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 | 23.13 | ||
Character | \(\chi\) | \(=\) | 177.23 |
Dual form | 177.2.f.a.77.13 |
$q$-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 | −0.397378 | − | 0.917655i | \(-0.630080\pi\) |
0.894796 | + | 0.446476i | \(0.147321\pi\) | |||||||
\(3\) | −0.733345 | + | 1.56914i | −0.423397 | + | 0.905944i | ||||
\(4\) | −0.0574486 | + | 1.05958i | −0.0287243 | + | 0.529788i | ||||
\(5\) | −0.383857 | − | 0.0629301i | −0.171666 | − | 0.0281432i | 0.0753359 | − | 0.997158i | \(-0.475997\pi\) |
−0.247002 | + | 0.969015i | \(0.579445\pi\) | |||||||
\(6\) | 0.529719 | + | 1.59248i | 0.216257 | + | 0.650128i | ||||
\(7\) | −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 | ||||
\(9\) | −1.92441 | − | 2.30144i | −0.641470 | − | 0.767148i | ||||
\(10\) | −0.311959 | + | 0.211513i | −0.0986501 | + | 0.0668864i | ||||
\(11\) | 2.37748 | − | 0.258567i | 0.716837 | − | 0.0779607i | 0.257571 | − | 0.966259i | \(-0.417078\pi\) |
0.459266 | + | 0.888299i | \(0.348112\pi\) | |||||||
\(12\) | −1.62050 | − | 0.867180i | −0.467797 | − | 0.250333i | ||||
\(13\) | −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 | ||||
\(15\) | 0.380246 | − | 0.556176i | 0.0981790 | − | 0.143604i | ||||
\(16\) | 0.747324 | + | 0.0812764i | 0.186831 | + | 0.0203191i | ||||
\(17\) | 5.86001 | − | 3.10678i | 1.42126 | − | 0.753505i | 0.432307 | − | 0.901726i | \(-0.357700\pi\) |
0.988954 | + | 0.148221i | \(0.0473548\pi\) | |||||||
\(18\) | −2.88730 | − | 0.336635i | −0.680542 | − | 0.0793456i | ||||
\(19\) | 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 | ||||
\(21\) | −1.62430 | − | 2.15397i | −0.354451 | − | 0.470035i | ||||
\(22\) | 1.50015 | − | 1.76612i | 0.319834 | − | 0.376538i | ||||
\(23\) | −2.59272 | − | 6.50724i | −0.540620 | − | 1.35685i | −0.904924 | − | 0.425574i | \(-0.860072\pi\) |
0.364304 | − | 0.931280i | \(-0.381307\pi\) | |||||||
\(24\) | −4.95544 | + | 1.35524i | −1.01152 | + | 0.276638i | ||||
\(25\) | −4.59488 | − | 1.54820i | −0.918976 | − | 0.309639i | ||||
\(26\) | 2.09232 | + | 6.20979i | 0.410338 | + | 1.21784i | ||||
\(27\) | 5.02255 | − | 1.33192i | 0.966590 | − | 0.256328i | ||||
\(28\) | −1.41619 | − | 0.852094i | −0.267635 | − | 0.161031i | ||||
\(29\) | −1.89426 | + | 1.99975i | −0.351756 | + | 0.371344i | −0.877729 | − | 0.479157i | \(-0.840943\pi\) |
0.525973 | + | 0.850501i | \(0.323701\pi\) | |||||||
\(30\) | −0.103121 | − | 0.644620i | −0.0188272 | − | 0.117691i | ||||
\(31\) | 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 | ||||
\(33\) | −1.33779 | + | 3.92022i | −0.232879 | + | 0.682423i | ||||
\(34\) | 2.05206 | − | 6.09028i | 0.351925 | − | 1.04447i | ||||
\(35\) | 0.366650 | − | 0.482320i | 0.0619752 | − | 0.0815270i | ||||
\(36\) | 2.54911 | − | 1.90685i | 0.424852 | − | 0.317808i | ||||
\(37\) | 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 | ||||
\(39\) | −7.54856 | − | 8.95684i | −1.20874 | − | 1.43424i | ||||
\(40\) | −0.594821 | − | 0.988601i | −0.0940495 | − | 0.156311i | ||||
\(41\) | 4.48996 | + | 1.78897i | 0.701215 | + | 0.279389i | 0.693372 | − | 0.720580i | \(-0.256124\pi\) |
0.00784256 | + | 0.999969i | \(0.497504\pi\) | |||||||
\(42\) | −2.57791 | − | 0.432874i | −0.397781 | − | 0.0667940i | ||||
\(43\) | −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 | ||||
\(45\) | 0.593868 | + | 1.00453i | 0.0885286 | + | 0.149746i | ||||
\(46\) | −6.15995 | − | 2.84989i | −0.908235 | − | 0.420194i | ||||
\(47\) | 0.416590 | + | 2.54109i | 0.0607659 | + | 0.370656i | 0.999651 | + | 0.0264244i | \(0.00841214\pi\) |
−0.938885 | + | 0.344231i | \(0.888140\pi\) | |||||||
\(48\) | −0.675581 | + | 1.11305i | −0.0975117 | + | 0.160656i | ||||
\(49\) | 2.56688 | + | 3.78587i | 0.366697 | + | 0.540838i | ||||
\(50\) | −4.26392 | + | 1.97270i | −0.603010 | + | 0.278982i | ||||
\(51\) | 0.577570 | + | 11.4735i | 0.0808760 | + | 1.60662i | ||||
\(52\) | −6.34027 | − | 3.36140i | −0.879237 | − | 0.466142i | ||||
\(53\) | −5.01330 | − | 3.39910i | −0.688630 | − | 0.466903i | 0.166010 | − | 0.986124i | \(-0.446912\pi\) |
−0.854640 | + | 0.519221i | \(0.826222\pi\) | |||||||
\(54\) | 2.64561 | − | 4.28371i | 0.360022 | − | 0.582939i | ||||
\(55\) | −0.928883 | − | 0.0503626i | −0.125251 | − | 0.00679089i | ||||
\(56\) | −4.51184 | + | 0.993131i | −0.602920 | + | 0.132713i | ||||
\(57\) | 1.03876 | + | 9.90766i | 0.137587 | + | 1.31230i | ||||
\(58\) | 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 | ||||
\(63\) | 4.57106 | − | 0.969148i | 0.575899 | − | 0.122101i | ||||
\(64\) | −1.05897 | + | 6.45945i | −0.132372 | + | 0.807431i | ||||
\(65\) | 1.47626 | − | 2.17731i | 0.183107 | − | 0.270063i | ||||
\(66\) | 1.67116 | + | 3.64913i | 0.205705 | + | 0.449176i | ||||
\(67\) | 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 | ||||
\(69\) | 12.1121 | + | 0.703705i | 1.45813 | + | 0.0847161i | ||||
\(70\) | −0.0634711 | − | 0.583607i | −0.00758624 | − | 0.0697544i | ||||
\(71\) | 2.93880 | − | 0.481792i | 0.348771 | − | 0.0571781i | 0.0151497 | − | 0.999885i | \(-0.495178\pi\) |
0.333622 | + | 0.942707i | \(0.391729\pi\) | |||||||
\(72\) | 1.50747 | − | 8.76965i | 0.177658 | − | 1.03351i | ||||
\(73\) | 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 | ||||
\(75\) | 5.79897 | − | 6.07466i | 0.669607 | − | 0.701441i | ||||
\(76\) | 2.85877 | + | 5.39221i | 0.327923 | + | 0.618529i | ||||
\(77\) | −1.37872 | + | 3.46034i | −0.157120 | + | 0.394342i | ||||
\(78\) | −11.2784 | − | 1.27077i | −1.27703 | − | 0.143886i | ||||
\(79\) | −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 | ||||
\(81\) | −1.59329 | + | 8.85785i | −0.177032 | + | 0.984205i | ||||
\(82\) | 4.35056 | − | 1.73342i | 0.480439 | − | 0.191424i | ||||
\(83\) | 9.05934 | + | 6.88673i | 0.994392 | + | 0.755917i | 0.969830 | − | 0.243781i | \(-0.0783878\pi\) |
0.0245619 | + | 0.999698i | \(0.492181\pi\) | |||||||
\(84\) | 2.37561 | − | 1.59732i | 0.259200 | − | 0.174282i | ||||
\(85\) | −2.44491 | + | 0.823787i | −0.265188 | + | 0.0893523i | ||||
\(86\) | 2.50994 | + | 3.30177i | 0.270654 | + | 0.356039i | ||||
\(87\) | −1.74874 | − | 4.43887i | −0.187485 | − | 0.475897i | ||||
\(88\) | 5.14978 | + | 4.87813i | 0.548968 | + | 0.520010i | ||||
\(89\) | −2.33866 | − | 2.21530i | −0.247898 | − | 0.234821i | 0.553654 | − | 0.832747i | \(-0.313233\pi\) |
−0.801551 | + | 0.597926i | \(0.795992\pi\) | |||||||
\(90\) | 1.08712 | + | 0.310917i | 0.114593 | + | 0.0327736i | ||||
\(91\) | −6.37455 | − | 8.38558i | −0.668234 | − | 0.879047i | ||||
\(92\) | 7.04387 | − | 2.37336i | 0.734374 | − | 0.247439i | ||||
\(93\) | 7.85575 | + | 11.6834i | 0.814603 | + | 1.21151i | ||||
\(94\) | 1.98630 | + | 1.50995i | 0.204871 | + | 0.155739i | ||||
\(95\) | −2.07834 | + | 0.828088i | −0.213234 | + | 0.0849600i | ||||
\(96\) | −1.90351 | − | 8.80993i | −0.194276 | − | 0.899160i | ||||
\(97\) | 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 | ||||
\(99\) | −5.17032 | − | 4.97405i | −0.519637 | − | 0.499911i | ||||
\(100\) | 1.90440 | − | 4.77969i | 0.190440 | − | 0.477969i | ||||
\(101\) | −5.80859 | − | 10.9562i | −0.577976 | − | 1.09018i | −0.984309 | − | 0.176453i | \(-0.943538\pi\) |
0.406333 | − | 0.913725i | \(-0.366807\pi\) | |||||||
\(102\) | 8.05165 | + | 7.68624i | 0.797232 | + | 0.761051i | ||||
\(103\) | 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 | ||||
\(105\) | 0.487948 | + | 0.929033i | 0.0476188 | + | 0.0906644i | ||||
\(106\) | −5.79161 | + | 0.949487i | −0.562531 | + | 0.0922223i | ||||
\(107\) | −0.483969 | − | 4.45002i | −0.0467870 | − | 0.430200i | −0.993982 | − | 0.109542i | \(-0.965062\pi\) |
0.947195 | − | 0.320658i | \(-0.103904\pi\) | |||||||
\(108\) | 1.12273 | + | 5.39829i | 0.108035 | + | 0.519451i | ||||
\(109\) | 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 | ||||
\(111\) | −6.91516 | + | 3.16688i | −0.656358 | + | 0.300587i | ||||
\(112\) | −0.657073 | + | 0.969110i | −0.0620876 | + | 0.0915723i | ||||
\(113\) | −1.19179 | + | 7.26960i | −0.112114 | + | 0.683866i | 0.869636 | + | 0.493693i | \(0.164353\pi\) |
−0.981751 | + | 0.190173i | \(0.939095\pi\) | |||||||
\(114\) | 7.33266 | + | 6.27741i | 0.686767 | + | 0.587934i | ||||
\(115\) | 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 | ||||||||
\(120\) | 1.98746 | − | 0.208374i | 0.181430 | − | 0.0190218i | ||||
\(121\) | −5.15727 | + | 1.13520i | −0.468843 | + | 0.103200i | ||||
\(122\) | −2.98039 | − | 0.161592i | −0.269832 | − | 0.0146299i | ||||
\(123\) | −6.09983 | + | 5.73346i | −0.550003 | + | 0.516969i | ||||
\(124\) | 7.13912 | + | 4.84044i | 0.641112 | + | 0.434684i | ||||
\(125\) | 3.38469 | + | 1.79445i | 0.302736 | + | 0.160501i | ||||
