Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 223.6 | ||
Character | \(\chi\) | \(=\) | 588.223 |
Dual form | 588.2.x.a.559.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16344 | − | 0.803993i | −0.822677 | − | 0.568509i | ||||
\(3\) | −0.222521 | + | 0.974928i | −0.128473 | + | 0.562875i | ||||
\(4\) | 0.707190 | + | 1.87080i | 0.353595 | + | 0.935399i | ||||
\(5\) | −3.84631 | − | 0.877896i | −1.72012 | − | 0.392607i | −0.755274 | − | 0.655409i | \(-0.772496\pi\) |
−0.964850 | + | 0.262802i | \(0.915353\pi\) | |||||||
\(6\) | 1.04273 | − | 0.955366i | 0.425691 | − | 0.390026i | ||||
\(7\) | −2.22982 | − | 1.42405i | −0.842792 | − | 0.538240i | ||||
\(8\) | 0.681335 | − | 2.74514i | 0.240888 | − | 0.970553i | ||||
\(9\) | −0.900969 | − | 0.433884i | −0.300323 | − | 0.144628i | ||||
\(10\) | 3.76914 | + | 4.11379i | 1.19191 | + | 1.30089i | ||||
\(11\) | −0.211161 | − | 0.438481i | −0.0636676 | − | 0.132207i | 0.866707 | − | 0.498818i | \(-0.166232\pi\) |
−0.930374 | + | 0.366611i | \(0.880518\pi\) | |||||||
\(12\) | −1.98126 | + | 0.273167i | −0.571940 | + | 0.0788566i | ||||
\(13\) | 1.80566 | + | 3.74949i | 0.500800 | + | 1.03992i | 0.986189 | + | 0.165624i | \(0.0529638\pi\) |
−0.485389 | + | 0.874299i | \(0.661322\pi\) | |||||||
\(14\) | 1.44933 | + | 3.44955i | 0.387351 | + | 0.921932i | ||||
\(15\) | 1.71177 | − | 3.55453i | 0.441977 | − | 0.917775i | ||||
\(16\) | −2.99977 | + | 2.64602i | −0.749941 | + | 0.661504i | ||||
\(17\) | 3.87770 | − | 3.09236i | 0.940480 | − | 0.750007i | −0.0278684 | − | 0.999612i | \(-0.508872\pi\) |
0.968348 | + | 0.249604i | \(0.0803005\pi\) | |||||||
\(18\) | 0.699384 | + | 1.22917i | 0.164847 | + | 0.289718i | ||||
\(19\) | −1.26247 | −0.289631 | −0.144815 | − | 0.989459i | \(-0.546259\pi\) | ||||
−0.144815 | + | 0.989459i | \(0.546259\pi\) | |||||||
\(20\) | −1.07771 | − | 7.81651i | −0.240983 | − | 1.74782i | ||||
\(21\) | 1.88453 | − | 1.85703i | 0.411237 | − | 0.405237i | ||||
\(22\) | −0.106862 | + | 0.679919i | −0.0227831 | + | 0.144959i | ||||
\(23\) | −1.01756 | − | 0.811475i | −0.212175 | − | 0.169204i | 0.511636 | − | 0.859203i | \(-0.329040\pi\) |
−0.723811 | + | 0.689998i | \(0.757611\pi\) | |||||||
\(24\) | 2.52470 | + | 1.27510i | 0.515352 | + | 0.260279i | ||||
\(25\) | 9.51858 | + | 4.58391i | 1.90372 | + | 0.916781i | ||||
\(26\) | 0.913788 | − | 5.81405i | 0.179209 | − | 1.14023i | ||||
\(27\) | 0.623490 | − | 0.781831i | 0.119991 | − | 0.150464i | ||||
\(28\) | 1.08720 | − | 5.17861i | 0.205462 | − | 0.978665i | ||||
\(29\) | 3.84838 | + | 4.82572i | 0.714627 | + | 0.896114i | 0.998020 | − | 0.0628897i | \(-0.0200316\pi\) |
−0.283393 | + | 0.959004i | \(0.591460\pi\) | |||||||
\(30\) | −4.84936 | + | 2.75923i | −0.885368 | + | 0.503764i | ||||
\(31\) | −1.46864 | −0.263775 | −0.131887 | − | 0.991265i | \(-0.542104\pi\) | ||||
−0.131887 | + | 0.991265i | \(0.542104\pi\) | |||||||
\(32\) | 5.61743 | − | 0.666694i | 0.993031 | − | 0.117856i | ||||
\(33\) | 0.474475 | − | 0.108296i | 0.0825956 | − | 0.0188519i | ||||
\(34\) | −6.99771 | + | 0.480136i | −1.20010 | + | 0.0823427i | ||||
\(35\) | 7.32641 | + | 7.43489i | 1.23839 | + | 1.25673i | ||||
\(36\) | 0.174553 | − | 1.99237i | 0.0290921 | − | 0.332061i | ||||
\(37\) | 5.94597 | + | 7.45601i | 0.977511 | + | 1.22576i | 0.974182 | + | 0.225765i | \(0.0724883\pi\) |
0.00332925 | + | 0.999994i | \(0.498940\pi\) | |||||||
\(38\) | 1.46881 | + | 1.01502i | 0.238272 | + | 0.164658i | ||||
\(39\) | −4.05728 | + | 0.926049i | −0.649685 | + | 0.148286i | ||||
\(40\) | −5.03057 | + | 9.96052i | −0.795403 | + | 1.57490i | ||||
\(41\) | −0.785690 | − | 0.179329i | −0.122704 | − | 0.0280064i | 0.160728 | − | 0.986999i | \(-0.448616\pi\) |
−0.283432 | + | 0.958992i | \(0.591473\pi\) | |||||||
\(42\) | −3.68557 | + | 0.645398i | −0.568697 | + | 0.0995871i | ||||
\(43\) | 9.95871 | − | 2.27301i | 1.51869 | − | 0.346631i | 0.619783 | − | 0.784773i | \(-0.287221\pi\) |
0.898906 | + | 0.438142i | \(0.144363\pi\) | |||||||
\(44\) | 0.670978 | − | 0.705130i | 0.101154 | − | 0.106302i | ||||
\(45\) | 3.08450 | + | 2.45981i | 0.459811 | + | 0.366687i | ||||
\(46\) | 0.531448 | + | 1.76221i | 0.0783577 | + | 0.259824i | ||||
\(47\) | −7.29098 | + | 3.51115i | −1.06350 | + | 0.512154i | −0.882006 | − | 0.471238i | \(-0.843807\pi\) |
−0.181493 | + | 0.983392i | \(0.558093\pi\) | |||||||
\(48\) | −1.91217 | − | 3.51335i | −0.275997 | − | 0.507108i | ||||
\(49\) | 2.94417 | + | 6.35074i | 0.420595 | + | 0.907248i | ||||
\(50\) | −7.38887 | − | 12.9860i | −1.04494 | − | 1.83649i | ||||
\(51\) | 2.15196 | + | 4.46859i | 0.301335 | + | 0.625728i | ||||
\(52\) | −5.73760 | + | 6.02963i | −0.795662 | + | 0.836159i | ||||
\(53\) | 4.02092 | − | 5.04208i | 0.552316 | − | 0.692583i | −0.424800 | − | 0.905287i | \(-0.639656\pi\) |
0.977117 | + | 0.212704i | \(0.0682272\pi\) | |||||||
\(54\) | −1.35398 | + | 0.408333i | −0.184253 | + | 0.0555671i | ||||
\(55\) | 0.427252 | + | 1.87191i | 0.0576107 | + | 0.252409i | ||||
\(56\) | −5.42846 | + | 5.15090i | −0.725409 | + | 0.688318i | ||||
\(57\) | 0.280926 | − | 1.23082i | 0.0372096 | − | 0.163026i | ||||
\(58\) | −0.597521 | − | 8.70852i | −0.0784583 | − | 1.14348i | ||||
\(59\) | 0.246939 | + | 1.08191i | 0.0321487 | + | 0.140853i | 0.988455 | − | 0.151513i | \(-0.0484146\pi\) |
−0.956307 | + | 0.292366i | \(0.905557\pi\) | |||||||
\(60\) | 7.86035 | + | 0.688650i | 1.01477 | + | 0.0889043i | ||||
\(61\) | 4.52728 | − | 3.61038i | 0.579659 | − | 0.462262i | −0.289237 | − | 0.957257i | \(-0.593402\pi\) |
0.868896 | + | 0.494995i | \(0.164830\pi\) | |||||||
\(62\) | 1.70867 | + | 1.18077i | 0.217002 | + | 0.149958i | ||||
\(63\) | 1.39112 | + | 2.25051i | 0.175265 | + | 0.283537i | ||||
\(64\) | −7.07157 | − | 3.74072i | −0.883946 | − | 0.467590i | ||||
\(65\) | −3.65347 | − | 16.0069i | −0.453158 | − | 1.98541i | ||||
\(66\) | −0.639093 | − | 0.255479i | −0.0786670 | − | 0.0314473i | ||||
\(67\) | 5.76579i | 0.704404i | 0.935924 | + | 0.352202i | \(0.114567\pi\) | ||||
−0.935924 | + | 0.352202i | \(0.885433\pi\) | |||||||
\(68\) | 8.52745 | + | 5.06750i | 1.03410 | + | 0.614525i | ||||
\(69\) | 1.01756 | − | 0.811475i | 0.122500 | − | 0.0976901i | ||||
\(70\) | −2.54624 | − | 14.5404i | −0.304334 | − | 1.73791i | ||||
\(71\) | 3.14148 | + | 2.50524i | 0.372825 | + | 0.297318i | 0.791920 | − | 0.610624i | \(-0.209081\pi\) |
−0.419096 | + | 0.907942i | \(0.637653\pi\) | |||||||
\(72\) | −1.80493 | + | 2.17766i | −0.212713 | + | 0.256640i | ||||
\(73\) | 6.35632 | − | 13.1990i | 0.743952 | − | 1.54483i | −0.0918335 | − | 0.995774i | \(-0.529273\pi\) |
0.835785 | − | 0.549057i | \(-0.185013\pi\) | |||||||
\(74\) | −0.923202 | − | 13.4551i | −0.107320 | − | 1.56413i | ||||
\(75\) | −6.58706 | + | 8.25991i | −0.760608 | + | 0.953772i | ||||
\(76\) | −0.892806 | − | 2.36183i | −0.102412 | − | 0.270920i | ||||
\(77\) | −0.153568 | + | 1.27844i | −0.0175006 | + | 0.145691i | ||||
\(78\) | 5.46495 | + | 2.18463i | 0.618783 | + | 0.247360i | ||||
\(79\) | − | 17.2973i | − | 1.94610i | −0.230603 | − | 0.973048i | \(-0.574070\pi\) | ||
0.230603 | − | 0.973048i | \(-0.425930\pi\) | |||||||
\(80\) | 13.8610 | − | 7.54393i | 1.54970 | − | 0.843437i | ||||
\(81\) | 0.623490 | + | 0.781831i | 0.0692766 | + | 0.0868702i | ||||
\(82\) | 0.769925 | + | 0.840328i | 0.0850240 | + | 0.0927987i | ||||
\(83\) | 4.95499 | + | 2.38620i | 0.543881 | + | 0.261919i | 0.685588 | − | 0.727989i | \(-0.259545\pi\) |
−0.141708 | + | 0.989909i | \(0.545259\pi\) | |||||||
\(84\) | 4.80684 | + | 2.21229i | 0.524470 | + | 0.241381i | ||||
\(85\) | −17.6296 | + | 8.48997i | −1.91220 | + | 0.920867i | ||||
\(86\) | −13.4139 | − | 5.36222i | −1.44645 | − | 0.578223i | ||||
\(87\) | −5.56108 | + | 2.67807i | −0.596210 | + | 0.287120i | ||||
\(88\) | −1.34756 | + | 0.280915i | −0.143651 | + | 0.0299456i | ||||
\(89\) | −6.19385 | + | 12.8617i | −0.656547 | + | 1.36333i | 0.260857 | + | 0.965377i | \(0.415995\pi\) |
−0.917404 | + | 0.397957i | \(0.869719\pi\) | |||||||
\(90\) | −1.61097 | − | 5.34176i | −0.169811 | − | 0.563071i | ||||
\(91\) | 1.31317 | − | 10.9320i | 0.137658 | − | 1.14599i | ||||
\(92\) | 0.798499 | − | 2.47751i | 0.0832493 | − | 0.258298i | ||||
\(93\) | 0.326802 | − | 1.43181i | 0.0338878 | − | 0.148472i | ||||
\(94\) | 11.3056 | + | 1.77688i | 1.16608 | + | 0.183271i | ||||
\(95\) | 4.85586 | + | 1.10832i | 0.498200 | + | 0.113711i | ||||
\(96\) | −0.600018 | + | 5.62494i | −0.0612390 | + | 0.574093i | ||||
\(97\) | − | 3.59515i | − | 0.365033i | −0.983203 | − | 0.182516i | \(-0.941576\pi\) | ||
0.983203 | − | 0.182516i | \(-0.0584242\pi\) | |||||||
\(98\) | 1.68059 | − | 9.75580i | 0.169765 | − | 0.985485i | ||||
\(99\) | 0.486678i | 0.0489129i | ||||||||
\(100\) | −1.84412 | + | 21.0490i | −0.184412 | + | 2.10490i | ||||
\(101\) | −9.20206 | − | 2.10031i | −0.915640 | − | 0.208989i | −0.261360 | − | 0.965241i | \(-0.584171\pi\) |
−0.654280 | + | 0.756253i | \(0.727028\pi\) | |||||||
\(102\) | 1.08904 | − | 6.92910i | 0.107831 | − | 0.686083i | ||||
\(103\) | −3.13189 | + | 13.7217i | −0.308595 | + | 1.35204i | 0.548185 | + | 0.836357i | \(0.315319\pi\) |
−0.856779 | + | 0.515684i | \(0.827538\pi\) | |||||||
\(104\) | 11.5231 | − | 2.40213i | 1.12994 | − | 0.235548i | ||||
\(105\) | −8.87876 | + | 5.48830i | −0.866478 | + | 0.535603i | ||||
\(106\) | −8.73190 | + | 2.63336i | −0.848117 | + | 0.255775i | ||||
\(107\) | 7.50112 | − | 15.5762i | 0.725161 | − | 1.50581i | −0.132271 | − | 0.991214i | \(-0.542227\pi\) |
0.857431 | − | 0.514598i | \(-0.172059\pi\) | |||||||
\(108\) | 1.90357 | + | 0.613520i | 0.183171 | + | 0.0590360i | ||||
\(109\) | −1.60357 | + | 0.772241i | −0.153595 | + | 0.0739672i | −0.509102 | − | 0.860706i | \(-0.670022\pi\) |
0.355507 | + | 0.934673i | \(0.384308\pi\) | |||||||
\(110\) | 1.00792 | − | 2.52137i | 0.0961017 | − | 0.240403i | ||||
\(111\) | −8.59217 | + | 4.13777i | −0.815533 | + | 0.392740i | ||||
\(112\) | 10.4570 | − | 1.62832i | 0.988092 | − | 0.153862i | ||||
\(113\) | 13.6982 | + | 6.59671i | 1.28862 | + | 0.620566i | 0.947591 | − | 0.319487i | \(-0.103511\pi\) |
0.341028 | + | 0.940053i | \(0.389225\pi\) | |||||||
\(114\) | −1.31641 | + | 1.20612i | −0.123293 | + | 0.112964i | ||||
\(115\) | 3.20145 | + | 4.01450i | 0.298537 | + | 0.374354i | ||||
\(116\) | −6.30641 | + | 10.6122i | −0.585535 | + | 0.985323i | ||||
