Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), 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: | \(1.29357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(90\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Character | \(\chi\) | \(=\) | 162.103 |
Dual form | 162.2.g.b.151.2 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.686242 | − | 0.727374i | −0.485246 | − | 0.514331i | ||||
\(3\) | 0.224505 | − | 1.71744i | 0.129618 | − | 0.991564i | ||||
\(4\) | −0.0581448 | + | 0.998308i | −0.0290724 | + | 0.499154i | ||||
\(5\) | 2.24355 | − | 0.262233i | 1.00334 | − | 0.117274i | 0.401476 | − | 0.915870i | \(-0.368497\pi\) |
0.601868 | + | 0.798595i | \(0.294423\pi\) | |||||||
\(6\) | −1.40328 | + | 1.01528i | −0.572889 | + | 0.414486i | ||||
\(7\) | 3.76235 | + | 1.88952i | 1.42203 | + | 0.714172i | 0.982881 | − | 0.184240i | \(-0.0589824\pi\) |
0.439153 | + | 0.898412i | \(0.355279\pi\) | |||||||
\(8\) | 0.766044 | − | 0.642788i | 0.270838 | − | 0.227260i | ||||
\(9\) | −2.89919 | − | 0.771149i | −0.966398 | − | 0.257050i | ||||
\(10\) | −1.73036 | − | 1.45194i | −0.547186 | − | 0.459144i | ||||
\(11\) | −1.42253 | − | 3.29779i | −0.428909 | − | 0.994323i | −0.986433 | − | 0.164162i | \(-0.947508\pi\) |
0.557524 | − | 0.830160i | \(-0.311751\pi\) | |||||||
\(12\) | 1.70148 | + | 0.323986i | 0.491175 | + | 0.0935266i | ||||
\(13\) | −4.26836 | − | 1.01162i | −1.18383 | − | 0.280573i | −0.408876 | − | 0.912590i | \(-0.634079\pi\) |
−0.774955 | + | 0.632017i | \(0.782227\pi\) | |||||||
\(14\) | −1.20749 | − | 4.03330i | −0.322716 | − | 1.07795i | ||||
\(15\) | 0.0533189 | − | 3.91203i | 0.0137669 | − | 1.01008i | ||||
\(16\) | −0.993238 | − | 0.116093i | −0.248310 | − | 0.0290232i | ||||
\(17\) | −0.241347 | + | 1.36875i | −0.0585354 | + | 0.331970i | −0.999987 | − | 0.00517869i | \(-0.998352\pi\) |
0.941451 | + | 0.337149i | \(0.109463\pi\) | |||||||
\(18\) | 1.42864 | + | 2.63799i | 0.336733 | + | 0.621781i | ||||
\(19\) | 0.883044 | + | 5.00799i | 0.202584 | + | 1.14891i | 0.901196 | + | 0.433411i | \(0.142690\pi\) |
−0.698612 | + | 0.715501i | \(0.746199\pi\) | |||||||
\(20\) | 0.131339 | + | 2.25500i | 0.0293682 | + | 0.504233i | ||||
\(21\) | 4.08981 | − | 6.03740i | 0.892469 | − | 1.31747i | ||||
\(22\) | −1.42253 | + | 3.29779i | −0.303284 | + | 0.703092i | ||||
\(23\) | −0.261895 | + | 0.131529i | −0.0546090 | + | 0.0274257i | −0.475894 | − | 0.879503i | \(-0.657875\pi\) |
0.421285 | + | 0.906928i | \(0.361579\pi\) | |||||||
\(24\) | −0.931968 | − | 1.45994i | −0.190237 | − | 0.298010i | ||||
\(25\) | 0.0995059 | − | 0.0235833i | 0.0199012 | − | 0.00471667i | ||||
\(26\) | 2.19330 | + | 3.79891i | 0.430142 | + | 0.745028i | ||||
\(27\) | −1.97529 | + | 4.80606i | −0.380144 | + | 0.924927i | ||||
\(28\) | −2.10509 | + | 3.64612i | −0.397824 | + | 0.689051i | ||||
\(29\) | 2.13741 | − | 7.13946i | 0.396908 | − | 1.32576i | −0.493161 | − | 0.869938i | \(-0.664159\pi\) |
0.890069 | − | 0.455826i | \(-0.150656\pi\) | |||||||
\(30\) | −2.88209 | + | 2.64581i | −0.526196 | + | 0.483057i | ||||
\(31\) | 6.75905 | + | 4.44550i | 1.21396 | + | 0.798435i | 0.984586 | − | 0.174902i | \(-0.0559610\pi\) |
0.229376 | + | 0.973338i | \(0.426331\pi\) | |||||||
\(32\) | 0.597159 | + | 0.802123i | 0.105564 | + | 0.141797i | ||||
\(33\) | −5.98313 | + | 1.70274i | −1.04153 | + | 0.296408i | ||||
\(34\) | 1.16121 | − | 0.763743i | 0.199147 | − | 0.130981i | ||||
\(35\) | 8.93649 | + | 3.25262i | 1.51054 | + | 0.549793i | ||||
\(36\) | 0.938417 | − | 2.84945i | 0.156403 | − | 0.474909i | ||||
\(37\) | −2.90034 | + | 1.05564i | −0.476813 | + | 0.173546i | −0.569236 | − | 0.822174i | \(-0.692761\pi\) |
0.0924230 | + | 0.995720i | \(0.470539\pi\) | |||||||
\(38\) | 3.03670 | − | 4.07900i | 0.492618 | − | 0.661700i | ||||
\(39\) | −2.69567 | + | 7.10354i | −0.431652 | + | 1.13748i | ||||
\(40\) | 1.55010 | − | 1.64301i | 0.245092 | − | 0.259782i | ||||
\(41\) | −5.07095 | + | 5.37489i | −0.791949 | + | 0.839417i | −0.990043 | − | 0.140766i | \(-0.955043\pi\) |
0.198094 | + | 0.980183i | \(0.436525\pi\) | |||||||
\(42\) | −7.19804 | + | 1.16830i | −1.11068 | + | 0.180272i | ||||
\(43\) | 1.66067 | − | 2.23066i | 0.253249 | − | 0.340173i | −0.657258 | − | 0.753666i | \(-0.728284\pi\) |
0.910507 | + | 0.413493i | \(0.135691\pi\) | |||||||
\(44\) | 3.37493 | − | 1.22837i | 0.508790 | − | 0.185184i | ||||
\(45\) | −6.70670 | − | 0.969843i | −0.999775 | − | 0.144576i | ||||
\(46\) | 0.275394 | + | 0.100235i | 0.0406046 | + | 0.0147789i | ||||
\(47\) | −0.834413 | + | 0.548802i | −0.121712 | + | 0.0800510i | −0.608905 | − | 0.793243i | \(-0.708391\pi\) |
0.487194 | + | 0.873294i | \(0.338021\pi\) | |||||||
\(48\) | −0.422370 | + | 1.67976i | −0.0609638 | + | 0.242453i | ||||
\(49\) | 6.40486 | + | 8.60322i | 0.914980 | + | 1.22903i | ||||
\(50\) | −0.0854390 | − | 0.0561941i | −0.0120829 | − | 0.00794705i | ||||
\(51\) | 2.29656 | + | 0.721791i | 0.321583 | + | 0.101071i | ||||
\(52\) | 1.25809 | − | 4.20232i | 0.174466 | − | 0.582757i | ||||
\(53\) | −5.96257 | + | 10.3275i | −0.819022 | + | 1.41859i | 0.0873808 | + | 0.996175i | \(0.472150\pi\) |
−0.906403 | + | 0.422413i | \(0.861183\pi\) | |||||||
\(54\) | 4.85133 | − | 1.86135i | 0.660182 | − | 0.253298i | ||||
\(55\) | −4.05630 | − | 7.02572i | −0.546951 | − | 0.947348i | ||||
\(56\) | 4.09669 | − | 0.970933i | 0.547443 | − | 0.129746i | ||||
\(57\) | 8.79917 | − | 0.392254i | 1.16548 | − | 0.0519553i | ||||
\(58\) | −6.65983 | + | 3.34469i | −0.874479 | + | 0.439180i | ||||
\(59\) | −3.66592 | + | 8.49856i | −0.477262 | + | 1.10642i | 0.494226 | + | 0.869333i | \(0.335451\pi\) |
−0.971489 | + | 0.237085i | \(0.923808\pi\) | |||||||
\(60\) | 3.90231 | + | 0.280693i | 0.503786 | + | 0.0362373i | ||||
\(61\) | −0.863013 | − | 14.8174i | −0.110498 | − | 1.89717i | −0.366386 | − | 0.930463i | \(-0.619405\pi\) |
0.255888 | − | 0.966706i | \(-0.417632\pi\) | |||||||
\(62\) | −1.40481 | − | 7.96705i | −0.178410 | − | 1.01182i | ||||
\(63\) | −9.45068 | − | 8.37942i | −1.19067 | − | 1.05571i | ||||
\(64\) | 0.173648 | − | 0.984808i | 0.0217060 | − | 0.123101i | ||||
\(65\) | −9.84155 | − | 1.15031i | −1.22069 | − | 0.142679i | ||||
\(66\) | 5.34440 | + | 3.18348i | 0.657850 | + | 0.391859i | ||||
\(67\) | −1.60063 | − | 5.34648i | −0.195548 | − | 0.653177i | −0.998376 | − | 0.0569657i | \(-0.981857\pi\) |
0.802828 | − | 0.596211i | \(-0.203328\pi\) | |||||||
\(68\) | −1.35240 | − | 0.320525i | −0.164003 | − | 0.0388693i | ||||
\(69\) | 0.167096 | + | 0.479318i | 0.0201160 | + | 0.0577031i | ||||
\(70\) | −3.76673 | − | 8.73225i | −0.450210 | − | 1.04370i | ||||
\(71\) | 4.88985 | + | 4.10307i | 0.580319 | + | 0.486945i | 0.885052 | − | 0.465493i | \(-0.154123\pi\) |
−0.304733 | + | 0.952438i | \(0.598567\pi\) | |||||||
\(72\) | −2.71660 | + | 1.27283i | −0.320154 | + | 0.150005i | ||||
\(73\) | 4.66440 | − | 3.91389i | 0.545926 | − | 0.458087i | −0.327632 | − | 0.944805i | \(-0.606251\pi\) |
0.873559 | + | 0.486719i | \(0.161806\pi\) | |||||||
\(74\) | 2.75818 | + | 1.38521i | 0.320632 | + | 0.161027i | ||||
\(75\) | −0.0181633 | − | 0.176190i | −0.00209732 | − | 0.0203447i | ||||
\(76\) | −5.05086 | + | 0.590361i | −0.579374 | + | 0.0677191i | ||||
\(77\) | 0.879204 | − | 15.0954i | 0.100195 | − | 1.72028i | ||||
\(78\) | 7.01681 | − | 2.91399i | 0.794497 | − | 0.329944i | ||||
\(79\) | 8.31655 | + | 8.81503i | 0.935685 | + | 0.991768i | 0.999981 | − | 0.00616298i | \(-0.00196175\pi\) |
−0.0642963 | + | 0.997931i | \(0.520480\pi\) | |||||||
\(80\) | −2.25882 | −0.252544 | ||||||||
\(81\) | 7.81066 | + | 4.47142i | 0.867851 | + | 0.496824i | ||||
\(82\) | 7.38945 | 0.816028 | ||||||||
\(83\) | 2.12671 | + | 2.25418i | 0.233436 | + | 0.247428i | 0.833494 | − | 0.552529i | \(-0.186337\pi\) |
−0.600057 | + | 0.799957i | \(0.704856\pi\) | |||||||
\(84\) | 5.78938 | + | 4.43393i | 0.631673 | + | 0.483781i | ||||
\(85\) | −0.182543 | + | 3.13414i | −0.0197996 | + | 0.339945i | ||||
\(86\) | −2.76214 | + | 0.322848i | −0.297850 | + | 0.0348136i | ||||
\(87\) | −11.7817 | − | 5.27372i | −1.26313 | − | 0.565402i | ||||
\(88\) | −3.20950 | − | 1.61187i | −0.342134 | − | 0.171826i | ||||
\(89\) | −0.706078 | + | 0.592470i | −0.0748441 | + | 0.0628017i | −0.679442 | − | 0.733729i | \(-0.737778\pi\) |
0.604598 | + | 0.796531i | \(0.293334\pi\) | |||||||
\(90\) | 3.89698 | + | 5.54382i | 0.410777 | + | 0.584370i | ||||
\(91\) | −14.1476 | − | 11.8712i | −1.48307 | − | 1.24444i | ||||
\(92\) | −0.116078 | − | 0.269100i | −0.0121020 | − | 0.0280556i | ||||
\(93\) | 9.15232 | − | 10.6102i | 0.949051 | − | 1.10023i | ||||
\(94\) | 0.971793 | + | 0.230319i | 0.100233 | + | 0.0237556i | ||||
\(95\) | 3.29441 | + | 11.0041i | 0.337999 | + | 1.12900i | ||||
\(96\) | 1.51166 | − | 0.845503i | 0.154283 | − | 0.0862938i | ||||
\(97\) | 1.85410 | + | 0.216713i | 0.188256 | + | 0.0220039i | 0.209698 | − | 0.977766i | \(-0.432752\pi\) |
−0.0214426 | + | 0.999770i | \(0.506826\pi\) | |||||||
\(98\) | 1.86247 | − | 10.5626i | 0.188138 | − | 1.06698i | ||||
\(99\) | 1.58110 | + | 10.6579i | 0.158907 | + | 1.07116i | ||||
\(100\) | 0.0177577 | + | 0.100709i | 0.00177577 | + | 0.0100709i | ||||
\(101\) | −0.417028 | − | 7.16010i | −0.0414959 | − | 0.712457i | −0.953336 | − | 0.301911i | \(-0.902375\pi\) |
0.911840 | − | 0.410545i | \(-0.134662\pi\) | |||||||
\(102\) | −1.05098 | − | 2.16578i | −0.104063 | − | 0.214444i | ||||
\(103\) | 2.16352 | − | 5.01560i | 0.213178 | − | 0.494202i | −0.777754 | − | 0.628569i | \(-0.783641\pi\) |
0.990932 | + | 0.134367i | \(0.0429002\pi\) | |||||||
\(104\) | −3.92001 | + | 1.96870i | −0.384389 | + | 0.193047i | ||||
\(105\) | 7.59246 | − | 14.6177i | 0.740949 | − | 1.42654i | ||||
\(106\) | 11.6037 | − | 2.75013i | 1.12705 | − | 0.267116i | ||||
\(107\) | −6.91374 | − | 11.9750i | −0.668377 | − | 1.15766i | −0.978358 | − | 0.206920i | \(-0.933656\pi\) |
0.309981 | − | 0.950743i | \(-0.399677\pi\) | |||||||
\(108\) | −4.68308 | − | 2.25139i | −0.450630 | − | 0.216640i | ||||
\(109\) | −8.52071 | + | 14.7583i | −0.816136 | + | 1.41359i | 0.0923739 | + | 0.995724i | \(0.470554\pi\) |
−0.908510 | + | 0.417864i | \(0.862779\pi\) | |||||||
\(110\) | −2.32672 | + | 7.77179i | −0.221844 | + | 0.741011i | ||||
\(111\) | 1.16185 | + | 5.21816i | 0.110278 | + | 0.495285i | ||||
\(112\) | −3.51755 | − | 2.31353i | −0.332377 | − | 0.218608i | ||||
\(113\) | −5.25309 | − | 7.05612i | −0.494169 | − | 0.663784i | 0.483155 | − | 0.875535i | \(-0.339491\pi\) |
−0.977324 | + | 0.211751i | \(0.932084\pi\) | |||||||