\(126\) | 2.56974 | − | 3.72766i | 0.228931 | − | 0.332087i | ||||
\(127\) | −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 | ||||
\(129\) | −6.33775 | − | 3.84677i | −0.558008 | − | 0.338689i | ||||
\(130\) | −0.412369 | − | 2.51534i | −0.0361672 | − | 0.220610i | ||||
\(131\) | −12.5266 | − | 5.79540i | −1.09445 | − | 0.506346i | −0.212247 | − | 0.977216i | \(-0.568078\pi\) |
−0.882203 | + | 0.470870i | \(0.843940\pi\) | |||||||
\(132\) | −4.07692 | − | 1.64270i | −0.354850 | − | 0.142978i | ||||
\(133\) | 0.484995 | + | 8.94521i | 0.0420544 | + | 0.775648i | ||||
\(134\) | 0.387239 | − | 3.56060i | 0.0334523 | − | 0.307589i | ||||
\(135\) | −2.01176 | + | 0.195197i | −0.173144 | + | 0.0167999i | ||||
\(136\) | 18.2757 | + | 7.28172i | 1.56713 | + | 0.624402i | ||||
\(137\) | −8.08616 | − | 13.4393i | −0.690847 | − | 1.14820i | −0.981517 | − | 0.191373i | \(-0.938706\pi\) |
0.290670 | − | 0.956823i | \(-0.406122\pi\) | |||||||
\(138\) | 8.98925 | − | 7.57587i | 0.765216 | − | 0.644901i | ||||
\(139\) | 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 | ||||
\(141\) | −4.29283 | − | 1.20980i | −0.361521 | − | 0.101884i | ||||
\(142\) | 1.74627 | − | 2.29718i | 0.146544 | − | 0.192775i | ||||
\(143\) | −5.16413 | + | 15.3266i | −0.431846 | + | 1.28167i | ||||
\(144\) | −1.25111 | − | 1.87633i | −0.104259 | − | 0.156361i | ||||
\(145\) | 0.852970 | − | 0.648411i | 0.0708353 | − | 0.0538476i | ||||
\(146\) | 0.533331 | − | 0.886404i | 0.0441388 | − | 0.0733593i | ||||
\(147\) | −7.82297 | + | 1.25145i | −0.645228 | + | 0.103218i | ||||
\(148\) | −3.20445 | + | 3.38290i | −0.263405 | + | 0.278073i | ||||
\(149\) | −12.4879 | − | 7.51374i | −1.02305 | − | 0.615549i | −0.0979186 | − | 0.995194i | \(-0.531218\pi\) |
−0.925132 | + | 0.379645i | \(0.876046\pi\) | |||||||
\(150\) | 0.0314794 | − | 8.13737i | 0.00257028 | − | 0.664414i | ||||
\(151\) | −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 | ||||
\(153\) | −18.4271 | − | 7.50776i | −1.48975 | − | 0.606967i | ||||
\(154\) | 1.33592 | + | 3.35290i | 0.107651 | + | 0.270184i | ||||
\(155\) | −2.04691 | + | 2.40981i | −0.164412 | + | 0.193561i | ||||
\(156\) | 9.92412 | − | 7.48372i | 0.794565 | − | 0.599177i | ||||
\(157\) | 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 | ||||
\(159\) | 9.01016 | − | 5.37387i | 0.714552 | − | 0.426175i | ||||
\(160\) | 1.78838 | − | 0.948140i | 0.141384 | − | 0.0749571i | ||||
\(161\) | 10.8463 | + | 1.17961i | 0.854809 | + | 0.0929661i | ||||
\(162\) | 4.78160 | + | 7.29278i | 0.375678 | + | 0.572975i | ||||
\(163\) | 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 | ||||
\(165\) | 0.760218 | − | 1.42062i | 0.0591829 | − | 0.110595i | ||||
\(166\) | 10.9618 | − | 1.19217i | 0.850800 | − | 0.0925301i | ||||
\(167\) | −6.96566 | + | 4.72284i | −0.539019 | + | 0.365464i | −0.800113 | − | 0.599849i | \(-0.795227\pi\) |
0.261094 | + | 0.965313i | \(0.415917\pi\) | |||||||
\(168\) | 1.75037 | − | 7.80802i | 0.135044 | − | 0.602402i | ||||
\(169\) | −21.1924 | − | 24.9496i | −1.63018 | − | 1.91920i | ||||
\(170\) | −1.17096 | + | 2.20866i | −0.0898083 | + | 0.169396i | ||||
\(171\) | −16.3083 | − | 5.63577i | −1.24713 | − | 0.430978i | ||||
\(172\) | −4.48221 | − | 0.734820i | −0.341765 | − | 0.0560295i | ||||
\(173\) | −0.829850 | + | 15.3057i | −0.0630923 | + | 1.16367i | 0.779957 | + | 0.625833i | \(0.215241\pi\) |
−0.843050 | + | 0.537836i | \(0.819242\pi\) | |||||||
\(174\) | −4.18799 | − | 1.95728i | −0.317491 | − | 0.148381i | ||||
\(175\) | 5.48280 | − | 5.19358i | 0.414460 | − | 0.392598i | ||||
\(176\) | 1.79776 | 0.135512 | ||||||||
\(177\) | 13.2580 | + | 1.10667i | 0.996534 | + | 0.0831822i | ||||
\(178\) | −3.12130 | −0.233951 | ||||||||
\(179\) | 18.4604 | − | 17.4867i | 1.37980 | − | 1.30701i | 0.475753 | − | 0.879579i | \(-0.342176\pi\) |
0.904046 | − | 0.427436i | \(-0.140583\pi\) | |||||||
\(180\) | −1.09849 | + | 0.571540i | −0.0818767 | + | 0.0426000i | ||||
\(181\) | −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 | ||||
\(183\) | 5.06269 | − | 1.68404i | 0.374245 | − | 0.124488i | ||||
\(184\) | 9.73198 | − | 18.3565i | 0.717451 | − | 1.35326i | ||||
\(185\) | −1.10580 | − | 1.30185i | −0.0813002 | − | 0.0957140i | ||||
\(186\) | 13.3114 | + | 2.98409i | 0.976037 | + | 0.218804i | ||||
\(187\) | 13.1287 | − | 8.90151i | 0.960069 | − | 0.650943i | ||||
\(188\) | −2.71641 | + | 0.295427i | −0.198115 | + | 0.0215463i | ||||
\(189\) | −1.83143 | + | 7.88335i | −0.133217 | + | 0.573430i | ||||
\(190\) | −0.910226 | + | 1.96742i | −0.0660347 | + | 0.142732i | ||||
\(191\) | −4.83585 | − | 17.4171i | −0.349910 | − | 1.26026i | −0.903902 | − | 0.427739i | \(-0.859310\pi\) |
0.553993 | − | 0.832521i | \(-0.313103\pi\) | |||||||
\(192\) | −9.35920 | − | 6.39868i | −0.675442 | − | 0.461785i | ||||
\(193\) | −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 | ||||
\(195\) | 2.33391 | + | 3.91318i | 0.167135 | + | 0.280228i | ||||
\(196\) | −4.15888 | + | 2.50232i | −0.297063 | + | 0.178737i | ||||
\(197\) | 1.77237 | − | 8.05196i | 0.126276 | − | 0.573678i | −0.870409 | − | 0.492328i | \(-0.836146\pi\) |
0.996686 | − | 0.0813497i | \(-0.0259231\pi\) | |||||||
\(198\) | −6.95153 | − | 0.0537848i | −0.494024 | − | 0.00382232i | ||||
\(199\) | 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 | ||||
\(201\) | 1.68892 | + | 6.17551i | 0.119127 | + | 0.435587i | ||||
\(202\) | −11.3867 | − | 3.83662i | −0.801164 | − | 0.269944i | ||||
\(203\) | −1.36989 | − | 4.06569i | −0.0961475 | − | 0.285356i | ||||
\(204\) | −12.1903 | − | 0.0471580i | −0.853489 | − | 0.00330172i | ||||
\(205\) | −1.61092 | − | 0.969260i | −0.112512 | − | 0.0676961i | ||||
\(206\) | 1.26721 | − | 1.33778i | 0.0882910 | − | 0.0932077i | ||||
\(207\) | −9.98659 | + | 18.4896i | −0.694116 | + | 1.28512i | ||||
\(208\) | −2.62097 | + | 4.35609i | −0.181732 | + | 0.302040i | ||||
\(209\) | 10.9501 | − | 8.32406i | 0.757435 | − | 0.575787i | ||||
\(210\) | 0.962308 | + | 0.328390i | 0.0664056 | + | 0.0226611i | ||||
\(211\) | −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 | ||||
\(213\) | −1.39915 | + | 4.96471i | −0.0958684 | + | 0.340176i | ||||
\(214\) | −3.30571 | − | 2.80789i | −0.225974 | − | 0.191944i | ||||
\(215\) | 0.445430 | − | 1.60429i | 0.0303781 | − | 0.109412i | ||||
\(216\) | 12.6553 | + | 8.79662i | 0.861085 | + | 0.598534i | ||||
\(217\) | 6.52717 | + | 10.8482i | 0.443093 | + | 0.736427i | ||||
\(218\) | 13.3966 | + | 5.33771i | 0.907335 | + | 0.361515i | ||||
\(219\) | −0.306223 | + | 1.82366i | −0.0206926 | + | 0.123231i | ||||
\(220\) | 0.106726 | − | 0.981330i | 0.00719547 | − | 0.0661612i | ||||
\(221\) | 2.42840 | + | 44.7893i | 0.163352 | + | 3.01285i | ||||
\(222\) | −2.75426 | + | 6.83565i | −0.184854 | + | 0.458779i | ||||
\(223\) | −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 | ||||
\(225\) | 5.27935 | + | 13.5542i | 0.351957 | + | 0.903615i | ||||
\(226\) | 4.00571 | + | 5.90798i | 0.266456 | + | 0.392993i | ||||
\(227\) | −5.62312 | + | 2.60153i | −0.373220 | + | 0.172670i | −0.597527 | − | 0.801849i | \(-0.703850\pi\) |
0.224308 | + | 0.974518i | \(0.427988\pi\) | |||||||
\(228\) | −10.5576 | + | 0.531463i | −0.699194 | + | 0.0351970i | ||||
\(229\) | 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 | ||||
\(231\) | −4.41868 | − | 4.70104i | −0.290728 | − | 0.309305i | ||||
\(232\) | −8.15809 | − | 0.442319i | −0.535605 | − | 0.0290397i | ||||
\(233\) | 8.57741 | − | 1.88803i | 0.561925 | − | 0.123689i | 0.0750800 | − | 0.997178i | \(-0.476079\pi\) |
0.486845 | + | 0.873489i | \(0.338148\pi\) | |||||||
\(234\) | 10.2650 | − | 16.7656i | 0.671044 | − | 1.09600i | ||||
\(235\) | − | 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 | 0.923324 | − | 0.384023i | \(-0.125462\pi\) |
−0.999233 | + | 0.0391640i | \(0.987531\pi\) | |||||||
\(240\) | 0.329371 | − | 0.384739i | 0.0212608 | − | 0.0248348i | ||||
\(241\) | −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 | ||||
\(243\) | −12.7308 | − | 8.99595i | −0.816680 | − | 0.577091i | ||||
\(244\) | 2.49130 | − | 2.11613i | 0.159489 | − | 0.135471i | ||||
\(245\) | −0.747070 | − | 1.61476i | −0.0477285 | − | 0.103164i | ||||
\(246\) | −0.470477 | + | 8.09784i | −0.0299965 | + | 0.516299i | ||||
\(247\) | 4.20545 | + | 38.6684i | 0.267586 | + | 2.46041i | ||||
\(248\) | 23.7921 | − | 3.90051i | 1.51080 | − | 0.247683i | ||||
\(249\) | −17.4499 | + | 9.16504i | −1.10584 | + | 0.580811i | ||||
\(250\) | 3.57671 | − | 0.993067i | 0.226211 | − | 0.0628071i | ||||
\(251\) | 9.54659 | − | 0.517601i | 0.602575 | − | 0.0326707i | 0.249672 | − | 0.968330i | \(-0.419677\pi\) |
0.352903 | + | 0.935660i | \(0.385194\pi\) | |||||||