\(117\) | − | 4.16162i | − | 0.384742i | ||||||
\(118\) | 0.582550 | − | 1.45728i | 0.0536281 | − | 0.134153i | ||||
\(119\) | −13.0502 | + | 1.37337i | −1.19631 | + | 0.125896i | ||||
\(120\) | −8.59138 | − | 7.12087i | −0.784282 | − | 0.650044i | ||||
\(121\) | 6.71071 | − | 8.41497i | 0.610065 | − | 0.764997i | ||||
\(122\) | −8.16995 | + | 0.560567i | −0.739672 | + | 0.0507514i | ||||
\(123\) | 0.349665 | − | 0.726087i | 0.0315282 | − | 0.0654691i | ||||
\(124\) | −1.03860 | − | 2.74752i | −0.0932695 | − | 0.246735i | ||||
\(125\) | −17.1647 | − | 13.6884i | −1.53526 | − | 1.22433i | ||||
\(126\) | 0.190901 | − | 3.73678i | 0.0170068 | − | 0.332899i | ||||
\(127\) | −2.69476 | + | 2.14900i | −0.239121 | + | 0.190693i | −0.735717 | − | 0.677289i | \(-0.763155\pi\) |
0.496596 | + | 0.867982i | \(0.334583\pi\) | |||||||
\(128\) | 5.21984 | + | 10.0376i | 0.461373 | + | 0.887206i | ||||
\(129\) | 10.2148i | 0.899364i | ||||||||
\(130\) | −8.61885 | + | 21.5605i | −0.755923 | + | 1.89098i | ||||
\(131\) | 0.220049 | + | 0.964099i | 0.0192258 | + | 0.0842338i | 0.983631 | − | 0.180196i | \(-0.0576733\pi\) |
−0.964405 | + | 0.264430i | \(0.914816\pi\) | |||||||
\(132\) | 0.538144 | + | 0.811062i | 0.0468394 | + | 0.0705939i | ||||
\(133\) | 2.81508 | + | 1.79782i | 0.244098 | + | 0.155891i | ||||
\(134\) | 4.63566 | − | 6.70816i | 0.400460 | − | 0.579497i | ||||
\(135\) | −3.08450 | + | 2.45981i | −0.265472 | + | 0.211707i | ||||
\(136\) | −5.84694 | − | 12.7517i | −0.501371 | − | 1.09345i | ||||
\(137\) | 4.05489 | + | 17.7656i | 0.346432 | + | 1.51782i | 0.785213 | + | 0.619225i | \(0.212553\pi\) |
−0.438781 | + | 0.898594i | \(0.644590\pi\) | |||||||
\(138\) | −1.83629 | + | 0.125994i | −0.156315 | + | 0.0107253i | ||||
\(139\) | −2.69583 | + | 11.8112i | −0.228657 | + | 1.00181i | 0.722079 | + | 0.691811i | \(0.243187\pi\) |
−0.950736 | + | 0.310002i | \(0.899670\pi\) | |||||||
\(140\) | −8.72801 | + | 18.9641i | −0.737651 | + | 1.60276i | ||||
\(141\) | −1.80072 | − | 7.88948i | −0.151648 | − | 0.664414i | ||||
\(142\) | −1.64072 | − | 5.44043i | −0.137686 | − | 0.456551i | ||||
\(143\) | 1.26280 | − | 1.58350i | 0.105600 | − | 0.132419i | ||||
\(144\) | 3.85076 | − | 1.08243i | 0.320897 | − | 0.0902025i | ||||
\(145\) | −10.5656 | − | 21.9397i | −0.877426 | − | 1.82199i | ||||
\(146\) | −18.0072 | + | 10.2459i | −1.49028 | + | 0.847954i | ||||
\(147\) | −6.84665 | + | 1.45718i | −0.564702 | + | 0.120186i | ||||
\(148\) | −9.74375 | + | 16.3965i | −0.800931 | + | 1.34778i | ||||
\(149\) | −6.45073 | + | 3.10651i | −0.528464 | + | 0.254495i | −0.679037 | − | 0.734104i | \(-0.737602\pi\) |
0.150573 | + | 0.988599i | \(0.451888\pi\) | |||||||
\(150\) | 14.3046 | − | 4.31397i | 1.16796 | − | 0.352234i | ||||
\(151\) | −14.3752 | − | 11.4638i | −1.16984 | − | 0.932915i | −0.171208 | − | 0.985235i | \(-0.554767\pi\) |
−0.998630 | + | 0.0523203i | \(0.983338\pi\) | |||||||
\(152\) | −0.860165 | + | 3.46566i | −0.0697686 | + | 0.281102i | ||||
\(153\) | −4.83541 | + | 1.10365i | −0.390920 | + | 0.0892249i | ||||
\(154\) | 1.20652 | − | 1.36392i | 0.0972243 | − | 0.109908i | ||||
\(155\) | 5.64884 | + | 1.28931i | 0.453725 | + | 0.103560i | ||||
\(156\) | −4.60172 | − | 6.93546i | −0.368432 | − | 0.555282i | ||||
\(157\) | −2.24926 | + | 0.513379i | −0.179511 | + | 0.0409721i | −0.311331 | − | 0.950301i | \(-0.600775\pi\) |
0.131821 | + | 0.991274i | \(0.457918\pi\) | |||||||
\(158\) | −13.9069 | + | 20.1244i | −1.10637 | + | 1.60101i | ||||
\(159\) | 4.02092 | + | 5.04208i | 0.318880 | + | 0.399863i | ||||
\(160\) | −22.1917 | − | 2.36721i | −1.75441 | − | 0.187144i | ||||
\(161\) | 1.11339 | + | 3.25849i | 0.0877472 | + | 0.256805i | ||||
\(162\) | −0.0968063 | − | 1.41090i | −0.00760582 | − | 0.110850i | ||||
\(163\) | 20.1553 | − | 4.60033i | 1.57869 | − | 0.360325i | 0.658742 | − | 0.752369i | \(-0.271089\pi\) |
0.919947 | + | 0.392044i | \(0.128232\pi\) | |||||||
\(164\) | −0.220144 | − | 1.59669i | −0.0171904 | − | 0.124680i | ||||
\(165\) | −1.92005 | −0.149476 | ||||||||
\(166\) | −3.84635 | − | 6.75998i | −0.298535 | − | 0.524676i | ||||
\(167\) | −5.97855 | − | 7.49686i | −0.462634 | − | 0.580124i | 0.494716 | − | 0.869054i | \(-0.335272\pi\) |
−0.957350 | + | 0.288930i | \(0.906700\pi\) | |||||||
\(168\) | −3.81381 | − | 6.43854i | −0.294242 | − | 0.496744i | ||||
\(169\) | −2.69293 | + | 3.37682i | −0.207148 | + | 0.259756i | ||||
\(170\) | 27.3369 | + | 4.29650i | 2.09664 | + | 0.329527i | ||||
\(171\) | 1.13745 | + | 0.547765i | 0.0869827 | + | 0.0418887i | ||||
\(172\) | 11.2950 | + | 17.0233i | 0.861238 | + | 1.29801i | ||||
\(173\) | 14.8636 | + | 11.8533i | 1.13006 | + | 0.901191i | 0.995962 | − | 0.0897778i | \(-0.0286157\pi\) |
0.134095 | + | 0.990968i | \(0.457187\pi\) | |||||||
\(174\) | 8.62314 | + | 1.35529i | 0.653718 | + | 0.102744i | ||||
\(175\) | −14.6970 | − | 23.7762i | −1.11099 | − | 1.79731i | ||||
\(176\) | 1.79366 | + | 0.756604i | 0.135203 | + | 0.0570312i | ||||
\(177\) | −1.10973 | −0.0834127 | ||||||||
\(178\) | 17.5469 | − | 9.98398i | 1.31519 | − | 0.748331i | ||||
\(179\) | −2.37352 | + | 1.89282i | −0.177405 | + | 0.141476i | −0.708167 | − | 0.706045i | \(-0.750477\pi\) |
0.530761 | + | 0.847521i | \(0.321906\pi\) | |||||||
\(180\) | −2.42048 | + | 7.51003i | −0.180412 | + | 0.559765i | ||||
\(181\) | −6.09541 | + | 12.6573i | −0.453069 | + | 0.940806i | 0.541883 | + | 0.840454i | \(0.317711\pi\) |
−0.994952 | + | 0.100353i | \(0.968003\pi\) | |||||||
\(182\) | −10.3171 | + | 11.6630i | −0.764753 | + | 0.864519i | ||||
\(183\) | 2.51245 | + | 5.21716i | 0.185726 | + | 0.385663i | ||||
\(184\) | −2.92091 | + | 2.24045i | −0.215332 | + | 0.165168i | ||||
\(185\) | −16.3245 | − | 33.8981i | −1.20020 | − | 2.49224i | ||||
\(186\) | −1.53138 | + | 1.40309i | −0.112287 | + | 0.102879i | ||||
\(187\) | −2.17476 | − | 1.04731i | −0.159034 | − | 0.0765869i | ||||
\(188\) | −11.7248 | − | 11.1569i | −0.855116 | − | 0.813700i | ||||
\(189\) | −2.50363 | + | 0.855461i | −0.182113 | + | 0.0622256i | ||||
\(190\) | −4.75842 | − | 5.19354i | −0.345212 | − | 0.376779i | ||||
\(191\) | 12.8094 | + | 2.92366i | 0.926856 | + | 0.211549i | 0.659202 | − | 0.751966i | \(-0.270894\pi\) |
0.267654 | + | 0.963515i | \(0.413752\pi\) | |||||||
\(192\) | 5.22050 | − | 6.06188i | 0.376757 | − | 0.437478i | ||||
\(193\) | 1.21712 | − | 5.33255i | 0.0876101 | − | 0.383845i | −0.912045 | − | 0.410089i | \(-0.865498\pi\) |
0.999656 | + | 0.0262441i | \(0.00835473\pi\) | |||||||
\(194\) | −2.89048 | + | 4.18275i | −0.207524 | + | 0.300304i | ||||
\(195\) | 16.4186 | 1.17576 | ||||||||
\(196\) | −9.79886 | + | 9.99912i | −0.699919 | + | 0.714223i | ||||
\(197\) | −5.42046 | −0.386192 | −0.193096 | − | 0.981180i | \(-0.561853\pi\) | ||||
−0.193096 | + | 0.981180i | \(0.561853\pi\) | |||||||
\(198\) | 0.391285 | − | 0.566221i | 0.0278074 | − | 0.0402395i | ||||
\(199\) | −4.19586 | + | 18.3833i | −0.297437 | + | 1.30316i | 0.576492 | + | 0.817103i | \(0.304421\pi\) |
−0.873929 | + | 0.486054i | \(0.838436\pi\) | |||||||
\(200\) | 19.0688 | − | 23.0066i | 1.34837 | − | 1.62681i | ||||
\(201\) | −5.62123 | − | 1.28301i | −0.396491 | − | 0.0904966i | ||||
\(202\) | 9.01742 | + | 9.84198i | 0.634464 | + | 0.692480i | ||||
\(203\) | −1.70913 | − | 16.2408i | −0.119957 | − | 1.13988i | ||||
\(204\) | −6.83798 | + | 7.18602i | −0.478754 | + | 0.503122i | ||||
\(205\) | 2.86458 | + | 1.37951i | 0.200071 | + | 0.0963491i | ||||
\(206\) | 14.6759 | − | 13.4464i | 1.02252 | − | 0.936854i | ||||
\(207\) | 0.564702 | + | 1.17262i | 0.0392495 | + | 0.0815024i | ||||
\(208\) | −15.3378 | − | 6.46979i | −1.06348 | − | 0.448599i | ||||
\(209\) | 0.266585 | + | 0.553570i | 0.0184401 | + | 0.0382912i | ||||
\(210\) | 14.7425 | + | 0.753146i | 1.01733 | + | 0.0519720i | ||||
\(211\) | −10.0671 | + | 20.9046i | −0.693048 | + | 1.43913i | 0.195667 | + | 0.980670i | \(0.437313\pi\) |
−0.888715 | + | 0.458459i | \(0.848402\pi\) | |||||||
\(212\) | 12.2763 | + | 3.95663i | 0.843137 | + | 0.271742i | ||||
\(213\) | −3.14148 | + | 2.50524i | −0.215250 | + | 0.171657i | ||||
\(214\) | −21.2503 | + | 12.0912i | −1.45264 | + | 0.826536i | ||||
\(215\) | −40.2998 | −2.74842 | ||||||||
\(216\) | −1.72143 | − | 2.24425i | −0.117128 | − | 0.152702i | ||||
\(217\) | 3.27479 | + | 2.09141i | 0.222307 | + | 0.141974i | ||||
\(218\) | 2.48654 | + | 0.390807i | 0.168410 | + | 0.0264688i | ||||
\(219\) | 11.4537 | + | 9.13402i | 0.773969 | + | 0.617220i | ||||
\(220\) | −3.19982 | + | 2.12310i | −0.215732 | + | 0.143139i | ||||
\(221\) | 18.5966 | + | 8.95565i | 1.25094 | + | 0.602422i | ||||
\(222\) | 13.3232 | + | 2.09399i | 0.894196 | + | 0.140540i | ||||
\(223\) | 9.77737 | − | 12.2604i | 0.654741 | − | 0.821019i | −0.338018 | − | 0.941140i | \(-0.609757\pi\) |
0.992759 | + | 0.120120i | \(0.0383280\pi\) | |||||||
\(224\) | −13.4752 | − | 6.51289i | −0.900353 | − | 0.435161i | ||||
\(225\) | −6.58706 | − | 8.25991i | −0.439137 | − | 0.550661i | ||||
\(226\) | −10.6333 | − | 18.6881i | −0.707319 | − | 1.24312i | ||||
\(227\) | 5.31375 | 0.352686 | 0.176343 | − | 0.984329i | \(-0.443573\pi\) | ||||
0.176343 | + | 0.984329i | \(0.443573\pi\) | |||||||
\(228\) | 2.50128 | − | 0.344866i | 0.165651 | − | 0.0228393i | ||||
\(229\) | 21.3557 | − | 4.87430i | 1.41122 | − | 0.322103i | 0.552061 | − | 0.833804i | \(-0.313842\pi\) |
0.859164 | + | 0.511701i | \(0.170984\pi\) | |||||||
\(230\) | −0.497075 | − | 7.24458i | −0.0327761 | − | 0.477693i | ||||
\(231\) | −1.21221 | − | 0.434196i | −0.0797577 | − | 0.0285680i | ||||
\(232\) | 15.8693 | − | 7.27641i | 1.04187 | − | 0.477720i | ||||
\(233\) | 2.34249 | + | 2.93739i | 0.153462 | + | 0.192435i | 0.852619 | − | 0.522533i | \(-0.175013\pi\) |
−0.699157 | + | 0.714968i | \(0.746441\pi\) | |||||||
\(234\) | −3.34592 | + | 4.84180i | −0.218730 | + | 0.316519i | ||||
\(235\) | 31.1258 | − | 7.10426i | 2.03042 | − | 0.463431i | ||||
\(236\) | −1.84940 | + | 1.22709i | −0.120386 | + | 0.0798767i | ||||
\(237\) | 16.8636 | + | 3.84901i | 1.09541 | + | 0.250020i | ||||
\(238\) | 16.2873 | + | 8.89446i | 1.05575 | + | 0.576542i | ||||
\(239\) | 6.92758 | − | 1.58118i | 0.448108 | − | 0.102278i | 0.00748909 | − | 0.999972i | \(-0.497616\pi\) |
0.440619 | + | 0.897694i | \(0.354759\pi\) | |||||||
\(240\) | 4.27043 | + | 15.1921i | 0.275655 | + | 0.980647i | ||||
