Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.20 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.20 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | 1.72849 | − | 0.958117i | 0.997944 | − | 0.553169i | 0.100799 | − | 0.994907i | \(-0.467860\pi\) |
0.897144 | + | 0.441738i | \(0.145638\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 1.89512 | − | 1.18681i | 0.847523 | − | 0.530758i | ||||
\(6\) | −1.89972 | + | 0.544735i | −0.775556 | + | 0.222387i | ||||
\(7\) | 0.768108 | + | 0.205814i | 0.290318 | + | 0.0777904i | 0.401039 | − | 0.916061i | \(-0.368649\pi\) |
−0.110721 | + | 0.993852i | \(0.535316\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | 0.479928 | − | 0.768045i | 0.159976 | − | 0.256015i | ||||
\(10\) | −2.11352 | + | 0.730084i | −0.668354 | + | 0.230873i | ||||
\(11\) | 1.15807 | + | 1.28617i | 0.349172 | + | 0.387795i | 0.891990 | − | 0.452056i | \(-0.149309\pi\) |
−0.542818 | + | 0.839851i | \(0.682643\pi\) | |||||||
\(12\) | 1.97357 | − | 0.103430i | 0.569720 | − | 0.0298577i | ||||
\(13\) | −2.00062 | − | 2.14541i | −0.554873 | − | 0.595028i | 0.390668 | − | 0.920532i | \(-0.372244\pi\) |
−0.945541 | + | 0.325503i | \(0.894466\pi\) | |||||||
\(14\) | −0.702124 | − | 0.373326i | −0.187650 | − | 0.0997755i | ||||
\(15\) | 2.13859 | − | 3.86714i | 0.552181 | − | 0.998490i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | 0.588443 | − | 0.511526i | 0.142718 | − | 0.124063i | −0.581761 | − | 0.813360i | \(-0.697636\pi\) |
0.724479 | + | 0.689297i | \(0.242080\pi\) | |||||||
\(18\) | −0.640400 | + | 0.640400i | −0.150944 | + | 0.150944i | ||||
\(19\) | 4.31717 | − | 0.601682i | 0.990427 | − | 0.138035i | ||||
\(20\) | 2.22359 | − | 0.235933i | 0.497209 | − | 0.0527562i | ||||
\(21\) | 1.52486 | − | 0.380191i | 0.332752 | − | 0.0829644i | ||||
\(22\) | −0.839066 | − | 1.51372i | −0.178890 | − | 0.322725i | ||||
\(23\) | −2.50276 | − | 3.32128i | −0.521862 | − | 0.692534i | 0.458734 | − | 0.888574i | \(-0.348303\pi\) |
−0.980596 | + | 0.196039i | \(0.937192\pi\) | |||||||
\(24\) | −1.94625 | − | 0.343177i | −0.397277 | − | 0.0700506i | ||||
\(25\) | 2.18296 | − | 4.49830i | 0.436592 | − | 0.899660i | ||||
\(26\) | 1.46674 | + | 2.54046i | 0.287651 | + | 0.498225i | ||||
\(27\) | −0.216618 | + | 4.13331i | −0.0416881 | + | 0.795457i | ||||
\(28\) | 0.600148 | + | 0.521701i | 0.113417 | + | 0.0985922i | ||||
\(29\) | 6.21790 | − | 0.434798i | 1.15464 | − | 0.0807400i | 0.520430 | − | 0.853904i | \(-0.325772\pi\) |
0.634206 | + | 0.773164i | \(0.281327\pi\) | |||||||
\(30\) | −2.95369 | + | 3.28694i | −0.539268 | + | 0.600111i | ||||
\(31\) | 3.73502 | − | 8.38898i | 0.670829 | − | 1.50671i | −0.181330 | − | 0.983422i | \(-0.558040\pi\) |
0.852159 | − | 0.523283i | \(-0.175293\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 3.23402 | + | 1.11356i | 0.562970 | + | 0.193846i | ||||
\(34\) | −0.688429 | + | 0.366044i | −0.118065 | + | 0.0627761i | ||||
\(35\) | 1.69992 | − | 0.521558i | 0.287339 | − | 0.0881593i | ||||
\(36\) | 0.768045 | − | 0.479928i | 0.128008 | − | 0.0799880i | ||||
\(37\) | −4.57396 | + | 8.97690i | −0.751955 | + | 1.47579i | 0.123423 | + | 0.992354i | \(0.460613\pi\) |
−0.875378 | + | 0.483440i | \(0.839387\pi\) | |||||||
\(38\) | −4.34187 | − | 0.384892i | −0.704345 | − | 0.0624377i | ||||
\(39\) | −5.51360 | − | 1.79148i | −0.882883 | − | 0.286866i | ||||
\(40\) | −2.21967 | − | 0.270312i | −0.350961 | − | 0.0427401i | ||||
\(41\) | −0.971926 | + | 0.759352i | −0.151789 | + | 0.118591i | −0.688694 | − | 0.725052i | \(-0.741816\pi\) |
0.536905 | + | 0.843643i | \(0.319593\pi\) | |||||||
\(42\) | −1.57130 | + | 0.0274272i | −0.242457 | + | 0.00423211i | ||||
\(43\) | −4.03191 | + | 2.82317i | −0.614860 | + | 0.430530i | −0.839079 | − | 0.544009i | \(-0.816906\pi\) |
0.224219 | + | 0.974539i | \(0.428017\pi\) | |||||||
\(44\) | 0.477049 | + | 1.66367i | 0.0719179 | + | 0.250807i | ||||
\(45\) | −0.00200383 | − | 2.02512i | −0.000298713 | − | 0.301887i | ||||
\(46\) | 1.69149 | + | 3.79915i | 0.249397 | + | 0.560154i | ||||
\(47\) | 8.83814 | − | 10.1671i | 1.28918 | − | 1.48303i | 0.504073 | − | 0.863661i | \(-0.331834\pi\) |
0.785103 | − | 0.619366i | \(-0.212610\pi\) | |||||||
\(48\) | 1.81917 | + | 0.772192i | 0.262575 | + | 0.111456i | ||||
\(49\) | −5.51455 | − | 3.18382i | −0.787792 | − | 0.454832i | ||||
\(50\) | −3.13891 | + | 3.89195i | −0.443908 | + | 0.550405i | ||||
\(51\) | 0.527016 | − | 1.44796i | 0.0737969 | − | 0.202755i | ||||
\(52\) | −0.857664 | − | 2.80529i | −0.118937 | − | 0.389024i | ||||
\(53\) | 0.685076 | + | 1.98961i | 0.0941025 | + | 0.273293i | 0.982644 | − | 0.185504i | \(-0.0593916\pi\) |
−0.888541 | + | 0.458797i | \(0.848281\pi\) | |||||||
\(54\) | 1.14086 | − | 3.97865i | 0.155251 | − | 0.541426i | ||||
\(55\) | 3.72113 | + | 1.06303i | 0.501757 | + | 0.143339i | ||||
\(56\) | −0.467409 | − | 0.643334i | −0.0624602 | − | 0.0859691i | ||||
\(57\) | 6.88570 | − | 5.17636i | 0.912034 | − | 0.685625i | ||||
\(58\) | −6.15635 | − | 0.975070i | −0.808368 | − | 0.128033i | ||||
\(59\) | −5.28809 | + | 13.0885i | −0.688450 | + | 1.70397i | 0.0215444 | + | 0.999768i | \(0.493142\pi\) |
−0.709995 | + | 0.704207i | \(0.751303\pi\) | |||||||
\(60\) | 3.61739 | − | 2.53826i | 0.467003 | − | 0.327688i | ||||
\(61\) | 7.07363 | + | 0.994134i | 0.905685 | + | 0.127286i | 0.576612 | − | 0.817018i | \(-0.304375\pi\) |
0.329074 | + | 0.944304i | \(0.393264\pi\) | |||||||
\(62\) | −5.52640 | + | 7.33378i | −0.701853 | + | 0.931391i | ||||
\(63\) | 0.526711 | − | 0.491166i | 0.0663594 | − | 0.0618811i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | −6.33761 | − | 1.69144i | −0.786084 | − | 0.209797i | ||||
\(66\) | −2.90063 | − | 1.81252i | −0.357043 | − | 0.223105i | ||||
\(67\) | −5.88015 | + | 3.53315i | −0.718374 | + | 0.431643i | −0.826825 | − | 0.562459i | \(-0.809855\pi\) |
0.108451 | + | 0.994102i | \(0.465411\pi\) | |||||||
\(68\) | 0.753127 | − | 0.201800i | 0.0913301 | − | 0.0244718i | ||||
\(69\) | −7.50817 | − | 3.34285i | −0.903877 | − | 0.402432i | ||||
\(70\) | −1.77368 | + | 0.125791i | −0.211995 | + | 0.0150349i | ||||
\(71\) | 3.20632 | + | 3.32024i | 0.380521 | + | 0.394041i | 0.882093 | − | 0.471075i | \(-0.156134\pi\) |
−0.501573 | + | 0.865116i | \(0.667245\pi\) | |||||||
\(72\) | −0.856321 | + | 0.294855i | −0.100918 | + | 0.0347490i | ||||
\(73\) | −4.05513 | + | 4.34860i | −0.474617 | + | 0.508965i | −0.922959 | − | 0.384897i | \(-0.874237\pi\) |
0.448342 | + | 0.893862i | \(0.352015\pi\) | |||||||
\(74\) | 6.47610 | − | 7.71791i | 0.752831 | − | 0.897189i | ||||
\(75\) | −0.536678 | − | 9.86679i | −0.0619703 | − | 1.13932i | ||||
\(76\) | 4.14401 | + | 1.35174i | 0.475350 | + | 0.155055i | ||||
\(77\) | 0.624814 | + | 1.22627i | 0.0712041 | + | 0.139746i | ||||
\(78\) | 4.96929 | + | 2.98585i | 0.562662 | + | 0.338081i | ||||
\(79\) | −13.0617 | − | 3.74539i | −1.46956 | − | 0.421390i | −0.557062 | − | 0.830471i | \(-0.688072\pi\) |
−0.912498 | + | 0.409081i | \(0.865849\pi\) | |||||||
\(80\) | 2.10197 | + | 0.762701i | 0.235008 | + | 0.0852725i | ||||
\(81\) | 4.77683 | + | 9.79395i | 0.530758 | + | 1.08822i | ||||
\(82\) | 1.11783 | − | 0.521254i | 0.123444 | − | 0.0575629i | ||||
\(83\) | −2.02180 | − | 5.26698i | −0.221922 | − | 0.578126i | 0.776741 | − | 0.629820i | \(-0.216871\pi\) |
−0.998663 | + | 0.0516940i | \(0.983538\pi\) | |||||||
\(84\) | 1.53720 | + | 0.326742i | 0.167722 | + | 0.0356505i | ||||
\(85\) | 0.508085 | − | 1.66777i | 0.0551096 | − | 0.180895i | ||||
\(86\) | 4.56364 | − | 1.84383i | 0.492110 | − | 0.198825i | ||||
\(87\) | 10.3310 | − | 6.70902i | 1.10760 | − | 0.719283i | ||||
\(88\) | −0.0905785 | − | 1.72834i | −0.00965570 | − | 0.184242i | ||||
\(89\) | −2.56120 | + | 3.27818i | −0.271486 | + | 0.347487i | −0.904362 | − | 0.426767i | \(-0.859652\pi\) |
0.632875 | + | 0.774254i | \(0.281875\pi\) | |||||||
\(90\) | −0.453601 | + | 1.97367i | −0.0478137 | + | 0.208043i | ||||
\(91\) | −1.09514 | − | 2.05966i | −0.114802 | − | 0.215911i | ||||
\(92\) | −0.793515 | − | 4.08228i | −0.0827297 | − | 0.425607i | ||||
\(93\) | −1.58169 | − | 18.0788i | −0.164014 | − | 1.87469i | ||||
\(94\) | −10.8987 | + | 7.91839i | −1.12412 | + | 0.816719i | ||||
\(95\) | 7.46748 | − | 6.26393i | 0.766147 | − | 0.642665i | ||||
\(96\) | −1.59884 | − | 1.16163i | −0.163181 | − | 0.118558i | ||||
\(97\) | 8.28389 | − | 13.7867i | 0.841101 | − | 1.39983i | −0.0742792 | − | 0.997237i | \(-0.523666\pi\) |
0.915380 | − | 0.402590i | \(-0.131890\pi\) | |||||||
\(98\) | 4.65700 | + | 4.34273i | 0.470428 | + | 0.438682i | ||||
\(99\) | 1.54363 | − | 0.272183i | 0.155140 | − | 0.0273555i | ||||
\(100\) | 3.93395 | − | 3.08610i | 0.393395 | − | 0.308610i | ||||
\(101\) | 14.6661 | + | 5.33801i | 1.45933 | + | 0.531152i | 0.945180 | − | 0.326550i | \(-0.105886\pi\) |
0.514148 | + | 0.857702i | \(0.328108\pi\) | |||||||
\(102\) | −0.839229 | + | 1.29230i | −0.0830961 | + | 0.127957i | ||||
\(103\) | −2.96601 | + | 7.72673i | −0.292250 | + | 0.761337i | 0.706321 | + | 0.707892i | \(0.250354\pi\) |
−0.998571 | + | 0.0534454i | \(0.982980\pi\) | |||||||
\(104\) | 0.204629 | + | 2.92633i | 0.0200655 | + | 0.286950i | ||||
\(105\) | 2.43858 | − | 2.53023i | 0.237981 | − | 0.246925i | ||||
\(106\) | −0.219954 | − | 2.09272i | −0.0213638 | − | 0.203263i | ||||
\(107\) | −0.188837 | + | 0.704749i | −0.0182556 | + | 0.0681307i | −0.974453 | − | 0.224593i | \(-0.927895\pi\) |
0.956197 | + | 0.292723i | \(0.0945615\pi\) | |||||||
\(108\) | −2.00662 | + | 3.62004i | −0.193087 | + | 0.348338i | ||||
\(109\) | −3.17556 | + | 0.446296i | −0.304164 | + | 0.0427474i | −0.289604 | − | 0.957147i | \(-0.593524\pi\) |
−0.0145598 | + | 0.999894i | \(0.504635\pi\) | |||||||
\(110\) | −3.38663 | − | 1.87286i | −0.322902 | − | 0.178570i | ||||
\(111\) | 0.694884 | + | 19.8989i | 0.0659555 | + | 1.88872i | ||||
\(112\) | 0.310711 | + | 0.731990i | 0.0293594 | + | 0.0691665i | ||||
\(113\) | −7.57298 | − | 3.85863i | −0.712406 | − | 0.362989i | 0.0599306 | − | 0.998203i | \(-0.480912\pi\) |
−0.772336 | + | 0.635214i | \(0.780912\pi\) | |||||||
\(114\) | −7.87365 | + | 3.49474i | −0.737435 | + | 0.327312i | ||||
\(115\) | −8.68476 | − | 3.32391i | −0.809858 | − | 0.309956i | ||||
\(116\) | 5.77922 | + | 2.33496i | 0.536587 | + | 0.216795i | ||||
\(117\) | −2.60792 | + | 0.506929i | −0.241103 | + | 0.0468656i | ||||
\(118\) | 8.09682 | − | 11.5635i | 0.745373 | − | 1.06450i | ||||
\(119\) | 0.557267 | − | 0.271797i | 0.0510846 | − | 0.0249156i | ||||
