Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 23.6 | ||
Character | \(\chi\) | \(=\) | 177.23 |
Dual form | 177.2.f.a.77.6 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{15}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.703454 | + | 0.666347i | −0.497417 | + | 0.471179i | −0.894796 | − | 0.446476i | \(-0.852679\pi\) |
0.397378 | + | 0.917655i | \(0.369920\pi\) | |||||||
\(3\) | −1.32443 | − | 1.11619i | −0.764661 | − | 0.644433i | ||||
\(4\) | −0.0574486 | + | 1.05958i | −0.0287243 | + | 0.529788i | ||||
\(5\) | 0.383857 | + | 0.0629301i | 0.171666 | + | 0.0281432i | 0.247002 | − | 0.969015i | \(-0.420555\pi\) |
−0.0753359 | + | 0.997158i | \(0.524003\pi\) | |||||||
\(6\) | 1.67545 | − | 0.0973420i | 0.683999 | − | 0.0397397i | ||||
\(7\) | −0.729572 | + | 1.37612i | −0.275752 | + | 0.520124i | −0.982246 | − | 0.187595i | \(-0.939931\pi\) |
0.706494 | + | 0.707719i | \(0.250276\pi\) | |||||||
\(8\) | −1.92021 | − | 2.26064i | −0.678895 | − | 0.799257i | ||||
\(9\) | 0.508236 | + | 2.95664i | 0.169412 | + | 0.985545i | ||||
\(10\) | −0.311959 | + | 0.211513i | −0.0986501 | + | 0.0668864i | ||||
\(11\) | −2.37748 | + | 0.258567i | −0.716837 | + | 0.0779607i | −0.459266 | − | 0.888299i | \(-0.651888\pi\) |
−0.257571 | + | 0.966259i | \(0.582922\pi\) | |||||||
\(12\) | 1.25878 | − | 1.33921i | 0.363377 | − | 0.386597i | ||||
\(13\) | −2.83962 | + | 6.13774i | −0.787569 | + | 1.70230i | −0.0787687 | + | 0.996893i | \(0.525099\pi\) |
−0.708800 | + | 0.705409i | \(0.750763\pi\) | |||||||
\(14\) | −0.403753 | − | 1.45419i | −0.107907 | − | 0.388647i | ||||
\(15\) | −0.438150 | − | 0.511804i | −0.113130 | − | 0.132147i | ||||
\(16\) | 0.747324 | + | 0.0812764i | 0.186831 | + | 0.0203191i | ||||
\(17\) | −5.86001 | + | 3.10678i | −1.42126 | + | 0.753505i | −0.988954 | − | 0.148221i | \(-0.952645\pi\) |
−0.432307 | + | 0.901726i | \(0.642300\pi\) | |||||||
\(18\) | −2.32767 | − | 1.74120i | −0.548637 | − | 0.410404i | ||||
\(19\) | 4.92825 | − | 2.96523i | 1.13062 | − | 0.680270i | 0.177877 | − | 0.984053i | \(-0.443077\pi\) |
0.952741 | + | 0.303782i | \(0.0982496\pi\) | |||||||
\(20\) | −0.0887313 | + | 0.403110i | −0.0198409 | + | 0.0901382i | ||||
\(21\) | 2.50228 | − | 1.00823i | 0.546042 | − | 0.220015i | ||||
\(22\) | 1.50015 | − | 1.76612i | 0.319834 | − | 0.376538i | ||||
\(23\) | 2.59272 | + | 6.50724i | 0.540620 | + | 1.35685i | 0.904924 | + | 0.425574i | \(0.139928\pi\) |
−0.364304 | + | 0.931280i | \(0.618693\pi\) | |||||||
\(24\) | 0.0198739 | + | 5.13738i | 0.00405675 | + | 1.04866i | ||||
\(25\) | −4.59488 | − | 1.54820i | −0.918976 | − | 0.309639i | ||||
\(26\) | −2.09232 | − | 6.20979i | −0.410338 | − | 1.21784i | ||||
\(27\) | 2.62705 | − | 4.48315i | 0.505575 | − | 0.862783i | ||||
\(28\) | −1.41619 | − | 0.852094i | −0.267635 | − | 0.161031i | ||||
\(29\) | 1.89426 | − | 1.99975i | 0.351756 | − | 0.371344i | −0.525973 | − | 0.850501i | \(-0.676299\pi\) |
0.877729 | + | 0.479157i | \(0.159057\pi\) | |||||||
\(30\) | 0.649258 | + | 0.0680707i | 0.118538 | + | 0.0124280i | ||||
\(31\) | 4.19065 | − | 6.96492i | 0.752663 | − | 1.25094i | −0.209325 | − | 0.977846i | \(-0.567127\pi\) |
0.961989 | − | 0.273090i | \(-0.0880457\pi\) | |||||||
\(32\) | 4.14270 | − | 3.14920i | 0.732333 | − | 0.556705i | ||||
\(33\) | 3.43742 | + | 2.31127i | 0.598378 | + | 0.402340i | ||||
\(34\) | 2.05206 | − | 6.09028i | 0.351925 | − | 1.04447i | ||||
\(35\) | −0.366650 | + | 0.482320i | −0.0619752 | + | 0.0815270i | ||||
\(36\) | −3.16198 | + | 0.368661i | −0.526997 | + | 0.0614435i | ||||
\(37\) | 3.34683 | + | 2.84282i | 0.550215 | + | 0.467357i | 0.878849 | − | 0.477101i | \(-0.158312\pi\) |
−0.328634 | + | 0.944457i | \(0.606588\pi\) | |||||||
\(38\) | −1.49093 | + | 5.36983i | −0.241860 | + | 0.871102i | ||||
\(39\) | 10.6118 | − | 4.95945i | 1.69924 | − | 0.794148i | ||||
\(40\) | −0.594821 | − | 0.988601i | −0.0940495 | − | 0.156311i | ||||
\(41\) | −4.48996 | − | 1.78897i | −0.701215 | − | 0.279389i | −0.00784256 | − | 0.999969i | \(-0.502496\pi\) |
−0.693372 | + | 0.720580i | \(0.743876\pi\) | |||||||
\(42\) | −1.08841 | + | 2.37663i | −0.167945 | + | 0.366722i | ||||
\(43\) | −0.462789 | + | 4.25528i | −0.0705747 | + | 0.648924i | 0.904412 | + | 0.426660i | \(0.140310\pi\) |
−0.974987 | + | 0.222263i | \(0.928656\pi\) | |||||||
\(44\) | −0.137388 | − | 2.53398i | −0.0207121 | − | 0.382011i | ||||
\(45\) | 0.00902850 | + | 1.16691i | 0.00134589 | + | 0.173952i | ||||
\(46\) | −6.15995 | − | 2.84989i | −0.908235 | − | 0.420194i | ||||
\(47\) | −0.416590 | − | 2.54109i | −0.0607659 | − | 0.370656i | −0.999651 | − | 0.0264244i | \(-0.991588\pi\) |
0.938885 | − | 0.344231i | \(-0.111860\pi\) | |||||||
\(48\) | −0.899060 | − | 0.941802i | −0.129768 | − | 0.135937i | ||||
\(49\) | 2.56688 | + | 3.78587i | 0.366697 | + | 0.540838i | ||||
\(50\) | 4.26392 | − | 1.97270i | 0.603010 | − | 0.278982i | ||||
\(51\) | 11.2289 | + | 2.42617i | 1.57237 | + | 0.339732i | ||||
\(52\) | −6.34027 | − | 3.36140i | −0.879237 | − | 0.466142i | ||||
\(53\) | 5.01330 | + | 3.39910i | 0.688630 | + | 0.466903i | 0.854640 | − | 0.519221i | \(-0.173778\pi\) |
−0.166010 | + | 0.986124i | \(0.553088\pi\) | |||||||
\(54\) | 1.13933 | + | 4.90422i | 0.155043 | + | 0.667379i | ||||
\(55\) | −0.928883 | − | 0.0503626i | −0.125251 | − | 0.00679089i | ||||
\(56\) | 4.51184 | − | 0.993131i | 0.602920 | − | 0.132713i | ||||
\(57\) | −9.83689 | − | 1.57362i | −1.30293 | − | 0.208432i | ||||
\(58\) | 2.66897i | 0.350453i | ||||||||
\(59\) | 2.66206 | + | 7.20510i | 0.346571 | + | 0.938024i | ||||
\(60\) | 0.567466 | − | 0.434851i | 0.0732596 | − | 0.0561390i | ||||
\(61\) | −2.11840 | − | 2.23637i | −0.271233 | − | 0.286337i | 0.576122 | − | 0.817364i | \(-0.304565\pi\) |
−0.847355 | + | 0.531026i | \(0.821807\pi\) | |||||||
\(62\) | 1.69312 | + | 7.69193i | 0.215027 | + | 0.976876i | ||||
\(63\) | −4.43948 | − | 1.45769i | −0.559322 | − | 0.183651i | ||||
\(64\) | −1.05897 | + | 6.45945i | −0.132372 | + | 0.807431i | ||||
\(65\) | −1.47626 | + | 2.17731i | −0.183107 | + | 0.270063i | ||||
\(66\) | −3.95817 | + | 0.664644i | −0.487218 | + | 0.0818120i | ||||
\(67\) | 2.81723 | − | 2.39298i | 0.344179 | − | 0.292349i | −0.458578 | − | 0.888654i | \(-0.651641\pi\) |
0.802758 | + | 0.596305i | \(0.203365\pi\) | |||||||
\(68\) | −2.95522 | − | 6.38761i | −0.358373 | − | 0.774612i | ||||
\(69\) | 3.82944 | − | 11.5124i | 0.461011 | − | 1.38593i | ||||
\(70\) | −0.0634711 | − | 0.583607i | −0.00758624 | − | 0.0697544i | ||||
\(71\) | −2.93880 | + | 0.481792i | −0.348771 | + | 0.0571781i | −0.333622 | − | 0.942707i | \(-0.608271\pi\) |
−0.0151497 | + | 0.999885i | \(0.504822\pi\) | |||||||
\(72\) | 5.70797 | − | 6.82629i | 0.672691 | − | 0.804486i | ||||
\(73\) | 1.02872 | − | 0.285621i | 0.120402 | − | 0.0334295i | −0.206805 | − | 0.978382i | \(-0.566306\pi\) |
0.327207 | + | 0.944953i | \(0.393893\pi\) | |||||||
\(74\) | −4.24864 | + | 0.230355i | −0.493895 | + | 0.0267782i | ||||
\(75\) | 4.35752 | + | 7.17924i | 0.503163 | + | 0.828987i | ||||
\(76\) | 2.85877 | + | 5.39221i | 0.327923 | + | 0.618529i | ||||
\(77\) | 1.37872 | − | 3.46034i | 0.157120 | − | 0.394342i | ||||
\(78\) | −4.16018 | + | 10.5599i | −0.471047 | + | 1.19567i | ||||
\(79\) | −9.43087 | − | 2.07589i | −1.06106 | − | 0.233556i | −0.350042 | − | 0.936734i | \(-0.613833\pi\) |
−0.711014 | + | 0.703178i | \(0.751764\pi\) | |||||||
\(80\) | 0.281751 | + | 0.0782277i | 0.0315007 | + | 0.00874612i | ||||
\(81\) | −8.48339 | + | 3.00534i | −0.942599 | + | 0.333927i | ||||
\(82\) | 4.35056 | − | 1.73342i | 0.480439 | − | 0.191424i | ||||
\(83\) | −9.05934 | − | 6.88673i | −0.994392 | − | 0.755917i | −0.0245619 | − | 0.999698i | \(-0.507819\pi\) |
−0.969830 | + | 0.243781i | \(0.921612\pi\) | |||||||
\(84\) | 0.924548 | + | 2.70928i | 0.100876 | + | 0.295606i | ||||
\(85\) | −2.44491 | + | 0.823787i | −0.265188 | + | 0.0893523i | ||||
\(86\) | −2.50994 | − | 3.30177i | −0.270654 | − | 0.356039i | ||||
\(87\) | −4.74092 | + | 0.534172i | −0.508280 | + | 0.0572692i | ||||
\(88\) | 5.14978 | + | 4.87813i | 0.548968 | + | 0.520010i | ||||
\(89\) | 2.33866 | + | 2.21530i | 0.247898 | + | 0.234821i | 0.801551 | − | 0.597926i | \(-0.204008\pi\) |
−0.553654 | + | 0.832747i | \(0.686767\pi\) | |||||||
\(90\) | −0.783917 | − | 0.814850i | −0.0826321 | − | 0.0858928i | ||||
\(91\) | −6.37455 | − | 8.38558i | −0.668234 | − | 0.879047i | ||||
\(92\) | −7.04387 | + | 2.37336i | −0.734374 | + | 0.247439i | ||||
\(93\) | −13.3244 | + | 4.54699i | −1.38168 | + | 0.471501i | ||||
\(94\) | 1.98630 | + | 1.50995i | 0.204871 | + | 0.155739i | ||||
\(95\) | 2.07834 | − | 0.828088i | 0.213234 | − | 0.0849600i | ||||
\(96\) | −9.00183 | − | 0.453146i | −0.918745 | − | 0.0462490i | ||||
\(97\) | 4.04337 | + | 1.12263i | 0.410542 | + | 0.113986i | 0.466658 | − | 0.884438i | \(-0.345458\pi\) |
−0.0561163 | + | 0.998424i | \(0.517872\pi\) | |||||||
\(98\) | −4.32839 | − | 0.952750i | −0.437233 | − | 0.0962423i | ||||
\(99\) | −1.97281 | − | 6.89793i | −0.198275 | − | 0.693268i | ||||
\(100\) | 1.90440 | − | 4.77969i | 0.190440 | − | 0.477969i | ||||
\(101\) | 5.80859 | + | 10.9562i | 0.577976 | + | 1.09018i | 0.984309 | + | 0.176453i | \(0.0564624\pi\) |
−0.406333 | + | 0.913725i | \(0.633193\pi\) | |||||||
\(102\) | −9.51572 | + | 5.77568i | −0.942197 | + | 0.571877i | ||||
\(103\) | 1.89894 | − | 0.102958i | 0.187108 | − | 0.0101447i | 0.0396535 | − | 0.999213i | \(-0.487375\pi\) |
0.147455 | + | 0.989069i | \(0.452892\pi\) | |||||||
\(104\) | 19.3279 | − | 5.36636i | 1.89525 | − | 0.526215i | ||||
\(105\) | 1.02396 | − | 0.229548i | 0.0999287 | − | 0.0224016i | ||||
\(106\) | −5.79161 | + | 0.949487i | −0.562531 | + | 0.0922223i | ||||
\(107\) | 0.483969 | + | 4.45002i | 0.0467870 | + | 0.430200i | 0.993982 | + | 0.109542i | \(0.0349384\pi\) |
−0.947195 | + | 0.320658i | \(0.896096\pi\) | |||||||
\(108\) | 4.59932 | + | 3.04111i | 0.442570 | + | 0.292631i | ||||
\(109\) | 6.24919 | + | 13.5074i | 0.598564 | + | 1.29377i | 0.935859 | + | 0.352375i | \(0.114626\pi\) |
−0.337295 | + | 0.941399i | \(0.609512\pi\) | |||||||
\(110\) | 0.686986 | − | 0.583531i | 0.0655015 | − | 0.0556375i | ||||
\(111\) | −1.25951 | − | 7.50081i | −0.119548 | − | 0.711946i | ||||
\(112\) | −0.657073 | + | 0.969110i | −0.0620876 | + | 0.0915723i | ||||
\(113\) | 1.19179 | − | 7.26960i | 0.112114 | − | 0.683866i | −0.869636 | − | 0.493693i | \(-0.835647\pi\) |
0.981751 | − | 0.190173i | \(-0.0609050\pi\) | |||||||
\(114\) | 7.96839 | − | 5.44781i | 0.746308 | − | 0.510235i | ||||