\(241\) | 6.35072 | + | 5.06453i | 0.409086 | + | 0.326235i | 0.806317 | − | 0.591484i | \(-0.201458\pi\) |
−0.397231 | + | 0.917718i | \(0.630029\pi\) | |||||||
\(242\) | −14.5731 | + | 4.39495i | −0.936794 | + | 0.282518i | ||||
\(243\) | −0.900969 | + | 0.433884i | −0.0577972 | + | 0.0278337i | ||||
\(244\) | 9.95594 | + | 5.91639i | 0.637364 | + | 0.378758i | ||||
\(245\) | −5.74890 | − | 27.0116i | −0.367284 | − | 1.72571i | ||||
\(246\) | −0.990584 | + | 0.563631i | −0.0631573 | + | 0.0359358i | ||||
\(247\) | −2.27959 | − | 4.73363i | −0.145047 | − | 0.301193i | ||||
\(248\) | −1.00063 | + | 4.03161i | −0.0635403 | + | 0.256008i | ||||
\(249\) | −3.42896 | + | 4.29978i | −0.217301 | + | 0.272487i | ||||
\(250\) | 8.96475 | + | 29.7260i | 0.566981 | + | 1.88004i | ||||
\(251\) | −0.449468 | − | 1.96925i | −0.0283702 | − | 0.124298i | 0.958760 | − | 0.284217i | \(-0.0917337\pi\) |
−0.987130 | + | 0.159919i | \(0.948877\pi\) | |||||||
\(252\) | −3.22645 | + | 4.19405i | −0.203247 | + | 0.264200i | ||||
\(253\) | −0.140948 | + | 0.617532i | −0.00886131 | + | 0.0388239i | ||||
\(254\) | 4.86298 | − | 0.333665i | 0.305130 | − | 0.0209360i | ||||
\(255\) | −4.35415 | − | 19.0768i | −0.272668 | − | 1.19463i | ||||
\(256\) | 1.99719 | − | 15.8749i | 0.124824 | − | 0.992179i | ||||
\(257\) | −5.51642 | + | 4.39920i | −0.344105 | + | 0.274414i | −0.780258 | − | 0.625458i | \(-0.784912\pi\) |
0.436153 | + | 0.899873i | \(0.356341\pi\) | |||||||
\(258\) | 8.21264 | − | 11.8843i | 0.511297 | − | 0.739886i | ||||
\(259\) | −2.64070 | − | 25.0929i | −0.164085 | − | 1.55920i | ||||
\(260\) | 27.3620 | − | 18.1548i | 1.69692 | − | 1.12591i | ||||
\(261\) | −1.37347 | − | 6.01758i | −0.0850158 | − | 0.372479i | ||||
\(262\) | 0.519115 | − | 1.29859i | 0.0320710 | − | 0.0802272i | ||||
\(263\) | 24.6901i | 1.52246i | 0.648483 | + | 0.761229i | \(0.275404\pi\) | ||||
−0.648483 | + | 0.761229i | \(0.724596\pi\) | |||||||
\(264\) | 0.0259895 | − | 1.37629i | 0.00159954 | − | 0.0847046i | ||||
\(265\) | −19.8921 | + | 15.8635i | −1.22196 | + | 0.974484i | ||||
\(266\) | −1.82974 | − | 4.35496i | −0.112189 | − | 0.267020i | ||||
\(267\) | −11.1609 | − | 8.90055i | −0.683038 | − | 0.544705i | ||||
\(268\) | −10.7866 | + | 4.07751i | −0.658899 | + | 0.249074i | ||||
\(269\) | 3.38566 | − | 7.03040i | 0.206428 | − | 0.428651i | −0.771892 | − | 0.635754i | \(-0.780689\pi\) |
0.978319 | + | 0.207103i | \(0.0664035\pi\) | |||||||
\(270\) | 5.56631 | − | 0.381923i | 0.338755 | − | 0.0232431i | ||||
\(271\) | 16.4026 | − | 20.5683i | 0.996389 | − | 1.24943i | 0.0280990 | − | 0.999605i | \(-0.491055\pi\) |
0.968290 | − | 0.249828i | \(-0.0803739\pi\) | |||||||
\(272\) | −3.44974 | + | 19.5368i | −0.209171 | + | 1.18459i | ||||
\(273\) | 10.3657 | + | 3.71285i | 0.627363 | + | 0.224712i | ||||
\(274\) | 9.56582 | − | 23.9293i | 0.577892 | − | 1.44562i | ||||
\(275\) | − | 5.14166i | − | 0.310054i | ||||||
\(276\) | 2.23771 | + | 1.32978i | 0.134694 | + | 0.0800432i | ||||
\(277\) | 8.41073 | + | 10.5467i | 0.505352 | + | 0.633691i | 0.967427 | − | 0.253149i | \(-0.0814664\pi\) |
−0.462075 | + | 0.886841i | \(0.652895\pi\) | |||||||
\(278\) | 12.6326 | − | 11.5742i | 0.757651 | − | 0.694175i | ||||
\(279\) | 1.32320 | + | 0.637218i | 0.0792177 | + | 0.0381492i | ||||
\(280\) | 25.4015 | − | 15.0464i | 1.51803 | − | 0.899191i | ||||
\(281\) | 2.69279 | − | 1.29678i | 0.160638 | − | 0.0773594i | −0.351837 | − | 0.936061i | \(-0.614443\pi\) |
0.512475 | + | 0.858702i | \(0.328729\pi\) | |||||||
\(282\) | −4.24806 | + | 10.6267i | −0.252968 | + | 0.632812i | ||||
\(283\) | 11.1751 | − | 5.38163i | 0.664289 | − | 0.319905i | −0.0711795 | − | 0.997464i | \(-0.522676\pi\) |
0.735469 | + | 0.677559i | \(0.236962\pi\) | |||||||
\(284\) | −2.46518 | + | 7.64875i | −0.146282 | + | 0.453870i | ||||
\(285\) | −2.16106 | + | 4.48749i | −0.128010 | + | 0.265816i | ||||
\(286\) | −2.74231 | + | 0.827025i | −0.162156 | + | 0.0489030i | ||||
\(287\) | 1.49657 | + | 1.51873i | 0.0883399 | + | 0.0896479i | ||||
\(288\) | −5.35040 | − | 1.83664i | −0.315275 | − | 0.108225i | ||||
\(289\) | 1.69099 | − | 7.40869i | 0.0994697 | − | 0.435805i | ||||
\(290\) | −5.34692 | + | 34.0202i | −0.313982 | + | 1.99774i | ||||
\(291\) | 3.50502 | + | 0.799997i | 0.205468 | + | 0.0468967i | ||||
\(292\) | 29.1879 | + | 2.55717i | 1.70809 | + | 0.149647i | ||||
\(293\) | 6.94236i | 0.405577i | 0.979223 | + | 0.202788i | \(0.0650003\pi\) | ||||
−0.979223 | + | 0.202788i | \(0.935000\pi\) | |||||||
\(294\) | 9.13724 | + | 3.80932i | 0.532894 | + | 0.222164i | ||||
\(295\) | − | 4.37815i | − | 0.254906i | ||||||
\(296\) | 24.5190 | − | 11.2425i | 1.42514 | − | 0.653455i | ||||
\(297\) | −0.474475 | − | 0.108296i | −0.0275319 | − | 0.00628397i | ||||
\(298\) | 10.0026 | + | 1.57210i | 0.579438 | + | 0.0910695i | ||||
\(299\) | 1.20526 | − | 5.28058i | 0.0697018 | − | 0.305384i | ||||
\(300\) | −20.1109 | − | 6.48173i | −1.16110 | − | 0.374223i | ||||
\(301\) | −25.4430 | − | 9.11329i | −1.46651 | − | 0.525281i | ||||
\(302\) | 7.50785 | + | 24.8951i | 0.432028 | + | 1.43255i | ||||
\(303\) | 4.09530 | − | 8.50399i | 0.235269 | − | 0.488541i | ||||
\(304\) | 3.78712 | − | 3.34052i | 0.217206 | − | 0.191592i | ||||
\(305\) | −20.5829 | + | 9.91219i | −1.17857 | + | 0.567570i | ||||
\(306\) | 6.51304 | + | 2.60360i | 0.372326 | + | 0.148838i | ||||
\(307\) | 9.88187 | − | 4.75886i | 0.563988 | − | 0.271602i | −0.130090 | − | 0.991502i | \(-0.541527\pi\) |
0.694078 | + | 0.719900i | \(0.255812\pi\) | |||||||
\(308\) | −2.50030 | + | 0.616804i | −0.142468 | + | 0.0351457i | ||||
\(309\) | −12.6808 | − | 6.10674i | −0.721384 | − | 0.347400i | ||||
\(310\) | −5.53549 | − | 6.04166i | −0.314395 | − | 0.343143i | ||||
\(311\) | 4.50930 | + | 5.65449i | 0.255699 | + | 0.320637i | 0.893068 | − | 0.449923i | \(-0.148548\pi\) |
−0.637368 | + | 0.770559i | \(0.719977\pi\) | |||||||
\(312\) | −0.222239 | + | 11.7688i | −0.0125818 | + | 0.666275i | ||||
\(313\) | − | 7.77323i | − | 0.439369i | −0.975571 | − | 0.219684i | \(-0.929497\pi\) | ||
0.975571 | − | 0.219684i | \(-0.0705028\pi\) | |||||||
\(314\) | 3.02964 | + | 1.21110i | 0.170972 | + | 0.0683466i | ||||
\(315\) | −3.37499 | − | 9.87741i | −0.190159 | − | 0.556529i | ||||
\(316\) | 32.3597 | − | 12.2325i | 1.82038 | − | 0.688129i | ||||
\(317\) | 7.45847 | − | 9.35262i | 0.418909 | − | 0.525296i | −0.526940 | − | 0.849903i | \(-0.676661\pi\) |
0.945849 | + | 0.324607i | \(0.105232\pi\) | |||||||
\(318\) | −0.624310 | − | 9.09895i | −0.0350095 | − | 0.510244i | ||||
\(319\) | 1.30336 | − | 2.70645i | 0.0729740 | − | 0.151532i | ||||
\(320\) | 23.9155 | + | 20.5961i | 1.33692 | + | 1.15136i | ||||
\(321\) | 13.5166 | + | 10.7791i | 0.754420 | + | 0.601630i | ||||
\(322\) | 1.32445 | − | 4.68622i | 0.0738085 | − | 0.261153i | ||||
\(323\) | −4.89548 | + | 3.90401i | −0.272392 | + | 0.217225i | ||||
\(324\) | −1.02172 | + | 1.71933i | −0.0567624 | + | 0.0955181i | ||||
\(325\) | 43.9668i | 2.43884i | ||||||||
\(326\) | −27.1482 | − | 10.8526i | −1.50360 | − | 0.601067i | ||||
\(327\) | −0.396050 | − | 1.73521i | −0.0219016 | − | 0.0959573i | ||||
\(328\) | −1.02760 | + | 2.03465i | −0.0567397 | + | 0.112345i | ||||
\(329\) | 21.2576 | + | 2.55349i | 1.17197 | + | 0.140778i | ||||
\(330\) | 2.23387 | + | 1.54371i | 0.122970 | + | 0.0849785i | ||||
\(331\) | −14.2131 | + | 11.3346i | −0.781222 | + | 0.623004i | −0.930709 | − | 0.365760i | \(-0.880809\pi\) |
0.149487 | + | 0.988764i | \(0.452238\pi\) | |||||||
\(332\) | −0.959974 | + | 10.9573i | −0.0526854 | + | 0.601359i | ||||
\(333\) | −2.12209 | − | 9.29749i | −0.116290 | − | 0.509499i | ||||
\(334\) | 0.928261 | + | 13.5289i | 0.0507922 | + | 0.740266i | ||||
\(335\) | 5.06177 | − | 22.1771i | 0.276554 | − | 1.21166i | ||||
\(336\) | −0.739403 | + | 10.5571i | −0.0403378 | + | 0.575939i | ||||
\(337\) | −6.91159 | − | 30.2816i | −0.376498 | − | 1.64955i | −0.708089 | − | 0.706123i | \(-0.750443\pi\) |
0.331591 | − | 0.943423i | \(-0.392415\pi\) | |||||||
\(338\) | 5.84801 | − | 1.76364i | 0.318090 | − | 0.0959294i | ||||
\(339\) | −9.47945 | + | 11.8869i | −0.514853 | + | 0.645605i | ||||
\(340\) | −28.3505 | − | 26.9774i | −1.53752 | − | 1.46305i | ||||
\(341\) | 0.310119 | + | 0.643970i | 0.0167939 | + | 0.0348729i | ||||
\(342\) | −0.882952 | − | 1.55179i | −0.0477446 | − | 0.0839113i | ||||
\(343\) | 2.47881 | − | 18.3536i | 0.133843 | − | 0.991003i | ||||
\(344\) | 0.545490 | − | 28.8867i | 0.0294109 | − | 1.55747i | ||||
\(345\) | −4.62624 | + | 2.22788i | −0.249068 | + | 0.119945i | ||||
\(346\) | −7.76292 | − | 25.7408i | −0.417337 | − | 1.38384i | ||||
\(347\) | 22.8895 | + | 18.2538i | 1.22877 | + | 0.979914i | 0.999979 | + | 0.00643910i | \(0.00204964\pi\) |
0.228794 | + | 0.973475i | \(0.426522\pi\) | |||||||
\(348\) | −8.94287 | − | 8.50974i | −0.479388 | − | 0.456170i | ||||
\(349\) | 1.49584 | − | 0.341417i | 0.0800707 | − | 0.0182756i | −0.182298 | − | 0.983243i | \(-0.558354\pi\) |
0.262369 | + | 0.964968i | \(0.415496\pi\) | |||||||
\(350\) | −2.01683 | + | 39.4785i | −0.107804 | + | 2.11021i | ||||
\(351\) | 4.05728 | + | 0.926049i | 0.216562 | + | 0.0494288i | ||||
\(352\) | −1.47852 | − | 2.32236i | −0.0788052 | − | 0.123782i | ||||
\(353\) | −32.2813 | + | 7.36800i | −1.71816 | + | 0.392159i | −0.964287 | − | 0.264861i | \(-0.914674\pi\) |
−0.753874 | + | 0.657020i | \(0.771817\pi\) | |||||||
\(354\) | 1.29111 | + | 0.892219i | 0.0686217 | + | 0.0474209i | ||||
\(355\) | −9.88376 | − | 12.3938i | −0.524576 | − | 0.657797i | ||||
\(356\) | −28.4418 | − | 2.49180i | −1.50741 | − | 0.132065i | ||||
\(357\) | 1.56502 | − | 13.0286i | 0.0828294 | − | 0.689548i | ||||
\(358\) | 4.28326 | − | 0.293889i | 0.226378 | − | 0.0155325i | ||||
\(359\) | −13.4995 | + | 3.08118i | −0.712477 | + | 0.162618i | −0.563372 | − | 0.826203i | \(-0.690496\pi\) |
−0.149105 | + | 0.988821i | \(0.547639\pi\) | |||||||
\(360\) | 8.85410 | − | 6.79143i | 0.466652 | − | 0.357940i | ||||
\(361\) | −17.4062 | −0.916114 | ||||||||
\(362\) | 17.2680 | − | 9.82530i | 0.907586 | − | 0.516406i | ||||
\(363\) | 6.71071 | + | 8.41497i | 0.352221 | + | 0.441671i | ||||
\(364\) | 21.3803 | − | 5.27435i | 1.12063 | − | 0.276451i | ||||
\(365\) | −36.0358 | + | 45.1875i | −1.88620 | + | 2.36522i | ||||
\(366\) | 1.27147 | − | 8.08985i | 0.0664609 | − | 0.422863i | ||||
