Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(4,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(68))
chi = DirichletCharacter(H, H._module([27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.h (of order \(68\), degree \(32\), 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{68})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{68}]$ |
Embedding invariants
Embedding label | 149.8 | ||
Character | \(\chi\) | \(=\) | 289.149 |
Dual form | 289.2.h.a.225.8 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{21}{68}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.800196 | + | 1.29236i | −0.565824 | + | 0.913837i | 0.434092 | + | 0.900869i | \(0.357069\pi\) |
−0.999916 | + | 0.0129686i | \(0.995872\pi\) | |||||||
\(3\) | 1.84517 | + | 2.69361i | 1.06531 | + | 1.55516i | 0.808322 | + | 0.588741i | \(0.200376\pi\) |
0.256985 | + | 0.966415i | \(0.417271\pi\) | |||||||
\(4\) | −0.138406 | − | 0.277957i | −0.0692032 | − | 0.138979i | ||||
\(5\) | 2.52538 | − | 3.04120i | 1.12938 | − | 1.36007i | 0.204928 | − | 0.978777i | \(-0.434304\pi\) |
0.924456 | − | 0.381288i | \(-0.124519\pi\) | |||||||
\(6\) | −4.95761 | + | 0.229204i | −2.02394 | + | 0.0935722i | ||||
\(7\) | 0.0173698 | − | 0.00766950i | 0.00656516 | − | 0.00289880i | −0.400636 | − | 0.916237i | \(-0.631211\pi\) |
0.407201 | + | 0.913339i | \(0.366505\pi\) | |||||||
\(8\) | −2.55713 | − | 0.236953i | −0.904082 | − | 0.0837756i | ||||
\(9\) | −2.76717 | + | 7.14290i | −0.922391 | + | 2.38097i | ||||
\(10\) | 1.90953 | + | 5.69726i | 0.603846 | + | 1.80163i | ||||
\(11\) | −0.740276 | − | 0.248115i | −0.223201 | − | 0.0748096i | 0.203982 | − | 0.978975i | \(-0.434612\pi\) |
−0.427183 | + | 0.904165i | \(0.640494\pi\) | |||||||
\(12\) | 0.493326 | − | 0.885690i | 0.142411 | − | 0.255677i | ||||
\(13\) | 0.0108953 | − | 0.117579i | 0.00302181 | − | 0.0326105i | −0.994090 | − | 0.108561i | \(-0.965376\pi\) |
0.997112 | + | 0.0759507i | \(0.0241992\pi\) | |||||||
\(14\) | −0.00398745 | + | 0.0285851i | −0.00106569 | + | 0.00763969i | ||||
\(15\) | 12.8515 | + | 1.19087i | 3.31825 | + | 0.307482i | ||||
\(16\) | 2.72668 | − | 3.61071i | 0.681671 | − | 0.902678i | ||||
\(17\) | −3.58834 | + | 2.03072i | −0.870300 | + | 0.492523i | ||||
\(18\) | −7.01692 | − | 9.29190i | −1.65390 | − | 2.19012i | ||||
\(19\) | 2.31533 | + | 3.73938i | 0.531172 | + | 0.857872i | 0.999672 | − | 0.0255910i | \(-0.00814674\pi\) |
−0.468500 | + | 0.883463i | \(0.655206\pi\) | |||||||
\(20\) | −1.19485 | − | 0.281027i | −0.267177 | − | 0.0628395i | ||||
\(21\) | 0.0527088 | + | 0.0326359i | 0.0115020 | + | 0.00712173i | ||||
\(22\) | 0.913020 | − | 0.758162i | 0.194657 | − | 0.161641i | ||||
\(23\) | 2.27233 | − | 1.00333i | 0.473814 | − | 0.209210i | −0.153234 | − | 0.988190i | \(-0.548969\pi\) |
0.627048 | + | 0.778980i | \(0.284263\pi\) | |||||||
\(24\) | −4.08007 | − | 7.32513i | −0.832841 | − | 1.49524i | ||||
\(25\) | −1.95260 | − | 10.4455i | −0.390520 | − | 2.08910i | ||||
\(26\) | 0.143236 | + | 0.108167i | 0.0280909 | + | 0.0212133i | ||||
\(27\) | −14.8113 | + | 3.48358i | −2.85043 | + | 0.670415i | ||||
\(28\) | −0.00453588 | − | 0.00376655i | −0.000857201 | − | 0.000711811i | ||||
\(29\) | 2.79832 | − | 8.34905i | 0.519635 | − | 1.55038i | −0.286158 | − | 0.958182i | \(-0.592378\pi\) |
0.805793 | − | 0.592197i | \(-0.201739\pi\) | |||||||
\(30\) | −11.8228 | + | 15.6559i | −2.15854 | + | 2.85836i | ||||
\(31\) | −2.32925 | + | 1.93418i | −0.418345 | + | 0.347389i | −0.823953 | − | 0.566658i | \(-0.808236\pi\) |
0.405608 | + | 0.914047i | \(0.367060\pi\) | |||||||
\(32\) | 0.629063 | + | 1.62380i | 0.111204 | + | 0.287050i | ||||
\(33\) | −0.697605 | − | 2.45183i | −0.121437 | − | 0.426808i | ||||
\(34\) | 0.246946 | − | 6.26240i | 0.0423509 | − | 1.07399i | ||||
\(35\) | 0.0205408 | − | 0.0721933i | 0.00347202 | − | 0.0122029i | ||||
\(36\) | 2.36842 | − | 0.219466i | 0.394736 | − | 0.0365777i | ||||
\(37\) | 2.66964 | − | 1.48698i | 0.438886 | − | 0.244458i | −0.251560 | − | 0.967842i | \(-0.580944\pi\) |
0.690446 | + | 0.723384i | \(0.257414\pi\) | |||||||
\(38\) | −6.68534 | −1.08451 | ||||||||
\(39\) | 0.336815 | − | 0.187605i | 0.0539336 | − | 0.0300408i | ||||
\(40\) | −7.17835 | + | 7.17835i | −1.13500 | + | 1.13500i | ||||
\(41\) | −0.575472 | + | 0.394208i | −0.0898736 | + | 0.0615649i | −0.609234 | − | 0.792990i | \(-0.708523\pi\) |
0.519361 | + | 0.854555i | \(0.326170\pi\) | |||||||
\(42\) | −0.0843547 | + | 0.0420036i | −0.0130162 | + | 0.00648130i | ||||
\(43\) | 7.47195 | − | 5.64255i | 1.13946 | − | 0.860481i | 0.147757 | − | 0.989024i | \(-0.452795\pi\) |
0.991704 | + | 0.128542i | \(0.0410299\pi\) | |||||||
\(44\) | 0.0334933 | + | 0.240106i | 0.00504931 | + | 0.0361973i | ||||
\(45\) | 14.7348 | + | 26.4540i | 2.19654 | + | 3.94354i | ||||
\(46\) | −0.521643 | + | 3.73954i | −0.0769121 | + | 0.551365i | ||||
\(47\) | 11.5010 | − | 4.45551i | 1.67759 | − | 0.649903i | 0.680992 | − | 0.732291i | \(-0.261549\pi\) |
0.996600 | + | 0.0823879i | \(0.0262546\pi\) | |||||||
\(48\) | 14.7570 | + | 0.682259i | 2.12999 | + | 0.0984756i | ||||
\(49\) | −4.71563 | + | 5.17280i | −0.673661 | + | 0.738971i | ||||
\(50\) | 15.0618 | + | 5.83498i | 2.13006 | + | 0.825191i | ||||
\(51\) | −12.0911 | − | 5.91856i | −1.69309 | − | 0.828764i | ||||
\(52\) | −0.0341899 | + | 0.0132452i | −0.00474129 | + | 0.00183678i | ||||
\(53\) | 3.08703 | − | 7.96855i | 0.424037 | − | 1.09456i | −0.542956 | − | 0.839761i | \(-0.682695\pi\) |
0.966993 | − | 0.254804i | \(-0.0820109\pi\) | |||||||
\(54\) | 7.34987 | − | 21.9290i | 1.00019 | − | 2.98416i | ||||
\(55\) | −2.62404 | + | 1.62474i | −0.353826 | + | 0.219080i | ||||
\(56\) | −0.0462341 | + | 0.0154961i | −0.00617829 | + | 0.00207075i | ||||
\(57\) | −5.80027 | + | 13.1364i | −0.768264 | + | 1.73995i | ||||
\(58\) | 8.55078 | + | 10.2973i | 1.12277 | + | 1.35210i | ||||
\(59\) | −5.26071 | − | 5.77072i | −0.684886 | − | 0.751284i | 0.293974 | − | 0.955813i | \(-0.405022\pi\) |
−0.978861 | + | 0.204529i | \(0.934434\pi\) | |||||||
\(60\) | −1.44772 | − | 3.73701i | −0.186900 | − | 0.482445i | ||||
\(61\) | −12.7867 | + | 0.591163i | −1.63717 | + | 0.0756907i | −0.845052 | − | 0.534684i | \(-0.820431\pi\) |
−0.792113 | + | 0.610375i | \(0.791019\pi\) | |||||||
\(62\) | −0.635807 | − | 4.55795i | −0.0807476 | − | 0.578860i | ||||
\(63\) | 0.00671731 | + | 0.145293i | 0.000846302 | + | 0.0183052i | ||||
\(64\) | 6.29322 | + | 1.17641i | 0.786653 | + | 0.147051i | ||||
\(65\) | −0.330066 | − | 0.330066i | −0.0409396 | − | 0.0409396i | ||||
\(66\) | 3.72687 | + | 1.06038i | 0.458746 | + | 0.130524i | ||||
\(67\) | 1.94426 | − | 1.20383i | 0.237529 | − | 0.147072i | −0.402506 | − | 0.915417i | \(-0.631861\pi\) |
0.640035 | + | 0.768345i | \(0.278920\pi\) | |||||||
\(68\) | 1.06110 | + | 0.716340i | 0.128678 | + | 0.0868690i | ||||
\(69\) | 6.89542 | + | 4.26946i | 0.830111 | + | 0.513983i | ||||
\(70\) | 0.0768632 | + | 0.0843149i | 0.00918691 | + | 0.0100776i | ||||
\(71\) | 0.106114 | + | 0.240325i | 0.0125934 | + | 0.0285213i | 0.920979 | − | 0.389611i | \(-0.127391\pi\) |
−0.908386 | + | 0.418133i | \(0.862685\pi\) | |||||||
\(72\) | 8.76855 | − | 17.6096i | 1.03338 | − | 2.07531i | ||||
\(73\) | −2.29440 | + | 0.320055i | −0.268539 | + | 0.0374596i | −0.271150 | − | 0.962537i | \(-0.587404\pi\) |
0.00261135 | + | 0.999997i | \(0.499169\pi\) | |||||||
\(74\) | −0.214520 | + | 4.64001i | −0.0249375 | + | 0.539390i | ||||
\(75\) | 24.5332 | − | 24.5332i | 2.83285 | − | 2.83285i | ||||
\(76\) | 0.718932 | − | 1.16112i | 0.0824672 | − | 0.133189i | ||||
\(77\) | −0.0147613 | + | 0.00136784i | −0.00168221 | + | 0.000155880i | ||||
\(78\) | −0.0270650 | + | 0.585407i | −0.00306451 | + | 0.0662843i | ||||
\(79\) | −0.631596 | + | 2.68538i | −0.0710600 | + | 0.302129i | −0.997175 | − | 0.0751125i | \(-0.976068\pi\) |
0.926115 | + | 0.377241i | \(0.123127\pi\) | |||||||
\(80\) | −4.09498 | − | 17.4108i | −0.457833 | − | 1.94659i | ||||
\(81\) | −19.7298 | − | 17.9861i | −2.19220 | − | 1.99846i | ||||
\(82\) | −0.0489680 | − | 1.05916i | −0.00540761 | − | 0.116965i | ||||
\(83\) | 0.139328 | + | 0.745338i | 0.0152932 | + | 0.0818115i | 0.989768 | − | 0.142685i | \(-0.0455735\pi\) |
−0.974475 | + | 0.224496i | \(0.927926\pi\) | |||||||
\(84\) | 0.00177616 | − | 0.0191678i | 0.000193795 | − | 0.00209138i | ||||
\(85\) | −2.88608 | + | 16.0412i | −0.313039 | + | 1.73991i | ||||
\(86\) | 1.31319 | + | 14.1716i | 0.141605 | + | 1.52816i | ||||
\(87\) | 27.6524 | − | 7.86780i | 2.96465 | − | 0.843517i | ||||
\(88\) | 1.83419 | + | 0.809874i | 0.195525 | + | 0.0863329i | ||||
\(89\) | 0.520682 | + | 5.61905i | 0.0551922 | + | 0.595619i | 0.977752 | + | 0.209764i | \(0.0672697\pi\) |
−0.922560 | + | 0.385854i | \(0.873907\pi\) | |||||||
\(90\) | −45.9789 | − | 2.12573i | −4.84660 | − | 0.224072i | ||||
\(91\) | −0.000712523 | − | 0.00212588i | −7.46927e−5 | − | 0.000222853i | ||||
\(92\) | −0.593390 | − | 0.492744i | −0.0618651 | − | 0.0513722i | ||||
\(93\) | −9.50778 | − | 2.70520i | −0.985911 | − | 0.280516i | ||||
\(94\) | −3.44492 | + | 18.4287i | −0.355317 | + | 1.90078i | ||||
\(95\) | 17.2193 | + | 2.40199i | 1.76666 | + | 0.246439i | ||||
\(96\) | −3.21315 | + | 4.69063i | −0.327941 | + | 0.478735i | ||||
\(97\) | 5.99696 | + | 13.5818i | 0.608899 | + | 1.37903i | 0.905632 | + | 0.424065i | \(0.139397\pi\) |
−0.296732 | + | 0.954961i | \(0.595897\pi\) | |||||||
\(98\) | −2.91169 | − | 10.2335i | −0.294125 | − | 1.03374i | ||||
\(99\) | 3.82073 | − | 4.60113i | 0.383998 | − | 0.462431i | ||||
\(100\) | −2.63315 | + | 1.98846i | −0.263315 | + | 0.198846i | ||||
\(101\) | −6.30712 | − | 5.74970i | −0.627582 | − | 0.572117i | 0.296157 | − | 0.955139i | \(-0.404295\pi\) |
−0.923739 | + | 0.383023i | \(0.874883\pi\) | |||||||
\(102\) | 17.3241 | − | 10.8900i | 1.71534 | − | 1.07827i | ||||
\(103\) | −3.93497 | + | 3.58720i | −0.387724 | + | 0.353457i | −0.843964 | − | 0.536399i | \(-0.819784\pi\) |
0.456240 | + | 0.889857i | \(0.349196\pi\) | |||||||
\(104\) | −0.0557213 | + | 0.298083i | −0.00546393 | + | 0.0292294i | ||||
\(105\) | 0.232362 | − | 0.0778798i | 0.0226762 | − | 0.00760029i | ||||
\(106\) | 7.82801 | + | 10.3660i | 0.760324 | + | 1.00683i | ||||
\(107\) | −12.9738 | − | 3.05140i | −1.25422 | − | 0.294990i | −0.452000 | − | 0.892018i | \(-0.649289\pi\) |
−0.802220 | + | 0.597028i | \(0.796348\pi\) | |||||||
\(108\) | 3.01826 | + | 3.63475i | 0.290432 | + | 0.349754i | ||||
