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 | 41.20 | ||
Character | \(\chi\) | \(=\) | 483.41 |
Dual form | 483.2.v.a.377.20 |
$q$-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 | −0.970246 | − | 0.242119i | \(-0.922157\pi\) |
0.999158 | + | 0.0410382i | \(0.0130665\pi\) | |||||||
\(6\) | −1.93738 | + | 0.786663i | −0.790930 | + | 0.321154i | ||||
\(7\) | −1.17954 | + | 2.36827i | −0.445824 | + | 0.895121i | ||||
\(8\) | −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 | 0.0712647 | − | 0.997457i | \(-0.477296\pi\) |
−0.707160 | + | 0.707054i | \(0.750024\pi\) | |||||||
\(14\) | −2.34206 | − | 2.17179i | −0.625943 | − | 0.580435i | ||||
\(15\) | 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 | −0.464693 | − | 0.885472i | \(-0.653835\pi\) |
0.612413 | + | 0.790538i | \(0.290199\pi\) | |||||||
\(18\) | −3.15412 | − | 1.77998i | −0.743433 | − | 0.419545i | ||||
\(19\) | 0.242754 | − | 0.377732i | 0.0556915 | − | 0.0866577i | −0.812291 | − | 0.583252i | \(-0.801780\pi\) |
0.867983 | + | 0.496594i | \(0.165416\pi\) | |||||||
\(20\) | 0.161403 | − | 0.186269i | 0.0360908 | − | 0.0416510i | ||||
\(21\) | −4.48265 | + | 0.951753i | −0.978195 | + | 0.207690i | ||||
\(22\) | 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 | ||||
\(28\) | −1.23311 | + | 0.734982i | −0.233035 | + | 0.138899i | ||||
\(29\) | 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 | −0.140174 | − | 0.990127i | \(-0.544766\pi\) |
0.960100 | + | 0.279657i | \(0.0902207\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | 0.988592 | + | 0.683459i | 0.167103 | + | 0.115526i | ||||
\(36\) | −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 | \(-0.863350\pi\) |
0.989693 | − | 0.143206i | \(-0.0457412\pi\) | |||||||
\(42\) | 0.422181 | − | 5.51612i | 0.0651439 | − | 0.851156i | ||||
\(43\) | 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 | \(-0.483746\pi\) | ||||
0.0510428 | + | 0.998696i | \(0.483746\pi\) | |||||||
\(48\) | 2.05995 | − | 4.04436i | 0.297328 | − | 0.583753i | ||||
\(49\) | −4.21738 | − | 5.58692i | −0.602483 | − | 0.798132i | ||||
\(50\) | −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 | ||||
\(56\) | −2.02418 | − | 7.86482i | −0.270492 | − | 1.05098i | ||||
\(57\) | 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 | \(0.354057\pi\) |
−0.967536 | + | 0.252734i | \(0.918670\pi\) | |||||||
\(60\) | 0.426509 | + | 0.0182195i | 0.0550620 | + | 0.00235212i | ||||
\(61\) | 7.51110 | − | 6.50840i | 0.961697 | − | 0.833315i | −0.0243632 | − | 0.999703i | \(-0.507756\pi\) |
0.986060 | + | 0.166388i | \(0.0532104\pi\) | |||||||
\(62\) | 3.02937 | + | 6.63339i | 0.384730 | + | 0.842442i | ||||
\(63\) | −6.12017 | − | 5.05405i | −0.771069 | − | 0.636751i | ||||
\(64\) | 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 | −0.993200 | − | 0.116424i | \(-0.962857\pi\) |
0.518493 | + | 0.855082i | \(0.326493\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | 6.11678 | + | 1.09093i | 0.697071 | + | 0.124323i | ||||
\(78\) | 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 | \(0.213020\pi\) |
−0.577756 | + | 0.816210i | \(0.696071\pi\) | |||||||
\(84\) | −2.32528 | − | 0.880520i | −0.253709 | − | 0.0960726i | ||||
\(85\) | −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 | \(-0.442115\pi\) |
0.947762 | − | 0.318978i | \(-0.103340\pi\) | |||||||
\(90\) | −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 | 0.0137438 | − | 0.999906i | \(-0.495625\pi\) |
−0.268519 | + | 0.963274i | \(0.586534\pi\) | |||||||
\(98\) | 7.90594 | − | 2.98492i | 0.798620 | − | 0.301523i | ||||
\(99\) | 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 | \(0.131183\pi\) |
−0.766307 | + | 0.642474i | \(0.777908\pi\) | |||||||
\(102\) | −0.872071 | + | 1.23746i | −0.0863479 | + | 0.122527i | ||||
\(103\) | 2.67114 | + | 9.09706i | 0.263195 | + | 0.896360i | 0.979985 | + | 0.199071i | \(0.0637923\pi\) |
−0.716790 | + | 0.697289i | \(0.754389\pi\) | |||||||
\(104\) | 7.42335 | − | 2.17969i | 0.727919 | − | 0.213736i | ||||