\(120\) | −4.09566 | + | 1.65947i | −0.373881 | + | 0.151488i | ||||
\(121\) | 0.836712 | − | 7.96078i | 0.0760647 | − | 0.723708i | ||||
\(122\) | −6.66870 | − | 2.55987i | −0.603756 | − | 0.231760i | ||||
\(123\) | −0.952415 | + | 2.24375i | −0.0858764 | + | 0.202312i | ||||
\(124\) | 7.03450 | − | 5.90264i | 0.631717 | − | 0.530073i | ||||
\(125\) | −1.20167 | − | 11.1156i | −0.107480 | − | 0.994207i | ||||
\(126\) | −0.623700 | + | 0.360093i | −0.0555636 | + | 0.0320797i | ||||
\(127\) | −11.5418 | + | 1.41716i | −1.02417 | + | 0.125753i | −0.616483 | − | 0.787368i | \(-0.711443\pi\) |
−0.407690 | + | 0.913121i | \(0.633665\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | −4.26418 | + | 8.74286i | −0.375440 | + | 0.769766i | ||||
\(130\) | 5.79469 | + | 3.07374i | 0.508228 | + | 0.269585i | ||||
\(131\) | 6.52201 | + | 0.456064i | 0.569831 | + | 0.0398465i | 0.351766 | − | 0.936088i | \(-0.385581\pi\) |
0.218065 | + | 0.975934i | \(0.430026\pi\) | |||||||
\(132\) | 2.41856 | + | 2.41856i | 0.210509 | + | 0.210509i | ||||
\(133\) | 3.43989 | + | 0.426378i | 0.298276 | + | 0.0369716i | ||||
\(134\) | 6.52422 | − | 2.11985i | 0.563607 | − | 0.183127i | ||||
\(135\) | 4.49495 | + | 8.09021i | 0.386863 | + | 0.696294i | ||||
\(136\) | −0.779219 | + | 0.0272109i | −0.0668175 | + | 0.00233332i | ||||
\(137\) | −1.06289 | + | 3.47654i | −0.0908085 | + | 0.297021i | −0.990107 | − | 0.140314i | \(-0.955189\pi\) |
0.899299 | + | 0.437335i | \(0.144078\pi\) | |||||||
\(138\) | 6.56376 | + | 4.94615i | 0.558744 | + | 0.421044i | ||||
\(139\) | 2.52319 | + | 1.97133i | 0.214014 | + | 0.167206i | 0.716966 | − | 0.697109i | \(-0.245530\pi\) |
−0.502952 | + | 0.864314i | \(0.667753\pi\) | |||||||
\(140\) | 1.75651 | + | 0.276423i | 0.148453 | + | 0.0233620i | ||||
\(141\) | 5.53534 | − | 26.0417i | 0.466160 | − | 2.19311i | ||||
\(142\) | −2.37725 | − | 3.95641i | −0.199495 | − | 0.332015i | ||||
\(143\) | 0.442489 | − | 5.05768i | 0.0370028 | − | 0.422944i | ||||
\(144\) | 0.900701 | − | 0.0946675i | 0.0750584 | − | 0.00788896i | ||||
\(145\) | 11.2677 | − | 8.20347i | 0.935727 | − | 0.681261i | ||||
\(146\) | 4.92942 | − | 3.32494i | 0.407962 | − | 0.275174i | ||||
\(147\) | −12.5823 | − | 0.219625i | −1.03777 | − | 0.0181144i | ||||
\(148\) | −8.04627 | + | 6.06330i | −0.661399 | + | 0.498400i | ||||
\(149\) | 6.51460 | + | 17.8987i | 0.533697 | + | 1.46632i | 0.854639 | + | 0.519222i | \(0.173778\pi\) |
−0.320942 | + | 0.947099i | \(0.604000\pi\) | |||||||
\(150\) | −1.69662 | + | 9.73463i | −0.138529 | + | 0.794829i | ||||
\(151\) | 16.0026i | 1.30228i | 0.758959 | + | 0.651139i | \(0.225708\pi\) | ||||
−0.758959 | + | 0.651139i | \(0.774292\pi\) | |||||||
\(152\) | −3.73372 | − | 2.24929i | −0.302845 | − | 0.182442i | ||||
\(153\) | −0.110465 | − | 0.697446i | −0.00893053 | − | 0.0563852i | ||||
\(154\) | −0.332950 | − | 1.33539i | −0.0268299 | − | 0.107609i | ||||
\(155\) | −2.87784 | − | 20.3309i | −0.231153 | − | 1.63302i | ||||
\(156\) | −4.17026 | − | 4.02717i | −0.333888 | − | 0.322432i | ||||
\(157\) | −13.4154 | − | 19.1592i | −1.07067 | − | 1.52907i | −0.829436 | − | 0.558601i | \(-0.811338\pi\) |
−0.241230 | − | 0.970468i | \(-0.577551\pi\) | |||||||
\(158\) | 11.8844 | + | 6.58765i | 0.945475 | + | 0.524085i | ||||
\(159\) | 3.09042 | + | 2.78263i | 0.245086 | + | 0.220677i | ||||
\(160\) | −1.87653 | − | 1.21599i | −0.148353 | − | 0.0961327i | ||||
\(161\) | −1.23883 | − | 3.06621i | −0.0976333 | − | 0.241651i | ||||
\(162\) | −2.45124 | − | 10.6175i | −0.192587 | − | 0.834188i | ||||
\(163\) | −4.12687 | − | 6.35482i | −0.323241 | − | 0.497748i | 0.639273 | − | 0.768980i | \(-0.279235\pi\) |
−0.962514 | + | 0.271232i | \(0.912569\pi\) | |||||||
\(164\) | −1.20644 | + | 0.256437i | −0.0942071 | + | 0.0200243i | ||||
\(165\) | 7.45044 | − | 1.72784i | 0.580016 | − | 0.134512i | ||||
\(166\) | 0.785172 | + | 5.58679i | 0.0609412 | + | 0.433619i | ||||
\(167\) | 0.173022 | + | 9.91241i | 0.0133888 | + | 0.767045i | 0.930061 | + | 0.367405i | \(0.119754\pi\) |
−0.916672 | + | 0.399640i | \(0.869135\pi\) | |||||||
\(168\) | −1.42430 | − | 0.664163i | −0.109887 | − | 0.0512413i | ||||
\(169\) | 0.306562 | − | 4.38404i | 0.0235817 | − | 0.337234i | ||||
\(170\) | −0.870230 | + | 1.51073i | −0.0667436 | + | 0.115868i | ||||
\(171\) | 1.60981 | − | 3.60455i | 0.123105 | − | 0.275647i | ||||
\(172\) | −4.86145 | + | 0.769978i | −0.370682 | + | 0.0587103i | ||||
\(173\) | −0.947628 | + | 4.10463i | −0.0720468 | + | 0.312069i | −0.997819 | − | 0.0660134i | \(-0.978972\pi\) |
0.925772 | + | 0.378082i | \(0.123416\pi\) | |||||||
\(174\) | −11.5754 | + | 4.21311i | −0.877530 | + | 0.319395i | ||||
\(175\) | 2.60256 | − | 3.00590i | 0.196735 | − | 0.227225i | ||||
\(176\) | −0.300535 | + | 1.70442i | −0.0226537 | + | 0.128475i | ||||
\(177\) | 3.39989 | + | 27.6899i | 0.255552 | + | 2.08130i | ||||
\(178\) | 3.23298 | − | 2.61802i | 0.242322 | − | 0.196229i | ||||
\(179\) | −18.3503 | + | 8.17008i | −1.37157 | + | 0.610660i | −0.954499 | − | 0.298215i | \(-0.903609\pi\) |
−0.417067 | + | 0.908876i | \(0.636942\pi\) | |||||||
\(180\) | 0.885954 | − | 1.82105i | 0.0660351 | − | 0.135733i | ||||
\(181\) | 1.08749 | + | 0.271142i | 0.0808326 | + | 0.0201538i | 0.282128 | − | 0.959377i | \(-0.408960\pi\) |
−0.201296 | + | 0.979531i | \(0.564515\pi\) | |||||||
\(182\) | 0.603750 | + | 2.25322i | 0.0447529 | + | 0.167020i | ||||
\(183\) | 13.1792 | − | 5.05902i | 0.974233 | − | 0.373973i | ||||
\(184\) | −0.145136 | + | 4.15616i | −0.0106996 | + | 0.306396i | ||||
\(185\) | 1.98569 | + | 22.4407i | 0.145991 | + | 1.64988i | ||||
\(186\) | −2.52570 | + | 17.9713i | −0.185193 | + | 1.31772i | ||||
\(187\) | 1.33937 | + | 0.164454i | 0.0979443 | + | 0.0120261i | ||||
\(188\) | 12.4006 | − | 5.26376i | 0.904410 | − | 0.383899i | ||||
\(189\) | −1.01708 | + | 3.13025i | −0.0739817 | + | 0.227692i | ||||
\(190\) | −8.68516 | + | 4.42357i | −0.630088 | + | 0.320919i | ||||
\(191\) | 4.82885 | + | 14.8617i | 0.349404 | + | 1.07535i | 0.959184 | + | 0.282783i | \(0.0912577\pi\) |
−0.609780 | + | 0.792570i | \(0.708742\pi\) | |||||||
\(192\) | 1.29655 | + | 1.49151i | 0.0935706 | + | 0.107641i | ||||
\(193\) | 4.64726 | − | 9.96608i | 0.334517 | − | 0.717374i | −0.665050 | − | 0.746799i | \(-0.731590\pi\) |
0.999567 | + | 0.0294246i | \(0.00936748\pi\) | |||||||
\(194\) | −11.1729 | + | 11.5699i | −0.802168 | + | 0.830669i | ||||
\(195\) | −12.5751 | + | 3.14854i | −0.900521 | + | 0.225472i | ||||
\(196\) | −3.56074 | − | 5.27902i | −0.254339 | − | 0.377073i | ||||
\(197\) | 13.1944 | + | 16.2938i | 0.940064 | + | 1.16088i | 0.986795 | + | 0.161975i | \(0.0517864\pi\) |
−0.0467307 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(198\) | −1.56529 | − | 0.0820335i | −0.111241 | − | 0.00582987i | ||||
\(199\) | −7.61569 | − | 9.07603i | −0.539862 | − | 0.643382i | 0.425295 | − | 0.905055i | \(-0.360170\pi\) |
−0.965157 | + | 0.261672i | \(0.915726\pi\) | |||||||
\(200\) | −4.52735 | + | 2.12205i | −0.320132 | + | 0.150052i | ||||
\(201\) | −6.77860 | + | 11.7409i | −0.478125 | + | 0.828138i | ||||
\(202\) | −13.0894 | − | 8.50034i | −0.920966 | − | 0.598082i | ||||
\(203\) | 4.86551 | + | 0.945760i | 0.341492 | + | 0.0663793i | ||||
\(204\) | 1.10842 | − | 1.07039i | 0.0776052 | − | 0.0749425i | ||||
\(205\) | −0.940709 | + | 2.59256i | −0.0657020 | + | 0.181072i | ||||
\(206\) | 4.62813 | − | 6.86149i | 0.322457 | − | 0.478062i | ||||
\(207\) | −3.75204 | + | 0.328261i | −0.260785 | + | 0.0228157i | ||||
\(208\) | 0.458896 | − | 2.89736i | 0.0318187 | − | 0.200895i | ||||
\(209\) | 5.77347 | + | 4.85583i | 0.399359 | + | 0.335885i | ||||
\(210\) | −2.94526 | + | 1.91682i | −0.203242 | + | 0.132273i | ||||
\(211\) | 14.0435 | + | 22.4744i | 0.966798 | + | 1.54720i | 0.830860 | + | 0.556482i | \(0.187849\pi\) |
0.135938 | + | 0.990717i | \(0.456595\pi\) | |||||||
\(212\) | −0.256443 | + | 2.08856i | −0.0176126 | + | 0.143443i | ||||
\(213\) | 8.72328 | + | 2.66697i | 0.597709 | + | 0.182738i | ||||
\(214\) | 0.342531 | − | 0.644207i | 0.0234149 | − | 0.0440371i | ||||
\(215\) | −4.29037 | + | 10.1354i | −0.292601 | + | 0.691226i | ||||
\(216\) | 2.76952 | − | 3.07587i | 0.188442 | − | 0.209286i | ||||
\(217\) | 4.59547 | − | 5.67493i | 0.311961 | − | 0.385239i | ||||
\(218\) | 3.19457 | + | 0.279488i | 0.216363 | + | 0.0189293i | ||||
\(219\) | −2.84279 | + | 11.4018i | −0.192098 | + | 0.770462i | ||||
\(220\) | 2.87852 | + | 2.58668i | 0.194070 | + | 0.174394i | ||||
\(221\) | −2.27468 | − | 0.239079i | −0.153012 | − | 0.0160822i | ||||
\(222\) | 3.79920 | − | 19.5452i | 0.254985 | − | 1.31179i | ||||
\(223\) | −0.369525 | + | 0.112975i | −0.0247452 | + | 0.00756538i | −0.304720 | − | 0.952442i | \(-0.598563\pi\) |
0.279975 | + | 0.960007i | \(0.409674\pi\) | |||||||
\(224\) | −0.138086 | − | 0.783123i | −0.00922625 | − | 0.0523246i | ||||
\(225\) | −2.40723 | − | 3.83547i | −0.160482 | − | 0.255698i | ||||
\(226\) | 6.51088 | + | 5.46328i | 0.433097 | + | 0.363412i | ||||
\(227\) | 2.83406 | − | 1.44402i | 0.188103 | − | 0.0958433i | −0.357403 | − | 0.933950i | \(-0.616338\pi\) |
0.545506 | + | 0.838107i | \(0.316338\pi\) | |||||||
\(228\) | 8.45799 | − | 1.63399i | 0.560144 | − | 0.108213i | ||||
\(229\) | −3.96778 | + | 5.46119i | −0.262199 | + | 0.360885i | −0.919737 | − | 0.392536i | \(-0.871598\pi\) |
0.657538 | + | 0.753421i | \(0.271598\pi\) | |||||||
\(230\) | 7.71446 | + | 5.19237i | 0.508676 | + | 0.342375i | ||||
\(231\) | 2.25489 | + | 1.52094i | 0.148361 | + | 0.100071i | ||||
\(232\) | −5.10585 | − | 3.57515i | −0.335215 | − | 0.234720i | ||||
\(233\) | −5.65943 | + | 16.4362i | −0.370761 | + | 1.07677i | 0.591889 | + | 0.806020i | \(0.298383\pi\) |
−0.962650 | + | 0.270749i | \(0.912729\pi\) | |||||||
\(234\) | 2.65512 | + | 0.0927187i | 0.173570 | + | 0.00606121i | ||||
\(235\) | 4.68289 | − | 29.7571i | 0.305478 | − | 1.94114i | ||||
\(236\) | −10.4905 | + | 9.44570i | −0.682874 | + | 0.614863i | ||||
\(237\) | −26.1656 | + | 6.04080i | −1.69964 | + | 0.392392i | ||||
\(238\) | −0.604125 | + | 0.139473i | −0.0391596 | + | 0.00904071i | ||||
\(239\) | −11.3848 | + | 10.2509i | −0.736423 | + | 0.663078i | −0.949432 | − | 0.313972i | \(-0.898340\pi\) |
0.213009 | + | 0.977050i | \(0.431673\pi\) | |||||||
\(240\) | 4.36399 | − | 0.695616i | 0.281695 | − | 0.0449018i | ||||
\(241\) | −20.4947 | − | 0.715692i | −1.32018 | − | 0.0461018i | −0.633887 | − | 0.773426i | \(-0.718542\pi\) |
−0.686294 | + | 0.727324i | \(0.740764\pi\) | |||||||
