891106\pi\) |
0.998404 | − | 0.0564710i | \(-0.0179848\pi\) | |||||||
\(824\) | 24.4823 | + | 15.7338i | 0.852883 | + | 0.548114i | ||||
\(825\) | −15.2675 | + | 12.1282i | −0.531546 | + | 0.422251i | ||||
\(826\) | 17.6302 | + | 25.5013i | 0.613433 | + | 0.887303i | ||||
\(827\) | 4.00197i | 0.139162i | 0.997576 | + | 0.0695811i | \(0.0221663\pi\) | ||||
−0.997576 | + | 0.0695811i | \(0.977834\pi\) | |||||||
\(828\) | −7.03661 | − | 3.38016i | −0.244539 | − | 0.117469i | ||||
\(829\) | − | 21.7506i | − | 0.755431i | −0.925922 | − | 0.377716i | \(-0.876710\pi\) | ||
0.925922 | − | 0.377716i | \(-0.123290\pi\) | |||||||
\(830\) | −2.04288 | + | 6.95740i | −0.0709093 | + | 0.241495i | ||||
\(831\) | −20.6856 | − | 26.0398i | −0.717576 | − | 0.903312i | ||||
\(832\) | 12.0367 | − | 18.7295i | 0.417299 | − | 0.649330i | ||||
\(833\) | −5.05648 | + | 0.341274i | −0.175197 | + | 0.0118245i | ||||
\(834\) | −7.90946 | − | 19.4792i | −0.273882 | − | 0.674510i | ||||
\(835\) | 3.26349 | + | 7.14604i | 0.112938 | + | 0.247299i | ||||
\(836\) | 0.374665 | + | 0.432386i | 0.0129581 | + | 0.0149544i | ||||
\(837\) | −12.6171 | + | 28.7401i | −0.436112 | + | 0.993405i | ||||
\(838\) | 35.5797 | + | 16.2487i | 1.22908 | + | 0.561303i | ||||
\(839\) | −6.12208 | + | 1.79761i | −0.211358 | + | 0.0620602i | −0.385697 | − | 0.922625i | \(-0.626039\pi\) |
0.174340 | + | 0.984686i | \(0.444221\pi\) | |||||||
\(840\) | −3.50272 | + | 5.34401i | −0.120855 | + | 0.184386i | ||||
\(841\) | −19.4271 | + | 42.5395i | −0.669901 | + | 1.46688i | ||||
\(842\) | −6.11370 | + | 0.879018i | −0.210692 | + | 0.0302929i | ||||
\(843\) | 19.9606 | + | 34.1842i | 0.687480 | + | 1.17737i | ||||
\(844\) | −5.28747 | − | 11.5779i | −0.182002 | − | 0.398529i | ||||
\(845\) | 2.54009 | − | 1.63241i | 0.0873816 | − | 0.0561568i | ||||
\(846\) | 2.20745 | + | 1.24574i | 0.0758938 | + | 0.0428295i | ||||
\(847\) | 13.7784 | − | 4.55524i | 0.473433 | − | 0.156520i | ||||
\(848\) | −8.10270 | − | 7.02103i | −0.278248 | − | 0.241103i | ||||
\(849\) | −48.1011 | − | 24.4998i | −1.65083 | − | 0.840829i | ||||
\(850\) | − | 4.18983i | − | 0.143710i | ||||||
\(851\) | 4.18515 | − | 2.25582i | 0.143465 | − | 0.0773285i | ||||
\(852\) | −0.498394 | − | 0.0935230i | −0.0170747 | − | 0.00320404i | ||||
\(853\) | −8.25532 | + | 28.1151i | −0.282657 | + | 0.962641i | 0.688706 | + | 0.725041i | \(0.258179\pi\) |
−0.971363 | + | 0.237600i | \(0.923639\pi\) | |||||||
\(854\) | −5.57367 | − | 31.2512i | −0.190727 | − | 1.06940i | ||||
\(855\) | 0.494928 | − | 0.359810i | 0.0169262 | − | 0.0123052i | ||||