\(115\) | 0.585732 | + | 2.66101i | 0.0546198 | + | 0.248140i | ||||
\(116\) | 2.01007 | + | 2.12200i | 0.186630 | + | 0.197023i | ||||
\(117\) | −19.5903 | − | 5.27630i | −1.81112 | − | 0.487794i | ||||
\(118\) | −6.67374 | − | 3.29460i | −0.614367 | − | 0.303292i | ||||
\(119\) | − | 10.3307i | − | 0.947013i | ||||||
\(120\) | −0.315667 | + | 1.97327i | −0.0288163 | + | 0.180134i | ||||
\(121\) | −5.15727 | + | 1.13520i | −0.468843 | + | 0.103200i | ||||
\(122\) | 2.98039 | + | 0.161592i | 0.269832 | + | 0.0146299i | ||||
\(123\) | 3.94982 | + | 7.38102i | 0.356143 | + | 0.665524i | ||||
\(124\) | 7.13912 | + | 4.84044i | 0.641112 | + | 0.434684i | ||||
\(125\) | −3.38469 | − | 1.79445i | −0.302736 | − | 0.160501i | ||||
\(126\) | 4.09429 | − | 1.93282i | 0.364749 | − | 0.172189i | ||||
\(127\) | −5.77967 | + | 2.67396i | −0.512863 | + | 0.237276i | −0.659212 | − | 0.751957i | \(-0.729110\pi\) |
0.146349 | + | 0.989233i | \(0.453248\pi\) | |||||||
\(128\) | 2.28130 | + | 3.36466i | 0.201640 | + | 0.297397i | ||||
\(129\) | 5.36263 | − | 5.11926i | 0.472154 | − | 0.450726i | ||||
\(130\) | −0.412369 | − | 2.51534i | −0.0361672 | − | 0.220610i | ||||
\(131\) | 12.5266 | + | 5.79540i | 1.09445 | + | 0.506346i | 0.882203 | − | 0.470870i | \(-0.156060\pi\) |
0.212247 | + | 0.977216i | \(0.431922\pi\) | |||||||
\(132\) | −2.64644 | + | 3.50943i | −0.230343 | + | 0.305457i | ||||
\(133\) | 0.484995 | + | 8.94521i | 0.0420544 | + | 0.775648i | ||||
\(134\) | −0.387239 | + | 3.56060i | −0.0334523 | + | 0.307589i | ||||
\(135\) | 1.29053 | − | 1.55557i | 0.111071 | − | 0.133882i | ||||
\(136\) | 18.2757 | + | 7.28172i | 1.56713 | + | 0.624402i | ||||
\(137\) | 8.08616 | + | 13.4393i | 0.690847 | + | 1.14820i | 0.981517 | + | 0.191373i | \(0.0612942\pi\) |
−0.290670 | + | 0.956823i | \(0.593878\pi\) | |||||||
\(138\) | 4.97740 | + | 10.6502i | 0.423704 | + | 0.906602i | ||||
\(139\) | 1.55168 | − | 5.58863i | 0.131611 | − | 0.474022i | −0.868140 | − | 0.496320i | \(-0.834684\pi\) |
0.999751 | + | 0.0222979i | \(0.00709823\pi\) | |||||||
\(140\) | −0.489992 | − | 0.416203i | −0.0414119 | − | 0.0351756i | ||||
\(141\) | −2.28459 | + | 3.83049i | −0.192397 | + | 0.322585i | ||||
\(142\) | 1.74627 | − | 2.29718i | 0.146544 | − | 0.192775i | ||||
\(143\) | 5.16413 | − | 15.3266i | 0.431846 | − | 1.28167i | ||||
\(144\) | 0.139513 | + | 2.25087i | 0.0116261 | + | 0.187573i | ||||
\(145\) | 0.852970 | − | 0.648411i | 0.0708353 | − | 0.0538476i | ||||
\(146\) | −0.533331 | + | 0.886404i | −0.0441388 | + | 0.0733593i | ||||
\(147\) | 0.826092 | − | 7.87925i | 0.0681349 | − | 0.649870i | ||||
\(148\) | −3.20445 | + | 3.38290i | −0.263405 | + | 0.278073i | ||||
\(149\) | 12.4879 | + | 7.51374i | 1.02305 | + | 0.615549i | 0.925132 | − | 0.379645i | \(-0.123954\pi\) |
0.0979186 | + | 0.995194i | \(0.468782\pi\) | |||||||
\(150\) | −7.84919 | − | 2.14665i | −0.640883 | − | 0.175273i | ||||
\(151\) | −0.211319 | − | 0.627174i | −0.0171969 | − | 0.0510387i | 0.938711 | − | 0.344705i | \(-0.112021\pi\) |
−0.955908 | + | 0.293666i | \(0.905125\pi\) | |||||||
\(152\) | −16.1666 | − | 5.44715i | −1.31128 | − | 0.441822i | ||||
\(153\) | −12.1639 | − | 15.7469i | −0.983392 | − | 1.27306i | ||||
\(154\) | 1.33592 | + | 3.35290i | 0.107651 | + | 0.270184i | ||||
\(155\) | 2.04691 | − | 2.40981i | 0.164412 | − | 0.193561i | ||||
\(156\) | 4.64529 | + | 11.5289i | 0.371921 | + | 0.923050i | ||||
\(157\) | 1.77231 | − | 8.05167i | 0.141445 | − | 0.642593i | −0.851533 | − | 0.524300i | \(-0.824327\pi\) |
0.992979 | − | 0.118293i | \(-0.0377421\pi\) | |||||||
\(158\) | 8.01745 | − | 4.82394i | 0.637834 | − | 0.383772i | ||||
\(159\) | −2.84573 | − | 10.0977i | −0.225681 | − | 0.800798i | ||||
\(160\) | 1.78838 | − | 0.948140i | 0.141384 | − | 0.0749571i | ||||
\(161\) | −10.8463 | − | 1.17961i | −0.854809 | − | 0.0929661i | ||||
\(162\) | 3.96508 | − | 7.76701i | 0.311526 | − | 0.610234i | ||||
\(163\) | 0.225407 | + | 0.811843i | 0.0176552 | + | 0.0635884i | 0.971853 | − | 0.235588i | \(-0.0757017\pi\) |
−0.954198 | + | 0.299177i | \(0.903288\pi\) | |||||||
\(164\) | 2.15349 | − | 4.65469i | 0.168159 | − | 0.363470i | ||||
\(165\) | 1.17403 | + | 1.10351i | 0.0913979 | + | 0.0859083i | ||||
\(166\) | 10.9618 | − | 1.19217i | 0.850800 | − | 0.0925301i | ||||
\(167\) | 6.96566 | − | 4.72284i | 0.539019 | − | 0.365464i | −0.261094 | − | 0.965313i | \(-0.584083\pi\) |
0.800113 | + | 0.599849i | \(0.204773\pi\) | |||||||
\(168\) | −7.08414 | − | 3.72074i | −0.546554 | − | 0.287061i | ||||
\(169\) | −21.1924 | − | 24.9496i | −1.63018 | − | 1.91920i | ||||
\(170\) | 1.17096 | − | 2.20866i | 0.0898083 | − | 0.169396i | ||||
\(171\) | 11.2718 | + | 13.0640i | 0.861978 | + | 0.999029i | ||||
\(172\) | −4.48221 | − | 0.734820i | −0.341765 | − | 0.0560295i | ||||
\(173\) | 0.829850 | − | 15.3057i | 0.0630923 | − | 1.16367i | −0.779957 | − | 0.625833i | \(-0.784759\pi\) |
0.843050 | − | 0.537836i | \(-0.180758\pi\) | |||||||
\(174\) | 2.97908 | − | 3.53487i | 0.225844 | − | 0.267978i | ||||
\(175\) | 5.48280 | − | 5.19358i | 0.414460 | − | 0.392598i | ||||
\(176\) | −1.79776 | −0.135512 | ||||||||
\(177\) | 4.51654 | − | 12.5140i | 0.339484 | − | 0.940612i | ||||
\(178\) | −3.12130 | −0.233951 | ||||||||
\(179\) | −18.4604 | + | 17.4867i | −1.37980 | + | 1.30701i | −0.475753 | + | 0.879579i | \(0.657824\pi\) |
−0.904046 | + | 0.427436i | \(0.859417\pi\) | |||||||
\(180\) | −1.23695 | − | 0.0574708i | −0.0921966 | − | 0.00428362i | ||||
\(181\) | −0.271434 | + | 5.00631i | −0.0201756 | + | 0.372116i | 0.970958 | + | 0.239249i | \(0.0769012\pi\) |
−0.991134 | + | 0.132867i | \(0.957582\pi\) | |||||||
\(182\) | 10.0719 | + | 1.65121i | 0.746580 | + | 0.122396i | ||||
\(183\) | 0.309462 | + | 5.32645i | 0.0228761 | + | 0.393743i | ||||
\(184\) | 9.73198 | − | 18.3565i | 0.717451 | − | 1.35326i | ||||
\(185\) | 1.10580 | + | 1.30185i | 0.0813002 | + | 0.0957140i | ||||
\(186\) | 6.34324 | − | 12.0773i | 0.465109 | − | 0.885549i | ||||
\(187\) | 13.1287 | − | 8.90151i | 0.960069 | − | 0.650943i | ||||
\(188\) | 2.71641 | − | 0.295427i | 0.198115 | − | 0.0215463i | ||||
\(189\) | 4.25273 | + | 6.88591i | 0.309340 | + | 0.500876i | ||||
\(190\) | −0.910226 | + | 1.96742i | −0.0660347 | + | 0.142732i | ||||
\(191\) | 4.83585 | + | 17.4171i | 0.349910 | + | 1.26026i | 0.903902 | + | 0.427739i | \(0.140690\pi\) |
−0.553993 | + | 0.832521i | \(0.686897\pi\) | |||||||
\(192\) | 8.61252 | − | 7.37308i | 0.621555 | − | 0.532106i | ||||
\(193\) | −10.9785 | − | 1.19398i | −0.790247 | − | 0.0859445i | −0.295911 | − | 0.955216i | \(-0.595623\pi\) |
−0.494336 | + | 0.869271i | \(0.664589\pi\) | |||||||
\(194\) | −3.59239 | + | 1.90456i | −0.257918 | + | 0.136740i | ||||
\(195\) | 4.38550 | − | 1.23592i | 0.314052 | − | 0.0885061i | ||||
\(196\) | −4.15888 | + | 2.50232i | −0.297063 | + | 0.178737i | ||||
\(197\) | −1.77237 | + | 8.05196i | −0.126276 | + | 0.573678i | 0.870409 | + | 0.492328i | \(0.163854\pi\) |
−0.996686 | + | 0.0813497i | \(0.974077\pi\) | |||||||
\(198\) | 5.98420 | + | 3.53780i | 0.425279 | + | 0.251421i | ||||
\(199\) | 3.77068 | − | 4.43919i | 0.267296 | − | 0.314686i | −0.612096 | − | 0.790784i | \(-0.709673\pi\) |
0.879392 | + | 0.476098i | \(0.157949\pi\) | |||||||
\(200\) | 5.32320 | + | 13.3602i | 0.376407 | + | 0.944711i | ||||
\(201\) | −6.40224 | + | 0.0247671i | −0.451579 | + | 0.00174693i | ||||
\(202\) | −11.3867 | − | 3.83662i | −0.801164 | − | 0.269944i | ||||
\(203\) | 1.36989 | + | 4.06569i | 0.0961475 | + | 0.285356i | ||||
\(204\) | −3.21580 | + | 11.7585i | −0.225151 | + | 0.823263i | ||||
\(205\) | −1.61092 | − | 0.969260i | −0.112512 | − | 0.0676961i | ||||
\(206\) | −1.26721 | + | 1.33778i | −0.0882910 | + | 0.0932077i | ||||
\(207\) | −17.9218 | + | 10.9730i | −1.24565 | + | 0.762673i | ||||
\(208\) | −2.62097 | + | 4.35609i | −0.181732 | + | 0.302040i | ||||
\(209\) | −10.9501 | + | 8.32406i | −0.757435 | + | 0.575787i | ||||
\(210\) | −0.567353 | + | 0.843793i | −0.0391511 | + | 0.0582272i | ||||
\(211\) | −0.621466 | + | 1.84445i | −0.0427835 | + | 0.126977i | −0.966916 | − | 0.255096i | \(-0.917893\pi\) |
0.924132 | + | 0.382073i | \(0.124790\pi\) | |||||||
\(212\) | −3.88962 | + | 5.11671i | −0.267140 | + | 0.351417i | ||||
\(213\) | 4.43001 | + | 2.64216i | 0.303539 | + | 0.181038i | ||||
\(214\) | −3.30571 | − | 2.80789i | −0.225974 | − | 0.191944i | ||||
\(215\) | −0.445430 | + | 1.60429i | −0.0303781 | + | 0.109412i | ||||
\(216\) | −15.1793 | + | 2.66976i | −1.03282 | + | 0.181654i | ||||
\(217\) | 6.52717 | + | 10.8482i | 0.443093 | + | 0.736427i | ||||
\(218\) | −13.3966 | − | 5.33771i | −0.907335 | − | 0.361515i | ||||
\(219\) | −1.68127 | − | 0.769957i | −0.113610 | − | 0.0520289i | ||||
\(220\) | 0.106726 | − | 0.981330i | 0.00719547 | − | 0.0661612i | ||||
\(221\) | −2.42840 | − | 44.7893i | −0.163352 | − | 3.01285i | ||||
\(222\) | 5.88416 | + | 4.43721i | 0.394919 | + | 0.297806i | ||||
\(223\) | −1.78677 | − | 0.826649i | −0.119651 | − | 0.0553565i | 0.359150 | − | 0.933280i | \(-0.383067\pi\) |
−0.478801 | + | 0.877923i | \(0.658929\pi\) | |||||||
\(224\) | 1.31127 | + | 7.99841i | 0.0876131 | + | 0.534416i | ||||
\(225\) | 2.24216 | − | 14.3722i | 0.149478 | − | 0.958149i | ||||
\(226\) | 4.00571 | + | 5.90798i | 0.266456 | + | 0.392993i | ||||
\(227\) | 5.62312 | − | 2.60153i | 0.373220 | − | 0.172670i | −0.224308 | − | 0.974518i | \(-0.572012\pi\) |
0.597527 | + | 0.801849i | \(0.296150\pi\) | |||||||
\(228\) | 2.23249 | − | 10.3325i | 0.147850 | − | 0.684289i | ||||
\(229\) | 13.4627 | + | 7.13747i | 0.889641 | + | 0.471658i | 0.849532 | − | 0.527538i | \(-0.176885\pi\) |
0.0401090 | + | 0.999195i | \(0.487229\pi\) | |||||||
\(230\) | −2.18519 | − | 1.48160i | −0.144087 | − | 0.0976936i | ||||
\(231\) | −5.68842 | + | 3.04406i | −0.374271 | + | 0.200284i | ||||
\(232\) | −8.15809 | − | 0.442319i | −0.535605 | − | 0.0290397i | ||||
\(233\) | −8.57741 | + | 1.88803i | −0.561925 | + | 0.123689i | −0.486845 | − | 0.873489i | \(-0.661852\pi\) |
−0.0750800 | + | 0.997178i | \(0.523921\pi\) | |||||||
\(234\) | 17.2967 | − | 9.34228i | 1.13072 | − | 0.610724i | ||||
\(235\) | − | 1.00163i | − | 0.0653391i | ||||||
\(236\) | −7.78728 | + | 2.40674i | −0.506909 | + | 0.156665i | ||||
\(237\) | 10.1734 | + | 13.2760i | 0.660836 | + | 0.862370i | ||||
\(238\) | 6.88383 | + | 7.26717i | 0.446212 | + | 0.471061i | ||||
\(239\) | 1.17353 | + | 5.33139i | 0.0759091 | + | 0.344859i | 0.999233 | − | 0.0391640i | \(-0.0124695\pi\) |
−0.923324 | + | 0.384023i | \(0.874538\pi\) | |||||||