\(242\) | −2.60605 | + | 7.56853i | −0.167523 | + | 0.486524i | ||||
\(243\) | 7.46906 | + | 5.22989i | 0.479140 | + | 0.335498i | ||||
\(244\) | 5.92194 | + | 3.99440i | 0.379113 | + | 0.255715i | ||||
\(245\) | −14.2293 | + | 0.510996i | −0.909078 | + | 0.0326464i | ||||
\(246\) | 1.43274 | − | 1.97200i | 0.0913481 | − | 0.125730i | ||||
\(247\) | −9.92788 | − | 8.05835i | −0.631696 | − | 0.512740i | ||||
\(248\) | −8.18201 | + | 4.16894i | −0.519558 | + | 0.264728i | ||||
\(249\) | −8.54104 | − | 7.16679i | −0.541267 | − | 0.454177i | ||||
\(250\) | −1.32959 | + | 11.1010i | −0.0840909 | + | 0.702089i | ||||
\(251\) | 1.79015 | + | 10.1524i | 0.112993 | + | 0.640815i | 0.987724 | + | 0.156207i | \(0.0499266\pi\) |
−0.874731 | + | 0.484608i | \(0.838962\pi\) | |||||||
\(252\) | 0.688718 | − | 0.210562i | 0.0433851 | − | 0.0132642i | ||||
\(253\) | 1.37335 | − | 7.06526i | 0.0863416 | − | 0.444189i | ||||
\(254\) | 11.5648 | + | 1.21551i | 0.725641 | + | 0.0762680i | ||||
\(255\) | −0.719702 | − | 3.36953i | −0.0450695 | − | 0.211008i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | −8.31847 | − | 0.727772i | −0.518892 | − | 0.0453971i | −0.175298 | − | 0.984515i | \(-0.556089\pi\) |
−0.343594 | + | 0.939118i | \(0.611644\pi\) | |||||||
\(258\) | 6.12160 | − | 7.55955i | 0.381114 | − | 0.470637i | ||||
\(259\) | −5.36087 | + | 5.95385i | −0.333108 | + | 0.369954i | ||||
\(260\) | −4.95473 | − | 4.29848i | −0.307279 | − | 0.266580i | ||||
\(261\) | 2.65020 | − | 4.98430i | 0.164043 | − | 0.308521i | ||||
\(262\) | −6.25226 | − | 1.91151i | −0.386266 | − | 0.118093i | ||||
\(263\) | −2.20967 | + | 17.9963i | −0.136254 | + | 1.10970i | 0.754848 | + | 0.655900i | \(0.227711\pi\) |
−0.891102 | + | 0.453802i | \(0.850067\pi\) | |||||||
\(264\) | −1.81252 | − | 2.90063i | −0.111553 | − | 0.178522i | ||||
\(265\) | 3.65959 | + | 2.95749i | 0.224807 | + | 0.181677i | ||||
\(266\) | −3.25581 | − | 1.18926i | −0.199627 | − | 0.0729180i | ||||
\(267\) | −1.28612 | + | 8.12023i | −0.0787091 | + | 0.496950i | ||||
\(268\) | −6.83387 | + | 0.597886i | −0.417445 | + | 0.0365217i | ||||
\(269\) | 6.79311 | − | 10.0712i | 0.414183 | − | 0.614052i | −0.562998 | − | 0.826458i | \(-0.690352\pi\) |
0.977181 | + | 0.212406i | \(0.0681301\pi\) | |||||||
\(270\) | −2.55984 | − | 8.89400i | −0.155787 | − | 0.541272i | ||||
\(271\) | −18.0845 | + | 17.4640i | −1.09856 | + | 1.06086i | −0.100732 | + | 0.994914i | \(0.532119\pi\) |
−0.997823 | + | 0.0659488i | \(0.978993\pi\) | |||||||
\(272\) | 0.765369 | + | 0.148773i | 0.0464073 | + | 0.00902067i | ||||
\(273\) | −3.86633 | − | 2.51083i | −0.234001 | − | 0.151962i | ||||
\(274\) | 1.81770 | − | 3.14834i | 0.109811 | − | 0.190198i | ||||
\(275\) | 8.31360 | − | 2.40170i | 0.501329 | − | 0.144828i | ||||
\(276\) | −5.28289 | − | 6.29590i | −0.317992 | − | 0.378969i | ||||
\(277\) | −9.73299 | − | 0.510084i | −0.584799 | − | 0.0306480i | −0.242357 | − | 0.970187i | \(-0.577921\pi\) |
−0.342442 | + | 0.939539i | \(0.611254\pi\) | |||||||
\(278\) | −2.01506 | − | 2.48840i | −0.120856 | − | 0.149244i | ||||
\(279\) | −4.65058 | − | 6.89477i | −0.278423 | − | 0.412779i | ||||
\(280\) | −1.64931 | − | 0.664468i | −0.0985653 | − | 0.0397096i | ||||
\(281\) | 2.22879 | − | 2.30798i | 0.132958 | − | 0.137682i | −0.649559 | − | 0.760311i | \(-0.725046\pi\) |
0.782517 | + | 0.622629i | \(0.213935\pi\) | |||||||
\(282\) | −11.2516 | + | 24.1291i | −0.670022 | + | 1.43687i | ||||
\(283\) | 14.4811 | + | 16.6586i | 0.860811 | + | 0.990250i | 1.00000 | 1.56352e-5i | \(-4.97684e-6\pi\) | |
−0.139189 | + | 0.990266i | \(0.544449\pi\) | |||||||
\(284\) | 1.42632 | + | 4.38978i | 0.0846368 | + | 0.260485i | ||||
\(285\) | 6.90587 | − | 17.9818i | 0.409069 | − | 1.06515i | ||||
\(286\) | −1.56888 | + | 4.82851i | −0.0927697 | + | 0.285516i | ||||
\(287\) | −0.902830 | + | 0.383229i | −0.0532924 | + | 0.0226213i | ||||
\(288\) | −0.898912 | − | 0.110372i | −0.0529689 | − | 0.00650376i | ||||
\(289\) | −2.28134 | + | 16.2326i | −0.134196 | + | 0.954856i | ||||
\(290\) | −12.8242 | + | 5.45855i | −0.753065 | + | 0.320537i | ||||
\(291\) | 1.10933 | − | 31.7671i | 0.0650302 | − | 1.86222i | ||||
\(292\) | −5.55103 | + | 2.13084i | −0.324849 | + | 0.124698i | ||||
\(293\) | −1.35008 | − | 5.03855i | −0.0788723 | − | 0.294355i | 0.915211 | − | 0.402975i | \(-0.132024\pi\) |
−0.994083 | + | 0.108619i | \(0.965357\pi\) | |||||||
\(294\) | 12.2104 | + | 3.04440i | 0.712126 | + | 0.177553i | ||||
\(295\) | 5.51199 | + | 31.0802i | 0.320921 | + | 1.80956i | ||||
\(296\) | 9.20398 | − | 4.09788i | 0.534971 | − | 0.238184i | ||||
\(297\) | −5.56701 | + | 4.50807i | −0.323030 | + | 0.261585i | ||||
\(298\) | −2.32130 | − | 18.9054i | −0.134469 | − | 1.09516i | ||||
\(299\) | −2.11840 | + | 12.0141i | −0.122510 | + | 0.694791i | ||||
\(300\) | 3.84295 | − | 9.10348i | 0.221873 | − | 0.525589i | ||||
\(301\) | −3.67799 | + | 1.33868i | −0.211996 | + | 0.0771602i | ||||
\(302\) | 3.59981 | − | 15.5925i | 0.207146 | − | 0.897248i | ||||
\(303\) | 30.4646 | − | 4.82511i | 1.75014 | − | 0.277196i | ||||
\(304\) | 3.13205 | + | 3.03155i | 0.179635 | + | 0.173871i | ||||
\(305\) | 14.5852 | − | 6.51106i | 0.835147 | − | 0.372822i | ||||
\(306\) | −0.0492578 | + | 0.704420i | −0.00281588 | + | 0.0402690i | ||||
\(307\) | 14.0624 | + | 6.55739i | 0.802582 | + | 0.374250i | 0.780224 | − | 0.625500i | \(-0.215105\pi\) |
0.0223577 | + | 0.999750i | \(0.492883\pi\) | |||||||
\(308\) | 0.0240192 | + | 1.37606i | 0.00136862 | + | 0.0784083i | ||||
\(309\) | 2.27639 | + | 16.1974i | 0.129499 | + | 0.921435i | ||||
\(310\) | −1.76938 | + | 20.4572i | −0.100494 | + | 1.16189i | ||||
\(311\) | 1.53861 | − | 0.327043i | 0.0872468 | − | 0.0185449i | −0.164081 | − | 0.986447i | \(-0.552466\pi\) |
0.251328 | + | 0.967902i | \(0.419133\pi\) | |||||||
\(312\) | 3.15746 | + | 4.86206i | 0.178756 | + | 0.275260i | ||||
\(313\) | −5.11330 | − | 22.1481i | −0.289021 | − | 1.25189i | −0.891231 | − | 0.453549i | \(-0.850158\pi\) |
0.602210 | − | 0.798338i | \(-0.294287\pi\) | |||||||
\(314\) | 8.76169 | + | 21.6859i | 0.494451 | + | 1.22381i | ||||
\(315\) | 0.415259 | − | 1.55593i | 0.0233972 | − | 0.0876665i | ||||
\(316\) | −10.0979 | − | 9.09223i | −0.568053 | − | 0.511478i | ||||
\(317\) | 0.205410 | + | 0.113860i | 0.0115370 | + | 0.00639504i | 0.490568 | − | 0.871403i | \(-0.336789\pi\) |
−0.479031 | + | 0.877798i | \(0.659012\pi\) | |||||||
\(318\) | −2.38526 | − | 3.40650i | −0.133759 | − | 0.191027i | ||||
\(319\) | 7.76001 | + | 7.49376i | 0.434477 | + | 0.419570i | ||||
\(320\) | 1.55489 | + | 1.60695i | 0.0869212 | + | 0.0898315i | ||||
\(321\) | 0.348830 | + | 1.39908i | 0.0194698 | + | 0.0780890i | ||||
\(322\) | 0.517330 | + | 3.26629i | 0.0288297 | + | 0.182023i | ||||
\(323\) | 2.23263 | − | 2.56240i | 0.124227 | − | 0.142576i | ||||
\(324\) | 10.8968i | 0.605376i | ||||||||
\(325\) | −14.0179 | + | 4.31607i | −0.777576 | + | 0.239412i | ||||
\(326\) | 2.59157 | + | 7.12028i | 0.143534 | + | 0.394356i | ||||
\(327\) | −5.06132 | + | 3.81398i | −0.279892 | + | 0.210913i | ||||
\(328\) | 1.23320 | + | 0.0215257i | 0.0680923 | + | 0.00118856i | ||||
\(329\) | 8.88119 | − | 5.99044i | 0.489636 | − | 0.330263i | ||||
\(330\) | −7.64816 | + | 0.00756775i | −0.421018 | + | 0.000416591i | ||||
\(331\) | −28.0052 | + | 2.94346i | −1.53930 | + | 0.161787i | −0.835851 | − | 0.548956i | \(-0.815025\pi\) |
−0.703451 | + | 0.710743i | \(0.748359\pi\) | |||||||
\(332\) | 0.491706 | − | 5.62023i | 0.0269859 | − | 0.308450i | ||||
\(333\) | 4.69950 | + | 7.82128i | 0.257531 | + | 0.428603i | ||||
\(334\) | 2.06122 | − | 9.69728i | 0.112785 | − | 0.530611i | ||||
\(335\) | −6.95040 | + | 13.6744i | −0.379741 | + | 0.747110i | ||||
\(336\) | 1.23839 | + | 0.967538i | 0.0675598 | + | 0.0527835i | ||||
\(337\) | 12.0097 | + | 9.04997i | 0.654211 | + | 0.492984i | 0.876126 | − | 0.482083i | \(-0.160119\pi\) |
−0.221915 | + | 0.975066i | \(0.571231\pi\) | |||||||
\(338\) | −1.28490 | + | 4.20272i | −0.0698893 | + | 0.228598i | ||||
\(339\) | −16.7868 | + | 0.586209i | −0.911735 | + | 0.0318385i | ||||
\(340\) | 1.18777 | − | 1.27625i | 0.0644157 | − | 0.0692146i | ||||
\(341\) | 15.1151 | − | 4.91119i | 0.818527 | − | 0.265956i | ||||
\(342\) | −2.37940 | + | 3.15003i | −0.128663 | + | 0.170334i | ||||
\(343\) | −7.51656 | − | 7.51656i | −0.405856 | − | 0.405856i | ||||
\(344\) | 4.91006 | + | 0.343345i | 0.264733 | + | 0.0185119i | ||||
\(345\) | −18.1962 | + | 2.57567i | −0.979651 | + | 0.138670i | ||||
\(346\) | 1.84668 | − | 3.78626i | 0.0992782 | − | 0.203550i | ||||
\(347\) | 0.459850 | − | 26.3448i | 0.0246860 | − | 1.41426i | −0.694525 | − | 0.719469i | \(-0.744385\pi\) |
0.719211 | − | 0.694792i | \(-0.244504\pi\) | |||||||
\(348\) | 12.2265 | − | 1.50122i | 0.655408 | − | 0.0804740i | ||||
\(349\) | 19.1907 | − | 11.0797i | 1.02725 | − | 0.593085i | 0.111057 | − | 0.993814i | \(-0.464576\pi\) |
0.916197 | + | 0.400729i | \(0.131243\pi\) | |||||||
\(350\) | −3.21204 | + | 2.34341i | −0.171691 | + | 0.125260i | ||||
\(351\) | 9.30100 | − | 7.80447i | 0.496451 | − | 0.416572i | ||||
\(352\) | 0.676243 | − | 1.59313i | 0.0360439 | − | 0.0849141i | ||||
\(353\) | 2.80416 | + | 1.07642i | 0.149251 | + | 0.0572919i | 0.431847 | − | 0.901947i | \(-0.357862\pi\) |
−0.282596 | + | 0.959239i | \(0.591196\pi\) | |||||||
\(354\) | 2.91612 | − | 27.7450i | 0.154990 | − | 1.47463i | ||||
\(355\) | 10.0169 | + | 2.48696i | 0.531640 | + | 0.131994i | ||||
\(356\) | −3.73905 | + | 1.82366i | −0.198169 | + | 0.0966535i | ||||
\(357\) | 0.702816 | − | 1.00373i | 0.0371970 | − | 0.0531228i | ||||
\(358\) | 19.7179 | − | 3.83276i | 1.04212 | − | 0.202568i | ||||
\(359\) | −13.0506 | − | 5.27280i | −0.688786 | − | 0.278288i | 0.00341296 | − | 0.999994i | \(-0.498914\pi\) |
−0.692199 | + | 0.721706i | \(0.743358\pi\) | |||||||
\(360\) | −1.27289 | + | 1.57508i | −0.0670873 | + | 0.0830138i | ||||
\(361\) | 18.2760 | − | 5.19513i | 0.961893 | − | 0.273428i | ||||
\(362\) | −0.998626 | − | 0.508825i | −0.0524866 | − | 0.0267433i | ||||
\(363\) | −6.18111 | − | 14.5618i | −0.324424 | − | 0.764296i | ||||
\(364\) | −0.0814104 | − | 2.33129i | −0.00426706 | − | 0.122193i | ||||
\(365\) | −2.52400 | + | 13.0538i | −0.132112 | + | 0.683267i | ||||
\(366\) | −13.9794 | + | 1.96468i | −0.730717 | + | 0.102696i | ||||
\(367\) | 9.75800 | − | 17.6039i | 0.509363 | − | 0.918916i | −0.489535 | − | 0.871984i | \(-0.662833\pi\) |
0.998898 | − | 0.0469320i | \(-0.0149444\pi\) | |||||||
\(368\) | 1.07635 | − | 4.01699i | 0.0561085 | − | 0.209400i | ||||
