Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), 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: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.14 |
$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.668269 | + | 1.99571i | −0.472538 | + | 1.41118i | 0.397229 | + | 0.917720i | \(0.369972\pi\) |
−0.869767 | + | 0.493463i | \(0.835731\pi\) | |||||||
\(3\) | 2.16322 | + | 1.21533i | 1.24893 | + | 0.701669i | 0.966265 | − | 0.257549i | \(-0.0829149\pi\) |
0.282668 | + | 0.959218i | \(0.408781\pi\) | |||||||
\(4\) | −1.93958 | − | 1.46298i | −0.969788 | − | 0.731491i | ||||
\(5\) | −1.46604 | + | 2.21127i | −0.655634 | + | 0.988911i | 0.343134 | + | 0.939286i | \(0.388511\pi\) |
−0.998768 | + | 0.0496250i | \(0.984197\pi\) | |||||||
\(6\) | −3.87105 | + | 3.50500i | −1.58035 | + | 1.43091i | ||||
\(7\) | −1.51734 | + | 3.34825i | −0.573501 | + | 1.26552i | 0.368412 | + | 0.929663i | \(0.379902\pi\) |
−0.941913 | + | 0.335857i | \(0.890974\pi\) | |||||||
\(8\) | 0.745241 | − | 0.511430i | 0.263483 | − | 0.180818i | ||||
\(9\) | 1.64195 | + | 2.69585i | 0.547317 | + | 0.898617i | ||||
\(10\) | −3.43336 | − | 4.40352i | −1.08572 | − | 1.39252i | ||||
\(11\) | 0.635632 | + | 0.0407256i | 0.191650 | + | 0.0122792i | 0.159470 | − | 0.987203i | \(-0.449022\pi\) |
0.0321806 | + | 0.999482i | \(0.489755\pi\) | |||||||
\(12\) | −2.41772 | − | 5.52196i | −0.697937 | − | 1.59405i | ||||
\(13\) | 3.77861 | + | 4.36587i | 1.04800 | + | 1.21087i | 0.976965 | + | 0.213401i | \(0.0684540\pi\) |
0.0710317 | + | 0.997474i | \(0.477371\pi\) | |||||||
\(14\) | −5.66816 | − | 5.26571i | −1.51488 | − | 1.40732i | ||||
\(15\) | −5.85878 | + | 3.00174i | −1.51273 | + | 0.775047i | ||||
\(16\) | −0.812336 | − | 2.84286i | −0.203084 | − | 0.710716i | ||||
\(17\) | 4.47680 | − | 1.97721i | 1.08578 | − | 0.479543i | 0.217729 | − | 0.976009i | \(-0.430135\pi\) |
0.868056 | + | 0.496467i | \(0.165369\pi\) | |||||||
\(18\) | −6.47741 | + | 1.47531i | −1.52674 | + | 0.347735i | ||||
\(19\) | −1.93396 | − | 1.47826i | −0.443682 | − | 0.339135i | 0.361285 | − | 0.932456i | \(-0.382338\pi\) |
−0.804967 | + | 0.593320i | \(0.797817\pi\) | |||||||
\(20\) | 6.07855 | − | 2.14414i | 1.35920 | − | 0.479445i | ||||
\(21\) | −7.35155 | + | 5.39892i | −1.60424 | + | 1.17814i | ||||
\(22\) | −0.506050 | + | 1.24132i | −0.107890 | + | 0.264651i | ||||
\(23\) | 0.282157 | + | 2.66269i | 0.0588337 | + | 0.555209i | 0.984316 | + | 0.176417i | \(0.0564507\pi\) |
−0.925482 | + | 0.378792i | \(0.876340\pi\) | |||||||
\(24\) | 2.23367 | − | 0.200622i | 0.455946 | − | 0.0409519i | ||||
\(25\) | −0.793833 | − | 1.87813i | −0.158767 | − | 0.375626i | ||||
\(26\) | −11.2382 | + | 4.62344i | −2.20398 | + | 0.906731i | ||||
\(27\) | 0.0136640 | + | 0.388120i | 0.00262963 | + | 0.0746938i | ||||
\(28\) | 7.84142 | − | 4.27434i | 1.48189 | − | 0.807775i | ||||
\(29\) | 3.20787 | − | 4.64251i | 0.595686 | − | 0.862093i | −0.402900 | − | 0.915244i | \(-0.631998\pi\) |
0.998586 | + | 0.0531513i | \(0.0169266\pi\) | |||||||
\(30\) | −2.07538 | − | 13.6984i | −0.378910 | − | 2.50098i | ||||
\(31\) | −1.20686 | − | 1.79530i | −0.216759 | − | 0.322445i | 0.705721 | − | 0.708490i | \(-0.250623\pi\) |
−0.922480 | + | 0.386045i | \(0.873841\pi\) | |||||||
\(32\) | 8.02229 | + | 0.359547i | 1.41815 | + | 0.0635595i | ||||
\(33\) | 1.32551 | + | 0.860598i | 0.230742 | + | 0.149811i | ||||
\(34\) | 0.954226 | + | 10.2557i | 0.163648 | + | 1.75884i | ||||
\(35\) | −5.17941 | − | 8.26393i | −0.875480 | − | 1.39686i | ||||
\(36\) | 0.759287 | − | 7.63095i | 0.126548 | − | 1.27183i | ||||
\(37\) | 9.95110 | − | 2.46832i | 1.63595 | − | 0.405789i | 0.688384 | − | 0.725346i | \(-0.258320\pi\) |
0.947567 | + | 0.319557i | \(0.103534\pi\) | |||||||
\(38\) | 4.24259 | − | 2.87177i | 0.688238 | − | 0.465862i | ||||
\(39\) | 2.86798 | + | 14.0366i | 0.459245 | + | 2.24765i | ||||
\(40\) | 0.0383568 | + | 2.39771i | 0.00606474 | + | 0.379111i | ||||
\(41\) | −4.15699 | − | 0.373370i | −0.649213 | − | 0.0583106i | −0.240034 | − | 0.970765i | \(-0.577159\pi\) |
−0.409180 | + | 0.912454i | \(0.634185\pi\) | |||||||
\(42\) | −5.86189 | − | 18.2795i | −0.904509 | − | 2.82059i | ||||
\(43\) | 2.76454 | + | 3.78974i | 0.421588 | + | 0.577930i | 0.965235 | − | 0.261384i | \(-0.0841789\pi\) |
−0.543647 | + | 0.839314i | \(0.682957\pi\) | |||||||
\(44\) | −1.17328 | − | 1.00891i | −0.176878 | − | 0.152098i | ||||
\(45\) | −8.36843 | − | 0.321423i | −1.24749 | − | 0.0479149i | ||||
\(46\) | −5.50252 | − | 1.21629i | −0.811303 | − | 0.179332i | ||||
\(47\) | −0.834942 | − | 2.78650i | −0.121789 | − | 0.406452i | 0.875221 | − | 0.483723i | \(-0.160716\pi\) |
−0.997010 | + | 0.0772702i | \(0.975380\pi\) | |||||||
\(48\) | 1.69775 | − | 7.13698i | 0.245049 | − | 1.03013i | ||||
\(49\) | −4.29373 | − | 4.89738i | −0.613390 | − | 0.699626i | ||||
\(50\) | 4.27870 | − | 0.329167i | 0.605100 | − | 0.0465512i | ||||
\(51\) | 12.0872 | + | 1.16365i | 1.69255 | + | 0.162944i | ||||
\(52\) | −0.941705 | − | 13.9960i | −0.130591 | − | 1.94089i | ||||
\(53\) | 5.11765 | − | 4.69365i | 0.702963 | − | 0.644722i | −0.242613 | − | 0.970123i | \(-0.578004\pi\) |
0.945576 | + | 0.325401i | \(0.105499\pi\) | |||||||
\(54\) | −0.783709 | − | 0.232100i | −0.106649 | − | 0.0315848i | ||||
\(55\) | −1.02192 | + | 1.34585i | −0.137795 | + | 0.181474i | ||||
\(56\) | 0.581610 | + | 3.27127i | 0.0777209 | + | 0.437142i | ||||
\(57\) | −2.38702 | − | 5.54818i | −0.316168 | − | 0.734875i | ||||
\(58\) | 7.12140 | + | 9.50444i | 0.935086 | + | 1.24799i | ||||
\(59\) | −4.82526 | − | 0.371214i | −0.628195 | − | 0.0483280i | −0.241298 | − | 0.970451i | \(-0.577573\pi\) |
−0.386897 | + | 0.922123i | \(0.626453\pi\) | |||||||
\(60\) | 15.7550 | + | 2.74918i | 2.03397 | + | 0.354917i | ||||
\(61\) | −2.42294 | − | 2.05668i | −0.310225 | − | 0.263331i | 0.478485 | − | 0.878095i | \(-0.341186\pi\) |
−0.788711 | + | 0.614764i | \(0.789251\pi\) | |||||||
\(62\) | 4.38941 | − | 1.20881i | 0.557455 | − | 0.153519i | ||||
\(63\) | −11.5178 | + | 1.40714i | −1.45110 | + | 0.177283i | ||||
\(64\) | −3.95182 | + | 10.2523i | −0.493977 | + | 1.28154i | ||||
\(65\) | −15.1937 | + | 1.95498i | −1.88455 | + | 0.242485i | ||||
\(66\) | −2.60331 | + | 2.07023i | −0.320445 | + | 0.254828i | ||||
\(67\) | −10.3601 | + | 8.90875i | −1.26569 | + | 1.08838i | −0.273734 | + | 0.961805i | \(0.588259\pi\) |
−0.991957 | + | 0.126572i | \(0.959603\pi\) | |||||||
\(68\) | −11.5757 | − | 2.71454i | −1.40376 | − | 0.329186i | ||||
\(69\) | −2.62567 | + | 6.10288i | −0.316093 | + | 0.734701i | ||||
\(70\) | 19.9537 | − | 4.81409i | 2.38492 | − | 0.575394i | ||||
\(71\) | −1.12250 | + | 0.916337i | −0.133216 | + | 0.108749i | −0.696648 | − | 0.717413i | \(-0.745326\pi\) |
0.563432 | + | 0.826163i | \(0.309481\pi\) | |||||||
\(72\) | 2.60239 | + | 1.16932i | 0.306695 | + | 0.137805i | ||||
\(73\) | 1.77313 | + | 1.26757i | 0.207529 | + | 0.148357i | 0.680570 | − | 0.732683i | \(-0.261732\pi\) |
−0.473042 | + | 0.881040i | \(0.656844\pi\) | |||||||
\(74\) | −1.72396 | + | 21.5091i | −0.200406 | + | 2.50038i | ||||
\(75\) | 0.565307 | − | 5.02756i | 0.0652760 | − | 0.580533i | ||||
\(76\) | 1.58841 | + | 5.69654i | 0.182203 | + | 0.653438i | ||||
\(77\) | −1.10083 | + | 2.06646i | −0.125451 | + | 0.235495i | ||||
\(78\) | −29.9295 | − | 3.65653i | −3.38885 | − | 0.414020i | ||||
\(79\) | 3.35650 | − | 0.497546i | 0.377635 | − | 0.0559783i | 0.0448822 | − | 0.998992i | \(-0.485709\pi\) |
0.332753 | + | 0.943014i | \(0.392022\pi\) | |||||||
\(80\) | 7.47727 | + | 2.37146i | 0.835984 | + | 0.265137i | ||||
\(81\) | 3.90278 | − | 7.55774i | 0.433642 | − | 0.839749i | ||||
\(82\) | 3.52313 | − | 8.04666i | 0.389065 | − | 0.888605i | ||||
\(83\) | −13.3298 | + | 4.13396i | −1.46314 | + | 0.453761i | −0.922006 | − | 0.387175i | \(-0.873451\pi\) |
−0.541135 | + | 0.840936i | \(0.682005\pi\) | |||||||
\(84\) | 22.1574 | + | 0.283557i | 2.41757 | + | 0.0309387i | ||||
\(85\) | −2.19104 | + | 12.7981i | −0.237651 | + | 1.38815i | ||||
\(86\) | −9.41069 | + | 2.98466i | −1.01478 | + | 0.321844i | ||||
\(87\) | 12.5815 | − | 6.14415i | 1.34888 | − | 0.658722i | ||||
\(88\) | 0.494527 | − | 0.294731i | 0.0527168 | − | 0.0314184i | ||||
\(89\) | −5.67944 | − | 3.73928i | −0.602019 | − | 0.396363i | 0.211942 | − | 0.977282i | \(-0.432021\pi\) |
−0.813961 | + | 0.580919i | \(0.802693\pi\) | |||||||
\(90\) | 6.23383 | − | 16.4862i | 0.657104 | − | 1.73780i | ||||
\(91\) | −20.3515 | + | 6.02720i | −2.13341 | + | 0.631822i | ||||
\(92\) | 3.34820 | − | 5.57728i | 0.349074 | − | 0.581471i | ||||
\(93\) | −0.428832 | − | 5.35035i | −0.0444678 | − | 0.554805i | ||||
\(94\) | 6.11902 | + | 0.195825i | 0.631128 | + | 0.0201978i | ||||
\(95\) | 6.10410 | − | 2.10934i | 0.626267 | − | 0.216413i | ||||
\(96\) | 16.9170 | + | 10.5275i | 1.72658 | + | 1.07446i | ||||
\(97\) | 12.2301 | − | 0.626567i | 1.24178 | − | 0.0636183i | 0.580814 | − | 0.814036i | \(-0.302734\pi\) |
0.660964 | + | 0.750418i | \(0.270148\pi\) | |||||||
\(98\) | 12.6431 | − | 5.29629i | 1.27715 | − | 0.535006i | ||||
\(99\) | 0.933887 | + | 1.78044i | 0.0938591 | + | 0.178941i | ||||
\(100\) | −1.20797 | + | 4.80414i | −0.120797 | + | 0.480414i | ||||
\(101\) | 0.977724 | + | 0.708448i | 0.0972872 | + | 0.0704932i | 0.634333 | − | 0.773060i | \(-0.281275\pi\) |
−0.537046 | + | 0.843553i | \(0.680460\pi\) | |||||||
\(102\) | −10.3999 | + | 23.3450i | −1.02974 | + | 2.31150i | ||||
\(103\) | −2.83073 | − | 1.10154i | −0.278920 | − | 0.108538i | 0.219101 | − | 0.975702i | \(-0.429687\pi\) |
−0.498022 | + | 0.867165i | \(0.665940\pi\) | |||||||
\(104\) | 5.04881 | + | 1.32114i | 0.495077 | + | 0.129548i | ||||
\(105\) | −1.16082 | − | 24.1713i | −0.113284 | − | 2.35888i | ||||
\(106\) | 5.94721 | + | 13.3500i | 0.577644 | + | 1.29667i | ||||
\(107\) | 1.18734 | − | 5.62729i | 0.114784 | − | 0.544010i | −0.882497 | − | 0.470319i | \(-0.844139\pi\) |
0.997281 | − | 0.0736918i | \(-0.0234781\pi\) | |||||||
\(108\) | 0.541311 | − | 0.772779i | 0.0520876 | − | 0.0743607i | ||||
\(109\) | 11.0432 | + | 13.0945i | 1.05775 | + | 1.25423i | 0.966027 | + | 0.258442i | \(0.0832091\pi\) |
0.0917235 | + | 0.995785i | \(0.470762\pi\) | |||||||
\(110\) | −2.00301 | − | 2.93884i | −0.190980 | − | 0.280208i | ||||
\(111\) | 24.5262 | + | 6.75433i | 2.32792 | + | 0.641092i | ||||
\(112\) | 10.7512 | + | 1.59369i | 1.01589 | + | 0.150590i | ||||
\(113\) | 0.908979 | + | 0.443899i | 0.0855095 | + | 0.0417585i | 0.481076 | − | 0.876679i | \(-0.340246\pi\) |
