Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(235,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.235");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.g (of order \(15\), degree \(8\), 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 338.1 | ||
Root | \(-0.978148 + 0.207912i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.338 |
Dual form | 961.2.g.d.816.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30902 | + | 0.951057i | −0.925615 | + | 0.672499i | −0.944915 | − | 0.327315i | \(-0.893856\pi\) |
0.0193004 | + | 0.999814i | \(0.493856\pi\) | |||||||
\(3\) | −0.338261 | + | 3.21834i | −0.195295 | + | 1.85811i | 0.257220 | + | 0.966353i | \(0.417194\pi\) |
−0.452515 | + | 0.891757i | \(0.649473\pi\) | |||||||
\(4\) | 0.190983 | − | 0.587785i | 0.0954915 | − | 0.293893i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | −0.955901 | − | 0.293691i | \(-0.905116\pi\) |
0.732294 | + | 0.680989i | \(0.238450\pi\) | |||||||
\(6\) | −2.61803 | − | 4.53457i | −1.06881 | − | 1.85123i | ||||
\(7\) | −0.230909 | + | 0.0490813i | −0.0872755 | + | 0.0185510i | −0.251342 | − | 0.967898i | \(-0.580872\pi\) |
0.164067 | + | 0.986449i | \(0.447539\pi\) | |||||||
\(8\) | −0.690983 | − | 2.12663i | −0.244299 | − | 0.751876i | ||||
\(9\) | −7.30885 | − | 1.55354i | −2.43628 | − | 0.517848i | ||||
\(10\) | −0.169131 | − | 1.60917i | −0.0534838 | − | 0.508864i | ||||
\(11\) | −1.33826 | − | 1.48629i | −0.403501 | − | 0.448133i | 0.506810 | − | 0.862058i | \(-0.330824\pi\) |
−0.910311 | + | 0.413924i | \(0.864158\pi\) | |||||||
\(12\) | 1.82709 | + | 0.813473i | 0.527436 | + | 0.234830i | ||||
\(13\) | 2.95630 | − | 1.31623i | 0.819929 | − | 0.365056i | 0.0464836 | − | 0.998919i | \(-0.485198\pi\) |
0.773445 | + | 0.633863i | \(0.218532\pi\) | |||||||
\(14\) | 0.255585 | − | 0.283856i | 0.0683080 | − | 0.0758637i | ||||
\(15\) | −2.61803 | − | 1.90211i | −0.675973 | − | 0.491123i | ||||
\(16\) | 3.92705 | + | 2.85317i | 0.981763 | + | 0.713292i | ||||
\(17\) | −0.511170 | + | 0.567712i | −0.123977 | + | 0.137690i | −0.801938 | − | 0.597408i | \(-0.796197\pi\) |
0.677961 | + | 0.735098i | \(0.262864\pi\) | |||||||
\(18\) | 11.0449 | − | 4.91752i | 2.60331 | − | 1.15907i | ||||
\(19\) | −2.04275 | − | 0.909491i | −0.468639 | − | 0.208651i | 0.158810 | − | 0.987309i | \(-0.449234\pi\) |
−0.627449 | + | 0.778658i | \(0.715901\pi\) | |||||||
\(20\) | 0.413545 | + | 0.459289i | 0.0924716 | + | 0.102700i | ||||
\(21\) | −0.0798526 | − | 0.759747i | −0.0174253 | − | 0.165790i | ||||
\(22\) | 3.16535 | + | 0.672816i | 0.674855 | + | 0.143445i | ||||
\(23\) | −1.76393 | − | 5.42882i | −0.367805 | − | 1.13199i | −0.948206 | − | 0.317657i | \(-0.897104\pi\) |
0.580400 | − | 0.814331i | \(-0.302896\pi\) | |||||||
\(24\) | 7.07794 | − | 1.50446i | 1.44478 | − | 0.307097i | ||||
\(25\) | 2.00000 | + | 3.46410i | 0.400000 | + | 0.692820i | ||||
\(26\) | −2.61803 | + | 4.53457i | −0.513439 | + | 0.889302i | ||||
\(27\) | 4.47214 | − | 13.7638i | 0.860663 | − | 2.64885i | ||||
\(28\) | −0.0152505 | + | 0.145099i | −0.00288207 | + | 0.0274211i | ||||
\(29\) | 2.23607 | − | 1.62460i | 0.415227 | − | 0.301680i | −0.360487 | − | 0.932764i | \(-0.617390\pi\) |
0.775715 | + | 0.631084i | \(0.217390\pi\) | |||||||
\(30\) | 5.23607 | 0.955971 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | 5.23607 | − | 3.80423i | 0.911482 | − | 0.662231i | ||||
\(34\) | 0.129204 | − | 1.22930i | 0.0221584 | − | 0.210823i | ||||
\(35\) | 0.0729490 | − | 0.224514i | 0.0123306 | − | 0.0379498i | ||||
\(36\) | −2.30902 | + | 3.99933i | −0.384836 | + | 0.666556i | ||||
\(37\) | −1.00000 | − | 1.73205i | −0.164399 | − | 0.284747i | 0.772043 | − | 0.635571i | \(-0.219235\pi\) |
−0.936442 | + | 0.350823i | \(0.885902\pi\) | |||||||
\(38\) | 3.53897 | − | 0.752232i | 0.574097 | − | 0.122028i | ||||
\(39\) | 3.23607 | + | 9.95959i | 0.518186 | + | 1.59481i | ||||
\(40\) | 2.18720 | + | 0.464905i | 0.345827 | + | 0.0735079i | ||||
\(41\) | −0.731699 | − | 6.96165i | −0.114272 | − | 1.08723i | −0.889937 | − | 0.456083i | \(-0.849252\pi\) |
0.775665 | − | 0.631145i | \(-0.217415\pi\) | |||||||
\(42\) | 0.827091 | + | 0.918578i | 0.127623 | + | 0.141740i | ||||
\(43\) | −1.12920 | − | 0.502754i | −0.172202 | − | 0.0766693i | 0.318825 | − | 0.947814i | \(-0.396712\pi\) |
−0.491027 | + | 0.871144i | \(0.663378\pi\) | |||||||
\(44\) | −1.12920 | + | 0.502754i | −0.170234 | + | 0.0757930i | ||||
\(45\) | 4.99983 | − | 5.55288i | 0.745331 | − | 0.827774i | ||||
\(46\) | 7.47214 | + | 5.42882i | 1.10171 | + | 0.800437i | ||||
\(47\) | −2.00000 | − | 1.45309i | −0.291730 | − | 0.211954i | 0.432288 | − | 0.901736i | \(-0.357707\pi\) |
−0.724018 | + | 0.689782i | \(0.757707\pi\) | |||||||
\(48\) | −10.5108 | + | 11.6735i | −1.51711 | + | 1.68492i | ||||
\(49\) | −6.34391 | + | 2.82449i | −0.906273 | + | 0.403499i | ||||
\(50\) | −5.91259 | − | 2.63245i | −0.836167 | − | 0.372285i | ||||
\(51\) | −1.65418 | − | 1.83716i | −0.231632 | − | 0.257253i | ||||
\(52\) | −0.209057 | − | 1.98904i | −0.0289910 | − | 0.275831i | ||||
\(53\) | −10.2433 | − | 2.17728i | −1.40702 | − | 0.299072i | −0.559061 | − | 0.829127i | \(-0.688838\pi\) |
−0.847964 | + | 0.530054i | \(0.822172\pi\) | |||||||
\(54\) | 7.23607 | + | 22.2703i | 0.984704 | + | 3.03061i | ||||
\(55\) | 1.95630 | − | 0.415823i | 0.263787 | − | 0.0560696i | ||||
\(56\) | 0.263932 | + | 0.457144i | 0.0352694 | + | 0.0610884i | ||||
\(57\) | 3.61803 | − | 6.26662i | 0.479220 | − | 0.830034i | ||||
\(58\) | −1.38197 | + | 4.25325i | −0.181461 | + | 0.558480i | ||||
\(59\) | −0.233733 | + | 2.22382i | −0.0304294 | + | 0.289517i | 0.968716 | + | 0.248174i | \(0.0798303\pi\) |
−0.999145 | + | 0.0413430i | \(0.986836\pi\) | |||||||
\(60\) | −1.61803 | + | 1.17557i | −0.208887 | + | 0.151765i | ||||
\(61\) | −8.18034 | −1.04739 | −0.523693 | − | 0.851907i | \(-0.675446\pi\) | ||||
−0.523693 | + | 0.851907i | \(0.675446\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.76393 | 0.222235 | ||||||||
\(64\) | −3.42705 | + | 2.48990i | −0.428381 | + | 0.311237i | ||||
\(65\) | −0.338261 | + | 3.21834i | −0.0419561 | + | 0.399186i | ||||
\(66\) | −3.23607 | + | 9.95959i | −0.398332 | + | 1.22594i | ||||
\(67\) | −4.00000 | + | 6.92820i | −0.488678 | + | 0.846415i | −0.999915 | − | 0.0130248i | \(-0.995854\pi\) |
0.511237 | + | 0.859440i | \(0.329187\pi\) | |||||||
\(68\) | 0.236068 | + | 0.408882i | 0.0286274 | + | 0.0495842i | ||||
\(69\) | 18.0685 | − | 3.84057i | 2.17519 | − | 0.462351i | ||||
\(70\) | 0.118034 | + | 0.363271i | 0.0141078 | + | 0.0434192i | ||||
\(71\) | 8.97973 | + | 1.90870i | 1.06570 | + | 0.226521i | 0.707203 | − | 0.707011i | \(-0.249957\pi\) |
0.358495 | + | 0.933532i | \(0.383290\pi\) | |||||||
\(72\) | 1.74648 | + | 16.6167i | 0.205825 | + | 1.95829i | ||||
\(73\) | −5.66897 | − | 6.29602i | −0.663502 | − | 0.736894i | 0.313626 | − | 0.949547i | \(-0.398456\pi\) |
−0.977128 | + | 0.212653i | \(0.931790\pi\) | |||||||
\(74\) | 2.95630 | + | 1.31623i | 0.343662 | + | 0.153008i | ||||
\(75\) | −11.8252 | + | 5.26491i | −1.36545 | + | 0.607939i | ||||
\(76\) | −0.924716 | + | 1.02700i | −0.106072 | + | 0.117805i | ||||
\(77\) | 0.381966 | + | 0.277515i | 0.0435291 | + | 0.0316257i | ||||
\(78\) | −13.7082 | − | 9.95959i | −1.55215 | − | 1.12770i | ||||
\(79\) | 7.83432 | − | 8.70089i | 0.881430 | − | 0.978927i | −0.118472 | − | 0.992957i | \(-0.537800\pi\) |
0.999902 | + | 0.0140307i | \(0.00446624\pi\) | |||||||
\(80\) | −4.43444 | + | 1.97434i | −0.495786 | + | 0.220738i | ||||
\(81\) | 22.3055 | + | 9.93105i | 2.47839 | + | 1.10345i | ||||
\(82\) | 7.57873 | + | 8.41704i | 0.836931 | + | 0.929506i | ||||
\(83\) | −1.56210 | − | 14.8624i | −0.171463 | − | 1.63136i | −0.654712 | − | 0.755878i | \(-0.727210\pi\) |
0.483249 | − | 0.875483i | \(-0.339456\pi\) | |||||||
\(84\) | −0.461819 | − | 0.0981626i | −0.0503885 | − | 0.0107104i | ||||
\(85\) | −0.236068 | − | 0.726543i | −0.0256052 | − | 0.0788046i | ||||
\(86\) | 1.95630 | − | 0.415823i | 0.210953 | − | 0.0448394i | ||||
\(87\) | 4.47214 | + | 7.74597i | 0.479463 | + | 0.830455i | ||||
\(88\) | −2.23607 | + | 3.87298i | −0.238366 | + | 0.412861i | ||||
\(89\) | −3.61803 | + | 11.1352i | −0.383511 | + | 1.18032i | 0.554044 | + | 0.832487i | \(0.313084\pi\) |
−0.937555 | + | 0.347838i | \(0.886916\pi\) | |||||||
\(90\) | −1.26377 | + | 12.0239i | −0.133213 | + | 1.26743i | ||||
\(91\) | −0.618034 | + | 0.449028i | −0.0647876 | + | 0.0470709i | ||||
\(92\) | −3.52786 | −0.367805 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | 1.80902 | − | 1.31433i | 0.185601 | − | 0.134847i | ||||
\(96\) | 1.14399 | − | 10.8843i | 0.116758 | − | 1.11088i | ||||
\(97\) | −4.92705 | + | 15.1639i | −0.500266 | + | 1.53966i | 0.308320 | + | 0.951283i | \(0.400233\pi\) |
−0.808586 | + | 0.588378i | \(0.799767\pi\) | |||||||
\(98\) | 5.61803 | − | 9.73072i | 0.567507 | − | 0.982951i | ||||
\(99\) | 7.47214 | + | 12.9421i | 0.750978 | + | 1.30073i | ||||
\(100\) | 2.41811 | − | 0.513986i | 0.241811 | − | 0.0513986i | ||||
\(101\) | −0.927051 | − | 2.85317i | −0.0922450 | − | 0.283901i | 0.894281 | − | 0.447506i | \(-0.147688\pi\) |
−0.986526 | + | 0.163605i | \(0.947688\pi\) | |||||||
\(102\) | 3.91259 | + | 0.831647i | 0.387404 | + | 0.0823453i | ||||
\(103\) | −0.651847 | − | 6.20191i | −0.0642284 | − | 0.611092i | −0.978537 | − | 0.206073i | \(-0.933932\pi\) |
0.914308 | − | 0.405019i | \(-0.132735\pi\) | |||||||
\(104\) | −4.84187 | − | 5.37745i | −0.474785 | − | 0.527302i | ||||
\(105\) | 0.697887 | + | 0.310719i | 0.0681068 | + | 0.0303231i | ||||
\(106\) | 15.4794 | − | 6.89186i | 1.50349 | − | 0.669396i | ||||
\(107\) | 3.85682 | − | 4.28344i | 0.372853 | − | 0.414095i | −0.527293 | − | 0.849684i | \(-0.676793\pi\) |
0.900146 | + | 0.435588i | \(0.143460\pi\) | |||||||
\(108\) | −7.23607 | − | 5.25731i | −0.696291 | − | 0.505885i | ||||
\(109\) | 11.2812 | + | 8.19624i | 1.08054 | + | 0.785057i | 0.977777 | − | 0.209649i | \(-0.0672321\pi\) |
0.102762 | + | 0.994706i | \(0.467232\pi\) | |||||||
\(110\) | −2.16535 | + | 2.40487i | −0.206458 | + | 0.229295i | ||||
\(111\) | 5.91259 | − | 2.63245i | 0.561198 | − | 0.249862i | ||||
