Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 193.15 | ||
Character | \(\chi\) | \(=\) | 483.193 |
Dual form | 483.2.y.a.478.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.71111 | + | 1.63154i | 1.20994 | + | 1.15368i | 0.983741 | + | 0.179594i | \(0.0574785\pi\) |
0.226199 | + | 0.974081i | \(0.427370\pi\) | |||||||
\(3\) | −0.981929 | + | 0.189251i | −0.566917 | + | 0.109264i | ||||
\(4\) | 0.170812 | + | 3.58578i | 0.0854058 | + | 1.79289i | ||||
\(5\) | 2.82540 | − | 2.22192i | 1.26356 | − | 0.993673i | 0.263983 | − | 0.964527i | \(-0.414964\pi\) |
0.999575 | − | 0.0291463i | \(-0.00927887\pi\) | |||||||
\(6\) | −1.98896 | − | 1.27823i | −0.811991 | − | 0.521835i | ||||
\(7\) | −1.76234 | + | 1.97336i | −0.666101 | + | 0.745862i | ||||
\(8\) | −2.46152 | + | 2.84074i | −0.870278 | + | 1.00435i | ||||
\(9\) | 0.928368 | − | 0.371662i | 0.309456 | − | 0.123887i | ||||
\(10\) | 8.45975 | + | 0.807808i | 2.67521 | + | 0.255451i | ||||
\(11\) | −3.32800 | + | 3.17324i | −1.00343 | + | 0.956767i | −0.999065 | − | 0.0432232i | \(-0.986237\pi\) |
−0.00436318 | + | 0.999990i | \(0.501389\pi\) | |||||||
\(12\) | −0.846338 | − | 3.48865i | −0.244317 | − | 1.00709i | ||||
\(13\) | 2.20273 | + | 4.82330i | 0.610927 | + | 1.33774i | 0.921938 | + | 0.387337i | \(0.126605\pi\) |
−0.311011 | + | 0.950406i | \(0.600668\pi\) | |||||||
\(14\) | −6.23519 | + | 0.501319i | −1.66642 | + | 0.133983i | ||||
\(15\) | −2.35384 | + | 2.71648i | −0.607760 | + | 0.701392i | ||||
\(16\) | −1.69956 | + | 0.162288i | −0.424889 | + | 0.0405720i | ||||
\(17\) | 1.26200 | − | 0.650608i | 0.306081 | − | 0.157796i | −0.298343 | − | 0.954459i | \(-0.596434\pi\) |
0.604424 | + | 0.796663i | \(0.293403\pi\) | |||||||
\(18\) | 2.19493 | + | 0.878716i | 0.517349 | + | 0.207115i | ||||
\(19\) | 4.64926 | + | 2.39686i | 1.06661 | + | 0.549878i | 0.899886 | − | 0.436125i | \(-0.143650\pi\) |
0.166728 | + | 0.986003i | \(0.446680\pi\) | |||||||
\(20\) | 8.44993 | + | 9.75174i | 1.88946 | + | 2.18055i | ||||
\(21\) | 1.35703 | − | 2.27123i | 0.296128 | − | 0.495622i | ||||
\(22\) | −10.8719 | −2.31789 | ||||||||
\(23\) | 1.87717 | − | 4.41319i | 0.391417 | − | 0.920214i | ||||
\(24\) | 1.87942 | − | 3.25525i | 0.383635 | − | 0.664476i | ||||
\(25\) | 1.86717 | − | 7.69659i | 0.373434 | − | 1.53932i | ||||
\(26\) | −4.10031 | + | 11.8471i | −0.804137 | + | 2.32340i | ||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | −7.37707 | − | 5.98228i | −1.39414 | − | 1.13054i | ||||
\(29\) | −4.42458 | − | 2.84350i | −0.821624 | − | 0.528026i | 0.0609823 | − | 0.998139i | \(-0.480577\pi\) |
−0.882606 | + | 0.470113i | \(0.844213\pi\) | |||||||
\(30\) | −8.45975 | + | 0.807808i | −1.54453 | + | 0.147485i | ||||
\(31\) | −1.56243 | − | 4.51434i | −0.280620 | − | 0.810799i | −0.993936 | − | 0.109957i | \(-0.964929\pi\) |
0.713316 | − | 0.700843i | \(-0.247192\pi\) | |||||||
\(32\) | 2.73638 | + | 2.15192i | 0.483729 | + | 0.380409i | ||||
\(33\) | 2.66732 | − | 3.74572i | 0.464320 | − | 0.652046i | ||||
\(34\) | 3.22093 | + | 0.945750i | 0.552385 | + | 0.162195i | ||||
\(35\) | −0.594654 | + | 9.49132i | −0.100515 | + | 1.60433i | ||||
\(36\) | 1.49127 | + | 3.26544i | 0.248546 | + | 0.544239i | ||||
\(37\) | 0.228280 | − | 0.0913894i | 0.0375289 | − | 0.0150243i | −0.352822 | − | 0.935690i | \(-0.614778\pi\) |
0.390351 | + | 0.920666i | \(0.372354\pi\) | |||||||
\(38\) | 4.04483 | + | 11.6868i | 0.656158 | + | 1.89584i | ||||
\(39\) | −3.07574 | − | 4.31927i | −0.492512 | − | 0.691637i | ||||
\(40\) | −0.642872 | + | 13.4955i | −0.101647 | + | 2.13383i | ||||
\(41\) | −0.958375 | − | 6.66564i | −0.149673 | − | 1.04100i | −0.916755 | − | 0.399450i | \(-0.869201\pi\) |
0.767082 | − | 0.641549i | \(-0.221708\pi\) | |||||||
\(42\) | 6.02764 | − | 1.67228i | 0.930084 | − | 0.258038i | ||||
\(43\) | −7.20513 | − | 8.31516i | −1.09877 | − | 1.26805i | −0.960688 | − | 0.277630i | \(-0.910451\pi\) |
−0.138084 | − | 0.990421i | \(-0.544094\pi\) | |||||||
\(44\) | −11.9470 | − | 11.3914i | −1.80108 | − | 1.71732i | ||||
\(45\) | 1.79721 | − | 3.11286i | 0.267912 | − | 0.464037i | ||||
\(46\) | 10.4124 | − | 4.48879i | 1.53522 | − | 0.661835i | ||||
\(47\) | −3.98690 | − | 6.90551i | −0.581549 | − | 1.00727i | −0.995296 | − | 0.0968804i | \(-0.969114\pi\) |
0.413747 | − | 0.910392i | \(-0.364220\pi\) | |||||||
\(48\) | 1.63813 | − | 0.480999i | 0.236444 | − | 0.0694262i | ||||
\(49\) | −0.788332 | − | 6.95547i | −0.112619 | − | 0.993638i | ||||
\(50\) | 15.7523 | − | 10.1234i | 2.22771 | − | 1.43166i | ||||
\(51\) | −1.11607 | + | 0.877687i | −0.156281 | + | 0.122901i | ||||
\(52\) | −16.9190 | + | 8.72237i | −2.34625 | + | 1.20957i | ||||
\(53\) | −2.49638 | − | 3.50568i | −0.342905 | − | 0.481542i | 0.606727 | − | 0.794910i | \(-0.292482\pi\) |
−0.949632 | + | 0.313368i | \(0.898543\pi\) | |||||||
\(54\) | −2.32156 | − | 0.447444i | −0.315924 | − | 0.0608894i | ||||
\(55\) | −2.35224 | + | 16.3602i | −0.317177 | + | 2.20601i | ||||
\(56\) | −1.26779 | − | 9.86382i | −0.169416 | − | 1.31811i | ||||
\(57\) | −5.01885 | − | 1.47367i | −0.664763 | − | 0.195192i | ||||
\(58\) | −2.93166 | − | 12.0845i | −0.384945 | − | 1.58677i | ||||
\(59\) | −0.392309 | − | 0.0374610i | −0.0510743 | − | 0.00487701i | 0.0694876 | − | 0.997583i | \(-0.477864\pi\) |
−0.120562 | + | 0.992706i | \(0.538470\pi\) | |||||||
\(60\) | −10.1428 | − | 7.97635i | −1.30942 | − | 1.02974i | ||||
\(61\) | 11.3235 | + | 2.18242i | 1.44982 | + | 0.279430i | 0.852565 | − | 0.522621i | \(-0.175046\pi\) |
0.597256 | + | 0.802051i | \(0.296258\pi\) | |||||||
\(62\) | 4.69185 | − | 10.2737i | 0.595866 | − | 1.30476i | ||||
\(63\) | −0.902672 | + | 2.48700i | −0.113726 | + | 0.313333i | ||||
\(64\) | 1.65726 | + | 11.5265i | 0.207158 | + | 1.44082i | ||||
\(65\) | 16.9406 | + | 8.73348i | 2.10122 | + | 1.08326i | ||||
\(66\) | 10.6754 | − | 2.05751i | 1.31405 | − | 0.253262i | ||||
\(67\) | −3.06122 | + | 12.6185i | −0.373987 | + | 1.54160i | 0.404858 | + | 0.914380i | \(0.367321\pi\) |
−0.778845 | + | 0.627216i | \(0.784194\pi\) | |||||||
\(68\) | 2.54850 | + | 4.41413i | 0.309051 | + | 0.535292i | ||||
\(69\) | −1.00804 | + | 4.68869i | −0.121354 | + | 0.564452i | ||||
\(70\) | −16.5030 | + | 15.2705i | −1.97249 | + | 1.82518i | ||||
\(71\) | 11.3509 | − | 3.33294i | 1.34711 | − | 0.395547i | 0.472908 | − | 0.881112i | \(-0.343204\pi\) |
0.874201 | + | 0.485565i | \(0.161386\pi\) | |||||||
\(72\) | −1.22940 | + | 3.55211i | −0.144886 | + | 0.418620i | ||||
\(73\) | −0.447036 | − | 9.38445i | −0.0523216 | − | 1.09837i | −0.860507 | − | 0.509438i | \(-0.829853\pi\) |
0.808185 | − | 0.588928i | \(-0.200450\pi\) | |||||||
\(74\) | 0.539718 | + | 0.216070i | 0.0627409 | + | 0.0251177i | ||||
\(75\) | −0.376841 | + | 7.91087i | −0.0435139 | + | 0.913468i | ||||
\(76\) | −7.80046 | + | 17.0806i | −0.894774 | + | 1.95928i | ||||
\(77\) | −0.396901 | − | 12.1597i | −0.0452310 | − | 1.38572i | ||||
\(78\) | 1.78414 | − | 12.4090i | 0.202014 | − | 1.40504i | ||||
\(79\) | −4.84356 | + | 6.80183i | −0.544943 | + | 0.765266i | −0.991586 | − | 0.129446i | \(-0.958680\pi\) |
0.446643 | + | 0.894712i | \(0.352619\pi\) | |||||||
\(80\) | −4.44134 | + | 4.23481i | −0.496557 | + | 0.473466i | ||||
\(81\) | 0.723734 | − | 0.690079i | 0.0804149 | − | 0.0766754i | ||||
\(82\) | 9.23540 | − | 12.9693i | 1.01988 | − | 1.43222i | ||||
\(83\) | −0.423696 | + | 2.94687i | −0.0465067 | + | 0.323461i | 0.953266 | + | 0.302133i | \(0.0976986\pi\) |
−0.999773 | + | 0.0213283i | \(0.993210\pi\) | |||||||
\(84\) | 8.37591 | + | 4.47805i | 0.913887 | + | 0.488595i | ||||
\(85\) | 2.12007 | − | 4.64231i | 0.229954 | − | 0.503529i | ||||
\(86\) | 1.23775 | − | 25.9837i | 0.133471 | − | 2.80189i | ||||
\(87\) | 4.88276 | + | 1.95476i | 0.523487 | + | 0.209572i | ||||
\(88\) | −0.822432 | − | 17.2650i | −0.0876715 | − | 1.84045i | ||||
\(89\) | −1.06086 | + | 3.06514i | −0.112451 | + | 0.324904i | −0.987158 | − | 0.159747i | \(-0.948932\pi\) |
0.874708 | + | 0.484651i | \(0.161053\pi\) | |||||||
\(90\) | 8.15399 | − | 2.39423i | 0.859506 | − | 0.252374i | ||||
\(91\) | −13.4001 | − | 4.15350i | −1.40471 | − | 0.435405i | ||||
\(92\) | 16.1454 | + | 5.97728i | 1.68327 | + | 0.623175i | ||||
\(93\) | 2.38854 | + | 4.13707i | 0.247680 | + | 0.428994i | ||||
\(94\) | 4.44460 | − | 18.3209i | 0.458426 | − | 1.88966i | ||||
\(95\) | 18.4617 | − | 3.55820i | 1.89413 | − | 0.365063i | ||||
\(96\) | −3.09419 | − | 1.59516i | −0.315799 | − | 0.162806i | ||||
\(97\) | 0.806657 | + | 5.61042i | 0.0819036 | + | 0.569652i | 0.988908 | + | 0.148530i | \(0.0474543\pi\) |
−0.907004 | + | 0.421121i | \(0.861637\pi\) | |||||||
\(98\) | 9.99922 | − | 13.1878i | 1.01007 | − | 1.33217i | ||||
\(99\) | −1.91023 | + | 4.18282i | −0.191985 | + | 0.420390i | ||||
\(100\) | 27.9172 | + | 5.38060i | 2.79172 | + | 0.538060i | ||||
\(101\) | −1.54109 | − | 1.21192i | −0.153344 | − | 0.120591i | 0.538539 | − | 0.842600i | \(-0.318976\pi\) |
−0.691883 | + | 0.722009i | \(0.743219\pi\) | |||||||
\(102\) | −3.34171 | − | 0.319094i | −0.330878 | − | 0.0315950i | ||||
\(103\) | 1.68767 | + | 6.95666i | 0.166291 | + | 0.685460i | 0.992515 | + | 0.122119i | \(0.0389690\pi\) |
−0.826225 | + | 0.563341i | \(0.809516\pi\) | |||||||
\(104\) | −19.1238 | − | 5.61526i | −1.87524 | − | 0.550622i | ||||
\(105\) | −1.21234 | − | 9.43234i | −0.118312 | − | 0.920502i | ||||
\(106\) | 1.44807 | − | 10.0716i | 0.140649 | − | 0.978238i | ||||
\(107\) | −3.60801 | − | 0.695388i | −0.348800 | − | 0.0672257i | 0.0118424 | − | 0.999930i | \(-0.496230\pi\) |
−0.360642 | + | 0.932704i | \(0.617442\pi\) | |||||||
\(108\) | −2.08231 | − | 2.92420i | −0.200371 | − | 0.281381i | ||||
\(109\) | −6.20172 | + | 3.19721i | −0.594017 | + | 0.306237i | −0.728896 | − | 0.684625i | \(-0.759966\pi\) |
0.134878 | + | 0.990862i | \(0.456936\pi\) | |||||||
\(110\) | −30.7174 | + | 24.1564i | −2.92879 | + | 2.30322i | ||||
\(111\) | −0.206859 | + | 0.132940i | −0.0196342 | + | 0.0126181i | ||||
\(112\) | 2.67494 | − | 3.63985i | 0.252758 | − | 0.343934i | ||||
\(113\) | 2.36154 | − | 0.693412i | 0.222155 | − | 0.0652307i | −0.168761 | − | 0.985657i | \(-0.553976\pi\) |
0.390916 | + | 0.920426i | \(0.372158\pi\) | |||||||
\(114\) | −6.18347 | − | 10.7101i | −0.579135 | − | 1.00309i | ||||
\(115\) | −4.50200 | − | 16.6400i | −0.419814 | − | 1.55168i | ||||
\(116\) | 9.44040 | − | 16.3513i | 0.876519 | − | 1.51818i | ||||