\(856\) | −7.21183 | + | 50.1594i | −0.246495 | + | 1.71441i | ||||
\(857\) | −37.7672 | + | 24.2715i | −1.29010 | + | 0.829098i | −0.992098 | − | 0.125467i | \(-0.959957\pi\) |
−0.298004 | + | 0.954565i | \(0.596321\pi\) | |||||||
\(858\) | −2.97700 | − | 12.0137i | −0.101633 | − | 0.410141i | ||||
\(859\) | −28.5987 | + | 24.7809i | −0.975774 | + | 0.845513i | −0.988007 | − | 0.154412i | \(-0.950652\pi\) |
0.0122323 | + | 0.999925i | \(0.496106\pi\) | |||||||
\(860\) | 0.0336384 | + | 0.233960i | 0.00114706 | + | 0.00797797i | ||||
\(861\) | 15.9540 | − | 4.52901i | 0.543710 | − | 0.154348i | ||||
\(862\) | 5.77421 | − | 1.69546i | 0.196670 | − | 0.0577476i | ||||
\(863\) | 6.57485 | + | 22.3919i | 0.223811 | + | 0.762229i | 0.992461 | + | 0.122560i | \(0.0391104\pi\) |
−0.768650 | + | 0.639669i | \(0.779071\pi\) | |||||||
\(864\) | −12.8822 | + | 8.54951i | −0.438262 | + | 0.290860i | ||||
\(865\) | −1.07633 | − | 7.48603i | −0.0365963 | − | 0.254533i | ||||
\(866\) | −0.838559 | − | 0.967748i | −0.0284954 | − | 0.0328854i | ||||
\(867\) | 27.6992 | − | 6.86388i | 0.940714 | − | 0.233110i | ||||
\(868\) | −8.61986 | − | 0.944216i | −0.292577 | − | 0.0320488i | ||||
\(869\) | −9.74533 | − | 1.40117i | −0.330588 | − | 0.0475313i | ||||
\(870\) | −5.67598 | + | 6.01160i | −0.192434 | + | 0.203812i | ||||
\(871\) | −0.934752 | − | 0.809967i | −0.0316729 | − | 0.0274447i | ||||
\(872\) | 5.56828 | − | 18.9638i | 0.188566 | − | 0.642196i | ||||
\(873\) | −2.75710 | + | 7.08778i | −0.0933138 | + | 0.239885i | ||||
\(874\) | 1.25826 | − | 2.27484i | 0.0425612 | − | 0.0769477i | ||||
\(875\) | −7.40395 | + | 9.15014i | −0.250299 | + | 0.309331i | ||||
\(876\) | −6.28225 | − | 3.19980i | −0.212258 | − | 0.108111i | ||||
\(877\) | 24.2578 | − | 27.9949i | 0.819126 | − | 0.945322i | −0.180139 | − | 0.983641i | \(-0.557655\pi\) |
0.999266 | + | 0.0383189i | \(0.0122003\pi\) | |||||||
\(878\) | 2.96421 | + | 1.90498i | 0.100037 | + | 0.0642900i | ||||
\(879\) | 16.2820 | + | 5.54591i | 0.549177 | + | 0.187059i | ||||
\(880\) | −1.51132 | − | 2.35166i | −0.0509466 | − | 0.0792745i | ||||
\(881\) | 2.09299 | + | 4.58300i | 0.0705145 | + | 0.154405i | 0.941607 | − | 0.336713i | \(-0.109315\pi\) |
−0.871093 | + | 0.491119i | \(0.836588\pi\) | |||||||
\(882\) | −13.3204 | − | 21.5706i | −0.448520 | − | 0.726319i | ||||
\(883\) | −1.68065 | − | 11.6892i | −0.0565583 | − | 0.393372i | −0.998362 | − | 0.0572089i | \(-0.981780\pi\) |
0.941804 | − | 0.336163i | \(-0.109129\pi\) | |||||||