\(114\) | −6.32367 | − | 6.13110i | −0.592266 | − | 0.574230i | ||||
\(115\) | −0.553083 | + | 0.363768i | −0.0515753 | + | 0.0339216i | ||||
\(116\) | 7.00310 | + | 2.54892i | 0.650221 | + | 0.236661i | ||||
\(117\) | 11.5947 | + | 6.22443i | 1.07193 | + | 0.575448i | ||||
\(118\) | 8.69734 | − | 3.16557i | 0.800655 | − | 0.291415i | ||||
\(119\) | −3.49432 | + | 4.69368i | −0.320323 | + | 0.430269i | ||||
\(120\) | −2.47376 | − | 3.03106i | −0.225822 | − | 0.276696i | ||||
\(121\) | −1.30320 | + | 1.38131i | −0.118473 | + | 0.125574i | ||||
\(122\) | −10.1855 | + | 10.7960i | −0.922154 | + | 0.977426i | ||||
\(123\) | 8.09259 | + | 9.91573i | 0.729684 | + | 0.894071i | ||||
\(124\) | −4.83098 | + | 6.48914i | −0.433835 | + | 0.582742i | ||||
\(125\) | −10.3959 | + | 3.78380i | −0.929839 | + | 0.338434i | ||||
\(126\) | 0.390478 | + | 12.6245i | 0.0347865 | + | 1.12468i | ||||
\(127\) | −19.3394 | − | 7.03896i | −1.71609 | − | 0.624607i | −0.718603 | − | 0.695420i | \(-0.755218\pi\) |
−0.997490 | + | 0.0708135i | \(0.977440\pi\) | |||||||
\(128\) | −0.835488 | + | 0.549509i | −0.0738474 | + | 0.0485702i | ||||
\(129\) | −3.45820 | − | 3.35289i | −0.304477 | − | 0.295206i | ||||
\(130\) | 5.91697 | + | 7.94787i | 0.518953 | + | 0.697075i | ||||
\(131\) | 4.90387 | + | 3.22533i | 0.428453 | + | 0.281798i | 0.745365 | − | 0.666657i | \(-0.232275\pi\) |
−0.316912 | + | 0.948455i | \(0.602646\pi\) | |||||||
\(132\) | −1.35197 | − | 6.07201i | −0.117674 | − | 0.528501i | ||||
\(133\) | −6.14039 | + | 20.5103i | −0.532440 | + | 1.77847i | ||||
\(134\) | −2.79047 | + | 4.83323i | −0.241060 | + | 0.417528i | ||||
\(135\) | −3.17133 | + | 11.3006i | −0.272945 | + | 0.972601i | ||||
\(136\) | 0.694932 | + | 1.20366i | 0.0595900 | + | 0.103213i | ||||
\(137\) | −2.87536 | + | 0.681474i | −0.245659 | + | 0.0582222i | −0.351601 | − | 0.936150i | \(-0.614362\pi\) |
0.105942 | + | 0.994372i | \(0.466214\pi\) | |||||||
\(138\) | 0.233975 | − | 0.450469i | 0.0199173 | − | 0.0383465i | ||||
\(139\) | 13.7117 | − | 6.88629i | 1.16301 | − | 0.584088i | 0.240727 | − | 0.970593i | \(-0.422614\pi\) |
0.922287 | + | 0.386505i | \(0.126318\pi\) | |||||||
\(140\) | −3.76673 | + | 8.73225i | −0.318346 | + | 0.738010i | ||||
\(141\) | 0.755204 | + | 1.55626i | 0.0635996 | + | 0.131061i | ||||
\(142\) | −0.371153 | − | 6.37245i | −0.0311465 | − | 0.534764i | ||||
\(143\) | 2.73576 | + | 15.5152i | 0.228775 | + | 1.29745i | ||||
\(144\) | 2.79007 | + | 1.10251i | 0.232506 | + | 0.0918759i | ||||
\(145\) | 2.92318 | − | 16.5782i | 0.242757 | − | 1.37674i | ||||
\(146\) | −6.04777 | − | 0.706882i | −0.500517 | − | 0.0585020i | ||||
\(147\) | 16.2134 | − | 9.06849i | 1.33726 | − | 0.747956i | ||||
\(148\) | −0.885212 | − | 2.95681i | −0.0727640 | − | 0.243049i | ||||
\(149\) | 13.2332 | + | 3.13632i | 1.08410 | + | 0.256937i | 0.733570 | − | 0.679614i | \(-0.237853\pi\) |
0.350532 | + | 0.936551i | \(0.386001\pi\) | |||||||
\(150\) | −0.115691 | + | 0.134120i | −0.00944617 | + | 0.0109509i | ||||
\(151\) | −1.72891 | − | 4.00806i | −0.140697 | − | 0.326172i | 0.833269 | − | 0.552868i | \(-0.186467\pi\) |
−0.973965 | + | 0.226697i | \(0.927207\pi\) | |||||||
\(152\) | 3.89553 | + | 3.26873i | 0.315969 | + | 0.265129i | ||||
\(153\) | 1.75522 | − | 3.78216i | 0.141901 | − | 0.305769i | ||||
\(154\) | −11.5833 | + | 9.71955i | −0.933410 | + | 0.783224i | ||||
\(155\) | 16.3300 | + | 8.20124i | 1.31166 | + | 0.658739i | ||||
\(156\) | −6.93478 | − | 3.10414i | −0.555227 | − | 0.248530i | ||||
\(157\) | 1.90125 | − | 0.222225i | 0.151736 | − | 0.0177355i | −0.0398855 | − | 0.999204i | \(-0.512699\pi\) |
0.191622 | + | 0.981469i | \(0.438625\pi\) | |||||||
\(158\) | 0.704656 | − | 12.0985i | 0.0560594 | − | 0.962503i | ||||
\(159\) | 16.3982 | + | 12.5589i | 1.30046 | + | 0.995988i | ||||
\(160\) | 1.55010 | + | 1.64301i | 0.122546 | + | 0.129891i | ||||
\(161\) | −1.23387 | −0.0972424 | ||||||||
\(162\) | −2.10761 | − | 8.74974i | −0.165589 | − | 0.687445i | ||||
\(163\) | 10.0794 | 0.789479 | 0.394739 | − | 0.918793i | \(-0.370835\pi\) | ||||
0.394739 | + | 0.918793i | \(0.370835\pi\) | |||||||
\(164\) | −5.07095 | − | 5.37489i | −0.395974 | − | 0.419708i | ||||
\(165\) | −12.9769 | + | 5.38914i | −1.01025 | + | 0.419544i | ||||
\(166\) | 0.180195 | − | 3.09382i | 0.0139858 | − | 0.240127i | ||||
\(167\) | −16.2485 | + | 1.89918i | −1.25735 | + | 0.146963i | −0.718552 | − | 0.695474i | \(-0.755195\pi\) |
−0.538796 | + | 0.842436i | \(0.681121\pi\) | |||||||
\(168\) | −0.747790 | − | 7.25379i | −0.0576932 | − | 0.559642i | ||||
\(169\) | 5.57832 | + | 2.80154i | 0.429101 | + | 0.215503i | ||||
\(170\) | 2.40496 | − | 2.01800i | 0.184452 | − | 0.154774i | ||||
\(171\) | 1.30179 | − | 15.2001i | 0.0995503 | − | 1.16238i | ||||
\(172\) | 2.13033 | + | 1.78756i | 0.162436 | + | 0.136300i | ||||
\(173\) | −8.48647 | − | 19.6739i | −0.645214 | − | 1.49578i | −0.855322 | − | 0.518097i | \(-0.826641\pi\) |
0.210107 | − | 0.977678i | \(-0.432619\pi\) | |||||||
\(174\) | 4.24914 | + | 12.1888i | 0.322127 | + | 0.924028i | ||||
\(175\) | 0.418937 | + | 0.0992899i | 0.0316687 | + | 0.00750561i | ||||
\(176\) | 1.03006 | + | 3.44064i | 0.0776437 | + | 0.259348i | ||||
\(177\) | 13.7727 | + | 8.20397i | 1.03522 | + | 0.616648i | ||||
\(178\) | 0.915487 | + | 0.107005i | 0.0686187 | + | 0.00802037i | ||||
\(179\) | 1.49127 | − | 8.45738i | 0.111462 | − | 0.632135i | −0.876979 | − | 0.480529i | \(-0.840445\pi\) |
0.988441 | − | 0.151605i | \(-0.0484443\pi\) | |||||||
\(180\) | 1.35816 | − | 6.63896i | 0.101231 | − | 0.494839i | ||||
\(181\) | −0.0323020 | − | 0.183193i | −0.00240099 | − | 0.0136167i | 0.983584 | − | 0.180452i | \(-0.0577562\pi\) |
−0.985985 | + | 0.166836i | \(0.946645\pi\) | |||||||
\(182\) | 1.07384 | + | 18.4371i | 0.0795983 | + | 1.36665i | ||||
\(183\) | −25.6417 | − | 1.84440i | −1.89549 | − | 0.136342i | ||||
\(184\) | −0.116078 | + | 0.269100i | −0.00855741 | + | 0.0198383i | ||||
\(185\) | −6.23022 | + | 3.12894i | −0.458055 | + | 0.230044i | ||||
\(186\) | −13.9983 | + | 0.624023i | −1.02641 | + | 0.0457556i | ||||
\(187\) | 4.85718 | − | 1.15117i | 0.355192 | − | 0.0841821i | ||||
\(188\) | −0.499357 | − | 0.864911i | −0.0364193 | − | 0.0630801i | ||||
\(189\) | −16.5129 | + | 14.3497i | −1.20113 | + | 1.04379i | ||||
\(190\) | 5.74333 | − | 9.94773i | 0.416665 | − | 0.721685i | ||||
\(191\) | 2.10629 | − | 7.03551i | 0.152406 | − | 0.509072i | −0.847353 | − | 0.531030i | \(-0.821805\pi\) |
0.999759 | + | 0.0219585i | \(0.00699017\pi\) | |||||||
\(192\) | −1.65236 | − | 0.519325i | −0.119249 | − | 0.0374790i | ||||
\(193\) | −0.408383 | − | 0.268598i | −0.0293961 | − | 0.0193341i | 0.534726 | − | 0.845026i | \(-0.320415\pi\) |
−0.564122 | + | 0.825691i | \(0.690785\pi\) | |||||||
\(194\) | −1.11473 | − | 1.49734i | −0.0800330 | − | 0.107503i | ||||
\(195\) | −4.18507 | + | 16.6440i | −0.299699 | + | 1.19190i | ||||
\(196\) | −8.96107 | + | 5.89379i | −0.640076 | + | 0.420985i | ||||
\(197\) | 7.84299 | + | 2.85462i | 0.558790 | + | 0.203383i | 0.605948 | − | 0.795505i | \(-0.292794\pi\) |
−0.0471576 | + | 0.998887i | \(0.515016\pi\) | |||||||
\(198\) | 6.66728 | − | 8.46397i | 0.473823 | − | 0.601508i | ||||
\(199\) | −6.56743 | + | 2.39035i | −0.465553 | + | 0.169447i | −0.564137 | − | 0.825681i | \(-0.690791\pi\) |
0.0985841 | + | 0.995129i | \(0.468569\pi\) | |||||||
\(200\) | 0.0610669 | − | 0.0820270i | 0.00431808 | − | 0.00580019i | ||||
\(201\) | −9.54161 | + | 1.54867i | −0.673013 | + | 0.109235i | ||||
\(202\) | −4.92189 | + | 5.21690i | −0.346303 | + | 0.367060i | ||||
\(203\) | 21.5318 | − | 22.8224i | 1.51124 | − | 1.60182i | ||||
\(204\) | −0.854103 | + | 2.25071i | −0.0597992 | + | 0.157581i | ||||
\(205\) | −9.96743 | + | 13.3886i | −0.696155 | + | 0.935099i | ||||
\(206\) | −5.13291 | + | 1.86823i | −0.357627 | + | 0.130166i | ||||
\(207\) | 0.860714 | − | 0.179367i | 0.0598238 | − | 0.0124669i | ||||
\(208\) | 4.12206 | + | 1.50031i | 0.285813 | + | 0.104028i | ||||
\(209\) | 15.2592 | − | 10.0361i | 1.05550 | − | 0.694213i | ||||
\(210\) | −15.8428 | + | 4.50869i | −1.09325 | + | 0.311129i | ||||
\(211\) | −3.48773 | − | 4.68484i | −0.240105 | − | 0.322518i | 0.665694 | − | 0.746225i | \(-0.268136\pi\) |
−0.905799 | + | 0.423708i | \(0.860728\pi\) | |||||||
\(212\) | −9.96331 | − | 6.55298i | −0.684283 | − | 0.450060i | ||||
\(213\) | 8.14458 | − | 7.47686i | 0.558057 | − | 0.512306i | ||||
\(214\) | −3.96577 | + | 13.2466i | −0.271094 | + | 0.905518i | ||||
\(215\) | 3.14083 | − | 5.44008i | 0.214203 | − | 0.371010i | ||||
\(216\) | 1.57612 | + | 4.95135i | 0.107242 | + | 0.336897i | ||||
\(217\) | 17.0300 | + | 29.4969i | 1.15607 | + | 2.00238i | ||||
\(218\) | 16.5821 | − | 3.93002i | 1.12308 | − | 0.266175i | ||||
\(219\) | −5.67469 | − | 8.88951i | −0.383460 | − | 0.600697i | ||||
\(220\) | 7.24969 | − | 3.64093i | 0.488774 | − | 0.245471i | ||||
\(221\) | 2.41481 | − | 5.59817i | 0.162438 | − | 0.376573i | ||||
\(222\) | 2.99824 | − | 4.42602i | 0.201229 | − | 0.297055i | ||||
\(223\) | −0.622088 | − | 10.6808i | −0.0416581 | − | 0.715242i | −0.952884 | − | 0.303335i | \(-0.901900\pi\) |
0.911226 | − | 0.411907i | \(-0.135137\pi\) | |||||||
\(224\) | 0.731089 | + | 4.14621i | 0.0488479 | + | 0.277030i | ||||
\(225\) | −0.306673 | − | 0.00836116i | −0.0204449 | − | 0.000557410i | ||||
\(226\) | −1.52755 | + | 8.66317i | −0.101611 | + | 0.576265i | ||||
\(227\) | −3.82548 | − | 0.447134i | −0.253906 | − | 0.0296773i | −0.0118122 | − | 0.999930i | \(-0.503760\pi\) |
−0.242094 | + | 0.970253i | \(0.577834\pi\) | |||||||
\(228\) | −0.120036 | + | 8.80709i | −0.00794959 | + | 0.583264i | ||||
\(229\) | −4.10527 | − | 13.7126i | −0.271284 | − | 0.906151i | −0.979719 | − | 0.200375i | \(-0.935784\pi\) |
0.708435 | − | 0.705776i | \(-0.249401\pi\) | |||||||
\(230\) | 0.644144 | + | 0.152665i | 0.0424736 | + | 0.0100664i | ||||
\(231\) | −25.7280 | − | 4.89897i | −1.69278 | − | 0.322328i | ||||
\(232\) | −2.95180 | − | 6.84304i | −0.193795 | − | 0.449268i | ||||
\(233\) | −13.0394 | − | 10.9414i | −0.854241 | − | 0.716793i | 0.106478 | − | 0.994315i | \(-0.466043\pi\) |
−0.960719 | + | 0.277522i | \(0.910487\pi\) | |||||||
\(234\) | −3.42929 | − | 12.7051i | −0.224179 | − | 0.830561i | ||||
\(235\) | −1.72813 | + | 1.45007i | −0.112731 | + | 0.0945923i | ||||
\(236\) | −8.27103 | − | 4.15387i | −0.538398 | − | 0.270394i | ||||
\(237\) | 17.0064 | − | 12.3041i | 1.10468 | − | 0.799240i | ||||
\(238\) | 5.81200 | − | 0.679326i | 0.376736 | − | 0.0440342i | ||||