\(369\) | 0.116762 | + | 1.11092i | 0.00607839 | + | 0.0578320i | ||||
\(370\) | 3.11327 | − | 22.3123i | 0.161851 | − | 1.15996i | ||||
\(371\) | 0.116724 | + | 1.66923i | 0.00606001 | + | 0.0866622i | ||||
\(372\) | 6.50363 | − | 16.9425i | 0.337197 | − | 0.878429i | ||||
\(373\) | −5.66695 | + | 8.72633i | −0.293423 | + | 0.451832i | −0.954381 | − | 0.298591i | \(-0.903484\pi\) |
0.660958 | + | 0.750423i | \(0.270150\pi\) | |||||||
\(374\) | −1.26805 | − | 0.461531i | −0.0655691 | − | 0.0238652i | ||||
\(375\) | −12.7271 | − | 18.0618i | −0.657224 | − | 0.932708i | ||||
\(376\) | −13.2669 | + | 2.33931i | −0.684188 | + | 0.120641i | ||||
\(377\) | −13.3725 | − | 12.4701i | −0.688719 | − | 0.642241i | ||||
\(378\) | 1.69517 | − | 2.82123i | 0.0871899 | − | 0.145108i | ||||
\(379\) | −23.8316 | − | 17.3147i | −1.22415 | − | 0.889395i | −0.227710 | − | 0.973729i | \(-0.573124\pi\) |
−0.996438 | + | 0.0843336i | \(0.973124\pi\) | |||||||
\(380\) | 9.45765 | − | 2.35646i | 0.485167 | − | 0.120884i | ||||
\(381\) | −18.5921 | + | 13.5080i | −0.952504 | + | 0.692035i | ||||
\(382\) | −1.36194 | − | 15.5670i | −0.0696829 | − | 0.796479i | ||||
\(383\) | 1.08010 | + | 5.55665i | 0.0551907 | + | 0.283932i | 0.998903 | − | 0.0468372i | \(-0.0149142\pi\) |
−0.943712 | + | 0.330769i | \(0.892692\pi\) | |||||||
\(384\) | −0.927805 | − | 1.74495i | −0.0473468 | − | 0.0890465i | ||||
\(385\) | 2.63944 | + | 1.58238i | 0.134518 | + | 0.0806458i | ||||
\(386\) | −6.77003 | + | 8.66525i | −0.344586 | + | 0.441049i | ||||
\(387\) | 0.233299 | + | 4.45160i | 0.0118592 | + | 0.226288i | ||||
\(388\) | 13.4892 | − | 8.75999i | 0.684810 | − | 0.444721i | ||||
\(389\) | 23.1635 | − | 9.35866i | 1.17444 | − | 0.474503i | 0.297319 | − | 0.954778i | \(-0.403908\pi\) |
0.877118 | + | 0.480275i | \(0.159463\pi\) | |||||||
\(390\) | 12.9611 | − | 0.239065i | 0.656308 | − | 0.0121055i | ||||
\(391\) | −3.17165 | − | 0.674155i | −0.160397 | − | 0.0340935i | ||||
\(392\) | 2.28196 | + | 5.94471i | 0.115256 | + | 0.300253i | ||||
\(393\) | 11.7102 | − | 5.46055i | 0.590701 | − | 0.275448i | ||||
\(394\) | −9.19096 | − | 18.8443i | −0.463034 | − | 0.949360i | ||||
\(395\) | −29.1986 | + | 8.40385i | −1.46914 | + | 0.422844i | ||||
\(396\) | 1.50672 | + | 0.432045i | 0.0757156 | + | 0.0217111i | ||||
\(397\) | 20.8172 | + | 12.5082i | 1.04479 | + | 0.627771i | 0.930731 | − | 0.365704i | \(-0.119172\pi\) |
0.114055 | + | 0.993474i | \(0.463616\pi\) | |||||||
\(398\) | 5.37884 | + | 10.5566i | 0.269617 | + | 0.529153i | ||||
\(399\) | 6.35433 | − | 2.55883i | 0.318115 | − | 0.128102i | ||||
\(400\) | 4.88867 | − | 1.04924i | 0.244434 | − | 0.0524618i | ||||
\(401\) | 13.2277 | − | 15.7641i | 0.660557 | − | 0.787222i | −0.326908 | − | 0.945056i | \(-0.606007\pi\) |
0.987466 | + | 0.157834i | \(0.0504512\pi\) | |||||||
\(402\) | 9.24598 | − | 9.91510i | 0.461148 | − | 0.494520i | ||||
\(403\) | −25.4701 | + | 8.77007i | −1.26876 | + | 0.436868i | ||||
\(404\) | 10.8417 | + | 11.2270i | 0.539397 | + | 0.558562i | ||||
\(405\) | 20.6762 | + | 12.8915i | 1.02741 | + | 0.640584i | ||||
\(406\) | −4.52806 | − | 2.01602i | −0.224724 | − | 0.100054i | ||||
\(407\) | −16.8428 | + | 4.51302i | −0.834867 | + | 0.223702i | ||||
\(408\) | −1.32080 | + | 0.793617i | −0.0653894 | + | 0.0392899i | ||||
\(409\) | 23.1532 | + | 14.4677i | 1.14485 | + | 0.715383i | 0.963414 | − | 0.268019i | \(-0.0863690\pi\) |
0.181439 | + | 0.983402i | \(0.441925\pi\) | |||||||
\(410\) | 1.49980 | − | 2.31449i | 0.0740697 | − | 0.114305i | ||||
\(411\) | 1.49375 | + | 7.02754i | 0.0736812 | + | 0.346643i | ||||
\(412\) | −6.05301 | + | 5.64452i | −0.298210 | + | 0.278086i | ||||
\(413\) | −6.75562 | + | 8.96501i | −0.332422 | + | 0.441139i | ||||
\(414\) | 3.72971 | + | 0.524177i | 0.183305 | + | 0.0257619i | ||||
\(415\) | −10.0825 | − | 7.58205i | −0.494929 | − | 0.372188i | ||||
\(416\) | −1.09890 | + | 2.71987i | −0.0538779 | + | 0.133352i | ||||
\(417\) | 6.25006 | + | 0.989913i | 0.306067 | + | 0.0484762i | ||||
\(418\) | −4.53317 | − | 6.03012i | −0.221725 | − | 0.294943i | ||||
\(419\) | −3.39479 | − | 4.67253i | −0.165847 | − | 0.228268i | 0.718002 | − | 0.696041i | \(-0.245057\pi\) |
−0.883849 | + | 0.467772i | \(0.845057\pi\) | |||||||
\(420\) | 3.30096 | − | 1.20515i | 0.161070 | − | 0.0588054i | ||||
\(421\) | 8.01924 | − | 27.9664i | 0.390834 | − | 1.36300i | −0.482508 | − | 0.875891i | \(-0.660274\pi\) |
0.873342 | − | 0.487108i | \(-0.161948\pi\) | |||||||
\(422\) | −8.62798 | − | 25.0575i | −0.420003 | − | 1.21978i | ||||
\(423\) | −3.56714 | − | 11.6676i | −0.173440 | − | 0.567297i | ||||
\(424\) | 0.719696 | − | 1.97735i | 0.0349515 | − | 0.0960285i | ||||
\(425\) | −1.01645 | − | 3.76363i | −0.0493050 | − | 0.182563i | ||||
\(426\) | −7.89976 | − | 4.56093i | −0.382745 | − | 0.220978i | ||||
\(427\) | 5.22871 | + | 2.21945i | 0.253035 | + | 0.107407i | ||||
\(428\) | −0.478667 | + | 0.550644i | −0.0231373 | + | 0.0266164i | ||||
\(429\) | −4.08101 | − | 9.16609i | −0.197033 | − | 0.442543i | ||||
\(430\) | 6.46037 | − | 8.91047i | 0.311547 | − | 0.429701i | ||||
\(431\) | 3.52742 | + | 12.3016i | 0.169910 | + | 0.592546i | 0.999420 | + | 0.0340542i | \(0.0108419\pi\) |
−0.829510 | + | 0.558491i | \(0.811380\pi\) | |||||||
\(432\) | −3.39046 | + | 2.37403i | −0.163124 | + | 0.114220i | ||||
\(433\) | −5.63650 | + | 0.0983856i | −0.270873 | + | 0.00472811i | −0.152728 | − | 0.988268i | \(-0.548806\pi\) |
−0.118145 | + | 0.992996i | \(0.537695\pi\) | |||||||
\(434\) | −5.75427 | + | 4.49573i | −0.276214 | + | 0.215802i | ||||
\(435\) | 11.6161 | − | 24.9753i | 0.556950 | − | 1.19748i | ||||
\(436\) | −3.04982 | − | 0.990946i | −0.146060 | − | 0.0474577i | ||||
\(437\) | −12.8032 | − | 12.8327i | −0.612461 | − | 0.613869i | ||||
\(438\) | 5.33477 | − | 10.4701i | 0.254905 | − | 0.500280i | ||||
\(439\) | 14.0461 | − | 8.77700i | 0.670386 | − | 0.418903i | −0.151577 | − | 0.988446i | \(-0.548435\pi\) |
0.821962 | + | 0.569542i | \(0.192879\pi\) | |||||||
\(440\) | −2.22287 | − | 3.16791i | −0.105971 | − | 0.151024i | ||||
\(441\) | −5.09191 | + | 2.70741i | −0.242472 | + | 0.128924i | ||||
\(442\) | 2.16260 | + | 0.744643i | 0.102864 | + | 0.0354191i | ||||
\(443\) | 6.21542 | + | 13.3290i | 0.295304 | + | 0.633280i | 0.996847 | − | 0.0793461i | \(-0.0252832\pi\) |
−0.701544 | + | 0.712627i | \(0.747505\pi\) | |||||||
\(444\) | −8.09853 | + | 18.1896i | −0.384339 | + | 0.863240i | ||||
\(445\) | −0.963191 | + | 9.25220i | −0.0456596 | + | 0.438596i | ||||
\(446\) | 0.385468 | − | 0.0269546i | 0.0182525 | − | 0.00127634i | ||||
\(447\) | 28.4095 | + | 24.6960i | 1.34372 | + | 1.16808i | ||||
\(448\) | −0.0416178 | + | 0.794115i | −0.00196626 | + | 0.0375184i | ||||
\(449\) | −4.10663 | − | 7.11290i | −0.193804 | − | 0.335678i | 0.752704 | − | 0.658359i | \(-0.228749\pi\) |
−0.946508 | + | 0.322681i | \(0.895416\pi\) | |||||||
\(450\) | 1.48274 | + | 4.27868i | 0.0698972 | + | 0.201699i | ||||
\(451\) | −2.10222 | − | 0.370678i | −0.0989895 | − | 0.0174545i | ||||
\(452\) | −5.11504 | − | 6.78788i | −0.240591 | − | 0.319275i | ||||
\(453\) | 15.3324 | + | 27.6604i | 0.720380 | + | 1.29960i | ||||
\(454\) | −3.08626 | + | 0.769490i | −0.144845 | + | 0.0361140i | ||||
\(455\) | −4.51985 | − | 2.60358i | −0.211894 | − | 0.122058i | ||||
\(456\) | −8.60878 | − | 0.310529i | −0.403143 | − | 0.0145418i | ||||
\(457\) | 6.20702 | − | 6.20702i | 0.290352 | − | 0.290352i | −0.546867 | − | 0.837219i | \(-0.684180\pi\) |
0.837219 | + | 0.546867i | \(0.184180\pi\) | |||||||
\(458\) | 5.09459 | − | 4.42866i | 0.238055 | − | 0.206938i | ||||
\(459\) | 1.98683 | + | 2.54302i | 0.0927372 | + | 0.118698i | ||||
\(460\) | −6.34871 | − | 6.79466i | −0.296010 | − | 0.316803i | ||||
\(461\) | −6.69779 | − | 3.56128i | −0.311947 | − | 0.165865i | 0.306115 | − | 0.951995i | \(-0.400971\pi\) |
−0.618062 | + | 0.786129i | \(0.712082\pi\) | |||||||
\(462\) | −1.85496 | − | 1.98920i | −0.0863005 | − | 0.0925460i | ||||
\(463\) | 23.2619 | − | 1.21910i | 1.08107 | − | 0.0566566i | 0.496530 | − | 0.868020i | \(-0.334607\pi\) |
0.584542 | + | 0.811363i | \(0.301274\pi\) | |||||||
\(464\) | 4.17075 | + | 4.63209i | 0.193622 | + | 0.215039i | ||||
\(465\) | −24.4537 | − | 32.3844i | −1.13401 | − | 1.50179i | ||||
\(466\) | 9.21171 | − | 14.7418i | 0.426724 | − | 0.682901i | ||||
\(467\) | 15.4529 | + | 12.5135i | 0.715077 | + | 0.579058i | 0.916302 | − | 0.400487i | \(-0.131159\pi\) |
−0.201226 | + | 0.979545i | \(0.564492\pi\) | |||||||
\(468\) | −2.56621 | − | 0.687613i | −0.118623 | − | 0.0317849i | ||||
\(469\) | −5.24376 | + | 1.50362i | −0.242134 | + | 0.0694309i | ||||
\(470\) | −11.2568 | + | 27.9410i | −0.519236 | + | 1.28882i | ||||
\(471\) | −41.5451 | − | 20.2629i | −1.91430 | − | 0.933666i | ||||
\(472\) | 12.3465 | − | 6.84376i | 0.568292 | − | 0.315009i | ||||
\(473\) | −8.30032 | − | 1.91628i | −0.381649 | − | 0.0881106i | ||||
\(474\) | 26.8539 | 1.23344 | ||||||||
\(475\) | 6.71766 | − | 20.7334i | 0.308227 | − | 0.951313i | ||||
\(476\) | 0.620016 | 0.0284184 | ||||||||
\(477\) | 1.85690 | + | 0.428698i | 0.0850214 | + | 0.0196287i | ||||
\(478\) | 13.3990 | − | 7.42718i | 0.612855 | − | 0.339711i | ||||
\(479\) | 0.287259 | + | 0.140105i | 0.0131252 | + | 0.00640158i | 0.444922 | − | 0.895569i | \(-0.353231\pi\) |
−0.431797 | + | 0.901971i | \(0.642120\pi\) | |||||||
\(480\) | −4.40862 | − | 0.303898i | −0.201225 | − | 0.0138710i | ||||
\(481\) | 28.4099 | − | 8.14640i | 1.29538 | − | 0.371444i | ||||
\(482\) | 19.8085 | + | 5.30766i | 0.902250 | + | 0.241757i | ||||
\(483\) | −5.07908 | − | 4.11296i | −0.231106 | − | 0.187146i | ||||
\(484\) | 4.24181 | − | 6.78831i | 0.192810 | − | 0.308560i | ||||
\(485\) | −0.663256 | − | 35.9589i | −0.0301169 | − | 1.63281i | ||||
\(486\) | −6.10116 | − | 6.77602i | −0.276754 | − | 0.307367i | ||||
\(487\) | −33.1416 | + | 1.73688i | −1.50179 | + | 0.0787054i | −0.785396 | − | 0.618993i | \(-0.787541\pi\) |
−0.716391 | + | 0.697699i | \(0.754207\pi\) | |||||||
\(488\) | −4.87161 | − | 5.22417i | −0.220528 | − | 0.236487i | ||||
\(489\) | −13.2219 | − | 7.03021i | −0.597915 | − | 0.317917i | ||||
\(490\) | 13.9796 | + | 2.70300i | 0.631533 | + | 0.122109i | ||||
\(491\) | −24.6689 | − | 31.5747i | −1.11329 | − | 1.42495i | −0.893308 | − | 0.449445i | \(-0.851622\pi\) |
−0.219984 | − | 0.975504i | \(-0.570600\pi\) | |||||||
\(492\) | −1.83962 | + | 1.59916i | −0.0829365 | + | 0.0720956i | ||||
\(493\) | 3.43647 | − | 3.43647i | 0.154771 | − | 0.154771i | ||||