\(240\) | −0.285842 | − | 0.418095i | −0.0184510 | − | 0.0269879i | ||||
\(241\) | −3.10477 | + | 18.9383i | −0.199996 | + | 1.21992i | 0.675743 | + | 0.737137i | \(0.263823\pi\) |
−0.875739 | + | 0.482785i | \(0.839625\pi\) | |||||||
\(242\) | 2.87147 | − | 4.23510i | 0.184585 | − | 0.272242i | ||||
\(243\) | 14.5902 | + | 5.48872i | 0.935962 | + | 0.352101i | ||||
\(244\) | 2.49130 | − | 2.11613i | 0.159489 | − | 0.135471i | ||||
\(245\) | 0.747070 | + | 1.61476i | 0.0477285 | + | 0.103164i | ||||
\(246\) | −7.69684 | − | 2.56026i | −0.490733 | − | 0.163236i | ||||
\(247\) | 4.20545 | + | 38.6684i | 0.267586 | + | 2.46041i | ||||
\(248\) | −23.7921 | + | 3.90051i | −1.51080 | + | 0.247683i | ||||
\(249\) | 4.31157 | + | 19.2330i | 0.273235 | + | 1.21884i | ||||
\(250\) | 3.57671 | − | 0.993067i | 0.226211 | − | 0.0628071i | ||||
\(251\) | −9.54659 | + | 0.517601i | −0.602575 | + | 0.0326707i | −0.352903 | − | 0.935660i | \(-0.614806\pi\) |
−0.249672 | + | 0.968330i | \(0.580323\pi\) | |||||||
\(252\) | 1.79957 | − | 4.62022i | 0.113362 | − | 0.291047i | ||||
\(253\) | −7.84670 | − | 14.8004i | −0.493318 | − | 0.930496i | ||||
\(254\) | 2.28395 | − | 5.73228i | 0.143308 | − | 0.359675i | ||||
\(255\) | 4.15762 | + | 1.63794i | 0.260361 | + | 0.102572i | ||||
\(256\) | −16.6321 | − | 3.66101i | −1.03951 | − | 0.228813i | ||||
\(257\) | 22.9149 | + | 6.36230i | 1.42939 | + | 0.396869i | 0.894127 | − | 0.447814i | \(-0.147797\pi\) |
0.535267 | + | 0.844683i | \(0.320211\pi\) | |||||||
\(258\) | −0.361162 | + | 7.17454i | −0.0224850 | + | 0.446668i | ||||
\(259\) | −6.35381 | + | 2.53159i | −0.394806 | + | 0.157305i | ||||
\(260\) | −2.22222 | − | 1.68929i | −0.137816 | − | 0.104765i | ||||
\(261\) | 6.87527 | + | 4.58430i | 0.425568 | + | 0.283761i | ||||
\(262\) | −12.6736 | + | 4.27024i | −0.782978 | + | 0.263816i | ||||
\(263\) | −16.6827 | − | 21.9457i | −1.02870 | − | 1.35323i | −0.933821 | − | 0.357740i | \(-0.883547\pi\) |
−0.0948767 | − | 0.995489i | \(-0.530246\pi\) | |||||||
\(264\) | −1.37560 | − | 12.2089i | −0.0846626 | − | 0.751404i | ||||
\(265\) | 1.71048 | + | 1.62026i | 0.105074 | + | 0.0995315i | ||||
\(266\) | −6.30179 | − | 5.96937i | −0.386387 | − | 0.366006i | ||||
\(267\) | −0.624702 | − | 5.54440i | −0.0382311 | − | 0.339312i | ||||
\(268\) | 2.37370 | + | 3.12254i | 0.144997 | + | 0.190740i | ||||
\(269\) | 4.90531 | − | 1.65279i | 0.299082 | − | 0.100772i | −0.165760 | − | 0.986166i | \(-0.553008\pi\) |
0.464842 | + | 0.885394i | \(0.346111\pi\) | |||||||
\(270\) | 0.128716 | + | 1.95421i | 0.00783340 | + | 0.118930i | ||||
\(271\) | −24.2625 | − | 18.4438i | −1.47384 | − | 1.12038i | −0.965876 | − | 0.259004i | \(-0.916606\pi\) |
−0.507963 | − | 0.861379i | \(-0.669601\pi\) | |||||||
\(272\) | −4.63184 | + | 1.84549i | −0.280846 | + | 0.111899i | ||||
\(273\) | −0.917250 | + | 18.2213i | −0.0555145 | + | 1.10281i | ||||
\(274\) | −14.6435 | − | 4.06574i | −0.884645 | − | 0.245621i | ||||
\(275\) | 11.3245 | + | 2.49272i | 0.682896 | + | 0.150317i | ||||
\(276\) | 11.9782 | + | 4.71896i | 0.721005 | + | 0.284048i | ||||
\(277\) | −0.304011 | + | 0.763011i | −0.0182663 | + | 0.0458449i | −0.937827 | − | 0.347103i | \(-0.887165\pi\) |
0.919561 | + | 0.392948i | \(0.128545\pi\) | |||||||
\(278\) | 2.63244 | + | 4.96530i | 0.157883 | + | 0.297799i | ||||
\(279\) | 22.7226 | + | 8.85041i | 1.36036 | + | 0.529860i | ||||
\(280\) | 1.79440 | − | 0.0972894i | 0.107236 | − | 0.00581415i | ||||
\(281\) | −7.87579 | + | 2.18670i | −0.469830 | + | 0.130448i | −0.494371 | − | 0.869251i | \(-0.664601\pi\) |
0.0245406 | + | 0.999699i | \(0.492188\pi\) | |||||||
\(282\) | −0.945330 | − | 4.21691i | −0.0562936 | − | 0.251113i | ||||
\(283\) | 29.4220 | − | 4.82349i | 1.74896 | − | 0.286727i | 0.799509 | − | 0.600655i | \(-0.205093\pi\) |
0.949447 | + | 0.313928i | \(0.101645\pi\) | |||||||
\(284\) | −0.341665 | − | 3.14156i | −0.0202741 | − | 0.186417i | ||||
\(285\) | −3.67693 | − | 1.22308i | −0.217802 | − | 0.0724492i | ||||
\(286\) | 6.58010 | + | 14.2227i | 0.389089 | + | 0.841003i | ||||
\(287\) | 5.73758 | − | 4.87354i | 0.338679 | − | 0.287676i | ||||
\(288\) | 11.4165 | + | 10.6479i | 0.672724 | + | 0.627435i | ||||
\(289\) | 15.1475 | − | 22.3408i | 0.891027 | − | 1.31417i | ||||
\(290\) | −0.167959 | + | 1.02450i | −0.00986287 | + | 0.0601608i | ||||
\(291\) | −4.10209 | − | 6.00002i | −0.240468 | − | 0.351727i | ||||
\(292\) | 0.243540 | + | 1.10641i | 0.0142521 | + | 0.0647478i | ||||
\(293\) | −9.42419 | − | 9.94900i | −0.550567 | − | 0.581227i | 0.390008 | − | 0.920811i | \(-0.372472\pi\) |
−0.940576 | + | 0.339585i | \(0.889714\pi\) | |||||||
\(294\) | 4.66920 | + | 6.09316i | 0.272313 | + | 0.355360i | ||||
\(295\) | 0.568433 | + | 2.93325i | 0.0330955 | + | 0.170780i | ||||
\(296\) | − | 13.0248i | − | 0.757049i | ||||||
\(297\) | −5.08656 | + | 11.3379i | −0.295152 | + | 0.657890i | ||||
\(298\) | −13.7914 | + | 3.03573i | −0.798917 | + | 0.175855i | ||||
\(299\) | −47.3021 | − | 2.56465i | −2.73555 | − | 0.148317i | ||||
\(300\) | −7.85729 | + | 4.20469i | −0.453641 | + | 0.242758i | ||||
\(301\) | −5.51813 | − | 3.74138i | −0.318060 | − | 0.215650i | ||||
\(302\) | 0.566569 | + | 0.300376i | 0.0326024 | + | 0.0172847i | ||||
\(303\) | 4.53609 | − | 20.9942i | 0.260591 | − | 1.20608i | ||||
\(304\) | 3.92401 | − | 1.81544i | 0.225057 | − | 0.104123i | ||||
\(305\) | −0.672427 | − | 0.991755i | −0.0385030 | − | 0.0567877i | ||||
\(306\) | 19.0497 | + | 2.97188i | 1.08900 | + | 0.169891i | ||||
\(307\) | 1.39049 | + | 8.48163i | 0.0793596 | + | 0.484072i | 0.996364 | + | 0.0851955i | \(0.0271515\pi\) |
−0.917005 | + | 0.398876i | \(0.869400\pi\) | |||||||
\(308\) | 3.58729 | + | 1.65966i | 0.204405 | + | 0.0945677i | ||||
\(309\) | −2.62994 | − | 1.98322i | −0.149612 | − | 0.112822i | ||||
\(310\) | 0.165862 | + | 3.05915i | 0.00942034 | + | 0.173748i | ||||
\(311\) | −0.678428 | + | 6.23804i | −0.0384701 | + | 0.353727i | 0.959044 | + | 0.283258i | \(0.0914152\pi\) |
−0.997514 | + | 0.0704693i | \(0.977550\pi\) | |||||||
\(312\) | −31.5883 | − | 14.4662i | −1.78834 | − | 0.818989i | ||||
\(313\) | −4.93160 | − | 1.96493i | −0.278751 | − | 0.111064i | 0.226573 | − | 0.973994i | \(-0.427248\pi\) |
−0.505324 | + | 0.862930i | \(0.668627\pi\) | |||||||
\(314\) | 4.11847 | + | 6.84495i | 0.232419 | + | 0.386283i | ||||
\(315\) | −1.61239 | − | 0.838919i | −0.0908479 | − | 0.0472677i | ||||
\(316\) | 2.74136 | − | 9.87347i | 0.154213 | − | 0.555426i | ||||
\(317\) | −9.30985 | − | 7.90786i | −0.522893 | − | 0.444149i | 0.346659 | − | 0.937991i | \(-0.387316\pi\) |
−0.869552 | + | 0.493842i | \(0.835592\pi\) | |||||||
\(318\) | 8.73040 | + | 5.20702i | 0.489577 | + | 0.291995i | ||||
\(319\) | −3.98651 | + | 5.24416i | −0.223201 | + | 0.293617i | ||||
\(320\) | −0.812988 | + | 2.41286i | −0.0454474 | + | 0.134883i | ||||
\(321\) | 4.32609 | − | 6.43395i | 0.241459 | − | 0.359108i | ||||
\(322\) | 8.41592 | − | 6.39761i | 0.469001 | − | 0.356525i | ||||
\(323\) | −19.6673 | + | 32.6873i | −1.09432 | + | 1.81877i | ||||
\(324\) | −2.69703 | − | 9.16146i | −0.149835 | − | 0.508970i | ||||
\(325\) | 22.5501 | − | 23.8059i | 1.25086 | − | 1.32051i | ||||
\(326\) | −0.699533 | − | 0.420895i | −0.0387435 | − | 0.0233112i | ||||
\(327\) | 6.80021 | − | 24.8649i | 0.376053 | − | 1.37503i | ||||
\(328\) | 4.57745 | + | 13.5854i | 0.252747 | + | 0.750127i | ||||
\(329\) | 3.80077 | + | 1.28063i | 0.209543 | + | 0.0706033i | ||||
\(330\) | −1.56120 | + | 0.00603949i | −0.0859411 | + | 0.000332463i | ||||
\(331\) | −0.702301 | − | 1.76264i | −0.0386020 | − | 0.0968836i | 0.908412 | − | 0.418076i | \(-0.137296\pi\) |
−0.947014 | + | 0.321193i | \(0.895916\pi\) | |||||||
\(332\) | 7.81747 | − | 9.20344i | 0.429039 | − | 0.505104i | ||||
\(333\) | −6.70420 | + | 11.3402i | −0.367388 | + | 0.621437i | ||||
\(334\) | −1.75298 | + | 7.96385i | −0.0959186 | + | 0.435763i | ||||
\(335\) | 1.23200 | − | 0.741271i | 0.0673115 | − | 0.0405000i | ||||
\(336\) | 1.95196 | − | 0.550101i | 0.106488 | − | 0.0300105i | ||||
\(337\) | −17.2916 | + | 9.16744i | −0.941935 | + | 0.499382i | −0.867276 | − | 0.497827i | \(-0.834131\pi\) |
−0.0746584 | + | 0.997209i | \(0.523787\pi\) | |||||||
\(338\) | 31.5330 | + | 3.42942i | 1.71517 | + | 0.186536i | ||||
\(339\) | −9.69270 | + | 8.29782i | −0.526435 | + | 0.450676i | ||||
\(340\) | −0.732409 | − | 2.63790i | −0.0397205 | − | 0.143060i | ||||
\(341\) | −8.16230 | + | 17.6425i | −0.442013 | + | 0.955396i | ||||
\(342\) | −16.6344 | − | 1.67898i | −0.899484 | − | 0.0907890i | ||||
\(343\) | −17.9215 | + | 1.94908i | −0.967670 | + | 0.105240i | ||||
\(344\) | 10.5083 | − | 7.12481i | 0.566570 | − | 0.384144i | ||||
\(345\) | 2.19443 | − | 4.17811i | 0.118144 | − | 0.224942i | ||||
\(346\) | 9.61514 | + | 11.3198i | 0.516913 | + | 0.608557i | ||||
\(347\) | 8.63489 | − | 16.2871i | 0.463545 | − | 0.874339i | −0.536001 | − | 0.844217i | \(-0.680066\pi\) |
0.999546 | − | 0.0301215i | \(-0.00958941\pi\) | |||||||
\(348\) | −0.293636 | − | 5.05406i | −0.0157406 | − | 0.270926i | ||||
\(349\) | 20.6211 | + | 3.38066i | 1.10382 | + | 0.180963i | 0.686026 | − | 0.727577i | \(-0.259354\pi\) |
0.417798 | + | 0.908540i | \(0.362802\pi\) | |||||||
\(350\) | −0.396168 | + | 7.30690i | −0.0211761 | + | 0.390570i | ||||
\(351\) | 20.0566 | + | 28.8546i | 1.07054 | + | 1.54014i | ||||
\(352\) | −9.03491 | + | 8.55832i | −0.481562 | + | 0.456160i | ||||
\(353\) | −6.46249 | −0.343964 | −0.171982 | − | 0.985100i | \(-0.555017\pi\) | ||||
−0.171982 | + | 0.985100i | \(0.555017\pi\) | |||||||
\(354\) | 5.16151 | + | 11.8126i | 0.274331 | + | 0.627834i | ||||
\(355\) | −1.15840 | −0.0614813 | ||||||||
\(356\) | −2.48163 | + | 2.35073i | −0.131526 | + | 0.124588i | ||||
\(357\) | −11.5310 | + | 13.6823i | −0.610286 | + | 0.724144i | ||||
\(358\) | 1.33389 | − | 24.6021i | 0.0704982 | − | 1.30026i | ||||
\(359\) | 14.6048 | + | 2.39434i | 0.770814 | + | 0.126368i | 0.534340 | − | 0.845269i | \(-0.320560\pi\) |
0.236473 | + | 0.971638i | \(0.424008\pi\) | |||||||
\(360\) | 2.62062 | − | 2.26111i | 0.138119 | − | 0.119171i | ||||
\(361\) | 6.59530 | − | 12.4401i | 0.347121 | − | 0.654740i | ||||
\(362\) | −3.14500 | − | 3.70258i | −0.165298 | − | 0.194603i | ||||
\(363\) | 8.09755 | + | 4.25300i | 0.425011 | + | 0.223225i | ||||
\(364\) | 9.25137 | − | 6.27258i | 0.484904 | − | 0.328773i | ||||
\(365\) | 0.412853 | − | 0.0449005i | 0.0216097 | − | 0.00235020i | ||||
\(366\) | −3.76696 | − | 3.54071i | −0.196902 | − | 0.185076i | ||||
