Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [968,2,Mod(403,968)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(968, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("968.403");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 968 = 2^{3} \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 968.k (of order \(10\), degree \(4\), not 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: | \(7.72951891566\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 88) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 723.1 | ||
Character | \(\chi\) | \(=\) | 968.723 |
Dual form | 968.2.k.e.403.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/968\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(727\) | \(849\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39185 | − | 0.250518i | −0.984185 | − | 0.177143i | ||||
\(3\) | −0.00948836 | − | 0.0292022i | −0.00547811 | − | 0.0168599i | 0.948280 | − | 0.317435i | \(-0.102821\pi\) |
−0.953758 | + | 0.300575i | \(0.902821\pi\) | |||||||
\(4\) | 1.87448 | + | 0.697366i | 0.937241 | + | 0.348683i | ||||
\(5\) | 1.10348 | − | 1.51881i | 0.493491 | − | 0.679232i | −0.487536 | − | 0.873103i | \(-0.662104\pi\) |
0.981027 | + | 0.193871i | \(0.0621042\pi\) | |||||||
\(6\) | 0.00589069 | + | 0.0430220i | 0.00240486 | + | 0.0175636i | ||||
\(7\) | −0.238021 | + | 0.732552i | −0.0899633 | + | 0.276879i | −0.985908 | − | 0.167286i | \(-0.946500\pi\) |
0.895945 | + | 0.444165i | \(0.146500\pi\) | |||||||
\(8\) | −2.43429 | − | 1.44022i | −0.860652 | − | 0.509194i | ||||
\(9\) | 2.42629 | − | 1.76280i | 0.808763 | − | 0.587601i | ||||
\(10\) | −1.91637 | + | 1.83751i | −0.606008 | + | 0.581072i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0.00257883 | − | 0.0613558i | 0.000744445 | − | 0.0177119i | ||||
\(13\) | 4.00884 | − | 2.91259i | 1.11185 | − | 0.807807i | 0.128897 | − | 0.991658i | \(-0.458856\pi\) |
0.982954 | + | 0.183851i | \(0.0588562\pi\) | |||||||
\(14\) | 0.514806 | − | 0.959973i | 0.137588 | − | 0.256564i | ||||
\(15\) | −0.0548227 | − | 0.0178130i | −0.0141552 | − | 0.00459929i | ||||
\(16\) | 3.02736 | + | 2.61440i | 0.756841 | + | 0.653600i | ||||
\(17\) | −1.66660 | + | 2.29388i | −0.404210 | + | 0.556347i | −0.961794 | − | 0.273773i | \(-0.911728\pi\) |
0.557585 | + | 0.830120i | \(0.311728\pi\) | |||||||
\(18\) | −3.81864 | + | 1.84572i | −0.900062 | + | 0.435041i | ||||
\(19\) | −0.891134 | + | 0.289547i | −0.204440 | + | 0.0664266i | −0.409447 | − | 0.912334i | \(-0.634278\pi\) |
0.205007 | + | 0.978761i | \(0.434278\pi\) | |||||||
\(20\) | 3.12762 | − | 2.07745i | 0.699357 | − | 0.464532i | ||||
\(21\) | 0.0236505 | 0.00516097 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 4.19502i | − | 0.874723i | −0.899286 | − | 0.437361i | \(-0.855913\pi\) | ||
0.899286 | − | 0.437361i | \(-0.144087\pi\) | |||||||
\(24\) | −0.0189601 | + | 0.0847518i | −0.00387021 | + | 0.0172999i | ||||
\(25\) | 0.455970 | + | 1.40333i | 0.0911940 | + | 0.280666i | ||||
\(26\) | −6.30935 | + | 3.04960i | −1.23737 | + | 0.598075i | ||||
\(27\) | −0.149022 | − | 0.108271i | −0.0286792 | − | 0.0208367i | ||||
\(28\) | −0.957022 | + | 1.20717i | −0.180860 | + | 0.228133i | ||||
\(29\) | 0.752237 | − | 2.31515i | 0.139687 | − | 0.429912i | −0.856603 | − | 0.515977i | \(-0.827429\pi\) |
0.996290 | + | 0.0860646i | \(0.0274292\pi\) | |||||||
\(30\) | 0.0718424 | + | 0.0385270i | 0.0131166 | + | 0.00703404i | ||||
\(31\) | −4.28852 | − | 5.90265i | −0.770241 | − | 1.06015i | −0.996292 | − | 0.0860310i | \(-0.972582\pi\) |
0.226051 | − | 0.974115i | \(-0.427418\pi\) | |||||||
\(32\) | −3.55867 | − | 4.39725i | −0.629091 | − | 0.777332i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.89431 | − | 2.77522i | 0.496370 | − | 0.475946i | ||||
\(35\) | 0.849956 | + | 1.16986i | 0.143669 | + | 0.197743i | ||||
\(36\) | 5.77735 | − | 1.61233i | 0.962892 | − | 0.268722i | ||||
\(37\) | 7.94648 | + | 2.58197i | 1.30639 | + | 0.424473i | 0.877801 | − | 0.479025i | \(-0.159010\pi\) |
0.428592 | + | 0.903498i | \(0.359010\pi\) | |||||||
\(38\) | 1.31286 | − | 0.179760i | 0.212974 | − | 0.0291610i | ||||
\(39\) | −0.123091 | − | 0.0894310i | −0.0197104 | − | 0.0143204i | ||||
\(40\) | −4.87361 | + | 2.10797i | −0.770585 | + | 0.333300i | ||||
\(41\) | 4.22866 | − | 1.37398i | 0.660406 | − | 0.214579i | 0.0404094 | − | 0.999183i | \(-0.487134\pi\) |
0.619997 | + | 0.784604i | \(0.287134\pi\) | |||||||
\(42\) | −0.0329179 | − | 0.00592488i | −0.00507935 | − | 0.000914229i | ||||
\(43\) | 1.62863i | 0.248364i | 0.992259 | + | 0.124182i | \(0.0396306\pi\) | ||||
−0.992259 | + | 0.124182i | \(0.960369\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | − | 5.63029i | − | 0.839314i | ||||||
\(46\) | −1.05093 | + | 5.83883i | −0.154951 | + | 0.860889i | ||||
\(47\) | −11.2614 | + | 3.65904i | −1.64264 | + | 0.533727i | −0.977127 | − | 0.212658i | \(-0.931788\pi\) |
−0.665515 | + | 0.746385i | \(0.731788\pi\) | |||||||
\(48\) | 0.0476214 | − | 0.113212i | 0.00687355 | − | 0.0163407i | ||||
\(49\) | 5.18314 | + | 3.76577i | 0.740449 | + | 0.537967i | ||||
\(50\) | −0.283081 | − | 2.06745i | −0.0400337 | − | 0.292382i | ||||
\(51\) | 0.0827995 | + | 0.0269032i | 0.0115942 | + | 0.00376720i | ||||
\(52\) | 9.54563 | − | 2.66397i | 1.32374 | − | 0.369427i | ||||
\(53\) | −3.01608 | − | 4.15128i | −0.414291 | − | 0.570222i | 0.549968 | − | 0.835186i | \(-0.314640\pi\) |
−0.964258 | + | 0.264964i | \(0.914640\pi\) | |||||||
\(54\) | 0.180292 | + | 0.188029i | 0.0245346 | + | 0.0255875i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.63445 | − | 1.44044i | 0.218412 | − | 0.192487i | ||||
\(57\) | 0.0169108 | + | 0.0232757i | 0.00223989 | + | 0.00308294i | ||||
\(58\) | −1.62698 | + | 3.03388i | −0.213634 | + | 0.398368i | ||||
\(59\) | −2.95664 | + | 9.09960i | −0.384922 | + | 1.18467i | 0.551616 | + | 0.834098i | \(0.314012\pi\) |
−0.936537 | + | 0.350568i | \(0.885988\pi\) | |||||||
\(60\) | −0.0903420 | − | 0.0716216i | −0.0116631 | − | 0.00924631i | ||||
\(61\) | −4.43282 | − | 3.22063i | −0.567564 | − | 0.412360i | 0.266655 | − | 0.963792i | \(-0.414081\pi\) |
−0.834220 | + | 0.551432i | \(0.814081\pi\) | |||||||
\(62\) | 4.49025 | + | 9.28994i | 0.570263 | + | 1.17982i | ||||
\(63\) | 0.713838 | + | 2.19697i | 0.0899351 | + | 0.276792i | ||||
\(64\) | 3.85154 | + | 7.01182i | 0.481443 | + | 0.876477i | ||||
\(65\) | − | 9.30265i | − | 1.15385i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.19304 | 0.878770 | 0.439385 | − | 0.898299i | \(-0.355196\pi\) | ||||
0.439385 | + | 0.898299i | \(0.355196\pi\) | |||||||
\(68\) | −4.72368 | + | 3.13760i | −0.572831 | + | 0.380490i | ||||
\(69\) | −0.122504 | + | 0.0398039i | −0.0147477 | + | 0.00479182i | ||||
\(70\) | −0.889938 | − | 1.84120i | −0.106368 | − | 0.220066i | ||||
\(71\) | 6.08697 | − | 8.37799i | 0.722390 | − | 0.994285i | −0.277051 | − | 0.960855i | \(-0.589357\pi\) |
0.999441 | − | 0.0334293i | \(-0.0106429\pi\) | |||||||
\(72\) | −8.44511 | + | 0.796788i | −0.995266 | + | 0.0939023i | ||||
\(73\) | −10.2803 | − | 3.34028i | −1.20322 | − | 0.390951i | −0.362277 | − | 0.932070i | \(-0.618001\pi\) |
−0.840946 | + | 0.541120i | \(0.818001\pi\) | |||||||
\(74\) | −10.4135 | − | 5.58444i | −1.21054 | − | 0.649178i | ||||
\(75\) | 0.0366539 | − | 0.0266306i | 0.00423243 | − | 0.00307504i | ||||
\(76\) | −1.87233 | − | 0.0786957i | −0.214771 | − | 0.00902702i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.148920 | + | 0.155311i | 0.0168619 | + | 0.0175855i | ||||
\(79\) | 13.0415 | − | 9.47522i | 1.46729 | − | 1.06605i | 0.485897 | − | 0.874016i | \(-0.338493\pi\) |
0.981389 | − | 0.192030i | \(-0.0615071\pi\) | |||||||
\(80\) | 7.31141 | − | 1.71305i | 0.817440 | − | 0.191525i | ||||
\(81\) | 2.77853 | − | 8.55144i | 0.308726 | − | 0.950160i | ||||
\(82\) | −6.22986 | + | 0.853010i | −0.687973 | + | 0.0941992i | ||||
\(83\) | 7.54016 | − | 10.3781i | 0.827640 | − | 1.13915i | −0.160718 | − | 0.987000i | \(-0.551381\pi\) |
0.988358 | − | 0.152148i | \(-0.0486190\pi\) | |||||||
\(84\) | 0.0443325 | + | 0.0164931i | 0.00483707 | + | 0.00179954i | ||||
\(85\) | 1.64490 | + | 5.06250i | 0.178415 | + | 0.549105i | ||||
\(86\) | 0.408001 | − | 2.26681i | 0.0439959 | − | 0.244436i | ||||
\(87\) | −0.0747448 | −0.00801348 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.937242 | −0.0993475 | −0.0496737 | − | 0.998765i | \(-0.515818\pi\) | ||||
−0.0496737 | + | 0.998765i | \(0.515818\pi\) | |||||||
\(90\) | −1.41049 | + | 7.83650i | −0.148678 | + | 0.826040i | ||||
\(91\) | 1.17944 | + | 3.62994i | 0.123639 | + | 0.380521i | ||||
\(92\) | 2.92546 | − | 7.86349i | 0.305001 | − | 0.819826i | ||||
\(93\) | −0.131679 | + | 0.181241i | −0.0136545 | + | 0.0187938i | ||||
\(94\) | 16.5908 | − | 2.27166i | 1.71121 | − | 0.234303i | ||||
\(95\) | −0.543581 | + | 1.67297i | −0.0557703 | + | 0.171643i | ||||
\(96\) | −0.0946433 | + | 0.145644i | −0.00965949 | + | 0.0148647i | ||||
\(97\) | −3.44202 | + | 2.50078i | −0.349484 | + | 0.253915i | −0.748653 | − | 0.662962i | \(-0.769299\pi\) |
0.399168 | + | 0.916878i | \(0.369299\pi\) | |||||||
\(98\) | −6.27075 | − | 6.53985i | −0.633441 | − | 0.660625i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.123928 | + | 2.94850i | −0.0123928 | + | 0.294850i | ||||
\(101\) | 9.22607 | − | 6.70313i | 0.918028 | − | 0.666986i | −0.0250044 | − | 0.999687i | \(-0.507960\pi\) |
0.943032 | + | 0.332701i | \(0.107960\pi\) | |||||||
\(102\) | −0.108505 | − | 0.0581879i | −0.0107435 | − | 0.00576146i | ||||
\(103\) | −6.51294 | − | 2.11618i | −0.641739 | − | 0.208514i | −0.0299708 | − | 0.999551i | \(-0.509541\pi\) |
−0.611768 | + | 0.791037i | \(0.709541\pi\) | |||||||
\(104\) | −13.9534 | + | 1.31649i | −1.36825 | + | 0.129093i | ||||
\(105\) | 0.0260979 | − | 0.0359207i | 0.00254689 | − | 0.00350550i | ||||
\(106\) | 3.15796 | + | 6.53353i | 0.306728 | + | 0.634593i | ||||
\(107\) | −3.72316 | + | 1.20973i | −0.359931 | + | 0.116949i | −0.483400 | − | 0.875400i | \(-0.660598\pi\) |
0.123469 | + | 0.992348i | \(0.460598\pi\) | |||||||