\(252\) | 0.764286 | + | 4.89906i | 0.0481455 | + | 0.308612i | ||||
\(253\) | −7.84670 | − | 14.8004i | −0.493318 | − | 0.930496i | ||||
\(254\) | −2.28395 | + | 5.73228i | −0.143308 | + | 0.359675i | ||||
\(255\) | 0.500326 | − | 4.44054i | 0.0313316 | − | 0.278077i | ||||
\(256\) | −16.6321 | − | 3.66101i | −1.03951 | − | 0.228813i | ||||
\(257\) | −22.9149 | − | 6.36230i | −1.42939 | − | 0.396869i | −0.535267 | − | 0.844683i | \(-0.679789\pi\) |
−0.894127 | + | 0.447814i | \(0.852203\pi\) | |||||||
\(258\) | −7.02160 | + | 1.51712i | −0.437146 | + | 0.0944515i | ||||
\(259\) | −6.35381 | + | 2.53159i | −0.394806 | + | 0.157305i | ||||
\(260\) | 2.22222 | + | 1.68929i | 0.137816 | + | 0.104765i | ||||
\(261\) | 8.24765 | + | 0.511202i | 0.510517 | + | 0.0316426i | ||||
\(262\) | −12.6736 | + | 4.27024i | −0.782978 | + | 0.263816i | ||||
\(263\) | 16.6827 | + | 21.9457i | 1.02870 | + | 1.35323i | 0.933821 | + | 0.357740i | \(0.116453\pi\) |
0.0948767 | + | 0.995489i | \(0.469754\pi\) | |||||||
\(264\) | −11.4310 | + | 4.50338i | −0.703532 | + | 0.277164i | ||||
\(265\) | 1.71048 | + | 1.62026i | 0.105074 | + | 0.0995315i | ||||
\(266\) | 6.30179 | + | 5.96937i | 0.386387 | + | 0.366006i | ||||
\(267\) | 5.19116 | − | 2.04511i | 0.317694 | − | 0.125159i | ||||
\(268\) | 2.37370 | + | 3.12254i | 0.144997 | + | 0.190740i | ||||
\(269\) | −4.90531 | + | 1.65279i | −0.299082 | + | 0.100772i | −0.464842 | − | 0.885394i | \(-0.653889\pi\) |
0.165760 | + | 0.986166i | \(0.446992\pi\) | |||||||
\(270\) | −1.28511 | + | 1.47784i | −0.0782093 | + | 0.0899385i | ||||
\(271\) | −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 | ||||
\(273\) | 17.8329 | − | 3.85305i | 1.07930 | − | 0.233197i | ||||
\(274\) | −14.6435 | − | 4.06574i | −0.884645 | − | 0.245621i | ||||
\(275\) | −11.3245 | − | 2.49272i | −0.682896 | − | 0.150317i | ||||
\(276\) | −1.44145 | + | 12.7933i | −0.0867654 | + | 0.770067i | ||||
\(277\) | −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 | ||||
\(279\) | −24.0939 | + | 3.75881i | −1.44246 | + | 0.225034i | ||||
\(280\) | 1.79440 | − | 0.0972894i | 0.107236 | − | 0.00581415i | ||||
\(281\) | 7.87579 | − | 2.18670i | 0.469830 | − | 0.130448i | −0.0245406 | − | 0.999699i | \(-0.507812\pi\) |
0.494371 | + | 0.869251i | \(0.335399\pi\) | |||||||
\(282\) | −3.82596 | + | 2.00947i | −0.227833 | + | 0.119662i | ||||
\(283\) | 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 | ||||
\(285\) | 0.224756 | − | 3.86849i | 0.0133134 | − | 0.229150i | ||||
\(286\) | 6.58010 | + | 14.2227i | 0.389089 | + | 0.841003i | ||||
\(287\) | −5.73758 | + | 4.87354i | −0.338679 | + | 0.287676i | ||||
\(288\) | 15.2200 | + | 3.47384i | 0.896845 | + | 0.204698i | ||||
\(289\) | 15.1475 | − | 22.3408i | 0.891027 | − | 1.31417i | ||||
\(290\) | 0.167959 | − | 1.02450i | 0.00986287 | − | 0.0601608i | ||||
\(291\) | −4.72675 | + | 5.52133i | −0.277087 | + | 0.323666i | ||||
\(292\) | 0.243540 | + | 1.10641i | 0.0142521 | + | 0.0647478i | ||||
\(293\) | 9.42419 | + | 9.94900i | 0.550567 | + | 0.581227i | 0.940576 | − | 0.339585i | \(-0.110286\pi\) |
−0.390008 | + | 0.920811i | \(0.627528\pi\) | |||||||
\(294\) | −4.66920 | + | 6.09316i | −0.272313 | + | 0.355360i | ||||
\(295\) | 0.568433 | + | 2.93325i | 0.0330955 | + | 0.170780i | ||||
\(296\) | 13.0248i | 0.757049i | ||||||||
\(297\) | 11.5966 | − | 4.46528i | 0.672904 | − | 0.259102i | ||||
\(298\) | −13.7914 | + | 3.03573i | −0.798917 | + | 0.175855i | ||||
\(299\) | 47.3021 | + | 2.56465i | 2.73555 | + | 0.148317i | ||||
\(300\) | 6.10342 | + | 6.49343i | 0.352381 | + | 0.374899i | ||||
\(301\) | −5.51813 | − | 3.74138i | −0.318060 | − | 0.215650i | ||||
\(302\) | −0.566569 | − | 0.300376i | −0.0326024 | − | 0.0172847i | ||||
\(303\) | 21.4515 | − | 1.07985i | 1.23235 | − | 0.0620359i | ||||
\(304\) | 3.92401 | − | 1.81544i | 0.225057 | − | 0.104123i | ||||
\(305\) | 0.672427 | + | 0.991755i | 0.0385030 | + | 0.0567877i | ||||
\(306\) | −17.9654 | + | 6.99751i | −1.02702 | + | 0.400021i | ||||
\(307\) | 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 | ||||
\(309\) | −1.23103 | + | 3.05521i | −0.0700306 | + | 0.173805i | ||||
\(310\) | 0.165862 | + | 3.05915i | 0.00942034 | + | 0.173748i | ||||
\(311\) | 0.678428 | − | 6.23804i | 0.0384701 | − | 0.353727i | −0.959044 | − | 0.283258i | \(-0.908585\pi\) |
0.997514 | − | 0.0704693i | \(-0.0224497\pi\) | |||||||
\(312\) | 5.75342 | − | 34.2636i | 0.325723 | − | 1.93979i | ||||
\(313\) | −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 | ||||
\(315\) | −1.81562 | + | 0.0843569i | −0.102299 | + | 0.00475298i | ||||
\(316\) | 2.74136 | − | 9.87347i | 0.154213 | − | 0.555426i | ||||
\(317\) | 9.30985 | + | 7.90786i | 0.522893 | + | 0.444149i | 0.869552 | − | 0.493842i | \(-0.164408\pi\) |
−0.346659 | + | 0.937991i | \(0.612684\pi\) | |||||||
\(318\) | 2.75737 | − | 9.78416i | 0.154626 | − | 0.548669i | ||||
\(319\) | −3.98651 | + | 5.24416i | −0.223201 | + | 0.293617i | ||||
\(320\) | 0.812988 | − | 2.41286i | 0.0454474 | − | 0.134883i | ||||
\(321\) | 7.33763 | + | 2.50398i | 0.409546 | + | 0.139759i | ||||
\(322\) | 8.41592 | − | 6.39761i | 0.469001 | − | 0.356525i | ||||
\(323\) | 19.6673 | − | 32.6873i | 1.09432 | − | 1.81877i | ||||
\(324\) | −9.29403 | − | 2.19708i | −0.516335 | − | 0.122060i | ||||
\(325\) | 22.5501 | − | 23.8059i | 1.25086 | − | 1.32051i | ||||
\(326\) | 0.699533 | + | 0.420895i | 0.0387435 | + | 0.0233112i | ||||
\(327\) | −25.7778 | − | 0.0997215i | −1.42552 | − | 0.00551461i | ||||
\(328\) | 4.57745 | + | 13.5854i | 0.252747 | + | 0.750127i | ||||
\(329\) | −3.80077 | − | 1.28063i | −0.209543 | − | 0.0706033i | ||||
\(330\) | −0.411845 | − | 1.50591i | −0.0226713 | − | 0.0828975i | ||||
\(331\) | −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 | ||||
\(333\) | 0.101923 | − | 13.1733i | 0.00558536 | − | 0.721891i | ||||
\(334\) | −1.75298 | + | 7.96385i | −0.0959186 | + | 0.435763i | ||||
\(335\) | −1.23200 | + | 0.741271i | −0.0673115 | + | 0.0405000i | ||||
\(336\) | −1.03881 | − | 1.74173i | −0.0566717 | − | 0.0950193i | ||||
\(337\) | −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 | ||||
\(339\) | −10.5330 | − | 7.20121i | −0.572076 | − | 0.391116i | ||||
\(340\) | −0.732409 | − | 2.63790i | −0.0397205 | − | 0.143060i | ||||
\(341\) | 8.16230 | − | 17.6425i | 0.442013 | − | 0.955396i | ||||
\(342\) | −15.2275 | + | 6.90248i | −0.823410 | + | 0.373243i | ||||
\(343\) | −17.9215 | + | 1.94908i | −0.967670 | + | 0.105240i | ||||
\(344\) | −10.5083 | + | 7.12481i | −0.566570 | + | 0.384144i | ||||
\(345\) | −4.60504 | − | 1.03234i | −0.247927 | − | 0.0555793i | ||||
\(346\) | 9.61514 | + | 11.3198i | 0.516913 | + | 0.608557i | ||||
\(347\) | −8.63489 | + | 16.2871i | −0.463545 | + | 0.874339i | 0.536001 | + | 0.844217i | \(0.319934\pi\) |
−0.999546 | + | 0.0301215i | \(0.990411\pi\) | |||||||
\(348\) | 4.80379 | − | 1.59792i | 0.257510 | − | 0.0856575i | ||||
\(349\) | 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 | ||||
\(351\) | −6.08715 | + | 34.6092i | −0.324908 | + | 1.84730i | ||||
\(352\) | −9.03491 | + | 8.55832i | −0.481562 | + | 0.456160i | ||||
\(353\) | 6.46249 | 0.343964 | 0.171982 | − | 0.985100i | \(-0.444983\pi\) | ||||
0.171982 | + | 0.985100i | \(0.444983\pi\) | |||||||
\(354\) | 10.0638 | − | 8.05596i | 0.534887 | − | 0.428170i | ||||
\(355\) | −1.15840 | −0.0614813 | ||||||||
\(356\) | 2.48163 | − | 2.35073i | 0.131526 | − | 0.124588i | ||||
\(357\) | −16.2103 | − | 7.57596i | −0.857941 | − | 0.400962i | ||||
\(358\) | 1.33389 | − | 24.6021i | 0.0704982 | − | 1.30026i | ||||
\(359\) | −14.6048 | − | 2.39434i | −0.770814 | − | 0.126368i | −0.236473 | − | 0.971638i | \(-0.575992\pi\) |
−0.534340 | + | 0.845269i | \(0.679440\pi\) | |||||||
\(360\) | −1.13053 | + | 3.27142i | −0.0595841 | + | 0.172419i | ||||
\(361\) | 6.59530 | − | 12.4401i | 0.347121 | − | 0.654740i | ||||
\(362\) | 3.14500 | + | 3.70258i | 0.165298 | + | 0.194603i | ||||
\(363\) | 2.00077 | − | 8.92498i | 0.105013 | − | 0.468440i | ||||
\(364\) | 9.25137 | − | 6.27258i | 0.484904 | − | 0.328773i | ||||
\(365\) | −0.412853 | + | 0.0449005i | −0.0216097 | + | 0.00235020i | ||||
\(366\) | 2.43922 | − | 4.55816i | 0.127500 | − | 0.238259i | ||||
\(367\) | 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 | ||||
\(369\) | −4.52333 | − | 13.7761i | −0.235475 | − | 0.717155i | ||||
\(370\) | −1.64537 | − | 0.178944i | −0.0855385 | − | 0.00930288i | ||||
\(371\) | 8.33514 | − | 4.41901i | 0.432739 | − | 0.229424i | ||||
\(372\) | −12.8308 | + | 7.65257i | −0.665245 | + | 0.396767i | ||||
\(373\) | −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 | ||||