\(105\) | 0.138147 | + | 2.07707i | 0.0134818 | + | 0.202701i | ||||
\(106\) | 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 | ||||
\(112\) | 6.92912 | + | 0.233566i | 0.654740 | + | 0.0220699i | ||||
\(113\) | 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 | ||||
\(119\) | 0.208577 | + | 1.90413i | 0.0191202 | + | 0.174551i | ||||
\(120\) | −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 | ||||
\(126\) | 7.93587 | − | 5.37024i | 0.706983 | − | 0.478419i | ||||
\(127\) | −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 | \(-0.956325\pi\) |
0.545335 | − | 0.838218i | \(-0.316402\pi\) | |||||||
\(132\) | 2.04484 | − | 0.830296i | 0.177980 | − | 0.0722680i | ||||
\(133\) | 0.608233 | + | 1.02046i | 0.0527405 | + | 0.0884847i | ||||
\(134\) | 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 | \(0.140220\pi\) | ||||
−0.904533 | + | 0.426403i | \(0.859780\pi\) | |||||||
\(140\) | 0.250754 | + | 0.601957i | 0.0211926 | + | 0.0508747i | ||||
\(141\) | 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 | ||||
\(147\) | 3.03345 | − | 11.7387i | 0.250195 | − | 0.968195i | ||||
\(148\) | 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 | ||||
\(154\) | −3.34409 | + | 6.71423i | −0.269474 | + | 0.541048i | ||||
\(155\) | −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 | −0.878733 | − | 0.477313i | \(-0.841611\pi\) |
0.799218 | + | 0.601041i | \(0.205247\pi\) | |||||||
\(158\) | 3.82505 | + | 3.31442i | 0.304304 | + | 0.263681i | ||||
\(159\) | 6.31467 | + | 3.21631i | 0.500786 | + | 0.255070i | ||||
\(160\) | 1.35163i | 0.106856i | ||||||||
\(161\) | −12.6111 | − | 1.39962i | −0.993898 | − | 0.110306i | ||||
\(162\) | 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 | −0.964684 | − | 0.263412i | \(-0.915152\pi\) |
−0.161136 | + | 0.986932i | \(0.551516\pi\) | |||||||
\(168\) | 8.48561 | − | 11.2184i | 0.654679 | − | 0.865518i | ||||
\(169\) | −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 | 0.389148 | − | 0.921175i | \(-0.372769\pi\) |
0.825397 | + | 0.564552i | \(0.190951\pi\) | |||||||
\(174\) | −14.8775 | − | 10.4846i | −1.12786 | − | 0.794833i | ||||
\(175\) | −8.62367 | + | 9.29979i | −0.651888 | + | 0.702998i | ||||
\(176\) | −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 | 0.999225 | − | 0.0393606i | \(-0.0125321\pi\) |
0.103245 | + | 0.994656i | \(0.467078\pi\) | |||||||
\(182\) | 3.09577 | + | 7.43167i | 0.229474 | + | 0.550872i | ||||
\(183\) | 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 | ||||
\(189\) | 0.260789 | − | 13.7453i | 0.0189696 | − | 0.999820i | ||||
\(190\) | 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 | ||||
\(196\) | −0.286138 | − | 3.78727i | −0.0204384 | − | 0.270519i | ||||
\(197\) | −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 | 0.126769 | − | 0.991932i | \(-0.459539\pi\) |
0.999877 | + | 0.0156876i | \(0.00499372\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | −22.8926 | + | 2.50764i | −1.60675 | + | 0.176002i | ||||
\(204\) | 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 | ||||
\(210\) | −2.45293 | − | 0.546427i | −0.169268 | − | 0.0377070i | ||||
\(211\) | −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 | ||||
\(217\) | 3.98345 | + | 15.4774i | 0.270414 | + | 1.05068i | ||||
\(218\) | −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 | 0.0820778 | − | 0.996626i | \(-0.473844\pi\) |
0.806949 | + | 0.590621i | \(0.201117\pi\) | |||||||
\(224\) | 2.47112 | − | 7.47452i | 0.165109 | − | 0.499412i | ||||
\(225\) | −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 | \(0.494767\pi\) |
−0.992027 | + | 0.126024i | \(0.959778\pi\) | |||||||
\(228\) | 0.376006 | + | 0.191515i | 0.0249016 | + | 0.0126834i | ||||
\(229\) | − | 7.96123i | − | 0.526093i | −0.964783 | − | 0.263046i | \(-0.915273\pi\) | ||
0.964783 | − | 0.263046i | \(-0.0847272\pi\) | |||||||
\(230\) | −0.201878 | + | 2.62224i | −0.0133114 | + | 0.172905i | ||||