\(108\) | −0.203834 | − | 0.306874i | −0.0196139 | − | 0.0295289i | ||||
\(109\) | 10.9231 | 1.04625 | 0.523124 | − | 0.852257i | \(-0.324766\pi\) | ||||
0.523124 | + | 0.852257i | \(0.324766\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 0.256553i | − | 0.0243509i | ||||||
\(112\) | −2.63576 | + | 1.59542i | −0.249056 | + | 0.150753i | ||||
\(113\) | −4.75679 | − | 14.6399i | −0.447481 | − | 1.37721i | −0.879740 | − | 0.475456i | \(-0.842283\pi\) |
0.432259 | − | 0.901750i | \(-0.357717\pi\) | |||||||
\(114\) | −0.0177063 | − | 0.0366327i | −0.00165834 | − | 0.00343097i | ||||
\(115\) | −6.37144 | − | 4.62912i | −0.594140 | − | 0.431668i | ||||
\(116\) | 3.02456 | − | 3.81512i | 0.280823 | − | 0.354225i | ||||
\(117\) | 4.59228 | − | 14.1336i | 0.424556 | − | 1.30665i | ||||
\(118\) | 6.39480 | − | 11.9246i | 0.588689 | − | 1.09775i | ||||
\(119\) | −1.28370 | − | 1.76686i | −0.117677 | − | 0.161968i | ||||
\(120\) | 0.107800 | + | 0.122319i | 0.00984074 | + | 0.0111661i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 5.36298 | + | 5.59313i | 0.485542 | + | 0.506378i | ||||
\(123\) | −0.0802461 | − | 0.110449i | −0.00723555 | − | 0.00995888i | ||||
\(124\) | −3.92246 | − | 14.0551i | −0.352247 | − | 1.26218i | ||||
\(125\) | 11.5619 | + | 3.75668i | 1.03413 | + | 0.336008i | ||||
\(126\) | −0.443174 | − | 3.23667i | −0.0394811 | − | 0.288346i | ||||
\(127\) | 11.5280 | + | 8.37558i | 1.02294 | + | 0.743213i | 0.966884 | − | 0.255215i | \(-0.0821461\pi\) |
0.0560602 | + | 0.998427i | \(0.482146\pi\) | |||||||
\(128\) | −3.60418 | − | 10.7243i | −0.318567 | − | 0.947900i | ||||
\(129\) | 0.0475595 | − | 0.0154530i | 0.00418738 | − | 0.00136056i | ||||
\(130\) | −2.33048 | + | 12.9479i | −0.204397 | + | 1.13560i | ||||
\(131\) | 2.38192i | 0.208109i | 0.994572 | + | 0.104055i | \(0.0331817\pi\) | ||||
−0.994572 | + | 0.104055i | \(0.966818\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 0.721720i | − | 0.0625811i | ||||||
\(134\) | −10.0116 | − | 1.80199i | −0.864872 | − | 0.155668i | ||||
\(135\) | −0.328885 | + | 0.106861i | −0.0283059 | + | 0.00919714i | ||||
\(136\) | 7.36067 | − | 3.18370i | 0.631172 | − | 0.273000i | ||||
\(137\) | −6.23295 | − | 4.52851i | −0.532517 | − | 0.386896i | 0.288781 | − | 0.957395i | \(-0.406750\pi\) |
−0.821298 | + | 0.570499i | \(0.806750\pi\) | |||||||
\(138\) | 0.180478 | − | 0.0247116i | 0.0153633 | − | 0.00210359i | ||||
\(139\) | 10.3331 | + | 3.35743i | 0.876444 | + | 0.284774i | 0.712480 | − | 0.701693i | \(-0.247572\pi\) |
0.163964 | + | 0.986466i | \(0.447572\pi\) | |||||||
\(140\) | 0.777404 | + | 2.78562i | 0.0657027 | + | 0.235428i | ||||
\(141\) | 0.213704 | + | 0.294138i | 0.0179971 | + | 0.0247709i | ||||
\(142\) | −10.5710 | + | 10.1360i | −0.887096 | + | 0.850594i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 11.9539 | + | 1.00664i | 0.996160 | + | 0.0838870i | ||||
\(145\) | −2.68619 | − | 3.69722i | −0.223076 | − | 0.307038i | ||||
\(146\) | 13.4719 | + | 7.22458i | 1.11494 | + | 0.597910i | ||||
\(147\) | 0.0607892 | − | 0.187090i | 0.00501381 | − | 0.0154309i | ||||
\(148\) | 13.0950 | + | 10.3815i | 1.07640 | + | 0.853350i | ||||
\(149\) | −8.14172 | − | 5.91531i | −0.666996 | − | 0.484601i | 0.202022 | − | 0.979381i | \(-0.435249\pi\) |
−0.869018 | + | 0.494780i | \(0.835249\pi\) | |||||||
\(150\) | −0.0576881 | + | 0.0278833i | −0.00471021 | + | 0.00227666i | ||||
\(151\) | −3.69480 | − | 11.3714i | −0.300678 | − | 0.925393i | −0.981255 | − | 0.192716i | \(-0.938270\pi\) |
0.680576 | − | 0.732677i | \(-0.261730\pi\) | |||||||
\(152\) | 2.58629 | + | 0.578586i | 0.209776 | + | 0.0469295i | ||||
\(153\) | 8.50349i | 0.687467i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.6973 | −1.10019 | ||||||||
\(156\) | −0.168366 | − | 0.253476i | −0.0134801 | − | 0.0202944i | ||||
\(157\) | −6.63016 | + | 2.15427i | −0.529144 | + | 0.171929i | −0.561391 | − | 0.827550i | \(-0.689734\pi\) |
0.0322469 | + | 0.999480i | \(0.489734\pi\) | |||||||
\(158\) | −20.5255 | + | 9.92094i | −1.63292 | + | 0.789267i | ||||
\(159\) | −0.0926087 | + | 0.127465i | −0.00734435 | + | 0.0101086i | ||||
\(160\) | −10.6055 | + | 0.552670i | −0.838440 | + | 0.0436924i | ||||
\(161\) | 3.07307 | + | 0.998502i | 0.242192 | + | 0.0786930i | ||||
\(162\) | −6.00958 | + | 11.2062i | −0.472157 | + | 0.880445i | ||||
\(163\) | −15.3726 | + | 11.1688i | −1.20407 | + | 0.874810i | −0.994679 | − | 0.103022i | \(-0.967149\pi\) |
−0.209393 | + | 0.977832i | \(0.567149\pi\) | |||||||
\(164\) | 8.88472 | + | 0.373432i | 0.693780 | + | 0.0291601i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −13.0947 | + | 12.5558i | −1.01634 | + | 0.974522i | ||||
\(167\) | −15.2200 | + | 11.0580i | −1.17776 | + | 0.855693i | −0.991917 | − | 0.126887i | \(-0.959502\pi\) |
−0.185843 | + | 0.982579i | \(0.559502\pi\) | |||||||
\(168\) | −0.0575723 | − | 0.0340619i | −0.00444180 | − | 0.00262793i | ||||
\(169\) | 3.57037 | − | 10.9885i | 0.274644 | − | 0.845267i | ||||
\(170\) | −1.02121 | − | 7.45830i | −0.0783233 | − | 0.572026i | ||||
\(171\) | −1.65173 | + | 2.27342i | −0.126311 | + | 0.173852i | ||||
\(172\) | −1.13575 | + | 3.05284i | −0.0866002 | + | 0.232777i | ||||
\(173\) | 5.49543 | + | 16.9132i | 0.417810 | + | 1.28589i | 0.909713 | + | 0.415237i | \(0.136301\pi\) |
−0.491903 | + | 0.870650i | \(0.663699\pi\) | |||||||
\(174\) | 0.104033 | + | 0.0187249i | 0.00788675 | + | 0.00141953i | ||||
\(175\) | −1.13654 | −0.0859146 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.293782 | 0.0220820 | ||||||||
\(178\) | 1.30450 | + | 0.234796i | 0.0977763 | + | 0.0175987i | ||||
\(179\) | 5.25558 | + | 16.1750i | 0.392821 | + | 1.20898i | 0.930646 | + | 0.365921i | \(0.119246\pi\) |
−0.537825 | + | 0.843056i | \(0.680754\pi\) | |||||||
\(180\) | 3.92637 | − | 10.5539i | 0.292654 | − | 0.786639i | ||||
\(181\) | −4.41625 | + | 6.07844i | −0.328257 | + | 0.451807i | −0.940966 | − | 0.338502i | \(-0.890080\pi\) |
0.612709 | + | 0.790309i | \(0.290080\pi\) | |||||||
\(182\) | −0.732235 | − | 5.34779i | −0.0542769 | − | 0.396405i | ||||
\(183\) | −0.0519892 | + | 0.160006i | −0.00384315 | + | 0.0118280i | ||||
\(184\) | −6.04175 | + | 10.2119i | −0.445404 | + | 0.752832i | ||||
\(185\) | 12.6903 | − | 9.22004i | 0.933009 | − | 0.677871i | ||||
\(186\) | 0.228681 | − | 0.219271i | 0.0167677 | − | 0.0160778i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −23.6609 | − | 0.994488i | −1.72565 | − | 0.0725305i | ||||
\(189\) | 0.114784 | − | 0.0833955i | 0.00834931 | − | 0.00606613i | ||||
\(190\) | 1.17569 | − | 2.19235i | 0.0852937 | − | 0.159049i | ||||
\(191\) | −5.12420 | − | 1.66495i | −0.370774 | − | 0.120472i | 0.117702 | − | 0.993049i | \(-0.462447\pi\) |
−0.488477 | + | 0.872577i | \(0.662447\pi\) | |||||||
\(192\) | 0.168215 | − | 0.179004i | 0.0121399 | − | 0.0129185i | ||||
\(193\) | −9.72421 | + | 13.3842i | −0.699964 | + | 0.963417i | 0.299992 | + | 0.953942i | \(0.403016\pi\) |
−0.999955 | + | 0.00947536i | \(0.996984\pi\) | |||||||
\(194\) | 5.41726 | − | 2.61841i | 0.388937 | − | 0.187991i | ||||
\(195\) | −0.271657 | + | 0.0882668i | −0.0194538 | + | 0.00632092i | ||||
\(196\) | 7.08958 | + | 10.6734i | 0.506399 | + | 0.762387i | ||||
\(197\) | 7.90650 | 0.563314 | 0.281657 | − | 0.959515i | \(-0.409116\pi\) | ||||
0.281657 | + | 0.959515i | \(0.409116\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.7243i | 0.760225i | 0.924940 | + | 0.380113i | \(0.124115\pi\) | ||||
−0.924940 | + | 0.380113i | \(0.875885\pi\) | |||||||
\(200\) | 0.911139 | − | 4.07281i | 0.0644273 | − | 0.287991i | ||||
\(201\) | −0.0682501 | − | 0.210052i | −0.00481399 | − | 0.0148159i | ||||
\(202\) | −14.5205 | + | 7.01844i | −1.02166 | + | 0.493816i | ||||
\(203\) | 1.51692 | + | 1.10211i | 0.106467 | + | 0.0773526i | ||||
\(204\) | 0.136445 | + | 0.108171i | 0.00955304 | + | 0.00757349i | ||||
\(205\) | 2.57944 | − | 7.93869i | 0.180156 | − | 0.554462i | ||||
\(206\) | 8.53488 | + | 4.57701i | 0.594653 | + | 0.318895i | ||||
\(207\) | −7.39499 | − | 10.1783i | −0.513988 | − | 0.707443i | ||||
\(208\) | 19.7509 | + | 1.66323i | 1.36948 | + | 0.115324i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −0.0453231 | + | 0.0434581i | −0.00312759 | + | 0.00299889i | ||||
\(211\) | 9.26076 | + | 12.7463i | 0.637537 | + | 0.877494i | 0.998481 | − | 0.0550931i | \(-0.0175456\pi\) |
−0.360944 | + | 0.932587i | \(0.617546\pi\) | |||||||
\(212\) | −2.75863 | − | 9.88481i | −0.189463 | − | 0.678892i | ||||
\(213\) | −0.302411 | − | 0.0982592i | −0.0207208 | − | 0.00673261i | ||||
\(214\) | 5.48513 | − | 0.751038i | 0.374955 | − | 0.0513399i | ||||
\(215\) | 2.47358 | + | 1.79716i | 0.168697 | + | 0.122565i | ||||
\(216\) | 0.206829 | + | 0.478186i | 0.0140729 | + | 0.0325364i | ||||
\(217\) | 5.34475 | − | 1.73662i | 0.362825 | − | 0.117889i | ||||
\(218\) | −15.2034 | − | 2.73644i | −1.02970 | − | 0.185335i | ||||
\(219\) | 0.331902i | 0.0224279i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.0499i | 0.945099i | ||||||||
\(222\) | −0.0642711 | + | 0.357083i | −0.00431359 | + | 0.0239658i | ||||
\(223\) | −4.03540 | + | 1.31118i | −0.270230 | + | 0.0878032i | −0.440998 | − | 0.897508i | \(-0.645375\pi\) |
0.170767 | + | 0.985311i | \(0.445375\pi\) | |||||||
\(224\) | 4.06826 | − | 1.56028i | 0.271822 | − | 0.104250i | ||||
\(225\) | 3.58011 | + | 2.60110i | 0.238674 | + | 0.173407i | ||||
\(226\) | 2.95317 | + | 21.5682i | 0.196442 | + | 1.43469i | ||||
\(227\) | 13.3236 | + | 4.32909i | 0.884317 | + | 0.287332i | 0.715749 | − | 0.698358i | \(-0.246086\pi\) |
0.168568 | + | 0.985690i | \(0.446086\pi\) | |||||||
\(228\) | 0.0154673 | + | 0.0554229i | 0.00102435 | + | 0.00367047i | ||||
\(229\) | 13.6130 | + | 18.7368i | 0.899576 | + | 1.23816i | 0.970603 | + | 0.240685i | \(0.0773721\pi\) |
−0.0710277 | + | 0.997474i | \(0.522628\pi\) | |||||||
\(230\) | 7.70840 | + | 8.03920i | 0.508277 | + | 0.530089i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.16548 | + | 4.55235i | −0.339130 | + | 0.298877i | ||||