\(884\) | −0.900653 | − | 0.411315i | −0.0302923 | − | 0.0138340i | ||||
\(885\) | −0.763229 | − | 7.59857i | −0.0256556 | − | 0.255423i | ||||
\(886\) | −16.4368 | + | 4.82629i | −0.552207 | + | 0.162142i | ||||
\(887\) | 21.0762 | − | 46.1504i | 0.707670 | − | 1.54958i | −0.122747 | − | 0.992438i | \(-0.539170\pi\) |
0.830417 | − | 0.557142i | \(-0.188102\pi\) | |||||||
\(888\) | 0.224942 | − | 5.26577i | 0.00754855 | − | 0.176708i | ||||
\(889\) | −37.8782 | + | 1.27680i | −1.27039 | + | 0.0428223i | ||||
\(890\) | 8.11052 | − | 3.70395i | 0.271865 | − | 0.124157i | ||||
\(891\) | −3.59176 | + | 20.8282i | −0.120328 | + | 0.697772i | ||||
\(892\) | −7.83831 | − | 1.12698i | −0.262446 | − | 0.0377340i | ||||
\(893\) | 0.169895 | − | 0.264361i | 0.00568530 | − | 0.00884650i | ||||
\(894\) | −3.25792 | − | 4.10119i | −0.108961 | − | 0.137164i | ||||
\(895\) | −3.03462 | + | 10.3350i | −0.101436 | + | 0.345460i | ||||
\(896\) | 9.69260 | + | 7.84289i | 0.323807 | + | 0.262013i | ||||
\(897\) | 17.3452 | − | 11.7262i | 0.579139 | − | 0.391528i | ||||
\(898\) | 28.6591 | 0.956366 | ||||||||
\(899\) | −50.4493 | − | 14.8133i | −1.68258 | − | 0.494050i | ||||
\(900\) | −6.89999 | + | 3.64337i | −0.230000 | + | 0.121446i | ||||
\(901\) | −1.60148 | + | 2.49196i | −0.0533532 | + | 0.0830191i | ||||
\(902\) | −1.46017 | + | 10.1557i | −0.0486185 | + | 0.338149i | ||||
\(903\) | −4.20539 | − | 1.27602i | −0.139947 | − | 0.0424633i | ||||
\(904\) | 10.4707 | + | 22.9277i | 0.348252 | + | 0.762565i | ||||
\(905\) | 6.73760 | − | 5.83816i | 0.223965 | − | 0.194067i | ||||
\(906\) | −0.333873 | + | 7.81581i | −0.0110922 | + | 0.259663i | ||||
\(907\) | 24.0586 | − | 52.6811i | 0.798854 | − | 1.74925i | 0.149497 | − | 0.988762i | \(-0.452235\pi\) |
0.649357 | − | 0.760484i | \(-0.275038\pi\) | |||||||
\(908\) | 11.6852 | − | 3.43108i | 0.387787 | − | 0.113865i | ||||
\(909\) | 31.6546 | + | 2.70937i | 1.04992 | + | 0.0898640i | ||||
\(910\) | −1.63040 | − | 3.27351i | −0.0540473 | − | 0.108516i | ||||
\(911\) | −15.6748 | + | 2.25369i | −0.519328 | + | 0.0746681i | −0.396995 | − | 0.917821i | \(-0.629947\pi\) |
−0.122334 | + | 0.992489i | \(0.539038\pi\) | |||||||
\(912\) | −1.02762 | − | 1.75989i | −0.0340280 | − | 0.0582758i | ||||
\(913\) | −28.2457 | + | 12.8994i | −0.934796 | + | 0.426907i | ||||
\(914\) | 16.8674 | + | 26.2462i | 0.557925 | + | 0.868148i | ||||
\(915\) | −2.52125 | + | 7.40200i | −0.0833498 | + | 0.244703i | ||||
\(916\) | −2.33535 | + | 3.63388i | −0.0771623 | + | 0.120067i | ||||
\(917\) | 5.69898 | + | 31.9538i | 0.188197 | + | 1.05521i | ||||