\(367\) | 7.61735 | − | 16.4646i | 0.397623 | − | 0.859447i | −0.600583 | − | 0.799563i | \(-0.705065\pi\) |
0.998205 | − | 0.0598845i | \(-0.0190732\pi\) | |||||||
\(368\) | 1.40872 | + | 5.07375i | 0.0734346 | + | 0.264487i | ||||
\(369\) | 3.00736 | − | 14.1844i | 0.156557 | − | 0.738411i | ||||
\(370\) | −1.64537 | − | 0.178944i | −0.0855385 | − | 0.00930288i | ||||
\(371\) | −8.33514 | + | 4.41901i | −0.432739 | + | 0.229424i | ||||
\(372\) | −4.05241 | − | 14.3794i | −0.210108 | − | 0.745540i | ||||
\(373\) | −5.46035 | + | 3.28538i | −0.282726 | + | 0.170111i | −0.649852 | − | 0.760060i | \(-0.725169\pi\) |
0.367126 | + | 0.930171i | \(0.380342\pi\) | |||||||
\(374\) | −3.30398 | + | 15.0101i | −0.170845 | + | 0.776155i | ||||
\(375\) | 2.47984 | + | 6.15459i | 0.128059 | + | 0.317822i | ||||
\(376\) | −4.94455 | + | 5.82117i | −0.254996 | + | 0.300204i | ||||
\(377\) | 6.89495 | + | 17.3050i | 0.355108 | + | 0.891254i | ||||
\(378\) | −7.58001 | − | 2.01013i | −0.389873 | − | 0.103390i | ||||
\(379\) | 22.6380 | + | 7.62764i | 1.16284 | + | 0.391805i | 0.833560 | − | 0.552428i | \(-0.186299\pi\) |
0.329276 | + | 0.944234i | \(0.393195\pi\) | |||||||
\(380\) | 0.758025 | + | 2.24974i | 0.0388858 | + | 0.115409i | ||||
\(381\) | 10.6394 | + | 2.90974i | 0.545074 | + | 0.149070i | ||||
\(382\) | −15.0077 | − | 9.02981i | −0.767859 | − | 0.462005i | ||||
\(383\) | 8.04383 | − | 8.49177i | 0.411021 | − | 0.433909i | −0.487310 | − | 0.873229i | \(-0.662022\pi\) |
0.898331 | + | 0.439320i | \(0.144781\pi\) | |||||||
\(384\) | 0.734183 | − | 7.00263i | 0.0374661 | − | 0.357351i | ||||
\(385\) | 0.746992 | − | 1.24151i | 0.0380702 | − | 0.0632732i | ||||
\(386\) | 8.51845 | − | 6.47556i | 0.433578 | − | 0.329597i | ||||
\(387\) | −12.8165 | + | 0.794387i | −0.651500 | + | 0.0403810i | ||||
\(388\) | −1.42180 | + | 4.21976i | −0.0721811 | + | 0.214226i | ||||
\(389\) | 22.2292 | − | 29.2420i | 1.12706 | − | 1.48263i | 0.273328 | − | 0.961921i | \(-0.411876\pi\) |
0.853736 | − | 0.520706i | \(-0.174331\pi\) | |||||||
\(390\) | −2.26144 | + | 3.79168i | −0.114513 | + | 0.191999i | ||||
\(391\) | −35.4100 | − | 30.0775i | −1.79076 | − | 1.52108i | ||||
\(392\) | 3.62955 | − | 13.0724i | 0.183320 | − | 0.660258i | ||||
\(393\) | −10.1218 | − | 21.6576i | −0.510577 | − | 1.09248i | ||||
\(394\) | −4.11862 | − | 6.84520i | −0.207493 | − | 0.344856i | ||||
\(395\) | −3.48947 | − | 1.39033i | −0.175574 | − | 0.0699551i | ||||
\(396\) | 7.42222 | − | 1.69407i | 0.372981 | − | 0.0851300i | ||||
\(397\) | −2.06146 | + | 18.9548i | −0.103461 | + | 0.951313i | 0.821231 | + | 0.570597i | \(0.193288\pi\) |
−0.924692 | + | 0.380716i | \(0.875678\pi\) | |||||||
\(398\) | 0.305540 | + | 5.63535i | 0.0153153 | + | 0.282475i | ||||
\(399\) | 9.34221 | − | 12.3887i | 0.467696 | − | 0.620209i | ||||
\(400\) | −3.30803 | − | 1.53046i | −0.165402 | − | 0.0765230i | ||||
\(401\) | 1.28974 | + | 7.86709i | 0.0644067 | + | 0.392864i | 0.999282 | + | 0.0378873i | \(0.0120628\pi\) |
−0.934875 | + | 0.354976i | \(0.884489\pi\) | |||||||
\(402\) | 4.48718 | − | 4.28354i | 0.223800 | − | 0.213644i | ||||
\(403\) | 30.8490 | + | 45.4988i | 1.53670 | + | 2.26646i | ||||
\(404\) | −11.9426 | + | 5.52523i | −0.594166 | + | 0.274890i | ||||
\(405\) | −3.44553 | + | 0.619759i | −0.171210 | + | 0.0307961i | ||||
\(406\) | −3.67282 | − | 1.94721i | −0.182279 | − | 0.0966382i | ||||
\(407\) | −8.69207 | − | 5.89337i | −0.430850 | − | 0.292123i | ||||
\(408\) | −16.0772 | − | 30.0434i | −0.795939 | − | 1.48737i | ||||
\(409\) | 10.9989 | + | 0.596345i | 0.543863 | + | 0.0294874i | 0.324024 | − | 0.946049i | \(-0.394964\pi\) |
0.219839 | + | 0.975536i | \(0.429447\pi\) | |||||||
\(410\) | 1.77907 | − | 0.391604i | 0.0878622 | − | 0.0193399i | ||||
\(411\) | 4.29126 | − | 26.8251i | 0.211672 | − | 1.32319i | ||||
\(412\) | 2.01799i | 0.0994193i | ||||||||
\(413\) | −11.8572 | − | 1.59332i | −0.583456 | − | 0.0784022i | ||||
\(414\) | 5.29539 | − | 19.6611i | 0.260254 | − | 0.966292i | ||||
\(415\) | −3.04411 | − | 3.21362i | −0.149429 | − | 0.157751i | ||||
\(416\) | 7.56526 | + | 34.3693i | 0.370917 | + | 1.68510i | ||||
\(417\) | −8.29307 | + | 5.66979i | −0.406113 | + | 0.277651i | ||||
\(418\) | 2.15619 | − | 13.1522i | 0.105463 | − | 0.643294i | ||||
\(419\) | 7.31750 | − | 10.7925i | 0.357483 | − | 0.527248i | −0.605842 | − | 0.795585i | \(-0.707164\pi\) |
0.963325 | + | 0.268337i | \(0.0864740\pi\) | |||||||
\(420\) | 0.184399 | + | 1.09816i | 0.00899774 | + | 0.0535845i | ||||
\(421\) | −4.81275 | + | 4.08799i | −0.234559 | + | 0.199236i | −0.756955 | − | 0.653466i | \(-0.773314\pi\) |
0.522396 | + | 0.852703i | \(0.325038\pi\) | |||||||
\(422\) | −0.791869 | − | 1.71160i | −0.0385476 | − | 0.0833192i | ||||
\(423\) | 7.30134 | − | 2.52318i | 0.355003 | − | 0.122681i | ||||
\(424\) | −1.94242 | − | 17.8603i | −0.0943323 | − | 0.867371i | ||||
\(425\) | 31.7360 | − | 5.20285i | 1.53942 | − | 0.252375i | ||||
\(426\) | −4.87690 | + | 1.09329i | −0.236287 | + | 0.0529698i | ||||
\(427\) | 4.62303 | − | 1.28358i | 0.223724 | − | 0.0621167i | ||||
\(428\) | −4.74294 | + | 0.257155i | −0.229259 | + | 0.0124300i | ||||
\(429\) | −23.9469 | + | 14.5349i | −1.15617 | + | 0.701749i | ||||
\(430\) | −0.755677 | − | 1.42536i | −0.0364420 | − | 0.0687369i | ||||
\(431\) | −0.0511931 | + | 0.128485i | −0.00246589 | + | 0.00618891i | −0.930205 | − | 0.367042i | \(-0.880371\pi\) |
0.927739 | + | 0.373231i | \(0.121750\pi\) | |||||||
\(432\) | 2.32763 | − | 3.13685i | 0.111988 | − | 0.150922i | ||||
\(433\) | 0.916138 | + | 0.201657i | 0.0440268 | + | 0.00969103i | 0.236929 | − | 0.971527i | \(-0.423859\pi\) |
−0.192902 | + | 0.981218i | \(0.561790\pi\) | |||||||
\(434\) | −11.8203 | − | 3.28188i | −0.567391 | − | 0.157535i | ||||
\(435\) | −1.85345 | − | 0.0933015i | −0.0888662 | − | 0.00447347i | ||||
\(436\) | −14.6711 | + | 5.84551i | −0.702620 | + | 0.279949i | ||||
\(437\) | 32.0731 | + | 24.3813i | 1.53426 | + | 1.16632i | ||||
\(438\) | 1.69576 | − | 0.578681i | 0.0810264 | − | 0.0276505i | ||||
\(439\) | 22.1256 | − | 7.45498i | 1.05600 | − | 0.355807i | 0.262850 | − | 0.964837i | \(-0.415338\pi\) |
0.793147 | + | 0.609030i | \(0.208441\pi\) | |||||||
\(440\) | 1.66979 | + | 2.19658i | 0.0796043 | + | 0.104718i | ||||
\(441\) | −9.88885 | + | 9.51345i | −0.470898 | + | 0.453021i | ||||
\(442\) | 31.5535 | + | 29.8891i | 1.50085 | + | 1.42168i | ||||
\(443\) | 9.43910 | + | 8.94119i | 0.448465 | + | 0.424809i | 0.878308 | − | 0.478095i | \(-0.158672\pi\) |
−0.429843 | + | 0.902904i | \(0.641431\pi\) | |||||||
\(444\) | 8.02004 | − | 0.903638i | 0.380614 | − | 0.0428848i | ||||
\(445\) | 0.758302 | + | 0.997529i | 0.0359470 | + | 0.0472874i | ||||
\(446\) | 1.80775 | − | 0.609102i | 0.0855994 | − | 0.0288418i | ||||
\(447\) | −8.15264 | − | 23.8903i | −0.385606 | − | 1.12997i | ||||
\(448\) | −8.11637 | − | 6.16991i | −0.383463 | − | 0.291501i | ||||
\(449\) | 34.7121 | − | 13.8306i | 1.63817 | − | 0.652705i | 0.644451 | − | 0.764646i | \(-0.277086\pi\) |
0.993715 | + | 0.111941i | \(0.0357068\pi\) | |||||||
\(450\) | 7.99964 | + | 11.6043i | 0.377107 | + | 0.547031i | ||||
\(451\) | 11.1374 | + | 3.09227i | 0.524438 | + | 0.145610i | ||||
\(452\) | 7.63423 | + | 1.68042i | 0.359084 | + | 0.0790404i | ||||
\(453\) | −0.420167 | + | 1.06652i | −0.0197412 | + | 0.0501095i | ||||
\(454\) | −2.22209 | + | 5.57701i | −0.104288 | + | 0.261742i | ||||
\(455\) | −1.91921 | − | 3.62001i | −0.0899738 | − | 0.169709i | ||||
\(456\) | 15.3315 | + | 25.2594i | 0.717961 | + | 1.18288i | ||||
\(457\) | 36.4104 | − | 1.97411i | 1.70321 | − | 0.0923452i | 0.823335 | − | 0.567556i | \(-0.192111\pi\) |
0.879872 | + | 0.475211i | \(0.157628\pi\) | |||||||
\(458\) | −14.2264 | + | 3.94995i | −0.664758 | + | 0.184569i | ||||
\(459\) | −1.46635 | + | 34.4330i | −0.0684434 | + | 1.60719i | ||||
\(460\) | −2.85319 | + | 0.467757i | −0.133031 | + | 0.0218093i | ||||
\(461\) | 0.940833 | + | 8.65081i | 0.0438189 | + | 0.402909i | 0.995422 | + | 0.0955784i | \(0.0304701\pi\) |
−0.951603 | + | 0.307330i | \(0.900564\pi\) | |||||||
\(462\) | 1.97314 | − | 5.93182i | 0.0917990 | − | 0.275973i | ||||
\(463\) | −9.84329 | − | 21.2759i | −0.457456 | − | 0.988776i | −0.989829 | − | 0.142265i | \(-0.954561\pi\) |
0.532372 | − | 0.846510i | \(-0.321301\pi\) | |||||||
\(464\) | 1.57816 | − | 1.34050i | 0.0732643 | − | 0.0622313i | ||||
\(465\) | −5.40080 | + | 0.906885i | −0.250456 | + | 0.0420558i | ||||
\(466\) | 4.77573 | − | 7.04368i | 0.221232 | − | 0.326292i | ||||
\(467\) | 3.09122 | − | 18.8556i | 0.143044 | − | 0.872533i | −0.813632 | − | 0.581380i | \(-0.802513\pi\) |
0.956677 | − | 0.291153i | \(-0.0940387\pi\) | |||||||
\(468\) | 6.71608 | − | 20.4543i | 0.310451 | − | 0.945499i | ||||
\(469\) | 1.23765 | + | 5.62269i | 0.0571493 | + | 0.259632i | ||||
\(470\) | 0.667433 | + | 0.704601i | 0.0307864 | + | 0.0325008i | ||||
\(471\) | −11.3345 | + | 8.68565i | −0.522266 | + | 0.400213i | ||||
\(472\) | 11.1764 | − | 19.8532i | 0.514437 | − | 0.913819i | ||||
\(473\) | − | 10.2365i | − | 0.470675i | ||||||
\(474\) | −16.0030 | − | 2.56003i | −0.735042 | − | 0.117586i | ||||
\(475\) | −27.2355 | + | 5.99498i | −1.24965 | + | 0.275069i | ||||
\(476\) | 10.9462 | + | 0.593484i | 0.501716 | + | 0.0272023i | ||||
\(477\) | −7.50197 | + | 16.5501i | −0.343492 | + | 0.757775i | ||||
\(478\) | −4.37808 | − | 2.96841i | −0.200249 | − | 0.135772i | ||||
\(479\) | −28.5070 | − | 15.1134i | −1.30252 | − | 0.690551i | −0.334728 | − | 0.942315i | \(-0.608644\pi\) |
−0.967789 | + | 0.251764i | \(0.918989\pi\) | |||||||
\(480\) | −3.42689 | − | 0.740429i | −0.156416 | − | 0.0337958i | ||||
\(481\) | −26.9522 | + | 12.4694i | −1.22891 | + | 0.568556i | ||||
\(482\) | −10.4354 | − | 15.3911i | −0.475320 | − | 0.701044i | ||||
\(483\) | 13.0485 | + | 13.6689i | 0.593729 | + | 0.621955i | ||||
\(484\) | −0.906555 | − | 5.52974i | −0.0412070 | − | 0.251352i | ||||
\(485\) | 1.48143 | + | 0.685380i | 0.0672680 | + | 0.0311215i | ||||
\(486\) | −13.9209 | + | 5.86108i | −0.631466 | + | 0.265864i | ||||
\(487\) | 0.855786 | + | 15.7840i | 0.0387793 | + | 0.715243i | 0.951686 | + | 0.307074i | \(0.0993499\pi\) |
−0.912906 | + | 0.408169i | \(0.866167\pi\) | |||||||
\(488\) | −0.987860 | + | 9.08322i | −0.0447183 | + | 0.411178i | ||||
\(489\) | 0.607635 | − | 1.32683i | 0.0274782 | − | 0.0600012i | ||||
\(490\) | −1.60152 | − | 0.638105i | −0.0723495 | − | 0.0288267i | ||||
\(491\) | −7.79558 | − | 12.9564i | −0.351809 | − | 0.584712i | 0.629534 | − | 0.776973i | \(-0.283246\pi\) |