\(233\) | −8.18477 | − | 11.2654i | −0.536202 | − | 0.738019i | 0.451858 | − | 0.892090i | \(-0.350761\pi\) |
−0.988060 | + | 0.154071i | \(0.950761\pi\) | |||||||
\(234\) | −9.93246 | + | 18.5213i | −0.649305 | + | 1.21078i | ||||
\(235\) | −6.86931 | + | 21.1416i | −0.448105 | + | 1.37912i | ||||
\(236\) | −11.8879 | + | 14.9952i | −0.773837 | + | 0.976102i | ||||
\(237\) | −0.400440 | − | 0.290936i | −0.0260114 | − | 0.0188984i | ||||
\(238\) | 1.34408 | + | 2.78079i | 0.0871241 | + | 0.180252i | ||||
\(239\) | 2.44308 | + | 7.51903i | 0.158030 | + | 0.486366i | 0.998455 | − | 0.0555615i | \(-0.0176949\pi\) |
−0.840425 | + | 0.541927i | \(0.817695\pi\) | |||||||
\(240\) | −0.119398 | − | 0.197255i | −0.00770711 | − | 0.0127327i | ||||
\(241\) | 0.0255620i | 0.00164659i | 1.00000 | 0.000823296i | \(0.000262063\pi\) | |||||
−1.00000 | 0.000823296i | \(0.999738\pi\) | ||||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.828687 | −0.0531603 | ||||||||
\(244\) | −6.06328 | − | 9.12831i | −0.388162 | − | 0.584380i | ||||
\(245\) | 11.4390 | − | 3.71675i | 0.730810 | − | 0.237454i | ||||
\(246\) | 0.0840209 | + | 0.173832i | 0.00535698 | + | 0.0110831i | ||||
\(247\) | −2.72908 | + | 3.75625i | −0.173647 | + | 0.239005i | ||||
\(248\) | 1.93842 | + | 20.5452i | 0.123090 | + | 1.30462i | ||||
\(249\) | −0.374608 | − | 0.121717i | −0.0237398 | − | 0.00771353i | ||||
\(250\) | −15.1513 | − | 8.12519i | −0.958250 | − | 0.513882i | ||||
\(251\) | 8.44464 | − | 6.13539i | 0.533021 | − | 0.387262i | −0.288466 | − | 0.957490i | \(-0.593145\pi\) |
0.821486 | + | 0.570228i | \(0.193145\pi\) | |||||||
\(252\) | −0.194013 | + | 4.61598i | −0.0122217 | + | 0.290779i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −13.9470 | − | 14.5455i | −0.875112 | − | 0.912666i | ||||
\(255\) | 0.132228 | − | 0.0960695i | 0.00828046 | − | 0.00601611i | ||||
\(256\) | 2.32985 | + | 15.8295i | 0.145615 | + | 0.989341i | ||||
\(257\) | 4.25326 | − | 13.0902i | 0.265311 | − | 0.816544i | −0.726310 | − | 0.687367i | \(-0.758766\pi\) |
0.991622 | − | 0.129177i | \(-0.0412335\pi\) | |||||||
\(258\) | −0.0700669 | + | 0.00959375i | −0.00436217 | + | 0.000597281i | ||||
\(259\) | −3.78285 | + | 5.20665i | −0.235055 | + | 0.323525i | ||||
\(260\) | 6.48735 | − | 17.4376i | 0.402328 | − | 1.08144i | ||||
\(261\) | −2.25600 | − | 6.94326i | −0.139643 | − | 0.429777i | ||||
\(262\) | 0.596713 | − | 3.31527i | 0.0368651 | − | 0.204818i | ||||
\(263\) | −5.91670 | −0.364839 | −0.182420 | − | 0.983221i | \(-0.558393\pi\) | ||||
−0.182420 | + | 0.983221i | \(0.558393\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.63319 | −0.591762 | ||||||||
\(266\) | −0.180804 | + | 1.00452i | −0.0110858 | + | 0.0615914i | ||||
\(267\) | 0.00889289 | + | 0.0273695i | 0.000544236 | + | 0.00167499i | ||||
\(268\) | 13.4832 | + | 5.01618i | 0.823619 | + | 0.306412i | ||||
\(269\) | −5.85204 | + | 8.05464i | −0.356805 | + | 0.491100i | −0.949255 | − | 0.314507i | \(-0.898161\pi\) |
0.592450 | + | 0.805607i | \(0.298161\pi\) | |||||||
\(270\) | 0.484528 | − | 0.0663429i | 0.0294874 | − | 0.00403750i | ||||
\(271\) | 1.40314 | − | 4.31843i | 0.0852348 | − | 0.262326i | −0.899351 | − | 0.437227i | \(-0.855961\pi\) |
0.984586 | + | 0.174901i | \(0.0559606\pi\) | |||||||
\(272\) | −11.0425 | + | 2.58724i | −0.669550 | + | 0.156875i | ||||
\(273\) | 0.0948111 | − | 0.0688843i | 0.00573823 | − | 0.00416907i | ||||
\(274\) | 7.54085 | + | 7.86446i | 0.455559 | + | 0.475109i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.257389 | − | 0.0108183i | −0.0154930 | − | 0.000651183i | ||||
\(277\) | −9.21914 | + | 6.69810i | −0.553925 | + | 0.402450i | −0.829230 | − | 0.558907i | \(-0.811221\pi\) |
0.275306 | + | 0.961357i | \(0.411221\pi\) | |||||||
\(278\) | −13.5410 | − | 7.26167i | −0.812137 | − | 0.435526i | ||||
\(279\) | −20.8104 | − | 6.76170i | −1.24589 | − | 0.404813i | ||||
\(280\) | −0.384181 | − | 4.07191i | −0.0229592 | − | 0.243343i | ||||
\(281\) | −5.25746 | + | 7.23627i | −0.313634 | + | 0.431680i | −0.936510 | − | 0.350640i | \(-0.885964\pi\) |
0.622876 | + | 0.782320i | \(0.285964\pi\) | |||||||
\(282\) | −0.223757 | − | 0.462932i | −0.0133245 | − | 0.0275672i | ||||
\(283\) | −11.6217 | + | 3.77613i | −0.690840 | + | 0.224468i | −0.633335 | − | 0.773878i | \(-0.718314\pi\) |
−0.0575050 | + | 0.998345i | \(0.518314\pi\) | |||||||
\(284\) | 17.2524 | − | 11.4595i | 1.02374 | − | 0.679999i | ||||
\(285\) | 0.0540121 | 0.00319940 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.42475i | 0.202157i | ||||||||
\(288\) | −16.3859 | − | 4.39577i | −0.965546 | − | 0.259023i | ||||
\(289\) | 2.76897 | + | 8.52201i | 0.162881 | + | 0.501295i | ||||
\(290\) | 2.81255 | + | 5.81891i | 0.165158 | + | 0.341698i | ||||
\(291\) | 0.105687 | + | 0.0767862i | 0.00619549 | + | 0.00450129i | ||||
\(292\) | −16.9409 | − | 13.4305i | −0.991392 | − | 0.785958i | ||||
\(293\) | −4.50370 | + | 13.8610i | −0.263109 | + | 0.809767i | 0.729014 | + | 0.684499i | \(0.239979\pi\) |
−0.992123 | + | 0.125268i | \(0.960021\pi\) | |||||||
\(294\) | −0.131479 | + | 0.245172i | −0.00766799 | + | 0.0142987i | ||||
\(295\) | 10.5580 | + | 14.5318i | 0.614709 | + | 0.846074i | ||||
\(296\) | −15.6254 | − | 17.7299i | −0.908211 | − | 1.03053i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.85015 | + | 10.2729i | 0.570604 | + | 0.595090i | ||||
\(299\) | −12.2184 | − | 16.8172i | −0.706607 | − | 0.972562i | ||||
\(300\) | 0.0872783 | − | 0.0243574i | 0.00503901 | − | 0.00140628i | ||||
\(301\) | −1.19306 | − | 0.387647i | −0.0687666 | − | 0.0223436i | ||||
\(302\) | 2.29385 | + | 16.7529i | 0.131996 | + | 0.964021i | ||||
\(303\) | −0.283286 | − | 0.205819i | −0.0162744 | − | 0.0118240i | ||||
\(304\) | −3.45478 | − | 1.45321i | −0.198145 | − | 0.0833476i | ||||
\(305\) | −9.78305 | + | 3.17871i | −0.560176 | + | 0.182012i | ||||
\(306\) | 2.13028 | − | 11.8356i | 0.121780 | − | 0.676594i | ||||
\(307\) | 30.0971i | 1.71773i | 0.512199 | + | 0.858867i | \(0.328831\pi\) | ||||
−0.512199 | + | 0.858867i | \(0.671169\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.210271i | 0.0119619i | ||||||||
\(310\) | 19.0646 | + | 3.43142i | 1.08279 | + | 0.194891i | ||||
\(311\) | 6.79059 | − | 2.20640i | 0.385059 | − | 0.125113i | −0.110089 | − | 0.993922i | \(-0.535114\pi\) |
0.495148 | + | 0.868808i | \(0.335114\pi\) | |||||||
\(312\) | 0.170840 | + | 0.394979i | 0.00967189 | + | 0.0223613i | ||||
\(313\) | 11.7496 | + | 8.53659i | 0.664127 | + | 0.482516i | 0.868054 | − | 0.496470i | \(-0.165371\pi\) |
−0.203927 | + | 0.978986i | \(0.565371\pi\) | |||||||
\(314\) | 9.76786 | − | 1.33744i | 0.551232 | − | 0.0754762i | ||||
\(315\) | 4.12448 | + | 1.34012i | 0.232388 | + | 0.0755074i | ||||
\(316\) | 31.0538 | − | 8.66642i | 1.74691 | − | 0.487524i | ||||
\(317\) | 3.25902 | + | 4.48565i | 0.183045 | + | 0.251939i | 0.890672 | − | 0.454646i | \(-0.150234\pi\) |
−0.707627 | + | 0.706586i | \(0.750234\pi\) | |||||||
\(318\) | 0.160829 | − | 0.154212i | 0.00901887 | − | 0.00864776i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 14.8997 | + | 1.88764i | 0.832920 | + | 0.105522i | ||||
\(321\) | 0.0706533 | + | 0.0972459i | 0.00394348 | + | 0.00542773i | ||||
\(322\) | −4.02711 | − | 2.15962i | −0.224422 | − | 0.120351i | ||||
\(323\) | 0.820978 | − | 2.52671i | 0.0456804 | − | 0.140590i | ||||
\(324\) | 11.1718 | − | 14.0919i | 0.620655 | − | 0.782881i | ||||
\(325\) | 5.91524 | + | 4.29767i | 0.328118 | + | 0.238392i | ||||
\(326\) | 24.1943 | − | 11.6942i | 1.34000 | − | 0.647682i | ||||
\(327\) | −0.103643 | − | 0.318980i | −0.00573146 | − | 0.0176396i | ||||
\(328\) | −12.2726 | − | 2.74554i | −0.677642 | − | 0.151597i | ||||
\(329\) | − | 9.12048i | − | 0.502828i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.49667 | −0.247159 | −0.123580 | − | 0.992335i | \(-0.539437\pi\) | ||||
−0.123580 | + | 0.992335i | \(0.539437\pi\) | |||||||
\(332\) | 21.3712 | − | 14.1954i | 1.17290 | − | 0.779072i | ||||
\(333\) | 23.8319 | − | 7.74347i | 1.30598 | − | 0.424340i | ||||
\(334\) | 23.9542 | − | 11.5782i | 1.31071 | − | 0.633528i | ||||
\(335\) | 7.93738 | − | 10.9249i | 0.433665 | − | 0.596889i | ||||
\(336\) | 0.0715987 | + | 0.0618319i | 0.00390603 | + | 0.00337321i | ||||
\(337\) | −8.85940 | − | 2.87859i | −0.482602 | − | 0.156807i | 0.0576042 | − | 0.998339i | \(-0.481654\pi\) |
−0.540206 | + | 0.841533i | \(0.681654\pi\) | |||||||
\(338\) | −7.72222 | + | 14.3998i | −0.420034 | + | 0.783248i | ||||
\(339\) | −0.382382 | + | 0.277817i | −0.0207682 | + | 0.0150890i | ||||
\(340\) | −0.447067 | + | 10.6367i | −0.0242456 | + | 0.576854i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 2.86849 | − | 2.75046i | 0.155110 | − | 0.148728i | ||||
\(343\) | −8.35434 | + | 6.06978i | −0.451092 | + | 0.327738i | ||||
\(344\) | 2.34558 | − | 3.96456i | 0.126465 | − | 0.213755i | ||||
\(345\) | −0.0747259 | + | 0.229983i | −0.00402311 | + | 0.0123818i | ||||
\(346\) | −3.41175 | − | 24.9173i | −0.183417 | − | 1.33956i | ||||
\(347\) | 11.6006 | − | 15.9668i | 0.622752 | − | 0.857145i | −0.374798 | − | 0.927107i | \(-0.622288\pi\) |
0.997550 | + | 0.0699619i | \(0.0222878\pi\) | |||||||
\(348\) | −0.140108 | − | 0.0521244i | −0.00751056 | − | 0.00279416i | ||||
\(349\) | −6.63013 | − | 20.4054i | −0.354903 | − | 1.09228i | −0.956066 | − | 0.293152i | \(-0.905296\pi\) |
0.601163 | − | 0.799126i | \(-0.294704\pi\) | |||||||
\(350\) | 1.58190 | + | 0.284724i | 0.0845559 | + | 0.0152192i | ||||
\(351\) | −0.912751 | −0.0487191 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.68968 | −0.249606 | −0.124803 | − | 0.992182i | \(-0.539830\pi\) | ||||
−0.124803 | + | 0.992182i | \(0.539830\pi\) | |||||||
\(354\) | −0.408899 | − | 0.0735975i | −0.0217327 | − | 0.00391166i | ||||
\(355\) | −6.00773 | − | 18.4899i | −0.318857 | − | 0.981341i | ||||
\(356\) | −1.75684 | − | 0.653600i | −0.0931125 | − | 0.0346408i | ||||
\(357\) | −0.0394160 | + | 0.0542514i | −0.00208611 | + | 0.00287129i | ||||
\(358\) | −3.26284 | − | 23.8298i | −0.172446 | − | 1.25944i | ||||