\(117\) | 3.83758 | + | 3.65913i | 0.354785 | + | 0.338286i | ||||
\(118\) | −0.610167 | − | 0.704170i | −0.0561704 | − | 0.0648241i | ||||
\(119\) | −0.940190 | + | 3.63699i | −0.0861871 | + | 0.333402i | ||||
\(120\) | −1.92279 | − | 13.3733i | −0.175526 | − | 1.22081i | ||||
\(121\) | 0.482718 | − | 10.1335i | 0.0438835 | − | 0.921228i | ||||
\(122\) | 15.8150 | + | 22.2091i | 1.43182 | + | 2.01072i | ||||
\(123\) | 2.20254 | + | 6.36381i | 0.198596 | + | 0.573806i | ||||
\(124\) | 15.9205 | − | 6.37362i | 1.42971 | − | 0.572368i | ||||
\(125\) | −4.35983 | − | 9.54669i | −0.389955 | − | 0.853882i | ||||
\(126\) | −5.60223 | + | 2.78279i | −0.499086 | + | 0.247911i | ||||
\(127\) | −16.7512 | − | 4.91861i | −1.48643 | − | 0.436456i | −0.565031 | − | 0.825070i | \(-0.691136\pi\) |
−0.921401 | + | 0.388614i | \(0.872954\pi\) | |||||||
\(128\) | −11.9317 | + | 16.7557i | −1.05462 | + | 1.48101i | ||||
\(129\) | 8.64858 | + | 6.80132i | 0.761465 | + | 0.598823i | ||||
\(130\) | 14.7382 | + | 42.5833i | 1.29263 | + | 3.73480i | ||||
\(131\) | 11.4454 | − | 1.09291i | 0.999993 | − | 0.0954878i | 0.417801 | − | 0.908539i | \(-0.362801\pi\) |
0.582192 | + | 0.813051i | \(0.302195\pi\) | |||||||
\(132\) | 13.8869 | + | 8.92459i | 1.20870 | + | 0.776786i | ||||
\(133\) | −12.9234 | + | 4.95061i | −1.12060 | + | 0.429272i | ||||
\(134\) | −25.8257 | + | 16.5972i | −2.23100 | + | 1.43378i | ||||
\(135\) | −1.17562 | + | 3.39673i | −0.101181 | + | 0.292344i | ||||
\(136\) | −1.25823 | + | 5.18651i | −0.107893 | + | 0.444740i | ||||
\(137\) | −1.69472 | + | 2.93534i | −0.144790 | + | 0.250783i | −0.929294 | − | 0.369340i | \(-0.879584\pi\) |
0.784505 | + | 0.620123i | \(0.212917\pi\) | |||||||
\(138\) | −9.37468 | + | 6.37822i | −0.798026 | + | 0.542950i | ||||
\(139\) | 9.14918 | 0.776023 | 0.388012 | − | 0.921655i | \(-0.373162\pi\) | ||||
0.388012 | + | 0.921655i | \(0.373162\pi\) | |||||||
\(140\) | −34.1353 | − | 0.511069i | −2.88496 | − | 0.0431932i | ||||
\(141\) | 5.22173 | + | 6.02619i | 0.439749 | + | 0.507497i | ||||
\(142\) | 24.8606 | + | 12.8165i | 2.08625 | + | 1.07554i | ||||
\(143\) | −22.6362 | − | 9.06215i | −1.89293 | − | 0.757815i | ||||
\(144\) | −1.51750 | + | 0.782325i | −0.126458 | + | 0.0651937i | ||||
\(145\) | −18.8193 | + | 1.79702i | −1.56285 | + | 0.149235i | ||||
\(146\) | 14.5462 | − | 16.7872i | 1.20385 | − | 1.38932i | ||||
\(147\) | 2.09042 | + | 6.68058i | 0.172415 | + | 0.551005i | ||||
\(148\) | 0.366695 | + | 0.802949i | 0.0301421 | + | 0.0660020i | ||||
\(149\) | −0.628845 | − | 2.59214i | −0.0515170 | − | 0.212356i | 0.940235 | − | 0.340526i | \(-0.110605\pi\) |
−0.991752 | + | 0.128170i | \(0.959090\pi\) | |||||||
\(150\) | −13.5517 | + | 12.9216i | −1.10649 | + | 1.05504i | ||||
\(151\) | −19.0879 | − | 1.82268i | −1.55335 | − | 0.148327i | −0.717218 | − | 0.696849i | \(-0.754585\pi\) |
−0.836136 | + | 0.548522i | \(0.815191\pi\) | |||||||
\(152\) | −18.2531 | + | 7.30744i | −1.48052 | + | 0.592712i | ||||
\(153\) | 0.929798 | − | 1.07304i | 0.0751697 | − | 0.0867504i | ||||
\(154\) | 19.1599 | − | 21.4541i | 1.54395 | − | 1.72882i | ||||
\(155\) | −14.4450 | − | 9.28324i | −1.16025 | − | 0.745648i | ||||
\(156\) | 14.9626 | − | 11.7667i | 1.19796 | − | 0.942089i | ||||
\(157\) | 0.655682 | + | 13.7645i | 0.0523292 | + | 1.09852i | 0.860459 | + | 0.509520i | \(0.170177\pi\) |
−0.808130 | + | 0.589004i | \(0.799520\pi\) | |||||||
\(158\) | −19.3854 | + | 3.73622i | −1.54222 | + | 0.297238i | ||||
\(159\) | 3.11473 | + | 2.96988i | 0.247014 | + | 0.235527i | ||||
\(160\) | 12.5128 | 0.989222 | ||||||||
\(161\) | 5.40063 | + | 11.4819i | 0.425629 | + | 0.904898i | ||||
\(162\) | 2.36428 | 0.185756 | ||||||||
\(163\) | 2.56494 | + | 2.44567i | 0.200902 | + | 0.191559i | 0.783851 | − | 0.620949i | \(-0.213253\pi\) |
−0.582949 | + | 0.812509i | \(0.698101\pi\) | |||||||
\(164\) | 23.7378 | − | 4.57509i | 1.85361 | − | 0.357254i | ||||
\(165\) | −0.786456 | − | 16.5097i | −0.0612255 | − | 1.28528i | ||||
\(166\) | −5.53294 | + | 4.35115i | −0.429440 | + | 0.337715i | ||||
\(167\) | 12.0436 | + | 7.73998i | 0.931965 | + | 0.598938i | 0.916106 | − | 0.400936i | \(-0.131315\pi\) |
0.0158595 | + | 0.999874i | \(0.494952\pi\) | |||||||
\(168\) | 3.11162 | + | 9.44564i | 0.240067 | + | 0.728747i | ||||
\(169\) | −9.89904 | + | 11.4241i | −0.761464 | + | 0.878777i | ||||
\(170\) | 11.2018 | − | 4.48453i | 0.859139 | − | 0.343947i | ||||
\(171\) | 5.20705 | + | 0.497213i | 0.398193 | + | 0.0380228i | ||||
\(172\) | 28.5856 | − | 27.2563i | 2.17963 | − | 2.07827i | ||||
\(173\) | −1.35859 | − | 5.60017i | −0.103291 | − | 0.425773i | 0.896562 | − | 0.442919i | \(-0.146057\pi\) |
−0.999853 | + | 0.0171461i | \(0.994542\pi\) | |||||||
\(174\) | 5.16567 | + | 11.3113i | 0.391609 | + | 0.857504i | ||||
\(175\) | 11.8976 | + | 17.2486i | 0.899373 | + | 1.30387i | ||||
\(176\) | 5.14114 | − | 5.93319i | 0.387528 | − | 0.447231i | ||||
\(177\) | 0.392309 | − | 0.0374610i | 0.0294878 | − | 0.00281574i | ||||
\(178\) | −6.81616 | + | 3.51397i | −0.510893 | + | 0.263383i | ||||
\(179\) | −7.72182 | − | 3.09135i | −0.577156 | − | 0.231058i | 0.0646727 | − | 0.997907i | \(-0.479400\pi\) |
−0.641829 | + | 0.766848i | \(0.721824\pi\) | |||||||
\(180\) | 11.4690 | + | 5.91268i | 0.854848 | + | 0.440705i | ||||
\(181\) | −2.45428 | − | 2.83239i | −0.182425 | − | 0.210530i | 0.657170 | − | 0.753742i | \(-0.271753\pi\) |
−0.839595 | + | 0.543212i | \(0.817208\pi\) | |||||||
\(182\) | −16.1524 | − | 28.9699i | −1.19730 | − | 2.14739i | ||||
\(183\) | −11.5319 | −0.852460 | ||||||||
\(184\) | 7.91606 | + | 16.1957i | 0.583579 | + | 1.19396i | ||||
\(185\) | 0.441922 | − | 0.765431i | 0.0324907 | − | 0.0562756i | ||||
\(186\) | −2.66275 | + | 10.9760i | −0.195242 | + | 0.804799i | ||||
\(187\) | −2.13541 | + | 6.16986i | −0.156157 | + | 0.451185i | ||||
\(188\) | 24.0806 | − | 15.4757i | 1.75626 | − | 1.12868i | ||||
\(189\) | 0.415692 | − | 2.61289i | 0.0302371 | − | 0.190060i | ||||
\(190\) | 37.3954 | + | 24.0325i | 2.71294 | + | 1.74350i | ||||
\(191\) | 5.20166 | − | 0.496698i | 0.376379 | − | 0.0359398i | 0.0948474 | − | 0.995492i | \(-0.469764\pi\) |
0.281531 | + | 0.959552i | \(0.409158\pi\) | |||||||
\(192\) | −3.80872 | − | 11.0046i | −0.274871 | − | 0.794187i | ||||
\(193\) | 4.20486 | + | 3.30674i | 0.302672 | + | 0.238024i | 0.757930 | − | 0.652335i | \(-0.226211\pi\) |
−0.455258 | + | 0.890359i | \(0.650453\pi\) | |||||||
\(194\) | −7.77336 | + | 10.9162i | −0.558095 | + | 0.783735i | ||||
\(195\) | −18.2873 | − | 5.36963i | −1.30958 | − | 0.384527i | ||||
\(196\) | 24.8061 | − | 4.01486i | 1.77186 | − | 0.286775i | ||||
\(197\) | 2.53269 | + | 5.54583i | 0.180447 | + | 0.395124i | 0.978142 | − | 0.207937i | \(-0.0666749\pi\) |
−0.797695 | + | 0.603061i | \(0.793948\pi\) | |||||||
\(198\) | −10.0931 | + | 4.04066i | −0.717284 | + | 0.287157i | ||||
\(199\) | −4.19566 | − | 12.1226i | −0.297423 | − | 0.859347i | −0.990381 | − | 0.138369i | \(-0.955814\pi\) |
0.692958 | − | 0.720978i | \(-0.256307\pi\) | |||||||
\(200\) | 17.2680 | + | 24.2495i | 1.22103 | + | 1.71470i | ||||
\(201\) | 0.617828 | − | 12.9698i | 0.0435783 | − | 0.914820i | ||||
\(202\) | −0.659667 | − | 4.58809i | −0.0464140 | − | 0.322817i | ||||
\(203\) | 13.4089 | − | 3.72009i | 0.941118 | − | 0.261099i | ||||
\(204\) | −3.33783 | − | 3.85206i | −0.233695 | − | 0.269698i | ||||
\(205\) | −17.5183 | − | 16.7037i | −1.22353 | − | 1.16664i | ||||
\(206\) | −8.46230 | + | 14.6571i | −0.589596 | + | 1.02121i | ||||
\(207\) | 0.102486 | − | 4.79474i | 0.00712326 | − | 0.333257i | ||||
\(208\) | −4.52643 | − | 7.84000i | −0.313851 | − | 0.543606i | ||||
\(209\) | −23.0785 | + | 6.77647i | −1.59638 | + | 0.468738i | ||||
\(210\) | 13.3148 | − | 18.1178i | 0.918811 | − | 1.25025i | ||||
\(211\) | 20.8078 | − | 13.3724i | 1.43247 | − | 0.920592i | 0.432651 | − | 0.901562i | \(-0.357578\pi\) |
0.999819 | − | 0.0190307i | \(-0.00605803\pi\) | |||||||
\(212\) | 12.1442 | − | 9.55029i | 0.834066 | − | 0.655916i | ||||
\(213\) | −10.5151 | + | 5.42089i | −0.720479 | + | 0.371433i | ||||
\(214\) | −5.03917 | − | 7.07652i | −0.344470 | − | 0.483741i | ||||
\(215\) | −38.8330 | − | 7.48446i | −2.64839 | − | 0.510436i | ||||
\(216\) | 0.534939 | − | 3.72058i | 0.0363980 | − | 0.253154i | ||||
\(217\) | 11.6620 | + | 4.87255i | 0.791666 | + | 0.330770i | ||||
\(218\) | −15.8282 | − | 4.64759i | −1.07202 | − | 0.314775i | ||||
\(219\) | 2.21498 | + | 9.13026i | 0.149674 | + | 0.616966i | ||||
\(220\) | −59.0659 | − | 5.64011i | −3.98222 | − | 0.380256i | ||||
\(221\) | 5.91793 | + | 4.65391i | 0.398083 | + | 0.313056i | ||||
\(222\) | −0.570856 | − | 0.110024i | −0.0383134 | − | 0.00738429i | ||||
\(223\) | 1.00754 | − | 2.20621i | 0.0674701 | − | 0.147739i | −0.872893 | − | 0.487912i | \(-0.837759\pi\) |
0.940363 | + | 0.340174i | \(0.110486\pi\) | |||||||
\(224\) | −9.06895 | + | 1.60748i | −0.605945 | + | 0.107404i | ||||
\(225\) | −1.12711 | − | 7.83922i | −0.0751407 | − | 0.522615i | ||||
\(226\) | 5.17220 | + | 2.66646i | 0.344050 | + | 0.177370i | ||||
\(227\) | 24.7977 | − | 4.77936i | 1.64588 | − | 0.317217i | 0.719696 | − | 0.694289i | \(-0.244281\pi\) |
0.926184 | + | 0.377072i | \(0.123069\pi\) | |||||||
\(228\) | 4.42697 | − | 18.2482i | 0.293183 | − | 1.20852i | ||||
\(229\) | −12.2560 | − | 21.2280i | −0.809899 | − | 1.40279i | −0.912933 | − | 0.408109i | \(-0.866188\pi\) |
0.103034 | − | 0.994678i | \(-0.467145\pi\) | |||||||
\(230\) | 19.4454 | − | 35.8181i | 1.28219 | − | 2.36177i | ||||
\(231\) | 2.69096 | + | 11.8648i | 0.177052 | + | 0.780647i | ||||
\(232\) | 18.9688 | − | 5.56976i | 1.24537 | − | 0.365672i | ||||
\(233\) | −3.80538 | + | 10.9949i | −0.249299 | + | 0.720301i | 0.749032 | + | 0.662534i | \(0.230519\pi\) |
−0.998330 | + | 0.0577666i | \(0.981602\pi\) | |||||||
\(234\) | 0.596514 | + | 12.5224i | 0.0389953 | + | 0.818613i | ||||
\(235\) | −26.6081 | − | 10.6523i | −1.73572 | − | 0.694878i | ||||
\(236\) | 0.0673158 | − | 1.41313i | 0.00438189 | − | 0.0919871i | ||||
\(237\) | 3.46878 | − | 7.59557i | 0.225321 | − | 0.493385i | ||||
\(238\) | −7.54267 | + | 4.68933i | −0.488919 | + | 0.303964i | ||||
\(239\) | −0.225509 | + | 1.56845i | −0.0145870 | + | 0.101455i | −0.995814 | − | 0.0914005i | \(-0.970866\pi\) |
0.981227 | + | 0.192855i | \(0.0617748\pi\) | |||||||
\(240\) | 3.55964 | − | 4.99881i | 0.229774 | − | 0.322672i | ||||