\(367\) | 24.4659 | + | 11.7821i | 1.27711 | + | 0.615023i | 0.944645 | − | 0.328093i | \(-0.106406\pi\) |
0.332463 | + | 0.943116i | \(0.392120\pi\) | |||||||
\(368\) | 5.19961 | − | 0.258240i | 0.271049 | − | 0.0134617i | ||||
\(369\) | 0.630075 | + | 0.502468i | 0.0328004 | + | 0.0261574i | ||||
\(370\) | −8.26129 | + | 52.5632i | −0.429484 | + | 2.73263i | ||||
\(371\) | −16.1461 | + | 5.51692i | −0.838263 | + | 0.286424i | ||||
\(372\) | 2.90975 | − | 0.401184i | 0.150863 | − | 0.0208004i | ||||
\(373\) | 8.11851 | 0.420361 | 0.210180 | − | 0.977663i | \(-0.432595\pi\) | ||||
0.210180 | + | 0.977663i | \(0.432595\pi\) | |||||||
\(374\) | 1.68818 | + | 2.96698i | 0.0872935 | + | 0.153419i | ||||
\(375\) | 17.1647 | − | 13.6884i | 0.886382 | − | 0.706866i | ||||
\(376\) | 4.67099 | + | 22.4070i | 0.240888 | + | 1.15555i | ||||
\(377\) | −11.1451 | + | 23.1431i | −0.574004 | + | 1.19193i | ||||
\(378\) | 3.60062 | + | 1.01763i | 0.185196 | + | 0.0523411i | ||||
\(379\) | −1.47164 | − | 3.05588i | −0.0755928 | − | 0.156970i | 0.859747 | − | 0.510719i | \(-0.170621\pi\) |
−0.935340 | + | 0.353749i | \(0.884907\pi\) | |||||||
\(380\) | 1.36057 | + | 9.86811i | 0.0697960 | + | 0.506224i | ||||
\(381\) | −1.49548 | − | 3.10540i | −0.0766157 | − | 0.159094i | ||||
\(382\) | −12.5524 | − | 13.7002i | −0.642235 | − | 0.700962i | ||||
\(383\) | −2.98516 | − | 1.43758i | −0.152534 | − | 0.0734567i | 0.356059 | − | 0.934463i | \(-0.384120\pi\) |
−0.508594 | + | 0.861007i | \(0.669834\pi\) | |||||||
\(384\) | −10.9475 | + | 2.85539i | −0.558660 | + | 0.145714i | ||||
\(385\) | 1.71300 | − | 4.78245i | 0.0873027 | − | 0.243736i | ||||
\(386\) | −5.70338 | + | 5.22555i | −0.290294 | + | 0.265973i | ||||
\(387\) | −9.95871 | − | 2.27301i | −0.506230 | − | 0.115544i | ||||
\(388\) | 6.72581 | − | 2.54246i | 0.341451 | − | 0.129074i | ||||
\(389\) | −3.05499 | + | 13.3848i | −0.154894 | + | 0.678636i | 0.836526 | + | 0.547927i | \(0.184583\pi\) |
−0.991421 | + | 0.130710i | \(0.958274\pi\) | |||||||
\(390\) | −19.1020 | − | 13.2004i | −0.967269 | − | 0.668429i | ||||
\(391\) | −6.45515 | −0.326451 | ||||||||
\(392\) | 19.4396 | − | 3.75517i | 0.981849 | − | 0.189665i | ||||
\(393\) | −0.988893 | −0.0498831 | ||||||||
\(394\) | 6.30638 | + | 4.35801i | 0.317711 | + | 0.219553i | ||||
\(395\) | −15.1852 | + | 66.5307i | −0.764051 | + | 3.34752i | ||||
\(396\) | −0.910475 | + | 0.344173i | −0.0457531 | + | 0.0172954i | ||||
\(397\) | −13.8667 | − | 3.16498i | −0.695949 | − | 0.158846i | −0.140110 | − | 0.990136i | \(-0.544746\pi\) |
−0.555839 | + | 0.831290i | \(0.687603\pi\) | |||||||
\(398\) | 19.6617 | − | 18.0144i | 0.985551 | − | 0.902981i | ||||
\(399\) | −2.37916 | + | 2.34445i | −0.119107 | + | 0.117369i | ||||
\(400\) | −40.6826 | + | 11.4357i | −2.03413 | + | 0.571784i | ||||
\(401\) | −1.13160 | − | 0.544952i | −0.0565096 | − | 0.0272136i | 0.405416 | − | 0.914133i | \(-0.367127\pi\) |
−0.461925 | + | 0.886919i | \(0.652841\pi\) | |||||||
\(402\) | 5.50844 | + | 6.01214i | 0.274736 | + | 0.299858i | ||||
\(403\) | −2.65186 | − | 5.50665i | −0.132099 | − | 0.274306i | ||||
\(404\) | −2.57835 | − | 18.7005i | −0.128278 | − | 0.930385i | ||||
\(405\) | −1.71177 | − | 3.55453i | −0.0850585 | − | 0.176626i | ||||
\(406\) | −11.0690 | + | 20.2693i | −0.549345 | + | 1.00595i | ||||
\(407\) | 2.01376 | − | 4.18162i | 0.0998184 | − | 0.207275i | ||||
\(408\) | 13.7331 | − | 2.86282i | 0.679890 | − | 0.141731i | ||||
\(409\) | 3.43363 | − | 2.73823i | 0.169782 | − | 0.135397i | −0.534912 | − | 0.844908i | \(-0.679655\pi\) |
0.704695 | + | 0.709511i | \(0.251084\pi\) | |||||||
\(410\) | −2.22365 | − | 3.90808i | −0.109818 | − | 0.193006i | ||||
\(411\) | −18.2225 | −0.898849 | ||||||||
\(412\) | −27.8854 | + | 3.84472i | −1.37381 | + | 0.189416i | ||||
\(413\) | 0.990065 | − | 2.76412i | 0.0487179 | − | 0.136013i | ||||
\(414\) | 0.285778 | − | 1.81829i | 0.0140452 | − | 0.0893639i | ||||
\(415\) | −16.9636 | − | 13.5280i | −0.832711 | − | 0.664065i | ||||
\(416\) | 12.6429 | + | 19.8587i | 0.619871 | + | 0.973653i | ||||
\(417\) | −10.9152 | − | 5.25648i | −0.534519 | − | 0.257411i | ||||
\(418\) | 0.134910 | − | 0.858378i | 0.00659868 | − | 0.0419847i | ||||
\(419\) | −10.1665 | + | 12.7483i | −0.496664 | + | 0.622797i | −0.965473 | − | 0.260502i | \(-0.916112\pi\) |
0.468809 | + | 0.883300i | \(0.344683\pi\) | |||||||
\(420\) | −16.5465 | − | 12.7291i | −0.807385 | − | 0.621116i | ||||
\(421\) | −3.44855 | − | 4.32435i | −0.168072 | − | 0.210756i | 0.690661 | − | 0.723178i | \(-0.257320\pi\) |
−0.858733 | + | 0.512423i | \(0.828748\pi\) | |||||||
\(422\) | 28.5196 | − | 16.2273i | 1.38831 | − | 0.789935i | ||||
\(423\) | 8.09238 | 0.393465 | ||||||||
\(424\) | −11.1016 | − | 14.4733i | −0.539141 | − | 0.702887i | ||||
\(425\) | 51.0852 | − | 11.6599i | 2.47800 | − | 0.565587i | ||||
\(426\) | 5.66912 | − | 0.388978i | 0.274670 | − | 0.0188460i | ||||
\(427\) | −15.2364 | + | 1.60343i | −0.737340 | + | 0.0775954i | ||||
\(428\) | 34.4447 | + | 3.01772i | 1.66495 | + | 0.145867i | ||||
\(429\) | 1.26280 | + | 1.58350i | 0.0609684 | + | 0.0764520i | ||||
\(430\) | 46.8864 | + | 32.4007i | 2.26106 | + | 1.56250i | ||||
\(431\) | 26.8429 | − | 6.12673i | 1.29298 | − | 0.295114i | 0.479929 | − | 0.877307i | \(-0.340662\pi\) |
0.813050 | + | 0.582193i | \(0.197805\pi\) | |||||||
\(432\) | 0.198416 | + | 3.99508i | 0.00954631 | + | 0.192213i | ||||
\(433\) | 9.19233 | + | 2.09809i | 0.441755 | + | 0.100828i | 0.437613 | − | 0.899164i | \(-0.355824\pi\) |
0.00414277 | + | 0.999991i | \(0.498681\pi\) | |||||||
\(434\) | −2.12855 | − | 5.06614i | −0.102173 | − | 0.243183i | ||||
\(435\) | 23.7407 | − | 5.41866i | 1.13828 | − | 0.259805i | ||||
\(436\) | −2.57874 | − | 2.45384i | −0.123499 | − | 0.117518i | ||||
\(437\) | 1.28464 | + | 1.02446i | 0.0614525 | + | 0.0490067i | ||||
\(438\) | −5.98201 | − | 19.8356i | −0.285832 | − | 0.947781i | ||||
\(439\) | 21.0168 | − | 10.1212i | 1.00308 | − | 0.483057i | 0.141096 | − | 0.989996i | \(-0.454937\pi\) |
0.861982 | + | 0.506939i | \(0.169223\pi\) | |||||||
\(440\) | 5.42976 | + | 0.102534i | 0.258854 | + | 0.00488814i | ||||
\(441\) | 0.102878 | − | 6.99924i | 0.00489897 | − | 0.333297i | ||||
\(442\) | −14.4358 | − | 25.3709i | −0.686639 | − | 1.20677i | ||||
\(443\) | −9.55931 | − | 19.8501i | −0.454176 | − | 0.943107i | −0.994801 | − | 0.101843i | \(-0.967526\pi\) |
0.540624 | − | 0.841264i | \(-0.318188\pi\) | |||||||
\(444\) | −13.8172 | − | 13.1480i | −0.655737 | − | 0.623977i | ||||
\(445\) | 35.1147 | − | 44.0324i | 1.66460 | − | 2.08734i | ||||
\(446\) | −21.2327 | + | 6.40335i | −1.00540 | + | 0.303207i | ||||
\(447\) | −1.59320 | − | 6.98026i | −0.0753557 | − | 0.330155i | ||||
\(448\) | 10.4413 | + | 18.4114i | 0.493307 | + | 0.869856i | ||||
\(449\) | 9.07246 | − | 39.7490i | 0.428156 | − | 1.87587i | −0.0519288 | − | 0.998651i | \(-0.516537\pi\) |
0.480085 | − | 0.877222i | \(-0.340606\pi\) | |||||||
\(450\) | 1.02274 | + | 14.9059i | 0.0482125 | + | 0.702670i | ||||
\(451\) | 0.0872752 | + | 0.382378i | 0.00410963 | + | 0.0180055i | ||||
\(452\) | −2.65387 | + | 30.2917i | −0.124828 | + | 1.42480i | ||||
\(453\) | 14.3752 | − | 11.4638i | 0.675406 | − | 0.538619i | ||||
\(454\) | −6.18224 | − | 4.27222i | −0.290147 | − | 0.200505i | ||||
\(455\) | −14.6481 | + | 40.8952i | −0.686711 | + | 1.91720i | ||||
\(456\) | −3.18736 | − | 1.60978i | −0.149262 | − | 0.0753849i | ||||
\(457\) | 5.51778 | + | 24.1750i | 0.258111 | + | 1.13086i | 0.923269 | + | 0.384155i | \(0.125507\pi\) |
−0.665158 | + | 0.746703i | \(0.731636\pi\) | |||||||
\(458\) | −28.7650 | − | 11.4989i | −1.34410 | − | 0.537307i | ||||
\(459\) | − | 4.95976i | − | 0.231502i | ||||||
\(460\) | −5.24627 | + | 8.82828i | −0.244609 | + | 0.411621i | ||||
\(461\) | 22.7659 | − | 18.1552i | 1.06031 | − | 0.845572i | 0.0719082 | − | 0.997411i | \(-0.477091\pi\) |
0.988405 | + | 0.151840i | \(0.0485197\pi\) | |||||||
\(462\) | 1.06125 | + | 1.47977i | 0.0493737 | + | 0.0688452i | ||||
\(463\) | 16.0344 | + | 12.7870i | 0.745180 | + | 0.594262i | 0.920726 | − | 0.390210i | \(-0.127598\pi\) |
−0.175546 | + | 0.984471i | \(0.556169\pi\) | |||||||
\(464\) | −24.3132 | − | 4.29314i | −1.12871 | − | 0.199304i | ||||
\(465\) | −2.51397 | + | 5.22031i | −0.116583 | + | 0.242086i | ||||
\(466\) | −0.363708 | − | 5.30083i | −0.0168484 | − | 0.245556i | ||||
\(467\) | −1.47883 | + | 1.85440i | −0.0684323 | + | 0.0858113i | −0.814869 | − | 0.579645i | \(-0.803191\pi\) |
0.746437 | + | 0.665456i | \(0.231763\pi\) | |||||||
\(468\) | 7.78556 | − | 2.94306i | 0.359887 | − | 0.136043i | ||||
\(469\) | 8.21078 | − | 12.8567i | 0.379138 | − | 0.593666i | ||||
\(470\) | −41.9248 | − | 16.7596i | −1.93385 | − | 0.773061i | ||||
\(471\) | − | 2.30711i | − | 0.106306i | ||||||
\(472\) | 3.13824 | + | 0.0592619i | 0.144449 | + | 0.00272775i | ||||
\(473\) | −3.09957 | − | 3.88673i | −0.142518 | − | 0.178712i | ||||
\(474\) | −16.5252 | − | 18.0363i | −0.759029 | − | 0.828435i | ||||
\(475\) | −12.0169 | − | 5.78705i | −0.551374 | − | 0.265528i | ||||
\(476\) | −11.7983 | − | 23.4431i | −0.540773 | − | 1.07451i | ||||
\(477\) | −5.81040 | + | 2.79814i | −0.266040 | + | 0.128118i | ||||
\(478\) | −9.33109 | − | 3.73013i | −0.426794 | − | 0.170612i | ||||
\(479\) | −4.95680 | + | 2.38707i | −0.226482 | + | 0.109068i | −0.543684 | − | 0.839290i | \(-0.682971\pi\) |
0.317202 | + | 0.948358i | \(0.397257\pi\) | |||||||
\(480\) | 7.24597 | − | 21.1085i | 0.330732 | − | 0.963468i | ||||
\(481\) | −17.2199 | + | 35.7574i | −0.785158 | + | 1.63040i | ||||
\(482\) | −3.31684 | − | 10.9982i | −0.151078 | − | 0.500955i | ||||
\(483\) | −3.42455 | + | 0.360389i | −0.155822 | + | 0.0163983i | ||||
\(484\) | 20.4884 | + | 6.60340i | 0.931293 | + | 0.300155i | ||||
\(485\) | −3.15617 | + | 13.8281i | −0.143314 | + | 0.627901i | ||||
\(486\) | 1.39706 | + | 0.219575i | 0.0633721 | + | 0.00996011i | ||||
\(487\) | 9.95959 | + | 2.27321i | 0.451312 | + | 0.103009i | 0.442134 | − | 0.896949i | \(-0.354221\pi\) |
0.00917788 | + | 0.999958i | \(0.497079\pi\) | |||||||
\(488\) | −6.82641 | − | 14.8879i | −0.309017 | − | 0.673943i | ||||
\(489\) | 20.6737i | 0.934896i | ||||||||
\(490\) | −15.0286 | + | 36.0485i | −0.678924 | + | 1.62850i | ||||
\(491\) | 27.1990i | 1.22747i | 0.789510 | + | 0.613737i | \(0.210335\pi\) | ||||
−0.789510 | + | 0.613737i | \(0.789665\pi\) | |||||||
