Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [960,2,Mod(11,960)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(960, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("960.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 960 = 2^{6} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 960.cn (of order \(16\), degree \(8\), 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: | \(7.66563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(1024\) |
Relative dimension: | \(128\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 11.82 | ||
Character | \(\chi\) | \(=\) | 960.11 |
Dual form | 960.2.cn.a.611.82 |
$q$-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 \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).
\(n\) | \(511\) | \(577\) | \(641\) | \(901\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.557061 | + | 1.29988i | 0.393902 | + | 0.919152i | ||||
\(3\) | −0.0725476 | + | 1.73053i | −0.0418854 | + | 0.999122i | ||||
\(4\) | −1.37937 | + | 1.44822i | −0.689683 | + | 0.724112i | ||||
\(5\) | −0.831470 | + | 0.555570i | −0.371845 | + | 0.248459i | ||||
\(6\) | −2.28989 | + | 0.869709i | −0.934845 | + | 0.355057i | ||||
\(7\) | −0.966631 | + | 2.33365i | −0.365352 | + | 0.882038i | 0.629146 | + | 0.777287i | \(0.283405\pi\) |
−0.994498 | + | 0.104751i | \(0.966595\pi\) | |||||||
\(8\) | −2.65091 | − | 0.986257i | −0.937236 | − | 0.348694i | ||||
\(9\) | −2.98947 | − | 0.251092i | −0.996491 | − | 0.0836972i | ||||
\(10\) | −1.18535 | − | 0.771322i | −0.374842 | − | 0.243914i | ||||
\(11\) | 0.314221 | − | 1.57970i | 0.0947413 | − | 0.476297i | −0.904063 | − | 0.427400i | \(-0.859430\pi\) |
0.998804 | − | 0.0488965i | \(-0.0155704\pi\) | |||||||
\(12\) | −2.40613 | − | 2.49210i | −0.694589 | − | 0.719407i | ||||
\(13\) | −0.595243 | + | 0.890844i | −0.165091 | + | 0.247076i | −0.904786 | − | 0.425866i | \(-0.859970\pi\) |
0.739696 | + | 0.672942i | \(0.234970\pi\) | |||||||
\(14\) | −3.57194 | + | 0.0434862i | −0.954641 | + | 0.0116222i | ||||
\(15\) | −0.901110 | − | 1.47919i | −0.232666 | − | 0.381925i | ||||
\(16\) | −0.194704 | − | 3.99526i | −0.0486759 | − | 0.998815i | ||||
\(17\) | 3.51577 | + | 3.51577i | 0.852698 | + | 0.852698i | 0.990465 | − | 0.137766i | \(-0.0439923\pi\) |
−0.137766 | + | 0.990465i | \(0.543992\pi\) | |||||||
\(18\) | −1.33893 | − | 4.02582i | −0.315589 | − | 0.948896i | ||||
\(19\) | −1.27827 | + | 1.91306i | −0.293254 | + | 0.438886i | −0.948616 | − | 0.316429i | \(-0.897516\pi\) |
0.655362 | + | 0.755315i | \(0.272516\pi\) | |||||||
\(20\) | 0.342310 | − | 1.97049i | 0.0765429 | − | 0.440615i | ||||
\(21\) | −3.96833 | − | 1.84209i | −0.865961 | − | 0.401976i | ||||
\(22\) | 2.22845 | − | 0.471539i | 0.475108 | − | 0.100532i | ||||
\(23\) | −1.44382 | − | 3.48568i | −0.301057 | − | 0.726815i | −0.999933 | − | 0.0115727i | \(-0.996316\pi\) |
0.698876 | − | 0.715243i | \(-0.253684\pi\) | |||||||
\(24\) | 1.89906 | − | 4.51592i | 0.387645 | − | 0.921809i | ||||
\(25\) | 0.382683 | − | 0.923880i | 0.0765367 | − | 0.184776i | ||||
\(26\) | −1.48958 | − | 0.277488i | −0.292130 | − | 0.0544200i | ||||
\(27\) | 0.651401 | − | 5.15516i | 0.125362 | − | 0.992111i | ||||
\(28\) | −2.04632 | − | 4.61886i | −0.386717 | − | 0.872882i | ||||
\(29\) | 1.64464 | − | 0.327140i | 0.305402 | − | 0.0607483i | −0.0400102 | − | 0.999199i | \(-0.512739\pi\) |
0.345412 | + | 0.938451i | \(0.387739\pi\) | |||||||
\(30\) | 1.42079 | − | 1.99533i | 0.259400 | − | 0.364296i | ||||
\(31\) | −4.99093 | −0.896397 | −0.448199 | − | 0.893934i | \(-0.647934\pi\) | ||||
−0.448199 | + | 0.893934i | \(0.647934\pi\) | |||||||
\(32\) | 5.08489 | − | 2.47870i | 0.898889 | − | 0.438176i | ||||
\(33\) | 2.71092 | + | 0.658373i | 0.471910 | + | 0.114608i | ||||
\(34\) | −2.61157 | + | 6.52856i | −0.447880 | + | 1.11964i | ||||
\(35\) | −0.492784 | − | 2.47739i | −0.0832957 | − | 0.418756i | ||||
\(36\) | 4.48721 | − | 3.98308i | 0.747869 | − | 0.663847i | ||||
\(37\) | −0.709876 | + | 0.474324i | −0.116703 | + | 0.0779784i | −0.612552 | − | 0.790430i | \(-0.709857\pi\) |
0.495849 | + | 0.868409i | \(0.334857\pi\) | |||||||
\(38\) | −3.19882 | − | 0.595898i | −0.518917 | − | 0.0966674i | ||||
\(39\) | −1.49845 | − | 1.09472i | −0.239944 | − | 0.175295i | ||||
\(40\) | 2.75208 | − | 0.652721i | 0.435142 | − | 0.103204i | ||||
\(41\) | 0.102308 | − | 0.0423775i | 0.0159779 | − | 0.00661826i | −0.374680 | − | 0.927154i | \(-0.622247\pi\) |
0.390658 | + | 0.920536i | \(0.372247\pi\) | |||||||
\(42\) | 0.183881 | − | 6.18450i | 0.0283735 | − | 0.954290i | ||||
\(43\) | 0.442995 | − | 2.22709i | 0.0675561 | − | 0.339627i | −0.932195 | − | 0.361958i | \(-0.882109\pi\) |
0.999751 | + | 0.0223302i | \(0.00710851\pi\) | |||||||
\(44\) | 1.85433 | + | 2.63404i | 0.279551 | + | 0.397097i | ||||
\(45\) | 2.62516 | − | 1.45209i | 0.391335 | − | 0.216464i | ||||
\(46\) | 3.72667 | − | 3.81853i | 0.549467 | − | 0.563011i | ||||
\(47\) | −3.58215 | + | 3.58215i | −0.522511 | + | 0.522511i | −0.918329 | − | 0.395818i | \(-0.870461\pi\) |
0.395818 | + | 0.918329i | \(0.370461\pi\) | |||||||
\(48\) | 6.92804 | − | 0.0470943i | 0.999977 | − | 0.00679748i | ||||
\(49\) | 0.438183 | + | 0.438183i | 0.0625976 | + | 0.0625976i | ||||
\(50\) | 1.41411 | − | 0.0172159i | 0.199985 | − | 0.00243470i | ||||
\(51\) | −6.33920 | + | 5.82908i | −0.887666 | + | 0.816235i | ||||
\(52\) | −0.469084 | − | 2.09084i | −0.0650503 | − | 0.289948i | ||||
\(53\) | 10.6251 | + | 2.11347i | 1.45947 | + | 0.290307i | 0.860084 | − | 0.510152i | \(-0.170411\pi\) |
0.599387 | + | 0.800459i | \(0.295411\pi\) | |||||||
\(54\) | 7.06395 | − | 2.02500i | 0.961282 | − | 0.275567i | ||||
\(55\) | 0.616367 | + | 1.48804i | 0.0831109 | + | 0.200648i | ||||
\(56\) | 4.86403 | − | 5.23295i | 0.649983 | − | 0.699282i | ||||
\(57\) | −3.21787 | − | 2.35087i | −0.426218 | − | 0.311380i | ||||
\(58\) | 1.34141 | + | 1.95560i | 0.176135 | + | 0.256782i | ||||
\(59\) | −1.61569 | − | 2.41805i | −0.210345 | − | 0.314803i | 0.711263 | − | 0.702926i | \(-0.248124\pi\) |
−0.921608 | + | 0.388123i | \(0.873124\pi\) | |||||||
\(60\) | 3.38516 | + | 0.735333i | 0.437022 | + | 0.0949310i | ||||
\(61\) | −7.53033 | + | 1.49788i | −0.964160 | + | 0.191783i | −0.651977 | − | 0.758239i | \(-0.726060\pi\) |
−0.312183 | + | 0.950022i | \(0.601060\pi\) | |||||||
\(62\) | −2.78025 | − | 6.48760i | −0.353093 | − | 0.823926i | ||||
\(63\) | 3.47568 | − | 6.73368i | 0.437894 | − | 0.848364i | ||||
\(64\) | 6.05460 | + | 5.22895i | 0.756824 | + | 0.653618i | ||||
\(65\) | − | 1.07141i | − | 0.132892i | ||||||
\(66\) | 0.654344 | + | 3.89062i | 0.0805442 | + | 0.478902i | ||||
\(67\) | 2.21625 | + | 11.1418i | 0.270758 | + | 1.36119i | 0.841587 | + | 0.540122i | \(0.181622\pi\) |
−0.570829 | + | 0.821069i | \(0.693378\pi\) | |||||||
\(68\) | −9.94114 | + | 0.242091i | −1.20554 | + | 0.0293578i | ||||
\(69\) | 6.13683 | − | 2.24569i | 0.738787 | − | 0.270350i | ||||
\(70\) | 2.94580 | − | 2.02062i | 0.352090 | − | 0.241510i | ||||
\(71\) | −5.24577 | − | 2.17287i | −0.622558 | − | 0.257872i | 0.0490295 | − | 0.998797i | \(-0.484387\pi\) |
−0.671587 | + | 0.740925i | \(0.734387\pi\) | |||||||
\(72\) | 7.67717 | + | 3.61401i | 0.904763 | + | 0.425915i | ||||
\(73\) | −4.27949 | + | 1.77262i | −0.500876 | + | 0.207470i | −0.618793 | − | 0.785554i | \(-0.712378\pi\) |
0.117917 | + | 0.993023i | \(0.462378\pi\) | |||||||
\(74\) | −1.01201 | − | 0.658525i | −0.117644 | − | 0.0765519i | ||||
\(75\) | 1.57104 | + | 0.729271i | 0.181408 | + | 0.0842089i | ||||
\(76\) | −1.00734 | − | 4.49002i | −0.115550 | − | 0.515041i | ||||
\(77\) | 3.38273 | + | 2.26027i | 0.385498 | + | 0.257581i | ||||
\(78\) | 0.588267 | − | 2.55763i | 0.0666082 | − | 0.289594i | ||||
\(79\) | −10.8259 | + | 10.8259i | −1.21801 | + | 1.21801i | −0.249687 | + | 0.968326i | \(0.580328\pi\) |
−0.968326 | + | 0.249687i | \(0.919672\pi\) | |||||||
\(80\) | 2.38154 | + | 3.21376i | 0.266264 | + | 0.359310i | ||||
\(81\) | 8.87391 | + | 1.50126i | 0.985990 | + | 0.166807i | ||||
\(82\) | 0.112078 | + | 0.109382i | 0.0123769 | + | 0.0120792i | ||||
\(83\) | −9.64161 | − | 6.44232i | −1.05830 | − | 0.707136i | −0.100610 | − | 0.994926i | \(-0.532080\pi\) |
−0.957694 | + | 0.287790i | \(0.907080\pi\) | |||||||
\(84\) | 8.14153 | − | 3.20612i | 0.888314 | − | 0.349817i | ||||
\(85\) | −4.87651 | − | 0.969998i | −0.528931 | − | 0.105211i | ||||
\(86\) | 3.14171 | − | 0.664784i | 0.338780 | − | 0.0716855i | ||||
\(87\) | 0.446810 | + | 2.86984i | 0.0479031 | + | 0.307679i | ||||
\(88\) | −2.39096 | + | 3.87772i | −0.254877 | + | 0.413367i | ||||
\(89\) | −12.1021 | − | 5.01286i | −1.28282 | − | 0.531362i | −0.365983 | − | 0.930621i | \(-0.619267\pi\) |
−0.916838 | + | 0.399259i | \(0.869267\pi\) | |||||||
\(90\) | 3.34991 | + | 2.60348i | 0.353111 | + | 0.274431i | ||||
\(91\) | −1.50354 | − | 2.25021i | −0.157614 | − | 0.235886i | ||||
\(92\) | 7.03960 | + | 2.71706i | 0.733929 | + | 0.283273i | ||||
\(93\) | 0.362080 | − | 8.63696i | 0.0375459 | − | 0.895611i | ||||
\(94\) | −6.65184 | − | 2.66088i | −0.686085 | − | 0.274449i | ||||
\(95\) | − | 2.30082i | − | 0.236059i | ||||||
\(96\) | 3.92056 | + | 8.97938i | 0.400141 | + | 0.916454i | ||||
\(97\) | − | 0.469233i | − | 0.0476434i | −0.999716 | − | 0.0238217i | \(-0.992417\pi\) | ||
0.999716 | − | 0.0238217i | \(-0.00758341\pi\) | |||||||
\(98\) | −0.325490 | + | 0.813680i | −0.0328794 | + | 0.0821941i | ||||
\(99\) | −1.33600 | + | 4.64356i | −0.134274 | + | 0.466696i | ||||
\(100\) | 0.810124 | + | 1.82858i | 0.0810124 | + | 0.182858i | ||||
\(101\) | −3.79478 | − | 5.67929i | −0.377595 | − | 0.565111i | 0.593190 | − | 0.805063i | \(-0.297868\pi\) |
−0.970785 | + | 0.239952i | \(0.922868\pi\) | |||||||
\(102\) | −11.1084 | − | 4.99303i | −1.09990 | − | 0.494384i | ||||
\(103\) | −1.92201 | − | 0.796123i | −0.189381 | − | 0.0784443i | 0.285978 | − | 0.958236i | \(-0.407682\pi\) |
−0.475359 | + | 0.879792i | \(0.657682\pi\) | |||||||
\(104\) | 2.45653 | − | 1.77448i | 0.240883 | − | 0.174002i | ||||
\(105\) | 4.32296 | − | 0.673049i | 0.421877 | − | 0.0656829i | ||||
\(106\) | 3.17159 | + | 14.9887i | 0.308052 | + | 1.45583i | ||||
\(107\) | 12.1160 | + | 2.41003i | 1.17130 | + | 0.232986i | 0.742142 | − | 0.670243i | \(-0.233810\pi\) |
0.429158 | + | 0.903229i | \(0.358810\pi\) | |||||||
\(108\) | 6.56731 | + | 8.05422i | 0.631939 | + | 0.775018i | ||||
\(109\) | 5.72085 | + | 3.82255i | 0.547958 | + | 0.366134i | 0.798521 | − | 0.601967i | \(-0.205616\pi\) |
−0.250564 | + | 0.968100i | \(0.580616\pi\) | |||||||