\(241\) | −4.88511 | + | 4.65795i | −0.314678 | + | 0.300045i | −0.830913 | − | 0.556402i | \(-0.812181\pi\) |
0.516235 | + | 0.856447i | \(0.327333\pi\) | |||||||
\(242\) | 17.3592 | − | 16.5520i | 1.11589 | − | 1.06400i | ||||
\(243\) | −0.580057 | + | 0.814576i | −0.0372107 | + | 0.0522551i | ||||
\(244\) | −5.89149 | + | 40.9762i | −0.377164 | + | 2.62323i | ||||
\(245\) | −17.6819 | − | 17.9004i | −1.12965 | − | 1.14361i | ||||
\(246\) | −6.61405 | + | 14.4827i | −0.421696 | + | 0.923386i | ||||
\(247\) | −1.31972 | + | 27.7044i | −0.0839720 | + | 1.76279i | ||||
\(248\) | 16.6700 | + | 6.67367i | 1.05855 | + | 0.423779i | ||||
\(249\) | −0.141660 | − | 2.97380i | −0.00897732 | − | 0.188457i | ||||
\(250\) | 8.11568 | − | 23.4487i | 0.513281 | − | 1.48303i | ||||
\(251\) | 14.2795 | − | 4.19285i | 0.901316 | − | 0.264650i | 0.201934 | − | 0.979399i | \(-0.435277\pi\) |
0.699381 | + | 0.714749i | \(0.253459\pi\) | |||||||
\(252\) | −9.07202 | − | 2.81197i | −0.571484 | − | 0.177138i | ||||
\(253\) | 7.75689 | + | 20.6438i | 0.487672 | + | 1.29786i | ||||
\(254\) | −20.6383 | − | 35.7467i | −1.29496 | − | 2.24294i | ||||
\(255\) | −1.20320 | + | 4.95964i | −0.0753470 | + | 0.310585i | ||||
\(256\) | −24.8850 | + | 4.79619i | −1.55531 | + | 0.299762i | ||||
\(257\) | −1.28096 | − | 0.660381i | −0.0799041 | − | 0.0411934i | 0.417811 | − | 0.908534i | \(-0.362797\pi\) |
−0.497715 | + | 0.867340i | \(0.665828\pi\) | |||||||
\(258\) | 3.70206 | + | 25.7484i | 0.230480 | + | 1.60302i | ||||
\(259\) | −0.221961 | + | 0.611538i | −0.0137920 | + | 0.0379991i | ||||
\(260\) | −28.4227 | + | 62.2370i | −1.76270 | + | 3.85977i | ||||
\(261\) | −5.16446 | − | 0.995368i | −0.319672 | − | 0.0616118i | ||||
\(262\) | 21.3676 | + | 16.8037i | 1.32009 | + | 1.03813i | ||||
\(263\) | 1.25500 | + | 0.119838i | 0.0773864 | + | 0.00738950i | 0.133677 | − | 0.991025i | \(-0.457321\pi\) |
−0.0562910 | + | 0.998414i | \(0.517927\pi\) | |||||||
\(264\) | 4.07499 | + | 16.7973i | 0.250798 | + | 1.03380i | ||||
\(265\) | −14.8426 | − | 4.35819i | −0.911776 | − | 0.267722i | ||||
\(266\) | −30.1906 | − | 12.6141i | −1.85111 | − | 0.773421i | ||||
\(267\) | 0.461603 | − | 3.21052i | 0.0282496 | − | 0.196481i | ||||
\(268\) | −45.7700 | − | 8.82145i | −2.79585 | − | 0.538856i | ||||
\(269\) | −3.92622 | − | 5.51360i | −0.239386 | − | 0.336170i | 0.677353 | − | 0.735659i | \(-0.263127\pi\) |
−0.916738 | + | 0.399488i | \(0.869188\pi\) | |||||||
\(270\) | −7.55353 | + | 3.89411i | −0.459693 | + | 0.236988i | ||||
\(271\) | 13.9031 | − | 10.9335i | 0.844555 | − | 0.664166i | −0.0991066 | − | 0.995077i | \(-0.531598\pi\) |
0.943662 | + | 0.330911i | \(0.107356\pi\) | |||||||
\(272\) | −2.03926 | + | 1.31055i | −0.123648 | + | 0.0794640i | ||||
\(273\) | 13.9440 | + | 1.54246i | 0.843928 | + | 0.0933540i | ||||
\(274\) | −7.68899 | + | 2.25769i | −0.464509 | + | 0.136392i | ||||
\(275\) | 18.2092 | + | 31.5392i | 1.09805 | + | 1.90189i | ||||
\(276\) | −16.9848 | − | 2.81374i | −1.02236 | − | 0.169367i | ||||
\(277\) | 10.3645 | − | 17.9518i | 0.622740 | − | 1.07862i | −0.366234 | − | 0.930523i | \(-0.619353\pi\) |
0.988973 | − | 0.148094i | \(-0.0473138\pi\) | |||||||
\(278\) | 15.6553 | + | 14.9273i | 0.938941 | + | 0.895279i | ||||
\(279\) | −3.12832 | − | 3.61027i | −0.187288 | − | 0.216141i | ||||
\(280\) | −25.4987 | − | 25.0523i | −1.52384 | − | 1.49716i | ||||
\(281\) | 1.84712 | + | 12.8470i | 0.110190 | + | 0.766387i | 0.967734 | + | 0.251976i | \(0.0810804\pi\) |
−0.857544 | + | 0.514411i | \(0.828011\pi\) | |||||||
\(282\) | −0.897030 | + | 18.8310i | −0.0534174 | + | 1.12137i | ||||
\(283\) | −7.00736 | − | 9.84046i | −0.416544 | − | 0.584955i | 0.551985 | − | 0.833854i | \(-0.313871\pi\) |
−0.968529 | + | 0.248899i | \(0.919931\pi\) | |||||||
\(284\) | 13.8900 | + | 40.1326i | 0.824222 | + | 2.38143i | ||||
\(285\) | −17.4547 | + | 6.98779i | −1.03392 | + | 0.413921i | ||||
\(286\) | −23.9477 | − | 52.4382i | −1.41606 | − | 3.10074i | ||||
\(287\) | 14.8427 | + | 9.85589i | 0.876138 | + | 0.581775i | ||||
\(288\) | 3.34016 | + | 0.980759i | 0.196821 | + | 0.0577918i | ||||
\(289\) | −8.69160 | + | 12.2056i | −0.511271 | + | 0.717979i | ||||
\(290\) | −35.1338 | − | 27.6295i | −2.06313 | − | 1.62246i | ||||
\(291\) | −1.85386 | − | 5.35637i | −0.108675 | − | 0.313996i | ||||
\(292\) | 33.5742 | − | 3.20595i | 1.96478 | − | 0.187614i | ||||
\(293\) | −10.0682 | − | 6.47044i | −0.588191 | − | 0.378007i | 0.212432 | − | 0.977176i | \(-0.431862\pi\) |
−0.800623 | + | 0.599169i | \(0.795498\pi\) | |||||||
\(294\) | −7.32272 | + | 14.8418i | −0.427070 | + | 0.865594i | ||||
\(295\) | −1.19167 | + | 0.765838i | −0.0693816 | + | 0.0445888i | ||||
\(296\) | −0.302301 | + | 0.873440i | −0.0175709 | + | 0.0507677i | ||||
\(297\) | 1.08411 | − | 4.46875i | 0.0629062 | − | 0.259303i | ||||
\(298\) | 3.15316 | − | 5.46143i | 0.182657 | − | 0.316372i | ||||
\(299\) | 25.4210 | − | 0.666908i | 1.47014 | − | 0.0385683i | ||||
\(300\) | −28.4310 | −1.64146 | ||||||||
\(301\) | 29.1067 | + | 0.435781i | 1.67768 | + | 0.0251180i | ||||
\(302\) | −29.6878 | − | 34.2616i | −1.70834 | − | 1.97153i | ||||
\(303\) | 1.74259 | + | 0.898370i | 0.100109 | + | 0.0516100i | ||||
\(304\) | −8.29067 | − | 3.31908i | −0.475502 | − | 0.190362i | ||||
\(305\) | 36.8425 | − | 18.9936i | 2.10960 | − | 1.08757i | ||||
\(306\) | 3.34171 | − | 0.319094i | 0.191033 | − | 0.0182414i | ||||
\(307\) | −4.72351 | + | 5.45122i | −0.269585 | + | 0.311118i | −0.874359 | − | 0.485279i | \(-0.838718\pi\) |
0.604774 | + | 0.796397i | \(0.293263\pi\) | |||||||
\(308\) | 43.5341 | − | 3.50021i | 2.48058 | − | 0.199443i | ||||
\(309\) | −2.97373 | − | 6.51155i | −0.169169 | − | 0.370429i | ||||
\(310\) | −9.57103 | − | 39.4523i | −0.543598 | − | 2.24074i | ||||
\(311\) | −12.4502 | + | 11.8713i | −0.705987 | + | 0.673157i | −0.955425 | − | 0.295234i | \(-0.904602\pi\) |
0.249438 | + | 0.968391i | \(0.419754\pi\) | |||||||
\(312\) | 19.8409 | + | 1.89458i | 1.12327 | + | 0.107259i | ||||
\(313\) | −13.7279 | + | 5.49583i | −0.775948 | + | 0.310643i | −0.725625 | − | 0.688090i | \(-0.758449\pi\) |
−0.0503230 | + | 0.998733i | \(0.516025\pi\) | |||||||
\(314\) | −21.3354 | + | 24.6223i | −1.20403 | + | 1.38952i | ||||
\(315\) | 2.97551 | + | 9.03245i | 0.167651 | + | 0.508921i | ||||
\(316\) | −25.2172 | − | 16.2061i | −1.41858 | − | 0.911665i | ||||
\(317\) | −8.22227 | + | 6.46606i | −0.461809 | + | 0.363170i | −0.821791 | − | 0.569789i | \(-0.807025\pi\) |
0.359983 | + | 0.932959i | \(0.382783\pi\) | |||||||
\(318\) | 0.484153 | + | 10.1636i | 0.0271499 | + | 0.569947i | ||||
\(319\) | 23.7481 | − | 4.57707i | 1.32964 | − | 0.256267i | ||||
\(320\) | 30.2935 | + | 28.8848i | 1.69346 | + | 1.61471i | ||||
\(321\) | 3.67442 | 0.205086 | ||||||||
\(322\) | −9.49208 | + | 28.4581i | −0.528973 | + | 1.58591i | ||||
\(323\) | 7.42680 | 0.413238 | ||||||||
\(324\) | 2.59809 | + | 2.47728i | 0.144338 | + | 0.137626i | ||||
\(325\) | 41.2358 | − | 7.94756i | 2.28735 | − | 0.440851i | ||||
\(326\) | 0.398695 | + | 8.36963i | 0.0220817 | + | 0.463551i | ||||
\(327\) | 5.48457 | − | 4.31312i | 0.303298 | − | 0.238516i | ||||
\(328\) | 21.2944 | + | 13.6851i | 1.17579 | + | 0.755634i | ||||
\(329\) | 20.6533 | + | 4.30224i | 1.13866 | + | 0.237190i | ||||
\(330\) | 25.5906 | − | 29.5332i | 1.40872 | − | 1.62575i | ||||
\(331\) | −26.2584 | + | 10.5123i | −1.44329 | + | 0.577807i | −0.955458 | − | 0.295128i | \(-0.904638\pi\) |
−0.487835 | + | 0.872936i | \(0.662213\pi\) | |||||||
\(332\) | −10.6392 | − | 1.01592i | −0.583902 | − | 0.0557559i | ||||
\(333\) | 0.177961 | − | 0.169686i | 0.00975223 | − | 0.00929873i | ||||
\(334\) | 7.97993 | + | 32.8937i | 0.436642 | + | 1.79986i | ||||
\(335\) | 19.3882 | + | 42.4542i | 1.05929 | + | 2.31952i | ||||
\(336\) | −1.93775 | + | 4.08031i | −0.105713 | + | 0.222599i | ||||
\(337\) | −1.64029 | + | 1.89299i | −0.0893522 | + | 0.103118i | −0.798665 | − | 0.601776i | \(-0.794460\pi\) |
0.709313 | + | 0.704894i | \(0.249005\pi\) | |||||||
\(338\) | −35.5773 | + | 3.39722i | −1.93515 | + | 0.184784i | ||||
\(339\) | −2.18764 | + | 1.12781i | −0.118816 | + | 0.0612540i | ||||
\(340\) | 17.0084 | + | 6.80914i | 0.922410 | + | 0.369277i | ||||
\(341\) | 19.5248 | + | 10.0658i | 1.05733 | + | 0.545091i | ||||
\(342\) | 8.09863 | + | 9.34631i | 0.437923 | + | 0.505391i | ||||
\(343\) | 15.1150 | + | 10.7022i | 0.816132 | + | 0.577865i | ||||
\(344\) | 41.3568 | 2.22981 | ||||||||
\(345\) | 7.56978 | + | 15.4872i | 0.407543 | + | 0.833805i | ||||
\(346\) | 6.81222 | − | 11.7991i | 0.366227 | − | 0.634324i | ||||
\(347\) | −3.96295 | + | 16.3355i | −0.212743 | + | 0.876937i | 0.760902 | + | 0.648867i | \(0.224757\pi\) |
−0.973645 | + | 0.228070i | \(0.926758\pi\) | |||||||
\(348\) | −6.17531 | + | 17.8424i | −0.331031 | + | 0.956452i | ||||
\(349\) | −3.47204 | + | 2.23135i | −0.185854 | + | 0.119441i | −0.630259 | − | 0.776385i | \(-0.717051\pi\) |
0.444405 | + | 0.895826i | \(0.353415\pi\) | |||||||
\(350\) | −7.78372 | + | 48.9257i | −0.416057 | + | 2.61519i | ||||
\(351\) | −4.46073 | − | 2.86673i | −0.238096 | − | 0.153015i | ||||
\(352\) | −15.9352 | + | 1.52163i | −0.849350 | + | 0.0811031i | ||||
\(353\) | 5.30150 | + | 15.3177i | 0.282170 | + | 0.815278i | 0.993644 | + | 0.112565i | \(0.0359068\pi\) |
−0.711474 | + | 0.702713i | \(0.751972\pi\) | |||||||
\(354\) | 0.732405 | + | 0.575970i | 0.0389269 | + | 0.0306124i | ||||
\(355\) | 24.6655 | − | 34.6378i | 1.30911 | − | 1.83838i | ||||
\(356\) | −11.1721 | − | 3.28043i | −0.592121 | − | 0.173863i | ||||
\(357\) | 0.234896 | − | 3.74919i | 0.0124320 | − | 0.198428i | ||||
\(358\) | −8.16924 | − | 17.8881i | −0.431758 | − | 0.945417i | ||||
\(359\) | 31.2091 | − | 12.4942i | 1.64715 | − | 0.659421i | 0.652042 | − | 0.758183i | \(-0.273913\pi\) |
0.995111 | + | 0.0987624i | \(0.0314884\pi\) | |||||||
\(360\) | 4.41897 | + | 12.7678i | 0.232900 | + | 0.672920i | ||||
\(361\) | 4.84960 | + | 6.81032i | 0.255242 | + | 0.358438i | ||||
\(362\) | 0.421615 | − | 8.85080i | 0.0221596 | − | 0.465188i | ||||
\(363\) | 1.44378 | + | 10.0417i | 0.0757790 | + | 0.527054i | ||||
\(364\) | 12.6046 | − | 48.7592i | 0.660663 | − | 2.55567i | ||||
\(365\) | −22.1146 | − | 25.5216i | −1.15753 | − | 1.33586i | ||||
\(366\) | −19.7323 | − | 18.8147i | −1.03142 | − | 0.983462i | ||||
\(367\) | −10.6663 | + | 18.4746i | −0.556776 | + | 0.964364i | 0.440987 | + | 0.897513i | \(0.354628\pi\) |