−0.981344 | + | 0.192261i | \(0.938418\pi\) | |||||||
\(492\) | −8.04767 | + | 3.76111i | −0.362817 | + | 0.169564i | ||||
\(493\) | −4.88762 | + | 17.6036i | −0.220127 | + | 0.792827i | ||||
\(494\) | −28.7250 | − | 24.3992i | −1.29240 | − | 1.09777i | ||||
\(495\) | −0.323188 | − | 2.77197i | −0.0145262 | − | 0.124591i | ||||
\(496\) | 3.69786 | − | 4.86445i | 0.166039 | − | 0.218420i | ||||
\(497\) | 1.48106 | − | 4.39564i | 0.0664347 | − | 0.197171i | ||||
\(498\) | −15.8488 | − | 10.6565i | −0.710203 | − | 0.477530i | ||||
\(499\) | −16.4992 | + | 12.5424i | −0.738607 | + | 0.561474i | −0.905421 | − | 0.424514i | \(-0.860445\pi\) |
0.166815 | + | 0.985988i | \(0.446652\pi\) | |||||||
\(500\) | 2.09580 | − | 3.48325i | 0.0937272 | − | 0.155776i | ||||
\(501\) | −14.4971 | − | 1.51994i | −0.647684 | − | 0.0679057i | ||||
\(502\) | 6.37069 | − | 6.72545i | 0.284338 | − | 0.300172i | ||||
\(503\) | −16.8882 | − | 10.1613i | −0.753009 | − | 0.453070i | 0.0866128 | − | 0.996242i | \(-0.472396\pi\) |
−0.839622 | + | 0.543172i | \(0.817223\pi\) | |||||||
\(504\) | 5.22941 | + | 12.8351i | 0.232936 | + | 0.571722i | ||||
\(505\) | 1.54019 | + | 4.57113i | 0.0685376 | + | 0.203412i | ||||
\(506\) | 15.3820 | + | 5.18281i | 0.683815 | + | 0.230404i | ||||
\(507\) | 0.219339 | + | 56.6987i | 0.00974119 | + | 2.51808i | ||||
\(508\) | −2.50123 | − | 6.27762i | −0.110974 | − | 0.278524i | ||||
\(509\) | −24.8867 | + | 29.2989i | −1.10308 | + | 1.29865i | −0.152458 | + | 0.988310i | \(0.548719\pi\) |
−0.950626 | + | 0.310340i | \(0.899557\pi\) | |||||||
\(510\) | −4.01614 | + | 1.61821i | −0.177838 | + | 0.0716554i | ||||
\(511\) | −0.357473 | + | 1.62402i | −0.0158137 | + | 0.0718422i | ||||
\(512\) | 7.17297 | − | 4.31583i | 0.317003 | − | 0.190735i | ||||
\(513\) | −0.346831 | − | 29.8839i | −0.0153130 | − | 1.31941i | ||||
\(514\) | −20.3591 | + | 10.7937i | −0.898001 | + | 0.476090i | ||||
\(515\) | 0.735401 | + | 0.0799797i | 0.0324056 | + | 0.00352433i | ||||
\(516\) | 5.11617 | + | 5.97622i | 0.225227 | + | 0.263088i | ||||
\(517\) | 1.64747 | + | 5.93367i | 0.0724559 | + | 0.260962i | ||||
\(518\) | 2.78270 | − | 6.01470i | 0.122265 | − | 0.264271i | ||||
\(519\) | −18.1831 | + | 19.3450i | −0.798151 | + | 0.849153i | ||||
\(520\) | 7.75684 | − | 0.843607i | 0.340160 | − | 0.0369946i | ||||
\(521\) | 36.4222 | − | 24.6949i | 1.59569 | − | 1.08190i | 0.648503 | − | 0.761212i | \(-0.275395\pi\) |
0.947184 | − | 0.320690i | \(-0.103915\pi\) | |||||||
\(522\) | −7.89117 | + | 1.35647i | −0.345387 | + | 0.0593710i | ||||
\(523\) | −7.05287 | − | 8.30329i | −0.308401 | − | 0.363077i | 0.586026 | − | 0.810292i | \(-0.300692\pi\) |
−0.894426 | + | 0.447215i | \(0.852416\pi\) | |||||||
\(524\) | −6.86030 | + | 12.9399i | −0.299694 | + | 0.565282i | ||||
\(525\) | −13.0586 | + | 0.758694i | −0.569925 | + | 0.0331121i | ||||
\(526\) | 26.3590 | + | 4.32133i | 1.14931 | + | 0.188419i | ||||
\(527\) | −2.91879 | + | 53.8339i | −0.127145 | + | 2.34504i | ||||
\(528\) | 2.38102 | + | 2.00665i | 0.103620 | + | 0.0873281i | ||||
\(529\) | −18.9241 | + | 17.9259i | −0.822787 | + | 0.779385i | ||||
\(530\) | −2.28290 | −0.0991629 | ||||||||
\(531\) | −19.9499 | + | 11.5326i | −0.865751 | + | 0.500474i | ||||
\(532\) | −9.50599 | −0.412137 | ||||||||
\(533\) | 23.7300 | − | 22.4782i | 1.02786 | − | 0.973641i | ||||
\(534\) | 4.13395 | + | 3.48397i | 0.178893 | + | 0.150766i | ||||
\(535\) | −0.0942655 | + | 1.73863i | −0.00407545 | + | 0.0751673i | ||||
\(536\) | −10.8193 | − | 1.77374i | −0.467323 | − | 0.0766138i | ||||
\(537\) | 43.9680 | − | 2.55450i | 1.89736 | − | 0.110235i | ||||
\(538\) | −2.34933 | + | 4.43130i | −0.101287 | + | 0.191047i | ||||
\(539\) | −7.08161 | − | 8.33711i | −0.305027 | − | 0.359105i | ||||
\(540\) | 1.57410 | + | 1.45678i | 0.0677386 | + | 0.0626900i | ||||
\(541\) | −4.76869 | + | 3.23325i | −0.205022 | + | 0.139008i | −0.659377 | − | 0.751812i | \(-0.729180\pi\) |
0.454355 | + | 0.890821i | \(0.349870\pi\) | |||||||
\(542\) | 29.3575 | − | 3.19282i | 1.26101 | − | 0.137144i | ||||
\(543\) | 5.94750 | − | 6.32755i | 0.255232 | − | 0.271541i | ||||
\(544\) | −14.4924 | + | 31.3248i | −0.621356 | + | 1.34304i | ||||
\(545\) | 1.54877 | + | 5.57817i | 0.0663420 | + | 0.238942i | ||||
\(546\) | −11.4965 | − | 13.4291i | −0.492005 | − | 0.574712i | ||||
\(547\) | 8.96162 | + | 0.974635i | 0.383171 | + | 0.0416724i | 0.297678 | − | 0.954666i | \(-0.403788\pi\) |
0.0854934 | + | 0.996339i | \(0.472753\pi\) | |||||||
\(548\) | −14.7045 | + | 7.79584i | −0.628145 | + | 0.333022i | ||||
\(549\) | 5.53547 | − | 7.39994i | 0.236248 | − | 0.315822i | ||||
\(550\) | −9.62732 | + | 5.79257i | −0.410510 | + | 0.246996i | ||||
\(551\) | 3.40569 | − | 15.4722i | 0.145087 | − | 0.659138i | ||||
\(552\) | −33.3786 | + | 13.4491i | −1.42069 | + | 0.572433i | ||||
\(553\) | 9.73717 | − | 11.4635i | 0.414067 | − | 0.487477i | ||||
\(554\) | −0.294572 | − | 0.739321i | −0.0125152 | − | 0.0314107i | ||||
\(555\) | −0.0114449 | − | 2.95850i | −0.000485811 | − | 0.125581i | ||||
\(556\) | 5.83244 | + | 1.96518i | 0.247351 | + | 0.0833421i | ||||
\(557\) | 7.14631 | + | 21.2095i | 0.302799 | + | 0.898675i | 0.985751 | + | 0.168212i | \(0.0537992\pi\) |
−0.682952 | + | 0.730463i | \(0.739304\pi\) | |||||||
\(558\) | −21.8817 | + | 8.91527i | −0.926328 | + | 0.377413i | ||||
\(559\) | −24.8036 | − | 14.9238i | −1.04908 | − | 0.631212i | ||||
\(560\) | −0.313208 | + | 0.330650i | −0.0132355 | + | 0.0139725i | ||||
\(561\) | −27.3239 | − | 2.86475i | −1.15362 | − | 0.120950i | ||||
\(562\) | 4.08316 | − | 6.78626i | 0.172237 | − | 0.286261i | ||||
\(563\) | −26.3463 | + | 20.0279i | −1.11036 | + | 0.844077i | −0.988909 | − | 0.148520i | \(-0.952549\pi\) |
−0.121455 | + | 0.992597i | \(0.538756\pi\) | |||||||
\(564\) | −3.92745 | − | 2.64076i | −0.165376 | − | 0.111196i | ||||
\(565\) | 0.914953 | − | 2.71548i | 0.0384924 | − | 0.114241i | ||||
\(566\) | −17.4829 | + | 22.9984i | −0.734861 | + | 0.966694i | ||||
\(567\) | 2.05354 | − | 13.8668i | 0.0862406 | − | 0.582349i | ||||
\(568\) | 6.73225 | + | 5.71843i | 0.282479 | + | 0.239940i | ||||
\(569\) | −7.53015 | + | 27.1212i | −0.315680 | + | 1.13698i | 0.620137 | + | 0.784493i | \(0.287077\pi\) |
−0.935818 | + | 0.352485i | \(0.885337\pi\) | |||||||
\(570\) | 3.40155 | − | 1.58973i | 0.142475 | − | 0.0665864i | ||||
\(571\) | −1.98089 | − | 3.29226i | −0.0828976 | − | 0.137777i | 0.812635 | − | 0.582773i | \(-0.198032\pi\) |
−0.895532 | + | 0.444997i | \(0.853205\pi\) | |||||||
\(572\) | 15.9430 | + | 6.35228i | 0.666611 | + | 0.265602i | ||||
\(573\) | 13.0361 | − | 28.4655i | 0.544591 | − | 1.18916i | ||||
\(574\) | −0.788652 | + | 7.25154i | −0.0329177 | + | 0.302673i | ||||
\(575\) | −1.83877 | − | 33.9140i | −0.0766818 | − | 1.41431i | ||||
\(576\) | −19.6365 | + | 0.151930i | −0.818186 | + | 0.00633040i | ||||
\(577\) | −40.1573 | − | 18.5788i | −1.67177 | − | 0.773444i | −0.999449 | − | 0.0331860i | \(-0.989435\pi\) |
−0.672323 | − | 0.740258i | \(-0.734703\pi\) | |||||||
\(578\) | 4.23121 | + | 25.8092i | 0.175995 | + | 1.07352i | ||||
\(579\) | 13.2075 | + | 13.8354i | 0.548885 | + | 0.574980i | ||||
\(580\) | 0.638039 | + | 0.941037i | 0.0264931 | + | 0.0390745i | ||||
\(581\) | 16.0864 | − | 7.44236i | 0.667377 | − | 0.308761i | ||||
\(582\) | 6.88373 | + | 1.48733i | 0.285340 | + | 0.0616517i | ||||
\(583\) | −12.7979 | − | 6.78503i | −0.530036 | − | 0.281007i | ||||
\(584\) | −2.62103 | − | 1.77710i | −0.108459 | − | 0.0735371i | ||||
\(585\) | −7.18781 | − | 3.25816i | −0.297179 | − | 0.134708i | ||||
\(586\) | 13.2590 | + | 0.718881i | 0.547723 | + | 0.0296967i | ||||
\(587\) | 29.5588 | − | 6.50638i | 1.22002 | − | 0.268547i | 0.442133 | − | 0.896949i | \(-0.354222\pi\) |
0.777889 | + | 0.628402i | \(0.216291\pi\) | |||||||
\(588\) | 8.30121 | + | 1.32796i | 0.342336 | + | 0.0547641i | ||||
\(589\) | − | 46.7511i | − | 1.92635i | ||||||
\(590\) | −2.35443 | − | 1.68463i | −0.0969303 | − | 0.0693552i | ||||
\(591\) | 11.3349 | − | 8.68596i | 0.466256 | − | 0.357293i | ||||
\(592\) | 2.27011 | + | 2.39653i | 0.0933010 | + | 0.0984966i | ||||
\(593\) | −2.65354 | − | 12.0552i | −0.108968 | − | 0.495046i | −0.999217 | − | 0.0395715i | \(-0.987401\pi\) |
0.890249 | − | 0.455474i | \(-0.150530\pi\) | |||||||
\(594\) | −3.97680 | − | 11.3651i | −0.163170 | − | 0.466315i | ||||
\(595\) | 0.650111 | − | 3.96550i | 0.0266520 | − | 0.162570i | ||||
\(596\) | −8.67879 | + | 12.8003i | −0.355497 | + | 0.524319i | ||||
\(597\) | −9.94899 | + | 1.67060i | −0.407185 | + | 0.0683731i | ||||
\(598\) | 34.9838 | − | 29.7155i | 1.43059 | − | 1.21516i | ||||
\(599\) | −15.8232 | − | 34.2013i | −0.646519 | − | 1.39743i | −0.902476 | − | 0.430740i | \(-0.858253\pi\) |
0.255957 | − | 0.966688i | \(-0.417609\pi\) | |||||||
\(600\) | 7.86235 | − | 23.6364i | 0.320979 | − | 0.964952i | ||||
\(601\) | 2.29052 | + | 21.0610i | 0.0934323 | + | 0.859096i | 0.943264 | + | 0.332043i | \(0.107738\pi\) |
−0.849832 | + | 0.527054i | \(0.823297\pi\) | |||||||
\(602\) | 6.37481 | − | 1.04510i | 0.259818 | − | 0.0425950i | ||||
\(603\) | 8.50698 | + | 7.11332i | 0.346431 | + | 0.289677i | ||||
\(604\) | 0.676679 | − | 0.187879i | 0.0275337 | − | 0.00764468i | ||||
\(605\) | −2.05109 | + | 0.111207i | −0.0833887 | + | 0.00452120i | ||||
\(606\) | 10.7985 | + | 17.7910i | 0.438658 | + | 0.722712i | ||||
\(607\) | 15.3781 | + | 29.0062i | 0.624178 | + | 1.17732i | 0.970929 | + | 0.239367i | \(0.0769399\pi\) |
−0.346752 | + | 0.937957i | \(0.612715\pi\) | |||||||
\(608\) | 11.0782 | − | 27.8041i | 0.449279 | − | 1.12760i | ||||
\(609\) | 2.72376 | − | 6.91379i | 0.110372 | − | 0.280161i | ||||
\(610\) | 1.13387 | + | 0.249585i | 0.0459093 | + | 0.0101054i | ||||
\(611\) | 16.7795 | + | 4.65880i | 0.678825 | + | 0.188475i | ||||
\(612\) | 17.3839 | − | 11.9839i | 0.702702 | − | 0.484422i | ||||
\(613\) | −8.00819 | + | 3.19075i | −0.323448 | + | 0.128873i | −0.526210 | − | 0.850355i | \(-0.676387\pi\) |
0.202762 | + | 0.979228i | \(0.435008\pi\) | |||||||
\(614\) | −6.62986 | − | 5.03989i | −0.267559 | − | 0.203393i | ||||
\(615\) | 1.05168 | + | 3.08182i | 0.0424077 | + | 0.124271i | ||||
\(616\) | −10.4700 | + | 3.52776i | −0.421849 | + | 0.142137i | ||||
\(617\) | 4.46183 | + | 5.86943i | 0.179626 | + | 0.236294i | 0.877090 | − | 0.480325i | \(-0.159481\pi\) |
−0.697464 | + | 0.716620i | \(0.745688\pi\) | |||||||
\(618\) | 3.17156 | − | 0.357347i | 0.127579 | − | 0.0143746i | ||||