\(231\) | 5.11039 | + | 9.47097i | 0.336239 | + | 0.623144i | ||||
\(232\) | −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 | ||||
\(238\) | −2.27656 | − | 0.406025i | −0.147567 | − | 0.0263187i | ||||
\(239\) | −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 | \(-0.826685\pi\) |
0.439564 | − | 0.898211i | \(-0.355133\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | −2.78470 | + | 1.53508i | −0.177908 | + | 0.0980730i | ||||
\(246\) | 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 | −0.403191 | − | 0.915116i | \(-0.632099\pi\) |
−0.833935 | + | 0.551863i | \(0.813917\pi\) | |||||||
\(252\) | −1.31098 | − | 4.10221i | −0.0825837 | − | 0.258415i | ||||
\(253\) | 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 | 0.452498 | − | 0.891765i | \(-0.350533\pi\) |
−0.623204 | + | 0.782060i | \(0.714169\pi\) | |||||||
\(258\) | −0.646553 | + | 1.89819i | −0.0402527 | + | 0.118176i | ||||
\(259\) | 2.49032 | + | 0.823316i | 0.154741 | + | 0.0511583i | ||||
\(260\) | −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 | ||||
\(266\) | −1.38890 | + | 0.357463i | −0.0851589 | + | 0.0219175i | ||||
\(267\) | 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 | \(-0.828979\pi\) |
0.175803 | − | 0.984425i | \(-0.443748\pi\) | |||||||
\(270\) | −2.84922 | + | 0.0419562i | −0.173398 | + | 0.00255337i | ||||
\(271\) | −9.22228 | − | 1.32596i | −0.560213 | − | 0.0805465i | −0.143609 | − | 0.989634i | \(-0.545871\pi\) |
−0.416604 | + | 0.909088i | \(0.636780\pi\) | |||||||
\(272\) | −1.59602 | − | 1.02570i | −0.0967732 | − | 0.0621923i | ||||
\(273\) | 11.2742 | + | 2.51149i | 0.682343 | + | 0.152002i | ||||
\(274\) | 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 | ||||
\(280\) | −3.66712 | + | 0.401695i | −0.219152 | + | 0.0240059i | ||||
\(281\) | −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 | \(0.740676\pi\) |
−0.999114 | + | 0.0420943i | \(0.986597\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | 7.87602 | + | 5.44505i | 0.464907 | + | 0.321411i | ||||
\(288\) | 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 | −0.273363 | − | 0.961911i | \(-0.588136\pi\) |
0.761426 | + | 0.648252i | \(0.224500\pi\) | |||||||
\(294\) | 12.5657 | + | 7.50631i | 0.732845 | + | 0.437777i | ||||
\(295\) | 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 | ||||
\(301\) | 0.975677 | + | 2.34220i | 0.0562371 | + | 0.135002i | ||||
\(302\) | −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 | −0.00929072 | − | 0.999957i | \(-0.502957\pi\) |
0.988457 | + | 0.151505i | \(0.0484119\pi\) | |||||||
\(308\) | 2.47197 | + | 2.29225i | 0.140854 | + | 0.130613i | ||||
\(309\) | −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 | −0.0657462 | − | 0.997836i | \(-0.520943\pi\) |
0.484162 | + | 0.874978i | \(0.339125\pi\) | |||||||
\(312\) | 10.9537 | + | 7.71935i | 0.620131 | + | 0.437022i | ||||
\(313\) | −31.3105 | + | 4.50177i | −1.76977 | + | 0.254455i | −0.948658 | − | 0.316304i | \(-0.897558\pi\) |
−0.821117 | + | 0.570760i | \(0.806649\pi\) | |||||||
\(314\) | −1.45691 | − | 1.68136i | −0.0822181 | − | 0.0948848i | ||||
\(315\) | −2.66811 | + | 2.42509i | −0.150331 | + | 0.136638i | ||||
\(316\) | 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 | ||||
\(322\) | 5.91051 | − | 14.1319i | 0.329380 | − | 0.787540i | ||||
\(323\) | − | 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 | ||||
\(329\) | −0.825516 | + | 1.65746i | −0.0455122 | + | 0.0913790i | ||||
\(330\) | 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 | ||||
\(336\) | 7.14833 | + | 9.64899i | 0.389974 | + | 0.526395i | ||||
\(337\) | −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 | ||||
\(343\) | 18.2059 | − | 3.39789i | 0.983026 | − | 0.183469i | ||||
\(344\) | 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 | −0.917509 | − | 0.397715i | \(-0.869803\pi\) |
0.742921 | + | 0.669379i | \(0.233440\pi\) | |||||||
\(350\) | −7.83921 | − | 13.1521i | −0.419023 | − | 0.703011i | ||||