\(375\) | −5.29790 | + | 3.99511i | −0.273582 | + | 0.206307i | ||||
\(376\) | −4.94455 | + | 5.82117i | −0.254996 | + | 0.300204i | ||||
\(377\) | −6.89495 | − | 17.3050i | −0.355108 | − | 0.891254i | ||||
\(378\) | 3.96473 | + | 6.76595i | 0.203923 | + | 0.348003i | ||||
\(379\) | 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 | ||||
\(381\) | 0.0426698 | − | 11.0301i | 0.00218604 | − | 0.565087i | ||||
\(382\) | −15.0077 | − | 9.02981i | −0.767859 | − | 0.462005i | ||||
\(383\) | −8.04383 | + | 8.49177i | −0.411021 | + | 0.433909i | −0.898331 | − | 0.439320i | \(-0.855219\pi\) |
0.487310 | + | 0.873229i | \(0.337978\pi\) | |||||||
\(384\) | 6.95261 | − | 1.11222i | 0.354799 | − | 0.0567578i | ||||
\(385\) | 0.746992 | − | 1.24151i | 0.0380702 | − | 0.0632732i | ||||
\(386\) | −8.51845 | + | 6.47556i | −0.433578 | + | 0.329597i | ||||
\(387\) | 10.6839 | − | 7.12382i | 0.543092 | − | 0.362124i | ||||
\(388\) | −1.42180 | + | 4.21976i | −0.0721811 | + | 0.214226i | ||||
\(389\) | −22.2292 | + | 29.2420i | −1.12706 | + | 1.48263i | −0.273328 | + | 0.961921i | \(0.588124\pi\) |
−0.853736 | + | 0.520706i | \(0.825669\pi\) | |||||||
\(390\) | 4.24933 | + | 1.19755i | 0.215173 | + | 0.0606401i | ||||
\(391\) | −35.4100 | − | 30.0775i | −1.79076 | − | 1.52108i | ||||
\(392\) | −3.62955 | + | 13.0724i | −0.183320 | + | 0.660258i | ||||
\(393\) | 18.2801 | − | 15.4059i | 0.922108 | − | 0.777125i | ||||
\(394\) | −4.11862 | − | 6.84520i | −0.207493 | − | 0.344856i | ||||
\(395\) | 3.48947 | + | 1.39033i | 0.175574 | + | 0.0699551i | ||||
\(396\) | 5.56741 | − | 5.19260i | 0.279773 | − | 0.260938i | ||||
\(397\) | −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 | ||||
\(399\) | −14.3920 | − | 5.79890i | −0.720499 | − | 0.290308i | ||||
\(400\) | −3.30803 | − | 1.53046i | −0.165402 | − | 0.0765230i | ||||
\(401\) | −1.28974 | − | 7.86709i | −0.0644067 | − | 0.392864i | −0.999282 | − | 0.0378873i | \(-0.987937\pi\) |
0.934875 | − | 0.354976i | \(-0.115511\pi\) | |||||||
\(402\) | 5.30311 | + | 3.21878i | 0.264495 | + | 0.160538i | ||||
\(403\) | 30.8490 | + | 45.4988i | 1.53670 | + | 2.26646i | ||||
\(404\) | 11.9426 | − | 5.52523i | 0.594166 | − | 0.274890i | ||||
\(405\) | 1.16902 | − | 3.29988i | 0.0580890 | − | 0.163972i | ||||
\(406\) | −3.67282 | − | 1.94721i | −0.182279 | − | 0.0966382i | ||||
\(407\) | 8.69207 | + | 5.89337i | 0.430850 | + | 0.292123i | ||||
\(408\) | −24.8285 | + | 23.3372i | −1.22919 | + | 1.15536i | ||||
\(409\) | 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 | ||||
\(411\) | 27.0181 | − | 2.83268i | 1.33270 | − | 0.139726i | ||||
\(412\) | 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 | ||||
\(417\) | 7.63144 | + | 6.53320i | 0.373713 | + | 0.319932i | ||||
\(418\) | 2.15619 | − | 13.1522i | 0.105463 | − | 0.643294i | ||||
\(419\) | −7.31750 | + | 10.7925i | −0.357483 | + | 0.527248i | −0.963325 | − | 0.268337i | \(-0.913526\pi\) |
0.605842 | + | 0.795585i | \(0.292836\pi\) | |||||||
\(420\) | −1.01241 | + | 0.463646i | −0.0494007 | + | 0.0226236i | ||||
\(421\) | −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 | ||||
\(423\) | 5.04648 | − | 5.84885i | 0.245368 | − | 0.284381i | ||||
\(424\) | −1.94242 | − | 17.8603i | −0.0943323 | − | 0.867371i | ||||
\(425\) | −31.7360 | + | 5.20285i | −1.53942 | + | 0.252375i | ||||
\(426\) | 2.32398 | + | 4.42477i | 0.112597 | + | 0.214381i | ||||
\(427\) | 4.62303 | − | 1.28358i | 0.223724 | − | 0.0621167i | ||||
\(428\) | 4.74294 | − | 0.257155i | 0.229259 | − | 0.0124300i | ||||
\(429\) | −20.2625 | − | 19.3429i | −0.978282 | − | 0.933885i | ||||
\(430\) | −0.755677 | − | 1.42536i | −0.0364420 | − | 0.0687369i | ||||
\(431\) | 0.0511931 | − | 0.128485i | 0.00246589 | − | 0.00618891i | −0.927739 | − | 0.373231i | \(-0.878250\pi\) |
0.930205 | + | 0.367042i | \(0.119629\pi\) | |||||||
\(432\) | 3.86173 | − | 0.587162i | 0.185797 | − | 0.0282498i | ||||
\(433\) | 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 | ||||
\(435\) | 0.391927 | + | 1.81394i | 0.0187915 | + | 0.0869718i | ||||
\(436\) | −14.6711 | + | 5.84551i | −0.702620 | + | 0.279949i | ||||
\(437\) | −32.0731 | − | 24.3813i | −1.53426 | − | 1.16632i | ||||
\(438\) | 0.999777 | + | 1.48691i | 0.0477712 | + | 0.0710474i | ||||
\(439\) | 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 | ||||
\(441\) | 3.77323 | − | 13.1931i | 0.179678 | − | 0.628243i | ||||
\(442\) | 31.5535 | + | 29.8891i | 1.50085 | + | 1.42168i | ||||
\(443\) | −9.43910 | − | 8.94119i | −0.448465 | − | 0.424809i | 0.429843 | − | 0.902904i | \(-0.358569\pi\) |
−0.878308 | + | 0.478095i | \(0.841328\pi\) | |||||||
\(444\) | −2.95828 | − | 7.50908i | −0.140394 | − | 0.356365i | ||||
\(445\) | 0.758302 | + | 0.997529i | 0.0359470 | + | 0.0472874i | ||||
\(446\) | −1.80775 | + | 0.609102i | −0.0855994 | + | 0.0288418i | ||||
\(447\) | 20.9481 | − | 14.0852i | 0.990810 | − | 0.666205i | ||||
\(448\) | −8.11637 | − | 6.16991i | −0.383463 | − | 0.291501i | ||||
\(449\) | −34.7121 | + | 13.8306i | −1.63817 | + | 0.652705i | −0.993715 | − | 0.111941i | \(-0.964293\pi\) |
−0.644451 | + | 0.764646i | \(0.722914\pi\) | |||||||
\(450\) | 12.7456 | + | 6.01690i | 0.600834 | + | 0.283639i | ||||
\(451\) | 11.1374 | + | 3.09227i | 0.524438 | + | 0.145610i | ||||
\(452\) | −7.63423 | − | 1.68042i | −0.359084 | − | 0.0790404i | ||||
\(453\) | 1.13909 | + | 0.128345i | 0.0535193 | + | 0.00603015i | ||||
\(454\) | −2.22209 | + | 5.57701i | −0.104288 | + | 0.261742i | ||||
\(455\) | 1.91921 | + | 3.62001i | 0.0899738 | + | 0.169709i | ||||
\(456\) | −20.4030 | + | 21.3730i | −0.955459 | + | 1.00088i | ||||
\(457\) | 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 | ||||
\(459\) | 25.2942 | − | 23.4090i | 1.18063 | − | 1.09264i | ||||
\(460\) | −2.85319 | + | 0.467757i | −0.133031 | + | 0.0218093i | ||||
\(461\) | −0.940833 | − | 8.65081i | −0.0438189 | − | 0.402909i | −0.995422 | − | 0.0955784i | \(-0.969530\pi\) |
0.951603 | − | 0.307330i | \(-0.0994356\pi\) | |||||||
\(462\) | −6.24086 | − | 0.362589i | −0.290351 | − | 0.0168691i | ||||
\(463\) | −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 | ||||
\(465\) | −2.28024 | − | 4.97912i | −0.105744 | − | 0.230901i | ||||
\(466\) | 4.77573 | − | 7.04368i | 0.221232 | − | 0.326292i | ||||
\(467\) | −3.09122 | + | 18.8556i | −0.143044 | + | 0.872533i | 0.813632 | + | 0.581380i | \(0.197487\pi\) |
−0.956677 | + | 0.291153i | \(0.905961\pi\) | |||||||
\(468\) | 4.46521 | + | 21.0605i | 0.206405 | + | 0.973522i | ||||
\(469\) | 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 | ||||||||
\(474\) | −1.68989 | − | 16.1181i | −0.0776191 | − | 0.740330i | ||||
\(475\) | −27.2355 | + | 5.99498i | −1.24965 | + | 0.275069i | ||||
\(476\) | −10.9462 | − | 0.593484i | −0.501716 | − | 0.0272023i | ||||
\(477\) | 1.82481 | + | 18.0791i | 0.0835521 | + | 0.827785i | ||||
\(478\) | −4.37808 | − | 2.96841i | −0.200249 | − | 0.135772i | ||||
\(479\) | 28.5070 | + | 15.1134i | 1.30252 | + | 0.690551i | 0.967789 | − | 0.251764i | \(-0.0810107\pi\) |
0.334728 | + | 0.942315i | \(0.391356\pi\) | |||||||
\(480\) | 0.176265 | + | 3.50154i | 0.00804537 | + | 0.159823i | ||||
\(481\) | −26.9522 | + | 12.4694i | −1.22891 | + | 0.568556i | ||||
\(482\) | 10.4354 | + | 15.3911i | 0.475320 | + | 0.701044i | ||||
\(483\) | −9.80506 | + | 16.1543i | −0.446146 | + | 0.735048i | ||||
\(484\) | −0.906555 | − | 5.52974i | −0.0412070 | − | 0.251352i | ||||
\(485\) | −1.48143 | − | 0.685380i | −0.0672680 | − | 0.0311215i | ||||
\(486\) | −14.9500 | + | 2.15488i | −0.678144 | + | 0.0977475i | ||||
\(487\) | 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 | ||||
\(489\) | −1.43920 | − | 0.241665i | −0.0650827 | − | 0.0109285i | ||||
\(490\) | −1.60152 | − | 0.638105i | −0.0723495 | − | 0.0288267i | ||||
\(491\) | 7.79558 | + | 12.9564i | 0.351809 | + | 0.584712i | 0.981344 | − | 0.192261i | \(-0.0615819\pi\) |
−0.629534 | + | 0.776973i | \(0.716754\pi\) | |||||||
\(492\) | −5.72461 | − | 6.79262i | −0.258086 | − | 0.306235i | ||||
\(493\) | −4.88762 | + | 17.6036i | −0.220127 | + | 0.792827i | ||||
\(494\) | 28.7250 | + | 24.3992i | 1.29240 | + | 1.09777i | ||||
\(495\) | 1.67165 | + | 2.23469i | 0.0751349 | + | 0.100442i | ||||
\(496\) | 3.69786 | − | 4.86445i | 0.166039 | − | 0.218420i | ||||
\(497\) | −1.48106 | + | 4.39564i | −0.0664347 | + | 0.197171i | ||||
\(498\) | −6.16810 | + | 18.0749i | −0.276399 | + | 0.809955i | ||||
\(499\) | −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 | ||||
\(501\) | −2.30257 | − | 14.3936i | −0.102871 | − | 0.643058i | ||||
\(502\) | 6.37069 | − | 6.72545i | 0.284338 | − | 0.300172i | ||||
\(503\) | 16.8882 | + | 10.1613i | 0.753009 | + | 0.453070i | 0.839622 | − | 0.543172i | \(-0.182777\pi\) |