\(492\) | 1.60564 | + | 0.140671i | 0.0723879 | + | 0.00634195i | ||||
\(493\) | 29.8457 | + | 6.81209i | 1.34418 | + | 0.306801i | ||||
\(494\) | −1.15363 | + | 7.34007i | −0.0519043 | + | 0.330245i | ||||
\(495\) | 0.427252 | − | 1.87191i | 0.0192036 | − | 0.0841363i | ||||
\(496\) | 4.40557 | − | 3.88604i | 0.197816 | − | 0.174488i | ||||
\(497\) | −3.43733 | − | 10.0599i | −0.154185 | − | 0.451246i | ||||
\(498\) | 7.44638 | − | 2.24568i | 0.333680 | − | 0.100631i | ||||
\(499\) | −17.7260 | + | 36.8083i | −0.793523 | + | 1.64777i | −0.0321234 | + | 0.999484i | \(0.510227\pi\) |
−0.761399 | + | 0.648283i | \(0.775487\pi\) | |||||||
\(500\) | 13.4695 | − | 41.7920i | 0.602375 | − | 1.86900i | ||||
\(501\) | 8.63925 | − | 4.16044i | 0.385973 | − | 0.185875i | ||||
\(502\) | −1.06033 | + | 2.65248i | −0.0473250 | + | 0.118386i | ||||
\(503\) | −16.8855 | + | 8.13161i | −0.752885 | + | 0.362570i | −0.770639 | − | 0.637272i | \(-0.780063\pi\) |
0.0177537 | + | 0.999842i | \(0.494349\pi\) | |||||||
\(504\) | 7.12577 | − | 2.28548i | 0.317407 | − | 0.101803i | ||||
\(505\) | 33.5502 | + | 16.1569i | 1.49296 | + | 0.718973i | ||||
\(506\) | 0.660476 | − | 0.605141i | 0.0293617 | − | 0.0269018i | ||||
\(507\) | −2.69293 | − | 3.37682i | −0.119597 | − | 0.149970i | ||||
\(508\) | −5.92605 | − | 3.52160i | −0.262926 | − | 0.156246i | ||||
\(509\) | 12.8302i | 0.568688i | 0.958722 | + | 0.284344i | \(0.0917757\pi\) | ||||
−0.958722 | + | 0.284344i | \(0.908224\pi\) | |||||||
\(510\) | −10.2718 | + | 25.6954i | −0.454843 | + | 1.13781i | ||||
\(511\) | −32.9695 | + | 20.3797i | −1.45849 | + | 0.901546i | ||||
\(512\) | −15.0869 | + | 16.8637i | −0.666753 | + | 0.745279i | ||||
\(513\) | −0.787138 | + | 0.987039i | −0.0347530 | + | 0.0435788i | ||||
\(514\) | 9.95495 | − | 0.683043i | 0.439094 | − | 0.0301277i | ||||
\(515\) | 24.0925 | − | 50.0285i | 1.06164 | − | 2.20452i | ||||
\(516\) | −19.1098 | + | 7.22381i | −0.841264 | + | 0.318011i | ||||
\(517\) | 3.07915 | + | 2.45554i | 0.135421 | + | 0.107994i | ||||
\(518\) | −17.1022 | + | 31.3172i | −0.751428 | + | 1.37600i | ||||
\(519\) | −14.8636 | + | 11.8533i | −0.652439 | + | 0.520303i | ||||
\(520\) | −46.4304 | − | 0.876782i | −2.03611 | − | 0.0384494i | ||||
\(521\) | − | 21.6112i | − | 0.946802i | −0.880847 | − | 0.473401i | \(-0.843026\pi\) | ||
0.880847 | − | 0.473401i | \(-0.156974\pi\) | |||||||
\(522\) | −3.24014 | + | 8.10536i | −0.141817 | + | 0.354762i | ||||
\(523\) | 2.90380 | + | 12.7224i | 0.126974 | + | 0.556310i | 0.997893 | + | 0.0648831i | \(0.0206674\pi\) |
−0.870919 | + | 0.491427i | \(0.836475\pi\) | |||||||
\(524\) | −1.64802 | + | 1.09347i | −0.0719940 | + | 0.0477684i | ||||
\(525\) | 26.4505 | − | 9.03780i | 1.15439 | − | 0.394442i | ||||
\(526\) | 19.8507 | − | 28.7255i | 0.865532 | − | 1.25249i | ||||
\(527\) | −5.69493 | + | 4.54155i | −0.248075 | + | 0.197833i | ||||
\(528\) | −1.13676 | + | 1.58033i | −0.0494712 | + | 0.0687752i | ||||
\(529\) | −4.74105 | − | 20.7719i | −0.206133 | − | 0.903126i | ||||
\(530\) | 35.8974 | − | 2.46304i | 1.55929 | − | 0.106988i | ||||
\(531\) | 0.246939 | − | 1.08191i | 0.0107162 | − | 0.0469509i | ||||
\(532\) | −1.37256 | + | 6.53784i | −0.0595081 | + | 0.283451i | ||||
\(533\) | −0.746299 | − | 3.26975i | −0.0323258 | − | 0.141629i | ||||
\(534\) | 5.82911 | + | 19.3286i | 0.252250 | + | 0.836430i | ||||
\(535\) | −42.5260 | + | 53.3259i | −1.83856 | + | 2.30548i | ||||
\(536\) | 15.8279 | + | 3.92844i | 0.683661 | + | 0.169683i | ||||
\(537\) | −1.31720 | − | 2.73520i | −0.0568416 | − | 0.118033i | ||||
\(538\) | −9.59142 | + | 5.45741i | −0.413515 | + | 0.235286i | ||||
\(539\) | 2.16299 | − | 2.63199i | 0.0931664 | − | 0.113368i | ||||
\(540\) | −6.78313 | − | 4.03093i | −0.291900 | − | 0.173464i | ||||
\(541\) | −10.6254 | + | 5.11694i | −0.456823 | + | 0.219994i | −0.648121 | − | 0.761538i | \(-0.724445\pi\) |
0.191298 | + | 0.981532i | \(0.438730\pi\) | |||||||
\(542\) | −35.6202 | + | 10.7423i | −1.53002 | + | 0.461423i | ||||
\(543\) | −10.9836 | − | 8.75909i | −0.471349 | − | 0.375889i | ||||
\(544\) | 19.7210 | − | 19.9564i | 0.845532 | − | 0.855621i | ||||
\(545\) | 6.84580 | − | 1.56251i | 0.293242 | − | 0.0669305i | ||||
\(546\) | −9.07482 | − | 12.6537i | −0.388366 | − | 0.541527i | ||||
\(547\) | 4.06595 | + | 0.928027i | 0.173848 | + | 0.0396796i | 0.308558 | − | 0.951205i | \(-0.400153\pi\) |
−0.134711 | + | 0.990885i | \(0.543011\pi\) | |||||||
\(548\) | −30.3683 | + | 20.1495i | −1.29727 | + | 0.860745i | ||||
\(549\) | −5.64542 | + | 1.28853i | −0.240941 | + | 0.0549932i | ||||
\(550\) | −4.13386 | + | 5.98202i | −0.176268 | + | 0.255074i | ||||
\(551\) | −4.85847 | − | 6.09233i | −0.206978 | − | 0.259542i | ||||
\(552\) | −1.53431 | − | 3.34622i | −0.0653047 | − | 0.142425i | ||||
\(553\) | −24.6322 | + | 38.5698i | −1.04747 | + | 1.64015i | ||||
\(554\) | −1.30590 | − | 19.0327i | −0.0554822 | − | 0.808621i | ||||
\(555\) | 36.6807 | − | 8.37213i | 1.55701 | − | 0.355377i | ||||
\(556\) | −24.0028 | + | 3.30941i | −1.01795 | + | 0.140350i | ||||
\(557\) | −4.99764 | −0.211757 | −0.105878 | − | 0.994379i | \(-0.533765\pi\) | ||||
−0.105878 | + | 0.994379i | \(0.533765\pi\) | |||||||
\(558\) | −1.02714 | − | 1.80521i | −0.0434824 | − | 0.0764205i | ||||
\(559\) | 26.5047 | + | 33.2358i | 1.12103 | + | 1.40573i | ||||
\(560\) | −41.6503 | − | 2.91711i | −1.76005 | − | 0.123271i | ||||
\(561\) | 1.50498 | − | 1.88719i | 0.0635404 | − | 0.0796771i | ||||
\(562\) | −4.17551 | − | 0.656259i | −0.176133 | − | 0.0276826i | ||||
\(563\) | −23.1339 | − | 11.1407i | −0.974980 | − | 0.469525i | −0.122604 | − | 0.992456i | \(-0.539125\pi\) |
−0.852376 | + | 0.522930i | \(0.824839\pi\) | |||||||
\(564\) | 13.4862 | − | 8.94815i | 0.567870 | − | 0.376785i | ||||
\(565\) | −46.8964 | − | 37.3986i | −1.97294 | − | 1.57337i | ||||
\(566\) | −17.3283 | − | 2.72347i | −0.728364 | − | 0.114476i | ||||
\(567\) | −0.276902 | − | 2.63122i | −0.0116288 | − | 0.110501i | ||||
\(568\) | 9.01764 | − | 6.91688i | 0.378372 | − | 0.290226i | ||||
\(569\) | 41.5754 | 1.74293 | 0.871465 | − | 0.490458i | \(-0.163170\pi\) | ||||
0.871465 | + | 0.490458i | \(0.163170\pi\) | |||||||
\(570\) | 6.12217 | − | 3.48345i | 0.256430 | − | 0.145906i | ||||
\(571\) | −21.8240 | + | 17.4040i | −0.913305 | + | 0.728337i | −0.962737 | − | 0.270441i | \(-0.912831\pi\) |
0.0494312 | + | 0.998778i | \(0.484259\pi\) | |||||||
\(572\) | 3.85544 | + | 1.24260i | 0.161204 | + | 0.0519559i | ||||
\(573\) | −5.70072 | + | 11.8377i | −0.238151 | + | 0.494526i | ||||
\(574\) | −0.520124 | − | 2.97019i | −0.0217096 | − | 0.123973i | ||||
\(575\) | −5.96598 | − | 12.3885i | −0.248798 | − | 0.516635i | ||||
\(576\) | 4.74822 | + | 6.43851i | 0.197843 | + | 0.268271i | ||||
\(577\) | −10.9482 | − | 22.7343i | −0.455781 | − | 0.946439i | −0.994577 | − | 0.104003i | \(-0.966835\pi\) |
0.538796 | − | 0.842436i | \(-0.318879\pi\) | |||||||
\(578\) | −7.92390 | + | 7.26003i | −0.329591 | + | 0.301978i | ||||
\(579\) | 4.92801 | + | 2.37321i | 0.204801 | + | 0.0986271i | ||||
\(580\) | 33.5729 | − | 35.2817i | 1.39404 | − | 1.46499i | ||||
\(581\) | −7.65066 | − | 12.3769i | −0.317403 | − | 0.513482i | ||||
\(582\) | −3.43469 | − | 3.74876i | −0.142372 | − | 0.155391i | ||||
\(583\) | −3.05992 | − | 0.698407i | −0.126729 | − | 0.0289251i | ||||
\(584\) | −31.9024 | − | 26.4420i | −1.32013 | − | 1.09418i | ||||
\(585\) | −3.65347 | + | 16.0069i | −0.151053 | + | 0.661804i | ||||
\(586\) | 5.58161 | − | 8.07702i | 0.230574 | − | 0.333659i | ||||
\(587\) | 39.8734 | 1.64575 | 0.822875 | − | 0.568223i | \(-0.192369\pi\) | ||||
0.822875 | + | 0.568223i | \(0.192369\pi\) | |||||||
\(588\) | −7.56797 | − | 11.7782i | −0.312098 | − | 0.485725i | ||||
\(589\) | 1.85411 | 0.0763973 | ||||||||
\(590\) | −3.52001 | + | 5.09372i | −0.144916 | + | 0.209705i | ||||
\(591\) | 1.20616 | − | 5.28455i | 0.0496150 | − | 0.217378i | ||||
\(592\) | −37.5652 | − | 6.63314i | −1.54392 | − | 0.272620i | ||||
\(593\) | 7.31927 | + | 1.67058i | 0.300566 | + | 0.0686023i | 0.370144 | − | 0.928974i | \(-0.379308\pi\) |
−0.0695781 | + | 0.997577i | \(0.522165\pi\) | |||||||
\(594\) | 0.464955 | + | 0.507471i | 0.0190773 | + | 0.0208218i | ||||
\(595\) | 51.4009 | + | 6.17434i | 2.10723 | + | 0.253123i | ||||
\(596\) | −10.3735 | − | 9.87111i | −0.424916 | − | 0.404337i | ||||
\(597\) | −16.9887 | − | 8.18133i | −0.695301 | − | 0.334840i | ||||
\(598\) | −5.64779 | + | 5.17462i | −0.230955 | + | 0.211606i | ||||
\(599\) | −6.77195 | − | 14.0621i | −0.276694 | − | 0.574562i | 0.715593 | − | 0.698517i | \(-0.246156\pi\) |
−0.992288 | + | 0.123955i | \(0.960442\pi\) | |||||||
\(600\) | 18.1866 | + | 23.7102i | 0.742465 | + | 0.967963i | ||||
\(601\) | 5.39703 | + | 11.2070i | 0.220149 | + | 0.457145i | 0.981567 | − | 0.191116i | \(-0.0612107\pi\) |
−0.761418 | + | 0.648261i | \(0.775496\pi\) | |||||||
\(602\) | 22.2744 | + | 31.0588i | 0.907836 | + | 1.26586i | ||||
\(603\) | 2.50168 | − | 5.19480i | 0.101876 | − | 0.211549i | ||||
\(604\) | 11.2805 | − | 35.0002i | 0.458998 | − | 1.42414i | ||||
\(605\) | −33.1990 | + | 26.4753i | −1.34973 | + | 1.07637i | ||||
\(606\) | −11.6018 | + | 6.60129i | −0.471291 | + | 0.268159i | ||||
\(607\) | −3.42482 | −0.139009 | −0.0695047 | − | 0.997582i | \(-0.522142\pi\) | ||||
−0.0695047 | + | 0.997582i | \(0.522142\pi\) | |||||||
\(608\) | −7.09184 | + | 0.841681i | −0.287612 | + | 0.0341347i | ||||
\(609\) | 16.2139 | + | 1.94763i | 0.657020 | + | 0.0789221i | ||||
\(610\) | 31.9163 | + | 5.01624i | 1.29225 | + | 0.203102i | ||||
\(611\) | −26.3301 | − | 20.9975i | −1.06520 | − | 0.849470i | ||||
\(612\) | −5.48426 | − | 8.26558i | −0.221688 | − | 0.334116i | ||||
\(613\) | −4.55139 | − | 2.19183i | −0.183829 | − | 0.0885274i | 0.339706 | − | 0.940532i | \(-0.389673\pi\) |
−0.523534 | + | 0.852004i | \(0.675387\pi\) | |||||||
\(614\) | −15.3231 | − | 2.40831i | −0.618389 | − | 0.0971914i | ||||
\(615\) | −1.98235 | + | 2.48579i | −0.0799361 | + | 0.100237i | ||||
\(616\) | 3.40486 | + | 1.29261i | 0.137186 | + | 0.0520807i | ||||
\(617\) | 1.35133 | + | 1.69452i | 0.0544025 | + | 0.0682186i | 0.808288 | − | 0.588787i | \(-0.200394\pi\) |
−0.753886 | + | 0.657005i | \(0.771823\pi\) | |||||||
\(618\) | 9.84355 | + | 17.3001i | 0.395966 | + | 0.695912i | ||||
\(619\) | 45.4088 | 1.82513 | 0.912566 | − | 0.408930i | \(-0.134098\pi\) | ||||