\(359\) | −10.3662 | + | 31.9038i | −0.547106 | + | 1.68382i | 0.168822 | + | 0.985646i | \(0.446004\pi\) |
−0.715929 | + | 0.698173i | \(0.753996\pi\) | |||||||
\(360\) | −8.10884 | + | 13.7058i | −0.427373 | + | 0.722357i | ||||
\(361\) | −14.6610 | + | 10.6519i | −0.771634 | + | 0.560625i | ||||
\(362\) | 7.66950 | − | 7.35392i | 0.403100 | − | 0.386513i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.320559 | + | 7.62675i | −0.0168018 | + | 0.399751i | ||||
\(365\) | −16.4174 | + | 11.9279i | −0.859326 | + | 0.624337i | ||||
\(366\) | 0.112446 | − | 0.209680i | 0.00587762 | − | 0.0109602i | ||||
\(367\) | 0.478156 | + | 0.155362i | 0.0249595 | + | 0.00810984i | 0.321470 | − | 0.946920i | \(-0.395823\pi\) |
−0.296511 | + | 0.955030i | \(0.595823\pi\) | |||||||
\(368\) | 10.9675 | − | 12.6999i | 0.571718 | − | 0.662026i | ||||
\(369\) | 7.83791 | − | 10.7880i | 0.408025 | − | 0.561599i | ||||
\(370\) | −19.9728 | + | 9.65375i | −1.03833 | + | 0.501875i | ||||
\(371\) | 3.75892 | − | 1.22135i | 0.195153 | − | 0.0634092i | ||||
\(372\) | −0.373221 | + | 0.247904i | −0.0193506 | + | 0.0128532i | ||||
\(373\) | −6.94386 | −0.359539 | −0.179770 | − | 0.983709i | \(-0.557535\pi\) | ||||
−0.179770 | + | 0.983709i | \(0.557535\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | − | 0.373277i | − | 0.0192759i | ||||||
\(376\) | 32.6833 | + | 7.31167i | 1.68551 | + | 0.377070i | ||||
\(377\) | −3.72748 | − | 11.4720i | −0.191975 | − | 0.590838i | ||||
\(378\) | −0.180654 | + | 0.0873184i | −0.00929184 | + | 0.00449117i | ||||
\(379\) | −13.6327 | − | 9.90471i | −0.700263 | − | 0.508771i | 0.179755 | − | 0.983711i | \(-0.442470\pi\) |
−0.880018 | + | 0.474941i | \(0.842470\pi\) | |||||||
\(380\) | −2.18561 | + | 2.75688i | −0.112119 | + | 0.141425i | ||||
\(381\) | 0.135203 | − | 0.416113i | 0.00692668 | − | 0.0213181i | ||||
\(382\) | 6.71501 | + | 3.60107i | 0.343570 | + | 0.184247i | ||||
\(383\) | 7.17838 | + | 9.88019i | 0.366798 | + | 0.504854i | 0.952027 | − | 0.306014i | \(-0.0989954\pi\) |
−0.585229 | + | 0.810868i | \(0.698995\pi\) | |||||||
\(384\) | −0.278974 | + | 0.207005i | −0.0142363 | + | 0.0105637i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.8876 | − | 16.1927i | 0.859556 | − | 0.824187i | ||||
\(387\) | 2.87095 | + | 3.95153i | 0.145939 | + | 0.200867i | ||||
\(388\) | −8.19596 | + | 2.28731i | −0.416087 | + | 0.116121i | ||||
\(389\) | 8.15283 | + | 2.64901i | 0.413365 | + | 0.134310i | 0.508314 | − | 0.861172i | \(-0.330269\pi\) |
−0.0949493 | + | 0.995482i | \(0.530269\pi\) | |||||||
\(390\) | 0.400218 | − | 0.0547990i | 0.0202658 | − | 0.00277485i | ||||
\(391\) | 9.62287 | + | 6.99142i | 0.486649 | + | 0.353571i | ||||
\(392\) | −7.19374 | − | 16.6318i | −0.363339 | − | 0.840035i | ||||
\(393\) | 0.0695572 | − | 0.0226005i | 0.00350869 | − | 0.00114004i | ||||
\(394\) | −11.0046 | − | 1.98072i | −0.554406 | − | 0.0997872i | ||||
\(395\) | − | 30.2633i | − | 1.52271i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 11.8767i | − | 0.596072i | −0.954555 | − | 0.298036i | \(-0.903668\pi\) | ||
0.954555 | − | 0.298036i | \(-0.0963316\pi\) | |||||||
\(398\) | 2.68663 | − | 14.9266i | 0.134669 | − | 0.748202i | ||||
\(399\) | −0.0210758 | + | 0.00684794i | −0.00105511 | + | 0.000342826i | ||||
\(400\) | −2.28848 | + | 5.44048i | −0.114424 | + | 0.272024i | ||||
\(401\) | −2.09712 | − | 1.52365i | −0.104725 | − | 0.0760873i | 0.534190 | − | 0.845364i | \(-0.320617\pi\) |
−0.638915 | + | 0.769277i | \(0.720617\pi\) | |||||||
\(402\) | 0.0423720 | + | 0.309459i | 0.00211332 | + | 0.0154344i | ||||
\(403\) | −34.3840 | − | 11.1720i | −1.71279 | − | 0.556519i | ||||
\(404\) | 21.9686 | − | 6.13095i | 1.09298 | − | 0.305026i | ||||
\(405\) | −9.92196 | − | 13.6564i | −0.493026 | − | 0.678592i | ||||
\(406\) | −1.83522 | − | 1.91398i | −0.0910805 | − | 0.0949891i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −0.162812 | − | 0.184739i | −0.00806037 | − | 0.00914596i | ||||
\(409\) | 17.5104 | + | 24.1010i | 0.865834 | + | 1.19172i | 0.980147 | + | 0.198273i | \(0.0635334\pi\) |
−0.114313 | + | 0.993445i | \(0.536467\pi\) | |||||||
\(410\) | −5.57897 | + | 10.4033i | −0.275526 | + | 0.513780i | ||||
\(411\) | −0.0731016 | + | 0.224984i | −0.00360584 | + | 0.0110976i | ||||
\(412\) | −10.7326 | − | 8.50864i | −0.528759 | − | 0.419191i | ||||
\(413\) | −5.96219 | − | 4.33178i | −0.293380 | − | 0.213153i | ||||
\(414\) | 7.74285 | + | 16.0193i | 0.380540 | + | 0.787304i | ||||
\(415\) | −7.44200 | − | 22.9041i | −0.365313 | − | 1.12432i | ||||
\(416\) | −27.0735 | − | 7.26291i | −1.32739 | − | 0.356093i | ||||
\(417\) | − | 0.333606i | − | 0.0163367i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 29.5212 | 1.44221 | 0.721103 | − | 0.692828i | \(-0.243635\pi\) | ||||
0.721103 | + | 0.692828i | \(0.243635\pi\) | |||||||
\(420\) | 0.0739698 | − | 0.0491328i | 0.00360936 | − | 0.00239744i | ||||
\(421\) | 8.96757 | − | 2.91374i | 0.437053 | − | 0.142007i | −0.0822228 | − | 0.996614i | \(-0.526202\pi\) |
0.519275 | + | 0.854607i | \(0.326202\pi\) | |||||||
\(422\) | −9.69638 | − | 20.0610i | −0.472012 | − | 0.976552i | ||||
\(423\) | −20.8732 | + | 28.7295i | −1.01489 | + | 1.39688i | ||||
\(424\) | 1.36327 | + | 14.4492i | 0.0662063 | + | 0.701717i | ||||
\(425\) | −3.97899 | − | 1.29285i | −0.193009 | − | 0.0627125i | ||||
\(426\) | 0.396294 | + | 0.212521i | 0.0192005 | + | 0.0102967i | ||||
\(427\) | 3.41438 | − | 2.48069i | 0.165234 | − | 0.120049i | ||||
\(428\) | −7.82261 | − | 0.328791i | −0.378120 | − | 0.0158927i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.99262 | − | 3.12105i | −0.144317 | − | 0.150510i | ||||
\(431\) | −22.0495 | + | 16.0199i | −1.06209 | + | 0.771651i | −0.974473 | − | 0.224504i | \(-0.927924\pi\) |
−0.0876127 | + | 0.996155i | \(0.527924\pi\) | |||||||
\(432\) | −0.168080 | − | 0.717376i | −0.00808676 | − | 0.0345148i | ||||
\(433\) | −9.05430 | + | 27.8663i | −0.435122 | + | 1.33917i | 0.457840 | + | 0.889035i | \(0.348623\pi\) |
−0.892962 | + | 0.450133i | \(0.851377\pi\) | |||||||
\(434\) | −7.87414 | + | 1.07815i | −0.377971 | + | 0.0517528i | ||||
\(435\) | −0.0824793 | + | 0.113523i | −0.00395458 | + | 0.00544301i | ||||
\(436\) | 20.4752 | + | 7.61743i | 0.980586 | + | 0.364809i | ||||
\(437\) | 1.21466 | + | 3.73833i | 0.0581049 | + | 0.178828i | ||||
\(438\) | 0.0831474 | − | 0.461957i | 0.00397293 | − | 0.0220732i | ||||
\(439\) | −22.4492 | −1.07144 | −0.535721 | − | 0.844395i | \(-0.679960\pi\) | ||||
−0.535721 | + | 0.844395i | \(0.679960\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 19.2141 | 0.914957 | ||||||||
\(442\) | 3.51975 | − | 19.5553i | 0.167418 | − | 0.930152i | ||||
\(443\) | −1.47599 | − | 4.54262i | −0.0701263 | − | 0.215826i | 0.909851 | − | 0.414935i | \(-0.136196\pi\) |
−0.979978 | + | 0.199108i | \(0.936196\pi\) | |||||||
\(444\) | 0.178911 | − | 0.480904i | 0.00849075 | − | 0.0228227i | ||||
\(445\) | −1.03423 | + | 1.42349i | −0.0490271 | + | 0.0674800i | ||||
\(446\) | 5.94514 | − | 0.814025i | 0.281511 | − | 0.0385452i | ||||
\(447\) | −0.0954882 | + | 0.293882i | −0.00451644 | + | 0.0139002i | ||||
\(448\) | −6.05327 | + | 1.15250i | −0.285990 | + | 0.0544505i | ||||
\(449\) | 9.82613 | − | 7.13910i | 0.463724 | − | 0.336915i | −0.331266 | − | 0.943537i | \(-0.607476\pi\) |
0.794990 | + | 0.606622i | \(0.207476\pi\) | |||||||
\(450\) | −4.33134 | − | 4.51722i | −0.204182 | − | 0.212944i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 1.29284 | − | 30.7594i | 0.0608103 | − | 1.44680i | ||||
\(453\) | −0.297012 | + | 0.215792i | −0.0139549 | + | 0.0101388i | ||||
\(454\) | −17.4599 | − | 9.36323i | −0.819433 | − | 0.439438i | ||||
\(455\) | 6.81467 | + | 2.21422i | 0.319477 | + | 0.103804i | ||||
\(456\) | −0.00764369 | − | 0.0810151i | −0.000357949 | − | 0.00379388i | ||||
\(457\) | 0.0873034 | − | 0.120163i | 0.00408388 | − | 0.00562098i | −0.806970 | − | 0.590592i | \(-0.798894\pi\) |
0.811054 | + | 0.584971i | \(0.198894\pi\) | |||||||
\(458\) | −14.2534 | − | 29.4890i | −0.666018 | − | 1.37793i | ||||
\(459\) | 0.496719 | − | 0.161394i | 0.0231848 | − | 0.00753321i | ||||
\(460\) | −8.71496 | − | 13.1204i | −0.406337 | − | 0.611743i | ||||
\(461\) | −37.7602 | −1.75867 | −0.879334 | − | 0.476205i | \(-0.842012\pi\) | ||||
−0.879334 | + | 0.476205i | \(0.842012\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 10.1152i | − | 0.470095i | −0.971984 | − | 0.235048i | \(-0.924475\pi\) | ||
0.971984 | − | 0.235048i | \(-0.0755246\pi\) | |||||||
\(464\) | 8.33001 | − | 5.04214i | 0.386711 | − | 0.234076i | ||||
\(465\) | 0.129965 | + | 0.399991i | 0.00602697 | + | 0.0185491i | ||||
\(466\) | 8.56978 | + | 17.7301i | 0.396987 | + | 0.821331i | ||||
\(467\) | 12.2665 | + | 8.91216i | 0.567627 | + | 0.412406i | 0.834243 | − | 0.551398i | \(-0.185905\pi\) |
−0.266615 | + | 0.963803i | \(0.585905\pi\) | |||||||
\(468\) | 18.4644 | − | 23.2906i | 0.853517 | − | 1.07661i | ||||
\(469\) | −1.71209 | + | 5.26928i | −0.0790571 | + | 0.243313i | ||||
\(470\) | 14.8574 | − | 27.7050i | 0.685320 | − | 1.27794i | ||||
\(471\) | 0.125819 | + | 0.173175i | 0.00579742 | + | 0.00797946i | ||||
\(472\) | 20.3027 | − | 17.8929i | 0.934509 | − | 0.823586i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0.484466 | + | 0.505257i | 0.0222523 | + | 0.0232072i | ||||
\(475\) | −0.812660 | − | 1.11853i | −0.0372874 | − | 0.0513217i | ||||
\(476\) | −1.17412 | − | 4.20716i | −0.0538159 | − | 0.192835i | ||||
\(477\) | −14.6358 | − | 4.75545i | −0.670126 | − | 0.217737i | ||||
\(478\) | −1.51675 | − | 11.0774i | −0.0693743 | − | 0.506668i | ||||
\(479\) | −28.3054 | − | 20.5651i | −1.29331 | − | 0.939641i | −0.293439 | − | 0.955978i | \(-0.594800\pi\) |
−0.999867 | + | 0.0163367i | \(0.994800\pi\) | |||||||
\(480\) | 0.116768 | + | 0.304460i | 0.00532971 | + | 0.0138966i | ||||
\(481\) | 39.3764 | − | 12.7942i | 1.79541 | − | 0.583363i | ||||
\(482\) | 0.00640373 | − | 0.0355784i | 0.000291682 | − | 0.00162055i | ||||