\(112\) | −1.04683 | − | 0.466079i | −0.0989161 | − | 0.0440403i | ||||
\(113\) | 2.32331 | + | 2.58030i | 0.218559 | + | 0.242734i | 0.842447 | − | 0.538780i | \(-0.181114\pi\) |
−0.623888 | + | 0.781514i | \(0.714448\pi\) | |||||||
\(114\) | 1.22384 | + | 11.6441i | 0.114623 | + | 1.09057i | ||||
\(115\) | 5.58347 | + | 1.18680i | 0.520661 | + | 0.110670i | ||||
\(116\) | −0.527864 | − | 1.62460i | −0.0490109 | − | 0.150840i | ||||
\(117\) | −23.6519 | + | 5.02738i | −2.18662 | + | 0.464781i | ||||
\(118\) | −1.80902 | − | 3.13331i | −0.166534 | − | 0.288445i | ||||
\(119\) | 0.0901699 | − | 0.156179i | 0.00826587 | − | 0.0143169i | ||||
\(120\) | −2.23607 | + | 6.88191i | −0.204124 | + | 0.628230i | ||||
\(121\) | 0.731699 | − | 6.96165i | 0.0665181 | − | 0.632878i | ||||
\(122\) | 10.7082 | − | 7.77997i | 0.969475 | − | 0.704365i | ||||
\(123\) | 22.6525 | 2.04250 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | −2.30902 | + | 1.67760i | −0.205704 | + | 0.149452i | ||||
\(127\) | 1.30369 | − | 12.4038i | 0.115684 | − | 1.10066i | −0.770536 | − | 0.637396i | \(-0.780011\pi\) |
0.886220 | − | 0.463264i | \(-0.153322\pi\) | |||||||
\(128\) | 4.20820 | − | 12.9515i | 0.371956 | − | 1.14476i | ||||
\(129\) | 2.00000 | − | 3.46410i | 0.176090 | − | 0.304997i | ||||
\(130\) | −2.61803 | − | 4.53457i | −0.229617 | − | 0.397708i | ||||
\(131\) | −11.7378 | + | 2.49494i | −1.02553 | + | 0.217984i | −0.689821 | − | 0.723980i | \(-0.742311\pi\) |
−0.335713 | + | 0.941964i | \(0.608977\pi\) | |||||||
\(132\) | −1.23607 | − | 3.80423i | −0.107586 | − | 0.331115i | ||||
\(133\) | 0.516329 | + | 0.109749i | 0.0447714 | + | 0.00951645i | ||||
\(134\) | −1.35304 | − | 12.8734i | −0.116885 | − | 1.11209i | ||||
\(135\) | 9.68375 | + | 10.7549i | 0.833444 | + | 0.925634i | ||||
\(136\) | 1.56052 | + | 0.694789i | 0.133814 | + | 0.0595777i | ||||
\(137\) | −5.74784 | + | 2.55910i | −0.491071 | + | 0.218639i | −0.637306 | − | 0.770611i | \(-0.719951\pi\) |
0.146235 | + | 0.989250i | \(0.453285\pi\) | |||||||
\(138\) | −19.9993 | + | 22.2115i | −1.70246 | + | 1.89077i | ||||
\(139\) | 10.8541 | + | 7.88597i | 0.920633 | + | 0.668879i | 0.943681 | − | 0.330855i | \(-0.107337\pi\) |
−0.0230486 | + | 0.999734i | \(0.507337\pi\) | |||||||
\(140\) | −0.118034 | − | 0.0857567i | −0.00997569 | − | 0.00724777i | ||||
\(141\) | 5.35304 | − | 5.94516i | 0.450808 | − | 0.500673i | ||||
\(142\) | −13.5699 | + | 6.04171i | −1.13876 | + | 0.507009i | ||||
\(143\) | −5.91259 | − | 2.63245i | −0.494436 | − | 0.220137i | ||||
\(144\) | −24.2697 | − | 26.9542i | −2.02248 | − | 2.24619i | ||||
\(145\) | 0.288910 | + | 2.74879i | 0.0239926 | + | 0.228275i | ||||
\(146\) | 13.4086 | + | 2.85010i | 1.10971 | + | 0.235876i | ||||
\(147\) | −6.94427 | − | 21.3723i | −0.572754 | − | 1.76276i | ||||
\(148\) | −1.20906 | + | 0.256993i | −0.0993839 | + | 0.0211247i | ||||
\(149\) | −5.00000 | − | 8.66025i | −0.409616 | − | 0.709476i | 0.585231 | − | 0.810867i | \(-0.301004\pi\) |
−0.994847 | + | 0.101391i | \(0.967671\pi\) | |||||||
\(150\) | 10.4721 | − | 18.1383i | 0.855046 | − | 1.48098i | ||||
\(151\) | 4.38197 | − | 13.4863i | 0.356599 | − | 1.09750i | −0.598477 | − | 0.801140i | \(-0.704227\pi\) |
0.955076 | − | 0.296360i | \(-0.0957728\pi\) | |||||||
\(152\) | −0.522642 | + | 4.97261i | −0.0423919 | + | 0.403332i | ||||
\(153\) | 4.61803 | − | 3.35520i | 0.373346 | − | 0.271252i | ||||
\(154\) | −0.763932 | −0.0615594 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.47214 | 0.518186 | ||||||||
\(157\) | −16.8992 | + | 12.2780i | −1.34870 | + | 0.979889i | −0.349627 | + | 0.936889i | \(0.613692\pi\) |
−0.999075 | + | 0.0430003i | \(0.986308\pi\) | |||||||
\(158\) | −1.98022 | + | 18.8405i | −0.157537 | + | 1.49887i | ||||
\(159\) | 10.4721 | − | 32.2299i | 0.830494 | − | 2.55600i | ||||
\(160\) | 1.69098 | − | 2.92887i | 0.133684 | − | 0.231547i | ||||
\(161\) | 0.673762 | + | 1.16699i | 0.0530999 | + | 0.0919717i | ||||
\(162\) | −38.6433 | + | 8.21388i | −3.03610 | + | 0.645343i | ||||
\(163\) | 3.30902 | + | 10.1841i | 0.259182 | + | 0.797681i | 0.992977 | + | 0.118309i | \(0.0377475\pi\) |
−0.733795 | + | 0.679371i | \(0.762253\pi\) | |||||||
\(164\) | −4.23170 | − | 0.899475i | −0.330440 | − | 0.0702372i | ||||
\(165\) | 0.676522 | + | 6.43668i | 0.0526672 | + | 0.501095i | ||||
\(166\) | 16.1798 | + | 17.9695i | 1.25580 | + | 1.39470i | ||||
\(167\) | 5.91259 | + | 2.63245i | 0.457530 | + | 0.203705i | 0.622542 | − | 0.782586i | \(-0.286100\pi\) |
−0.165013 | + | 0.986291i | \(0.552766\pi\) | |||||||
\(168\) | −1.56052 | + | 0.694789i | −0.120397 | + | 0.0536041i | ||||
\(169\) | −1.69147 | + | 1.87857i | −0.130113 | + | 0.144505i | ||||
\(170\) | 1.00000 | + | 0.726543i | 0.0766965 | + | 0.0557233i | ||||
\(171\) | 13.5172 | + | 9.82084i | 1.03369 | + | 0.751018i | ||||
\(172\) | −0.511170 | + | 0.567712i | −0.0389764 | + | 0.0432876i | ||||
\(173\) | 2.68973 | − | 1.19754i | 0.204496 | − | 0.0910475i | −0.301933 | − | 0.953329i | \(-0.597632\pi\) |
0.506429 | + | 0.862282i | \(0.330965\pi\) | |||||||
\(174\) | −13.2210 | − | 5.88635i | −1.00228 | − | 0.446243i | ||||
\(175\) | −0.631841 | − | 0.701731i | −0.0477627 | − | 0.0530459i | ||||
\(176\) | −1.01478 | − | 9.65502i | −0.0764922 | − | 0.727775i | ||||
\(177\) | −7.07794 | − | 1.50446i | −0.532011 | − | 0.113082i | ||||
\(178\) | −5.85410 | − | 18.0171i | −0.438783 | − | 1.35044i | ||||
\(179\) | 1.67088 | − | 0.355156i | 0.124887 | − | 0.0265456i | −0.145044 | − | 0.989425i | \(-0.546332\pi\) |
0.269931 | + | 0.962880i | \(0.412999\pi\) | |||||||
\(180\) | −2.30902 | − | 3.99933i | −0.172104 | − | 0.298093i | ||||
\(181\) | −2.09017 | + | 3.62028i | −0.155361 | + | 0.269093i | −0.933190 | − | 0.359382i | \(-0.882987\pi\) |
0.777829 | + | 0.628476i | \(0.216321\pi\) | |||||||
\(182\) | 0.381966 | − | 1.17557i | 0.0283132 | − | 0.0871391i | ||||
\(183\) | 2.76709 | − | 26.3271i | 0.204549 | − | 1.94616i | ||||
\(184\) | −10.3262 | + | 7.50245i | −0.761260 | + | 0.553088i | ||||
\(185\) | 2.00000 | 0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.52786 | 0.111728 | ||||||||
\(188\) | −1.23607 | + | 0.898056i | −0.0901495 | + | 0.0654975i | ||||
\(189\) | −0.357112 | + | 3.39769i | −0.0259761 | + | 0.247146i | ||||
\(190\) | −1.11803 | + | 3.44095i | −0.0811107 | + | 0.249633i | ||||
\(191\) | 9.59017 | − | 16.6107i | 0.693920 | − | 1.20191i | −0.276623 | − | 0.960979i | \(-0.589215\pi\) |
0.970543 | − | 0.240927i | \(-0.0774514\pi\) | |||||||
\(192\) | −6.85410 | − | 11.8717i | −0.494652 | − | 0.856763i | ||||
\(193\) | −3.39626 | + | 0.721898i | −0.244468 | + | 0.0519633i | −0.328516 | − | 0.944498i | \(-0.606548\pi\) |
0.0840478 | + | 0.996462i | \(0.473215\pi\) | |||||||
\(194\) | −7.97214 | − | 24.5357i | −0.572366 | − | 1.76156i | ||||
\(195\) | −10.2433 | − | 2.17728i | −0.733538 | − | 0.155918i | ||||
\(196\) | 0.448615 | + | 4.26829i | 0.0320439 | + | 0.304878i | ||||
\(197\) | −7.63907 | − | 8.48404i | −0.544261 | − | 0.604463i | 0.406781 | − | 0.913526i | \(-0.366651\pi\) |
−0.951042 | + | 0.309063i | \(0.899985\pi\) | |||||||
\(198\) | −22.0898 | − | 9.83503i | −1.56986 | − | 0.698945i | ||||
\(199\) | 17.3065 | − | 7.70533i | 1.22682 | − | 0.546216i | 0.312003 | − | 0.950081i | \(-0.399000\pi\) |
0.914819 | + | 0.403865i | \(0.132333\pi\) | |||||||
\(200\) | 5.98489 | − | 6.64689i | 0.423195 | − | 0.470006i | ||||
\(201\) | −20.9443 | − | 15.2169i | −1.47730 | − | 1.07332i | ||||
\(202\) | 3.92705 | + | 2.85317i | 0.276306 | + | 0.200748i | ||||
\(203\) | −0.436592 | + | 0.484884i | −0.0306427 | + | 0.0340322i | ||||
\(204\) | −1.39577 | + | 0.621438i | −0.0977237 | + | 0.0435094i | ||||
\(205\) | 6.39482 | + | 2.84716i | 0.446633 | + | 0.198854i | ||||
\(206\) | 6.75164 | + | 7.49846i | 0.470409 | + | 0.522442i | ||||
\(207\) | 4.45840 | + | 42.4188i | 0.309880 | + | 2.94831i | ||||
\(208\) | 15.3649 | + | 3.26592i | 1.06537 | + | 0.226451i | ||||
\(209\) | 1.38197 | + | 4.25325i | 0.0955926 | + | 0.294204i | ||||
\(210\) | −1.20906 | + | 0.256993i | −0.0834329 | + | 0.0177342i | ||||
\(211\) | −11.5902 | − | 20.0748i | −0.797900 | − | 1.38200i | −0.920981 | − | 0.389607i | \(-0.872611\pi\) |
0.123081 | − | 0.992397i | \(-0.460723\pi\) | |||||||
\(212\) | −3.23607 | + | 5.60503i | −0.222254 | + | 0.384955i | ||||
\(213\) | −9.18034 | + | 28.2542i | −0.629027 | + | 1.93594i | ||||
\(214\) | −0.974857 | + | 9.27515i | −0.0666399 | + | 0.634036i | ||||
\(215\) | 1.00000 | − | 0.726543i | 0.0681994 | − | 0.0495498i | ||||
\(216\) | −32.3607 | −2.20187 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −22.5623 | −1.52811 | ||||||||
\(219\) | 22.1803 | − | 16.1150i | 1.49881 | − | 1.08895i | ||||
\(220\) | 0.129204 | − | 1.22930i | 0.00871095 | − | 0.0828792i | ||||
\(221\) | −0.763932 | + | 2.35114i | −0.0513876 | + | 0.158155i | ||||
\(222\) | −5.23607 | + | 9.06914i | −0.351422 | + | 0.608681i | ||||
\(223\) | 2.00000 | + | 3.46410i | 0.133930 | + | 0.231973i | 0.925188 | − | 0.379509i | \(-0.123907\pi\) |
−0.791258 | + | 0.611482i | \(0.790574\pi\) | |||||||
\(224\) | 0.780927 | − | 0.165991i | 0.0521779 | − | 0.0110908i | ||||
\(225\) | −9.23607 | − | 28.4257i | −0.615738 | − | 1.89505i | ||||
\(226\) | −5.49527 | − | 1.16805i | −0.365540 | − | 0.0776979i | ||||
\(227\) | 0.676522 | + | 6.43668i | 0.0449024 | + | 0.427218i | 0.993762 | + | 0.111520i | \(0.0355719\pi\) |
−0.948860 | + | 0.315698i | \(0.897761\pi\) | |||||||
\(228\) | −2.99244 | − | 3.32344i | −0.198179 | − | 0.220101i | ||||
\(229\) | 12.2565 | + | 5.45694i | 0.809932 | + | 0.360605i | 0.769556 | − | 0.638579i | \(-0.220478\pi\) |
0.0403763 | + | 0.999185i | \(0.487144\pi\) | |||||||
\(230\) | −8.43757 | + | 3.75665i | −0.556357 | + | 0.247706i | ||||
\(231\) | −1.02234 | + | 1.13542i | −0.0672651 | + | 0.0747054i | ||||
\(232\) | −5.00000 | − | 3.63271i | −0.328266 | − | 0.238499i | ||||
\(233\) | −14.5172 | − | 10.5474i | −0.951055 | − | 0.690982i | 1.33829e−6 | − | 1.00000i | \(-0.500000\pi\) |
−0.951056 | + | 0.309018i | \(0.900000\pi\) | |||||||
\(234\) | 26.1795 | − | 29.0753i | 1.71141 | − | 1.90071i | ||||
\(235\) | 2.25841 | − | 1.00551i | 0.147322 | − | 0.0655921i | ||||