−0.0866128 | + | 0.996242i | \(0.527604\pi\) | |||||||
\(504\) | 10.9683 | + | 8.47255i | 0.488565 | + | 0.377397i | ||||
\(505\) | 1.54019 | + | 4.57113i | 0.0685376 | + | 0.203412i | ||||
\(506\) | −15.3820 | − | 5.18281i | −0.683815 | − | 0.230404i | ||||
\(507\) | 54.6907 | − | 14.9572i | 2.42890 | − | 0.664271i | ||||
\(508\) | −2.50123 | − | 6.27762i | −0.110974 | − | 0.278524i | ||||
\(509\) | 24.8867 | − | 29.2989i | 1.10308 | − | 1.29865i | 0.152458 | − | 0.988310i | \(-0.451281\pi\) |
0.950626 | − | 0.310340i | \(-0.100443\pi\) | |||||||
\(510\) | −2.60698 | − | 3.45711i | −0.115439 | − | 0.153083i | ||||
\(511\) | −0.357473 | + | 1.62402i | −0.0158137 | + | 0.0718422i | ||||
\(512\) | −7.17297 | + | 4.31583i | −0.317003 | + | 0.190735i | ||||
\(513\) | 20.8029 | − | 21.4570i | 0.918472 | − | 0.947352i | ||||
\(514\) | −20.3591 | + | 10.7937i | −0.898001 | + | 0.476090i | ||||
\(515\) | −0.735401 | − | 0.0799797i | −0.0324056 | − | 0.00352433i | ||||
\(516\) | 4.44004 | − | 6.49434i | 0.195462 | − | 0.285897i | ||||
\(517\) | 1.64747 | + | 5.93367i | 0.0724559 | + | 0.260962i | ||||
\(518\) | −2.78270 | + | 6.01470i | −0.122265 | + | 0.264271i | ||||
\(519\) | −23.4082 | − | 12.5265i | −1.02751 | − | 0.549852i | ||||
\(520\) | 7.75684 | − | 0.843607i | 0.340160 | − | 0.0369946i | ||||
\(521\) | −36.4222 | + | 24.6949i | −1.59569 | + | 1.08190i | −0.648503 | + | 0.761212i | \(0.724605\pi\) |
−0.947184 | + | 0.320690i | \(0.896085\pi\) | |||||||
\(522\) | 6.14249 | − | 5.13620i | 0.268849 | − | 0.224805i | ||||
\(523\) | −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 | ||||
\(525\) | 4.12868 | + | 12.4120i | 0.180190 | + | 0.541703i | ||||
\(526\) | 26.3590 | + | 4.32133i | 1.14931 | + | 0.188419i | ||||
\(527\) | 2.91879 | − | 53.8339i | 0.127145 | − | 2.34504i | ||||
\(528\) | −1.31838 | + | 2.82095i | −0.0573752 | + | 0.122766i | ||||
\(529\) | −18.9241 | + | 17.9259i | −0.822787 | + | 0.779385i | ||||
\(530\) | 2.28290 | 0.0991629 | ||||||||
\(531\) | −11.4592 | + | 19.9922i | −0.497288 | + | 0.867586i | ||||
\(532\) | −9.50599 | −0.412137 | ||||||||
\(533\) | −23.7300 | + | 22.4782i | −1.02786 | + | 0.973641i | ||||
\(534\) | 2.28899 | − | 4.89776i | 0.0990543 | − | 0.211947i | ||||
\(535\) | −0.0942655 | + | 1.73863i | −0.00407545 | + | 0.0751673i | ||||
\(536\) | 10.8193 | + | 1.77374i | 0.467323 | + | 0.0766138i | ||||
\(537\) | 13.9012 | + | 41.7908i | 0.599880 | + | 1.80341i | ||||
\(538\) | −2.34933 | + | 4.43130i | −0.101287 | + | 0.191047i | ||||
\(539\) | 7.08161 | + | 8.33711i | 0.305027 | + | 0.359105i | ||||
\(540\) | −0.0912536 | − | 2.14282i | −0.00392693 | − | 0.0922124i | ||||
\(541\) | −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 | ||||
\(543\) | −7.65656 | − | 4.09727i | −0.328574 | − | 0.175831i | ||||
\(544\) | −14.4924 | + | 31.3248i | −0.621356 | + | 1.34304i | ||||
\(545\) | −1.54877 | − | 5.57817i | −0.0663420 | − | 0.238942i | ||||
\(546\) | 9.97716 | − | 14.5934i | 0.426983 | − | 0.624538i | ||||
\(547\) | 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 | ||||
\(549\) | −1.07020 | + | 9.17906i | −0.0456752 | + | 0.391753i | ||||
\(550\) | −9.62732 | + | 5.79257i | −0.410510 | + | 0.246996i | ||||
\(551\) | −3.40569 | + | 15.4722i | −0.145087 | + | 0.659138i | ||||
\(552\) | 21.6670 | + | 28.7325i | 0.922208 | + | 1.22293i | ||||
\(553\) | 9.73717 | − | 11.4635i | 0.414067 | − | 0.487477i | ||||
\(554\) | 0.294572 | + | 0.739321i | 0.0125152 | + | 0.0314107i | ||||
\(555\) | 2.85372 | − | 0.780454i | 0.121134 | − | 0.0331284i | ||||
\(556\) | 5.83244 | + | 1.96518i | 0.247351 | + | 0.0833421i | ||||
\(557\) | −7.14631 | − | 21.2095i | −0.302799 | − | 0.898675i | −0.985751 | − | 0.168212i | \(-0.946201\pi\) |
0.682952 | − | 0.730463i | \(-0.260696\pi\) | |||||||
\(558\) | −14.4443 | + | 18.6991i | −0.611475 | + | 0.791594i | ||||
\(559\) | −24.8036 | − | 14.9238i | −1.04908 | − | 0.631212i | ||||
\(560\) | 0.313208 | − | 0.330650i | 0.0132355 | − | 0.0139725i | ||||
\(561\) | 4.33983 | + | 27.1287i | 0.183228 | + | 1.14538i | ||||
\(562\) | 4.08316 | − | 6.78626i | 0.172237 | − | 0.286261i | ||||
\(563\) | 26.3463 | − | 20.0279i | 1.11036 | − | 0.844077i | 0.121455 | − | 0.992597i | \(-0.461244\pi\) |
0.988909 | + | 0.148520i | \(0.0474508\pi\) | |||||||
\(564\) | 1.52850 | − | 4.47908i | 0.0643614 | − | 0.188603i | ||||
\(565\) | 0.914953 | − | 2.71548i | 0.0384924 | − | 0.114241i | ||||
\(566\) | 17.4829 | − | 22.9984i | 0.734861 | − | 0.966694i | ||||
\(567\) | −11.0270 | − | 8.65499i | −0.463092 | − | 0.363475i | ||||
\(568\) | 6.73225 | + | 5.71843i | 0.282479 | + | 0.239940i | ||||
\(569\) | 7.53015 | − | 27.1212i | 0.315680 | − | 1.13698i | −0.620137 | − | 0.784493i | \(-0.712923\pi\) |
0.935818 | − | 0.352485i | \(-0.114663\pi\) | |||||||
\(570\) | −2.41965 | − | 2.87107i | −0.101348 | − | 0.120256i | ||||
\(571\) | −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 | ||||
\(573\) | 30.8763 | + | 5.18465i | 1.28988 | + | 0.216592i | ||||
\(574\) | −0.788652 | + | 7.25154i | −0.0329177 | + | 0.302673i | ||||
\(575\) | 1.83877 | + | 33.9140i | 0.0766818 | + | 1.41431i | ||||
\(576\) | 16.9040 | − | 9.99347i | 0.704332 | − | 0.416394i | ||||
\(577\) | −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 | ||||
\(579\) | 9.92452 | − | 16.3512i | 0.412449 | − | 0.679531i | ||||
\(580\) | 0.638039 | + | 0.941037i | 0.0264931 | + | 0.0390745i | ||||
\(581\) | −16.0864 | + | 7.44236i | −0.667377 | + | 0.308761i | ||||
\(582\) | 0.354070 | + | 7.03367i | 0.0146767 | + | 0.291555i | ||||
\(583\) | −12.7979 | − | 6.78503i | −0.530036 | − | 0.281007i | ||||
\(584\) | 2.62103 | + | 1.77710i | 0.108459 | + | 0.0735371i | ||||
\(585\) | −7.85189 | + | 0.792526i | −0.324636 | + | 0.0327669i | ||||
\(586\) | 13.2590 | + | 0.718881i | 0.547723 | + | 0.0296967i | ||||
\(587\) | −29.5588 | + | 6.50638i | −1.22002 | + | 0.268547i | −0.777889 | − | 0.628402i | \(-0.783709\pi\) |
−0.442133 | + | 0.896949i | \(0.645778\pi\) | |||||||
\(588\) | −0.876593 | − | 8.36093i | −0.0361501 | − | 0.344799i | ||||
\(589\) | − | 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 | \(0.0125993\pi\) |
−0.890249 | + | 0.455474i | \(0.849470\pi\) | |||||||
\(594\) | 5.18227 | − | 10.8685i | 0.212631 | − | 0.445940i | ||||
\(595\) | 0.650111 | − | 3.96550i | 0.0266520 | − | 0.162570i | ||||
\(596\) | 8.67879 | − | 12.8003i | 0.355497 | − | 0.524319i | ||||
\(597\) | 4.20051 | + | 9.17219i | 0.171915 | + | 0.375393i | ||||
\(598\) | 34.9838 | − | 29.7155i | 1.43059 | − | 1.21516i | ||||
\(599\) | 15.8232 | + | 34.2013i | 0.646519 | + | 1.39743i | 0.902476 | + | 0.430740i | \(0.141747\pi\) |
−0.255957 | + | 0.966688i | \(0.582391\pi\) | |||||||
\(600\) | 24.8678 | + | 1.44480i | 1.01522 | + | 0.0589837i | ||||
\(601\) | 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 | ||||
\(603\) | −10.9288 | − | 1.87863i | −0.445055 | − | 0.0765036i | ||||
\(604\) | 0.676679 | − | 0.187879i | 0.0275337 | − | 0.00764468i | ||||
\(605\) | 2.05109 | − | 0.111207i | 0.0833887 | − | 0.00452120i | ||||
\(606\) | 14.3706 | − | 15.0537i | 0.583764 | − | 0.611517i | ||||
\(607\) | 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 | ||||
\(609\) | 7.38425 | + | 0.832002i | 0.299225 | + | 0.0337144i | ||||
\(610\) | 1.13387 | + | 0.249585i | 0.0459093 | + | 0.0101054i | ||||
\(611\) | −16.7795 | − | 4.65880i | −0.678825 | − | 0.188475i | ||||
\(612\) | 9.01367 | − | 19.0937i | 0.364356 | − | 0.771816i | ||||
\(613\) | −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 | ||||
\(615\) | 2.70227 | − | 1.81696i | 0.108966 | − | 0.0732670i | ||||
\(616\) | −10.4700 | + | 3.52776i | −0.421849 | + | 0.142137i | ||||
\(617\) | −4.46183 | − | 5.86943i | −0.179626 | − | 0.236294i | 0.697464 | − | 0.716620i | \(-0.254312\pi\) |
−0.877090 | + | 0.480325i | \(0.840519\pi\) | |||||||
\(618\) | 1.16986 | + | 2.96949i | 0.0470588 | + | 0.119451i | ||||
\(619\) | −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 | ||||
\(621\) | −21.6892 | − | 29.2296i | −0.870358 | − | 1.17294i | ||||
\(622\) | −3.67946 | − | 4.84025i | −0.147533 | − | 0.194076i | ||||
\(623\) | 4.75474 | − | 1.60206i | 0.190494 | − | 0.0641851i | ||||
\(624\) | −4.91324 | − | 7.30719i | −0.196687 | − | 0.292522i | ||||
\(625\) | 18.1137 | + | 13.7697i | 0.724550 | + | 0.550788i | ||||
\(626\) | −4.77848 | + | 1.90392i | −0.190987 | + | 0.0760960i | ||||
\(627\) | 5.03142 | + | 23.2867i | 0.200935 | + | 0.929980i | ||||
\(628\) | 8.42954 | + | 2.34045i | 0.336375 | + | 0.0933941i | ||||
\(629\) | 28.4444 | + | 6.26110i | 1.13415 | + | 0.249646i | ||||
\(630\) | −1.22099 | + | 1.26917i | −0.0486456 | + | 0.0505651i | ||||