\(494\) | 7.86070 | + | 10.0851i | 0.353670 | + | 0.453750i | ||||
\(495\) | 2.60233 | − | 2.34782i | 0.116966 | − | 0.105526i | ||||
\(496\) | 8.91011 | − | 2.22154i | 0.400076 | − | 0.0997501i | ||||
\(497\) | 1.77945 | + | 3.21021i | 0.0798193 | + | 0.143998i | ||||
\(498\) | 6.70996 | + | 8.90442i | 0.300681 | + | 0.399017i | ||||
\(499\) | −19.2953 | − | 3.40228i | −0.863775 | − | 0.152307i | −0.275829 | − | 0.961207i | \(-0.588952\pi\) |
−0.587946 | + | 0.808900i | \(0.700063\pi\) | |||||||
\(500\) | 3.79270 | − | 10.5174i | 0.169615 | − | 0.470352i | ||||
\(501\) | 9.79632 | + | 16.9677i | 0.437667 | + | 0.758062i | ||||
\(502\) | 0.539533 | − | 10.2949i | 0.0240805 | − | 0.459484i | ||||
\(503\) | 8.88210 | + | 7.72109i | 0.396033 | + | 0.344266i | 0.831091 | − | 0.556136i | \(-0.187717\pi\) |
−0.435058 | + | 0.900402i | \(0.643272\pi\) | |||||||
\(504\) | −0.718432 | + | 0.0502377i | −0.0320015 | + | 0.00223776i | ||||
\(505\) | 34.1292 | − | 7.28968i | 1.51873 | − | 0.324387i | ||||
\(506\) | −2.92749 | + | 6.57524i | −0.130143 | + | 0.292305i | ||||
\(507\) | −3.67054 | − | 7.87149i | −0.163014 | − | 0.349585i | ||||
\(508\) | −10.9950 | − | 3.78588i | −0.487823 | − | 0.167971i | ||||
\(509\) | 30.9389 | − | 16.4505i | 1.37134 | − | 0.729156i | 0.389891 | − | 0.920861i | \(-0.372513\pi\) |
0.981453 | + | 0.191705i | \(0.0614017\pi\) | |||||||
\(510\) | −0.0567241 | + | 3.44507i | −0.00251178 | + | 0.152550i | ||||
\(511\) | −4.00979 | + | 2.50559i | −0.177382 | + | 0.110841i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | 1.55176 | + | 17.9746i | 0.0685120 | + | 0.793597i | ||||
\(514\) | 7.94155 | + | 2.58037i | 0.350287 | + | 0.113815i | ||||
\(515\) | 3.54922 | + | 18.1632i | 0.156397 | + | 0.800365i | ||||
\(516\) | −7.66523 | + | 5.98874i | −0.337443 | + | 0.263639i | ||||
\(517\) | 23.3119 | − | 0.406910i | 1.02525 | − | 0.0178959i | ||||
\(518\) | 6.56280 | − | 4.59532i | 0.288353 | − | 0.201907i | ||||
\(519\) | 2.29475 | + | 8.00274i | 0.100728 | + | 0.351281i | ||||
\(520\) | 3.86079 | + | 5.30288i | 0.169307 | + | 0.232547i | ||||
\(521\) | 9.14918 | + | 20.5494i | 0.400833 | + | 0.900285i | 0.995361 | + | 0.0962106i | \(0.0306722\pi\) |
−0.594528 | + | 0.804075i | \(0.702661\pi\) | |||||||
\(522\) | −3.70350 | + | 4.26039i | −0.162098 | + | 0.186472i | ||||
\(523\) | −20.9246 | − | 8.88195i | −0.914967 | − | 0.388380i | −0.118425 | − | 0.992963i | \(-0.537784\pi\) |
−0.796542 | + | 0.604583i | \(0.793340\pi\) | |||||||
\(524\) | 5.66202 | + | 3.26897i | 0.247347 | + | 0.142806i | ||||
\(525\) | 1.61850 | − | 7.68922i | 0.0706370 | − | 0.335585i | ||||
\(526\) | 6.20134 | − | 17.0380i | 0.270391 | − | 0.742893i | ||||
\(527\) | −2.09334 | − | 6.84699i | −0.0911871 | − | 0.298260i | ||||
\(528\) | 1.11356 | + | 3.23402i | 0.0484615 | + | 0.140743i | ||||
\(529\) | 1.57259 | − | 5.48428i | 0.0683736 | − | 0.238447i | ||||
\(530\) | −2.90050 | − | 3.70491i | −0.125990 | − | 0.160931i | ||||
\(531\) | 7.51464 | + | 10.3430i | 0.326108 | + | 0.448849i | ||||
\(532\) | 2.90484 | + | 1.89117i | 0.125941 | + | 0.0819928i | ||||
\(533\) | 3.57357 | + | 0.565999i | 0.154789 | + | 0.0245161i | ||||
\(534\) | 3.07981 | − | 7.62279i | 0.133276 | − | 0.329870i | ||||
\(535\) | 0.478536 | + | 1.55970i | 0.0206889 | + | 0.0674316i | ||||
\(536\) | 6.79321 | + | 0.954724i | 0.293422 | + | 0.0412378i | ||||
\(537\) | −23.8904 | + | 31.7036i | −1.03095 | + | 1.36811i | ||||
\(538\) | −8.88453 | + | 8.28495i | −0.383039 | + | 0.357190i | ||||
\(539\) | −2.29131 | − | 10.7797i | −0.0986935 | − | 0.464317i | ||||
\(540\) | 0.493517 | + | 9.24189i | 0.0212376 | + | 0.397708i | ||||
\(541\) | −1.07051 | − | 0.668929i | −0.0460249 | − | 0.0287595i | 0.506712 | − | 0.862116i | \(-0.330861\pi\) |
−0.552737 | + | 0.833356i | \(0.686416\pi\) | |||||||
\(542\) | 21.5495 | − | 12.9483i | 0.925632 | − | 0.556176i | ||||
\(543\) | 2.13950 | − | 0.573278i | 0.0918149 | − | 0.0246017i | ||||
\(544\) | −0.712286 | − | 0.317130i | −0.0305390 | − | 0.0135968i | ||||
\(545\) | −5.48840 | + | 4.61458i | −0.235097 | + | 0.197667i | ||||
\(546\) | 3.20243 | + | 3.31621i | 0.137051 | + | 0.141921i | ||||
\(547\) | −16.4154 | + | 5.65229i | −0.701874 | + | 0.241674i | −0.653250 | − | 0.757143i | \(-0.726595\pi\) |
−0.0486241 | + | 0.998817i | \(0.515484\pi\) | |||||||
\(548\) | −2.47933 | + | 2.65876i | −0.105912 | + | 0.113577i | ||||
\(549\) | 4.15837 | − | 4.95575i | 0.177475 | − | 0.211506i | ||||
\(550\) | −8.64079 | + | 0.469993i | −0.368445 | + | 0.0200406i | ||||
\(551\) | 26.5822 | − | 5.61830i | 1.13244 | − | 0.239348i | ||||
\(552\) | 3.73122 | + | 7.32293i | 0.158811 | + | 0.311685i | ||||
\(553\) | −9.26198 | − | 5.56516i | −0.393859 | − | 0.236655i | ||||
\(554\) | 9.36879 | + | 2.68646i | 0.398042 | + | 0.114137i | ||||
\(555\) | 24.9331 | + | 36.8860i | 1.05835 | + | 1.56573i | ||||
\(556\) | 1.40365 | + | 2.87791i | 0.0595281 | + | 0.122051i | ||||
\(557\) | 19.0733 | − | 8.89402i | 0.808161 | − | 0.376852i | 0.0257926 | − | 0.999667i | \(-0.491789\pi\) |
0.782369 | + | 0.622815i | \(0.214011\pi\) | |||||||
\(558\) | 2.98040 | + | 7.76421i | 0.126170 | + | 0.328685i | ||||
\(559\) | 14.1232 | + | 3.00197i | 0.597346 | + | 0.126970i | ||||
\(560\) | 1.45757 | + | 1.01845i | 0.0615935 | + | 0.0430375i | ||||
\(561\) | 2.47265 | − | 0.999015i | 0.104395 | − | 0.0421785i | ||||
\(562\) | −2.69085 | + | 1.74746i | −0.113506 | + | 0.0737120i | ||||
\(563\) | −1.66835 | − | 31.8341i | −0.0703127 | − | 1.34165i | −0.774925 | − | 0.632053i | \(-0.782212\pi\) |
0.704612 | − | 0.709592i | \(-0.251121\pi\) | |||||||
\(564\) | 16.3911 | − | 20.9796i | 0.690189 | − | 0.883401i | ||||
\(565\) | −18.9312 | + | 1.67514i | −0.796440 | + | 0.0704736i | ||||
\(566\) | −10.3626 | − | 19.4892i | −0.435571 | − | 0.819191i | ||||
\(567\) | 1.65339 | + | 8.50595i | 0.0694358 | + | 0.357216i | ||||
\(568\) | −0.402283 | − | 4.59812i | −0.0168794 | − | 0.192933i | ||||
\(569\) | 25.6459 | − | 18.6328i | 1.07513 | − | 0.781128i | 0.0983028 | − | 0.995157i | \(-0.468659\pi\) |
0.976827 | + | 0.214029i | \(0.0686586\pi\) | |||||||
\(570\) | −10.7739 | + | 15.9675i | −0.451270 | + | 0.668805i | ||||
\(571\) | 17.9401 | + | 13.0343i | 0.750770 | + | 0.545467i | 0.896066 | − | 0.443922i | \(-0.146413\pi\) |
−0.145295 | + | 0.989388i | \(0.546413\pi\) | |||||||
\(572\) | 2.61485 | − | 4.35184i | 0.109332 | − | 0.181959i | ||||
\(573\) | 22.5859 | + | 21.0616i | 0.943537 | + | 0.879863i | ||||
\(574\) | 0.965898 | − | 0.170314i | 0.0403158 | − | 0.00710876i | ||||
\(575\) | −20.4035 | + | 4.00796i | −0.850886 | + | 0.167144i | ||||
\(576\) | 0.851044 | + | 0.309755i | 0.0354602 | + | 0.0129064i | ||||
\(577\) | −13.0698 | + | 20.1258i | −0.544104 | + | 0.837847i | −0.998600 | − | 0.0529019i | \(-0.983153\pi\) |
0.454495 | + | 0.890749i | \(0.349820\pi\) | |||||||
\(578\) | 5.87439 | − | 15.3033i | 0.244343 | − | 0.636534i | ||||
\(579\) | −1.51594 | − | 21.6789i | −0.0630001 | − | 0.900944i | ||||
\(580\) | 13.7235 | − | 2.43382i | 0.569836 | − | 0.101059i | ||||
\(581\) | −0.468946 | − | 4.46173i | −0.0194552 | − | 0.185104i | ||||
\(582\) | −8.22694 | + | 30.7034i | −0.341018 | + | 1.27270i | ||||
\(583\) | −1.76560 | + | 3.18523i | −0.0731239 | + | 0.131919i | ||||
\(584\) | 5.88809 | − | 0.827517i | 0.243651 | − | 0.0342429i | ||||
\(585\) | −4.34070 | + | 4.05580i | −0.179466 | + | 0.167687i | ||||
\(586\) | 0.182046 | + | 5.21312i | 0.00752025 | + | 0.215352i | ||||
\(587\) | −13.6123 | − | 32.0686i | −0.561840 | − | 1.32361i | −0.920719 | − | 0.390227i | \(-0.872396\pi\) |
0.358879 | − | 0.933384i | \(-0.383159\pi\) | |||||||
\(588\) | −11.2126 | − | 5.71312i | −0.462401 | − | 0.235605i | ||||
\(589\) | 11.0772 | − | 38.4640i | 0.456428 | − | 1.58488i | ||||
\(590\) | 1.62080 | − | 31.5235i | 0.0667274 | − | 1.29780i | ||||
\(591\) | 38.4178 | + | 15.5218i | 1.58030 | + | 0.638481i | ||||
\(592\) | −9.88991 | + | 1.92240i | −0.406473 | + | 0.0790103i | ||||
\(593\) | 3.20024 | − | 4.57042i | 0.131418 | − | 0.187685i | −0.748050 | − | 0.663643i | \(-0.769010\pi\) |
0.879468 | + | 0.475958i | \(0.157899\pi\) | |||||||
\(594\) | 6.43842 | − | 3.14023i | 0.264172 | − | 0.128845i | ||||
\(595\) | 0.733516 | − | 1.17646i | 0.0300712 | − | 0.0482301i | ||||
\(596\) | −1.99100 | + | 18.9431i | −0.0815545 | + | 0.775939i | ||||
\(597\) | −21.8595 | − | 8.39109i | −0.894651 | − | 0.343424i | ||||
\(598\) | 4.76668 | − | 11.2296i | 0.194924 | − | 0.459213i | ||||
\(599\) | −19.4560 | + | 16.3255i | −0.794950 | + | 0.667042i | −0.946965 | − | 0.321336i | \(-0.895868\pi\) |
0.152016 | + | 0.988378i | \(0.451424\pi\) | |||||||
\(600\) | −5.79229 | + | 8.00568i | −0.236469 | + | 0.326830i | ||||
\(601\) | 2.41849 | − | 1.39632i | 0.0986524 | − | 0.0569570i | −0.449862 | − | 0.893098i | \(-0.648527\pi\) |
0.548515 | + | 0.836141i | \(0.315194\pi\) | |||||||
\(602\) | 3.88486 | − | 0.477001i | 0.158335 | − | 0.0194411i | ||||
\(603\) | −0.108429 | + | 6.21187i | −0.00441556 | + | 0.252967i | ||||
\(604\) | −7.01510 | + | 14.3831i | −0.285440 | + | 0.585239i | ||||
\(605\) | −7.86228 | − | 16.0797i | −0.319647 | − | 0.653731i | ||||
\(606\) | −30.7692 | − | 2.15159i | −1.24991 | − | 0.0874024i | ||||
\(607\) | −16.3002 | − | 16.3002i | −0.661606 | − | 0.661606i | 0.294152 | − | 0.955759i | \(-0.404963\pi\) |
−0.955759 | + | 0.294152i | \(0.904963\pi\) | |||||||
\(608\) | −2.36982 | − | 3.65841i | −0.0961091 | − | 0.148368i | ||||
\(609\) | 9.31613 | − | 3.02700i | 0.377509 | − | 0.122660i | ||||
\(610\) | −15.6761 | + | 3.06322i | −0.634706 | + | 0.124026i | ||||
\(611\) | −39.4944 | + | 1.37917i | −1.59777 | + | 0.0557954i | ||||
\(612\) | 0.206455 | − | 0.675285i | 0.00834546 | − | 0.0272968i | ||||
\(613\) | 10.5974 | + | 7.98570i | 0.428024 | + | 0.322539i | 0.793817 | − | 0.608157i | \(-0.208091\pi\) |
−0.365793 | + | 0.930696i | \(0.619202\pi\) | |||||||
\(614\) | −12.2269 | − | 9.55267i | −0.493436 | − | 0.385514i | ||||
\(615\) | 0.857967 | + | 5.38251i | 0.0345966 | + | 0.217044i | ||||
\(616\) | 0.286143 | − | 1.34620i | 0.0115290 | − | 0.0542398i | ||||
\(617\) | 6.66292 | + | 11.0890i | 0.268239 | + | 0.446425i | 0.961714 | − | 0.274056i | \(-0.0883655\pi\) |
−0.693475 | + | 0.720481i | \(0.743921\pi\) | |||||||
\(618\) | 1.42557 | − | 16.2943i | 0.0573447 | − | 0.655453i | ||||
\(619\) | −28.7500 | + | 3.02175i | −1.15556 | + | 0.121454i | −0.662859 | − | 0.748744i | \(-0.730657\pi\) |
−0.492701 | + | 0.870199i | \(0.663990\pi\) | |||||||
\(620\) | 6.32589 | − | 19.5348i | 0.254054 | − | 0.784538i | ||||