\(110\) | −1.59092 | + | 1.63013i | −0.151688 | + | 0.155427i | ||||
\(111\) | −0.769332 | − | 1.26287i | −0.0730218 | − | 0.119867i | ||||
\(112\) | 9.51176 | + | 3.40757i | 0.898777 | + | 0.321985i | ||||
\(113\) | 3.28149 | − | 3.28149i | 0.308696 | − | 0.308696i | −0.535707 | − | 0.844404i | \(-0.679955\pi\) |
0.844404 | + | 0.535707i | \(0.179955\pi\) | |||||||
\(114\) | 1.26329 | − | 5.49242i | 0.118318 | − | 0.514412i | ||||
\(115\) | 3.13703 | + | 2.09610i | 0.292530 | + | 0.195462i | ||||
\(116\) | −1.79479 | + | 2.83305i | −0.166642 | + | 0.263042i | ||||
\(117\) | 2.00315 | − | 2.51370i | 0.185191 | − | 0.232391i | ||||
\(118\) | 2.24313 | − | 3.44720i | 0.206497 | − | 0.317341i | ||||
\(119\) | −11.6030 | + | 4.80613i | −1.06365 | + | 0.440577i | ||||
\(120\) | 0.929898 | + | 4.80992i | 0.0848877 | + | 0.439083i | ||||
\(121\) | 7.76597 | + | 3.21677i | 0.705997 | + | 0.292434i | ||||
\(122\) | −6.14191 | − | 8.95410i | −0.556063 | − | 0.810667i | ||||
\(123\) | 0.0659134 | + | 0.180122i | 0.00594321 | + | 0.0162411i | ||||
\(124\) | 6.88431 | − | 7.22798i | 0.618230 | − | 0.649092i | ||||
\(125\) | 0.195090 | + | 0.980785i | 0.0174494 | + | 0.0877241i | ||||
\(126\) | 10.6891 | + | 0.766883i | 0.952264 | + | 0.0683194i | ||||
\(127\) | − | 0.606243i | − | 0.0537954i | −0.999638 | − | 0.0268977i | \(-0.991437\pi\) | ||
0.999638 | − | 0.0268977i | \(-0.00856283\pi\) | |||||||
\(128\) | −3.42421 | + | 10.7831i | −0.302660 | + | 0.953099i | ||||
\(129\) | 3.82190 | + | 0.928186i | 0.336500 | + | 0.0817222i | ||||
\(130\) | 1.39270 | − | 0.596841i | 0.122148 | − | 0.0523464i | ||||
\(131\) | −19.3247 | + | 3.84392i | −1.68841 | + | 0.335845i | −0.943512 | − | 0.331339i | \(-0.892500\pi\) |
−0.744894 | + | 0.667183i | \(0.767500\pi\) | |||||||
\(132\) | −4.69282 | + | 3.01788i | −0.408457 | + | 0.262673i | ||||
\(133\) | −3.22881 | − | 4.83225i | −0.279973 | − | 0.419010i | ||||
\(134\) | −13.2484 | + | 9.08753i | −1.14449 | + | 0.785043i | ||||
\(135\) | 2.32243 | + | 4.64826i | 0.199883 | + | 0.400058i | ||||
\(136\) | −5.85251 | − | 12.7874i | −0.501849 | − | 1.09651i | ||||
\(137\) | 1.38073 | + | 3.33337i | 0.117964 | + | 0.284789i | 0.971822 | − | 0.235716i | \(-0.0757435\pi\) |
−0.853858 | + | 0.520505i | \(0.825744\pi\) | |||||||
\(138\) | 6.33772 | + | 6.72614i | 0.539502 | + | 0.572567i | ||||
\(139\) | 17.2378 | + | 3.42881i | 1.46209 | + | 0.290828i | 0.861103 | − | 0.508431i | \(-0.169774\pi\) |
0.600987 | + | 0.799259i | \(0.294774\pi\) | |||||||
\(140\) | 4.26755 | + | 2.70357i | 0.360674 | + | 0.228493i | ||||
\(141\) | −5.93915 | − | 6.45890i | −0.500167 | − | 0.543938i | ||||
\(142\) | −0.0977515 | − | 8.02928i | −0.00820313 | − | 0.673802i | ||||
\(143\) | 1.22023 | + | 1.22023i | 0.102040 | + | 0.102040i | ||||
\(144\) | −0.421115 | + | 11.9926i | −0.0350929 | + | 0.999384i | ||||
\(145\) | −1.18572 | + | 1.18572i | −0.0984687 | + | 0.0984687i | ||||
\(146\) | −4.68813 | − | 4.57535i | −0.387992 | − | 0.378659i | ||||
\(147\) | −0.790079 | + | 0.726500i | −0.0651646 | + | 0.0599207i | ||||
\(148\) | 0.292251 | − | 1.68233i | 0.0240229 | − | 0.138286i | ||||
\(149\) | 0.0269648 | − | 0.135561i | 0.00220904 | − | 0.0111056i | −0.979665 | − | 0.200640i | \(-0.935698\pi\) |
0.981874 | + | 0.189534i | \(0.0606979\pi\) | |||||||
\(150\) | −0.0727975 | + | 2.44841i | −0.00594389 | + | 0.199912i | ||||
\(151\) | −15.9569 | + | 6.60957i | −1.29856 | + | 0.537879i | −0.921524 | − | 0.388321i | \(-0.873055\pi\) |
−0.377031 | + | 0.926201i | \(0.623055\pi\) | |||||||
\(152\) | 5.27533 | − | 3.81064i | 0.427886 | − | 0.309084i | ||||
\(153\) | −9.62751 | − | 11.3931i | −0.778338 | − | 0.921075i | ||||
\(154\) | −1.05368 | + | 5.65624i | −0.0849083 | + | 0.455793i | ||||
\(155\) | 4.14981 | − | 2.77281i | 0.333320 | − | 0.222718i | ||||
\(156\) | 3.65230 | − | 0.660079i | 0.292418 | − | 0.0528486i | ||||
\(157\) | −2.75438 | − | 13.8472i | −0.219823 | − | 1.10513i | −0.920229 | − | 0.391381i | \(-0.871997\pi\) |
0.700405 | − | 0.713745i | \(-0.253003\pi\) | |||||||
\(158\) | −20.1031 | − | 8.04169i | −1.59932 | − | 0.639763i | ||||
\(159\) | −4.42825 | + | 18.2338i | −0.351183 | + | 1.44603i | ||||
\(160\) | −2.85084 | + | 4.88597i | −0.225379 | + | 0.386270i | ||||
\(161\) | 9.53002 | 0.751071 | ||||||||
\(162\) | 2.99185 | + | 12.3713i | 0.235062 | + | 0.971980i | ||||
\(163\) | 20.2967 | − | 4.03727i | 1.58976 | − | 0.316223i | 0.680597 | − | 0.732658i | \(-0.261721\pi\) |
0.909166 | + | 0.416435i | \(0.136721\pi\) | |||||||
\(164\) | −0.0797485 | + | 0.206620i | −0.00622731 | + | 0.0161343i | ||||
\(165\) | −2.61982 | + | 0.958689i | −0.203953 | + | 0.0746338i | ||||
\(166\) | 3.00326 | − | 16.1217i | 0.233098 | − | 1.25128i | ||||
\(167\) | −8.52477 | + | 20.5806i | −0.659667 | + | 1.59258i | 0.138652 | + | 0.990341i | \(0.455723\pi\) |
−0.798319 | + | 0.602235i | \(0.794277\pi\) | |||||||
\(168\) | 8.70290 | + | 8.79699i | 0.671444 | + | 0.678702i | ||||
\(169\) | 4.53560 | + | 10.9499i | 0.348892 | + | 0.842300i | ||||
\(170\) | −1.45564 | − | 6.87921i | −0.111642 | − | 0.527612i | ||||
\(171\) | 4.30170 | − | 5.39808i | 0.328959 | − | 0.412802i | ||||
\(172\) | 2.61427 | + | 3.71352i | 0.199336 | + | 0.283153i | ||||
\(173\) | −1.89330 | + | 2.83353i | −0.143945 | + | 0.215429i | −0.896436 | − | 0.443174i | \(-0.853852\pi\) |
0.752491 | + | 0.658603i | \(0.228852\pi\) | |||||||
\(174\) | −3.48154 | + | 2.17947i | −0.263935 | + | 0.165225i | ||||
\(175\) | 1.78610 | + | 1.78610i | 0.135017 | + | 0.135017i | ||||
\(176\) | −6.37248 | − | 0.947822i | −0.480344 | − | 0.0714448i | ||||
\(177\) | 4.30173 | − | 2.62058i | 0.323338 | − | 0.196975i | ||||
\(178\) | −0.225515 | − | 18.5237i | −0.0169031 | − | 1.38841i | ||||
\(179\) | −3.13337 | + | 4.68943i | −0.234199 | + | 0.350504i | −0.929890 | − | 0.367837i | \(-0.880098\pi\) |
0.695691 | + | 0.718341i | \(0.255098\pi\) | |||||||
\(180\) | −1.51810 | + | 5.80477i | −0.113153 | + | 0.432662i | ||||
\(181\) | −3.51297 | + | 17.6609i | −0.261117 | + | 1.31272i | 0.598227 | + | 0.801326i | \(0.295872\pi\) |
−0.859344 | + | 0.511397i | \(0.829128\pi\) | |||||||
\(182\) | 2.08743 | − | 3.20793i | 0.154731 | − | 0.237787i | ||||
\(183\) | −2.04581 | − | 13.1401i | −0.151231 | − | 0.971347i | ||||
\(184\) | 0.389644 | + | 10.6642i | 0.0287249 | + | 0.786175i | ||||
\(185\) | 0.326720 | − | 0.788772i | 0.0240209 | − | 0.0579917i | ||||
\(186\) | 11.4287 | − | 4.34066i | 0.837992 | − | 0.318272i | ||||
\(187\) | 6.65857 | − | 4.44912i | 0.486923 | − | 0.325352i | ||||
\(188\) | −0.246662 | − | 10.1289i | −0.0179897 | − | 0.738723i | ||||
\(189\) | 11.4007 | + | 6.50328i | 0.829279 | + | 0.473044i | ||||
\(190\) | 2.99078 | − | 1.28170i | 0.216974 | − | 0.0929841i | ||||
\(191\) | −12.1089 | −0.876169 | −0.438085 | − | 0.898934i | \(-0.644343\pi\) | ||||
−0.438085 | + | 0.898934i | \(0.644343\pi\) | |||||||
\(192\) | −9.48810 | + | 10.0983i | −0.684744 | + | 0.728783i | ||||
\(193\) | −26.6847 | −1.92081 | −0.960405 | − | 0.278609i | \(-0.910127\pi\) | ||||
−0.960405 | + | 0.278609i | \(0.910127\pi\) | |||||||
\(194\) | 0.609946 | − | 0.261392i | 0.0437916 | − | 0.0187668i | ||||
\(195\) | 1.85411 | + | 0.0777282i | 0.132775 | + | 0.00556623i | ||||
\(196\) | −1.23900 | + | 0.0301727i | −0.0885001 | + | 0.00215519i | ||||
\(197\) | −5.10176 | + | 3.40888i | −0.363485 | + | 0.242873i | −0.723879 | − | 0.689927i | \(-0.757642\pi\) |
0.360393 | + | 0.932800i | \(0.382642\pi\) | |||||||
\(198\) | −6.78030 | + | 0.850107i | −0.481855 | + | 0.0604145i | ||||
\(199\) | −7.48686 | + | 18.0749i | −0.530729 | + | 1.28129i | 0.400312 | + | 0.916379i | \(0.368902\pi\) |
−0.931041 | + | 0.364915i | \(0.881098\pi\) | |||||||
\(200\) | −1.92564 | + | 2.07169i | −0.136163 | + | 0.146491i | ||||
\(201\) | −19.4421 | + | 3.02697i | −1.37134 | + | 0.213506i | ||||
\(202\) | 5.26846 | − | 8.09647i | 0.370688 | − | 0.569665i | ||||
\(203\) | −0.826331 | + | 4.15425i | −0.0579971 | + | 0.291571i | ||||
\(204\) | 0.302261 | − | 17.2210i | 0.0211625 | − | 1.20571i | ||||
\(205\) | −0.0615226 | + | 0.0920751i | −0.00429693 | + | 0.00643081i | ||||
\(206\) | −0.0358154 | − | 2.94187i | −0.00249538 | − | 0.204970i | ||||
\(207\) | 3.44103 | + | 10.7829i | 0.239168 | + | 0.749463i | ||||
\(208\) | 3.67505 | + | 2.20470i | 0.254819 | + | 0.152868i | ||||
\(209\) | 2.62040 | + | 2.62040i | 0.181257 | + | 0.181257i | ||||
\(210\) | 3.28303 | + | 5.24439i | 0.226551 | + | 0.361897i | ||||
\(211\) | 11.6914 | − | 17.4975i | 0.804871 | − | 1.20458i | −0.170793 | − | 0.985307i | \(-0.554633\pi\) |
0.975665 | − | 0.219268i | \(-0.0703670\pi\) | |||||||
\(212\) | −17.7167 | + | 12.4723i | −1.21679 | + | 0.856601i | ||||
\(213\) | 4.14078 | − | 8.92032i | 0.283722 | − | 0.611210i | ||||
\(214\) | 3.61663 | + | 17.0919i | 0.247228 | + | 1.16838i | ||||
\(215\) | 0.868966 | + | 2.09787i | 0.0592630 | + | 0.143073i | ||||
\(216\) | −6.81111 | + | 13.0234i | −0.463438 | + | 0.886130i | ||||
\(217\) | 4.82439 | − | 11.6471i | 0.327501 | − | 0.790657i | ||||
\(218\) | −1.78198 | + | 9.56579i | −0.120691 | + | 0.647877i | ||||
\(219\) | −2.75711 | − | 7.53438i | −0.186308 | − | 0.509126i | ||||
\(220\) | −3.00521 | − | 1.15992i | −0.202611 | − | 0.0782015i | ||||
\(221\) | −5.22474 | + | 1.03926i | −0.351454 | + | 0.0699085i | ||||
\(222\) | 1.21302 | − | 1.70354i | 0.0814123 | − | 0.114334i | ||||
\(223\) | −23.6640 | −1.58466 | −0.792331 | − | 0.610092i | \(-0.791133\pi\) | ||||
−0.792331 | + | 0.610092i | \(0.791133\pi\) | |||||||
\(224\) | 0.869208 | + | 14.2623i | 0.0580764 | + | 0.952943i | ||||
\(225\) | −1.37600 | + | 2.66582i | −0.0917334 | + | 0.177722i | ||||
\(226\) | 6.09352 | + | 2.43754i | 0.405335 | + | 0.162143i | ||||
\(227\) | −1.00537 | − | 5.05436i | −0.0667291 | − | 0.335470i | 0.932971 | − | 0.359951i | \(-0.117207\pi\) |
−0.999700 | + | 0.0244813i | \(0.992207\pi\) | |||||||
\(228\) | 7.84320 | − | 1.41750i | 0.519429 | − | 0.0938762i | ||||
\(229\) | 16.1855 | − | 10.8148i | 1.06957 | − | 0.714663i | 0.109376 | − | 0.994000i | \(-0.465115\pi\) |
0.960193 | + | 0.279337i | \(0.0901148\pi\) | |||||||
\(230\) | −0.977152 | + | 5.24541i | −0.0644315 | + | 0.345872i | ||||
\(231\) | −4.15687 | + | 5.68994i | −0.273502 | + | 0.374371i | ||||
\(232\) | −4.68243 | − | 0.754823i | −0.307417 | − | 0.0495565i | ||||
\(233\) | 17.2061 | − | 7.12698i | 1.12721 | − | 0.466904i | 0.260376 | − | 0.965507i | \(-0.416154\pi\) |
0.866830 | + | 0.498603i | \(0.166154\pi\) | |||||||
\(234\) | 4.38337 | + | 1.20356i | 0.286550 | + | 0.0786795i | ||||
