Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(11,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.u (of order \(6\), degree \(2\), 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: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 456.11 |
Dual form | 456.2.u.d.83.16 |
$q$-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 \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07067 | − | 0.923935i | −0.757081 | − | 0.653321i | ||||
\(3\) | 0.703983 | − | 1.58253i | 0.406445 | − | 0.913675i | ||||
\(4\) | 0.292687 | + | 1.97847i | 0.146344 | + | 0.989234i | ||||
\(5\) | −1.52878 | + | 2.64792i | −0.683691 | + | 1.18419i | 0.290155 | + | 0.956980i | \(0.406293\pi\) |
−0.973846 | + | 0.227208i | \(0.927040\pi\) | |||||||
\(6\) | −2.21589 | + | 1.04394i | −0.904635 | + | 0.426187i | ||||
\(7\) | − | 2.32537i | − | 0.878908i | −0.898265 | − | 0.439454i | \(-0.855172\pi\) | ||
0.898265 | − | 0.439454i | \(-0.144828\pi\) | |||||||
\(8\) | 1.51460 | − | 2.38872i | 0.535493 | − | 0.844539i | ||||
\(9\) | −2.00882 | − | 2.22815i | −0.669605 | − | 0.742717i | ||||
\(10\) | 4.08334 | − | 1.42257i | 1.29126 | − | 0.449856i | ||||
\(11\) | − | 1.59767i | − | 0.481714i | −0.970561 | − | 0.240857i | \(-0.922571\pi\) | ||
0.970561 | − | 0.240857i | \(-0.0774285\pi\) | |||||||
\(12\) | 3.33704 | + | 0.929621i | 0.963319 | + | 0.268359i | ||||
\(13\) | −3.06692 | + | 1.77069i | −0.850611 | + | 0.491100i | −0.860857 | − | 0.508847i | \(-0.830072\pi\) |
0.0102461 | + | 0.999948i | \(0.496739\pi\) | |||||||
\(14\) | −2.14849 | + | 2.48972i | −0.574209 | + | 0.665404i | ||||
\(15\) | 3.11419 | + | 4.28344i | 0.804081 | + | 1.10598i | ||||
\(16\) | −3.82867 | + | 1.15814i | −0.957167 | + | 0.289536i | ||||
\(17\) | −2.45821 | − | 1.41925i | −0.596205 | − | 0.344219i | 0.171342 | − | 0.985212i | \(-0.445190\pi\) |
−0.767547 | + | 0.640993i | \(0.778523\pi\) | |||||||
\(18\) | 0.0921191 | + | 4.24164i | 0.0217127 | + | 0.999764i | ||||
\(19\) | −0.478692 | − | 4.33253i | −0.109820 | − | 0.993952i | ||||
\(20\) | −5.68629 | − | 2.24963i | −1.27149 | − | 0.503032i | ||||
\(21\) | −3.67997 | − | 1.63702i | −0.803036 | − | 0.357228i | ||||
\(22\) | −1.47614 | + | 1.71058i | −0.314714 | + | 0.364697i | ||||
\(23\) | −2.62710 | − | 4.55027i | −0.547789 | − | 0.948798i | −0.998426 | − | 0.0560904i | \(-0.982136\pi\) |
0.450637 | − | 0.892707i | \(-0.351197\pi\) | |||||||
\(24\) | −2.71397 | − | 4.07853i | −0.553986 | − | 0.832526i | ||||
\(25\) | −2.17434 | − | 3.76606i | −0.434867 | − | 0.753212i | ||||
\(26\) | 4.91967 | + | 0.937807i | 0.964828 | + | 0.183919i | ||||
\(27\) | −4.94029 | + | 1.61043i | −0.950760 | + | 0.309928i | ||||
\(28\) | 4.60067 | − | 0.680606i | 0.869445 | − | 0.128622i | ||||
\(29\) | −3.36504 | − | 5.82841i | −0.624872 | − | 1.08231i | −0.988566 | − | 0.150791i | \(-0.951818\pi\) |
0.363694 | − | 0.931518i | \(-0.381515\pi\) | |||||||
\(30\) | 0.623336 | − | 7.46348i | 0.113805 | − | 1.36264i | ||||
\(31\) | − | 0.183320i | − | 0.0329252i | −0.999864 | − | 0.0164626i | \(-0.994760\pi\) | ||
0.999864 | − | 0.0164626i | \(-0.00524045\pi\) | |||||||
\(32\) | 5.16931 | + | 2.29745i | 0.913813 | + | 0.406135i | ||||
\(33\) | −2.52836 | − | 1.12473i | −0.440130 | − | 0.195790i | ||||
\(34\) | 1.32065 | + | 3.79079i | 0.226490 | + | 0.650115i | ||||
\(35\) | 6.15741 | + | 3.55498i | 1.04079 | + | 0.600902i | ||||
\(36\) | 3.82037 | − | 4.62653i | 0.636729 | − | 0.771088i | ||||
\(37\) | 9.54314i | 1.56888i | 0.620203 | + | 0.784441i | \(0.287050\pi\) | ||||
−0.620203 | + | 0.784441i | \(0.712950\pi\) | |||||||
\(38\) | −3.49046 | + | 5.08101i | −0.566227 | + | 0.824249i | ||||
\(39\) | 0.643109 | + | 6.10003i | 0.102980 | + | 0.976787i | ||||
\(40\) | 4.00965 | + | 7.66238i | 0.633981 | + | 1.21153i | ||||
\(41\) | −7.72651 | − | 4.46090i | −1.20668 | − | 0.696676i | −0.244646 | − | 0.969612i | \(-0.578672\pi\) |
−0.962032 | + | 0.272937i | \(0.912005\pi\) | |||||||
\(42\) | 2.42755 | + | 5.15278i | 0.374579 | + | 0.795091i | ||||
\(43\) | −2.14446 | + | 3.71432i | −0.327027 | + | 0.566428i | −0.981921 | − | 0.189293i | \(-0.939380\pi\) |
0.654893 | + | 0.755721i | \(0.272714\pi\) | |||||||
\(44\) | 3.16093 | − | 0.467616i | 0.476528 | − | 0.0704958i | ||||
\(45\) | 8.97102 | − | 1.91284i | 1.33732 | − | 0.285149i | ||||
\(46\) | −1.39139 | + | 7.29913i | −0.205149 | + | 1.07620i | ||||
\(47\) | −1.18924 | − | 2.05982i | −0.173468 | − | 0.300455i | 0.766162 | − | 0.642647i | \(-0.222164\pi\) |
−0.939630 | + | 0.342192i | \(0.888831\pi\) | |||||||
\(48\) | −0.862519 | + | 6.87430i | −0.124494 | + | 0.992220i | ||||
\(49\) | 1.59265 | 0.227521 | ||||||||
\(50\) | −1.15159 | + | 6.04117i | −0.162860 | + | 0.854351i | ||||
\(51\) | −3.97655 | + | 2.89107i | −0.556829 | + | 0.404831i | ||||
\(52\) | −4.40090 | − | 5.54955i | −0.610295 | − | 0.769584i | ||||
\(53\) | 3.76838 | + | 6.52703i | 0.517627 | + | 0.896557i | 0.999790 | + | 0.0204755i | \(0.00651801\pi\) |
−0.482163 | + | 0.876082i | \(0.660149\pi\) | |||||||
\(54\) | 6.77738 | + | 2.84026i | 0.922285 | + | 0.386511i | ||||
\(55\) | 4.23050 | + | 2.44248i | 0.570440 | + | 0.329344i | ||||
\(56\) | −5.55466 | − | 3.52202i | −0.742272 | − | 0.470649i | ||||
\(57\) | −7.19337 | − | 2.29248i | −0.952785 | − | 0.303647i | ||||
\(58\) | −1.78222 | + | 9.34941i | −0.234017 | + | 1.22764i | ||||
\(59\) | 7.63836 | + | 4.41001i | 0.994430 | + | 0.574134i | 0.906596 | − | 0.422001i | \(-0.138672\pi\) |
0.0878345 | + | 0.996135i | \(0.472005\pi\) | |||||||
\(60\) | −7.56316 | + | 7.41503i | −0.976400 | + | 0.957276i | ||||
\(61\) | 10.6923 | − | 6.17319i | 1.36901 | − | 0.790395i | 0.378204 | − | 0.925722i | \(-0.376542\pi\) |
0.990801 | + | 0.135327i | \(0.0432084\pi\) | |||||||
\(62\) | −0.169376 | + | 0.196276i | −0.0215107 | + | 0.0249270i | ||||
\(63\) | −5.18128 | + | 4.67124i | −0.652780 | + | 0.588521i | ||||
\(64\) | −3.41195 | − | 7.23592i | −0.426494 | − | 0.904490i | ||||
\(65\) | − | 10.8280i | − | 1.34304i | ||||||
\(66\) | 1.66787 | + | 3.54026i | 0.205301 | + | 0.435776i | ||||
\(67\) | −2.73899 | − | 4.74407i | −0.334621 | − | 0.579580i | 0.648791 | − | 0.760966i | \(-0.275275\pi\) |
−0.983412 | + | 0.181386i | \(0.941942\pi\) | |||||||
\(68\) | 2.08845 | − | 5.27889i | 0.253262 | − | 0.640160i | ||||
\(69\) | −9.05039 | + | 0.954157i | −1.08954 | + | 0.114867i | ||||
\(70\) | −3.30801 | − | 9.49527i | −0.395382 | − | 1.13490i | ||||
\(71\) | 2.38111 | − | 4.12421i | 0.282586 | − | 0.489453i | −0.689435 | − | 0.724348i | \(-0.742141\pi\) |
0.972021 | + | 0.234894i | \(0.0754744\pi\) | |||||||
\(72\) | −8.36499 | + | 1.42373i | −0.985823 | + | 0.167788i | ||||
\(73\) | 0.471204 | − | 0.816150i | 0.0551503 | − | 0.0955231i | −0.837132 | − | 0.547001i | \(-0.815770\pi\) |
0.892283 | + | 0.451477i | \(0.149103\pi\) | |||||||
\(74\) | 8.81724 | − | 10.2176i | 1.02498 | − | 1.18777i | ||||
\(75\) | −7.49061 | + | 0.789714i | −0.864941 | + | 0.0911883i | ||||
\(76\) | 8.43167 | − | 2.21515i | 0.967179 | − | 0.254096i | ||||
\(77\) | −3.71517 | −0.423382 | ||||||||
\(78\) | 4.94748 | − | 7.12534i | 0.560191 | − | 0.806786i | ||||
\(79\) | −13.6753 | − | 7.89546i | −1.53860 | − | 0.888309i | −0.998921 | − | 0.0464355i | \(-0.985214\pi\) |
−0.539675 | − | 0.841873i | \(-0.681453\pi\) | |||||||
\(80\) | 2.78651 | − | 11.9086i | 0.311542 | − | 1.33142i | ||||
\(81\) | −0.929320 | + | 8.95189i | −0.103258 | + | 0.994655i | ||||
\(82\) | 4.15099 | + | 11.9150i | 0.458400 | + | 1.31579i | ||||
\(83\) | 8.26352i | 0.907039i | 0.891246 | + | 0.453519i | \(0.149832\pi\) | ||||
−0.891246 | + | 0.453519i | \(0.850168\pi\) | |||||||
\(84\) | 2.16171 | − | 7.75985i | 0.235862 | − | 0.846669i | ||||
\(85\) | 7.51614 | − | 4.33944i | 0.815240 | − | 0.470679i | ||||
\(86\) | 5.72781 | − | 1.99548i | 0.617646 | − | 0.215178i | ||||
\(87\) | −11.5926 | + | 1.22217i | −1.24286 | + | 0.131031i | ||||
\(88\) | −3.81637 | − | 2.41983i | −0.406827 | − | 0.257955i | ||||
\(89\) | 13.4259 | − | 7.75144i | 1.42314 | − | 0.821651i | 0.426576 | − | 0.904452i | \(-0.359720\pi\) |
0.996566 | + | 0.0828003i | \(0.0263864\pi\) | |||||||
\(90\) | −11.3724 | − | 6.24061i | −1.19875 | − | 0.657818i | ||||
\(91\) | 4.11751 | + | 7.13173i | 0.431632 | + | 0.747609i | ||||
\(92\) | 8.23365 | − | 6.52944i | 0.858417 | − | 0.680741i | ||||
\(93\) | −0.290109 | − | 0.129054i | −0.0300829 | − | 0.0133823i | ||||
\(94\) | −0.629853 | + | 3.30417i | −0.0649644 | + | 0.340799i | ||||
\(95\) | 12.2040 | + | 5.35595i | 1.25211 | + | 0.549509i | ||||
\(96\) | 7.27489 | − | 6.56323i | 0.742490 | − | 0.669857i | ||||
\(97\) | 0.397803 | − | 0.689015i | 0.0403907 | − | 0.0699588i | −0.845123 | − | 0.534571i | \(-0.820473\pi\) |
0.885514 | + | 0.464613i | \(0.153806\pi\) | |||||||
\(98\) | −1.70521 | − | 1.47150i | −0.172252 | − | 0.148644i | ||||
\(99\) | −3.55984 | + | 3.20942i | −0.357778 | + | 0.322558i | ||||
\(100\) | 6.81463 | − | 5.40413i | 0.681463 | − | 0.540413i | ||||
\(101\) | −1.74326 | − | 3.01942i | −0.173461 | − | 0.300443i | 0.766167 | − | 0.642642i | \(-0.222162\pi\) |
−0.939628 | + | 0.342199i | \(0.888828\pi\) | |||||||
\(102\) | 6.92876 | + | 0.578677i | 0.686049 | + | 0.0572976i | ||||
\(103\) | 2.74073i | 0.270052i | 0.990842 | + | 0.135026i | \(0.0431119\pi\) | ||||
−0.990842 | + | 0.135026i | \(0.956888\pi\) | |||||||
\(104\) | −0.415496 | + | 10.0079i | −0.0407427 | + | 0.981355i | ||||
\(105\) | 9.96058 | − | 7.24165i | 0.972053 | − | 0.706713i | ||||
\(106\) | 1.99584 | − | 10.4701i | 0.193854 | − | 1.01694i | ||||
\(107\) | 3.91415i | 0.378395i | 0.981939 | + | 0.189198i | \(0.0605886\pi\) | ||||
−0.981939 | + | 0.189198i | \(0.939411\pi\) | |||||||
\(108\) | −4.63215 | − | 9.30286i | −0.445729 | − | 0.895168i | ||||
\(109\) | −16.6876 | − | 9.63461i | −1.59838 | − | 0.922828i | −0.991799 | − | 0.127810i | \(-0.959205\pi\) |
−0.606586 | − | 0.795018i | \(-0.707461\pi\) | |||||||
\(110\) | −2.27279 | − | 6.52381i | −0.216702 | − | 0.622021i | ||||
\(111\) | 15.1023 | + | 6.71821i | 1.43345 | + | 0.637664i | ||||
\(112\) | 2.69311 | + | 8.90308i | 0.254475 | + | 0.841262i | ||||
\(113\) | − | 4.55402i | − | 0.428406i | −0.976789 | − | 0.214203i | \(-0.931285\pi\) | ||
0.976789 | − | 0.214203i | \(-0.0687154\pi\) | |||||||
\(114\) | 5.58364 | + | 9.10071i | 0.522956 | + | 0.852360i | ||||