−0.395567 | + | 0.918437i | \(0.629452\pi\) | |||||||
\(114\) | 12.6678 | − | 1.05612i | 1.18644 | − | 0.0989151i | ||||
\(115\) | −6.30158 | − | 3.27969i | −0.587626 | − | 0.305832i | ||||
\(116\) | −13.0138 | + | 4.31145i | −1.20830 | + | 0.400308i | ||||
\(117\) | −5.56545 | + | 17.3551i | −0.514526 | + | 1.60448i | ||||
\(118\) | 3.96541 | − | 9.38176i | 0.365045 | − | 0.863661i | ||||
\(119\) | −0.172661 | + | 17.9896i | −0.0158278 | + | 1.64910i | ||||
\(120\) | −2.83102 | + | 5.23338i | −0.258436 | + | 0.477740i | ||||
\(121\) | −10.5077 | − | 1.35203i | −0.955244 | − | 0.122912i | ||||
\(122\) | 5.72372 | − | 3.46107i | 0.518202 | − | 0.313351i | ||||
\(123\) | −8.53871 | − | 5.85978i | −0.769909 | − | 0.528359i | ||||
\(124\) | −0.285685 | + | 5.24773i | −0.0256553 | + | 0.471260i | ||||
\(125\) | −7.72100 | − | 1.44932i | −0.690588 | − | 0.129631i | ||||
\(126\) | 4.88873 | − | 23.9265i | 0.435523 | − | 2.13155i | ||||
\(127\) | 2.67754 | + | 6.44955i | 0.237593 | + | 0.572305i | 0.996922 | − | 0.0784018i | \(-0.0249817\pi\) |
−0.759329 | + | 0.650707i | \(0.774473\pi\) | |||||||
\(128\) | −5.44356 | − | 4.50213i | −0.481147 | − | 0.397936i | ||||
\(129\) | 1.37452 | + | 11.5578i | 0.121020 | + | 1.01761i | ||||
\(130\) | 6.25192 | − | 31.6288i | 0.548330 | − | 2.77403i | ||||
\(131\) | 5.97727 | + | 3.06245i | 0.522237 | + | 0.267568i | 0.697036 | − | 0.717037i | \(-0.254502\pi\) |
−0.174799 | + | 0.984604i | \(0.555928\pi\) | |||||||
\(132\) | −1.31190 | − | 3.60840i | −0.114186 | − | 0.314071i | ||||
\(133\) | 7.88406 | − | 4.23237i | 0.683634 | − | 0.366993i | ||||
\(134\) | −10.8560 | − | 26.6293i | −0.937812 | − | 2.30042i | ||||
\(135\) | −0.878272 | − | 0.538786i | −0.0755896 | − | 0.0463713i | ||||
\(136\) | 2.32510 | − | 3.76307i | 0.199375 | − | 0.322680i | ||||
\(137\) | 6.51097 | + | 11.5028i | 0.556270 | + | 0.982755i | 0.996396 | + | 0.0848191i | \(0.0270312\pi\) |
−0.440127 | + | 0.897936i | \(0.645067\pi\) | |||||||
\(138\) | −10.4250 | − | 9.31845i | −0.887431 | − | 0.793239i | ||||
\(139\) | 5.05664 | − | 9.64038i | 0.428898 | − | 0.817686i | −0.571097 | − | 0.820883i | \(-0.693482\pi\) |
0.999995 | + | 0.00319652i | \(0.00101748\pi\) | |||||||
\(140\) | −2.04411 | + | 23.6059i | −0.172759 | + | 1.99506i | ||||
\(141\) | 1.58034 | − | 7.04252i | 0.133089 | − | 0.593087i | ||||
\(142\) | −1.07862 | − | 2.85254i | −0.0905154 | − | 0.239380i | ||||
\(143\) | 2.22400 | + | 2.92897i | 0.185980 | + | 0.244933i | ||||
\(144\) | 6.33012 | − | 6.85778i | 0.527510 | − | 0.571482i | ||||
\(145\) | 5.56299 | + | 13.8996i | 0.461981 | + | 1.15430i | ||||
\(146\) | −3.71462 | + | 2.69158i | −0.307424 | + | 0.222756i | ||||
\(147\) | −3.33636 | − | 15.8124i | −0.275178 | − | 1.30418i | ||||
\(148\) | −22.9120 | − | 9.77078i | −1.88336 | − | 0.803154i | ||||
\(149\) | −5.89568 | − | 22.8287i | −0.482993 | − | 1.87020i | −0.492618 | − | 0.870246i | \(-0.663960\pi\) |
0.00962505 | − | 0.999954i | \(-0.496936\pi\) | |||||||
\(150\) | 9.65580 | + | 4.48796i | 0.788393 | + | 0.366440i | ||||
\(151\) | 20.6140 | − | 7.42002i | 1.67755 | − | 0.603833i | 0.685316 | − | 0.728246i | \(-0.259664\pi\) |
0.992230 | + | 0.124414i | \(0.0397050\pi\) | |||||||
\(152\) | −2.19729 | − | 0.112571i | −0.178224 | − | 0.00913071i | ||||
\(153\) | 12.6809 | + | 8.82232i | 1.02519 | + | 0.713242i | ||||
\(154\) | −3.38841 | − | 3.57789i | −0.273046 | − | 0.288315i | ||||
\(155\) | 5.73920 | − | 0.0367219i | 0.460984 | − | 0.00294958i | ||||
\(156\) | 14.9725 | − | 31.4208i | 1.19876 | − | 2.51568i | ||||
\(157\) | 10.1224 | + | 10.9661i | 0.807853 | + | 0.875193i | 0.994228 | − | 0.107285i | \(-0.0342158\pi\) |
−0.186375 | + | 0.982479i | \(0.559674\pi\) | |||||||
\(158\) | −1.25008 | + | 7.03110i | −0.0994513 | + | 0.559364i | ||||
\(159\) | 16.7749 | − | 3.93376i | 1.33034 | − | 0.311968i | ||||
\(160\) | −12.5561 | + | 17.2124i | −0.992644 | + | 1.36076i | ||||
\(161\) | −9.34348 | − | 3.09548i | −0.736369 | − | 0.243958i | ||||
\(162\) | 12.4750 | + | 12.8394i | 0.980127 | + | 1.00876i | ||||
\(163\) | 3.42681 | − | 0.873313i | 0.268408 | − | 0.0684032i | −0.110370 | − | 0.993891i | \(-0.535204\pi\) |
0.378778 | + | 0.925487i | \(0.376344\pi\) | |||||||
\(164\) | 7.51657 | + | 6.80578i | 0.586946 | + | 0.531442i | ||||
\(165\) | −3.84627 | + | 1.66940i | −0.299432 | + | 0.129963i | ||||
\(166\) | 0.657721 | − | 29.3652i | 0.0510490 | − | 2.27918i | ||||
\(167\) | 0.915395 | + | 4.96414i | 0.0708354 | + | 0.384136i | 0.999899 | + | 0.0142163i | \(0.00452533\pi\) |
−0.929064 | + | 0.369920i | \(0.879385\pi\) | |||||||
\(168\) | −2.71751 | + | 7.78330i | −0.209660 | + | 0.600495i | ||||
\(169\) | −2.91792 | + | 20.1283i | −0.224455 | + | 1.54833i | ||||
\(170\) | −24.0771 | − | 12.9253i | −1.84663 | − | 0.991322i | ||||
\(171\) | 0.809683 | − | 7.64090i | 0.0619180 | − | 0.584315i | ||||
\(172\) | 0.182288 | − | 11.3950i | 0.0138993 | − | 0.868857i | ||||
\(173\) | −11.4020 | + | 2.14029i | −0.866879 | + | 0.162723i | −0.599019 | − | 0.800735i | \(-0.704443\pi\) |
−0.267860 | + | 0.963458i | \(0.586316\pi\) | |||||||
\(174\) | 3.85415 | + | 29.2150i | 0.292182 | + | 2.21478i | ||||
\(175\) | 7.49296 | + | 0.191812i | 0.566415 | + | 0.0144997i | ||||
\(176\) | −0.400569 | − | 1.84010i | −0.0301940 | − | 0.138703i | ||||
\(177\) | −9.98692 | − | 6.66727i | −0.750663 | − | 0.501143i | ||||
\(178\) | 11.2579 | − | 8.83569i | 0.843818 | − | 0.662263i | ||||
\(179\) | −20.5580 | − | 9.87706i | −1.53658 | − | 0.738246i | −0.541817 | − | 0.840497i | \(-0.682263\pi\) |
−0.994759 | + | 0.102251i | \(0.967396\pi\) | |||||||
\(180\) | 15.7610 | + | 12.8663i | 1.17475 | + | 0.958996i | ||||
\(181\) | −2.31698 | − | 4.63127i | −0.172220 | − | 0.344239i | 0.791494 | − | 0.611177i | \(-0.209304\pi\) |
−0.963714 | + | 0.266938i | \(0.913988\pi\) | |||||||
\(182\) | 1.57170 | − | 44.6435i | 0.116502 | − | 3.30920i | ||||
\(183\) | −2.74180 | − | 7.39371i | −0.202680 | − | 0.546558i | ||||
\(184\) | 1.57205 | + | 1.84004i | 0.115893 | + | 0.135650i | ||||
\(185\) | −9.13060 | + | 25.6233i | −0.671295 | + | 1.88386i | ||||
\(186\) | 10.9643 | + | 2.71964i | 0.803944 | + | 0.199414i | ||||
\(187\) | 2.92612 | − | 1.07445i | 0.213979 | − | 0.0785719i | ||||
\(188\) | −2.45716 | + | 6.62613i | −0.179207 | + | 0.483260i | ||||
\(189\) | −1.32026 | − | 0.543161i | −0.0960346 | − | 0.0395091i | ||||
\(190\) | 0.130450 | + | 13.5916i | 0.00946386 | + | 0.986041i | ||||
\(191\) | −13.4062 | − | 7.08668i | −0.970038 | − | 0.512774i | −0.0942907 | − | 0.995545i | \(-0.530058\pi\) |
−0.875747 | + | 0.482770i | \(0.839631\pi\) | |||||||
\(192\) | −21.0086 | + | 17.3753i | −1.51616 | + | 1.25395i | ||||
\(193\) | 6.05195 | + | 5.76828i | 0.435629 | + | 0.415210i | 0.875777 | − | 0.482715i | \(-0.160349\pi\) |
−0.440149 | + | 0.897925i | \(0.645074\pi\) | |||||||
\(194\) | −6.92255 | + | 24.8265i | −0.497010 | + | 1.78244i | ||||
\(195\) | −35.2432 | − | 14.2363i | −2.52382 | − | 1.01948i | ||||
\(196\) | 1.16325 | + | 15.7805i | 0.0830890 | + | 1.12718i | ||||
\(197\) | 3.67916 | − | 0.987930i | 0.262129 | − | 0.0703871i | −0.125870 | − | 0.992047i | \(-0.540172\pi\) |
0.387999 | + | 0.921660i | \(0.373166\pi\) | |||||||
\(198\) | −4.17733 | + | 0.673959i | −0.296870 | + | 0.0478962i | ||||
\(199\) | 6.02867 | − | 9.35087i | 0.427361 | − | 0.662865i | −0.558677 | − | 0.829385i | \(-0.688691\pi\) |
0.986038 | + | 0.166520i | \(0.0532530\pi\) | |||||||
\(200\) | −1.55213 | − | 0.993670i | −0.109752 | − | 0.0702630i | ||||
\(201\) | −33.2382 | + | 6.68061i | −2.34444 | + | 0.471214i | ||||
\(202\) | −2.06724 | + | 1.47782i | −0.145451 | + | 0.103979i | ||||
\(203\) | 10.6769 | + | 17.7850i | 0.749368 | + | 1.24826i | ||||
\(204\) | −21.7417 | − | 19.9404i | −1.52223 | − | 1.39611i | ||||
\(205\) | 6.91995 | − | 8.64487i | 0.483310 | − | 0.603784i | ||||
\(206\) | 4.09004 | − | 4.91321i | 0.284967 | − | 0.342320i | ||||
\(207\) | −6.71492 | + | 5.13266i | −0.466719 | + | 0.356745i | ||||
\(208\) | 9.34209 | − | 14.2886i | 0.647757 | − | 0.990737i | ||||
\(209\) | −1.16909 | − | 1.01839i | −0.0808674 | − | 0.0704434i | ||||
\(210\) | 49.0148 | + | 13.8363i | 3.38234 | + | 0.954795i | ||||
\(211\) | 3.71394 | + | 22.5605i | 0.255678 | + | 1.55313i | 0.736577 | + | 0.676353i | \(0.236441\pi\) |
−0.480899 | + | 0.876776i | \(0.659690\pi\) | |||||||
\(212\) | −16.7928 | + | 1.61666i | −1.15333 | + | 0.111033i | ||||
\(213\) | −3.54185 | + | 0.618035i | −0.242684 | + | 0.0423471i | ||||
\(214\) | 10.4370 | + | 6.13013i | 0.713458 | + | 0.419047i | ||||
\(215\) | −12.4331 | + | 0.557231i | −0.847929 | + | 0.0380029i | ||||
\(216\) | 0.208679 | + | 0.282255i | 0.0141988 | + | 0.0192050i | ||||
\(217\) | 7.84232 | − | 1.31680i | 0.532372 | − | 0.0893900i | ||||
\(218\) | −33.5128 | + | 13.2885i | −2.26977 | + | 0.900010i | ||||
\(219\) | 2.29515 | + | 4.89694i | 0.155092 | + | 0.330905i | ||||
\(220\) | 3.95104 | − | 1.11533i | 0.266379 | − | 0.0751956i | ||||
\(221\) | 25.5483 | + | 12.0741i | 1.71856 | + | 0.812190i | ||||
\(222\) | −29.8698 | + | 44.4336i | −2.00473 | + | 2.98219i | ||||
\(223\) | −5.81658 | + | 7.86739i | −0.389507 | + | 0.526839i | −0.954482 | − | 0.298269i | \(-0.903591\pi\) |
0.564974 | + | 0.825108i | \(0.308886\pi\) | |||||||
\(224\) | −13.3764 | + | 26.3151i | −0.893749 | + | 1.75825i | ||||
\(225\) | 3.75972 | − | 5.22385i | 0.250648 | − | 0.348257i | ||||
\(226\) | −1.49334 | + | 1.51742i | −0.0993353 | + | 0.100937i | ||||
\(227\) | −9.87279 | − | 16.6867i | −0.655280 | − | 1.10753i | −0.986466 | − | 0.163967i | \(-0.947571\pi\) |
0.331186 | − | 0.943566i | \(-0.392551\pi\) | |||||||
\(228\) | −3.48709 | + | 14.2533i | −0.230938 | + | 0.943947i | ||||
\(229\) | −5.82366 | + | 26.7522i | −0.384838 | + | 1.76783i | 0.224049 | + | 0.974578i | \(0.428072\pi\) |
−0.608887 | + | 0.793257i | \(0.708384\pi\) | |||||||
\(230\) | 10.7565 | − | 10.3844i | 0.709261 | − | 0.684730i | ||||
\(231\) | −4.89275 | + | 3.13233i | −0.321919 | + | 0.206092i | ||||
\(232\) | 0.0163171 | − | 5.10039i | 0.00107127 | − | 0.334857i | ||||
\(233\) | −16.0517 | + | 9.84711i | −1.05158 | + | 0.645106i | −0.937365 | − | 0.348350i | \(-0.886742\pi\) |
−0.114219 | + | 0.993456i | \(0.536437\pi\) | |||||||
\(234\) | −30.9166 | − | 22.7049i | −2.02108 | − | 1.48427i | ||||
\(235\) | 7.38576 | + | 2.23883i | 0.481794 | + | 0.146045i | ||||
\(236\) | 8.81587 | + | 7.77926i | 0.573864 | + | 0.506386i | ||||
\(237\) | 7.86551 | + | 3.00294i | 0.510920 | + | 0.195062i | ||||