−0.997763 | + | 0.0668506i | \(0.978705\pi\) | |||||||
\(368\) | −2.47415 | + | 7.80511i | −0.128974 | + | 0.406869i | ||||
\(369\) | −3.36709 | − | 5.83198i | −0.175284 | − | 0.303601i | ||||
\(370\) | 2.00501 | − | 0.588725i | 0.104236 | − | 0.0306063i | ||||
\(371\) | 11.3175 | + | 1.25192i | 0.587573 | + | 0.0649964i | ||||
\(372\) | −14.4266 | + | 9.27142i | −0.747985 | + | 0.480701i | ||||
\(373\) | −7.20340 | + | 5.66481i | −0.372978 | + | 0.293313i | −0.786999 | − | 0.616954i | \(-0.788366\pi\) |
0.414021 | + | 0.910267i | \(0.364124\pi\) | |||||||
\(374\) | −13.7203 | + | 7.07332i | −0.709461 | + | 0.365753i | ||||
\(375\) | 6.08776 | + | 8.54907i | 0.314371 | + | 0.441472i | ||||
\(376\) | 29.4306 | + | 5.67228i | 1.51777 | + | 0.292526i | ||||
\(377\) | 3.96893 | − | 27.6045i | 0.204411 | − | 1.42171i | ||||
\(378\) | 4.97434 | − | 3.79273i | 0.255852 | − | 0.195077i | ||||
\(379\) | −14.5596 | − | 4.27507i | −0.747875 | − | 0.219596i | −0.114481 | − | 0.993425i | \(-0.536520\pi\) |
−0.633394 | + | 0.773830i | \(0.718339\pi\) | |||||||
\(380\) | 15.9124 | + | 65.5917i | 0.816287 | + | 3.36478i | ||||
\(381\) | 17.3794 | + | 1.65953i | 0.890372 | + | 0.0850202i | ||||
\(382\) | 9.71101 | + | 7.63683i | 0.496859 | + | 0.390734i | ||||
\(383\) | −15.7733 | − | 3.04006i | −0.805980 | − | 0.155340i | −0.230411 | − | 0.973093i | \(-0.574007\pi\) |
−0.575568 | + | 0.817754i | \(0.695219\pi\) | |||||||
\(384\) | 8.54504 | − | 18.7110i | 0.436062 | − | 0.954843i | ||||
\(385\) | −28.1392 | − | 33.4741i | −1.43411 | − | 1.70600i | ||||
\(386\) | 1.79990 | + | 12.5186i | 0.0916127 | + | 0.637180i | ||||
\(387\) | −9.77945 | − | 5.04166i | −0.497117 | − | 0.256282i | ||||
\(388\) | −19.9799 | + | 3.85082i | −1.01433 | + | 0.195496i | ||||
\(389\) | −7.14836 | + | 29.4660i | −0.362436 | + | 1.49398i | 0.440410 | + | 0.897797i | \(0.354833\pi\) |
−0.802846 | + | 0.596186i | \(0.796682\pi\) | |||||||
\(390\) | −22.5308 | − | 39.0245i | −1.14089 | − | 1.97608i | ||||
\(391\) | −0.502264 | − | 6.79077i | −0.0254006 | − | 0.343424i | ||||
\(392\) | 21.6992 | + | 14.8816i | 1.09597 | + | 0.751632i | ||||
\(393\) | −11.0318 | + | 3.23922i | −0.556479 | + | 0.163397i | ||||
\(394\) | −4.71453 | + | 13.6217i | −0.237515 | + | 0.686253i | ||||
\(395\) | 1.42812 | + | 29.9799i | 0.0718565 | + | 1.50845i | ||||
\(396\) | −15.3250 | − | 6.13519i | −0.770108 | − | 0.308305i | ||||
\(397\) | −0.109786 | + | 2.30468i | −0.00550998 | + | 0.115669i | 0.994437 | + | 0.105336i | \(0.0335919\pi\) |
−0.999947 | + | 0.0103322i | \(0.996711\pi\) | |||||||
\(398\) | 12.5992 | − | 27.5885i | 0.631543 | − | 1.38289i | ||||
\(399\) | 11.7530 | − | 7.30692i | 0.588386 | − | 0.365804i | ||||
\(400\) | −1.92430 | + | 13.3838i | −0.0962151 | + | 0.669191i | ||||
\(401\) | −2.68224 | + | 3.76667i | −0.133944 | + | 0.188099i | −0.876101 | − | 0.482128i | \(-0.839864\pi\) |
0.742156 | + | 0.670227i | \(0.233803\pi\) | |||||||
\(402\) | 22.2180 | − | 21.1848i | 1.10813 | − | 1.05660i | ||||
\(403\) | 18.3324 | − | 17.4799i | 0.913203 | − | 0.870737i | ||||
\(404\) | 4.08245 | − | 5.73300i | 0.203110 | − | 0.285228i | ||||
\(405\) | 0.511539 | − | 3.55783i | 0.0254186 | − | 0.176790i | ||||
\(406\) | 29.0136 | + | 15.5117i | 1.43992 | + | 0.769831i | ||||
\(407\) | −0.469713 | + | 1.02853i | −0.0232828 | + | 0.0509823i | ||||
\(408\) | 0.253943 | − | 5.33091i | 0.0125720 | − | 0.263919i | ||||
\(409\) | 33.3801 | + | 13.3634i | 1.65054 | + | 0.660776i | 0.995495 | − | 0.0948161i | \(-0.0302263\pi\) |
0.655043 | + | 0.755592i | \(0.272651\pi\) | |||||||
\(410\) | −2.72305 | − | 57.1638i | −0.134482 | − | 2.82312i | ||||
\(411\) | 1.10858 | − | 3.20302i | 0.0546820 | − | 0.157993i | ||||
\(412\) | −24.6568 | + | 7.23988i | −1.21475 | + | 0.356683i | ||||
\(413\) | 0.765306 | − | 0.708150i | 0.0376582 | − | 0.0348458i | ||||
\(414\) | 7.99819 | − | 8.03713i | 0.393089 | − | 0.395003i | ||||
\(415\) | 5.35061 | + | 9.26752i | 0.262651 | + | 0.454925i | ||||
\(416\) | −4.35183 | + | 17.9385i | −0.213366 | + | 0.879507i | ||||
\(417\) | −8.98384 | + | 1.73149i | −0.439941 | + | 0.0847916i | ||||
\(418\) | −50.5461 | − | 26.0583i | −2.47229 | − | 1.27455i | ||||
\(419\) | −2.45000 | − | 17.0401i | −0.119690 | − | 0.832463i | −0.957897 | − | 0.287111i | \(-0.907305\pi\) |
0.838207 | − | 0.545352i | \(-0.183604\pi\) | |||||||
\(420\) | 33.6152 | − | 5.95832i | 1.64025 | − | 0.290736i | ||||
\(421\) | −4.75250 | + | 10.4065i | −0.231623 | + | 0.507183i | −0.989380 | − | 0.145354i | \(-0.953568\pi\) |
0.757757 | + | 0.652537i | \(0.226295\pi\) | |||||||
\(422\) | 57.4222 | + | 11.0672i | 2.79527 | + | 0.538744i | ||||
\(423\) | −6.26783 | − | 4.92907i | −0.304752 | − | 0.239660i | ||||
\(424\) | 16.1036 | + | 1.53771i | 0.782062 | + | 0.0746778i | ||||
\(425\) | −2.65109 | − | 10.9279i | −0.128597 | − | 0.530082i | ||||
\(426\) | −26.8369 | − | 7.88001i | −1.30025 | − | 0.381788i | ||||
\(427\) | −24.2625 | + | 18.4992i | −1.17414 | + | 0.895237i | ||||
\(428\) | 1.87721 | − | 13.0563i | 0.0907386 | − | 0.631101i | ||||
\(429\) | 23.9421 | + | 4.61446i | 1.15594 | + | 0.222788i | ||||
\(430\) | −54.2365 | − | 76.1645i | −2.61552 | − | 3.67298i | ||||
\(431\) | 0.255515 | − | 0.131727i | 0.0123077 | − | 0.00634507i | −0.452062 | − | 0.891987i | \(-0.649311\pi\) |
0.464369 | + | 0.885642i | \(0.346281\pi\) | |||||||
\(432\) | 1.34202 | − | 1.05538i | 0.0645679 | − | 0.0507768i | ||||
\(433\) | −20.8629 | + | 13.4078i | −1.00261 | + | 0.644338i | −0.935470 | − | 0.353406i | \(-0.885023\pi\) |
−0.0671390 | + | 0.997744i | \(0.521387\pi\) | |||||||
\(434\) | 12.0052 | + | 27.3645i | 0.576266 | + | 1.31354i | ||||
\(435\) | 18.1391 | − | 5.32612i | 0.869703 | − | 0.255368i | ||||
\(436\) | −12.5238 | − | 21.6919i | −0.599782 | − | 1.03885i | ||||
\(437\) | 19.3052 | − | 16.0188i | 0.923495 | − | 0.766281i | ||||
\(438\) | −11.1063 | + | 19.2367i | −0.530681 | + | 0.919167i | ||||
\(439\) | −12.6007 | − | 12.0148i | −0.601400 | − | 0.573434i | 0.326996 | − | 0.945026i | \(-0.393964\pi\) |
−0.928396 | + | 0.371592i | \(0.878812\pi\) | |||||||
\(440\) | −40.6851 | − | 46.9531i | −1.93959 | − | 2.23840i | ||||
\(441\) | −3.31695 | − | 6.16424i | −0.157950 | − | 0.293535i | ||||
\(442\) | 2.53319 | + | 17.6187i | 0.120492 | + | 0.838038i | ||||
\(443\) | −0.730852 | + | 15.3425i | −0.0347238 | + | 0.728942i | 0.912636 | + | 0.408773i | \(0.134043\pi\) |
−0.947360 | + | 0.320170i | \(0.896260\pi\) | |||||||
\(444\) | −0.512027 | − | 0.719042i | −0.0242997 | − | 0.0341242i | ||||
\(445\) | 3.81316 | + | 11.0174i | 0.180761 | + | 0.522275i | ||||
\(446\) | 5.32355 | − | 2.13123i | 0.252078 | − | 0.100917i | ||||
\(447\) | 1.10805 | + | 2.42628i | 0.0524088 | + | 0.114759i | ||||
\(448\) | −25.6667 | − | 17.0432i | −1.21264 | − | 0.805217i | ||||
\(449\) | −36.9601 | − | 10.8525i | −1.74425 | − | 0.512159i | −0.754669 | − | 0.656106i | \(-0.772202\pi\) |
−0.989585 | + | 0.143947i | \(0.954021\pi\) | |||||||
\(450\) | 10.8614 | − | 15.2527i | 0.512012 | − | 0.719021i | ||||
\(451\) | 24.3411 | + | 19.1421i | 1.14618 | + | 0.901366i | ||||
\(452\) | 2.88980 | + | 8.34953i | 0.135925 | + | 0.392729i | ||||
\(453\) | 19.0879 | − | 1.82268i | 0.896829 | − | 0.0856368i | ||||
\(454\) | 50.2294 | + | 32.2805i | 2.35738 | + | 1.51500i | ||||
\(455\) | −47.0894 | + | 18.0386i | −2.20758 | + | 0.845663i | ||||
\(456\) | 16.5403 | − | 10.6298i | 0.774571 | − | 0.497786i | ||||
\(457\) | −4.46231 | + | 12.8930i | −0.208738 | + | 0.603109i | −0.999965 | − | 0.00841432i | \(-0.997322\pi\) |
0.791227 | + | 0.611523i | \(0.209443\pi\) | |||||||
\(458\) | 13.6630 | − | 56.3197i | 0.638431 | − | 2.63165i | ||||
\(459\) | −0.709920 | + | 1.22962i | −0.0331362 | + | 0.0573936i | ||||
\(460\) | 58.8982 | − | 18.9855i | 2.74614 | − | 0.885203i | ||||
\(461\) | −4.94086 | −0.230119 | −0.115059 | − | 0.993359i | \(-0.536706\pi\) | ||||
−0.115059 | + | 0.993359i | \(0.536706\pi\) | |||||||
\(462\) | −14.7534 | + | 24.6925i | −0.686391 | + | 1.14880i | ||||
\(463\) | −20.1701 | − | 23.2776i | −0.937385 | − | 1.08180i | −0.996504 | − | 0.0835487i | \(-0.973375\pi\) |
0.0591190 | − | 0.998251i | \(-0.481171\pi\) | |||||||
\(464\) | 7.98129 | + | 4.11464i | 0.370522 | + | 0.191017i | ||||
\(465\) | 15.9408 | + | 6.38174i | 0.739238 | + | 0.295946i | ||||
\(466\) | −24.4501 | + | 12.6049i | −1.13263 | + | 0.583911i | ||||
\(467\) | −41.0460 | + | 3.91942i | −1.89938 | + | 0.181369i | −0.978187 | − | 0.207726i | \(-0.933394\pi\) |
−0.921198 | + | 0.389095i | \(0.872788\pi\) | |||||||
\(468\) | −12.4653 | + | 14.3857i | −0.576209 | + | 0.664981i | ||||
\(469\) | −19.5060 | − | 28.2790i | −0.900704 | − | 1.30580i | ||||
\(470\) | −28.1498 | − | 61.6395i | −1.29845 | − | 2.84322i | ||||
\(471\) | −3.24878 | − | 13.3916i | −0.149696 | − | 0.617054i | ||||
\(472\) | 1.07209 | − | 1.02224i | 0.0493471 | − | 0.0470524i | ||||
\(473\) | 50.3646 | + | 4.80924i | 2.31577 | + | 0.221129i | ||||
\(474\) | 18.3280 | − | 7.33741i | 0.841831 | − | 0.337018i | ||||
\(475\) | 27.1286 | − | 31.3081i | 1.24475 | − | 1.43651i | ||||
\(476\) | −13.2020 | − | 2.75007i | −0.605113 | − | 0.126049i | ||||
\(477\) | −3.62049 | − | 2.32675i | −0.165771 | − | 0.106535i | ||||
\(478\) | −2.94487 | + | 2.31587i | −0.134695 | + | 0.105925i | ||||
\(479\) | −2.04555 | − | 42.9415i | −0.0934637 | − | 1.96205i | −0.234696 | − | 0.972069i | \(-0.575410\pi\) |
0.141232 | − | 0.989976i | \(-0.454894\pi\) | |||||||
\(480\) | −12.2867 | + | 2.36806i | −0.560807 | + | 0.108087i | ||||
\(481\) | 0.943636 | + | 0.899755i | 0.0430261 | + | 0.0410253i | ||||
\(482\) | −15.9586 | −0.726896 | ||||||||
\(483\) | −7.47599 | − | 10.2523i | −0.340169 | − | 0.466496i | ||||
\(484\) | 36.4190 | 1.65541 | ||||||||
\(485\) | 14.7450 | + | 14.0594i | 0.669538 | + | 0.638403i | ||||
\(486\) | −2.32156 | + | 0.447444i | −0.105308 | + | 0.0202965i | ||||
\(487\) | 0.0424943 | + | 0.892064i | 0.00192560 | + | 0.0404233i | 0.999626 | − | 0.0273605i | \(-0.00871021\pi\) |
−0.997700 | + | 0.0677838i | \(0.978407\pi\) | |||||||
\(488\) | −34.0726 | + | 26.7950i | −1.54239 | + | 1.21295i | ||||
\(489\) | −2.98144 | − | 1.91605i | −0.134825 | − | 0.0866469i | ||||
\(490\) | −1.05040 | − | 59.4783i | −0.0474525 | − | 2.68696i | ||||
\(491\) | −0.352585 | + | 0.406904i | −0.0159119 | + | 0.0183633i | −0.763650 | − | 0.645631i | \(-0.776595\pi\) |
0.747738 | + | 0.663994i | \(0.231140\pi\) | |||||||