\(115\) | 16.0650 | 1.49807 | ||||||||
\(116\) | 10.5464 | − | 8.36352i | 0.979211 | − | 0.776533i | ||||
\(117\) | 10.1062 | + | 3.27658i | 0.934322 | + | 0.302920i | ||||
\(118\) | −4.10363 | − | 11.7790i | −0.377770 | − | 1.08435i | ||||
\(119\) | −3.30029 | + | 5.71626i | −0.302537 | + | 0.524009i | ||||
\(120\) | 14.9487 | − | 0.951213i | 1.36462 | − | 0.0868335i | ||||
\(121\) | 8.44746 | 0.767951 | ||||||||
\(122\) | −17.1516 | − | 3.26950i | −1.55283 | − | 0.296006i | ||||
\(123\) | −12.4989 | + | 9.08705i | −1.12698 | + | 0.819352i | ||||
\(124\) | 0.362692 | − | 0.0536553i | 0.0325707 | − | 0.00481839i | ||||
\(125\) | −1.99147 | −0.178122 | ||||||||
\(126\) | 9.86339 | − | 0.214211i | 0.878701 | − | 0.0190834i | ||||
\(127\) | 4.59173 | − | 2.65104i | 0.407450 | − | 0.235241i | −0.282243 | − | 0.959343i | \(-0.591079\pi\) |
0.689693 | + | 0.724101i | \(0.257745\pi\) | |||||||
\(128\) | −3.03244 | + | 10.8997i | −0.268032 | + | 0.963410i | ||||
\(129\) | 4.36836 | + | 6.00850i | 0.384613 | + | 0.529019i | ||||
\(130\) | −10.0043 | + | 11.5932i | −0.877439 | + | 1.01679i | ||||
\(131\) | 16.7656 | + | 9.67963i | 1.46482 | + | 0.845714i | 0.999228 | − | 0.0392864i | \(-0.0125085\pi\) |
0.465591 | + | 0.885000i | \(0.345842\pi\) | |||||||
\(132\) | 1.48522 | − | 5.33147i | 0.129272 | − | 0.464045i | ||||
\(133\) | −10.0748 | + | 1.11314i | −0.873592 | + | 0.0965213i | ||||
\(134\) | −1.45065 | + | 7.61000i | −0.125317 | + | 0.657404i | ||||
\(135\) | 3.28832 | − | 15.5435i | 0.283013 | − | 1.33777i | ||||
\(136\) | −7.11341 | + | 3.72238i | −0.609970 | + | 0.319191i | ||||
\(137\) | 1.99877 | − | 1.15399i | 0.170766 | − | 0.0985918i | −0.412181 | − | 0.911102i | \(-0.635233\pi\) |
0.582947 | + | 0.812510i | \(0.301900\pi\) | |||||||
\(138\) | 10.5716 | + | 7.34038i | 0.899914 | + | 0.624855i | ||||
\(139\) | −6.93403 | − | 12.0101i | −0.588136 | − | 1.01868i | −0.994476 | − | 0.104960i | \(-0.966528\pi\) |
0.406340 | − | 0.913722i | \(-0.366805\pi\) | |||||||
\(140\) | −5.23122 | + | 13.2227i | −0.442119 | + | 1.11752i | ||||
\(141\) | −4.09693 | + | 0.431927i | −0.345024 | + | 0.0363748i | ||||
\(142\) | −6.35990 | + | 2.21569i | −0.533711 | + | 0.185937i | ||||
\(143\) | 2.82897 | + | 4.89991i | 0.236570 | + | 0.409751i | ||||
\(144\) | 10.2716 | + | 6.20436i | 0.855967 | + | 0.517030i | ||||
\(145\) | 20.5776 | 1.70888 | ||||||||
\(146\) | −1.25858 | + | 0.438468i | −0.104160 | + | 0.0362879i | ||||
\(147\) | 1.12120 | − | 2.52042i | 0.0924748 | − | 0.207880i | ||||
\(148\) | −18.8808 | + | 2.79315i | −1.55199 | + | 0.229596i | ||||
\(149\) | 10.6301 | − | 18.4119i | 0.870853 | − | 1.50836i | 0.00973639 | − | 0.999953i | \(-0.496901\pi\) |
0.861116 | − | 0.508408i | \(-0.169766\pi\) | |||||||
\(150\) | 8.74965 | + | 6.07531i | 0.714406 | + | 0.496047i | ||||
\(151\) | − | 8.42696i | − | 0.685776i | −0.939376 | − | 0.342888i | \(-0.888595\pi\) | ||
0.939376 | − | 0.342888i | \(-0.111405\pi\) | |||||||
\(152\) | −11.0742 | − | 5.41861i | −0.898239 | − | 0.439507i | ||||
\(153\) | 1.77579 | + | 8.32829i | 0.143564 | + | 0.673302i | ||||
\(154\) | 3.97773 | + | 3.43257i | 0.320535 | + | 0.276605i | ||||
\(155\) | 0.485417 | + | 0.280256i | 0.0389896 | + | 0.0225107i | ||||
\(156\) | −11.8805 | + | 3.05777i | −0.951201 | + | 0.244818i | ||||
\(157\) | 1.93574 | + | 1.11760i | 0.154489 | + | 0.0891944i | 0.575252 | − | 0.817976i | \(-0.304904\pi\) |
−0.420763 | + | 0.907171i | \(0.638237\pi\) | |||||||
\(158\) | 7.34694 | + | 21.0886i | 0.584491 | + | 1.67772i | ||||
\(159\) | 12.9821 | − | 1.36867i | 1.02955 | − | 0.108542i | ||||
\(160\) | −13.9862 | + | 10.1756i | −1.10571 | + | 0.804455i | ||||
\(161\) | −10.5811 | + | 6.10899i | −0.833906 | + | 0.481456i | ||||
\(162\) | 9.26597 | − | 8.72593i | 0.728003 | − | 0.685574i | ||||
\(163\) | 12.3222 | 0.965147 | 0.482574 | − | 0.875855i | \(-0.339702\pi\) | ||||
0.482574 | + | 0.875855i | \(0.339702\pi\) | |||||||
\(164\) | 6.56430 | − | 16.5923i | 0.512586 | − | 1.29564i | ||||
\(165\) | 6.84350 | − | 4.97544i | 0.532766 | − | 0.387337i | ||||
\(166\) | 7.63495 | − | 8.84753i | 0.592587 | − | 0.686702i | ||||
\(167\) | −2.66564 | − | 4.61702i | −0.206273 | − | 0.357276i | 0.744264 | − | 0.667885i | \(-0.232800\pi\) |
−0.950538 | + | 0.310609i | \(0.899467\pi\) | |||||||
\(168\) | −9.48409 | + | 6.31098i | −0.731713 | + | 0.486903i | ||||
\(169\) | −0.229331 | + | 0.397212i | −0.0176408 | + | 0.0305548i | ||||
\(170\) | −12.0567 | − | 2.29829i | −0.924707 | − | 0.176271i | ||||
\(171\) | −8.69194 | + | 9.76986i | −0.664689 | + | 0.747120i | ||||
\(172\) | −7.97631 | − | 3.15562i | −0.608188 | − | 0.240613i | ||||
\(173\) | −12.2325 | + | 21.1872i | −0.930017 | + | 1.61084i | −0.146729 | + | 0.989177i | \(0.546875\pi\) |
−0.783287 | + | 0.621660i | \(0.786459\pi\) | |||||||
\(174\) | 13.5411 | + | 9.40225i | 1.02655 | + | 0.712783i | ||||
\(175\) | −8.75749 | + | 5.05614i | −0.662004 | + | 0.382208i | ||||
\(176\) | 1.85033 | + | 6.11693i | 0.139474 | + | 0.461081i | ||||
\(177\) | 12.3563 | − | 8.98338i | 0.928753 | − | 0.675232i | ||||
\(178\) | −21.5366 | − | 4.10539i | −1.61424 | − | 0.307712i | ||||
\(179\) | 5.59775i | 0.418396i | 0.977873 | + | 0.209198i | \(0.0670853\pi\) | ||||
−0.977873 | + | 0.209198i | \(0.932915\pi\) | |||||||
\(180\) | 6.41019 | + | 17.1890i | 0.477787 | + | 1.28119i | ||||
\(181\) | −12.1054 | + | 6.98903i | −0.899784 | + | 0.519491i | −0.877130 | − | 0.480253i | \(-0.840545\pi\) |
−0.0226541 | + | 0.999743i | \(0.507212\pi\) | |||||||
\(182\) | 2.18075 | − | 11.4401i | 0.161648 | − | 0.847994i | ||||
\(183\) | −2.24209 | − | 21.2667i | −0.165740 | − | 1.57208i | ||||
\(184\) | −14.8483 | − | 0.616455i | −1.09463 | − | 0.0454457i | ||||
\(185\) | −25.2695 | − | 14.5894i | −1.85785 | − | 1.07263i | ||||
\(186\) | 0.191375 | + | 0.406217i | 0.0140323 | + | 0.0297853i | ||||
\(187\) | −2.26749 | + | 3.92740i | −0.165815 | + | 0.287200i | ||||
\(188\) | 3.72721 | − | 2.95575i | 0.271834 | − | 0.215570i | ||||
\(189\) | 3.74486 | + | 11.4880i | 0.272398 | + | 0.835630i | ||||
\(190\) | −8.11800 | − | 17.0102i | −0.588942 | − | 1.23405i | ||||
\(191\) | 7.36427 | 0.532860 | 0.266430 | − | 0.963854i | \(-0.414156\pi\) | ||||
0.266430 | + | 0.963854i | \(0.414156\pi\) | |||||||
\(192\) | −13.8530 | + | 0.305555i | −0.999757 | + | 0.0220515i | ||||
\(193\) | 1.90362 | − | 3.29716i | 0.137025 | − | 0.237335i | −0.789344 | − | 0.613951i | \(-0.789579\pi\) |
0.926369 | + | 0.376616i | \(0.122912\pi\) | |||||||
\(194\) | −1.06252 | + | 0.370166i | −0.0762846 | + | 0.0265764i | ||||
\(195\) | −17.1356 | − | 7.62271i | −1.22711 | − | 0.545873i | ||||
\(196\) | 0.466147 | + | 3.15100i | 0.0332962 | + | 0.225072i | ||||
\(197\) | 1.07852 | 0.0768414 | 0.0384207 | − | 0.999262i | \(-0.487767\pi\) | ||||
0.0384207 | + | 0.999262i | \(0.487767\pi\) | |||||||
\(198\) | 6.77672 | − | 0.147176i | 0.481601 | − | 0.0104593i | ||||
\(199\) | 11.6223 | − | 6.71017i | 0.823886 | − | 0.475671i | −0.0278684 | − | 0.999612i | \(-0.508872\pi\) |
0.851755 | + | 0.523941i | \(0.175539\pi\) | |||||||
\(200\) | −12.2893 | − | 0.510213i | −0.868986 | − | 0.0360775i | ||||
\(201\) | −9.43584 | + | 0.994794i | −0.665553 | + | 0.0701673i | ||||
\(202\) | −0.923281 | + | 4.84347i | −0.0649618 | + | 0.340786i | ||||
\(203\) | −13.5532 | + | 7.82496i | −0.951250 | + | 0.549205i | ||||
\(204\) | −6.88378 | − | 7.02130i | −0.481961 | − | 0.491589i | ||||
\(205\) | 23.6243 | − | 13.6395i | 1.64999 | − | 0.952622i | ||||
\(206\) | 2.53226 | − | 2.93443i | 0.176431 | − | 0.204452i | ||||
\(207\) | −4.86134 | + | 14.9942i | −0.337886 | + | 1.04217i | ||||
\(208\) | 9.69151 | − | 10.3313i | 0.671986 | − | 0.716348i | ||||
\(209\) | −6.92194 | + | 0.764790i | −0.478801 | + | 0.0529017i | ||||
\(210\) | −17.3554 | − | 1.44949i | −1.19763 | − | 0.100024i | ||||
\(211\) | −4.40018 | + | 7.62134i | −0.302921 | + | 0.524675i | −0.976796 | − | 0.214170i | \(-0.931295\pi\) |
0.673875 | + | 0.738845i | \(0.264629\pi\) | |||||||
\(212\) | −11.8106 | + | 9.36601i | −0.811153 | + | 0.643260i | ||||
\(213\) | −4.85043 | − | 6.67156i | −0.332346 | − | 0.457128i | ||||
\(214\) | 3.61642 | − | 4.19078i | 0.247213 | − | 0.286476i | ||||
\(215\) | −6.55682 | − | 11.3567i | −0.447171 | − | 0.774524i | ||||
\(216\) | −3.63571 | + | 14.2401i | −0.247379 | + | 0.968919i | ||||
\(217\) | −0.426287 | −0.0289382 | ||||||||
\(218\) | 8.96526 | + | 25.7338i | 0.607204 | + | 1.74291i | ||||
\(219\) | −0.959863 | − | 1.32025i | −0.0648615 | − | 0.0892143i | ||||
\(220\) | −3.59415 | + | 9.08479i | −0.242318 | + | 0.612496i | ||||
\(221\) | 10.0522 | 0.676184 | ||||||||
\(222\) | −9.96248 | − | 21.1466i | −0.668638 | − | 1.41927i | ||||
\(223\) | 21.1334 | + | 12.2014i | 1.41520 | + | 0.817064i | 0.995872 | − | 0.0907716i | \(-0.0289333\pi\) |
0.419325 | + | 0.907836i | \(0.362267\pi\) | |||||||
\(224\) | 5.34242 | − | 12.0206i | 0.356955 | − | 0.803157i | ||||
\(225\) | −4.02352 | + | 12.4101i | −0.268234 | + | 0.827338i | ||||
\(226\) | −4.20762 | + | 4.87587i | −0.279887 | + | 0.324338i | ||||
\(227\) | − | 27.0923i | − | 1.79818i | −0.437762 | − | 0.899091i | \(-0.644229\pi\) | ||
0.437762 | − | 0.899091i | \(-0.355771\pi\) | |||||||
\(228\) | 2.43020 | − | 14.9028i | 0.160944 | − | 0.986964i | ||||
\(229\) | 2.47490i | 0.163546i | 0.996651 | + | 0.0817731i | \(0.0260583\pi\) | ||||
−0.996651 | + | 0.0817731i | \(0.973942\pi\) | |||||||
\(230\) | −17.2004 | − | 14.8431i | −1.13416 | − | 0.978722i | ||||
\(231\) | −2.61541 | + | 5.87937i | −0.172082 | + | 0.386834i | ||||
\(232\) | −19.0191 | − | 0.789613i | −1.24867 | − | 0.0518406i | ||||
\(233\) | −0.255230 | − | 0.147357i | −0.0167206 | − | 0.00965367i | 0.491616 | − | 0.870812i | \(-0.336406\pi\) |
−0.508337 | + | 0.861158i | \(0.669740\pi\) | |||||||
\(234\) | −7.79314 | − | 12.8457i | −0.509454 | − | 0.839747i | ||||
\(235\) | 7.27232 | 0.474394 | ||||||||
\(236\) | −6.48941 | + | 16.4030i | −0.422425 | + | 1.06774i | ||||
\(237\) | −22.1220 | + | 16.0834i | −1.43698 | + | 1.04473i | ||||
\(238\) | 8.81499 | − | 3.07100i | 0.571391 | − | 0.199064i | ||||
\(239\) | −16.2187 | −1.04910 | −0.524549 | − | 0.851380i | \(-0.675766\pi\) | ||||
−0.524549 | + | 0.851380i | \(0.675766\pi\) | |||||||
\(240\) | −16.8840 | − | 12.7932i | −1.08986 | − | 0.825796i | ||||