\(239\) | 0.489375 | − | 8.40225i | 0.0316551 | − | 0.543496i | −0.944783 | − | 0.327697i | \(-0.893727\pi\) |
0.976438 | − | 0.215799i | \(-0.0692356\pi\) | |||||||
\(240\) | −0.507117 | + | 3.87938i | −0.0327343 | + | 0.250413i | ||||
\(241\) | −9.97509 | − | 10.5730i | −0.642552 | − | 0.681065i | 0.321460 | − | 0.946923i | \(-0.395826\pi\) |
−0.964012 | + | 0.265858i | \(0.914345\pi\) | |||||||
\(242\) | 1.89904 | 0.122075 | ||||||||
\(243\) | 9.43293 | − | 12.4105i | 0.605122 | − | 0.796132i | ||||
\(244\) | 14.8425 | 0.950192 | ||||||||
\(245\) | 16.6256 | + | 17.6221i | 1.06217 | + | 1.12584i | ||||
\(246\) | 1.65897 | − | 12.6909i | 0.105772 | − | 0.809144i | ||||
\(247\) | 1.29703 | − | 22.2692i | 0.0825284 | − | 1.41696i | ||||
\(248\) | 8.03525 | − | 0.939186i | 0.510239 | − | 0.0596384i | ||||
\(249\) | 4.34887 | − | 3.14641i | 0.275598 | − | 0.199396i | ||||
\(250\) | 9.88635 | + | 4.96511i | 0.625268 | + | 0.314021i | ||||
\(251\) | 22.1883 | − | 18.6182i | 1.40052 | − | 1.17517i | 0.439647 | − | 0.898171i | \(-0.355104\pi\) |
0.960869 | − | 0.277002i | \(-0.0893408\pi\) | |||||||
\(252\) | 8.91475 | − | 8.94747i | 0.561577 | − | 0.563637i | ||||
\(253\) | 0.806309 | + | 0.676574i | 0.0506922 | + | 0.0425358i | ||||
\(254\) | 8.15154 | + | 18.8974i | 0.511473 | + | 1.18573i | ||||
\(255\) | 5.34171 | + | 1.01714i | 0.334511 | + | 0.0636956i | ||||
\(256\) | 0.973045 | + | 0.230616i | 0.0608153 | + | 0.0144135i | ||||
\(257\) | 4.68564 | + | 15.6511i | 0.292282 | + | 0.976290i | 0.970434 | + | 0.241368i | \(0.0775960\pi\) |
−0.678152 | + | 0.734922i | \(0.737219\pi\) | |||||||
\(258\) | −0.0656437 | + | 4.81630i | −0.00408680 | + | 0.299849i | ||||
\(259\) | −12.9067 | − | 1.50858i | −0.801986 | − | 0.0937387i | ||||
\(260\) | 1.72060 | − | 9.75801i | 0.106707 | − | 0.605166i | ||||
\(261\) | −11.7024 | + | 19.0504i | −0.724358 | + | 1.17919i | ||||
\(262\) | −1.01922 | − | 5.78030i | −0.0629678 | − | 0.357108i | ||||
\(263\) | 0.882761 | + | 15.1564i | 0.0544333 | + | 0.934584i | 0.909406 | + | 0.415911i | \(0.136537\pi\) |
−0.854972 | + | 0.518674i | \(0.826426\pi\) | |||||||
\(264\) | −3.48884 | + | 5.15025i | −0.214724 | + | 0.316976i | ||||
\(265\) | −10.6691 | + | 24.7338i | −0.655398 | + | 1.51938i | ||||
\(266\) | 19.1325 | − | 9.60869i | 1.17309 | − | 0.589147i | ||||
\(267\) | 0.859013 | + | 1.34566i | 0.0525707 | + | 0.0823530i | ||||
\(268\) | 5.43050 | − | 1.28705i | 0.331721 | − | 0.0786193i | ||||
\(269\) | 4.66091 | + | 8.07293i | 0.284181 | + | 0.492215i | 0.972410 | − | 0.233278i | \(-0.0749451\pi\) |
−0.688229 | + | 0.725493i | \(0.741612\pi\) | |||||||
\(270\) | 10.3961 | − | 5.44820i | 0.632684 | − | 0.331567i | ||||
\(271\) | 8.84975 | − | 15.3282i | 0.537584 | − | 0.931123i | −0.461449 | − | 0.887167i | \(-0.652670\pi\) |
0.999033 | − | 0.0439566i | \(-0.0139963\pi\) | |||||||
\(272\) | 0.398618 | − | 1.33148i | 0.0241697 | − | 0.0807326i | ||||
\(273\) | −23.5643 | + | 21.6325i | −1.42618 | + | 1.30926i | ||||
\(274\) | 2.46888 | + | 1.62381i | 0.149150 | + | 0.0980978i | ||||
\(275\) | −0.219323 | − | 0.294602i | −0.0132257 | − | 0.0177652i | ||||
\(276\) | −0.488223 | + | 0.138943i | −0.0293876 | + | 0.00836340i | ||||
\(277\) | −15.4213 | + | 10.1427i | −0.926576 | + | 0.609419i | −0.920576 | − | 0.390563i | \(-0.872280\pi\) |
−0.00600004 | + | 0.999982i | \(0.501910\pi\) | |||||||
\(278\) | −14.4185 | − | 5.24789i | −0.864762 | − | 0.314748i | ||||
\(279\) | −16.1677 | − | 18.1006i | −0.967933 | − | 1.08365i | ||||
\(280\) | 8.93649 | − | 3.25262i | 0.534058 | − | 0.194381i | ||||
\(281\) | 0.416337 | − | 0.559238i | 0.0248366 | − | 0.0333614i | −0.789531 | − | 0.613710i | \(-0.789676\pi\) |
0.814368 | + | 0.580349i | \(0.197084\pi\) | |||||||
\(282\) | 0.613732 | − | 1.61729i | 0.0365472 | − | 0.0963081i | ||||
\(283\) | −8.93228 | + | 9.46767i | −0.530969 | + | 0.562794i | −0.936221 | − | 0.351411i | \(-0.885702\pi\) |
0.405252 | + | 0.914205i | \(0.367184\pi\) | |||||||
\(284\) | −4.38045 | + | 4.64301i | −0.259932 | + | 0.275512i | ||||
\(285\) | 19.6385 | − | 3.18747i | 1.16328 | − | 0.188809i | ||||
\(286\) | 9.40799 | − | 12.6371i | 0.556306 | − | 0.747249i | ||||
\(287\) | −29.2346 | + | 10.6405i | −1.72567 | + | 0.628091i | ||||
\(288\) | −1.11272 | − | 2.78601i | −0.0655678 | − | 0.164167i | ||||
\(289\) | 14.1595 | + | 5.15365i | 0.832915 | + | 0.303156i | ||||
\(290\) | −14.0646 | + | 9.25040i | −0.825899 | + | 0.543202i | ||||
\(291\) | 0.788448 | − | 3.13565i | 0.0462196 | − | 0.183815i | ||||
\(292\) | 3.63606 | + | 4.88408i | 0.212784 | + | 0.285819i | ||||
\(293\) | 24.9319 | + | 16.3980i | 1.45654 | + | 0.957980i | 0.997580 | + | 0.0695225i | \(0.0221476\pi\) |
0.458958 | + | 0.888458i | \(0.348223\pi\) | |||||||
\(294\) | −17.7225 | − | 5.57005i | −1.03360 | − | 0.324852i | ||||
\(295\) | −5.99606 | + | 20.0282i | −0.349104 | + | 1.16609i | ||||
\(296\) | −1.54324 | + | 2.67297i | −0.0896990 | + | 0.155363i | ||||
\(297\) | 18.6593 | − | 0.322683i | 1.08272 | − | 0.0187240i | ||||
\(298\) | −6.79987 | − | 11.7777i | −0.393906 | − | 0.682265i | ||||
\(299\) | 1.25092 | − | 0.296474i | 0.0723427 | − | 0.0171455i | ||||
\(300\) | 0.176948 | − | 0.00788807i | 0.0102161 | − | 0.000455418i | ||||
\(301\) | 10.4629 | − | 5.25466i | 0.603071 | − | 0.302874i | ||||
\(302\) | −1.72891 | + | 4.00806i | −0.0994876 | + | 0.230638i | ||||
\(303\) | −12.3907 | − | 0.891260i | −0.711825 | − | 0.0512016i | ||||
\(304\) | −0.295681 | − | 5.07665i | −0.0169585 | − | 0.291166i | ||||
\(305\) | −5.82181 | − | 33.0171i | −0.333356 | − | 1.89055i | ||||
\(306\) | −3.95555 | + | 1.31877i | −0.226124 | + | 0.0753891i | ||||
\(307\) | 1.01743 | − | 5.77016i | 0.0580680 | − | 0.329320i | −0.941911 | − | 0.335864i | \(-0.890972\pi\) |
0.999979 | + | 0.00654360i | \(0.00208291\pi\) | |||||||
\(308\) | 15.0187 | + | 1.75543i | 0.855769 | + | 0.100025i | ||||
\(309\) | −8.12827 | − | 4.84174i | −0.462401 | − | 0.275437i | ||||
\(310\) | −5.24096 | − | 17.5060i | −0.297667 | − | 0.994276i | ||||
\(311\) | 6.95655 | + | 1.64873i | 0.394470 | + | 0.0934910i | 0.423063 | − | 0.906100i | \(-0.360955\pi\) |
−0.0285938 | + | 0.999591i | \(0.509103\pi\) | |||||||
\(312\) | 2.50107 | + | 7.17437i | 0.141595 | + | 0.406169i | ||||
\(313\) | 4.96810 | + | 11.5173i | 0.280813 | + | 0.650999i | 0.998993 | − | 0.0448588i | \(-0.0142838\pi\) |
−0.718180 | + | 0.695857i | \(0.755025\pi\) | |||||||
\(314\) | −1.46636 | − | 1.23042i | −0.0827514 | − | 0.0694367i | ||||
\(315\) | −23.4004 | − | 16.3213i | −1.31846 | − | 0.919603i | ||||
\(316\) | −9.28368 | + | 7.78993i | −0.522248 | + | 0.438218i | ||||
\(317\) | −13.9405 | − | 7.00116i | −0.782974 | − | 0.393224i | 0.0119537 | − | 0.999929i | \(-0.496195\pi\) |
−0.794928 | + | 0.606704i | \(0.792491\pi\) | |||||||
\(318\) | −2.11808 | − | 20.5461i | −0.118776 | − | 1.15217i | ||||
\(319\) | −26.5850 | + | 3.10734i | −1.48847 | + | 0.173978i | ||||
\(320\) | 0.131339 | − | 2.25500i | 0.00734205 | − | 0.126058i | ||||
\(321\) | −22.1184 | + | 9.18549i | −1.23453 | + | 0.512684i | ||||
\(322\) | 0.846732 | + | 0.897483i | 0.0471865 | + | 0.0500148i | ||||
\(323\) | −7.06781 | −0.393263 | ||||||||
\(324\) | −4.91800 | + | 7.53746i | −0.273222 | + | 0.418748i | ||||
\(325\) | −0.448585 | −0.0248830 | ||||||||
\(326\) | −6.91690 | − | 7.33148i | −0.383092 | − | 0.406053i | ||||
\(327\) | 23.4335 | + | 17.9471i | 1.29588 | + | 0.992478i | ||||
\(328\) | −0.429658 | + | 7.37694i | −0.0237239 | + | 0.407324i | ||||
\(329\) | −4.17633 | + | 0.488142i | −0.230248 | + | 0.0269122i | ||||
\(330\) | 12.8252 | + | 5.74081i | 0.706005 | + | 0.316021i | ||||
\(331\) | 30.0560 | + | 15.0947i | 1.65203 | + | 0.829680i | 0.997270 | + | 0.0738429i | \(0.0235263\pi\) |
0.654759 | + | 0.755837i | \(0.272770\pi\) | |||||||
\(332\) | −2.37402 | + | 1.99204i | −0.130291 | + | 0.109327i | ||||
\(333\) | 9.22271 | − | 0.823906i | 0.505401 | − | 0.0451498i | ||||
\(334\) | 12.5318 | + | 10.5154i | 0.685711 | + | 0.575379i | ||||
\(335\) | −4.99311 | − | 11.5753i | −0.272803 | − | 0.632428i | ||||
\(336\) | −4.76305 | + | 5.52178i | −0.259846 | + | 0.301238i | ||||
\(337\) | −9.34707 | − | 2.21530i | −0.509168 | − | 0.120675i | −0.0320011 | − | 0.999488i | \(-0.510188\pi\) |
−0.477167 | + | 0.878813i | \(0.658336\pi\) | |||||||
\(338\) | −1.79031 | − | 5.98005i | −0.0973800 | − | 0.325272i | ||||
\(339\) | −13.2978 | + | 7.43773i | −0.722238 | + | 0.403962i | ||||
\(340\) | −3.11822 | − | 0.364468i | −0.169109 | − | 0.0197661i | ||||
\(341\) | 5.04539 | − | 28.6138i | 0.273223 | − | 1.54953i | ||||
\(342\) | −11.9495 | + | 9.48406i | −0.646155 | + | 0.512839i | ||||
\(343\) | 2.72371 | + | 15.4469i | 0.147067 | + | 0.834056i | ||||
\(344\) | −0.161698 | − | 2.77624i | −0.00871816 | − | 0.149685i | ||||
\(345\) | 0.500580 | + | 1.03155i | 0.0269503 | + | 0.0555370i | ||||
\(346\) | −8.48647 | + | 19.6739i | −0.456236 | + | 1.05767i | ||||
\(347\) | 2.62462 | − | 1.31813i | 0.140897 | − | 0.0707610i | −0.376954 | − | 0.926232i | \(-0.623029\pi\) |
0.517851 | + | 0.855471i | \(0.326732\pi\) | |||||||
\(348\) | 5.94985 | − | 11.4551i | 0.318945 | − | 0.614060i | ||||
\(349\) | 0.0832690 | − | 0.0197351i | 0.00445728 | − | 0.00105640i | −0.228387 | − | 0.973571i | \(-0.573345\pi\) |
0.232844 | + | 0.972514i | \(0.425197\pi\) | |||||||
\(350\) | −0.215271 | − | 0.372861i | −0.0115067 | − | 0.0199302i | ||||
\(351\) | 13.2931 | − | 18.5158i | 0.709536 | − | 0.988299i | ||||
\(352\) | 1.79576 | − | 3.11035i | 0.0957144 | − | 0.165782i | ||||
\(353\) | −5.58667 | + | 18.6608i | −0.297348 | + | 0.993212i | 0.670549 | + | 0.741865i | \(0.266059\pi\) |
−0.967897 | + | 0.251347i | \(0.919127\pi\) | |||||||
\(354\) | −3.48408 | − | 15.6478i | −0.185177 | − | 0.831673i | ||||
\(355\) | 12.0466 | + | 7.92315i | 0.639365 | + | 0.420517i | ||||
\(356\) | −0.550413 | − | 0.739333i | −0.0291718 | − | 0.0391846i | ||||
\(357\) | 7.27662 | + | 7.05503i | 0.385119 | + | 0.373392i | ||||
\(358\) | −7.17505 | + | 4.71910i | −0.379213 | + | 0.249412i | ||||
\(359\) | 3.65287 | + | 1.32954i | 0.192791 | + | 0.0701702i | 0.436611 | − | 0.899650i | \(-0.356178\pi\) |
−0.243820 | + | 0.969820i | \(0.578401\pi\) | |||||||
\(360\) | −5.76103 | + | 3.56804i | −0.303633 | + | 0.188052i | ||||
\(361\) | −6.44606 | + | 2.34617i | −0.339266 | + | 0.123483i | ||||
\(362\) | −0.111083 | + | 0.149211i | −0.00583840 | + | 0.00784233i | ||||
\(363\) | 2.07975 | + | 2.54828i | 0.109158 | + | 0.133750i | ||||
\(364\) | 12.6738 | − | 13.4334i | 0.664285 | − | 0.704101i | ||||