\(236\) | 1.26249 | + | 0.562096i | 0.0821810 | + | 0.0365893i | ||||
\(237\) | 25.3524 | + | 28.1567i | 1.64681 | + | 1.82897i | ||||
\(238\) | 0.0305010 | + | 0.290198i | 0.00197709 | + | 0.0188107i | ||||
\(239\) | −11.4524 | − | 2.43427i | −0.740791 | − | 0.157460i | −0.177967 | − | 0.984037i | \(-0.556952\pi\) |
−0.562824 | + | 0.826577i | \(0.690285\pi\) | |||||||
\(240\) | −4.85410 | − | 14.9394i | −0.313331 | − | 0.964333i | ||||
\(241\) | 14.0469 | − | 2.98575i | 0.904838 | − | 0.192329i | 0.268083 | − | 0.963396i | \(-0.413610\pi\) |
0.636755 | + | 0.771066i | \(0.280276\pi\) | |||||||
\(242\) | 5.66312 | + | 9.80881i | 0.364039 | + | 0.630534i | ||||
\(243\) | −17.7984 | + | 30.8277i | −1.14177 | + | 1.97760i | ||||
\(244\) | −1.56231 | + | 4.80828i | −0.100016 | + | 0.307819i | ||||
\(245\) | 0.725874 | − | 6.90623i | 0.0463744 | − | 0.441223i | ||||
\(246\) | −29.6525 | + | 21.5438i | −1.89057 | + | 1.37358i | ||||
\(247\) | −7.23607 | −0.460420 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 48.3607 | 3.06473 | ||||||||
\(250\) | 11.7812 | − | 8.55951i | 0.745106 | − | 0.541351i | ||||
\(251\) | −0.190206 | + | 1.80969i | −0.0120057 | + | 0.114227i | −0.998883 | − | 0.0472426i | \(-0.984957\pi\) |
0.986878 | + | 0.161469i | \(0.0516233\pi\) | |||||||
\(252\) | 0.336881 | − | 1.03681i | 0.0212215 | − | 0.0653131i | ||||
\(253\) | −5.70820 | + | 9.88690i | −0.358872 | + | 0.621584i | ||||
\(254\) | 10.0902 | + | 17.4767i | 0.633114 | + | 1.09658i | ||||
\(255\) | 2.41811 | − | 0.513986i | 0.151428 | − | 0.0321870i | ||||
\(256\) | 4.19098 | + | 12.8985i | 0.261936 | + | 0.806157i | ||||
\(257\) | −1.90178 | − | 0.404237i | −0.118630 | − | 0.0252156i | 0.148214 | − | 0.988955i | \(-0.452648\pi\) |
−0.266844 | + | 0.963740i | \(0.585981\pi\) | |||||||
\(258\) | 0.676522 | + | 6.43668i | 0.0421184 | + | 0.400730i | ||||
\(259\) | 0.315921 | + | 0.350865i | 0.0196304 | + | 0.0218017i | ||||
\(260\) | 1.82709 | + | 0.813473i | 0.113311 | + | 0.0504495i | ||||
\(261\) | −18.8670 | + | 8.40012i | −1.16784 | + | 0.519954i | ||||
\(262\) | 12.9921 | − | 14.4292i | 0.802655 | − | 0.891439i | ||||
\(263\) | −18.7984 | − | 13.6578i | −1.15916 | − | 0.842177i | −0.169486 | − | 0.985533i | \(-0.554211\pi\) |
−0.989671 | + | 0.143355i | \(0.954211\pi\) | |||||||
\(264\) | −11.7082 | − | 8.50651i | −0.720590 | − | 0.523539i | ||||
\(265\) | 7.00723 | − | 7.78231i | 0.430451 | − | 0.478064i | ||||
\(266\) | −0.780261 | + | 0.347395i | −0.0478409 | + | 0.0213001i | ||||
\(267\) | −34.6129 | − | 15.4107i | −2.11828 | − | 0.943117i | ||||
\(268\) | 3.30836 | + | 3.67431i | 0.202090 | + | 0.224444i | ||||
\(269\) | −1.15564 | − | 10.9952i | −0.0704605 | − | 0.670387i | −0.971563 | − | 0.236781i | \(-0.923908\pi\) |
0.901103 | − | 0.433606i | \(-0.142759\pi\) | |||||||
\(270\) | −22.9047 | − | 4.86854i | −1.39394 | − | 0.296290i | ||||
\(271\) | 4.38197 | + | 13.4863i | 0.266185 | + | 0.819235i | 0.991418 | + | 0.130731i | \(0.0417323\pi\) |
−0.725232 | + | 0.688504i | \(0.758268\pi\) | |||||||
\(272\) | −3.62717 | + | 0.770979i | −0.219930 | + | 0.0467475i | ||||
\(273\) | −1.23607 | − | 2.14093i | −0.0748102 | − | 0.129575i | ||||
\(274\) | 5.09017 | − | 8.81643i | 0.307508 | − | 0.532620i | ||||
\(275\) | 2.47214 | − | 7.60845i | 0.149075 | − | 0.458807i | ||||
\(276\) | 1.19334 | − | 11.3539i | 0.0718306 | − | 0.683423i | ||||
\(277\) | −10.2361 | + | 7.43694i | −0.615026 | + | 0.446842i | −0.851180 | − | 0.524873i | \(-0.824113\pi\) |
0.236155 | + | 0.971715i | \(0.424113\pi\) | |||||||
\(278\) | −21.7082 | −1.30197 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.527864 | −0.0315459 | ||||||||
\(281\) | −13.7533 | + | 9.99235i | −0.820452 | + | 0.596094i | −0.916842 | − | 0.399250i | \(-0.869271\pi\) |
0.0963896 | + | 0.995344i | \(0.469271\pi\) | |||||||
\(282\) | −1.35304 | + | 12.8734i | −0.0805726 | + | 0.766598i | ||||
\(283\) | −4.29180 | + | 13.2088i | −0.255121 | + | 0.785181i | 0.738685 | + | 0.674051i | \(0.235447\pi\) |
−0.993806 | + | 0.111130i | \(0.964553\pi\) | |||||||
\(284\) | 2.83688 | − | 4.91362i | 0.168338 | − | 0.291570i | ||||
\(285\) | 3.61803 | + | 6.26662i | 0.214314 | + | 0.371202i | ||||
\(286\) | 10.2433 | − | 2.17728i | 0.605699 | − | 0.128745i | ||||
\(287\) | 0.510643 | + | 1.57160i | 0.0301423 | + | 0.0927685i | ||||
\(288\) | 24.7183 | + | 5.25403i | 1.45654 | + | 0.309597i | ||||
\(289\) | 1.71598 | + | 16.3265i | 0.100940 | + | 0.960381i | ||||
\(290\) | −2.99244 | − | 3.32344i | −0.175722 | − | 0.195159i | ||||
\(291\) | −47.1360 | − | 20.9863i | −2.76316 | − | 1.23024i | ||||
\(292\) | −4.78339 | + | 2.12970i | −0.279926 | + | 0.124631i | ||||
\(293\) | −0.315921 | + | 0.350865i | −0.0184563 | + | 0.0204978i | −0.752302 | − | 0.658818i | \(-0.771057\pi\) |
0.733846 | + | 0.679316i | \(0.237723\pi\) | |||||||
\(294\) | 29.4164 | + | 21.3723i | 1.71560 | + | 1.24646i | ||||
\(295\) | −1.80902 | − | 1.31433i | −0.105325 | − | 0.0765231i | ||||
\(296\) | −2.99244 | + | 3.32344i | −0.173932 | + | 0.193171i | ||||
\(297\) | −26.4419 | + | 11.7727i | −1.53432 | + | 0.683121i | ||||
\(298\) | 14.7815 | + | 6.58114i | 0.856268 | + | 0.381235i | ||||
\(299\) | −12.3603 | − | 13.7275i | −0.714813 | − | 0.793880i | ||||
\(300\) | 0.836228 | + | 7.95618i | 0.0482796 | + | 0.459350i | ||||
\(301\) | 0.285420 | + | 0.0606678i | 0.0164513 | + | 0.00349683i | ||||
\(302\) | 7.09017 | + | 21.8213i | 0.407993 | + | 1.25567i | ||||
\(303\) | 9.49606 | − | 2.01845i | 0.545534 | − | 0.115957i | ||||
\(304\) | −5.42705 | − | 9.39993i | −0.311263 | − | 0.539123i | ||||
\(305\) | 4.09017 | − | 7.08438i | 0.234202 | − | 0.405651i | ||||
\(306\) | −2.85410 | + | 8.78402i | −0.163158 | + | 0.502149i | ||||
\(307\) | 3.00082 | − | 28.5509i | 0.171266 | − | 1.62949i | −0.484688 | − | 0.874687i | \(-0.661067\pi\) |
0.655954 | − | 0.754801i | \(-0.272267\pi\) | |||||||
\(308\) | 0.236068 | − | 0.171513i | 0.0134512 | − | 0.00977288i | ||||
\(309\) | 20.1803 | 1.14802 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −29.1803 | −1.65467 | −0.827333 | − | 0.561712i | \(-0.810143\pi\) | ||||
−0.827333 | + | 0.561712i | \(0.810143\pi\) | |||||||
\(312\) | 18.9443 | − | 13.7638i | 1.07251 | − | 0.779223i | ||||
\(313\) | 1.75231 | − | 16.6721i | 0.0990463 | − | 0.942363i | −0.826298 | − | 0.563234i | \(-0.809557\pi\) |
0.925344 | − | 0.379129i | \(-0.123776\pi\) | |||||||
\(314\) | 10.4443 | − | 32.1442i | 0.589404 | − | 1.81400i | ||||
\(315\) | −0.881966 | + | 1.52761i | −0.0496932 | + | 0.0860711i | ||||
\(316\) | −3.61803 | − | 6.26662i | −0.203530 | − | 0.352525i | ||||
\(317\) | −3.96710 | + | 0.843233i | −0.222815 | + | 0.0473607i | −0.317966 | − | 0.948102i | \(-0.603000\pi\) |
0.0951515 | + | 0.995463i | \(0.469666\pi\) | |||||||
\(318\) | 16.9443 | + | 52.1491i | 0.950188 | + | 2.92438i | ||||
\(319\) | −5.40707 | − | 1.14931i | −0.302738 | − | 0.0643489i | ||||
\(320\) | −0.442790 | − | 4.21286i | −0.0247527 | − | 0.235506i | ||||
\(321\) | 12.4809 | + | 13.8615i | 0.696618 | + | 0.773673i | ||||
\(322\) | −1.99184 | − | 0.886824i | −0.111001 | − | 0.0494208i | ||||
\(323\) | 1.56052 | − | 0.694789i | 0.0868298 | − | 0.0386591i | ||||
\(324\) | 10.0973 | − | 11.2142i | 0.560961 | − | 0.623010i | ||||
\(325\) | 10.4721 | + | 7.60845i | 0.580890 | + | 0.422041i | ||||
\(326\) | −14.0172 | − | 10.1841i | −0.776342 | − | 0.564046i | ||||
\(327\) | −30.1943 | + | 33.5341i | −1.66975 | + | 1.85444i | ||||
\(328\) | −14.2992 | + | 6.36644i | −0.789544 | + | 0.351528i | ||||
\(329\) | 0.533138 | + | 0.237368i | 0.0293928 | + | 0.0130865i | ||||
\(330\) | −7.00723 | − | 7.78231i | −0.385735 | − | 0.428402i | ||||
\(331\) | 0.209057 | + | 1.98904i | 0.0114908 | + | 0.109328i | 0.998764 | − | 0.0497066i | \(-0.0158286\pi\) |
−0.987273 | + | 0.159034i | \(0.949162\pi\) | |||||||
\(332\) | −9.03424 | − | 1.92029i | −0.495818 | − | 0.105389i | ||||
\(333\) | 4.61803 | + | 14.2128i | 0.253067 | + | 0.778859i | ||||
\(334\) | −10.2433 | + | 2.17728i | −0.560488 | + | 0.119135i | ||||
\(335\) | −4.00000 | − | 6.92820i | −0.218543 | − | 0.378528i | ||||
\(336\) | 1.85410 | − | 3.21140i | 0.101150 | − | 0.175196i | ||||
\(337\) | 4.56231 | − | 14.0413i | 0.248525 | − | 0.764880i | −0.746512 | − | 0.665372i | \(-0.768273\pi\) |
0.995037 | − | 0.0995083i | \(-0.0317270\pi\) | |||||||
\(338\) | 0.427539 | − | 4.06776i | 0.0232551 | − | 0.221257i | ||||
\(339\) | −9.09017 | + | 6.60440i | −0.493710 | + | 0.358702i | ||||
\(340\) | −0.472136 | −0.0256052 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −27.0344 | −1.46186 | ||||||||
\(343\) | 2.66312 | − | 1.93487i | 0.143795 | − | 0.104473i | ||||
\(344\) | −0.288910 | + | 2.74879i | −0.0155770 | + | 0.148205i | ||||
\(345\) | −5.70820 | + | 17.5680i | −0.307319 | + | 0.945832i | ||||
\(346\) | −2.38197 | + | 4.12569i | −0.128055 | + | 0.221798i | ||||
\(347\) | 12.0902 | + | 20.9408i | 0.649034 | + | 1.12416i | 0.983354 | + | 0.181701i | \(0.0581602\pi\) |
−0.334320 | + | 0.942460i | \(0.608506\pi\) | |||||||
\(348\) | 5.40707 | − | 1.14931i | 0.289849 | − | 0.0616094i | ||||
\(349\) | −2.43769 | − | 7.50245i | −0.130487 | − | 0.401597i | 0.864374 | − | 0.502849i | \(-0.167715\pi\) |
−0.994861 | + | 0.101252i | \(0.967715\pi\) | |||||||
\(350\) | 1.49448 | + | 0.317661i | 0.0798831 | + | 0.0169797i | ||||
\(351\) | −4.89536 | − | 46.5763i | −0.261295 | − | 2.48606i | ||||
\(352\) | 4.52595 | + | 5.02658i | 0.241234 | + | 0.267918i | ||||
\(353\) | −6.77523 | − | 3.01652i | −0.360609 | − | 0.160553i | 0.218431 | − | 0.975852i | \(-0.429906\pi\) |
−0.579040 | + | 0.815299i | \(0.696573\pi\) | |||||||
\(354\) | 10.6960 | − | 4.76216i | 0.568485 | − | 0.253106i | ||||
\(355\) | −6.14285 | + | 6.82232i | −0.326028 | + | 0.362091i | ||||
\(356\) | 5.85410 | + | 4.25325i | 0.310267 | + | 0.225422i | ||||
\(357\) | 0.472136 | + | 0.343027i | 0.0249881 | + | 0.0181549i | ||||
\(358\) | −1.84943 | + | 2.05400i | −0.0977455 | + | 0.108557i | ||||
\(359\) | 20.3137 | − | 9.04422i | 1.07211 | − | 0.477336i | 0.206706 | − | 0.978403i | \(-0.433726\pi\) |
0.865408 | + | 0.501067i | \(0.167059\pi\) | |||||||
\(360\) | −15.2637 | − | 6.79584i | −0.804468 | − | 0.358172i | ||||