\(241\) | 13.5618 | + | 23.4897i | 0.873592 | + | 1.51311i | 0.858255 | + | 0.513223i | \(0.171549\pi\) |
0.0153367 | + | 0.999882i | \(0.495118\pi\) | |||||||
\(242\) | −9.04448 | − | 7.80491i | −0.581401 | − | 0.501719i | ||||
\(243\) | 13.5124 | + | 7.77266i | 0.866823 | + | 0.498616i | ||||
\(244\) | 15.3429 | + | 19.3475i | 0.982231 | + | 1.23860i | ||||
\(245\) | −2.43481 | + | 4.21721i | −0.155554 | + | 0.269428i | ||||
\(246\) | 21.7780 | + | 1.81886i | 1.38852 | + | 0.115966i | ||||
\(247\) | 9.13968 | + | 12.4399i | 0.581544 | + | 0.791534i | ||||
\(248\) | −0.437899 | − | 0.277657i | −0.0278066 | − | 0.0176312i | ||||
\(249\) | 13.0773 | + | 5.81738i | 0.828739 | + | 0.368661i | ||||
\(250\) | 2.13222 | + | 1.83999i | 0.134853 | + | 0.116371i | ||||
\(251\) | 10.4624 | − | 6.04048i | 0.660382 | − | 0.381272i | −0.132040 | − | 0.991244i | \(-0.542153\pi\) |
0.792423 | + | 0.609973i | \(0.208820\pi\) | |||||||
\(252\) | −10.7584 | − | 8.88378i | −0.677715 | − | 0.559626i | ||||
\(253\) | −7.26982 | + | 4.19723i | −0.457049 | + | 0.263878i | ||||
\(254\) | −7.36563 | − | 1.40406i | −0.462161 | − | 0.0880988i | ||||
\(255\) | −1.57608 | − | 14.9494i | −0.0986977 | − | 0.936169i | ||||
\(256\) | 13.3174 | − | 8.86830i | 0.832338 | − | 0.554269i | ||||
\(257\) | −8.21495 | + | 4.74290i | −0.512434 | + | 0.295854i | −0.733834 | − | 0.679329i | \(-0.762271\pi\) |
0.221399 | + | 0.975183i | \(0.428938\pi\) | |||||||
\(258\) | 0.874370 | − | 10.4692i | 0.0544359 | − | 0.651785i | ||||
\(259\) | 22.1913 | 1.37890 | ||||||||
\(260\) | 21.4228 | − | 3.16921i | 1.32858 | − | 0.196546i | ||||
\(261\) | −6.22685 | + | 19.2060i | −0.385433 | + | 1.18882i | ||||
\(262\) | −9.00716 | − | 25.8541i | −0.556464 | − | 1.59727i | ||||
\(263\) | −5.60343 | + | 9.70543i | −0.345522 | + | 0.598462i | −0.985449 | − | 0.169974i | \(-0.945632\pi\) |
0.639926 | + | 0.768436i | \(0.278965\pi\) | |||||||
\(264\) | −6.51612 | + | 4.33601i | −0.401040 | + | 0.266863i | ||||
\(265\) | −23.0441 | −1.41559 | ||||||||
\(266\) | 11.8152 | + | 8.11661i | 0.724439 | + | 0.497661i | ||||
\(267\) | −2.81531 | − | 26.7038i | −0.172294 | − | 1.63425i | ||||
\(268\) | 8.58432 | − | 6.80753i | 0.524371 | − | 0.415836i | ||||
\(269\) | −8.91499 | + | 15.4412i | −0.543557 | + | 0.941468i | 0.455140 | + | 0.890420i | \(0.349589\pi\) |
−0.998696 | + | 0.0510476i | \(0.983744\pi\) | |||||||
\(270\) | −17.8819 | + | 13.6039i | −1.08826 | + | 0.827905i | ||||
\(271\) | −4.43875 | − | 2.56272i | −0.269635 | − | 0.155674i | 0.359087 | − | 0.933304i | \(-0.383088\pi\) |
−0.628722 | + | 0.777630i | \(0.716422\pi\) | |||||||
\(272\) | 11.0554 | + | 2.58688i | 0.670331 | + | 0.156852i | ||||
\(273\) | 14.1848 | − | 1.49547i | 0.858506 | − | 0.0905099i | ||||
\(274\) | −3.20624 | − | 0.611185i | −0.193696 | − | 0.0369230i | ||||
\(275\) | −6.01691 | + | 3.47386i | −0.362833 | + | 0.209482i | ||||
\(276\) | −4.53670 | − | 17.6266i | −0.273077 | − | 1.06100i | ||||
\(277\) | − | 25.4042i | − | 1.52639i | −0.646169 | − | 0.763195i | \(-0.723630\pi\) | ||
0.646169 | − | 0.763195i | \(-0.276370\pi\) | |||||||
\(278\) | −3.67246 | + | 19.2655i | −0.220259 | + | 1.15547i | ||||
\(279\) | −0.408464 | + | 0.368256i | −0.0244541 | + | 0.0220469i | ||||
\(280\) | 17.8179 | − | 9.32393i | 1.06482 | − | 0.557211i | ||||
\(281\) | −18.2678 | + | 10.5469i | −1.08977 | + | 0.629177i | −0.933515 | − | 0.358540i | \(-0.883275\pi\) |
−0.156253 | + | 0.987717i | \(0.549941\pi\) | |||||||
\(282\) | 4.78555 | + | 3.32284i | 0.284975 | + | 0.197872i | ||||
\(283\) | −9.35633 | + | 16.2056i | −0.556176 | + | 0.963326i | 0.441635 | + | 0.897195i | \(0.354399\pi\) |
−0.997811 | + | 0.0661307i | \(0.978935\pi\) | |||||||
\(284\) | 8.85653 | + | 3.50385i | 0.525539 | + | 0.207915i | ||||
\(285\) | 17.0674 | − | 15.5428i | 1.01099 | − | 0.920675i | ||||
\(286\) | 1.49830 | − | 7.85999i | 0.0885964 | − | 0.464771i | ||||
\(287\) | −10.3733 | + | 17.9670i | −0.612314 | + | 1.06056i | ||||
\(288\) | −5.26512 | − | 16.1331i | −0.310250 | − | 0.950655i | ||||
\(289\) | −4.47145 | − | 7.74479i | −0.263027 | − | 0.455576i | ||||
\(290\) | −22.0319 | − | 19.0124i | −1.29376 | − | 1.11645i | ||||
\(291\) | −0.810341 | − | 1.11459i | −0.0475030 | − | 0.0653384i | ||||
\(292\) | 1.75264 | + | 0.693386i | 0.102566 | + | 0.0405773i | ||||
\(293\) | 23.9713 | 1.40042 | 0.700209 | − | 0.713938i | \(-0.253090\pi\) | ||||
0.700209 | + | 0.713938i | \(0.253090\pi\) | |||||||
\(294\) | −3.52914 | + | 1.66263i | −0.205823 | + | 0.0969666i | ||||
\(295\) | −23.3547 | + | 13.4839i | −1.35977 | + | 0.785061i | ||||
\(296\) | 22.7959 | + | 14.4541i | 1.32498 | + | 0.840126i | ||||
\(297\) | 2.57293 | + | 7.89294i | 0.149297 | + | 0.457995i | ||||
\(298\) | −28.3928 | + | 9.89160i | −1.64475 | + | 0.573005i | ||||
\(299\) | 16.1142 | + | 9.30355i | 0.931910 | + | 0.538038i | ||||
\(300\) | −3.75483 | − | 14.5888i | −0.216785 | − | 0.842284i | ||||
\(301\) | 8.63717 | + | 4.98667i | 0.497838 | + | 0.287427i | ||||
\(302\) | −7.78597 | + | 9.02253i | −0.448032 | + | 0.519188i | ||||
\(303\) | −6.00555 | + | 0.633148i | −0.345010 | + | 0.0363734i | ||||
\(304\) | 6.85045 | + | 16.0334i | 0.392900 | + | 0.919581i | ||||
\(305\) | 37.7498i | 2.16155i | ||||||||
\(306\) | 5.79350 | − | 10.5576i | 0.331193 | − | 0.603538i | ||||
\(307\) | 7.90289 | − | 13.6882i | 0.451042 | − | 0.781227i | −0.547409 | − | 0.836865i | \(-0.684386\pi\) |
0.998451 | + | 0.0556379i | \(0.0177192\pi\) | |||||||
\(308\) | −1.08738 | − | 7.35034i | −0.0619593 | − | 0.418824i | ||||
\(309\) | 4.33730 | + | 1.92943i | 0.246740 | + | 0.109761i | ||||
\(310\) | −0.260785 | − | 0.748556i | −0.0148116 | − | 0.0425151i | ||||
\(311\) | 3.58329 | 0.203189 | 0.101595 | − | 0.994826i | \(-0.467606\pi\) | ||||
0.101595 | + | 0.994826i | \(0.467606\pi\) | |||||||
\(312\) | 15.5453 | + | 7.70293i | 0.880081 | + | 0.436092i | ||||
\(313\) | 2.16886 | + | 3.75658i | 0.122591 | + | 0.212335i | 0.920789 | − | 0.390061i | \(-0.127546\pi\) |
−0.798197 | + | 0.602396i | \(0.794213\pi\) | |||||||
\(314\) | −1.03996 | − | 2.98509i | −0.0586883 | − | 0.168458i | ||||
\(315\) | −4.44806 | − | 20.8609i | −0.250620 | − | 1.17538i | ||||
\(316\) | 11.6183 | − | 29.3671i | 0.653582 | − | 1.65203i | ||||
\(317\) | −8.57067 | − | 14.8448i | −0.481377 | − | 0.833769i | 0.518395 | − | 0.855141i | \(-0.326530\pi\) |
−0.999772 | + | 0.0213725i | \(0.993196\pi\) | |||||||
\(318\) | −15.1642 | − | 10.5292i | −0.850365 | − | 0.590451i | ||||
\(319\) | −9.31186 | + | 5.37620i | −0.521364 | + | 0.301010i | ||||
\(320\) | 24.3763 | + | 2.02754i | 1.36268 | + | 0.113343i | ||||
\(321\) | 6.19427 | + | 2.75549i | 0.345730 | + | 0.153797i | ||||
\(322\) | 16.9732 | + | 3.23549i | 0.945879 | + | 0.180307i | ||||
\(323\) | −4.97222 | + | 11.3297i | −0.276662 | + | 0.630400i | ||||
\(324\) | −17.9830 | + | 0.781472i | −0.999057 | + | 0.0434151i | ||||
\(325\) | 13.3370 | + | 7.70014i | 0.739806 | + | 0.427127i | ||||
\(326\) | −13.1930 | − | 11.3849i | −0.730695 | − | 0.630551i | ||||
\(327\) | −26.9949 | + | 19.6261i | −1.49282 | + | 1.08533i | ||||
\(328\) | −22.3584 | + | 11.7000i | −1.23454 | + | 0.646022i | ||||
\(329\) | −4.78984 | + | 2.76541i | −0.264072 | + | 0.152462i | ||||
\(330\) | −11.9241 | − | 0.995882i | −0.656402 | − | 0.0548215i | ||||
\(331\) | −1.25012 | −0.0687131 | −0.0343565 | − | 0.999410i | \(-0.510938\pi\) | ||||
−0.0343565 | + | 0.999410i | \(0.510938\pi\) | |||||||
\(332\) | −16.3491 | + | 2.41862i | −0.897273 | + | 0.132739i | ||||
\(333\) | 21.2636 | − | 19.1704i | 1.16524 | − | 1.05053i | ||||
\(334\) | −1.41180 | + | 7.40620i | −0.0772501 | + | 0.405249i | ||||
\(335\) | 16.7492 | 0.915109 | ||||||||
\(336\) | 15.9853 | + | 2.00568i | 0.872070 | + | 0.109419i | ||||
\(337\) | −7.44553 | + | 12.8960i | −0.405584 | + | 0.702491i | −0.994389 | − | 0.105783i | \(-0.966265\pi\) |
0.588806 | + | 0.808275i | \(0.299598\pi\) | |||||||
\(338\) | 0.612537 | − | 0.213398i | 0.0333176 | − | 0.0116073i | ||||
\(339\) | −7.20688 | − | 3.20595i | −0.391424 | − | 0.174123i | ||||
\(340\) | 10.7853 | + | 13.6003i | 0.584916 | + | 0.737582i | ||||
\(341\) | −0.292884 | −0.0158605 | ||||||||
\(342\) | 18.3330 | − | 2.42955i | 0.991333 | − | 0.131375i | ||||
\(343\) | − | 19.9811i | − | 1.07888i | ||||||
\(344\) | 5.62445 | + | 10.7482i | 0.303250 | + | 0.579506i | ||||
\(345\) | 11.3095 | − | 25.4234i | 0.608884 | − | 1.36875i | ||||
\(346\) | 32.6726 | − | 11.3826i | 1.75649 | − | 0.611934i | ||||
\(347\) | −27.9737 | − | 16.1506i | −1.50171 | − | 0.867012i | −0.999998 | − | 0.00197608i | \(-0.999371\pi\) |
−0.501710 | − | 0.865036i | \(-0.667296\pi\) | |||||||
\(348\) | −5.81103 | − | 22.5778i | −0.311504 | − | 1.21030i | ||||
\(349\) | − | 1.43421i | − | 0.0767717i | −0.999263 | − | 0.0383858i | \(-0.987778\pi\) | ||
0.999263 | − | 0.0383858i | \(-0.0122216\pi\) | |||||||
\(350\) | 14.0480 | + | 2.67788i | 0.750896 | + | 0.143139i | ||||
\(351\) | 12.2999 | − | 13.6868i | 0.656521 | − | 0.730547i | ||||
\(352\) | 3.67055 | − | 8.25882i | 0.195641 | − | 0.440197i | ||||
\(353\) | 14.1746i | 0.754435i | 0.926125 | + | 0.377218i | \(0.123119\pi\) | ||||
−0.926125 | + | 0.377218i | \(0.876881\pi\) | |||||||
\(354\) | −21.5296 | − | 1.79811i | −1.14428 | − | 0.0955685i | ||||
\(355\) | 7.28040 | + | 12.6100i | 0.386403 | + | 0.669270i | ||||
\(356\) | 19.2656 | + | 24.2940i | 1.02107 | + | 1.28758i | ||||
\(357\) | 6.72282 | + | 9.24696i | 0.355810 | + | 0.489401i | ||||
\(358\) | 5.17196 | − | 5.99337i | 0.273347 | − | 0.316759i | ||||
\(359\) | 13.3696 | − | 23.1568i | 0.705620 | − | 1.22217i | −0.260847 | − | 0.965380i | \(-0.584002\pi\) |
0.966467 | − | 0.256790i | \(-0.0826647\pi\) | |||||||
\(360\) | 9.01830 | − | 24.3264i | 0.475306 | − | 1.28211i | ||||
\(361\) | −18.5417 | + | 4.14790i | −0.975879 | + | 0.218311i | ||||
\(362\) | 19.4183 | + | 3.70159i | 1.02060 | + | 0.194551i | ||||
\(363\) | 5.94687 | − | 13.3684i | 0.312130 | − | 0.701658i | ||||
\(364\) | −12.9048 | + | 10.2337i | −0.676393 | + | 0.536393i | ||||
\(365\) | 1.44074 | + | 2.49543i | 0.0754115 | + | 0.130617i | ||||
\(366\) | −17.2485 | + | 24.8412i | −0.901593 | + | 1.29847i | ||||
\(367\) | 13.2170 | − | 7.63085i | 0.689922 | − | 0.398327i | −0.113661 | − | 0.993520i | \(-0.536258\pi\) |