\(351\) | 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 | 0.152054 | − | 0.988372i | \(-0.451411\pi\) |
−0.999952 | + | 0.00984634i | \(0.996866\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −2.35769 | + | 2.33429i | −0.124782 | + | 0.123544i | ||||
\(358\) | −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 | ||||
\(364\) | 3.59678 | − | 0.393990i | 0.188523 | − | 0.0206507i | ||||
\(365\) | 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 | \(0.0719390\pi\) | ||||
−0.974570 | + | 0.224084i | \(0.928061\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | −0.364679 | + | 10.8188i | −0.0189332 | + | 0.561684i | ||||
\(372\) | 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 | ||||
\(378\) | 15.8329 | + | 4.97709i | 0.814357 | + | 0.255994i | ||||
\(379\) | 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 | 0.977688 | − | 0.210061i | \(-0.0673663\pi\) |
−0.347062 | + | 0.937842i | \(0.612821\pi\) | |||||||
\(384\) | 1.96327 | + | 7.92276i | 0.100187 | + | 0.404307i | ||||
\(385\) | 0.885948 | − | 2.67977i | 0.0451521 | − | 0.136574i | ||||
\(386\) | 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 | 0.979880 | − | 0.199589i | \(-0.0639606\pi\) |
−0.588609 | + | 0.808418i | \(0.700324\pi\) | |||||||
\(398\) | 10.5466 | + | 23.0937i | 0.528651 | + | 1.15758i | ||||
\(399\) | −0.728672 | + | 1.92428i | −0.0364792 | + | 0.0963346i | ||||
\(400\) | −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 | ||||
\(406\) | 4.88149 | − | 27.3702i | 0.242264 | − | 1.35836i | ||||
\(407\) | −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 | 0.211354 | − | 0.977410i | \(-0.432213\pi\) |
−0.0725751 | + | 0.997363i | \(0.523122\pi\) | |||||||
\(410\) | 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 | \(0.336113\pi\) |
−0.717680 | + | 0.696373i | \(0.754796\pi\) | |||||||
\(420\) | −0.546232 | + | 0.988596i | −0.0266534 | + | 0.0482385i | ||||
\(421\) | 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 | ||||
\(427\) | 6.55401 | + | 25.4652i | 0.317171 | + | 1.23235i | ||||
\(428\) | 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 | −0.827201 | − | 0.561906i | \(-0.810068\pi\) |
0.854760 | + | 0.519024i | \(0.173705\pi\) | |||||||
\(434\) | −19.2829 | − | 0.649986i | −0.925609 | − | 0.0312003i | ||||
\(435\) | 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 | −0.976786 | − | 0.214219i | \(-0.931279\pi\) |
0.937540 | + | 0.347878i | \(0.113098\pi\) | |||||||
\(440\) | 2.14431 | − | 2.47467i | 0.102226 | − | 0.117975i | ||||
\(441\) | 19.1883 | − | 8.53276i | 0.913730 | − | 0.406322i | ||||
\(442\) | 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 | ||||
\(448\) | 19.2233 | + | 13.2899i | 0.908213 | + | 0.627889i | ||||
\(449\) | −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 | ||||
\(455\) | −1.55097 | − | 2.60212i | −0.0727106 | − | 0.121989i | ||||
\(456\) | −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 | \(-0.660048\pi\) | ||||
−0.481887 | + | 0.876233i | \(0.660048\pi\) | |||||||
\(462\) | −12.7087 | + | 2.69830i | −0.591262 | + | 0.125536i | ||||
\(463\) | −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 | 0.990347 | − | 0.138610i | \(-0.0442634\pi\) |
−0.753294 | + | 0.657684i | \(0.771536\pi\) | |||||||
\(468\) | 3.86375 | − | 1.37988i | 0.178602 | − | 0.0637848i | ||||
\(469\) | 0.882780 | − | 0.951993i | 0.0407630 | − | 0.0439589i | ||||
\(470\) | 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 | ||||
\(476\) | −0.463354 | + | 0.930318i | −0.0212378 | + | 0.0426411i | ||||
\(477\) | 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 | 0.991697 | − | 0.128593i | \(-0.0410460\pi\) |
0.294994 | + | 0.955499i | \(0.404682\pi\) | |||||||
\(480\) | −1.83310 | + | 1.45618i | −0.0836691 | + | 0.0664653i | ||||
\(481\) | −0.703978 | + | 2.39753i | −0.0320986 | + | 0.109318i | ||||
\(482\) | 27.6618 | 1.25996 | ||||||||
\(483\) | −11.6885 | − | 18.6113i | −0.531844 | − | 0.846843i | ||||
\(484\) | 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 | ||||