\(492\) | −22.4430 | + | 8.98482i | −1.01181 | + | 0.405067i | ||||
\(493\) | −7.43385 | − | 0.709846i | −0.334804 | − | 0.0319699i | ||||
\(494\) | −47.4592 | + | 45.2522i | −2.13529 | + | 2.03599i | ||||
\(495\) | 3.89673 | + | 16.0625i | 0.175145 | + | 0.721958i | ||||
\(496\) | 3.38806 | + | 7.41882i | 0.152128 | + | 0.333115i | ||||
\(497\) | −13.4271 | + | 28.2733i | −0.602287 | + | 1.26823i | ||||
\(498\) | 4.60949 | − | 5.31964i | 0.206556 | − | 0.238379i | ||||
\(499\) | 35.2923 | − | 3.37001i | 1.57990 | − | 0.150862i | 0.732108 | − | 0.681189i | \(-0.238537\pi\) |
0.847794 | + | 0.530326i | \(0.177931\pi\) | |||||||
\(500\) | 33.4876 | − | 17.2641i | 1.49761 | − | 0.772072i | ||||
\(501\) | −13.2908 | − | 5.32084i | −0.593789 | − | 0.237717i | ||||
\(502\) | 31.2747 | + | 16.1232i | 1.39586 | + | 0.719615i | ||||
\(503\) | −13.5170 | − | 15.5994i | −0.602692 | − | 0.695544i | 0.369632 | − | 0.929178i | \(-0.379484\pi\) |
−0.972325 | + | 0.233634i | \(0.924938\pi\) | |||||||
\(504\) | −4.84299 | − | 8.68606i | −0.215724 | − | 0.386908i | ||||
\(505\) | −7.04699 | −0.313587 | ||||||||
\(506\) | −20.4083 | + | 47.9796i | −0.907260 | + | 2.13295i | ||||
\(507\) | 7.55812 | − | 13.0911i | 0.335668 | − | 0.581394i | ||||
\(508\) | 14.7757 | − | 60.9063i | 0.655566 | − | 2.70228i | ||||
\(509\) | 7.54826 | − | 21.8093i | 0.334571 | − | 0.966679i | −0.644755 | − | 0.764389i | \(-0.723041\pi\) |
0.979326 | − | 0.202290i | \(-0.0648383\pi\) | |||||||
\(510\) | −10.1507 | + | 6.52344i | −0.449479 | + | 0.288863i | ||||
\(511\) | 19.3068 | + | 15.6564i | 0.854081 | + | 0.692598i | ||||
\(512\) | −15.7972 | − | 10.1523i | −0.698146 | − | 0.448671i | ||||
\(513\) | −5.20705 | + | 0.497213i | −0.229897 | + | 0.0219525i | ||||
\(514\) | −1.11443 | − | 3.21993i | −0.0491553 | − | 0.142025i | ||||
\(515\) | 20.2255 | + | 15.9055i | 0.891242 | + | 0.700880i | ||||
\(516\) | −22.9107 | + | 32.1736i | −1.00859 | + | 1.41636i | ||||
\(517\) | 35.1812 | + | 10.3301i | 1.54727 | + | 0.454319i | ||||
\(518\) | −1.37755 | + | 0.684271i | −0.0605261 | + | 0.0300651i | ||||
\(519\) | 2.39387 | + | 5.24185i | 0.105079 | + | 0.230092i | ||||
\(520\) | −66.5092 | + | 26.6263i | −2.91662 | + | 1.16764i | ||||
\(521\) | 0.311158 | + | 0.899031i | 0.0136321 | + | 0.0393872i | 0.951612 | − | 0.307303i | \(-0.0994266\pi\) |
−0.937980 | + | 0.346691i | \(0.887305\pi\) | |||||||
\(522\) | −7.21299 | − | 10.1292i | −0.315704 | − | 0.443344i | ||||
\(523\) | −1.78153 | + | 37.3990i | −0.0779010 | + | 1.63534i | 0.534764 | + | 0.845001i | \(0.320400\pi\) |
−0.612665 | + | 0.790342i | \(0.709903\pi\) | |||||||
\(524\) | 5.87394 | + | 40.8541i | 0.256604 | + | 1.78472i | ||||
\(525\) | −14.9469 | − | 14.6853i | −0.652336 | − | 0.640917i | ||||
\(526\) | 1.95192 | + | 2.25264i | 0.0851078 | + | 0.0982196i | ||||
\(527\) | −4.90886 | − | 4.68059i | −0.213833 | − | 0.203890i | ||||
\(528\) | −3.92537 | + | 6.79894i | −0.170830 | + | 0.295886i | ||||
\(529\) | −15.9525 | − | 16.5686i | −0.693586 | − | 0.720374i | ||||
\(530\) | −18.2869 | − | 31.6738i | −0.794330 | − | 1.37582i | ||||
\(531\) | −0.378130 | + | 0.111029i | −0.0164095 | + | 0.00481825i | ||||
\(532\) | −19.9592 | − | 45.4950i | −0.865343 | − | 1.97246i | ||||
\(533\) | 30.0394 | − | 19.3051i | 1.30115 | − | 0.836198i | ||||
\(534\) | 6.02796 | − | 4.74044i | 0.260855 | − | 0.205139i | ||||
\(535\) | −11.7392 | + | 6.05197i | −0.507530 | + | 0.261650i | ||||
\(536\) | −28.3107 | − | 39.7568i | −1.22284 | − | 1.71723i | ||||
\(537\) | 8.16732 | + | 1.57412i | 0.352446 | + | 0.0679284i | ||||
\(538\) | 2.27748 | − | 15.8402i | 0.0981889 | − | 0.682919i | ||||
\(539\) | 24.6949 | + | 20.6462i | 1.06369 | + | 0.889295i | ||||
\(540\) | −12.3807 | − | 3.63531i | −0.532781 | − | 0.156439i | ||||
\(541\) | 4.78636 | + | 19.7297i | 0.205782 | + | 0.848244i | 0.977270 | + | 0.212000i | \(0.0679977\pi\) |
−0.771488 | + | 0.636244i | \(0.780487\pi\) | |||||||
\(542\) | 41.6284 | + | 3.97503i | 1.78809 | + | 0.170742i | ||||
\(543\) | 2.94596 | + | 2.31673i | 0.126423 | + | 0.0994203i | ||||
\(544\) | 4.85338 | + | 0.935413i | 0.208087 | + | 0.0401055i | ||||
\(545\) | −10.4184 | + | 22.8132i | −0.446276 | + | 0.977208i | ||||
\(546\) | 21.3431 | + | 25.3895i | 0.913402 | + | 1.08657i | ||||
\(547\) | 4.61972 | + | 32.1309i | 0.197525 | + | 1.37382i | 0.811436 | + | 0.584441i | \(0.198686\pi\) |
−0.613911 | + | 0.789375i | \(0.710405\pi\) | |||||||
\(548\) | −10.8149 | − | 5.57549i | −0.461992 | − | 0.238173i | ||||
\(549\) | 11.3235 | − | 2.18242i | 0.483274 | − | 0.0931434i | ||||
\(550\) | −20.2996 | + | 83.6762i | −0.865579 | + | 3.56797i | ||||
\(551\) | −13.7555 | − | 23.8253i | −0.586006 | − | 1.01499i | ||||
\(552\) | −10.8381 | − | 14.4049i | −0.461298 | − | 0.613113i | ||||
\(553\) | −4.88650 | − | 21.5452i | −0.207795 | − | 0.916197i | ||||
\(554\) | 47.0238 | − | 13.8074i | 1.99785 | − | 0.586622i | ||||
\(555\) | −0.289077 | + | 0.835233i | −0.0122706 | + | 0.0354537i | ||||
\(556\) | 1.56279 | + | 32.8069i | 0.0662769 | + | 1.39132i | ||||
\(557\) | 16.5653 | + | 6.63173i | 0.701892 | + | 0.280995i | 0.695030 | − | 0.718981i | \(-0.255391\pi\) |
0.00686270 | + | 0.999976i | \(0.497816\pi\) | |||||||
\(558\) | 0.537408 | − | 11.2816i | 0.0227503 | − | 0.477587i | ||||
\(559\) | 24.2356 | − | 53.0686i | 1.02506 | − | 2.24456i | ||||
\(560\) | −0.529680 | − | 16.2276i | −0.0223831 | − | 0.685739i | ||||
\(561\) | 0.929166 | − | 6.46249i | 0.0392294 | − | 0.272847i | ||||
\(562\) | −17.7998 | + | 24.9963i | −0.750839 | + | 1.05441i | ||||
\(563\) | −10.9635 | + | 10.4537i | −0.462056 | + | 0.440569i | −0.885003 | − | 0.465585i | \(-0.845844\pi\) |
0.422947 | + | 0.906154i | \(0.360996\pi\) | |||||||
\(564\) | −20.7167 | + | 19.7533i | −0.872329 | + | 0.831764i | ||||
\(565\) | 5.13161 | − | 7.20633i | 0.215888 | − | 0.303173i | ||||
\(566\) | 4.06475 | − | 28.2710i | 0.170854 | − | 1.18832i | ||||
\(567\) | 0.0863134 | + | 2.64434i | 0.00362482 | + | 0.111052i | ||||
\(568\) | −18.4725 | + | 40.4492i | −0.775090 | + | 1.69721i | ||||
\(569\) | 1.93441 | − | 40.6082i | 0.0810945 | − | 1.70238i | −0.482147 | − | 0.876091i | \(-0.660143\pi\) |
0.563241 | − | 0.826293i | \(-0.309554\pi\) | |||||||
\(570\) | −41.2678 | − | 16.5211i | −1.72852 | − | 0.691994i | ||||
\(571\) | −1.97249 | − | 41.4077i | −0.0825463 | − | 1.73286i | −0.538300 | − | 0.842753i | \(-0.680933\pi\) |
0.455754 | − | 0.890106i | \(-0.349370\pi\) | |||||||
\(572\) | 28.6283 | − | 82.7161i | 1.19701 | − | 3.45853i | ||||
\(573\) | −5.01366 | + | 1.47214i | −0.209449 | + | 0.0614996i | ||||
\(574\) | 9.31727 | + | 41.0811i | 0.388895 | + | 1.71469i | ||||
\(575\) | −30.4615 | − | 22.6880i | −1.27033 | − | 0.946154i | ||||
\(576\) | 5.82253 | + | 10.0849i | 0.242605 | + | 0.420205i | ||||
\(577\) | −4.47034 | + | 18.4270i | −0.186103 | + | 0.767126i | 0.799864 | + | 0.600182i | \(0.204905\pi\) |
−0.985966 | + | 0.166944i | \(0.946610\pi\) | |||||||
\(578\) | −34.7864 | + | 6.70452i | −1.44692 | + | 0.278871i | ||||
\(579\) | −4.75467 | − | 2.45120i | −0.197597 | − | 0.101869i | ||||
\(580\) | −9.65827 | − | 67.1747i | −0.401038 | − | 2.78928i | ||||
\(581\) | −5.06856 | − | 6.02949i | −0.210279 | − | 0.250145i | ||||
\(582\) | 5.56699 | − | 12.1900i | 0.230759 | − | 0.505292i | ||||
\(583\) | 19.4323 | + | 3.74527i | 0.804804 | + | 0.155113i | ||||
\(584\) | 27.7592 | + | 21.8301i | 1.14868 | + | 0.903335i | ||||
\(585\) | 18.9730 | + | 1.81170i | 0.784437 | + | 0.0749047i | ||||
\(586\) | −6.67103 | − | 27.4984i | −0.275578 | − | 1.13595i | ||||
\(587\) | 7.21510 | + | 2.11855i | 0.297799 | + | 0.0874417i | 0.427219 | − | 0.904148i | \(-0.359493\pi\) |
−0.129420 | + | 0.991590i | \(0.541312\pi\) | |||||||
\(588\) | −23.5980 | + | 8.63689i | −0.973165 | + | 0.356179i | ||||
\(589\) | 3.55611 | − | 24.7333i | 0.146527 | − | 1.01912i | ||||
\(590\) | −3.28858 | − | 0.633821i | −0.135389 | − | 0.0260940i | ||||
\(591\) | −3.53648 | − | 4.96629i | −0.145471 | − | 0.204286i | ||||
\(592\) | −0.373143 | + | 0.192368i | −0.0153361 | + | 0.00790630i | ||||
\(593\) | 32.2401 | − | 25.3539i | 1.32394 | − | 1.04116i | 0.328628 | − | 0.944459i | \(-0.393414\pi\) |
0.995314 | − | 0.0967000i | \(-0.0308287\pi\) | |||||||
\(594\) | 9.14599 | − | 5.87777i | 0.375264 | − | 0.241168i | ||||
\(595\) | 5.42468 | + | 12.3650i | 0.222390 | + | 0.506915i | ||||
\(596\) | 9.18741 | − | 2.69767i | 0.376331 | − | 0.110501i | ||||
\(597\) | 6.41406 | + | 11.1095i | 0.262510 | + | 0.454680i | ||||
\(598\) | 44.5864 | + | 40.3344i | 1.82327 | + | 1.64939i | ||||
\(599\) | 1.47478 | − | 2.55439i | 0.0602579 | − | 0.104370i | −0.834323 | − | 0.551276i | \(-0.814141\pi\) |
0.894581 | + | 0.446907i | \(0.147474\pi\) | |||||||
\(600\) | −21.5451 | − | 20.5433i | −0.879577 | − | 0.838675i | ||||
\(601\) | 2.51397 | + | 2.90128i | 0.102547 | + | 0.118346i | 0.804703 | − | 0.593678i | \(-0.202325\pi\) |
−0.702156 | + | 0.712023i | \(0.747779\pi\) | |||||||
\(602\) | 49.0939 | + | 48.2345i | 2.00092 | + | 1.96589i | ||||
\(603\) | 1.84789 | + | 12.8524i | 0.0752519 | + | 0.523388i | ||||
\(604\) | 3.27527 | − | 68.7564i | 0.133269 | − | 2.79766i | ||||
\(605\) | −21.1520 | − | 29.7038i | −0.859950 | − | 1.20763i | ||||
\(606\) | 1.51605 | + | 4.38033i | 0.0615852 | + | 0.177939i | ||||
\(607\) | 36.0820 | − | 14.4451i | 1.46452 | − | 0.586307i | 0.503802 | − | 0.863819i | \(-0.331934\pi\) |
0.960722 | + | 0.277512i | \(0.0895098\pi\) | |||||||
\(608\) | 7.56432 | + | 16.5636i | 0.306774 | + | 0.671741i | ||||
\(609\) | −12.4625 | + | 6.19051i | −0.505007 | + | 0.250852i | ||||
\(610\) | 94.0306 | + | 27.6099i | 3.80719 | + | 1.11789i | ||||
\(611\) | 24.5253 | − | 34.4410i | 0.992188 | − | 1.39333i | ||||
\(612\) | 4.00652 | + | 3.15076i | 0.161954 | + | 0.127362i | ||||
\(613\) | 4.17557 | + | 12.0645i | 0.168650 | + | 0.487282i | 0.997378 | − | 0.0723699i | \(-0.0230562\pi\) |
−0.828728 | + | 0.559652i | \(0.810935\pi\) | |||||||
\(614\) | −16.9764 | + | 1.62105i | −0.685110 | + | 0.0654201i | ||||
\(615\) | 20.3629 | + | 13.0865i | 0.821113 | + | 0.527698i | ||||
\(616\) | 35.5195 | + | 28.8037i | 1.43112 | + | 1.16054i | ||||
\(617\) | 0.422857 | − | 0.271754i | 0.0170236 | − | 0.0109404i | −0.532101 | − | 0.846681i | \(-0.678597\pi\) |
0.549125 | + | 0.835740i | \(0.314961\pi\) | |||||||
\(618\) | 5.53549 | − | 15.9938i | 0.222670 | − | 0.643363i | ||||