\(918\) | −3.02435 | − | 3.38817i | −0.0998183 | − | 0.111826i | ||||
\(919\) | −42.2010 | −1.39208 | −0.696042 | − | 0.718001i | \(-0.745057\pi\) | ||||
−0.696042 | + | 0.718001i | \(0.745057\pi\) | |||||||
\(920\) | 4.03640 | − | 5.33134i | 0.133076 | − | 0.175769i | ||||
\(921\) | 38.6450 | + | 7.25168i | 1.27340 | + | 0.238951i | ||||
\(922\) | −7.03810 | + | 23.9696i | −0.231787 | + | 0.789395i | ||||
\(923\) | 0.890643 | − | 1.02786i | 0.0293159 | − | 0.0338323i | ||||
\(924\) | −5.78692 | + | 0.778962i | −0.190376 | + | 0.0256260i | ||||
\(925\) | 0.676312 | − | 4.70386i | 0.0222370 | − | 0.154662i | ||||
\(926\) | −10.6153 | − | 16.5177i | −0.348840 | − | 0.542806i | ||||
\(927\) | 28.3965 | − | 1.63221i | 0.932662 | − | 0.0536088i | ||||
\(928\) | −16.9607 | − | 19.5737i | −0.556762 | − | 0.642538i | ||||
\(929\) | 0.938356 | + | 6.52641i | 0.0307864 | + | 0.214124i | 0.999408 | − | 0.0344177i | \(-0.0109577\pi\) |
−0.968621 | + | 0.248542i | \(0.920049\pi\) | |||||||
\(930\) | −4.68999 | − | 3.30515i | −0.153791 | − | 0.108380i | ||||
\(931\) | −2.76463 | + | 1.49524i | −0.0906071 | + | 0.0490046i | ||||
\(932\) | 0.626480 | + | 2.13359i | 0.0205210 | + | 0.0698882i | ||||
\(933\) | 10.8880 | + | 7.67306i | 0.356458 | + | 0.251205i | ||||
\(934\) | 14.7357 | − | 2.11868i | 0.482168 | − | 0.0693253i | ||||
\(935\) | −0.583697 | + | 0.505776i | −0.0190889 | + | 0.0165407i | ||||
\(936\) | −1.33191 | − | 23.1720i | −0.0435349 | − | 0.757400i | ||||
\(937\) | 28.1233 | + | 43.7607i | 0.918749 | + | 1.42960i | 0.902960 | + | 0.429726i | \(0.141390\pi\) |
0.0157892 | + | 0.999875i | \(0.494974\pi\) | |||||||
\(938\) | 1.14928 | − | 1.06572i | 0.0375253 | − | 0.0347971i | ||||
\(939\) | −39.8378 | − | 37.6137i | −1.30006 | − | 1.22748i | ||||
\(940\) | 0.112960 | − | 0.130363i | 0.00368436 | − | 0.00425197i | ||||
\(941\) | 25.1660 | + | 7.38941i | 0.820388 | + | 0.240888i | 0.664883 | − | 0.746947i | \(-0.268481\pi\) |
0.155505 | + | 0.987835i | \(0.450299\pi\) | |||||||
\(942\) | 0.710681 | − | 3.78730i | 0.0231552 | − | 0.123397i | ||||
\(943\) | −16.9793 | + | 3.59707i | −0.552922 | + | 0.117137i | ||||
\(944\) | −25.4347 | −0.827830 | ||||||||
\(945\) | 0.302260 | + | 6.23765i | 0.00983253 | + | 0.202911i | ||||
\(946\) | 1.78048 | − | 2.05478i | 0.0578883 | − | 0.0668066i | ||||
\(947\) | 15.3503 | − | 23.8855i | 0.498817 | − | 0.776175i | −0.496980 | − | 0.867762i | \(-0.665558\pi\) |
0.995797 | + | 0.0915872i | \(0.0291940\pi\) | |||||||
\(948\) | −3.72954 | − | 1.27034i | −0.121130 | − | 0.0412588i | ||||