\(109\) | −8.76219 | + | 12.7912i | −0.839266 | + | 1.22518i | 0.132957 | + | 0.991122i | \(0.457553\pi\) |
−0.972223 | + | 0.234055i | \(0.924800\pi\) | |||||||
\(110\) | − | 4.69132i | − | 0.447300i | ||||||
\(111\) | 8.93126 | + | 4.44724i | 0.847718 | + | 0.422113i | ||||
\(112\) | 0.0196695 | − | 0.0836295i | 0.00185859 | − | 0.00790225i | ||||
\(113\) | 0.369742 | − | 0.253279i | 0.0347824 | − | 0.0238265i | −0.547620 | − | 0.836727i | \(-0.684466\pi\) |
0.582402 | + | 0.812901i | \(0.302113\pi\) | |||||||
\(114\) | −12.3356 | − | 18.0077i | −1.15533 | − | 1.68658i | ||||
\(115\) | 2.68717 | − | 9.44442i | 0.250580 | − | 0.880697i | ||||
\(116\) | −2.70799 | + | 0.377748i | −0.251430 | + | 0.0350730i | ||||
\(117\) | 0.809705 | + | 0.403185i | 0.0748572 | + | 0.0372745i | ||||
\(118\) | 11.6675 | − | 2.18103i | 1.07408 | − | 0.200780i | ||||
\(119\) | −0.0467540 | + | 0.0627940i | −0.00428593 | + | 0.00575631i | ||||
\(120\) | −32.5809 | − | 6.09043i | −2.97422 | − | 0.555977i | ||||
\(121\) | −8.29174 | − | 6.26163i | −0.753795 | − | 0.569239i | ||||
\(122\) | 9.46784 | − | 16.9980i | 0.857178 | − | 1.53893i | ||||
\(123\) | −2.12368 | − | 0.822719i | −0.191486 | − | 0.0741821i | ||||
\(124\) | 0.860003 | + | 0.379728i | 0.0772305 | + | 0.0341006i | ||||
\(125\) | −19.4306 | − | 10.8228i | −1.73793 | − | 0.968019i | ||||
\(126\) | −0.193147 | − | 0.107582i | −0.0172069 | − | 0.00958416i | ||||
\(127\) | 7.92570 | − | 2.25506i | 0.703292 | − | 0.200104i | 0.0969286 | − | 0.995291i | \(-0.469098\pi\) |
0.606364 | + | 0.795187i | \(0.292628\pi\) | |||||||
\(128\) | −8.90249 | + | 9.76556i | −0.786876 | + | 0.863162i | ||||
\(129\) | 28.9858 | + | 9.71507i | 2.55206 | + | 0.855364i | ||||
\(130\) | 0.690682 | − | 0.162447i | 0.0605768 | − | 0.0142475i | ||||
\(131\) | −1.06740 | − | 1.06740i | −0.0932592 | − | 0.0932592i | 0.658938 | − | 0.752197i | \(-0.271006\pi\) |
−0.752197 | + | 0.658938i | \(0.771006\pi\) | |||||||
\(132\) | −0.584951 | + | 0.533253i | −0.0509134 | + | 0.0464137i | ||||
\(133\) | 0.0688958 | + | 0.0471948i | 0.00597403 | + | 0.00409230i | ||||
\(134\) | 3.47599i | 0.300279i | ||||||||
\(135\) | −26.8098 | + | 53.8414i | −2.30742 | + | 4.63393i | ||||
\(136\) | 9.65703 | − | 4.34256i | 0.828084 | − | 0.372371i | ||||
\(137\) | 5.60736 | + | 11.2611i | 0.479069 | + | 0.962101i | 0.994457 | + | 0.105144i | \(0.0335303\pi\) |
−0.515388 | + | 0.856957i | \(0.672352\pi\) | |||||||
\(138\) | −11.0354 | + | 5.49497i | −0.939394 | + | 0.467763i | ||||
\(139\) | 2.12931 | + | 9.05327i | 0.180606 | + | 0.767888i | 0.984824 | + | 0.173554i | \(0.0555253\pi\) |
−0.804219 | + | 0.594334i | \(0.797416\pi\) | |||||||
\(140\) | −0.0229096 | + | 0.00428255i | −0.00193622 | + | 0.000361942i | ||||
\(141\) | 33.2226 | + | 22.7580i | 2.79785 | + | 1.91657i | ||||
\(142\) | −0.395499 | − | 0.0551697i | −0.0331895 | − | 0.00462974i | ||||
\(143\) | −0.0372386 | + | 0.0843375i | −0.00311405 | + | 0.00705265i | ||||
\(144\) | 18.2457 | + | 29.4679i | 1.52048 | + | 2.45566i | ||||
\(145\) | −18.3243 | − | 29.5948i | −1.52175 | − | 2.45771i | ||||
\(146\) | 1.42234 | − | 3.22130i | 0.117714 | − | 0.266596i | ||||
\(147\) | −22.6346 | − | 3.15739i | −1.86687 | − | 0.260417i | ||||
\(148\) | −0.782811 | − | 0.536238i | −0.0643467 | − | 0.0440785i | ||||
\(149\) | −16.9664 | + | 3.17157i | −1.38994 | + | 0.259825i | −0.824920 | − | 0.565249i | \(-0.808780\pi\) |
−0.565023 | + | 0.825075i | \(0.691133\pi\) | |||||||
\(150\) | 12.0744 | + | 51.3372i | 0.985870 | + | 4.19166i | ||||
\(151\) | −16.4236 | + | 8.17797i | −1.33653 | + | 0.665514i | −0.964839 | − | 0.262842i | \(-0.915340\pi\) |
−0.371693 | + | 0.928356i | \(0.621222\pi\) | |||||||
\(152\) | −5.03453 | − | 10.1107i | −0.408354 | − | 0.820086i | ||||
\(153\) | −4.57570 | − | 31.2505i | −0.369923 | − | 2.52645i | ||||
\(154\) | 0.0100442 | − | 0.0201715i | 0.000809386 | − | 0.00162547i | ||||
\(155\) | 11.9682i | 0.961313i | ||||||||
\(156\) | −0.0987635 | − | 0.0676546i | −0.00790741 | − | 0.00541670i | ||||
\(157\) | 3.57904 | − | 3.26273i | 0.285638 | − | 0.260394i | −0.518176 | − | 0.855274i | \(-0.673389\pi\) |
0.803814 | + | 0.594880i | \(0.202801\pi\) | |||||||
\(158\) | −2.96508 | − | 2.96508i | −0.235889 | − | 0.235889i | ||||
\(159\) | 27.1603 | − | 6.38804i | 2.15395 | − | 0.506604i | ||||
\(160\) | 6.52692 | + | 2.18760i | 0.515998 | + | 0.172945i | ||||
\(161\) | 0.0317749 | − | 0.0348554i | 0.00250421 | − | 0.00274699i | ||||
\(162\) | 39.0323 | − | 11.1056i | 3.06667 | − | 0.872542i | ||||
\(163\) | −10.1740 | − | 5.66687i | −0.796888 | − | 0.443864i | 0.0346035 | − | 0.999401i | \(-0.488983\pi\) |
−0.831492 | + | 0.555537i | \(0.812513\pi\) | |||||||
\(164\) | 0.189222 | + | 0.105396i | 0.0147757 | + | 0.00823004i | ||||
\(165\) | −9.21821 | − | 4.07024i | −0.717637 | − | 0.316868i | ||||
\(166\) | −1.07474 | − | 0.416355i | −0.0834157 | − | 0.0323154i | ||||
\(167\) | 2.93961 | − | 5.27762i | 0.227474 | − | 0.408394i | −0.735686 | − | 0.677323i | \(-0.763140\pi\) |
0.963160 | + | 0.268928i | \(0.0866695\pi\) | |||||||
\(168\) | −0.127050 | − | 0.0959437i | −0.00980212 | − | 0.00740222i | ||||
\(169\) | 12.7649 | + | 2.38618i | 0.981919 | + | 0.183552i | ||||
\(170\) | −18.4216 | − | 16.5660i | −1.41287 | − | 1.27055i | ||||
\(171\) | −33.1169 | + | 6.19062i | −2.53251 | + | 0.473409i | ||||
\(172\) | −2.60255 | − | 1.29592i | −0.198443 | − | 0.0988128i | ||||
\(173\) | −1.28559 | + | 0.179333i | −0.0977419 | + | 0.0136344i | −0.186859 | − | 0.982387i | \(-0.559831\pi\) |
0.0891171 | + | 0.996021i | \(0.471595\pi\) | |||||||
\(174\) | −11.9593 | + | 42.0327i | −0.906635 | + | 3.18649i | ||||
\(175\) | −0.114028 | − | 0.166460i | −0.00861971 | − | 0.0125832i | ||||
\(176\) | −2.91437 | + | 1.99639i | −0.219679 | + | 0.150484i | ||||
\(177\) | 5.83720 | − | 24.8182i | 0.438751 | − | 1.86545i | ||||
\(178\) | −7.67849 | − | 3.82344i | −0.575527 | − | 0.286579i | ||||
\(179\) | 11.8974i | 0.889250i | 0.895717 | + | 0.444625i | \(0.146663\pi\) | ||||
−0.895717 | + | 0.444625i | \(0.853337\pi\) | |||||||
\(180\) | 5.31371 | − | 7.75706i | 0.396060 | − | 0.578177i | ||||
\(181\) | −0.832614 | − | 1.00268i | −0.0618877 | − | 0.0745285i | 0.737487 | − | 0.675361i | \(-0.236012\pi\) |
−0.799375 | + | 0.600833i | \(0.794836\pi\) | |||||||
\(182\) | 0.00331756 | 0.000780283i | 0.000245914 | 5.78385e-5i | ||||||
\(183\) | −25.1859 | − | 33.3515i | −1.86179 | − | 2.46541i | ||||
\(184\) | −6.04840 | + | 2.02722i | −0.445894 | + | 0.149449i | ||||
\(185\) | 2.21965 | − | 11.8741i | 0.163192 | − | 0.873000i | ||||
\(186\) | 11.1042 | − | 10.1228i | 0.814198 | − | 0.742239i | ||||
\(187\) | 3.16021 | − | 0.612973i | 0.231098 | − | 0.0448250i | ||||
\(188\) | −2.83025 | − | 2.58012i | −0.206417 | − | 0.188174i | ||||
\(189\) | −0.230551 | + | 0.174104i | −0.0167701 | + | 0.0126642i | ||||
\(190\) | −16.8830 | + | 20.3315i | −1.22482 | + | 1.47500i | ||||
\(191\) | −1.26836 | − | 4.45782i | −0.0917753 | − | 0.322557i | 0.902320 | − | 0.431067i | \(-0.141863\pi\) |
−0.994095 | + | 0.108510i | \(0.965392\pi\) | |||||||
\(192\) | 8.44325 | + | 19.1221i | 0.609339 | + | 1.38002i | ||||
\(193\) | −2.41573 | + | 3.52653i | −0.173888 | + | 0.253845i | −0.902120 | − | 0.431486i | \(-0.857990\pi\) |
0.728232 | + | 0.685331i | \(0.240343\pi\) | |||||||
\(194\) | −22.3514 | − | 3.11788i | −1.60473 | − | 0.223851i | ||||
\(195\) | 0.280043 | − | 1.49810i | 0.0200543 | − | 0.107281i | ||||
\(196\) | 2.09049 | + | 0.594796i | 0.149321 | + | 0.0424854i | ||||
\(197\) | −6.20020 | − | 5.14858i | −0.441746 | − | 0.366821i | 0.391079 | − | 0.920357i | \(-0.372102\pi\) |
−0.832825 | + | 0.553536i | \(0.813278\pi\) | |||||||
\(198\) | 2.88899 | + | 8.61957i | 0.205312 | + | 0.612566i | ||||
\(199\) | −3.24207 | − | 0.149890i | −0.229825 | − | 0.0106254i | −0.0690354 | − | 0.997614i | \(-0.521992\pi\) |
−0.160789 | + | 0.986989i | \(0.551404\pi\) | |||||||
\(200\) | 2.51797 | + | 27.1732i | 0.178047 | + | 1.92143i | ||||
\(201\) | 6.83014 | + | 3.01580i | 0.481761 | + | 0.212718i | ||||
\(202\) | 12.4776 | − | 3.55019i | 0.877923 | − | 0.249791i | ||||
\(203\) | −0.0154269 | − | 0.166483i | −0.00108276 | − | 0.0116848i | ||||
\(204\) | 0.0283709 | + | 4.17996i | 0.00198636 | + | 0.292656i | ||||
\(205\) | −0.254422 | + | 2.74565i | −0.0177696 | + | 0.191764i | ||||
\(206\) | −1.48721 | − | 7.95587i | −0.103619 | − | 0.554311i | ||||
\(207\) | 0.878767 | + | 19.0074i | 0.0610785 | + | 1.32111i | ||||
\(208\) | −0.394835 | − | 0.359940i | −0.0273769 | − | 0.0249574i | ||||
\(209\) | −0.786181 | − | 3.34264i | −0.0543813 | − | 0.231215i | ||||
\(210\) | −0.0852861 | + | 0.362614i | −0.00588530 | + | 0.0250228i | ||||
\(211\) | 0.640000 | − | 13.8430i | 0.0440594 | − | 0.952991i | −0.855933 | − | 0.517086i | \(-0.827017\pi\) |
0.899993 | − | 0.435905i | \(-0.143572\pi\) | |||||||
\(212\) | −2.64218 | + | 0.244834i | −0.181466 | + | 0.0168153i | ||||
\(213\) | −0.451544 | + | 0.729269i | −0.0309393 | + | 0.0499687i | ||||
\(214\) | 14.3251 | − | 14.3251i | 0.979240 | − | 0.979240i | ||||
\(215\) | 1.70938 | − | 36.9733i | 0.116579 | − | 2.52156i | ||||
\(216\) | 38.6998 | − | 5.39839i | 2.63319 | − | 0.367314i | ||||
\(217\) | −0.0256243 | + | 0.0514605i | −0.00173949 | + | 0.00349336i | ||||
\(218\) | −9.51941 | − | 21.5594i | −0.644736 | − | 1.46019i | ||||
\(219\) | −5.09565 | − | 5.58966i | −0.344332 | − | 0.377714i | ||||
\(220\) | 0.814793 | + | 0.504498i | 0.0549333 | + | 0.0340133i | ||||
\(221\) | 0.199674 | + | 0.444038i | 0.0134315 | + | 0.0298692i | ||||
\(222\) | −12.8942 | + | 7.98375i | −0.865402 | + | 0.535834i | ||||
\(223\) | 18.6598 | + | 5.30918i | 1.24956 | + | 0.355529i | 0.832843 | − | 0.553509i | \(-0.186712\pi\) |
0.416712 | + | 0.909038i | \(0.363182\pi\) | |||||||
\(224\) | 0.0233804 | + | 0.0233804i | 0.00156217 | + | 0.00156217i | ||||
\(225\) | 80.0143 | + | 14.9573i | 5.33429 | + | 0.997151i | ||||
\(226\) | 0.0314620 | + | 0.680513i | 0.00209282 | + | 0.0452670i | ||||
\(227\) | −0.107406 | − | 0.769971i | −0.00712882 | − | 0.0511048i | 0.986516 | − | 0.163663i | \(-0.0523309\pi\) |
−0.993645 | + | 0.112558i | \(0.964096\pi\) | |||||||
\(228\) | 4.45414 | − | 0.205927i | 0.294983 | − | 0.0136379i | ||||
\(229\) | −5.25055 | − | 13.5532i | −0.346966 | − | 0.895622i | −0.991389 | − | 0.130953i | \(-0.958196\pi\) |
0.644423 | − | 0.764669i | \(-0.277098\pi\) | |||||||
\(230\) | 10.0553 | + | 11.0302i | 0.663029 | + | 0.727308i | ||||
\(231\) | −0.0309215 | − | 0.0372374i | −0.00203449 | − | 0.00245004i | ||||