0.912566 | + | 0.408930i | \(0.134098\pi\) | |||||||
\(620\) | 1.58276 | + | 11.4796i | 0.0635652 | + | 0.461032i | ||||
\(621\) | −1.26887 | + | 0.289612i | −0.0509181 | + | 0.0116217i | ||||
\(622\) | −0.700138 | − | 10.2041i | −0.0280730 | − | 0.409148i | ||||
\(623\) | 32.1268 | − | 19.8588i | 1.28713 | − | 0.795627i | ||||
\(624\) | 9.72056 | − | 13.5136i | 0.389134 | − | 0.540976i | ||||
\(625\) | 21.0686 | + | 26.4192i | 0.842743 | + | 1.05677i | ||||
\(626\) | −6.24962 | + | 9.04369i | −0.249785 | + | 0.361459i | ||||
\(627\) | −0.599011 | + | 0.136720i | −0.0239222 | + | 0.00546009i | ||||
\(628\) | −2.55108 | − | 3.84486i | −0.101799 | − | 0.153426i | ||||
\(629\) | 46.1133 | + | 10.5251i | 1.83866 | + | 0.419662i | ||||
\(630\) | −4.01477 | + | 14.2053i | −0.159952 | + | 0.565951i | ||||
\(631\) | −22.9974 | + | 5.24901i | −0.915512 | + | 0.208960i | −0.654224 | − | 0.756301i | \(-0.727005\pi\) |
−0.261288 | + | 0.965261i | \(0.584147\pi\) | |||||||
\(632\) | −47.4834 | − | 11.7852i | −1.88879 | − | 0.468792i | ||||
\(633\) | −18.1403 | − | 14.4664i | −0.721012 | − | 0.574988i | ||||
\(634\) | −16.1969 | + | 4.88467i | −0.643262 | + | 0.193995i | ||||
\(635\) | 12.2515 | − | 5.90001i | 0.486186 | − | 0.234135i | ||||
\(636\) | −6.58915 | + | 11.0880i | −0.261277 | + | 0.439669i | ||||
\(637\) | −18.4959 | + | 22.5064i | −0.732834 | + | 0.891737i | ||||
\(638\) | −3.69235 | + | 2.10090i | −0.146181 | + | 0.0831756i | ||||
\(639\) | −1.74339 | − | 3.62018i | −0.0689674 | − | 0.143212i | ||||
\(640\) | −11.2652 | − | 43.1902i | −0.445295 | − | 1.70724i | ||||
\(641\) | 9.17682 | − | 11.5074i | 0.362463 | − | 0.454514i | −0.566843 | − | 0.823826i | \(-0.691835\pi\) |
0.929305 | + | 0.369312i | \(0.120407\pi\) | |||||||
\(642\) | −7.05939 | − | 23.4081i | −0.278612 | − | 0.923842i | ||||
\(643\) | −4.95656 | − | 21.7161i | −0.195468 | − | 0.856400i | −0.973593 | − | 0.228291i | \(-0.926686\pi\) |
0.778125 | − | 0.628109i | \(-0.216171\pi\) | |||||||
\(644\) | −5.30861 | + | 4.38729i | −0.209188 | + | 0.172884i | ||||
\(645\) | 8.96754 | − | 39.2894i | 0.353097 | − | 1.54702i | ||||
\(646\) | 8.83440 | − | 0.606158i | 0.347585 | − | 0.0238490i | ||||
\(647\) | −9.27536 | − | 40.6380i | −0.364652 | − | 1.59765i | −0.741224 | − | 0.671258i | \(-0.765754\pi\) |
0.376572 | − | 0.926387i | \(-0.377103\pi\) | |||||||
\(648\) | 2.57104 | − | 1.17888i | 0.101000 | − | 0.0463106i | ||||
\(649\) | 0.422254 | − | 0.336736i | 0.0165749 | − | 0.0132180i | ||||
\(650\) | 35.3490 | − | 51.1528i | 1.38650 | − | 2.00638i | ||||
\(651\) | −2.76768 | + | 2.72730i | −0.108474 | + | 0.106891i | ||||
\(652\) | 22.8599 | + | 34.4533i | 0.895264 | + | 1.34929i | ||||
\(653\) | −0.444252 | − | 1.94640i | −0.0173849 | − | 0.0761683i | 0.965491 | − | 0.260435i | \(-0.0838661\pi\) |
−0.982876 | + | 0.184267i | \(0.941009\pi\) | |||||||
\(654\) | −0.934316 | + | 2.33724i | −0.0365346 | + | 0.0913931i | ||||
\(655\) | − | 3.90141i | − | 0.152441i | ||||||
\(656\) | 2.83139 | − | 1.54101i | 0.110547 | − | 0.0601662i | ||||
\(657\) | −11.4537 | + | 9.13402i | −0.446851 | + | 0.356352i | ||||
\(658\) | −22.6790 | − | 20.0618i | −0.884119 | − | 0.782091i | ||||
\(659\) | −0.189703 | − | 0.151283i | −0.00738980 | − | 0.00589317i | 0.619788 | − | 0.784769i | \(-0.287219\pi\) |
−0.627178 | + | 0.778876i | \(0.715790\pi\) | |||||||
\(660\) | −1.35784 | − | 3.59203i | −0.0528539 | − | 0.139820i | ||||
\(661\) | 6.24063 | − | 12.9588i | 0.242732 | − | 0.504039i | −0.743637 | − | 0.668583i | \(-0.766901\pi\) |
0.986370 | + | 0.164544i | \(0.0526154\pi\) | |||||||
\(662\) | 25.6490 | − | 1.75986i | 0.996877 | − | 0.0683991i | ||||
\(663\) | −12.8692 | + | 16.1375i | −0.499800 | + | 0.626729i | ||||
\(664\) | 9.92645 | − | 11.9763i | 0.385221 | − | 0.464772i | ||||
\(665\) | −9.24937 | − | 9.38632i | −0.358675 | − | 0.363986i | ||||
\(666\) | −5.00619 | + | 12.5232i | −0.193986 | + | 0.485265i | ||||
\(667\) | − | 8.03332i | − | 0.311051i | ||||||
\(668\) | 9.79714 | − | 16.4863i | 0.379063 | − | 0.637876i | ||||
\(669\) | 9.77737 | + | 12.2604i | 0.378015 | + | 0.474016i | ||||
\(670\) | −23.7193 | + | 21.7321i | −0.916355 | + | 0.839583i | ||||
\(671\) | −2.53907 | − | 1.22275i | −0.0980198 | − | 0.0472039i | ||||
\(672\) | 9.34812 | − | 11.6881i | 0.360612 | − | 0.450880i | ||||
\(673\) | −17.6721 | + | 8.51045i | −0.681211 | + | 0.328054i | −0.742290 | − | 0.670079i | \(-0.766260\pi\) |
0.0610789 | + | 0.998133i | \(0.480546\pi\) | |||||||
\(674\) | −16.3050 | + | 40.7878i | −0.628046 | + | 1.57109i | ||||
\(675\) | 9.51858 | − | 4.58391i | 0.366370 | − | 0.176435i | ||||
\(676\) | −8.22177 | − | 2.64987i | −0.316222 | − | 0.101918i | ||||
\(677\) | 12.5278 | − | 26.0143i | 0.481484 | − | 0.999811i | −0.508818 | − | 0.860874i | \(-0.669917\pi\) |
0.990301 | − | 0.138937i | \(-0.0443685\pi\) | |||||||
\(678\) | 20.5857 | − | 6.20824i | 0.790590 | − | 0.238426i | ||||
\(679\) | −5.11968 | + | 8.01654i | −0.196475 | + | 0.307646i | ||||
\(680\) | 11.2945 | + | 54.1802i | 0.433123 | + | 2.07772i | ||||
\(681\) | −1.18242 | + | 5.18052i | −0.0453105 | + | 0.198518i | ||||
\(682\) | 0.156942 | − | 0.998555i | 0.00600961 | − | 0.0382366i | ||||
\(683\) | −36.7231 | − | 8.38181i | −1.40517 | − | 0.320721i | −0.548313 | − | 0.836273i | \(-0.684730\pi\) |
−0.856858 | + | 0.515552i | \(0.827587\pi\) | |||||||
\(684\) | −0.220368 | + | 2.51531i | −0.00842597 | + | 0.0961751i | ||||
\(685\) | − | 71.8919i | − | 2.74685i | ||||||
\(686\) | −17.6401 | + | 19.3604i | −0.673504 | + | 0.739184i | ||||
\(687\) | 21.9049i | 0.835724i | ||||||||
\(688\) | −23.8594 | + | 33.1694i | −0.909630 | + | 1.26457i | ||||
\(689\) | 26.1657 | + | 5.97214i | 0.996832 | + | 0.227520i | ||||
\(690\) | 7.17355 | + | 1.12746i | 0.273092 | + | 0.0429216i | ||||
\(691\) | −10.6364 | + | 46.6012i | −0.404629 | + | 1.77279i | 0.203622 | + | 0.979050i | \(0.434729\pi\) |
−0.608251 | + | 0.793745i | \(0.708129\pi\) | |||||||
\(692\) | −11.6638 | + | 36.1893i | −0.443390 | + | 1.37571i | ||||
\(693\) | 0.693053 | − | 1.08520i | 0.0263269 | − | 0.0412234i | ||||
\(694\) | −11.9547 | − | 39.6402i | −0.453793 | − | 1.50472i | ||||
\(695\) | 20.7380 | − | 43.0629i | 0.786637 | − | 1.63347i | ||||
\(696\) | 3.56272 | + | 17.0906i | 0.135045 | + | 0.647817i | ||||
\(697\) | −3.60122 | + | 1.73426i | −0.136406 | + | 0.0656896i | ||||
\(698\) | −2.01482 | − | 0.805430i | −0.0762622 | − | 0.0304860i | ||||
\(699\) | −3.38500 | + | 1.63013i | −0.128033 | + | 0.0616572i | ||||
\(700\) | 34.0869 | − | 44.3093i | 1.28836 | − | 1.67474i | ||||
\(701\) | 15.9593 | + | 7.68557i | 0.602773 | + | 0.290280i | 0.710275 | − | 0.703925i | \(-0.248571\pi\) |
−0.107502 | + | 0.994205i | \(0.534285\pi\) | |||||||
\(702\) | −3.97587 | − | 4.33943i | −0.150060 | − | 0.163781i | ||||
\(703\) | −7.50661 | − | 9.41299i | −0.283117 | − | 0.355018i | ||||
\(704\) | −0.146993 | + | 3.89064i | −0.00553999 | + | 0.146634i | ||||
\(705\) | 31.9263i | 1.20241i | ||||||||
\(706\) | 43.4812 | + | 17.3817i | 1.63644 | + | 0.654170i | ||||
\(707\) | 17.5280 | + | 17.7875i | 0.659207 | + | 0.668968i | ||||
\(708\) | −0.784792 | − | 2.07609i | −0.0294943 | − | 0.0780241i | ||||
\(709\) | −4.07602 | + | 5.11117i | −0.153078 | + | 0.191954i | −0.852457 | − | 0.522797i | \(-0.824889\pi\) |
0.699379 | + | 0.714751i | \(0.253460\pi\) | |||||||
\(710\) | 1.53461 | + | 22.3660i | 0.0575927 | + | 0.839380i | ||||
\(711\) | −7.50501 | + | 15.5843i | −0.281460 | + | 0.584457i | ||||
\(712\) | 31.0870 | + | 25.7661i | 1.16503 | + | 0.965625i | ||||
\(713\) | 1.49442 | + | 1.19176i | 0.0559666 | + | 0.0446318i | ||||
\(714\) | −12.2957 | + | 13.8998i | −0.460156 | + | 0.520186i | ||||
\(715\) | −6.24726 | + | 4.98202i | −0.233634 | + | 0.186317i | ||||
\(716\) | −5.21961 | − | 3.10179i | −0.195066 | − | 0.115919i | ||||
\(717\) | 7.10574i | 0.265369i | ||||||||
\(718\) | 18.1831 | + | 7.26875i | 0.678588 | + | 0.271267i | ||||
\(719\) | 3.52189 | + | 15.4304i | 0.131344 | + | 0.575458i | 0.997175 | + | 0.0751195i | \(0.0239338\pi\) |
−0.865830 | + | 0.500338i | \(0.833209\pi\) | |||||||
\(720\) | −15.7615 | + | 0.782798i | −0.587396 | + | 0.0291731i | ||||
\(721\) | 26.5239 | − | 26.1370i | 0.987803 | − | 0.973391i | ||||
\(722\) | 20.2510 | + | 13.9944i | 0.753666 | + | 0.520819i | ||||
\(723\) | −6.35072 | + | 5.06453i | −0.236186 | + | 0.188352i | ||||
\(724\) | −27.9898 | − | 2.45220i | −1.04023 | − | 0.0911354i | ||||
\(725\) | 14.5105 | + | 63.5746i | 0.538906 | + | 2.36110i | ||||
\(726\) | −1.04194 | − | 15.1857i | −0.0386700 | − | 0.563594i | ||||
\(727\) | 4.18546 | − | 18.3377i | 0.155230 | − | 0.680108i | −0.836085 | − | 0.548600i | \(-0.815161\pi\) |
0.991315 | − | 0.131508i | \(-0.0419818\pi\) | |||||||
\(728\) | −29.1152 | − | 11.0532i | −1.07908 | − | 0.409659i | ||||
\(729\) | −0.222521 | − | 0.974928i | −0.00824152 | − | 0.0361084i | ||||
\(730\) | 78.2559 | − | 23.6004i | 2.89638 | − | 0.873490i | ||||
\(731\) | 31.5879 | − | 39.6100i | 1.16832 | − | 1.46503i | ||||
\(732\) | −7.98346 | + | 8.38980i | −0.295077 | + | 0.310096i | ||||
\(733\) | −3.82154 | − | 7.93551i | −0.141152 | − | 0.293105i | 0.818394 | − | 0.574658i | \(-0.194865\pi\) |
−0.959546 | + | 0.281553i | \(0.909150\pi\) | |||||||
\(734\) | −18.9918 | − | 33.3782i | −0.701002 | − | 1.23201i | ||||
\(735\) | 27.6136 | + | 0.405879i | 1.01854 | + | 0.0149711i | ||||
\(736\) | −6.25706 | − | 3.88001i | −0.230638 | − | 0.143019i | ||||
\(737\) | 2.52819 | − | 1.21751i | 0.0931272 | − | 0.0448477i | ||||
\(738\) | −0.329074 | − | 1.09117i | −0.0121134 | − | 0.0401664i | ||||
\(739\) | −8.42770 | − | 6.72086i | −0.310018 | − | 0.247231i | 0.456104 | − | 0.889927i | \(-0.349245\pi\) |
−0.766122 | + | 0.642696i | \(0.777816\pi\) | |||||||
\(740\) | 51.8719 | − | 54.5121i | 1.90685 | − | 2.00391i | ||||
\(741\) | 5.12220 | − | 1.16911i | 0.188169 | − | 0.0429483i | ||||
\(742\) | 23.2206 | + | 6.56274i | 0.852454 | + | 0.240926i | ||||
\(743\) | 36.8536 | + | 8.41160i | 1.35203 | + | 0.308592i | 0.836352 | − | 0.548192i | \(-0.184684\pi\) |
0.515676 | + | 0.856784i | \(0.327541\pi\) | |||||||
\(744\) | −3.70787 | − | 1.87266i | −0.135937 | − | 0.0686552i | ||||
\(745\) | 27.5387 | − | 6.28553i | 1.00894 | − | 0.230284i | ||||
\(746\) | −9.44541 | − | 6.52723i | −0.345821 | − | 0.238979i | ||||