\(365\) | 9.43843 | − | 10.0042i | 0.494030 | − | 0.523641i | ||||
\(366\) | 16.2548 | + | 19.9168i | 0.849653 | + | 1.04107i | ||||
\(367\) | −13.3298 | + | 17.9050i | −0.695809 | + | 0.934634i | −0.999837 | − | 0.0180288i | \(-0.994261\pi\) |
0.304028 | + | 0.952663i | \(0.401668\pi\) | |||||||
\(368\) | 0.275394 | − | 0.100235i | 0.0143559 | − | 0.00522512i | ||||
\(369\) | 18.8465 | − | 11.6724i | 0.981109 | − | 0.607641i | ||||
\(370\) | 6.55135 | + | 2.38449i | 0.340588 | + | 0.123964i | ||||
\(371\) | −41.9473 | + | 27.5892i | −2.17779 | + | 1.43236i | ||||
\(372\) | 10.0601 | + | 9.75377i | 0.521593 | + | 0.505709i | ||||
\(373\) | −3.99625 | − | 5.36789i | −0.206918 | − | 0.277939i | 0.686534 | − | 0.727097i | \(-0.259131\pi\) |
−0.893452 | + | 0.449159i | \(0.851724\pi\) | |||||||
\(374\) | −4.17053 | − | 2.74300i | −0.215653 | − | 0.141837i | ||||
\(375\) | 4.16451 | + | 18.7038i | 0.215055 | + | 0.965862i | ||||
\(376\) | −0.286434 | + | 0.956757i | −0.0147717 | + | 0.0493410i | ||||
\(377\) | −16.3457 | + | 28.3115i | −0.841845 | + | 1.45812i | ||||
\(378\) | 21.7694 | + | 2.16364i | 1.11970 | + | 0.111286i | ||||
\(379\) | 14.2265 | + | 24.6411i | 0.730767 | + | 1.26573i | 0.956556 | + | 0.291550i | \(0.0941708\pi\) |
−0.225788 | + | 0.974176i | \(0.572496\pi\) | |||||||
\(380\) | −11.1770 | + | 2.64900i | −0.573370 | + | 0.135891i | ||||
\(381\) | −16.4308 | + | 31.6339i | −0.841774 | + | 1.62066i | ||||
\(382\) | −6.56287 | + | 3.29600i | −0.335786 | + | 0.168638i | ||||
\(383\) | 13.7800 | − | 31.9456i | 0.704124 | − | 1.63234i | −0.0686342 | − | 0.997642i | \(-0.521864\pi\) |
0.772758 | − | 0.634701i | \(-0.218877\pi\) | |||||||
\(384\) | 0.756177 | + | 1.55827i | 0.0385885 | + | 0.0795200i | ||||
\(385\) | −1.98596 | − | 34.0977i | −0.101214 | − | 1.73778i | ||||
\(386\) | 0.0848786 | + | 0.481371i | 0.00432021 | + | 0.0245011i | ||||
\(387\) | −6.53477 | + | 5.18651i | −0.332181 | + | 0.263645i | ||||
\(388\) | −0.324153 | + | 1.83836i | −0.0164564 | + | 0.0933288i | ||||
\(389\) | −20.5578 | − | 2.40286i | −1.04232 | − | 0.121830i | −0.422334 | − | 0.906440i | \(-0.638789\pi\) |
−0.619989 | + | 0.784610i | \(0.712863\pi\) | |||||||
\(390\) | 14.9784 | − | 8.37770i | 0.758460 | − | 0.424221i | ||||
\(391\) | −0.116822 | − | 0.390213i | −0.00590795 | − | 0.0197339i | ||||
\(392\) | 10.4364 | + | 2.47348i | 0.527120 | + | 0.124930i | ||||
\(393\) | 6.64024 | − | 7.69799i | 0.334956 | − | 0.388312i | ||||
\(394\) | −3.30582 | − | 7.66374i | −0.166545 | − | 0.386094i | ||||
\(395\) | 20.9701 | + | 17.5960i | 1.05512 | + | 0.885353i | ||||
\(396\) | −10.7318 | + | 0.958723i | −0.539295 | + | 0.0481776i | ||||
\(397\) | 2.81853 | − | 2.36502i | 0.141458 | − | 0.118697i | −0.569313 | − | 0.822121i | \(-0.692791\pi\) |
0.710771 | + | 0.703424i | \(0.248346\pi\) | |||||||
\(398\) | 6.24552 | + | 3.13662i | 0.313060 | + | 0.157224i | ||||
\(399\) | 33.8467 | + | 15.1504i | 1.69445 | + | 0.758470i | ||||
\(400\) | −0.101571 | + | 0.0118719i | −0.00507855 | + | 0.000593597i | ||||
\(401\) | −1.22319 | + | 21.0013i | −0.0610830 | + | 1.04875i | 0.818957 | + | 0.573855i | \(0.194553\pi\) |
−0.880040 | + | 0.474899i | \(0.842484\pi\) | |||||||
\(402\) | 7.67431 | + | 5.87755i | 0.382760 | + | 0.293145i | ||||
\(403\) | −24.3529 | − | 25.8126i | −1.21311 | − | 1.28582i | ||||
\(404\) | 7.17224 | 0.356832 | ||||||||
\(405\) | 18.6961 | + | 7.98362i | 0.929018 | + | 0.396709i | ||||
\(406\) | −31.3765 | −1.55719 | ||||||||
\(407\) | 7.60710 | + | 8.06305i | 0.377070 | + | 0.399671i | ||||
\(408\) | 2.22323 | − | 0.923276i | 0.110066 | − | 0.0457090i | ||||
\(409\) | 0.106998 | − | 1.83708i | 0.00529069 | − | 0.0908376i | −0.994629 | − | 0.103503i | \(-0.966995\pi\) |
0.999920 | + | 0.0126658i | \(0.00403177\pi\) | |||||||
\(410\) | 16.5786 | − | 1.93776i | 0.818757 | − | 0.0956989i | ||||
\(411\) | 0.524855 | + | 5.09126i | 0.0258892 | + | 0.251133i | ||||
\(412\) | 4.88132 | + | 2.45149i | 0.240485 | + | 0.120776i | ||||
\(413\) | −29.8507 | + | 25.0477i | −1.46886 | + | 1.23252i | ||||
\(414\) | −0.721125 | − | 0.502971i | −0.0354414 | − | 0.0247197i | ||||
\(415\) | 5.36248 | + | 4.49966i | 0.263234 | + | 0.220879i | ||||
\(416\) | −1.73744 | − | 4.02785i | −0.0851852 | − | 0.197482i | ||||
\(417\) | −8.74843 | − | 25.0951i | −0.428412 | − | 1.22891i | ||||
\(418\) | −17.7715 | − | 4.21192i | −0.869232 | − | 0.206012i | ||||
\(419\) | −3.70575 | − | 12.3781i | −0.181038 | − | 0.604709i | −0.999544 | − | 0.0302103i | \(-0.990382\pi\) |
0.818506 | − | 0.574499i | \(-0.194803\pi\) | |||||||
\(420\) | 14.1515 | + | 8.42956i | 0.690521 | + | 0.411320i | ||||
\(421\) | 12.4210 | + | 1.45181i | 0.605365 | + | 0.0707570i | 0.413253 | − | 0.910616i | \(-0.364392\pi\) |
0.192112 | + | 0.981373i | \(0.438466\pi\) | |||||||
\(422\) | −1.01420 | + | 5.75182i | −0.0493705 | + | 0.279994i | ||||
\(423\) | 2.84233 | − | 0.947628i | 0.138199 | − | 0.0460752i | ||||
\(424\) | 2.07078 | + | 11.7440i | 0.100566 | + | 0.570338i | ||||
\(425\) | 0.00826418 | + | 0.141890i | 0.000400871 | + | 0.00688270i | ||||
\(426\) | −11.0276 | − | 0.793216i | −0.534290 | − | 0.0384314i | ||||
\(427\) | 24.7508 | − | 57.3788i | 1.19777 | − | 2.77675i | ||||
\(428\) | 12.3567 | − | 6.20576i | 0.597283 | − | 0.299967i | ||||
\(429\) | 27.2607 | − | 1.21524i | 1.31616 | − | 0.0586723i | ||||
\(430\) | −6.11233 | + | 1.44865i | −0.294763 | + | 0.0698601i | ||||
\(431\) | 2.34564 | + | 4.06276i | 0.112985 | + | 0.195696i | 0.916973 | − | 0.398950i | \(-0.130625\pi\) |
−0.803987 | + | 0.594647i | \(0.797292\pi\) | |||||||
\(432\) | 2.51988 | − | 4.54425i | 0.121238 | − | 0.218635i | ||||
\(433\) | 11.1994 | − | 19.3979i | 0.538209 | − | 0.932205i | −0.460792 | − | 0.887508i | \(-0.652434\pi\) |
0.999001 | − | 0.0446970i | \(-0.0142322\pi\) | |||||||
\(434\) | 9.76854 | − | 32.6292i | 0.468905 | − | 1.56625i | ||||
\(435\) | −27.8158 | − | 8.74228i | −1.33366 | − | 0.419160i | ||||
\(436\) | −14.2379 | − | 9.36441i | −0.681871 | − | 0.448474i | ||||
\(437\) | −0.889960 | − | 1.19542i | −0.0425726 | − | 0.0571849i | ||||
\(438\) | −2.57178 | + | 10.2280i | −0.122885 | + | 0.488711i | ||||
\(439\) | −1.97929 | + | 1.30180i | −0.0944663 | + | 0.0621314i | −0.595863 | − | 0.803086i | \(-0.703190\pi\) |
0.501397 | + | 0.865217i | \(0.332820\pi\) | |||||||
\(440\) | −7.62335 | − | 2.77467i | −0.363429 | − | 0.132277i | ||||
\(441\) | −11.9346 | − | 29.8815i | −0.568313 | − | 1.42293i | ||||
\(442\) | −5.72910 | + | 2.08522i | −0.272506 | + | 0.0991840i | ||||
\(443\) | −13.1297 | + | 17.6362i | −0.623809 | + | 0.837921i | −0.995917 | − | 0.0902682i | \(-0.971228\pi\) |
0.372108 | + | 0.928189i | \(0.378635\pi\) | |||||||
\(444\) | −5.27688 | + | 0.856477i | −0.250430 | + | 0.0406466i | ||||
\(445\) | −1.42875 | + | 1.51439i | −0.0677294 | + | 0.0717890i | ||||
\(446\) | −7.34206 | + | 7.78212i | −0.347656 | + | 0.368494i | ||||
\(447\) | 8.35734 | − | 22.0230i | 0.395289 | − | 1.04165i | ||||
\(448\) | 2.51414 | − | 3.37708i | 0.118782 | − | 0.159552i | ||||
\(449\) | −6.42022 | + | 2.33677i | −0.302989 | + | 0.110279i | −0.489041 | − | 0.872261i | \(-0.662653\pi\) |
0.186052 | + | 0.982540i | \(0.440431\pi\) | |||||||
\(450\) | 0.204370 | + | 0.228804i | 0.00963411 | + | 0.0107859i | ||||
\(451\) | 24.9389 | + | 9.07700i | 1.17432 | + | 0.427419i | ||||
\(452\) | 7.34963 | − | 4.83393i | 0.345697 | − | 0.227369i | ||||
\(453\) | −7.27175 | + | 2.06947i | −0.341657 | + | 0.0972320i | ||||
\(454\) | 2.29997 | + | 3.08939i | 0.107943 | + | 0.144992i | ||||
\(455\) | −34.8538 | − | 22.9237i | −1.63397 | − | 1.07468i | ||||
\(456\) | 6.48842 | − | 5.95648i | 0.303848 | − | 0.278938i | ||||
\(457\) | 6.91767 | − | 23.1066i | 0.323595 | − | 1.08088i | −0.629193 | − | 0.777249i | \(-0.716615\pi\) |
0.952789 | − | 0.303634i | \(-0.0982001\pi\) | |||||||
\(458\) | −7.15694 | + | 12.3962i | −0.334422 | + | 0.579236i | ||||
\(459\) | −6.10157 | − | 3.86360i | −0.284797 | − | 0.180337i | ||||
\(460\) | −0.330994 | − | 0.573299i | −0.0154327 | − | 0.0267302i | ||||
\(461\) | 23.2660 | − | 5.51415i | 1.08361 | − | 0.256820i | 0.350245 | − | 0.936658i | \(-0.386098\pi\) |
0.733362 | + | 0.679839i | \(0.237950\pi\) | |||||||
\(462\) | 14.0922 | + | 22.0757i | 0.655629 | + | 1.02706i | ||||
\(463\) | −1.04020 | + | 0.522406i | −0.0483420 | + | 0.0242783i | −0.472806 | − | 0.881167i | \(-0.656759\pi\) |
0.424464 | + | 0.905445i | \(0.360463\pi\) | |||||||
\(464\) | −2.95180 | + | 6.84304i | −0.137034 | + | 0.317680i | ||||
\(465\) | 17.7513 | − | 26.2046i | 0.823197 | − | 1.21521i | ||||
\(466\) | 0.989727 | + | 16.9930i | 0.0458482 | + | 0.787184i | ||||
\(467\) | 5.51838 | + | 31.2963i | 0.255360 | + | 1.44822i | 0.795146 | + | 0.606418i | \(0.207394\pi\) |
−0.539786 | + | 0.841802i | \(0.681495\pi\) | |||||||
\(468\) | −6.88807 | + | 11.2132i | −0.318401 | + | 0.518329i | ||||
\(469\) | 4.08016 | − | 23.1397i | 0.188404 | − | 1.06849i | ||||
\(470\) | 2.24066 | + | 0.261895i | 0.103354 | + | 0.0120803i | ||||
\(471\) | 0.0451842 | − | 3.31518i | 0.00208198 | − | 0.152755i | ||||
\(472\) | 2.65451 | + | 8.86669i | 0.122184 | + | 0.408122i | ||||
\(473\) | −9.71862 | − | 2.30335i | −0.446862 | − | 0.105908i | ||||
\(474\) | −20.6202 | − | 3.92638i | −0.947117 | − | 0.180344i | ||||
\(475\) | 0.205973 | + | 0.477500i | 0.00945070 | + | 0.0219092i | ||||
\(476\) | −4.48256 | − | 3.76132i | −0.205458 | − | 0.172400i | ||||
\(477\) | 25.2507 | − | 25.3433i | 1.15615 | − | 1.16039i | ||||
\(478\) | −6.44740 | + | 5.41001i | −0.294897 | + | 0.247448i | ||||
\(479\) | −0.572276 | − | 0.287408i | −0.0261479 | − | 0.0131320i | 0.435677 | − | 0.900103i | \(-0.356509\pi\) |
−0.461825 | + | 0.886971i | \(0.652805\pi\) | |||||||
\(480\) | 3.16977 | − | 2.29333i | 0.144679 | − | 0.104676i | ||||
\(481\) | 13.4476 | − | 1.57180i | 0.613158 | − | 0.0716679i | ||||
\(482\) | −0.845183 | + | 14.5112i | −0.0384970 | + | 0.660969i | ||||
\(483\) | −0.277010 | + | 2.11909i | −0.0126044 | + | 0.0964221i | ||||
\(484\) | −1.30320 | − | 1.38131i | −0.0592365 | − | 0.0627870i | ||||
\(485\) | 4.21659 | 0.191466 | ||||||||
\(486\) | −15.5003 | + | 1.65532i | −0.703109 | + | 0.0750870i | ||||
\(487\) | −32.1652 | −1.45754 | −0.728772 | − | 0.684756i | \(-0.759909\pi\) | ||||
−0.728772 | + | 0.684756i | \(0.759909\pi\) | |||||||
\(488\) | −10.1855 | − | 10.7960i | −0.461077 | − | 0.488713i | ||||
\(489\) | 2.26288 | − | 17.3107i | 0.102331 | − | 0.782819i | ||||
\(490\) | 1.40868 | − | 24.1861i | 0.0636377 | − | 1.09262i | ||||