\(232\) | −9.13400 | + | 20.6865i | −0.599677 | + | 1.35814i | ||||
\(233\) | −1.38755 | + | 0.465059i | −0.0909013 | + | 0.0304671i | −0.362877 | − | 0.931837i | \(-0.618205\pi\) |
0.271975 | + | 0.962304i | \(0.412323\pi\) | |||||||
\(234\) | −1.16898 | + | 0.723803i | −0.0764188 | + | 0.0473165i | ||||
\(235\) | 15.4943 | − | 46.2287i | 1.01074 | − | 3.01563i | ||||
\(236\) | −0.875900 | + | 2.26096i | −0.0570162 | + | 0.147176i | ||||
\(237\) | −8.39876 | + | 3.25370i | −0.545558 | + | 0.211350i | ||||
\(238\) | −0.0437401 | − | 0.110670i | −0.00283525 | − | 0.00717370i | ||||
\(239\) | 12.8906 | + | 4.99385i | 0.833824 | + | 0.323025i | 0.740036 | − | 0.672567i | \(-0.234808\pi\) |
0.0937876 | + | 0.995592i | \(0.470103\pi\) | |||||||
\(240\) | 39.3420 | − | 43.1561i | 2.53951 | − | 2.78571i | ||||
\(241\) | −19.2853 | − | 0.891613i | −1.24228 | − | 0.0574339i | −0.584968 | − | 0.811056i | \(-0.698893\pi\) |
−0.657308 | + | 0.753622i | \(0.728305\pi\) | |||||||
\(242\) | 14.7273 | − | 5.70539i | 0.946707 | − | 0.366756i | ||||
\(243\) | 5.73646 | − | 41.1233i | 0.367994 | − | 2.63806i | ||||
\(244\) | 1.93407 | + | 3.47233i | 0.123816 | + | 0.222293i | ||||
\(245\) | 3.82275 | + | 27.4044i | 0.244227 | + | 1.75080i | ||||
\(246\) | 2.76261 | − | 2.08623i | 0.176138 | − | 0.133013i | ||||
\(247\) | 0.464898 | − | 0.231492i | 0.0295808 | − | 0.0147295i | ||||
\(248\) | 6.41450 | − | 4.39403i | 0.407321 | − | 0.279021i | ||||
\(249\) | −1.75057 | + | 1.75057i | −0.110938 | + | 0.110938i | ||||
\(250\) | 29.5352 | − | 16.4510i | 1.86797 | − | 1.04045i | ||||
\(251\) | 14.7892 | 0.933485 | 0.466743 | − | 0.884393i | \(-0.345427\pi\) | ||||
0.466743 | + | 0.884393i | \(0.345427\pi\) | |||||||
\(252\) | 0.0394556 | − | 0.0219766i | 0.00248547 | − | 0.00138440i | ||||
\(253\) | −1.93110 | + | 0.178942i | −0.121407 | + | 0.0112500i | ||||
\(254\) | −3.42777 | + | 12.0474i | −0.215077 | + | 0.755918i | ||||
\(255\) | −48.5340 | + | 21.8247i | −3.03932 | + | 1.36671i | ||||
\(256\) | −1.99279 | − | 7.00393i | −0.124549 | − | 0.437746i | ||||
\(257\) | 7.45675 | + | 19.2481i | 0.465139 | + | 1.20066i | 0.946087 | + | 0.323913i | \(0.104999\pi\) |
−0.480948 | + | 0.876749i | \(0.659707\pi\) | |||||||
\(258\) | −35.7497 | + | 29.6862i | −2.22568 | + | 1.84818i | ||||
\(259\) | 0.0349666 | − | 0.0463032i | 0.00217272 | − | 0.00287714i | ||||
\(260\) | −0.0460611 | + | 0.137428i | −0.00285659 | + | 0.00852289i | ||||
\(261\) | 51.8930 | + | 43.0914i | 3.21209 | + | 2.66729i | ||||
\(262\) | 2.23360 | − | 0.525337i | 0.137992 | − | 0.0324554i | ||||
\(263\) | −11.9255 | − | 9.00569i | −0.735355 | − | 0.555314i | 0.167182 | − | 0.985926i | \(-0.446533\pi\) |
−0.902537 | + | 0.430612i | \(0.858298\pi\) | |||||||
\(264\) | 1.20290 | + | 6.43494i | 0.0740333 | + | 0.396043i | ||||
\(265\) | −16.4380 | − | 29.5119i | −1.00978 | − | 1.81290i | ||||
\(266\) | −0.116123 | + | 0.0512732i | −0.00711995 | + | 0.00314376i | ||||
\(267\) | −14.1748 | + | 11.7706i | −0.867483 | + | 0.720349i | ||||
\(268\) | −0.603712 | − | 0.373803i | −0.0368776 | − | 0.0228336i | ||||
\(269\) | −11.1205 | − | 2.61552i | −0.678029 | − | 0.159471i | −0.124397 | − | 0.992233i | \(-0.539700\pi\) |
−0.553632 | + | 0.832762i | \(0.686758\pi\) | |||||||
\(270\) | −48.1294 | − | 77.7316i | −2.92906 | − | 4.73059i | ||||
\(271\) | 11.3951 | + | 15.0895i | 0.692200 | + | 0.916621i | 0.999386 | − | 0.0350283i | \(-0.0111521\pi\) |
−0.307186 | + | 0.951649i | \(0.599387\pi\) | |||||||
\(272\) | −2.45190 | + | 18.4936i | −0.148668 | + | 1.12134i | ||||
\(273\) | 0.00441157 | − | 0.00584186i | 0.000267000 | − | 0.000353565i | ||||
\(274\) | −19.0404 | − | 1.76435i | −1.15027 | − | 0.106588i | ||||
\(275\) | −1.14622 | + | 8.21702i | −0.0691200 | + | 0.495505i | ||||
\(276\) | 0.232359 | − | 2.50755i | 0.0139864 | − | 0.150937i | ||||
\(277\) | 4.70933 | − | 8.45486i | 0.282956 | − | 0.508004i | −0.694404 | − | 0.719585i | \(-0.744332\pi\) |
0.977360 | + | 0.211582i | \(0.0678614\pi\) | |||||||
\(278\) | −13.4040 | − | 4.49255i | −0.803916 | − | 0.269445i | ||||
\(279\) | −7.37023 | − | 21.9898i | −0.441244 | − | 1.31649i | ||||
\(280\) | −0.0696319 | + | 0.179741i | −0.00416130 | + | 0.0107416i | ||||
\(281\) | 12.6498 | + | 1.17217i | 0.754622 | + | 0.0699261i | 0.462699 | − | 0.886516i | \(-0.346881\pi\) |
0.291924 | + | 0.956442i | \(0.405705\pi\) | |||||||
\(282\) | −55.9962 | + | 24.7248i | −3.33453 | + | 1.47234i | ||||
\(283\) | −7.38297 | + | 0.341335i | −0.438872 | + | 0.0202903i | −0.264491 | − | 0.964388i | \(-0.585204\pi\) |
−0.174381 | + | 0.984678i | \(0.555792\pi\) | |||||||
\(284\) | 0.0521133 | − | 0.0627576i | 0.00309235 | − | 0.00372398i | ||||
\(285\) | 25.3024 | + | 50.8141i | 1.49878 | + | 3.00996i | ||||
\(286\) | −0.0791963 | − | 0.115612i | −0.00468297 | − | 0.00683630i | ||||
\(287\) | −0.00697244 | + | 0.0112609i | −0.000411570 | + | 0.000664709i | ||||
\(288\) | −13.3393 | −0.786029 | ||||||||
\(289\) | 8.75233 | − | 14.5738i | 0.514843 | − | 0.857285i | ||||
\(290\) | 52.9102 | 3.10699 | ||||||||
\(291\) | −25.5188 | + | 41.2142i | −1.49594 | + | 2.41602i | ||||
\(292\) | 0.406521 | + | 0.593447i | 0.0237898 | + | 0.0347289i | ||||
\(293\) | 5.52681 | + | 11.0993i | 0.322880 | + | 0.648430i | 0.995827 | − | 0.0912603i | \(-0.0290895\pi\) |
−0.672947 | + | 0.739691i | \(0.734972\pi\) | |||||||
\(294\) | 22.1926 | − | 26.7255i | 1.29430 | − | 1.55867i | ||||
\(295\) | −30.8352 | + | 1.42560i | −1.79530 | + | 0.0830015i | ||||
\(296\) | −7.17895 | + | 3.16982i | −0.417268 | + | 0.184242i | ||||
\(297\) | 11.8287 | + | 1.09609i | 0.686373 | + | 0.0636019i | ||||
\(298\) | 9.47764 | − | 24.4646i | 0.549025 | − | 1.41720i | ||||
\(299\) | −0.0932131 | − | 0.278110i | −0.00539065 | − | 0.0160835i | ||||
\(300\) | −10.2147 | − | 3.42364i | −0.589748 | − | 0.197664i | ||||
\(301\) | 0.0865104 | − | 0.155316i | 0.00498638 | − | 0.00895226i | ||||
\(302\) | 2.57319 | − | 27.7692i | 0.148071 | − | 1.59794i | ||||
\(303\) | 3.84977 | − | 27.5981i | 0.221163 | − | 1.58547i | ||||
\(304\) | 19.8150 | + | 1.83613i | 1.13647 | + | 0.105309i | ||||
\(305\) | −30.4933 | + | 40.3797i | −1.74604 | + | 2.31214i | ||||
\(306\) | 44.0484 | + | 19.0931i | 2.51808 | + | 1.09148i | ||||
\(307\) | 12.4857 | + | 16.5337i | 0.712596 | + | 0.943630i | 0.999899 | − | 0.0142101i | \(-0.00452336\pi\) |
−0.287303 | + | 0.957840i | \(0.592759\pi\) | |||||||
\(308\) | 0.00242326 | + | 0.00391371i | 0.000138078 | + | 0.000223004i | ||||
\(309\) | −16.9232 | − | 3.98030i | −0.962727 | − | 0.226431i | ||||
\(310\) | −15.4673 | − | 9.57694i | −0.878483 | − | 0.543934i | ||||
\(311\) | −21.3754 | + | 17.7499i | −1.21209 | + | 1.00651i | −0.212519 | + | 0.977157i | \(0.568167\pi\) |
−0.999569 | + | 0.0293484i | \(0.990657\pi\) | |||||||
\(312\) | −0.905734 | + | 0.399921i | −0.0512771 | + | 0.0226411i | ||||
\(313\) | −1.63488 | − | 2.93517i | −0.0924087 | − | 0.165905i | 0.823471 | − | 0.567359i | \(-0.192035\pi\) |
−0.915880 | + | 0.401453i | \(0.868505\pi\) | |||||||
\(314\) | 1.35269 | + | 7.23623i | 0.0763365 | + | 0.408364i | ||||
\(315\) | 0.458830 | + | 0.346492i | 0.0258521 | + | 0.0195226i | ||||
\(316\) | 0.833838 | − | 0.196117i | 0.0469070 | − | 0.0110324i | ||||
\(317\) | 15.3531 | + | 12.7491i | 0.862316 | + | 0.716058i | 0.960252 | − | 0.279135i | \(-0.0900476\pi\) |
−0.0979360 | + | 0.995193i | \(0.531224\pi\) | |||||||
\(318\) | −13.4779 | + | 40.2125i | −0.755802 | + | 2.25501i | ||||
\(319\) | −4.14306 | + | 5.48629i | −0.231967 | + | 0.307173i | ||||
\(320\) | 19.4705 | − | 16.1681i | 1.08843 | − | 0.903822i | ||||
\(321\) | −15.7194 | − | 40.5766i | −0.877374 | − | 2.26476i | ||||
\(322\) | 0.0196196 | + | 0.0689557i | 0.00109336 | + | 0.00384275i | ||||
\(323\) | −15.9018 | − | 8.71637i | −0.884800 | − | 0.484992i | ||||
\(324\) | −2.26864 | + | 7.97345i | −0.126036 | + | 0.442969i | ||||
\(325\) | −1.24944 | + | 0.115778i | −0.0693067 | + | 0.00642221i | ||||
\(326\) | 15.4648 | − | 8.61385i | 0.856517 | − | 0.477077i | ||||
\(327\) | −50.6223 | −2.79942 | ||||||||
\(328\) | 1.56497 | − | 0.871680i | 0.0864108 | − | 0.0481305i | ||||
\(329\) | 0.165598 | − | 0.165598i | 0.00912972 | − | 0.00912972i | ||||
\(330\) | 12.6366 | − | 8.65627i | 0.695622 | − | 0.476512i | ||||
\(331\) | 5.81974 | − | 2.89788i | 0.319882 | − | 0.159282i | −0.278625 | − | 0.960400i | \(-0.589879\pi\) |
0.598507 | + | 0.801118i | \(0.295761\pi\) | |||||||
\(332\) | 0.187888 | − | 0.141887i | 0.0103117 | − | 0.00778705i | ||||
\(333\) | 3.23398 | + | 23.1837i | 0.177221 | + | 1.27046i | ||||
\(334\) | 4.46832 | + | 8.02217i | 0.244496 | + | 0.438954i | ||||
\(335\) | 1.24889 | − | 8.95301i | 0.0682343 | − | 0.489155i | ||||
\(336\) | 0.261559 | − | 0.101328i | 0.0142692 | − | 0.00552792i | ||||
\(337\) | 25.5991 | + | 1.18352i | 1.39447 | + | 0.0644704i | 0.730310 | − | 0.683116i | \(-0.239376\pi\) |
0.664164 | + | 0.747587i | \(0.268788\pi\) | |||||||
\(338\) | −13.2983 | + | 14.5875i | −0.723330 | + | 0.793455i | ||||
\(339\) | 1.36447 | + | 0.528598i | 0.0741078 | + | 0.0287095i | ||||
\(340\) | 4.85822 | − | 1.41800i | 0.263474 | − | 0.0769016i | ||||
\(341\) | 2.20418 | − | 0.853906i | 0.119363 | − | 0.0462416i | ||||
\(342\) | 18.4995 | − | 47.7527i | 1.00034 | − | 2.58217i | ||||
\(343\) | −0.0844753 | + | 0.252040i | −0.00456124 | + | 0.0136089i | ||||
\(344\) | −20.4438 | + | 12.6582i | −1.10225 | + | 0.682487i | ||||
\(345\) | 30.3978 | − | 10.1883i | 1.63657 | − | 0.548521i | ||||
\(346\) | 0.796964 | − | 1.80495i | 0.0428451 | − | 0.0970348i | ||||
\(347\) | 8.06569 | + | 9.71314i | 0.432989 | + | 0.521428i | 0.940306 | − | 0.340331i | \(-0.110539\pi\) |
−0.507317 | + | 0.861760i | \(0.669363\pi\) | |||||||
\(348\) | −6.01419 | − | 6.59725i | −0.322394 | − | 0.353650i | ||||
\(349\) | 3.38719 | + | 8.74334i | 0.181312 | + | 0.468020i | 0.993288 | − | 0.115671i | \(-0.0369019\pi\) |
−0.811976 | + | 0.583691i | \(0.801608\pi\) | |||||||
\(350\) | 0.306372 | − | 0.0141644i | 0.0163763 | − | 0.000757120i | ||||
\(351\) | 0.248222 | + | 1.77945i | 0.0132491 | + | 0.0949798i | ||||
\(352\) | −0.0627905 | − | 1.35814i | −0.00334675 | − | 0.0723890i | ||||
\(353\) | −24.6480 | − | 4.60750i | −1.31188 | − | 0.245233i | −0.519085 | − | 0.854723i | \(-0.673727\pi\) |
−0.792794 | + | 0.609490i | \(0.791374\pi\) | |||||||
\(354\) | 27.4032 | + | 27.4032i | 1.45646 | + | 1.45646i | ||||
\(355\) | 0.998854 | + | 0.284198i | 0.0530137 | + | 0.0150837i | ||||