\(747\) | −3.42896 | − | 4.29978i | −0.125459 | − | 0.157321i | ||||
\(748\) | 0.421336 | − | 4.80919i | 0.0154056 | − | 0.175841i | ||||
\(749\) | −38.9075 | + | 24.0502i | −1.42165 | + | 0.878775i | ||||
\(750\) | −30.9755 | + | 2.12533i | −1.13107 | + | 0.0776062i | ||||
\(751\) | 5.22211 | − | 1.19191i | 0.190558 | − | 0.0434935i | −0.126177 | − | 0.992008i | \(-0.540271\pi\) |
0.316735 | + | 0.948514i | \(0.397414\pi\) | |||||||
\(752\) | 12.5807 | − | 29.8247i | 0.458770 | − | 1.08759i | ||||
\(753\) | 2.01989 | 0.0736090 | ||||||||
\(754\) | 31.5736 | − | 17.9650i | 1.14984 | − | 0.654248i | ||||
\(755\) | 45.2275 | + | 56.7135i | 1.64600 | + | 2.06401i | ||||
\(756\) | −3.37094 | − | 4.07882i | −0.122600 | − | 0.148345i | ||||
\(757\) | −11.6979 | + | 14.6687i | −0.425167 | + | 0.533143i | −0.947567 | − | 0.319558i | \(-0.896465\pi\) |
0.522400 | + | 0.852701i | \(0.325037\pi\) | |||||||
\(758\) | −0.744748 | + | 4.73852i | −0.0270505 | + | 0.172111i | ||||
\(759\) | −0.570686 | − | 0.274828i | −0.0207146 | − | 0.00997561i | ||||
\(760\) | 6.35095 | − | 12.5749i | 0.230373 | − | 0.456138i | ||||
\(761\) | −32.3377 | − | 25.7884i | −1.17224 | − | 0.934830i | −0.173490 | − | 0.984836i | \(-0.555505\pi\) |
−0.998749 | + | 0.0500060i | \(0.984076\pi\) | |||||||
\(762\) | −0.756815 | + | 4.81530i | −0.0274165 | + | 0.174440i | ||||
\(763\) | 4.67539 | + | 0.561613i | 0.169260 | + | 0.0203318i | ||||
\(764\) | 3.58910 | + | 26.0314i | 0.129849 | + | 0.941782i | ||||
\(765\) | 19.5674 | 0.707460 | ||||||||
\(766\) | 2.31725 | + | 4.07258i | 0.0837258 | + | 0.147148i | ||||
\(767\) | −3.61073 | + | 2.87946i | −0.130376 | + | 0.103971i | ||||
\(768\) | 15.0324 | + | 5.47960i | 0.542436 | + | 0.197728i | ||||
\(769\) | −19.7651 | + | 41.0426i | −0.712746 | + | 1.48003i | 0.157553 | + | 0.987511i | \(0.449639\pi\) |
−0.870300 | + | 0.492523i | \(0.836075\pi\) | |||||||
\(770\) | −5.83804 | + | 4.18686i | −0.210388 | + | 0.150884i | ||||
\(771\) | −3.06138 | − | 6.35702i | −0.110253 | − | 0.228943i | ||||
\(772\) | 10.8368 | − | 1.49414i | 0.390027 | − | 0.0537752i | ||||
\(773\) | 14.5155 | + | 30.1418i | 0.522087 | + | 1.08413i | 0.980705 | + | 0.195492i | \(0.0626303\pi\) |
−0.458618 | + | 0.888633i | \(0.651655\pi\) | |||||||
\(774\) | 9.75888 | + | 10.6512i | 0.350776 | + | 0.382851i | ||||
\(775\) | −13.9793 | − | 6.73209i | −0.502152 | − | 0.241824i | ||||
\(776\) | −9.86920 | − | 2.44950i | −0.354283 | − | 0.0879321i | ||||
\(777\) | 25.0514 | + | 3.00920i | 0.898713 | + | 0.107954i | ||||
\(778\) | 14.3156 | − | 13.1162i | 0.513239 | − | 0.470240i | ||||
\(779\) | 0.991911 | + | 0.226397i | 0.0355389 | + | 0.00811152i | ||||
\(780\) | 11.6110 | + | 30.7158i | 0.415742 | + | 1.09980i | ||||
\(781\) | 0.435144 | − | 1.90649i | 0.0155707 | − | 0.0682196i | ||||
\(782\) | 7.51019 | + | 5.18990i | 0.268564 | + | 0.185590i | ||||
\(783\) | 6.17233 | 0.220581 | ||||||||
\(784\) | −25.6360 | − | 11.2604i | −0.915571 | − | 0.402157i | ||||
\(785\) | 9.10206 | 0.324866 | ||||||||
\(786\) | 1.15052 | + | 0.795063i | 0.0410376 | + | 0.0283590i | ||||
\(787\) | 5.97033 | − | 26.1577i | 0.212819 | − | 0.932422i | −0.749822 | − | 0.661640i | \(-0.769861\pi\) |
0.962641 | − | 0.270782i | \(-0.0872821\pi\) | |||||||
\(788\) | −3.83329 | − | 10.1406i | −0.136555 | − | 0.361243i | ||||
\(789\) | −24.0711 | − | 5.49407i | −0.856954 | − | 0.195594i | ||||
\(790\) | 71.1574 | − | 65.1958i | 2.53167 | − | 2.31956i | ||||
\(791\) | −21.1505 | − | 34.2164i | −0.752023 | − | 1.21659i | ||||
\(792\) | 1.33600 | + | 0.331590i | 0.0474726 | + | 0.0117826i | ||||
\(793\) | 21.7118 | + | 10.4559i | 0.771010 | + | 0.371299i | ||||
\(794\) | 13.5885 | + | 14.8310i | 0.482236 | + | 0.526332i | ||||
\(795\) | −11.0393 | − | 22.9234i | −0.391524 | − | 0.813008i | ||||
\(796\) | −37.3587 | + | 5.15086i | −1.32414 | + | 0.182567i | ||||
\(797\) | −15.1041 | − | 31.3640i | −0.535015 | − | 1.11097i | −0.976860 | − | 0.213878i | \(-0.931390\pi\) |
0.441846 | − | 0.897091i | \(-0.354324\pi\) | |||||||
\(798\) | 4.65293 | − | 0.814797i | 0.164712 | − | 0.0288435i | ||||
\(799\) | −17.4145 | + | 36.1615i | −0.616080 | + | 1.27930i | ||||
\(800\) | 56.5260 | + | 19.4038i | 1.99850 | + | 0.686028i | ||||
\(801\) | 11.1609 | − | 8.90055i | 0.394352 | − | 0.314486i | ||||
\(802\) | 0.878417 | + | 1.54382i | 0.0310180 | + | 0.0545142i | ||||
\(803\) | −7.12974 | −0.251603 | ||||||||
\(804\) | −1.57503 | − | 11.4235i | −0.0555469 | − | 0.402877i | ||||
\(805\) | −1.42182 | − | 13.5106i | −0.0501125 | − | 0.476187i | ||||
\(806\) | −1.34202 | + | 8.53873i | −0.0472707 | + | 0.300764i | ||||
\(807\) | 6.10076 | + | 4.86519i | 0.214757 | + | 0.171263i | ||||
\(808\) | −12.0353 | + | 23.8299i | −0.423401 | + | 0.838334i | ||||
\(809\) | −23.0258 | − | 11.0886i | −0.809543 | − | 0.389855i | −0.0171397 | − | 0.999853i | \(-0.505456\pi\) |
−0.792403 | + | 0.609998i | \(0.791170\pi\) | |||||||
\(810\) | −0.866273 | + | 5.51173i | −0.0304377 | + | 0.193663i | ||||
\(811\) | −3.11922 | + | 3.91138i | −0.109531 | + | 0.137347i | −0.833575 | − | 0.552406i | \(-0.813710\pi\) |
0.724044 | + | 0.689754i | \(0.242281\pi\) | |||||||
\(812\) | 29.1745 | − | 14.6827i | 1.02382 | − | 0.515263i | ||||
\(813\) | 16.4026 | + | 20.5683i | 0.575266 | + | 0.721360i | ||||
\(814\) | −5.70488 | + | 3.24601i | −0.199956 | + | 0.113773i | ||||
\(815\) | −81.5624 | −2.85701 | ||||||||
\(816\) | −18.2793 | − | 7.71060i | −0.639905 | − | 0.269925i | ||||
\(817\) | −12.5726 | + | 2.86961i | −0.439859 | + | 0.100395i | ||||
\(818\) | −6.19635 | + | 0.425152i | −0.216650 | + | 0.0148651i | ||||
\(819\) | −5.92636 | + | 9.27966i | −0.207084 | + | 0.324258i | ||||
\(820\) | −0.554980 | + | 6.33462i | −0.0193808 | + | 0.221215i | ||||
\(821\) | 3.04246 | + | 3.81513i | 0.106183 | + | 0.133149i | 0.832083 | − | 0.554651i | \(-0.187148\pi\) |
−0.725901 | + | 0.687800i | \(0.758577\pi\) | |||||||
\(822\) | 21.2008 | + | 14.6508i | 0.739463 | + | 0.511004i | ||||
\(823\) | −8.59591 | + | 1.96196i | −0.299635 | + | 0.0683896i | −0.369695 | − | 0.929153i | \(-0.620538\pi\) |
0.0700606 | + | 0.997543i | \(0.477681\pi\) | |||||||
\(824\) | 35.5341 | + | 17.9466i | 1.23789 | + | 0.625198i | ||||
\(825\) | 5.01275 | + | 1.14413i | 0.174522 | + | 0.0398334i | ||||
\(826\) | −3.37421 | + | 2.41988i | −0.117404 | + | 0.0841984i | ||||
\(827\) | 9.77035 | − | 2.23002i | 0.339748 | − | 0.0775453i | −0.0492428 | − | 0.998787i | \(-0.515681\pi\) |
0.388991 | + | 0.921242i | \(0.372824\pi\) | |||||||
\(828\) | −1.79437 | + | 1.88570i | −0.0623588 | + | 0.0655328i | ||||
\(829\) | −12.3118 | − | 9.81837i | −0.427608 | − | 0.341006i | 0.385919 | − | 0.922532i | \(-0.373884\pi\) |
−0.813528 | + | 0.581526i | \(0.802456\pi\) | |||||||
\(830\) | 8.85971 | + | 29.3777i | 0.307525 | + | 1.01971i | ||||
\(831\) | −12.1539 | + | 5.85299i | −0.421613 | + | 0.203038i | ||||
\(832\) | 1.25695 | − | 33.2693i | 0.0435768 | − | 1.15340i | ||||
\(833\) | 31.0554 | + | 15.5218i | 1.07600 | + | 0.537799i | ||||
\(834\) | 8.47301 | + | 14.8913i | 0.293396 | + | 0.515645i | ||||
\(835\) | 16.4139 | + | 34.0838i | 0.568026 | + | 1.17952i | ||||
\(836\) | −0.847091 | + | 0.890206i | −0.0292972 | + | 0.0307884i | ||||
\(837\) | −0.915680 | + | 1.14823i | −0.0316505 | + | 0.0396885i | ||||
\(838\) | 22.0777 | − | 6.65817i | 0.762660 | − | 0.230003i | ||||
\(839\) | 0.313744 | + | 1.37460i | 0.0108317 | + | 0.0474566i | 0.980055 | − | 0.198727i | \(-0.0636806\pi\) |
−0.969223 | + | 0.246183i | \(0.920823\pi\) | |||||||
\(840\) | 9.01674 | + | 28.1128i | 0.311107 | + | 0.969983i | ||||
\(841\) | −2.02442 | + | 8.86956i | −0.0698076 | + | 0.305847i | ||||
\(842\) | 0.535441 | + | 7.80374i | 0.0184525 | + | 0.268935i | ||||
\(843\) | 0.665065 | + | 2.91384i | 0.0229060 | + | 0.100358i | ||||
\(844\) | −46.2276 | − | 4.05003i | −1.59122 | − | 0.139408i | ||||
\(845\) | 13.3223 | − | 10.6242i | 0.458303 | − | 0.365484i | ||||
\(846\) | −9.41500 | − | 6.50622i | −0.323694 | − | 0.223688i | ||||
\(847\) | −26.9470 | + | 9.20745i | −0.925909 | + | 0.316372i | ||||
\(848\) | 1.27960 | + | 25.7645i | 0.0439416 | + | 0.884756i | ||||
\(849\) | 2.76002 | + | 12.0924i | 0.0947235 | + | 0.415011i | ||||
\(850\) | −68.8091 | − | 27.5066i | −2.36013 | − | 0.943469i | ||||
\(851\) | − | 12.4119i | − | 0.425475i | ||||||
\(852\) | −6.90843 | − | 4.10538i | −0.236679 | − | 0.140648i | ||||
\(853\) | −19.3758 | + | 15.4516i | −0.663413 | + | 0.529054i | −0.896299 | − | 0.443450i | \(-0.853755\pi\) |
0.232886 | + | 0.972504i | \(0.425183\pi\) | |||||||
\(854\) | 19.0158 | + | 10.3844i | 0.650706 | + | 0.355348i | ||||
\(855\) | −3.89409 | − | 3.10544i | −0.133175 | − | 0.106204i | ||||
\(856\) | −37.6481 | − | 31.2042i | −1.28679 | − | 1.06654i | ||||
\(857\) | 1.44565 | − | 3.00192i | 0.0493824 | − | 0.102544i | −0.874818 | − | 0.484452i | \(-0.839019\pi\) |
0.924200 | + | 0.381909i | \(0.124733\pi\) | |||||||
\(858\) | −0.196069 | − | 2.85759i | −0.00669367 | − | 0.0975564i | ||||
\(859\) | −18.1252 | + | 22.7283i | −0.618424 | + | 0.775479i | −0.988122 | − | 0.153673i | \(-0.950890\pi\) |
0.369698 | + | 0.929152i | \(0.379461\pi\) | |||||||
\(860\) | −28.4996 | − | 75.3927i | −0.971828 | − | 2.57087i | ||||
\(861\) | −1.81367 | + | 1.12110i | −0.0618098 | + | 0.0382070i | ||||
\(862\) | −36.1560 | − | 14.4535i | −1.23148 | − | 0.492287i | ||||
\(863\) | 27.6905i | 0.942594i | 0.881974 | + | 0.471297i | \(0.156214\pi\) | ||||
−0.881974 | + | 0.471297i | \(0.843786\pi\) | |||||||
\(864\) | 2.98117 | − | 4.80756i | 0.101421 | − | 0.163557i | ||||
\(865\) | −46.7640 | − | 58.6402i | −1.59002 | − | 1.99383i | ||||
\(866\) | −9.00789 | − | 9.83158i | −0.306100 | − | 0.334091i | ||||
\(867\) | 6.84666 | + | 3.29718i | 0.232525 | + | 0.111978i | ||||
\(868\) | −1.59671 | + | 7.60550i | −0.0541958 | + | 0.258147i | ||||
\(869\) | −7.58453 | + | 3.65252i | −0.257288 | + | 0.123903i | ||||
\(870\) | −31.9775 | − | 12.7831i | −1.08414 | − | 0.433387i | ||||
\(871\) | −21.6188 | + | 10.4111i | −0.732526 | + | 0.352766i | ||||
\(872\) | 1.02734 | + | 4.92819i | 0.0347900 | + | 0.166889i | ||||
\(873\) | −1.55988 | + | 3.23912i | −0.0527939 | + | 0.109628i | ||||
\(874\) | −0.670937 | − | 2.22474i | −0.0226948 | − | 0.0752530i | ||||
\(875\) | 18.7812 | + | 54.9660i | 0.634921 | + | 1.85819i | ||||
\(876\) | −8.98796 | + | 27.8870i | −0.303675 | + | 0.942216i | ||||