\(491\) | −12.3627 | + | 1.44500i | −0.557923 | + | 0.0652118i | −0.390381 | − | 0.920653i | \(-0.627657\pi\) |
−0.167541 | + | 0.985865i | \(0.553583\pi\) | |||||||
\(492\) | −10.3695 | + | 7.50235i | −0.467493 | + | 0.338232i | ||||
\(493\) | 9.25627 | + | 4.64867i | 0.416881 | + | 0.209366i | ||||
\(494\) | −17.0881 | + | 14.3386i | −0.768831 | + | 0.645126i | ||||
\(495\) | 6.34213 | + | 23.4969i | 0.285058 | + | 1.05611i | ||||
\(496\) | −6.19726 | − | 5.20012i | −0.278265 | − | 0.233492i | ||||
\(497\) | 10.6445 | + | 24.6767i | 0.477470 | + | 1.10690i | ||||
\(498\) | −5.27299 | − | 1.00405i | −0.236289 | − | 0.0449927i | ||||
\(499\) | −6.71533 | − | 1.59156i | −0.300619 | − | 0.0712481i | 0.0775381 | − | 0.996989i | \(-0.475294\pi\) |
−0.378157 | + | 0.925741i | \(0.623442\pi\) | |||||||
\(500\) | −3.17293 | − | 10.5983i | −0.141898 | − | 0.473972i | ||||
\(501\) | −0.386154 | + | 28.3322i | −0.0172521 | + | 1.26579i | ||||
\(502\) | −28.7690 | − | 3.36261i | −1.28402 | − | 0.150081i | ||||
\(503\) | 3.29830 | − | 18.7056i | 0.147064 | − | 0.834040i | −0.818623 | − | 0.574331i | \(-0.805262\pi\) |
0.965687 | − | 0.259709i | \(-0.0836267\pi\) | |||||||
\(504\) | −12.6258 | − | 0.344231i | −0.562399 | − | 0.0153333i | ||||
\(505\) | −2.81324 | − | 15.9547i | −0.125187 | − | 0.709973i | ||||
\(506\) | −0.0612010 | − | 1.05078i | −0.00272072 | − | 0.0467129i | ||||
\(507\) | 6.06383 | − | 8.95146i | 0.269304 | − | 0.397548i | ||||
\(508\) | 8.15154 | − | 18.8974i | 0.361666 | − | 0.838436i | ||||
\(509\) | 9.82955 | − | 4.93658i | 0.435687 | − | 0.218810i | −0.217416 | − | 0.976079i | \(-0.569763\pi\) |
0.653103 | + | 0.757269i | \(0.273467\pi\) | |||||||
\(510\) | −2.92587 | − | 4.58342i | −0.129560 | − | 0.202957i | ||||
\(511\) | 24.9445 | − | 5.91195i | 1.10348 | − | 0.261529i | ||||
\(512\) | −0.500000 | − | 0.866025i | −0.0220971 | − | 0.0382733i | ||||
\(513\) | −25.8130 | − | 5.64825i | −1.13967 | − | 0.249376i | ||||
\(514\) | 8.16873 | − | 14.1487i | 0.360307 | − | 0.624070i | ||||
\(515\) | 3.53870 | − | 11.8201i | 0.155934 | − | 0.520855i | ||||
\(516\) | 3.54829 | − | 3.25740i | 0.156205 | − | 0.143399i | ||||
\(517\) | 2.99681 | + | 1.97104i | 0.131800 | + | 0.0866860i | ||||
\(518\) | 7.75984 | + | 10.4233i | 0.340948 | + | 0.457973i | ||||
\(519\) | −35.6939 | + | 10.1581i | −1.56679 | + | 0.445892i | ||||
\(520\) | −8.27847 | + | 5.44483i | −0.363035 | + | 0.238772i | ||||
\(521\) | 20.7976 | + | 7.56971i | 0.911159 | + | 0.331635i | 0.754716 | − | 0.656052i | \(-0.227775\pi\) |
0.156444 | + | 0.987687i | \(0.449997\pi\) | |||||||
\(522\) | 21.8874 | − | 4.56120i | 0.957986 | − | 0.199638i | ||||
\(523\) | 17.2973 | − | 6.29571i | 0.756359 | − | 0.275292i | 0.0650798 | − | 0.997880i | \(-0.479270\pi\) |
0.691279 | + | 0.722588i | \(0.257048\pi\) | |||||||
\(524\) | −3.50500 | + | 4.70804i | −0.153117 | + | 0.205672i | ||||
\(525\) | 0.264578 | − | 0.697208i | 0.0115471 | − | 0.0304286i | ||||
\(526\) | 10.4186 | − | 11.0431i | 0.454272 | − | 0.481500i | ||||
\(527\) | −7.71606 | + | 8.17854i | −0.336117 | + | 0.356263i | ||||
\(528\) | 6.14035 | − | 0.996624i | 0.267224 | − | 0.0433725i | ||||
\(529\) | −13.6834 | + | 18.3799i | −0.594929 | + | 0.799128i | ||||
\(530\) | 25.3123 | − | 9.21291i | 1.09949 | − | 0.400183i | ||||
\(531\) | 17.1819 | − | 21.8120i | 0.745630 | − | 0.946561i | ||||
\(532\) | −20.1186 | − | 7.32257i | −0.872252 | − | 0.317474i | ||||
\(533\) | 27.0820 | − | 17.8121i | 1.17305 | − | 0.771528i | ||||
\(534\) | 0.389307 | − | 1.54827i | 0.0168469 | − | 0.0670002i | ||||
\(535\) | −18.6515 | − | 25.0533i | −0.806375 | − | 1.08315i | ||||
\(536\) | −4.66281 | − | 3.06678i | −0.201403 | − | 0.132465i | ||||
\(537\) | −14.1902 | − | 4.45989i | −0.612354 | − | 0.192458i | ||||
\(538\) | 2.67353 | − | 8.93021i | 0.115264 | − | 0.385008i | ||||
\(539\) | 19.2605 | − | 33.3602i | 0.829610 | − | 1.43693i | ||||
\(540\) | −11.0971 | − | 3.82304i | −0.477543 | − | 0.164517i | ||||
\(541\) | −8.09100 | − | 14.0140i | −0.347859 | − | 0.602510i | 0.638010 | − | 0.770028i | \(-0.279758\pi\) |
−0.985869 | + | 0.167518i | \(0.946425\pi\) | |||||||
\(542\) | −17.2224 | + | 4.08179i | −0.739766 | + | 0.175328i | ||||
\(543\) | −0.321876 | + | 0.0143487i | −0.0138130 | + | 0.000615763i | ||||
\(544\) | −1.24203 | + | 0.623770i | −0.0532515 | + | 0.0267439i | ||||
\(545\) | −15.2465 | + | 35.3453i | −0.653088 | + | 1.51403i | ||||
\(546\) | 31.9057 | + | 2.29498i | 1.36544 | + | 0.0982159i | ||||
\(547\) | −2.59023 | − | 44.4725i | −0.110750 | − | 1.90151i | −0.359821 | − | 0.933021i | \(-0.617162\pi\) |
0.249071 | − | 0.968485i | \(-0.419875\pi\) | |||||||
\(548\) | −0.513133 | − | 2.91012i | −0.0219200 | − | 0.124314i | ||||
\(549\) | −8.92435 | + | 43.6239i | −0.380882 | + | 1.86182i | ||||
\(550\) | −0.0637771 | + | 0.361698i | −0.00271947 | + | 0.0154229i | ||||
\(551\) | 37.6418 | + | 4.39969i | 1.60359 | + | 0.187433i | ||||
\(552\) | 0.436103 | + | 0.259772i | 0.0185618 | + | 0.0110566i | ||||
\(553\) | 14.6336 | + | 48.8795i | 0.622282 | + | 2.07857i | ||||
\(554\) | 17.9603 | + | 4.25667i | 0.763060 | + | 0.180849i | ||||
\(555\) | 3.97504 | + | 11.4025i | 0.168731 | + | 0.484009i | ||||
\(556\) | 6.07737 | + | 14.0889i | 0.257738 | + | 0.597504i | ||||
\(557\) | −10.0552 | − | 8.43728i | −0.426051 | − | 0.357499i | 0.404409 | − | 0.914578i | \(-0.367477\pi\) |
−0.830459 | + | 0.557080i | \(0.811922\pi\) | |||||||
\(558\) | −2.07097 | + | 24.1813i | −0.0876712 | + | 1.02368i | ||||
\(559\) | −9.34491 | + | 7.84131i | −0.395248 | + | 0.331652i | ||||
\(560\) | −8.49846 | − | 4.26809i | −0.359126 | − | 0.180360i | ||||
\(561\) | −0.886606 | − | 8.60035i | −0.0374325 | − | 0.363107i | ||||
\(562\) | −0.692483 | + | 0.0809397i | −0.0292106 | + | 0.00341423i | ||||
\(563\) | −1.95829 | + | 33.6226i | −0.0825322 | + | 1.41702i | 0.662034 | + | 0.749474i | \(0.269694\pi\) |
−0.744566 | + | 0.667549i | \(0.767343\pi\) | |||||||
\(564\) | −1.59754 | + | 0.663438i | −0.0672686 | + | 0.0279358i | ||||
\(565\) | −13.6359 | − | 14.4532i | −0.573666 | − | 0.608051i | ||||
\(566\) | 13.0162 | 0.547113 | ||||||||
\(567\) | 20.9376 | + | 31.5814i | 0.879295 | + | 1.32630i | ||||
\(568\) | 6.38325 | 0.267835 | ||||||||
\(569\) | −24.8075 | − | 26.2944i | −1.03998 | − | 1.10232i | −0.994645 | − | 0.103346i | \(-0.967045\pi\) |
−0.0453375 | − | 0.998972i | \(-0.514436\pi\) | |||||||
\(570\) | −15.7952 | − | 12.0971i | −0.661589 | − | 0.506693i | ||||
\(571\) | −1.96662 | + | 33.7656i | −0.0823005 | + | 1.41305i | 0.664148 | + | 0.747601i | \(0.268795\pi\) |
−0.746448 | + | 0.665444i | \(0.768242\pi\) | |||||||
\(572\) | −15.6481 | + | 1.82900i | −0.654278 | + | 0.0764742i | ||||
\(573\) | −11.6102 | − | 5.19694i | −0.485023 | − | 0.217105i | ||||
\(574\) | 27.8017 | + | 13.9625i | 1.16042 | + | 0.582784i | ||||
\(575\) | −0.0229582 | + | 0.0192643i | −0.000957425 | + | 0.000803375i | ||||
\(576\) | −1.26287 | + | 2.72124i | −0.0526197 | + | 0.113385i | ||||
\(577\) | 21.3204 | + | 17.8899i | 0.887580 | + | 0.744768i | 0.967723 | − | 0.252016i | \(-0.0810935\pi\) |
−0.0801436 | + | 0.996783i | \(0.525538\pi\) | |||||||
\(578\) | −5.96824 | − | 13.8359i | −0.248246 | − | 0.575499i | ||||
\(579\) | −0.552985 | + | 0.641072i | −0.0229813 | + | 0.0266420i | ||||
\(580\) | 16.3802 | + | 3.88217i | 0.680150 | + | 0.161198i | ||||
\(581\) | 3.74209 | + | 12.4995i | 0.155248 | + | 0.518565i | ||||
\(582\) | −2.82186 | + | 1.57832i | −0.116970 | + | 0.0654235i | ||||
\(583\) | 42.5398 | + | 4.97220i | 1.76182 | + | 0.205927i | ||||
\(584\) | 1.05733 | − | 5.99643i | 0.0437527 | − | 0.248134i | ||||
\(585\) | 27.6455 | + | 10.9243i | 1.14300 | + | 0.451663i | ||||
\(586\) | −5.18186 | − | 29.3878i | −0.214061 | − | 1.21400i | ||||
\(587\) | 0.518114 | + | 8.89568i | 0.0213849 | + | 0.367164i | 0.991976 | + | 0.126429i | \(0.0403515\pi\) |
−0.970591 | + | 0.240735i | \(0.922611\pi\) | |||||||
\(588\) | 8.11042 | + | 16.7133i | 0.334468 | + | 0.689244i | ||||
\(589\) | −16.2945 | + | 37.7749i | −0.671403 | + | 1.55649i | ||||
\(590\) | 18.6828 | − | 9.38283i | 0.769157 | − | 0.386285i | ||||
\(591\) | 6.66342 | − | 12.8290i | 0.274097 | − | 0.527714i | ||||
\(592\) | 3.00328 | − | 0.711791i | 0.123434 | − | 0.0292544i | ||||
\(593\) | −17.5496 | − | 30.3968i | −0.720675 | − | 1.24825i | −0.960729 | − | 0.277487i | \(-0.910499\pi\) |
0.240054 | − | 0.970760i | \(-0.422835\pi\) | |||||||
\(594\) | −13.0395 | − | 13.3509i | −0.535018 | − | 0.547792i | ||||
\(595\) | −6.60882 | + | 11.4468i | −0.270935 | + | 0.469273i | ||||
\(596\) | −3.90045 | + | 13.0284i | −0.159769 | + | 0.533664i | ||||
\(597\) | 2.63085 | + | 11.8158i | 0.107674 | + | 0.483589i | ||||
\(598\) | −1.07408 | − | 0.706435i | −0.0439225 | − | 0.0288883i | ||||
\(599\) | 1.20379 | + | 1.61697i | 0.0491855 | + | 0.0660675i | 0.826035 | − | 0.563618i | \(-0.190591\pi\) |
−0.776850 | + | 0.629686i | \(0.783184\pi\) | |||||||
\(600\) | −0.127167 | − | 0.123294i | −0.00519156 | − | 0.00503346i | ||||
\(601\) | 9.97324 | − | 6.55950i | 0.406817 | − | 0.267568i | −0.329566 | − | 0.944132i | \(-0.606902\pi\) |
0.736383 | + | 0.676565i | \(0.236532\pi\) | |||||||
\(602\) | −11.0022 | − | 4.00446i | −0.448415 | − | 0.163210i | ||||
\(603\) | 0.517611 | + | 16.7348i | 0.0210788 | + | 0.681494i | ||||
\(604\) | 4.10181 | − | 1.49294i | 0.166900 | − | 0.0607467i | ||||
\(605\) | −2.56157 | + | 3.44078i | −0.104143 | + | 0.139888i | ||||
\(606\) | 7.85471 | + | 9.62426i | 0.319076 | + | 0.390959i | ||||
\(607\) | −5.73034 | + | 6.07381i | −0.232587 | + | 0.246528i | −0.833147 | − | 0.553052i | \(-0.813463\pi\) |
0.600559 | + | 0.799580i | \(0.294945\pi\) | |||||||
\(608\) | −3.48971 | + | 3.69888i | −0.141526 | + | 0.150009i | ||||
\(609\) | −34.3621 | − | 42.1034i | −1.39242 | − | 1.70612i | ||||
\(610\) | −20.0206 | + | 26.8924i | −0.810611 | + | 1.08884i | ||||
\(611\) | 4.11676 | − | 1.49838i | 0.166546 | − | 0.0606178i | ||||
\(612\) | 3.67370 | + | 1.97217i | 0.148501 | + | 0.0797201i | ||||
\(613\) | −24.8380 | − | 9.04029i | −1.00320 | − | 0.365134i | −0.212381 | − | 0.977187i | \(-0.568122\pi\) |
−0.790817 | + | 0.612053i | \(0.790344\pi\) | |||||||
\(614\) | −4.89527 | + | 3.21967i | −0.197557 | + | 0.129935i | ||||
\(615\) | 20.7563 | + | 20.1243i | 0.836976 | + | 0.811488i | ||||
\(616\) | −9.02960 | − | 12.1289i | −0.363813 | − | 0.488685i | ||||
\(617\) | 12.6415 | + | 8.31444i | 0.508927 | + | 0.334727i | 0.777866 | − | 0.628431i | \(-0.216302\pi\) |
−0.268938 | + | 0.963157i | \(0.586673\pi\) | |||||||