\(356\) | 1.48979 | − | 0.922440i | 0.0789588 | − | 0.0488892i | ||||
\(357\) | −0.255411 | − | 0.0100716i | −0.0135178 | − | 0.000533048i | ||||
\(358\) | −15.3757 | − | 9.52022i | −0.812630 | − | 0.503159i | ||||
\(359\) | 7.55313 | + | 8.28539i | 0.398639 | + | 0.437286i | 0.905244 | − | 0.424892i | \(-0.139688\pi\) |
−0.506605 | + | 0.862178i | \(0.669100\pi\) | |||||||
\(360\) | −31.4105 | − | 71.1379i | −1.65548 | − | 3.74930i | ||||
\(361\) | −0.153193 | + | 0.307653i | −0.00806279 | + | 0.0161923i | ||||
\(362\) | 1.96208 | − | 0.273698i | 0.103124 | − | 0.0143852i | ||||
\(363\) | 1.56676 | − | 33.8885i | 0.0822335 | − | 1.77868i | ||||
\(364\) | −0.000492286 | 0 | 0.000492286i | −2.58028e−5 | 0 | 2.58028e-5i | ||||
\(365\) | −4.82088 | + | 7.78598i | −0.252336 | + | 0.407537i | ||||
\(366\) | 63.2558 | − | 5.86151i | 3.30643 | − | 0.306386i | ||||
\(367\) | 1.21114 | − | 26.1966i | 0.0632210 | − | 1.36745i | −0.696666 | − | 0.717395i | \(-0.745334\pi\) |
0.759887 | − | 0.650055i | \(-0.225254\pi\) | |||||||
\(368\) | 2.57319 | − | 10.9405i | 0.134137 | − | 0.570314i | ||||
\(369\) | −1.22335 | − | 5.20138i | −0.0636852 | − | 0.270773i | ||||
\(370\) | 13.5694 | + | 12.3702i | 0.705442 | + | 0.643095i | ||||
\(371\) | −0.00749378 | − | 0.162088i | −0.000389058 | − | 0.00841519i | ||||
\(372\) | 0.564007 | + | 3.01717i | 0.0292424 | + | 0.156433i | ||||
\(373\) | 3.13681 | − | 33.8515i | 0.162418 | − | 1.75277i | −0.391486 | − | 0.920184i | \(-0.628039\pi\) |
0.553903 | − | 0.832581i | \(-0.313138\pi\) | |||||||
\(374\) | −1.73661 | + | 4.57463i | −0.0897978 | + | 0.236549i | ||||
\(375\) | −6.70035 | − | 72.3083i | −0.346005 | − | 3.73399i | ||||
\(376\) | −30.4653 | + | 8.66812i | −1.57113 | + | 0.447024i | ||||
\(377\) | −0.951184 | − | 0.419989i | −0.0489884 | − | 0.0216305i | ||||
\(378\) | −0.0405193 | − | 0.437272i | −0.00208409 | − | 0.0224909i | ||||
\(379\) | 28.4944 | + | 1.31738i | 1.46366 | + | 0.0676691i | 0.763264 | − | 0.646086i | \(-0.223595\pi\) |
0.700395 | + | 0.713755i | \(0.253007\pi\) | |||||||
\(380\) | −1.71561 | − | 5.11867i | −0.0880087 | − | 0.262582i | ||||
\(381\) | 20.6985 | + | 17.1878i | 1.06041 | + | 0.880557i | ||||
\(382\) | 6.77605 | + | 1.92795i | 0.346693 | + | 0.0986427i | ||||
\(383\) | −4.55574 | + | 24.3710i | −0.232787 | + | 1.24530i | 0.644226 | + | 0.764835i | \(0.277180\pi\) |
−0.877013 | + | 0.480467i | \(0.840467\pi\) | |||||||
\(384\) | −42.7312 | − | 5.96074i | −2.18062 | − | 0.304183i | ||||
\(385\) | −0.0331181 | + | 0.0483465i | −0.00168786 | + | 0.00246396i | ||||
\(386\) | −2.62450 | − | 5.94392i | −0.133583 | − | 0.302537i | ||||
\(387\) | 19.6280 | + | 68.9853i | 0.997747 | + | 3.50672i | ||||
\(388\) | 2.94515 | − | 3.54671i | 0.149517 | − | 0.180057i | ||||
\(389\) | −7.54822 | + | 5.70015i | −0.382710 | + | 0.289009i | −0.776408 | − | 0.630231i | \(-0.782960\pi\) |
0.393698 | + | 0.919240i | \(0.371196\pi\) | |||||||
\(390\) | 1.71199 | + | 1.56069i | 0.0866900 | + | 0.0790284i | ||||
\(391\) | −6.11641 | + | 8.21478i | −0.309320 | + | 0.415439i | ||||
\(392\) | 13.2842 | − | 12.1101i | 0.670953 | − | 0.611654i | ||||
\(393\) | 0.905630 | − | 4.84469i | 0.0456830 | − | 0.244382i | ||||
\(394\) | 11.6152 | − | 3.89302i | 0.585166 | − | 0.196128i | ||||
\(395\) | 6.57175 | + | 8.70241i | 0.330661 | + | 0.437866i | ||||
\(396\) | −1.80773 | − | 0.425175i | −0.0908420 | − | 0.0213658i | ||||
\(397\) | −12.1603 | − | 14.6440i | −0.610306 | − | 0.734964i | 0.370740 | − | 0.928737i | \(-0.379104\pi\) |
−0.981046 | + | 0.193773i | \(0.937928\pi\) | |||||||
\(398\) | 2.78801 | − | 4.06999i | 0.139750 | − | 0.204010i | ||||
\(399\) | 0.272661i | 0.0136501i | ||||||||
\(400\) | −43.0398 | − | 21.4313i | −2.15199 | − | 1.07156i | ||||
\(401\) | 3.09855 | − | 13.1742i | 0.154734 | − | 0.657889i | −0.838808 | − | 0.544427i | \(-0.816747\pi\) |
0.993542 | − | 0.113462i | \(-0.0361939\pi\) | |||||||
\(402\) | −9.36295 | + | 6.41377i | −0.466982 | + | 0.319890i | ||||
\(403\) | 0.202041 | + | 0.294944i | 0.0100644 | + | 0.0146922i | ||||
\(404\) | −0.725227 | + | 2.54891i | −0.0360814 | + | 0.126813i | ||||
\(405\) | −104.525 | + | 14.5806i | −5.19387 | + | 0.724514i | ||||
\(406\) | 0.227500 | + | 0.113282i | 0.0112907 | + | 0.00562208i | ||||
\(407\) | −2.34521 | + | 0.438395i | −0.116248 | + | 0.0217305i | ||||
\(408\) | 29.5160 | + | 17.9995i | 1.46126 | + | 0.891110i | ||||
\(409\) | 9.47095 | + | 1.77043i | 0.468308 | + | 0.0875420i | 0.412614 | − | 0.910906i | \(-0.364616\pi\) |
0.0556940 | + | 0.998448i | \(0.482263\pi\) | |||||||
\(410\) | −3.34478 | − | 2.52586i | −0.165187 | − | 0.124743i | ||||
\(411\) | −19.9865 | + | 35.8826i | −0.985861 | + | 1.76996i | ||||
\(412\) | 1.54171 | + | 0.597263i | 0.0759548 | + | 0.0294250i | ||||
\(413\) | −0.135636 | − | 0.0598891i | −0.00667421 | − | 0.00294695i | ||||
\(414\) | −25.2677 | − | 14.0740i | −1.24184 | − | 0.691699i | ||||
\(415\) | 2.61858 | + | 1.45854i | 0.128541 | + | 0.0715968i | ||||
\(416\) | 0.197778 | − | 0.0562728i | 0.00969688 | − | 0.00275900i | ||||
\(417\) | −20.4570 | + | 22.4403i | −1.00179 | + | 1.09891i | ||||
\(418\) | 4.94899 | + | 1.65874i | 0.242063 | + | 0.0811314i | ||||
\(419\) | −7.36010 | + | 1.73108i | −0.359564 | + | 0.0845687i | −0.404794 | − | 0.914408i | \(-0.632657\pi\) |
0.0452299 | + | 0.998977i | \(0.485598\pi\) | |||||||
\(420\) | −0.0538076 | − | 0.0538076i | −0.00262554 | − | 0.00262554i | ||||
\(421\) | 2.60730 | − | 2.37686i | 0.127072 | − | 0.115841i | −0.607665 | − | 0.794193i | \(-0.707894\pi\) |
0.734737 | + | 0.678352i | \(0.237306\pi\) | |||||||
\(422\) | 17.3780 | + | 11.9042i | 0.845949 | + | 0.579488i | ||||
\(423\) | 94.4796i | 4.59375i | ||||||||
\(424\) | −9.78212 | + | 19.6452i | −0.475062 | + | 0.954053i | ||||
\(425\) | 28.2185 | + | 33.5168i | 1.36880 | + | 1.62580i | ||||
\(426\) | −0.581155 | − | 1.16712i | −0.0281570 | − | 0.0565470i | ||||
\(427\) | −0.217568 | + | 0.108336i | −0.0105288 | + | 0.00524274i | ||||
\(428\) | 0.947491 | + | 4.02848i | 0.0457987 | + | 0.194724i | ||||
\(429\) | −0.295884 | + | 0.0553103i | −0.0142854 | + | 0.00267040i | ||||
\(430\) | 46.4150 | + | 31.7950i | 2.23833 | + | 1.53329i | ||||
\(431\) | −13.7924 | − | 1.92396i | −0.664358 | − | 0.0926740i | −0.202025 | − | 0.979380i | \(-0.564752\pi\) |
−0.462333 | + | 0.886706i | \(0.652988\pi\) | |||||||
\(432\) | −27.8074 | + | 62.9778i | −1.33789 | + | 3.03002i | ||||
\(433\) | 14.5024 | + | 23.4222i | 0.696942 | + | 1.12560i | 0.985751 | + | 0.168213i | \(0.0537997\pi\) |
−0.288809 | + | 0.957387i | \(0.593259\pi\) | |||||||
\(434\) | −0.0460011 | − | 0.0742943i | −0.00220812 | − | 0.00356624i | ||||
\(435\) | 45.9054 | − | 103.966i | 2.20099 | − | 4.98478i | ||||
\(436\) | 4.76816 | + | 0.665130i | 0.228353 | + | 0.0318539i | ||||
\(437\) | 9.01304 | + | 6.17407i | 0.431152 | + | 0.295346i | ||||
\(438\) | 11.3014 | − | 2.11259i | 0.540001 | − | 0.100944i | ||||
\(439\) | 8.40390 | + | 35.7312i | 0.401096 | + | 1.70536i | 0.670145 | + | 0.742231i | \(0.266232\pi\) |
−0.269048 | + | 0.963127i | \(0.586709\pi\) | |||||||
\(440\) | 7.09501 | − | 3.53290i | 0.338241 | − | 0.168424i | ||||
\(441\) | −23.8998 | − | 47.9972i | −1.13809 | − | 2.28558i | ||||
\(442\) | −0.733636 | − | 0.0972663i | −0.0348955 | − | 0.00462649i | ||||
\(443\) | 8.10280 | − | 16.2726i | 0.384976 | − | 0.773135i | −0.614905 | − | 0.788601i | \(-0.710806\pi\) |
0.999880 | + | 0.0154661i | \(0.00492320\pi\) | |||||||
\(444\) | − | 3.09804i | − | 0.147026i | ||||||
\(445\) | 18.4036 | + | 12.6067i | 0.872413 | + | 0.597617i | ||||
\(446\) | −21.7929 | + | 19.8669i | −1.03192 | + | 0.940723i | ||||
\(447\) | −39.8488 | − | 39.8488i | −1.88479 | − | 1.88479i | ||||
\(448\) | 0.118334 | − | 0.0278320i | 0.00559077 | − | 0.00131494i | ||||
\(449\) | −23.3682 | − | 7.83224i | −1.10282 | − | 0.369626i | −0.292882 | − | 0.956149i | \(-0.594614\pi\) |
−0.809933 | + | 0.586522i | \(0.800497\pi\) | |||||||
\(450\) | −83.3573 | + | 91.4386i | −3.92950 | + | 4.31046i | ||||
\(451\) | 0.523817 | − | 0.149039i | 0.0246656 | − | 0.00701796i | ||||
\(452\) | −0.121575 | − | 0.0677171i | −0.00571843 | − | 0.00318514i | ||||
\(453\) | −52.3325 | − | 29.1490i | −2.45879 | − | 1.36954i | ||||
\(454\) | 1.08103 | + | 0.477320i | 0.0507351 | + | 0.0224017i | ||||
\(455\) | −0.00826461 | − | 0.00320173i | −0.000387451 | − | 0.000150099i | ||||
\(456\) | 17.9447 | − | 32.2170i | 0.840340 | − | 1.50870i | ||||
\(457\) | 23.4235 | + | 17.6886i | 1.09570 | + | 0.827438i | 0.986036 | − | 0.166531i | \(-0.0532565\pi\) |
0.109668 | + | 0.993968i | \(0.465021\pi\) | |||||||
\(458\) | 21.7171 | + | 4.05963i | 1.01477 | + | 0.189694i | ||||
\(459\) | 46.0736 | − | 42.5778i | 2.15053 | − | 1.98736i | ||||
\(460\) | −2.99707 | + | 0.560249i | −0.139739 | + | 0.0261217i | ||||
\(461\) | −4.82004 | − | 2.40009i | −0.224492 | − | 0.111784i | 0.329975 | − | 0.943990i | \(-0.392960\pi\) |
−0.554466 | + | 0.832206i | \(0.687077\pi\) | |||||||
\(462\) | 0.0728674 | − | 0.0101646i | 0.00339010 | − | 0.000472899i | ||||
\(463\) | 2.78128 | − | 9.77519i | 0.129257 | − | 0.454292i | −0.869991 | − | 0.493068i | \(-0.835875\pi\) |
0.999248 | + | 0.0387763i | \(0.0123460\pi\) | |||||||
\(464\) | −22.5159 | − | 32.8691i | −1.04527 | − | 1.52591i | ||||
\(465\) | −32.2378 | + | 22.0834i | −1.49499 | + | 1.02409i | ||||
\(466\) | 0.509286 | − | 2.16535i | 0.0235922 | − | 0.100308i | ||||
\(467\) | −33.6431 | − | 16.7523i | −1.55682 | − | 0.775203i | −0.558301 | − | 0.829639i | \(-0.688546\pi\) |
−0.998517 | + | 0.0544356i | \(0.982664\pi\) | |||||||
\(468\) | − | 0.280867i | − | 0.0129831i | ||||||
\(469\) | 0.0245385 | − | 0.0358218i | 0.00113308 | − | 0.00165410i | ||||
\(470\) | 47.3456 | + | 57.0162i | 2.18389 | + | 2.62996i | ||||
\(471\) | 15.3924 | + | 3.62027i | 0.709246 | + | 0.166813i | ||||
\(472\) | 12.0849 | + | 16.0030i | 0.556254 | + | 0.736599i | ||||
\(473\) | −6.93130 | + | 2.32314i | −0.318702 | + | 0.106818i | ||||
\(474\) | 2.51570 | − | 13.4578i | 0.115550 | − | 0.618139i | ||||
\(475\) | 34.5388 | − | 31.4862i | 1.58475 | − | 1.44469i | ||||
\(476\) | 0.0239251 | + | 0.00430453i | 0.00109660 | + | 0.000197298i | ||||
\(477\) | 48.3762 | + | 44.1007i | 2.21499 | + | 2.01923i | ||||
\(478\) | −16.7689 | + | 12.6633i | −0.766990 | + | 0.579204i | ||||
\(479\) | 20.8587 | − | 25.1192i | 0.953060 | − | 1.14773i | −0.0358716 | − | 0.999356i | \(-0.511421\pi\) |
0.988932 | − | 0.148370i | \(-0.0474028\pi\) | |||||||