\(483\) | − | 0.0992145i | − | 0.00451442i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 7.98733i | 0.362686i | ||||||||
\(486\) | 1.15341 | + | 0.207601i | 0.0523196 | + | 0.00941697i | ||||
\(487\) | 16.8599 | − | 5.47812i | 0.763995 | − | 0.248237i | 0.0990028 | − | 0.995087i | \(-0.468435\pi\) |
0.664993 | + | 0.746850i | \(0.268435\pi\) | |||||||
\(488\) | 6.15236 | + | 14.2242i | 0.278504 | + | 0.643898i | ||||
\(489\) | 0.472014 | + | 0.342938i | 0.0213452 | + | 0.0155082i | ||||
\(490\) | −16.8524 | + | 2.30748i | −0.761315 | + | 0.104241i | ||||
\(491\) | 11.7135 | + | 3.80596i | 0.528624 | + | 0.171760i | 0.561156 | − | 0.827710i | \(-0.310357\pi\) |
−0.0325316 | + | 0.999471i | \(0.510357\pi\) | |||||||
\(492\) | −0.0733963 | − | 0.262996i | −0.00330896 | − | 0.0118568i | ||||
\(493\) | 4.05698 | + | 5.58396i | 0.182717 | + | 0.251489i | ||||
\(494\) | 4.73947 | − | 4.54445i | 0.213239 | − | 0.204465i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.44895 | − | 29.0814i | 0.109961 | − | 1.30579i | ||||
\(497\) | 4.68849 | + | 6.45316i | 0.210308 | + | 0.289464i | ||||
\(498\) | 0.490904 | + | 0.263258i | 0.0219980 | + | 0.0117969i | ||||
\(499\) | 9.67557 | − | 29.7783i | 0.433138 | − | 1.33306i | −0.461845 | − | 0.886961i | \(-0.652812\pi\) |
0.894983 | − | 0.446100i | \(-0.147188\pi\) | |||||||
\(500\) | 19.0528 | + | 15.1047i | 0.852065 | + | 0.675503i | ||||
\(501\) | 0.467330 | + | 0.339535i | 0.0208788 | + | 0.0151693i | ||||
\(502\) | −13.2907 | + | 6.42399i | −0.593192 | + | 0.286717i | ||||
\(503\) | 2.26680 | + | 6.97651i | 0.101072 | + | 0.311067i | 0.988788 | − | 0.149323i | \(-0.0477095\pi\) |
−0.887717 | + | 0.460390i | \(0.847709\pi\) | |||||||
\(504\) | 1.42642 | − | 6.37614i | 0.0635379 | − | 0.284016i | ||||
\(505\) | − | 21.4094i | − | 0.952706i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.354764 | −0.0157556 | ||||||||
\(508\) | 15.7682 | + | 23.7391i | 0.699600 | + | 1.05325i | ||||
\(509\) | −12.2214 | + | 3.97096i | −0.541702 | + | 0.176010i | −0.567072 | − | 0.823668i | \(-0.691924\pi\) |
0.0253693 | + | 0.999678i | \(0.491924\pi\) | |||||||
\(510\) | −0.208109 | + | 0.100589i | −0.00921522 | + | 0.00445414i | ||||
\(511\) | 4.89387 | − | 6.73583i | 0.216492 | − | 0.297976i | ||||
\(512\) | 0.722772 | − | 22.6159i | 0.0319423 | − | 0.999490i | ||||
\(513\) | 0.164148 | + | 0.0533348i | 0.00724729 | + | 0.00235479i | ||||
\(514\) | −9.19922 | + | 17.1540i | −0.405760 | + | 0.756632i | ||||
\(515\) | −10.4010 | + | 7.55675i | −0.458322 | + | 0.332990i | ||||
\(516\) | 0.0999258 | + | 0.00419996i | 0.00439899 | + | 0.000184893i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 6.56951 | − | 6.29919i | 0.288648 | − | 0.276771i | ||||
\(519\) | 0.441759 | − | 0.320957i | 0.0193911 | − | 0.0140884i | ||||
\(520\) | −13.3978 | + | 22.6453i | −0.587534 | + | 0.993064i | ||||
\(521\) | −1.15181 | + | 3.54491i | −0.0504618 | + | 0.155305i | −0.973112 | − | 0.230333i | \(-0.926019\pi\) |
0.922650 | + | 0.385638i | \(0.126019\pi\) | |||||||
\(522\) | 1.40060 | + | 10.2291i | 0.0613026 | + | 0.447717i | ||||
\(523\) | 10.9086 | − | 15.0145i | 0.477002 | − | 0.656537i | −0.500923 | − | 0.865492i | \(-0.667006\pi\) |
0.977925 | + | 0.208955i | \(0.0670062\pi\) | |||||||
\(524\) | −1.66107 | + | 4.46486i | −0.0725641 | + | 0.195048i | ||||
\(525\) | 0.0107839 | + | 0.0331895i | 0.000470649 | + | 0.00144851i | ||||
\(526\) | 8.23515 | + | 1.48224i | 0.359069 | + | 0.0646287i | ||||
\(527\) | 20.6872 | 0.901148 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.40178 | 0.234860 | ||||||||
\(530\) | 13.4079 | + | 2.41329i | 0.582404 | + | 0.104826i | ||||
\(531\) | 8.86713 | + | 27.2902i | 0.384801 | + | 1.18429i | ||||
\(532\) | 0.503303 | − | 1.35285i | 0.0218209 | − | 0.0586535i | ||||
\(533\) | 12.9502 | − | 17.8244i | 0.560935 | − | 0.772061i | ||||
\(534\) | −0.00552100 | − | 0.0403220i | −0.000238917 | − | 0.00174490i | ||||
\(535\) | −2.27108 | + | 6.98967i | −0.0981875 | + | 0.302190i | ||||
\(536\) | −17.5100 | − | 10.3595i | −0.756315 | − | 0.447464i | ||||
\(537\) | 0.422478 | − | 0.306949i | 0.0182313 | − | 0.0132458i | ||||
\(538\) | 10.1630 | − | 9.74480i | 0.438157 | − | 0.420128i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.691010 | − | 0.0290437i | −0.0297363 | − | 0.00124984i | ||||
\(541\) | 6.18903 | − | 4.49660i | 0.266087 | − | 0.193324i | −0.446739 | − | 0.894664i | \(-0.647415\pi\) |
0.712826 | + | 0.701341i | \(0.247415\pi\) | |||||||
\(542\) | −3.03480 | + | 5.65908i | −0.130356 | + | 0.243078i | ||||
\(543\) | 0.219407 | + | 0.0712895i | 0.00941564 | + | 0.00305933i | ||||
\(544\) | 16.0176 | − | 0.834704i | 0.686751 | − | 0.0357876i | ||||
\(545\) | 12.0535 | − | 16.5902i | 0.516314 | − | 0.710645i | ||||
\(546\) | −0.149219 | + | 0.0721246i | −0.00638600 | + | 0.00308665i | ||||
\(547\) | 4.38862 | − | 1.42595i | 0.187644 | − | 0.0609692i | −0.213688 | − | 0.976902i | \(-0.568547\pi\) |
0.401332 | + | 0.915933i | \(0.368547\pi\) | |||||||
\(548\) | −8.52553 | − | 12.8352i | −0.364193 | − | 0.548295i | ||||
\(549\) | −16.4326 | −0.701327 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.28091i | 0.0971702i | ||||||||
\(552\) | 0.355536 | + | 0.0795379i | 0.0151326 | + | 0.00338536i | ||||
\(553\) | 3.83694 | + | 11.8089i | 0.163163 | + | 0.502165i | ||||
\(554\) | 14.5096 | − | 7.01317i | 0.616455 | − | 0.297961i | ||||
\(555\) | −0.389655 | − | 0.283101i | −0.0165399 | − | 0.0120170i | ||||
\(556\) | 17.0279 | + | 13.4994i | 0.722143 | + | 0.572502i | ||||
\(557\) | −12.0942 | + | 37.2221i | −0.512447 | + | 1.57715i | 0.275433 | + | 0.961320i | \(0.411179\pi\) |
−0.787880 | + | 0.615829i | \(0.788821\pi\) | |||||||
\(558\) | 27.2710 | + | 14.6246i | 1.15447 | + | 0.619110i | ||||
\(559\) | 4.74353 | + | 6.52891i | 0.200630 | + | 0.276144i | ||||
\(560\) | −0.485366 | + | 5.76373i | −0.0205104 | + | 0.243562i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.13040 | − | 8.75471i | 0.385143 | − | 0.369295i | ||||
\(563\) | 13.6543 | + | 18.7935i | 0.575458 | + | 0.792051i | 0.993188 | − | 0.116521i | \(-0.0371742\pi\) |
−0.417730 | + | 0.908571i | \(0.637174\pi\) | |||||||
\(564\) | 0.195462 | + | 0.700387i | 0.00823045 | + | 0.0294916i | ||||
\(565\) | −27.4842 | − | 8.93017i | −1.15627 | − | 0.375695i | ||||
\(566\) | 17.1217 | − | 2.34435i | 0.719677 | − | 0.0985402i | ||||
\(567\) | 5.60303 | + | 4.07084i | 0.235305 | + | 0.170959i | ||||
\(568\) | −26.8836 | + | 11.6279i | −1.12801 | + | 0.487896i | ||||
\(569\) | −18.0299 | + | 5.85828i | −0.755854 | + | 0.245592i | −0.661498 | − | 0.749947i | \(-0.730079\pi\) |
−0.0943559 | + | 0.995539i | \(0.530079\pi\) | |||||||
\(570\) | −0.0751766 | − | 0.0135310i | −0.00314880 | − | 0.000566751i | ||||
\(571\) | − | 30.2433i | − | 1.26564i | −0.774299 | − | 0.632820i | \(-0.781897\pi\) | ||
0.774299 | − | 0.632820i | \(-0.218103\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.165436i | 0.00691117i | ||||||||
\(574\) | 0.857962 | − | 4.76673i | 0.0358106 | − | 0.198960i | ||||
\(575\) | 5.88700 | − | 1.91280i | 0.245505 | − | 0.0797694i | ||||
\(576\) | 21.7054 | + | 10.2232i | 0.904392 | + | 0.425966i | ||||
\(577\) | −19.4351 | − | 14.1204i | −0.809095 | − | 0.587842i | 0.104473 | − | 0.994528i | \(-0.466684\pi\) |
−0.913568 | + | 0.406686i | \(0.866684\pi\) | |||||||
\(578\) | −1.71907 | − | 12.5550i | −0.0715038 | − | 0.522220i | ||||
\(579\) | 0.483115 | + | 0.156974i | 0.0200776 | + | 0.00652360i | ||||
\(580\) | −2.45690 | − | 8.80363i | −0.102017 | − | 0.365551i | ||||
\(581\) | 5.80781 | + | 7.99377i | 0.240949 | + | 0.331637i | ||||
\(582\) | −0.127864 | − | 0.133351i | −0.00530014 | − | 0.00552759i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 20.2146 | + | 22.9372i | 0.836486 | + | 0.949146i | ||||
\(585\) | −16.3987 | − | 22.5709i | −0.678004 | − | 0.933192i | ||||
\(586\) | 9.74090 | − | 18.1641i | 0.402393 | − | 0.750353i | ||||
\(587\) | 0.692370 | − | 2.13090i | 0.0285772 | − | 0.0879515i | −0.935751 | − | 0.352662i | \(-0.885276\pi\) |
0.964328 | + | 0.264711i | \(0.0852765\pi\) | |||||||
\(588\) | 0.244418 | − | 0.308304i | 0.0100796 | − | 0.0127143i | ||||
\(589\) | 5.53074 | + | 4.01832i | 0.227890 | + | 0.165572i | ||||
\(590\) | −11.0546 | − | 22.8710i | −0.455111 | − | 0.941584i | ||||
\(591\) | −0.0750196 | − | 0.230887i | −0.00308590 | − | 0.00949741i | ||||
\(592\) | 17.3066 | + | 28.5918i | 0.711296 | + | 1.17512i | ||||
\(593\) | 29.4134i | 1.20786i | 0.797036 | + | 0.603932i | \(0.206400\pi\) | ||||
−0.797036 | + | 0.603932i | \(0.793600\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.10006 | −0.168086 | ||||||||
\(596\) | −11.1364 | − | 16.7659i | −0.456164 | − | 0.686758i | ||||
\(597\) | 0.313173 | − | 0.101756i | 0.0128173 | − | 0.00416459i | ||||
\(598\) | 12.7931 | + | 26.4679i | 0.523150 | + | 1.08235i | ||||
\(599\) | −0.506296 | + | 0.696857i | −0.0206867 | + | 0.0284728i | −0.819235 | − | 0.573458i | \(-0.805602\pi\) |
0.798548 | + | 0.601931i | \(0.205602\pi\) | |||||||
\(600\) | −0.127580 | + | 0.0120371i | −0.00520844 | + | 0.000491411i | ||||
\(601\) | 41.9024 | + | 13.6149i | 1.70924 | + | 0.555365i | 0.990206 | − | 0.139614i | \(-0.0445861\pi\) |
0.719031 | + | 0.694979i | \(0.244586\pi\) | |||||||
\(602\) | 1.56344 | + | 0.838428i | 0.0637211 | + | 0.0341718i | ||||
\(603\) | 17.4524 | − | 12.6799i | 0.710716 | − | 0.516366i | ||||
\(604\) | 1.00421 | − | 23.8921i | 0.0408606 | − | 0.972157i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.342730 | + | 0.357438i | 0.0139224 | + | 0.0145199i | ||||
\(607\) | 12.8286 | − | 9.32051i | 0.520696 | − | 0.378308i | −0.296170 | − | 0.955135i | \(-0.595709\pi\) |
0.816866 | + | 0.576827i | \(0.195709\pi\) | |||||||
\(608\) | 4.44447 | + | 2.88814i | 0.180247 | + | 0.117129i | ||||
\(609\) | 0.0177908 | − | 0.0547544i | 0.000720919 | − | 0.00221876i | ||||
\(610\) | 14.4128 | − | 1.97345i | 0.583559 | − | 0.0799025i | ||||
\(611\) | −34.4877 | + | 47.4683i | −1.39522 | + | 1.92036i | ||||
\(612\) | −5.93004 | + | 15.9396i | −0.239708 | + | 0.644322i | ||||