\(490\) | −0.831018 | − | 3.74772i | −0.0375416 | − | 0.169305i | ||||
\(491\) | −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 | ||||
\(497\) | 1.04682 | + | 0.970709i | 0.0469561 | + | 0.0435422i | ||||
\(498\) | −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 | −0.596708 | − | 0.802458i | \(-0.703525\pi\) |
0.879211 | + | 0.476433i | \(0.158071\pi\) | |||||||
\(504\) | 24.3565 | − | 0.577870i | 1.08493 | − | 0.0257404i | ||||
\(505\) | 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 | −0.823860 | − | 0.566794i | \(-0.808184\pi\) |
0.678272 | + | 0.734811i | \(0.262729\pi\) | |||||||
\(510\) | 0.500024 | + | 0.472108i | 0.0221414 | + | 0.0209053i | ||||
\(511\) | −10.1623 | − | 17.0496i | −0.449552 | − | 0.754230i | ||||
\(512\) | 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 | ||||
\(518\) | −1.80068 | + | 2.60460i | −0.0791172 | + | 0.114440i | ||||
\(519\) | 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 | 0.167378 | − | 0.985893i | \(-0.446470\pi\) |
−0.999678 | + | 0.0253672i | \(0.991924\pi\) | |||||||
\(522\) | −1.80903 | − | 31.4727i | −0.0791790 | − | 1.37752i | ||||
\(523\) | −14.6630 | − | 22.8161i | −0.641170 | − | 0.997680i | −0.997982 | − | 0.0635039i | \(-0.979772\pi\) |
0.356811 | − | 0.934176i | \(-0.383864\pi\) | |||||||
\(524\) | 0.947300 | − | 6.58861i | 0.0413830 | − | 0.287825i | ||||
\(525\) | −21.9032 | − | 1.67638i | −0.955935 | − | 0.0731632i | ||||
\(526\) | 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 | ||||
\(532\) | −0.0217147 | + | 0.644204i | −0.000941454 | + | 0.0279298i | ||||
\(533\) | −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 | ||||
\(539\) | −9.79859 | + | 13.1994i | −0.422055 | + | 0.568537i | ||||
\(540\) | −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 | ||||
\(546\) | −6.74369 | + | 12.2050i | −0.288603 | + | 0.522328i | ||||
\(547\) | −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 | ||||
\(560\) | 0.552966 | − | 3.10045i | 0.0233671 | − | 0.131018i | ||||
\(561\) | 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 | 0.522549 | − | 0.852609i | \(-0.324981\pi\) |
0.900552 | + | 0.434749i | \(0.143163\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 18.9224 | − | 14.4548i | 0.794668 | − | 0.607044i | ||||
\(568\) | 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 | −0.992528 | − | 0.122014i | \(-0.961065\pi\) |
0.900934 | + | 0.433957i | \(0.142883\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | −33.2153 | − | 10.9812i | −1.37800 | − | 0.455576i | ||||
\(582\) | 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 | −0.450695 | − | 0.892678i | \(-0.648824\pi\) |
0.103470 | + | 0.994633i | \(0.467005\pi\) | |||||||
\(588\) | 4.82807 | − | 4.46828i | 0.199106 | − | 0.184269i | ||||
\(589\) | −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 | \(-0.668208\pi\) |
0.727068 | − | 0.686566i | \(-0.240883\pi\) | |||||||
\(594\) | −13.3087 | + | 6.31633i | −0.546063 | + | 0.259162i | ||||
\(595\) | 0.869639 | + | 0.0293137i | 0.0356517 | + | 0.00120174i | ||||
\(596\) | 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 | 0.988932 | − | 0.148367i | \(-0.0474017\pi\) |
−0.00611698 | + | 0.999981i | \(0.501947\pi\) | |||||||
\(602\) | −3.04490 | + | 0.333537i | −0.124101 | + | 0.0135939i | ||||
\(603\) | 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 | −0.234689 | − | 0.972070i | \(-0.575407\pi\) |
0.0486810 | + | 0.998814i | \(0.484498\pi\) | |||||||
\(608\) | −0.555006 | + | 1.21529i | −0.0225085 | + | 0.0492867i | ||||
\(609\) | −28.0643 | − | 28.3456i | −1.13722 | − | 1.14862i | ||||
\(610\) | 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 | ||||
\(616\) | −16.3824 | + | 9.76458i | −0.660065 | + | 0.393426i | ||||
\(617\) | 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 | −0.967738 | − | 0.251958i | \(-0.918926\pi\) |
0.950332 | + | 0.311238i | \(0.100744\pi\) | |||||||
\(620\) | − | 1.48881i | − | 0.0597922i | ||||||
\(621\) | −17.7839 | − | 17.4566i | −0.713644 | − | 0.700508i | ||||