0.803583 | + | 0.595193i | \(0.202924\pi\) | |||||||
\(368\) | 15.3282 | + | 14.3789i | 0.799036 | + | 0.749553i | ||||
\(369\) | 5.58156 | + | 26.1770i | 0.290565 | + | 1.36272i | ||||
\(370\) | 13.5758 | + | 38.9678i | 0.705772 | + | 2.02584i | ||||
\(371\) | 15.1778 | − | 8.76289i | 0.787991 | − | 0.454947i | ||||
\(372\) | 0.170418 | − | 0.611745i | 0.00883576 | − | 0.0317175i | ||||
\(373\) | − | 18.5885i | − | 0.962474i | −0.876591 | − | 0.481237i | \(-0.840188\pi\) | ||
0.876591 | − | 0.481237i | \(-0.159812\pi\) | |||||||
\(374\) | 6.05641 | − | 2.10996i | 0.313169 | − | 0.109103i | ||||
\(375\) | −1.40196 | + | 3.15157i | −0.0723970 | + | 0.162746i | ||||
\(376\) | −6.72154 | − | 0.279057i | −0.346637 | − | 0.0143912i | ||||
\(377\) | 20.6406 | + | 11.9169i | 1.06305 | + | 0.613749i | ||||
\(378\) | 6.60466 | − | 15.7599i | 0.339707 | − | 0.810603i | ||||
\(379\) | −38.1107 | −1.95762 | −0.978809 | − | 0.204776i | \(-0.934353\pi\) | ||||
−0.978809 | + | 0.204776i | \(0.934353\pi\) | |||||||
\(380\) | −7.02461 | + | 25.7129i | −0.360355 | + | 1.31904i | ||||
\(381\) | −0.962850 | − | 9.13284i | −0.0493283 | − | 0.467890i | ||||
\(382\) | −7.88473 | − | 6.80411i | −0.403418 | − | 0.348128i | ||||
\(383\) | 11.0245 | − | 19.0951i | 0.563328 | − | 0.975713i | −0.433875 | − | 0.900973i | \(-0.642854\pi\) |
0.997203 | − | 0.0747397i | \(-0.0238126\pi\) | |||||||
\(384\) | 15.1144 | + | 12.4722i | 0.771304 | + | 0.636467i | ||||
\(385\) | 5.67967 | − | 9.83748i | 0.289463 | − | 0.501364i | ||||
\(386\) | −5.08452 | + | 1.77137i | −0.258795 | + | 0.0901603i | ||||
\(387\) | 12.5839 | − | 2.68319i | 0.639675 | − | 0.136394i | ||||
\(388\) | 1.47962 | + | 0.585374i | 0.0751166 | + | 0.0297179i | ||||
\(389\) | 2.51778 | + | 4.36092i | 0.127657 | + | 0.221108i | 0.922768 | − | 0.385355i | \(-0.125921\pi\) |
−0.795112 | + | 0.606463i | \(0.792588\pi\) | |||||||
\(390\) | 11.3038 | + | 23.9936i | 0.572388 | + | 1.21496i | ||||
\(391\) | 14.9141i | 0.754237i | ||||||||
\(392\) | 2.41223 | − | 3.80439i | 0.121836 | − | 0.192151i | ||||
\(393\) | 27.1210 | − | 19.7178i | 1.36808 | − | 0.994633i | ||||
\(394\) | −1.15474 | − | 0.996484i | −0.0581752 | − | 0.0502021i | ||||
\(395\) | 41.8132 | − | 24.1409i | 2.10385 | − | 1.21466i | ||||
\(396\) | −7.39164 | − | 6.10368i | −0.371444 | − | 0.306721i | ||||
\(397\) | −10.1916 | − | 5.88414i | −0.511503 | − | 0.295316i | 0.221948 | − | 0.975058i | \(-0.428758\pi\) |
−0.733451 | + | 0.679742i | \(0.762092\pi\) | |||||||
\(398\) | −18.6435 | − | 3.55390i | −0.934515 | − | 0.178141i | ||||
\(399\) | −5.33088 | + | 16.7272i | −0.266878 | + | 0.837410i | ||||
\(400\) | 12.6865 | + | 11.9008i | 0.634323 | + | 0.595040i | ||||
\(401\) | −14.4846 | − | 8.36267i | −0.723325 | − | 0.417612i | 0.0926501 | − | 0.995699i | \(-0.470466\pi\) |
−0.815975 | + | 0.578087i | \(0.803800\pi\) | |||||||
\(402\) | 11.0218 | + | 7.65301i | 0.549719 | + | 0.381697i | ||||
\(403\) | 0.324602 | + | 0.562227i | 0.0161696 | + | 0.0280065i | ||||
\(404\) | 5.46359 | − | 4.33273i | 0.271824 | − | 0.215561i | ||||
\(405\) | −22.2832 | − | 16.1462i | −1.10726 | − | 0.802313i | ||||
\(406\) | 21.7409 | + | 4.14432i | 1.07898 | + | 0.205679i | ||||
\(407\) | 15.2467 | 0.755753 | ||||||||
\(408\) | 0.883064 | + | 13.8777i | 0.0437182 | + | 0.687048i | ||||
\(409\) | −16.3774 | − | 28.3664i | −0.809808 | − | 1.40263i | −0.912996 | − | 0.407968i | \(-0.866238\pi\) |
0.103188 | − | 0.994662i | \(-0.467096\pi\) | |||||||
\(410\) | −37.8959 | − | 7.22386i | −1.87154 | − | 0.356761i | ||||
\(411\) | −0.419125 | − | 3.97550i | −0.0206739 | − | 0.196097i | ||||
\(412\) | −5.42245 | + | 0.802177i | −0.267145 | + | 0.0395204i | ||||
\(413\) | 10.2549 | − | 17.7620i | 0.504611 | − | 0.874012i | ||||
\(414\) | 19.0586 | − | 11.5624i | 0.936680 | − | 0.568260i | ||||
\(415\) | −21.8812 | − | 12.6331i | −1.07410 | − | 0.620134i | ||||
\(416\) | −19.9219 | + | 2.10714i | −0.976752 | + | 0.103311i | ||||
\(417\) | −23.8878 | + | 2.51842i | −1.16979 | + | 0.123328i | ||||
\(418\) | 8.11776 | + | 5.57658i | 0.397053 | + | 0.272760i | ||||
\(419\) | − | 14.9989i | − | 0.732744i | −0.930468 | − | 0.366372i | \(-0.880600\pi\) | ||
0.930468 | − | 0.366372i | \(-0.119400\pi\) | |||||||
\(420\) | 17.2427 | + | 17.5872i | 0.841358 | + | 0.858165i | ||||
\(421\) | −2.84671 | − | 1.64355i | −0.138740 | − | 0.0801015i | 0.429023 | − | 0.903293i | \(-0.358858\pi\) |
−0.567763 | + | 0.823192i | \(0.692191\pi\) | |||||||
\(422\) | 11.7528 | − | 4.09449i | 0.572117 | − | 0.199317i | ||||
\(423\) | −2.20063 | + | 6.78759i | −0.106998 | + | 0.330024i | ||||
\(424\) | 21.2989 | + | 0.884259i | 1.03436 | + | 0.0429434i | ||||
\(425\) | 12.3437i | 0.598758i | ||||||||
\(426\) | −0.970861 | + | 11.6246i | −0.0470384 | + | 0.563211i | ||||
\(427\) | −14.3550 | − | 24.8635i | −0.694685 | − | 1.20323i | ||||
\(428\) | −7.74402 | + | 1.14562i | −0.374321 | + | 0.0553757i | ||||
\(429\) | 9.74582 | − | 1.02747i | 0.470532 | − | 0.0496069i | ||||
\(430\) | −3.47268 | + | 18.2175i | −0.167467 | + | 0.878524i | ||||
\(431\) | −12.2387 | − | 21.1980i | −0.589516 | − | 1.02107i | −0.994296 | − | 0.106657i | \(-0.965985\pi\) |
0.404780 | − | 0.914414i | \(-0.367348\pi\) | |||||||
\(432\) | 17.0496 | − | 11.8874i | 0.820301 | − | 0.571932i | ||||
\(433\) | 1.72415 | + | 2.98631i | 0.0828571 | + | 0.143513i | 0.904476 | − | 0.426524i | \(-0.140262\pi\) |
−0.821619 | + | 0.570037i | \(0.806929\pi\) | |||||||
\(434\) | 0.456414 | + | 0.393861i | 0.0219086 | + | 0.0189059i | ||||
\(435\) | 14.4863 | − | 32.5647i | 0.694564 | − | 1.56136i | ||||
\(436\) | 14.1775 | − | 35.8359i | 0.678979 | − | 1.71623i | ||||
\(437\) | −18.4566 | + | 13.5602i | −0.882901 | + | 0.648672i | ||||
\(438\) | −0.192126 | + | 2.30041i | −0.00918014 | + | 0.109918i | ||||
\(439\) | 20.4331 | + | 11.7971i | 0.975220 | + | 0.563044i | 0.900824 | − | 0.434185i | \(-0.142964\pi\) |
0.0743965 | + | 0.997229i | \(0.476297\pi\) | |||||||
\(440\) | 12.2419 | − | 6.40608i | 0.583611 | − | 0.305398i | ||||
\(441\) | −3.19933 | − | 3.54866i | −0.152349 | − | 0.168984i | ||||
\(442\) | −10.7626 | − | 9.28758i | −0.511926 | − | 0.441765i | ||||
\(443\) | −8.81900 | + | 5.09165i | −0.419003 | + | 0.241912i | −0.694651 | − | 0.719347i | \(-0.744441\pi\) |
0.275648 | + | 0.961259i | \(0.411108\pi\) | |||||||
\(444\) | −8.87150 | + | 31.8458i | −0.421023 | + | 1.51133i | ||||
\(445\) | 47.4010i | 2.24702i | ||||||||
\(446\) | −11.3537 | − | 32.5896i | −0.537614 | − | 1.54316i | ||||
\(447\) | −21.6540 | − | 29.7842i | −1.02420 | − | 1.40874i | ||||
\(448\) | −16.8262 | + | 7.93405i | −0.794964 | + | 0.374849i | ||||
\(449\) | − | 3.19906i | − | 0.150973i | −0.997147 | − | 0.0754865i | \(-0.975949\pi\) | ||
0.997147 | − | 0.0754865i | \(-0.0240510\pi\) | |||||||
\(450\) | 15.7740 | − | 9.56968i | 0.743593 | − | 0.451119i | ||||
\(451\) | −7.12703 | + | 12.3444i | −0.335599 | + | 0.581274i | ||||
\(452\) | 9.00998 | − | 1.33290i | 0.423794 | − | 0.0626944i | ||||
\(453\) | −13.3359 | − | 5.93244i | −0.626577 | − | 0.278730i | ||||
\(454\) | −25.0316 | + | 29.0071i | −1.17479 | + | 1.36137i | ||||
\(455\) | −25.1790 | −1.18041 | ||||||||
\(456\) | −16.3712 | + | 13.7107i | −0.766652 | + | 0.642063i | ||||
\(457\) | 4.69972 | 0.219844 | 0.109922 | − | 0.993940i | \(-0.464940\pi\) | ||||
0.109922 | + | 0.993940i | \(0.464940\pi\) | |||||||
\(458\) | 2.28665 | − | 2.64981i | 0.106848 | − | 0.123818i | ||||
\(459\) | 14.4299 | + | 3.05272i | 0.673531 | + | 0.142489i | ||||
\(460\) | 4.70203 | + | 31.7842i | 0.219233 | + | 1.48194i | ||||
\(461\) | −10.6853 | + | 18.5075i | −0.497664 | + | 0.861979i | −0.999996 | − | 0.00269571i | \(-0.999142\pi\) |
0.502333 | + | 0.864674i | \(0.332475\pi\) | |||||||
\(462\) | 8.23241 | − | 3.87842i | 0.383007 | − | 0.180440i | ||||
\(463\) | 6.48809i | 0.301527i | 0.988570 | + | 0.150764i | \(0.0481732\pi\) | ||||
−0.988570 | + | 0.150764i | \(0.951827\pi\) | |||||||
\(464\) | 19.6338 | + | 18.4179i | 0.911474 | + | 0.855028i | ||||
\(465\) | 0.785239 | − | 0.570893i | 0.0364146 | − | 0.0264745i | ||||
\(466\) | 0.137120 | + | 0.393587i | 0.00635194 | + | 0.0182326i | ||||
\(467\) | − | 15.3004i | − | 0.708018i | −0.935242 | − | 0.354009i | \(-0.884818\pi\) | ||
0.935242 | − | 0.354009i | \(-0.115182\pi\) | |||||||
\(468\) | −3.52464 | + | 20.9539i | −0.162927 | + | 0.968593i | ||||
\(469\) | −11.0317 | + | 6.36917i | −0.509397 | + | 0.294101i | ||||
\(470\) | −7.78628 | − | 6.71915i | −0.359155 | − | 0.309931i | ||||
\(471\) | 3.13137 | − | 2.27660i | 0.144286 | − | 0.104900i | ||||
\(472\) | 22.1034 | − | 11.5665i | 1.01739 | − | 0.532390i | ||||
\(473\) | 5.93424 | + | 3.42613i | 0.272856 | + | 0.157534i | ||||
\(474\) | 38.5455 | + | 3.21925i | 1.77045 | + | 0.147865i | ||||
\(475\) | −15.2758 | + | 11.2232i | −0.700900 | + | 0.514955i | ||||
\(476\) | −12.2754 | − | 4.85643i | −0.562642 | − | 0.222594i | ||||
\(477\) | 6.97323 | − | 21.5081i | 0.319282 | − | 0.984790i | ||||
\(478\) | 17.3649 | + | 14.9850i | 0.794252 | + | 0.685398i | ||||
\(479\) | 4.82921 | + | 8.36444i | 0.220652 | + | 0.382181i | 0.955006 | − | 0.296586i | \(-0.0958480\pi\) |
−0.734354 | + | 0.678767i | \(0.762515\pi\) | |||||||
\(480\) | 6.25723 | + | 29.2971i | 0.285602 | + | 1.33722i | ||||
\(481\) | −16.8979 | − | 29.2681i | −0.770479 | − | 1.33451i | ||||
\(482\) | 7.18271 | − | 37.6801i | 0.327164 | − | 1.71628i | ||||
\(483\) | 2.21877 | + | 21.0455i | 0.100957 | + | 0.957604i | ||||
\(484\) | 2.47246 | + | 16.7130i | 0.112385 | + | 0.759683i | ||||
\(485\) | 1.21631 | + | 2.10670i | 0.0552296 | + | 0.0956605i | ||||
\(486\) | −7.28598 | − | 20.8066i | −0.330499 | − | 0.943806i | ||||
\(487\) | 2.53353i | 0.114805i | 0.998351 | + | 0.0574027i | \(0.0182819\pi\) | ||||
−0.998351 | + | 0.0574027i | \(0.981718\pi\) | |||||||
\(488\) | 1.44855 | − | 34.8908i | 0.0655728 | − | 1.57943i | ||||
\(489\) | 8.67460 | − | 19.5002i | 0.392279 | − | 0.881831i | ||||
\(490\) | 6.50332 | − | 2.26565i | 0.293790 | − | 0.102352i | ||||
\(491\) | 17.6869 | + | 10.2115i | 0.798197 | + | 0.460839i | 0.842840 | − | 0.538164i | \(-0.180882\pi\) |
−0.0446433 | + | 0.999003i | \(0.514215\pi\) | |||||||
\(492\) | −21.6367 | − | 22.0689i | −0.975457 | − | 0.994943i | ||||
\(493\) | 19.1033i | 0.860370i | ||||||||