\(619\) | 2.63964 | − | 10.8808i | 0.106096 | − | 0.437334i | −0.893843 | − | 0.448380i | \(-0.852001\pi\) |
0.999939 | + | 0.0110460i | \(0.00351613\pi\) | |||||||
\(620\) | 30.8202 | − | 53.3822i | 1.23777 | − | 2.14388i | ||||
\(621\) | 0.806776 | + | 4.72748i | 0.0323748 | + | 0.189707i | ||||
\(622\) | −40.6722 | −1.63081 | ||||||||
\(623\) | −4.17906 | − | 7.49527i | −0.167430 | − | 0.300292i | ||||
\(624\) | 5.92836 | + | 6.84169i | 0.237324 | + | 0.273887i | ||||
\(625\) | 1.66689 | + | 0.859341i | 0.0666756 | + | 0.0343737i | ||||
\(626\) | −32.4567 | − | 12.9937i | −1.29723 | − | 0.519333i | ||||
\(627\) | 21.3790 | − | 11.0216i | 0.853796 | − | 0.440162i | ||||
\(628\) | −49.2443 | + | 4.70226i | −1.96506 | + | 0.187641i | ||||
\(629\) | 0.228631 | − | 0.263854i | 0.00911612 | − | 0.0105206i | ||||
\(630\) | −9.64540 | + | 20.3102i | −0.384282 | + | 0.809179i | ||||
\(631\) | 17.8378 | + | 39.0592i | 0.710110 | + | 1.55492i | 0.827266 | + | 0.561810i | \(0.189895\pi\) |
−0.117156 | + | 0.993113i | \(0.537378\pi\) | |||||||
\(632\) | −7.39974 | − | 30.5022i | −0.294346 | − | 1.21331i | ||||
\(633\) | −17.9011 | + | 17.0686i | −0.711503 | + | 0.678417i | ||||
\(634\) | −24.6189 | − | 2.35082i | −0.977741 | − | 0.0933630i | ||||
\(635\) | −58.2577 | + | 23.3229i | −2.31189 | + | 0.925540i | ||||
\(636\) | −10.1173 | + | 11.6760i | −0.401178 | + | 0.462984i | ||||
\(637\) | 31.8118 | − | 19.1234i | 1.26043 | − | 0.757695i | ||||
\(638\) | 48.1034 | + | 30.9142i | 1.90443 | + | 1.22390i | ||||
\(639\) | 9.29912 | − | 7.31291i | 0.367868 | − | 0.289294i | ||||
\(640\) | 3.51805 | + | 73.8530i | 0.139063 | + | 2.91930i | ||||
\(641\) | −23.9805 | + | 4.62185i | −0.947171 | + | 0.182552i | −0.639371 | − | 0.768899i | \(-0.720805\pi\) |
−0.307800 | + | 0.951451i | \(0.599593\pi\) | |||||||
\(642\) | 6.28734 | + | 5.99497i | 0.248142 | + | 0.236603i | ||||
\(643\) | −29.7732 | −1.17414 | −0.587071 | − | 0.809535i | \(-0.699719\pi\) | ||||
−0.587071 | + | 0.809535i | \(0.699719\pi\) | |||||||
\(644\) | −40.2489 | + | 21.3267i | −1.58603 | + | 0.840389i | ||||
\(645\) | 39.5477 | 1.55719 | ||||||||
\(646\) | 12.7081 | + | 12.1172i | 0.499994 | + | 0.476743i | ||||
\(647\) | −42.5993 | + | 8.21034i | −1.67475 | + | 0.322782i | −0.936214 | − | 0.351431i | \(-0.885695\pi\) |
−0.738537 | + | 0.674213i | \(0.764483\pi\) | |||||||
\(648\) | 0.178853 | + | 3.75458i | 0.00702601 | + | 0.147494i | ||||
\(649\) | 1.42448 | − | 1.12022i | 0.0559156 | − | 0.0439725i | ||||
\(650\) | 83.5260 | + | 53.6789i | 3.27616 | + | 2.10546i | ||||
\(651\) | −12.3734 | − | 2.57746i | −0.484950 | − | 0.101019i | ||||
\(652\) | −8.33150 | + | 9.61506i | −0.326287 | + | 0.376555i | ||||
\(653\) | −8.24799 | + | 3.30200i | −0.322769 | + | 0.129217i | −0.527388 | − | 0.849625i | \(-0.676829\pi\) |
0.204619 | + | 0.978842i | \(0.434404\pi\) | |||||||
\(654\) | 16.4218 | + | 1.56809i | 0.642142 | + | 0.0613171i | ||||
\(655\) | 29.9096 | − | 28.5188i | 1.16867 | − | 1.11432i | ||||
\(656\) | 2.71057 | + | 11.1731i | 0.105830 | + | 0.436237i | ||||
\(657\) | −3.90286 | − | 8.54607i | −0.152265 | − | 0.333414i | ||||
\(658\) | 28.3209 | + | 41.0585i | 1.10406 | + | 1.60063i | ||||
\(659\) | −12.7426 | + | 14.7057i | −0.496379 | + | 0.572852i | −0.947559 | − | 0.319581i | \(-0.896458\pi\) |
0.451180 | + | 0.892433i | \(0.351003\pi\) | |||||||
\(660\) | 59.0659 | − | 5.64011i | 2.29914 | − | 0.219541i | ||||
\(661\) | −6.48117 | + | 3.34127i | −0.252088 | + | 0.129960i | −0.579640 | − | 0.814873i | \(-0.696807\pi\) |
0.327552 | + | 0.944833i | \(0.393776\pi\) | |||||||
\(662\) | −62.0824 | − | 24.8540i | −2.41290 | − | 0.965979i | ||||
\(663\) | −6.69175 | − | 3.44984i | −0.259886 | − | 0.133981i | ||||
\(664\) | −7.32837 | − | 8.45739i | −0.284396 | − | 0.328210i | ||||
\(665\) | −25.5141 | + | 42.7023i | −0.989394 | + | 1.65593i | ||||
\(666\) | 0.581362 | 0.0225273 | ||||||||
\(667\) | −20.8546 | + | 14.1888i | −0.807493 | + | 0.549391i | ||||
\(668\) | −25.6967 | + | 44.5079i | −0.994233 | + | 1.72206i | ||||
\(669\) | −0.571807 | + | 2.35702i | −0.0221074 | + | 0.0911277i | ||||
\(670\) | −36.0904 | + | 104.276i | −1.39430 | + | 4.02855i | ||||
\(671\) | −44.6098 | + | 28.6690i | −1.72214 | + | 1.10675i | ||||
\(672\) | 8.60084 | − | 3.29474i | 0.331785 | − | 0.127097i | ||||
\(673\) | 7.54185 | + | 4.84685i | 0.290717 | + | 0.186832i | 0.677867 | − | 0.735184i | \(-0.262904\pi\) |
−0.387151 | + | 0.922016i | \(0.626541\pi\) | |||||||
\(674\) | −5.89522 | + | 0.562925i | −0.227075 | + | 0.0216831i | ||||
\(675\) | 2.59033 | + | 7.48425i | 0.0997017 | + | 0.288069i | ||||
\(676\) | −42.6551 | − | 33.5444i | −1.64058 | − | 1.29017i | ||||
\(677\) | 10.9599 | − | 15.3911i | 0.421224 | − | 0.591527i | −0.548373 | − | 0.836234i | \(-0.684753\pi\) |
0.969597 | + | 0.244707i | \(0.0786919\pi\) | |||||||
\(678\) | −5.58336 | − | 1.63942i | −0.214428 | − | 0.0629617i | ||||
\(679\) | −12.4930 | − | 8.29563i | −0.479437 | − | 0.318357i | ||||
\(680\) | 7.96901 | + | 17.4497i | 0.305598 | + | 0.669165i | ||||
\(681\) | −23.4451 | + | 9.38598i | −0.898416 | + | 0.359672i | ||||
\(682\) | 16.9865 | + | 49.0792i | 0.650446 | + | 1.87934i | ||||
\(683\) | −8.96402 | − | 12.5882i | −0.342999 | − | 0.481674i | 0.606660 | − | 0.794962i | \(-0.292509\pi\) |
−0.949658 | + | 0.313288i | \(0.898570\pi\) | |||||||
\(684\) | −0.893470 | + | 18.7562i | −0.0341627 | + | 0.717163i | ||||
\(685\) | 1.73383 | + | 12.0590i | 0.0662462 | + | 0.460752i | ||||
\(686\) | 8.40231 | + | 42.9735i | 0.320802 | + | 1.64073i | ||||
\(687\) | 16.0519 | + | 18.5249i | 0.612420 | + | 0.706770i | ||||
\(688\) | 13.5950 | + | 12.9628i | 0.518304 | + | 0.494202i | ||||
\(689\) | 11.4101 | − | 19.7629i | 0.434690 | − | 0.752905i | ||||
\(690\) | −12.3154 | + | 38.8509i | −0.468838 | + | 1.47903i | ||||
\(691\) | −9.27733 | − | 16.0688i | −0.352926 | − | 0.611286i | 0.633835 | − | 0.773469i | \(-0.281480\pi\) |
−0.986761 | + | 0.162182i | \(0.948147\pi\) | |||||||
\(692\) | 19.8489 | − | 5.82816i | 0.754542 | − | 0.221553i | ||||
\(693\) | −4.88776 | − | 11.1411i | −0.185671 | − | 0.423217i | ||||
\(694\) | −33.4332 | + | 21.4862i | −1.26911 | + | 0.815605i | ||||
\(695\) | 25.8501 | − | 20.3288i | 0.980551 | − | 0.771114i | ||||
\(696\) | −17.5720 | + | 9.05898i | −0.666064 | + | 0.343380i | ||||
\(697\) | −5.54620 | − | 7.78854i | −0.210077 | − | 0.295012i | ||||
\(698\) | −9.58160 | − | 1.84670i | −0.362669 | − | 0.0698987i | ||||
\(699\) | 1.65581 | − | 11.5164i | 0.0626284 | − | 0.435590i | ||||
\(700\) | −59.8174 | + | 45.6083i | −2.26088 | + | 1.72383i | ||||
\(701\) | 34.9863 | + | 10.2729i | 1.32141 | + | 0.388002i | 0.865003 | − | 0.501767i | \(-0.167317\pi\) |
0.456411 | + | 0.889769i | \(0.349135\pi\) | |||||||
\(702\) | −2.95561 | − | 12.1832i | −0.111552 | − | 0.459824i | ||||
\(703\) | 1.28038 | + | 0.122261i | 0.0482904 | + | 0.00461117i | ||||
\(704\) | −42.0918 | − | 33.1013i | −1.58639 | − | 1.24755i | ||||
\(705\) | 28.1432 | + | 5.42416i | 1.05993 | + | 0.204286i | ||||
\(706\) | −15.9200 | + | 34.8599i | −0.599157 | + | 1.31197i | ||||
\(707\) | 5.10748 | − | 0.905306i | 0.192087 | − | 0.0340475i | ||||
\(708\) | 0.201338 | + | 1.40034i | 0.00756674 | + | 0.0526278i | ||||
\(709\) | 16.6883 | + | 8.60341i | 0.626742 | + | 0.323108i | 0.742174 | − | 0.670207i | \(-0.233795\pi\) |
−0.115432 | + | 0.993315i | \(0.536825\pi\) | |||||||
\(710\) | 98.7185 | − | 19.0264i | 3.70484 | − | 0.714049i | ||||
\(711\) | −1.96862 | + | 8.11477i | −0.0738291 | + | 0.304328i | ||||
\(712\) | −6.09597 | − | 10.5585i | −0.228456 | − | 0.395697i | ||||
\(713\) | −22.8556 | − | 1.57888i | −0.855948 | − | 0.0591296i | ||||
\(714\) | 6.51890 | − | 6.03205i | 0.243964 | − | 0.225744i | ||||
\(715\) | −84.0916 | + | 24.6915i | −3.14485 | + | 0.923411i | ||||
\(716\) | 9.76592 | − | 28.2168i | 0.364969 | − | 1.05451i | ||||
\(717\) | −0.0753974 | − | 1.58279i | −0.00281577 | − | 0.0591102i | ||||
\(718\) | 73.7872 | + | 29.5399i | 2.75371 | + | 1.10242i | ||||
\(719\) | 0.0279476 | − | 0.586692i | 0.00104227 | − | 0.0218799i | −0.998286 | − | 0.0585190i | \(-0.981362\pi\) |
0.999329 | + | 0.0366391i | \(0.0116652\pi\) | |||||||
\(720\) | −2.54928 | + | 5.58214i | −0.0950060 | + | 0.208034i | ||||
\(721\) | −16.7023 | − | 8.92960i | −0.622025 | − | 0.332556i | ||||
\(722\) | −2.81310 | + | 19.5656i | −0.104693 | + | 0.728155i | ||||
\(723\) | 3.91531 | − | 5.49829i | 0.145612 | − | 0.204483i | ||||
\(724\) | 9.73709 | − | 9.28430i | 0.361876 | − | 0.345048i | ||||
\(725\) | −30.1467 | + | 28.7449i | −1.11962 | + | 1.06756i | ||||
\(726\) | −13.9131 | + | 19.5381i | −0.516362 | + | 0.725129i | ||||
\(727\) | −1.63467 | + | 11.3694i | −0.0606264 | + | 0.421666i | 0.936794 | + | 0.349882i | \(0.113778\pi\) |
−0.997420 | + | 0.0717840i | \(0.977131\pi\) | |||||||
\(728\) | 44.7836 | − | 27.8423i | 1.65979 | − | 1.03190i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 3.79902 | − | 79.7512i | 0.140608 | − | 2.95172i | ||||
\(731\) | −14.5028 | − | 5.80605i | −0.536406 | − | 0.214745i | ||||
\(732\) | −1.96978 | − | 41.3507i | −0.0728050 | − | 1.52836i | ||||
\(733\) | −14.6680 | + | 42.3805i | −0.541776 | + | 1.56536i | 0.258678 | + | 0.965964i | \(0.416713\pi\) |
−0.800454 | + | 0.599395i | \(0.795408\pi\) | |||||||
\(734\) | −48.3933 | + | 14.2095i | −1.78623 | + | 0.524484i | ||||
\(735\) | 20.7500 | + | 14.2306i | 0.765375 | + | 0.524903i | ||||
\(736\) | 14.6335 | − | 8.03667i | 0.539397 | − | 0.296236i | ||||
\(737\) | −29.8538 | − | 51.7083i | −1.09968 | − | 1.90470i | ||||
\(738\) | 3.75365 | − | 15.4727i | 0.138174 | − | 0.569559i | ||||
\(739\) | −19.3516 | + | 3.72972i | −0.711860 | + | 0.137200i | −0.532311 | − | 0.846549i | \(-0.678676\pi\) |
−0.179550 | + | 0.983749i | \(0.557464\pi\) | |||||||
\(740\) | 2.82015 | + | 1.45389i | 0.103671 | + | 0.0534460i | ||||
\(741\) | −3.94722 | − | 27.4535i | −0.145005 | − | 1.00853i | ||||
\(742\) | 17.3229 | + | 20.6071i | 0.635943 | + | 0.756510i | ||||
\(743\) | 0.726742 | − | 1.59134i | 0.0266616 | − | 0.0583807i | −0.895833 | − | 0.444391i | \(-0.853420\pi\) |
0.922494 | + | 0.386011i | \(0.126147\pi\) | |||||||
\(744\) | −17.6318 | − | 3.39825i | −0.646412 | − | 0.124586i | ||||
\(745\) | −7.53626 | − | 5.92658i | −0.276107 | − | 0.217133i | ||||
\(746\) | −21.5682 | − | 2.05952i | −0.789669 | − | 0.0754042i | ||||
\(747\) | 0.701896 | + | 2.89325i | 0.0256810 | + | 0.105859i | ||||