\(361\) | −9.36783 | − | 10.4040i | −0.493044 | − | 0.547580i | ||||
\(362\) | −0.707023 | − | 6.72688i | −0.0371603 | − | 0.353557i | ||||
\(363\) | 22.1575 | + | 4.70971i | 1.16297 | + | 0.247196i | ||||
\(364\) | 0.145898 | + | 0.449028i | 0.00764713 | + | 0.0235355i | ||||
\(365\) | 8.28700 | − | 1.76146i | 0.433761 | − | 0.0921988i | ||||
\(366\) | 21.4164 | + | 37.0943i | 1.11945 | + | 1.93895i | ||||
\(367\) | 9.00000 | − | 15.5885i | 0.469796 | − | 0.813711i | −0.529607 | − | 0.848243i | \(-0.677661\pi\) |
0.999404 | + | 0.0345320i | \(0.0109941\pi\) | |||||||
\(368\) | 8.56231 | − | 26.3521i | 0.446341 | − | 1.37370i | ||||
\(369\) | −5.46736 | + | 52.0184i | −0.284619 | + | 2.70797i | ||||
\(370\) | −2.61803 | + | 1.90211i | −0.136105 | + | 0.0988861i | ||||
\(371\) | 2.47214 | 0.128347 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0000 | 0.983783 | 0.491891 | − | 0.870657i | \(-0.336306\pi\) | ||||
0.491891 | + | 0.870657i | \(0.336306\pi\) | |||||||
\(374\) | −2.00000 | + | 1.45309i | −0.103418 | + | 0.0751372i | ||||
\(375\) | 3.04435 | − | 28.9651i | 0.157210 | − | 1.49575i | ||||
\(376\) | −1.70820 | + | 5.25731i | −0.0880939 | + | 0.271125i | ||||
\(377\) | 4.47214 | − | 7.74597i | 0.230327 | − | 0.398938i | ||||
\(378\) | −2.76393 | − | 4.78727i | −0.142161 | − | 0.246231i | ||||
\(379\) | 2.06532 | − | 0.438996i | 0.106088 | − | 0.0225497i | −0.154562 | − | 0.987983i | \(-0.549397\pi\) |
0.260650 | + | 0.965433i | \(0.416063\pi\) | |||||||
\(380\) | −0.427051 | − | 1.31433i | −0.0219073 | − | 0.0674236i | ||||
\(381\) | 39.4787 | + | 8.39146i | 2.02256 | + | 0.429907i | ||||
\(382\) | 3.24398 | + | 30.8644i | 0.165977 | + | 1.57916i | ||||
\(383\) | 15.9846 | + | 17.7526i | 0.816773 | + | 0.907118i | 0.997070 | − | 0.0764942i | \(-0.0243727\pi\) |
−0.180297 | + | 0.983612i | \(0.557706\pi\) | |||||||
\(384\) | 40.2589 | + | 17.9244i | 2.05445 | + | 0.914702i | ||||
\(385\) | −0.431318 | + | 0.192035i | −0.0219820 | + | 0.00978701i | ||||
\(386\) | 3.75920 | − | 4.17501i | 0.191338 | − | 0.212503i | ||||
\(387\) | 7.47214 | + | 5.42882i | 0.379830 | + | 0.275963i | ||||
\(388\) | 7.97214 | + | 5.79210i | 0.404724 | + | 0.294049i | ||||
\(389\) | 11.9698 | − | 13.2938i | 0.606892 | − | 0.674021i | −0.358890 | − | 0.933380i | \(-0.616845\pi\) |
0.965781 | + | 0.259359i | \(0.0835112\pi\) | |||||||
\(390\) | 15.4794 | − | 6.89186i | 0.783828 | − | 0.348983i | ||||
\(391\) | 3.98368 | + | 1.77365i | 0.201463 | + | 0.0896972i | ||||
\(392\) | 10.3902 | + | 11.5395i | 0.524783 | + | 0.582830i | ||||
\(393\) | −4.05913 | − | 38.6201i | −0.204756 | − | 1.94813i | ||||
\(394\) | 18.0685 | + | 3.84057i | 0.910277 | + | 0.193485i | ||||
\(395\) | 3.61803 | + | 11.1352i | 0.182043 | + | 0.560271i | ||||
\(396\) | 9.03424 | − | 1.92029i | 0.453988 | − | 0.0964980i | ||||
\(397\) | 3.50000 | + | 6.06218i | 0.175660 | + | 0.304252i | 0.940389 | − | 0.340099i | \(-0.110461\pi\) |
−0.764730 | + | 0.644351i | \(0.777127\pi\) | |||||||
\(398\) | −15.3262 | + | 26.5458i | −0.768235 | + | 1.33062i | ||||
\(399\) | −0.527864 | + | 1.62460i | −0.0264263 | + | 0.0813317i | ||||
\(400\) | −2.02957 | + | 19.3100i | −0.101478 | + | 0.965502i | ||||
\(401\) | 30.8885 | − | 22.4418i | 1.54250 | − | 1.12069i | 0.593757 | − | 0.804644i | \(-0.297644\pi\) |
0.948743 | − | 0.316048i | \(-0.102356\pi\) | |||||||
\(402\) | 41.8885 | 2.08921 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −1.85410 | −0.0922450 | ||||||||
\(405\) | −19.7533 | + | 14.3516i | −0.981549 | + | 0.713137i | ||||
\(406\) | 0.110354 | − | 1.04994i | 0.00547676 | − | 0.0521079i | ||||
\(407\) | −1.23607 | + | 3.80423i | −0.0612696 | + | 0.188568i | ||||
\(408\) | −2.76393 | + | 4.78727i | −0.136835 | + | 0.237005i | ||||
\(409\) | −1.90983 | − | 3.30792i | −0.0944350 | − | 0.163566i | 0.814938 | − | 0.579549i | \(-0.196771\pi\) |
−0.909373 | + | 0.415982i | \(0.863438\pi\) | |||||||
\(410\) | −11.0787 | + | 2.35486i | −0.547140 | + | 0.116298i | ||||
\(411\) | −6.29180 | − | 19.3642i | −0.310351 | − | 0.955163i | ||||
\(412\) | −3.76988 | − | 0.801313i | −0.185729 | − | 0.0394779i | ||||
\(413\) | −0.0551768 | − | 0.524972i | −0.00271507 | − | 0.0258322i | ||||
\(414\) | −46.1788 | − | 51.2868i | −2.26956 | − | 2.52061i | ||||
\(415\) | 13.6523 | + | 6.07838i | 0.670164 | + | 0.298376i | ||||
\(416\) | −9.99809 | + | 4.45144i | −0.490197 | + | 0.218250i | ||||
\(417\) | −29.0512 | + | 32.2647i | −1.42265 | + | 1.58001i | ||||
\(418\) | −5.85410 | − | 4.25325i | −0.286333 | − | 0.208033i | ||||
\(419\) | 8.19098 | + | 5.95110i | 0.400156 | + | 0.290730i | 0.769604 | − | 0.638521i | \(-0.220453\pi\) |
−0.369449 | + | 0.929251i | \(0.620453\pi\) | |||||||
\(420\) | 0.315921 | − | 0.350865i | 0.0154153 | − | 0.0171205i | ||||
\(421\) | 26.8223 | − | 11.9421i | 1.30724 | − | 0.582021i | 0.369458 | − | 0.929247i | \(-0.379543\pi\) |
0.937781 | + | 0.347227i | \(0.112877\pi\) | |||||||
\(422\) | 34.2640 | + | 15.2553i | 1.66794 | + | 0.742616i | ||||
\(423\) | 12.3603 | + | 13.7275i | 0.600977 | + | 0.667453i | ||||
\(424\) | 2.44768 | + | 23.2881i | 0.118870 | + | 1.13097i | ||||
\(425\) | −2.98895 | − | 0.635322i | −0.144986 | − | 0.0308176i | ||||
\(426\) | −14.8541 | − | 45.7162i | −0.719684 | − | 2.21496i | ||||
\(427\) | 1.88892 | − | 0.401502i | 0.0914111 | − | 0.0194300i | ||||
\(428\) | −1.78115 | − | 3.08505i | −0.0860953 | − | 0.149121i | ||||
\(429\) | 10.4721 | − | 18.1383i | 0.505599 | − | 0.875724i | ||||
\(430\) | −0.618034 | + | 1.90211i | −0.0298042 | + | 0.0917280i | ||||
\(431\) | −1.25434 | + | 11.9343i | −0.0604195 | + | 0.574853i | 0.921872 | + | 0.387494i | \(0.126659\pi\) |
−0.982292 | + | 0.187359i | \(0.940007\pi\) | |||||||
\(432\) | 56.8328 | − | 41.2915i | 2.73437 | − | 1.98664i | ||||
\(433\) | −10.1803 | −0.489236 | −0.244618 | − | 0.969620i | \(-0.578663\pi\) | ||||
−0.244618 | + | 0.969620i | \(0.578663\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.94427 | −0.428845 | ||||||||
\(436\) | 6.97214 | − | 5.06555i | 0.333905 | − | 0.242596i | ||||
\(437\) | −1.33419 | + | 12.6940i | −0.0638232 | + | 0.607237i | ||||
\(438\) | −13.7082 | + | 42.1895i | −0.655003 | + | 2.01589i | ||||
\(439\) | 0.590170 | − | 1.02220i | 0.0281673 | − | 0.0487872i | −0.851598 | − | 0.524195i | \(-0.824366\pi\) |
0.879765 | + | 0.475408i | \(0.157700\pi\) | |||||||
\(440\) | −2.23607 | − | 3.87298i | −0.106600 | − | 0.184637i | ||||
\(441\) | 50.7547 | − | 10.7882i | 2.41689 | − | 0.513725i | ||||
\(442\) | −1.23607 | − | 3.80423i | −0.0587938 | − | 0.180949i | ||||
\(443\) | −30.0372 | − | 6.38459i | −1.42711 | − | 0.303341i | −0.571346 | − | 0.820710i | \(-0.693578\pi\) |
−0.855763 | + | 0.517368i | \(0.826912\pi\) | |||||||
\(444\) | −0.418114 | − | 3.97809i | −0.0198428 | − | 0.188792i | ||||
\(445\) | −7.83432 | − | 8.70089i | −0.371382 | − | 0.412462i | ||||
\(446\) | −5.91259 | − | 2.63245i | −0.279969 | − | 0.124650i | ||||
\(447\) | 29.5630 | − | 13.1623i | 1.39828 | − | 0.622554i | ||||
\(448\) | 0.669131 | − | 0.743145i | 0.0316134 | − | 0.0351103i | ||||
\(449\) | −25.3262 | − | 18.4006i | −1.19522 | − | 0.868377i | −0.201413 | − | 0.979506i | \(-0.564553\pi\) |
−0.993806 | + | 0.111129i | \(0.964553\pi\) | |||||||
\(450\) | 39.1246 | + | 28.4257i | 1.84435 | + | 1.34000i | ||||
\(451\) | −9.36783 | + | 10.4040i | −0.441114 | + | 0.489907i | ||||
\(452\) | 1.96038 | − | 0.872815i | 0.0922083 | − | 0.0410538i | ||||
\(453\) | 41.9213 | + | 18.6646i | 1.96963 | + | 0.876937i | ||||
\(454\) | −7.00723 | − | 7.78231i | −0.328865 | − | 0.365242i | ||||
\(455\) | −0.0798526 | − | 0.759747i | −0.00374355 | − | 0.0356175i | ||||
\(456\) | −15.8268 | − | 3.36408i | −0.741156 | − | 0.157538i | ||||
\(457\) | 0.944272 | + | 2.90617i | 0.0441712 | + | 0.135945i | 0.970710 | − | 0.240254i | \(-0.0772308\pi\) |
−0.926539 | + | 0.376199i | \(0.877231\pi\) | |||||||
\(458\) | −21.2338 | + | 4.51339i | −0.992192 | + | 0.210897i | ||||
\(459\) | 5.52786 | + | 9.57454i | 0.258019 | + | 0.446901i | ||||
\(460\) | 1.76393 | − | 3.05522i | 0.0822438 | − | 0.142450i | ||||
\(461\) | −10.6180 | + | 32.6789i | −0.494531 | + | 1.52201i | 0.323155 | + | 0.946346i | \(0.395256\pi\) |
−0.817686 | + | 0.575664i | \(0.804744\pi\) | |||||||
\(462\) | 0.258409 | − | 2.45859i | 0.0120223 | − | 0.114384i | ||||
\(463\) | −2.09017 | + | 1.51860i | −0.0971384 | + | 0.0705752i | −0.635294 | − | 0.772270i | \(-0.719121\pi\) |
0.538156 | + | 0.842845i | \(0.319121\pi\) | |||||||
\(464\) | 13.4164 | 0.622841 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 29.0344 | 1.34499 | ||||||||
\(467\) | −3.80902 | + | 2.76741i | −0.176260 | + | 0.128061i | −0.672417 | − | 0.740172i | \(-0.734744\pi\) |
0.496157 | + | 0.868233i | \(0.334744\pi\) | |||||||
\(468\) | −1.56210 | + | 14.8624i | −0.0722082 | + | 0.687015i | ||||
\(469\) | 0.583592 | − | 1.79611i | 0.0269478 | − | 0.0829367i | ||||
\(470\) | −2.00000 | + | 3.46410i | −0.0922531 | + | 0.159787i | ||||
\(471\) | −33.7984 | − | 58.5405i | −1.55735 | − | 2.69740i | ||||
\(472\) | 4.89074 | − | 1.03956i | 0.225114 | − | 0.0478496i | ||||
\(473\) | 0.763932 | + | 2.35114i | 0.0351256 | + | 0.108106i | ||||
\(474\) | −59.9653 | − | 12.7460i | −2.75430 | − | 0.585444i | ||||
\(475\) | −0.934931 | − | 8.89527i | −0.0428976 | − | 0.408143i | ||||
\(476\) | −0.0745787 | − | 0.0828281i | −0.00341831 | − | 0.00379642i | ||||
\(477\) | 71.4842 | + | 31.8268i | 3.27304 | + | 1.45725i | ||||
\(478\) | 17.3065 | − | 7.70533i | 0.791579 | − | 0.352434i | ||||
\(479\) | 15.5853 | − | 17.3092i | 0.712108 | − | 0.790877i | −0.273146 | − | 0.961973i | \(-0.588064\pi\) |
0.985254 | + | 0.171096i | \(0.0547309\pi\) | |||||||
\(480\) | 8.85410 | + | 6.43288i | 0.404133 | + | 0.293620i | ||||
\(481\) | −5.23607 | − | 3.80423i | −0.238744 | − | 0.173458i | ||||
\(482\) | −15.5480 | + | 17.2678i | −0.708190 | + | 0.786525i | ||||
\(483\) | −3.98368 | + | 1.77365i | −0.181264 | + | 0.0807038i | ||||
\(484\) | −3.95222 | − | 1.75964i | −0.179646 | − | 0.0799836i | ||||
\(485\) | −10.6688 | − | 11.8489i | −0.484445 | − | 0.538031i | ||||
\(486\) | −6.02050 | − | 57.2812i | −0.273095 | − | 2.59833i | ||||