\(619\) | −0.678109 | − | 0.642339i | −0.0272555 | − | 0.0258178i | 0.673951 | − | 0.738776i | \(-0.264596\pi\) |
−0.701206 | + | 0.712959i | \(0.747355\pi\) | |||||||
\(620\) | 2.43579 | + | 2.30730i | 0.0978236 | + | 0.0926634i | ||||
\(621\) | 35.9841 | + | 5.47126i | 1.44399 | + | 0.219554i | ||||
\(622\) | −3.67946 | − | 4.84025i | −0.147533 | − | 0.194076i | ||||
\(623\) | −4.75474 | + | 1.60206i | −0.190494 | + | 0.0641851i | ||||
\(624\) | 8.33352 | − | 2.84384i | 0.333608 | − | 0.113845i | ||||
\(625\) | 18.1137 | + | 13.7697i | 0.724550 | + | 0.550788i | ||||
\(626\) | 4.77848 | − | 1.90392i | 0.190987 | − | 0.0760960i | ||||
\(627\) | 23.7939 | + | 1.19777i | 0.950237 | + | 0.0478343i | ||||
\(628\) | 8.42954 | + | 2.34045i | 0.336375 | + | 0.0933941i | ||||
\(629\) | −28.4444 | − | 6.26110i | −1.13415 | − | 0.249646i | ||||
\(630\) | 1.69325 | − | 0.484271i | 0.0674609 | − | 0.0192938i | ||||
\(631\) | 7.41668 | − | 18.6145i | 0.295253 | − | 0.741030i | −0.704263 | − | 0.709939i | \(-0.748723\pi\) |
0.999517 | − | 0.0310909i | \(-0.00989815\pi\) | |||||||
\(632\) | 13.4164 | + | 25.3059i | 0.533674 | + | 1.00662i | ||||
\(633\) | 2.88184 | − | 1.74917i | 0.114543 | − | 0.0695232i | ||||
\(634\) | 11.8184 | − | 0.640777i | 0.469370 | − | 0.0254485i | ||||
\(635\) | −2.38684 | + | 0.662702i | −0.0947188 | + | 0.0262985i | ||||
\(636\) | 10.8628 | − | 2.43517i | 0.430736 | − | 0.0965607i | ||||
\(637\) | −30.5256 | + | 5.00442i | −1.20947 | + | 0.198282i | ||||
\(638\) | −0.690107 | − | 6.34542i | −0.0273216 | − | 0.251218i | ||||
\(639\) | −2.91809 | − | 8.44409i | −0.115438 | − | 0.334043i | ||||
\(640\) | 0.663953 | + | 1.43511i | 0.0262450 | + | 0.0567277i | ||||
\(641\) | −12.9705 | + | 11.0173i | −0.512305 | + | 0.435155i | −0.865881 | − | 0.500250i | \(-0.833241\pi\) |
0.353576 | + | 0.935406i | \(0.384965\pi\) | |||||||
\(642\) | 1.24404 | + | 7.40867i | 0.0490983 | + | 0.292397i | ||||
\(643\) | −13.9379 | + | 20.5569i | −0.549657 | + | 0.810683i | −0.996470 | − | 0.0839439i | \(-0.973248\pi\) |
0.446814 | + | 0.894627i | \(0.352559\pi\) | |||||||
\(644\) | 1.87299 | − | 11.4247i | 0.0738062 | − | 0.450198i | ||||
\(645\) | 2.38064 | − | 1.62759i | 0.0937375 | − | 0.0640863i | ||||
\(646\) | −7.94605 | − | 36.0993i | −0.312633 | − | 1.42031i | ||||
\(647\) | −17.0796 | − | 18.0308i | −0.671470 | − | 0.708863i | 0.297864 | − | 0.954608i | \(-0.403726\pi\) |
−0.969334 | + | 0.245746i | \(0.920967\pi\) | |||||||
\(648\) | 23.0838 | + | 13.4070i | 0.906819 | + | 0.526678i | ||||
\(649\) | −8.19200 | − | 16.4417i | −0.321564 | − | 0.645391i | ||||
\(650\) | 31.7726i | 1.24622i | ||||||||
\(651\) | 3.46392 | − | 21.6533i | 0.135762 | − | 0.848660i | ||||
\(652\) | −0.873159 | + | 0.192197i | −0.0341955 | + | 0.00752701i | ||||
\(653\) | 13.7515 | + | 0.745587i | 0.538140 | + | 0.0291771i | 0.321206 | − | 0.947009i | \(-0.395912\pi\) |
0.216934 | + | 0.976186i | \(0.430395\pi\) | |||||||
\(654\) | 11.7850 | + | 22.0226i | 0.460831 | + | 0.861153i | ||||
\(655\) | 4.44369 | + | 3.01290i | 0.173630 | + | 0.117724i | ||||
\(656\) | −3.21006 | − | 1.70187i | −0.125332 | − | 0.0664467i | ||||
\(657\) | 1.36731 | + | 2.89637i | 0.0533438 | + | 0.112998i | ||||
\(658\) | −3.52701 | + | 1.63177i | −0.137497 | + | 0.0636130i | ||||
\(659\) | −9.42895 | − | 13.9067i | −0.367300 | − | 0.541727i | 0.598464 | − | 0.801150i | \(-0.295778\pi\) |
−0.965764 | + | 0.259423i | \(0.916468\pi\) | |||||||
\(660\) | −1.23670 | + | 1.18058i | −0.0481386 | + | 0.0459539i | ||||
\(661\) | −7.49535 | − | 45.7196i | −0.291535 | − | 1.77829i | −0.573845 | − | 0.818964i | \(-0.694549\pi\) |
0.282310 | − | 0.959323i | \(-0.408899\pi\) | |||||||
\(662\) | 1.66857 | + | 0.771963i | 0.0648508 | + | 0.0300032i | ||||
\(663\) | −46.7771 | + | 62.0309i | −1.81667 | + | 2.40908i | ||||
\(664\) | 1.82737 | + | 33.7039i | 0.0709157 | + | 1.30796i | ||||
\(665\) | −0.376754 | + | 3.46420i | −0.0146099 | + | 0.134336i | ||||
\(666\) | −2.84039 | − | 12.4446i | −0.110063 | − | 0.482219i | ||||
\(667\) | 17.9242 | + | 7.14164i | 0.694026 | + | 0.276525i | ||||
\(668\) | 4.60404 | + | 7.65197i | 0.178136 | + | 0.296064i | ||||
\(669\) | 1.44376 | + | 3.08922i | 0.0558190 | + | 0.119436i | ||||
\(670\) | −0.372713 | + | 1.34239i | −0.0143992 | + | 0.0518611i | ||||
\(671\) | 5.61470 | + | 4.76917i | 0.216753 | + | 0.184112i | ||||
\(672\) | 7.19106 | − | 12.0570i | 0.277401 | − | 0.465108i | ||||
\(673\) | 20.2408 | − | 26.6264i | 0.780227 | − | 1.02637i | −0.218495 | − | 0.975838i | \(-0.570115\pi\) |
0.998722 | − | 0.0505332i | \(-0.0160921\pi\) | |||||||
\(674\) | 6.05517 | − | 17.9711i | 0.233236 | − | 0.692221i | ||||
\(675\) | −19.0118 | + | 16.5324i | −0.731763 | + | 0.636331i | ||||
\(676\) | 27.6535 | − | 21.0216i | 1.06359 | − | 0.808524i | ||||
\(677\) | 9.96760 | − | 16.5663i | 0.383086 | − | 0.636694i | −0.603982 | − | 0.796998i | \(-0.706420\pi\) |
0.987068 | + | 0.160304i | \(0.0512475\pi\) | |||||||
\(678\) | 1.28914 | − | 12.2958i | 0.0495093 | − | 0.472219i | ||||
\(679\) | −4.49481 | + | 4.74511i | −0.172495 | + | 0.182101i | ||||
\(680\) | 6.55703 | + | 3.94523i | 0.251450 | + | 0.151293i | ||||
\(681\) | −10.3512 | − | 2.83093i | −0.396661 | − | 0.108481i | ||||
\(682\) | −6.01424 | − | 17.8496i | −0.230297 | − | 0.683498i | ||||
\(683\) | 35.2363 | + | 11.8725i | 1.34828 | + | 0.454288i | 0.898548 | − | 0.438876i | \(-0.144623\pi\) |
0.449732 | + | 0.893164i | \(0.351520\pi\) | |||||||
\(684\) | −14.4899 | + | 11.1928i | −0.554034 | + | 0.427969i | ||||
\(685\) | 2.25819 | + | 5.66763i | 0.0862810 | + | 0.216549i | ||||
\(686\) | 11.3082 | − | 13.3130i | 0.431749 | − | 0.508294i | ||||
\(687\) | −9.86364 | − | 24.4800i | −0.376322 | − | 0.933972i | ||||
\(688\) | −0.691708 | + | 3.14246i | −0.0263711 | + | 0.119805i | ||||
\(689\) | −35.0987 | + | 21.1182i | −1.33715 | + | 0.804538i | ||||
\(690\) | 1.24039 | + | 4.40136i | 0.0472209 | + | 0.167557i | ||||
\(691\) | −5.02110 | + | 2.66202i | −0.191012 | + | 0.101268i | −0.561170 | − | 0.827701i | \(-0.689648\pi\) |
0.370158 | + | 0.928969i | \(0.379304\pi\) | |||||||
\(692\) | 16.1699 | + | 1.75858i | 0.614686 | + | 0.0668511i | ||||
\(693\) | 10.9317 | + | 2.31772i | 0.415260 | + | 0.0880428i | ||||
\(694\) | 4.77863 | + | 17.2111i | 0.181394 | + | 0.653324i | ||||
\(695\) | 0.947314 | − | 2.04759i | 0.0359337 | − | 0.0776694i | ||||
\(696\) | 10.3111 | + | 9.69181i | 0.390842 | + | 0.367367i | ||||
\(697\) | 31.8692 | − | 3.46598i | 1.20713 | − | 0.131283i | ||||
\(698\) | −16.7587 | + | 11.3627i | −0.634327 | + | 0.430084i | ||||
\(699\) | 13.4676 | + | 7.07346i | 0.509391 | + | 0.267543i | ||||
\(700\) | 5.18802 | + | 6.10781i | 0.196089 | + | 0.230853i | ||||
\(701\) | 3.94099 | − | 7.43350i | 0.148849 | − | 0.280760i | −0.797864 | − | 0.602838i | \(-0.794037\pi\) |
0.946713 | + | 0.322078i | \(0.104381\pi\) | |||||||
\(702\) | −33.3361 | − | 6.93321i | −1.25819 | − | 0.261677i | ||||
\(703\) | 24.9236 | + | 4.08602i | 0.940011 | + | 0.154107i | ||||
\(704\) | 0.847490 | − | 15.6310i | 0.0319410 | − | 0.589117i | ||||
\(705\) | −1.11801 | + | 1.32659i | −0.0421067 | + | 0.0499622i | ||||
\(706\) | 4.54607 | − | 4.30626i | 0.171094 | − | 0.162068i | ||||
\(707\) | −19.3147 | −0.726406 | ||||||||
\(708\) | 13.0001 | + | 5.50454i | 0.488574 | + | 0.206873i | ||||
\(709\) | 11.2534 | 0.422630 | 0.211315 | − | 0.977418i | \(-0.432225\pi\) | ||||
0.211315 | + | 0.977418i | \(0.432225\pi\) | |||||||
\(710\) | 0.814879 | − | 0.771894i | 0.0305819 | − | 0.0289687i | ||||
\(711\) | 1.34454 | − | 28.9387i | 0.0504243 | − | 1.08529i | ||||
\(712\) | 0.517282 | − | 9.54070i | 0.0193860 | − | 0.357553i | ||||
\(713\) | 56.1876 | + | 9.21149i | 2.10424 | + | 0.344973i | ||||
\(714\) | −1.00561 | − | 17.3085i | −0.0376340 | − | 0.647756i | ||||
\(715\) | 2.94679 | − | 5.55823i | 0.110204 | − | 0.207866i | ||||
\(716\) | −17.4679 | − | 20.5648i | −0.652807 | − | 0.768544i | ||||
\(717\) | 4.39659 | − | 8.37093i | 0.164194 | − | 0.312618i | ||||
\(718\) | −11.8693 | + | 8.04758i | −0.442958 | + | 0.300333i | ||||
\(719\) | 23.2266 | − | 2.52605i | 0.866208 | − | 0.0942058i | 0.335785 | − | 0.941939i | \(-0.390999\pi\) |
0.530423 | + | 0.847733i | \(0.322033\pi\) | |||||||
\(720\) | −0.0880949 | + | 0.872792i | −0.00328310 | + | 0.0325271i | ||||
\(721\) | −1.24373 | + | 2.68829i | −0.0463191 | + | 0.100117i | ||||
\(722\) | 3.64991 | + | 13.1458i | 0.135835 | + | 0.489235i | ||||
\(723\) | 25.2508 | − | 21.6169i | 0.939087 | − | 0.803942i | ||||
\(724\) | −5.28898 | − | 0.575211i | −0.196563 | − | 0.0213776i | ||||
\(725\) | −11.7999 | + | 6.25592i | −0.438238 | + | 0.232339i | ||||
\(726\) | −8.53024 | + | 2.40399i | −0.316587 | + | 0.0892204i | ||||
\(727\) | −17.1081 | + | 10.2936i | −0.634506 | + | 0.381770i | −0.796167 | − | 0.605077i | \(-0.793142\pi\) |
0.161661 | + | 0.986846i | \(0.448315\pi\) | |||||||
\(728\) | −6.71633 | + | 30.5126i | −0.248924 | + | 1.13087i | ||||
\(729\) | −13.1973 | − | 23.5549i | −0.488788 | − | 0.872403i | ||||
\(730\) | −0.260504 | + | 0.306689i | −0.00964169 | + | 0.0113511i | ||||
\(731\) | −10.5083 | − | 26.3738i | −0.388662 | − | 0.975469i | ||||
\(732\) | −5.66156 | + | 0.0219017i | −0.209257 | + | 0.000809512i | ||||
\(733\) | −41.1124 | − | 13.8524i | −1.51852 | − | 0.511649i | −0.568191 | − | 0.822897i | \(-0.692357\pi\) |
−0.950329 | + | 0.311248i | \(0.899253\pi\) | |||||||
\(734\) | 5.61271 | + | 16.6579i | 0.207169 | + | 0.614855i | ||||
\(735\) | 0.812943 | − | 2.97252i | 0.0299858 | − | 0.109643i | ||||
\(736\) | 31.2335 | + | 18.7926i | 1.15128 | + | 0.692703i | ||||
\(737\) | −6.07916 | + | 6.41769i | −0.223929 | + | 0.236399i | ||||
\(738\) | 7.33620 | + | 11.9820i | 0.270049 | + | 0.441064i | ||||
\(739\) | −12.2569 | + | 20.3712i | −0.450879 | + | 0.749366i | −0.996034 | − | 0.0889685i | \(-0.971643\pi\) |
0.545156 | + | 0.838335i | \(0.316471\pi\) | |||||||
\(740\) | −1.44294 | + | 1.09689i | −0.0530434 | + | 0.0403226i | ||||
\(741\) | 37.5915 | − | 55.9078i | 1.38096 | − | 2.05382i | ||||
\(742\) | 2.91879 | − | 8.66267i | 0.107152 | − | 0.318017i | ||||
\(743\) | −14.4375 | + | 18.9923i | −0.529662 | + | 0.696758i | −0.980649 | − | 0.195772i | \(-0.937279\pi\) |
0.450988 | + | 0.892530i | \(0.351072\pi\) | |||||||
\(744\) | 35.8647 | + | 21.3905i | 1.31486 | + | 0.784215i | ||||
\(745\) | 4.32073 | + | 3.67006i | 0.158299 | + | 0.134461i | ||||
\(746\) | 1.65190 | − | 5.94960i | 0.0604803 | − | 0.217831i | ||||
\(747\) | 15.7573 | − | 30.2853i | 0.576529 | − | 1.10808i | ||||