\(622\) | 9.28408i | 0.372258i | ||||||||
\(623\) | 16.5415 | + | 39.7094i | 0.662722 | + | 1.59092i | ||||
\(624\) | −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 | ||||
\(630\) | −1.90159 | − | 3.91538i | −0.0757613 | − | 0.155993i | ||||
\(631\) | 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 | ||||
\(637\) | 3.81953 | + | 17.2253i | 0.151335 | + | 0.682491i | ||||
\(638\) | 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 | \(0.326864\pi\) | ||||
−0.517496 | + | 0.855685i | \(0.673136\pi\) | |||||||
\(644\) | −5.34576 | − | 4.33822i | −0.210652 | − | 0.170950i | ||||
\(645\) | 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 | \(-0.464608\pi\) |
0.967918 | − | 0.251265i | \(-0.0808465\pi\) | |||||||
\(648\) | 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 | ||||
\(651\) | −16.6991 | + | 22.0771i | −0.654490 | + | 0.865268i | ||||
\(652\) | 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 | ||||
\(658\) | −1.63913 | − | 1.51996i | −0.0638998 | − | 0.0592541i | ||||
\(659\) | −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 | 0.839628 | − | 0.543162i | \(-0.182773\pi\) |
−0.842872 | + | 0.538115i | \(0.819137\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | 0.498149 | − | 0.207511i | 0.0193174 | − | 0.00804693i | ||||
\(666\) | −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 | ||||
\(672\) | 12.7993 | − | 4.70132i | 0.493744 | − | 0.181357i | ||||
\(673\) | 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 | −0.963153 | − | 0.268952i | \(-0.913323\pi\) |
0.833992 | + | 0.551776i | \(0.186050\pi\) | |||||||
\(678\) | 1.71603 | + | 17.0845i | 0.0659036 | + | 0.656125i | ||||
\(679\) | 3.81416 | − | 5.51701i | 0.146374 | − | 0.211724i | ||||
\(680\) | 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 | ||||
\(686\) | −2.25625 | + | 22.2442i | −0.0861442 | + | 0.849287i | ||||
\(687\) | 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 | \(0.197074\pi\) | ||||
−0.814386 | + | 0.580324i | \(0.802926\pi\) | |||||||
\(692\) | 8.66764 | + | 2.54505i | 0.329494 | + | 0.0967482i | ||||
\(693\) | −7.33895 | + | 17.1343i | −0.278784 | + | 0.650880i | ||||
\(694\) | 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 | ||||
\(700\) | −6.66426 | + | 1.71519i | −0.251885 | + | 0.0648280i | ||||
\(701\) | 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 | ||||
\(707\) | −26.6026 | − | 8.79501i | −1.00050 | − | 0.330770i | ||||
\(708\) | −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 | ||||
\(714\) | −1.90200 | − | 3.52493i | −0.0711805 | − | 0.131917i | ||||
\(715\) | 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 | −0.397844 | − | 0.917453i | \(-0.630242\pi\) |
0.669274 | + | 0.743016i | \(0.266605\pi\) | |||||||
\(720\) | −0.204923 | − | 3.56517i | −0.00763704 | − | 0.132866i | ||||
\(721\) | −24.6950 | − | 4.40436i | −0.919689 | − | 0.164027i | ||||
\(722\) | −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 | −0.961828 | − | 0.273655i | \(-0.911767\pi\) |
−0.845770 | + | 0.533548i | \(0.820858\pi\) | |||||||
\(728\) | −3.59403 | + | 20.1515i | −0.133204 | + | 0.746865i | ||||
\(729\) | 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 | 0.816042 | − | 0.577993i | \(-0.196164\pi\) |
−0.455975 | + | 0.889993i | \(0.650709\pi\) | |||||||
\(734\) | −9.94507 | − | 2.92014i | −0.367079 | − | 0.107784i | ||||
\(735\) | −5.08200 | − | 2.12281i | −0.187452 | − | 0.0783011i | ||||
\(736\) | −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 | ||||
\(742\) | −12.4078 | − | 4.10209i | −0.455503 | − | 0.150592i | ||||
\(743\) | −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 | ||||
\(749\) | 10.8870 | + | 42.3009i | 0.397804 | + | 1.54564i | ||||
\(750\) | −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 | ||||
\(756\) | 4.15108 | − | 6.19748i | 0.150973 | − | 0.225400i | ||||
\(757\) | 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 | 0.471325 | − | 0.881960i | \(-0.343776\pi\) |