\(631\) | 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 | ||||
\(633\) | −2.43845 | − | 2.32778i | −0.0969196 | − | 0.0925211i | ||||
\(634\) | 11.8184 | − | 0.640777i | 0.469370 | − | 0.0254485i | ||||
\(635\) | 2.38684 | − | 0.662702i | 0.0947188 | − | 0.0262985i | ||||
\(636\) | 5.17640 | + | 9.85567i | 0.205258 | + | 0.390803i | ||||
\(637\) | −30.5256 | + | 5.00442i | −1.20947 | + | 0.198282i | ||||
\(638\) | 0.690107 | + | 6.34542i | 0.0273216 | + | 0.251218i | ||||
\(639\) | −6.76427 | − | 5.83631i | −0.267590 | − | 0.230881i | ||||
\(640\) | 0.663953 | + | 1.43511i | 0.0262450 | + | 0.0567277i | ||||
\(641\) | 12.9705 | − | 11.0173i | 0.512305 | − | 0.435155i | −0.353576 | − | 0.935406i | \(-0.615035\pi\) |
0.865881 | + | 0.500250i | \(0.166759\pi\) | |||||||
\(642\) | 6.83021 | − | 3.12797i | 0.269567 | − | 0.123451i | ||||
\(643\) | −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 | ||||
\(645\) | 2.19071 | + | 1.87544i | 0.0862591 | + | 0.0738455i | ||||
\(646\) | −7.94605 | − | 36.0993i | −0.312633 | − | 1.42031i | ||||
\(647\) | 17.0796 | + | 18.0308i | 0.671470 | + | 0.708863i | 0.969334 | − | 0.245746i | \(-0.0790328\pi\) |
−0.297864 | + | 0.954608i | \(0.596274\pi\) | |||||||
\(648\) | −23.0838 | + | 13.4070i | −0.906819 | + | 0.526678i | ||||
\(649\) | −8.19200 | − | 16.4417i | −0.321564 | − | 0.645391i | ||||
\(650\) | − | 31.7726i | − | 1.24622i | ||||||
\(651\) | −21.8091 | + | 2.28655i | −0.854766 | + | 0.0896170i | ||||
\(652\) | −0.873159 | + | 0.192197i | −0.0341955 | + | 0.00752701i | ||||
\(653\) | −13.7515 | − | 0.745587i | −0.538140 | − | 0.0291771i | −0.216934 | − | 0.976186i | \(-0.569605\pi\) |
−0.321206 | + | 0.947009i | \(0.604088\pi\) | |||||||
\(654\) | −18.2000 | + | 17.1068i | −0.711675 | + | 0.668930i | ||||
\(655\) | 4.44369 | + | 3.01290i | 0.173630 | + | 0.117724i | ||||
\(656\) | 3.21006 | + | 1.70187i | 0.125332 | + | 0.0664467i | ||||
\(657\) | −2.63701 | − | 1.81788i | −0.102880 | − | 0.0709222i | ||||
\(658\) | −3.52701 | + | 1.63177i | −0.137497 | + | 0.0636130i | ||||
\(659\) | 9.42895 | + | 13.9067i | 0.367300 | + | 0.541727i | 0.965764 | − | 0.259423i | \(-0.0835324\pi\) |
−0.598464 | + | 0.801150i | \(0.704222\pi\) | |||||||
\(660\) | 1.46158 | + | 0.887121i | 0.0568918 | + | 0.0345311i | ||||
\(661\) | −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 | ||||
\(663\) | −72.0616 | − | 29.0355i | −2.79864 | − | 1.12764i | ||||
\(664\) | 1.82737 | + | 33.7039i | 0.0709157 | + | 1.30796i | ||||
\(665\) | 0.376754 | − | 3.46420i | 0.0146099 | − | 0.134336i | ||||
\(666\) | −8.70628 | − | 9.33472i | −0.337362 | − | 0.361713i | ||||
\(667\) | 17.9242 | + | 7.14164i | 0.694026 | + | 0.276525i | ||||
\(668\) | −4.60404 | − | 7.65197i | −0.178136 | − | 0.296064i | ||||
\(669\) | 2.60745 | − | 2.19748i | 0.100810 | − | 0.0849595i | ||||
\(670\) | −0.372713 | + | 1.34239i | −0.0143992 | + | 0.0518611i | ||||
\(671\) | −5.61470 | − | 4.76917i | −0.216753 | − | 0.184112i | ||||
\(672\) | 13.5123 | + | 3.80802i | 0.521247 | + | 0.146898i | ||||
\(673\) | 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 | ||||
\(675\) | −25.1401 | − | 1.65587i | −0.967642 | − | 0.0637346i | ||||
\(676\) | 27.6535 | − | 21.0216i | 1.06359 | − | 0.808524i | ||||
\(677\) | −9.96760 | + | 16.5663i | −0.383086 | + | 0.636694i | −0.987068 | − | 0.160304i | \(-0.948752\pi\) |
0.603982 | + | 0.796998i | \(0.293580\pi\) | |||||||
\(678\) | −12.2080 | + | 1.95294i | −0.468846 | + | 0.0750021i | ||||
\(679\) | −4.49481 | + | 4.74511i | −0.172495 | + | 0.182101i | ||||
\(680\) | −6.55703 | − | 3.94523i | −0.251450 | − | 0.151293i | ||||
\(681\) | 0.0415140 | − | 10.7313i | 0.00159082 | − | 0.411224i | ||||
\(682\) | −6.01424 | − | 17.8496i | −0.230297 | − | 0.683498i | ||||
\(683\) | −35.2363 | − | 11.8725i | −1.34828 | − | 0.454288i | −0.449732 | − | 0.893164i | \(-0.648480\pi\) |
−0.898548 | + | 0.438876i | \(0.855377\pi\) | |||||||
\(684\) | 6.90842 | − | 16.9561i | 0.264150 | − | 0.648333i | ||||
\(685\) | 2.25819 | + | 5.66763i | 0.0862810 | + | 0.216549i | ||||
\(686\) | −11.3082 | + | 13.3130i | −0.431749 | + | 0.508294i | ||||
\(687\) | −21.0725 | + | 15.8907i | −0.803967 | + | 0.606266i | ||||
\(688\) | −0.691708 | + | 3.14246i | −0.0263711 | + | 0.119805i | ||||
\(689\) | 35.0987 | − | 21.1182i | 1.33715 | − | 0.804538i | ||||
\(690\) | −3.92733 | + | 2.34235i | −0.149511 | + | 0.0891719i | ||||
\(691\) | −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 | ||||
\(693\) | 10.6170 | − | 3.48605i | 0.403307 | − | 0.132424i | ||||
\(694\) | 4.77863 | + | 17.2111i | 0.181394 | + | 0.653324i | ||||
\(695\) | −0.947314 | + | 2.04759i | −0.0359337 | + | 0.0776694i | ||||
\(696\) | 6.67676 | − | 12.4768i | 0.253082 | − | 0.472933i | ||||
\(697\) | 31.8692 | − | 3.46598i | 1.20713 | − | 0.131283i | ||||
\(698\) | 16.7587 | − | 11.3627i | 0.634327 | − | 0.430084i | ||||
\(699\) | −3.32761 | + | 14.8437i | −0.125862 | + | 0.561442i | ||||
\(700\) | 5.18802 | + | 6.10781i | 0.196089 | + | 0.230853i | ||||
\(701\) | −3.94099 | + | 7.43350i | −0.148849 | + | 0.280760i | −0.946713 | − | 0.322078i | \(-0.895619\pi\) |
0.797864 | + | 0.602838i | \(0.205963\pi\) | |||||||
\(702\) | 18.7797 | + | 28.4022i | 0.708796 | + | 1.07197i | ||||
\(703\) | 24.9236 | + | 4.08602i | 0.940011 | + | 0.154107i | ||||
\(704\) | −0.847490 | + | 15.6310i | −0.0319410 | + | 0.589117i | ||||
\(705\) | 1.57170 | + | 0.734540i | 0.0591936 | + | 0.0276644i | ||||
\(706\) | 4.54607 | − | 4.30626i | 0.171094 | − | 0.162068i | ||||
\(707\) | 19.3147 | 0.726406 | ||||||||
\(708\) | −1.93425 | + | 13.9843i | −0.0726937 | + | 0.525563i | ||||
\(709\) | 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 | ||||
\(711\) | 13.3713 | + | 25.6995i | 0.501463 | + | 0.963806i | ||||
\(712\) | 0.517282 | − | 9.54070i | 0.0193860 | − | 0.357553i | ||||
\(713\) | −56.1876 | − | 9.21149i | −2.10424 | − | 0.344973i | ||||
\(714\) | −16.4514 | + | 5.47236i | −0.615680 | + | 0.204798i | ||||
\(715\) | 2.94679 | − | 5.55823i | 0.110204 | − | 0.207866i | ||||
\(716\) | 17.4679 | + | 20.5648i | 0.652807 | + | 0.768544i | ||||
\(717\) | 9.22630 | + | 2.06832i | 0.344562 | + | 0.0772427i | ||||
\(718\) | −11.8693 | + | 8.04758i | −0.442958 | + | 0.300333i | ||||
\(719\) | −23.2266 | + | 2.52605i | −0.866208 | + | 0.0942058i | −0.530423 | − | 0.847733i | \(-0.677967\pi\) |
−0.335785 | + | 0.941939i | \(0.609001\pi\) | |||||||
\(720\) | 0.362167 | + | 0.798976i | 0.0134972 | + | 0.0297761i | ||||
\(721\) | −1.24373 | + | 2.68829i | −0.0463191 | + | 0.100117i | ||||
\(722\) | −3.64991 | − | 13.1458i | −0.135835 | − | 0.489235i | ||||
\(723\) | −27.4400 | − | 18.7601i | −1.02050 | − | 0.697696i | ||||
\(724\) | −5.28898 | − | 0.575211i | −0.196563 | − | 0.0213776i | ||||
\(725\) | 11.7999 | − | 6.25592i | 0.438238 | − | 0.232339i | ||||
\(726\) | −4.53969 | − | 7.61153i | −0.168484 | − | 0.282490i | ||||
\(727\) | −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 | ||||
\(729\) | 23.4520 | − | 13.3793i | 0.868592 | − | 0.495528i | ||||
\(730\) | −0.260504 | + | 0.306689i | −0.00964169 | + | 0.0113511i | ||||
\(731\) | 10.5083 | + | 26.3738i | 0.388662 | + | 0.975469i | ||||
\(732\) | 1.49352 | + | 5.46106i | 0.0552023 | + | 0.201846i | ||||
\(733\) | −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 | ||||
\(735\) | 3.08165 | + | 0.0119214i | 0.113669 | + | 0.000439727i | ||||
\(736\) | 31.2335 | + | 18.7926i | 1.15128 | + | 0.692703i | ||||
\(737\) | 6.07916 | − | 6.41769i | 0.223929 | − | 0.236399i | ||||
\(738\) | −12.3616 | − | 6.67675i | −0.455038 | − | 0.245775i | ||||
\(739\) | −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 | ||||
\(741\) | −63.7603 | − | 21.7584i | −2.34229 | − | 0.799313i | ||||
\(742\) | 2.91879 | − | 8.66267i | 0.107152 | − | 0.318017i | ||||
\(743\) | 14.4375 | − | 18.9923i | 0.529662 | − | 0.696758i | −0.450988 | − | 0.892530i | \(-0.648928\pi\) |
0.980649 | + | 0.195772i | \(0.0627213\pi\) | |||||||
\(744\) | −11.3273 | + | 40.1936i | −0.415281 | + | 1.47357i | ||||
\(745\) | 4.32073 | + | 3.67006i | 0.158299 | + | 0.134461i | ||||
\(746\) | −1.65190 | + | 5.94960i | −0.0604803 | + | 0.217831i | ||||
\(747\) | −1.58446 | − | 34.1025i | −0.0579725 | − | 1.24774i | ||||
\(748\) | 8.67761 | + | 14.4223i | 0.317285 | + | 0.527331i | ||||
\(749\) | 6.47685 | + | 2.58061i | 0.236659 | + | 0.0942935i | ||||
\(750\) | −1.06470 | + | 6.34062i | −0.0388772 | + | 0.231527i | ||||
\(751\) | 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 | ||||
\(753\) | −6.18875 | + | 15.3595i | −0.225531 | + | 0.559732i | ||||
\(754\) | −16.3814 | − | 7.57886i | −0.596577 | − | 0.276006i | ||||