\(494\) | 1.70807 | − | 21.7636i | 0.0768497 | − | 0.979190i | ||||
\(495\) | −3.05608 | − | 14.3327i | −0.137360 | − | 0.644206i | ||||
\(496\) | 0.212311 | + | 0.701871i | 0.00953303 | + | 0.0315149i | ||||
\(497\) | −9.59032 | − | 5.53697i | −0.430184 | − | 0.248367i | ||||
\(498\) | −8.62663 | − | 18.3111i | −0.386568 | − | 0.820539i | ||||
\(499\) | 10.9759 | − | 19.0109i | 0.491350 | − | 0.851043i | −0.508601 | − | 0.861003i | \(-0.669837\pi\) |
0.999950 | + | 0.00995967i | \(0.00317032\pi\) | |||||||
\(500\) | −0.582877 | − | 3.94006i | −0.0260671 | − | 0.176205i | ||||
\(501\) | −9.18314 | + | 0.968153i | −0.410273 | + | 0.0432539i | ||||
\(502\) | −16.7829 | − | 3.19921i | −0.749056 | − | 0.142788i | ||||
\(503\) | 13.1844 | + | 22.8360i | 0.587863 | + | 1.01821i | 0.994512 | + | 0.104624i | \(0.0333640\pi\) |
−0.406649 | + | 0.913585i | \(0.633303\pi\) | |||||||
\(504\) | 3.31070 | + | 19.4517i | 0.147470 | + | 0.866448i | ||||
\(505\) | 10.6603 | 0.474375 | ||||||||
\(506\) | 11.6616 | + | 2.22297i | 0.518420 | + | 0.0988232i | ||||
\(507\) | 0.467156 | + | 0.642554i | 0.0207471 | + | 0.0285368i | ||||
\(508\) | 6.58893 | + | 8.30866i | 0.292336 | + | 0.368637i | ||||
\(509\) | −14.2206 | − | 24.6308i | −0.630316 | − | 1.09174i | −0.987487 | − | 0.157700i | \(-0.949592\pi\) |
0.357171 | − | 0.934039i | \(-0.383741\pi\) | |||||||
\(510\) | −12.1248 | + | 17.4622i | −0.536897 | + | 0.773237i | ||||
\(511\) | −1.89785 | − | 1.09572i | −0.0839560 | − | 0.0484720i | ||||
\(512\) | −22.4523 | − | 2.80936i | −0.992263 | − | 0.124158i | ||||
\(513\) | 9.34214 | + | 20.6331i | 0.412466 | + | 0.910973i | ||||
\(514\) | 13.1777 | + | 2.51198i | 0.581242 | + | 0.110799i | ||||
\(515\) | −7.25726 | − | 4.18998i | −0.319793 | − | 0.184633i | ||||
\(516\) | −10.6091 | + | 10.4013i | −0.467037 | + | 0.457890i | ||||
\(517\) | −3.29090 | + | 1.90000i | −0.144734 | + | 0.0835619i | ||||
\(518\) | −23.7597 | − | 20.5034i | −1.04394 | − | 0.900866i | ||||
\(519\) | 24.9180 | + | 34.2737i | 1.09378 | + | 1.50445i | ||||
\(520\) | −25.8650 | − | 16.4001i | −1.13425 | − | 0.719191i | ||||
\(521\) | 15.3912i | 0.674299i | 0.941451 | + | 0.337150i | \(0.109463\pi\) | ||||
−0.941451 | + | 0.337150i | \(0.890537\pi\) | |||||||
\(522\) | 24.4121 | − | 14.8102i | 1.06849 | − | 0.648224i | ||||
\(523\) | −20.4745 | − | 35.4629i | −0.895289 | − | 1.55069i | −0.833446 | − | 0.552601i | \(-0.813635\pi\) |
−0.0618431 | − | 0.998086i | \(-0.519698\pi\) | |||||||
\(524\) | −14.2438 | + | 36.0033i | −0.622242 | + | 1.57281i | ||||
\(525\) | 1.83638 | + | 17.4185i | 0.0801461 | + | 0.760203i | ||||
\(526\) | 14.9666 | − | 5.21414i | 0.652576 | − | 0.227347i | ||||
\(527\) | −0.260177 | + | 0.450639i | −0.0113335 | + | 0.0196302i | ||||
\(528\) | 10.9828 | + | 1.37802i | 0.477967 | + | 0.0599705i | ||||
\(529\) | −2.30333 | + | 3.98948i | −0.100145 | + | 0.173456i | ||||
\(530\) | 24.6728 | + | 21.2913i | 1.07172 | + | 0.924834i | ||||
\(531\) | −5.51789 | − | 25.8783i | −0.239456 | − | 1.12302i | ||||
\(532\) | −5.15106 | − | 19.6068i | −0.223327 | − | 0.850061i | ||||
\(533\) | 31.5955 | 1.36855 | ||||||||
\(534\) | −21.6583 | + | 31.1922i | −0.937247 | + | 1.34982i | ||||
\(535\) | −10.3644 | − | 5.98387i | −0.448091 | − | 0.258705i | ||||
\(536\) | −15.4807 | − | 0.642709i | −0.668665 | − | 0.0277608i | ||||
\(537\) | 8.85862 | + | 3.94072i | 0.382278 | + | 0.170055i | ||||
\(538\) | 23.8117 | − | 8.29564i | 1.02660 | − | 0.357650i | ||||
\(539\) | − | 2.54452i | − | 0.109600i | ||||||
\(540\) | 31.7148 | + | 1.95644i | 1.36479 | + | 0.0841916i | ||||
\(541\) | −15.2088 | + | 8.78078i | −0.653876 | + | 0.377515i | −0.789940 | − | 0.613185i | \(-0.789888\pi\) |
0.136064 | + | 0.990700i | \(0.456555\pi\) | |||||||
\(542\) | 2.38468 | + | 6.84496i | 0.102431 | + | 0.294016i | ||||
\(543\) | 2.53840 | + | 24.0773i | 0.108933 | + | 1.03325i | ||||
\(544\) | −9.44661 | − | 12.9842i | −0.405020 | − | 0.556691i | ||||
\(545\) | 51.0234 | − | 29.4584i | 2.18560 | − | 1.26186i | ||||
\(546\) | −16.5691 | − | 11.5047i | −0.709091 | − | 0.492357i | ||||
\(547\) | 10.2145 | + | 17.6921i | 0.436742 | + | 0.756459i | 0.997436 | − | 0.0715637i | \(-0.0227989\pi\) |
−0.560694 | + | 0.828023i | \(0.689466\pi\) | |||||||
\(548\) | 2.86814 | + | 3.61673i | 0.122521 | + | 0.154499i | ||||
\(549\) | −35.2336 | − | 11.4232i | −1.50373 | − | 0.487531i | ||||
\(550\) | 9.65177 | + | 1.83986i | 0.411553 | + | 0.0784518i | ||||
\(551\) | −23.6410 | + | 17.3692i | −1.00714 | + | 0.739951i | ||||
\(552\) | −11.4285 | + | 23.0640i | −0.486431 | + | 0.981669i | ||||
\(553\) | −18.3599 | + | 31.8003i | −0.780742 | + | 1.35228i | ||||
\(554\) | −23.4718 | + | 27.1996i | −0.997222 | + | 1.15560i | ||||
\(555\) | −40.8774 | + | 29.7192i | −1.73515 | + | 1.26151i | ||||
\(556\) | 21.7321 | − | 17.2339i | 0.921645 | − | 0.730882i | ||||
\(557\) | 8.79774 | + | 15.2381i | 0.372772 | + | 0.645660i | 0.989991 | − | 0.141131i | \(-0.0450740\pi\) |
−0.617219 | + | 0.786792i | \(0.711741\pi\) | |||||||
\(558\) | 0.777577 | − | 0.0168873i | 0.0329174 | − | 0.000714894i | ||||
\(559\) | − | 15.1887i | − | 0.642413i | ||||||
\(560\) | −27.6919 | − | 6.47968i | −1.17019 | − | 0.273817i | ||||
\(561\) | 4.61897 | + | 6.35320i | 0.195013 | + | 0.268232i | ||||
\(562\) | 29.3036 | + | 5.58596i | 1.23610 | + | 0.235629i | ||||
\(563\) | 24.9734i | 1.05250i | 0.850329 | + | 0.526251i | \(0.176403\pi\) | ||||
−0.850329 | + | 0.526251i | \(0.823597\pi\) | |||||||
\(564\) | −2.05367 | − | 7.97922i | −0.0864752 | − | 0.335986i | ||||
\(565\) | 12.0587 | + | 6.96209i | 0.507313 | + | 0.292897i | ||||
\(566\) | 24.9906 | − | 8.70632i | 1.05043 | − | 0.365954i | ||||
\(567\) | 20.8165 | + | 2.16102i | 0.874210 | + | 0.0907541i | ||||
\(568\) | −6.24513 | − | 11.9343i | −0.262040 | − | 0.500754i | ||||
\(569\) | 10.9401i | 0.458634i | 0.973352 | + | 0.229317i | \(0.0736492\pi\) | ||||
−0.973352 | + | 0.229317i | \(0.926351\pi\) | |||||||
\(570\) | −32.6342 | + | 0.872087i | −1.36689 | + | 0.0365277i | ||||
\(571\) | −31.6820 | −1.32585 | −0.662925 | − | 0.748685i | \(-0.730685\pi\) | ||||
−0.662925 | + | 0.748685i | \(0.730685\pi\) | |||||||
\(572\) | −8.86632 | + | 7.03116i | −0.370719 | + | 0.293988i | ||||
\(573\) | 5.18432 | − | 11.6542i | 0.216578 | − | 0.486861i | ||||
\(574\) | 27.7067 | − | 9.65259i | 1.15646 | − | 0.402891i | ||||
\(575\) | −11.4244 | + | 19.7877i | −0.476431 | + | 0.825202i | ||||
\(576\) | −9.26875 | + | 22.1380i | −0.386198 | + | 0.922416i | ||||
\(577\) | −14.1170 | −0.587700 | −0.293850 | − | 0.955851i | \(-0.594937\pi\) | ||||
−0.293850 | + | 0.955851i | \(0.594937\pi\) | |||||||
\(578\) | −2.36821 | + | 12.4235i | −0.0985046 | + | 0.516749i | ||||
\(579\) | −3.87775 | − | 5.33368i | −0.161154 | − | 0.221660i | ||||
\(580\) | 6.02280 | + | 40.7121i | 0.250083 | + | 1.69048i | ||||
\(581\) | 19.2157 | 0.797203 | ||||||||
\(582\) | −0.162198 | + | 1.94207i | −0.00672331 | + | 0.0805012i | ||||
\(583\) | 10.4280 | − | 6.02062i | 0.431884 | − | 0.249349i | ||||
\(584\) | −1.23586 | − | 2.36172i | −0.0511404 | − | 0.0977286i | ||||
\(585\) | −24.1264 | + | 21.7514i | −0.997502 | + | 0.899309i | ||||
\(586\) | −25.6654 | − | 22.1479i | −1.06023 | − | 0.914922i | ||||
\(587\) | −39.9934 | − | 23.0902i | −1.65070 | − | 0.953035i | −0.976783 | − | 0.214232i | \(-0.931275\pi\) |
−0.673922 | − | 0.738803i | \(-0.735391\pi\) | |||||||
\(588\) | 5.31472 | + | 1.48056i | 0.219175 | + | 0.0610572i | ||||
\(589\) | −0.794239 | + | 0.0877538i | −0.0327261 | + | 0.00361583i | ||||
\(590\) | 37.4636 | + | 7.14144i | 1.54235 | + | 0.294009i | ||||
\(591\) | 0.759261 | − | 1.70679i | 0.0312318 | − | 0.0702081i | ||||
\(592\) | −11.0523 | − | 36.5375i | −0.454248 | − | 1.50168i | ||||
\(593\) | 32.3512 | − | 18.6779i | 1.32850 | − | 0.767011i | 0.343435 | − | 0.939177i | \(-0.388410\pi\) |
0.985068 | + | 0.172165i | \(0.0550763\pi\) | |||||||
\(594\) | 4.53779 | − | 10.8280i | 0.186188 | − | 0.444278i | ||||
\(595\) | −10.0908 | − | 17.4778i | −0.413683 | − | 0.716521i | ||||
\(596\) | 39.5386 | + | 15.6424i | 1.61957 | + | 0.640738i | ||||
\(597\) | −2.43712 | − | 23.1166i | −0.0997445 | − | 0.946099i | ||||
\(598\) | −8.65721 | − | 24.8496i | −0.354020 | − | 1.01617i | ||||
\(599\) | 18.3176 | + | 31.7269i | 0.748435 | + | 1.29633i | 0.948573 | + | 0.316560i | \(0.102528\pi\) |
−0.200137 | + | 0.979768i | \(0.564139\pi\) | |||||||
\(600\) | −9.45890 | + | 19.0891i | −0.386158 | + | 0.779308i | ||||
\(601\) | −13.2257 | −0.539486 | −0.269743 | − | 0.962932i | \(-0.586939\pi\) | ||||
−0.269743 | + | 0.962932i | \(0.586939\pi\) | |||||||
\(602\) | −4.64023 | − | 13.3193i | −0.189122 | − | 0.542853i | ||||
\(603\) | −5.06838 | + | 15.6328i | −0.206400 | + | 0.636618i | ||||
\(604\) | 16.6725 | − | 2.46646i | 0.678393 | − | 0.100359i | ||||
\(605\) | −12.9143 | + | 22.3682i | −0.525042 | + | 0.909399i | ||||
\(606\) | 7.01498 | + | 4.87085i | 0.284964 | + | 0.197865i | ||||
\(607\) | − | 9.47858i | − | 0.384724i | −0.981324 | − | 0.192362i | \(-0.938385\pi\) | ||
0.981324 | − | 0.192362i | \(-0.0616147\pi\) | |||||||
\(608\) | 7.47926 | − | 23.4960i | 0.303324 | − | 0.952887i | ||||
\(609\) | 2.84201 | + | 26.9571i | 0.115164 | + | 1.09236i | ||||
\(610\) | 34.8783 | − | 40.4177i | 1.41218 | − | 1.63647i | ||||
\(611\) | 7.29458 | + | 4.21153i | 0.295107 | + | 0.170380i | ||||
\(612\) | −15.9575 | + | 5.95093i | −0.645044 | + | 0.240552i | ||||
\(613\) | 30.5235 | + | 17.6228i | 1.23283 | + | 0.711776i | 0.967619 | − | 0.252414i | \(-0.0812244\pi\) |
0.265213 | + | 0.964190i | \(0.414558\pi\) | |||||||
\(614\) | −21.1084 | + | 7.35385i | −0.851867 | + | 0.296777i | ||||
\(615\) | −4.95382 | − | 46.9881i | −0.199757 | − | 1.89474i | ||||
\(616\) | −5.62700 | + | 8.87449i | −0.226718 | + | 0.357563i | ||||
\(617\) | 10.6872 | − | 6.17026i | 0.430250 | − | 0.248405i | −0.269203 | − | 0.963083i | \(-0.586760\pi\) |
0.699453 | + | 0.714678i | \(0.253427\pi\) | |||||||
\(618\) | −2.86117 | − | 6.07317i | −0.115093 | − | 0.244299i | ||||
\(619\) | 20.9632 | 0.842580 | 0.421290 | − | 0.906926i | \(-0.361577\pi\) | ||||
0.421290 | + | 0.906926i | \(0.361577\pi\) | |||||||
\(620\) | −0.412401 | + | 1.04241i | −0.0165624 | + | 0.0418641i | ||||
\(621\) | 20.3066 | + | 18.2489i | 0.814875 | + | 0.732304i | ||||