\(235\) | 0.988314 | − | 4.96859i | 0.0644705 | − | 0.324115i | ||||
\(236\) | 5.73051 | + | 0.995495i | 0.373024 | + | 0.0648012i | ||||
\(237\) | −17.9492 | − | 19.5200i | −1.16593 | − | 1.26796i | ||||
\(238\) | −12.7110 | − | 12.4052i | −0.823931 | − | 0.804110i | ||||
\(239\) | −5.56958 | + | 5.56958i | −0.360266 | + | 0.360266i | −0.863911 | − | 0.503645i | \(-0.831992\pi\) |
0.503645 | + | 0.863911i | \(0.331992\pi\) | |||||||
\(240\) | −5.73429 | + | 3.88817i | −0.370147 | + | 0.250980i | ||||
\(241\) | 10.3957 | + | 10.3957i | 0.669644 | + | 0.669644i | 0.957634 | − | 0.287989i | \(-0.0929867\pi\) |
−0.287989 | + | 0.957634i | \(0.592987\pi\) | |||||||
\(242\) | 0.144714 | + | 11.8867i | 0.00930256 | + | 0.764109i | ||||
\(243\) | −3.24176 | + | 15.2477i | −0.207959 | + | 0.978137i | ||||
\(244\) | 8.21782 | − | 12.9717i | 0.526092 | − | 0.830430i | ||||
\(245\) | −0.607778 | − | 0.120894i | −0.0388295 | − | 0.00772367i | ||||
\(246\) | −0.197419 | + | 0.186018i | −0.0125870 | + | 0.0118601i | ||||
\(247\) | −0.943360 | − | 2.27747i | −0.0600245 | − | 0.144912i | ||||
\(248\) | 13.2305 | + | 4.92234i | 0.840136 | + | 0.312569i | ||||
\(249\) | 11.8481 | − | 16.2177i | 0.750843 | − | 1.02776i | ||||
\(250\) | −1.16622 | + | 0.799951i | −0.0737585 | + | 0.0505934i | ||||
\(251\) | −2.18096 | − | 3.26404i | −0.137661 | − | 0.206025i | 0.756233 | − | 0.654302i | \(-0.227038\pi\) |
−0.893894 | + | 0.448278i | \(0.852038\pi\) | |||||||
\(252\) | 4.95765 | + | 14.3218i | 0.312303 | + | 0.902187i | ||||
\(253\) | −5.96000 | + | 1.18552i | −0.374702 | + | 0.0745329i | ||||
\(254\) | 0.788042 | − | 0.337715i | 0.0494461 | − | 0.0211901i | ||||
\(255\) | 2.03239 | − | 8.36858i | 0.127273 | − | 0.524061i | ||||
\(256\) | −15.9242 | + | 1.55578i | −0.995261 | + | 0.0972364i | ||||
\(257\) | 19.5549i | 1.21980i | 0.792479 | + | 0.609899i | \(0.208790\pi\) | ||||
−0.792479 | + | 0.609899i | \(0.791210\pi\) | |||||||
\(258\) | 0.922506 | + | 5.48506i | 0.0574327 | + | 0.341485i | ||||
\(259\) | −0.420720 | − | 2.11510i | −0.0261423 | − | 0.131426i | ||||
\(260\) | 1.55164 | + | 1.47786i | 0.0962287 | + | 0.0916533i | ||||
\(261\) | −4.99875 | + | 0.565019i | −0.309415 | + | 0.0349738i | ||||
\(262\) | −15.7617 | − | 22.9784i | −0.973759 | − | 1.41961i | ||||
\(263\) | 13.9244 | + | 5.76766i | 0.858613 | + | 0.355649i | 0.768165 | − | 0.640252i | \(-0.221170\pi\) |
0.0904482 | + | 0.995901i | \(0.471170\pi\) | |||||||
\(264\) | −6.53706 | − | 4.41895i | −0.402328 | − | 0.271967i | ||||
\(265\) | −10.0086 | + | 4.14571i | −0.614826 | + | 0.254669i | ||||
\(266\) | 4.48269 | − | 6.88892i | 0.274852 | − | 0.422387i | ||||
\(267\) | 9.55289 | − | 20.5794i | 0.584627 | − | 1.25944i | ||||
\(268\) | −19.1929 | − | 12.1590i | −1.17239 | − | 0.742730i | ||||
\(269\) | 18.3536 | + | 12.2635i | 1.11904 | + | 0.747718i | 0.970479 | − | 0.241186i | \(-0.0775362\pi\) |
0.148560 | + | 0.988903i | \(0.452536\pi\) | |||||||
\(270\) | −4.74843 | + | 5.60825i | −0.288980 | + | 0.341307i | ||||
\(271\) | 2.20350 | − | 2.20350i | 0.133853 | − | 0.133853i | −0.637006 | − | 0.770859i | \(-0.719827\pi\) |
0.770859 | + | 0.637006i | \(0.219827\pi\) | |||||||
\(272\) | 13.3619 | − | 14.7309i | 0.810182 | − | 0.893194i | ||||
\(273\) | 4.00313 | − | 2.43868i | 0.242281 | − | 0.147596i | ||||
\(274\) | −3.56383 | + | 3.65167i | −0.215299 | + | 0.220606i | ||||
\(275\) | −1.33920 | − | 0.894827i | −0.0807569 | − | 0.0539601i | ||||
\(276\) | −5.21266 | + | 11.9851i | −0.313765 | + | 0.721420i | ||||
\(277\) | 3.48459 | + | 0.693129i | 0.209369 | + | 0.0416461i | 0.298660 | − | 0.954359i | \(-0.403460\pi\) |
−0.0892914 | + | 0.996006i | \(0.528460\pi\) | |||||||
\(278\) | 5.14547 | + | 24.3171i | 0.308605 | + | 1.45844i | ||||
\(279\) | 14.9203 | + | 1.25318i | 0.893252 | + | 0.0750260i | ||||
\(280\) | −1.13702 | + | 7.05335i | −0.0679501 | + | 0.421518i | ||||
\(281\) | 6.98120 | + | 2.89171i | 0.416464 | + | 0.172505i | 0.581068 | − | 0.813855i | \(-0.302635\pi\) |
−0.164605 | + | 0.986360i | \(0.552635\pi\) | |||||||
\(282\) | 5.08731 | − | 11.3182i | 0.302945 | − | 0.673988i | ||||
\(283\) | −5.79540 | − | 8.67344i | −0.344501 | − | 0.515582i | 0.618246 | − | 0.785984i | \(-0.287843\pi\) |
−0.962747 | + | 0.270402i | \(0.912843\pi\) | |||||||
\(284\) | 10.3826 | − | 4.59986i | 0.616095 | − | 0.272952i | ||||
\(285\) | 3.98164 | + | 0.166919i | 0.235852 | + | 0.00988741i | ||||
\(286\) | −0.906404 | + | 2.26589i | −0.0535968 | + | 0.133985i | ||||
\(287\) | 0.279716i | 0.0165111i | ||||||||
\(288\) | −15.8235 | + | 6.13322i | −0.932409 | + | 0.361404i | ||||
\(289\) | 7.72122i | 0.454189i | ||||||||
\(290\) | −2.20181 | − | 0.880773i | −0.129295 | − | 0.0517208i | ||||
\(291\) | 0.812023 | + | 0.0340418i | 0.0476016 | + | 0.00199556i | ||||
\(292\) | 3.33582 | − | 8.64274i | 0.195214 | − | 0.505778i | ||||
\(293\) | −12.2310 | − | 18.3049i | −0.714540 | − | 1.06938i | −0.994016 | − | 0.109232i | \(-0.965161\pi\) |
0.279476 | − | 0.960153i | \(-0.409839\pi\) | |||||||
\(294\) | −1.38448 | − | 0.622300i | −0.0807448 | − | 0.0362933i | ||||
\(295\) | 2.68679 | + | 1.11291i | 0.156431 | + | 0.0647959i | ||||
\(296\) | 2.34962 | − | 0.557268i | 0.136569 | − | 0.0323905i | ||||
\(297\) | −7.93891 | − | 2.64888i | −0.460662 | − | 0.153703i | ||||
\(298\) | 0.191234 | − | 0.0404650i | 0.0110779 | − | 0.00234407i | ||||
\(299\) | 3.96462 | + | 0.788613i | 0.229280 | + | 0.0456066i | ||||
\(300\) | −3.22318 | + | 1.26929i | −0.186091 | + | 0.0732822i | ||||
\(301\) | 4.76903 | + | 3.18657i | 0.274883 | + | 0.183671i | ||||
\(302\) | −17.4806 | − | 17.0601i | −1.00590 | − | 0.981699i | ||||
\(303\) | 10.1035 | − | 6.15497i | 0.580430 | − | 0.353594i | ||||
\(304\) | 7.89205 | + | 4.73452i | 0.452640 | + | 0.271544i | ||||
\(305\) | 5.42907 | − | 5.42907i | 0.310868 | − | 0.310868i | ||||
\(306\) | 9.44648 | − | 18.8612i | 0.540020 | − | 1.07822i | ||||
\(307\) | 24.4837 | + | 16.3595i | 1.39736 | + | 0.933687i | 0.999871 | + | 0.0160802i | \(0.00511870\pi\) |
0.397490 | + | 0.917606i | \(0.369881\pi\) | |||||||
\(308\) | −7.93939 | + | 1.78121i | −0.452389 | + | 0.101494i | ||||
\(309\) | 1.51715 | − | 3.26834i | 0.0863077 | − | 0.185929i | ||||
\(310\) | 5.91601 | + | 3.84961i | 0.336007 | + | 0.218643i | ||||
\(311\) | −8.99525 | + | 3.72595i | −0.510074 | + | 0.211279i | −0.622850 | − | 0.782341i | \(-0.714025\pi\) |
0.112777 | + | 0.993620i | \(0.464025\pi\) | |||||||
\(312\) | 2.89258 | + | 4.37984i | 0.163760 | + | 0.247960i | ||||
\(313\) | 15.8402 | + | 6.56123i | 0.895342 | + | 0.370863i | 0.782427 | − | 0.622742i | \(-0.213981\pi\) |
0.112914 | + | 0.993605i | \(0.463981\pi\) | |||||||
\(314\) | 16.4653 | − | 11.2941i | 0.929191 | − | 0.637362i | ||||
\(315\) | 0.851113 | + | 7.52984i | 0.0479548 | + | 0.424258i | ||||
\(316\) | −0.745459 | − | 30.6113i | −0.0419353 | − | 1.72202i | ||||
\(317\) | −0.000568099 | − | 0.00285603i | −3.19076e−5 | − | 0.000160411i | 0.980769 | − | 0.195171i | \(-0.0625260\pi\) |
−0.980801 | + | 0.195010i | \(0.937526\pi\) | |||||||
\(318\) | −26.1685 | + | 4.40115i | −1.46745 | + | 0.246804i | ||||
\(319\) | − | 2.70083i | − | 0.151217i | ||||||
\(320\) | −7.93926 | − | 0.983957i | −0.443818 | − | 0.0550048i | ||||
\(321\) | −5.04961 | + | 20.7923i | −0.281842 | + | 1.16051i | ||||
\(322\) | 5.30880 | + | 12.3879i | 0.295848 | + | 0.690348i | ||||
\(323\) | −11.2200 | + | 2.23179i | −0.624295 | + | 0.124180i | ||||
\(324\) | −14.4145 | + | 10.7806i | −0.800807 | + | 0.598923i | ||||
\(325\) | 0.595243 | + | 0.890844i | 0.0330181 | + | 0.0494152i | ||||
\(326\) | 16.5545 | + | 24.1343i | 0.916868 | + | 1.33667i | ||||
\(327\) | −7.03007 | + | 9.62278i | −0.388764 | + | 0.532141i | ||||
\(328\) | −0.313005 | + | 0.0114365i | −0.0172828 | + | 0.000631472i | ||||
\(329\) | −4.89689 | − | 11.8221i | −0.269974 | − | 0.651775i | ||||
\(330\) | −2.70558 | − | 2.87140i | −0.148937 | − | 0.158065i | ||||
\(331\) | 27.7143 | + | 5.51273i | 1.52332 | + | 0.303007i | 0.884569 | − | 0.466409i | \(-0.154452\pi\) |
0.638749 | + | 0.769416i | \(0.279452\pi\) | |||||||
\(332\) | 22.6292 | − | 5.07690i | 1.24194 | − | 0.278631i | ||||
\(333\) | 2.24125 | − | 1.23974i | 0.122820 | − | 0.0679371i | ||||
\(334\) | −31.5011 | + | 0.383507i | −1.72366 | + | 0.0209846i | ||||
\(335\) | −8.03281 | − | 8.03281i | −0.438879 | − | 0.438879i | ||||
\(336\) | −6.58696 | + | 16.2132i | −0.359348 | + | 0.884501i | ||||
\(337\) | 22.0273 | − | 22.0273i | 1.19990 | − | 1.19990i | 0.225705 | − | 0.974196i | \(-0.427531\pi\) |
0.974196 | − | 0.225705i | \(-0.0724686\pi\) | |||||||
\(338\) | −11.7069 | + | 11.9955i | −0.636773 | + | 0.652468i | ||||
\(339\) | 5.44065 | + | 5.91678i | 0.295496 | + | 0.321355i | ||||
\(340\) | 8.13126 | − | 5.72429i | 0.440979 | − | 0.310443i | ||||
\(341\) | −1.56826 | + | 7.88416i | −0.0849258 | + | 0.426951i | ||||
\(342\) | 9.41316 | + | 2.58462i | 0.509005 | + | 0.139760i | ||||
\(343\) | −17.7817 | + | 7.36542i | −0.960122 | + | 0.397695i | ||||
\(344\) | −3.37082 | + | 5.46689i | −0.181742 | + | 0.294755i | ||||
\(345\) | −3.85495 | + | 5.27666i | −0.207543 | + | 0.284086i | ||||
\(346\) | −4.73792 | − | 0.882613i | −0.254712 | − | 0.0474496i | ||||
\(347\) | −13.4739 | + | 9.00295i | −0.723315 | + | 0.483304i | −0.861920 | − | 0.507044i | \(-0.830738\pi\) |
0.138605 | + | 0.990348i | \(0.455738\pi\) | |||||||
\(348\) | −4.77248 | − | 3.31147i | −0.255832 | − | 0.177513i | ||||
\(349\) | 0.514040 | + | 2.58425i | 0.0275159 | + | 0.138332i | 0.992101 | − | 0.125439i | \(-0.0400338\pi\) |
−0.964585 | + | 0.263771i | \(0.915034\pi\) | |||||||
\(350\) | −1.32675 | + | 3.31668i | −0.0709175 | + | 0.177284i | ||||
\(351\) | 4.20470 | + | 3.64887i | 0.224430 | + | 0.194762i | ||||
\(352\) | −2.31781 | − | 8.81144i | −0.123540 | − | 0.469651i | ||||
\(353\) | 26.1938 | 1.39415 | 0.697077 | − | 0.716996i | \(-0.254483\pi\) | ||||
0.697077 | + | 0.716996i | \(0.254483\pi\) | |||||||
\(354\) | 5.80276 | + | 4.13190i | 0.308413 | + | 0.219608i | ||||
\(355\) | 5.56888 | − | 1.10772i | 0.295565 | − | 0.0587916i | ||||
\(356\) | 23.9530 | − | 10.6120i | 1.26951 | − | 0.562435i | ||||
\(357\) | −7.47539 | − | 20.4281i | −0.395639 | − | 1.08117i | ||||
\(358\) | −7.84116 | − | 1.46071i | −0.414418 | − | 0.0772007i | ||||
\(359\) | 3.70332 | − | 8.94061i | 0.195454 | − | 0.471867i | −0.795519 | − | 0.605928i | \(-0.792802\pi\) |
0.990973 | + | 0.134061i | \(0.0428018\pi\) | |||||||
\(360\) | −8.39117 | + | 1.26027i | −0.442253 | + | 0.0664220i | ||||
\(361\) | 5.24515 | + | 12.6629i | 0.276061 | + | 0.666469i | ||||