\(949\) | 15.9073 | − | 10.2230i | 0.516372 | − | 0.331852i | ||||
\(950\) | −1.07944 | − | 2.36364i | −0.0350216 | − | 0.0766867i | ||||
\(951\) | −2.78501 | − | 4.76957i | −0.0903102 | − | 0.154664i | ||||
\(952\) | 3.01035 | − | 5.05058i | 0.0975660 | − | 0.163690i | ||||
\(953\) | 45.3080 | + | 20.6915i | 1.46767 | + | 0.670263i | 0.979307 | − | 0.202378i | \(-0.0648670\pi\) |
0.488363 | + | 0.872641i | \(0.337594\pi\) | |||||||
\(954\) | −14.7640 | − | 1.26368i | −0.478003 | − | 0.0409131i | ||||
\(955\) | 0.0870042 | + | 0.296309i | 0.00281539 | + | 0.00958833i | ||||
\(956\) | −6.38609 | − | 2.91643i | −0.206541 | − | 0.0943241i | ||||
\(957\) | −35.3732 | − | 1.51106i | −1.14345 | − | 0.0488457i | ||||
\(958\) | 30.5412 | − | 26.4641i | 0.986740 | − | 0.855015i | ||||
\(959\) | 8.26198 | − | 32.1014i | 0.266793 | − | 1.03661i | ||||
\(960\) | −2.61460 | − | 6.43917i | −0.0843857 | − | 0.207823i | ||||
\(961\) | 0.781086 | − | 5.43258i | 0.0251963 | − | 0.175244i | ||||
\(962\) | 2.53770 | + | 1.63088i | 0.0818189 | + | 0.0525818i | ||||
\(963\) | 23.1260 | + | 43.7972i | 0.745226 | + | 1.41135i | ||||
\(964\) | −3.50259 | + | 11.9287i | −0.112811 | + | 0.384198i | ||||
\(965\) | 4.64702 | 0.149593 | ||||||||
\(966\) | 12.3779 | + | 23.4674i | 0.398253 | + | 0.755052i | ||||
\(967\) | −29.6939 | −0.954891 | −0.477446 | − | 0.878661i | \(-0.658437\pi\) | ||||
−0.477446 | + | 0.878661i | \(0.658437\pi\) | |||||||
\(968\) | −4.74329 | + | 16.1542i | −0.152455 | + | 0.519214i | ||||
\(969\) | −0.440881 | + | 0.350229i | −0.0141631 | + | 0.0112510i | ||||
\(970\) | −1.16951 | − | 0.751600i | −0.0375508 | − | 0.0241324i | ||||
\(971\) | −6.04058 | + | 42.0132i | −0.193852 | + | 1.34827i | 0.627844 | + | 0.778340i | \(0.283938\pi\) |
−0.821695 | + | 0.569927i | \(0.806971\pi\) | |||||||
\(972\) | −2.94989 | + | 7.92689i | −0.0946178 | + | 0.254255i | ||||
\(973\) | 6.63040 | − | 25.7620i | 0.212561 | − | 0.825892i | ||||
\(974\) | 4.46177 | − | 3.86615i | 0.142964 | − | 0.123879i | ||||
\(975\) | 0.893162 | − | 20.9085i | 0.0286041 | − | 0.669607i | ||||
\(976\) | 23.6901 | + | 10.8189i | 0.758301 | + | 0.346304i | ||||
\(977\) | 5.37698 | + | 18.3123i | 0.172025 | + | 0.585862i | 0.999696 | + | 0.0246495i | \(0.00784696\pi\) |
−0.827671 | + | 0.561213i | \(0.810335\pi\) | |||||||
\(978\) | 22.1083 | − | 2.22064i | 0.706946 | − | 0.0710083i | ||||
\(979\) | 34.7320 | + | 15.8616i | 1.11004 | + | 0.506938i | ||||
\(980\) | −1.61891 | + | 0.596439i | −0.0517142 | + | 0.0190526i | ||||