\(622\) | −3.83653 | − | 3.31072i | −0.153831 | − | 0.132748i | ||||
\(623\) | −18.0250 | − | 31.2202i | −0.722156 | − | 1.25081i | ||||
\(624\) | −9.52697 | − | 22.6102i | −0.381384 | − | 0.905132i | ||||
\(625\) | 13.9162 | − | 24.1036i | 0.556648 | − | 0.964143i | ||||
\(626\) | 1.14869 | − | 6.02596i | 0.0459110 | − | 0.240846i | ||||
\(627\) | −3.66262 | + | 11.4926i | −0.146271 | + | 0.458970i | ||||
\(628\) | −1.64457 | + | 4.15692i | −0.0656256 | + | 0.165879i | ||||
\(629\) | 13.5441 | − | 23.4591i | 0.540039 | − | 0.935375i | ||||
\(630\) | −14.5117 | + | 26.4450i | −0.578161 | + | 1.05359i | ||||
\(631\) | 22.1698 | − | 12.7998i | 0.882567 | − | 0.509550i | 0.0110630 | − | 0.999939i | \(-0.496478\pi\) |
0.871504 | + | 0.490389i | \(0.163145\pi\) | |||||||
\(632\) | −39.5728 | + | 20.7080i | −1.57412 | + | 0.823722i | ||||
\(633\) | 8.96336 | + | 12.3287i | 0.356262 | + | 0.490023i | ||||
\(634\) | −4.53927 | + | 23.8127i | −0.180277 | + | 0.945724i | ||||
\(635\) | 16.2114i | 0.643330i | ||||||||
\(636\) | 6.50756 | + | 25.2841i | 0.258042 | + | 1.00258i | ||||
\(637\) | −4.88452 | + | 2.82008i | −0.193532 | + | 0.111736i | ||||
\(638\) | 14.9372 | + | 2.84739i | 0.591371 | + | 0.112729i | ||||
\(639\) | −13.9726 | + | 2.97929i | −0.552747 | + | 0.117859i | ||||
\(640\) | −24.2258 | − | 24.6930i | −0.957607 | − | 0.976075i | ||||
\(641\) | −30.1634 | − | 17.4149i | −1.19138 | − | 0.687846i | −0.232763 | − | 0.972533i | \(-0.574777\pi\) |
−0.958620 | + | 0.284688i | \(0.908110\pi\) | |||||||
\(642\) | −4.08614 | − | 8.67334i | −0.161267 | − | 0.342309i | ||||
\(643\) | −2.52436 | + | 4.37233i | −0.0995512 | + | 0.172428i | −0.911499 | − | 0.411302i | \(-0.865074\pi\) |
0.811948 | + | 0.583730i | \(0.198407\pi\) | |||||||
\(644\) | −15.1834 | − | 19.1463i | −0.598309 | − | 0.754470i | ||||
\(645\) | −22.5883 | + | 2.38142i | −0.889414 | + | 0.0937684i | ||||
\(646\) | 15.7915 | − | 7.53639i | 0.621309 | − | 0.296515i | ||||
\(647\) | −10.5740 | −0.415707 | −0.207854 | − | 0.978160i | \(-0.566648\pi\) | ||||
−0.207854 | + | 0.978160i | \(0.566648\pi\) | |||||||
\(648\) | 19.9760 | + | 15.7785i | 0.784731 | + | 0.619836i | ||||
\(649\) | 7.04572 | − | 12.2035i | 0.276569 | − | 0.479031i | ||||
\(650\) | −7.16519 | − | 20.5669i | −0.281042 | − | 0.806700i | ||||
\(651\) | −0.300099 | + | 0.674612i | −0.0117618 | + | 0.0264401i | ||||
\(652\) | 3.60654 | + | 24.3790i | 0.141243 | + | 0.954756i | ||||
\(653\) | −33.1756 | −1.29826 | −0.649131 | − | 0.760677i | \(-0.724867\pi\) | ||||
−0.649131 | + | 0.760677i | \(0.724867\pi\) | |||||||
\(654\) | 47.0360 | + | 3.92836i | 1.83925 | + | 0.153611i | ||||
\(655\) | −51.2619 | + | 29.5961i | −2.00297 | + | 1.15641i | ||||
\(656\) | 34.7486 | + | 8.13091i | 1.35671 | + | 0.317459i | ||||
\(657\) | −2.76507 | + | 0.589580i | −0.107876 | + | 0.0230017i | ||||
\(658\) | 7.68342 | + | 1.46464i | 0.299531 | + | 0.0570977i | ||||
\(659\) | −38.4896 | + | 22.2220i | −1.49934 | + | 0.865646i | −1.00000 | 0.000758275i | \(-0.999759\pi\) | |
−0.499343 | + | 0.866404i | \(0.666425\pi\) | |||||||
\(660\) | 11.8467 | + | 12.0834i | 0.461134 | + | 0.470346i | ||||
\(661\) | −15.9383 | + | 9.20198i | −0.619928 | + | 0.357916i | −0.776841 | − | 0.629697i | \(-0.783179\pi\) |
0.156913 | + | 0.987612i | \(0.449846\pi\) | |||||||
\(662\) | 1.33848 | + | 1.15503i | 0.0520214 | + | 0.0448917i | ||||
\(663\) | 7.07658 | − | 15.9079i | 0.274832 | − | 0.617813i | ||||
\(664\) | 19.7392 | + | 12.5160i | 0.766030 | + | 0.485713i | ||||
\(665\) | 12.4546 | − | 28.3789i | 0.482968 | − | 1.10049i | ||||
\(666\) | −40.4786 | + | 0.879105i | −1.56851 | + | 0.0340646i | ||||
\(667\) | −17.6806 | + | 30.6237i | −0.684595 | + | 1.18575i | ||||
\(668\) | 8.35443 | − | 6.62522i | 0.323242 | − | 0.256337i | ||||
\(669\) | 34.1866 | − | 24.8547i | 1.32173 | − | 0.960939i | ||||
\(670\) | −17.9330 | − | 15.4752i | −0.692812 | − | 0.597860i | ||||
\(671\) | −9.86269 | − | 17.0827i | −0.380745 | − | 0.659469i | ||||
\(672\) | −15.2619 | − | 16.9168i | −0.588742 | − | 0.652581i | ||||
\(673\) | −4.94153 | −0.190482 | −0.0952409 | − | 0.995454i | \(-0.530362\pi\) | ||||
−0.0952409 | + | 0.995454i | \(0.530362\pi\) | |||||||
\(674\) | 19.8868 | − | 6.92826i | 0.766012 | − | 0.266867i | ||||
\(675\) | 16.8069 | + | 15.1038i | 0.646896 | + | 0.581347i | ||||
\(676\) | −0.852994 | − | 0.337464i | −0.0328074 | − | 0.0129794i | ||||
\(677\) | −7.66717 | −0.294673 | −0.147337 | − | 0.989086i | \(-0.547070\pi\) | ||||
−0.147337 | + | 0.989086i | \(0.547070\pi\) | |||||||
\(678\) | 4.75413 | + | 10.0912i | 0.182581 | + | 0.387551i | ||||
\(679\) | −1.60221 | − | 0.925039i | −0.0614874 | − | 0.0354997i | ||||
\(680\) | 1.01826 | − | 24.5265i | 0.0390485 | − | 0.940547i | ||||
\(681\) | −42.8745 | − | 19.0726i | −1.64295 | − | 0.730862i | ||||
\(682\) | 0.313583 | + | 0.270606i | 0.0120077 | + | 0.0103620i | ||||
\(683\) | − | 34.5515i | − | 1.32208i | −0.750352 | − | 0.661038i | \(-0.770116\pi\) | ||
0.750352 | − | 0.661038i | \(-0.229884\pi\) | |||||||
\(684\) | −21.8734 | − | 14.3372i | −0.836349 | − | 0.548197i | ||||
\(685\) | 7.05677i | 0.269625i | ||||||||
\(686\) | −18.4612 | + | 21.3932i | −0.704853 | + | 0.816798i | ||||
\(687\) | 3.91661 | + | 1.74229i | 0.149428 | + | 0.0664725i | ||||
\(688\) | 3.90872 | − | 16.7045i | 0.149019 | − | 0.636852i | ||||
\(689\) | −23.1147 | − | 13.3453i | −0.880599 | − | 0.508414i | ||||
\(690\) | −35.5984 | + | 16.7710i | −1.35521 | + | 0.638460i | ||||
\(691\) | 31.8602 | 1.21202 | 0.606009 | − | 0.795457i | \(-0.292769\pi\) | ||||
0.606009 | + | 0.795457i | \(0.292769\pi\) | |||||||
\(692\) | −45.4986 | − | 18.0003i | −1.72960 | − | 0.684269i | ||||
\(693\) | 7.46308 | + | 8.27795i | 0.283499 | + | 0.314453i | ||||
\(694\) | 15.0286 | + | 43.1380i | 0.570478 | + | 1.63750i | ||||
\(695\) | 42.4024 | 1.60841 | ||||||||
\(696\) | −14.6387 | + | 29.5425i | −0.554880 | + | 1.11981i | ||||
\(697\) | 12.6623 | + | 21.9317i | 0.479618 | + | 0.830723i | ||||
\(698\) | −1.32512 | + | 1.53558i | −0.0501565 | + | 0.0581224i | ||||
\(699\) | −0.412874 | + | 0.300172i | −0.0156163 | + | 0.0113536i | ||||
\(700\) | −12.5666 | − | 15.8465i | −0.474973 | − | 0.598943i | ||||
\(701\) | 21.2208 | − | 36.7555i | 0.801498 | − | 1.38823i | −0.117132 | − | 0.993116i | \(-0.537370\pi\) |
0.918630 | − | 0.395119i | \(-0.129296\pi\) | |||||||
\(702\) | −25.8149 | + | 3.28977i | −0.974321 | + | 0.124164i | ||||
\(703\) | 41.3460 | − | 4.56823i | 1.55939 | − | 0.172294i | ||||
\(704\) | −11.5606 | + | 5.45116i | −0.435706 | + | 0.205448i | ||||
\(705\) | 5.11959 | − | 11.5087i | 0.192815 | − | 0.433442i | ||||
\(706\) | 13.0964 | − | 15.1763i | 0.492888 | − | 0.571169i | ||||
\(707\) | −7.02127 | + | 4.05373i | −0.264062 | + | 0.152456i | ||||
\(708\) | 21.3898 | + | 21.8171i | 0.803880 | + | 0.819938i | ||||
\(709\) | −1.86140 | + | 1.07468i | −0.0699064 | + | 0.0403605i | −0.534546 | − | 0.845140i | \(-0.679517\pi\) |
0.464639 | + | 0.885500i | \(0.346184\pi\) | |||||||
\(710\) | 3.85591 | − | 20.2278i | 0.144710 | − | 0.759137i | ||||
\(711\) | 9.87895 | + | 46.3313i | 0.370490 | + | 1.73756i | ||||
\(712\) | 1.81889 | − | 43.8111i | 0.0681659 | − | 1.64189i | ||||
\(713\) | −0.834155 | + | 0.481600i | −0.0312394 | + | 0.0180360i | ||||
\(714\) | 1.34564 | − | 16.1119i | 0.0503593 | − | 0.602974i | ||||
\(715\) | −17.2995 | −0.646964 | ||||||||
\(716\) | −11.0750 | + | 1.63839i | −0.413891 | + | 0.0612295i | ||||
\(717\) | −11.4177 | + | 25.6665i | −0.426400 | + | 0.958535i | ||||
\(718\) | −35.7099 | + | 12.4408i | −1.33268 | + | 0.464285i | ||||
\(719\) | 12.8246 | − | 22.2128i | 0.478276 | − | 0.828399i | −0.521413 | − | 0.853304i | \(-0.674595\pi\) |
0.999690 | + | 0.0249052i | \(0.00792840\pi\) | |||||||
\(720\) | −32.1317 | + | 17.7133i | −1.19748 | + | 0.660138i | ||||
\(721\) | 6.37322 | 0.237351 | ||||||||
\(722\) | 23.6845 | + | 12.6903i | 0.881447 | + | 0.472284i | ||||
\(723\) | 46.7205 | − | 4.92561i | 1.73755 | − | 0.183185i | ||||
\(724\) | −17.3707 | − | 21.9045i | −0.645575 | − | 0.814073i | ||||
\(725\) | −14.6334 | + | 25.3459i | −0.543473 | + | 0.941322i | ||||
\(726\) | −18.7187 | + | 8.81866i | −0.694716 | + | 0.327291i | ||||
\(727\) | −16.0360 | − | 9.25836i | −0.594741 | − | 0.343374i | 0.172229 | − | 0.985057i | \(-0.444903\pi\) |
−0.766970 | + | 0.641683i | \(0.778236\pi\) | |||||||
\(728\) | 23.2721 | + | 0.966182i | 0.862521 | + | 0.0358091i | ||||
\(729\) | 21.8130 | − | 15.9120i | 0.807889 | − | 0.589335i | ||||
\(730\) | 0.763055 | − | 4.00294i | 0.0282419 | − | 0.148155i | ||||
\(731\) | 10.5431 | − | 6.08706i | 0.389950 | − | 0.225138i | ||||
\(732\) | 41.4192 | − | 10.6604i | 1.53090 | − | 0.394019i | ||||
\(733\) | − | 40.6193i | − | 1.50031i | −0.661262 | − | 0.750155i | \(-0.729979\pi\) | ||
0.661262 | − | 0.750155i | \(-0.270021\pi\) | |||||||
\(734\) | −21.2015 | − | 4.04151i | −0.782562 | − | 0.149175i | ||||
\(735\) | 4.95981 | + | 6.82201i | 0.182945 | + | 0.251633i | ||||
\(736\) | −3.12628 | − | 29.5574i | −0.115236 | − | 1.08950i | ||||
\(737\) | −7.57943 | + | 4.37599i | −0.279192 | + | 0.161192i | ||||
\(738\) | 18.2098 | − | 33.1840i | 0.670311 | − | 1.22152i | ||||
\(739\) | 18.5402 | − | 32.1126i | 0.682012 | − | 1.18128i | −0.292353 | − | 0.956310i | \(-0.594438\pi\) |
0.974366 | − | 0.224970i | \(-0.0722283\pi\) | |||||||
\(740\) | 21.4685 | − | 54.2650i | 0.789198 | − | 1.99482i | ||||
\(741\) | 26.1208 | − | 5.70633i | 0.959570 | − | 0.209627i | ||||
\(742\) | −24.3468 | − | 4.64108i | −0.893799 | − | 0.170379i | ||||
\(743\) | 16.1173 | − | 27.9160i | 0.591286 | − | 1.02414i | −0.402774 | − | 0.915300i | \(-0.631954\pi\) |
0.994060 | − | 0.108838i | \(-0.0347129\pi\) | |||||||
\(744\) | −0.747674 | + | 0.497524i | −0.0274111 | + | 0.0182401i | ||||
\(745\) | 32.5022 | + | 56.2955i | 1.19079 | + | 2.06251i | ||||
\(746\) | −17.1745 | + | 19.9022i | −0.628804 | + | 0.728671i | ||||
\(747\) | 18.4124 | − | 16.5999i | 0.673673 | − | 0.607358i | ||||
\(748\) | −8.43391 | − | 3.33665i | −0.308374 | − | 0.122000i | ||||
\(749\) | 9.10185 | 0.332574 | ||||||||
\(750\) | 4.41289 | − | 2.07898i | 0.161136 | − | 0.0759136i | ||||
\(751\) | 7.66856 | − | 4.42745i | 0.279830 | − | 0.161560i | −0.353517 | − | 0.935428i | \(-0.615014\pi\) |