\(480\) | 6.15070 | + | 21.6175i | 0.280740 | + | 0.986697i | ||||
\(481\) | −0.145751 | − | 0.330094i | −0.00664566 | − | 0.0150510i | ||||
\(482\) | 16.5843 | − | 24.2101i | 0.755395 | − | 1.10274i | ||||
\(483\) | 0.152517 | + | 0.0212752i | 0.00693975 | + | 0.000968053i | ||||
\(484\) | −0.592838 | + | 3.17140i | −0.0269472 | + | 0.144155i | ||||
\(485\) | 56.4496 | + | 16.0613i | 2.56325 | + | 0.729307i | ||||
\(486\) | 48.5559 | + | 40.3203i | 2.20254 | + | 1.82897i | ||||
\(487\) | 1.12472 | + | 3.35570i | 0.0509658 | + | 0.152061i | 0.970590 | − | 0.240737i | \(-0.0773893\pi\) |
−0.919624 | + | 0.392799i | \(0.871507\pi\) | |||||||
\(488\) | 32.8373 | + | 1.51816i | 1.48647 | + | 0.0687238i | ||||
\(489\) | −3.50834 | − | 37.8611i | −0.158653 | − | 1.71214i | ||||
\(490\) | −38.4754 | − | 16.9885i | −1.73814 | − | 0.767464i | ||||
\(491\) | −1.04025 | + | 0.295978i | −0.0469460 | + | 0.0133573i | −0.297055 | − | 0.954861i | \(-0.596004\pi\) |
0.250108 | + | 0.968218i | \(0.419534\pi\) | |||||||
\(492\) | 0.0652503 | + | 0.704163i | 0.00294171 | + | 0.0317461i | ||||
\(493\) | 6.91330 | + | 35.6418i | 0.311359 | + | 1.60523i | ||||
\(494\) | −0.0728387 | + | 0.786055i | −0.00327717 | + | 0.0353663i | ||||
\(495\) | −4.34416 | − | 23.2392i | −0.195256 | − | 1.04452i | ||||
\(496\) | 0.632656 | + | 13.6841i | 0.0284071 | + | 0.614436i | ||||
\(497\) | 0.00368635 | + | 0.00336055i | 0.000165355 | + | 0.000150741i | ||||
\(498\) | −0.861568 | − | 3.66316i | −0.0386078 | − | 0.164150i | ||||
\(499\) | −5.45689 | + | 23.2013i | −0.244284 | + | 1.03863i | 0.701200 | + | 0.712964i | \(0.252648\pi\) |
−0.945484 | + | 0.325668i | \(0.894411\pi\) | |||||||
\(500\) | −0.318952 | + | 6.89883i | −0.0142640 | + | 0.308525i | ||||
\(501\) | 19.6399 | − | 1.81991i | 0.877447 | − | 0.0813074i | ||||
\(502\) | −11.8343 | + | 19.1130i | −0.528188 | + | 0.853054i | ||||
\(503\) | 0.684566 | − | 0.684566i | 0.0305233 | − | 0.0305233i | −0.691680 | − | 0.722204i | \(-0.743129\pi\) |
0.722204 | + | 0.691680i | \(0.243129\pi\) | |||||||
\(504\) | 0.0172506 | − | 0.373126i | 0.000768405 | − | 0.0166203i | ||||
\(505\) | −33.4139 | + | 4.66104i | −1.48690 | + | 0.207413i | ||||
\(506\) | 1.31400 | − | 2.63886i | 0.0584143 | − | 0.117312i | ||||
\(507\) | 17.1260 | + | 38.7867i | 0.760592 | + | 1.72258i | ||||
\(508\) | −1.72378 | − | 1.89089i | −0.0764802 | − | 0.0838948i | ||||
\(509\) | 8.45187 | + | 5.23318i | 0.374623 | + | 0.231957i | 0.700809 | − | 0.713349i | \(-0.252823\pi\) |
−0.326186 | + | 0.945306i | \(0.605764\pi\) | |||||||
\(510\) | 10.6314 | − | 80.1875i | 0.470764 | − | 3.55076i | ||||
\(511\) | −0.0373985 | + | 0.0231562i | −0.00165441 | + | 0.00102437i | ||||
\(512\) | −14.7737 | − | 4.20347i | −0.652910 | − | 0.185769i | ||||
\(513\) | −47.3193 | − | 47.3193i | −2.08920 | − | 2.08920i | ||||
\(514\) | −30.8423 | − | 5.76543i | −1.36040 | − | 0.254302i | ||||
\(515\) | 0.972094 | + | 21.0261i | 0.0428356 | + | 0.926519i | ||||
\(516\) | −1.31145 | − | 9.40145i | −0.0577332 | − | 0.413876i | ||||
\(517\) | −9.61939 | + | 0.444731i | −0.423060 | + | 0.0195592i | ||||
\(518\) | 0.0318604 | + | 0.0822411i | 0.00139986 | + | 0.00361347i | ||||
\(519\) | −2.85519 | − | 3.13199i | −0.125329 | − | 0.137479i | ||||
\(520\) | 0.765812 | + | 0.922232i | 0.0335831 | + | 0.0404426i | ||||
\(521\) | 12.9367 | − | 29.2989i | 0.566768 | − | 1.28361i | −0.368488 | − | 0.929633i | \(-0.620124\pi\) |
0.935255 | − | 0.353974i | \(-0.115170\pi\) | |||||||
\(522\) | −97.2141 | + | 32.5829i | −4.25495 | + | 1.42611i | ||||
\(523\) | −34.5341 | + | 21.3826i | −1.51007 | + | 0.934996i | −0.513009 | + | 0.858383i | \(0.671469\pi\) |
−0.997061 | + | 0.0766128i | \(0.975589\pi\) | |||||||
\(524\) | −0.148957 | + | 0.444427i | −0.00650721 | + | 0.0194149i | ||||
\(525\) | 0.237979 | − | 0.614294i | 0.0103862 | − | 0.0268100i | ||||
\(526\) | 21.1813 | − | 8.20568i | 0.923548 | − | 0.357785i | ||||
\(527\) | 4.43033 | − | 11.6706i | 0.192988 | − | 0.508377i | ||||
\(528\) | −10.7550 | − | 4.16651i | −0.468051 | − | 0.181324i | ||||
\(529\) | −11.3382 | + | 12.4374i | −0.492964 | + | 0.540756i | ||||
\(530\) | 51.2937 | + | 2.37145i | 2.22805 | + | 0.103009i | ||||
\(531\) | 55.7770 | − | 21.6081i | 2.42051 | − | 0.937712i | ||||
\(532\) | 0.00358251 | − | 0.0256822i | 0.000155321 | − | 0.00111346i | ||||
\(533\) | 0.0400805 | + | 0.0719584i | 0.00173608 | + | 0.00311686i | ||||
\(534\) | −3.86925 | − | 27.7377i | −0.167439 | − | 1.20033i | ||||
\(535\) | −42.0436 | + | 31.7498i | −1.81770 | + | 1.37266i | ||||
\(536\) | −5.25697 | + | 2.61766i | −0.227067 | + | 0.113066i | ||||
\(537\) | −32.0468 | + | 21.9526i | −1.38292 | + | 0.947324i | ||||
\(538\) | 12.2788 | − | 12.2788i | 0.529375 | − | 0.529375i | ||||
\(539\) | 4.77431 | − | 2.65928i | 0.205644 | − | 0.114543i | ||||
\(540\) | 18.6763 | 0.803698 | ||||||||
\(541\) | 8.78381 | − | 4.89255i | 0.377646 | − | 0.210347i | −0.286280 | − | 0.958146i | \(-0.592419\pi\) |
0.663925 | + | 0.747799i | \(0.268889\pi\) | |||||||
\(542\) | −28.6193 | + | 2.65197i | −1.22931 | + | 0.113912i | ||||
\(543\) | 1.16451 | − | 4.09284i | 0.0499741 | − | 0.175641i | ||||
\(544\) | −5.55478 | − | 4.54928i | −0.238159 | − | 0.195049i | ||||
\(545\) | 16.7728 | + | 58.9503i | 0.718468 | + | 2.52515i | ||||
\(546\) | 0.00401967 | + | 0.0103760i | 0.000172026 | + | 0.000444050i | ||||
\(547\) | 1.33564 | − | 1.10910i | 0.0571079 | − | 0.0474218i | −0.609853 | − | 0.792515i | \(-0.708771\pi\) |
0.666961 | + | 0.745093i | \(0.267595\pi\) | |||||||
\(548\) | 2.35401 | − | 3.11722i | 0.100558 | − | 0.133161i | ||||
\(549\) | 31.1603 | − | 92.9697i | 1.32989 | − | 3.96785i | ||||
\(550\) | −9.70215 | − | 8.05656i | −0.413701 | − | 0.343533i | ||||
\(551\) | 37.6993 | − | 8.86679i | 1.60604 | − | 0.377738i | ||||
\(552\) | −16.6208 | − | 12.5515i | −0.707430 | − | 0.534226i | ||||
\(553\) | 0.00962486 | + | 0.0514884i | 0.000409291 | + | 0.00218951i | ||||
\(554\) | 7.15835 | + | 12.8517i | 0.304129 | + | 0.546016i | ||||
\(555\) | 36.0798 | − | 15.9308i | 1.53150 | − | 0.676224i | ||||
\(556\) | 2.22171 | − | 1.84489i | 0.0942216 | − | 0.0782406i | ||||
\(557\) | −7.11910 | − | 4.40796i | −0.301646 | − | 0.186771i | 0.367260 | − | 0.930118i | \(-0.380296\pi\) |
−0.668906 | + | 0.743347i | \(0.733237\pi\) | |||||||
\(558\) | 34.3164 | + | 8.07114i | 1.45273 | + | 0.341678i | ||||
\(559\) | −0.582036 | − | 0.940020i | −0.0246175 | − | 0.0397586i | ||||
\(560\) | −0.204661 | − | 0.271015i | −0.00864851 | − | 0.0114525i | ||||
\(561\) | 7.48222 | + | 7.38134i | 0.315900 | + | 0.311640i | ||||
\(562\) | −11.6372 | + | 15.4101i | −0.490885 | + | 0.650036i | ||||
\(563\) | 19.7607 | + | 1.83109i | 0.832812 | + | 0.0771714i | 0.500219 | − | 0.865899i | \(-0.333253\pi\) |
0.332593 | + | 0.943070i | \(0.392076\pi\) | |||||||
\(564\) | 1.72754 | − | 12.3843i | 0.0727426 | − | 0.521475i | ||||
\(565\) | 0.163466 | − | 1.76408i | 0.00687709 | − | 0.0742156i | ||||
\(566\) | 5.46669 | − | 9.81460i | 0.229782 | − | 0.412538i | ||||
\(567\) | −0.480647 | − | 0.161097i | −0.0201853 | − | 0.00676543i | ||||
\(568\) | −0.214401 | − | 0.639686i | −0.00899608 | − | 0.0268406i | ||||
\(569\) | −11.7892 | + | 30.4314i | −0.494228 | + | 1.27575i | 0.433047 | + | 0.901371i | \(0.357438\pi\) |
−0.927276 | + | 0.374379i | \(0.877856\pi\) | |||||||
\(570\) | −85.9170 | − | 7.96138i | −3.59867 | − | 0.333465i | ||||
\(571\) | 22.2651 | − | 9.83102i | 0.931767 | − | 0.411415i | 0.118268 | − | 0.992982i | \(-0.462266\pi\) |
0.813499 | + | 0.581566i | \(0.197560\pi\) | |||||||
\(572\) | 0.0285963 | − | 0.00132209i | 0.00119567 | − | 5.52792e-5i | ||||
\(573\) | 9.66730 | − | 11.6419i | 0.403857 | − | 0.486347i | ||||
\(574\) | −0.00897380 | − | 0.0180218i | −0.000374559 | − | 0.000752216i | ||||
\(575\) | −14.9173 | − | 21.7765i | −0.622094 | − | 0.908145i | ||||
\(576\) | −25.8174 | + | 41.6965i | −1.07572 | + | 1.73735i | ||||
\(577\) | −4.63794 | −0.193080 | −0.0965399 | − | 0.995329i | \(-0.530778\pi\) | ||||
−0.0965399 | + | 0.995329i | \(0.530778\pi\) | |||||||
\(578\) | 11.8311 | + | 22.9731i | 0.492108 | + | 0.955555i | ||||
\(579\) | −13.9565 | −0.580014 | ||||||||
\(580\) | −5.68988 | + | 9.18948i | −0.236260 | + | 0.381572i | ||||
\(581\) | 0.00813647 | + | 0.0118778i | 0.000337558 | + | 0.000492773i | ||||
\(582\) | −32.8436 | − | 65.9589i | −1.36141 | − | 2.73408i | ||||
\(583\) | −4.26238 | + | 5.13298i | −0.176530 | + | 0.212587i | ||||
\(584\) | 5.94291 | − | 0.274758i | 0.245920 | − | 0.0113695i | ||||
\(585\) | 3.27098 | − | 1.44428i | 0.135238 | − | 0.0597135i | ||||
\(586\) | −18.7669 | − | 1.73901i | −0.775253 | − | 0.0718378i | ||||
\(587\) | 12.6464 | − | 32.6442i | 0.521974 | − | 1.34737i | −0.383725 | − | 0.923447i | \(-0.625359\pi\) |
0.905699 | − | 0.423922i | \(-0.139347\pi\) | |||||||
\(588\) | 2.25515 | + | 6.72846i | 0.0930009 | + | 0.277477i | ||||
\(589\) | −12.6256 | − | 4.23168i | −0.520229 | − | 0.174363i | ||||
\(590\) | 22.8318 | − | 40.9910i | 0.939971 | − | 1.68757i | ||||
\(591\) | 2.42787 | − | 26.2009i | 0.0998693 | − | 1.07776i | ||||
\(592\) | 1.91020 | − | 13.6938i | 0.0785089 | − | 0.562812i | ||||
\(593\) | −2.66237 | − | 0.246705i | −0.109331 | − | 0.0101310i | 0.0374639 | − | 0.999298i | \(-0.488072\pi\) |
−0.146795 | + | 0.989167i | \(0.546896\pi\) | |||||||
\(594\) | −10.8819 | + | 14.4099i | −0.446488 | + | 0.591246i | ||||
\(595\) | 0.0728974 | + | 0.300767i | 0.00298850 | + | 0.0123302i | ||||
\(596\) | 3.22982 | + | 4.27698i | 0.132299 | + | 0.175192i | ||||
\(597\) | −5.57842 | − | 9.00946i | −0.228310 | − | 0.368733i | ||||
\(598\) | 0.434007 | + | 0.102078i | 0.0177479 | + | 0.00417426i | ||||
\(599\) | −5.50263 | − | 3.40709i | −0.224832 | − | 0.139210i | 0.409395 | − | 0.912357i | \(-0.365740\pi\) |
−0.634226 | + | 0.773148i | \(0.718681\pi\) | |||||||
\(600\) | −68.5479 | + | 56.9214i | −2.79845 | + | 2.32381i | ||||
\(601\) | 34.6599 | − | 15.3039i | 1.41381 | − | 0.624257i | 0.450529 | − | 0.892762i | \(-0.351235\pi\) |
0.963278 | + | 0.268504i | \(0.0865293\pi\) | |||||||
\(602\) | 0.131499 | + | 0.236086i | 0.00535950 | + | 0.00962214i | ||||
\(603\) | 3.21876 | + | 17.2188i | 0.131078 | + | 0.701206i | ||||
\(604\) | 4.54625 | + | 3.43317i | 0.184984 | + | 0.139694i | ||||
\(605\) | −39.9827 | + | 9.40384i | −1.62553 | + | 0.382320i | ||||
\(606\) | 32.5861 | + | 27.0592i | 1.32372 | + | 1.09920i | ||||