\(621\) | 14.2700 | − | 9.62526i | 0.572637 | − | 0.386248i | ||||
\(622\) | −1.57275 | − | 0.0274524i | −0.0630615 | − | 0.00110074i | ||||
\(623\) | −2.64197 | + | 1.99087i | −0.105848 | + | 0.0797625i | ||||
\(624\) | −1.98281 | − | 5.44772i | −0.0793759 | − | 0.218083i | ||||
\(625\) | −15.4694 | − | 19.6392i | −0.618776 | − | 0.785568i | ||||
\(626\) | 22.7307i | 0.908503i | ||||||||
\(627\) | 14.6318 | + | 2.86159i | 0.584339 | + | 0.114281i | ||||
\(628\) | −3.65885 | − | 23.1011i | −0.146004 | − | 0.921834i | ||||
\(629\) | 1.90040 | + | 7.62209i | 0.0757740 | + | 0.303913i | ||||
\(630\) | −0.754623 | + | 1.42263i | −0.0300649 | + | 0.0566791i | ||||
\(631\) | −2.46109 | − | 2.37664i | −0.0979743 | − | 0.0946127i | 0.644059 | − | 0.764976i | \(-0.277249\pi\) |
−0.742033 | + | 0.670363i | \(0.766138\pi\) | |||||||
\(632\) | 7.79382 | + | 11.1307i | 0.310022 | + | 0.442757i | ||||
\(633\) | 45.8072 | + | 25.3913i | 1.82067 | + | 1.00922i | ||||
\(634\) | −0.174532 | − | 0.157149i | −0.00693155 | − | 0.00624120i | ||||
\(635\) | −20.1913 | + | 16.3837i | −0.801266 | + | 0.650166i | ||||
\(636\) | 1.55783 | + | 3.85576i | 0.0617720 | + | 0.152891i | ||||
\(637\) | 4.20193 | + | 18.2006i | 0.166487 | + | 0.721133i | ||||
\(638\) | −5.87539 | − | 9.04731i | −0.232609 | − | 0.358187i | ||||
\(639\) | 4.08890 | − | 0.869123i | 0.161754 | − | 0.0343820i | ||||
\(640\) | −1.15356 | − | 1.91554i | −0.0455983 | − | 0.0757185i | ||||
\(641\) | −3.43588 | − | 24.4476i | −0.135709 | − | 0.965621i | −0.932450 | − | 0.361299i | \(-0.882333\pi\) |
0.796741 | − | 0.604321i | \(-0.206556\pi\) | |||||||
\(642\) | −0.0251648 | − | 1.44169i | −0.000993175 | − | 0.0568990i | ||||
\(643\) | −13.1912 | − | 6.15117i | −0.520211 | − | 0.242578i | 0.144734 | − | 0.989471i | \(-0.453767\pi\) |
−0.664945 | + | 0.746892i | \(0.731545\pi\) | |||||||
\(644\) | 0.230685 | − | 3.29895i | 0.00909027 | − | 0.129997i | ||||
\(645\) | 2.29500 | + | 21.6295i | 0.0903654 | + | 0.851662i | ||||
\(646\) | −2.75183 | + | 1.99449i | −0.108269 | + | 0.0784722i | ||||
\(647\) | 28.0923 | − | 4.44939i | 1.10442 | − | 0.174923i | 0.422511 | − | 0.906358i | \(-0.361149\pi\) |
0.681912 | + | 0.731434i | \(0.261149\pi\) | |||||||
\(648\) | 2.45124 | − | 10.6175i | 0.0962937 | − | 0.417094i | ||||
\(649\) | −22.9580 | + | 8.35603i | −0.901180 | + | 0.328003i | ||||
\(650\) | 14.6296 | − | 1.05210i | 0.573819 | − | 0.0412666i | ||||
\(651\) | 2.50597 | − | 14.2120i | 0.0982166 | − | 0.557014i | ||||
\(652\) | −0.923434 | − | 7.52077i | −0.0361645 | − | 0.294536i | ||||
\(653\) | −15.1080 | + | 12.2342i | −0.591220 | + | 0.478761i | −0.877625 | − | 0.479348i | \(-0.840873\pi\) |
0.286405 | + | 0.958109i | \(0.407540\pi\) | |||||||
\(654\) | 5.78956 | − | 2.57768i | 0.226390 | − | 0.100795i | ||||
\(655\) | 12.9013 | − | 6.87610i | 0.504094 | − | 0.268672i | ||||
\(656\) | −1.19675 | − | 0.298384i | −0.0467254 | − | 0.0116500i | ||||
\(657\) | 1.39375 | + | 5.20154i | 0.0543753 | + | 0.202931i | ||||
\(658\) | −10.0011 | + | 3.83907i | −0.389884 | + | 0.149663i | ||||
\(659\) | −0.812159 | + | 23.2572i | −0.0316372 | + | 0.905971i | 0.875016 | + | 0.484094i | \(0.160851\pi\) |
−0.906653 | + | 0.421877i | \(0.861371\pi\) | |||||||
\(660\) | 7.45384 | + | 1.71309i | 0.290140 | + | 0.0666819i | ||||
\(661\) | 3.78376 | − | 26.9229i | 0.147171 | − | 1.04718i | −0.766941 | − | 0.641717i | \(-0.778222\pi\) |
0.914112 | − | 0.405461i | \(-0.132889\pi\) | |||||||
\(662\) | 27.9495 | + | 3.43177i | 1.08629 | + | 0.133379i | ||||
\(663\) | −4.16083 | + | 1.76617i | −0.161593 | + | 0.0685922i | ||||
\(664\) | −1.74338 | + | 5.36557i | −0.0676563 | + | 0.208225i | ||||
\(665\) | 7.02504 | − | 3.27446i | 0.272419 | − | 0.126978i | ||||
\(666\) | −2.81964 | − | 8.67797i | −0.109259 | − | 0.336265i | ||||
\(667\) | −17.0060 | − | 19.5632i | −0.658476 | − | 0.757490i | ||||
\(668\) | −4.18980 | + | 8.98506i | −0.162108 | + | 0.347643i | ||||
\(669\) | −0.530477 | + | 0.549325i | −0.0205094 | + | 0.0212381i | ||||
\(670\) | 9.84832 | − | 11.7604i | 0.380474 | − | 0.454343i | ||||
\(671\) | 6.91315 | + | 10.2492i | 0.266879 | + | 0.395665i | ||||
\(672\) | −0.989004 | − | 1.22132i | −0.0381516 | − | 0.0471134i | ||||
\(673\) | −43.5968 | − | 2.28481i | −1.68053 | − | 0.0880730i | −0.811986 | − | 0.583678i | \(-0.801613\pi\) |
−0.868548 | + | 0.495604i | \(0.834947\pi\) | |||||||
\(674\) | −9.66611 | − | 11.5196i | −0.372325 | − | 0.443719i | ||||
\(675\) | 18.1200 | + | 9.99726i | 0.697440 | + | 0.384795i | ||||
\(676\) | 2.19737 | − | 3.80596i | 0.0845144 | − | 0.146383i | ||||
\(677\) | 8.24445 | + | 5.35401i | 0.316860 | + | 0.205771i | 0.693263 | − | 0.720685i | \(-0.256172\pi\) |
−0.376403 | + | 0.926456i | \(0.622839\pi\) | |||||||
\(678\) | 16.4884 | + | 3.20503i | 0.633235 | + | 0.123088i | ||||
\(679\) | 9.20042 | − | 8.88474i | 0.353080 | − | 0.340965i | ||||
\(680\) | −1.44442 | + | 0.976354i | −0.0553910 | + | 0.0374415i | ||||
\(681\) | 3.51509 | − | 5.21134i | 0.134699 | − | 0.199699i | ||||
\(682\) | −15.8325 | + | 1.38516i | −0.606256 | + | 0.0530405i | ||||
\(683\) | −2.02159 | + | 12.7638i | −0.0773538 | + | 0.488393i | 0.918348 | + | 0.395774i | \(0.129524\pi\) |
−0.995702 | + | 0.0926185i | \(0.970476\pi\) | |||||||
\(684\) | 3.02702 | − | 2.53405i | 0.115741 | − | 0.0968918i | ||||
\(685\) | 2.11170 | + | 7.84991i | 0.0806841 | + | 0.299930i | ||||
\(686\) | 5.63305 | + | 9.01476i | 0.215071 | + | 0.344185i | ||||
\(687\) | −1.62581 | + | 13.2412i | −0.0620287 | + | 0.505183i | ||||
\(688\) | −4.70698 | − | 1.43907i | −0.179452 | − | 0.0548639i | ||||
\(689\) | 2.89793 | − | 5.45022i | 0.110402 | − | 0.207637i | ||||
\(690\) | 18.3092 | + | 1.58360i | 0.697021 | + | 0.0602865i | ||||
\(691\) | −15.3673 | + | 17.0671i | −0.584599 | + | 0.649263i | −0.960789 | − | 0.277280i | \(-0.910567\pi\) |
0.376191 | + | 0.926542i | \(0.377234\pi\) | |||||||
\(692\) | −2.65107 | + | 3.27380i | −0.100779 | + | 0.124451i | ||||
\(693\) | 1.24169 | + | 0.108634i | 0.0471680 | + | 0.00412667i | ||||
\(694\) | −6.37435 | + | 25.5661i | −0.241967 | + | 0.970476i | ||||
\(695\) | 7.12134 | + | 0.741359i | 0.270128 | + | 0.0281213i | ||||
\(696\) | −12.2508 | − | 1.28761i | −0.464366 | − | 0.0488068i | ||||
\(697\) | −0.183495 | + | 0.944000i | −0.00695037 | + | 0.0357566i | ||||
\(698\) | −21.1912 | + | 6.47881i | −0.802099 | + | 0.245226i | ||||
\(699\) | 5.96552 | + | 33.8321i | 0.225637 | + | 1.27965i | ||||
\(700\) | 3.65687 | − | 1.56080i | 0.138217 | − | 0.0589925i | ||||
\(701\) | 20.3456 | + | 17.0720i | 0.768443 | + | 0.644801i | 0.940310 | − | 0.340320i | \(-0.110535\pi\) |
−0.171866 | + | 0.985120i | \(0.554980\pi\) | |||||||
\(702\) | −10.8182 | + | 5.51217i | −0.408308 | + | 0.208043i | ||||
\(703\) | −14.3453 | + | 41.5069i | −0.541045 | + | 1.56546i | ||||
\(704\) | −1.01729 | + | 1.40018i | −0.0383405 | + | 0.0527711i | ||||
\(705\) | −20.4165 | − | 55.9216i | −0.768929 | − | 2.10613i | ||||
\(706\) | −2.49015 | − | 1.67963i | −0.0937181 | − | 0.0632137i | ||||
\(707\) | 10.1665 | + | 7.11865i | 0.382350 | + | 0.267725i | ||||
\(708\) | −9.08265 | + | 26.3779i | −0.341347 | + | 0.991343i | ||||
\(709\) | −47.9725 | − | 1.67524i | −1.80164 | − | 0.0629148i | −0.885708 | − | 0.464242i | \(-0.846327\pi\) |
−0.915935 | + | 0.401327i | \(0.868549\pi\) | |||||||
\(710\) | −9.20069 | − | 4.67653i | −0.345296 | − | 0.175507i | ||||
\(711\) | −9.14532 | + | 8.23449i | −0.342976 | + | 0.308817i | ||||
\(712\) | 4.05345 | − | 0.935813i | 0.151909 | − | 0.0350711i | ||||
\(713\) | −37.2100 | + | 8.59060i | −1.39353 | + | 0.321721i | ||||
\(714\) | −0.910592 | + | 0.819901i | −0.0340781 | + | 0.0306840i | ||||
\(715\) | −5.16394 | − | 10.1101i | −0.193120 | − | 0.378095i | ||||
\(716\) | −20.0747 | − | 0.701023i | −0.750226 | − | 0.0261985i | ||||
\(717\) | −9.85694 | + | 28.6266i | −0.368114 | + | 1.06908i | ||||
\(718\) | 11.5300 | + | 8.07341i | 0.430297 | + | 0.301297i | ||||
\(719\) | −3.73186 | − | 2.51717i | −0.139175 | − | 0.0938746i | 0.487632 | − | 0.873049i | \(-0.337861\pi\) |
−0.626807 | + | 0.779175i | \(0.715639\pi\) | |||||||
\(720\) | 1.59458 | − | 1.24837i | 0.0594266 | − | 0.0465239i | ||||
\(721\) | −3.86849 | + | 5.32452i | −0.144070 | + | 0.198295i | ||||
\(722\) | −18.9762 | + | 0.950782i | −0.706221 | + | 0.0353844i | ||||
\(723\) | −36.1106 | + | 18.3993i | −1.34297 | + | 0.684277i | ||||
\(724\) | 0.858570 | + | 0.720426i | 0.0319085 | + | 0.0267744i | ||||
\(725\) | 11.6176 | − | 28.9191i | 0.431466 | − | 1.07403i | ||||
\(726\) | 2.74700 | + | 15.5790i | 0.101951 | + | 0.578192i | ||||
\(727\) | −9.33511 | + | 2.85403i | −0.346220 | + | 0.105850i | −0.460652 | − | 0.887581i | \(-0.652384\pi\) |
0.114432 | + | 0.993431i | \(0.463495\pi\) | |||||||
\(728\) | −0.445102 | + | 2.28985i | −0.0164966 | + | 0.0848675i | ||||
\(729\) | −14.5902 | − | 1.53349i | −0.540377 | − | 0.0567959i | ||||
\(730\) | 5.39577 | − | 12.1514i | 0.199707 | − | 0.449745i | ||||
\(731\) | −0.928422 | + | 3.72370i | −0.0343389 | + | 0.137726i | ||||
\(732\) | 14.0631 | + | 1.23036i | 0.519787 | + | 0.0454755i | ||||
\(733\) | 6.28081 | − | 7.75616i | 0.231987 | − | 0.286480i | −0.647838 | − | 0.761778i | \(-0.724326\pi\) |
0.879825 | + | 0.475298i | \(0.157660\pi\) | |||||||
\(734\) | −13.4679 | + | 14.9576i | −0.497110 | + | 0.552096i | ||||
\(735\) | −24.1056 | + | 14.5166i | −0.889150 | + | 0.535453i | ||||
\(736\) | −1.95239 | + | 3.67191i | −0.0719659 | + | 0.135348i | ||||
\(737\) | −11.3539 | − | 3.47123i | −0.418225 | − | 0.127864i | ||||
\(738\) | 0.136133 | − | 1.10871i | 0.00501111 | − | 0.0408122i | ||||
\(739\) | −24.5921 | − | 39.3556i | −0.904635 | − | 1.44772i | −0.894147 | − | 0.447774i | \(-0.852217\pi\) |
−0.0104887 | − | 0.999945i | \(-0.503339\pi\) | |||||||
\(740\) | −8.05265 | + | 21.0401i | −0.296021 | + | 0.773448i | ||||
\(741\) | −24.8811 | − | 4.41669i | −0.914029 | − | 0.162251i | ||||
\(742\) | 0.261763 | − | 1.65271i | 0.00960962 | − | 0.0606728i | ||||
\(743\) | −30.7379 | + | 2.68922i | −1.12767 | + | 0.0986579i | −0.635685 | − | 0.771948i | \(-0.719282\pi\) |
−0.491980 | + | 0.870606i | \(0.663727\pi\) | |||||||
\(744\) | −10.1482 | + | 15.0453i | −0.372050 | + | 0.551587i | ||||
\(745\) | 33.5884 | + | 26.1886i | 1.23058 | + | 0.959477i | ||||
\(746\) | 7.48470 | − | 7.22789i | 0.274034 | − | 0.264632i | ||||
\(747\) | −5.01560 | − | 0.974933i | −0.183511 | − | 0.0356709i | ||||
\(748\) | 1.13172 | + | 0.734951i | 0.0413800 | + | 0.0268725i | ||||