\(618\) | 2.05620 | + | 9.23489i | 0.0827125 | + | 0.371482i | ||||
\(619\) | −11.0904 | + | 37.0446i | −0.445762 | + | 1.48895i | 0.380031 | + | 0.924974i | \(0.375913\pi\) |
−0.825793 | + | 0.563974i | \(0.809272\pi\) | |||||||
\(620\) | −9.13687 | + | 15.8255i | −0.366945 | + | 0.635568i | ||||
\(621\) | −0.114818 | − | 1.51849i | −0.00460748 | − | 0.0609350i | ||||
\(622\) | −3.57463 | − | 6.19144i | −0.143330 | − | 0.248254i | ||||
\(623\) | −3.77600 | + | 0.894928i | −0.151282 | + | 0.0358545i | ||||
\(624\) | 3.50211 | − | 6.74256i | 0.140197 | − | 0.269918i | ||||
\(625\) | −22.7884 | + | 11.4448i | −0.911536 | + | 0.457791i | ||||
\(626\) | 4.96810 | − | 11.5173i | 0.198565 | − | 0.460326i | ||||
\(627\) | −13.8107 | − | 28.4599i | −0.551544 | − | 1.13658i | ||||
\(628\) | 0.111301 | + | 1.91096i | 0.00444138 | + | 0.0762555i | ||||
\(629\) | −0.744914 | − | 4.22462i | −0.0297017 | − | 0.168446i | ||||
\(630\) | 4.18661 | + | 28.2212i | 0.166798 | + | 1.12436i | ||||
\(631\) | −4.17190 | + | 23.6600i | −0.166081 | + | 0.941892i | 0.781862 | + | 0.623451i | \(0.214270\pi\) |
−0.947943 | + | 0.318440i | \(0.896841\pi\) | |||||||
\(632\) | 12.0370 | + | 1.40693i | 0.478808 | + | 0.0559646i | ||||
\(633\) | −8.82894 | + | 4.93820i | −0.350919 | + | 0.196276i | ||||
\(634\) | 4.47406 | + | 14.9444i | 0.177688 | + | 0.593518i | ||||
\(635\) | −45.2346 | − | 10.7208i | −1.79508 | − | 0.425442i | ||||
\(636\) | −13.4912 | + | 15.6402i | −0.534959 | + | 0.620175i | ||||
\(637\) | −18.6351 | − | 43.2009i | −0.738348 | − | 1.71168i | ||||
\(638\) | 20.5039 | + | 17.2048i | 0.811758 | + | 0.681146i | ||||
\(639\) | −11.0126 | − | 15.6664i | −0.435650 | − | 0.619754i | ||||
\(640\) | −1.73036 | + | 1.45194i | −0.0683983 | + | 0.0573930i | ||||
\(641\) | 5.31254 | + | 2.66806i | 0.209833 | + | 0.105382i | 0.550612 | − | 0.834762i | \(-0.314395\pi\) |
−0.340779 | + | 0.940143i | \(0.610691\pi\) | |||||||
\(642\) | 21.8599 | + | 9.78489i | 0.862740 | + | 0.386179i | ||||
\(643\) | 14.6766 | − | 1.71545i | 0.578788 | − | 0.0676507i | 0.178338 | − | 0.983969i | \(-0.442928\pi\) |
0.400450 | + | 0.916319i | \(0.368854\pi\) | |||||||
\(644\) | 0.0717430 | − | 1.23178i | 0.00282707 | − | 0.0485390i | ||||
\(645\) | −8.63787 | − | 6.61551i | −0.340116 | − | 0.260485i | ||||
\(646\) | 4.85022 | + | 5.14094i | 0.190829 | + | 0.202267i | ||||
\(647\) | 19.6797 | 0.773690 | 0.386845 | − | 0.922145i | \(-0.373565\pi\) | ||||
0.386845 | + | 0.922145i | \(0.373565\pi\) | |||||||
\(648\) | 8.85749 | − | 1.59529i | 0.347955 | − | 0.0626689i | ||||
\(649\) | 33.2414 | 1.30484 | ||||||||
\(650\) | 0.307837 | + | 0.326289i | 0.0120744 | + | 0.0127981i | ||||
\(651\) | 54.4825 | − | 22.6259i | 2.13534 | − | 0.886777i | ||||
\(652\) | −0.586065 | + | 10.0623i | −0.0229521 | + | 0.394072i | ||||
\(653\) | −33.4217 | + | 3.90644i | −1.30789 | + | 0.152871i | −0.741326 | − | 0.671145i | \(-0.765803\pi\) |
−0.566566 | + | 0.824016i | \(0.691729\pi\) | |||||||
\(654\) | −3.02681 | − | 29.3610i | −0.118358 | − | 1.14811i | ||||
\(655\) | 11.8478 | + | 5.95021i | 0.462933 | + | 0.232494i | ||||
\(656\) | 5.66064 | − | 4.74984i | 0.221011 | − | 0.185450i | ||||
\(657\) | −16.5412 | + | 7.75020i | −0.645333 | + | 0.302364i | ||||
\(658\) | 3.22103 | + | 2.70277i | 0.125569 | + | 0.105365i | ||||
\(659\) | 17.9088 | + | 41.5172i | 0.697626 | + | 1.61728i | 0.783811 | + | 0.621000i | \(0.213273\pi\) |
−0.0861849 | + | 0.996279i | \(0.527468\pi\) | |||||||
\(660\) | −4.62548 | − | 13.2683i | −0.180047 | − | 0.516468i | ||||
\(661\) | −12.5188 | − | 2.96701i | −0.486926 | − | 0.115403i | −0.0201823 | − | 0.999796i | \(-0.506425\pi\) |
−0.466743 | + | 0.884393i | \(0.654573\pi\) | |||||||
\(662\) | −9.64621 | − | 32.2206i | −0.374911 | − | 1.25229i | ||||
\(663\) | −9.07237 | − | 5.40411i | −0.352342 | − | 0.209878i | ||||
\(664\) | 3.07811 | + | 0.359779i | 0.119454 | + | 0.0139621i | ||||
\(665\) | −8.39777 | + | 47.6261i | −0.325651 | + | 1.84686i | ||||
\(666\) | −6.92829 | − | 6.14296i | −0.268466 | − | 0.238035i | ||||
\(667\) | 0.379266 | + | 2.15092i | 0.0146852 | + | 0.0832840i | ||||
\(668\) | −0.951199 | − | 16.3314i | −0.0368030 | − | 0.631883i | ||||
\(669\) | −18.4833 | − | 1.32951i | −0.714608 | − | 0.0514017i | ||||
\(670\) | −4.99311 | + | 11.5753i | −0.192901 | + | 0.447194i | ||||
\(671\) | −47.6370 | + | 23.9242i | −1.83900 | + | 0.923583i | ||||
\(672\) | 7.28500 | − | 0.324754i | 0.281025 | − | 0.0125277i | ||||
\(673\) | 8.59055 | − | 2.03600i | 0.331141 | − | 0.0784819i | −0.0616821 | − | 0.998096i | \(-0.519646\pi\) |
0.392823 | + | 0.919614i | \(0.371498\pi\) | |||||||
\(674\) | 4.80300 | + | 8.31904i | 0.185005 | + | 0.320438i | ||||
\(675\) | −0.0832096 | + | 0.524815i | −0.00320274 | + | 0.0202002i | ||||
\(676\) | −3.12115 | + | 5.40598i | −0.120044 | + | 0.207922i | ||||
\(677\) | −4.78789 | + | 15.9927i | −0.184013 | + | 0.614648i | 0.815350 | + | 0.578969i | \(0.196545\pi\) |
−0.999363 | + | 0.0356792i | \(0.988641\pi\) | |||||||
\(678\) | 14.5355 | + | 4.56840i | 0.558233 | + | 0.175448i | ||||
\(679\) | 6.56629 | + | 4.31872i | 0.251991 | + | 0.165737i | ||||
\(680\) | 1.87475 | + | 2.51823i | 0.0718934 | + | 0.0965696i | ||||
\(681\) | −1.62677 | + | 6.46964i | −0.0623378 | + | 0.247917i | ||||
\(682\) | −24.2753 | + | 15.9661i | −0.929549 | + | 0.611374i | ||||
\(683\) | −2.56187 | − | 0.932444i | −0.0980272 | − | 0.0356790i | 0.292541 | − | 0.956253i | \(-0.405499\pi\) |
−0.390568 | + | 0.920574i | \(0.627721\pi\) | |||||||
\(684\) | 15.0987 | + | 2.18339i | 0.577313 | + | 0.0834841i | ||||
\(685\) | −6.27230 | + | 2.28293i | −0.239652 | + | 0.0872263i | ||||
\(686\) | 9.36657 | − | 12.5815i | 0.357617 | − | 0.480363i | ||||
\(687\) | −24.4721 | + | 3.97201i | −0.933670 | + | 0.151542i | ||||
\(688\) | −1.90840 | + | 2.02279i | −0.0727572 | + | 0.0771181i | ||||
\(689\) | 35.8979 | − | 38.0496i | 1.36760 | − | 1.44957i | ||||
\(690\) | 0.406807 | − | 1.07200i | 0.0154869 | − | 0.0408105i | ||||
\(691\) | −2.78748 | + | 3.74424i | −0.106041 | + | 0.142437i | −0.851976 | − | 0.523581i | \(-0.824596\pi\) |
0.745935 | + | 0.666019i | \(0.232003\pi\) | |||||||
\(692\) | 20.1340 | − | 7.32818i | 0.765380 | − | 0.278576i | ||||
\(693\) | −14.1897 | + | 43.0864i | −0.539024 | + | 1.63672i | ||||
\(694\) | −2.75990 | − | 1.00452i | −0.104764 | − | 0.0381311i | ||||
\(695\) | 28.9571 | − | 19.0454i | 1.09840 | − | 0.722432i | ||||
\(696\) | −12.4152 | + | 3.53324i | −0.470597 | + | 0.133927i | ||||
\(697\) | −6.13302 | − | 8.23807i | −0.232305 | − | 0.312039i | ||||
\(698\) | −0.0714974 | − | 0.0470246i | −0.00270622 | − | 0.00177991i | ||||
\(699\) | −21.7186 | + | 19.9380i | −0.821472 | + | 0.754125i | ||||
\(700\) | −0.123481 | + | 0.412455i | −0.00466714 | + | 0.0155893i | ||||
\(701\) | 25.3003 | − | 43.8213i | 0.955577 | − | 1.65511i | 0.222536 | − | 0.974925i | \(-0.428567\pi\) |
0.733042 | − | 0.680184i | \(-0.238100\pi\) | |||||||
\(702\) | −22.5902 | + | 3.03722i | −0.852612 | + | 0.114632i | ||||
\(703\) | −7.84776 | − | 13.5927i | −0.295984 | − | 0.512659i | ||||
\(704\) | −3.49471 | + | 0.828262i | −0.131712 | + | 0.0312163i | ||||
\(705\) | 2.10244 | + | 3.29351i | 0.0791824 | + | 0.124041i | ||||
\(706\) | 17.4072 | − | 8.74220i | 0.655127 | − | 0.329017i | ||||
\(707\) | 11.9602 | − | 27.7268i | 0.449808 | − | 1.04277i | ||||
\(708\) | −8.99091 | + | 13.2724i | −0.337899 | + | 0.498808i | ||||
\(709\) | −0.865531 | − | 14.8606i | −0.0325057 | − | 0.558101i | −0.974767 | − | 0.223224i | \(-0.928342\pi\) |
0.942262 | − | 0.334878i | \(-0.108695\pi\) | |||||||
\(710\) | −2.50376 | − | 14.1995i | −0.0939646 | − | 0.532900i | ||||
\(711\) | −17.3136 | − | 31.9698i | −0.649311 | − | 1.19896i | ||||
\(712\) | −0.160055 | + | 0.907717i | −0.00599831 | + | 0.0340181i | ||||
\(713\) | −2.35488 | − | 0.275246i | −0.0881908 | − | 0.0103080i | ||||
\(714\) | 0.138125 | − | 10.1343i | 0.00516920 | − | 0.379266i | ||||
\(715\) | 10.2064 | + | 34.0917i | 0.381698 | + | 1.27496i | ||||
\(716\) | 8.35637 | + | 1.98050i | 0.312292 | + | 0.0740146i | ||||
\(717\) | −14.3205 | − | 2.72682i | −0.534808 | − | 0.101835i | ||||
\(718\) | −1.53968 | − | 3.56938i | −0.0574604 | − | 0.133208i | ||||
\(719\) | −10.0350 | − | 8.42040i | −0.374244 | − | 0.314028i | 0.436194 | − | 0.899853i | \(-0.356326\pi\) |
−0.810438 | + | 0.585825i | \(0.800771\pi\) | |||||||
\(720\) | 6.54876 | + | 1.74188i | 0.244058 | + | 0.0649162i | ||||
\(721\) | 17.6170 | − | 14.7824i | 0.656091 | − | 0.550526i | ||||
\(722\) | 6.13010 | + | 3.07865i | 0.228139 | + | 0.114576i | ||||
\(723\) | −20.3979 | + | 14.7579i | −0.758606 | + | 0.548853i | ||||
\(724\) | 0.184762 | − | 0.0215955i | 0.00686662 | − | 0.000802592i | ||||
\(725\) | 0.0443130 | − | 0.760825i | 0.00164574 | − | 0.0282563i | ||||
\(726\) | 0.426345 | − | 3.26149i | 0.0158232 | − | 0.121045i | ||||
\(727\) | 21.5371 | + | 22.8280i | 0.798768 | + | 0.846645i | 0.990883 | − | 0.134728i | \(-0.0430160\pi\) |
−0.192115 | + | 0.981372i | \(0.561535\pi\) | |||||||
\(728\) | −18.4684 | −0.684483 | ||||||||
\(729\) | −19.1965 | − | 18.9867i | −0.710981 | − | 0.703211i | ||||
\(730\) | −13.7538 | −0.509051 | ||||||||
\(731\) | 2.65242 | + | 2.81140i | 0.0981033 | + | 0.103983i | ||||
\(732\) | 3.33222 | − | 25.4911i | 0.123162 | − | 0.942176i | ||||
\(733\) | −1.84946 | + | 31.7541i | −0.0683115 | + | 1.17286i | 0.773753 | + | 0.633487i | \(0.218377\pi\) |
−0.842065 | + | 0.539377i | \(0.818660\pi\) | |||||||
\(734\) | 22.1711 | − | 2.59143i | 0.818350 | − | 0.0956514i | ||||
\(735\) | 33.9975 | − | 24.5973i | 1.25402 | − | 0.907283i | ||||
\(736\) | −0.261895 | − | 0.131529i | −0.00965359 | − | 0.00484822i | ||||
\(737\) | −15.3547 | + | 12.8841i | −0.565596 | + | 0.474591i | ||||
\(738\) | −21.4234 | − | 5.69836i | −0.788608 | − | 0.209760i | ||||
\(739\) | −13.0781 | − | 10.9738i | −0.481086 | − | 0.403679i | 0.369733 | − | 0.929138i | \(-0.379449\pi\) |
−0.850819 | + | 0.525459i | \(0.823894\pi\) | |||||||
\(740\) | −2.76139 | − | 6.40162i | −0.101511 | − | 0.235328i | ||||
\(741\) | −37.9549 | − | 7.22714i | −1.39431 | − | 0.265496i | ||||
\(742\) | 48.8536 | + | 11.5785i | 1.79347 | + | 0.425061i | ||||
\(743\) | 11.7045 | + | 39.0957i | 0.429396 | + | 1.43428i | 0.849877 | + | 0.526981i | \(0.176676\pi\) |
−0.420481 | + | 0.907301i | \(0.638139\pi\) | |||||||
\(744\) | 0.190962 | − | 14.0109i | 0.00700099 | − | 0.513665i | ||||
\(745\) | 30.5116 | + | 3.56630i | 1.11786 | + | 0.130659i | ||||
\(746\) | −1.16207 | + | 6.59043i | −0.0425464 | + | 0.241293i | ||||