\(238\) | −35.7866 | − | 12.3664i | −2.31970 | − | 0.801598i | ||||
\(239\) | 3.92619 | + | 4.84104i | 0.253964 | + | 0.313141i | 0.887713 | − | 0.460398i | \(-0.152293\pi\) |
−0.633749 | + | 0.773539i | \(0.718485\pi\) | |||||||
\(240\) | 13.2928 | + | 14.2173i | 0.858050 | + | 0.917723i | ||||
\(241\) | 7.96007 | + | 0.0509320i | 0.512753 | + | 0.00328082i | 0.262561 | − | 0.964915i | \(-0.415433\pi\) |
0.250192 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(242\) | 9.72022 | − | 20.0668i | 0.624840 | − | 1.28994i | ||||
\(243\) | 18.6008 | − | 12.2466i | 1.19324 | − | 0.785617i | ||||
\(244\) | 1.69059 | + | 7.53380i | 0.108229 | + | 0.482302i | ||||
\(245\) | 17.1242 | − | 2.31485i | 1.09403 | − | 0.147891i | ||||
\(246\) | 17.4006 | − | 13.1249i | 1.10942 | − | 0.836814i | ||||
\(247\) | −0.853807 | − | 14.0292i | −0.0543265 | − | 0.892656i | ||||
\(248\) | −1.81757 | − | 0.720704i | −0.115416 | − | 0.0457648i | ||||
\(249\) | −33.8595 | − | 7.25745i | −2.14576 | − | 0.459922i | ||||
\(250\) | 8.05214 | − | 14.4404i | 0.509262 | − | 0.913290i | ||||
\(251\) | 7.07709 | − | 23.6188i | 0.446702 | − | 1.49080i | −0.378305 | − | 0.925681i | \(-0.623493\pi\) |
0.825007 | − | 0.565122i | \(-0.191171\pi\) | |||||||
\(252\) | 24.3982 | + | 14.1210i | 1.53694 | + | 0.889542i | ||||
\(253\) | 0.0709082 | + | 1.70398i | 0.00445796 | + | 0.107128i | ||||
\(254\) | −14.6608 | + | 1.03356i | −0.919899 | + | 0.0648514i | ||||
\(255\) | −20.2935 | + | 25.0222i | −1.27083 | + | 1.56695i | ||||
\(256\) | −6.03478 | + | 3.75545i | −0.377173 | + | 0.234716i | ||||
\(257\) | 10.5644 | − | 7.34978i | 0.658987 | − | 0.458467i | −0.193580 | − | 0.981085i | \(-0.562010\pi\) |
0.852567 | + | 0.522618i | \(0.175044\pi\) | |||||||
\(258\) | −23.9847 | − | 4.98060i | −1.49322 | − | 0.310078i | ||||
\(259\) | −6.83467 | + | 37.0641i | −0.424686 | + | 2.30305i | ||||
\(260\) | 32.3295 | + | 18.4363i | 2.00499 | + | 1.14337i | ||||
\(261\) | 17.7827 | + | 1.02515i | 1.10072 | + | 0.0634554i | ||||
\(262\) | −10.1062 | + | 9.88238i | −0.624363 | + | 0.610535i | ||||
\(263\) | 5.26675 | + | 21.5276i | 0.324762 | + | 1.32745i | 0.871603 | + | 0.490212i | \(0.163081\pi\) |
−0.546841 | + | 0.837236i | \(0.684170\pi\) | |||||||
\(264\) | 1.42796 | − | 0.0365544i | 0.0878850 | − | 0.00224977i | ||||
\(265\) | 2.87625 | + | 18.1976i | 0.176687 | + | 1.11787i | ||||
\(266\) | 3.17794 | + | 18.5627i | 0.194852 | + | 1.13815i | ||||
\(267\) | −7.74140 | − | 14.9912i | −0.473766 | − | 0.917449i | ||||
\(268\) | 33.1276 | − | 2.12252i | 2.02359 | − | 0.129653i | ||||
\(269\) | 16.2100 | + | 18.2520i | 0.988342 | + | 1.11285i | 0.993611 | + | 0.112860i | \(0.0360011\pi\) |
−0.00526877 | + | 0.999986i | \(0.501677\pi\) | |||||||
\(270\) | 1.66218 | − | 1.39273i | 0.101157 | − | 0.0847586i | ||||
\(271\) | 18.0776 | − | 0.347043i | 1.09813 | − | 0.0210813i | 0.533026 | − | 0.846099i | \(-0.321055\pi\) |
0.565107 | + | 0.825017i | \(0.308835\pi\) | |||||||
\(272\) | −9.25760 | − | 11.1208i | −0.561324 | − | 0.674297i | ||||
\(273\) | −51.3496 | − | 11.6955i | −3.10782 | − | 0.707845i | ||||
\(274\) | −27.3075 | + | 5.30703i | −1.64971 | + | 0.320609i | ||||
\(275\) | −0.428097 | − | 1.22613i | −0.0258152 | − | 0.0739383i | ||||
\(276\) | 14.0211 | − | 7.99570i | 0.843970 | − | 0.481285i | ||||
\(277\) | −14.8027 | + | 7.34657i | −0.889411 | + | 0.441413i | −0.830608 | − | 0.556857i | \(-0.812007\pi\) |
−0.0588022 | + | 0.998270i | \(0.518728\pi\) | |||||||
\(278\) | 15.8602 | + | 16.5340i | 0.951234 | + | 0.991642i | ||||
\(279\) | 2.85824 | − | 6.20131i | 0.171118 | − | 0.371263i | ||||
\(280\) | −8.08633 | − | 3.50972i | −0.483251 | − | 0.209746i | ||||
\(281\) | −9.79742 | − | 21.6195i | −0.584465 | − | 1.28971i | −0.935492 | − | 0.353347i | \(-0.885043\pi\) |
0.351027 | − | 0.936365i | \(-0.385832\pi\) | |||||||
\(282\) | 12.9988 | + | 7.86021i | 0.774065 | + | 0.468069i | ||||
\(283\) | −15.6872 | − | 12.4750i | −0.932509 | − | 0.741562i | 0.0336702 | − | 0.999433i | \(-0.489280\pi\) |
−0.966179 | + | 0.257871i | \(0.916979\pi\) | |||||||
\(284\) | 3.51775 | − | 0.135113i | 0.208740 | − | 0.00801750i | ||||
\(285\) | 15.7680 | + | 2.85552i | 0.934017 | + | 0.169146i | ||||
\(286\) | −7.33162 | + | 2.48112i | −0.433528 | + | 0.146712i | ||||
\(287\) | 7.55771 | − | 13.3521i | 0.446118 | − | 0.788151i | ||||
\(288\) | 12.2029 | + | 22.2173i | 0.719065 | + | 1.30916i | ||||
\(289\) | 4.68197 | − | 5.13782i | 0.275410 | − | 0.302225i | ||||
\(290\) | −31.4572 | + | 1.81347i | −1.84723 | + | 0.106491i | ||||
\(291\) | 27.2178 | + | 13.5082i | 1.59554 | + | 0.791862i | ||||
\(292\) | −1.58469 | − | 5.05259i | −0.0927368 | − | 0.295680i | ||||
\(293\) | −9.46209 | + | 2.47597i | −0.552781 | + | 0.144648i | −0.518989 | − | 0.854781i | \(-0.673691\pi\) |
−0.0337926 | + | 0.999429i | \(0.510759\pi\) | |||||||
\(294\) | 33.7866 | + | 3.90851i | 1.97047 | + | 0.227949i | ||||
\(295\) | 7.89488 | − | 10.1257i | 0.459658 | − | 0.589543i | ||||
\(296\) | 6.15360 | − | 6.92879i | 0.357671 | − | 0.402727i | ||||
\(297\) | −0.00712117 | + | 0.247258i | −0.000413212 | + | 0.0143474i | ||||
\(298\) | 49.4994 | + | 3.48963i | 2.86743 | + | 0.202149i | ||||
\(299\) | −10.5588 | + | 11.2931i | −0.610631 | + | 0.653097i | ||||
\(300\) | −8.45169 | + | 8.92431i | −0.487958 | + | 0.515245i | ||||
\(301\) | −16.8837 | + | 3.50603i | −0.973163 | + | 0.202084i | ||||
\(302\) | 1.03251 | + | 46.0983i | 0.0594142 | + | 2.65266i | ||||
\(303\) | 1.25403 | + | 2.72078i | 0.0720423 | + | 0.156305i | ||||
\(304\) | −2.63146 | + | 6.69884i | −0.150924 | + | 0.384205i | ||||
\(305\) | 8.10001 | − | 2.34260i | 0.463805 | − | 0.134137i | ||||
\(306\) | −26.0811 | + | 19.4119i | −1.49096 | + | 1.10970i | ||||
\(307\) | 4.54305 | − | 4.49966i | 0.259286 | − | 0.256809i | −0.562248 | − | 0.826968i | \(-0.690064\pi\) |
0.821534 | + | 0.570159i | \(0.193118\pi\) | |||||||
\(308\) | 5.15833 | − | 2.39756i | 0.293923 | − | 0.136614i | ||||
\(309\) | −4.78476 | − | 5.82312i | −0.272196 | − | 0.331266i | ||||
\(310\) | −3.76205 | + | 11.4783i | −0.213670 | + | 0.651926i | ||||
\(311\) | −6.34942 | + | 4.23887i | −0.360042 | + | 0.240364i | −0.722096 | − | 0.691793i | \(-0.756821\pi\) |
0.362054 | + | 0.932157i | \(0.382076\pi\) | |||||||
\(312\) | 9.31606 | + | 8.99385i | 0.527418 | + | 0.509177i | ||||
\(313\) | −12.6800 | − | 2.54858i | −0.716718 | − | 0.144054i | −0.174944 | − | 0.984578i | \(-0.555974\pi\) |
−0.541774 | + | 0.840524i | \(0.682247\pi\) | |||||||
\(314\) | −28.6498 | + | 12.8730i | −1.61680 | + | 0.726466i | ||||
\(315\) | 13.7740 | − | 27.5319i | 0.776075 | − | 1.55125i | ||||
\(316\) | −7.23808 | − | 3.94546i | −0.407174 | − | 0.221950i | ||||
\(317\) | 29.2316 | − | 14.7414i | 1.64181 | − | 0.827961i | 0.643781 | − | 0.765210i | \(-0.277365\pi\) |
0.998029 | − | 0.0627510i | \(-0.0199874\pi\) | |||||||
\(318\) | −3.35949 | + | 36.1067i | −0.188391 | + | 2.02476i | ||||
\(319\) | 2.22809 | − | 2.82028i | 0.124749 | − | 0.157906i | ||||
\(320\) | −16.8772 | − | 23.7689i | −0.943463 | − | 1.32872i | ||||
\(321\) | 9.40746 | − | 10.7300i | 0.525073 | − | 0.598892i | ||||
\(322\) | 12.4216 | − | 16.5783i | 0.692231 | − | 0.923872i | ||||
\(323\) | −11.5808 | − | 2.79402i | −0.644373 | − | 0.155464i | ||||
\(324\) | −18.6266 | + | 8.94911i | −1.03481 | + | 0.497173i | ||||
\(325\) | 5.20009 | − | 10.5625i | 0.288449 | − | 0.585901i | ||||
\(326\) | −0.547146 | + | 7.42253i | −0.0303036 | + | 0.411096i | ||||
\(327\) | 7.97481 | + | 41.7474i | 0.441008 | + | 2.30864i | ||||
\(328\) | −3.28892 | + | 1.84776i | −0.181600 | + | 0.102025i | ||||
\(329\) | 10.5968 | + | 1.43247i | 0.584219 | + | 0.0789747i | ||||
\(330\) | −0.761300 | − | 8.79167i | −0.0419082 | − | 0.483966i | ||||
\(331\) | −2.49915 | − | 1.04691i | −0.137366 | − | 0.0575435i | 0.316619 | − | 0.948553i | \(-0.397452\pi\) |
−0.453985 | + | 0.891009i | \(0.649998\pi\) | |||||||
\(332\) | 31.9022 | + | 11.4832i | 1.75086 | + | 0.630221i | ||||
\(333\) | 22.9935 | + | 22.7738i | 1.26003 | + | 1.24800i | ||||
\(334\) | −10.5187 | − | 1.49051i | −0.575559 | − | 0.0815573i | ||||
\(335\) | −4.51130 | − | 35.9697i | −0.246478 | − | 1.96523i | ||||
\(336\) | 21.3203 | + | 16.5137i | 1.16312 | + | 0.900898i | ||||
\(337\) | 15.7188 | − | 25.0798i | 0.856255 | − | 1.36618i | −0.0732264 | − | 0.997315i | \(-0.523330\pi\) |
0.929481 | − | 0.368869i | \(-0.120255\pi\) | |||||||
\(338\) | −38.2204 | − | 19.2744i | −2.07891 | − | 1.04839i | ||||
\(339\) | 1.42684 | + | 2.06495i | 0.0774951 | + | 0.112153i | ||||
\(340\) | 22.9731 | − | 21.6174i | 1.24589 | − | 1.17237i | ||||
\(341\) | −0.694005 | − | 1.19030i | −0.0375825 | − | 0.0644582i | ||||
\(342\) | 14.7080 | + | 6.72208i | 0.795316 | + | 0.363488i | ||||
\(343\) | −1.71288 | + | 0.519223i | −0.0924870 | + | 0.0280354i | ||||
\(344\) | 3.99843 | + | 1.41040i | 0.215581 | + | 0.0760439i | ||||
\(345\) | −9.64580 | − | 14.7531i | −0.519313 | − | 0.794283i | ||||
\(346\) | 3.34821 | − | 24.1854i | 0.180001 | − | 1.30022i | ||||
\(347\) | 21.3495 | + | 9.42911i | 1.14610 | + | 0.506181i | 0.887958 | − | 0.459926i | \(-0.152124\pi\) |
0.258142 | + | 0.966107i | \(0.416890\pi\) | |||||||
\(348\) | −33.3915 | − | 6.48942i | −1.78997 | − | 0.347869i | ||||
\(349\) | −2.78106 | − | 19.1842i | −0.148867 | − | 1.02691i | −0.920473 | − | 0.390807i | \(-0.872196\pi\) |
0.771606 | − | 0.636101i | \(-0.219454\pi\) | |||||||
\(350\) | −5.39012 | + | 14.8256i | −0.288114 | + | 0.792463i | ||||
\(351\) | −1.64285 | + | 1.52621i | −0.0876890 | + | 0.0814630i | ||||
\(352\) | 5.08458 | + | 0.555252i | 0.271009 | + | 0.0295950i | ||||
\(353\) | −13.0847 | − | 13.1266i | −0.696427 | − | 0.698658i | 0.267878 | − | 0.963453i | \(-0.413677\pi\) |
−0.964305 | + | 0.264795i | \(0.914696\pi\) | |||||||
\(354\) | 19.9799 | − | 15.4755i | 1.06192 | − | 0.822514i | ||||
\(355\) | −0.380644 | − | 3.82553i | −0.0202025 | − | 0.203038i | ||||
\(356\) | 5.54520 | + | 15.5615i | 0.293895 | + | 0.824760i | ||||
\(357\) | −22.2367 | + | 38.7054i | −1.17689 | + | 2.04851i | ||||
\(358\) | 33.4501 | − | 34.4273i | 1.76789 | − | 1.81954i | ||||
\(359\) | −5.26961 | + | 2.74259i | −0.278119 | + | 0.144748i | −0.595021 | − | 0.803710i | \(-0.702856\pi\) |
0.316902 | + | 0.948458i | \(0.397357\pi\) | |||||||
\(360\) | −6.40089 | + | 4.04033i | −0.337356 | + | 0.212944i | ||||
\(361\) | −3.43105 | − | 12.6163i | −0.180582 | − | 0.664017i | ||||
\(362\) | 10.7911 | − | 1.52910i | 0.567165 | − | 0.0803678i | ||||