\(362\) | −24.9139 | + | 5.27177i | −1.30945 | + | 0.277078i | ||||
\(363\) | −6.13012 | + | 13.2059i | −0.321748 | + | 0.693129i | ||||
\(364\) | 5.33274 | + | 0.926395i | 0.279511 | + | 0.0485563i | ||||
\(365\) | 2.57345 | − | 3.85144i | 0.134700 | − | 0.201593i | ||||
\(366\) | 15.9409 | − | 9.97917i | 0.833246 | − | 0.521620i | ||||
\(367\) | 22.1495 | + | 22.1495i | 1.15619 | + | 1.15619i | 0.985287 | + | 0.170907i | \(0.0546698\pi\) |
0.170907 | + | 0.985287i | \(0.445330\pi\) | |||||||
\(368\) | −13.6451 | + | 6.44710i | −0.711299 | + | 0.336078i | ||||
\(369\) | −0.316489 | + | 0.100998i | −0.0164758 | + | 0.00525773i | ||||
\(370\) | 1.20731 | − | 0.0146983i | 0.0627651 | − | 0.000764127i | ||||
\(371\) | −15.2027 | + | 22.7524i | −0.789283 | + | 1.18125i | ||||
\(372\) | 12.0088 | + | 12.4379i | 0.622627 | + | 0.644874i | ||||
\(373\) | 0.728316 | − | 3.66149i | 0.0377108 | − | 0.189585i | −0.957338 | − | 0.288969i | \(-0.906687\pi\) |
0.995049 | + | 0.0993846i | \(0.0316874\pi\) | |||||||
\(374\) | 9.49254 | + | 6.17690i | 0.490848 | + | 0.319400i | ||||
\(375\) | −1.71143 | + | 0.266456i | −0.0883780 | + | 0.0137597i | ||||
\(376\) | 13.0289 | − | 5.96303i | 0.671913 | − | 0.307520i | ||||
\(377\) | −0.687531 | + | 1.65985i | −0.0354097 | + | 0.0854865i | ||||
\(378\) | −2.10259 | + | 18.4422i | −0.108145 | + | 0.948566i | ||||
\(379\) | −15.2798 | + | 10.2097i | −0.784872 | + | 0.524435i | −0.882232 | − | 0.470814i | \(-0.843960\pi\) |
0.0973601 | + | 0.995249i | \(0.468960\pi\) | |||||||
\(380\) | 3.33210 | + | 3.17367i | 0.170933 | + | 0.162806i | ||||
\(381\) | 1.04912 | + | 0.0439815i | 0.0537481 | + | 0.00225324i | ||||
\(382\) | −6.74540 | − | 15.7401i | −0.345125 | − | 0.805333i | ||||
\(383\) | −0.661932 | −0.0338231 | −0.0169116 | − | 0.999857i | \(-0.505383\pi\) | ||||
−0.0169116 | + | 0.999857i | \(0.505383\pi\) | |||||||
\(384\) | −18.4120 | − | 6.70799i | −0.939585 | − | 0.342316i | ||||
\(385\) | −4.06837 | −0.207344 | ||||||||
\(386\) | −14.8650 | − | 34.6869i | −0.756610 | − | 1.76552i | ||||
\(387\) | −1.88352 | + | 6.54658i | −0.0957449 | + | 0.332781i | ||||
\(388\) | 0.679555 | + | 0.647244i | 0.0344992 | + | 0.0328588i | ||||
\(389\) | 13.7921 | − | 9.21558i | 0.699287 | − | 0.467248i | −0.154418 | − | 0.988006i | \(-0.549350\pi\) |
0.853705 | + | 0.520757i | \(0.174350\pi\) | |||||||
\(390\) | 0.931814 | + | 2.45341i | 0.0471843 | + | 0.124233i | ||||
\(391\) | 7.17872 | − | 17.3310i | 0.363044 | − | 0.876465i | ||||
\(392\) | −0.729421 | − | 1.59374i | −0.0368413 | − | 0.0804962i | ||||
\(393\) | −5.25006 | − | 33.7208i | −0.264831 | − | 1.70099i | ||||
\(394\) | −7.27313 | − | 4.73270i | −0.366415 | − | 0.238430i | ||||
\(395\) | 2.98687 | − | 15.0160i | 0.150286 | − | 0.755538i | ||||
\(396\) | −4.88208 | − | 8.34001i | −0.245334 | − | 0.419101i | ||||
\(397\) | 10.0550 | − | 15.0484i | 0.504647 | − | 0.755258i | −0.488445 | − | 0.872595i | \(-0.662436\pi\) |
0.993092 | + | 0.117337i | \(0.0374357\pi\) | |||||||
\(398\) | −27.6658 | + | 0.336814i | −1.38676 | + | 0.0168830i | ||||
\(399\) | 8.59661 | − | 5.23698i | 0.430369 | − | 0.262177i | ||||
\(400\) | −3.76565 | − | 1.34904i | −0.188282 | − | 0.0674518i | ||||
\(401\) | −16.0793 | − | 16.0793i | −0.802963 | − | 0.802963i | 0.180595 | − | 0.983558i | \(-0.442198\pi\) |
−0.983558 | + | 0.180595i | \(0.942198\pi\) | |||||||
\(402\) | −14.7651 | − | 23.5861i | −0.736417 | − | 1.17637i | ||||
\(403\) | 2.97082 | − | 4.44614i | 0.147987 | − | 0.221478i | ||||
\(404\) | 13.4593 | + | 2.33812i | 0.669624 | + | 0.116326i | ||||
\(405\) | −8.21244 | + | 3.68182i | −0.408079 | + | 0.182951i | ||||
\(406\) | −5.86033 | + | 1.24004i | −0.290843 | + | 0.0615422i | ||||
\(407\) | 0.526230 | + | 1.27043i | 0.0260843 | + | 0.0629730i | ||||
\(408\) | 22.5536 | − | 9.20026i | 1.11657 | − | 0.455481i | ||||
\(409\) | −2.93979 | + | 7.09728i | −0.145363 | + | 0.350938i | −0.979745 | − | 0.200249i | \(-0.935825\pi\) |
0.834382 | + | 0.551187i | \(0.185825\pi\) | |||||||
\(410\) | −0.153958 | − | 0.0286804i | −0.00760346 | − | 0.00141642i | ||||
\(411\) | −5.86868 | + | 2.14757i | −0.289480 | + | 0.105932i | ||||
\(412\) | 3.80412 | − | 1.68536i | 0.187415 | − | 0.0830316i | ||||
\(413\) | 7.20467 | − | 1.43310i | 0.354519 | − | 0.0705181i | ||||
\(414\) | −12.0996 | + | 10.4796i | −0.594662 | + | 0.515047i | ||||
\(415\) | 11.5959 | 0.569219 | ||||||||
\(416\) | −0.818612 | + | 6.00527i | −0.0401358 | + | 0.294433i | ||||
\(417\) | −7.18422 | + | 29.5818i | −0.351813 | + | 1.44863i | ||||
\(418\) | −1.94647 | + | 4.86592i | −0.0952052 | + | 0.238000i | ||||
\(419\) | 0.0406751 | + | 0.204488i | 0.00198711 | + | 0.00998988i | 0.981766 | − | 0.190093i | \(-0.0608789\pi\) |
−0.979779 | + | 0.200083i | \(0.935879\pi\) | |||||||
\(420\) | −4.98821 | + | 7.18899i | −0.243400 | + | 0.350787i | ||||
\(421\) | 4.89688 | − | 3.27199i | 0.238659 | − | 0.159467i | −0.430489 | − | 0.902596i | \(-0.641659\pi\) |
0.669149 | + | 0.743129i | \(0.266659\pi\) | |||||||
\(422\) | 29.2574 | + | 5.45027i | 1.42423 | + | 0.265315i | ||||
\(423\) | 11.6082 | − | 9.80930i | 0.564410 | − | 0.476945i | ||||
\(424\) | −26.0817 | − | 16.0817i | −1.26664 | − | 0.780996i | ||||
\(425\) | 4.59357 | − | 1.90272i | 0.222821 | − | 0.0922954i | ||||
\(426\) | 13.9020 | + | 0.413342i | 0.673554 | + | 0.0200265i | ||||
\(427\) | 3.78353 | − | 19.0211i | 0.183098 | − | 0.920495i | ||||
\(428\) | −20.2027 | + | 14.2224i | −0.976533 | + | 0.687466i | ||||
\(429\) | −2.20016 | + | 2.02311i | −0.106225 | + | 0.0976769i | ||||
\(430\) | −2.24291 | + | 2.29819i | −0.108163 | + | 0.110829i | ||||
\(431\) | 23.2684 | − | 23.2684i | 1.12080 | − | 1.12080i | 0.129175 | − | 0.991622i | \(-0.458767\pi\) |
0.991622 | − | 0.129175i | \(-0.0412330\pi\) | |||||||
\(432\) | −20.7230 | − | 1.59879i | −0.997037 | − | 0.0769216i | ||||
\(433\) | 19.9489 | + | 19.9489i | 0.958682 | + | 0.958682i | 0.999180 | − | 0.0404977i | \(-0.0128944\pi\) |
−0.0404977 | + | 0.999180i | \(0.512894\pi\) | |||||||
\(434\) | 17.8273 | − | 0.217036i | 0.855737 | − | 0.0104181i | ||||
\(435\) | −1.96590 | − | 2.13795i | −0.0942579 | − | 0.102507i | ||||
\(436\) | −13.4270 | + | 3.01238i | −0.643038 | + | 0.144267i | ||||
\(437\) | 8.51390 | + | 1.69352i | 0.407275 | + | 0.0810121i | ||||
\(438\) | 8.25790 | − | 7.78102i | 0.394578 | − | 0.371791i | ||||
\(439\) | 3.07196 | + | 7.41636i | 0.146617 | + | 0.353964i | 0.980078 | − | 0.198614i | \(-0.0636441\pi\) |
−0.833461 | + | 0.552578i | \(0.813644\pi\) | |||||||
\(440\) | −0.166339 | − | 4.55255i | −0.00792992 | − | 0.217035i | ||||
\(441\) | −1.19991 | − | 1.41996i | −0.0571387 | − | 0.0676172i | ||||
\(442\) | −4.26142 | − | 6.21258i | −0.202695 | − | 0.295502i | ||||
\(443\) | 2.85713 | + | 4.27599i | 0.135746 | + | 0.203158i | 0.893114 | − | 0.449829i | \(-0.148515\pi\) |
−0.757368 | + | 0.652988i | \(0.773515\pi\) | |||||||
\(444\) | 2.89011 | + | 0.627798i | 0.137159 | + | 0.0297940i | ||||
\(445\) | 12.8475 | − | 2.55553i | 0.609032 | − | 0.121144i | ||||
\(446\) | −13.1823 | − | 30.7604i | −0.624201 | − | 1.45655i | ||||
\(447\) | 0.232637 | + | 0.0564981i | 0.0110033 | + | 0.00267227i | ||||
\(448\) | −18.0551 | + | 9.07487i | −0.853024 | + | 0.428747i | ||||
\(449\) | − | 16.6884i | − | 0.787573i | −0.919202 | − | 0.393786i | \(-0.871165\pi\) | ||
0.919202 | − | 0.393786i | \(-0.128835\pi\) | |||||||
\(450\) | −4.23176 | − | 0.303604i | −0.199487 | − | 0.0143120i | ||||
\(451\) | −0.0347962 | − | 0.174932i | −0.00163849 | − | 0.00823723i | ||||
\(452\) | 0.225958 | + | 9.27870i | 0.0106282 | + | 0.436433i | ||||
\(453\) | −10.2804 | − | 28.0934i | −0.483017 | − | 1.31994i | ||||
\(454\) | 6.01000 | − | 4.12245i | 0.282063 | − | 0.193476i | ||||
\(455\) | 2.50030 | + | 1.03566i | 0.117216 | + | 0.0485524i | ||||
\(456\) | 6.21172 | + | 9.40557i | 0.290891 | + | 0.440456i | ||||
\(457\) | −20.9382 | + | 8.67287i | −0.979446 | + | 0.405700i | −0.814220 | − | 0.580556i | \(-0.802835\pi\) |
−0.165226 | + | 0.986256i | \(0.552835\pi\) | |||||||
\(458\) | 23.0743 | + | 15.0147i | 1.07819 | + | 0.701590i | ||||
\(459\) | 20.4145 | − | 15.8342i | 0.952868 | − | 0.739075i | ||||
\(460\) | −7.36273 | + | 1.65184i | −0.343289 | + | 0.0770174i | ||||
\(461\) | −3.91190 | − | 2.61385i | −0.182196 | − | 0.121739i | 0.461128 | − | 0.887334i | \(-0.347445\pi\) |
−0.643323 | + | 0.765595i | \(0.722445\pi\) | |||||||
\(462\) | −9.71186 | − | 2.23378i | −0.451837 | − | 0.103925i | ||||
\(463\) | 5.13941 | − | 5.13941i | 0.238849 | − | 0.238849i | −0.577525 | − | 0.816373i | \(-0.695981\pi\) |
0.816373 | + | 0.577525i | \(0.195981\pi\) | |||||||
\(464\) | −1.62722 | − | 6.50707i | −0.0755420 | − | 0.302083i | ||||
\(465\) | 4.49738 | + | 7.38253i | 0.208561 | + | 0.342356i | ||||
\(466\) | 18.8490 | + | 18.3956i | 0.873164 | + | 0.852160i | ||||
\(467\) | −5.30296 | − | 3.54333i | −0.245392 | − | 0.163966i | 0.426792 | − | 0.904350i | \(-0.359644\pi\) |
−0.672184 | + | 0.740384i | \(0.734644\pi\) | |||||||
\(468\) | 0.877321 | + | 6.36831i | 0.0405542 | + | 0.294375i | ||||
\(469\) | −28.1434 | − | 5.59808i | −1.29954 | − | 0.258495i | ||||
\(470\) | 7.00911 | − | 1.48312i | 0.323306 | − | 0.0684113i | ||||
\(471\) | 24.1628 | − | 3.76196i | 1.11336 | − | 0.173342i | ||||
\(472\) | 1.89822 | + | 8.00351i | 0.0873728 | + | 0.368391i | ||||
\(473\) | −3.37892 | − | 1.39960i | −0.155363 | − | 0.0643535i | ||||
\(474\) | 15.3748 | − | 34.2057i | 0.706189 | − | 1.57112i | ||||
\(475\) | 1.27827 | + | 1.91306i | 0.0586509 | + | 0.0877772i | ||||
\(476\) | 9.04446 | − | 23.4332i | 0.414552 | − | 1.07406i | ||||
\(477\) | −31.2328 | − | 8.98603i | −1.43005 | − | 0.411442i | ||||
\(478\) | −10.3424 | − | 4.13718i | −0.473049 | − | 0.189230i | ||||
\(479\) | − | 32.1184i | − | 1.46753i | −0.679404 | − | 0.733765i | \(-0.737761\pi\) | ||
0.679404 | − | 0.733765i | \(-0.262239\pi\) | |||||||
\(480\) | −8.24850 | − | 5.28793i | −0.376491 | − | 0.241360i | ||||
\(481\) | − | 0.914727i | − | 0.0417080i | ||||||
\(482\) | −7.72208 | + | 19.3041i | −0.351731 | + | 0.879280i | ||||
\(483\) | −0.691380 | + | 16.4920i | −0.0314589 | + | 0.750411i | ||||
\(484\) | −15.3707 | + | 6.80976i | −0.698668 | + | 0.309534i | ||||
\(485\) | 0.260692 | + | 0.390153i | 0.0118374 | + | 0.0177160i | ||||
\(486\) | −21.6260 | + | 4.27998i | −0.980973 | + | 0.194144i | ||||
\(487\) | 22.7425 | + | 9.42027i | 1.03056 | + | 0.426873i | 0.832916 | − | 0.553400i | \(-0.186670\pi\) |
0.197647 | + | 0.980273i | \(0.436670\pi\) | |||||||
\(488\) | 21.4395 | + | 3.45611i | 0.970520 | + | 0.156451i | ||||