\(877\) | 0.173924 | − | 0.762012i | 0.00587301 | − | 0.0257313i | −0.971907 | − | 0.235367i | \(-0.924371\pi\) |
0.977780 | + | 0.209636i | \(0.0672279\pi\) | |||||||
\(878\) | −32.5892 | − | 5.12200i | −1.09983 | − | 0.172859i | ||||
\(879\) | −6.76830 | − | 1.54482i | −0.228289 | − | 0.0521055i | ||||
\(880\) | −6.23477 | − | 4.48479i | −0.210174 | − | 0.151182i | ||||
\(881\) | − | 40.5201i | − | 1.36516i | −0.730813 | − | 0.682578i | \(-0.760859\pi\) | ||
0.730813 | − | 0.682578i | \(-0.239141\pi\) | |||||||
\(882\) | −5.74704 | + | 8.06049i | −0.193513 | + | 0.271411i | ||||
\(883\) | 37.3098i | 1.25557i | 0.778386 | + | 0.627787i | \(0.216039\pi\) | ||||
−0.778386 | + | 0.627787i | \(0.783961\pi\) | |||||||
\(884\) | −3.60288 | + | 41.1238i | −0.121178 | + | 1.38314i | ||||
\(885\) | 4.26838 | + | 0.974231i | 0.143480 | + | 0.0327484i | ||||
\(886\) | −4.83766 | + | 30.7800i | −0.162524 | + | 1.03408i | ||||
\(887\) | 4.46507 | − | 19.5627i | 0.149922 | − | 0.656852i | −0.842983 | − | 0.537941i | \(-0.819202\pi\) |
0.992905 | − | 0.118912i | \(-0.0379405\pi\) | |||||||
\(888\) | 5.50461 | + | 26.4059i | 0.184723 | + | 0.886124i | ||||
\(889\) | 9.06911 | − | 0.954405i | 0.304168 | − | 0.0320097i | ||||
\(890\) | −76.2557 | + | 22.9972i | −2.55610 | + | 0.770867i | ||||
\(891\) | 0.211161 | − | 0.438481i | 0.00707417 | − | 0.0146897i | ||||
\(892\) | 29.8512 | + | 9.62102i | 0.999493 | + | 0.322136i | ||||
\(893\) | 9.20465 | − | 4.43272i | 0.308022 | − | 0.148335i | ||||
\(894\) | −3.75849 | + | 9.40204i | −0.125703 | + | 0.314451i | ||||
\(895\) | 10.7910 | − | 5.19667i | 0.360703 | − | 0.173706i | ||||
\(896\) | 2.65475 | − | 29.8153i | 0.0886889 | − | 0.996059i | ||||
\(897\) | 4.87999 | + | 2.35008i | 0.162938 | + | 0.0784668i | ||||
\(898\) | −42.5132 | + | 38.9515i | −1.41868 | + | 1.29983i | ||||
\(899\) | −5.65188 | − | 7.08723i | −0.188501 | − | 0.236372i | ||||
\(900\) | 10.7943 | − | 18.1644i | 0.359811 | − | 0.605479i | ||||
\(901\) | − | 31.9858i | − | 1.06560i | ||||||
\(902\) | 0.205890 | − | 0.515043i | 0.00685537 | − | 0.0171490i | ||||
\(903\) | 14.5464 | − | 22.7772i | 0.484074 | − | 0.757977i | ||||
\(904\) | 27.4419 | − | 33.1089i | 0.912705 | − | 1.10119i | ||||
\(905\) | 34.5566 | − | 43.3326i | 1.14870 | − | 1.44043i | ||||
\(906\) | −25.9416 | + | 1.77994i | −0.861851 | + | 0.0591345i | ||||
\(907\) | 0.382040 | − | 0.793314i | 0.0126854 | − | 0.0263416i | −0.894530 | − | 0.447008i | \(-0.852489\pi\) |
0.907215 | + | 0.420667i | \(0.138204\pi\) | |||||||
\(908\) | 3.75783 | + | 9.94095i | 0.124708 | + | 0.329902i | ||||
\(909\) | 7.37948 | + | 5.88494i | 0.244762 | + | 0.195191i | ||||
\(910\) | 49.9216 | − | 35.8022i | 1.65489 | − | 1.18683i | ||||
\(911\) | 6.07476 | − | 4.84446i | 0.201266 | − | 0.160504i | −0.517670 | − | 0.855580i | \(-0.673201\pi\) |
0.718936 | + | 0.695076i | \(0.244629\pi\) | |||||||
\(912\) | 2.41405 | + | 4.43550i | 0.0799373 | + | 0.146874i | ||||
\(913\) | − | 2.67654i | − | 0.0885806i | ||||||
\(914\) | 13.0169 | − | 32.5624i | 0.430561 | − | 1.07707i | ||||
\(915\) | −5.08355 | − | 22.2725i | −0.168057 | − | 0.736306i | ||||
\(916\) | 24.2214 | + | 36.5051i | 0.800296 | + | 1.20616i | ||||
\(917\) | 0.882255 | − | 2.46313i | 0.0291346 | − | 0.0813396i | ||||
\(918\) | −3.98761 | + | 5.77039i | −0.131611 | + | 0.190451i | ||||
\(919\) | −14.7939 | + | 11.7978i | −0.488007 | + | 0.389173i | −0.836351 | − | 0.548194i | \(-0.815315\pi\) |
0.348344 | + | 0.937367i | \(0.386744\pi\) | |||||||
\(920\) | 13.2016 | − | 6.05322i | 0.435244 | − | 0.199569i | ||||
\(921\) | 2.44062 | + | 10.6931i | 0.0804212 | + | 0.352348i | ||||
\(922\) | −41.0834 | + | 2.81887i | −1.35301 | + | 0.0928346i | ||||
\(923\) | −3.72096 | + | 16.3026i | −0.122477 | + | 0.536606i | ||||
\(924\) | −0.0449707 | − | 2.57486i | −0.00147943 | − | 0.0847068i | ||||
\(925\) | 22.4195 | + | 98.2263i | 0.737149 | + | 3.22966i | ||||
\(926\) | −8.37439 | − | 27.7684i | −0.275200 | − | 0.912527i | ||||
\(927\) | 8.77537 | − | 11.0040i | 0.288221 | − | 0.361418i | ||||
\(928\) | 24.8353 | + | 24.5425i | 0.815259 | + | 0.805646i | ||||
\(929\) | 16.9738 | + | 35.2465i | 0.556893 | + | 1.15640i | 0.969409 | + | 0.245450i | \(0.0789356\pi\) |
−0.412517 | + | 0.910950i | \(0.635350\pi\) | |||||||
\(930\) | 7.12195 | − | 4.05231i | 0.233538 | − | 0.132880i | ||||
\(931\) | −3.71693 | − | 8.01762i | −0.121817 | − | 0.262767i | ||||
\(932\) | −3.83868 | + | 6.45963i | −0.125740 | + | 0.211592i | ||||
\(933\) | −6.51613 | + | 3.13800i | −0.213329 | + | 0.102734i | ||||
\(934\) | 3.21146 | − | 0.968511i | 0.105082 | − | 0.0316906i | ||||
\(935\) | 7.44539 | + | 5.93750i | 0.243490 | + | 0.194177i | ||||
\(936\) | −11.4242 | − | 2.83546i | −0.373413 | − | 0.0926799i | ||||
\(937\) | −30.9970 | + | 7.07487i | −1.01263 | + | 0.231126i | −0.696474 | − | 0.717582i | \(-0.745249\pi\) |
−0.316155 | + | 0.948708i | \(0.602392\pi\) | |||||||
\(938\) | −19.8894 | + | 8.35657i | −0.649413 | + | 0.272852i | ||||
\(939\) | 7.57834 | + | 1.72971i | 0.247310 | + | 0.0564468i | ||||
\(940\) | 35.3025 | + | 53.2060i | 1.15144 | + | 1.73539i | ||||
\(941\) | −49.6590 | + | 11.3343i | −1.61884 | + | 0.369489i | −0.933455 | − | 0.358695i | \(-0.883222\pi\) |
−0.685382 | + | 0.728184i | \(0.740365\pi\) | |||||||
\(942\) | −1.85490 | + | 2.68418i | −0.0604358 | + | 0.0874554i | ||||
\(943\) | 0.653964 | + | 0.820046i | 0.0212960 | + | 0.0267044i | ||||
\(944\) | −3.60351 | − | 2.59207i | −0.117284 | − | 0.0843648i | ||||
\(945\) | 10.3808 | − | 1.09244i | 0.337686 | − | 0.0355371i | ||||
\(946\) | 0.481255 | + | 7.01402i | 0.0156470 | + | 0.228045i | ||||
\(947\) | 41.4233 | − | 9.45461i | 1.34608 | − | 0.307233i | 0.512050 | − | 0.858956i | \(-0.328886\pi\) |
0.834028 | + | 0.551722i | \(0.186029\pi\) | |||||||
\(948\) | 4.72505 | + | 34.2704i | 0.153463 | + | 1.11305i | ||||
\(949\) | 60.9671 | 1.97908 | ||||||||
\(950\) | 9.32824 | + | 16.3944i | 0.302648 | + | 0.531905i | ||||
\(951\) | 7.45847 | + | 9.35262i | 0.241857 | + | 0.303280i | ||||
\(952\) | −5.12150 | + | 36.7604i | −0.165989 | + | 1.19141i | ||||
\(953\) | −6.79970 | + | 8.52656i | −0.220264 | + | 0.276202i | −0.879670 | − | 0.475585i | \(-0.842236\pi\) |
0.659406 | + | 0.751787i | \(0.270808\pi\) | |||||||
\(954\) | 9.00975 | + | 1.41605i | 0.291701 | + | 0.0458463i | ||||
\(955\) | −46.7023 | − | 22.4906i | −1.51125 | − | 0.727780i | ||||
\(956\) | 7.85717 | + | 11.8419i | 0.254119 | + | 0.382995i | ||||
\(957\) | 2.34857 | + | 1.87292i | 0.0759185 | + | 0.0605430i | ||||
\(958\) | 7.68613 | + | 1.20802i | 0.248328 | + | 0.0390293i | ||||
\(959\) | 16.2575 | − | 45.3884i | 0.524981 | − | 1.46567i | ||||
\(960\) | −25.4014 | + | 18.7328i | −0.819826 | + | 0.604599i | ||||
\(961\) | −28.8431 | −0.930423 | ||||||||
\(962\) | 48.7830 | − | 27.7570i | 1.57283 | − | 0.894921i | ||||
\(963\) | −13.5166 | + | 10.7791i | −0.435565 | + | 0.347351i | ||||
\(964\) | −4.98354 | + | 15.4625i | −0.160509 | + | 0.498013i | ||||
\(965\) | −9.36284 | + | 19.4421i | −0.301400 | + | 0.625864i | ||||
\(966\) | 4.27401 | + | 2.33402i | 0.137514 | + | 0.0750959i | ||||
\(967\) | −25.0168 | − | 51.9480i | −0.804487 | − | 1.67053i | −0.739991 | − | 0.672616i | \(-0.765170\pi\) |
−0.0644956 | − | 0.997918i | \(-0.520544\pi\) | |||||||
\(968\) | −18.5280 | − | 24.1552i | −0.595512 | − | 0.776379i | ||||
\(969\) | −2.71679 | − | 5.64146i | −0.0872757 | − | 0.181230i | ||||
\(970\) | 14.7897 | − | 13.5506i | 0.474869 | − | 0.435084i | ||||
\(971\) | 18.3674 | + | 8.84529i | 0.589439 | + | 0.283859i | 0.704733 | − | 0.709472i | \(-0.251067\pi\) |
−0.115294 | + | 0.993331i | \(0.536781\pi\) | |||||||
\(972\) | −1.44886 | − | 1.37869i | −0.0464723 | − | 0.0442216i | ||||
\(973\) | 22.8309 | − | 22.4978i | 0.731926 | − | 0.721247i | ||||
\(974\) | −9.75975 | − | 10.6522i | −0.312723 | − | 0.341318i | ||||
\(975\) | −42.8645 | − | 9.78354i | −1.37276 | − | 0.313324i | ||||
\(976\) | −4.02764 | + | 22.8096i | −0.128921 | + | 0.730116i | ||||
\(977\) | −9.04987 | + | 39.6501i | −0.289531 | + | 1.26852i | 0.595639 | + | 0.803252i | \(0.296899\pi\) |
−0.885170 | + | 0.465267i | \(0.845958\pi\) | |||||||
\(978\) | 16.6215 | − | 24.0526i | 0.531497 | − | 0.769118i | ||||
\(979\) | 6.94750 | 0.222043 | ||||||||
\(980\) | 46.4677 | − | 29.8574i | 1.48436 | − | 0.953758i | ||||
\(981\) | 1.77983 | 0.0568257 | ||||||||
\(982\) | 21.8678 | − | 31.6445i | 0.697830 | − | 1.00982i | ||||
\(983\) | −2.85683 | + | 12.5166i | −0.0911189 | + | 0.399218i | −0.999834 | − | 0.0181981i | \(-0.994207\pi\) |
0.908716 | + | 0.417416i | \(0.137064\pi\) | |||||||
\(984\) | −1.75497 | − | 1.45459i | −0.0559464 | − | 0.0463706i | ||||
\(985\) | 20.8488 | + | 4.75860i | 0.664297 | + | 0.151621i | ||||
\(986\) | −29.2469 | − | 31.9212i | −0.931410 | − | 1.01658i | ||||
\(987\) | −7.21973 | + | 20.1564i | −0.229807 | + | 0.641586i | ||||
\(988\) | 7.24355 | − | 7.61223i | 0.230448 | − | 0.242177i | ||||
\(989\) | −11.9781 | − | 5.76833i | −0.380880 | − | 0.183422i | ||||
\(990\) | −2.00209 | + | 1.83435i | −0.0636306 | + | 0.0582996i | ||||
\(991\) | 3.48812 | + | 7.24315i | 0.110804 | + | 0.230086i | 0.948996 | − | 0.315289i | \(-0.102101\pi\) |
−0.838192 | + | 0.545375i | \(0.816387\pi\) | |||||||
\(992\) | −8.24996 | + | 0.979131i | −0.261937 | + | 0.0310874i | ||||
\(993\) | −7.88767 | − | 16.3789i | −0.250308 | − | 0.519769i | ||||
\(994\) | −4.08893 | + | 14.4676i | −0.129693 | + | 0.458886i | ||||
\(995\) | 32.2772 | − | 67.0243i | 1.02326 | − | 2.12481i | ||||
\(996\) | −10.4689 | − | 3.37413i | −0.331721 | − | 0.106913i | ||||
\(997\) | 38.2141 | − | 30.4748i | 1.21025 | − | 0.965145i | 0.210332 | − | 0.977630i | \(-0.432546\pi\) |
0.999922 | + | 0.0124847i | \(0.00397411\pi\) | |||||||
\(998\) | 50.2168 | − | 28.5728i | 1.58958 | − | 0.904455i | ||||
\(999\) | 9.53659 | 0.301724 |
(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 | 588.2.x.a.223.6 | ✓ | 168 | |
4.3 | odd | 2 | 588.2.x.b.223.14 | yes | 168 | ||
49.20 | odd | 14 | 588.2.x.b.559.14 | yes | 168 | ||
196.167 | even | 14 | inner | 588.2.x.a.559.6 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.223.6 | ✓ | 168 | 1.1 | even | 1 | trivial | |
588.2.x.a.559.6 | yes | 168 | 196.167 | even | 14 | inner | |
588.2.x.b.223.14 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.559.14 | yes | 168 | 49.20 | odd | 14 |