\(363\) | −21.0872 | − | 15.6950i | −1.10679 | − | 0.823773i | ||||
\(364\) | 48.2909 | + | 18.0836i | 2.53113 | + | 0.947838i | ||||
\(365\) | −5.40241 | + | 2.06256i | −0.282775 | + | 0.107959i | ||||
\(366\) | 16.5880 | − | 0.530860i | 0.867068 | − | 0.0277485i | ||||
\(367\) | −3.52443 | − | 31.3446i | −0.183974 | − | 1.63617i | −0.656123 | − | 0.754654i | \(-0.727805\pi\) |
0.472149 | − | 0.881519i | \(-0.343478\pi\) | |||||||
\(368\) | 7.34046 | − | 2.96513i | 0.382648 | − | 0.154568i | ||||
\(369\) | −5.81903 | − | 11.8197i | −0.302927 | − | 0.615308i | ||||
\(370\) | −45.0350 | − | 35.3453i | −2.34126 | − | 1.83752i | ||||
\(371\) | 7.95028 | + | 24.2570i | 0.412758 | + | 1.25936i | ||||
\(372\) | −6.99570 | + | 11.0048i | −0.362710 | + | 0.570571i | ||||
\(373\) | −0.881380 | + | 21.1802i | −0.0456361 | + | 1.09667i | 0.812406 | + | 0.583092i | \(0.198157\pi\) |
−0.858042 | + | 0.513579i | \(0.828319\pi\) | |||||||
\(374\) | 0.188866 | + | 6.55773i | 0.00976604 | + | 0.339092i | ||||
\(375\) | −14.9408 | − | 12.5187i | −0.771540 | − | 0.646464i | ||||
\(376\) | −2.04733 | − | 1.64960i | −0.105583 | − | 0.0850715i | ||||
\(377\) | 32.3899 | − | 3.53707i | 1.66816 | − | 0.182169i | ||||
\(378\) | 1.96628 | − | 2.27188i | 0.101135 | − | 0.116853i | ||||
\(379\) | −31.8115 | − | 9.86564i | −1.63405 | − | 0.506764i | −0.663601 | − | 0.748086i | \(-0.730973\pi\) |
−0.970445 | + | 0.241322i | \(0.922419\pi\) | |||||||
\(380\) | −14.9253 | − | 4.83896i | −0.765651 | − | 0.248234i | ||||
\(381\) | −2.04622 | + | 17.2059i | −0.104831 | + | 0.881483i | ||||
\(382\) | 23.1019 | − | 22.0191i | 1.18200 | − | 1.12660i | ||||
\(383\) | 3.30714 | + | 6.20812i | 0.168987 | + | 0.317220i | 0.952705 | − | 0.303897i | \(-0.0982880\pi\) |
−0.783718 | + | 0.621117i | \(0.786679\pi\) | |||||||
\(384\) | −6.30404 | − | 16.3548i | −0.321702 | − | 0.834601i | ||||
\(385\) | −2.95564 | − | 5.46375i | −0.150634 | − | 0.278458i | ||||
\(386\) | −15.5562 | + | 8.22319i | −0.791788 | + | 0.418549i | ||||
\(387\) | −5.67733 | + | 13.6753i | −0.288595 | + | 0.695157i | ||||
\(388\) | −24.6379 | − | 16.6771i | −1.25080 | − | 0.846653i | ||||
\(389\) | −11.7592 | − | 4.31790i | −0.596214 | − | 0.218926i | 0.0287413 | − | 0.999587i | \(-0.490850\pi\) |
−0.624955 | + | 0.780661i | \(0.714883\pi\) | |||||||
\(390\) | 51.9635 | − | 60.8218i | 2.63128 | − | 3.07983i | ||||
\(391\) | 6.52784 | + | 11.3625i | 0.330127 | + | 0.574624i | ||||
\(392\) | −5.70454 | − | 1.45379i | −0.288123 | − | 0.0734273i | ||||
\(393\) | 9.20825 | + | 13.8891i | 0.464495 | + | 0.700611i | ||||
\(394\) | −0.487042 | + | 8.00275i | −0.0245368 | + | 0.403173i | ||||
\(395\) | −3.82055 | + | 8.15155i | −0.192233 | + | 0.410149i | ||||
\(396\) | 0.793401 | − | 4.81955i | 0.0398699 | − | 0.242192i | ||||
\(397\) | −0.363179 | + | 5.39770i | −0.0182274 | + | 0.270903i | 0.979393 | + | 0.201962i | \(0.0647318\pi\) |
−0.997621 | + | 0.0689407i | \(0.978038\pi\) | |||||||
\(398\) | 14.6329 | + | 18.2804i | 0.733480 | + | 0.916313i | ||||
\(399\) | 22.1986 | + | 0.426157i | 1.11132 | + | 0.0213345i | ||||
\(400\) | −4.69441 | + | 3.78243i | −0.234720 | + | 0.189122i | ||||
\(401\) | −11.1000 | + | 11.1356i | −0.554309 | + | 0.556085i | −0.928531 | − | 0.371254i | \(-0.878928\pi\) |
0.374222 | + | 0.927339i | \(0.377910\pi\) | |||||||
\(402\) | 8.87950 | − | 70.7985i | 0.442869 | − | 3.53111i | ||||
\(403\) | 3.27778 | − | 12.0527i | 0.163278 | − | 0.600389i | ||||
\(404\) | −0.859924 | − | 2.80448i | −0.0427828 | − | 0.139528i | ||||
\(405\) | 10.9906 | + | 19.7101i | 0.546127 | + | 0.979401i | ||||
\(406\) | −42.6288 | + | 9.42277i | −2.11563 | + | 0.467644i | ||||
\(407\) | 6.42576 | − | 1.16368i | 0.318513 | − | 0.0576813i | ||||
\(408\) | 9.60304 | − | 5.31458i | 0.475421 | − | 0.263111i | ||||
\(409\) | 12.1065 | + | 13.4571i | 0.598626 | + | 0.665412i | 0.964140 | − | 0.265394i | \(-0.0855020\pi\) |
−0.365514 | + | 0.930806i | \(0.619107\pi\) | |||||||
\(410\) | 12.6283 | + | 19.5873i | 0.623667 | + | 0.967350i | ||||
\(411\) | 0.104921 | + | 32.7961i | 0.00517537 | + | 1.61771i | ||||
\(412\) | 3.87890 | + | 6.27782i | 0.191099 | + | 0.309286i | ||||
\(413\) | 8.56448 | − | 15.5929i | 0.421430 | − | 0.767277i | ||||
\(414\) | −5.75594 | − | 16.8311i | −0.282889 | − | 0.827202i | ||||
\(415\) | 10.4008 | − | 35.5365i | 0.510554 | − | 1.74442i | ||||
\(416\) | 28.7433 | + | 36.3829i | 1.40926 | + | 1.78382i | ||||
\(417\) | 22.6548 | − | 14.7088i | 1.10941 | − | 0.720291i | ||||
\(418\) | 2.81368 | − | 1.65260i | 0.137621 | − | 0.0808315i | ||||
\(419\) | 28.5998 | − | 24.2766i | 1.39719 | − | 1.18599i | 0.439480 | − | 0.898252i | \(-0.355163\pi\) |
0.957710 | − | 0.287736i | \(-0.0929026\pi\) | |||||||
\(420\) | −33.1107 | + | 48.5804i | −1.61564 | + | 2.37048i | ||||
\(421\) | −8.63363 | + | 0.886958i | −0.420778 | + | 0.0432277i | −0.310272 | − | 0.950648i | \(-0.600420\pi\) |
−0.110506 | + | 0.993876i | \(0.535247\pi\) | |||||||
\(422\) | −47.5062 | − | 7.66453i | −2.31257 | − | 0.373103i | ||||
\(423\) | 6.14104 | − | 6.82617i | 0.298588 | − | 0.331900i | ||||
\(424\) | 1.41341 | − | 6.11522i | 0.0686414 | − | 0.296981i | ||||
\(425\) | −7.26728 | − | 6.83844i | −0.352515 | − | 0.331713i | ||||
\(426\) | 1.13349 | − | 7.48153i | 0.0549177 | − | 0.362481i | ||||
\(427\) | 10.5627 | − | 4.99191i | 0.511165 | − | 0.241576i | ||||
\(428\) | −10.5355 | + | 9.17750i | −0.509255 | + | 0.443611i | ||||
\(429\) | 1.25133 | + | 9.03888i | 0.0604150 | + | 0.436401i | ||||
\(430\) | 7.19657 | − | 25.1852i | 0.347049 | − | 1.21454i | ||||
\(431\) | 1.60482 | + | 8.11887i | 0.0773014 | + | 0.391072i | 0.999985 | + | 0.00551342i | \(0.00175498\pi\) |
−0.922683 | + | 0.385559i | \(0.874009\pi\) | |||||||
\(432\) | 1.09227 | − | 0.354129i | 0.0525521 | − | 0.0170380i | ||||
\(433\) | −9.43807 | + | 0.120783i | −0.453565 | + | 0.00580446i | −0.239245 | − | 0.970959i | \(-0.576900\pi\) |
−0.214320 | + | 0.976764i | \(0.568753\pi\) | |||||||
\(434\) | −2.61283 | + | 16.5310i | −0.125420 | + | 0.793514i | ||||
\(435\) | −4.85857 | + | 36.8286i | −0.232951 | + | 1.76580i | ||||
\(436\) | −2.26218 | − | 41.5538i | −0.108339 | − | 1.99007i | ||||
\(437\) | 3.39046 | − | 5.56664i | 0.162188 | − | 0.266289i | ||||
\(438\) | −11.3067 | + | 1.30798i | −0.540254 | + | 0.0624978i | ||||
\(439\) | 20.3427 | − | 7.91606i | 0.970906 | − | 0.377813i | 0.175895 | − | 0.984409i | \(-0.443718\pi\) |
0.795010 | + | 0.606596i | \(0.207465\pi\) | |||||||
\(440\) | −0.0732673 | + | 1.52562i | −0.00349288 | + | 0.0727312i | ||||
\(441\) | 6.15250 | − | 19.6165i | 0.292976 | − | 0.934120i | ||||
\(442\) | −41.1695 | + | 42.9184i | −1.95824 | + | 2.04142i | ||||
\(443\) | 2.59838 | + | 6.61463i | 0.123453 | + | 0.314271i | 0.979129 | − | 0.203241i | \(-0.0651476\pi\) |
−0.855676 | + | 0.517512i | \(0.826858\pi\) | |||||||
\(444\) | −37.6890 | − | 48.9819i | −1.78864 | − | 2.32458i | ||||
\(445\) | 16.5949 | − | 7.07685i | 0.786672 | − | 0.335475i | ||||
\(446\) | −11.8140 | − | 16.8658i | −0.559410 | − | 0.798618i | ||||
\(447\) | 14.9907 | − | 56.5486i | 0.709035 | − | 2.67466i | ||||
\(448\) | −28.3311 | − | 28.7880i | −1.33852 | − | 1.36010i | ||||
\(449\) | −12.4480 | + | 1.92669i | −0.587457 | + | 0.0909260i | −0.439774 | − | 0.898109i | \(-0.644941\pi\) |
−0.147683 | + | 0.989035i | \(0.547182\pi\) | |||||||
\(450\) | 7.91281 | + | 10.9943i | 0.373013 | + | 0.518275i | ||||
\(451\) | −2.62711 | − | 0.406622i | −0.123706 | − | 0.0191471i | ||||
\(452\) | −1.11362 | − | 2.19079i | −0.0523802 | − | 0.103046i | ||||
\(453\) | 53.6103 | + | 9.00166i | 2.51883 | + | 0.422935i | ||||
\(454\) | 39.8995 | − | 8.55208i | 1.87258 | − | 0.401369i | ||||
\(455\) | 16.5083 | − | 53.8388i | 0.773921 | − | 2.52400i | ||||
\(456\) | −4.61641 | − | 2.91394i | −0.216183 | − | 0.136458i | ||||
\(457\) | −37.1634 | − | 3.09835i | −1.73843 | − | 0.144935i | −0.828579 | − | 0.559872i | \(-0.810850\pi\) |
−0.909850 | + | 0.414938i | \(0.863803\pi\) | |||||||
\(458\) | −49.4980 | − | 29.5000i | −2.31289 | − | 1.37845i | ||||
\(459\) | 0.828565 | + | 1.71052i | 0.0386741 | + | 0.0798404i | ||||
\(460\) | 7.42428 | + | 15.5803i | 0.346159 | + | 0.726435i | ||||
\(461\) | 8.68771 | − | 21.7070i | 0.404627 | − | 1.01099i | −0.576408 | − | 0.817162i | \(-0.695546\pi\) |
0.981035 | − | 0.193831i | \(-0.0620915\pi\) | |||||||
\(462\) | −2.98156 | − | 11.8578i | −0.138715 | − | 0.551674i | ||||
\(463\) | −30.0448 | + | 26.8559i | −1.39630 | + | 1.24810i | −0.464283 | + | 0.885687i | \(0.653688\pi\) |
−0.932018 | + | 0.362411i | \(0.881954\pi\) | |||||||
\(464\) | −15.8039 | − | 5.34826i | −0.733678 | − | 0.248287i | ||||
\(465\) | 12.4598 | + | 6.89556i | 0.577807 | + | 0.319774i | ||||
\(466\) | −8.92514 | − | 38.6152i | −0.413449 | − | 1.78881i | ||||
\(467\) | −4.55480 | + | 7.81199i | −0.210771 | + | 0.361496i | −0.950150 | − | 0.311794i | \(-0.899070\pi\) |
0.739379 | + | 0.673289i | \(0.235119\pi\) | |||||||
\(468\) | 36.1848 | − | 25.5194i | 1.67264 | − | 1.17963i | ||||
\(469\) | −14.1089 | − | 48.2059i | −0.651487 | − | 2.22594i | ||||
\(470\) | −9.40375 | + | 13.2437i | −0.433763 | + | 0.610888i | ||||
\(471\) | 8.56943 | + | 36.0241i | 0.394859 | + | 1.65990i | ||||
\(472\) | −3.78583 | + | 2.19114i | −0.174257 | + | 0.100855i | ||||
\(473\) | 1.60289 | + | 2.52147i | 0.0737009 | + | 0.115937i | ||||
\(474\) | −11.2493 | + | 13.6905i | −0.516697 | + | 0.628827i | ||||
\(475\) | −1.24111 | + | 4.80572i | −0.0569462 | + | 0.220502i | ||||
\(476\) | 26.6533 | − | 34.6395i | 1.22165 | − | 1.58770i | ||||
\(477\) | 21.0563 | + | 6.08967i | 0.964102 | + | 0.278827i | ||||
\(478\) | −12.2851 | + | 4.60042i | −0.561907 | + | 0.210418i | ||||
\(479\) | 24.6801 | − | 21.7781i | 1.12766 | − | 0.995066i | 0.127668 | − | 0.991817i | \(-0.459251\pi\) |
0.999995 | − | 0.00324918i | \(-0.00103425\pi\) | |||||||
\(480\) | −48.0801 | + | 21.9744i | −2.19455 | + | 1.00299i | ||||
\(481\) | 48.3776 | + | 34.1184i | 2.20583 | + | 1.55567i | ||||
\(482\) | −5.42112 | + | 15.8520i | −0.246925 | + | 0.722038i | ||||
\(483\) | −16.4499 | − | 18.0515i | −0.748498 | − | 0.821374i | ||||
\(484\) | 18.4025 | + | 17.9949i | 0.836476 | + | 0.817950i | ||||
\(485\) | −16.5443 | + | 27.9627i | −0.751239 | + | 1.26972i | ||||
\(486\) | 12.0103 | + | 45.3058i | 0.544798 | + | 2.05511i | ||||
\(487\) | −17.6222 | + | 20.8955i | −0.798537 | + | 0.946865i | −0.999464 | − | 0.0327415i | \(-0.989576\pi\) |
0.200927 | + | 0.979606i | \(0.435605\pi\) | |||||||
\(488\) | −2.85752 | − | 0.293561i | −0.129354 | − | 0.0132889i | ||||