\(748\) | −22.4885 | − | 6.60322i | −0.822261 | − | 0.241438i | ||||
\(749\) | 7.73079 | − | 5.89442i | 0.282477 | − | 0.215377i | ||||
\(750\) | −3.53132 | + | 24.5609i | −0.128946 | + | 0.896836i | ||||
\(751\) | −12.6866 | − | 2.44515i | −0.462942 | − | 0.0892248i | −0.0475532 | − | 0.998869i | \(-0.515142\pi\) |
−0.415389 | + | 0.909644i | \(0.636354\pi\) | |||||||
\(752\) | 7.89664 | + | 11.0893i | 0.287961 | + | 0.404385i | ||||
\(753\) | −13.2280 | + | 6.81949i | −0.482054 | + | 0.248516i | ||||
\(754\) | 51.8293 | − | 40.7590i | 1.88751 | − | 1.48436i | ||||
\(755\) | −57.9809 | + | 37.2621i | −2.11014 | + | 1.35611i | ||||
\(756\) | 9.44025 | + | 1.04427i | 0.343339 | + | 0.0379796i | ||||
\(757\) | 15.7836 | − | 4.63447i | 0.573663 | − | 0.168443i | 0.0179821 | − | 0.999838i | \(-0.494276\pi\) |
0.555681 | + | 0.831396i | \(0.312458\pi\) | |||||||
\(758\) | −17.9381 | − | 31.0697i | −0.651541 | − | 1.12850i | ||||
\(759\) | −11.5236 | − | 18.8027i | −0.418279 | − | 0.682495i | ||||
\(760\) | −35.3358 | + | 61.2034i | −1.28176 | + | 2.22008i | ||||
\(761\) | 10.9133 | + | 10.4058i | 0.395606 | + | 0.377209i | 0.861608 | − | 0.507574i | \(-0.169458\pi\) |
−0.466002 | + | 0.884783i | \(0.654306\pi\) | |||||||
\(762\) | 27.0305 | + | 31.1948i | 0.979211 | + | 1.13007i | ||||
\(763\) | 4.62027 | − | 17.8728i | 0.167265 | − | 0.647040i | ||||
\(764\) | 2.66955 | + | 18.5671i | 0.0965810 | + | 0.671736i | ||||
\(765\) | 0.242834 | − | 5.09772i | 0.00877969 | − | 0.184308i | ||||
\(766\) | −22.0300 | − | 30.9368i | −0.795975 | − | 1.11779i | ||||
\(767\) | −0.683465 | − | 1.97474i | −0.0246785 | − | 0.0713038i | ||||
\(768\) | 23.5276 | − | 9.41903i | 0.848979 | − | 0.339880i | ||||
\(769\) | 1.44037 | + | 3.15396i | 0.0519409 | + | 0.113735i | 0.933823 | − | 0.357735i | \(-0.116451\pi\) |
−0.881882 | + | 0.471470i | \(0.843724\pi\) | |||||||
\(770\) | 6.46499 | − | 103.188i | 0.232982 | − | 3.71865i | ||||
\(771\) | 1.38279 | + | 0.406024i | 0.0497999 | + | 0.0146226i | ||||
\(772\) | −11.1390 | + | 15.6425i | −0.400901 | + | 0.562986i | ||||
\(773\) | 17.8850 | + | 14.0649i | 0.643278 | + | 0.505880i | 0.885680 | − | 0.464296i | \(-0.153693\pi\) |
−0.242402 | + | 0.970176i | \(0.577935\pi\) | |||||||
\(774\) | −8.50806 | − | 24.5824i | −0.305816 | − | 0.883597i | ||||
\(775\) | −37.6623 | + | 3.59632i | −1.35287 | + | 0.129184i | ||||
\(776\) | −17.9234 | − | 11.5186i | −0.643411 | − | 0.413495i | ||||
\(777\) | 0.102216 | − | 0.642493i | 0.00366697 | − | 0.0230493i | ||||
\(778\) | −60.3067 | + | 38.7567i | −2.16210 | + | 1.38950i | ||||
\(779\) | 11.5209 | − | 33.2874i | 0.412779 | − | 1.19265i | ||||
\(780\) | 16.1306 | − | 66.4913i | 0.577569 | − | 2.38077i | ||||
\(781\) | −27.1997 | + | 47.1112i | −0.973281 | + | 1.68577i | ||||
\(782\) | 10.2200 | − | 12.4392i | 0.365466 | − | 0.444826i | ||||
\(783\) | 5.25951 | 0.187959 | ||||||||
\(784\) | 2.46860 | + | 11.6933i | 0.0881644 | + | 0.417617i | ||||
\(785\) | 32.4361 | + | 37.4333i | 1.15770 | + | 1.33605i | ||||
\(786\) | −24.1616 | − | 12.4561i | −0.861814 | − | 0.444296i | ||||
\(787\) | 23.1420 | + | 9.26468i | 0.824925 | + | 0.330250i | 0.745429 | − | 0.666585i | \(-0.232245\pi\) |
0.0794960 | + | 0.996835i | \(0.474669\pi\) | |||||||
\(788\) | −19.4535 | + | 10.0290i | −0.693002 | + | 0.357267i | ||||
\(789\) | −1.25500 | + | 0.119838i | −0.0446790 | + | 0.00426633i | ||||
\(790\) | −46.4699 | + | 53.6291i | −1.65332 | + | 1.90804i | ||||
\(791\) | −2.79348 | + | 5.88221i | −0.0993249 | + | 0.209147i | ||||
\(792\) | −7.18026 | − | 15.7226i | −0.255139 | − | 0.558677i | ||||
\(793\) | 14.4160 | + | 59.4238i | 0.511929 | + | 2.11020i | ||||
\(794\) | −3.94804 | + | 3.76445i | −0.140111 | + | 0.133595i | ||||
\(795\) | 15.3992 | + | 1.47045i | 0.546153 | + | 0.0521513i | ||||
\(796\) | 42.7522 | − | 17.1154i | 1.51531 | − | 0.606639i | ||||
\(797\) | 2.00588 | − | 2.31491i | 0.0710520 | − | 0.0819984i | −0.719111 | − | 0.694896i | \(-0.755451\pi\) |
0.790163 | + | 0.612897i | \(0.209996\pi\) | |||||||
\(798\) | 32.0323 | + | 6.67255i | 1.13393 | + | 0.236206i | ||||
\(799\) | −9.52427 | − | 6.12087i | −0.336944 | − | 0.216541i | ||||
\(800\) | 21.6717 | − | 17.0428i | 0.766211 | − | 0.602555i | ||||
\(801\) | 0.154334 | + | 3.23986i | 0.00545311 | + | 0.114475i | ||||
\(802\) | −10.7351 | + | 2.06902i | −0.379070 | + | 0.0730597i | ||||
\(803\) | 31.2668 | + | 29.8129i | 1.10338 | + | 1.05207i | ||||
\(804\) | 46.6124 | 1.64389 | ||||||||
\(805\) | 40.7707 | + | 20.4411i | 1.43698 | + | 0.720455i | ||||
\(806\) | 59.8881 | 2.10947 | ||||||||
\(807\) | 4.89872 | + | 4.67092i | 0.172443 | + | 0.164424i | ||||
\(808\) | 7.23618 | − | 1.39466i | 0.254568 | − | 0.0490639i | ||||
\(809\) | −1.65841 | − | 34.8144i | −0.0583067 | − | 1.22401i | −0.818575 | − | 0.574399i | \(-0.805236\pi\) |
0.760269 | − | 0.649609i | \(-0.225067\pi\) | |||||||
\(810\) | 6.68006 | − | 5.25326i | 0.234713 | − | 0.184581i | ||||
\(811\) | −22.1080 | − | 14.2080i | −0.776318 | − | 0.498909i | 0.0914919 | − | 0.995806i | \(-0.470836\pi\) |
−0.867810 | + | 0.496897i | \(0.834473\pi\) | |||||||
\(812\) | 15.6298 | + | 47.4458i | 0.548499 | + | 1.66502i | ||||
\(813\) | −11.5827 | + | 13.3671i | −0.406223 | + | 0.468806i | ||||
\(814\) | −2.48182 | + | 0.993572i | −0.0869878 | + | 0.0348247i | ||||
\(815\) | 12.6811 | + | 1.21090i | 0.444199 | + | 0.0424158i | ||||
\(816\) | 1.75439 | − | 1.67280i | 0.0614158 | − | 0.0585598i | ||||
\(817\) | −13.5682 | − | 55.9291i | −0.474693 | − | 1.95671i | ||||
\(818\) | 35.3142 | + | 77.3272i | 1.23473 | + | 2.70368i | ||||
\(819\) | −13.9839 | + | 1.12433i | −0.488637 | + | 0.0392872i | ||||
\(820\) | 56.9034 | − | 65.6700i | 1.98715 | − | 2.29330i | ||||
\(821\) | −28.8787 | + | 2.75758i | −1.00787 | + | 0.0962403i | −0.585913 | − | 0.810374i | \(-0.699264\pi\) |
−0.421961 | + | 0.906614i | \(0.638658\pi\) | |||||||
\(822\) | 7.12277 | − | 3.67204i | 0.248435 | − | 0.128077i | ||||
\(823\) | −10.9100 | − | 4.36771i | −0.380299 | − | 0.152249i | 0.173634 | − | 0.984810i | \(-0.444449\pi\) |
−0.553932 | + | 0.832562i | \(0.686873\pi\) | |||||||
\(824\) | −23.9163 | − | 12.3297i | −0.833164 | − | 0.429526i | ||||
\(825\) | −23.8489 | − | 27.5231i | −0.830313 | − | 0.958233i | ||||
\(826\) | 2.46490 | + | 0.0369041i | 0.0857650 | + | 0.00128406i | ||||
\(827\) | 32.1065 | 1.11645 | 0.558226 | − | 0.829689i | \(-0.311482\pi\) | ||||
0.558226 | + | 0.829689i | \(0.311482\pi\) | |||||||
\(828\) | 17.2104 | − | 0.451505i | 0.598101 | − | 0.0156909i | ||||
\(829\) | 16.1904 | − | 28.0425i | 0.562315 | − | 0.973957i | −0.434979 | − | 0.900440i | \(-0.643244\pi\) |
0.997294 | − | 0.0735170i | \(-0.0234223\pi\) | |||||||
\(830\) | −5.96487 | + | 24.5875i | −0.207044 | + | 0.853445i | ||||
\(831\) | −6.77976 | + | 19.5888i | −0.235187 | + | 0.679529i | ||||
\(832\) | −51.9454 | + | 33.3833i | −1.80088 | + | 1.15736i | ||||
\(833\) | −5.52016 | − | 8.26494i | −0.191262 | − | 0.286363i | ||||
\(834\) | −18.1974 | − | 11.6947i | −0.630124 | − | 0.404956i | ||||
\(835\) | 51.2258 | − | 4.89147i | 1.77274 | − | 0.169276i | ||||
\(836\) | −28.2410 | − | 81.5970i | −0.976735 | − | 2.82209i | ||||
\(837\) | 3.75503 | + | 2.95299i | 0.129793 | + | 0.102070i | ||||
\(838\) | 23.6094 | − | 33.1548i | 0.815575 | − | 1.14531i | ||||
\(839\) | 54.5553 | + | 16.0189i | 1.88346 | + | 0.553033i | 0.995690 | + | 0.0927437i | \(0.0295637\pi\) |
0.887769 | + | 0.460290i | \(0.152254\pi\) | |||||||
\(840\) | 29.7791 | + | 19.7739i | 1.02748 | + | 0.682266i | ||||
\(841\) | −0.555652 | − | 1.21671i | −0.0191604 | − | 0.0419554i | ||||
\(842\) | −25.1108 | + | 10.0528i | −0.865375 | + | 0.346444i | ||||
\(843\) | −4.24505 | − | 12.2653i | −0.146207 | − | 0.422438i | ||||
\(844\) | 51.5046 | + | 72.3281i | 1.77286 | + | 2.48963i | ||||
\(845\) | −2.58532 | + | 54.2726i | −0.0889378 | + | 1.86703i | ||||
\(846\) | −2.68297 | − | 18.6604i | −0.0922423 | − | 0.641559i | ||||
\(847\) | 19.1464 | + | 18.8112i | 0.657878 | + | 0.646362i | ||||
\(848\) | 4.81168 | + | 5.55297i | 0.165234 | + | 0.190690i | ||||
\(849\) | 8.74305 | + | 8.33648i | 0.300061 | + | 0.286107i | ||||
\(850\) | 13.2931 | − | 23.0243i | 0.455949 | − | 0.789726i | ||||
\(851\) | 0.0252006 | − | 1.17899i | 0.000863865 | − | 0.0404154i | ||||
\(852\) | −21.2342 | − | 36.7787i | −0.727471 | − | 1.26002i | ||||
\(853\) | −5.20729 | + | 1.52900i | −0.178294 | + | 0.0523519i | −0.369661 | − | 0.929167i | \(-0.620526\pi\) |
0.191367 | + | 0.981519i | \(0.438708\pi\) | |||||||
\(854\) | −71.6980 | − | 7.93112i | −2.45346 | − | 0.271397i | ||||
\(855\) | 15.8168 | − | 10.1648i | 0.540922 | − | 0.347630i | ||||
\(856\) | 10.8566 | − | 8.53773i | 0.371071 | − | 0.291814i | ||||
\(857\) | −40.1871 | + | 20.7179i | −1.37276 | + | 0.707709i | −0.977515 | − | 0.210865i | \(-0.932372\pi\) |
−0.395249 | + | 0.918574i | \(0.629342\pi\) | |||||||
\(858\) | 33.4390 | + | 46.9585i | 1.14159 | + | 1.60314i | ||||
\(859\) | 39.8261 | + | 7.67586i | 1.35885 | + | 0.261897i | 0.816058 | − | 0.577970i | \(-0.196155\pi\) |
0.542792 | + | 0.839867i | \(0.317367\pi\) | |||||||
\(860\) | 20.2045 | − | 140.525i | 0.688966 | − | 4.79186i | ||||
\(861\) | −16.4397 | − | 6.86878i | −0.560265 | − | 0.234087i | ||||
\(862\) | 0.652133 | + | 0.191484i | 0.0222117 | + | 0.00652195i | ||||
\(863\) | 9.77999 | + | 40.3136i | 0.332915 | + | 1.37229i | 0.854659 | + | 0.519190i | \(0.173766\pi\) |
−0.521744 | + | 0.853102i | \(0.674718\pi\) | |||||||
\(864\) | −3.46541 | − | 0.330906i | −0.117896 | − | 0.0112577i | ||||
\(865\) | −16.2817 | − | 12.8041i | −0.553594 | − | 0.435351i | ||||
\(866\) | −57.5743 | − | 11.0965i | −1.95645 | − | 0.377075i | ||||
\(867\) | 6.22460 | − | 13.6300i | 0.211399 | − | 0.462898i | ||||
\(868\) | −15.4799 | + | 42.6495i | −0.525422 | + | 1.44762i | ||||
\(869\) | −5.46447 | − | 38.0063i | −0.185370 | − | 1.28927i | ||||
\(870\) | 39.7278 | + | 20.4811i | 1.34690 | + | 0.694375i | ||||
\(871\) | −67.6059 | + | 13.0300i | −2.29074 | + | 0.441504i | ||||
\(872\) | 6.18320 | − | 25.4875i | 0.209390 | − | 0.863116i | ||||
\(873\) | 2.83406 | + | 4.90873i | 0.0959183 | + | 0.166135i | ||||
\(874\) | 59.1688 | + | 4.08743i | 2.00141 | + | 0.138259i | ||||
\(875\) | 26.5226 | + | 8.22097i | 0.896627 | + | 0.277919i | ||||
\(876\) | −32.3607 | + | 9.50197i | −1.09337 | + | 0.321042i | ||||
\(877\) | 13.9627 | − | 40.3426i | 0.471487 | − | 1.36227i | −0.419298 | − | 0.907849i | \(-0.637724\pi\) |