\(755\) | 0.0416483 | + | 0.254043i | 0.00151574 | + | 0.00924557i | ||||
\(756\) | −8.24780 | − | 2.39343i | −0.299970 | − | 0.0870481i | ||||
\(757\) | −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 | ||||
\(759\) | 28.9783 | − | 1.45875i | 1.05185 | − | 0.0529493i | ||||
\(760\) | −5.86286 | − | 3.10829i | −0.212668 | − | 0.112750i | ||||
\(761\) | −1.04718 | − | 0.710004i | −0.0379601 | − | 0.0257376i | 0.542059 | − | 0.840340i | \(-0.317645\pi\) |
−0.580020 | + | 0.814603i | \(0.696955\pi\) | |||||||
\(762\) | −7.31984 | − | 7.78758i | −0.265170 | − | 0.282114i | ||||
\(763\) | −23.1470 | − | 1.25499i | −0.837978 | − | 0.0454339i | ||||
\(764\) | 18.7326 | − | 4.12336i | 0.677722 | − | 0.149178i | ||||
\(765\) | 6.60092 | + | 4.04153i | 0.238657 | + | 0.146122i | ||||
\(766\) | 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 | ||||
\(771\) | 26.7879 | − | 31.2910i | 0.964742 | − | 1.12692i | ||||
\(772\) | 1.89581 | − | 11.5639i | 0.0682317 | − | 0.416195i | ||||
\(773\) | −5.15149 | + | 7.59788i | −0.185286 | + | 0.273277i | −0.908976 | − | 0.416849i | \(-0.863134\pi\) |
0.723690 | + | 0.690126i | \(0.242445\pi\) | |||||||
\(774\) | 2.76869 | − | 12.1305i | 0.0995183 | − | 0.436020i | ||||
\(775\) | −30.0386 | + | 25.5150i | −1.07902 | + | 0.916526i | ||||
\(776\) | 5.22622 | + | 11.2963i | 0.187610 | + | 0.405513i | ||||
\(777\) | 0.687112 | − | 11.8265i | 0.0246500 | − | 0.424275i | ||||
\(778\) | 3.84811 | + | 35.3828i | 0.137961 | + | 1.26853i | ||||
\(779\) | 27.4324 | − | 4.49731i | 0.982866 | − | 0.161133i | ||||
\(780\) | −4.28039 | + | 2.24815i | −0.153263 | + | 0.0804967i | ||||
\(781\) | 6.86236 | − | 1.90532i | 0.245555 | − | 0.0681779i | ||||
\(782\) | −44.9514 | + | 2.43719i | −1.60746 | + | 0.0871538i | ||||
\(783\) | −6.85052 | + | 12.5668i | −0.244818 | + | 0.449102i | ||||
\(784\) | 1.61059 | + | 3.03790i | 0.0575211 | + | 0.108496i | ||||
\(785\) | −1.18700 | + | 2.97915i | −0.0423660 | + | 0.106331i | ||||
\(786\) | 2.59352 | − | 23.0182i | 0.0925079 | − | 0.821034i | ||||
\(787\) | −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 | ||||
\(789\) | −46.6700 | + | 10.0837i | −1.66150 | + | 0.358990i | ||||
\(790\) | 3.38112 | − | 1.34716i | 0.120295 | − | 0.0479299i | ||||
\(791\) | −9.13433 | − | 6.94374i | −0.324780 | − | 0.246891i | ||||
\(792\) | 1.31645 | − | 21.2394i | 0.0467781 | − | 0.754711i | ||||
\(793\) | 19.7417 | − | 6.65175i | 0.701047 | − | 0.236210i | ||||
\(794\) | 11.1803 | + | 14.7075i | 0.396775 | + | 0.521948i | ||||
\(795\) | −3.79679 | + | 1.49578i | −0.134658 | + | 0.0530500i | ||||
\(796\) | 4.48704 | + | 4.25035i | 0.159039 | + | 0.150650i | ||||
\(797\) | −12.6571 | − | 11.9895i | −0.448338 | − | 0.424688i | 0.429926 | − | 0.902864i | \(-0.358540\pi\) |
−0.878264 | + | 0.478176i | \(0.841298\pi\) | |||||||
\(798\) | −13.9882 | + | 5.51079i | −0.495176 | + | 0.195080i | ||||
\(799\) | 10.3358 | + | 13.5965i | 0.365655 | + | 0.481011i | ||||
\(800\) | 23.9108 | − | 8.05648i | 0.845374 | − | 0.284840i | ||||
\(801\) | −0.597839 | + | 9.64544i | −0.0211236 | + | 0.340805i | ||||
\(802\) | −6.14949 | − | 4.67472i | −0.217146 | − | 0.165070i | ||||
\(803\) | 2.37190 | − | 0.945051i | 0.0837025 | − | 0.0333501i | ||||
\(804\) | −6.64045 | + | 1.43476i | −0.234191 | + | 0.0506002i | ||||
\(805\) | −4.08920 | − | 1.13536i | −0.144125 | − | 0.0400162i | ||||
\(806\) | 52.0189 | + | 11.4502i | 1.83229 | + | 0.403317i | ||||
\(807\) | 1.00382 | − | 8.90919i | 0.0353362 | − | 0.313618i | ||||
\(808\) | 13.6143 | − | 34.1692i | 0.478948 | − | 1.20207i | ||||
\(809\) | −6.29275 | − | 11.8694i | −0.221241 | − | 0.417305i | 0.747900 | − | 0.663811i | \(-0.231062\pi\) |
−0.969141 | + | 0.246506i | \(0.920717\pi\) | |||||||
\(810\) | −1.37651 | − | 3.10029i | −0.0483657 | − | 0.108933i | ||||
\(811\) | 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 | ||||
\(813\) | 46.7337 | − | 24.5455i | 1.63902 | − | 0.860849i | ||||
\(814\) | 10.0415 | − | 1.64622i | 0.351955 | − | 0.0577000i | ||||
\(815\) | −0.0354346 | − | 0.325816i | −0.00124122 | − | 0.0114128i | ||||
\(816\) | −0.500895 | + | 8.62139i | −0.0175348 | + | 0.301809i | ||||
\(817\) | 10.3371 | + | 22.3433i | 0.361651 | + | 0.781695i | ||||
\(818\) | 8.13463 | − | 6.90962i | 0.284421 | − | 0.241589i | ||||
\(819\) | −7.03168 | + | 30.8080i | −0.245707 | + | 1.07652i | ||||
\(820\) | 1.11955 | − | 1.65121i | 0.0390964 | − | 0.0576629i | ||||
\(821\) | −6.47098 | + | 39.4712i | −0.225839 | + | 1.37756i | 0.593771 | + | 0.804634i | \(0.297638\pi\) |
−0.819610 | + | 0.572922i | \(0.805810\pi\) | |||||||
\(822\) | 17.1185 | − | 19.9961i | 0.597075 | − | 0.697444i | ||||
\(823\) | 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 | \(-0.751370\pi\) | ||
0.710145 | − | 0.704056i | \(-0.248630\pi\) | |||||||
\(828\) | −19.0174 | − | 11.6438i | −0.660902 | − | 0.404649i | ||||
\(829\) | 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 | ||||
\(831\) | −0.974327 | − | 1.03659i | −0.0337990 | − | 0.0359588i | ||||
\(832\) | −36.6393 | − | 24.8421i | −1.27024 | − | 0.861244i | ||||
\(833\) | 26.8038 | + | 14.2105i | 0.928697 | + | 0.492364i | ||||
\(834\) | 9.72175 | − | 0.489387i | 0.336637 | − | 0.0169461i | ||||
\(835\) | 2.97102 | − | 1.37454i | 0.102817 | − | 0.0475680i | ||||
\(836\) | 8.19091 | + | 12.0807i | 0.283288 | + | 0.417819i | ||||
\(837\) | 11.7710 | − | 40.5632i | 0.406866 | − | 1.40207i | ||||
\(838\) | 2.04403 | + | 12.4680i | 0.0706098 | + | 0.430701i | ||||
\(839\) | 12.1886 | + | 5.63903i | 0.420796 | + | 0.194681i | 0.618848 | − | 0.785511i | \(-0.287600\pi\) |
−0.198053 | + | 0.980191i | \(0.563462\pi\) | |||||||
\(840\) | −1.16325 | + | 2.88701i | −0.0401360 | + | 0.0996113i | ||||
\(841\) | 1.15926 | + | 21.3814i | 0.0399746 | + | 0.737288i | ||||
\(842\) | −0.661531 | + | 6.08268i | −0.0227979 | + | 0.209623i | ||||
\(843\) | −2.34442 | + | 13.9618i | −0.0807463 | + | 0.480871i | ||||
\(844\) | −1.91863 | − | 0.764452i | −0.0660420 | − | 0.0263135i | ||||
\(845\) | 6.56475 | + | 10.9107i | 0.225834 | + | 0.375339i | ||||
\(846\) | −0.347400 | − | 7.47711i | −0.0119439 | − | 0.257068i | ||||
\(847\) | 2.20043 | − | 7.92523i | 0.0756076 | − | 0.272314i | ||||
\(848\) | −3.47030 | − | 2.94770i | −0.119170 | − | 0.101224i | ||||
\(849\) | −14.0077 | + | 49.7045i | −0.480744 | + | 1.70586i | ||||
\(850\) | −18.8579 | + | 24.8071i | −0.646820 | + | 0.850878i | ||||
\(851\) | 9.82152 | − | 29.1492i | 0.336677 | − | 0.999223i | ||||
\(852\) | −5.18011 | − | 1.76773i | −0.177468 | − | 0.0605613i | ||||
\(853\) | 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 | ||||
\(855\) | 5.90538 | + | 3.18961i | 0.201960 | + | 0.109082i | ||||
\(856\) | 9.13058 | − | 9.63903i | 0.312077 | − | 0.329455i | ||||
\(857\) | 48.0555 | + | 28.9140i | 1.64154 | + | 0.987685i | 0.968811 | + | 0.247800i | \(0.0797075\pi\) |
0.672734 | + | 0.739885i | \(0.265120\pi\) | |||||||
\(858\) | −27.1428 | − | 0.105002i | −0.926641 | − | 0.00358471i | ||||
\(859\) | 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 | ||||
\(861\) | −3.43966 | − | 12.5771i | −0.117223 | − | 0.428625i | ||||
\(862\) | −0.0496037 | − | 0.124496i | −0.00168951 | − | 0.00424035i | ||||
\(863\) | −19.1351 | + | 22.5276i | −0.651366 | + | 0.766848i | −0.984377 | − | 0.176076i | \(-0.943660\pi\) |
0.333010 | + | 0.942923i | \(0.391936\pi\) | |||||||
\(864\) | −16.6124 | + | 21.3347i | −0.565166 | + | 0.725823i | ||||
\(865\) | 1.28173 | − | 5.82296i | 0.0435802 | − | 0.197987i | ||||
\(866\) | 0.778836 | − | 0.468610i | 0.0264659 | − | 0.0159240i | ||||
\(867\) | 23.9476 | + | 40.1520i | 0.813304 | + | 1.36363i | ||||
\(868\) | −11.8695 | + | 6.29282i | −0.402878 | + | 0.213592i | ||||
\(869\) | −22.9585 | − | 2.49688i | −0.778812 | − | 0.0847009i | ||||
\(870\) | 1.48442 | + | 1.01486i | 0.0503265 | + | 0.0344071i | ||||
\(871\) | 6.68760 | + | 24.0866i | 0.226601 | + | 0.816142i | ||||
\(872\) | −18.5356 | + | 40.0641i | −0.627696 | + | 1.35674i | ||||
\(873\) | −5.19741 | − | 11.4660i | −0.175906 | − | 0.388065i | ||||
\(874\) | −38.8084 | + | 4.22066i | −1.31271 | + | 0.142766i | ||||
\(875\) | −4.93875 | + | 3.34856i | −0.166960 | + | 0.113202i | ||||
\(876\) | −1.91471 | − | 0.429233i | −0.0646922 | − | 0.0145024i | ||||
\(877\) | 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 | ||||
\(879\) | −22.5226 | + | 7.49184i | −0.759668 | + | 0.252694i | ||||
\(880\) | −0.690084 | − | 0.113133i | −0.0232627 | − | 0.00381373i | ||||
\(881\) | −0.313205 | + | 5.77674i | −0.0105522 | + | 0.194623i | 0.988504 | + | 0.151193i | \(0.0483114\pi\) |
−0.999056 | + | 0.0434304i | \(0.986171\pi\) | |||||||