\(613\) | −4.66834 | − | 14.3677i | −0.188552 | − | 0.580304i | 0.811439 | − | 0.584437i | \(-0.198685\pi\) |
−0.999991 | + | 0.00413254i | \(0.998685\pi\) | |||||||
\(614\) | 7.53987 | − | 41.8906i | 0.304284 | − | 1.69057i | ||||
\(615\) | −0.256302 | −0.0103351 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 9.77949 | 0.393707 | 0.196854 | − | 0.980433i | \(-0.436928\pi\) | ||||
0.196854 | + | 0.980433i | \(0.436928\pi\) | |||||||
\(618\) | 0.0526766 | − | 0.292665i | 0.00211896 | − | 0.0117727i | ||||
\(619\) | −13.6219 | − | 41.9238i | −0.547509 | − | 1.68506i | −0.714950 | − | 0.699176i | \(-0.753550\pi\) |
0.167441 | − | 0.985882i | \(-0.446450\pi\) | |||||||
\(620\) | −25.6753 | − | 9.55202i | −1.03115 | − | 0.383618i | ||||
\(621\) | −0.454197 | + | 0.625149i | −0.0182263 | + | 0.0250864i | ||||
\(622\) | −10.0042 | + | 1.36980i | −0.401132 | + | 0.0549241i | ||||
\(623\) | 0.223083 | − | 0.686579i | 0.00893763 | − | 0.0275072i | ||||
\(624\) | −0.138833 | − | 0.592550i | −0.00555779 | − | 0.0237210i | ||||
\(625\) | 12.4953 | − | 9.07835i | 0.499811 | − | 0.363134i | ||||
\(626\) | −14.2151 | − | 14.8251i | −0.568150 | − | 0.592531i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.9304 | − | 0.585507i | −0.555885 | − | 0.0233643i | ||||
\(629\) | −19.1663 | + | 13.9251i | −0.764211 | + | 0.555232i | ||||
\(630\) | −5.40492 | − | 2.89850i | −0.215337 | − | 0.115479i | ||||
\(631\) | 27.1291 | + | 8.81479i | 1.07999 | + | 0.350911i | 0.794372 | − | 0.607431i | \(-0.207800\pi\) |
0.285621 | + | 0.958343i | \(0.407800\pi\) | |||||||
\(632\) | −45.3933 | + | 4.28281i | −1.80565 | + | 0.170361i | ||||
\(633\) | 0.284351 | − | 0.391376i | 0.0113019 | − | 0.0155558i | ||||
\(634\) | −3.41232 | − | 7.05979i | −0.135521 | − | 0.280380i | ||||
\(635\) | 25.4418 | − | 8.26655i | 1.00963 | − | 0.328048i | ||||
\(636\) | −0.262483 | + | 0.174349i | −0.0104081 | + | 0.00691337i | ||||
\(637\) | 31.7465 | 1.25784 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 31.0575i | − | 1.22862i | ||||||
\(640\) | −20.2653 | − | 6.35995i | −0.801055 | − | 0.251399i | ||||
\(641\) | 10.1214 | + | 31.1504i | 0.399770 | + | 1.23037i | 0.925184 | + | 0.379519i | \(0.123910\pi\) |
−0.525414 | + | 0.850847i | \(0.676090\pi\) | |||||||
\(642\) | −0.0739768 | − | 0.153051i | −0.00291963 | − | 0.00604046i | ||||
\(643\) | 24.4262 | + | 17.7466i | 0.963274 | + | 0.699860i | 0.953909 | − | 0.300097i | \(-0.0970189\pi\) |
0.00936521 | + | 0.999956i | \(0.497019\pi\) | |||||||
\(644\) | 5.06410 | + | 4.01473i | 0.199553 | + | 0.158202i | ||||
\(645\) | 0.0290108 | − | 0.0892859i | 0.00114230 | − | 0.00351563i | ||||
\(646\) | −1.77566 | + | 3.31113i | −0.0698625 | + | 0.130275i | ||||
\(647\) | −8.18424 | − | 11.2646i | −0.321756 | − | 0.442859i | 0.617247 | − | 0.786770i | \(-0.288248\pi\) |
−0.939002 | + | 0.343911i | \(0.888248\pi\) | |||||||
\(648\) | −19.0797 | + | 16.8150i | −0.749521 | + | 0.660556i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −7.15647 | − | 7.46358i | −0.280700 | − | 0.292746i | ||||
\(651\) | −0.101426 | − | 0.139601i | −0.00397519 | − | 0.00547138i | ||||
\(652\) | −36.6043 | + | 10.2155i | −1.43354 | + | 0.400068i | ||||
\(653\) | 4.36956 | + | 1.41976i | 0.170994 | + | 0.0555593i | 0.393263 | − | 0.919426i | \(-0.371346\pi\) |
−0.222269 | + | 0.974985i | \(0.571346\pi\) | |||||||
\(654\) | 0.0643448 | + | 0.469935i | 0.00251608 | + | 0.0183759i | ||||
\(655\) | 3.61768 | + | 2.62840i | 0.141354 | + | 0.102700i | ||||
\(656\) | 16.3938 | + | 6.89589i | 0.640071 | + | 0.269239i | ||||
\(657\) | −30.8313 | + | 10.0177i | −1.20284 | + | 0.390828i | ||||
\(658\) | −2.28484 | + | 12.6943i | −0.0890724 | + | 0.494876i | ||||
\(659\) | 42.3534i | 1.64986i | 0.565238 | + | 0.824928i | \(0.308784\pi\) | ||||
−0.565238 | + | 0.824928i | \(0.691216\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 6.18480i | − | 0.240561i | −0.992740 | − | 0.120280i | \(-0.961621\pi\) | ||
0.992740 | − | 0.120280i | \(-0.0383794\pi\) | |||||||
\(662\) | 6.25868 | + | 1.12650i | 0.243251 | + | 0.0437825i | ||||
\(663\) | 0.410288 | − | 0.133311i | 0.0159342 | − | 0.00517735i | ||||
\(664\) | −33.3017 | + | 14.4039i | −1.29236 | + | 0.558981i | ||||
\(665\) | −1.09616 | − | 0.796404i | −0.0425071 | − | 0.0308832i | ||||
\(666\) | −35.1103 | + | 4.80740i | −1.36050 | + | 0.186283i | ||||
\(667\) | −9.71209 | − | 3.15565i | −0.376054 | − | 0.122187i | ||||
\(668\) | −36.2411 | + | 10.1141i | −1.40221 | + | 0.391326i | ||||
\(669\) | 0.0765787 | + | 0.105401i | 0.00296070 | + | 0.00407506i | ||||
\(670\) | −13.7845 | + | 13.2173i | −0.532541 | + | 0.510628i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.0841645 | − | 0.103997i | −0.00324672 | − | 0.00401179i | ||||
\(673\) | −1.18751 | − | 1.63447i | −0.0457753 | − | 0.0630043i | 0.785516 | − | 0.618842i | \(-0.212398\pi\) |
−0.831291 | + | 0.555837i | \(0.812398\pi\) | |||||||
\(674\) | 11.6098 | + | 6.22600i | 0.447193 | + | 0.239817i | ||||
\(675\) | 0.0839900 | − | 0.258495i | 0.00323278 | − | 0.00994947i | ||||
\(676\) | 14.3556 | − | 18.1078i | 0.552138 | − | 0.696455i | ||||
\(677\) | 17.2692 | + | 12.5468i | 0.663709 | + | 0.482213i | 0.867914 | − | 0.496715i | \(-0.165461\pi\) |
−0.204204 | + | 0.978928i | \(0.565461\pi\) | |||||||
\(678\) | 0.601816 | − | 0.290885i | 0.0231126 | − | 0.0111714i | ||||
\(679\) | −1.01268 | − | 3.11670i | −0.0388629 | − | 0.119608i | ||||
\(680\) | 3.28692 | − | 14.6926i | 0.126048 | − | 0.563436i | ||||
\(681\) | − | 0.430153i | − | 0.0164835i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.81788 | −0.299143 | −0.149571 | − | 0.988751i | \(-0.547789\pi\) | ||||
−0.149571 | + | 0.988751i | \(0.547789\pi\) | |||||||
\(684\) | −4.68155 | + | 3.10961i | −0.179003 | + | 0.118899i | ||||
\(685\) | −13.7559 | + | 4.46955i | −0.525585 | + | 0.170773i | ||||
\(686\) | 13.1486 | − | 6.35531i | 0.502014 | − | 0.242647i | ||||
\(687\) | 0.417988 | − | 0.575311i | 0.0159472 | − | 0.0219495i | ||||
\(688\) | −4.25789 | + | 4.93045i | −0.162330 | + | 0.187972i | ||||
\(689\) | −24.1820 | − | 7.85720i | −0.921259 | − | 0.299335i | ||||
\(690\) | 0.161622 | − | 0.301381i | 0.00615284 | − | 0.0114734i | ||||
\(691\) | 16.8390 | − | 12.2342i | 0.640585 | − | 0.465412i | −0.219466 | − | 0.975620i | \(-0.570431\pi\) |
0.860051 | + | 0.510208i | \(0.170431\pi\) | |||||||
\(692\) | −1.49360 | + | 35.5358i | −0.0567781 | + | 1.35087i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.1462 | + | 19.3173i | −0.764740 | + | 0.733273i | ||||
\(695\) | 16.5017 | − | 11.9892i | 0.625945 | − | 0.454776i | ||||
\(696\) | 0.181950 | + | 0.107649i | 0.00689682 | + | 0.00408042i | ||||
\(697\) | −3.89576 | + | 11.9899i | −0.147562 | + | 0.454150i | ||||
\(698\) | 4.11620 | + | 30.0622i | 0.155801 | + | 1.13787i | ||||
\(699\) | −0.251313 | + | 0.345903i | −0.00950553 | + | 0.0130832i | ||||
\(700\) | −2.13043 | − | 0.792586i | −0.0805227 | − | 0.0299569i | ||||
\(701\) | −5.96268 | − | 18.3512i | −0.225207 | − | 0.693117i | −0.998270 | − | 0.0587878i | \(-0.981276\pi\) |
0.773063 | − | 0.634329i | \(-0.218724\pi\) | |||||||
\(702\) | 1.27041 | + | 0.228661i | 0.0479486 | + | 0.00863023i | ||||
\(703\) | −7.82898 | −0.295275 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.682558 | 0.0257066 | ||||||||
\(706\) | 6.52732 | + | 1.17485i | 0.245659 | + | 0.0442160i | ||||
\(707\) | 2.71440 | + | 8.35406i | 0.102085 | + | 0.314187i | ||||
\(708\) | 0.550688 | + | 0.204873i | 0.0206961 | + | 0.00769960i | ||||
\(709\) | −18.5350 | + | 25.5112i | −0.696095 | + | 0.958093i | 0.303890 | + | 0.952707i | \(0.401714\pi\) |
−0.999985 | + | 0.00538573i | \(0.998286\pi\) | |||||||
\(710\) | 3.72980 | + | 27.2402i | 0.139977 | + | 1.02230i | ||||
\(711\) | 14.9396 | − | 45.9792i | 0.560277 | − | 1.72436i | ||||
\(712\) | 2.28152 | + | 1.34983i | 0.0855036 | + | 0.0505871i | ||||
\(713\) | −24.7617 | + | 17.9905i | −0.927334 | + | 0.673748i | ||||
\(714\) | 0.0684520 | − | 0.0656353i | 0.00256175 | − | 0.00245634i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.42841 | + | 33.9848i | −0.0533822 | + | 1.27007i | ||||
\(717\) | 0.196391 | − | 0.142686i | 0.00733436 | − | 0.00532872i | ||||
\(718\) | 22.4206 | − | 41.8084i | 0.836731 | − | 1.56027i | ||||
\(719\) | 16.6775 | + | 5.41883i | 0.621964 | + | 0.202088i | 0.603012 | − | 0.797732i | \(-0.293967\pi\) |
0.0189519 | + | 0.999820i | \(0.493967\pi\) | |||||||
\(720\) | 14.7198 | − | 17.0449i | 0.548575 | − | 0.635227i | ||||
\(721\) | 3.10043 | − | 4.26737i | 0.115466 | − | 0.158925i | ||||
\(722\) | 23.0744 | − | 11.1529i | 0.858741 | − | 0.415069i | ||||
\(723\) | 0.000746465 | 0 | 0.000242541i | 2.77613e−5 | 0 | 9.02020e-6i | ||||
\(724\) | −12.5171 | + | 8.31419i | −0.465193 | + | 0.308994i | ||||
\(725\) | 3.59191 | 0.133400 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.8148i | 0.809066i | 0.914523 | + | 0.404533i | \(0.132566\pi\) | ||||
−0.914523 | + | 0.404533i | \(0.867434\pi\) | |||||||
\(728\) | 2.35681 | − | 10.5350i | 0.0873491 | − | 0.390452i | ||||
\(729\) | −8.32773 | − | 25.6301i | −0.308434 | − | 0.949264i | ||||
\(730\) | 25.8387 | − | 12.4890i | 0.956333 | − | 0.462240i | ||||
\(731\) | −3.73588 | − | 2.71427i | −0.138176 | − | 0.100391i | ||||
\(732\) | −0.209036 | + | 0.263673i | −0.00772618 | + | 0.00974565i | ||||
\(733\) | 0.721487 | − | 2.22051i | 0.0266487 | − | 0.0820164i | −0.936848 | − | 0.349738i | \(-0.886271\pi\) |
0.963496 | + | 0.267721i | \(0.0862707\pi\) | |||||||
\(734\) | −0.626599 | − | 0.336027i | −0.0231282 | − | 0.0124030i | ||||
\(735\) | −0.217074 | − | 0.298777i | −0.00800690 | − | 0.0110206i | ||||
\(736\) | −18.4466 | + | 14.9287i | −0.679950 | + | 0.550280i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −13.6118 | + | 13.0517i | −0.501056 | + | 0.480438i | ||||
\(739\) | −14.4466 | − | 19.8840i | −0.531426 | − | 0.731445i | 0.455921 | − | 0.890020i | \(-0.349310\pi\) |
−0.987347 | + | 0.158575i | \(0.949310\pi\) | |||||||
\(740\) | 30.2175 | − | 8.43302i | 1.11082 | − | 0.310004i | ||||