\(607\) | 2.95607 | − | 8.81970i | 0.119983 | − | 0.357981i | −0.871121 | − | 0.491068i | \(-0.836607\pi\) |
0.991104 | + | 0.133087i | \(0.0424891\pi\) | |||||||
\(608\) | −4.61551 | + | 6.11193i | −0.187184 | + | 0.247871i | ||||
\(609\) | 0.419975 | − | 0.348742i | 0.0170182 | − | 0.0141318i | ||||
\(610\) | −27.7845 | − | 71.7201i | −1.12496 | − | 2.90386i | ||||
\(611\) | −0.398567 | − | 1.40082i | −0.0161243 | − | 0.0566710i | ||||
\(612\) | −8.05300 | + | 5.59711i | −0.325523 | + | 0.226250i | ||||
\(613\) | 12.1548 | − | 42.7197i | 0.490928 | − | 1.72543i | −0.179774 | − | 0.983708i | \(-0.557537\pi\) |
0.670703 | − | 0.741726i | \(-0.265993\pi\) | |||||||
\(614\) | −31.3585 | + | 2.90580i | −1.26553 | + | 0.117268i | ||||
\(615\) | −7.86516 | + | 4.38086i | −0.317154 | + | 0.176653i | ||||
\(616\) | 0.0380708 | 0.00153392 | ||||||||
\(617\) | −38.8939 | + | 21.6638i | −1.56581 | + | 0.872151i | −0.566984 | + | 0.823729i | \(0.691890\pi\) |
−0.998827 | + | 0.0484219i | \(0.984581\pi\) | |||||||
\(618\) | 18.6859 | − | 18.6859i | 0.751655 | − | 0.751655i | ||||
\(619\) | −10.4499 | + | 7.15832i | −0.420015 | + | 0.287717i | −0.756527 | − | 0.653962i | \(-0.773106\pi\) |
0.336512 | + | 0.941679i | \(0.390753\pi\) | |||||||
\(620\) | 3.32666 | − | 1.65648i | 0.133602 | − | 0.0665259i | ||||
\(621\) | −30.1610 | + | 22.7765i | −1.21032 | + | 0.913989i | ||||
\(622\) | −5.83478 | − | 41.8282i | −0.233953 | − | 1.67716i | ||||
\(623\) | 0.0521395 | + | 0.0936083i | 0.00208892 | + | 0.00375034i | ||||
\(624\) | 0.241001 | − | 1.72768i | 0.00964777 | − | 0.0691626i | ||||
\(625\) | −32.4397 | + | 12.5672i | −1.29759 | + | 0.502688i | ||||
\(626\) | 5.10152 | + | 0.235857i | 0.203898 | + | 0.00942676i | ||||
\(627\) | 7.55313 | − | 8.28539i | 0.301643 | − | 0.330887i | ||||
\(628\) | −1.40226 | − | 0.543239i | −0.0559563 | − | 0.0216776i | ||||
\(629\) | −6.55992 | + | 10.7571i | −0.261561 | + | 0.428912i | ||||
\(630\) | −0.814946 | + | 0.315712i | −0.0324682 | + | 0.0125783i | ||||
\(631\) | 7.13845 | − | 18.4265i | 0.284177 | − | 0.733546i | −0.715222 | − | 0.698897i | \(-0.753675\pi\) |
0.999400 | − | 0.0346491i | \(-0.0110314\pi\) | |||||||
\(632\) | 2.25138 | − | 6.71721i | 0.0895551 | − | 0.267196i | ||||
\(633\) | 38.4685 | − | 23.8187i | 1.52899 | − | 0.946709i | ||||
\(634\) | −28.7619 | + | 9.64001i | −1.14228 | + | 0.382854i | ||||
\(635\) | 13.1573 | − | 29.7985i | 0.522133 | − | 1.18252i | ||||
\(636\) | −5.53475 | − | 6.66525i | −0.219467 | − | 0.264294i | ||||
\(637\) | 0.556833 | + | 0.610817i | 0.0220625 | + | 0.0242015i | ||||
\(638\) | −3.77501 | − | 9.74443i | −0.149454 | − | 0.385786i | ||||
\(639\) | −2.01025 | + | 0.0929396i | −0.0795243 | + | 0.00367663i | ||||
\(640\) | 7.21686 | + | 51.7360i | 0.285271 | + | 2.04504i | ||||
\(641\) | −1.43224 | − | 30.9789i | −0.0565701 | − | 1.22359i | −0.817951 | − | 0.575288i | \(-0.804890\pi\) |
0.761381 | − | 0.648305i | \(-0.224522\pi\) | |||||||
\(642\) | 65.0182 | + | 12.1540i | 2.56606 | + | 0.479680i | ||||
\(643\) | 25.8585 | + | 25.8585i | 1.01976 | + | 1.01976i | 0.999801 | + | 0.0199598i | \(0.00635382\pi\) |
0.0199598 | + | 0.999801i | \(0.493646\pi\) | |||||||
\(644\) | −0.0140861 | − | 0.00400785i | −0.000555072 | − | 0.000157932i | ||||
\(645\) | 102.746 | − | 63.6174i | 4.04560 | − | 2.50493i | ||||
\(646\) | 23.9893 | − | 13.5761i | 0.943845 | − | 0.534144i | ||||
\(647\) | −15.8809 | − | 9.83304i | −0.624343 | − | 0.386577i | 0.177492 | − | 0.984122i | \(-0.443202\pi\) |
−0.801835 | + | 0.597545i | \(0.796143\pi\) | |||||||
\(648\) | 46.1899 | + | 50.6679i | 1.81451 | + | 1.99042i | ||||
\(649\) | 2.46257 | + | 5.57719i | 0.0966643 | + | 0.218924i | ||||
\(650\) | 0.850173 | − | 1.70738i | 0.0333465 | − | 0.0669689i | ||||
\(651\) | −0.185895 | + | 0.0259313i | −0.00728582 | + | 0.00101633i | ||||
\(652\) | −0.167005 | + | 3.61227i | −0.00654042 | + | 0.141467i | ||||
\(653\) | −24.2595 | + | 24.2595i | −0.949349 | + | 0.949349i | −0.998778 | − | 0.0494289i | \(-0.984260\pi\) |
0.0494289 | + | 0.998778i | \(0.484260\pi\) | |||||||
\(654\) | 40.5077 | − | 65.4222i | 1.58398 | − | 2.55821i | ||||
\(655\) | −5.94177 | + | 0.550586i | −0.232164 | + | 0.0215132i | ||||
\(656\) | −0.145760 | + | 3.15274i | −0.00569098 | + | 0.123094i | ||||
\(657\) | 4.06288 | − | 17.2743i | 0.158508 | − | 0.673935i | ||||
\(658\) | 0.0815016 | + | 0.346523i | 0.00317726 | + | 0.0135089i | ||||
\(659\) | 17.6354 | + | 16.0768i | 0.686977 | + | 0.626262i | 0.939991 | − | 0.341201i | \(-0.110834\pi\) |
−0.253014 | + | 0.967463i | \(0.581422\pi\) | |||||||
\(660\) | 0.144506 | + | 3.12562i | 0.00562489 | + | 0.121664i | ||||
\(661\) | −4.28759 | − | 22.9366i | −0.166768 | − | 0.892130i | −0.959319 | − | 0.282324i | \(-0.908895\pi\) |
0.792551 | − | 0.609806i | \(-0.208753\pi\) | |||||||
\(662\) | −0.911817 | + | 9.84007i | −0.0354388 | + | 0.382445i | ||||
\(663\) | −0.827633 | + | 1.35717i | −0.0321426 | + | 0.0527080i | ||||
\(664\) | −0.179669 | − | 1.93894i | −0.00697252 | − | 0.0752455i | ||||
\(665\) | 0.317517 | − | 0.0903413i | 0.0123128 | − | 0.00350329i | ||||
\(666\) | −32.5495 | − | 14.3720i | −1.26127 | − | 0.556904i | ||||
\(667\) | −2.01817 | − | 21.7795i | −0.0781437 | − | 0.843305i | ||||
\(668\) | −1.87381 | − | 0.0866317i | −0.0725001 | − | 0.00335188i | ||||
\(669\) | 20.1296 | + | 60.0586i | 0.778256 | + | 2.32200i | ||||
\(670\) | 10.5712 | + | 8.77818i | 0.408400 | + | 0.339131i | ||||
\(671\) | 9.61233 | + | 2.73494i | 0.371080 | + | 0.105581i | ||||
\(672\) | −0.0198370 | + | 0.106118i | −0.000765228 | + | 0.00409361i | ||||
\(673\) | −23.9745 | − | 3.34430i | −0.924149 | − | 0.128913i | −0.339876 | − | 0.940470i | \(-0.610385\pi\) |
−0.584273 | + | 0.811557i | \(0.698620\pi\) | |||||||
\(674\) | −22.0139 | + | 32.1363i | −0.847942 | + | 1.23784i | ||||
\(675\) | 65.3082 | + | 147.909i | 2.51371 | + | 5.69302i | ||||
\(676\) | −1.10349 | − | 3.87837i | −0.0424420 | − | 0.149168i | ||||
\(677\) | 16.7446 | − | 20.1647i | 0.643547 | − | 0.774994i | −0.342847 | − | 0.939391i | \(-0.611391\pi\) |
0.986394 | + | 0.164397i | \(0.0525678\pi\) | |||||||
\(678\) | −1.77498 | + | 1.34041i | −0.0681678 | + | 0.0514779i | ||||
\(679\) | 0.208332 | + | 0.189920i | 0.00799504 | + | 0.00728844i | ||||
\(680\) | 11.1811 | − | 40.3356i | 0.428775 | − | 1.54680i | ||||
\(681\) | 1.87582 | − | 1.71004i | 0.0718816 | − | 0.0655287i | ||||
\(682\) | −0.660225 | + | 3.53189i | −0.0252813 | + | 0.135243i | ||||
\(683\) | −10.9334 | + | 3.66450i | −0.418354 | + | 0.140218i | −0.519139 | − | 0.854690i | \(-0.673747\pi\) |
0.100784 | + | 0.994908i | \(0.467865\pi\) | |||||||
\(684\) | 6.30432 | + | 8.34827i | 0.241052 | + | 0.319204i | ||||
\(685\) | 48.4080 | + | 11.3855i | 1.84957 | + | 0.435016i | ||||
\(686\) | −0.258130 | − | 0.310854i | −0.00985545 | − | 0.0118685i | ||||
\(687\) | 26.8190 | − | 39.1509i | 1.02321 | − | 1.49370i | ||||
\(688\) | − | 42.3645i | − | 1.61513i | ||||||
\(689\) | −0.903299 | − | 0.449790i | −0.0344130 | − | 0.0171356i | ||||
\(690\) | −11.1572 | + | 47.4377i | −0.424749 | + | 1.80592i | ||||
\(691\) | 25.7390 | − | 17.6316i | 0.979157 | − | 0.670738i | 0.0347085 | − | 0.999397i | \(-0.488950\pi\) |
0.944449 | + | 0.328659i | \(0.106597\pi\) | |||||||
\(692\) | 0.227781 | + | 0.332520i | 0.00865894 | + | 0.0126405i | ||||
\(693\) | 0.0310768 | − | 0.109224i | 0.00118051 | − | 0.00414907i | ||||
\(694\) | −19.0070 | + | 2.65136i | −0.721496 | + | 0.100644i | ||||
\(695\) | 32.9101 | + | 16.3873i | 1.24835 | + | 0.621605i | ||||
\(696\) | −72.5752 | + | 13.5667i | −2.75096 | + | 0.514243i | ||||
\(697\) | 1.26446 | − | 2.58317i | 0.0478949 | − | 0.0978447i | ||||
\(698\) | −14.0100 | − | 2.61892i | −0.530285 | − | 0.0991274i | ||||
\(699\) | −3.81295 | − | 2.87940i | −0.144219 | − | 0.108909i | ||||
\(700\) | −0.0304867 | + | 0.0547341i | −0.00115229 | + | 0.00206875i | ||||
\(701\) | −28.9697 | − | 11.2229i | −1.09417 | − | 0.423884i | −0.254551 | − | 0.967059i | \(-0.581928\pi\) |
−0.839619 | + | 0.543176i | \(0.817222\pi\) | |||||||
\(702\) | −2.49831 | − | 1.10311i | −0.0942928 | − | 0.0416343i | ||||
\(703\) | 11.7414 | + | 6.53994i | 0.442837 | + | 0.246659i | ||||
\(704\) | −4.36683 | − | 2.43231i | −0.164581 | − | 0.0916711i | ||||
\(705\) | 153.112 | − | 43.5640i | 5.76651 | − | 1.64071i | ||||
\(706\) | 25.6777 | − | 28.1671i | 0.966395 | − | 1.06008i | ||||
\(707\) | −0.153651 | − | 0.0514985i | −0.00577863 | − | 0.00193680i | ||||
\(708\) | −7.70632 | + | 1.81251i | −0.289621 | + | 0.0681183i | ||||
\(709\) | −3.13336 | − | 3.13336i | −0.117676 | − | 0.117676i | 0.645817 | − | 0.763492i | \(-0.276517\pi\) |
−0.763492 | + | 0.645817i | \(0.776517\pi\) | |||||||
\(710\) | −1.16657 | + | 1.06347i | −0.0437804 | + | 0.0399111i | ||||
\(711\) | −17.4337 | − | 11.9423i | −0.653813 | − | 0.447872i | ||||
\(712\) | − | 14.4920i | − | 0.543112i | ||||||
\(713\) | −3.35220 | + | 6.73212i | −0.125541 | + | 0.252120i | ||||
\(714\) | 0.217395 | − | 0.322024i | 0.00813581 | − | 0.0120515i | ||||
\(715\) | 0.162445 | + | 0.326234i | 0.00607511 | + | 0.0122005i | ||||
\(716\) | 3.30696 | − | 1.64667i | 0.123587 | − | 0.0615389i | ||||
\(717\) | 10.3338 | + | 43.9367i | 0.385924 | + | 1.64085i | ||||
\(718\) | −16.7517 | + | 3.13143i | −0.625168 | + | 0.116864i | ||||
\(719\) | −1.80566 | − | 1.23691i | −0.0673398 | − | 0.0461288i | 0.530996 | − | 0.847375i | \(-0.321818\pi\) |
−0.598335 | + | 0.801246i | \(0.704171\pi\) | |||||||
\(720\) | 135.695 | + | 18.9287i | 5.05706 | + | 0.705429i | ||||
\(721\) | −0.0408375 | + | 0.0924881i | −0.00152087 | + | 0.00344444i | ||||
\(722\) | −0.275014 | − | 0.444163i | −0.0102350 | − | 0.0165301i | ||||
\(723\) | −33.1829 | − | 53.5923i | −1.23409 | − | 1.99312i | ||||
\(724\) | −0.163463 | + | 0.370208i | −0.00607505 | + | 0.0137587i | ||||
\(725\) | −92.6740 | − | 12.9275i | −3.44183 | − | 0.480114i | ||||
\(726\) | 42.5424 | + | 29.1422i | 1.57890 | + | 1.08157i | ||||
\(727\) | −28.6348 | + | 5.35277i | −1.06200 | + | 0.198523i | −0.685634 | − | 0.727946i | \(-0.740475\pi\) |
−0.376371 | + | 0.926469i | \(0.622828\pi\) | |||||||
\(728\) | 0.00131828 | + | 0.00560499i | 4.88587e−5 | + | 0.000207735i | ||||
\(729\) | 49.6585 | − | 24.7270i | 1.83920 | − | 0.915815i | ||||
\(730\) | −6.20465 | − | 12.4606i | −0.229645 | − | 0.461188i | ||||
\(731\) | −15.3534 | + | 35.4208i | −0.567866 | + | 1.31009i | ||||
\(732\) | −5.78441 | + | 11.6167i | −0.213798 | + | 0.429364i | ||||
\(733\) | − | 18.6977i | − | 0.690616i | −0.938489 | − | 0.345308i | \(-0.887774\pi\) | ||