\(489\) | 5.51414 | + | 35.4170i | 0.249358 | + | 1.60161i | ||||
\(490\) | −0.181421 | − | 0.857382i | −0.00819578 | − | 0.0387326i | ||||
\(491\) | 11.7783 | + | 2.34285i | 0.531546 | + | 0.105731i | 0.453564 | − | 0.891224i | \(-0.350152\pi\) |
0.0779822 | + | 0.996955i | \(0.475152\pi\) | |||||||
\(492\) | −0.351776 | − | 0.152997i | −0.0158593 | − | 0.00689764i | ||||
\(493\) | 6.93232 | + | 4.63203i | 0.312216 | + | 0.208616i | ||||
\(494\) | 2.43493 | − | 2.49494i | 0.109553 | − | 0.112253i | ||||
\(495\) | −1.46898 | − | 4.60323i | −0.0660257 | − | 0.206900i | ||||
\(496\) | 0.971752 | + | 19.9401i | 0.0436330 | + | 0.895335i | ||||
\(497\) | 10.1414 | − | 10.1414i | 0.454906 | − | 0.454906i | ||||
\(498\) | 27.6812 | + | 6.36682i | 1.24042 | + | 0.285304i | ||||
\(499\) | −1.40249 | − | 0.937117i | −0.0627843 | − | 0.0419511i | 0.523782 | − | 0.851852i | \(-0.324521\pi\) |
−0.586566 | + | 0.809901i | \(0.699521\pi\) | |||||||
\(500\) | −1.68950 | − | 1.07033i | −0.0755566 | − | 0.0478665i | ||||
\(501\) | −34.9970 | − | 16.2455i | −1.56355 | − | 0.725793i | ||||
\(502\) | 3.02793 | − | 4.65326i | 0.135143 | − | 0.207685i | ||||
\(503\) | 21.4968 | − | 8.90428i | 0.958497 | − | 0.397022i | 0.152079 | − | 0.988368i | \(-0.451403\pi\) |
0.806418 | + | 0.591346i | \(0.201403\pi\) | |||||||
\(504\) | −15.8548 | + | 14.4224i | −0.706231 | + | 0.642427i | ||||
\(505\) | 6.31049 | + | 2.61389i | 0.280813 | + | 0.116317i | ||||
\(506\) | −4.86112 | − | 7.08687i | −0.216103 | − | 0.315050i | ||||
\(507\) | −19.2782 | + | 7.05460i | −0.856174 | + | 0.313306i | ||||
\(508\) | 0.877975 | + | 0.836230i | 0.0389539 | + | 0.0371017i | ||||
\(509\) | 4.41384 | + | 22.1899i | 0.195640 | + | 0.983549i | 0.946406 | + | 0.322980i | \(0.104685\pi\) |
−0.750766 | + | 0.660569i | \(0.770315\pi\) | |||||||
\(510\) | 12.0103 | − | 2.01995i | 0.531825 | − | 0.0894450i | ||||
\(511\) | − | 11.7003i | − | 0.517591i | ||||||
\(512\) | −10.8931 | − | 19.8328i | −0.481410 | − | 0.876495i | ||||
\(513\) | 9.02947 | + | 7.83584i | 0.398661 | + | 0.345961i | ||||
\(514\) | −25.4189 | + | 10.8933i | −1.12118 | + | 0.480481i | ||||
\(515\) | 2.04039 | − | 0.405860i | 0.0899105 | − | 0.0178843i | ||||
\(516\) | −6.61602 | + | 4.25466i | −0.291254 | + | 0.187301i | ||||
\(517\) | 4.53313 | + | 6.78431i | 0.199367 | + | 0.298373i | ||||
\(518\) | 2.51501 | − | 1.72513i | 0.110503 | − | 0.0757977i | ||||
\(519\) | −4.76615 | − | 3.48198i | −0.209211 | − | 0.152842i | ||||
\(520\) | −1.05668 | + | 2.84020i | −0.0463387 | + | 0.124551i | ||||
\(521\) | 7.11760 | + | 17.1834i | 0.311828 | + | 0.752819i | 0.999637 | + | 0.0269278i | \(0.00857241\pi\) |
−0.687810 | + | 0.725891i | \(0.741428\pi\) | |||||||
\(522\) | −3.51907 | − | 6.18302i | −0.154025 | − | 0.270623i | ||||
\(523\) | −8.78136 | − | 1.74672i | −0.383982 | − | 0.0763788i | −0.000675031 | − | 1.00000i | \(-0.500215\pi\) |
−0.383307 | + | 0.923621i | \(0.625215\pi\) | |||||||
\(524\) | 21.0889 | − | 33.2886i | 0.921275 | − | 1.45422i | ||||
\(525\) | −3.22048 | + | 2.96133i | −0.140553 | + | 0.129243i | ||||
\(526\) | 0.259472 | + | 21.3129i | 0.0113135 | + | 0.929287i | ||||
\(527\) | −17.5469 | − | 17.5469i | −0.764357 | − | 0.764357i | ||||
\(528\) | 2.10254 | − | 10.9590i | 0.0915015 | − | 0.476930i | ||||
\(529\) | 6.19808 | − | 6.19808i | 0.269482 | − | 0.269482i | ||||
\(530\) | −10.9643 | − | 10.7006i | −0.476261 | − | 0.464804i | ||||
\(531\) | 4.22291 | + | 7.63439i | 0.183259 | + | 0.331304i | ||||
\(532\) | 11.4519 | + | 1.98941i | 0.496502 | + | 0.0862516i | ||||
\(533\) | −0.0231466 | + | 0.116366i | −0.00100259 | + | 0.00504036i | ||||
\(534\) | 32.0723 | + | 0.953592i | 1.38790 | + | 0.0412659i | ||||
\(535\) | −11.4130 | + | 4.72744i | −0.493429 | + | 0.204385i | ||||
\(536\) | 5.11364 | − | 31.7217i | 0.220876 | − | 1.37017i | ||||
\(537\) | −7.88788 | − | 5.76261i | −0.340387 | − | 0.248675i | ||||
\(538\) | −5.71695 | + | 30.6890i | −0.246475 | + | 1.32309i | ||||
\(539\) | 0.829883 | − | 0.554510i | 0.0357456 | − | 0.0238844i | ||||
\(540\) | −9.93520 | − | 3.04824i | −0.427543 | − | 0.131175i | ||||
\(541\) | 1.31313 | + | 6.60154i | 0.0564558 | + | 0.283822i | 0.998692 | − | 0.0511262i | \(-0.0162811\pi\) |
−0.942236 | + | 0.334949i | \(0.891281\pi\) | |||||||
\(542\) | 4.09176 | + | 1.63679i | 0.175756 | + | 0.0703063i | ||||
\(543\) | −30.3079 | − | 7.36056i | −1.30063 | − | 0.315872i | ||||
\(544\) | 26.5918 | + | 9.16276i | 1.14011 | + | 0.392850i | ||||
\(545\) | −6.88040 | −0.294724 | ||||||||
\(546\) | 5.39998 | + | 3.84509i | 0.231098 | + | 0.164555i | ||||
\(547\) | −8.56950 | + | 1.70458i | −0.366405 | + | 0.0728825i | −0.374859 | − | 0.927082i | \(-0.622309\pi\) |
0.00845400 | + | 0.999964i | \(0.497309\pi\) | |||||||
\(548\) | −6.73200 | − | 2.59834i | −0.287577 | − | 0.110995i | ||||
\(549\) | 22.8878 | − | 2.58706i | 0.976829 | − | 0.110413i | ||||
\(550\) | 0.417147 | − | 2.23927i | 0.0177872 | − | 0.0954829i | ||||
\(551\) | −1.47645 | + | 3.56447i | −0.0628990 | + | 0.151852i | ||||
\(552\) | −18.4830 | − | 0.0993701i | −0.786688 | − | 0.00422947i | ||||
\(553\) | −14.7993 | − | 35.7287i | −0.629331 | − | 1.51934i | ||||
\(554\) | 1.04015 | + | 4.91566i | 0.0441917 | + | 0.208846i | ||||
\(555\) | 1.34129 | + | 0.622623i | 0.0569347 | + | 0.0264289i | ||||
\(556\) | −28.7429 | + | 20.2346i | −1.21897 | + | 0.858138i | ||||
\(557\) | −20.8881 | + | 31.2612i | −0.885056 | + | 1.32458i | 0.0601782 | + | 0.998188i | \(0.480833\pi\) |
−0.945234 | + | 0.326392i | \(0.894167\pi\) | |||||||
\(558\) | 6.68251 | + | 20.0926i | 0.282893 | + | 0.850588i | ||||
\(559\) | 1.72030 | + | 1.72030i | 0.0727608 | + | 0.0727608i | ||||
\(560\) | −9.80188 | + | 2.45116i | −0.414205 | + | 0.103580i | ||||
\(561\) | 7.21627 | + | 11.8456i | 0.304671 | + | 0.500123i | ||||
\(562\) | 0.130090 | + | 10.6856i | 0.00548753 | + | 0.450744i | ||||
\(563\) | 21.6831 | − | 32.4511i | 0.913835 | − | 1.36765i | −0.0160783 | − | 0.999871i | \(-0.505118\pi\) |
0.929913 | − | 0.367780i | \(-0.119882\pi\) | |||||||
\(564\) | 17.5462 | + | 0.307968i | 0.738828 | + | 0.0129678i | ||||
\(565\) | −0.905360 | + | 4.55155i | −0.0380888 | + | 0.191485i | ||||
\(566\) | 8.04601 | − | 12.3650i | 0.338199 | − | 0.519738i | ||||
\(567\) | −12.0812 | + | 19.2575i | −0.507364 | + | 0.808737i | ||||
\(568\) | 11.7630 | + | 10.9337i | 0.493565 | + | 0.458769i | ||||
\(569\) | 11.1604 | − | 26.9437i | 0.467870 | − | 1.12954i | −0.497222 | − | 0.867623i | \(-0.665646\pi\) |
0.965091 | − | 0.261914i | \(-0.0843535\pi\) | |||||||
\(570\) | 2.00104 | + | 5.26863i | 0.0838144 | + | 0.220678i | ||||
\(571\) | 9.73116 | − | 6.50215i | 0.407236 | − | 0.272107i | −0.335036 | − | 0.942205i | \(-0.608748\pi\) |
0.742272 | + | 0.670099i | \(0.233748\pi\) | |||||||
\(572\) | −3.45030 | + | 0.0840230i | −0.144264 | + | 0.00351318i | ||||
\(573\) | 0.878471 | − | 20.9548i | 0.0366987 | − | 0.875400i | ||||
\(574\) | −0.363596 | + | 0.155819i | −0.0151762 | + | 0.00650375i | ||||
\(575\) | −3.77288 | −0.157340 | ||||||||
\(576\) | −16.7871 | − | 17.1521i | −0.699463 | − | 0.714669i | ||||
\(577\) | 12.9165 | 0.537721 | 0.268860 | − | 0.963179i | \(-0.413353\pi\) | ||||
0.268860 | + | 0.963179i | \(0.413353\pi\) | |||||||
\(578\) | −10.0366 | + | 4.30119i | −0.417469 | + | 0.178906i | ||||
\(579\) | 1.93591 | − | 46.1788i | 0.0804538 | − | 1.91912i | ||||
\(580\) | −0.0816470 | − | 3.35273i | −0.00339021 | − | 0.139215i | ||||
\(581\) | 24.3540 | − | 16.2728i | 1.01037 | − | 0.675111i | ||||
\(582\) | 0.408097 | + | 1.07449i | 0.0169161 | + | 0.0445392i | ||||
\(583\) | 6.67727 | − | 16.1204i | 0.276544 | − | 0.667637i | ||||
\(584\) | 13.0928 | − | 0.478379i | 0.541783 | − | 0.0197954i | ||||
\(585\) | −0.269022 | + | 3.20295i | −0.0111227 | + | 0.132426i | ||||
\(586\) | 16.9808 | − | 26.0957i | 0.701469 | − | 1.07800i | ||||
\(587\) | 5.05908 | − | 25.4337i | 0.208810 | − | 1.04976i | −0.724112 | − | 0.689683i | \(-0.757750\pi\) |
0.932922 | − | 0.360078i | \(-0.117250\pi\) | |||||||
\(588\) | 0.0376719 | − | 2.14632i | 0.00155356 | − | 0.0885128i | ||||
\(589\) | 6.37973 | − | 9.54795i | 0.262872 | − | 0.393416i | ||||
\(590\) | 0.0500667 | + | 4.11246i | 0.00206121 | + | 0.169307i | ||||
\(591\) | −5.52906 | − | 9.07605i | −0.227435 | − | 0.373339i | ||||
\(592\) | 2.03326 | + | 2.74379i | 0.0835666 | + | 0.112769i | ||||
\(593\) | 23.3893 | + | 23.3893i | 0.960482 | + | 0.960482i | 0.999248 | − | 0.0387660i | \(-0.0123427\pi\) |
−0.0387660 | + | 0.999248i | \(0.512343\pi\) | |||||||
\(594\) | −0.979242 | − | 11.7952i | −0.0401788 | − | 0.483963i | ||||
\(595\) | 6.97742 | − | 10.4424i | 0.286046 | − | 0.428099i | ||||
\(596\) | 0.159129 | + | 0.226039i | 0.00651816 | + | 0.00925894i | ||||
\(597\) | −30.7360 | − | 14.2675i | −1.25794 | − | 0.583931i | ||||
\(598\) | 1.18344 | + | 5.59283i | 0.0483944 | + | 0.228708i | ||||
\(599\) | 14.7425 | + | 35.5915i | 0.602362 | + | 1.45423i | 0.871143 | + | 0.491029i | \(0.163379\pi\) |
−0.268782 | + | 0.963201i | \(0.586621\pi\) | |||||||
\(600\) | −3.44543 | − | 3.48268i | −0.140659 | − | 0.142180i | ||||
\(601\) | −9.47695 | + | 22.8794i | −0.386573 | + | 0.933269i | 0.604088 | + | 0.796918i | \(0.293538\pi\) |
−0.990661 | + | 0.136352i | \(0.956462\pi\) | |||||||
\(602\) | −1.48550 | + | 7.97428i | −0.0605446 | + | 0.325007i | ||||
\(603\) | −3.82779 | − | 33.8647i | −0.155880 | − | 1.37908i | ||||
\(604\) | 12.4383 | − | 32.2262i | 0.506106 | − | 1.31127i | ||||
\(605\) | −8.24431 | + | 1.63989i | −0.335179 | + | 0.0666712i | ||||
\(606\) | 13.6290 | + | 9.70461i | 0.553639 | + | 0.394223i | ||||
\(607\) | −43.8635 | −1.78036 | −0.890182 | − | 0.455605i | \(-0.849423\pi\) | ||||
−0.890182 | + | 0.455605i | \(0.849423\pi\) | |||||||
\(608\) | −1.75794 | + | 12.8961i | −0.0712940 | + | 0.523007i | ||||
\(609\) | −7.12910 | − | 1.73137i | −0.288886 | − | 0.0701587i | ||||
\(610\) | 10.0814 | + | 4.03280i | 0.408186 | + | 0.163283i | ||||
\(611\) | −1.05889 | − | 5.32339i | −0.0428381 | − | 0.215361i | ||||
\(612\) | 29.7796 | + | 1.77241i | 1.20377 | + | 0.0716456i | ||||
\(613\) | 32.4040 | − | 21.6517i | 1.30879 | − | 0.874503i | 0.311656 | − | 0.950195i | \(-0.399117\pi\) |
0.997131 | + | 0.0756918i | \(0.0241165\pi\) | |||||||
\(614\) | −7.62642 | + | 40.9391i | −0.307777 | + | 1.65217i | ||||
\(615\) | −0.154876 | − | 0.113147i | −0.00624518 | − | 0.00456251i | ||||
\(616\) | −6.73809 | − | 9.32800i | −0.271485 | − | 0.375836i | ||||
\(617\) | −29.7498 | + | 12.3228i | −1.19768 | + | 0.496096i | −0.890249 | − | 0.455474i | \(-0.849470\pi\) |