\(747\) | −4.42743 | − | 8.17531i | −0.161991 | − | 0.299119i | ||||
\(748\) | 0.866805 | + | 4.91590i | 0.0316935 | + | 0.179743i | ||||
\(749\) | −3.38496 | − | 58.1176i | −0.123684 | − | 2.12357i | ||||
\(750\) | 10.7468 | − | 15.8645i | 0.392418 | − | 0.579290i | ||||
\(751\) | −4.37209 | + | 10.1356i | −0.159540 | + | 0.369855i | −0.979171 | − | 0.203036i | \(-0.934919\pi\) |
0.819631 | + | 0.572891i | \(0.194178\pi\) | |||||||
\(752\) | 0.892483 | − | 0.448222i | 0.0325455 | − | 0.0163450i | ||||
\(753\) | −26.9943 | − | 42.2870i | −0.983726 | − | 1.54103i | ||||
\(754\) | 31.8101 | − | 7.53914i | 1.15846 | − | 0.274559i | ||||
\(755\) | −4.92993 | − | 8.53889i | −0.179419 | − | 0.310762i | ||||
\(756\) | −13.3653 | − | 17.3193i | −0.486092 | − | 0.629897i | ||||
\(757\) | −10.2741 | + | 17.7953i | −0.373419 | + | 0.646780i | −0.990089 | − | 0.140441i | \(-0.955148\pi\) |
0.616670 | + | 0.787222i | \(0.288481\pi\) | |||||||
\(758\) | 8.16042 | − | 27.2577i | 0.296400 | − | 0.990045i | ||||
\(759\) | 1.34299 | − | 1.23289i | 0.0487476 | − | 0.0447512i | ||||
\(760\) | 9.59696 | + | 6.31202i | 0.348118 | + | 0.228961i | ||||
\(761\) | 6.46390 | + | 8.68252i | 0.234316 | + | 0.314741i | 0.903692 | − | 0.428183i | \(-0.140846\pi\) |
−0.669376 | + | 0.742924i | \(0.733439\pi\) | |||||||
\(762\) | 34.2852 | − | 9.75720i | 1.24202 | − | 0.353466i | ||||
\(763\) | −59.9440 | + | 39.4258i | −2.17012 | + | 1.42731i | ||||
\(764\) | 6.90114 | + | 2.51181i | 0.249675 | + | 0.0908741i | ||||
\(765\) | 2.94612 | − | 8.94572i | 0.106517 | − | 0.323433i | ||||
\(766\) | −32.6928 | + | 11.8992i | −1.18124 | + | 0.429935i | ||||
\(767\) | 24.2448 | − | 32.5664i | 0.875429 | − | 1.17591i | ||||
\(768\) | 0.614522 | − | 1.61937i | 0.0221747 | − | 0.0584340i | ||||
\(769\) | 22.0289 | − | 23.3493i | 0.794382 | − | 0.841996i | −0.195964 | − | 0.980611i | \(-0.562784\pi\) |
0.990346 | + | 0.138615i | \(0.0442651\pi\) | |||||||
\(770\) | −23.4389 | + | 24.8438i | −0.844679 | + | 0.895308i | ||||
\(771\) | 27.9318 | − | 4.53354i | 1.00594 | − | 0.163271i | ||||
\(772\) | 0.291889 | − | 0.392075i | 0.0105053 | − | 0.0141111i | ||||
\(773\) | 33.1775 | − | 12.0756i | 1.19331 | − | 0.434329i | 0.332426 | − | 0.943130i | \(-0.392133\pi\) |
0.860885 | + | 0.508800i | \(0.169911\pi\) | |||||||
\(774\) | 8.25696 | + | 1.19402i | 0.296790 | + | 0.0429183i | ||||
\(775\) | 0.777405 | + | 0.282952i | 0.0279252 | + | 0.0101640i | ||||
\(776\) | 1.55963 | − | 1.02578i | 0.0559873 | − | 0.0368234i | ||||
\(777\) | −5.48853 | + | 21.8279i | −0.196900 | + | 0.783070i | ||||
\(778\) | 12.3598 | + | 16.6022i | 0.443122 | + | 0.595216i | ||||
\(779\) | −31.3953 | − | 20.6490i | −1.12485 | − | 0.739827i | ||||
\(780\) | −16.3725 | − | 5.14575i | −0.586230 | − | 0.184247i | ||||
\(781\) | 6.57513 | − | 21.9625i | 0.235277 | − | 0.785879i | ||||
\(782\) | −0.203663 | + | 0.352754i | −0.00728296 | + | 0.0126145i | ||||
\(783\) | 30.0907 | + | 24.3750i | 1.07535 | + | 0.871092i | ||||
\(784\) | −5.36278 | − | 9.28860i | −0.191528 | − | 0.331736i | ||||
\(785\) | 4.20727 | − | 0.997142i | 0.150164 | − | 0.0355895i | ||||
\(786\) | −10.1561 | + | 0.452745i | −0.362257 | + | 0.0161489i | ||||
\(787\) | 18.7985 | − | 9.44095i | 0.670094 | − | 0.336534i | −0.0810145 | − | 0.996713i | \(-0.525816\pi\) |
0.751108 | + | 0.660179i | \(0.229520\pi\) | |||||||
\(788\) | −3.30582 | + | 7.66374i | −0.117765 | + | 0.273010i | ||||
\(789\) | 26.2284 | + | 1.88661i | 0.933756 | + | 0.0671650i | ||||
\(790\) | −1.59169 | − | 27.3283i | −0.0566298 | − | 0.972296i | ||||
\(791\) | −6.43125 | − | 36.4734i | −0.228669 | − | 1.29685i | ||||
\(792\) | 8.06198 | + | 7.14814i | 0.286470 | + | 0.253998i | ||||
\(793\) | −11.3059 | + | 64.1189i | −0.401484 | + | 2.27693i | ||||
\(794\) | −3.65445 | − | 0.427144i | −0.129691 | − | 0.0151588i | ||||
\(795\) | 40.0834 | + | 23.8764i | 1.42161 | + | 0.846808i | ||||
\(796\) | −2.00444 | − | 6.69530i | −0.0710456 | − | 0.237309i | ||||
\(797\) | −37.7781 | − | 8.95358i | −1.33817 | − | 0.317152i | −0.501642 | − | 0.865075i | \(-0.667270\pi\) |
−0.836529 | + | 0.547923i | \(0.815419\pi\) | |||||||
\(798\) | −12.2070 | − | 35.0161i | −0.432123 | − | 1.23956i | ||||
\(799\) | −0.549789 | − | 1.27455i | −0.0194501 | − | 0.0450905i | ||||
\(800\) | 0.0783375 | + | 0.0657330i | 0.00276965 | + | 0.00232401i | ||||
\(801\) | 2.50394 | − | 1.17319i | 0.0884724 | − | 0.0414528i | ||||
\(802\) | 16.1152 | − | 13.5222i | 0.569047 | − | 0.477487i | ||||
\(803\) | −19.5425 | − | 9.81459i | −0.689638 | − | 0.346349i | ||||
\(804\) | −0.991258 | − | 9.61551i | −0.0349590 | − | 0.339113i | ||||
\(805\) | −2.76824 | + | 0.323561i | −0.0975676 | + | 0.0114040i | ||||
\(806\) | −2.06341 | + | 35.4274i | −0.0726805 | + | 1.24788i | ||||
\(807\) | 14.9112 | − | 6.19241i | 0.524898 | − | 0.217983i | ||||
\(808\) | −4.92189 | − | 5.21690i | −0.173151 | − | 0.183530i | ||||
\(809\) | 50.0409 | 1.75934 | 0.879672 | − | 0.475582i | \(-0.157762\pi\) | ||||
0.879672 | + | 0.475582i | \(0.157762\pi\) | |||||||
\(810\) | −7.02298 | − | 19.0778i | −0.246762 | − | 0.670324i | ||||
\(811\) | −54.6982 | −1.92071 | −0.960357 | − | 0.278772i | \(-0.910073\pi\) | ||||
−0.960357 | + | 0.278772i | \(0.910073\pi\) | |||||||
\(812\) | 21.5318 | + | 22.8224i | 0.755620 | + | 0.800910i | ||||
\(813\) | −24.3385 | − | 18.6402i | −0.853588 | − | 0.653740i | ||||
\(814\) | 0.644545 | − | 11.0664i | 0.0225913 | − | 0.387877i | ||||
\(815\) | 22.6136 | − | 2.64315i | 0.792119 | − | 0.0925854i | ||||
\(816\) | −2.19724 | − | 0.983525i | −0.0769187 | − | 0.0344303i | ||||
\(817\) | 12.6376 | + | 6.34683i | 0.442133 | + | 0.222048i | ||||
\(818\) | −1.40967 | + | 1.18285i | −0.0492879 | + | 0.0413574i | ||||
\(819\) | 31.8621 | + | 45.3269i | 1.11335 | + | 1.58385i | ||||
\(820\) | −12.7864 | − | 10.7290i | −0.446519 | − | 0.374674i | ||||
\(821\) | 0.388465 | + | 0.900563i | 0.0135575 | + | 0.0314299i | 0.924860 | − | 0.380307i | \(-0.124182\pi\) |
−0.911303 | + | 0.411737i | \(0.864922\pi\) | |||||||
\(822\) | 3.34307 | − | 3.87560i | 0.116603 | − | 0.135177i | ||||
\(823\) | 35.2778 | + | 8.36098i | 1.22971 | + | 0.291446i | 0.793594 | − | 0.608447i | \(-0.208207\pi\) |
0.436111 | + | 0.899893i | \(0.356355\pi\) | |||||||
\(824\) | −1.56661 | − | 5.23285i | −0.0545756 | − | 0.182295i | ||||
\(825\) | −0.555200 | + | 0.310534i | −0.0193296 | + | 0.0108114i | ||||
\(826\) | 38.7038 | + | 4.52383i | 1.34668 | + | 0.157404i | ||||
\(827\) | −6.39025 | + | 36.2409i | −0.222211 | + | 1.26022i | 0.645735 | + | 0.763561i | \(0.276551\pi\) |
−0.867946 | + | 0.496658i | \(0.834560\pi\) | |||||||
\(828\) | 0.129018 | + | 0.869687i | 0.00448368 | + | 0.0302237i | ||||
\(829\) | −4.86496 | − | 27.5906i | −0.168967 | − | 0.958260i | −0.944879 | − | 0.327419i | \(-0.893821\pi\) |
0.775912 | − | 0.630841i | \(-0.217290\pi\) | |||||||
\(830\) | −0.407027 | − | 6.98838i | −0.0141281 | − | 0.242570i | ||||
\(831\) | 13.9574 | + | 28.7622i | 0.484176 | + | 0.997751i | ||||
\(832\) | −1.73744 | + | 4.02785i | −0.0602351 | + | 0.139641i | ||||
\(833\) | −13.3214 | + | 6.69028i | −0.461561 | + | 0.231804i | ||||
\(834\) | −12.2500 | + | 23.5847i | −0.424181 | + | 0.816670i | ||||
\(835\) | −35.9562 | + | 8.52179i | −1.24432 | + | 0.294909i | ||||
\(836\) | 9.13190 | + | 15.8169i | 0.315833 | + | 0.547039i | ||||
\(837\) | −34.7164 | + | 23.7033i | −1.19997 | + | 0.819306i | ||||
\(838\) | −6.46045 | + | 11.1898i | −0.223172 | + | 0.386546i | ||||
\(839\) | −5.67554 | + | 18.9576i | −0.195941 | + | 0.654490i | 0.802393 | + | 0.596796i | \(0.203560\pi\) |
−0.998334 | + | 0.0576936i | \(0.981625\pi\) | |||||||
\(840\) | −3.57988 | − | 16.0781i | −0.123518 | − | 0.554748i | ||||
\(841\) | −22.1741 | − | 14.5842i | −0.764626 | − | 0.502902i | ||||
\(842\) | −7.46783 | − | 10.0310i | −0.257358 | − | 0.345692i | ||||
\(843\) | −0.866988 | − | 0.840586i | −0.0298606 | − | 0.0289513i | ||||
\(844\) | 4.87971 | − | 3.20943i | 0.167966 | − | 0.110473i | ||||
\(845\) | 13.2499 | + | 4.82256i | 0.455809 | + | 0.165901i | ||||
\(846\) | −2.63981 | − | 1.41714i | −0.0907584 | − | 0.0487222i | ||||
\(847\) | −7.51312 | + | 2.73455i | −0.258154 | + | 0.0939603i | ||||
\(848\) | 7.12120 | − | 9.56544i | 0.244543 | − | 0.328478i | ||||
\(849\) | 14.2548 | + | 17.4662i | 0.489223 | + | 0.599438i | ||||
\(850\) | 0.0975361 | − | 0.103382i | 0.00334546 | − | 0.00354598i | ||||
\(851\) | 0.620739 | − | 0.657945i | 0.0212787 | − | 0.0225541i | ||||
\(852\) | 6.99065 | + | 8.56554i | 0.239496 | + | 0.293450i | ||||
\(853\) | 33.4731 | − | 44.9621i | 1.14610 | − | 1.53947i | 0.347422 | − | 0.937709i | \(-0.387057\pi\) |
0.798673 | − | 0.601765i | \(-0.205536\pi\) | |||||||
\(854\) | −58.7208 | + | 21.3726i | −2.00939 | + | 0.731356i | ||||
\(855\) | −1.06534 | − | 34.4435i | −0.0364340 | − | 1.17794i | ||||
\(856\) | −12.9936 | − | 4.72928i | −0.444112 | − | 0.161643i | ||||
\(857\) | 12.2657 | − | 8.06725i | 0.418987 | − | 0.275572i | −0.322461 | − | 0.946583i | \(-0.604510\pi\) |
0.741448 | + | 0.671011i | \(0.234140\pi\) | |||||||
\(858\) | −19.5913 | − | 18.9948i | −0.668838 | − | 0.648470i | ||||
\(859\) | 15.5428 | + | 20.8776i | 0.530314 | + | 0.712336i | 0.983869 | − | 0.178893i | \(-0.0572516\pi\) |
−0.453554 | + | 0.891229i | \(0.649844\pi\) | |||||||
\(860\) | 5.24825 | + | 3.45183i | 0.178964 | + | 0.117706i | ||||
\(861\) | 11.7111 | + | 52.5976i | 0.399115 | + | 1.79252i | ||||
\(862\) | 1.34547 | − | 4.49419i | 0.0458270 | − | 0.153073i | ||||
\(863\) | −0.842177 | + | 1.45869i | −0.0286680 | + | 0.0496545i | −0.880003 | − | 0.474967i | \(-0.842460\pi\) |
0.851335 | + | 0.524622i | \(0.175793\pi\) | |||||||
\(864\) | −5.03461 | + | 1.28556i | −0.171281 | + | 0.0437356i | ||||
\(865\) | −24.1989 | − | 41.9137i | −0.822788 | − | 1.42511i | ||||
\(866\) | −21.7950 | + | 5.16552i | −0.740626 | + | 0.175532i | ||||
\(867\) | 12.0300 | − | 23.1611i | 0.408560 | − | 0.786594i | ||||
\(868\) | −30.4372 | + | 15.2861i | −1.03311 | + | 0.518845i | ||||
\(869\) | 17.2396 | − | 39.9659i | 0.584814 | − | 1.35575i | ||||
\(870\) | 12.7294 | + | 26.2318i | 0.431568 | + | 0.889340i | ||||
\(871\) | 1.42346 | + | 24.4399i | 0.0482323 | + | 0.828116i | ||||
\(872\) | 2.95921 | + | 16.7825i | 0.100212 | + | 0.568328i | ||||
\(873\) | −5.20828 | − | 2.05808i | −0.176274 | − | 0.0696555i | ||||
\(874\) | −0.258792 | + | 1.46768i | −0.00875378 | + | 0.0496451i | ||||
\(875\) | −46.2626 | − | 5.40733i | −1.56396 | − | 0.182801i | ||||
\(876\) | 9.20442 | − | 5.14821i | 0.310989 | − | 0.173942i | ||||