−0.0803200 | + | 0.996769i | \(0.525594\pi\) | |||||||
\(762\) | 23.4535 | − | 18.6310i | 0.849630 | − | 0.674932i | ||||
\(763\) | −1.85501 | − | 16.9346i | −0.0671560 | − | 0.613075i | ||||
\(764\) | 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 | 0.00214901 | − | 0.999998i | \(-0.499316\pi\) |
−0.754341 | + | 0.656483i | \(0.772043\pi\) | |||||||
\(770\) | 2.80274 | + | 1.93766i | 0.101004 | + | 0.0698285i | ||||
\(771\) | −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 | \(-0.982972\pi\) |
0.943056 | − | 0.332634i | \(-0.107938\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | 1.56636 | + | 4.26440i | 0.0561928 | + | 0.152985i | ||||
\(778\) | 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 | ||||
\(784\) | −8.72630 | + | 16.1345i | −0.311654 | + | 0.576232i | ||||
\(785\) | 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 | 0.476649 | − | 0.879093i | \(-0.341851\pi\) |
0.209673 | + | 0.977772i | \(0.432760\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | 15.9307 | + | 14.7725i | 0.566431 | + | 0.525250i | ||||
\(792\) | −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 | 0.806999 | − | 0.590553i | \(-0.201090\pi\) |
−0.699390 | + | 0.714740i | \(0.746545\pi\) | |||||||
\(798\) | −1.98113 | − | 1.49853i | −0.0701312 | − | 0.0530474i | ||||
\(799\) | 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 | ||||
\(805\) | −1.44459 | + | 5.57988i | −0.0509150 | + | 0.196665i | ||||
\(806\) | − | 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 | 0.990008 | − | 0.141012i | \(-0.0450358\pi\) |
−0.539534 | + | 0.841964i | \(0.681399\pi\) | |||||||
\(812\) | −11.1849 | − | 5.57073i | −0.392512 | − | 0.195494i | ||||
\(813\) | −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 | ||||
\(819\) | 8.74012 | + | 17.9959i | 0.305404 | + | 0.628828i | ||||
\(820\) | −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 | ||||
\(826\) | 28.6185 | − | 11.9214i | 0.995765 | − | 0.414800i | ||||
\(827\) | 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 | \(0.123290\pi\) | ||||
−0.925922 | + | 0.377716i | \(0.876710\pi\) | |||||||
\(830\) | −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 | ||||
\(833\) | −4.75551 | − | 1.75202i | −0.164769 | − | 0.0607041i | ||||
\(834\) | −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 | −0.174340 | − | 0.984686i | \(-0.555779\pi\) |
0.385697 | + | 0.922625i | \(0.373961\pi\) | |||||||
\(840\) | −4.49556 | − | 4.54063i | −0.155112 | − | 0.156667i | ||||
\(841\) | −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 | ||||
\(847\) | 1.58018 | + | 14.4256i | 0.0542955 | + | 0.495670i | ||||
\(848\) | −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 | \(-0.741821\pi\) |
0.971363 | − | 0.237600i | \(-0.0763609\pi\) | |||||||
\(854\) | −31.7264 | − | 1.06943i | −1.08565 | − | 0.0365951i | ||||
\(855\) | 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 | 0.298004 | − | 0.954565i | \(-0.403679\pi\) |
0.992098 | + | 0.125467i | \(0.0400428\pi\) | |||||||
\(858\) | −2.97700 | − | 12.0137i | −0.101633 | − | 0.410141i | ||||
\(859\) | 28.5987 | − | 24.7809i | 0.975774 | − | 0.845513i | −0.0122323 | − | 0.999925i | \(-0.503894\pi\) |
0.988007 | + | 0.154412i | \(0.0493483\pi\) | |||||||
\(860\) | −0.0336384 | − | 0.233960i | −0.00114706 | − | 0.00797797i | ||||
\(861\) | 1.10060 | + | 16.5478i | 0.0375085 | + | 0.563947i | ||||
\(862\) | 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 | ||||
\(868\) | −2.72193 | + | 8.23314i | −0.0923884 | + | 0.279451i | ||||
\(869\) | −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 | 0.871093 | − | 0.491119i | \(-0.163412\pi\) |
−0.941607 | + | 0.336713i | \(0.890685\pi\) | |||||||
\(882\) | 3.35750 | + | 25.1287i | 0.113053 | + | 0.846126i | ||||
\(883\) | −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 | \(0.460830\pi\) |
−0.830417 | + | 0.557142i | \(0.811898\pi\) | |||||||
\(888\) | −0.224942 | + | 5.26577i | −0.00754855 | + | 0.176708i | ||||
\(889\) | 6.65443 | − | 37.3110i | 0.223183 | − | 1.25137i | ||||