\(741\) | 0.135585 | + | 0.0440543i | 0.00498085 | + | 0.00161838i | ||||
\(742\) | −5.53781 | + | 0.758253i | −0.203300 | + | 0.0278363i | ||||
\(743\) | −20.8904 | − | 15.1778i | −0.766395 | − | 0.556818i | 0.134470 | − | 0.990918i | \(-0.457067\pi\) |
−0.900865 | + | 0.434099i | \(0.857067\pi\) | |||||||
\(744\) | 0.581571 | − | 0.251546i | 0.0213214 | − | 0.00922211i | ||||
\(745\) | −17.9685 | + | 5.83830i | −0.658313 | + | 0.213899i | ||||
\(746\) | 9.66480 | + | 1.73956i | 0.353853 | + | 0.0636899i | ||||
\(747\) | − | 38.4721i | − | 1.40762i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 3.01535i | − | 0.110178i | ||||||
\(750\) | −0.0935125 | + | 0.519545i | −0.00341459 | + | 0.0189711i | ||||
\(751\) | 43.7639 | − | 14.2197i | 1.59697 | − | 0.518886i | 0.630611 | − | 0.776099i | \(-0.282804\pi\) |
0.966355 | + | 0.257213i | \(0.0828042\pi\) | |||||||
\(752\) | −43.6585 | − | 18.3645i | −1.59206 | − | 0.669684i | ||||
\(753\) | −0.259292 | − | 0.188387i | −0.00944914 | − | 0.00686520i | ||||
\(754\) | 2.31414 | + | 16.9011i | 0.0842761 | + | 0.615501i | ||||
\(755\) | −21.3482 | − | 6.93644i | −0.776939 | − | 0.252443i | ||||
\(756\) | 0.273318 | − | 0.0762769i | 0.00994047 | − | 0.00277416i | ||||
\(757\) | −18.1730 | − | 25.0130i | −0.660510 | − | 0.909113i | 0.338989 | − | 0.940790i | \(-0.389915\pi\) |
−0.999498 | + | 0.0316771i | \(0.989915\pi\) | |||||||
\(758\) | 16.4933 | + | 17.2011i | 0.599063 | + | 0.624771i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.73268 | − | 3.28962i | 0.135399 | − | 0.119327i | ||||
\(761\) | 11.4902 | + | 15.8149i | 0.416520 | + | 0.573290i | 0.964793 | − | 0.263009i | \(-0.0847148\pi\) |
−0.548274 | + | 0.836299i | \(0.684715\pi\) | |||||||
\(762\) | −0.292426 | + | 0.545295i | −0.0105935 | + | 0.0197540i | ||||
\(763\) | −2.59993 | + | 8.00178i | −0.0941240 | + | 0.289684i | ||||
\(764\) | −8.44414 | − | 6.69437i | −0.305498 | − | 0.242194i | ||||
\(765\) | 12.9152 | + | 9.38343i | 0.466950 | + | 0.339259i | ||||
\(766\) | −7.51604 | − | 15.5500i | −0.271566 | − | 0.561845i | ||||
\(767\) | 14.6507 | + | 45.0903i | 0.529007 | + | 1.62812i | ||||
\(768\) | 0.440148 | − | 0.218232i | 0.0158825 | − | 0.00787477i | ||||
\(769\) | 13.9209i | 0.502000i | 0.967987 | + | 0.251000i | \(0.0807595\pi\) | ||||
−0.967987 | + | 0.251000i | \(0.919241\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.422618 | −0.0152202 | ||||||||
\(772\) | −27.5615 | + | 18.3071i | −0.991961 | + | 0.658889i | ||||
\(773\) | −38.0794 | + | 12.3727i | −1.36962 | + | 0.445017i | −0.899243 | − | 0.437449i | \(-0.855882\pi\) |
−0.470377 | + | 0.882465i | \(0.655882\pi\) | |||||||
\(774\) | −3.00600 | − | 6.21915i | −0.108048 | − | 0.223543i | ||||
\(775\) | 6.32793 | − | 8.70964i | 0.227306 | − | 0.312860i | ||||
\(776\) | 11.9805 | − | 1.13035i | 0.430077 | − | 0.0405773i | ||||
\(777\) | 0.187938 | + | 0.0610649i | 0.00674226 | + | 0.00219069i | ||||
\(778\) | −10.6839 | − | 5.72946i | −0.383035 | − | 0.205411i | ||||
\(779\) | −3.37048 | + | 2.44879i | −0.120760 | + | 0.0877371i | ||||
\(780\) | −0.570771 | − | 0.0239900i | −0.0204369 | − | 0.000858978i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −11.6421 | − | 12.1417i | −0.416320 | − | 0.434186i | ||||
\(783\) | −0.362762 | + | 0.263562i | −0.0129640 | + | 0.00941893i | ||||
\(784\) | 5.84602 | + | 24.9511i | 0.208786 | + | 0.891112i | ||||
\(785\) | −4.04432 | + | 12.4471i | −0.144348 | + | 0.444258i | ||||
\(786\) | −0.102475 | + | 0.0140311i | −0.00365516 | + | 0.000500474i | ||||
\(787\) | −12.6285 | + | 17.3816i | −0.450157 | + | 0.619588i | −0.972431 | − | 0.233190i | \(-0.925084\pi\) |
0.522274 | + | 0.852778i | \(0.325084\pi\) | |||||||
\(788\) | 14.8206 | + | 5.51372i | 0.527961 | + | 0.196418i | ||||
\(789\) | 0.0561398 | + | 0.172780i | 0.00199863 | + | 0.00615115i | ||||
\(790\) | −7.58150 | + | 42.1219i | −0.269738 | + | 1.49863i | ||||
\(791\) | 11.8567 | 0.421576 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −27.1508 | −0.964154 | ||||||||
\(794\) | −2.97531 | + | 16.5305i | −0.105590 | + | 0.586645i | ||||
\(795\) | 0.0914031 | + | 0.281310i | 0.00324174 | + | 0.00997704i | ||||
\(796\) | −7.47876 | + | 20.1025i | −0.265077 | + | 0.712514i | ||||
\(797\) | 24.5141 | − | 33.7408i | 0.868334 | − | 1.19516i | −0.111184 | − | 0.993800i | \(-0.535464\pi\) |
0.979518 | − | 0.201359i | \(-0.0645358\pi\) | |||||||
\(798\) | 0.0310498 | − | 0.00425143i | 0.00109915 | − | 0.000150499i | ||||
\(799\) | 10.3748 | − | 31.9304i | 0.367034 | − | 1.12962i | ||||
\(800\) | 4.54815 | − | 6.99901i | 0.160801 | − | 0.247452i | ||||
\(801\) | −2.27402 | + | 1.65217i | −0.0803485 | + | 0.0583766i | ||||
\(802\) | 2.53717 | + | 2.64605i | 0.0895907 | + | 0.0934354i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.0185496 | − | 0.441335i | 0.000654196 | − | 0.0155647i | ||||
\(805\) | 4.90761 | − | 3.56559i | 0.172970 | − | 0.125670i | ||||
\(806\) | 45.0585 | + | 24.1636i | 1.58712 | + | 0.851126i | ||||
\(807\) | 0.290739 | + | 0.0944669i | 0.0102345 | + | 0.00332539i | ||||
\(808\) | −32.1129 | + | 3.02982i | −1.12973 | + | 0.106589i | ||||
\(809\) | 7.10641 | − | 9.78113i | 0.249848 | − | 0.343886i | −0.665610 | − | 0.746300i | \(-0.731829\pi\) |
0.915458 | + | 0.402414i | \(0.131829\pi\) | |||||||
\(810\) | 10.3887 | + | 21.4933i | 0.365021 | + | 0.755196i | ||||
\(811\) | 9.31094 | − | 3.02531i | 0.326951 | − | 0.106233i | −0.140942 | − | 0.990018i | \(-0.545013\pi\) |
0.467893 | + | 0.883785i | \(0.345013\pi\) | |||||||
\(812\) | 2.07486 | + | 3.12372i | 0.0728135 | + | 0.109621i | ||||
\(813\) | −0.139421 | −0.00488971 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 35.6726i | 1.24956i | ||||||||
\(816\) | 0.180328 | + | 0.297916i | 0.00631276 | + | 0.0104292i | ||||
\(817\) | −0.471565 | − | 1.45133i | −0.0164980 | − | 0.0507755i | ||||
\(818\) | −18.3341 | − | 37.9316i | −0.641037 | − | 1.32625i | ||||
\(819\) | 9.26052 | + | 6.72816i | 0.323589 | + | 0.235101i | ||||
\(820\) | 10.3713 | − | 13.0821i | 0.362181 | − | 0.456847i | ||||
\(821\) | −1.60107 | + | 4.92760i | −0.0558779 | + | 0.171974i | −0.975100 | − | 0.221764i | \(-0.928818\pi\) |
0.919222 | + | 0.393739i | \(0.128818\pi\) | |||||||
\(822\) | 0.158109 | − | 0.294830i | 0.00551468 | − | 0.0102834i | ||||
\(823\) | 5.60012 | + | 7.70791i | 0.195208 | + | 0.268681i | 0.895389 | − | 0.445284i | \(-0.146897\pi\) |
−0.700181 | + | 0.713965i | \(0.746897\pi\) | |||||||
\(824\) | 12.8066 | + | 14.5315i | 0.446140 | + | 0.506227i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.21327 | + | 7.52282i | 0.250982 | + | 0.261752i | ||||
\(827\) | −17.4847 | − | 24.0656i | −0.608002 | − | 0.836843i | 0.388409 | − | 0.921487i | \(-0.373025\pi\) |
−0.996411 | + | 0.0846440i | \(0.973025\pi\) | |||||||
\(828\) | −6.76376 | − | 24.2361i | −0.235057 | − | 0.842263i | ||||
\(829\) | −36.4454 | − | 11.8418i | −1.26580 | − | 0.411284i | −0.402243 | − | 0.915533i | \(-0.631769\pi\) |
−0.863558 | + | 0.504249i | \(0.831769\pi\) | |||||||
\(830\) | 4.62024 | + | 33.7434i | 0.160371 | + | 1.17125i | ||||
\(831\) | 0.283073 | + | 0.205665i | 0.00981971 | + | 0.00713444i | ||||
\(832\) | 35.8628 | + | 16.8913i | 1.24332 | + | 0.585600i | ||||
\(833\) | −17.2764 | + | 5.61345i | −0.598593 | + | 0.194495i | ||||
\(834\) | −0.0835742 | + | 0.464329i | −0.00289394 | + | 0.0160784i | ||||
\(835\) | 35.3186i | 1.22225i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.34394i | 0.0464534i | ||||||||
\(838\) | −41.0891 | − | 7.39560i | −1.41940 | − | 0.255477i | ||||
\(839\) | −29.4294 | + | 9.56218i | −1.01601 | + | 0.330123i | −0.769247 | − | 0.638951i | \(-0.779368\pi\) |
−0.246768 | + | 0.969075i | \(0.579368\pi\) | |||||||
\(840\) | −0.115263 | + | 0.0498547i | −0.00397697 | + | 0.00172015i | ||||
\(841\) | 18.6674 | + | 13.5627i | 0.643705 | + | 0.467679i | ||||
\(842\) | −13.2114 | + | 1.80895i | −0.455296 | + | 0.0623404i | ||||
\(843\) | 0.261199 | + | 0.0848689i | 0.00899619 | + | 0.00292304i | ||||
\(844\) | 8.47026 | + | 30.3509i | 0.291558 | + | 1.04472i | ||||
\(845\) | −12.7496 | − | 17.5483i | −0.438598 | − | 0.603679i | ||||
\(846\) | 36.2496 | − | 34.7580i | 1.24629 | − | 1.19500i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.72233 | − | 20.4527i | 0.0591449 | − | 0.702347i | ||||
\(849\) | 0.220542 | + | 0.303550i | 0.00756899 | + | 0.0104178i | ||||
\(850\) | 5.21426 | + | 2.79626i | 0.178848 | + | 0.0959109i | ||||
\(851\) | 10.8314 | − | 33.3357i | 0.371296 | − | 1.14273i | ||||
\(852\) | −0.498341 | − | 0.395076i | −0.0170729 | − | 0.0135351i | ||||
\(853\) | −13.2939 | − | 9.65856i | −0.455173 | − | 0.330703i | 0.336462 | − | 0.941697i | \(-0.390770\pi\) |
−0.791635 | + | 0.610995i | \(0.790770\pi\) | |||||||
\(854\) | −5.37376 | + | 2.59738i | −0.183886 | + | 0.0888807i | ||||
\(855\) | 1.63023 | + | 5.01734i | 0.0557528 | + | 0.171589i | ||||
\(856\) | 10.8055 | + | 2.41733i | 0.369325 | + | 0.0826226i | ||||
\(857\) | 38.4831i | 1.31456i | 0.753647 | + | 0.657279i | \(0.228293\pi\) | ||||
−0.753647 | + | 0.657279i | \(0.771707\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −40.8927 | −1.39524 | −0.697621 | − | 0.716467i | \(-0.745758\pi\) | ||||
−0.697621 | + | 0.716467i | \(0.745758\pi\) | |||||||
\(860\) | 3.38340 | + | 5.09373i | 0.115373 | + | 0.173695i | ||||
\(861\) | 0.100010 | − | 0.0324953i | 0.00340834 | − | 0.00110744i | ||||
\(862\) | 34.7028 | − | 16.7735i | 1.18198 | − | 0.571306i | ||||
\(863\) | −4.35499 | + | 5.99413i | −0.148245 | + | 0.204042i | −0.876681 | − | 0.481072i | \(-0.840248\pi\) |
0.728436 | + | 0.685114i | \(0.240248\pi\) | |||||||
\(864\) | 0.0542265 | + | 1.04059i | 0.00184482 | + | 0.0354014i | ||||
\(865\) | 31.7520 | + | 10.3169i | 1.07960 | + | 0.350784i | ||||
\(866\) | 19.5832 | − | 36.5173i | 0.665464 | − | 1.24091i | ||||
\(867\) | 0.222588 | − | 0.161720i | 0.00755949 | − | 0.00549229i | ||||
\(868\) | 11.2297 | + | 0.471993i | 0.381161 | + | 0.0160205i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.143238 | − | 0.137344i | 0.00485623 | − | 0.00465641i | ||||