\(487\) | −18.8157 | − | 3.99940i | −0.852621 | − | 0.181230i | −0.239185 | − | 0.970974i | \(-0.576880\pi\) |
−0.613437 | + | 0.789744i | \(0.710213\pi\) | |||||||
\(488\) | 5.65248 | + | 17.3965i | 0.255876 | + | 0.787504i | ||||
\(489\) | −33.8952 | + | 7.20465i | −1.53280 | + | 0.325806i | ||||
\(490\) | 5.61803 | + | 9.73072i | 0.253797 | + | 0.439589i | ||||
\(491\) | 2.18034 | − | 3.77646i | 0.0983974 | − | 0.170429i | −0.812624 | − | 0.582788i | \(-0.801962\pi\) |
0.911021 | + | 0.412359i | \(0.135295\pi\) | |||||||
\(492\) | 4.32624 | − | 13.3148i | 0.195042 | − | 0.600277i | ||||
\(493\) | −0.220707 | + | 2.09989i | −0.00994016 | + | 0.0945743i | ||||
\(494\) | 9.47214 | − | 6.88191i | 0.426172 | − | 0.309632i | ||||
\(495\) | −14.9443 | −0.671695 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.16718 | −0.0972115 | ||||||||
\(498\) | −63.3050 | + | 45.9937i | −2.83676 | + | 2.06103i | ||||
\(499\) | −0.688173 | + | 6.54753i | −0.0308068 | + | 0.293108i | 0.968261 | + | 0.249941i | \(0.0804113\pi\) |
−0.999068 | + | 0.0431665i | \(0.986255\pi\) | |||||||
\(500\) | −1.71885 | + | 5.29007i | −0.0768692 | + | 0.236579i | ||||
\(501\) | −10.4721 | + | 18.1383i | −0.467861 | + | 0.810358i | ||||
\(502\) | −1.47214 | − | 2.54981i | −0.0657046 | − | 0.113804i | ||||
\(503\) | −29.0045 | + | 6.16510i | −1.29325 | + | 0.274888i | −0.802625 | − | 0.596484i | \(-0.796564\pi\) |
−0.490622 | + | 0.871373i | \(0.663230\pi\) | |||||||
\(504\) | −1.21885 | − | 3.75123i | −0.0542918 | − | 0.167093i | ||||
\(505\) | 2.93444 | + | 0.623735i | 0.130581 | + | 0.0277558i | ||||
\(506\) | −1.93086 | − | 18.3709i | −0.0858374 | − | 0.816688i | ||||
\(507\) | −5.47372 | − | 6.07918i | −0.243096 | − | 0.269986i | ||||
\(508\) | −7.04179 | − | 3.13521i | −0.312429 | − | 0.139102i | ||||
\(509\) | −27.0380 | + | 12.0381i | −1.19844 | + | 0.533579i | −0.906234 | − | 0.422778i | \(-0.861055\pi\) |
−0.292204 | + | 0.956356i | \(0.594389\pi\) | |||||||
\(510\) | −2.67652 | + | 2.97258i | −0.118518 | + | 0.131628i | ||||
\(511\) | 1.61803 | + | 1.17557i | 0.0715776 | + | 0.0520042i | ||||
\(512\) | 4.28115 | + | 3.11044i | 0.189202 | + | 0.137463i | ||||
\(513\) | −21.6535 | + | 24.0487i | −0.956026 | + | 1.06177i | ||||
\(514\) | 2.87392 | − | 1.27955i | 0.126763 | − | 0.0564386i | ||||
\(515\) | 5.69693 | + | 2.53644i | 0.251037 | + | 0.111769i | ||||
\(516\) | −1.65418 | − | 1.83716i | −0.0728213 | − | 0.0808762i | ||||
\(517\) | 0.516817 | + | 4.91719i | 0.0227296 | + | 0.216258i | ||||
\(518\) | −0.747238 | − | 0.158830i | −0.0328318 | − | 0.00697861i | ||||
\(519\) | 2.94427 | + | 9.06154i | 0.129239 | + | 0.397757i | ||||
\(520\) | 7.07794 | − | 1.50446i | 0.310388 | − | 0.0659751i | ||||
\(521\) | −1.00000 | − | 1.73205i | −0.0438108 | − | 0.0758825i | 0.843288 | − | 0.537461i | \(-0.180617\pi\) |
−0.887099 | + | 0.461579i | \(0.847283\pi\) | |||||||
\(522\) | 16.7082 | − | 28.9395i | 0.731298 | − | 1.26665i | ||||
\(523\) | 5.47214 | − | 16.8415i | 0.239280 | − | 0.736427i | −0.757245 | − | 0.653131i | \(-0.773455\pi\) |
0.996525 | − | 0.0832966i | \(-0.0265449\pi\) | |||||||
\(524\) | −0.775226 | + | 7.37578i | −0.0338659 | + | 0.322212i | ||||
\(525\) | 2.47214 | − | 1.79611i | 0.107893 | − | 0.0783888i | ||||
\(526\) | 37.5967 | 1.63930 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 31.4164 | 1.36722 | ||||||||
\(529\) | −7.75329 | + | 5.63309i | −0.337100 | + | 0.244917i | ||||
\(530\) | −1.77116 | + | 16.8514i | −0.0769342 | + | 0.731980i | ||||
\(531\) | 5.16312 | − | 15.8904i | 0.224060 | − | 0.689587i | ||||
\(532\) | 0.163119 | − | 0.282530i | 0.00707210 | − | 0.0122492i | ||||
\(533\) | −11.3262 | − | 19.6176i | −0.490594 | − | 0.849733i | ||||
\(534\) | 59.9653 | − | 12.7460i | 2.59495 | − | 0.551574i | ||||
\(535\) | 1.78115 | + | 5.48183i | 0.0770060 | + | 0.237000i | ||||
\(536\) | 17.4976 | + | 3.71924i | 0.755783 | + | 0.160647i | ||||
\(537\) | 0.577819 | + | 5.49758i | 0.0249347 | + | 0.237238i | ||||
\(538\) | 11.9698 | + | 13.2938i | 0.516054 | + | 0.573135i | ||||
\(539\) | 12.6878 | + | 5.64898i | 0.546503 | + | 0.243319i | ||||
\(540\) | 8.17100 | − | 3.63796i | 0.351624 | − | 0.156553i | ||||
\(541\) | −16.9696 | + | 18.8467i | −0.729580 | + | 0.810281i | −0.987787 | − | 0.155809i | \(-0.950202\pi\) |
0.258207 | + | 0.966090i | \(0.416868\pi\) | |||||||
\(542\) | −18.5623 | − | 13.4863i | −0.797319 | − | 0.579286i | ||||
\(543\) | −10.9443 | − | 7.95148i | −0.469664 | − | 0.341231i | ||||
\(544\) | 1.72876 | − | 1.91998i | 0.0741200 | − | 0.0823186i | ||||
\(545\) | −12.7387 | + | 5.67165i | −0.545667 | + | 0.242947i | ||||
\(546\) | 3.65418 | + | 1.62695i | 0.156385 | + | 0.0696269i | ||||
\(547\) | −8.11295 | − | 9.01034i | −0.346885 | − | 0.385254i | 0.544303 | − | 0.838888i | \(-0.316794\pi\) |
−0.891188 | + | 0.453634i | \(0.850127\pi\) | |||||||
\(548\) | 0.406464 | + | 3.86724i | 0.0173633 | + | 0.165200i | ||||
\(549\) | 59.7889 | + | 12.7085i | 2.55173 | + | 0.542386i | ||||
\(550\) | 4.00000 | + | 12.3107i | 0.170561 | + | 0.524931i | ||||
\(551\) | −6.04528 | + | 1.28496i | −0.257538 | + | 0.0547413i | ||||
\(552\) | −20.6525 | − | 35.7711i | −0.879028 | − | 1.52252i | ||||
\(553\) | −1.38197 | + | 2.39364i | −0.0587672 | + | 0.101788i | ||||
\(554\) | 6.32624 | − | 19.4702i | 0.268776 | − | 0.827208i | ||||
\(555\) | −0.676522 | + | 6.43668i | −0.0287168 | + | 0.273222i | ||||
\(556\) | 6.70820 | − | 4.87380i | 0.284491 | − | 0.206695i | ||||
\(557\) | 12.0000 | 0.508456 | 0.254228 | − | 0.967144i | \(-0.418179\pi\) | ||||
0.254228 | + | 0.967144i | \(0.418179\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | 0.927051 | − | 0.673542i | 0.0391751 | − | 0.0284623i | ||||
\(561\) | −0.516817 | + | 4.91719i | −0.0218200 | + | 0.207604i | ||||
\(562\) | 8.50000 | − | 26.1603i | 0.358551 | − | 1.10351i | ||||
\(563\) | −13.7705 | + | 23.8512i | −0.580358 | + | 1.00521i | 0.415079 | + | 0.909785i | \(0.363754\pi\) |
−0.995437 | + | 0.0954238i | \(0.969579\pi\) | |||||||
\(564\) | −2.47214 | − | 4.28187i | −0.104096 | − | 0.180299i | ||||
\(565\) | −3.39626 | + | 0.721898i | −0.142882 | + | 0.0303705i | ||||
\(566\) | −6.94427 | − | 21.3723i | −0.291890 | − | 0.898344i | ||||
\(567\) | −5.63798 | − | 1.19839i | −0.236773 | − | 0.0503276i | ||||
\(568\) | −2.14575 | − | 20.4154i | −0.0900335 | − | 0.856612i | ||||
\(569\) | −3.69886 | − | 4.10800i | −0.155064 | − | 0.172216i | 0.660607 | − | 0.750732i | \(-0.270299\pi\) |
−0.815671 | + | 0.578515i | \(0.803632\pi\) | |||||||
\(570\) | −10.6960 | − | 4.76216i | −0.448005 | − | 0.199465i | ||||
\(571\) | −25.7440 | + | 11.4620i | −1.07735 | + | 0.479669i | −0.867180 | − | 0.497995i | \(-0.834070\pi\) |
−0.210174 | + | 0.977664i | \(0.567403\pi\) | |||||||
\(572\) | −2.67652 | + | 2.97258i | −0.111911 | + | 0.124290i | ||||
\(573\) | 50.2148 | + | 36.4832i | 2.09775 | + | 1.52411i | ||||
\(574\) | −2.16312 | − | 1.57160i | −0.0902868 | − | 0.0655972i | ||||
\(575\) | 15.2781 | − | 16.9681i | 0.637142 | − | 0.707618i | ||||
\(576\) | 28.9160 | − | 12.8742i | 1.20483 | − | 0.536426i | ||||
\(577\) | −26.3401 | − | 11.7274i | −1.09655 | − | 0.488216i | −0.222936 | − | 0.974833i | \(-0.571564\pi\) |
−0.873616 | + | 0.486616i | \(0.838231\pi\) | |||||||
\(578\) | −17.7737 | − | 19.7396i | −0.739286 | − | 0.821061i | ||||
\(579\) | −1.17449 | − | 11.1745i | −0.0488101 | − | 0.464397i | ||||
\(580\) | 1.67088 | + | 0.355156i | 0.0693793 | + | 0.0147470i | ||||
\(581\) | 1.09017 | + | 3.35520i | 0.0452279 | + | 0.139197i | ||||
\(582\) | 81.6609 | − | 17.3576i | 3.38495 | − | 0.719494i | ||||
\(583\) | 10.4721 | + | 18.1383i | 0.433712 | + | 0.751210i | ||||
\(584\) | −9.47214 | + | 16.4062i | −0.391960 | + | 0.678894i | ||||
\(585\) | 7.47214 | − | 22.9969i | 0.308935 | − | 0.950804i | ||||
\(586\) | 0.0798526 | − | 0.759747i | 0.00329868 | − | 0.0313849i | ||||
\(587\) | −5.23607 | + | 3.80423i | −0.216116 | + | 0.157017i | −0.690576 | − | 0.723259i | \(-0.742643\pi\) |
0.474461 | + | 0.880277i | \(0.342643\pi\) | |||||||
\(588\) | −13.8885 | −0.572754 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 3.61803 | 0.148952 | ||||||||
\(591\) | 29.8885 | − | 21.7153i | 1.22945 | − | 0.893248i | ||||
\(592\) | 1.01478 | − | 9.65502i | 0.0417074 | − | 0.396819i | ||||
\(593\) | −2.01722 | + | 6.20837i | −0.0828373 | + | 0.254947i | −0.983894 | − | 0.178755i | \(-0.942793\pi\) |
0.901056 | + | 0.433702i | \(0.142793\pi\) | |||||||
\(594\) | 23.4164 | − | 40.5584i | 0.960787 | − | 1.66413i | ||||
\(595\) | 0.0901699 | + | 0.156179i | 0.00369661 | + | 0.00640271i | ||||
\(596\) | −6.04528 | + | 1.28496i | −0.247625 | + | 0.0526342i | ||||
\(597\) | 18.9443 | + | 58.3045i | 0.775337 | + | 2.38624i | ||||
\(598\) | 29.2354 | + | 6.21418i | 1.19552 | + | 0.254117i | ||||
\(599\) | 1.52578 | + | 14.5168i | 0.0623415 | + | 0.593140i | 0.980444 | + | 0.196797i | \(0.0630541\pi\) |
−0.918103 | + | 0.396343i | \(0.870279\pi\) | |||||||
\(600\) | 19.3675 | + | 21.5098i | 0.790675 | + | 0.878133i | ||||
\(601\) | −27.9006 | − | 12.4222i | −1.13809 | − | 0.506710i | −0.250853 | − | 0.968025i | \(-0.580711\pi\) |
−0.887236 | + | 0.461315i | \(0.847378\pi\) | |||||||
\(602\) | −0.431318 | + | 0.192035i | −0.0175792 | + | 0.00782676i | ||||
\(603\) | 39.9987 | − | 44.4230i | 1.62887 | − | 1.80905i | ||||
\(604\) | −7.09017 | − | 5.15131i | −0.288495 | − | 0.209604i | ||||
\(605\) | 5.66312 | + | 4.11450i | 0.230239 | + | 0.167278i | ||||
\(606\) | −10.5108 | + | 11.6735i | −0.426974 | + | 0.474202i | ||||
\(607\) | 20.5293 | − | 9.14024i | 0.833259 | − | 0.370991i | 0.0546543 | − | 0.998505i | \(-0.482594\pi\) |
0.778605 | + | 0.627514i | \(0.215928\pi\) | |||||||
\(608\) | 6.90851 | + | 3.07587i | 0.280177 | + | 0.124743i | ||||
\(609\) | −1.41284 | − | 1.56912i | −0.0572512 | − | 0.0635839i | ||||
\(610\) | 1.38355 | + | 13.1636i | 0.0560181 | + | 0.532977i | ||||
\(611\) | −7.82518 | − | 1.66329i | −0.316573 | − | 0.0672897i | ||||
\(612\) | −1.09017 | − | 3.35520i | −0.0440675 | − | 0.135626i | ||||
\(613\) | −42.9295 | + | 9.12494i | −1.73391 | + | 0.368553i | −0.963231 | − | 0.268676i | \(-0.913414\pi\) |
−0.770675 | + | 0.637229i | \(0.780081\pi\) | |||||||