\(890\) | 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 | ||||
\(903\) | −2.12537 | + | 3.84660i | −0.0707280 | + | 0.128007i | ||||
\(904\) | 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 | ||||
\(910\) | 3.54164 | − | 0.911516i | 0.117404 | − | 0.0302165i | ||||
\(911\) | −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 | ||||
\(917\) | 32.4396 | + | 1.09347i | 1.07125 | + | 0.0361096i | ||||
\(918\) | −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 | ||||
\(924\) | −0.445598 | + | 5.82208i | −0.0146591 | + | 0.191532i | ||||
\(925\) | 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 | 0.968621 | − | 0.248542i | \(-0.0799514\pi\) |
−0.999408 | + | 0.0344177i | \(0.989042\pi\) | |||||||
\(930\) | 4.68999 | + | 3.30515i | 0.153791 | + | 0.108380i | ||||
\(931\) | −3.13414 | + | 0.236793i | −0.102717 | + | 0.00776057i | ||||
\(932\) | 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 | \(-0.858610\pi\) |
−0.0157892 | − | 0.999875i | \(-0.505026\pi\) | |||||||
\(938\) | 0.802477 | + | 1.34635i | 0.0262018 | + | 0.0439597i | ||||
\(939\) | −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 | −0.155505 | − | 0.987835i | \(-0.549701\pi\) |
−0.664883 | + | 0.746947i | \(0.731519\pi\) | |||||||
\(942\) | 0.710681 | − | 3.78730i | 0.0231552 | − | 0.123397i | ||||
\(943\) | 16.9793 | − | 3.59707i | 0.552922 | − | 0.117137i | ||||
\(944\) | 25.4347 | 0.827830 | ||||||||
\(945\) | −6.16343 | − | 1.00585i | −0.200496 | − | 0.0327203i | ||||
\(946\) | 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 | ||||
\(952\) | −4.31132 | − | 3.99788i | −0.139731 | − | 0.129572i | ||||
\(953\) | 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 | ||||
\(959\) | 29.6711 | + | 14.7780i | 0.958129 | + | 0.477205i | ||||
\(960\) | −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 | ||||||||
\(966\) | 25.5336 | − | 7.20913i | 0.821529 | − | 0.231950i | ||||
\(967\) | −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 | \(-0.716062\pi\) |
0.821695 | − | 0.569927i | \(-0.193029\pi\) | |||||||
\(972\) | 2.94989 | − | 7.92689i | 0.0946178 | − | 0.254255i | ||||
\(973\) | −23.8116 | − | 11.8596i | −0.763365 | − | 0.380201i | ||||
\(974\) | 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 | ||||
\(980\) | −1.72137 | − | 0.116180i | −0.0549871 | − | 0.00371122i | ||||
\(981\) | −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 | −0.00506039 | − | 0.999987i | \(-0.501611\pi\) |
0.907518 | + | 0.420013i | \(0.137974\pi\) | |||||||
\(984\) | −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 | ||||
\(987\) | −3.13725 | + | 0.666098i | −0.0998596 | + | 0.0212021i | ||||
\(988\) | −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 | ||||
\(994\) | −1.48045 | + | 0.882407i | −0.0469569 | + | 0.0279883i | ||||
\(995\) | −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 | −0.981632 | − | 0.190784i | \(-0.938897\pi\) |
0.0491410 | + | 0.998792i | \(0.484352\pi\) | |||||||
\(998\) | 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.41.20 | yes | 600 | |
3.2 | odd | 2 | inner | 483.2.v.a.41.42 | yes | 600 | |
7.6 | odd | 2 | inner | 483.2.v.a.41.19 | ✓ | 600 | |
21.20 | even | 2 | inner | 483.2.v.a.41.41 | yes | 600 | |
23.9 | even | 11 | inner | 483.2.v.a.377.41 | yes | 600 | |
69.32 | odd | 22 | inner | 483.2.v.a.377.19 | yes | 600 | |
161.55 | odd | 22 | inner | 483.2.v.a.377.42 | yes | 600 | |
483.377 | even | 22 | inner | 483.2.v.a.377.20 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.v.a.41.19 | ✓ | 600 | 7.6 | odd | 2 | inner | |
483.2.v.a.41.20 | yes | 600 | 1.1 | even | 1 | trivial | |
483.2.v.a.41.41 | yes | 600 | 21.20 | even | 2 | inner | |
483.2.v.a.41.42 | yes | 600 | 3.2 | odd | 2 | inner | |
483.2.v.a.377.19 | yes | 600 | 69.32 | odd | 22 | inner | |
483.2.v.a.377.20 | yes | 600 | 483.377 | even | 22 | inner | |
483.2.v.a.377.41 | yes | 600 | 23.9 | even | 11 | inner | |
483.2.v.a.377.42 | yes | 600 | 161.55 | odd | 22 | inner |