0.890785 | − | 0.454424i | \(-0.150155\pi\) | |||||||
\(878\) | −1.95866 | − | 41.1173i | −0.0661015 | − | 1.38764i | ||||
\(879\) | 11.1108 | + | 4.44809i | 0.374758 | + | 0.150030i | ||||
\(880\) | 1.34271 | − | 28.1869i | 0.0452626 | − | 0.950179i | ||||
\(881\) | 8.23376 | − | 18.0294i | 0.277402 | − | 0.607426i | −0.718730 | − | 0.695289i | \(-0.755276\pi\) |
0.996133 | + | 0.0878626i | \(0.0280036\pi\) | |||||||
\(882\) | 4.38155 | − | 15.9595i | 0.147534 | − | 0.537383i | ||||
\(883\) | 4.61447 | − | 32.0944i | 0.155289 | − | 1.08006i | −0.751881 | − | 0.659299i | \(-0.770853\pi\) |
0.907171 | − | 0.420763i | \(-0.138238\pi\) | |||||||
\(884\) | −15.6770 | + | 22.0153i | −0.527276 | + | 0.740456i | ||||
\(885\) | 1.02520 | − | 0.977523i | 0.0344616 | − | 0.0328591i | ||||
\(886\) | −26.2825 | + | 25.0603i | −0.882977 | + | 0.841917i | ||||
\(887\) | −26.7124 | + | 37.5123i | −0.896915 | + | 1.25954i | 0.0681881 | + | 0.997672i | \(0.478278\pi\) |
−0.965103 | + | 0.261869i | \(0.915661\pi\) | |||||||
\(888\) | 0.131538 | − | 0.914867i | 0.00441413 | − | 0.0307009i | ||||
\(889\) | 39.2275 | − | 24.3880i | 1.31565 | − | 0.817948i | ||||
\(890\) | −11.4506 | + | 25.0734i | −0.383826 | + | 0.840461i | ||||
\(891\) | −0.218799 | + | 4.59316i | −0.00733005 | + | 0.153877i | ||||
\(892\) | 8.08309 | + | 3.23598i | 0.270642 | + | 0.108349i | ||||
\(893\) | −1.98458 | − | 41.6616i | −0.0664116 | − | 1.39415i | ||||
\(894\) | −2.06259 | + | 5.95947i | −0.0689834 | + | 0.199315i | ||||
\(895\) | −28.6860 | + | 8.42297i | −0.958867 | + | 0.281549i | ||||
\(896\) | −12.0375 | − | 53.0749i | −0.402144 | − | 1.77311i | ||||
\(897\) | −24.8354 | + | 5.46582i | −0.829231 | + | 0.182498i | ||||
\(898\) | −45.5366 | − | 78.8718i | −1.51958 | − | 2.63198i | ||||
\(899\) | −5.92346 | + | 24.4168i | −0.197558 | + | 0.814347i | ||||
\(900\) | 27.9172 | − | 5.38060i | 0.930573 | − | 0.179353i | ||||
\(901\) | −5.43127 | − | 2.80002i | −0.180942 | − | 0.0932820i | ||||
\(902\) | 10.4193 | + | 72.4679i | 0.346925 | + | 2.41292i | ||||
\(903\) | −28.6632 | + | 5.08058i | −0.953851 | + | 0.169071i | ||||
\(904\) | −3.84318 | + | 8.41539i | −0.127822 | + | 0.279892i | ||||
\(905\) | −13.2277 | − | 2.54942i | −0.439703 | − | 0.0847457i | ||||
\(906\) | 35.6354 | + | 28.0240i | 1.18391 | + | 0.931034i | ||||
\(907\) | −13.5485 | − | 1.29373i | −0.449871 | − | 0.0429574i | −0.132338 | − | 0.991205i | \(-0.542248\pi\) |
−0.317533 | + | 0.948247i | \(0.602854\pi\) | |||||||
\(908\) | 21.3735 | + | 88.1026i | 0.709303 | + | 2.92379i | ||||
\(909\) | −1.88112 | − | 0.552347i | −0.0623929 | − | 0.0183202i | ||||
\(910\) | −110.006 | − | 45.9623i | −3.64667 | − | 1.52363i | ||||
\(911\) | −4.60871 | + | 32.0543i | −0.152693 | + | 1.06201i | 0.758987 | + | 0.651106i | \(0.225695\pi\) |
−0.911680 | + | 0.410900i | \(0.865215\pi\) | |||||||
\(912\) | 8.76898 | + | 1.69008i | 0.290370 | + | 0.0559642i | ||||
\(913\) | −7.94107 | − | 11.1517i | −0.262811 | − | 0.369066i | ||||
\(914\) | −28.6710 | + | 14.7809i | −0.948352 | + | 0.488909i | ||||
\(915\) | −32.5821 | + | 25.6229i | −1.07713 | + | 0.847066i | ||||
\(916\) | 74.0255 | − | 47.5733i | 2.44587 | − | 1.57187i | ||||
\(917\) | −18.0140 | + | 24.5121i | −0.594876 | + | 0.809461i | ||||
\(918\) | −3.22093 | + | 0.945750i | −0.106306 | + | 0.0312144i | ||||
\(919\) | 14.3003 | + | 24.7689i | 0.471724 | + | 0.817050i | 0.999477 | − | 0.0323479i | \(-0.0102985\pi\) |
−0.527752 | + | 0.849398i | \(0.676965\pi\) | |||||||
\(920\) | 58.3516 | + | 28.1705i | 1.92380 | + | 0.928755i | ||||
\(921\) | 3.60650 | − | 6.24664i | 0.118838 | − | 0.205834i | ||||
\(922\) | −8.45438 | − | 8.06123i | −0.278430 | − | 0.265483i | ||||
\(923\) | 41.0788 | + | 47.4075i | 1.35213 | + | 1.56044i | ||||
\(924\) | −42.0849 | + | 11.6758i | −1.38449 | + | 0.384107i | ||||
\(925\) | −0.277149 | − | 1.92761i | −0.00911260 | − | 0.0633796i | ||||
\(926\) | 3.46498 | − | 72.7389i | 0.113866 | − | 2.39035i | ||||
\(927\) | 4.15230 | + | 5.83110i | 0.136380 | + | 0.191518i | ||||
\(928\) | −5.98837 | − | 17.3022i | −0.196578 | − | 0.567974i | ||||
\(929\) | −42.5058 | + | 17.0167i | −1.39457 | + | 0.558301i | −0.942658 | − | 0.333761i | \(-0.891682\pi\) |
−0.451912 | + | 0.892063i | \(0.649258\pi\) | |||||||
\(930\) | 16.8645 | + | 36.9280i | 0.553008 | + | 1.21092i | ||||
\(931\) | 13.0061 | − | 34.2273i | 0.426259 | − | 1.12175i | ||||
\(932\) | −40.0753 | − | 11.7672i | −1.31271 | − | 0.385447i | ||||
\(933\) | 9.97857 | − | 14.0129i | 0.326684 | − | 0.458763i | ||||
\(934\) | −76.6292 | − | 60.2618i | −2.50738 | − | 1.97183i | ||||
\(935\) | 7.67556 | + | 22.1771i | 0.251018 | + | 0.725267i | ||||
\(936\) | −19.8409 | + | 1.89458i | −0.648521 | + | 0.0619262i | ||||
\(937\) | 18.0437 | + | 11.5960i | 0.589464 | + | 0.378825i | 0.801107 | − | 0.598522i | \(-0.204245\pi\) |
−0.211643 | + | 0.977347i | \(0.567881\pi\) | |||||||
\(938\) | 12.7614 | − | 80.2134i | 0.416673 | − | 2.61906i | ||||
\(939\) | 12.4398 | − | 7.99454i | 0.405956 | − | 0.260892i | ||||
\(940\) | 33.6517 | − | 97.2302i | 1.09760 | − | 3.17130i | ||||
\(941\) | −0.342263 | + | 1.41083i | −0.0111575 | + | 0.0459917i | −0.977118 | − | 0.212697i | \(-0.931775\pi\) |
0.965961 | + | 0.258689i | \(0.0832904\pi\) | |||||||
\(942\) | 16.2900 | − | 28.2151i | 0.530757 | − | 0.919299i | ||||
\(943\) | −31.2158 | − | 8.28304i | −1.01653 | − | 0.269733i | ||||
\(944\) | 0.672832 | 0.0218988 | ||||||||
\(945\) | −4.63114 | − | 8.30610i | −0.150651 | − | 0.270198i | ||||
\(946\) | 78.3331 | + | 90.4013i | 2.54683 | + | 2.93920i | ||||
\(947\) | 44.4557 | + | 22.9185i | 1.44462 | + | 0.744752i | 0.989344 | − | 0.145599i | \(-0.0465111\pi\) |
0.455274 | + | 0.890351i | \(0.349541\pi\) | |||||||
\(948\) | 27.8285 | + | 11.1409i | 0.903828 | + | 0.361838i | ||||
\(949\) | 44.2793 | − | 22.8276i | 1.43737 | − | 0.741015i | ||||
\(950\) | 97.5007 | − | 9.31019i | 3.16334 | − | 0.302062i | ||||
\(951\) | 6.84997 | − | 7.90529i | 0.222126 | − | 0.256347i | ||||
\(952\) | −8.01745 | − | 11.6233i | −0.259847 | − | 0.376715i | ||||
\(953\) | −6.97572 | − | 15.2747i | −0.225966 | − | 0.494796i | 0.762360 | − | 0.647153i | \(-0.224041\pi\) |
−0.988325 | + | 0.152358i | \(0.951313\pi\) | |||||||
\(954\) | −2.39888 | − | 9.88832i | −0.0776666 | − | 0.320146i | ||||
\(955\) | 13.5932 | − | 12.9611i | 0.439864 | − | 0.419410i | ||||
\(956\) | −5.66264 | − | 0.540716i | −0.183143 | − | 0.0174880i | ||||
\(957\) | −22.4527 | + | 8.98871i | −0.725793 | + | 0.290564i | ||||
\(958\) | 66.5607 | − | 76.8151i | 2.15048 | − | 2.48178i | ||||
\(959\) | −2.80582 | − | 8.51735i | −0.0906048 | − | 0.275040i | ||||
\(960\) | −35.2125 | − | 22.6297i | −1.13648 | − | 0.730370i | ||||
\(961\) | 6.42956 | − | 5.05626i | 0.207405 | − | 0.163105i | ||||
\(962\) | 0.146679 | + | 3.07917i | 0.00472911 | + | 0.0992763i | ||||
\(963\) | −3.60801 | + | 0.695388i | −0.116267 | + | 0.0224086i | ||||
\(964\) | −17.5368 | − | 16.7213i | −0.564822 | − | 0.538557i | ||||
\(965\) | 19.2277 | 0.618962 | ||||||||
\(966\) | 3.93481 | − | 29.7402i | 0.126600 | − | 0.956877i | ||||
\(967\) | 11.7296 | 0.377197 | 0.188599 | − | 0.982054i | \(-0.439605\pi\) | ||||
0.188599 | + | 0.982054i | \(0.439605\pi\) | |||||||
\(968\) | 27.5985 | + | 26.3151i | 0.887049 | + | 0.845799i | ||||
\(969\) | −7.29259 | + | 1.40553i | −0.234272 | + | 0.0451522i | ||||
\(970\) | 2.29197 | + | 48.1144i | 0.0735907 | + | 1.54486i | ||||
\(971\) | 4.15818 | − | 3.27003i | 0.133442 | − | 0.104940i | −0.549207 | − | 0.835686i | \(-0.685070\pi\) |
0.682649 | + | 0.730746i | \(0.260828\pi\) | |||||||
\(972\) | −3.01997 | − | 1.94082i | −0.0968655 | − | 0.0622517i | ||||
\(973\) | −16.1239 | + | 18.0547i | −0.516910 | + | 0.578806i | ||||
\(974\) | −1.38273 | + | 1.59575i | −0.0443055 | + | 0.0511313i | ||||
\(975\) | −38.9866 | + | 15.6079i | −1.24857 | + | 0.499852i | ||||
\(976\) | −19.5991 | − | 1.87148i | −0.627350 | − | 0.0599047i | ||||
\(977\) | −26.3508 | + | 25.1254i | −0.843037 | + | 0.803834i | −0.982475 | − | 0.186397i | \(-0.940319\pi\) |
0.139437 | + | 0.990231i | \(0.455471\pi\) | |||||||
\(978\) | −1.97545 | − | 8.14293i | −0.0631680 | − | 0.260382i | ||||
\(979\) | −6.19590 | − | 13.5671i | −0.198022 | − | 0.433607i | ||||
\(980\) | 61.1665 | − | 66.4608i | 1.95389 | − | 2.12301i | ||||
\(981\) | −4.56920 | + | 5.27314i | −0.145883 | + | 0.168358i | ||||
\(982\) | −1.26719 | + | 0.121002i | −0.0404378 | + | 0.00386134i | ||||
\(983\) | −19.6016 | + | 10.1053i | −0.625194 | + | 0.322310i | −0.741550 | − | 0.670898i | \(-0.765909\pi\) |
0.116356 | + | 0.993208i | \(0.462879\pi\) | |||||||
\(984\) | −23.4995 | − | 9.40780i | −0.749138 | − | 0.299910i | ||||
\(985\) | 19.4783 | + | 10.0417i | 0.620629 | + | 0.319957i | ||||
\(986\) | −11.5620 | − | 13.3433i | −0.368209 | − | 0.424936i | ||||
\(987\) | −21.0943 | − | 0.315821i | −0.671440 | − | 0.0100527i | ||||
\(988\) | −99.5673 | −3.16766 | ||||||||
\(989\) | −50.2216 | + | 16.1886i | −1.59696 | + | 0.514769i | ||||
\(990\) | −19.5390 | + | 33.8425i | −0.620990 | + | 1.07559i | ||||
\(991\) | 0.535029 | − | 2.20542i | 0.0169958 | − | 0.0700575i | −0.962682 | − | 0.270634i | \(-0.912767\pi\) |
0.979678 | + | 0.200577i | \(0.0642817\pi\) | |||||||
\(992\) | 5.43908 | − | 15.7152i | 0.172691 | − | 0.498958i | ||||
\(993\) | 23.7944 | − | 15.2917i | 0.755093 | − | 0.485269i | ||||
\(994\) | −69.1044 | + | 26.4719i | −2.19186 | + | 0.839639i | ||||
\(995\) | −38.7899 | − | 24.9287i | −1.22972 | − | 0.790294i | ||||
\(996\) | 10.6392 | − | 1.01592i | 0.337116 | − | 0.0321907i | ||||
\(997\) | 15.4670 | + | 44.6889i | 0.489845 | + | 1.41531i | 0.871220 | + | 0.490893i | \(0.163329\pi\) |
−0.381375 | + | 0.924420i | \(0.624549\pi\) | |||||||
\(998\) | 65.8875 | + | 51.8145i | 2.08563 | + | 1.64016i | ||||
\(999\) | −0.142632 | + | 0.200299i | −0.00451268 | + | 0.00633718i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.a.193.15 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.a.331.15 | yes | 320 | |
23.18 | even | 11 | inner | 483.2.y.a.340.15 | yes | 320 | |
161.156 | even | 33 | inner | 483.2.y.a.478.15 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.a.193.15 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.a.331.15 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.a.340.15 | yes | 320 | 23.18 | even | 11 | inner | |
483.2.y.a.478.15 | yes | 320 | 161.156 | even | 33 | inner |