\(614\) | 23.2254 | + | 40.2276i | 0.937302 | + | 1.62345i | ||||
\(615\) | −11.3262 | + | 19.6176i | −0.456718 | + | 0.791059i | ||||
\(616\) | 0.326238 | − | 1.00406i | 0.0131445 | − | 0.0404546i | ||||
\(617\) | −3.39426 | + | 32.2943i | −0.136648 | + | 1.30012i | 0.684336 | + | 0.729167i | \(0.260092\pi\) |
−0.820984 | + | 0.570951i | \(0.806575\pi\) | |||||||
\(618\) | −26.4164 | + | 19.1926i | −1.06262 | + | 0.772041i | ||||
\(619\) | −6.18034 | −0.248409 | −0.124204 | − | 0.992257i | \(-0.539638\pi\) | ||||
−0.124204 | + | 0.992257i | \(0.539638\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −82.6099 | −3.31502 | ||||||||
\(622\) | 38.1976 | − | 27.7522i | 1.53158 | − | 1.11276i | ||||
\(623\) | 0.288910 | − | 2.74879i | 0.0115749 | − | 0.110128i | ||||
\(624\) | −15.7082 | + | 48.3449i | −0.628831 | + | 1.93534i | ||||
\(625\) | −5.50000 | + | 9.52628i | −0.220000 | + | 0.381051i | ||||
\(626\) | 13.5623 | + | 23.4906i | 0.542059 | + | 0.938873i | ||||
\(627\) | −14.1559 | + | 3.00893i | −0.565332 | + | 0.120165i | ||||
\(628\) | 3.98936 | + | 12.2780i | 0.159193 | + | 0.489945i | ||||
\(629\) | 1.49448 | + | 0.317661i | 0.0595887 | + | 0.0126660i | ||||
\(630\) | −0.298335 | − | 2.83847i | −0.0118859 | − | 0.113087i | ||||
\(631\) | −22.9918 | − | 25.5350i | −0.915288 | − | 1.01653i | −0.999798 | − | 0.0201081i | \(-0.993599\pi\) |
0.0845094 | − | 0.996423i | \(-0.473068\pi\) | |||||||
\(632\) | −23.9169 | − | 10.6485i | −0.951364 | − | 0.423575i | ||||
\(633\) | 68.5279 | − | 30.5106i | 2.72374 | − | 1.21269i | ||||
\(634\) | 4.39104 | − | 4.87674i | 0.174390 | − | 0.193680i | ||||
\(635\) | 10.0902 | + | 7.33094i | 0.400416 | + | 0.290919i | ||||
\(636\) | −16.9443 | − | 12.3107i | −0.671884 | − | 0.488152i | ||||
\(637\) | −15.0368 | + | 16.7001i | −0.595779 | + | 0.661680i | ||||
\(638\) | 8.17100 | − | 3.63796i | 0.323493 | − | 0.144028i | ||||
\(639\) | −62.6662 | − | 27.9008i | −2.47904 | − | 1.10374i | ||||
\(640\) | 9.11224 | + | 10.1202i | 0.360193 | + | 0.400035i | ||||
\(641\) | 1.25434 | + | 11.9343i | 0.0495435 | + | 0.471375i | 0.990963 | + | 0.134137i | \(0.0428261\pi\) |
−0.941419 | + | 0.337238i | \(0.890507\pi\) | |||||||
\(642\) | −29.5208 | − | 6.27485i | −1.16509 | − | 0.247648i | ||||
\(643\) | −6.03444 | − | 18.5721i | −0.237975 | − | 0.732412i | −0.996713 | − | 0.0810159i | \(-0.974184\pi\) |
0.758738 | − | 0.651396i | \(-0.225816\pi\) | |||||||
\(644\) | 0.814617 | − | 0.173152i | 0.0321004 | − | 0.00682315i | ||||
\(645\) | 2.00000 | + | 3.46410i | 0.0787499 | + | 0.136399i | ||||
\(646\) | −1.38197 | + | 2.39364i | −0.0543727 | + | 0.0941763i | ||||
\(647\) | 0.291796 | − | 0.898056i | 0.0114717 | − | 0.0353062i | −0.945157 | − | 0.326617i | \(-0.894091\pi\) |
0.956629 | + | 0.291311i | \(0.0940913\pi\) | |||||||
\(648\) | 5.70691 | − | 54.2977i | 0.224189 | − | 2.13301i | ||||
\(649\) | 3.61803 | − | 2.62866i | 0.142020 | − | 0.103184i | ||||
\(650\) | −20.9443 | −0.821502 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.61803 | 0.259182 | ||||||||
\(653\) | 38.2705 | − | 27.8052i | 1.49764 | − | 1.08810i | 0.526332 | − | 0.850279i | \(-0.323567\pi\) |
0.971309 | − | 0.237820i | \(-0.0764329\pi\) | |||||||
\(654\) | 7.63195 | − | 72.6132i | 0.298433 | − | 2.83940i | ||||
\(655\) | 3.70820 | − | 11.4127i | 0.144892 | − | 0.445930i | ||||
\(656\) | 16.9894 | − | 29.4264i | 0.663323 | − | 1.14891i | ||||
\(657\) | 31.6525 | + | 54.8237i | 1.23488 | + | 2.13888i | ||||
\(658\) | −0.923637 | + | 0.196325i | −0.0360071 | + | 0.00765355i | ||||
\(659\) | 7.92705 | + | 24.3970i | 0.308794 | + | 0.950370i | 0.978234 | + | 0.207504i | \(0.0665341\pi\) |
−0.669440 | + | 0.742866i | \(0.733466\pi\) | |||||||
\(660\) | 3.91259 | + | 0.831647i | 0.152297 | + | 0.0323718i | ||||
\(661\) | 0.0668272 | + | 0.635818i | 0.00259928 | + | 0.0247305i | 0.995745 | − | 0.0921552i | \(-0.0293756\pi\) |
−0.993145 | + | 0.116886i | \(0.962709\pi\) | |||||||
\(662\) | −2.16535 | − | 2.40487i | −0.0841588 | − | 0.0934678i | ||||
\(663\) | −7.30836 | − | 3.25389i | −0.283833 | − | 0.126371i | ||||
\(664\) | −30.5274 | + | 13.5917i | −1.18469 | + | 0.527459i | ||||
\(665\) | −0.353210 | + | 0.392279i | −0.0136969 | + | 0.0152119i | ||||
\(666\) | −19.5623 | − | 14.2128i | −0.758024 | − | 0.550737i | ||||
\(667\) | −12.7639 | − | 9.27354i | −0.494221 | − | 0.359073i | ||||
\(668\) | 2.67652 | − | 2.97258i | 0.103558 | − | 0.115013i | ||||
\(669\) | −11.8252 | + | 5.26491i | −0.457188 | + | 0.203553i | ||||
\(670\) | 11.8252 | + | 5.26491i | 0.456847 | + | 0.203401i | ||||
\(671\) | 10.9474 | + | 12.1584i | 0.422621 | + | 0.469368i | ||||
\(672\) | 0.270059 | + | 2.56944i | 0.0104177 | + | 0.0991183i | ||||
\(673\) | −28.3791 | − | 6.03217i | −1.09394 | − | 0.232523i | −0.374601 | − | 0.927186i | \(-0.622220\pi\) |
−0.719335 | + | 0.694663i | \(0.755553\pi\) | |||||||
\(674\) | 7.38197 | + | 22.7194i | 0.284343 | + | 0.875117i | ||||
\(675\) | 56.6235 | − | 12.0357i | 2.17944 | − | 0.463255i | ||||
\(676\) | 0.781153 | + | 1.35300i | 0.0300443 | + | 0.0520383i | ||||
\(677\) | −23.3607 | + | 40.4619i | −0.897824 | + | 1.55508i | −0.0675535 | + | 0.997716i | \(0.521519\pi\) |
−0.830270 | + | 0.557361i | \(0.811814\pi\) | |||||||
\(678\) | 5.61803 | − | 17.2905i | 0.215759 | − | 0.664039i | ||||
\(679\) | 0.393438 | − | 3.74331i | 0.0150988 | − | 0.143655i | ||||
\(680\) | −1.38197 | + | 1.00406i | −0.0529960 | + | 0.0385038i | ||||
\(681\) | −20.9443 | −0.802586 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.18034 | 0.198220 | 0.0991101 | − | 0.995076i | \(-0.468400\pi\) | ||||
0.0991101 | + | 0.995076i | \(0.468400\pi\) | |||||||
\(684\) | 8.35410 | − | 6.06961i | 0.319427 | − | 0.232077i | ||||
\(685\) | 0.657672 | − | 6.25733i | 0.0251283 | − | 0.239080i | ||||
\(686\) | −1.64590 | + | 5.06555i | −0.0628407 | + | 0.193404i | ||||
\(687\) | −21.7082 | + | 37.5997i | −0.828220 | + | 1.43452i | ||||
\(688\) | −3.00000 | − | 5.19615i | −0.114374 | − | 0.198101i | ||||
\(689\) | −33.1480 | + | 7.04582i | −1.26284 | + | 0.268425i | ||||
\(690\) | −9.23607 | − | 28.4257i | −0.351611 | − | 1.08215i | ||||
\(691\) | −3.11084 | − | 0.661230i | −0.118342 | − | 0.0251544i | 0.148360 | − | 0.988933i | \(-0.452601\pi\) |
−0.266702 | + | 0.963779i | \(0.585934\pi\) | |||||||
\(692\) | −0.190206 | − | 1.80969i | −0.00723056 | − | 0.0687942i | ||||
\(693\) | −2.36060 | − | 2.62171i | −0.0896718 | − | 0.0995907i | ||||
\(694\) | −35.7421 | − | 15.9134i | −1.35675 | − | 0.604065i | ||||
\(695\) | −12.2565 | + | 5.45694i | −0.464915 | + | 0.206994i | ||||
\(696\) | 13.3826 | − | 14.8629i | 0.507267 | − | 0.563377i | ||||
\(697\) | 4.32624 | + | 3.14320i | 0.163868 | + | 0.119057i | ||||
\(698\) | 10.3262 | + | 7.50245i | 0.390854 | + | 0.283972i | ||||
\(699\) | 38.8557 | − | 43.1536i | 1.46966 | − | 1.63222i | ||||
\(700\) | −0.533138 | + | 0.237368i | −0.0201507 | + | 0.00897168i | ||||
\(701\) | 6.39482 | + | 2.84716i | 0.241529 | + | 0.107536i | 0.523932 | − | 0.851760i | \(-0.324465\pi\) |
−0.282403 | + | 0.959296i | \(0.591131\pi\) | |||||||
\(702\) | 50.7048 | + | 56.3134i | 1.91373 | + | 2.12541i | ||||
\(703\) | 0.467465 | + | 4.44764i | 0.0176308 | + | 0.167746i | ||||
\(704\) | 8.28700 | + | 1.76146i | 0.312328 | + | 0.0663874i | ||||
\(705\) | 2.47214 | + | 7.60845i | 0.0931060 | + | 0.286551i | ||||
\(706\) | 11.7378 | − | 2.49494i | 0.441757 | − | 0.0938983i | ||||
\(707\) | 0.354102 | + | 0.613323i | 0.0133174 | + | 0.0230664i | ||||
\(708\) | −2.23607 | + | 3.87298i | −0.0840366 | + | 0.145556i | ||||
\(709\) | −7.88854 | + | 24.2784i | −0.296260 | + | 0.911796i | 0.686535 | + | 0.727097i | \(0.259131\pi\) |
−0.982795 | + | 0.184699i | \(0.940869\pi\) | |||||||
\(710\) | 1.55268 | − | 14.7727i | 0.0582709 | − | 0.554411i | ||||
\(711\) | −70.7771 | + | 51.4226i | −2.65435 | + | 1.92850i | ||||
\(712\) | 26.1803 | 0.981150 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −0.944272 | −0.0353385 | ||||||||
\(715\) | 5.23607 | − | 3.80423i | 0.195818 | − | 0.142270i | ||||
\(716\) | 0.110354 | − | 1.04994i | 0.00412411 | − | 0.0392383i | ||||
\(717\) | 11.7082 | − | 36.0341i | 0.437251 | − | 1.34572i | ||||
\(718\) | −17.9894 | + | 31.1585i | −0.671357 | + | 1.16282i | ||||
\(719\) | −6.90983 | − | 11.9682i | −0.257693 | − | 0.446338i | 0.707930 | − | 0.706282i | \(-0.249629\pi\) |
−0.965624 | + | 0.259945i | \(0.916296\pi\) | |||||||
\(720\) | 35.4779 | − | 7.54106i | 1.32218 | − | 0.281039i | ||||
\(721\) | 0.454915 | + | 1.40008i | 0.0169419 | + | 0.0521419i | ||||
\(722\) | 22.1575 | + | 4.70971i | 0.824615 | + | 0.175277i | ||||
\(723\) | 4.85766 | + | 46.2176i | 0.180658 | + | 1.71885i | ||||
\(724\) | 1.72876 | + | 1.91998i | 0.0642489 | + | 0.0713556i | ||||
\(725\) | 10.0999 | + | 4.49677i | 0.375101 | + | 0.167006i | ||||
\(726\) | −33.4837 | + | 14.9079i | −1.24270 | + | 0.553284i | ||||
\(727\) | −29.5997 | + | 32.8738i | −1.09779 | + | 1.21922i | −0.123880 | + | 0.992297i | \(0.539534\pi\) |
−0.973912 | + | 0.226925i | \(0.927133\pi\) | |||||||
\(728\) | 1.38197 | + | 1.00406i | 0.0512191 | + | 0.0372128i | ||||
\(729\) | −33.9336 | − | 24.6542i | −1.25680 | − | 0.913119i | ||||
\(730\) | −9.17258 | + | 10.1872i | −0.339492 | + | 0.377044i | ||||
\(731\) | 0.862635 | − | 0.384070i | 0.0319057 | − | 0.0142053i | ||||
\(732\) | −14.9462 | − | 6.65449i | −0.552428 | − | 0.245957i | ||||
\(733\) | 2.32331 | + | 2.58030i | 0.0858135 | + | 0.0953056i | 0.784522 | − | 0.620101i | \(-0.212908\pi\) |
−0.698709 | + | 0.715406i | \(0.746242\pi\) | |||||||
\(734\) | 3.04435 | + | 28.9651i | 0.112369 | + | 1.06912i | ||||
\(735\) | 21.9811 | + | 4.67222i | 0.810784 | + | 0.172337i | ||||
\(736\) | 5.96556 | + | 18.3601i | 0.219893 | + | 0.676762i | ||||
\(737\) | 15.6504 | − | 3.32659i | 0.576488 | − | 0.122536i | ||||
\(738\) | −42.3156 | − | 73.2928i | −1.55766 | − | 2.69794i | ||||
\(739\) | 3.09017 | − | 5.35233i | 0.113674 | − | 0.196889i | −0.803575 | − | 0.595203i | \(-0.797071\pi\) |
0.917249 | + | 0.398315i | \(0.130405\pi\) | |||||||
\(740\) | 0.381966 | − | 1.17557i | 0.0140413 | − | 0.0432148i | ||||
\(741\) | 2.44768 | − | 23.2881i | 0.0899178 | − | 0.855511i | ||||