\(871\) | 28.8357 | − | 20.9504i | 0.977062 | − | 0.709877i | ||||
\(872\) | −26.5901 | − | 15.7317i | −0.900455 | − | 0.532743i | ||||
\(873\) | −3.94297 | + | 12.1352i | −0.133449 | + | 0.410714i | ||||
\(874\) | −0.754099 | − | 5.50748i | −0.0255078 | − | 0.186293i | ||||
\(875\) | −5.50393 | + | 7.57552i | −0.186067 | + | 0.256099i | ||||
\(876\) | −0.231457 | + | 0.622144i | −0.00782021 | + | 0.0210203i | ||||
\(877\) | 14.9324 | + | 45.9572i | 0.504232 | + | 1.55187i | 0.802058 | + | 0.597246i | \(0.203738\pi\) |
−0.297826 | + | 0.954620i | \(0.596262\pi\) | |||||||
\(878\) | 31.2459 | + | 5.62392i | 1.05450 | + | 0.189798i | ||||
\(879\) | 0.447503 | 0.0150939 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.5193 | −0.590240 | −0.295120 | − | 0.955460i | \(-0.595360\pi\) | ||||
−0.295120 | + | 0.955460i | \(0.595360\pi\) | |||||||
\(882\) | −26.7431 | − | 4.81348i | −0.900487 | − | 0.162078i | ||||
\(883\) | 0.513601 | + | 1.58070i | 0.0172840 | + | 0.0531948i | 0.959327 | − | 0.282299i | \(-0.0910969\pi\) |
−0.942043 | + | 0.335494i | \(0.891097\pi\) | |||||||
\(884\) | −9.79792 | + | 26.3363i | −0.329540 | + | 0.885785i | ||||
\(885\) | 0.324182 | − | 0.446198i | 0.0108973 | − | 0.0149988i | ||||
\(886\) | 0.916342 | + | 6.69240i | 0.0307851 | + | 0.224836i | ||||
\(887\) | −1.02180 | + | 3.14477i | −0.0343086 | + | 0.105591i | −0.966744 | − | 0.255745i | \(-0.917679\pi\) |
0.932436 | + | 0.361336i | \(0.117679\pi\) | |||||||
\(888\) | −0.369492 | + | 0.624525i | −0.0123993 | + | 0.0209577i | ||||
\(889\) | −8.87945 | + | 6.45130i | −0.297807 | + | 0.216370i | ||||
\(890\) | 1.79610 | − | 1.72219i | 0.0602053 | − | 0.0577280i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −8.47866 | − | 0.356365i | −0.283886 | − | 0.0119320i | ||||
\(893\) | 8.97593 | − | 6.52140i | 0.300368 | − | 0.218230i | ||||
\(894\) | 0.206528 | − | 0.385118i | 0.00690732 | − | 0.0128803i | ||||
\(895\) | 30.3662 | + | 9.86658i | 1.01503 | + | 0.329803i | ||||
\(896\) | 8.71395 | − | 0.0876510i | 0.291113 | − | 0.00292821i | ||||
\(897\) | −0.375165 | + | 0.516370i | −0.0125264 | + | 0.0172411i | ||||
\(898\) | −15.4650 | + | 7.47492i | −0.516072 | + | 0.249441i | ||||
\(899\) | −16.8915 | + | 5.48837i | −0.563362 | + | 0.183047i | ||||
\(900\) | 4.89693 | + | 7.37236i | 0.163231 | + | 0.245745i | ||||
\(901\) | 14.5491 | 0.484702 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0385180i | 0.00128180i | ||||||||
\(904\) | −9.50523 | + | 42.4886i | −0.316139 | + | 1.41315i | ||||
\(905\) | 4.35876 | + | 13.4149i | 0.144890 | + | 0.445926i | ||||
\(906\) | 0.467456 | − | 0.225943i | 0.0155302 | − | 0.00750645i | ||||
\(907\) | −21.1511 | − | 15.3672i | −0.702311 | − | 0.510259i | 0.178373 | − | 0.983963i | \(-0.442917\pi\) |
−0.880684 | + | 0.473704i | \(0.842917\pi\) | |||||||
\(908\) | 21.9558 | + | 17.4062i | 0.728630 | + | 0.577645i | ||||
\(909\) | 10.5688 | − | 32.5275i | 0.350545 | − | 1.07887i | ||||
\(910\) | −8.93029 | − | 4.78906i | −0.296036 | − | 0.158756i | ||||
\(911\) | 17.2081 | + | 23.6849i | 0.570130 | + | 0.784717i | 0.992570 | − | 0.121674i | \(-0.0388262\pi\) |
−0.422440 | + | 0.906391i | \(0.638826\pi\) | |||||||
\(912\) | −0.00965687 | + | 0.114676i | −0.000319771 | + | 0.00379729i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −0.151616 | + | 0.145377i | −0.00501501 | + | 0.00480866i | ||||
\(915\) | 0.185650 | + | 0.255525i | 0.00613740 | + | 0.00844741i | ||||
\(916\) | 12.4510 | + | 44.6150i | 0.411394 | + | 1.47412i | ||||
\(917\) | −1.74488 | − | 0.566946i | −0.0576210 | − | 0.0187222i | ||||
\(918\) | −0.731789 | + | 0.100199i | −0.0241526 | + | 0.00330705i | ||||
\(919\) | −14.7704 | − | 10.7313i | −0.487229 | − | 0.353993i | 0.316889 | − | 0.948463i | \(-0.397362\pi\) |
−0.804118 | + | 0.594470i | \(0.797362\pi\) | |||||||
\(920\) | 8.84299 | + | 20.4449i | 0.291545 | + | 0.674048i | ||||
\(921\) | 0.878901 | − | 0.285572i | 0.0289608 | − | 0.00940993i | ||||
\(922\) | 52.5565 | + | 9.45961i | 1.73086 | + | 0.311536i | ||||
\(923\) | − | 51.3148i | − | 1.68905i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.3288i | 0.405370i | ||||||||
\(926\) | −2.53405 | + | 14.0789i | −0.0832741 | + | 0.462661i | ||||
\(927\) | −19.5327 | + | 6.34655i | −0.641537 | + | 0.208448i | ||||
\(928\) | −12.8573 | + | 4.93108i | −0.422060 | + | 0.161871i | ||||
\(929\) | −22.5856 | − | 16.4094i | −0.741010 | − | 0.538375i | 0.152018 | − | 0.988378i | \(-0.451423\pi\) |
−0.893027 | + | 0.450003i | \(0.851423\pi\) | |||||||
\(930\) | −0.0806865 | − | 0.589285i | −0.00264581 | − | 0.0193234i | ||||
\(931\) | −5.70924 | − | 1.85504i | −0.187113 | − | 0.0607966i | ||||
\(932\) | −7.48612 | − | 26.8245i | −0.245216 | − | 0.878665i | ||||
\(933\) | −0.128863 | − | 0.177365i | −0.00421879 | − | 0.00580666i | ||||
\(934\) | −14.8405 | − | 15.4774i | −0.485596 | − | 0.506435i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −31.5344 | + | 27.7913i | −1.03073 | + | 0.908388i | ||||
\(937\) | 2.48569 | + | 3.42126i | 0.0812041 | + | 0.111768i | 0.847687 | − | 0.530497i | \(-0.177995\pi\) |
−0.766483 | + | 0.642265i | \(0.777995\pi\) | |||||||
\(938\) | 3.70302 | − | 6.90512i | 0.120908 | − | 0.225460i | ||||
\(939\) | 0.137802 | − | 0.424112i | 0.00449701 | − | 0.0138404i | ||||
\(940\) | −27.6198 | + | 34.8391i | −0.900859 | + | 1.13633i | ||||
\(941\) | 24.2354 | + | 17.6081i | 0.790052 | + | 0.574006i | 0.907979 | − | 0.419016i | \(-0.137625\pi\) |
−0.117927 | + | 0.993022i | \(0.537625\pi\) | |||||||
\(942\) | −0.131737 | − | 0.272552i | −0.00429223 | − | 0.00888024i | ||||
\(943\) | −5.76386 | − | 17.7393i | −0.187697 | − | 0.577673i | ||||
\(944\) | −32.7408 | + | 19.8179i | −1.06562 | + | 0.645019i | ||||
\(945\) | − | 0.266360i | − | 0.00866470i | ||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.7078 | 0.510436 | 0.255218 | − | 0.966884i | \(-0.417853\pi\) | ||||
0.255218 | + | 0.966884i | \(0.417853\pi\) | |||||||
\(948\) | −0.547728 | − | 0.824608i | −0.0177894 | − | 0.0267820i | ||||
\(949\) | −50.9411 | + | 16.5518i | −1.65362 | + | 0.537293i | ||||
\(950\) | 0.850888 | + | 1.76041i | 0.0276064 | + | 0.0571153i | ||||
\(951\) | 0.100068 | − | 0.137732i | 0.00324493 | − | 0.00446626i | ||||
\(952\) | 0.580233 | + | 6.14986i | 0.0188055 | + | 0.199318i | ||||
\(953\) | 20.2723 | + | 6.58688i | 0.656685 | + | 0.213370i | 0.618360 | − | 0.785895i | \(-0.287798\pi\) |
0.0383257 | + | 0.999265i | \(0.487798\pi\) | |||||||
\(954\) | 19.1794 | + | 10.2854i | 0.620957 | + | 0.333002i | ||||
\(955\) | −8.18321 | + | 5.94545i | −0.264802 | + | 0.192390i | ||||
\(956\) | −0.664003 | + | 15.7980i | −0.0214754 | + | 0.510944i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34.2449 | + | 35.7144i | 1.10640 | + | 1.15388i | ||||
\(959\) | 4.80094 | − | 3.48809i | 0.155030 | − | 0.112636i | ||||
\(960\) | −0.0862507 | − | 0.453015i | −0.00278373 | − | 0.0146210i | ||||
\(961\) | −6.87027 | + | 21.1445i | −0.221622 | + | 0.682081i | ||||
\(962\) | −58.0111 | + | 7.94304i | −1.87035 | + | 0.256094i | ||||
\(963\) | −6.90094 | + | 9.49833i | −0.222380 | + | 0.306079i | ||||
\(964\) | −0.0178260 | + | 0.0479155i | −0.000574138 | + | 0.00154325i | ||||
\(965\) | 9.59762 | + | 29.5384i | 0.308958 | + | 0.950876i | ||||
\(966\) | −0.0248550 | + | 0.138092i | −0.000799697 | + | 0.00444302i | ||||
\(967\) | 50.5407 | 1.62528 | 0.812640 | − | 0.582767i | \(-0.198030\pi\) | ||||
0.812640 | + | 0.582767i | \(0.198030\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.0815751 | −0.00262057 | ||||||||
\(970\) | 2.00097 | − | 11.1172i | 0.0642473 | − | 0.356950i | ||||
\(971\) | −1.97660 | − | 6.08334i | −0.0634320 | − | 0.195224i | 0.914318 | − | 0.404997i | \(-0.132727\pi\) |
−0.977750 | + | 0.209773i | \(0.932727\pi\) | |||||||
\(972\) | −1.55336 | − | 0.577898i | −0.0498240 | − | 0.0185361i | ||||
\(973\) | −4.91899 | + | 6.77041i | −0.157696 | + | 0.217049i | ||||
\(974\) | −24.8388 | + | 3.40100i | −0.795886 | + | 0.108975i | ||||
\(975\) | 0.0693754 | − | 0.213516i | 0.00222179 | − | 0.00683797i | ||||
\(976\) | −4.99974 | − | 21.3392i | −0.160038 | − | 0.683050i | ||||
\(977\) | −26.6557 | + | 19.3665i | −0.852792 | + | 0.619589i | −0.925914 | − | 0.377734i | \(-0.876704\pi\) |
0.0731228 | + | 0.997323i | \(0.476704\pi\) | |||||||
\(978\) | −0.571060 | − | 0.595566i | −0.0182605 | − | 0.0190441i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 24.0341 | + | 1.01017i | 0.767741 | + | 0.0322688i | ||||
\(981\) | 26.5027 | − | 19.2553i | 0.846166 | − | 0.614776i | ||||
\(982\) | −15.3500 | − | 8.23176i | −0.489838 | − | 0.262686i | ||||
\(983\) | 29.3614 | + | 9.54008i | 0.936482 | + | 0.304281i | 0.737211 | − | 0.675663i | \(-0.236143\pi\) |
0.199271 | + | 0.979944i | \(0.436143\pi\) | |||||||
\(984\) | 0.0362713 | + | 0.384438i | 0.00115629 | + | 0.0122554i | ||||
\(985\) | 8.72466 | − | 12.0085i | 0.277991 | − | 0.382621i | ||||
\(986\) | −4.24782 | − | 8.78837i | −0.135278 | − | 0.279879i | ||||
\(987\) | −0.266338 | + | 0.0865383i | −0.00847762 | + | 0.00275455i | ||||
\(988\) | −7.73509 | + | 5.13786i | −0.246086 | + | 0.163457i | ||||
\(989\) | 6.83214 | 0.217249 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.29312i | 0.231674i | 0.993268 | + | 0.115837i | \(0.0369549\pi\) | ||||
−0.993268 | + | 0.115837i | \(0.963045\pi\) | |||||||
\(992\) | −10.6940 | + | 39.8633i | −0.339534 | + | 1.26566i | ||||
\(993\) | 0.0426660 | + | 0.131312i | 0.00135396 | + | 0.00416707i | ||||
\(994\) | −4.90904 | − | 10.1564i | −0.155705 | − | 0.322140i | ||||
\(995\) | 16.2882 | + | 11.8340i | 0.516370 | + | 0.375164i | ||||
\(996\) | −0.617313 | − | 0.489395i | −0.0195603 | − | 0.0155071i | ||||
\(997\) | 0.753593 | − | 2.31932i | 0.0238665 | − | 0.0734536i | −0.938414 | − | 0.345513i | \(-0.887705\pi\) |
0.962280 | + | 0.272060i | \(0.0877048\pi\) | |||||||
\(998\) | −20.9269 | + | 39.0230i | −0.662430 | + | 1.23525i | ||||
\(999\) | −0.904646 | − | 1.24514i | −0.0286217 | − | 0.0393944i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))