\(748\) | 8.67761 | + | 14.4223i | 0.317285 | + | 0.527331i | ||||
\(749\) | −6.47685 | − | 2.58061i | −0.236659 | − | 0.0942935i | ||||
\(750\) | −5.84555 | − | 2.67704i | −0.213449 | − | 0.0977515i | ||||
\(751\) | 0.910982 | − | 8.37634i | 0.0332422 | − | 0.305657i | −0.965699 | − | 0.259662i | \(-0.916389\pi\) |
0.998942 | − | 0.0459947i | \(-0.0146457\pi\) | |||||||
\(752\) | −0.104797 | − | 1.93288i | −0.00382157 | − | 0.0704847i | ||||
\(753\) | 13.2215 | + | 9.97029i | 0.481820 | + | 0.363337i | ||||
\(754\) | −16.3814 | − | 7.57886i | −0.596577 | − | 0.276006i | ||||
\(755\) | −0.0416483 | − | 0.254043i | −0.00151574 | − | 0.00924557i | ||||
\(756\) | −7.54046 | + | 4.11051i | −0.274244 | + | 0.149498i | ||||
\(757\) | −21.5667 | − | 31.8085i | −0.783854 | − | 1.15610i | −0.984319 | − | 0.176397i | \(-0.943556\pi\) |
0.200465 | − | 0.979701i | \(-0.435755\pi\) | |||||||
\(758\) | −21.0075 | + | 9.71909i | −0.763026 | + | 0.353013i | ||||
\(759\) | −6.12771 | + | 28.3606i | −0.222422 | + | 1.02942i | ||||
\(760\) | −5.86286 | − | 3.10829i | −0.212668 | − | 0.112750i | ||||
\(761\) | 1.04718 | + | 0.710004i | 0.0379601 | + | 0.0257376i | 0.580020 | − | 0.814603i | \(-0.303045\pi\) |
−0.542059 | + | 0.840340i | \(0.682355\pi\) | |||||||
\(762\) | −9.42325 | + | 5.04269i | −0.341368 | + | 0.182677i | ||||
\(763\) | −23.1470 | − | 1.25499i | −0.837978 | − | 0.0454339i | ||||
\(764\) | −18.7326 | + | 4.12336i | −0.677722 | + | 0.149178i | ||||
\(765\) | −3.67823 | − | 6.81004i | −0.132987 | − | 0.246218i | ||||
\(766\) | 11.3336i | 0.409498i | ||||||||
\(767\) | −51.7822 | − | 4.12069i | −1.86975 | − | 0.148789i | ||||
\(768\) | 17.9417 | + | 23.4134i | 0.647416 | + | 0.844857i | ||||
\(769\) | −3.59995 | − | 3.80042i | −0.129817 | − | 0.137047i | 0.657846 | − | 0.753153i | \(-0.271468\pi\) |
−0.787663 | + | 0.616106i | \(0.788709\pi\) | |||||||
\(770\) | 0.301802 | + | 1.37110i | 0.0108762 | + | 0.0494111i | ||||
\(771\) | −23.2477 | − | 34.0038i | −0.837245 | − | 1.22462i | ||||
\(772\) | 1.89581 | − | 11.5639i | 0.0682317 | − | 0.416195i | ||||
\(773\) | 5.15149 | − | 7.59788i | 0.185286 | − | 0.273277i | −0.723690 | − | 0.690126i | \(-0.757555\pi\) |
0.908976 | + | 0.416849i | \(0.136866\pi\) | |||||||
\(774\) | 8.48649 | − | 9.09906i | 0.305041 | − | 0.327059i | ||||
\(775\) | −30.0386 | + | 25.5150i | −1.07902 | + | 0.916526i | ||||
\(776\) | −5.22622 | − | 11.2963i | −0.187610 | − | 0.405513i | ||||
\(777\) | 11.2409 | + | 3.73915i | 0.403266 | + | 0.134141i | ||||
\(778\) | 3.84811 | + | 35.3828i | 0.137961 | + | 1.26853i | ||||
\(779\) | −27.4324 | + | 4.49731i | −0.982866 | + | 0.161133i | ||||
\(780\) | 1.05761 | + | 4.71777i | 0.0378686 | + | 0.168923i | ||||
\(781\) | 6.86236 | − | 1.90532i | 0.245555 | − | 0.0681779i | ||||
\(782\) | 44.9514 | − | 2.43719i | 1.60746 | − | 0.0871538i | ||||
\(783\) | −3.98886 | − | 13.7457i | −0.142550 | − | 0.491231i | ||||
\(784\) | 1.61059 | + | 3.03790i | 0.0575211 | + | 0.108496i | ||||
\(785\) | 1.18700 | − | 2.97915i | 0.0423660 | − | 0.106331i | ||||
\(786\) | 21.5517 | + | 8.49053i | 0.768724 | + | 0.302847i | ||||
\(787\) | −29.6497 | − | 6.52640i | −1.05690 | − | 0.232641i | −0.347669 | − | 0.937618i | \(-0.613027\pi\) |
−0.709231 | + | 0.704976i | \(0.750958\pi\) | |||||||
\(788\) | −8.42985 | − | 2.34054i | −0.300301 | − | 0.0833781i | ||||
\(789\) | −2.40051 | + | 47.6866i | −0.0854605 | + | 1.69769i | ||||
\(790\) | 3.38112 | − | 1.34716i | 0.120295 | − | 0.0479299i | ||||
\(791\) | 9.13433 | + | 6.94374i | 0.324780 | + | 0.246891i | ||||
\(792\) | −11.8055 | + | 17.7053i | −0.419492 | + | 0.629129i | ||||
\(793\) | 19.7417 | − | 6.65175i | 0.701047 | − | 0.236210i | ||||
\(794\) | −11.1803 | − | 14.7075i | −0.396775 | − | 0.521948i | ||||
\(795\) | −0.456903 | − | 4.05514i | −0.0162047 | − | 0.143821i | ||||
\(796\) | 4.48704 | + | 4.25035i | 0.159039 | + | 0.150650i | ||||
\(797\) | 12.6571 | + | 11.9895i | 0.448338 | + | 0.424688i | 0.878264 | − | 0.478176i | \(-0.158702\pi\) |
−0.429926 | + | 0.902864i | \(0.641460\pi\) | |||||||
\(798\) | 1.68333 | + | 14.9400i | 0.0595892 | + | 0.528871i | ||||
\(799\) | 10.3358 | + | 13.5965i | 0.365655 | + | 0.481011i | ||||
\(800\) | −23.9108 | + | 8.05648i | −0.845374 | + | 0.284840i | ||||
\(801\) | −5.36124 | + | 8.04047i | −0.189430 | + | 0.284096i | ||||
\(802\) | −6.14949 | − | 4.67472i | −0.217146 | − | 0.165070i | ||||
\(803\) | −2.37190 | + | 0.945051i | −0.0837025 | + | 0.0333501i | ||||
\(804\) | 0.341557 | − | 6.78509i | 0.0120458 | − | 0.239292i | ||||
\(805\) | −4.08920 | − | 1.13536i | −0.144125 | − | 0.0400162i | ||||
\(806\) | −52.0189 | − | 11.4502i | −1.83229 | − | 0.403317i | ||||
\(807\) | −8.34157 | − | 3.28625i | −0.293637 | − | 0.115682i | ||||
\(808\) | 13.6143 | − | 34.1692i | 0.478948 | − | 1.20207i | ||||
\(809\) | 6.29275 | + | 11.8694i | 0.221241 | + | 0.417305i | 0.969141 | − | 0.246506i | \(-0.0792826\pi\) |
−0.747900 | + | 0.663811i | \(0.768938\pi\) | |||||||
\(810\) | 2.01080 | − | 2.73189i | 0.0706523 | − | 0.0959890i | ||||
\(811\) | 48.5565 | − | 2.63266i | 1.70505 | − | 0.0924452i | 0.824339 | − | 0.566097i | \(-0.191547\pi\) |
0.880712 | + | 0.473652i | \(0.157064\pi\) | |||||||
\(812\) | −4.38661 | + | 1.21794i | −0.153940 | + | 0.0427412i | ||||
\(813\) | 11.5471 | + | 51.5091i | 0.404975 | + | 1.80650i | ||||
\(814\) | 10.0415 | − | 1.64622i | 0.351955 | − | 0.0577000i | ||||
\(815\) | 0.0354346 | + | 0.325816i | 0.00124122 | + | 0.0114128i | ||||
\(816\) | 8.19447 | + | 2.72579i | 0.286864 | + | 0.0954216i | ||||
\(817\) | 10.3371 | + | 22.3433i | 0.361651 | + | 0.781695i | ||||
\(818\) | −8.13463 | + | 6.90962i | −0.284421 | + | 0.241589i | ||||
\(819\) | 21.5533 | − | 23.1091i | 0.753134 | − | 0.807496i | ||||
\(820\) | 1.11955 | − | 1.65121i | 0.0390964 | − | 0.0576629i | ||||
\(821\) | 6.47098 | − | 39.4712i | 0.225839 | − | 1.37756i | −0.593771 | − | 0.804634i | \(-0.702362\pi\) |
0.819610 | − | 0.572922i | \(-0.194190\pi\) | |||||||
\(822\) | 14.8561 | + | 21.7297i | 0.518168 | + | 0.757911i | ||||
\(823\) | 2.10478 | + | 9.56212i | 0.0733681 | + | 0.333314i | 0.998980 | − | 0.0451601i | \(-0.0143798\pi\) |
−0.925612 | + | 0.378475i | \(0.876449\pi\) | |||||||
\(824\) | −3.87911 | − | 4.09513i | −0.135135 | − | 0.142661i | ||||
\(825\) | −12.2162 | − | 15.9418i | −0.425315 | − | 0.555022i | ||||
\(826\) | 9.40273 | − | 6.78021i | 0.327163 | − | 0.235914i | ||||
\(827\) | 40.4939i | 1.40811i | 0.710145 | + | 0.704056i | \(0.248630\pi\) | ||||
−0.710145 | + | 0.704056i | \(0.751370\pi\) | |||||||
\(828\) | −10.5971 | − | 19.6199i | −0.368275 | − | 0.681840i | ||||
\(829\) | 21.1655 | − | 4.65887i | 0.735107 | − | 0.161809i | 0.168388 | − | 0.985721i | \(-0.446144\pi\) |
0.566719 | + | 0.823911i | \(0.308213\pi\) | |||||||
\(830\) | 4.28278 | + | 0.232206i | 0.148657 | + | 0.00805997i | ||||
\(831\) | 1.25431 | − | 0.671221i | 0.0435115 | − | 0.0232844i | ||||
\(832\) | −36.6393 | − | 24.8421i | −1.27024 | − | 0.861244i | ||||
\(833\) | −26.8038 | − | 14.2105i | −0.928697 | − | 0.492364i | ||||
\(834\) | 2.05574 | − | 9.51451i | 0.0711846 | − | 0.329460i | ||||
\(835\) | 2.97102 | − | 1.37454i | 0.102817 | − | 0.0475680i | ||||
\(836\) | −8.19091 | − | 12.0807i | −0.283288 | − | 0.417819i | ||||
\(837\) | −20.2157 | − | 37.0845i | −0.698758 | − | 1.28183i | ||||
\(838\) | 2.04403 | + | 12.4680i | 0.0706098 | + | 0.430701i | ||||
\(839\) | −12.1886 | − | 5.63903i | −0.420796 | − | 0.194681i | 0.198053 | − | 0.980191i | \(-0.436538\pi\) |
−0.618848 | + | 0.785511i | \(0.712400\pi\) | |||||||
\(840\) | −2.48515 | − | 1.87404i | −0.0857458 | − | 0.0646604i | ||||
\(841\) | 1.15926 | + | 21.3814i | 0.0399746 | + | 0.737288i | ||||
\(842\) | 0.661531 | − | 6.08268i | 0.0227979 | − | 0.209623i | ||||
\(843\) | 12.8717 | + | 5.89475i | 0.443325 | + | 0.203026i | ||||
\(844\) | −1.91863 | − | 0.764452i | −0.0660420 | − | 0.0263135i | ||||
\(845\) | −6.56475 | − | 10.9107i | −0.225834 | − | 0.375339i | ||||
\(846\) | −3.45485 | + | 6.64017i | −0.118780 | + | 0.228294i | ||||
\(847\) | 2.20043 | − | 7.92523i | 0.0756076 | − | 0.272314i | ||||
\(848\) | 3.47030 | + | 2.94770i | 0.119170 | + | 0.101224i | ||||
\(849\) | −44.3513 | − | 26.4522i | −1.52213 | − | 0.907836i | ||||
\(850\) | −18.8579 | + | 24.8071i | −0.646820 | + | 0.850878i | ||||
\(851\) | −9.82152 | + | 29.1492i | −0.336677 | + | 0.999223i | ||||
\(852\) | −3.05407 | + | 4.54214i | −0.104631 | + | 0.155611i | ||||
\(853\) | 28.2769 | − | 21.4955i | 0.968182 | − | 0.735993i | 0.00365964 | − | 0.999993i | \(-0.498835\pi\) |
0.964523 | + | 0.264000i | \(0.0850420\pi\) | |||||||
\(854\) | −2.39678 | + | 3.98348i | −0.0820162 | + | 0.136312i | ||||
\(855\) | 3.50464 | + | 5.72404i | 0.119856 | + | 0.195758i | ||||
\(856\) | 9.13058 | − | 9.63903i | 0.312077 | − | 0.329455i | ||||
\(857\) | −48.0555 | − | 28.9140i | −1.64154 | − | 0.987685i | −0.968811 | − | 0.247800i | \(-0.920292\pi\) |
−0.672734 | − | 0.739885i | \(-0.734880\pi\) | |||||||
\(858\) | 7.16030 | − | 26.1816i | 0.244449 | − | 0.893824i | ||||
\(859\) | 14.9361 | + | 44.3289i | 0.509615 | + | 1.51248i | 0.825899 | + | 0.563818i | \(0.190668\pi\) |
−0.316284 | + | 0.948665i | \(0.602435\pi\) | |||||||
\(860\) | −1.67428 | − | 0.564131i | −0.0570925 | − | 0.0192367i | ||||
\(861\) | −13.0388 | + | 0.0504407i | −0.444362 | + | 0.00171902i | ||||
\(862\) | −0.0496037 | − | 0.124496i | −0.00168951 | − | 0.00424035i | ||||
\(863\) | 19.1351 | − | 22.5276i | 0.651366 | − | 0.766848i | −0.333010 | − | 0.942923i | \(-0.608064\pi\) |
0.984377 | + | 0.176076i | \(0.0563403\pi\) | |||||||
\(864\) | −3.23527 | − | 26.8454i | −0.110066 | − | 0.913300i | ||||
\(865\) | 1.28173 | − | 5.82296i | 0.0435802 | − | 0.197987i | ||||
\(866\) | −0.778836 | + | 0.468610i | −0.0264659 | + | 0.0159240i | ||||
\(867\) | −44.9984 | + | 12.6814i | −1.52823 | + | 0.430684i | ||||
\(868\) | −11.8695 | + | 6.29282i | −0.402878 | + | 0.213592i | ||||
\(869\) | 22.9585 | + | 2.49688i | 0.778812 | + | 0.0847009i | ||||
\(870\) | 1.36599 | − | 1.16941i | 0.0463114 | − | 0.0396467i | ||||
\(871\) | 6.68760 | + | 24.0866i | 0.226601 | + | 0.816142i | ||||
\(872\) | 18.5356 | − | 40.0641i | 0.627696 | − | 1.35674i | ||||
\(873\) | −1.26424 | + | 12.5253i | −0.0427880 | + | 0.423918i | ||||
\(874\) | −38.8084 | + | 4.22066i | −1.31271 | + | 0.142766i | ||||
\(875\) | 4.93875 | − | 3.34856i | 0.166960 | − | 0.113202i | ||||
\(876\) | 0.912415 | − | 1.73720i | 0.0308276 | − | 0.0586946i | ||||
\(877\) | 23.9145 | + | 28.1543i | 0.807535 | + | 0.950704i | 0.999529 | − | 0.0306922i | \(-0.00977115\pi\) |