\(749\) | −0.290095 | + | 0.502458i | −0.0105998 | + | 0.0183594i | ||||
\(750\) | 8.33787 | + | 20.4619i | 0.304456 | + | 0.747162i | ||||
\(751\) | 26.0271 | + | 31.0179i | 0.949741 | + | 1.13186i | 0.991154 | + | 0.132716i | \(0.0423697\pi\) |
−0.0414127 | + | 0.999142i | \(0.513186\pi\) | |||||||
\(752\) | 13.4531 | + | 0.705047i | 0.490584 | + | 0.0257104i | ||||
\(753\) | 12.8214 | + | 15.8332i | 0.467240 | + | 0.576993i | ||||
\(754\) | 10.2246 | + | 15.1586i | 0.372358 | + | 0.552044i | ||||
\(755\) | 18.9921 | + | 30.3269i | 0.691194 | + | 1.10371i | ||||
\(756\) | −2.28636 | + | 2.36759i | −0.0831540 | + | 0.0861085i | ||||
\(757\) | −8.84847 | + | 18.9756i | −0.321603 | + | 0.689680i | −0.998942 | − | 0.0459910i | \(-0.985355\pi\) |
0.677339 | + | 0.735671i | \(0.263133\pi\) | |||||||
\(758\) | 19.3259 | + | 22.2319i | 0.701947 | + | 0.807497i | ||||
\(759\) | −4.39553 | − | 13.5281i | −0.159548 | − | 0.491037i | ||||
\(760\) | −9.74534 | + | 0.168551i | −0.353501 | + | 0.00611400i | ||||
\(761\) | −5.47031 | + | 16.8359i | −0.198298 | + | 0.610300i | 0.801624 | + | 0.597829i | \(0.203970\pi\) |
−0.999922 | + | 0.0124710i | \(0.996030\pi\) | |||||||
\(762\) | 21.1543 | − | 8.97945i | 0.766338 | − | 0.325291i | ||||
\(763\) | −2.53103 | − | 0.310771i | −0.0916294 | − | 0.0112507i | ||||
\(764\) | −2.17479 | + | 15.4744i | −0.0786811 | + | 0.559845i | ||||
\(765\) | −1.03708 | − | 1.19064i | −0.0374957 | − | 0.0430478i | ||||
\(766\) | 0.197554 | − | 5.65720i | 0.00713791 | − | 0.204403i | ||||
\(767\) | 38.6596 | − | 14.8400i | 1.39592 | − | 0.535842i | ||||
\(768\) | 0.511498 | + | 1.90893i | 0.0184571 | + | 0.0688828i | ||||
\(769\) | 37.2886 | + | 9.29708i | 1.34466 | + | 0.335261i | 0.846761 | − | 0.531973i | \(-0.178549\pi\) |
0.497899 | + | 0.867235i | \(0.334105\pi\) | |||||||
\(770\) | −2.21584 | − | 2.13557i | −0.0798532 | − | 0.0769607i | ||||
\(771\) | −15.0757 | + | 6.71212i | −0.542937 | + | 0.241731i | ||||
\(772\) | 8.54577 | − | 6.92023i | 0.307569 | − | 0.249065i | ||||
\(773\) | −2.03433 | − | 16.5682i | −0.0731696 | − | 0.595918i | −0.983352 | − | 0.181711i | \(-0.941837\pi\) |
0.910182 | − | 0.414208i | \(-0.135941\pi\) | |||||||
\(774\) | 0.774074 | − | 4.38999i | 0.0278235 | − | 0.157795i | ||||
\(775\) | −29.5828 | − | 35.1140i | −1.06264 | − | 1.26133i | ||||
\(776\) | −15.1140 | + | 5.50106i | −0.542562 | + | 0.197477i | ||||
\(777\) | −3.56172 | + | 15.4275i | −0.127776 | + | 0.553459i | ||||
\(778\) | −24.6751 | + | 3.90815i | −0.884644 | + | 0.140114i | ||||
\(779\) | −3.73908 | + | 3.86304i | −0.133967 | + | 0.138408i | ||||
\(780\) | −12.6826 | − | 2.68267i | −0.454111 | − | 0.0960548i | ||||
\(781\) | −0.557244 | + | 7.96896i | −0.0199398 | + | 0.285152i | ||||
\(782\) | 2.93871 | + | 1.37034i | 0.105088 | + | 0.0490034i | ||||
\(783\) | 0.450249 | + | 25.7947i | 0.0160906 | + | 0.921829i | ||||
\(784\) | −0.886206 | − | 6.30568i | −0.0316502 | − | 0.225203i | ||||
\(785\) | −48.1621 | − | 20.3874i | −1.71898 | − | 0.727657i | ||||
\(786\) | −12.6384 | + | 2.68638i | −0.450797 | + | 0.0958199i | ||||
\(787\) | 14.4283 | + | 22.2176i | 0.514313 | + | 0.791972i | 0.996456 | − | 0.0841207i | \(-0.0268081\pi\) |
−0.482143 | + | 0.876093i | \(0.660141\pi\) | |||||||
\(788\) | 4.71636 | + | 20.4288i | 0.168013 | + | 0.727746i | ||||
\(789\) | 13.4232 | + | 33.2236i | 0.477879 | + | 1.18279i | ||||
\(790\) | 30.3407 | − | 1.62020i | 1.07947 | − | 0.0576440i | ||||
\(791\) | −5.02271 | − | 4.52247i | −0.178587 | − | 0.160800i | ||||
\(792\) | −1.37091 | − | 0.759911i | −0.0487133 | − | 0.0270022i | ||||
\(793\) | −12.0188 | − | 17.1647i | −0.426802 | − | 0.609536i | ||||
\(794\) | −17.4699 | − | 16.8705i | −0.619984 | − | 0.598712i | ||||
\(795\) | 9.15918 | + | 1.60567i | 0.324843 | + | 0.0569471i | ||||
\(796\) | −2.86627 | − | 11.4960i | −0.101592 | − | 0.407464i | ||||
\(797\) | 1.19411 | + | 7.53934i | 0.0422977 | + | 0.267057i | 0.999769 | − | 0.0214697i | \(-0.00683455\pi\) |
−0.957472 | + | 0.288527i | \(0.906835\pi\) | |||||||
\(798\) | −6.76708 | + | 1.06383i | −0.239552 | + | 0.0376593i | ||||
\(799\) | − | 10.5037i | − | 0.371594i | ||||||
\(800\) | −4.99940 | − | 0.0773685i | −0.176756 | − | 0.00273539i | ||||
\(801\) | 1.28860 | + | 3.54040i | 0.0455305 | + | 0.125094i | ||||
\(802\) | −16.4348 | + | 12.3845i | −0.580332 | + | 0.437312i | ||||
\(803\) | −10.2892 | − | 0.179598i | −0.363097 | − | 0.00633789i | ||||
\(804\) | −11.2394 | + | 7.58109i | −0.396384 | + | 0.267364i | ||||
\(805\) | −5.98673 | − | 4.34057i | −0.211005 | − | 0.152985i | ||||
\(806\) | 26.7902 | − | 2.81576i | 0.943643 | − | 0.0991809i | ||||
\(807\) | 2.09243 | − | 23.9165i | 0.0736569 | − | 0.841902i | ||||
\(808\) | −8.03835 | − | 13.3781i | −0.282788 | − | 0.470639i | ||||
\(809\) | −2.07072 | + | 9.74197i | −0.0728026 | + | 0.342509i | −0.999441 | − | 0.0334456i | \(-0.989352\pi\) |
0.926638 | + | 0.375955i | \(0.122685\pi\) | |||||||
\(810\) | −17.2463 | − | 17.2122i | −0.605974 | − | 0.604776i | ||||
\(811\) | −9.07823 | − | 7.09269i | −0.318780 | − | 0.249058i | 0.443546 | − | 0.896252i | \(-0.353720\pi\) |
−0.762326 | + | 0.647194i | \(0.775943\pi\) | |||||||
\(812\) | 3.95850 | + | 2.98294i | 0.138916 | + | 0.104681i | ||||
\(813\) | −14.5263 | + | 47.5134i | −0.509460 | + | 1.66637i | ||||
\(814\) | 17.4263 | − | 0.608541i | 0.610793 | − | 0.0213294i | ||||
\(815\) | −15.3629 | − | 7.14533i | −0.538138 | − | 0.250290i | ||||
\(816\) | 1.46547 | − | 0.476161i | 0.0513018 | − | 0.0166690i | ||||
\(817\) | −15.7078 | + | 14.6140i | −0.549546 | + | 0.511281i | ||||
\(818\) | −19.3053 | − | 19.3053i | −0.674993 | − | 0.674993i | ||||
\(819\) | −2.10750 | − | 0.147371i | −0.0736420 | − | 0.00514955i | ||||
\(820\) | −1.98201 | + | 1.91779i | −0.0692146 | + | 0.0669723i | ||||
\(821\) | 13.6420 | − | 27.9703i | 0.476110 | − | 0.976171i | −0.516666 | − | 0.856187i | \(-0.672827\pi\) |
0.992776 | − | 0.119984i | \(-0.0382842\pi\) | |||||||
\(822\) | 0.125387 | − | 7.18344i | 0.00437339 | − | 0.250551i | ||||
\(823\) | 41.4982 | − | 5.09534i | 1.44654 | − | 0.177612i | 0.639808 | − | 0.768535i | \(-0.279014\pi\) |
0.806729 | + | 0.590922i | \(0.201236\pi\) | |||||||
\(824\) | 7.16761 | − | 4.13822i | 0.249696 | − | 0.144162i | ||||
\(825\) | 12.0689 | − | 12.1167i | 0.420184 | − | 0.421850i | ||||
\(826\) | 8.59916 | − | 7.21555i | 0.299203 | − | 0.251061i | ||||
\(827\) | 14.4854 | − | 34.1254i | 0.503706 | − | 1.18666i | −0.451915 | − | 0.892061i | \(-0.649259\pi\) |
0.955622 | − | 0.294597i | \(-0.0951854\pi\) | |||||||
\(828\) | −3.51621 | − | 1.34975i | −0.122197 | − | 0.0469069i | ||||
\(829\) | −4.20973 | + | 40.0529i | −0.146210 | + | 1.39110i | 0.637731 | + | 0.770260i | \(0.279873\pi\) |
−0.783941 | + | 0.620836i | \(0.786793\pi\) | |||||||
\(830\) | 8.11846 | + | 9.65579i | 0.281796 | + | 0.335157i | ||||
\(831\) | −17.3121 | + | 8.44367i | −0.600549 | + | 0.292908i | ||||
\(832\) | 1.68257 | − | 2.40296i | 0.0583326 | − | 0.0833076i | ||||
\(833\) | −4.87360 | + | 0.947333i | −0.168860 | + | 0.0328231i | ||||
\(834\) | −5.86719 | − | 2.37050i | −0.203164 | − | 0.0820837i | ||||
\(835\) | 12.0921 | + | 18.5799i | 0.418463 | + | 0.642983i | ||||
\(836\) | 3.06050 | + | 6.89531i | 0.105850 | + | 0.238479i | ||||
\(837\) | 33.8652 | + | 17.2552i | 1.17055 | + | 0.596427i | ||||
\(838\) | 2.25669 | + | 5.31644i | 0.0779562 | + | 0.183653i | ||||
\(839\) | −1.28254 | − | 36.7271i | −0.0442782 | − | 1.26796i | −0.794700 | − | 0.607002i | \(-0.792372\pi\) |
0.750422 | − | 0.660959i | \(-0.229850\pi\) | |||||||
\(840\) | −3.48746 | + | 0.431709i | −0.120329 | + | 0.0148954i | ||||
\(841\) | 9.75552 | − | 1.37105i | 0.336397 | − | 0.0472775i | ||||
\(842\) | −14.1048 | + | 25.4457i | −0.486083 | + | 0.876916i | ||||
\(843\) | 1.64112 | − | 6.12475i | 0.0565233 | − | 0.210948i | ||||
\(844\) | 2.77014 | + | 26.3561i | 0.0953521 | + | 0.907215i | ||||
\(845\) | −4.62206 | − | 8.67211i | −0.159004 | − | 0.298330i | ||||
\(846\) | 0.851077 | + | 12.1710i | 0.0292606 | + | 0.418447i | ||||
\(847\) | 2.28113 | − | 5.94254i | 0.0783804 | − | 0.204188i | ||||
\(848\) | −1.14606 | + | 1.76477i | −0.0393557 | + | 0.0606025i | ||||
\(849\) | 40.9913 | + | 14.9196i | 1.40682 | + | 0.512040i | ||||
\(850\) | 0.143765 | + | 3.89582i | 0.00493109 | + | 0.133626i | ||||
\(851\) | 41.2623 | − | 7.27566i | 1.41445 | − | 0.249406i | ||||
\(852\) | 6.67130 | + | 6.22109i | 0.228555 | + | 0.213131i | ||||
\(853\) | 10.0433 | − | 16.7148i | 0.343875 | − | 0.572304i | −0.636056 | − | 0.771643i | \(-0.719435\pi\) |
0.979931 | + | 0.199339i | \(0.0638796\pi\) | |||||||
\(854\) | −4.59543 | − | 3.33877i | −0.157252 | − | 0.114250i | ||||
\(855\) | −1.22713 | − | 8.74159i | −0.0419669 | − | 0.298956i | ||||
\(856\) | 0.590267 | − | 0.428854i | 0.0201749 | − | 0.0146579i | ||||
\(857\) | −1.34112 | − | 15.3291i | −0.0458118 | − | 0.523631i | −0.984080 | − | 0.177723i | \(-0.943127\pi\) |
0.938269 | − | 0.345907i | \(-0.112429\pi\) | |||||||
\(858\) | 1.91449 | + | 9.84920i | 0.0653596 | + | 0.336246i | ||||
\(859\) | −10.9672 | − | 20.6263i | −0.374195 | − | 0.703759i | 0.622703 | − | 0.782458i | \(-0.286034\pi\) |
−0.996898 | + | 0.0786994i | \(0.974923\pi\) | |||||||
\(860\) | −8.29921 | + | 7.22882i | −0.283001 | + | 0.246501i | ||||
\(861\) | −1.19335 | + | 1.52742i | −0.0406694 | + | 0.0520544i | ||||
\(862\) | −0.669760 | − | 12.7798i | −0.0228121 | − | 0.435281i | ||||
\(863\) | −43.9086 | + | 28.5146i | −1.49467 | + | 0.970648i | −0.500164 | + | 0.865931i | \(0.666727\pi\) |
−0.994502 | + | 0.104717i | \(0.966606\pi\) | |||||||
\(864\) | 3.83760 | − | 1.55049i | 0.130558 | − | 0.0527488i | ||||
\(865\) | 3.07555 | + | 8.90342i | 0.104572 | + | 0.302725i | ||||
\(866\) | 5.51417 | + | 1.17207i | 0.187379 | + | 0.0398287i | ||||
\(867\) | 11.6094 | + | 30.2436i | 0.394277 | + | 1.02713i | ||||
\(868\) | 6.61810 | − | 3.08607i | 0.224633 | − | 0.104748i | ||||
\(869\) | −10.3092 | − | 21.1371i | −0.349717 | − | 0.717026i | ||||
\(870\) | −16.9366 | + | 21.7222i | −0.574206 | + | 0.736450i | ||||
\(871\) | 19.3440 | + | 5.54680i | 0.655446 | + | 0.187946i | ||||
\(872\) | 2.74874 | + | 1.65161i | 0.0930840 | + | 0.0559305i | ||||
\(873\) | −6.61314 | − | 12.9790i | −0.223821 | − | 0.439273i | ||||
\(874\) | 9.58834 | + | 15.3839i | 0.324331 | + | 0.520367i | ||||
\(875\) | 1.36473 | − | 8.78529i | 0.0461364 | − | 0.296997i | ||||
\(876\) | −7.55330 | + | 9.00167i | −0.255202 | + | 0.304138i | ||||
\(877\) | 2.48856 | − | 2.66865i | 0.0840326 | − | 0.0901140i | −0.687948 | − | 0.725760i | \(-0.741488\pi\) |