\(742\) | −3.23607 | + | 2.35114i | −0.118800 | + | 0.0863131i | ||||
\(743\) | −50.1803 | −1.84094 | −0.920469 | − | 0.390815i | \(-0.872193\pi\) | ||||
−0.920469 | + | 0.390815i | \(0.872193\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.0000 | 0.366372 | ||||||||
\(746\) | −24.8713 | + | 18.0701i | −0.910604 | + | 0.661592i | ||||
\(747\) | −11.6722 | + | 111.054i | −0.427065 | + | 4.06325i | ||||
\(748\) | 0.291796 | − | 0.898056i | 0.0106691 | − | 0.0328362i | ||||
\(749\) | −0.680340 | + | 1.17838i | −0.0248591 | + | 0.0430572i | ||||
\(750\) | 23.5623 | + | 40.8111i | 0.860374 | + | 1.49021i | ||||
\(751\) | 21.0703 | − | 4.47863i | 0.768866 | − | 0.163428i | 0.193252 | − | 0.981149i | \(-0.438096\pi\) |
0.575614 | + | 0.817722i | \(0.304763\pi\) | |||||||
\(752\) | −3.70820 | − | 11.4127i | −0.135224 | − | 0.416178i | ||||
\(753\) | −5.75987 | − | 1.22430i | −0.209901 | − | 0.0446159i | ||||
\(754\) | 1.51275 | + | 14.3929i | 0.0550911 | + | 0.524157i | ||||
\(755\) | 9.48850 | + | 10.5380i | 0.345322 | + | 0.383519i | ||||
\(756\) | 1.92891 | + | 0.858807i | 0.0701538 | + | 0.0312345i | ||||
\(757\) | −7.90443 | + | 3.51928i | −0.287291 | + | 0.127910i | −0.545323 | − | 0.838226i | \(-0.683593\pi\) |
0.258031 | + | 0.966137i | \(0.416926\pi\) | |||||||
\(758\) | −2.28602 | + | 2.53889i | −0.0830321 | + | 0.0922165i | ||||
\(759\) | −29.8885 | − | 21.7153i | −1.08489 | − | 0.788215i | ||||
\(760\) | −4.04508 | − | 2.93893i | −0.146731 | − | 0.106606i | ||||
\(761\) | −1.33826 | + | 1.48629i | −0.0485119 | + | 0.0538780i | −0.766912 | − | 0.641752i | \(-0.778208\pi\) |
0.718400 | + | 0.695630i | \(0.244875\pi\) | |||||||
\(762\) | −59.6590 | + | 26.5619i | −2.16122 | + | 0.962237i | ||||
\(763\) | −3.00721 | − | 1.33889i | −0.108868 | − | 0.0484712i | ||||
\(764\) | −7.93194 | − | 8.80931i | −0.286968 | − | 0.318710i | ||||
\(765\) | 0.596670 | + | 5.67693i | 0.0215726 | + | 0.205250i | ||||
\(766\) | −37.8078 | − | 8.03630i | −1.36605 | − | 0.290363i | ||||
\(767\) | 2.23607 | + | 6.88191i | 0.0807397 | + | 0.248491i | ||||
\(768\) | −42.9295 | + | 9.12494i | −1.54908 | + | 0.329268i | ||||
\(769\) | 23.6803 | + | 41.0156i | 0.853935 | + | 1.47906i | 0.877630 | + | 0.479339i | \(0.159124\pi\) |
−0.0236947 | + | 0.999719i | \(0.507543\pi\) | |||||||
\(770\) | 0.381966 | − | 0.661585i | 0.0137651 | − | 0.0238419i | ||||
\(771\) | 1.94427 | − | 5.98385i | 0.0700212 | − | 0.215503i | ||||
\(772\) | −0.224307 | + | 2.13414i | −0.00807300 | + | 0.0768095i | ||||
\(773\) | −9.00000 | + | 6.53888i | −0.323708 | + | 0.235187i | −0.737756 | − | 0.675068i | \(-0.764114\pi\) |
0.414048 | + | 0.910255i | \(0.364114\pi\) | |||||||
\(774\) | −14.9443 | −0.537161 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 35.6525 | 1.27985 | ||||||||
\(777\) | −1.23607 | + | 0.898056i | −0.0443437 | + | 0.0322176i | ||||
\(778\) | −3.02550 | + | 28.7857i | −0.108469 | + | 1.03202i | ||||
\(779\) | −4.83688 | + | 14.8864i | −0.173299 | + | 0.533360i | ||||
\(780\) | −3.23607 | + | 5.60503i | −0.115870 | + | 0.200692i | ||||
\(781\) | −9.18034 | − | 15.9008i | −0.328498 | − | 0.568976i | ||||
\(782\) | −6.90154 | + | 1.46697i | −0.246799 | + | 0.0524587i | ||||
\(783\) | −12.3607 | − | 38.0423i | −0.441735 | − | 1.35952i | ||||
\(784\) | −32.9716 | − | 7.00833i | −1.17756 | − | 0.250297i | ||||
\(785\) | −2.18345 | − | 20.7741i | −0.0779306 | − | 0.741460i | ||||
\(786\) | 42.0434 | + | 46.6939i | 1.49964 | + | 1.66552i | ||||
\(787\) | −6.71230 | − | 2.98851i | −0.239268 | − | 0.106529i | 0.283600 | − | 0.958943i | \(-0.408471\pi\) |
−0.522868 | + | 0.852414i | \(0.675138\pi\) | |||||||
\(788\) | −6.44573 | + | 2.86982i | −0.229620 | + | 0.102233i | ||||
\(789\) | 50.3143 | − | 55.8797i | 1.79124 | − | 1.98937i | ||||
\(790\) | −15.3262 | − | 11.1352i | −0.545283 | − | 0.396171i | ||||
\(791\) | −0.663119 | − | 0.481784i | −0.0235778 | − | 0.0171303i | ||||
\(792\) | 22.3599 | − | 24.8332i | 0.794526 | − | 0.882410i | ||||
\(793\) | −24.1835 | + | 10.7672i | −0.858781 | + | 0.382354i | ||||
\(794\) | −10.3470 | − | 4.60680i | −0.367202 | − | 0.163489i | ||||
\(795\) | 22.6759 | + | 25.1841i | 0.804230 | + | 0.893188i | ||||
\(796\) | −1.22384 | − | 11.6441i | −0.0433779 | − | 0.412713i | ||||
\(797\) | −54.2054 | − | 11.5217i | −1.92005 | − | 0.408120i | −0.999861 | − | 0.0166563i | \(-0.994698\pi\) |
−0.920193 | − | 0.391464i | \(-0.871969\pi\) | |||||||
\(798\) | −0.854102 | − | 2.62866i | −0.0302349 | − | 0.0930534i | ||||
\(799\) | 1.84727 | − | 0.392650i | 0.0653519 | − | 0.0138910i | ||||
\(800\) | −6.76393 | − | 11.7155i | −0.239141 | − | 0.414205i | ||||
\(801\) | 43.7426 | − | 75.7645i | 1.54557 | − | 2.67701i | ||||
\(802\) | −19.0902 | + | 58.7535i | −0.674097 | + | 2.07466i | ||||
\(803\) | −1.77116 | + | 16.8514i | −0.0625028 | + | 0.594675i | ||||
\(804\) | −12.9443 | + | 9.40456i | −0.456509 | + | 0.331673i | ||||
\(805\) | −1.34752 | −0.0474940 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.7771 | 1.25941 | ||||||||
\(808\) | −5.42705 | + | 3.94298i | −0.190923 | + | 0.138714i | ||||
\(809\) | 2.44768 | − | 23.2881i | 0.0860559 | − | 0.818767i | −0.863327 | − | 0.504645i | \(-0.831623\pi\) |
0.949383 | − | 0.314122i | \(-0.101710\pi\) | |||||||
\(810\) | 12.2082 | − | 37.5730i | 0.428953 | − | 1.32018i | ||||
\(811\) | 14.0000 | − | 24.2487i | 0.491606 | − | 0.851487i | −0.508347 | − | 0.861152i | \(-0.669743\pi\) |
0.999953 | + | 0.00966502i | \(0.00307652\pi\) | |||||||
\(812\) | 0.201626 | + | 0.349227i | 0.00707569 | + | 0.0122555i | ||||
\(813\) | −44.8858 | + | 9.54076i | −1.57421 | + | 0.334609i | ||||
\(814\) | −2.00000 | − | 6.15537i | −0.0701000 | − | 0.215746i | ||||
\(815\) | −10.4742 | − | 2.22636i | −0.366895 | − | 0.0779860i | ||||
\(816\) | −1.25434 | − | 11.9343i | −0.0439107 | − | 0.417783i | ||||
\(817\) | 1.84943 | + | 2.05400i | 0.0647034 | + | 0.0718604i | ||||
\(818\) | 5.64602 | + | 2.51377i | 0.197409 | + | 0.0878919i | ||||
\(819\) | 5.21470 | − | 2.32174i | 0.182216 | − | 0.0811280i | ||||
\(820\) | 2.89482 | − | 3.21502i | 0.101091 | − | 0.112273i | ||||
\(821\) | 24.7082 | + | 17.9516i | 0.862322 | + | 0.626514i | 0.928516 | − | 0.371293i | \(-0.121085\pi\) |
−0.0661935 | + | 0.997807i | \(0.521085\pi\) | |||||||
\(822\) | 26.6525 | + | 19.3642i | 0.929612 | + | 0.675403i | ||||
\(823\) | 9.56308 | − | 10.6209i | 0.333348 | − | 0.370220i | −0.553047 | − | 0.833150i | \(-0.686535\pi\) |
0.886395 | + | 0.462930i | \(0.153202\pi\) | |||||||
\(824\) | −12.7387 | + | 5.67165i | −0.443775 | + | 0.197581i | ||||
\(825\) | 23.6504 | + | 10.5298i | 0.823400 | + | 0.366601i | ||||
\(826\) | 0.571506 | + | 0.634721i | 0.0198852 | + | 0.0220848i | ||||
\(827\) | 1.81331 | + | 17.2525i | 0.0630550 | + | 0.599928i | 0.979734 | + | 0.200303i | \(0.0641928\pi\) |
−0.916679 | + | 0.399624i | \(0.869141\pi\) | |||||||
\(828\) | 25.7846 | + | 5.48069i | 0.896078 | + | 0.190467i | ||||
\(829\) | −5.20163 | − | 16.0090i | −0.180660 | − | 0.556014i | 0.819187 | − | 0.573527i | \(-0.194425\pi\) |
−0.999847 | + | 0.0175128i | \(0.994425\pi\) | |||||||
\(830\) | −23.6519 | + | 5.02738i | −0.820971 | + | 0.174503i | ||||
\(831\) | −20.4721 | − | 35.4588i | −0.710171 | − | 1.23005i | ||||
\(832\) | −6.85410 | + | 11.8717i | −0.237623 | + | 0.411576i | ||||
\(833\) | 1.63932 | − | 5.04531i | 0.0567991 | − | 0.174810i | ||||
\(834\) | 7.34304 | − | 69.8644i | 0.254269 | − | 2.41921i | ||||
\(835\) | −5.23607 | + | 3.80423i | −0.181202 | + | 0.131651i | ||||
\(836\) | 2.76393 | 0.0955926 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.3820 | −0.565906 | ||||||||
\(839\) | −23.4164 | + | 17.0130i | −0.808424 | + | 0.587355i | −0.913373 | − | 0.407123i | \(-0.866532\pi\) |
0.104949 | + | 0.994478i | \(0.466532\pi\) | |||||||
\(840\) | 0.178556 | − | 1.69885i | 0.00616076 | − | 0.0586158i | ||||
\(841\) | −6.60081 | + | 20.3152i | −0.227614 | + | 0.700525i | ||||
\(842\) | −23.7533 | + | 41.1419i | −0.818592 | + | 1.41784i | ||||
\(843\) | −27.5066 | − | 47.6428i | −0.947377 | − | 1.64090i | ||||
\(844\) | −14.0132 | + | 2.97859i | −0.482353 | + | 0.102527i | ||||
\(845\) | −0.781153 | − | 2.40414i | −0.0268725 | − | 0.0827050i | ||||
\(846\) | −29.2354 | − | 6.21418i | −1.00513 | − | 0.213648i | ||||
\(847\) | 0.172731 | + | 1.64342i | 0.00593510 | + | 0.0564687i | ||||
\(848\) | −34.0138 | − | 37.7761i | −1.16804 | − | 1.29724i | ||||
\(849\) | −41.0586 | − | 18.2805i | −1.40913 | − | 0.627385i | ||||
\(850\) | 4.51682 | − | 2.01102i | 0.154926 | − | 0.0689773i | ||||
\(851\) | −7.63907 | + | 8.48404i | −0.261864 | + | 0.290829i | ||||
\(852\) | 14.8541 | + | 10.7921i | 0.508893 | + | 0.369733i | ||||
\(853\) | −8.56231 | − | 6.22088i | −0.293168 | − | 0.212999i | 0.431473 | − | 0.902126i | \(-0.357994\pi\) |
−0.724640 | + | 0.689127i | \(0.757994\pi\) | |||||||
\(854\) | −2.09077 | + | 2.32204i | −0.0715448 | + | 0.0794585i | ||||
\(855\) | −15.2637 | + | 6.79584i | −0.522008 | + | 0.232413i | ||||
\(856\) | −11.7743 | − | 5.24224i | −0.402436 | − | 0.179176i | ||||
\(857\) | −37.2476 | − | 41.3676i | −1.27235 | − | 1.41309i | −0.866519 | − | 0.499144i | \(-0.833648\pi\) |
−0.405834 | − | 0.913947i | \(-0.633019\pi\) | |||||||
\(858\) | 3.54232 | + | 33.7029i | 0.120933 | + | 1.15060i | ||||
\(859\) | 2.06532 | + | 0.438996i | 0.0704677 | + | 0.0149784i | 0.243011 | − | 0.970024i | \(-0.421865\pi\) |
−0.172543 | + | 0.985002i | \(0.555198\pi\) | |||||||
\(860\) | −0.236068 | − | 0.726543i | −0.00804985 | − | 0.0247749i | ||||
\(861\) | −5.23067 | + | 1.11181i | −0.178261 | + | 0.0378905i | ||||
\(862\) | −9.70820 | − | 16.8151i | −0.330663 | − | 0.572725i | ||||
\(863\) | −4.90983 | + | 8.50408i | −0.167133 | + | 0.289482i | −0.937411 | − | 0.348226i | \(-0.886784\pi\) |
0.770278 | + | 0.637708i | \(0.220117\pi\) | |||||||
\(864\) | −15.1246 | + | 46.5488i | −0.514550 | + | 1.58362i | ||||
\(865\) | −0.307760 | + | 2.92814i | −0.0104642 | + | 0.0995598i | ||||
\(866\) | 13.3262 | − | 9.68208i | 0.452844 | − | 0.329010i | ||||
\(867\) | −53.1246 | −1.80421 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.4164 | −0.794347 | ||||||||
\(870\) | 11.7082 | − | 8.50651i | 0.396945 | − | 0.288398i | ||||