\(489\) | 8.47428 | + | 2.27552i | 0.383220 | + | 0.102903i | ||||
\(490\) | −6.82382 | + | 35.7220i | −0.308269 | + | 1.61376i | ||||
\(491\) | 6.81200 | + | 20.3433i | 0.307421 | + | 0.918081i | 0.983446 | + | 0.181202i | \(0.0579987\pi\) |
−0.676025 | + | 0.736879i | \(0.736299\pi\) | |||||||
\(492\) | 7.98872 | + | 23.8575i | 0.360159 | + | 1.07558i | ||||
\(493\) | 5.18180 | − | 27.1262i | 0.233377 | − | 1.22170i | ||||
\(494\) | 28.5688 | + | 7.67132i | 1.28537 | + | 0.345149i | ||||
\(495\) | −5.30615 | − | 0.545116i | −0.238494 | − | 0.0245011i | ||||
\(496\) | −4.12341 | + | 4.88933i | −0.185147 | + | 0.219537i | ||||
\(497\) | −1.36491 | − | 5.14879i | −0.0612247 | − | 0.230955i | ||||
\(498\) | 37.1110 | − | 62.7238i | 1.66299 | − | 2.81072i | ||||
\(499\) | 3.08787 | + | 3.01948i | 0.138232 | + | 0.135171i | 0.764987 | − | 0.644046i | \(-0.222746\pi\) |
−0.626755 | + | 0.779217i | \(0.715617\pi\) | |||||||
\(500\) | 12.8551 | + | 14.1068i | 0.574900 | + | 0.630873i | ||||
\(501\) | −4.05285 | + | 11.8510i | −0.181068 | + | 0.529464i | ||||
\(502\) | 42.4069 | + | 29.9076i | 1.89271 | + | 1.33484i | ||||
\(503\) | 23.6557 | − | 10.8115i | 1.05475 | − | 0.482061i | 0.188713 | − | 0.982032i | \(-0.439569\pi\) |
0.866042 | + | 0.499971i | \(0.166656\pi\) | |||||||
\(504\) | −7.86387 | + | 6.93920i | −0.350285 | + | 0.309096i | ||||
\(505\) | −2.99996 | + | 1.12340i | −0.133496 | + | 0.0499907i | ||||
\(506\) | −3.44804 | − | 0.997205i | −0.153284 | − | 0.0443312i | ||||
\(507\) | −30.7745 | + | 39.9956i | −1.36674 | + | 1.77627i | ||||
\(508\) | 4.24229 | − | 16.4266i | 0.188221 | − | 0.728812i | ||||
\(509\) | −19.8030 | + | 24.1006i | −0.877755 | + | 1.06824i | 0.119399 | + | 0.992846i | \(0.461903\pi\) |
−0.997154 | + | 0.0753935i | \(0.975979\pi\) | |||||||
\(510\) | −36.3757 | − | 57.2217i | −1.61074 | − | 2.53382i | ||||
\(511\) | −6.93456 | + | 4.01354i | −0.306767 | + | 0.177548i | ||||
\(512\) | −6.73155 | − | 28.2980i | −0.297495 | − | 1.25061i | ||||
\(513\) | 0.547316 | − | 0.770810i | 0.0241646 | − | 0.0340321i | ||||
\(514\) | 7.60822 | + | 25.9951i | 0.335584 | + | 1.14659i | ||||
\(515\) | 6.58577 | − | 4.64463i | 0.290204 | − | 0.204667i | ||||
\(516\) | 14.2429 | − | 24.4282i | 0.627009 | − | 1.07539i | ||||
\(517\) | −0.417234 | − | 1.80519i | −0.0183499 | − | 0.0793921i | ||||
\(518\) | −69.4019 | − | 38.4088i | −3.04934 | − | 1.68759i | ||||
\(519\) | −27.2662 | − | 9.22725i | −1.19685 | − | 0.405031i | ||||
\(520\) | −10.3232 | + | 9.22746i | −0.452700 | + | 0.404651i | ||||
\(521\) | 10.1512 | + | 40.3716i | 0.444730 | + | 1.76871i | 0.620426 | + | 0.784265i | \(0.286960\pi\) |
−0.175695 | + | 0.984445i | \(0.556217\pi\) | |||||||
\(522\) | −13.9295 | + | 34.8041i | −0.609679 | + | 1.52333i | ||||
\(523\) | −8.22722 | − | 17.2653i | −0.359751 | − | 0.754959i | 0.640161 | − | 0.768241i | \(-0.278868\pi\) |
−0.999912 | + | 0.0132821i | \(0.995772\pi\) | |||||||
\(524\) | −7.11306 | − | 14.6845i | −0.310736 | − | 0.641495i | ||||
\(525\) | 15.9758 | + | 9.52132i | 0.697240 | + | 0.415544i | ||||
\(526\) | −46.4825 | − | 3.87529i | −2.02673 | − | 0.168971i | ||||
\(527\) | −8.95256 | − | 5.65098i | −0.389979 | − | 0.246160i | ||||
\(528\) | 1.36980 | − | 4.46735i | 0.0596129 | − | 0.194416i | ||||
\(529\) | 15.4789 | − | 3.31776i | 0.672996 | − | 0.144250i | ||||
\(530\) | −38.2393 | − | 6.42073i | −1.66101 | − | 0.278899i | ||||
\(531\) | −6.92210 | − | 13.6177i | −0.300394 | − | 0.590957i | ||||
\(532\) | −21.4836 | − | 3.32521i | −0.931433 | − | 0.144166i | ||||
\(533\) | −14.0776 | − | 19.5597i | −0.609766 | − | 0.847225i | ||||
\(534\) | 35.0916 | − | 5.43144i | 1.51856 | − | 0.235041i | ||||
\(535\) | 10.7028 | + | 10.8754i | 0.462721 | + | 0.470183i | ||||
\(536\) | −3.16460 | + | 11.9377i | −0.136690 | + | 0.515628i | ||||
\(537\) | −32.4675 | − | 46.3508i | −1.40108 | − | 2.00019i | ||||
\(538\) | −47.2585 | + | 20.1533i | −2.03746 | + | 0.868870i | ||||
\(539\) | −2.52978 | − | 3.28779i | −0.108966 | − | 0.141615i | ||||
\(540\) | 0.915242 | + | 2.32991i | 0.0393858 | + | 0.100263i | ||||
\(541\) | 27.9561 | − | 29.1436i | 1.20193 | − | 1.25298i | 0.242777 | − | 0.970082i | \(-0.421942\pi\) |
0.959149 | − | 0.282900i | \(-0.0912965\pi\) | |||||||
\(542\) | −11.3881 | + | 36.3096i | −0.489160 | + | 1.55963i | ||||
\(543\) | 0.616362 | − | 12.8343i | 0.0264506 | − | 0.550773i | ||||
\(544\) | 36.6251 | − | 14.2521i | 1.57029 | − | 0.611054i | ||||
\(545\) | −45.1454 | + | 5.22252i | −1.93382 | + | 0.223708i | ||||
\(546\) | 57.6563 | − | 94.6634i | 2.46746 | − | 4.05122i | ||||
\(547\) | −1.90281 | − | 34.9525i | −0.0813581 | − | 1.49446i | −0.703016 | − | 0.711174i | \(-0.748164\pi\) |
0.621658 | − | 0.783289i | \(-0.286459\pi\) | |||||||
\(548\) | 4.19993 | − | 31.8361i | 0.179412 | − | 1.35997i | ||||
\(549\) | 1.56616 | − | 9.90885i | 0.0668420 | − | 0.422899i | ||||
\(550\) | 2.73308 | − | 0.0349764i | 0.116539 | − | 0.00149140i | ||||
\(551\) | −13.0667 | + | 4.23640i | −0.556661 | + | 0.180477i | ||||
\(552\) | 1.16444 | + | 5.89097i | 0.0495619 | + | 0.250736i | ||||
\(553\) | −3.42704 | + | 11.9933i | −0.145733 | + | 0.510009i | ||||
\(554\) | −4.76944 | − | 34.4515i | −0.202634 | − | 1.46371i | ||||
\(555\) | −50.8921 | + | 44.3320i | −2.16025 | + | 1.88179i | ||||
\(556\) | −23.9114 | + | 11.3005i | −1.01407 | + | 0.479247i | ||||
\(557\) | −0.610599 | + | 4.03023i | −0.0258719 | + | 0.170766i | −0.997959 | − | 0.0638528i | \(-0.979661\pi\) |
0.972087 | + | 0.234619i | \(0.0753842\pi\) | |||||||
\(558\) | 10.4660 | + | 9.84838i | 0.443060 | + | 0.416915i | ||||
\(559\) | −6.09942 | + | 26.3895i | −0.257978 | + | 1.11616i | ||||
\(560\) | −19.2858 | + | 21.4374i | −0.814974 | + | 0.905897i | ||||
\(561\) | 7.63564 | + | 1.23191i | 0.322377 | + | 0.0520114i | ||||
\(562\) | 49.6937 | − | 5.10517i | 2.09620 | − | 0.215349i | ||||
\(563\) | −3.93955 | + | 5.78016i | −0.166032 | + | 0.243605i | −0.900315 | − | 0.435240i | \(-0.856664\pi\) |
0.734282 | + | 0.678844i | \(0.237519\pi\) | |||||||
\(564\) | −13.3683 | + | 11.3475i | −0.562906 | + | 0.477816i | ||||
\(565\) | −2.31418 | + | 1.35923i | −0.0973583 | + | 0.0571831i | ||||
\(566\) | 35.3798 | − | 22.9706i | 1.48713 | − | 0.965525i | ||||
\(567\) | 19.3833 | + | 24.5351i | 0.814024 | + | 1.03038i | ||||
\(568\) | −0.367889 | + | 1.25697i | −0.0154363 | + | 0.0527413i | ||||
\(569\) | 0.893872 | + | 2.61379i | 0.0374730 | + | 0.109576i | 0.963348 | − | 0.268254i | \(-0.0864466\pi\) |
−0.925875 | + | 0.377829i | \(0.876671\pi\) | |||||||
\(570\) | −16.2361 | + | 29.5602i | −0.680055 | + | 1.23814i | ||||
\(571\) | 19.2281 | + | 31.1198i | 0.804670 | + | 1.30232i | 0.949783 | + | 0.312908i | \(0.101303\pi\) |
−0.145113 | + | 0.989415i | \(0.546355\pi\) | |||||||
\(572\) | −0.0285836 | − | 8.93463i | −0.00119514 | − | 0.373576i | ||||
\(573\) | −20.3878 | − | 31.6229i | −0.851715 | − | 1.32107i | ||||
\(574\) | 21.5964 | + | 24.0059i | 0.901418 | + | 1.00198i | ||||
\(575\) | 4.77689 | − | 2.64366i | 0.199210 | − | 0.110248i | ||||
\(576\) | −34.1274 | + | 6.18033i | −1.42198 | + | 0.257514i | ||||
\(577\) | 35.8666 | − | 7.92804i | 1.49315 | − | 0.330048i | 0.607467 | − | 0.794345i | \(-0.292186\pi\) |
0.885680 | + | 0.464296i | \(0.153693\pi\) | |||||||
\(578\) | 7.12480 | + | 12.7773i | 0.296353 | + | 0.531466i | ||||
\(579\) | 6.08133 | + | 19.8331i | 0.252731 | + | 0.824236i | ||||
\(580\) | 9.54499 | − | 35.0979i | 0.396334 | − | 1.45736i | ||||
\(581\) | 6.38439 | − | 50.9043i | 0.264869 | − | 2.11187i | ||||
\(582\) | −45.1472 | + | 45.2919i | −1.87141 | + | 1.87741i | ||||
\(583\) | 3.44409 | − | 2.77501i | 0.142640 | − | 0.114929i | ||||
\(584\) | 1.96968 | + | 0.0378127i | 0.0815058 | + | 0.00156470i | ||||
\(585\) | −30.2177 | − | 37.7500i | −1.24935 | − | 1.56077i | ||||
\(586\) | 1.38190 | − | 20.5382i | 0.0570856 | − | 0.848427i | ||||
\(587\) | 1.88274 | − | 11.4368i | 0.0777090 | − | 0.472047i | −0.919221 | − | 0.393743i | \(-0.871180\pi\) |
0.996930 | − | 0.0783036i | \(-0.0249504\pi\) | |||||||
\(588\) | −16.6621 | + | 35.5503i | −0.687133 | + | 1.46607i | ||||
\(589\) | −0.319882 | + | 5.25609i | −0.0131805 | + | 0.216573i | ||||
\(590\) | 14.9322 | + | 22.5226i | 0.614748 | + | 0.927243i | ||||
\(591\) | 9.15947 | + | 2.33427i | 0.376770 | + | 0.0960190i | ||||
\(592\) | −15.1007 | − | 26.2845i | −0.620636 | − | 1.08029i | ||||
\(593\) | 30.8664 | − | 36.1282i | 1.26753 | − | 1.48361i | 0.467073 | − | 0.884219i | \(-0.345309\pi\) |
0.800458 | − | 0.599389i | \(-0.204590\pi\) | |||||||
\(594\) | −0.488698 | − | 0.179447i | −0.0200515 | − | 0.00736279i | ||||
\(595\) | −39.5267 | − | 26.7552i | −1.62044 | − | 1.09686i | ||||
\(596\) | −21.9628 | + | 52.9033i | −0.899633 | + | 2.16700i | ||||
\(597\) | 24.4057 | − | 12.9011i | 0.998857 | − | 0.528009i | ||||
\(598\) | −15.4817 | − | 28.6192i | −0.633094 | − | 1.17033i | ||||
\(599\) | −10.5228 | − | 27.2997i | −0.429951 | − | 1.11544i | −0.963036 | − | 0.269374i | \(-0.913183\pi\) |
0.533085 | − | 0.846062i | \(-0.321033\pi\) | |||||||
\(600\) | −2.14996 | − | 4.03586i | −0.0877716 | − | 0.164763i | ||||
\(601\) | 17.7737 | − | 16.9406i | 0.725003 | − | 0.691021i | −0.234690 | − | 0.972070i | \(-0.575407\pi\) |
0.959693 | + | 0.281049i | \(0.0906824\pi\) | |||||||
\(602\) | 4.28585 | − | 36.0381i | 0.174678 | − | 1.46880i | ||||
\(603\) | −41.0275 | − | 13.3016i | −1.67077 | − | 0.541684i | ||||
\(604\) | −50.8378 | − | 15.7662i | −2.06856 | − | 0.641520i | ||||
\(605\) | 18.3944 | − | 21.2532i | 0.747839 | − | 0.864067i | ||||
\(606\) | −6.26793 | + | 0.684477i | −0.254617 | + | 0.0278050i | ||||
\(607\) | −15.2724 | − | 12.3055i | −0.619890 | − | 0.499464i | 0.265625 | − | 0.964077i | \(-0.414422\pi\) |
−0.885514 | + | 0.464612i | \(0.846194\pi\) | |||||||
\(608\) | −14.9833 | − | 12.5544i | −0.607654 | − | 0.509146i | ||||
\(609\) | 1.48175 | + | 51.4487i | 0.0600436 | + | 2.08481i | ||||
\(610\) | −0.737837 | + | 17.7308i | −0.0298741 | + | 0.717899i | ||||
\(611\) | 9.01057 | − | 14.1743i | 0.364529 | − | 0.573432i | ||||
\(612\) | −11.6888 | − | 35.6635i | −0.472491 | − | 1.44161i | ||||
\(613\) | 0.0981954 | + | 0.0770678i | 0.00396608 | + | 0.00311274i | 0.619378 | − | 0.785093i | \(-0.287385\pi\) |
−0.615412 | + | 0.788206i | \(0.711010\pi\) | |||||||
\(614\) | 5.94405 | + | 12.0736i | 0.239882 | + | 0.487252i | ||||
\(615\) | 25.4757 | − | 10.2907i | 1.02728 | − | 0.414962i | ||||
\(616\) | 0.236465 | + | 2.10301i | 0.00952746 | + | 0.0847326i | ||||