−0.307432 | + | 0.951570i | \(0.599470\pi\) | |||||||
\(618\) | 5.09359 | + | 0.151446i | 0.204894 | + | 0.00609204i | ||||
\(619\) | −0.732516 | + | 3.68261i | −0.0294423 | + | 0.148016i | −0.992710 | − | 0.120526i | \(-0.961542\pi\) |
0.963268 | + | 0.268542i | \(0.0865419\pi\) | |||||||
\(620\) | −1.70845 | + | 9.83457i | −0.0686128 | + | 0.394966i | ||||
\(621\) | −18.9098 | + | 5.17253i | −0.758823 | + | 0.207567i | ||||
\(622\) | −9.85419 | − | 9.61714i | −0.395117 | − | 0.385612i | ||||
\(623\) | 23.3966 | − | 23.3966i | 0.937363 | − | 0.937363i | ||||
\(624\) | −4.08192 | + | 6.19984i | −0.163407 | + | 0.248192i | ||||
\(625\) | −0.707107 | − | 0.707107i | −0.0282843 | − | 0.0282843i | ||||
\(626\) | 0.295172 | + | 24.2453i | 0.0117975 | + | 0.969039i | ||||
\(627\) | −4.72478 | + | 4.34457i | −0.188690 | + | 0.173506i | ||||
\(628\) | 23.8531 | + | 15.1114i | 0.951843 | + | 0.603010i | ||||
\(629\) | −4.16337 | − | 0.828146i | −0.166004 | − | 0.0330203i | ||||
\(630\) | −9.31375 | + | 5.30092i | −0.371069 | + | 0.211194i | ||||
\(631\) | −10.2998 | − | 24.8659i | −0.410029 | − | 0.989897i | −0.985129 | − | 0.171815i | \(-0.945037\pi\) |
0.575100 | − | 0.818083i | \(-0.304963\pi\) | |||||||
\(632\) | 39.3757 | − | 18.0214i | 1.56628 | − | 0.716852i | ||||
\(633\) | 29.4317 | + | 21.5018i | 1.16981 | + | 0.854619i | ||||
\(634\) | 0.00339602 | − | 0.00232944i | 0.000134873 | − | 9.25140e-5i | ||||
\(635\) | 0.336810 | + | 0.504073i | 0.0133659 | + | 0.0200035i | ||||
\(636\) | −20.2984 | − | 31.5641i | −0.804884 | − | 1.25160i | ||||
\(637\) | −0.651179 | + | 0.129527i | −0.0258006 | + | 0.00513207i | ||||
\(638\) | 3.51075 | − | 1.50453i | 0.138992 | − | 0.0595648i | ||||
\(639\) | 15.1365 | + | 7.81290i | 0.598790 | + | 0.309073i | ||||
\(640\) | −3.14363 | − | 10.8682i | −0.124263 | − | 0.429603i | ||||
\(641\) | 11.5716i | 0.457049i | 0.973538 | + | 0.228525i | \(0.0733902\pi\) | ||||
−0.973538 | + | 0.228525i | \(0.926610\pi\) | |||||||
\(642\) | −29.8404 | + | 5.01871i | −1.17771 | + | 0.198073i | ||||
\(643\) | 3.23824 | + | 16.2797i | 0.127704 | + | 0.642010i | 0.990618 | + | 0.136660i | \(0.0436366\pi\) |
−0.862914 | + | 0.505350i | \(0.831363\pi\) | |||||||
\(644\) | −13.1454 | + | 13.8016i | −0.518000 | + | 0.543859i | ||||
\(645\) | −3.69347 | + | 1.35158i | −0.145430 | + | 0.0532183i | ||||
\(646\) | −9.15126 | − | 13.3413i | −0.360051 | − | 0.524908i | ||||
\(647\) | −7.69523 | − | 3.18747i | −0.302531 | − | 0.125312i | 0.226254 | − | 0.974068i | \(-0.427352\pi\) |
−0.528785 | + | 0.848756i | \(0.677352\pi\) | |||||||
\(648\) | −22.0433 | − | 12.7317i | −0.865941 | − | 0.500147i | ||||
\(649\) | −4.32747 | + | 1.79250i | −0.169868 | + | 0.0703617i | ||||
\(650\) | −0.826402 | + | 1.27000i | −0.0324141 | + | 0.0498134i | ||||
\(651\) | 19.8057 | + | 9.19372i | 0.776245 | + | 0.360330i | ||||
\(652\) | −22.1497 | + | 34.9631i | −0.867450 | + | 1.36926i | ||||
\(653\) | 8.43770 | + | 5.63789i | 0.330193 | + | 0.220628i | 0.709604 | − | 0.704600i | \(-0.248874\pi\) |
−0.379412 | + | 0.925228i | \(0.623874\pi\) | |||||||
\(654\) | −16.4246 | − | 3.77775i | −0.642254 | − | 0.147722i | ||||
\(655\) | 13.9323 | − | 13.9323i | 0.544381 | − | 0.544381i | ||||
\(656\) | −0.189229 | − | 0.400497i | −0.00738815 | − | 0.0156368i | ||||
\(657\) | 13.2385 | − | 4.22466i | 0.516483 | − | 0.164820i | ||||
\(658\) | 12.6395 | − | 12.9510i | 0.492737 | − | 0.504883i | ||||
\(659\) | −40.6038 | − | 27.1306i | −1.58170 | − | 1.05686i | −0.962375 | − | 0.271726i | \(-0.912406\pi\) |
−0.619327 | − | 0.785133i | \(-0.712594\pi\) | |||||||
\(660\) | 2.22529 | − | 5.11647i | 0.0866193 | − | 0.199158i | ||||
\(661\) | −8.33263 | − | 1.65746i | −0.324102 | − | 0.0644678i | 0.0303581 | − | 0.999539i | \(-0.490335\pi\) |
−0.354460 | + | 0.935071i | \(0.615335\pi\) | |||||||
\(662\) | 8.27272 | + | 39.0962i | 0.321528 | + | 1.51952i | ||||
\(663\) | −1.41944 | − | 9.11696i | −0.0551264 | − | 0.354073i | ||||
\(664\) | 19.2052 | + | 26.5871i | 0.745307 | + | 1.03178i | ||||
\(665\) | 5.36931 | + | 2.22404i | 0.208213 | + | 0.0862447i | ||||
\(666\) | 2.86002 | + | 2.22275i | 0.110824 | + | 0.0861298i | ||||
\(667\) | −3.51487 | − | 5.26037i | −0.136096 | − | 0.203682i | ||||
\(668\) | −18.0466 | − | 40.7340i | −0.698243 | − | 1.57604i | ||||
\(669\) | 1.71677 | − | 40.9514i | 0.0663741 | − | 1.58327i | ||||
\(670\) | 5.96690 | − | 14.9164i | 0.230522 | − | 0.576272i | ||||
\(671\) | 12.3663i | 0.477396i | ||||||||
\(672\) | −24.7445 | + | 0.469492i | −0.954539 | + | 0.0181110i | ||||
\(673\) | 4.07049i | 0.156906i | 0.996918 | + | 0.0784529i | \(0.0249980\pi\) | ||||
−0.996918 | + | 0.0784529i | \(0.975002\pi\) | |||||||
\(674\) | 40.9033 | + | 16.3622i | 1.57554 | + | 0.630249i | ||||
\(675\) | −4.51347 | − | 2.57461i | −0.173723 | − | 0.0990968i | ||||
\(676\) | −22.1141 | − | 8.53535i | −0.850544 | − | 0.328283i | ||||
\(677\) | −18.6377 | − | 27.8934i | −0.716307 | − | 1.07203i | −0.993787 | − | 0.111298i | \(-0.964499\pi\) |
0.277480 | − | 0.960731i | \(-0.410501\pi\) | |||||||
\(678\) | −4.66031 | + | 10.3682i | −0.178978 | + | 0.398188i | ||||
\(679\) | 1.09503 | + | 0.453576i | 0.0420233 | + | 0.0174066i | ||||
\(680\) | 11.9705 | + | 7.38086i | 0.459047 | + | 0.283043i | ||||
\(681\) | 8.81966 | − | 1.37315i | 0.337970 | − | 0.0526192i | ||||
\(682\) | −11.1221 | + | 2.35342i | −0.425885 | + | 0.0901170i | ||||
\(683\) | 13.2346 | + | 2.63253i | 0.506408 | + | 0.100731i | 0.441681 | − | 0.897172i | \(-0.354382\pi\) |
0.0647273 | + | 0.997903i | \(0.479382\pi\) | |||||||
\(684\) | 1.88402 | + | 13.6757i | 0.0720373 | + | 0.522905i | ||||
\(685\) | −2.99996 | − | 2.00451i | −0.114622 | − | 0.0765883i | ||||
\(686\) | −19.4797 | − | 19.0111i | −0.743737 | − | 0.725845i | ||||
\(687\) | 17.5412 | + | 28.7941i | 0.669237 | + | 1.09856i | ||||
\(688\) | −8.98404 | − | 1.33626i | −0.342513 | − | 0.0509443i | ||||
\(689\) | −8.20730 | + | 8.20730i | −0.312673 | + | 0.312673i | ||||
\(690\) | −9.00646 | − | 2.07153i | −0.342870 | − | 0.0788619i | ||||
\(691\) | −18.8347 | − | 12.5849i | −0.716505 | − | 0.478753i | 0.143103 | − | 0.989708i | \(-0.454292\pi\) |
−0.859608 | + | 0.510954i | \(0.829292\pi\) | |||||||
\(692\) | −1.49203 | − | 6.65039i | −0.0567183 | − | 0.252810i | ||||
\(693\) | −9.54505 | − | 7.60639i | −0.362586 | − | 0.288943i | ||||
\(694\) | −19.2085 | − | 12.4992i | −0.729145 | − | 0.474463i | ||||
\(695\) | −16.2376 | + | 6.72585i | −0.615929 | + | 0.255126i | ||||
\(696\) | 1.64594 | − | 8.04833i | 0.0623893 | − | 0.305071i | ||||
\(697\) | 0.508682 | + | 0.210703i | 0.0192677 | + | 0.00798094i | ||||
\(698\) | −3.07286 | + | 2.10778i | −0.116310 | + | 0.0797805i | ||||
\(699\) | 11.0852 | + | 30.2926i | 0.419281 | + | 1.14577i | ||||
\(700\) | −5.05036 | + | 0.122988i | −0.190886 | + | 0.00464852i | ||||
\(701\) | 7.59487 | + | 38.1820i | 0.286854 | + | 1.44211i | 0.808271 | + | 0.588811i | \(0.200404\pi\) |
−0.521417 | + | 0.853302i | \(0.674596\pi\) | |||||||
\(702\) | −2.40081 | + | 7.49825i | −0.0906127 | + | 0.283003i | ||||
\(703\) | − | 1.96435i | − | 0.0740868i | ||||||
\(704\) | 10.1626 | − | 7.92138i | 0.383019 | − | 0.298548i | ||||
\(705\) | 8.52660 | + | 2.07077i | 0.321130 | + | 0.0779896i | ||||
\(706\) | 14.5915 | + | 34.0487i | 0.549160 | + | 1.28144i | ||||
\(707\) | 16.9217 | − | 3.36593i | 0.636404 | − | 0.126589i | ||||
\(708\) | −2.13847 | + | 9.84460i | −0.0803686 | + | 0.369983i | ||||
\(709\) | −3.23386 | − | 4.83982i | −0.121450 | − | 0.181763i | 0.765763 | − | 0.643123i | \(-0.222362\pi\) |
−0.887213 | + | 0.461360i | \(0.847362\pi\) | |||||||
\(710\) | 4.54210 | + | 6.62179i | 0.170462 | + | 0.248511i | ||||
\(711\) | 35.0822 | − | 29.6456i | 1.31568 | − | 1.11180i | ||||
\(712\) | 27.1376 | + | 25.2244i | 1.01702 | + | 0.945325i | ||||
\(713\) | 7.20599 | + | 17.3968i | 0.269866 | + | 0.651515i | ||||
\(714\) | 22.3897 | − | 21.0968i | 0.837915 | − | 0.789527i | ||||
\(715\) | −1.69250 | − | 0.336660i | −0.0632960 | − | 0.0125904i | ||||
\(716\) | −2.46927 | − | 11.0063i | −0.0922810 | − | 0.411323i | ||||
\(717\) | −9.23427 | − | 10.0424i | −0.344860 | − | 0.375040i | ||||
\(718\) | 13.6847 | − | 0.166603i | 0.510708 | − | 0.00621755i | ||||
\(719\) | −36.7344 | − | 36.7344i | −1.36996 | − | 1.36996i | −0.860482 | − | 0.509480i | \(-0.829838\pi\) |
−0.509480 | − | 0.860482i | \(-0.670162\pi\) | |||||||
\(720\) | −6.31259 | − | 10.2054i | −0.235256 | − | 0.380335i | ||||
\(721\) | 3.71575 | − | 3.71575i | 0.138382 | − | 0.138382i | ||||
\(722\) | −13.5384 | + | 13.8721i | −0.503846 | + | 0.516265i | ||||
\(723\) | −18.7442 | + | 17.2359i | −0.697105 | + | 0.641009i | ||||
\(724\) | −20.7313 | − | 29.4484i | −0.770471 | − | 1.09444i | ||||
\(725\) | 0.327140 | − | 1.64464i | 0.0121497 | − | 0.0610805i | ||||
\(726\) | −20.5809 | − | 0.611923i | −0.763828 | − | 0.0227106i | ||||
\(727\) | −38.1535 | + | 15.8037i | −1.41503 | + | 0.586126i | −0.953608 | − | 0.301052i | \(-0.902662\pi\) |
−0.461426 | + | 0.887179i | \(0.652662\pi\) | |||||||
\(728\) | 1.76646 | + | 7.44797i | 0.0654695 | + | 0.276040i | ||||
\(729\) | −26.1514 | − | 6.71615i | −0.968569 | − | 0.248746i | ||||
\(730\) | 6.43996 | + | 1.19968i | 0.238354 | + | 0.0444022i | ||||
\(731\) | 9.38738 | − | 6.27245i | 0.347205 | − | 0.231995i | ||||
\(732\) | 21.8518 | + | 15.1623i | 0.807665 | + | 0.560413i | ||||
\(733\) | 6.21965 | + | 31.2683i | 0.229728 | + | 1.15492i | 0.907631 | + | 0.419769i | \(0.137889\pi\) |
−0.677903 | + | 0.735152i | \(0.737111\pi\) | |||||||
\(734\) | −16.4530 | + | 41.1303i | −0.607292 | + | 1.51815i | ||||
\(735\) | 0.253304 | − | 1.04301i | 0.00934327 | − | 0.0384719i | ||||
\(736\) | −15.9816 | − | 14.1455i | −0.589089 | − | 0.521411i | ||||
\(737\) | 18.2971 | 0.673982 | ||||||||
\(738\) | −0.307588 | − | 0.355135i | −0.0113225 | − | 0.0130727i | ||||
\(739\) | −9.24774 | + | 1.83949i | −0.340183 | + | 0.0676667i | −0.362226 | − | 0.932090i | \(-0.617983\pi\) |
0.0220424 | + | 0.999757i | \(0.492983\pi\) | |||||||
\(740\) | 0.691652 | + | 1.56117i | 0.0254256 | + | 0.0573897i | ||||
\(741\) | 4.00967 | − | 1.46729i | 0.147299 | − | 0.0539022i | ||||
\(742\) | −38.0442 | − | 7.08713i | −1.39664 | − | 0.260177i | ||||
\(743\) | 1.53949 | − | 3.71665i | 0.0564783 | − | 0.136351i | −0.893122 | − | 0.449815i | \(-0.851490\pi\) |
0.949600 | + | 0.313465i | \(0.101490\pi\) | |||||||
\(744\) | −9.47809 | + | 22.5386i | −0.347484 | + | 0.826307i | ||||
\(745\) | 0.0528934 | + | 0.127696i | 0.00193786 | + | 0.00467841i | ||||