\(871\) | −2.70609 | + | 25.7467i | −0.0916924 | + | 0.872394i | ||||
\(872\) | 9.63525 | − | 29.6543i | 0.326291 | − | 1.00422i | ||||
\(873\) | 59.5689 | − | 103.176i | 2.01610 | − | 3.49199i | ||||
\(874\) | −10.3262 | − | 17.8856i | −0.349290 | − | 0.604988i | ||||
\(875\) | 2.07818 | − | 0.441732i | 0.0702554 | − | 0.0149333i | ||||
\(876\) | −5.23607 | − | 16.1150i | −0.176910 | − | 0.544474i | ||||
\(877\) | 17.6612 | + | 3.75400i | 0.596375 | + | 0.126763i | 0.496203 | − | 0.868207i | \(-0.334727\pi\) |
0.100172 | + | 0.994970i | \(0.468061\pi\) | |||||||
\(878\) | 0.199632 | + | 1.89937i | 0.00673724 | + | 0.0641006i | ||||
\(879\) | −1.02234 | − | 1.13542i | −0.0344827 | − | 0.0382969i | ||||
\(880\) | 8.86889 | + | 3.94868i | 0.298970 | + | 0.133110i | ||||
\(881\) | 18.6004 | − | 8.28143i | 0.626664 | − | 0.279009i | −0.0687326 | − | 0.997635i | \(-0.521896\pi\) |
0.695396 | + | 0.718626i | \(0.255229\pi\) | |||||||
\(882\) | −56.1785 | + | 62.3925i | −1.89163 | + | 2.10087i | ||||
\(883\) | −25.7082 | − | 18.6781i | −0.865150 | − | 0.628568i | 0.0641312 | − | 0.997941i | \(-0.479572\pi\) |
−0.929281 | + | 0.369373i | \(0.879572\pi\) | |||||||
\(884\) | 1.23607 | + | 0.898056i | 0.0415735 | + | 0.0302049i | ||||
\(885\) | 4.84187 | − | 5.37745i | 0.162758 | − | 0.180761i | ||||
\(886\) | 45.3913 | − | 20.2095i | 1.52495 | − | 0.678951i | ||||
\(887\) | 24.7287 | + | 11.0099i | 0.830307 | + | 0.369676i | 0.777465 | − | 0.628926i | \(-0.216505\pi\) |
0.0528421 | + | 0.998603i | \(0.483172\pi\) | |||||||
\(888\) | −9.68375 | − | 10.7549i | −0.324965 | − | 0.360911i | ||||
\(889\) | 0.307760 | + | 2.92814i | 0.0103219 | + | 0.0982068i | ||||
\(890\) | 18.5303 | + | 3.93874i | 0.621137 | + | 0.132027i | ||||
\(891\) | −15.0902 | − | 46.4428i | −0.505540 | − | 1.55589i | ||||
\(892\) | 2.41811 | − | 0.513986i | 0.0809644 | − | 0.0172095i | ||||
\(893\) | 2.76393 | + | 4.78727i | 0.0924915 | + | 0.160200i | ||||
\(894\) | −26.1803 | + | 45.3457i | −0.875602 | + | 1.51659i | ||||
\(895\) | −0.527864 | + | 1.62460i | −0.0176445 | + | 0.0543043i | ||||
\(896\) | −0.336036 | + | 3.19717i | −0.0112262 | + | 0.106810i | ||||
\(897\) | 48.3607 | − | 35.1361i | 1.61472 | − | 1.17316i | ||||
\(898\) | 50.6525 | 1.69030 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −18.4721 | −0.615738 | ||||||||
\(901\) | 6.47214 | − | 4.70228i | 0.215618 | − | 0.156656i | ||||
\(902\) | 2.36783 | − | 22.5284i | 0.0788401 | − | 0.750113i | ||||
\(903\) | −0.291796 | + | 0.898056i | −0.00971037 | + | 0.0298854i | ||||
\(904\) | 3.88197 | − | 6.72376i | 0.129112 | − | 0.223629i | ||||
\(905\) | −2.09017 | − | 3.62028i | −0.0694796 | − | 0.120342i | ||||
\(906\) | −72.6267 | + | 15.4373i | −2.41286 | + | 0.512869i | ||||
\(907\) | −7.48936 | − | 23.0499i | −0.248680 | − | 0.765358i | −0.995009 | − | 0.0997816i | \(-0.968186\pi\) |
0.746329 | − | 0.665577i | \(-0.231814\pi\) | |||||||
\(908\) | 3.91259 | + | 0.831647i | 0.129844 | + | 0.0275992i | ||||
\(909\) | 2.34315 | + | 22.2936i | 0.0777175 | + | 0.739432i | ||||
\(910\) | 0.827091 | + | 0.918578i | 0.0274178 | + | 0.0304505i | ||||
\(911\) | −16.6086 | − | 7.39461i | −0.550266 | − | 0.244994i | 0.112719 | − | 0.993627i | \(-0.464044\pi\) |
−0.662985 | + | 0.748633i | \(0.730711\pi\) | |||||||
\(912\) | 32.0879 | − | 14.2865i | 1.06254 | − | 0.473072i | ||||
\(913\) | −19.9993 | + | 22.2115i | −0.661882 | + | 0.735094i | ||||
\(914\) | −4.00000 | − | 2.90617i | −0.132308 | − | 0.0961276i | ||||
\(915\) | 21.4164 | + | 15.5599i | 0.708005 | + | 0.514395i | ||||
\(916\) | 5.54829 | − | 6.16201i | 0.183321 | − | 0.203598i | ||||
\(917\) | 2.58791 | − | 1.15221i | 0.0854602 | − | 0.0380493i | ||||
\(918\) | −16.3420 | − | 7.27593i | −0.539366 | − | 0.240141i | ||||
\(919\) | −9.68375 | − | 10.7549i | −0.319437 | − | 0.354771i | 0.561945 | − | 0.827175i | \(-0.310053\pi\) |
−0.881382 | + | 0.472403i | \(0.843387\pi\) | |||||||
\(920\) | −1.33419 | − | 12.6940i | −0.0439871 | − | 0.418509i | ||||
\(921\) | 90.8716 | + | 19.3153i | 2.99432 | + | 0.636462i | ||||
\(922\) | −17.1803 | − | 52.8756i | −0.565804 | − | 1.74137i | ||||
\(923\) | 29.0590 | − | 6.17668i | 0.956489 | − | 0.203308i | ||||
\(924\) | 0.472136 | + | 0.817763i | 0.0155321 | + | 0.0269024i | ||||
\(925\) | 4.00000 | − | 6.92820i | 0.131519 | − | 0.227798i | ||||
\(926\) | 1.29180 | − | 3.97574i | 0.0424511 | − | 0.130651i | ||||
\(927\) | −4.87069 | + | 46.3415i | −0.159974 | + | 1.52205i | ||||
\(928\) | −7.56231 | + | 5.49434i | −0.248245 | + | 0.180360i | ||||
\(929\) | 20.0000 | 0.656179 | 0.328089 | − | 0.944647i | \(-0.393595\pi\) | ||||
0.328089 | + | 0.944647i | \(0.393595\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.5279 | 0.508905 | ||||||||
\(932\) | −8.97214 | + | 6.51864i | −0.293892 | + | 0.213525i | ||||
\(933\) | 9.87058 | − | 93.9123i | 0.323148 | − | 3.07455i | ||||
\(934\) | 2.35410 | − | 7.24518i | 0.0770286 | − | 0.237070i | ||||
\(935\) | −0.763932 | + | 1.32317i | −0.0249832 | + | 0.0432723i | ||||
\(936\) | 27.0344 | + | 46.8250i | 0.883648 | + | 1.53052i | ||||
\(937\) | −8.85784 | + | 1.88279i | −0.289373 | + | 0.0615081i | −0.350311 | − | 0.936633i | \(-0.613924\pi\) |
0.0609381 | + | 0.998142i | \(0.480591\pi\) | |||||||
\(938\) | 0.944272 | + | 2.90617i | 0.0308316 | + | 0.0948898i | ||||
\(939\) | 53.0637 | + | 11.2790i | 1.73167 | + | 0.368078i | ||||
\(940\) | −0.159705 | − | 1.51949i | −0.00520901 | − | 0.0495604i | ||||
\(941\) | 25.4270 | + | 28.2395i | 0.828895 | + | 0.920581i | 0.997883 | − | 0.0650367i | \(-0.0207164\pi\) |
−0.168988 | + | 0.985618i | \(0.554050\pi\) | |||||||
\(942\) | 99.9180 | + | 44.4863i | 3.25550 | + | 1.44944i | ||||
\(943\) | −36.5029 | + | 16.2521i | −1.18870 | + | 0.529243i | ||||
\(944\) | −7.26281 | + | 8.06617i | −0.236384 | + | 0.262531i | ||||
\(945\) | −2.76393 | − | 2.00811i | −0.0899107 | − | 0.0653240i | ||||
\(946\) | −3.23607 | − | 2.35114i | −0.105214 | − | 0.0764422i | ||||
\(947\) | 8.73599 | − | 9.70230i | 0.283881 | − | 0.315282i | −0.584292 | − | 0.811544i | \(-0.698628\pi\) |
0.868173 | + | 0.496261i | \(0.165294\pi\) | |||||||
\(948\) | 21.3920 | − | 9.52431i | 0.694778 | − | 0.309335i | ||||
\(949\) | −25.0461 | − | 11.1513i | −0.813032 | − | 0.361985i | ||||
\(950\) | 9.68375 | + | 10.7549i | 0.314182 | + | 0.348935i | ||||
\(951\) | −1.37190 | − | 13.0527i | −0.0444868 | − | 0.423263i | ||||
\(952\) | −0.394440 | − | 0.0838409i | −0.0127839 | − | 0.00271730i | ||||
\(953\) | −14.1246 | − | 43.4711i | −0.457541 | − | 1.40817i | −0.868126 | − | 0.496344i | \(-0.834675\pi\) |
0.410585 | − | 0.911822i | \(-0.365325\pi\) | |||||||
\(954\) | −123.843 | + | 26.3237i | −4.00957 | + | 0.852261i | ||||
\(955\) | 9.59017 | + | 16.6107i | 0.310331 | + | 0.537508i | ||||
\(956\) | −3.61803 | + | 6.26662i | −0.117016 | + | 0.202677i | ||||
\(957\) | 5.52786 | − | 17.0130i | 0.178690 | − | 0.549953i | ||||
\(958\) | −3.93936 | + | 37.4805i | −0.127275 | + | 1.21094i | ||||
\(959\) | 1.20163 | − | 0.873032i | 0.0388025 | − | 0.0281917i | ||||
\(960\) | 13.7082 | 0.442430 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 10.4721 | 0.337635 | ||||||||
\(963\) | −34.8435 | + | 25.3153i | −1.12281 | + | 0.815773i | ||||
\(964\) | 0.927731 | − | 8.82677i | 0.0298802 | − | 0.284291i | ||||
\(965\) | 1.07295 | − | 3.30220i | 0.0345395 | − | 0.106301i | ||||
\(966\) | 3.52786 | − | 6.11044i | 0.113507 | − | 0.196600i | ||||
\(967\) | 30.1803 | + | 52.2739i | 0.970534 | + | 1.68101i | 0.693947 | + | 0.720026i | \(0.255870\pi\) |
0.276587 | + | 0.960989i | \(0.410797\pi\) | |||||||
\(968\) | −15.3104 | + | 3.25433i | −0.492096 | + | 0.104598i | ||||
\(969\) | 1.70820 | + | 5.25731i | 0.0548754 | + | 0.168889i | ||||
\(970\) | 25.2346 | + | 5.36378i | 0.810235 | + | 0.172221i | ||||
\(971\) | 2.92680 | + | 27.8466i | 0.0939254 | + | 0.893640i | 0.935459 | + | 0.353435i | \(0.114987\pi\) |
−0.841534 | + | 0.540205i | \(0.818347\pi\) | |||||||
\(972\) | 14.7209 | + | 16.3492i | 0.472172 | + | 0.524400i | ||||
\(973\) | −2.89337 | − | 1.28821i | −0.0927571 | − | 0.0412981i | ||||
\(974\) | 28.4337 | − | 12.6595i | 0.911076 | − | 0.405637i | ||||
\(975\) | −28.0289 | + | 31.1293i | −0.897643 | + | 0.996934i | ||||
\(976\) | −32.1246 | − | 23.3399i | −1.02828 | − | 0.747092i | ||||
\(977\) | 38.2254 | + | 27.7724i | 1.22294 | + | 0.888518i | 0.996341 | − | 0.0854705i | \(-0.0272393\pi\) |
0.226599 | + | 0.973988i | \(0.427239\pi\) | |||||||
\(978\) | 37.5174 | − | 41.6673i | 1.19967 | − | 1.33237i | ||||
\(979\) | 21.3920 | − | 9.52431i | 0.683690 | − | 0.304398i | ||||
\(980\) | −3.92075 | − | 1.74563i | −0.125244 | − | 0.0557621i | ||||
\(981\) | −69.7191 | − | 77.4309i | −2.22596 | − | 2.47218i | ||||
\(982\) | 0.737524 | + | 7.01708i | 0.0235353 | + | 0.223924i | ||||
\(983\) | 38.6641 | + | 8.21831i | 1.23319 | + | 0.262123i | 0.777997 | − | 0.628268i | \(-0.216236\pi\) |
0.455196 | + | 0.890391i | \(0.349569\pi\) | |||||||
\(984\) | −15.6525 | − | 48.1734i | −0.498983 | − | 1.53571i | ||||
\(985\) | 11.1669 | − | 2.37360i | 0.355808 | − | 0.0756293i | ||||
\(986\) | −1.70820 | − | 2.95870i | −0.0544003 | − | 0.0942241i | ||||
\(987\) | −0.944272 | + | 1.63553i | −0.0300565 | + | 0.0520594i | ||||
\(988\) | −1.38197 | + | 4.25325i | −0.0439662 | + | 0.135314i | ||||
\(989\) | −0.737524 | + | 7.01708i | −0.0234519 | + | 0.223130i | ||||
\(990\) | 19.5623 | − | 14.2128i | 0.621731 | − | 0.451714i | ||||
\(991\) | 16.5410 | 0.525443 | 0.262721 | − | 0.964872i | \(-0.415380\pi\) | ||||
0.262721 | + | 0.964872i | \(0.415380\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.47214 | −0.205387 | ||||||||
\(994\) | 2.83688 | − | 2.06111i | 0.0899804 | − | 0.0653746i | ||||
\(995\) | −1.98022 | + | 18.8405i | −0.0627771 | + | 0.597284i | ||||
\(996\) | 9.23607 | − | 28.4257i | 0.292656 | − | 0.900703i | ||||
\(997\) | 14.6803 | − | 25.4271i | 0.464931 | − | 0.805284i | −0.534267 | − | 0.845316i | \(-0.679412\pi\) |
0.999198 | + | 0.0400314i | \(0.0127458\pi\) | |||||||
\(998\) | −5.32624 | − | 9.22531i | −0.168599 | − | 0.292022i | ||||
\(999\) | −28.3118 | + | 6.01785i | −0.895745 | + | 0.190396i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))