0.633346 | + | 0.773868i | \(0.281681\pi\) | |||||||
\(752\) | 6.93875 | + | 6.50905i | 0.253030 | + | 0.237361i | ||||
\(753\) | −2.19389 | − | 20.8095i | −0.0799497 | − | 0.758341i | ||||
\(754\) | −11.0890 | − | 31.8297i | −0.403836 | − | 1.15917i | ||||
\(755\) | 22.3140 | + | 12.8830i | 0.812088 | + | 0.468859i | ||||
\(756\) | −21.6326 | + | 10.7715i | −0.786770 | + | 0.391755i | ||||
\(757\) | −2.31803 | − | 1.33832i | −0.0842502 | − | 0.0486419i | 0.457283 | − | 0.889321i | \(-0.348823\pi\) |
−0.541533 | + | 0.840679i | \(0.682156\pi\) | |||||||
\(758\) | 40.8042 | + | 35.2119i | 1.48208 | + | 1.27895i | ||||
\(759\) | 1.52442 | + | 14.4595i | 0.0553331 | + | 0.524846i | ||||
\(760\) | 31.2781 | − | 21.0399i | 1.13458 | − | 0.763196i | ||||
\(761\) | 16.9101i | 0.612990i | 0.951872 | + | 0.306495i | \(0.0991563\pi\) | ||||
−0.951872 | + | 0.306495i | \(0.900844\pi\) | |||||||
\(762\) | −7.40726 | + | 10.6679i | −0.268337 | + | 0.386458i | ||||
\(763\) | −22.4040 | + | 38.8049i | −0.811081 | + | 1.40483i | ||||
\(764\) | 2.15543 | + | 14.5700i | 0.0779806 | + | 0.527123i | ||||
\(765\) | −24.7675 | − | 8.02995i | −0.895470 | − | 0.290324i | ||||
\(766\) | −29.4463 | + | 10.2586i | −1.06394 | + | 0.370660i | ||||
\(767\) | −31.2350 | −1.12783 | ||||||||
\(768\) | −4.65913 | − | 27.3184i | −0.168122 | − | 0.985766i | ||||
\(769\) | −20.3542 | − | 35.2545i | −0.733992 | − | 1.27131i | −0.955164 | − | 0.296077i | \(-0.904322\pi\) |
0.221172 | − | 0.975235i | \(-0.429012\pi\) | |||||||
\(770\) | −15.1703 | + | 5.28509i | −0.546699 | + | 0.190461i | ||||
\(771\) | 1.72261 | + | 16.3393i | 0.0620383 | + | 0.588447i | ||||
\(772\) | 7.08049 | + | 2.80121i | 0.254833 | + | 0.100818i | ||||
\(773\) | −20.1211 | − | 34.8508i | −0.723707 | − | 1.25350i | −0.959504 | − | 0.281695i | \(-0.909103\pi\) |
0.235797 | − | 0.971802i | \(-0.424230\pi\) | |||||||
\(774\) | −15.9523 | − | 8.75388i | −0.573395 | − | 0.314652i | ||||
\(775\) | −0.690394 | + | 0.398599i | −0.0247997 | + | 0.0143181i | ||||
\(776\) | −1.04335 | − | 1.99382i | −0.0374540 | − | 0.0715741i | ||||
\(777\) | 15.6223 | − | 35.1185i | 0.560448 | − | 1.25987i | ||||
\(778\) | 1.33349 | − | 6.99539i | 0.0478079 | − | 0.250797i | ||||
\(779\) | −15.6284 | + | 35.6108i | −0.559945 | + | 1.27589i | ||||
\(780\) | 10.0659 | − | 36.1333i | 0.360417 | − | 1.29378i | ||||
\(781\) | −6.58911 | − | 3.80422i | −0.235777 | − | 0.136126i | ||||
\(782\) | 13.7796 | − | 15.9681i | 0.492759 | − | 0.571018i | ||||
\(783\) | 26.0105 | + | 23.3749i | 0.929541 | + | 0.835351i | ||||
\(784\) | −6.09772 | + | 1.84451i | −0.217776 | + | 0.0658755i | ||||
\(785\) | −5.91865 | + | 3.41714i | −0.211246 | + | 0.121963i | ||||
\(786\) | −47.2558 | − | 3.94672i | −1.68556 | − | 0.140775i | ||||
\(787\) | 20.7098 | 0.738226 | 0.369113 | − | 0.929385i | \(-0.379662\pi\) | ||||
0.369113 | + | 0.929385i | \(0.379662\pi\) | |||||||
\(788\) | 0.315669 | + | 2.13382i | 0.0112452 | + | 0.0760142i | ||||
\(789\) | 11.4144 | + | 15.7001i | 0.406364 | + | 0.558937i | ||||
\(790\) | −67.0729 | − | 12.7857i | −2.38635 | − | 0.454894i | ||||
\(791\) | −10.5898 | −0.376529 | ||||||||
\(792\) | 2.27464 | + | 13.3645i | 0.0808259 | + | 0.474885i | ||||
\(793\) | −21.8616 | + | 37.8653i | −0.776327 | + | 1.34464i | ||||
\(794\) | 5.47535 | + | 15.7164i | 0.194313 | + | 0.557754i | ||||
\(795\) | −16.2227 | + | 36.4681i | −0.575359 | + | 1.29339i | ||||
\(796\) | 16.6776 | + | 21.0305i | 0.591120 | + | 0.745405i | ||||
\(797\) | −14.3681 | −0.508943 | −0.254472 | − | 0.967080i | \(-0.581902\pi\) | ||||
−0.254472 | + | 0.967080i | \(0.581902\pi\) | |||||||
\(798\) | 21.1625 | − | 12.9840i | 0.749145 | − | 0.459630i | ||||
\(799\) | 6.75129i | 0.238844i | ||||||||
\(800\) | −2.58749 | − | 24.4634i | −0.0914814 | − | 0.864910i | ||||
\(801\) | −44.2415 | − | 14.3437i | −1.56320 | − | 0.506810i | ||||
\(802\) | 7.78169 | + | 22.3365i | 0.274781 | + | 0.788730i | ||||
\(803\) | −1.30393 | − | 0.752827i | −0.0460148 | − | 0.0265667i | ||||
\(804\) | −4.72992 | − | 18.3773i | −0.166811 | − | 0.648119i | ||||
\(805\) | − | 37.3572i | − | 1.31667i | ||||||
\(806\) | 0.171919 | − | 0.901874i | 0.00605557 | − | 0.0317671i | ||||
\(807\) | 18.1602 | + | 24.9786i | 0.639270 | + | 0.879289i | ||||
\(808\) | −9.85289 | − | 0.409060i | −0.346623 | − | 0.0143907i | ||||
\(809\) | 9.93099i | 0.349155i | 0.984643 | + | 0.174578i | \(0.0558560\pi\) | ||||
−0.984643 | + | 0.174578i | \(0.944144\pi\) | |||||||
\(810\) | 8.93997 | + | 37.8756i | 0.314119 | + | 1.33081i | ||||
\(811\) | 4.58665 | + | 7.94432i | 0.161059 | + | 0.278963i | 0.935249 | − | 0.353991i | \(-0.115176\pi\) |
−0.774190 | + | 0.632954i | \(0.781842\pi\) | |||||||
\(812\) | −19.4483 | − | 24.5244i | −0.682501 | − | 0.860636i | ||||
\(813\) | −7.18039 | + | 5.22036i | −0.251827 | + | 0.183086i | ||||
\(814\) | −16.3243 | − | 14.0870i | −0.572166 | − | 0.493749i | ||||
\(815\) | −18.8379 | + | 32.6282i | −0.659863 | + | 1.14292i | ||||
\(816\) | 11.8766 | − | 15.6744i | 0.415765 | − | 0.548713i | ||||
\(817\) | 17.1189 | + | 7.51294i | 0.598916 | + | 0.262844i | ||||
\(818\) | −8.67392 | + | 45.5028i | −0.303276 | + | 1.59097i | ||||
\(819\) | 7.61927 | − | 23.5008i | 0.266239 | − | 0.821183i | ||||
\(820\) | 33.8998 | + | 42.7477i | 1.18383 | + | 1.49282i | ||||
\(821\) | −4.15246 | − | 7.19227i | −0.144922 | − | 0.251012i | 0.784422 | − | 0.620228i | \(-0.212960\pi\) |
−0.929344 | + | 0.369216i | \(0.879626\pi\) | |||||||
\(822\) | −3.22436 | + | 4.64371i | −0.112462 | + | 0.161968i | ||||
\(823\) | −31.1529 | + | 17.9861i | −1.08592 | + | 0.626956i | −0.932487 | − | 0.361203i | \(-0.882366\pi\) |
−0.153433 | + | 0.988159i | \(0.549033\pi\) | |||||||
\(824\) | 6.54684 | + | 4.15112i | 0.228070 | + | 0.144611i | ||||
\(825\) | 1.26170 | + | 11.9675i | 0.0439267 | + | 0.416655i | ||||
\(826\) | −27.3906 | + | 9.54247i | −0.953042 | + | 0.332025i | ||||
\(827\) | 4.31370 | − | 2.49051i | 0.150002 | − | 0.0866036i | −0.423120 | − | 0.906073i | \(-0.639065\pi\) |
0.573122 | + | 0.819470i | \(0.305732\pi\) | |||||||
\(828\) | −31.0885 | − | 5.22938i | −1.08040 | − | 0.181733i | ||||
\(829\) | − | 11.6441i | − | 0.404418i | −0.979342 | − | 0.202209i | \(-0.935188\pi\) | ||
0.979342 | − | 0.202209i | \(-0.0648120\pi\) | |||||||
\(830\) | 11.7554 | + | 33.7427i | 0.408037 | + | 1.17123i | ||||
\(831\) | −40.2029 | − | 17.8841i | −1.39462 | − | 0.620393i | ||||
\(832\) | 23.2767 | + | 16.1505i | 0.806976 | + | 0.559918i | ||||
\(833\) | −3.91507 | − | 2.26037i | −0.135649 | − | 0.0783170i | ||||
\(834\) | 27.9029 | + | 19.3744i | 0.966198 | + | 0.670879i | ||||
\(835\) | 16.3007 | 0.564109 | ||||||||
\(836\) | −3.53908 | − | 13.4710i | −0.122401 | − | 0.465904i | ||||
\(837\) | 0.295224 | + | 0.905654i | 0.0102044 | + | 0.0313040i | ||||
\(838\) | −13.8580 | + | 16.0589i | −0.478717 | + | 0.554747i | ||||
\(839\) | −0.220419 | + | 0.381777i | −0.00760972 | + | 0.0131804i | −0.869805 | − | 0.493395i | \(-0.835756\pi\) |
0.862195 | + | 0.506576i | \(0.169089\pi\) | |||||||
\(840\) | −2.21192 | − | 34.7613i | −0.0763187 | − | 1.19938i | ||||
\(841\) | −8.14695 | + | 14.1109i | −0.280929 | + | 0.486584i | ||||
\(842\) | 1.52936 | + | 4.38987i | 0.0527054 | + | 0.151285i | ||||
\(843\) | 3.83062 | + | 36.3343i | 0.131934 | + | 1.25142i | ||||
\(844\) | −16.3665 | − | 6.47495i | −0.563356 | − | 0.222877i | ||||
\(845\) | −0.701192 | − | 1.21450i | −0.0241217 | − | 0.0417801i | ||||
\(846\) | 8.62745 | − | 5.23406i | 0.296618 | − | 0.179951i | ||||
\(847\) | − | 19.6435i | − | 0.674958i | ||||||
\(848\) | −21.9871 | − | 20.6255i | −0.755041 | − | 0.708283i | ||||
\(849\) | 19.0593 | + | 26.2152i | 0.654112 | + | 0.899703i | ||||
\(850\) | 11.4048 | − | 13.2161i | 0.391181 | − | 0.453308i | ||||
\(851\) | 43.4239 | − | 25.0708i | 1.48855 | − | 0.859416i | ||||
\(852\) | 11.7798 | − | 11.5491i | 0.403570 | − | 0.395665i | ||||
\(853\) | 32.4333 | + | 18.7254i | 1.11049 | + | 0.641144i | 0.938957 | − | 0.344033i | \(-0.111793\pi\) |
0.171537 | + | 0.985178i | \(0.445127\pi\) | |||||||
\(854\) | −7.60279 | + | 39.8838i | −0.260162 | + | 1.36479i | ||||
\(855\) | −12.5818 | − | 37.9516i | −0.430288 | − | 1.29792i | ||||
\(856\) | 9.34980 | + | 5.92838i | 0.319570 | + | 0.202628i | ||||
\(857\) | −20.4848 | − | 11.8269i | −0.699748 | − | 0.404000i | 0.107505 | − | 0.994204i | \(-0.465714\pi\) |
−0.807254 | + | 0.590205i | \(0.799047\pi\) | |||||||
\(858\) | −11.3839 | − | 7.90441i | −0.388640 | − | 0.269852i | ||||
\(859\) | 5.35973 | + | 9.28333i | 0.182872 | + | 0.316743i | 0.942857 | − | 0.333197i | \(-0.108127\pi\) |
−0.759986 | + | 0.649940i | \(0.774794\pi\) | |||||||
\(860\) | 20.5499 | − | 16.2964i | 0.700744 | − | 0.555704i | ||||
\(861\) | 21.1308 | + | 29.0645i | 0.720134 | + | 0.990515i | ||||
\(862\) | −6.48195 | + | 34.0039i | −0.220776 | + | 1.15818i | ||||
\(863\) | −20.1327 | −0.685324 | −0.342662 | − | 0.939459i | \(-0.611329\pi\) | ||||
−0.342662 | + | 0.939459i | \(0.611329\pi\) | |||||||
\(864\) | −29.2378 | − | 3.02524i | −0.994690 | − | 0.102921i | ||||
\(865\) | −37.4015 | − | 64.7813i | −1.27169 | − | 2.20263i | ||||
\(866\) | 0.913157 | − | 4.79036i | 0.0310303 | − | 0.162783i | ||||
\(867\) | −15.4042 | + | 1.62402i | −0.523154 | + | 0.0551547i | ||||
\(868\) | −0.124769 | − | 0.843394i | −0.00423492 | − | 0.0286267i | ||||
\(869\) | −12.6143 | + | 21.8486i | −0.427911 | + | 0.741164i | ||||
\(870\) | −45.5978 | + | 21.4818i | −1.54591 | + | 0.728302i | ||||
\(871\) | 16.8005 | + | 9.69979i | 0.569264 | + | 0.328665i | ||||
\(872\) | −48.2895 | + | 25.2694i | −1.63529 | + | 0.855731i | ||||
\(873\) | −2.33434 | + | 0.497738i | −0.0790055 | + | 0.0168459i | ||||
\(874\) | 32.2898 | + | 2.53420i | 1.09222 | + | 0.0857205i | ||||
\(875\) | 4.63091i | 0.156553i | ||||||||
\(876\) | 2.33114 | − | 2.28548i | 0.0787618 | − | 0.0772192i | ||||
\(877\) | 12.9517 | + | 7.47768i | 0.437349 | + | 0.252503i | 0.702472 | − | 0.711711i | \(-0.252079\pi\) |
−0.265124 | + | 0.964214i | \(0.585413\pi\) | |||||||
\(878\) | −10.9775 | − | 31.5097i | −0.370473 | − | 1.06340i | ||||
\(879\) | 16.8754 | − | 37.9353i | 0.569193 | − | 1.27953i | ||||
\(880\) | −19.0259 | − | 4.45192i | −0.641364 | − | 0.150074i | ||||
\(881\) | 28.6212i | 0.964273i | 0.876096 | + | 0.482137i | \(0.160139\pi\) | ||||