\(746\) | 5.16521 | − | 1.09295i | 0.189112 | − | 0.0400159i | ||||
\(747\) | 27.2057 | + | 21.6801i | 0.995405 | + | 0.793232i | ||||
\(748\) | −2.74129 | + | 15.7801i | −0.100231 | + | 0.576976i | ||||
\(749\) | −17.3359 | + | 25.9450i | −0.633440 | + | 0.948009i | ||||
\(750\) | −1.29973 | − | 2.07622i | −0.0474596 | − | 0.0758129i | ||||
\(751\) | 2.82090 | + | 2.82090i | 0.102936 | + | 0.102936i | 0.756699 | − | 0.653763i | \(-0.226811\pi\) |
−0.653763 | + | 0.756699i | \(0.726811\pi\) | |||||||
\(752\) | 15.0091 | + | 13.6142i | 0.547325 | + | 0.496458i | ||||
\(753\) | 5.80675 | − | 3.53743i | 0.211610 | − | 0.128911i | ||||
\(754\) | −2.54060 | + | 0.0309302i | −0.0925230 | + | 0.00112641i | ||||
\(755\) | 9.59561 | − | 14.3608i | 0.349220 | − | 0.522645i | ||||
\(756\) | −25.1439 | + | 7.54036i | −0.914476 | + | 0.274240i | ||||
\(757\) | 0.316732 | − | 1.59232i | 0.0115118 | − | 0.0578738i | −0.974602 | − | 0.223942i | \(-0.928107\pi\) |
0.986114 | + | 0.166068i | \(0.0531073\pi\) | |||||||
\(758\) | −21.7831 | − | 14.1745i | −0.791198 | − | 0.514841i | ||||
\(759\) | −1.61919 | − | 10.4000i | −0.0587729 | − | 0.377495i | ||||
\(760\) | −2.26920 | + | 6.09925i | −0.0823124 | + | 0.221243i | ||||
\(761\) | −17.4189 | + | 42.0529i | −0.631434 | + | 1.52442i | 0.206385 | + | 0.978471i | \(0.433830\pi\) |
−0.837820 | + | 0.545947i | \(0.816170\pi\) | |||||||
\(762\) | 0.527255 | + | 1.38823i | 0.0191004 | + | 0.0502903i | ||||
\(763\) | −14.4504 | + | 9.65548i | −0.523141 | + | 0.349552i | ||||
\(764\) | 16.7026 | − | 17.5364i | 0.604278 | − | 0.634444i | ||||
\(765\) | 14.3346 | + | 4.12423i | 0.518270 | + | 0.149112i | ||||
\(766\) | −0.368737 | − | 0.860431i | −0.0133230 | − | 0.0310886i | ||||
\(767\) | 3.11584 | 0.112506 | ||||||||
\(768\) | −1.53707 | − | 27.6702i | −0.0554642 | − | 0.998461i | ||||
\(769\) | −37.8121 | −1.36354 | −0.681769 | − | 0.731567i | \(-0.738789\pi\) | ||||
−0.681769 | + | 0.731567i | \(0.738789\pi\) | |||||||
\(770\) | −2.26633 | − | 5.28839i | −0.0816730 | − | 0.190580i | ||||
\(771\) | −33.8403 | − | 1.41866i | −1.21873 | − | 0.0510917i | ||||
\(772\) | 36.8080 | − | 38.6455i | 1.32475 | − | 1.39088i | ||||
\(773\) | −4.12556 | + | 2.75661i | −0.148386 | + | 0.0991483i | −0.627547 | − | 0.778579i | \(-0.715941\pi\) |
0.479161 | + | 0.877727i | \(0.340941\pi\) | |||||||
\(774\) | −9.55900 | + | 1.19850i | −0.343591 | + | 0.0430791i | ||||
\(775\) | −1.90995 | + | 4.61102i | −0.0686073 | + | 0.165633i | ||||
\(776\) | −0.462785 | + | 1.24389i | −0.0166130 | + | 0.0446532i | ||||
\(777\) | 3.69077 | − | 0.574623i | 0.132406 | − | 0.0206145i | ||||
\(778\) | 19.6622 | + | 12.7944i | 0.704923 | + | 0.458701i | ||||
\(779\) | −0.0497066 | + | 0.249892i | −0.00178092 | + | 0.00895330i | ||||
\(780\) | −2.67006 | + | 2.57795i | −0.0956034 | + | 0.0923053i | ||||
\(781\) | −5.08080 | + | 7.60396i | −0.181805 | + | 0.272091i | ||||
\(782\) | 26.5271 | − | 0.322952i | 0.948608 | − | 0.0115487i | ||||
\(783\) | −0.615136 | − | 8.69149i | −0.0219832 | − | 0.310608i | ||||
\(784\) | 1.66534 | − | 1.83597i | 0.0594764 | − | 0.0655704i | ||||
\(785\) | 9.98327 | + | 9.98327i | 0.356318 | + | 0.356318i | ||||
\(786\) | 40.9084 | − | 25.6090i | 1.45915 | − | 0.913443i | ||||
\(787\) | −18.4242 | + | 27.5737i | −0.656750 | + | 0.982896i | 0.342312 | + | 0.939586i | \(0.388790\pi\) |
−0.999062 | + | 0.0433095i | \(0.986210\pi\) | |||||||
\(788\) | 2.10036 | − | 12.0906i | 0.0748221 | − | 0.430709i | ||||
\(789\) | −10.9913 | + | 23.6781i | −0.391300 | + | 0.842963i | ||||
\(790\) | 21.1829 | − | 4.48228i | 0.753652 | − | 0.159472i | ||||
\(791\) | 4.48587 | + | 10.8298i | 0.159499 | + | 0.385065i | ||||
\(792\) | 8.12137 | − | 10.9920i | 0.288580 | − | 0.390584i | ||||
\(793\) | 3.14800 | − | 7.59996i | 0.111789 | − | 0.269882i | ||||
\(794\) | 25.1624 | + | 4.68742i | 0.892978 | + | 0.166350i | ||||
\(795\) | −6.44818 | − | 17.6210i | −0.228693 | − | 0.624953i | ||||
\(796\) | −15.8494 | − | 35.7745i | −0.561765 | − | 1.26799i | ||||
\(797\) | −46.5142 | + | 9.25224i | −1.64762 | + | 0.327731i | −0.929677 | − | 0.368375i | \(-0.879914\pi\) |
−0.717939 | + | 0.696106i | \(0.754914\pi\) | |||||||
\(798\) | 11.5963 | + | 8.25722i | 0.410504 | + | 0.292302i | ||||
\(799\) | −25.1880 | −0.891088 | ||||||||
\(800\) | −0.344114 | − | 5.64638i | −0.0121663 | − | 0.199630i | ||||
\(801\) | 34.9203 | + | 18.0246i | 1.23385 | + | 0.636866i | ||||
\(802\) | 11.9440 | − | 29.8583i | 0.421757 | − | 1.05433i | ||||
\(803\) | 1.45550 | + | 7.31729i | 0.0513634 | + | 0.258221i | ||||
\(804\) | 22.4340 | − | 32.3317i | 0.791185 | − | 1.14025i | ||||
\(805\) | −7.92392 | + | 5.29459i | −0.279281 | + | 0.186610i | ||||
\(806\) | 7.43437 | + | 1.38492i | 0.261864 | + | 0.0487819i | ||||
\(807\) | −22.5538 | + | 30.8718i | −0.793933 | + | 1.08674i | ||||
\(808\) | 4.45837 | + | 18.7979i | 0.156845 | + | 0.661308i | ||||
\(809\) | −38.3206 | + | 15.8729i | −1.34728 | + | 0.558063i | −0.935535 | − | 0.353235i | \(-0.885082\pi\) |
−0.411748 | + | 0.911298i | \(0.635082\pi\) | |||||||
\(810\) | −9.36075 | − | 8.62417i | −0.328903 | − | 0.303022i | ||||
\(811\) | 1.66928 | − | 8.39202i | 0.0586163 | − | 0.294684i | −0.940347 | − | 0.340218i | \(-0.889499\pi\) |
0.998963 | + | 0.0455344i | \(0.0144991\pi\) | |||||||
\(812\) | −4.87647 | − | 6.92694i | −0.171130 | − | 0.243088i | ||||
\(813\) | 3.65336 | + | 3.97308i | 0.128129 | + | 0.139342i | ||||
\(814\) | −1.35826 | + | 1.39174i | −0.0476071 | + | 0.0487806i | ||||
\(815\) | −14.6331 | + | 14.6331i | −0.512576 | + | 0.512576i | ||||
\(816\) | 24.5230 | + | 24.1918i | 0.858475 | + | 0.846883i | ||||
\(817\) | 3.69428 | + | 3.69428i | 0.129247 | + | 0.129247i | ||||
\(818\) | −10.8632 | + | 0.132253i | −0.379824 | + | 0.00462413i | ||||
\(819\) | 3.92979 | + | 7.10447i | 0.137318 | + | 0.248250i | ||||
\(820\) | −0.0484832 | − | 0.216104i | −0.00169311 | − | 0.00754667i | ||||
\(821\) | 54.7983 | + | 10.9001i | 1.91248 | + | 0.380415i | 0.999612 | − | 0.0278512i | \(-0.00886646\pi\) |
0.912863 | + | 0.408266i | \(0.133866\pi\) | |||||||
\(822\) | −6.06079 | − | 6.43224i | −0.211394 | − | 0.224350i | ||||
\(823\) | 11.4434 | + | 27.6268i | 0.398892 | + | 0.963011i | 0.987929 | + | 0.154905i | \(0.0495071\pi\) |
−0.589037 | + | 0.808106i | \(0.700493\pi\) | |||||||
\(824\) | 4.30988 | + | 4.00604i | 0.150142 | + | 0.139557i | ||||
\(825\) | 1.64568 | − | 2.25261i | 0.0572952 | − | 0.0784259i | ||||
\(826\) | 5.87630 | + | 8.56687i | 0.204463 | + | 0.298079i | ||||
\(827\) | 7.60870 | + | 11.3872i | 0.264580 | + | 0.395972i | 0.939844 | − | 0.341604i | \(-0.110970\pi\) |
−0.675264 | + | 0.737576i | \(0.735970\pi\) | |||||||
\(828\) | −20.3625 | − | 9.89016i | −0.707645 | − | 0.343707i | ||||
\(829\) | 26.6849 | − | 5.30795i | 0.926804 | − | 0.184353i | 0.291461 | − | 0.956583i | \(-0.405859\pi\) |
0.635343 | + | 0.772230i | \(0.280859\pi\) | |||||||
\(830\) | 6.45961 | + | 15.0732i | 0.224216 | + | 0.523199i | ||||
\(831\) | −1.45228 | + | 5.97991i | −0.0503790 | + | 0.207441i | ||||
\(832\) | −8.26213 | + | 2.28121i | −0.286438 | + | 0.0790866i | ||||
\(833\) | 3.08110i | 0.106754i | ||||||||
\(834\) | −42.4547 | + | 7.14025i | −1.47009 | + | 0.247247i | ||||
\(835\) | −4.34589 | − | 21.8483i | −0.150396 | − | 0.756091i | ||||
\(836\) | −7.40941 | + | 0.180437i | −0.256260 | + | 0.00624054i | ||||
\(837\) | −3.25110 | + | 25.7290i | −0.112374 | + | 0.889326i | ||||
\(838\) | −0.243151 | + | 0.166785i | −0.00839950 | + | 0.00576149i | ||||
\(839\) | 14.6562 | + | 6.07080i | 0.505989 | + | 0.209587i | 0.621050 | − | 0.783771i | \(-0.286706\pi\) |
−0.115061 | + | 0.993358i | \(0.536706\pi\) | |||||||
\(840\) | −12.1235 | − | 2.47935i | −0.418302 | − | 0.0855459i | ||||
\(841\) | −24.1947 | + | 10.0218i | −0.834299 | + | 0.345578i | ||||
\(842\) | 6.98105 | + | 4.54264i | 0.240583 | + | 0.156550i | ||||
\(843\) | −5.51066 | + | 11.8714i | −0.189797 | + | 0.408873i | ||||
\(844\) | 9.21349 | + | 41.0672i | 0.317141 | + | 1.41359i | ||||
\(845\) | −9.85465 | − | 6.58466i | −0.339010 | − | 0.226519i | ||||
\(846\) | 19.2174 | + | 9.62486i | 0.660707 | + | 0.330910i | ||||
\(847\) | −15.0136 | + | 15.0136i | −0.515875 | + | 0.515875i | ||||
\(848\) | 6.37510 | − | 42.8616i | 0.218922 | − | 1.47187i | ||||
\(849\) | 15.4301 | − | 9.39989i | 0.529559 | − | 0.322603i | ||||
\(850\) | 5.03220 | + | 4.91115i | 0.172603 | + | 0.168451i | ||||
\(851\) | 2.67827 | + | 1.78957i | 0.0918101 | + | 0.0613455i | ||||
\(852\) | 7.20697 | + | 18.3012i | 0.246907 | + | 0.626987i | ||||
\(853\) | −54.1584 | − | 10.7728i | −1.85435 | − | 0.368853i | −0.863558 | − | 0.504250i | \(-0.831769\pi\) |
−0.990791 | + | 0.135397i | \(0.956769\pi\) | |||||||
\(854\) | 26.8327 | − | 5.67779i | 0.918198 | − | 0.194290i | ||||
\(855\) | −0.577716 | + | 6.87823i | −0.0197575 | + | 0.235231i | ||||
\(856\) | −29.7415 | − | 18.3383i | −1.01654 | − | 0.626789i | ||||
\(857\) | 34.8180 | + | 14.4221i | 1.18936 | + | 0.492649i | 0.887547 | − | 0.460718i | \(-0.152408\pi\) |
0.301813 | + | 0.953367i | \(0.402408\pi\) | |||||||
\(858\) | −3.85543 | − | 1.73294i | −0.131622 | − | 0.0591618i | ||||
\(859\) | 0.695116 | + | 1.04031i | 0.0237170 | + | 0.0354951i | 0.843139 | − | 0.537696i | \(-0.180705\pi\) |
−0.819422 | + | 0.573191i | \(0.805705\pi\) | |||||||
\(860\) | −4.23680 | − | 1.63527i | −0.144474 | − | 0.0557623i | ||||
\(861\) | −0.484057 | − | 0.0202927i | −0.0164966 | − | 0.000691573i | ||||
\(862\) | 43.2079 | + | 17.2841i | 1.47167 | + | 0.588699i | ||||
\(863\) | − | 38.7397i | − | 1.31871i | −0.751830 | − | 0.659357i | \(-0.770829\pi\) | ||
0.751830 | − | 0.659357i | \(-0.229171\pi\) | |||||||
\(864\) | −9.46577 | − | 27.8280i | −0.322032 | − | 0.946729i | ||||
\(865\) | − | 3.40785i | − | 0.115870i | ||||||
\(866\) | −14.8184 | + | 37.0439i | −0.503548 | + | 1.25880i | ||||
\(867\) | −13.3618 | − | 0.560156i | −0.453791 | − | 0.0190239i | ||||
\(868\) | 10.2130 | + | 23.0524i | 0.346652 | + | 0.782449i | ||||
\(869\) | 13.7000 | + | 20.5035i | 0.464740 | + | 0.695532i | ||||
\(870\) | 1.68394 | − | 3.74640i | 0.0570909 | − | 0.127015i | ||||
\(871\) | −11.2448 | − | 4.65776i | −0.381017 | − | 0.157822i | ||||
\(872\) | −11.3954 | − | 15.7754i | −0.385897 | − | 0.534223i | ||||
\(873\) | −0.117821 | + | 1.40276i | −0.00398762 | + | 0.0474763i | ||||
\(874\) | 2.54140 | + | 12.0104i | 0.0859641 | + | 0.406259i | ||||
\(875\) | −2.47739 | − | 0.492784i | −0.0837512 | − | 0.0166591i | ||||
\(876\) | 14.7145 | + | 6.39975i | 0.497158 | + | 0.216228i | ||||