\(877\) | −9.28469 | − | 31.0130i | −0.313522 | − | 1.04724i | −0.958988 | − | 0.283447i | \(-0.908522\pi\) |
0.645466 | − | 0.763789i | \(-0.276663\pi\) | |||||||
\(878\) | 2.30516 | + | 0.546334i | 0.0777955 | + | 0.0184379i | ||||
\(879\) | 33.7599 | − | 39.1376i | 1.13869 | − | 1.32008i | ||||
\(880\) | 3.21324 | + | 7.44912i | 0.108318 | + | 0.251110i | ||||
\(881\) | 20.1576 | + | 16.9142i | 0.679125 | + | 0.569854i | 0.915751 | − | 0.401747i | \(-0.131597\pi\) |
−0.236625 | + | 0.971601i | \(0.576041\pi\) | |||||||
\(882\) | −13.5450 | + | 29.1868i | −0.456084 | + | 0.982771i | ||||
\(883\) | 11.0829 | − | 9.29968i | 0.372970 | − | 0.312959i | −0.436965 | − | 0.899479i | \(-0.643947\pi\) |
0.809935 | + | 0.586519i | \(0.199502\pi\) | |||||||
\(884\) | 5.44829 | + | 2.73623i | 0.183246 | + | 0.0920294i | ||||
\(885\) | 33.0511 | + | 14.7943i | 1.11100 | + | 0.497305i | ||||
\(886\) | 21.8382 | − | 2.55252i | 0.733670 | − | 0.0857537i | ||||
\(887\) | −0.798336 | + | 13.7069i | −0.0268055 | + | 0.460233i | 0.958022 | + | 0.286695i | \(0.0925567\pi\) |
−0.984827 | + | 0.173537i | \(0.944480\pi\) | |||||||
\(888\) | 4.24420 | + | 3.25052i | 0.142426 | + | 0.109080i | ||||
\(889\) | −59.4612 | − | 63.0252i | −1.99427 | − | 2.11380i | ||||
\(890\) | 2.08200 | 0.0697887 | ||||||||
\(891\) | 3.63493 | − | 32.1187i | 0.121775 | − | 1.07602i | ||||
\(892\) | 10.6989 | 0.358227 | ||||||||
\(893\) | −3.48522 | − | 3.69412i | −0.116628 | − | 0.123619i | ||||
\(894\) | −21.7541 | + | 9.03420i | −0.727567 | + | 0.302149i | ||||
\(895\) | 1.12792 | − | 19.3656i | 0.0377021 | − | 0.647320i | ||||
\(896\) | −4.18171 | + | 0.488771i | −0.139701 | + | 0.0163287i | ||||
\(897\) | −0.228337 | − | 2.21494i | −0.00762396 | − | 0.0739547i | ||||
\(898\) | 6.10553 | + | 3.06631i | 0.203744 | + | 0.102324i | ||||
\(899\) | 46.1853 | − | 38.7541i | 1.54037 | − | 1.29252i | ||||
\(900\) | 0.0261785 | − | 0.305668i | 0.000872616 | − | 0.0101889i | ||||
\(901\) | −12.6967 | − | 10.6538i | −0.422988 | − | 0.354929i | ||||
\(902\) | −10.5117 | − | 24.3689i | −0.350002 | − | 0.811395i | ||||
\(903\) | −6.67559 | − | 19.1491i | −0.222150 | − | 0.637242i | ||||
\(904\) | −8.55969 | − | 2.02868i | −0.284691 | − | 0.0674730i | ||||
\(905\) | −0.120510 | − | 0.402532i | −0.00400590 | − | 0.0133806i | ||||
\(906\) | 6.49545 | + | 3.86913i | 0.215797 | + | 0.128543i | ||||
\(907\) | 32.0351 | + | 3.74437i | 1.06371 | + | 0.124330i | 0.629901 | − | 0.776675i | \(-0.283095\pi\) |
0.433808 | + | 0.901005i | \(0.357170\pi\) | |||||||
\(908\) | 0.668809 | − | 3.79301i | 0.0221952 | − | 0.125875i | ||||
\(909\) | −4.31246 | + | 21.0801i | −0.143035 | + | 0.699184i | ||||
\(910\) | 7.24403 | + | 41.0829i | 0.240137 | + | 1.36189i | ||||
\(911\) | −0.251262 | − | 4.31400i | −0.00832468 | − | 0.142929i | −0.999909 | − | 0.0134690i | \(-0.995713\pi\) |
0.991585 | − | 0.129460i | \(-0.0413245\pi\) | |||||||
\(912\) | −8.78521 | − | 0.631920i | −0.290907 | − | 0.0209250i | ||||
\(913\) | 4.40851 | − | 10.2201i | 0.145900 | − | 0.338235i | ||||
\(914\) | −21.5544 | + | 10.8250i | −0.712955 | + | 0.358059i | ||||
\(915\) | −58.0119 | + | 2.58608i | −1.91782 | + | 0.0854933i | ||||
\(916\) | 13.9281 | − | 3.30101i | 0.460196 | − | 0.109068i | ||||
\(917\) | 12.3557 | + | 21.4008i | 0.408022 | + | 0.706715i | ||||
\(918\) | 1.37687 | + | 7.08948i | 0.0454434 | + | 0.233988i | ||||
\(919\) | −17.2478 | + | 29.8741i | −0.568954 | + | 0.985457i | 0.427716 | + | 0.903913i | \(0.359318\pi\) |
−0.996670 | + | 0.0815437i | \(0.974015\pi\) | |||||||
\(920\) | −0.189860 | + | 0.634178i | −0.00625951 | + | 0.0209082i | ||||
\(921\) | −9.68147 | − | 3.04281i | −0.319015 | − | 0.100264i | ||||
\(922\) | −19.9770 | − | 13.1391i | −0.657906 | − | 0.432712i | ||||
\(923\) | −16.7209 | − | 22.4601i | −0.550375 | − | 0.739282i | ||||
\(924\) | 6.38663 | − | 25.3996i | 0.210105 | − | 0.835585i | ||||
\(925\) | −0.263706 | + | 0.173442i | −0.00867059 | + | 0.00570273i | ||||
\(926\) | 1.09381 | + | 0.398114i | 0.0359448 | + | 0.0130828i | ||||
\(927\) | −10.1402 | + | 12.8728i | −0.333049 | + | 0.422798i | ||||
\(928\) | 7.00310 | − | 2.54892i | 0.229888 | − | 0.0836724i | ||||
\(929\) | 15.3470 | − | 20.6147i | 0.503520 | − | 0.676345i | −0.475592 | − | 0.879666i | \(-0.657766\pi\) |
0.979112 | + | 0.203321i | \(0.0651735\pi\) | |||||||
\(930\) | −31.2422 | + | 5.07084i | −1.02447 | + | 0.166279i | ||||
\(931\) | −37.4291 | + | 39.6725i | −1.22669 | + | 1.30021i | ||||
\(932\) | 11.6810 | − | 12.3812i | 0.382625 | − | 0.405559i | ||||
\(933\) | 4.39338 | − | 11.5773i | 0.143833 | − | 0.379024i | ||||
\(934\) | 18.9772 | − | 25.4908i | 0.620952 | − | 0.834083i | ||||
\(935\) | 10.5954 | − | 3.85642i | 0.346507 | − | 0.126118i | ||||
\(936\) | 12.8830 | − | 2.68475i | 0.421095 | − | 0.0877536i | ||||
\(937\) | 39.3886 | + | 14.3363i | 1.28677 | + | 0.468346i | 0.892665 | − | 0.450720i | \(-0.148833\pi\) |
0.394104 | + | 0.919066i | \(0.371055\pi\) | |||||||
\(938\) | −19.6312 | + | 12.9117i | −0.640982 | + | 0.421581i | ||||
\(939\) | 20.8957 | − | 5.94670i | 0.681905 | − | 0.194063i | ||||
\(940\) | −1.34714 | − | 1.80952i | −0.0439388 | − | 0.0590200i | ||||
\(941\) | 42.5340 | + | 27.9751i | 1.38657 | + | 0.911961i | 0.999947 | − | 0.0102765i | \(-0.00327116\pi\) |
0.386623 | + | 0.922238i | \(0.373642\pi\) | |||||||
\(942\) | −2.44238 | + | 2.24215i | −0.0795770 | + | 0.0730531i | ||||
\(943\) | 0.621105 | − | 2.07463i | 0.0202259 | − | 0.0675594i | ||||
\(944\) | 4.62776 | − | 8.01551i | 0.150621 | − | 0.260883i | ||||
\(945\) | −33.2844 | + | 36.5245i | −1.08274 | + | 1.18814i | ||||
\(946\) | 4.99392 | + | 8.64972i | 0.162366 | + | 0.281227i | ||||
\(947\) | −9.34596 | + | 2.21503i | −0.303703 | + | 0.0719789i | −0.379642 | − | 0.925134i | \(-0.623953\pi\) |
0.0759389 | + | 0.997112i | \(0.475805\pi\) | |||||||
\(948\) | 11.2945 | + | 17.6930i | 0.366828 | + | 0.574643i | ||||
\(949\) | −23.8687 | + | 11.9873i | −0.774811 | + | 0.389125i | ||||
\(950\) | 0.205973 | − | 0.477500i | 0.00668265 | − | 0.0154921i | ||||
\(951\) | −15.1538 | + | 22.3701i | −0.491395 | + | 0.725400i | ||||
\(952\) | 0.340239 | + | 5.84167i | 0.0110272 | + | 0.189330i | ||||
\(953\) | 9.84823 | + | 55.8521i | 0.319016 | + | 1.80923i | 0.548765 | + | 0.835977i | \(0.315098\pi\) |
−0.229749 | + | 0.973250i | \(0.573791\pi\) | |||||||
\(954\) | −35.7622 | − | 0.975021i | −1.15784 | − | 0.0315675i | ||||
\(955\) | 2.88062 | − | 16.3368i | 0.0932148 | − | 0.528648i | ||||
\(956\) | 8.35958 | + | 0.977095i | 0.270368 | + | 0.0316015i | ||||
\(957\) | −0.631805 | + | 46.3557i | −0.0204234 | + | 1.49847i | ||||
\(958\) | 0.183667 | + | 0.613489i | 0.00593400 | + | 0.0198209i | ||||
\(959\) | −12.1058 | − | 2.86912i | −0.390916 | − | 0.0926488i | ||||
\(960\) | −3.84333 | − | 0.731825i | −0.124043 | − | 0.0236196i | ||||
\(961\) | 13.6439 | + | 31.6301i | 0.440125 | + | 1.02032i | ||||
\(962\) | −10.3716 | − | 8.70280i | −0.334394 | − | 0.280590i | ||||
\(963\) | 10.8098 | + | 40.0492i | 0.348341 | + | 1.29057i | ||||
\(964\) | 11.1351 | − | 9.34345i | 0.358637 | − | 0.300932i | ||||
\(965\) | −0.986662 | − | 0.495520i | −0.0317618 | − | 0.0159514i | ||||
\(966\) | 1.73147 | − | 1.25272i | 0.0557091 | − | 0.0403056i | ||||
\(967\) | 6.86507 | − | 0.802411i | 0.220766 | − | 0.0258038i | −0.00499090 | − | 0.999988i | \(-0.501589\pi\) |
0.225757 | + | 0.974184i | \(0.427515\pi\) | |||||||
\(968\) | −0.110420 | + | 1.89583i | −0.00354902 | + | 0.0609343i | ||||
\(969\) | −1.58676 | + | 12.1385i | −0.0509741 | + | 0.389946i | ||||
\(970\) | −2.89360 | − | 3.06704i | −0.0929079 | − | 0.0984766i | ||||
\(971\) | −35.2400 | −1.13090 | −0.565452 | − | 0.824781i | \(-0.691298\pi\) | ||||
−0.565452 | + | 0.824781i | \(0.691298\pi\) | |||||||
\(972\) | 11.8410 | + | 10.1386i | 0.379800 | + | 0.325195i | ||||
\(973\) | 64.6001 | 2.07098 | ||||||||
\(974\) | 22.0731 | + | 23.3961i | 0.707268 | + | 0.749660i | ||||
\(975\) | −0.100710 | + | 0.770417i | −0.00322529 | + | 0.0246731i | ||||
\(976\) | −0.863013 | + | 14.8174i | −0.0276244 | + | 0.474292i | ||||
\(977\) | 36.1441 | − | 4.22464i | 1.15635 | − | 0.135158i | 0.483779 | − | 0.875190i | \(-0.339264\pi\) |
0.672572 | + | 0.740032i | \(0.265190\pi\) | |||||||
\(978\) | −14.1443 | + | 10.2334i | −0.452284 | + | 0.327228i | ||||
\(979\) | 2.95826 | + | 1.48569i | 0.0945464 | + | 0.0474830i | ||||
\(980\) | −18.5590 | + | 15.5729i | −0.592846 | + | 0.497457i | ||||
\(981\) | 36.0840 | − | 36.2164i | 1.15207 | − | 1.15630i | ||||
\(982\) | 9.53488 | + | 8.00072i | 0.304270 | + | 0.255313i | ||||
\(983\) | −7.89948 | − | 18.3131i | −0.251954 | − | 0.584096i | 0.744557 | − | 0.667559i | \(-0.232661\pi\) |
−0.996511 | + | 0.0834638i | \(0.973402\pi\) | |||||||
\(984\) | 12.5730 | + | 2.39408i | 0.400812 | + | 0.0763203i | ||||
\(985\) | 18.3447 | + | 4.34777i | 0.584510 | + | 0.138531i | ||||
\(986\) | −2.97071 | − | 9.92288i | −0.0946068 | − | 0.316009i | ||||
\(987\) | −0.0992524 | + | 7.28217i | −0.00315924 | + | 0.231794i | ||||
\(988\) | 22.1561 | + | 2.58968i | 0.704881 | + | 0.0823887i | ||||
\(989\) | −0.141525 | + | 0.802626i | −0.00450022 | + | 0.0255220i | ||||
\(990\) | 12.7388 | − | 20.7377i | 0.404866 | − | 0.659087i | ||||
\(991\) | −1.25994 | − | 7.14550i | −0.0400235 | − | 0.226984i | 0.958235 | − | 0.285983i | \(-0.0923202\pi\) |
−0.998258 | + | 0.0589991i | \(0.981209\pi\) | |||||||
\(992\) | 0.470389 | + | 8.07626i | 0.0149349 | + | 0.256422i | ||||
\(993\) | 32.6720 | − | 48.2306i | 1.03681 | − | 1.53055i | ||||
\(994\) | 10.6445 | − | 24.6767i | 0.337622 | − | 0.782696i | ||||
\(995\) | −14.1075 | + | 7.08505i | −0.447238 | + | 0.224611i | ||||
\(996\) | 2.88823 | + | 4.52446i | 0.0915170 | + | 0.143363i | ||||
\(997\) | −23.0031 | + | 5.45182i | −0.728514 | + | 0.172661i | −0.578104 | − | 0.815963i | \(-0.696207\pi\) |
−0.150410 | + | 0.988624i | \(0.548059\pi\) | |||||||
\(998\) | 3.45068 | + | 5.97675i | 0.109229 | + | 0.189191i | ||||
\(999\) | 0.655539 | − | 16.0244i | 0.0207403 | − | 0.506990i |
(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 | 162.2.g.b.103.2 | ✓ | 90 | |
3.2 | odd | 2 | 486.2.g.b.199.1 | 90 | |||
81.11 | odd | 54 | 486.2.g.b.127.1 | 90 | |||
81.70 | even | 27 | inner | 162.2.g.b.151.2 | yes | 90 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.2.g.b.103.2 | ✓ | 90 | 1.1 | even | 1 | trivial | |
162.2.g.b.151.2 | yes | 90 | 81.70 | even | 27 | inner | |
486.2.g.b.127.1 | 90 | 81.11 | odd | 54 | |||
486.2.g.b.199.1 | 90 | 3.2 | odd | 2 |