\(617\) | 22.5505 | − | 0.721678i | 0.907850 | − | 0.0290537i | 0.425428 | − | 0.904992i | \(-0.360124\pi\) |
0.482422 | + | 0.875939i | \(0.339757\pi\) | |||||||
\(618\) | 14.8188 | − | 5.65760i | 0.596100 | − | 0.227582i | ||||
\(619\) | 15.0756 | + | 5.64540i | 0.605940 | + | 0.226908i | 0.634801 | − | 0.772676i | \(-0.281082\pi\) |
−0.0288609 | + | 0.999583i | \(0.509188\pi\) | |||||||
\(620\) | −11.1853 | − | 8.32512i | −0.449214 | − | 0.334345i | ||||
\(621\) | −1.02959 | + | 0.145894i | −0.0413160 | + | 0.00585451i | ||||
\(622\) | −4.21646 | − | 15.5043i | −0.169065 | − | 0.621667i | ||||
\(623\) | 21.1377 | − | 13.3424i | 0.846864 | − | 0.534552i | ||||
\(624\) | 37.5743 | − | 19.5557i | 1.50417 | − | 0.782854i | ||||
\(625\) | 21.6286 | − | 22.2605i | 0.865144 | − | 0.890419i | ||||
\(626\) | 13.5599 | − | 23.6026i | 0.541963 | − | 0.943349i | ||||
\(627\) | −1.29131 | − | 3.62381i | −0.0515700 | − | 0.144721i | ||||
\(628\) | −3.58984 | − | 36.0785i | −0.143250 | − | 1.43969i | ||||
\(629\) | 39.6688 | − | 30.7256i | 1.58170 | − | 1.22511i | ||||
\(630\) | 45.7410 | + | 45.8876i | 1.82237 | + | 1.82821i | ||||
\(631\) | −15.2914 | − | 1.66987i | −0.608741 | − | 0.0664764i | −0.201026 | − | 0.979586i | \(-0.564428\pi\) |
−0.407714 | + | 0.913109i | \(0.633674\pi\) | |||||||
\(632\) | 2.24694 | − | 2.08741i | 0.0893785 | − | 0.0830325i | ||||
\(633\) | −19.3843 | + | 53.3169i | −0.770457 | + | 2.11916i | ||||
\(634\) | 9.88510 | + | 68.1891i | 0.392587 | + | 2.70814i | ||||
\(635\) | −18.1871 | − | 3.53454i | −0.721733 | − | 0.140264i | ||||
\(636\) | −38.2912 | − | 16.9115i | −1.51834 | − | 0.670586i | ||||
\(637\) | 5.15701 | − | 37.2512i | 0.204328 | − | 1.47594i | ||||
\(638\) | 4.13952 | + | 6.33134i | 0.163885 | + | 0.250660i | ||||
\(639\) | −4.31339 | − | 1.52150i | −0.170635 | − | 0.0601897i | ||||
\(640\) | 17.9359 | − | 5.43689i | 0.708980 | − | 0.214912i | ||||
\(641\) | −3.66099 | − | 1.67321i | −0.144600 | − | 0.0660876i | 0.342064 | − | 0.939677i | \(-0.388874\pi\) |
−0.486664 | + | 0.873589i | \(0.661787\pi\) | |||||||
\(642\) | 15.1274 | + | 25.9451i | 0.597029 | + | 1.02397i | ||||
\(643\) | −26.7552 | + | 25.1764i | −1.05512 | + | 0.992859i | −0.999984 | − | 0.00561965i | \(-0.998211\pi\) |
−0.0551367 | + | 0.998479i | \(0.517559\pi\) | |||||||
\(644\) | 13.5938 | + | 19.6732i | 0.535669 | + | 0.775234i | ||||
\(645\) | −27.5726 | − | 13.9048i | −1.08567 | − | 0.547502i | ||||
\(646\) | 13.3152 | − | 21.2448i | 0.523878 | − | 0.835865i | ||||
\(647\) | 36.5559 | + | 28.3144i | 1.43716 | + | 1.11316i | 0.973912 | + | 0.226926i | \(0.0728676\pi\) |
0.463247 | + | 0.886229i | \(0.346684\pi\) | |||||||
\(648\) | −0.956742 | − | 7.62834i | −0.0375844 | − | 0.299669i | ||||
\(649\) | −3.05197 | − | 0.432467i | −0.119800 | − | 0.0169758i | ||||
\(650\) | 17.6046 | + | 17.4365i | 0.690510 | + | 0.683915i | ||||
\(651\) | 18.5650 | + | 6.68246i | 0.727619 | + | 0.261906i | ||||
\(652\) | −7.92419 | − | 3.31949i | −0.310335 | − | 0.130001i | ||||
\(653\) | 2.59398 | + | 29.9559i | 0.101510 | + | 1.17226i | 0.856365 | + | 0.516371i | \(0.172718\pi\) |
−0.754855 | + | 0.655892i | \(0.772293\pi\) | |||||||
\(654\) | −88.6452 | − | 11.9830i | −3.46630 | − | 0.468574i | ||||
\(655\) | −15.5348 | + | 8.72770i | −0.606996 | + | 0.341019i | ||||
\(656\) | 2.31543 | + | 12.1211i | 0.0904025 | + | 0.473248i | ||||
\(657\) | −0.505780 | + | 6.86136i | −0.0197323 | + | 0.267687i | ||||
\(658\) | −9.94031 | + | 20.1909i | −0.387514 | + | 0.787122i | ||||
\(659\) | −10.9366 | + | 5.25448i | −0.426030 | + | 0.204686i | −0.633808 | − | 0.773490i | \(-0.718509\pi\) |
0.207778 | + | 0.978176i | \(0.433377\pi\) | |||||||
\(660\) | 9.90244 | + | 2.38910i | 0.385452 | + | 0.0929954i | ||||
\(661\) | 10.6460 | − | 14.2085i | 0.414081 | − | 0.552645i | −0.544021 | − | 0.839072i | \(-0.683099\pi\) |
0.958102 | + | 0.286427i | \(0.0924675\pi\) | |||||||
\(662\) | 3.75945 | − | 4.28798i | 0.146115 | − | 0.166657i | ||||
\(663\) | 40.5926 | + | 57.1683i | 1.57648 | + | 2.22023i | ||||
\(664\) | −7.81972 | + | 9.89808i | −0.303464 | + | 0.384120i | ||||
\(665\) | −2.19942 | + | 23.6386i | −0.0852897 | + | 0.916667i | ||||
\(666\) | −60.8159 | + | 30.6693i | −2.35657 | + | 1.18841i | ||||
\(667\) | 13.2667 | + | 7.23164i | 0.513688 | + | 0.280010i | ||||
\(668\) | 5.48696 | − | 10.9675i | 0.212297 | − | 0.424346i | ||||
\(669\) | −22.1440 | + | 9.94981i | −0.856135 | + | 0.384682i | ||||
\(670\) | 74.7999 | + | 15.0342i | 2.88977 | + | 0.580821i | ||||
\(671\) | −1.45634 | − | 1.40597i | −0.0562212 | − | 0.0542768i | ||||
\(672\) | −60.9175 | + | 40.6685i | −2.34994 | + | 1.56882i | ||||
\(673\) | −9.77926 | + | 29.8374i | −0.376963 | + | 1.15015i | 0.568016 | + | 0.823017i | \(0.307711\pi\) |
−0.944979 | + | 0.327131i | \(0.893918\pi\) | |||||||
\(674\) | 39.5478 | + | 48.1302i | 1.52332 | + | 1.85391i | ||||
\(675\) | 0.718093 | − | 0.333765i | 0.0276394 | − | 0.0128466i | ||||
\(676\) | 35.1068 | − | 34.7715i | 1.35026 | − | 1.33737i | ||||
\(677\) | 29.7940 | − | 22.1754i | 1.14508 | − | 0.852268i | 0.154335 | − | 0.988019i | \(-0.450676\pi\) |
0.990743 | + | 0.135750i | \(0.0433445\pi\) | |||||||
\(678\) | −5.07457 | + | 1.46761i | −0.194888 | + | 0.0563632i | ||||
\(679\) | −16.4593 | + | 41.9001i | −0.631651 | + | 1.60798i | ||||
\(680\) | 4.91248 | + | 10.6582i | 0.188385 | + | 0.408725i | ||||
\(681\) | −1.07724 | − | 48.0955i | −0.0412800 | − | 1.84302i | ||||
\(682\) | 2.83928 | − | 0.589596i | 0.108721 | − | 0.0225768i | ||||
\(683\) | −1.98000 | + | 2.09072i | −0.0757626 | + | 0.0799993i | −0.762850 | − | 0.646575i | \(-0.776201\pi\) |
0.687087 | + | 0.726575i | \(0.258889\pi\) | |||||||
\(684\) | −12.7489 | + | 13.6356i | −0.487468 | + | 0.521369i | ||||
\(685\) | −34.9813 | − | 2.46612i | −1.33657 | − | 0.0942257i | ||||
\(686\) | 0.108446 | − | 3.76541i | 0.00414048 | − | 0.143764i | ||||
\(687\) | −45.1105 | + | 50.7931i | −1.72107 | + | 1.93788i | ||||
\(688\) | 8.52799 | − | 10.9377i | 0.325126 | − | 0.416998i | ||||
\(689\) | 39.8294 | + | 4.60756i | 1.51738 | + | 0.175534i | ||||
\(690\) | 35.8891 | − | 9.39119i | 1.36627 | − | 0.357516i | ||||
\(691\) | 8.13228 | + | 25.9288i | 0.309367 | + | 0.986379i | 0.971509 | + | 0.237001i | \(0.0761646\pi\) |
−0.662143 | + | 0.749378i | \(0.730353\pi\) | |||||||
\(692\) | 25.2463 | + | 12.5297i | 0.959719 | + | 0.476307i | ||||
\(693\) | −7.37837 | + | 0.425355i | −0.280281 | + | 0.0161579i | ||||
\(694\) | −33.0850 | + | 36.3063i | −1.25589 | + | 1.37817i | ||||
\(695\) | 13.9043 | + | 25.3148i | 0.527419 | + | 0.960245i | ||||
\(696\) | 6.23393 | − | 11.0134i | 0.236297 | − | 0.417462i | ||||
\(697\) | −19.3483 | + | 6.54773i | −0.732868 | + | 0.248013i | ||||
\(698\) | 40.1447 | + | 7.27003i | 1.51950 | + | 0.275175i | ||||
\(699\) | −46.6908 | + | 1.79335i | −1.76601 | + | 0.0678306i | ||||
\(700\) | −14.2525 | − | 11.3341i | −0.538696 | − | 0.428388i | ||||
\(701\) | −15.3731 | − | 9.29592i | −0.580632 | − | 0.351102i | 0.196438 | − | 0.980516i | \(-0.437063\pi\) |
−0.777070 | + | 0.629414i | \(0.783295\pi\) | |||||||
\(702\) | −1.94801 | − | 4.29858i | −0.0735228 | − | 0.162240i | ||||
\(703\) | −22.8939 | − | 9.93665i | −0.863459 | − | 0.374768i | ||||
\(704\) | −2.92943 | + | 6.35577i | −0.110407 | + | 0.239542i | ||||
\(705\) | 13.2561 | + | 13.8192i | 0.499253 | + | 0.520461i | ||||
\(706\) | 34.9410 | − | 17.3412i | 1.31502 | − | 0.652643i | ||||
\(707\) | −3.85560 | + | 2.19871i | −0.145005 | + | 0.0826909i | ||||
\(708\) | 9.61630 | + | 27.5424i | 0.361403 | + | 1.03511i | ||||
\(709\) | 44.5998 | − | 8.66768i | 1.67498 | − | 0.325522i | 0.737973 | − | 0.674830i | \(-0.235783\pi\) |
0.937008 | + | 0.349308i | \(0.113583\pi\) | |||||||
\(710\) | 7.88904 | + | 1.79683i | 0.296071 | + | 0.0674338i | ||||
\(711\) | 6.85252 | + | 8.23166i | 0.256989 | + | 0.308712i | ||||
\(712\) | −6.14493 | + | 0.117967i | −0.230291 | + | 0.00442100i | ||||
\(713\) | 4.43979 | − | 3.72005i | 0.166272 | − | 0.139317i | ||||
\(714\) | −62.3849 | − | 70.2437i | −2.33470 | − | 2.62880i | ||||
\(715\) | −9.73723 | + | 0.623874i | −0.364152 | + | 0.0233316i | ||||
\(716\) | 25.4238 | + | 49.2332i | 0.950132 | + | 1.83993i | ||||
\(717\) | 2.60974 | + | 15.2438i | 0.0974627 | + | 0.569291i | ||||
\(718\) | −1.95191 | − | 12.3494i | −0.0728445 | − | 0.460876i | ||||
\(719\) | −14.5266 | + | 0.371866i | −0.541750 | + | 0.0138683i | −0.295508 | − | 0.955340i | \(-0.595489\pi\) |
−0.246242 | + | 0.969208i | \(0.579196\pi\) | |||||||
\(720\) | 5.88421 | + | 24.0514i | 0.219292 | + | 0.896343i | ||||
\(721\) | 7.98341 | − | 7.80660i | 0.297318 | − | 0.290733i | ||||
\(722\) | 27.4714 | + | 1.58370i | 1.02238 | + | 0.0589392i | ||||
\(723\) | 17.1574 | + | 9.78425i | 0.638092 | + | 0.363880i | ||||
\(724\) | −2.28149 | + | 12.3724i | −0.0847909 | + | 0.459816i | ||||
\(725\) | −11.2657 | − | 2.33941i | −0.418399 | − | 0.0868837i | ||||
\(726\) | 45.4147 | − | 31.5956i | 1.68550 | − | 1.17262i | ||||
\(727\) | 25.6455 | − | 15.9593i | 0.951139 | − | 0.591896i | 0.0378831 | − | 0.999282i | \(-0.487939\pi\) |
0.913256 | + | 0.407386i | \(0.133560\pi\) | |||||||
\(728\) | −12.0843 | + | 14.9001i | −0.447873 | + | 0.552233i | ||||
\(729\) | 29.6664 | − | 2.09143i | 1.09876 | − | 0.0774604i | ||||
\(730\) | −0.506018 | − | 12.1600i | −0.0187286 | − | 0.450062i | ||||
\(731\) | 19.8694 | + | 11.4999i | 0.734896 | + | 0.425338i | ||||
\(732\) | −5.49892 | + | 18.3519i | −0.203246 | + | 0.678304i | ||||
\(733\) | −0.691835 | + | 1.24071i | −0.0255535 | + | 0.0458266i | −0.885870 | − | 0.463934i | \(-0.846437\pi\) |
0.860316 | + | 0.509761i | \(0.170266\pi\) | |||||||
\(734\) | 64.9100 | + | 13.9129i | 2.39587 | + | 0.513533i | ||||
\(735\) | 39.8567 | + | 15.8040i | 1.47014 | + | 0.582939i | ||||
\(736\) | 1.30618 | + | 21.4623i | 0.0481465 | + | 0.791111i | ||||
\(737\) | −6.94804 | + | 5.24076i | −0.255934 | + | 0.193046i | ||||
\(738\) | 27.4774 | − | 3.71439i | 1.01146 | − | 0.136729i | ||||
\(739\) | −6.14089 | − | 27.3658i | −0.225896 | − | 1.00667i | −0.948839 | − | 0.315760i | \(-0.897741\pi\) |
0.722943 | − | 0.690908i | \(-0.242789\pi\) | |||||||
\(740\) | 55.1958 | − | 36.3404i | 2.02904 | − | 1.33590i | ||||
\(741\) | 15.2031 | − | 31.3858i | 0.558498 | − | 1.15299i | ||||
\(742\) | −53.7230 | − | 0.343744i | −1.97224 | − | 0.0126192i | ||||
\(743\) | 2.82840 | + | 3.02511i | 0.103764 | + | 0.110980i | 0.780227 | − | 0.625496i | \(-0.215103\pi\) |