\(882\) | −6.13689 | − | 11.7950i | −0.206640 | − | 0.397159i | ||||
\(883\) | −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 | ||||||||
\(885\) | −5.01954 | − | 1.25913i | −0.168730 | − | 0.0423252i | ||||
\(886\) | −12.5979 | −0.423235 | ||||||||
\(887\) | 5.36118 | − | 5.07838i | 0.180011 | − | 0.170515i | −0.592389 | − | 0.805652i | \(-0.701815\pi\) |
0.772400 | + | 0.635137i | \(0.219056\pi\) | |||||||
\(888\) | −20.4377 | − | 9.55165i | −0.685844 | − | 0.320532i | ||||
\(889\) | 0.536999 | − | 9.90436i | 0.0180104 | − | 0.332182i | ||||
\(890\) | 1.19813 | + | 0.196424i | 0.0401615 | + | 0.00658414i | ||||
\(891\) | −1.49767 | + | 21.4713i | −0.0501738 | + | 0.719316i | ||||
\(892\) | 0.978546 | − | 1.84573i | 0.0327641 | − | 0.0617997i | ||||
\(893\) | 9.58797 | + | 11.2878i | 0.320849 | + | 0.377733i | ||||
\(894\) | 5.35040 | − | 23.8670i | 0.178944 | − | 0.798231i | ||||
\(895\) | −8.18660 | + | 5.55065i | −0.273648 | + | 0.185538i | ||||
\(896\) | 6.29455 | − | 0.684573i | 0.210286 | − | 0.0228700i | ||||
\(897\) | −38.7130 | + | 72.3429i | −1.29259 | + | 2.41546i | ||||
\(898\) | −15.2024 | + | 32.8595i | −0.507311 | + | 1.09654i | ||||
\(899\) | 5.98989 | + | 21.5736i | 0.199774 | + | 0.719521i | ||||
\(900\) | −14.6650 | + | 4.81521i | −0.488834 | + | 0.160507i | ||||
\(901\) | −39.9383 | − | 4.34355i | −1.33054 | − | 0.144705i | ||||
\(902\) | 9.89516 | − | 5.24608i | 0.329473 | − | 0.174675i | ||||
\(903\) | 9.91745 | − | 5.91500i | 0.330032 | − | 0.196839i | ||||
\(904\) | −18.7224 | + | 11.2649i | −0.622699 | + | 0.374665i | ||||
\(905\) | 0.419240 | − | 1.90463i | 0.0139360 | − | 0.0633119i | ||||
\(906\) | 0.886823 | − | 0.668748i | 0.0294627 | − | 0.0222177i | ||||
\(907\) | 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 | ||||
\(909\) | −14.0369 | + | 34.4523i | −0.465574 | + | 1.14271i | ||||
\(910\) | 3.76226 | + | 1.26765i | 0.124718 | + | 0.0420223i | ||||
\(911\) | −4.16090 | − | 12.3491i | −0.137857 | − | 0.409145i | 0.856381 | − | 0.516345i | \(-0.172708\pi\) |
−0.994237 | + | 0.107201i | \(0.965811\pi\) | |||||||
\(912\) | −0.0289699 | + | 7.48866i | −0.000959289 | + | 0.247974i | ||||
\(913\) | 23.3191 | + | 14.0306i | 0.771749 | + | 0.464346i | ||||
\(914\) | 24.2976 | − | 25.6507i | 0.803693 | − | 0.848449i | ||||
\(915\) | −2.04932 | + | 0.327834i | −0.0677486 | + | 0.0108379i | ||||
\(916\) | −8.33611 | + | 13.8547i | −0.275433 | + | 0.457773i | ||||
\(917\) | 17.1142 | − | 13.0099i | 0.565160 | − | 0.429623i | ||||
\(918\) | 2.19478 | − | 33.3219i | 0.0724384 | − | 1.09979i | ||||
\(919\) | −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 | ||||
\(921\) | −14.3286 | − | 4.03808i | −0.472143 | − | 0.133059i | ||||
\(922\) | −6.42628 | − | 5.45853i | −0.211638 | − | 0.179767i | ||||
\(923\) | −5.38796 | + | 19.4057i | −0.177347 | + | 0.638746i | ||||
\(924\) | 5.23495 | − | 4.41186i | 0.172217 | − | 0.145140i | ||||
\(925\) | −10.9770 | − | 18.2440i | −0.360922 | − | 0.599857i | ||||
\(926\) | −21.1015 | − | 8.40759i | −0.693437 | − | 0.276291i | ||||
\(927\) | −3.89130 | − | 4.17218i | −0.127807 | − | 0.137032i | ||||
\(928\) | 1.54976 | − | 14.2498i | 0.0508732 | − | 0.467772i | ||||
\(929\) | −1.04751 | − | 19.3201i | −0.0343676 | − | 0.633873i | −0.964084 | − | 0.265597i | \(-0.914431\pi\) |
0.929717 | − | 0.368276i | \(-0.120052\pi\) | |||||||
\(930\) | −4.92187 | − | 1.98315i | −0.161394 | − | 0.0650300i | ||||
\(931\) | 23.8762 | + | 11.0463i | 0.782511 | + | 0.362028i | ||||
\(932\) | 1.50775 | + | 9.19689i | 0.0493881 | + | 0.301254i | ||||
\(933\) | 9.29085 | + | 5.63919i | 0.304169 | + | 0.184619i | ||||
\(934\) | 10.3898 | + | 15.3239i | 0.339966 | + | 0.501412i | ||||
\(935\) | −5.59973 | + | 2.59071i | −0.183131 | + | 0.0847253i | ||||
\(936\) | 49.5451 | + | 34.1549i | 1.61943 | + | 1.11639i | ||||
\(937\) | 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 | ||||
\(939\) | 6.69982 | − | 6.29741i | 0.218640 | − | 0.205508i | ||||
\(940\) | 1.06130 | + | 0.0575422i | 0.0346159 | + | 0.00187682i | ||||
\(941\) | 7.20867 | − | 1.58675i | 0.234996 | − | 0.0517265i | −0.0959110 | − | 0.995390i | \(-0.530576\pi\) |
0.330907 | + | 0.943663i | \(0.392645\pi\) | |||||||
\(942\) | 13.7610 | − | 1.44275i | 0.448356 | − | 0.0470074i | ||||
\(943\) | − | 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 | \(-0.882772\pi\) |
0.695553 | − | 0.718475i | \(-0.255159\pi\) | |||||||
\(948\) | 13.4825 | + | 11.5422i | 0.437892 | + | 0.374874i | ||||
\(949\) | −1.16809 | + | 7.12504i | −0.0379179 | + | 0.231289i | ||||
\(950\) | −15.1642 | + | 22.3655i | −0.491991 | + | 0.725632i | ||||
\(951\) | −19.2359 | + | 8.80928i | −0.623766 | + | 0.285661i | ||||
\(952\) | −23.3540 | + | 19.8371i | −0.756907 | + | 0.642923i | ||||
\(953\) | −10.9777 | − | 23.7280i | −0.355604 | − | 0.768625i | −0.999992 | − | 0.00392652i | \(-0.998750\pi\) |
0.644389 | − | 0.764698i | \(-0.277112\pi\) | |||||||
\(954\) | 13.3306 | + | 11.5019i | 0.431595 | + | 0.372387i | ||||
\(955\) | 0.760209 | + | 6.99001i | 0.0245998 | + | 0.226191i | ||||
\(956\) | 5.71643 | − | 0.937161i | 0.184883 | − | 0.0303100i | ||||
\(957\) | −5.30534 | − | 10.1012i | −0.171497 | − | 0.326524i | ||||
\(958\) | 30.1242 | − | 8.36393i | 0.973267 | − | 0.270226i | ||||
\(959\) | 24.3935 | − | 1.32258i | 0.787707 | − | 0.0427083i | ||||
\(960\) | 3.18992 | + | 3.04515i | 0.102954 | + | 0.0982819i | ||||
\(961\) | −16.4278 | − | 30.9862i | −0.529931 | − | 0.999555i | ||||
\(962\) | −10.6507 | + | 26.7312i | −0.343392 | + | 0.861848i | ||||
\(963\) | −9.31012 | + | 9.67749i | −0.300014 | + | 0.311853i | ||||
\(964\) | −19.8882 | − | 4.37772i | −0.640556 | − | 0.140997i | ||||
\(965\) | 4.13902 | + | 1.14919i | 0.133240 | + | 0.0369938i | ||||
\(966\) | 3.86699 | + | 17.8974i | 0.124418 | + | 0.575840i | ||||
\(967\) | −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 | ||||
\(969\) | 36.8681 | + | 54.8318i | 1.18437 | + | 1.76145i | ||||
\(970\) | −1.49882 | + | 0.505010i | −0.0481241 | + | 0.0162149i | ||||
\(971\) | −8.98755 | − | 11.8229i | −0.288424 | − | 0.379416i | 0.628947 | − | 0.777448i | \(-0.283486\pi\) |
−0.917371 | + | 0.398033i | \(0.869693\pi\) | |||||||
\(972\) | 10.2633 | − | 12.9724i | 0.329194 | − | 0.416091i | ||||
\(973\) | 6.55856 | + | 6.21260i | 0.210258 | + | 0.199167i | ||||
\(974\) | 11.1197 | + | 10.5331i | 0.356297 | + | 0.337502i | ||||
\(975\) | 20.8178 | + | 52.8423i | 0.666702 | + | 1.69231i | ||||
\(976\) | −1.40137 | − | 1.84347i | −0.0448567 | − | 0.0590079i | ||||
\(977\) | 7.62800 | − | 2.57017i | 0.244041 | − | 0.0822271i | −0.194623 | − | 0.980878i | \(-0.562348\pi\) |
0.438664 | + | 0.898651i | \(0.355452\pi\) | |||||||
\(978\) | −1.17344 | + | 0.789005i | −0.0375226 | + | 0.0252296i | ||||
\(979\) | −6.13292 | − | 4.66213i | −0.196009 | − | 0.149002i | ||||
\(980\) | 1.75388 | − | 0.698812i | 0.0560258 | − | 0.0223227i | ||||
\(981\) | 19.0605 | − | 40.3759i | 0.608555 | − | 1.28910i | ||||
\(982\) | 14.1173 | + | 3.91964i | 0.450500 | + | 0.125081i | ||||
\(983\) | −50.4456 | − | 11.1039i | −1.60897 | − | 0.354160i | −0.682602 | − | 0.730790i | \(-0.739152\pi\) |
−0.926364 | + | 0.376630i | \(0.877083\pi\) | |||||||
\(984\) | −24.6742 | − | 2.78011i | −0.786586 | − | 0.0886265i | ||||
\(985\) | −1.18705 | + | 2.97926i | −0.0378224 | + | 0.0949272i | ||||
\(986\) | 8.29191 | + | 15.6402i | 0.264068 | + | 0.498085i | ||||
\(987\) | 4.79676 | − | 5.02480i | 0.152683 | − | 0.159941i | ||||
\(988\) | −41.2138 | + | 2.23455i | −1.31118 | + | 0.0710904i | ||||
\(989\) | 28.8900 | − | 8.02127i | 0.918649 | − | 0.255062i | ||||
\(990\) | 2.66501 | + | 0.458106i | 0.0846995 | + | 0.0145596i | ||||
\(991\) | −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 | ||||
\(993\) | 3.28087 | + | 0.190615i | 0.104115 | + | 0.00604900i | ||||
\(994\) | 1.88716 | + | 4.07903i | 0.0598571 | + | 0.129379i | ||||
\(995\) | −1.72676 | + | 1.46672i | −0.0547419 | + | 0.0464982i | ||||
\(996\) | −8.70859 | − | 19.0160i | −0.275942 | − | 0.602545i | ||||
\(997\) | 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 | ||||
\(999\) | 20.5960 | + | 9.82049i | 0.651629 | + | 0.310707i |
(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.23.13 | yes | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.23.6 | ✓ | 504 | |
59.18 | odd | 58 | inner | 177.2.f.a.77.6 | yes | 504 | |
177.77 | even | 58 | inner | 177.2.f.a.77.13 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.23.6 | ✓ | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.23.13 | yes | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.77.6 | yes | 504 | 59.18 | odd | 58 | inner | |
177.2.f.a.77.13 | yes | 504 | 177.77 | even | 58 | inner |