−0.876096 | + | 0.482137i | \(0.839861\pi\) | |||||||
\(882\) | 0.146713 | + | 6.75544i | 0.00494009 | + | 0.227467i | ||||
\(883\) | 3.60236 | + | 6.23947i | 0.121229 | + | 0.209975i | 0.920253 | − | 0.391325i | \(-0.127983\pi\) |
−0.799024 | + | 0.601300i | \(0.794650\pi\) | |||||||
\(884\) | 2.94215 | + | 19.8880i | 0.0989552 | + | 0.668904i | ||||
\(885\) | 4.89731 | + | 46.4521i | 0.164621 | + | 1.56147i | ||||
\(886\) | 14.1466 | + | 2.69668i | 0.475265 | + | 0.0905969i | ||||
\(887\) | 19.7030 | + | 34.1266i | 0.661563 | + | 1.14586i | 0.980205 | + | 0.197985i | \(0.0634397\pi\) |
−0.318643 | + | 0.947875i | \(0.603227\pi\) | |||||||
\(888\) | 38.9219 | − | 25.8998i | 1.30613 | − | 0.869139i | ||||
\(889\) | −6.16464 | − | 10.6775i | −0.206755 | − | 0.358111i | ||||
\(890\) | 43.7955 | − | 50.7510i | 1.46803 | − | 1.70118i | ||||
\(891\) | 14.3021 | + | 1.48474i | 0.479139 | + | 0.0497408i | ||||
\(892\) | −17.9546 | + | 45.3829i | −0.601163 | + | 1.51953i | ||||
\(893\) | −8.35495 | + | 6.13842i | −0.279588 | + | 0.205414i | ||||
\(894\) | −4.33426 | + | 51.8960i | −0.144959 | + | 1.73566i | ||||
\(895\) | −14.8224 | − | 8.55773i | −0.495459 | − | 0.286053i | ||||
\(896\) | 25.3459 | + | 7.05154i | 0.846749 | + | 0.235575i | ||||
\(897\) | 26.0673 | − | 18.9517i | 0.870362 | − | 0.632780i | ||||
\(898\) | −2.95572 | + | 3.42515i | −0.0986338 | + | 0.114299i | ||||
\(899\) | −1.06846 | + | 0.616878i | −0.0356353 | + | 0.0205740i | ||||
\(900\) | −25.7306 | − | 4.32813i | −0.857685 | − | 0.144271i | ||||
\(901\) | − | 21.3931i | − | 0.712709i | ||||||
\(902\) | 19.0361 | − | 6.63189i | 0.633834 | − | 0.220818i | ||||
\(903\) | 13.9720 | − | 10.1581i | 0.464959 | − | 0.338039i | ||||
\(904\) | −10.8783 | − | 6.89753i | −0.361806 | − | 0.229409i | ||||
\(905\) | − | 42.7388i | − | 1.42068i | ||||||
\(906\) | 8.79725 | + | 18.6733i | 0.292269 | + | 0.620377i | ||||
\(907\) | −16.5252 | + | 28.6226i | −0.548712 | + | 0.950397i | 0.449651 | + | 0.893204i | \(0.351548\pi\) |
−0.998363 | + | 0.0571924i | \(0.981785\pi\) | |||||||
\(908\) | 53.6013 | − | 7.92958i | 1.77882 | − | 0.263152i | ||||
\(909\) | −3.22583 | + | 9.94970i | −0.106994 | + | 0.330011i | ||||
\(910\) | 26.9586 | + | 23.2638i | 0.893668 | + | 0.771188i | ||||
\(911\) | 29.3759 | 0.973268 | 0.486634 | − | 0.873606i | \(-0.338225\pi\) | ||||
0.486634 | + | 0.873606i | \(0.338225\pi\) | |||||||
\(912\) | 30.1960 | + | 0.446214i | 0.999891 | + | 0.0147756i | ||||
\(913\) | 13.2023 | 0.436934 | ||||||||
\(914\) | −5.03187 | − | 4.34224i | −0.166439 | − | 0.143628i | ||||
\(915\) | 59.7402 | + | 26.5752i | 1.97495 | + | 0.878549i | ||||
\(916\) | −4.89651 | + | 0.724372i | −0.161785 | + | 0.0239339i | ||||
\(917\) | 22.5087 | − | 38.9863i | 0.743304 | − | 1.28744i | ||||
\(918\) | −12.6292 | − | 16.6008i | −0.416826 | − | 0.547907i | ||||
\(919\) | 36.1256i | 1.19167i | 0.803105 | + | 0.595837i | \(0.203180\pi\) | ||||
−0.803105 | + | 0.595837i | \(0.796820\pi\) | |||||||
\(920\) | 24.3322 | − | 38.3749i | 0.802208 | − | 1.26518i | ||||
\(921\) | −16.0985 | − | 22.1428i | −0.530464 | − | 0.729631i | ||||
\(922\) | 28.5402 | − | 9.94295i | 0.939920 | − | 0.327454i | ||||
\(923\) | 16.8648i | 0.555113i | ||||||||
\(924\) | −12.3976 | − | 3.45370i | −0.407852 | − | 0.113618i | ||||
\(925\) | 35.9400 | − | 20.7500i | 1.18170 | − | 0.682256i | ||||
\(926\) | 5.99458 | − | 6.94663i | 0.196994 | − | 0.228281i | ||||
\(927\) | 6.10677 | − | 5.50563i | 0.200573 | − | 0.180829i | ||||
\(928\) | −4.00443 | − | 37.8599i | −0.131452 | − | 1.24281i | ||||
\(929\) | 43.1616 | + | 24.9194i | 1.41609 | + | 0.817578i | 0.995952 | − | 0.0898840i | \(-0.0286496\pi\) |
0.420134 | + | 0.907462i | \(0.361983\pi\) | |||||||
\(930\) | −1.36820 | − | 0.114270i | −0.0448651 | − | 0.00374705i | ||||
\(931\) | −0.762388 | − | 6.90020i | −0.0249863 | − | 0.226145i | ||||
\(932\) | 0.216838 | − | 0.548093i | 0.00710278 | − | 0.0179534i | ||||
\(933\) | 2.52257 | − | 5.67066i | 0.0825853 | − | 0.185649i | ||||
\(934\) | −14.1366 | + | 16.3818i | −0.462563 | + | 0.536027i | ||||
\(935\) | −6.93298 | − | 12.0083i | −0.226733 | − | 0.392713i | ||||
\(936\) | 23.1338 | − | 19.1782i | 0.756151 | − | 0.626860i | ||||
\(937\) | 21.1994 | + | 36.7184i | 0.692554 | + | 1.19954i | 0.970998 | + | 0.239086i | \(0.0768478\pi\) |
−0.278445 | + | 0.960452i | \(0.589819\pi\) | |||||||
\(938\) | 17.6961 | + | 3.37329i | 0.577797 | + | 0.110142i | ||||
\(939\) | 7.47175 | − | 0.787726i | 0.243831 | − | 0.0257065i | ||||
\(940\) | 2.12851 | + | 14.3880i | 0.0694244 | + | 0.469286i | ||||
\(941\) | −0.0527703 | − | 0.0914008i | −0.00172026 | − | 0.00297958i | 0.865164 | − | 0.501489i | \(-0.167214\pi\) |
−0.866884 | + | 0.498509i | \(0.833881\pi\) | |||||||
\(942\) | −5.45612 | − | 0.455685i | −0.177770 | − | 0.0148470i | ||||
\(943\) | 46.8770i | 1.52652i | ||||||||
\(944\) | −34.3522 | − | 8.03815i | −1.11807 | − | 0.261619i | ||||
\(945\) | −36.1445 | − | 7.64655i | −1.17578 | − | 0.248742i | ||||
\(946\) | −3.18811 | − | 9.15112i | −0.103654 | − | 0.297529i | ||||
\(947\) | 5.50116 | + | 3.17609i | 0.178764 | + | 0.103209i | 0.586712 | − | 0.809796i | \(-0.300422\pi\) |
−0.407948 | + | 0.913005i | \(0.633756\pi\) | |||||||
\(948\) | −38.2953 | − | 39.0603i | −1.24377 | − | 1.26862i | ||||
\(949\) | 3.33742i | 0.108337i | ||||||||
\(950\) | 26.7248 | + | 2.09744i | 0.867068 | + | 0.0680501i | ||||
\(951\) | −29.5260 | + | 3.11285i | −0.957447 | + | 0.100941i | ||||
\(952\) | 8.65592 | + | 16.5413i | 0.280540 | + | 0.536107i | ||||
\(953\) | 14.1079 | + | 8.14519i | 0.456999 | + | 0.263849i | 0.710782 | − | 0.703413i | \(-0.248341\pi\) |
−0.253782 | + | 0.967261i | \(0.581675\pi\) | |||||||
\(954\) | −27.3382 | + | 16.5854i | −0.885107 | + | 0.536972i | ||||
\(955\) | −11.2583 | + | 19.5000i | −0.364312 | + | 0.631006i | ||||
\(956\) | −4.74699 | − | 32.0881i | −0.153529 | − | 1.03780i | ||||
\(957\) | 1.95262 | + | 18.5211i | 0.0631194 | + | 0.598701i | ||||
\(958\) | 2.55769 | − | 13.4175i | 0.0826352 | − | 0.433499i | ||||
\(959\) | −2.68345 | − | 4.64787i | −0.0866531 | − | 0.150088i | ||||
\(960\) | 20.3692 | − | 37.1489i | 0.657412 | − | 1.19898i | ||||
\(961\) | 30.9664 | 0.998916 | ||||||||
\(962\) | −8.94962 | + | 46.9491i | −0.288547 | + | 1.51370i | ||||
\(963\) | 8.72132 | − | 7.86280i | 0.281040 | − | 0.253375i | ||||
\(964\) | −42.5043 | + | 33.7067i | −1.36897 | + | 1.08562i | ||||
\(965\) | 5.82043 | + | 10.0813i | 0.187366 | + | 0.324528i | ||||
\(966\) | 17.0691 | − | 24.5829i | 0.549190 | − | 0.790942i | ||||
\(967\) | −6.64559 | − | 3.83683i | −0.213708 | − | 0.123384i | 0.389326 | − | 0.921100i | \(-0.372708\pi\) |
−0.603033 | + | 0.797716i | \(0.706041\pi\) | |||||||
\(968\) | 12.7946 | − | 20.1786i | 0.411233 | − | 0.648565i | ||||
\(969\) | 14.4292 | + | 15.8446i | 0.463533 | + | 0.509002i | ||||
\(970\) | 0.644190 | − | 3.37938i | 0.0206837 | − | 0.108505i | ||||
\(971\) | 20.8819 | + | 12.0561i | 0.670131 | + | 0.386900i | 0.796126 | − | 0.605131i | \(-0.206879\pi\) |
−0.125995 | + | 0.992031i | \(0.540212\pi\) | |||||||
\(972\) | −11.4230 | + | 29.0089i | −0.366394 | + | 0.930460i | ||||
\(973\) | −27.9279 | + | 16.1242i | −0.895328 | + | 0.516918i | ||||
\(974\) | 2.34082 | − | 2.71259i | 0.0750048 | − | 0.0869170i | ||||
\(975\) | 21.5748 | − | 15.6855i | 0.690946 | − | 0.502339i | ||||
\(976\) | −33.7877 | + | 36.0183i | −1.08152 | + | 1.15292i | ||||
\(977\) | − | 39.5123i | − | 1.26411i | −0.774923 | − | 0.632056i | \(-0.782211\pi\) | ||
0.774923 | − | 0.632056i | \(-0.217789\pi\) | |||||||
\(978\) | −27.3046 | + | 12.8636i | −0.873106 | + | 0.411333i | ||||
\(979\) | −12.3842 | − | 21.4501i | −0.395801 | − | 0.685548i | ||||
\(980\) | −9.05625 | − | 3.58287i | −0.289291 | − | 0.114450i | ||||
\(981\) | 12.0550 | + | 56.5367i | 0.384887 | + | 1.80508i | ||||
\(982\) | −9.50209 | − | 27.2747i | −0.303224 | − | 0.870371i | ||||
\(983\) | −8.91779 | + | 15.4461i | −0.284433 | + | 0.492653i | −0.972472 | − | 0.233021i | \(-0.925139\pi\) |
0.688038 | + | 0.725674i | \(0.258472\pi\) | |||||||
\(984\) | 2.77559 | + | 43.6195i | 0.0884827 | + | 1.39054i | ||||
\(985\) | −1.64882 | + | 2.85584i | −0.0525358 | + | 0.0909947i | ||||
\(986\) | 17.6502 | − | 20.4534i | 0.562098 | − | 0.651370i | ||||
\(987\) | 1.00439 | + | 9.52688i | 0.0319701 | + | 0.303244i | ||||
\(988\) | −21.9369 | + | 21.7236i | −0.697907 | + | 0.691119i | ||||
\(989\) | 22.5349 | 0.716567 | ||||||||
\(990\) | −9.97041 | + | 18.1693i | −0.316880 | + | 0.577457i | ||||
\(991\) | 20.0109 | + | 11.5533i | 0.635668 | + | 0.367003i | 0.782944 | − | 0.622092i | \(-0.213717\pi\) |
−0.147276 | + | 0.989095i | \(0.547050\pi\) | |||||||
\(992\) | 0.421168 | − | 0.947636i | 0.0133721 | − | 0.0300875i | ||||
\(993\) | −0.880067 | + | 1.97836i | −0.0279281 | + | 0.0627814i | ||||
\(994\) | 5.15230 | + | 14.7891i | 0.163421 | + | 0.469083i | ||||
\(995\) | 41.0335i | 1.30085i | ||||||||
\(996\) | −7.68194 | + | 27.5756i | −0.243412 | + | 0.873768i | ||||
\(997\) | 9.14736 | − | 5.28123i | 0.289700 | − | 0.167258i | −0.348107 | − | 0.937455i | \(-0.613175\pi\) |
0.637806 | + | 0.770197i | \(0.279842\pi\) | |||||||
\(998\) | −29.3164 | + | 10.2134i | −0.927996 | + | 0.323299i | ||||
\(999\) | −15.3686 | − | 47.1459i | −0.486241 | − | 1.49163i |
(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 | 456.2.u.d.11.16 | yes | 136 | |
3.2 | odd | 2 | inner | 456.2.u.d.11.53 | yes | 136 | |
8.3 | odd | 2 | inner | 456.2.u.d.11.7 | ✓ | 136 | |
19.7 | even | 3 | inner | 456.2.u.d.83.62 | yes | 136 | |
24.11 | even | 2 | inner | 456.2.u.d.11.62 | yes | 136 | |
57.26 | odd | 6 | inner | 456.2.u.d.83.7 | yes | 136 | |
152.83 | odd | 6 | inner | 456.2.u.d.83.53 | yes | 136 | |
456.83 | even | 6 | inner | 456.2.u.d.83.16 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.u.d.11.7 | ✓ | 136 | 8.3 | odd | 2 | inner | |
456.2.u.d.11.16 | yes | 136 | 1.1 | even | 1 | trivial | |
456.2.u.d.11.53 | yes | 136 | 3.2 | odd | 2 | inner | |
456.2.u.d.11.62 | yes | 136 | 24.11 | even | 2 | inner | |
456.2.u.d.83.7 | yes | 136 | 57.26 | odd | 6 | inner | |
456.2.u.d.83.16 | yes | 136 | 456.83 | even | 6 | inner | |
456.2.u.d.83.53 | yes | 136 | 152.83 | odd | 6 | inner | |
456.2.u.d.83.62 | yes | 136 | 19.7 | even | 3 | inner |