0.771981 | + | 0.635646i | \(0.219266\pi\) | |||||||
\(878\) | −15.6605 | + | 5.39235i | −0.528517 | + | 0.181983i | ||||
\(879\) | −7.16111 | − | 7.41555i | −0.241538 | − | 0.250120i | ||||
\(880\) | 1.45327 | + | 3.58676i | 0.0489899 | + | 0.120910i | ||||
\(881\) | −31.2684 | − | 13.9216i | −1.05346 | − | 0.469031i | −0.194409 | − | 0.980921i | \(-0.562279\pi\) |
−0.859051 | + | 0.511890i | \(0.828946\pi\) | |||||||
\(882\) | 5.57044 | − | 1.49259i | 0.187566 | − | 0.0502583i | ||||
\(883\) | 12.5529 | − | 7.54256i | 0.422440 | − | 0.253828i | −0.287936 | − | 0.957650i | \(-0.592969\pi\) |
0.710376 | + | 0.703822i | \(0.248525\pi\) | |||||||
\(884\) | −1.93966 | − | 1.21204i | −0.0652380 | − | 0.0407652i | ||||
\(885\) | 39.3059 | + | 48.4406i | 1.32125 | + | 1.62831i | ||||
\(886\) | −3.05774 | − | 14.3856i | −0.102727 | − | 0.483292i | ||||
\(887\) | 39.7639 | − | 37.0804i | 1.33514 | − | 1.24504i | 0.389019 | − | 0.921230i | \(-0.372814\pi\) |
0.946122 | − | 0.323809i | \(-0.104964\pi\) | |||||||
\(888\) | 11.9827 | − | 15.9016i | 0.402114 | − | 0.533624i | ||||
\(889\) | −9.15706 | − | 1.28694i | −0.307118 | − | 0.0431626i | ||||
\(890\) | 3.01980 | − | 8.79840i | 0.101224 | − | 0.294923i | ||||
\(891\) | −7.06477 | + | 17.4859i | −0.236679 | + | 0.585800i | ||||
\(892\) | −0.381652 | − | 0.0604478i | −0.0127787 | − | 0.00202394i | ||||
\(893\) | 32.0384 | − | 49.2110i | 1.07212 | − | 1.64678i | ||||
\(894\) | −22.1260 | − | 30.4538i | −0.740003 | − | 1.01853i | ||||
\(895\) | −25.0797 | + | 37.2616i | −0.838321 | + | 1.24552i | ||||
\(896\) | 0.219188 | − | 0.764400i | 0.00732256 | − | 0.0255368i | ||||
\(897\) | 7.84924 | + | 22.7959i | 0.262079 | + | 0.761131i | ||||
\(898\) | 2.40133 | + | 7.85439i | 0.0801333 | + | 0.262104i | ||||
\(899\) | 19.5765 | − | 53.7859i | 0.652911 | − | 1.79386i | ||||
\(900\) | −0.482249 | − | 4.50256i | −0.0160750 | − | 0.150085i | ||||
\(901\) | 1.42086 | + | 0.820336i | 0.0473358 | + | 0.0273293i | ||||
\(902\) | 1.96495 | + | 0.834073i | 0.0654258 | + | 0.0277716i | ||||
\(903\) | −5.07475 | + | 5.83784i | −0.168877 | + | 0.194271i | ||||
\(904\) | 3.45700 | + | 7.76454i | 0.114978 | + | 0.258245i | ||||
\(905\) | 2.38272 | − | 0.776800i | 0.0792043 | − | 0.0258217i | ||||
\(906\) | −8.71721 | − | 30.4005i | −0.289610 | − | 1.00999i | ||||
\(907\) | −4.54402 | + | 3.18176i | −0.150882 | + | 0.105649i | −0.646580 | − | 0.762846i | \(-0.723801\pi\) |
0.495698 | + | 0.868495i | \(0.334912\pi\) | |||||||
\(908\) | 3.18025 | − | 0.0555115i | 0.105540 | − | 0.00184221i | ||||
\(909\) | 11.1385 | − | 8.70234i | 0.369440 | − | 0.288638i | ||||
\(910\) | 3.81833 | + | 3.55359i | 0.126576 | + | 0.117800i | ||||
\(911\) | 27.9851 | + | 9.09292i | 0.927188 | + | 0.301262i | 0.733412 | − | 0.679784i | \(-0.237926\pi\) |
0.193776 | + | 0.981046i | \(0.437926\pi\) | |||||||
\(912\) | 8.31829 | + | 2.23912i | 0.275446 | + | 0.0741448i | ||||
\(913\) | 4.43283 | − | 8.69993i | 0.146705 | − | 0.287926i | ||||
\(914\) | −7.44420 | + | 4.65166i | −0.246232 | + | 0.153863i | ||||
\(915\) | 18.9720 | − | 25.2286i | 0.627196 | − | 0.834033i | ||||
\(916\) | −5.96025 | + | 3.16912i | −0.196932 | + | 0.104711i | ||||
\(917\) | 4.91575 | + | 1.69263i | 0.162332 | + | 0.0558955i | ||||
\(918\) | −1.36385 | − | 2.92479i | −0.0450138 | − | 0.0965323i | ||||
\(919\) | 10.2210 | − | 22.9567i | 0.337159 | − | 0.757271i | −0.662805 | − | 0.748792i | \(-0.730634\pi\) |
0.999964 | − | 0.00847924i | \(-0.00269906\pi\) | |||||||
\(920\) | 4.65752 | + | 8.04866i | 0.153554 | + | 0.265357i | ||||
\(921\) | 30.5894 | − | 2.13902i | 1.00795 | − | 0.0704831i | ||||
\(922\) | 5.72502 | + | 4.97668i | 0.188543 | + | 0.163898i | ||||
\(923\) | 0.708627 | − | 13.5214i | 0.0233248 | − | 0.445063i | ||||
\(924\) | 1.35994 | + | 2.35549i | 0.0447389 | + | 0.0774900i | ||||
\(925\) | 30.3960 | + | 40.1713i | 0.999416 | + | 1.32082i | ||||
\(926\) | −22.9399 | − | 4.04493i | −0.753853 | − | 0.132925i | ||||
\(927\) | 4.51101 | + | 5.98631i | 0.148161 | + | 0.196616i | ||||
\(928\) | −3.02186 | − | 5.45158i | −0.0991975 | − | 0.178957i | ||||
\(929\) | 13.7995 | − | 3.44059i | 0.452746 | − | 0.112882i | −0.00887296 | − | 0.999961i | \(-0.502824\pi\) |
0.461619 | + | 0.887078i | \(0.347269\pi\) | |||||||
\(930\) | 16.5420 | + | 37.0553i | 0.542434 | + | 1.21509i | ||||
\(931\) | −25.7229 | − | 10.4271i | −0.843034 | − | 0.341735i | ||||
\(932\) | −12.2918 | + | 12.2918i | −0.402631 | + | 0.402631i | ||||
\(933\) | 2.34613 | − | 2.03946i | 0.0768090 | − | 0.0667690i | ||||
\(934\) | −12.2419 | − | 15.6690i | −0.400569 | − | 0.512705i | ||||
\(935\) | 2.73344 | − | 1.27792i | 0.0893930 | − | 0.0417924i | ||||
\(936\) | 2.34576 | + | 1.24726i | 0.0766735 | + | 0.0407680i | ||||
\(937\) | 2.27625 | + | 2.44098i | 0.0743619 | + | 0.0797433i | 0.767447 | − | 0.641112i | \(-0.221527\pi\) |
−0.693085 | + | 0.720856i | \(0.743749\pi\) | |||||||
\(938\) | 5.44761 | − | 0.285497i | 0.177871 | − | 0.00932181i | ||||
\(939\) | −30.0588 | − | 33.3837i | −0.980932 | − | 1.08944i | ||||
\(940\) | 17.2536 | − | 24.6927i | 0.562751 | − | 0.805386i | ||||
\(941\) | 8.61307 | − | 13.7838i | 0.280778 | − | 0.449339i | −0.677358 | − | 0.735654i | \(-0.736875\pi\) |
0.958135 | + | 0.286315i | \(0.0924305\pi\) | |||||||
\(942\) | 35.9222 | + | 29.0892i | 1.17041 | + | 0.947777i | ||||
\(943\) | 4.95452 | + | 1.32756i | 0.161341 | + | 0.0432313i | ||||
\(944\) | −13.5695 | + | 3.89100i | −0.441651 | + | 0.126641i | ||||
\(945\) | 1.78753 | + | 7.13928i | 0.0581483 | + | 0.232241i | ||||
\(946\) | 7.65651 | + | 3.73433i | 0.248935 | + | 0.121414i | ||||
\(947\) | −48.0038 | + | 26.6089i | −1.55991 | + | 0.864674i | −0.560583 | + | 0.828099i | \(0.689423\pi\) |
−0.999331 | + | 0.0365756i | \(0.988355\pi\) | |||||||
\(948\) | −26.1656 | − | 6.04080i | −0.849819 | − | 0.196196i | ||||
\(949\) | 17.4423 | 0.566201 | ||||||||
\(950\) | −11.2095 | + | 18.6908i | −0.363684 | + | 0.606411i | ||||
\(951\) | 0.464140 | 0.0150508 | ||||||||
\(952\) | −0.604125 | − | 0.139473i | −0.0195798 | − | 0.00452036i | ||||
\(953\) | −33.1196 | + | 18.3585i | −1.07285 | + | 0.594690i | −0.919343 | − | 0.393458i | \(-0.871279\pi\) |
−0.153506 | + | 0.988148i | \(0.549056\pi\) | |||||||
\(954\) | −1.71287 | − | 0.835421i | −0.0554561 | − | 0.0270478i | ||||
\(955\) | 26.7893 | + | 22.4337i | 0.866880 | + | 0.725938i | ||||
\(956\) | −14.7263 | + | 4.22270i | −0.476283 | + | 0.136572i | ||||
\(957\) | 20.5930 | + | 5.51787i | 0.665677 | + | 0.178368i | ||||
\(958\) | −0.248379 | − | 0.201134i | −0.00802478 | − | 0.00649833i | ||||
\(959\) | −1.53193 | + | 2.45161i | −0.0494687 | + | 0.0791665i | ||||
\(960\) | 4.22727 | + | 1.28783i | 0.136434 | + | 0.0415646i | ||||
\(961\) | −35.6816 | − | 39.6285i | −1.15102 | − | 1.27834i | ||||
\(962\) | −29.5143 | + | 1.54678i | −0.951578 | + | 0.0498701i | ||||
\(963\) | 0.450651 | + | 0.483264i | 0.0145220 | + | 0.0155730i | ||||
\(964\) | −18.1068 | − | 9.62756i | −0.583181 | − | 0.310083i | ||||
\(965\) | −3.02074 | − | 24.4023i | −0.0972412 | − | 0.785539i | ||||
\(966\) | 4.02369 | + | 5.15009i | 0.129460 | + | 0.165701i | ||||
\(967\) | −27.4771 | + | 23.8855i | −0.883605 | + | 0.768106i | −0.973702 | − | 0.227827i | \(-0.926838\pi\) |
0.0900970 | + | 0.995933i | \(0.471282\pi\) | |||||||
\(968\) | −5.66013 | + | 5.66013i | −0.181923 | + | 0.181923i | ||||
\(969\) | 1.40400 | − | 6.56820i | 0.0451031 | − | 0.211001i | ||||
\(970\) | −7.44273 | + | 35.1864i | −0.238972 | + | 1.12977i | ||||
\(971\) | 31.0771 | − | 7.74838i | 0.997310 | − | 0.248657i | 0.291126 | − | 0.956685i | \(-0.405970\pi\) |
0.706185 | + | 0.708027i | \(0.250415\pi\) | |||||||
\(972\) | 4.42051 | + | 7.97481i | 0.141788 | + | 0.255792i | ||||
\(973\) | 1.53235 | + | 2.03350i | 0.0491250 | + | 0.0651911i | ||||
\(974\) | 32.6829 | + | 5.76287i | 1.04723 | + | 0.184654i | ||||
\(975\) | −20.0946 | + | 20.8911i | −0.643541 | + | 0.669051i | ||||
\(976\) | 3.57157 | + | 6.18615i | 0.114323 | + | 0.198014i | ||||
\(977\) | 1.52125 | − | 29.0273i | 0.0486692 | − | 0.928664i | −0.859779 | − | 0.510667i | \(-0.829399\pi\) |
0.908448 | − | 0.417998i | \(-0.137268\pi\) | |||||||
\(978\) | 11.3016 | + | 9.82430i | 0.361384 | + | 0.314147i | ||||
\(979\) | −7.18235 | + | 0.502239i | −0.229549 | + | 0.0160516i | ||||
\(980\) | −13.0132 | − | 5.77845i | −0.415693 | − | 0.184586i | ||||
\(981\) | −1.18127 | + | 2.65317i | −0.0377149 | + | 0.0847090i | ||||
\(982\) | 16.9339 | + | 36.3148i | 0.540381 | + | 1.15885i | ||||
\(983\) | −19.1253 | − | 6.58538i | −0.610003 | − | 0.210041i | 0.00316289 | − | 0.999995i | \(-0.498993\pi\) |
−0.613166 | + | 0.789954i | \(0.710104\pi\) | |||||||
\(984\) | 2.15220 | − | 1.14435i | 0.0686097 | − | 0.0364804i | ||||
\(985\) | 44.3426 | + | 15.2193i | 1.41287 | + | 0.484928i | ||||
\(986\) | −4.12143 | + | 2.57536i | −0.131253 | + | 0.0820161i | ||||
\(987\) | 9.61149 | − | 18.8636i | 0.305937 | − | 0.600436i | ||||
\(988\) | −5.39058 | − | 11.5949i | −0.171497 | − | 0.368883i | ||||
\(989\) | 19.4674 | + | 6.32535i | 0.619028 | + | 0.201135i | ||||
\(990\) | −3.06378 | + | 1.70224i | −0.0973732 | + | 0.0541009i | ||||
\(991\) | 30.5953 | − | 23.9037i | 0.971891 | − | 0.759325i | 0.00128521 | − | 0.999999i | \(-0.499591\pi\) |
0.970606 | + | 0.240675i | \(0.0773687\pi\) | |||||||
\(992\) | −9.18149 | + | 0.160263i | −0.291512 | + | 0.00508837i | ||||
\(993\) | −45.5864 | + | 31.9200i | −1.44664 | + | 1.01295i | ||||
\(994\) | −1.01170 | − | 3.52823i | −0.0320893 | − | 0.111909i | ||||
\(995\) | −25.2042 | − | 8.16177i | −0.799026 | − | 0.258745i | ||||
\(996\) | −4.53493 | − | 10.1856i | −0.143695 | − | 0.322744i | ||||
\(997\) | −0.444127 | + | 0.510909i | −0.0140656 | + | 0.0161807i | −0.761699 | − | 0.647931i | \(-0.775635\pi\) |
0.747633 | + | 0.664112i | \(0.231190\pi\) | |||||||
\(998\) | 18.0354 | + | 7.65557i | 0.570900 | + | 0.242333i | ||||
\(999\) | −36.1136 | − | 20.8502i | −1.14258 | − | 0.659670i |
(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 | 950.2.bi.a.3.20 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.31 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.31 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.20 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.20 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.31 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.31 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.20 | yes | 2400 | 475.317 | even | 180 | inner |