0.938489 | − | 0.345308i | \(-0.112226\pi\) | |||||||
\(734\) | 32.8863 | + | 22.5276i | 1.21385 | + | 0.831510i | ||||
\(735\) | −66.7632 | + | 60.8627i | −2.46260 | + | 2.24496i | ||||
\(736\) | 3.05865 | + | 3.05865i | 0.112743 | + | 0.112743i | ||||
\(737\) | −1.73798 | + | 0.408768i | −0.0640192 | + | 0.0150572i | ||||
\(738\) | 7.70098 | + | 2.58111i | 0.283477 | + | 0.0950119i | ||||
\(739\) | 1.48744 | − | 1.63164i | 0.0547163 | − | 0.0600209i | −0.711041 | − | 0.703150i | \(-0.751776\pi\) |
0.765757 | + | 0.643129i | \(0.222364\pi\) | |||||||
\(740\) | −3.60770 | + | 1.02648i | −0.132622 | + | 0.0377341i | ||||
\(741\) | 1.48136 | + | 0.825113i | 0.0544192 | + | 0.0303113i | ||||
\(742\) | 0.215473 | + | 0.120017i | 0.00791025 | + | 0.00440598i | ||||
\(743\) | 12.3050 | + | 5.43318i | 0.451426 | + | 0.199324i | 0.617146 | − | 0.786849i | \(-0.288289\pi\) |
−0.165720 | + | 0.986173i | \(0.552995\pi\) | |||||||
\(744\) | 23.6716 | + | 9.17044i | 0.867844 | + | 0.336204i | ||||
\(745\) | −33.2013 | + | 59.6077i | −1.21640 | + | 2.18386i | ||||
\(746\) | 41.2383 | + | 31.1417i | 1.50984 | + | 1.14018i | ||||
\(747\) | −5.70942 | − | 1.06728i | −0.208897 | − | 0.0390496i | ||||
\(748\) | −0.607774 | − | 0.793565i | −0.0222224 | − | 0.0290156i | ||||
\(749\) | −0.248754 | + | 0.0465001i | −0.00908927 | + | 0.00169908i | ||||
\(750\) | 98.8101 | + | 49.2016i | 3.60803 | + | 1.79659i | ||||
\(751\) | −43.3029 | + | 6.04050i | −1.58015 | + | 0.220421i | −0.873385 | − | 0.487031i | \(-0.838080\pi\) |
−0.706762 | + | 0.707452i | \(0.749845\pi\) | |||||||
\(752\) | 15.2720 | − | 53.6755i | 0.556913 | − | 1.95735i | ||||
\(753\) | 27.2885 | + | 39.8363i | 0.994448 | + | 1.45172i | ||||
\(754\) | 1.30391 | − | 0.893199i | 0.0474856 | − | 0.0325284i | ||||
\(755\) | −16.6049 | + | 70.5998i | −0.604315 | + | 2.56939i | ||||
\(756\) | 0.0803032 | + | 0.0399862i | 0.00292060 | + | 0.00145429i | ||||
\(757\) | 21.1190i | 0.767582i | 0.923420 | + | 0.383791i | \(0.125382\pi\) | ||||
−0.923420 | + | 0.383791i | \(0.874618\pi\) | |||||||
\(758\) | −24.5036 | + | 35.7709i | −0.890012 | + | 1.29926i | ||||
\(759\) | −4.04519 | − | 4.87144i | −0.146831 | − | 0.176822i | ||||
\(760\) | −43.4628 | − | 10.2223i | −1.57656 | − | 0.370804i | ||||
\(761\) | −3.48679 | − | 4.61726i | −0.126396 | − | 0.167376i | 0.730419 | − | 0.682999i | \(-0.239325\pi\) |
−0.856815 | + | 0.515624i | \(0.827560\pi\) | |||||||
\(762\) | −38.7757 | + | 12.9963i | −1.40469 | + | 0.470806i | ||||
\(763\) | −0.0540949 | + | 0.289382i | −0.00195837 | + | 0.0104763i | ||||
\(764\) | −1.06354 | + | 0.969541i | −0.0384774 | + | 0.0350768i | ||||
\(765\) | −106.594 | − | 65.0037i | −3.85392 | − | 2.35021i | ||||
\(766\) | −27.8507 | − | 25.3893i | −1.00629 | − | 0.917352i | ||||
\(767\) | −0.735832 | + | 0.555675i | −0.0265694 | + | 0.0200643i | ||||
\(768\) | 15.1888 | − | 18.2912i | 0.548080 | − | 0.660027i | ||||
\(769\) | −0.881059 | − | 3.09660i | −0.0317718 | − | 0.111666i | 0.944318 | − | 0.329035i | \(-0.106723\pi\) |
−0.976090 | + | 0.217368i | \(0.930253\pi\) | |||||||
\(770\) | −0.0359801 | − | 0.0814872i | −0.00129663 | − | 0.00293660i | ||||
\(771\) | −38.0879 | + | 55.6015i | −1.37170 | + | 2.00244i | ||||
\(772\) | 1.31458 | + | 0.183376i | 0.0473127 | + | 0.00659984i | ||||
\(773\) | −0.318771 | + | 1.70527i | −0.0114654 | + | 0.0613345i | −0.988227 | − | 0.152993i | \(-0.951109\pi\) |
0.976762 | + | 0.214327i | \(0.0687559\pi\) | |||||||
\(774\) | −104.860 | − | 29.8353i | −3.76912 | − | 1.07241i | ||||
\(775\) | 24.7516 | + | 20.5534i | 0.889103 | + | 0.738302i | ||||
\(776\) | −12.1168 | − | 36.1515i | −0.434966 | − | 1.29776i | ||||
\(777\) | 0.189242 | + | 0.00874919i | 0.00678902 | + | 0.000313875i | ||||
\(778\) | −1.32660 | − | 14.3163i | −0.0475608 | − | 0.513263i | ||||
\(779\) | −2.80650 | − | 1.23919i | −0.100553 | − | 0.0443986i | ||||
\(780\) | −0.455166 | + | 0.129506i | −0.0162976 | + | 0.00463706i | ||||
\(781\) | −0.0189252 | − | 0.204235i | −0.000677196 | − | 0.00730811i | ||||
\(782\) | −5.72214 | − | 14.4780i | −0.204623 | − | 0.517734i | ||||
\(783\) | −12.3621 | + | 133.408i | −0.441785 | + | 4.76762i | ||||
\(784\) | 5.81946 | + | 31.1313i | 0.207838 | + | 1.11183i | ||||
\(785\) | −0.884165 | − | 19.1242i | −0.0315572 | − | 0.682572i | ||||
\(786\) | 5.53641 | + | 5.04710i | 0.197477 | + | 0.180024i | ||||
\(787\) | 2.08164 | + | 8.85060i | 0.0742026 | + | 0.315490i | 0.997673 | − | 0.0681795i | \(-0.0217190\pi\) |
−0.923471 | + | 0.383669i | \(0.874660\pi\) | |||||||
\(788\) | −0.572939 | + | 2.43599i | −0.0204101 | + | 0.0867785i | ||||
\(789\) | 2.25336 | − | 48.7395i | 0.0802219 | − | 1.73517i | ||||
\(790\) | −16.5053 | + | 1.52945i | −0.587234 | + | 0.0544152i | ||||
\(791\) | 0.00447981 | − | 0.00723514i | 0.000159284 | − | 0.000257252i | ||||
\(792\) | −10.8604 | + | 10.8604i | −0.385906 | + | 0.385906i | ||||
\(793\) | −0.0698061 | + | 1.50988i | −0.00247889 | + | 0.0536175i | ||||
\(794\) | 28.6560 | − | 3.99734i | 1.01696 | − | 0.141860i | ||||
\(795\) | 49.1627 | − | 98.7320i | 1.74362 | − | 3.50166i | ||||
\(796\) | 0.407061 | + | 0.921904i | 0.0144279 | + | 0.0326760i | ||||
\(797\) | −3.58700 | − | 3.93475i | −0.127058 | − | 0.139376i | 0.672187 | − | 0.740382i | \(-0.265355\pi\) |
−0.799245 | + | 0.601006i | \(0.794767\pi\) | |||||||
\(798\) | −0.352376 | − | 0.218182i | −0.0124740 | − | 0.00772356i | ||||
\(799\) | −32.2215 | + | 39.3432i | −1.13992 | + | 1.39186i | ||||
\(800\) | 15.7331 | − | 9.74151i | 0.556248 | − | 0.344414i | ||||
\(801\) | −41.5771 | − | 11.8297i | −1.46906 | − | 0.417982i | ||||
\(802\) | 14.5464 | + | 14.5464i | 0.513651 | + | 0.513651i | ||||
\(803\) | 1.77790 | + | 0.332347i | 0.0627406 | + | 0.0117283i | ||||
\(804\) | −0.107070 | − | 2.31589i | −0.00377607 | − | 0.0816752i | ||||
\(805\) | −0.0257585 | − | 0.184657i | −0.000907868 | − | 0.00650829i | ||||
\(806\) | −0.542846 | + | 0.0250973i | −0.0191209 | + | 0.000884014i | ||||
\(807\) | −13.4740 | − | 34.7803i | −0.474306 | − | 1.22433i | ||||
\(808\) | 14.7657 | + | 16.1972i | 0.519457 | + | 0.569817i | ||||
\(809\) | 4.90463 | + | 5.90642i | 0.172438 | + | 0.207659i | 0.848514 | − | 0.529173i | \(-0.177498\pi\) |
−0.676077 | + | 0.736831i | \(0.736321\pi\) | |||||||
\(810\) | 64.7969 | − | 146.751i | 2.27673 | − | 5.15630i | ||||
\(811\) | 9.53045 | − | 3.19428i | 0.334659 | − | 0.112166i | −0.145474 | − | 0.989362i | \(-0.546471\pi\) |
0.480133 | + | 0.877196i | \(0.340588\pi\) | |||||||
\(812\) | −0.0441400 | + | 0.0273303i | −0.00154901 | + | 0.000959106i | ||||
\(813\) | −19.6194 | + | 58.5364i | −0.688084 | + | 2.05296i | ||||
\(814\) | 1.31006 | − | 3.38166i | 0.0459176 | − | 0.118527i | ||||
\(815\) | −42.9273 | + | 16.6301i | −1.50368 | + | 0.582527i | ||||
\(816\) | −54.3387 | + | 27.5193i | −1.90223 | + | 0.963367i | ||||
\(817\) | 38.3996 | + | 14.8761i | 1.34343 | + | 0.520449i | ||||
\(818\) | −9.86664 | + | 10.8232i | −0.344979 | + | 0.378424i | ||||
\(819\) | 0.0171566 | 0.000793198i | 0.000599500 | 2.77166e-5i | ||||||
\(820\) | 0.798387 | − | 0.309297i | 0.0278809 | − | 0.0108011i | ||||
\(821\) | −1.64694 | + | 11.8065i | −0.0574785 | + | 0.412050i | 0.940006 | + | 0.341159i | \(0.110819\pi\) |
−0.997484 | + | 0.0708907i | \(0.977416\pi\) | |||||||
\(822\) | −30.3802 | − | 54.5429i | −1.05963 | − | 1.90240i | ||||
\(823\) | −1.79229 | − | 12.8485i | −0.0624755 | − | 0.447872i | −0.996000 | − | 0.0893575i | \(-0.971519\pi\) |
0.933524 | − | 0.358515i | \(-0.116717\pi\) | |||||||
\(824\) | 10.9122 | − | 8.24054i | 0.380146 | − | 0.287073i | ||||
\(825\) | −24.2484 | + | 12.0743i | −0.844221 | + | 0.420372i | ||||
\(826\) | 0.185934 | − | 0.127368i | 0.00646946 | − | 0.00443168i | ||||
\(827\) | 1.11410 | − | 1.11410i | 0.0387410 | − | 0.0387410i | −0.687471 | − | 0.726212i | \(-0.741279\pi\) |
0.726212 | + | 0.687471i | \(0.241279\pi\) | |||||||
\(828\) | 5.16163 | − | 2.87501i | 0.179379 | − | 0.0999135i | ||||
\(829\) | 9.19352 | 0.319304 | 0.159652 | − | 0.987173i | \(-0.448963\pi\) | ||||
0.159652 | + | 0.987173i | \(0.448963\pi\) | |||||||
\(830\) | −3.98033 | + | 2.21703i | −0.138159 | + | 0.0769543i | ||||
\(831\) | 31.4636 | − | 2.91553i | 1.09146 | − | 0.101139i | ||||
\(832\) | 0.206887 | − | 0.727133i | 0.00717252 | − | 0.0252088i | ||||
\(833\) | 6.41674 | − | 28.1379i | 0.222327 | − | 0.974919i | ||||
\(834\) | −12.6313 | − | 44.3945i | −0.437387 | − | 1.53726i | ||||
\(835\) | −8.62665 | − | 22.2679i | −0.298537 | − | 0.770614i | ||||
\(836\) | −0.820299 | + | 0.681167i | −0.0283706 | + | 0.0235587i | ||||
\(837\) | 27.7612 | − | 36.7618i | 0.959568 | − | 1.27067i | ||||
\(838\) | 3.65234 | − | 10.8971i | 0.126168 | − | 0.376434i | ||||
\(839\) | 26.0158 | + | 21.6033i | 0.898167 | + | 0.745828i | 0.967794 | − | 0.251745i | \(-0.0810044\pi\) |
−0.0696268 | + | 0.997573i | \(0.522181\pi\) | |||||||
\(840\) | −0.612633 | + | 0.144090i | −0.0211379 | + | 0.00497158i | ||||
\(841\) | −38.7336 | − | 29.2502i | −1.33564 | − | 1.00863i | ||||
\(842\) | 0.985419 | + | 5.27153i | 0.0339598 | + | 0.181669i | ||||
\(843\) | 20.1836 | + | 36.2364i | 0.695159 | + | 1.24805i | ||||
\(844\) | −3.93634 | + | 1.73807i | −0.135495 | + | 0.0598267i | ||||
\(845\) | 39.4932 | − | 32.7947i | 1.35861 | − | 1.12817i | ||||
\(846\) | −122.102 | − | 75.6022i | −4.19794 | − | 2.59926i | ||||
\(847\) | −0.192049 | − | 0.0451696i | −0.00659889 | − | 0.00155205i | ||||
\(848\) | −20.3548 | − | 32.8741i | −0.698986 | − | 1.12890i | ||||
\(849\) | −14.5422 | − | 19.2570i | −0.499088 | − | 0.660899i | ||||
\(850\) | −65.8961 | + | 9.64851i | −2.26022 | + | 0.330941i | ||||
\(851\) | 4.57437 | − | 6.05745i | 0.156807 | − | 0.207647i | ||||
\(852\) | 0.265202 | + | 0.0245746i | 0.00908568 | + | 0.000841912i | ||||
\(853\) | 7.28721 | − | 52.2403i | 0.249509 | − | 1.78867i | −0.300774 | − | 0.953695i | \(-0.597245\pi\) |
0.550283 | − | 0.834978i | \(-0.314520\pi\) | |||||||
\(854\) | 0.0340878 | − | 0.367866i | 0.00116646 | − | 0.0125881i | ||||
\(855\) | −64.8058 | + | 116.349i | −2.21631 | + | 3.97904i | ||||
\(856\) | 32.4525 | + | 10.8770i | 1.10921 | + | 0.371768i | ||||
\(857\) | 6.76914 | + | 20.1964i | 0.231229 | + | 0.689894i | 0.998802 | + | 0.0489325i | \(0.0155819\pi\) |
−0.767573 | + | 0.640962i | \(0.778536\pi\) | |||||||
\(858\) | 0.165284 | − | 0.426648i | 0.00564271 | − | 0.0145655i | ||||
\(859\) | −18.5609 | − | 1.71992i | −0.633290 | − | 0.0586830i | −0.229166 | − | 0.973387i | \(-0.573600\pi\) |