\(981\) | −6.49684 | − | 18.1916i | −0.207428 | − | 0.580814i | ||||
\(982\) | −16.4894 | − | 36.1068i | −0.526199 | − | 1.15221i | ||||
\(983\) | −28.2946 | + | 18.1838i | −0.902458 | + | 0.579974i | −0.907518 | − | 0.420013i | \(-0.862026\pi\) |
0.00506039 | + | 0.999987i | \(0.498389\pi\) | |||||||
\(984\) | −6.20364 | + | 18.2130i | −0.197765 | + | 0.580608i | ||||
\(985\) | 2.82859 | − | 4.40138i | 0.0901264 | − | 0.140239i | ||||
\(986\) | 4.98212 | − | 5.74968i | 0.158663 | − | 0.183107i | ||||
\(987\) | 1.30601 | + | 2.92922i | 0.0415708 | + | 0.0932381i | ||||
\(988\) | −0.614062 | −0.0195359 | ||||||||
\(989\) | 4.30045 | + | 1.63067i | 0.136746 | + | 0.0518522i | ||||
\(990\) | −3.60072 | − | 1.40066i | −0.114438 | − | 0.0445158i | ||||
\(991\) | −10.8799 | − | 3.19464i | −0.345612 | − | 0.101481i | 0.104319 | − | 0.994544i | \(-0.466734\pi\) |
−0.449932 | + | 0.893063i | \(0.648552\pi\) | |||||||
\(992\) | 11.7702 | − | 13.5836i | 0.373705 | − | 0.431279i | ||||
\(993\) | −16.5534 | + | 17.5322i | −0.525305 | + | 0.556366i | ||||
\(994\) | 1.17188 | + | 1.26375i | 0.0371696 | + | 0.0400838i | ||||
\(995\) | −5.16469 | − | 8.03642i | −0.163732 | − | 0.254772i | ||||
\(996\) | −12.0614 | + | 2.98882i | −0.382180 | + | 0.0947043i | ||||
\(997\) | 29.4437 | − | 25.5131i | 0.932491 | − | 0.808008i | −0.0491410 | − | 0.998792i | \(-0.515648\pi\) |
0.981632 | + | 0.190784i | \(0.0611029\pi\) | |||||||
\(998\) | 18.0636 | − | 2.59715i | 0.571792 | − | 0.0822113i | ||||
\(999\) | −2.84848 | − | 4.29203i | −0.0901219 | − | 0.135794i |
(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 | 483.2.v.a.41.19 | ✓ | 600 | |
3.2 | odd | 2 | inner | 483.2.v.a.41.41 | yes | 600 | |
7.6 | odd | 2 | inner | 483.2.v.a.41.20 | yes | 600 | |
21.20 | even | 2 | inner | 483.2.v.a.41.42 | yes | 600 | |
23.9 | even | 11 | inner | 483.2.v.a.377.42 | yes | 600 | |
69.32 | odd | 22 | inner | 483.2.v.a.377.20 | yes | 600 | |
161.55 | odd | 22 | inner | 483.2.v.a.377.41 | yes | 600 | |
483.377 | even | 22 | inner | 483.2.v.a.377.19 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.v.a.41.19 | ✓ | 600 | 1.1 | even | 1 | trivial | |
483.2.v.a.41.20 | yes | 600 | 7.6 | odd | 2 | inner | |
483.2.v.a.41.41 | yes | 600 | 3.2 | odd | 2 | inner | |
483.2.v.a.41.42 | yes | 600 | 21.20 | even | 2 | inner | |
483.2.v.a.377.19 | yes | 600 | 483.377 | even | 22 | inner | |
483.2.v.a.377.20 | yes | 600 | 69.32 | odd | 22 | inner | |
483.2.v.a.377.41 | yes | 600 | 161.55 | odd | 22 | inner | |
483.2.v.a.377.42 | yes | 600 | 23.9 | even | 11 | inner |