\(877\) | 19.2860 | + | 12.8865i | 0.651243 | + | 0.435146i | 0.836816 | − | 0.547484i | \(-0.184414\pi\) |
−0.185574 | + | 0.982630i | \(0.559414\pi\) | |||||||
\(878\) | −7.92910 | + | 8.12454i | −0.267594 | + | 0.274190i | ||||
\(879\) | 32.5645 | − | 19.8381i | 1.09837 | − | 0.669121i | ||||
\(880\) | 5.82510 | − | 2.75227i | 0.196364 | − | 0.0927791i | ||||
\(881\) | −4.17139 | + | 4.17139i | −0.140538 | + | 0.140538i | −0.773876 | − | 0.633338i | \(-0.781684\pi\) |
0.633338 | + | 0.773876i | \(0.281684\pi\) | |||||||
\(882\) | 1.17735 | − | 2.35075i | 0.0396435 | − | 0.0791537i | ||||
\(883\) | 44.1573 | + | 29.5050i | 1.48601 | + | 0.992922i | 0.992375 | + | 0.123254i | \(0.0393331\pi\) |
0.493638 | + | 0.869668i | \(0.335667\pi\) | |||||||
\(884\) | 5.70173 | − | 9.00011i | 0.191770 | − | 0.302706i | ||||
\(885\) | −2.12084 | + | 4.56884i | −0.0712913 | + | 0.153580i | ||||
\(886\) | −3.96667 | + | 6.09590i | −0.133263 | + | 0.204796i | ||||
\(887\) | 46.7599 | − | 19.3686i | 1.57004 | − | 0.650333i | 0.583246 | − | 0.812295i | \(-0.301782\pi\) |
0.986797 | + | 0.161962i | \(0.0517822\pi\) | |||||||
\(888\) | 0.793910 | + | 4.10652i | 0.0266419 | + | 0.137806i | ||||
\(889\) | 1.41476 | + | 0.586013i | 0.0474496 | + | 0.0196543i | ||||
\(890\) | 10.4787 | + | 15.2766i | 0.351248 | + | 0.512074i | ||||
\(891\) | 5.15991 | − | 13.5464i | 0.172864 | − | 0.453820i | ||||
\(892\) | 32.6414 | − | 34.2708i | 1.09291 | − | 1.14747i | ||||
\(893\) | −2.27393 | − | 11.4318i | −0.0760942 | − | 0.382551i | ||||
\(894\) | 0.0561523 | + | 0.333872i | 0.00187801 | + | 0.0111664i | ||||
\(895\) | − | 5.63992i | − | 0.188522i | ||||||
\(896\) | −21.8540 | − | 18.4142i | −0.730092 | − | 0.615175i | ||||
\(897\) | −1.65234 | + | 6.80369i | −0.0551701 | + | 0.227169i | ||||
\(898\) | 21.6928 | − | 9.29644i | 0.723899 | − | 0.310226i | ||||
\(899\) | −8.20829 | + | 1.63273i | −0.273762 | + | 0.0544546i | ||||
\(900\) | −1.96270 | − | 5.66990i | −0.0654235 | − | 0.188997i | ||||
\(901\) | 29.9250 | + | 44.7859i | 0.996945 | + | 1.49203i | ||||
\(902\) | 0.208007 | − | 0.142679i | 0.00692587 | − | 0.00475068i | ||||
\(903\) | −5.86043 | + | 8.02178i | −0.195023 | + | 0.266948i | ||||
\(904\) | −11.9353 | + | 5.46252i | −0.396962 | + | 0.181681i | ||||
\(905\) | −6.89094 | − | 16.6362i | −0.229063 | − | 0.553006i | ||||
\(906\) | 30.7912 | − | 29.0131i | 1.02297 | − | 0.963895i | ||||
\(907\) | −0.207808 | − | 0.0413356i | −0.00690015 | − | 0.00137252i | 0.191639 | − | 0.981465i | \(-0.438620\pi\) |
−0.198539 | + | 0.980093i | \(0.563620\pi\) | |||||||
\(908\) | 8.70662 | + | 5.51580i | 0.288939 | + | 0.183048i | ||||
\(909\) | 9.91838 | + | 17.9309i | 0.328972 | + | 0.594731i | ||||
\(910\) | 0.0465915 | + | 3.82701i | 0.00154449 | + | 0.126864i | ||||
\(911\) | −23.9481 | − | 23.9481i | −0.793436 | − | 0.793436i | 0.188615 | − | 0.982051i | \(-0.439600\pi\) |
−0.982051 | + | 0.188615i | \(0.939600\pi\) | |||||||
\(912\) | −8.76579 | + | 13.3140i | −0.290264 | + | 0.440869i | ||||
\(913\) | −13.2065 | + | 13.2065i | −0.437072 | + | 0.437072i | ||||
\(914\) | −22.9375 | − | 22.3857i | −0.758706 | − | 0.740454i | ||||
\(915\) | 9.00130 | + | 9.78903i | 0.297574 | + | 0.323616i | ||||
\(916\) | −6.66346 | + | 38.3578i | −0.220167 | + | 1.26738i | ||||
\(917\) | 9.70946 | − | 48.8128i | 0.320635 | − | 1.61194i | ||||
\(918\) | 31.9546 | + | 17.7158i | 1.05466 | + | 0.584707i | ||||
\(919\) | −44.3805 | + | 18.3830i | −1.46398 | + | 0.606399i | −0.965476 | − | 0.260491i | \(-0.916116\pi\) |
−0.498500 | + | 0.866890i | \(0.666116\pi\) | |||||||
\(920\) | −6.24868 | − | 8.65048i | −0.206013 | − | 0.285198i | ||||
\(921\) | −30.0869 | + | 41.1830i | −0.991396 | + | 1.35703i | ||||
\(922\) | 1.21852 | − | 6.54107i | 0.0401297 | − | 0.215419i | ||||
\(923\) | 5.05819 | − | 3.37978i | 0.166492 | − | 0.111247i | ||||
\(924\) | −2.50646 | − | 13.8686i | −0.0824566 | − | 0.456243i | ||||
\(925\) | 0.166560 | + | 0.837356i | 0.00547647 | + | 0.0275321i | ||||
\(926\) | 9.54357 | + | 3.81764i | 0.313621 | + | 0.125455i | ||||
\(927\) | 5.54590 | + | 2.86259i | 0.182151 | + | 0.0940197i | ||||
\(928\) | 7.55194 | − | 5.74003i | 0.247904 | − | 0.188426i | ||||
\(929\) | −31.3659 | −1.02908 | −0.514540 | − | 0.857466i | \(-0.672037\pi\) | ||||
−0.514540 | + | 0.857466i | \(0.672037\pi\) | |||||||
\(930\) | −7.09107 | + | 9.95856i | −0.232525 | + | 0.326554i | ||||
\(931\) | −1.39839 | + | 0.278156i | −0.0458302 | + | 0.00911620i | ||||
\(932\) | −13.4120 | + | 34.7489i | −0.439324 | + | 1.13824i | ||||
\(933\) | −5.79529 | − | 15.8369i | −0.189729 | − | 0.518475i | ||||
\(934\) | 1.65182 | − | 8.86706i | 0.0540491 | − | 0.290139i | ||||
\(935\) | −3.06460 | + | 7.39861i | −0.100223 | + | 0.241960i | ||||
\(936\) | −7.78930 | + | 4.68795i | −0.254601 | + | 0.153230i | ||||
\(937\) | −8.95148 | − | 21.6108i | −0.292432 | − | 0.705993i | 0.707568 | − | 0.706645i | \(-0.249792\pi\) |
−1.00000 | 0.000652178i | \(0.999792\pi\) | ||||||||
\(938\) | −8.40081 | − | 39.7015i | −0.274296 | − | 1.29630i | ||||
\(939\) | −12.5036 | + | 26.9360i | −0.408039 | + | 0.879022i | ||||
\(940\) | 5.83238 | + | 8.28480i | 0.190231 | + | 0.270220i | ||||
\(941\) | −25.3501 | + | 37.9391i | −0.826389 | + | 1.23678i | 0.142626 | + | 0.989777i | \(0.454445\pi\) |
−0.969015 | + | 0.247002i | \(0.920555\pi\) | |||||||
\(942\) | 18.3503 | + | 29.3131i | 0.597884 | + | 0.955071i | ||||
\(943\) | −0.295429 | − | 0.295429i | −0.00962050 | − | 0.00962050i | ||||
\(944\) | −9.34616 | + | 6.92590i | −0.304192 | + | 0.225419i | ||||
\(945\) | −13.0924 | + | 0.926605i | −0.425895 | + | 0.0301425i | ||||
\(946\) | −0.0629641 | − | 5.17185i | −0.00204714 | − | 0.168151i | ||||
\(947\) | 22.5872 | − | 33.8041i | 0.733984 | − | 1.09849i | −0.257247 | − | 0.966346i | \(-0.582815\pi\) |
0.991231 | − | 0.132139i | \(-0.0421847\pi\) | |||||||
\(948\) | 53.0279 | + | 0.930738i | 1.72227 | + | 0.0302290i | ||||
\(949\) | 0.968205 | − | 4.86750i | 0.0314293 | − | 0.158006i | ||||
\(950\) | −1.77467 | + | 2.72728i | −0.0575780 | + | 0.0884847i | ||||
\(951\) | 0.00498366 | 0.000775916i | 0.000161606 | 2.51608e-5i | ||||||
\(952\) | 35.4986 | − | 1.29703i | 1.15052 | − | 0.0420371i | ||||
\(953\) | −1.51175 | + | 3.64969i | −0.0489705 | + | 0.118225i | −0.946472 | − | 0.322787i | \(-0.895380\pi\) |
0.897501 | + | 0.441012i | \(0.145380\pi\) | |||||||
\(954\) | −5.71786 | − | 45.6046i | −0.185123 | − | 1.47650i | ||||
\(955\) | 10.0682 | − | 6.72734i | 0.325799 | − | 0.217692i | ||||
\(956\) | −0.383513 | − | 15.7485i | −0.0124037 | − | 0.509343i | ||||
\(957\) | 4.67387 | + | 0.195939i | 0.151085 | + | 0.00633380i | ||||
\(958\) | 41.7501 | − | 17.8919i | 1.34888 | − | 0.578063i | ||||
\(959\) | −9.11360 | −0.294293 | ||||||||
\(960\) | 2.27874 | − | 13.6677i | 0.0735461 | − | 0.441125i | ||||
\(961\) | −6.09063 | −0.196472 | ||||||||
\(962\) | 1.18903 | − | 0.509559i | 0.0383360 | − | 0.0164288i | ||||
\(963\) | −35.6154 | − | 10.2469i | −1.14769 | − | 0.330203i | ||||
\(964\) | −29.3947 | + | 0.715831i | −0.946740 | + | 0.0230554i | ||||
\(965\) | 22.1875 | − | 14.8252i | 0.714242 | − | 0.477242i | ||||
\(966\) | −21.8227 | + | 8.28834i | −0.702134 | + | 0.266673i | ||||
\(967\) | 11.8698 | − | 28.6561i | 0.381706 | − | 0.921519i | −0.609931 | − | 0.792455i | \(-0.708803\pi\) |
0.991636 | − | 0.129064i | \(-0.0411973\pi\) | |||||||
\(968\) | −17.4143 | − | 16.1866i | −0.559716 | − | 0.520257i | ||||
\(969\) | −3.04820 | − | 19.5784i | −0.0979222 | − | 0.628949i | ||||
\(970\) | −0.361930 | + | 0.556207i | −0.0116209 | + | 0.0178587i | ||||
\(971\) | −1.45646 | + | 7.32211i | −0.0467400 | + | 0.234978i | −0.997093 | − | 0.0761967i | \(-0.975722\pi\) |
0.950353 | + | 0.311174i | \(0.100722\pi\) | |||||||
\(972\) | −17.6104 | − | 25.7269i | −0.564855 | − | 0.825190i | ||||
\(973\) | −24.6642 | + | 36.9126i | −0.790699 | + | 1.18336i | ||||
\(974\) | 0.423793 | + | 34.8102i | 0.0135792 | + | 1.11539i | ||||
\(975\) | −1.58482 | + | 0.965458i | −0.0507548 | + | 0.0309194i | ||||
\(976\) | 7.45059 | + | 29.7940i | 0.238487 | + | 0.953682i | ||||
\(977\) | 33.8171 | + | 33.8171i | 1.08191 | + | 1.08191i | 0.996332 | + | 0.0855740i | \(0.0272724\pi\) |
0.0855740 | + | 0.996332i | \(0.472728\pi\) | |||||||
\(978\) | −42.9661 | + | 26.8972i | −1.37390 | + | 0.860076i | ||||
\(979\) | −11.7215 | + | 17.5425i | −0.374622 | + | 0.560662i | ||||
\(980\) | 1.01343 | − | 0.713440i | 0.0323728 | − | 0.0227900i | ||||
\(981\) | −16.1425 | − | 12.8639i | −0.515391 | − | 0.410711i | ||||
\(982\) | 3.51581 | + | 16.6154i | 0.112194 | + | 0.530220i | ||||
\(983\) | 11.4150 | + | 27.5582i | 0.364081 | + | 0.878970i | 0.994695 | + | 0.102873i | \(0.0328034\pi\) |
−0.630613 | + | 0.776097i | \(0.717197\pi\) | |||||||
\(984\) | 0.00291662 | − | 0.542494i | 9.29783e−5 | − | 0.0172941i | ||||
\(985\) | 2.34808 | − | 5.66877i | 0.0748161 | − | 0.180622i | ||||
\(986\) | −2.15934 | + | 11.5915i | −0.0687675 | + | 0.369148i | ||||
\(987\) | 20.8138 | − | 7.61654i | 0.662511 | − | 0.242437i | ||||
\(988\) | 4.59953 | + | 1.77527i | 0.146330 | + | 0.0564788i | ||||
\(989\) | −8.40252 | + | 1.67137i | −0.267185 | + | 0.0531463i | ||||
\(990\) | 5.16532 | − | 4.47377i | 0.164165 | − | 0.142186i | ||||
\(991\) | −11.0297 | −0.350371 | −0.175185 | − | 0.984535i | \(-0.556052\pi\) | ||||
−0.175185 | + | 0.984535i | \(0.556052\pi\) | |||||||
\(992\) | −25.3783 | + | 12.3710i | −0.805762 | + | 0.392779i | ||||
\(993\) | −11.5505 | + | 47.5606i | −0.366546 | + | 1.50929i | ||||
\(994\) | 18.8320 | + | 7.53323i | 0.597316 | + | 0.238940i | ||||
\(995\) | −3.81677 | − | 19.1882i | −0.121000 | − | 0.608306i | ||||
\(996\) | 7.14403 | + | 39.5289i | 0.226367 | + | 1.25252i | ||||
\(997\) | 27.1264 | − | 18.1253i | 0.859101 | − | 0.574033i | −0.0461384 | − | 0.998935i | \(-0.514692\pi\) |
0.905239 | + | 0.424902i | \(0.139692\pi\) | |||||||
\(998\) | 0.436862 | − | 2.34510i | 0.0138286 | − | 0.0742329i | ||||
\(999\) | 1.98280 | + | 3.96850i | 0.0627331 | + | 0.125558i |
(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 | 960.2.cn.a.11.82 | yes | 1024 | |
3.2 | odd | 2 | inner | 960.2.cn.a.11.47 | ✓ | 1024 | |
64.35 | odd | 16 | inner | 960.2.cn.a.611.47 | yes | 1024 | |
192.35 | even | 16 | inner | 960.2.cn.a.611.82 | yes | 1024 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
960.2.cn.a.11.47 | ✓ | 1024 | 3.2 | odd | 2 | inner | |
960.2.cn.a.11.82 | yes | 1024 | 1.1 | even | 1 | trivial | |
960.2.cn.a.611.47 | yes | 1024 | 64.35 | odd | 16 | inner | |
960.2.cn.a.611.82 | yes | 1024 | 192.35 | even | 16 | inner |