−0.676463 | + | 0.736476i | \(0.736488\pi\) | |||||||
\(744\) | −3.05591 | − | 3.76798i | −0.112035 | − | 0.138141i | ||||
\(745\) | 59.1238 | + | 20.4309i | 2.16613 | + | 0.748528i | ||||
\(746\) | −41.6807 | − | 15.9131i | −1.52604 | − | 0.582620i | ||||
\(747\) | −33.0315 | − | 29.1475i | −1.20856 | − | 1.06645i | ||||
\(748\) | −7.24734 | − | 2.19687i | −0.264989 | − | 0.0803257i | ||||
\(749\) | 17.0400 | + | 12.5140i | 0.622627 | + | 0.457252i | ||||
\(750\) | 34.9683 | − | 21.4517i | 1.27686 | − | 0.783305i | ||||
\(751\) | 0.00224883 | − | 0.702937i | 8.20609e−5 | − | 0.0256505i | −0.999872 | − | 0.0160242i | \(-0.994899\pi\) |
0.999954 | − | 0.00962636i | \(-0.00306421\pi\) | |||||||
\(752\) | −7.24338 | + | 4.63720i | −0.264139 | + | 0.169101i | ||||
\(753\) | 44.0138 | − | 42.4915i | 1.60395 | − | 1.54848i | ||||
\(754\) | −14.5862 | + | 67.0046i | −0.531197 | + | 2.44017i | ||||
\(755\) | −13.8133 | + | 56.4613i | −0.502719 | + | 2.05484i | ||||
\(756\) | 1.76611 | + | 2.98501i | 0.0642326 | + | 0.108564i | ||||
\(757\) | −11.7332 | + | 11.9224i | −0.426451 | + | 0.433327i | −0.892235 | − | 0.451571i | \(-0.850864\pi\) |
0.465784 | + | 0.884898i | \(0.345772\pi\) | |||||||
\(758\) | 40.9476 | − | 56.8937i | 1.48729 | − | 2.06647i | ||||
\(759\) | −1.91750 | + | 3.77225i | −0.0696009 | + | 0.136924i | ||||
\(760\) | 3.47025 | − | 4.69378i | 0.125879 | − | 0.170261i | ||||
\(761\) | 16.0542 | − | 23.8818i | 0.581964 | − | 0.865715i | −0.417105 | − | 0.908858i | \(-0.636955\pi\) |
0.999069 | + | 0.0431436i | \(0.0137373\pi\) | |||||||
\(762\) | −32.9706 | − | 15.5818i | −1.19440 | − | 0.564469i | ||||
\(763\) | −60.6000 | + | 17.1067i | −2.19387 | + | 0.619303i | ||||
\(764\) | 15.6346 | + | 33.3582i | 0.565641 | + | 1.20686i | ||||
\(765\) | −38.0993 | + | 15.1072i | −1.37748 | + | 0.546200i | ||||
\(766\) | −14.5997 | + | 2.45142i | −0.527508 | + | 0.0885734i | ||||
\(767\) | −16.6121 | − | 22.4691i | −0.599827 | − | 0.811313i | ||||
\(768\) | −17.6186 | + | 0.789640i | −0.635757 | + | 0.0284937i | ||||
\(769\) | 32.2604 | + | 18.9480i | 1.16334 | + | 0.683284i | 0.955533 | − | 0.294886i | \(-0.0952816\pi\) |
0.207808 | + | 0.978170i | \(0.433367\pi\) | |||||||
\(770\) | 12.8792 | − | 2.24736i | 0.464136 | − | 0.0809894i | ||||
\(771\) | 31.7854 | − | 3.06001i | 1.14472 | − | 0.110204i | ||||
\(772\) | −3.29933 | − | 20.0419i | −0.118745 | − | 0.721324i | ||||
\(773\) | 22.8631 | + | 6.45397i | 0.822327 | + | 0.232133i | 0.656793 | − | 0.754071i | \(-0.271912\pi\) |
0.165534 | + | 0.986204i | \(0.447065\pi\) | |||||||
\(774\) | −23.4981 | − | 20.4691i | −0.844622 | − | 0.735748i | ||||
\(775\) | −2.41375 | + | 3.69181i | −0.0867046 | + | 0.132614i | ||||
\(776\) | 8.79393 | − | 6.72178i | 0.315684 | − | 0.241298i | ||||
\(777\) | −59.8298 | + | 71.8712i | −2.14638 | + | 2.57837i | ||||
\(778\) | 16.4756 | − | 20.5824i | 0.590678 | − | 0.737916i | ||||
\(779\) | 7.48754 | + | 6.86719i | 0.268269 | + | 0.246043i | ||||
\(780\) | 47.5295 | + | 79.1725i | 1.70183 | + | 2.83483i | ||||
\(781\) | −0.750813 | + | 0.536738i | −0.0268662 | + | 0.0192060i | ||||
\(782\) | −27.0386 | + | 5.43453i | −0.966897 | + | 0.194338i | ||||
\(783\) | 1.84569 | + | 1.18160i | 0.0659594 | + | 0.0422271i | ||||
\(784\) | −10.4346 | + | 16.1848i | −0.372666 | + | 0.578029i | ||||
\(785\) | −39.0889 | + | 6.30650i | −1.39514 | + | 0.225089i | ||||
\(786\) | −33.8722 | + | 9.09539i | −1.20818 | + | 0.324422i | ||||
\(787\) | 1.64562 | + | 22.3243i | 0.0586599 | + | 0.795775i | 0.943814 | + | 0.330477i | \(0.107210\pi\) |
−0.885154 | + | 0.465298i | \(0.845947\pi\) | |||||||
\(788\) | −8.58133 | − | 3.46637i | −0.305697 | − | 0.123484i | ||||
\(789\) | −14.7699 | + | 52.9696i | −0.525823 | + | 1.88577i | ||||
\(790\) | −13.7150 | − | 13.0722i | −0.487958 | − | 0.465087i | ||||
\(791\) | −2.86551 | + | 2.36994i | −0.101886 | + | 0.0842654i | ||||
\(792\) | 1.60654 | + | 0.849238i | 0.0570859 | + | 0.0301763i | ||||
\(793\) | −0.176117 | − | 18.3496i | −0.00625408 | − | 0.651614i | ||||
\(794\) | −10.5296 | − | 4.33192i | −0.373680 | − | 0.153734i | ||||
\(795\) | −15.8941 | + | 42.8609i | −0.563704 | + | 1.52012i | ||||
\(796\) | −25.3732 | + | 9.31689i | −0.899329 | + | 0.330228i | ||||
\(797\) | −23.3852 | − | 5.80058i | −0.828347 | − | 0.205467i | −0.196445 | − | 0.980515i | \(-0.562940\pi\) |
−0.631903 | + | 0.775048i | \(0.717726\pi\) | |||||||
\(798\) | −15.6852 | + | 44.0173i | −0.555248 | + | 1.55820i | ||||
\(799\) | −9.24735 | − | 10.8237i | −0.327148 | − | 0.382917i | ||||
\(800\) | −5.69308 | − | 15.3523i | −0.201281 | − | 0.542786i | ||||
\(801\) | 0.755180 | − | 21.4506i | 0.0266830 | − | 0.757921i | ||||
\(802\) | −14.8057 | − | 29.5941i | −0.522806 | − | 1.04500i | ||||
\(803\) | 1.07543 | + | 0.877916i | 0.0379512 | + | 0.0309810i | ||||
\(804\) | 74.2417 | + | 35.6694i | 2.61830 | + | 1.25796i | ||||
\(805\) | 20.5429 | − | 16.1229i | 0.724041 | − | 0.568257i | ||||
\(806\) | 21.8633 | + | 14.5960i | 0.770104 | + | 0.514121i | ||||
\(807\) | 12.8836 | + | 59.1835i | 0.453524 | + | 2.08336i | ||||
\(808\) | 1.09096 | + | 0.0279275i | 0.0383799 | + | 0.000982488i | ||||
\(809\) | −3.21432 | − | 24.3650i | −0.113010 | − | 0.856628i | −0.950619 | − | 0.310359i | \(-0.899551\pi\) |
0.837610 | − | 0.546269i | \(-0.183952\pi\) | |||||||
\(810\) | −46.6803 | + | 8.76244i | −1.64018 | + | 0.307881i | ||||
\(811\) | 0.586578 | − | 36.6674i | 0.0205976 | − | 1.28757i | −0.754741 | − | 0.656023i | \(-0.772238\pi\) |
0.775339 | − | 0.631546i | \(-0.217579\pi\) | |||||||
\(812\) | 5.31057 | − | 50.1154i | 0.186365 | − | 1.75871i | ||||
\(813\) | 39.5274 | + | 21.2194i | 1.38629 | + | 0.744197i | ||||
\(814\) | −1.97177 | + | 13.6016i | −0.0691106 | + | 0.476737i | ||||
\(815\) | −3.09270 | + | 8.85792i | −0.108333 | + | 0.310279i | ||||
\(816\) | −6.51079 | − | 35.3077i | −0.227923 | − | 1.23602i | ||||
\(817\) | 0.255694 | − | 11.4159i | 0.00894558 | − | 0.399392i | ||||
\(818\) | −34.9469 | + | 15.1680i | −1.22189 | + | 0.530338i | ||||
\(819\) | −49.6645 | − | 44.9681i | −1.73542 | − | 1.57131i | ||||
\(820\) | −26.0690 | + | 6.64363i | −0.910371 | + | 0.232006i | ||||
\(821\) | 0.818679 | + | 0.842597i | 0.0285721 | + | 0.0294068i | 0.731348 | − | 0.682004i | \(-0.238891\pi\) |
−0.702776 | + | 0.711411i | \(0.748056\pi\) | |||||||
\(822\) | −65.5217 | − | 21.7072i | −2.28533 | − | 0.757127i | ||||
\(823\) | −1.96270 | + | 2.69055i | −0.0684155 | + | 0.0937868i | −0.840733 | − | 0.541450i | \(-0.817876\pi\) |
0.772317 | + | 0.635237i | \(0.219098\pi\) | |||||||
\(824\) | −2.67294 | + | 0.626812i | −0.0931162 | + | 0.0218360i | ||||
\(825\) | 0.564077 | − | 3.17266i | 0.0196387 | − | 0.110458i | ||||
\(826\) | 25.3956 | + | 27.5125i | 0.883626 | + | 0.957282i | ||||
\(827\) | −18.3949 | + | 38.6027i | −0.639652 | + | 1.34235i | 0.283892 | + | 0.958856i | \(0.408374\pi\) |
−0.923544 | + | 0.383492i | \(0.874721\pi\) | |||||||
\(828\) | 20.5331 | − | 0.131380i | 0.713574 | − | 0.00456576i | ||||
\(829\) | 14.7526 | + | 15.5776i | 0.512379 | + | 0.541032i | 0.929985 | − | 0.367597i | \(-0.119819\pi\) |
−0.417606 | + | 0.908628i | \(0.637131\pi\) | |||||||
\(830\) | 63.9702 | + | 44.5049i | 2.22044 | + | 1.54479i | ||||
\(831\) | −40.9500 | − | 2.09793i | −1.42054 | − | 0.0727765i | ||||
\(832\) | −59.6927 | + | 21.4864i | −2.06947 | + | 0.744906i | ||||
\(833\) | −28.9053 | − | 13.4350i | −1.00151 | − | 0.465496i | ||||
\(834\) | 14.2150 | + | 55.0419i | 0.492224 | + | 1.90595i | ||||
\(835\) | −12.3191 | − | 5.25344i | −0.426319 | − | 0.181803i | ||||
\(836\) | 0.777648 | + | 3.68559i | 0.0268955 | + | 0.127469i | ||||
\(837\) | 0.680301 | − | 0.492939i | 0.0235146 | − | 0.0170385i | ||||
\(838\) | 29.3367 | + | 73.3002i | 1.01342 | + | 2.53212i | ||||
\(839\) | −12.1874 | + | 13.2033i | −0.420757 | + | 0.455830i | −0.908950 | − | 0.416906i | \(-0.863115\pi\) |
0.488193 | + | 0.872736i | \(0.337656\pi\) | |||||||
\(840\) | −13.2270 | − | 17.4198i | −0.456376 | − | 0.601040i | ||||
\(841\) | −1.00564 | − | 2.65955i | −0.0346772 | − | 0.0917086i | ||||
\(842\) | 3.99948 | − | 17.8230i | 0.137831 | − | 0.614221i | ||||
\(843\) | 5.08084 | − | 58.6747i | 0.174993 | − | 2.02087i | ||||
\(844\) | 25.8021 | − | 49.1913i | 0.888146 | − | 1.69323i | ||||
\(845\) | −40.2314 | − | 35.9612i | −1.38400 | − | 1.23710i | ||||
\(846\) | 9.51922 | + | 16.8175i | 0.327277 | + | 0.578197i | ||||
\(847\) | 20.4707 | − | 33.1309i | 0.703381 | − | 1.13839i | ||||
\(848\) | −17.5007 | − | 10.7360i | −0.600975 | − | 0.368675i | ||||
\(849\) | −18.7737 | − | 46.0512i | −0.644311 | − | 1.58047i | ||||
\(850\) | 18.5041 | − | 9.93349i | 0.634685 | − | 0.340716i | ||||
\(851\) | 9.38013 | + | 25.8002i | 0.321547 | + | 0.884421i | ||||
\(852\) | 7.77386 | + | 3.98293i | 0.266328 | + | 0.136453i | ||||
\(853\) | −1.17035 | + | 5.92084i | −0.0400719 | + | 0.202726i | −0.995804 | − | 0.0915128i | \(-0.970830\pi\) |
0.955732 | + | 0.294238i | \(0.0950660\pi\) | |||||||
\(854\) | 2.90370 | + | 24.4161i | 0.0993624 | + | 0.835501i | ||||
\(855\) | 15.7091 | + | 12.9923i | 0.537240 | + | 0.444328i | ||||
\(856\) | −1.99311 | − | 4.80093i | −0.0681231 | − | 0.164092i | ||||
\(857\) | 9.34217 | − | 45.7227i | 0.319123 | − | 1.56186i | −0.432110 | − | 0.901821i | \(-0.642231\pi\) |
0.751233 | − | 0.660037i | \(-0.229460\pi\) | |||||||
\(858\) | −18.8752 | − | 3.54310i | −0.644390 | − | 0.120960i | ||||
\(859\) | −1.42772 | + | 26.2257i | −0.0487132 | + | 0.894811i | 0.868321 | + | 0.496003i | \(0.165199\pi\) |
−0.917034 | + | 0.398808i | \(0.869424\pi\) | |||||||
\(860\) | 24.9301 | + | 17.1086i | 0.850110 | + | 0.583397i | ||||
\(861\) | 32.5761 | − | 19.6984i | 1.11019 | − | 0.671321i | ||||
\(862\) | −17.2754 | − | 2.22283i | −0.588402 | − | 0.0757098i | ||||
\(863\) | −11.0299 | + | 20.3896i | −0.375461 | + | 0.694071i | −0.995927 | − | 0.0901625i | \(-0.971261\pi\) |
0.620466 | + | 0.784234i | \(0.286944\pi\) | |||||||
\(864\) | −0.0299311 | + | 3.11853i | −0.00101828 | + | 0.106095i | ||||
\(865\) | 11.9831 | − | 28.3507i | 0.407436 | − | 0.963953i | ||||
\(866\) | 6.06613 | − | 18.9164i | 0.206135 | − | 0.642806i | ||||
\(867\) | 16.3722 | − | 5.42409i | 0.556030 | − | 0.184212i | ||||
\(868\) | −17.1372 | − | 8.91914i | −0.581676 | − | 0.302735i | ||||
\(869\) | 2.15376 | − | 0.179561i | 0.0730612 | − | 0.00609119i | ||||
\(870\) | −70.2526 | − | 34.3078i | −2.38179 | − | 1.16314i | ||||
\(871\) | −78.0413 | − | 11.5684i | −2.64433 | − | 0.391979i | ||||