−0.191994 | + | 0.981396i | \(0.561495\pi\) | |||||||
\(878\) | −10.5967 | + | 19.9876i | −0.357623 | + | 0.674548i | ||||
\(879\) | 1.37671 | + | 23.6960i | 0.0464354 | + | 0.799245i | ||||
\(880\) | −0.690084 | − | 0.113133i | −0.0232627 | − | 0.00381373i | ||||
\(881\) | 0.313205 | − | 5.77674i | 0.0105522 | − | 0.194623i | −0.988504 | − | 0.151193i | \(-0.951689\pi\) |
0.999056 | − | 0.0434304i | \(-0.0138287\pi\) | |||||||
\(882\) | 0.617091 | − | 13.2817i | 0.0207785 | − | 0.447218i | ||||
\(883\) | −8.96594 | + | 8.49299i | −0.301728 | + | 0.285812i | −0.823551 | − | 0.567242i | \(-0.808011\pi\) |
0.521824 | + | 0.853053i | \(0.325252\pi\) | |||||||
\(884\) | 47.5972 | 1.60087 | ||||||||
\(885\) | 2.52121 | − | 4.51937i | 0.0847497 | − | 0.151917i | ||||
\(886\) | −12.5979 | −0.423235 | ||||||||
\(887\) | −5.36118 | + | 5.07838i | −0.180011 | + | 0.170515i | −0.772400 | − | 0.635137i | \(-0.780944\pi\) |
0.592389 | + | 0.805652i | \(0.298185\pi\) | |||||||
\(888\) | −14.5381 | + | 17.2504i | −0.487867 | + | 0.578886i | ||||
\(889\) | 0.536999 | − | 9.90436i | 0.0180104 | − | 0.332182i | ||||
\(890\) | −1.19813 | − | 0.196424i | −0.0401615 | − | 0.00658414i | ||||
\(891\) | 19.3920 | − | 9.33866i | 0.649657 | − | 0.312857i | ||||
\(892\) | 0.978546 | − | 1.84573i | 0.0327641 | − | 0.0617997i | ||||
\(893\) | −9.58797 | − | 11.2878i | −0.320849 | − | 0.377733i | ||||
\(894\) | 21.6543 | + | 11.3733i | 0.724227 | + | 0.380379i | ||||
\(895\) | −8.18660 | + | 5.55065i | −0.273648 | + | 0.185538i | ||||
\(896\) | −6.29455 | + | 0.684573i | −0.210286 | + | 0.0228700i | ||||
\(897\) | 59.7857 | + | 56.1949i | 1.99619 | + | 1.87629i | ||||
\(898\) | −15.2024 | + | 32.8595i | −0.507311 | + | 1.09654i | ||||
\(899\) | −5.98989 | − | 21.5736i | −0.199774 | − | 0.719521i | ||||
\(900\) | 15.0997 | + | 3.20141i | 0.503323 | + | 0.106714i | ||||
\(901\) | −39.9383 | − | 4.34355i | −1.33054 | − | 0.144705i | ||||
\(902\) | −9.89516 | + | 5.24608i | −0.329473 | + | 0.174675i | ||||
\(903\) | 3.13228 | + | 11.1145i | 0.104236 | + | 0.369867i | ||||
\(904\) | −18.7224 | + | 11.2649i | −0.622699 | + | 0.374665i | ||||
\(905\) | −0.419240 | + | 1.90463i | −0.0139360 | + | 0.0633119i | ||||
\(906\) | −0.415105 | − | 1.03023i | −0.0137909 | − | 0.0342270i | ||||
\(907\) | 30.3778 | − | 35.7636i | 1.00868 | − | 1.18751i | 0.0264838 | − | 0.999649i | \(-0.491569\pi\) |
0.982196 | − | 0.187860i | \(-0.0601552\pi\) | |||||||
\(908\) | 2.43348 | + | 6.10758i | 0.0807580 | + | 0.202687i | ||||
\(909\) | −29.4412 | + | 22.7422i | −0.976504 | + | 0.754311i | ||||
\(910\) | 3.76226 | + | 1.26765i | 0.124718 | + | 0.0420223i | ||||
\(911\) | 4.16090 | + | 12.3491i | 0.137857 | + | 0.409145i | 0.994237 | − | 0.107201i | \(-0.0341887\pi\) |
−0.856381 | + | 0.516345i | \(0.827292\pi\) | |||||||
\(912\) | −7.22345 | − | 1.97552i | −0.239192 | − | 0.0654159i | ||||
\(913\) | 23.3191 | + | 14.0306i | 0.771749 | + | 0.464346i | ||||
\(914\) | −24.2976 | + | 25.6507i | −0.803693 | + | 0.848449i | ||||
\(915\) | −0.216405 | + | 2.06407i | −0.00715413 | + | 0.0682360i | ||||
\(916\) | −8.33611 | + | 13.8547i | −0.275433 | + | 0.457773i | ||||
\(917\) | −17.1142 | + | 13.0099i | −0.565160 | + | 0.429623i | ||||
\(918\) | −21.9128 | − | 25.1991i | −0.723230 | − | 0.831695i | ||||
\(919\) | −7.54105 | + | 22.3810i | −0.248756 | + | 0.738282i | 0.748423 | + | 0.663222i | \(0.230812\pi\) |
−0.997179 | + | 0.0750604i | \(0.976085\pi\) | |||||||
\(920\) | 4.89086 | − | 6.43381i | 0.161247 | − | 0.212117i | ||||
\(921\) | 7.62550 | − | 12.7854i | 0.251269 | − | 0.421293i | ||||
\(922\) | −6.42628 | − | 5.45853i | −0.211638 | − | 0.179767i | ||||
\(923\) | 5.38796 | − | 19.4057i | 0.177347 | − | 0.638746i | ||||
\(924\) | −2.89862 | − | 6.20220i | −0.0953577 | − | 0.204037i | ||||
\(925\) | −10.9770 | − | 18.2440i | −0.360922 | − | 0.599857i | ||||
\(926\) | 21.1015 | + | 8.40759i | 0.693437 | + | 0.276291i | ||||
\(927\) | 1.26952 | + | 5.56216i | 0.0416965 | + | 0.182685i | ||||
\(928\) | 1.54976 | − | 14.2498i | 0.0508732 | − | 0.467772i | ||||
\(929\) | 1.04751 | + | 19.3201i | 0.0343676 | + | 0.633873i | 0.964084 | + | 0.265597i | \(0.0855690\pi\) |
−0.929717 | + | 0.368276i | \(0.879948\pi\) | |||||||
\(930\) | 3.19492 | − | 4.23676i | 0.104766 | − | 0.138929i | ||||
\(931\) | 23.8762 | + | 11.0463i | 0.782511 | + | 0.362028i | ||||
\(932\) | −1.50775 | − | 9.19689i | −0.0493881 | − | 0.301254i | ||||
\(933\) | 7.86138 | − | 7.50461i | 0.257370 | − | 0.245690i | ||||
\(934\) | 10.3898 | + | 15.3239i | 0.339966 | + | 0.501412i | ||||
\(935\) | 5.59973 | − | 2.59071i | 0.183131 | − | 0.0847253i | ||||
\(936\) | 25.6895 | + | 54.4181i | 0.839687 | + | 1.77871i | ||||
\(937\) | 7.43537 | + | 3.94198i | 0.242903 | + | 0.128779i | 0.585413 | − | 0.810735i | \(-0.300932\pi\) |
−0.342510 | + | 0.939514i | \(0.611277\pi\) | |||||||
\(938\) | −4.61729 | − | 3.13060i | −0.150760 | − | 0.102218i | ||||
\(939\) | 4.33833 | + | 8.10702i | 0.141576 | + | 0.264563i | ||||
\(940\) | 1.06130 | + | 0.0575422i | 0.0346159 | + | 0.00187682i | ||||
\(941\) | −7.20867 | + | 1.58675i | −0.234996 | + | 0.0517265i | −0.330907 | − | 0.943663i | \(-0.607355\pi\) |
0.0959110 | + | 0.995390i | \(0.469424\pi\) | |||||||
\(942\) | 2.18564 | − | 13.6627i | 0.0712120 | − | 0.445154i | ||||
\(943\) | − | 33.8556i | − | 1.10249i | ||||||
\(944\) | 1.40382 | + | 5.60091i | 0.0456905 | + | 0.182294i | ||||
\(945\) | 1.19911 | + | 2.91083i | 0.0390069 | + | 0.0946892i | ||||
\(946\) | 6.82106 | + | 7.20091i | 0.221772 | + | 0.234122i | ||||
\(947\) | 7.30540 | + | 33.1888i | 0.237394 | + | 1.07849i | 0.932946 | + | 0.360015i | \(0.117228\pi\) |
−0.695553 | + | 0.718475i | \(0.744841\pi\) | |||||||
\(948\) | −14.6514 | + | 10.0169i | −0.475856 | + | 0.325332i | ||||
\(949\) | −1.16809 | + | 7.12504i | −0.0379179 | + | 0.231289i | ||||
\(950\) | 15.1642 | − | 22.3655i | 0.491991 | − | 0.725632i | ||||
\(951\) | 3.50358 | + | 20.8650i | 0.113611 | + | 0.676593i | ||||
\(952\) | −23.3540 | + | 19.8371i | −0.756907 | + | 0.642923i | ||||
\(953\) | 10.9777 | + | 23.7280i | 0.355604 | + | 0.768625i | 0.999992 | + | 0.00392652i | \(0.00124985\pi\) |
−0.644389 | + | 0.764698i | \(0.722888\pi\) | |||||||
\(954\) | −5.75080 | − | 16.6411i | −0.186189 | − | 0.538777i | ||||
\(955\) | 0.760209 | + | 6.99001i | 0.0245998 | + | 0.226191i | ||||
\(956\) | −5.71643 | + | 0.937161i | −0.184883 | + | 0.0303100i | ||||
\(957\) | 11.1333 | − | 2.49583i | 0.359890 | − | 0.0806786i | ||||
\(958\) | 30.1242 | − | 8.36393i | 0.973267 | − | 0.270226i | ||||
\(959\) | −24.3935 | + | 1.32258i | −0.787707 | + | 0.0427083i | ||||
\(960\) | 3.76996 | − | 2.28822i | 0.121675 | − | 0.0738520i | ||||
\(961\) | −16.4278 | − | 30.9862i | −0.529931 | − | 0.999555i | ||||
\(962\) | 10.6507 | − | 26.7312i | 0.343392 | − | 0.861848i | ||||
\(963\) | −12.9111 | + | 3.69258i | −0.416055 | + | 0.118992i | ||||
\(964\) | −19.8882 | − | 4.37772i | −0.640556 | − | 0.140997i | ||||
\(965\) | −4.13902 | − | 1.14919i | −0.133240 | − | 0.0369938i | ||||
\(966\) | −18.2873 | − | 0.920569i | −0.588383 | − | 0.0296188i | ||||
\(967\) | −12.4085 | + | 4.94402i | −0.399032 | + | 0.158989i | −0.561017 | − | 0.827804i | \(-0.689590\pi\) |
0.161985 | + | 0.986793i | \(0.448210\pi\) | |||||||
\(968\) | 12.4693 | + | 9.47892i | 0.400779 | + | 0.304664i | ||||
\(969\) | 62.5332 | − | 21.3396i | 2.00886 | − | 0.685527i | ||||
\(970\) | −1.49882 | + | 0.505010i | −0.0481241 | + | 0.0162149i | ||||
\(971\) | 8.98755 | + | 11.8229i | 0.288424 | + | 0.379416i | 0.917371 | − | 0.398033i | \(-0.130307\pi\) |
−0.628947 | + | 0.777448i | \(0.716514\pi\) | |||||||
\(972\) | −6.65390 | + | 15.1441i | −0.213424 | + | 0.485748i | ||||
\(973\) | 6.55856 | + | 6.21260i | 0.210258 | + | 0.199167i | ||||
\(974\) | −11.1197 | − | 10.5331i | −0.356297 | − | 0.337502i | ||||
\(975\) | −56.4380 | + | 6.35901i | −1.80746 | + | 0.203651i | ||||
\(976\) | −1.40137 | − | 1.84347i | −0.0448567 | − | 0.0590079i | ||||
\(977\) | −7.62800 | + | 2.57017i | −0.244041 | + | 0.0822271i | −0.438664 | − | 0.898651i | \(-0.644548\pi\) |
0.194623 | + | 0.980878i | \(0.437652\pi\) | |||||||
\(978\) | 0.456684 | + | 1.33826i | 0.0146031 | + | 0.0427928i | ||||
\(979\) | −6.13292 | − | 4.66213i | −0.196009 | − | 0.149002i | ||||
\(980\) | −1.75388 | + | 0.698812i | −0.0560258 | + | 0.0223227i | ||||
\(981\) | −36.7604 | + | 25.3415i | −1.17367 | + | 0.809092i | ||||
\(982\) | 14.1173 | + | 3.91964i | 0.450500 | + | 0.125081i | ||||
\(983\) | 50.4456 | + | 11.1039i | 1.60897 | + | 0.354160i | 0.926364 | − | 0.376630i | \(-0.122917\pi\) |
0.682602 | + | 0.730790i | \(0.260848\pi\) | |||||||
\(984\) | 9.10136 | − | 23.1022i | 0.290141 | − | 0.736471i | ||||
\(985\) | −1.18705 | + | 2.97926i | −0.0378224 | + | 0.0949272i | ||||
\(986\) | −8.29191 | − | 15.6402i | −0.264068 | − | 0.498085i | ||||
\(987\) | −3.60443 | − | 5.93849i | −0.114730 | − | 0.189024i | ||||
\(988\) | −41.2138 | + | 2.23455i | −1.31118 | + | 0.0710904i | ||||
\(989\) | −28.8900 | + | 8.02127i | −0.918649 | + | 0.255062i | ||||
\(990\) | 2.07444 | + | 1.73460i | 0.0659300 | + | 0.0551291i | ||||
\(991\) | −1.36013 | + | 0.222982i | −0.0432061 | + | 0.00708327i | −0.183346 | − | 0.983048i | \(-0.558693\pi\) |
0.140140 | + | 0.990132i | \(0.455245\pi\) | |||||||
\(992\) | −4.57329 | − | 42.0507i | −0.145202 | − | 1.33511i | ||||
\(993\) | −1.03730 | + | 3.11840i | −0.0329176 | + | 0.0989595i | ||||
\(994\) | 1.88716 | + | 4.07903i | 0.0598571 | + | 0.129379i | ||||
\(995\) | 1.72676 | − | 1.46672i | 0.0547419 | − | 0.0464982i | ||||
\(996\) | −20.6265 | + | 3.46353i | −0.653575 | + | 0.109746i | ||||
\(997\) | 12.7877 | − | 18.8604i | 0.404990 | − | 0.597316i | −0.569433 | − | 0.822038i | \(-0.692837\pi\) |
0.974423 | + | 0.224722i | \(0.0721475\pi\) | |||||||
\(998\) | 3.24887 | − | 19.8172i | 0.102841 | − | 0.627303i | ||||
\(999\) | 21.5370 | − | 7.53610i | 0.681402 | − | 0.238432i |
(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 | 177.2.f.a.23.6 | ✓ | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.23.13 | yes | 504 | |
59.18 | odd | 58 | inner | 177.2.f.a.77.13 | yes | 504 | |
177.77 | even | 58 | inner | 177.2.f.a.77.6 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.23.6 | ✓ | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.23.13 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.77.6 | yes | 504 | 177.77 | even | 58 | inner | |
177.2.f.a.77.13 | yes | 504 | 59.18 | odd | 58 | inner |