\(872\) | 14.9268 | + | 4.11073i | 0.505485 | + | 0.139207i | ||||
\(873\) | 21.7704 | + | 31.9417i | 0.736815 | + | 1.08106i | ||||
\(874\) | 8.84369 | + | 10.4864i | 0.299142 | + | 0.354708i | ||||
\(875\) | 16.5681 | − | 23.6527i | 0.560104 | − | 0.799608i | ||||
\(876\) | 2.71252 | − | 12.8558i | 0.0916476 | − | 0.434356i | ||||
\(877\) | 0.466367 | + | 1.04688i | 0.0157481 | + | 0.0353505i | 0.921162 | − | 0.389180i | \(-0.127242\pi\) |
−0.905414 | + | 0.424531i | \(0.860439\pi\) | |||||||
\(878\) | 2.20377 | + | 45.8883i | 0.0743735 | + | 1.54866i | ||||
\(879\) | −23.4777 | − | 6.14346i | −0.791882 | − | 0.207214i | ||||
\(880\) | 4.65621 | + | 1.81189i | 0.156961 | + | 0.0610788i | ||||
\(881\) | 3.17072 | − | 7.11746i | 0.106824 | − | 0.239793i | −0.852144 | − | 0.523308i | \(-0.824698\pi\) |
0.958968 | + | 0.283514i | \(0.0915003\pi\) | |||||||
\(882\) | 35.0374 | + | 25.3878i | 1.17977 | + | 0.854850i | ||||
\(883\) | 9.46363 | − | 37.6372i | 0.318477 | − | 1.26659i | −0.575248 | − | 0.817979i | \(-0.695095\pi\) |
0.893725 | − | 0.448615i | \(-0.148083\pi\) | |||||||
\(884\) | −31.8887 | − | 60.7953i | −1.07253 | − | 2.04477i | ||||
\(885\) | 29.3844 | − | 12.3093i | 0.987746 | − | 0.413773i | ||||
\(886\) | −14.9373 | + | 0.765263i | −0.501829 | + | 0.0257095i | ||||
\(887\) | −4.01866 | − | 2.50082i | −0.134933 | − | 0.0839694i | 0.459213 | − | 0.888326i | \(-0.348131\pi\) |
−0.594147 | + | 0.804357i | \(0.702510\pi\) | |||||||
\(888\) | 21.7323 | − | 7.50983i | 0.729288 | − | 0.252013i | ||||
\(889\) | −25.6575 | − | 0.821108i | −0.860524 | − | 0.0275391i | ||||
\(890\) | 3.03352 | + | 37.8478i | 0.101684 | + | 1.26866i | ||||
\(891\) | 2.78852 | − | 4.64499i | 0.0934190 | − | 0.155613i | ||||
\(892\) | 22.7915 | − | 6.74984i | 0.763117 | − | 0.226001i | ||||
\(893\) | −2.50441 | + | 6.62324i | −0.0838069 | + | 0.221638i | ||||
\(894\) | 102.837 | + | 67.7068i | 3.43938 | + | 2.26445i | ||||
\(895\) | 51.9797 | − | 30.9791i | 1.73749 | − | 1.03552i | ||||
\(896\) | 23.3340 | − | 11.3951i | 0.779534 | − | 0.380685i | ||||
\(897\) | −36.5658 | + | 11.5971i | −1.22090 | + | 0.387214i | ||||
\(898\) | 4.47349 | − | 26.1302i | 0.149282 | − | 0.871975i | ||||
\(899\) | −12.2061 | − | 0.156207i | −0.407098 | − | 0.00520979i | ||||
\(900\) | −14.9347 | + | 4.63166i | −0.497822 | + | 0.154389i | ||||
\(901\) | 13.6304 | − | 31.1312i | 0.454095 | − | 1.03713i | ||||
\(902\) | 2.56712 | − | 4.97123i | 0.0854757 | − | 0.165524i | ||||
\(903\) | −40.7841 | − | 12.9349i | −1.35721 | − | 0.430448i | ||||
\(904\) | 0.904432 | − | 0.134067i | 0.0300809 | − | 0.00445901i | ||||
\(905\) | 13.6378 | + | 1.66614i | 0.453335 | + | 0.0553845i | ||||
\(906\) | −53.7909 | + | 100.975i | −1.78708 | + | 3.35468i | ||||
\(907\) | 3.62202 | + | 12.9897i | 0.120267 | + | 0.431317i | 0.998936 | − | 0.0461147i | \(-0.0146840\pi\) |
−0.878669 | + | 0.477431i | \(0.841568\pi\) | |||||||
\(908\) | −5.26325 | + | 46.8088i | −0.174667 | + | 1.55340i | ||||
\(909\) | −0.304494 | + | 3.79903i | −0.0100994 | + | 0.126006i | ||||
\(910\) | 96.4148 | + | 68.9246i | 3.19612 | + | 2.28483i | ||||
\(911\) | 33.4151 | + | 15.0142i | 1.10709 | + | 0.497443i | 0.879301 | − | 0.476267i | \(-0.158010\pi\) |
0.227792 | + | 0.973710i | \(0.426849\pi\) | |||||||
\(912\) | −13.8337 | + | 11.2930i | −0.458079 | + | 0.373947i | ||||
\(913\) | −8.64123 | + | 2.08481i | −0.285983 | + | 0.0689972i | ||||
\(914\) | 31.0186 | − | 72.0969i | 1.02600 | − | 2.38475i | ||||
\(915\) | 20.3691 | + | 4.77661i | 0.673381 | + | 0.157910i | ||||
\(916\) | 50.4334 | − | 43.3680i | 1.66637 | − | 1.43292i | ||||
\(917\) | −19.3234 | + | 15.3666i | −0.638115 | + | 0.507450i | ||||
\(918\) | −3.96742 | + | 0.510489i | −0.130944 | + | 0.0168486i | ||||
\(919\) | 14.1623 | − | 36.7418i | 0.467172 | − | 1.21200i | −0.475926 | − | 0.879485i | \(-0.657887\pi\) |
0.943098 | − | 0.332514i | \(-0.107897\pi\) | |||||||
\(920\) | −6.37353 | + | 0.778662i | −0.210129 | + | 0.0256717i | ||||
\(921\) | 15.2962 | − | 4.21245i | 0.504026 | − | 0.138805i | ||||
\(922\) | 37.5151 | + | 31.8443i | 1.23550 | + | 1.04874i | ||||
\(923\) | −8.24208 | − | 1.43820i | −0.271291 | − | 0.0473390i | ||||
\(924\) | 14.0724 | + | 1.08261i | 0.462948 | + | 0.0356153i | ||||
\(925\) | −12.5353 | − | 16.7300i | −0.412159 | − | 0.550080i | ||||
\(926\) | −33.5186 | − | 77.9078i | −1.10149 | − | 2.56021i | ||||
\(927\) | −1.67835 | − | 9.43990i | −0.0551243 | − | 0.310047i | ||||
\(928\) | 27.4037 | − | 36.0902i | 0.899569 | − | 1.18472i | ||||
\(929\) | −40.2709 | − | 11.9264i | −1.32124 | − | 0.391294i | −0.454811 | − | 0.890588i | \(-0.650293\pi\) |
−0.866433 | + | 0.499294i | \(0.833593\pi\) | |||||||
\(930\) | −22.0880 | + | 20.2580i | −0.724295 | + | 0.664287i | ||||
\(931\) | 1.06434 | + | 15.8186i | 0.0348823 | + | 0.518434i | ||||
\(932\) | 45.5397 | + | 4.38416i | 1.49170 | + | 0.143608i | ||||
\(933\) | −18.8868 | + | 1.45299i | −0.618325 | + | 0.0475687i | ||||
\(934\) | −12.5467 | − | 14.3106i | −0.410540 | − | 0.468257i | ||||
\(935\) | −1.91390 | + | 8.04565i | −0.0625913 | + | 0.263121i | ||||
\(936\) | 4.72832 | + | 15.7801i | 0.154550 | + | 0.515788i | ||||
\(937\) | −33.3136 | − | 7.36371i | −1.08831 | − | 0.240562i | −0.364944 | − | 0.931029i | \(-0.618912\pi\) |
−0.723364 | + | 0.690467i | \(0.757405\pi\) | |||||||
\(938\) | 105.634 | + | 4.05729i | 3.44906 | + | 0.132475i | ||||
\(939\) | −24.3323 | − | 20.9235i | −0.794054 | − | 0.682813i | ||||
\(940\) | −11.0499 | − | 15.1476i | −0.360407 | − | 0.494061i | ||||
\(941\) | −5.81634 | − | 18.1375i | −0.189607 | − | 0.591265i | −0.999986 | − | 0.00535832i | \(-0.998294\pi\) |
0.810378 | − | 0.585907i | \(-0.199262\pi\) | |||||||
\(942\) | −77.6205 | − | 6.97167i | −2.52901 | − | 0.227149i | ||||
\(943\) | −0.178755 | − | 11.1741i | −0.00582108 | − | 0.363880i | ||||
\(944\) | 2.86442 | + | 14.0191i | 0.0932288 | + | 0.456283i | ||||
\(945\) | 3.13663 | − | 2.12315i | 0.102035 | − | 0.0690662i | ||||
\(946\) | −6.10328 | + | 1.51389i | −0.198435 | + | 0.0492207i | ||||
\(947\) | −3.01000 | + | 30.2510i | −0.0978119 | + | 0.983025i | 0.816318 | + | 0.577603i | \(0.196012\pi\) |
−0.914130 | + | 0.405422i | \(0.867125\pi\) | |||||||
\(948\) | −10.8625 | − | 17.3315i | −0.352798 | − | 0.562901i | ||||
\(949\) | 1.16591 | + | 12.5309i | 0.0378471 | + | 0.406769i | ||||
\(950\) | −8.76145 | − | 5.68842i | −0.284259 | − | 0.184557i | ||||
\(951\) | 81.1499 | + | 3.63701i | 2.63147 | + | 0.117938i | ||||
\(952\) | 9.07172 | + | 13.4949i | 0.294016 | + | 0.437371i | ||||
\(953\) | 6.17385 | + | 40.7502i | 0.199991 | + | 1.32003i | 0.836163 | + | 0.548481i | \(0.184794\pi\) |
−0.636172 | + | 0.771547i | \(0.719483\pi\) | |||||||
\(954\) | −26.2245 | + | 37.9528i | −0.849051 | + | 1.22877i | ||||
\(955\) | 35.3246 | − | 19.2554i | 1.14308 | − | 0.623089i | ||||
\(956\) | −0.532782 | − | 15.1335i | −0.0172314 | − | 0.489453i | ||||
\(957\) | 8.24741 | − | 3.39303i | 0.266601 | − | 0.109681i | ||||
\(958\) | 26.9699 | + | 63.8080i | 0.871357 | + | 2.06154i | ||||
\(959\) | −48.3938 | + | 4.34660i | −1.56272 | + | 0.140359i | ||||
\(960\) | −7.62204 | − | 71.9285i | −0.246000 | − | 2.32148i | ||||
\(961\) | 9.93608 | − | 24.3729i | 0.320519 | − | 0.786222i | ||||
\(962\) | −100.420 | + | 73.7476i | −3.23767 | + | 2.37772i | ||||
\(963\) | 17.1199 | − | 6.03885i | 0.551680 | − | 0.194599i | ||||
\(964\) | −15.3646 | − | 11.7442i | −0.494862 | − | 0.378256i | ||||
\(965\) | −21.6276 | + | 4.92597i | −0.696218 | + | 0.158573i | ||||
\(966\) | 47.0187 | − | 20.7661i | 1.51280 | − | 0.668138i | ||||
\(967\) | −8.12069 | − | 28.4193i | −0.261144 | − | 0.913904i | −0.976567 | − | 0.215212i | \(-0.930956\pi\) |
0.715423 | − | 0.698691i | \(-0.246234\pi\) | |||||||
\(968\) | −8.52223 | + | 4.36636i | −0.273915 | + | 0.140340i | ||||
\(969\) | −21.6561 | − | 20.1185i | −0.695695 | − | 0.646300i | ||||
\(970\) | −44.7494 | − | 51.7043i | −1.43682 | − | 1.66013i | ||||
\(971\) | −2.78504 | − | 6.36089i | −0.0893761 | − | 0.204131i | 0.865652 | − | 0.500646i | \(-0.166904\pi\) |
−0.955028 | + | 0.296516i | \(0.904175\pi\) | |||||||
\(972\) | −53.9941 | − | 3.45946i | −1.73186 | − | 0.110962i | ||||
\(973\) | 24.6058 | + | 31.5586i | 0.788824 | + | 1.01172i | ||||
\(974\) | −29.9250 | − | 49.1326i | −0.958860 | − | 1.57431i | ||||
\(975\) | 24.0858 | − | 16.5291i | 0.771362 | − | 0.529355i | ||||
\(976\) | −3.87863 | + | 8.55880i | −0.124152 | + | 0.273961i | ||||
\(977\) | −2.81678 | + | 2.55042i | −0.0901168 | + | 0.0815950i | −0.715006 | − | 0.699119i | \(-0.753576\pi\) |
0.624889 | + | 0.780714i | \(0.285144\pi\) | |||||||
\(978\) | −10.2044 | + | 15.3916i | −0.326300 | + | 0.492168i | ||||
\(979\) | −3.45775 | − | 2.60810i | −0.110510 | − | 0.0833554i | ||||
\(980\) | −36.6003 | − | 20.5626i | −1.16916 | − | 0.656848i | ||||
\(981\) | −17.1684 | + | 51.2715i | −0.548144 | + | 1.63697i | ||||
\(982\) | −45.1517 | −1.44085 | ||||||||
\(983\) | 27.6901 | − | 14.7057i | 0.883177 | − | 0.469040i | ||||
\(984\) | −9.36027 | −0.298394 | ||||||||
\(985\) | −3.20921 | + | 9.58397i | −0.102254 | + | 0.305371i | ||||
\(986\) | 50.6734 | + | 28.4690i | 1.61377 | + | 0.906638i | ||||
\(987\) | 21.1822 | + | 15.9773i | 0.674237 | + | 0.508563i | ||||
\(988\) | −18.8684 | + | 28.4598i | −0.600284 | + | 0.905426i | ||||
\(989\) | −9.31086 | + | 8.43040i | −0.296068 | + | 0.268071i | ||||
\(990\) | 4.63383 | − | 10.2253i | 0.147273 | − | 0.324980i | ||||
\(991\) | −15.0279 | + | 10.3130i | −0.477376 | + | 0.327604i | −0.780295 | − | 0.625412i | \(-0.784931\pi\) |
0.302919 | + | 0.953016i | \(0.402039\pi\) | |||||||
\(992\) | −9.03631 | − | 14.8363i | −0.286903 | − | 0.471054i | ||||
\(993\) | −4.13387 | − | 5.30198i | −0.131184 | − | 0.168253i | ||||
\(994\) | 11.1877 | + | 0.716804i | 0.354851 | + | 0.0227356i | ||||
\(995\) | 11.8390 | + | 27.0398i | 0.375323 | + | 0.857219i | ||||
\(996\) | 55.0555 | + | 63.6121i | 1.74450 | + | 2.01563i | ||||
\(997\) | −23.5047 | − | 21.8359i | −0.744402 | − | 0.691549i | 0.214044 | − | 0.976824i | \(-0.431337\pi\) |
−0.958446 | + | 0.285275i | \(0.907915\pi\) | |||||||
\(998\) | −8.08955 | + | 4.14468i | −0.256070 | + | 0.131197i | ||||
\(999\) | 1.09398 | + | 3.82850i | 0.0346119 | + | 0.121128i |
(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 | 983.2.c.a.2.14 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.14 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.14 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.14 | yes | 39690 | 983.492 | even | 491 | inner |