−0.404124 | + | 0.914704i | \(0.632423\pi\) | |||||||
\(860\) | −10.5136 | + | 4.64220i | −0.358510 | + | 0.158298i | ||||
\(861\) | −0.0431977 | + | 0.00199715i | −0.00147217 | + | 6.80627e-5i | ||||
\(862\) | 13.5231 | − | 16.2853i | 0.460599 | − | 0.554678i | ||||
\(863\) | 8.23301 | + | 16.5341i | 0.280255 | + | 0.562828i | 0.989906 | − | 0.141725i | \(-0.0452650\pi\) |
−0.709651 | + | 0.704553i | \(0.751147\pi\) | |||||||
\(864\) | −14.9738 | − | 21.8591i | −0.509421 | − | 0.743662i | ||||
\(865\) | −2.70123 | + | 4.36263i | −0.0918444 | + | 0.148334i | ||||
\(866\) | −41.8747 | −1.42296 | ||||||||
\(867\) | 55.4057 | − | 3.31579i | 1.88168 | − | 0.112610i | ||||
\(868\) | 0.0178504 | 0.000605881 | ||||||||
\(869\) | 1.13384 | − | 1.83121i | 0.0384628 | − | 0.0621196i | ||||
\(870\) | 97.6280 | + | 142.519i | 3.30990 | + | 4.83186i | ||||
\(871\) | −0.120362 | − | 0.241720i | −0.00407832 | − | 0.00819036i | ||||
\(872\) | 25.4370 | − | 30.6326i | 0.861405 | − | 1.03735i | ||||
\(873\) | −113.608 | + | 5.25242i | −3.84506 | + | 0.177768i | ||||
\(874\) | −15.1913 | + | 6.70763i | −0.513854 | + | 0.226889i | ||||
\(875\) | −0.420511 | − | 0.0389661i | −0.0142159 | − | 0.00131729i | ||||
\(876\) | −0.848417 | + | 2.19002i | −0.0286654 | + | 0.0739938i | ||||
\(877\) | 8.10554 | + | 24.1836i | 0.273705 | + | 0.816624i | 0.992592 | + | 0.121497i | \(0.0387694\pi\) |
−0.718887 | + | 0.695127i | \(0.755348\pi\) | |||||||
\(878\) | −52.9024 | − | 17.7311i | −1.78537 | − | 0.598395i | ||||
\(879\) | −19.6994 | + | 35.3672i | −0.664444 | + | 1.19291i | ||||
\(880\) | −1.28847 | + | 13.9048i | −0.0434344 | + | 0.468731i | ||||
\(881\) | 3.01569 | − | 21.6188i | 0.101601 | − | 0.728355i | −0.870225 | − | 0.492655i | \(-0.836026\pi\) |
0.971826 | − | 0.235700i | \(-0.0757383\pi\) | |||||||
\(882\) | 81.1543 | + | 7.52005i | 2.73261 | + | 0.253213i | ||||
\(883\) | 33.7771 | − | 44.7281i | 1.13669 | − | 1.50522i | 0.302996 | − | 0.952992i | \(-0.402013\pi\) |
0.833693 | − | 0.552228i | \(-0.186222\pi\) | |||||||
\(884\) | 0.0957875 | − | 0.116959i | 0.00322168 | − | 0.00393374i | ||||
\(885\) | −60.7361 | − | 80.4276i | −2.04162 | − | 2.70354i | ||||
\(886\) | 14.5463 | + | 23.4930i | 0.488691 | + | 0.789264i | ||||
\(887\) | 23.1881 | + | 5.45379i | 0.778580 | + | 0.183120i | 0.599135 | − | 0.800648i | \(-0.295511\pi\) |
0.179444 | + | 0.983768i | \(0.442570\pi\) | |||||||
\(888\) | −21.7846 | − | 13.4885i | −0.731044 | − | 0.452643i | ||||
\(889\) | 0.120372 | − | 0.0999560i | 0.00403716 | − | 0.00335242i | ||||
\(890\) | −31.0189 | + | 13.6962i | −1.03976 | + | 0.459098i | ||||
\(891\) | 10.1429 | + | 18.2100i | 0.339799 | + | 0.610057i | ||||
\(892\) | −1.10691 | − | 5.92146i | −0.0370622 | − | 0.198265i | ||||
\(893\) | 43.2894 | + | 32.6906i | 1.44862 | + | 1.09395i | ||||
\(894\) | 83.3860 | − | 19.6122i | 2.78884 | − | 0.655930i | ||||
\(895\) | 36.1822 | + | 30.0453i | 1.20944 | + | 1.00431i | ||||
\(896\) | −0.0797371 | + | 0.237903i | −0.00266383 | + | 0.00794779i | ||||
\(897\) | 0.577127 | − | 0.764239i | 0.0192697 | − | 0.0255172i | ||||
\(898\) | 28.8212 | − | 23.9329i | 0.961778 | − | 0.798650i | ||||
\(899\) | 9.63061 | + | 24.8595i | 0.321199 | + | 0.829109i | ||||
\(900\) | −6.91700 | − | 24.3107i | −0.230567 | − | 0.810358i | ||||
\(901\) | 5.10461 | + | 34.8628i | 0.170059 | + | 1.16145i | ||||
\(902\) | −0.226544 | + | 0.796221i | −0.00754310 | + | 0.0265112i | ||||
\(903\) | 0.577987 | − | 0.0535584i | 0.0192342 | − | 0.00178231i | ||||
\(904\) | −1.00549 | + | 0.560056i | −0.0334422 | + | 0.0186272i | ||||
\(905\) | −5.15201 | −0.171259 | ||||||||
\(906\) | 79.5472 | − | 44.3075i | 2.64278 | − | 1.47202i | ||||
\(907\) | 32.4275 | − | 32.4275i | 1.07674 | − | 1.07674i | 0.0799359 | − | 0.996800i | \(-0.474528\pi\) |
0.996800 | − | 0.0799359i | \(-0.0254716\pi\) | |||||||
\(908\) | −0.199154 | + | 0.136423i | −0.00660914 | + | 0.00452737i | ||||
\(909\) | 58.5224 | − | 29.1407i | 1.94107 | − | 0.966536i | ||||
\(910\) | 0.0107511 | − | 0.00811885i | 0.000356395 | − | 0.000269137i | ||||
\(911\) | 3.21057 | + | 23.0158i | 0.106371 | + | 0.762549i | 0.967266 | + | 0.253766i | \(0.0816692\pi\) |
−0.860895 | + | 0.508783i | \(0.830095\pi\) | |||||||
\(912\) | 31.6161 | + | 56.7618i | 1.04691 | + | 1.87957i | ||||
\(913\) | 0.0817889 | − | 0.586325i | 0.00270682 | − | 0.0194045i | ||||
\(914\) | −41.6034 | + | 16.1173i | −1.37612 | + | 0.533111i | ||||
\(915\) | −165.032 | − | 7.62991i | −5.45580 | − | 0.252237i | ||||
\(916\) | −3.04051 | + | 3.33528i | −0.100461 | + | 0.110201i | ||||
\(917\) | −0.0267269 | − | 0.0103541i | −0.000882601 | − | 0.000341922i | ||||
\(918\) | 18.1580 | + | 93.6144i | 0.599303 | + | 3.08973i | ||||
\(919\) | 26.6619 | − | 10.3289i | 0.879494 | − | 0.340718i | 0.121198 | − | 0.992628i | \(-0.461326\pi\) |
0.758296 | + | 0.651911i | \(0.226032\pi\) | |||||||
\(920\) | −9.10933 | + | 23.5139i | −0.300326 | + | 0.775230i | ||||
\(921\) | −21.4972 | + | 64.1390i | −0.708358 | + | 2.11345i | ||||
\(922\) | 6.95876 | − | 4.30868i | 0.229175 | − | 0.141899i | ||||
\(923\) | 0.0294133 | − | 0.00985834i | 0.000968150 | − | 0.000324491i | ||||
\(924\) | −0.00607067 | + | 0.0137488i | −0.000199710 | + | 0.000452301i | ||||
\(925\) | −20.7450 | − | 24.9822i | −0.682090 | − | 0.821410i | ||||
\(926\) | 10.4075 | + | 11.4165i | 0.342012 | + | 0.375169i | ||||
\(927\) | −14.7343 | − | 38.0335i | −0.483936 | − | 1.24918i | ||||
\(928\) | 15.3175 | − | 0.708171i | 0.502821 | − | 0.0232468i | ||||
\(929\) | 1.11754 | + | 8.01135i | 0.0366651 | + | 0.262844i | 0.999985 | − | 0.00551277i | \(-0.00175478\pi\) |
−0.963320 | + | 0.268357i | \(0.913519\pi\) | |||||||
\(930\) | −2.74317 | − | 59.3339i | −0.0899521 | − | 1.94563i | ||||
\(931\) | −30.2613 | − | 5.65681i | −0.991772 | − | 0.185394i | ||||
\(932\) | 0.321312 | + | 0.321312i | 0.0105249 | + | 0.0105249i | ||||
\(933\) | −87.2525 | − | 24.8255i | −2.85652 | − | 0.812750i | ||||
\(934\) | 48.5711 | − | 30.0739i | 1.58929 | − | 0.984049i | ||||
\(935\) | 6.11656 | − | 11.1588i | 0.200033 | − | 0.364933i | ||||
\(936\) | −1.97498 | − | 1.22286i | −0.0645544 | − | 0.0399704i | ||||
\(937\) | −12.0378 | − | 13.2048i | −0.393258 | − | 0.431383i | 0.510203 | − | 0.860054i | \(-0.329570\pi\) |
−0.903461 | + | 0.428671i | \(0.858982\pi\) | |||||||
\(938\) | 0.0266591 | + | 0.0603771i | 0.000870450 | + | 0.00197138i | ||||
\(939\) | 4.88958 | − | 9.81959i | 0.159565 | − | 0.320450i | ||||
\(940\) | −14.9941 | + | 2.09159i | −0.489054 | + | 0.0682201i | ||||
\(941\) | 1.43079 | − | 30.9474i | 0.0466423 | − | 1.00886i | −0.838896 | − | 0.544291i | \(-0.816799\pi\) |
0.885539 | − | 0.464566i | \(-0.153790\pi\) | |||||||
\(942\) | −16.9957 | + | 16.9957i | −0.553748 | + | 0.553748i | ||||
\(943\) | −0.912143 | + | 1.47316i | −0.0297035 | + | 0.0479727i | ||||
\(944\) | −35.1807 | + | 3.25997i | −1.14503 | + | 0.106103i | ||||
\(945\) | −0.0527438 | + | 1.14083i | −0.00171575 | + | 0.0371112i | ||||
\(946\) | 2.54407 | − | 10.8167i | 0.0827148 | − | 0.351682i | ||||
\(947\) | −3.45143 | − | 14.6746i | −0.112157 | − | 0.476860i | −0.999865 | − | 0.0164537i | \(-0.994762\pi\) |
0.887708 | − | 0.460407i | \(-0.152296\pi\) | |||||||
\(948\) | 2.06683 | + | 1.88417i | 0.0671276 | + | 0.0611949i | ||||
\(949\) | 0.0126336 | + | 0.273260i | 0.000410103 | + | 0.00887039i | ||||
\(950\) | 13.0538 | + | 69.8317i | 0.423521 | + | 2.26564i | ||||
\(951\) | −6.01196 | + | 64.8794i | −0.194951 | + | 2.10386i | ||||
\(952\) | 0.134435 | − | 0.149494i | 0.00435707 | − | 0.00484512i | ||||
\(953\) | 2.28921 | + | 24.7045i | 0.0741548 | + | 0.800258i | 0.948880 | + | 0.315638i | \(0.102218\pi\) |
−0.874725 | + | 0.484620i | \(0.838958\pi\) | |||||||
\(954\) | −95.7045 | + | 27.2303i | −3.09855 | + | 0.881613i | ||||
\(955\) | −16.7602 | − | 7.40036i | −0.542348 | − | 0.239470i | ||||
\(956\) | −0.396065 | − | 4.27422i | −0.0128096 | − | 0.138238i | ||||
\(957\) | −22.4226 | − | 1.03666i | −0.724818 | − | 0.0335104i | ||||
\(958\) | 15.7720 | + | 47.0573i | 0.509571 | + | 1.52035i | ||||
\(959\) | 0.183766 | + | 0.152597i | 0.00593410 | + | 0.00492762i | ||||
\(960\) | 79.4767 | + | 22.6131i | 2.56510 | + | 0.729833i | ||||
\(961\) | −4.01190 | + | 21.4618i | −0.129416 | + | 0.692316i | ||||
\(962\) | 0.543230 | + | 0.0757773i | 0.0175144 | + | 0.00244316i | ||||
\(963\) | 57.6964 | − | 84.2264i | 1.85924 | − | 2.71416i | ||||
\(964\) | 2.42138 | + | 5.48390i | 0.0779873 | + | 0.176624i | ||||
\(965\) | 4.62425 | + | 16.2526i | 0.148860 | + | 0.523188i | ||||
\(966\) | −0.149538 | + | 0.180082i | −0.00481132 | + | 0.00579405i | ||||
\(967\) | −2.99688 | + | 2.26314i | −0.0963731 | + | 0.0727776i | −0.649722 | − | 0.760172i | \(-0.725115\pi\) |
0.553348 | + | 0.832950i | \(0.313350\pi\) | |||||||
\(968\) | 19.7194 | + | 17.9766i | 0.633804 | + | 0.577789i | ||||
\(969\) | −5.86298 | − | 58.9164i | −0.188346 | − | 1.89267i | ||||
\(970\) | −65.9278 | + | 60.1011i | −2.11681 | + | 1.92973i | ||||
\(971\) | −8.69237 | + | 46.5001i | −0.278952 | + | 1.49226i | 0.500467 | + | 0.865756i | \(0.333162\pi\) |
−0.779419 | + | 0.626503i | \(0.784485\pi\) | |||||||
\(972\) | −12.2245 | + | 4.09724i | −0.392101 | + | 0.131419i | ||||
\(973\) | 0.106420 | + | 0.140922i | 0.00341166 | + | 0.00451777i | ||||
\(974\) | −5.23677 | − | 1.23168i | −0.167797 | − | 0.0394655i | ||||
\(975\) | −2.61729 | − | 3.15188i | −0.0838204 | − | 0.100941i | ||||
\(976\) | −32.7307 | + | 47.7809i | −1.04768 | + | 1.52943i | ||||
\(977\) | − | 50.1253i | − | 1.60365i | −0.597558 | − | 0.801826i | \(-0.703862\pi\) | ||
0.597558 | − | 0.801826i | \(-0.296138\pi\) | |||||||
\(978\) | 51.7375 | + | 25.7622i | 1.65438 | + | 0.823785i | ||||
\(979\) | 1.00873 | − | 4.28884i | 0.0322390 | − | 0.137072i | ||||
\(980\) | 7.08817 | − | 4.85551i | 0.226423 | − | 0.155104i | ||||
\(981\) | −67.1199 | − | 97.9830i | −2.14297 | − | 3.12835i | ||||
\(982\) | 0.449897 | − | 1.58123i | 0.0143568 | − | 0.0504589i | ||||
\(983\) | 3.82696 | − | 0.533839i | 0.122061 | − | 0.0170268i | −0.0768632 | − | 0.997042i | \(-0.524490\pi\) |
0.198924 | + | 0.980015i | \(0.436255\pi\) | |||||||
\(984\) | 5.23559 | + | 2.60701i | 0.166904 | + | 0.0831085i | ||||
\(985\) | −31.3157 | + | 5.85392i | −0.997802 | + | 0.186522i | ||||
\(986\) | −51.5941 | − | 19.5860i | −1.64309 | − | 0.623744i | ||||
\(987\) | 0.751613 | + | 0.140501i | 0.0239241 | + | 0.00447219i | ||||
\(988\) | −0.128690 | − | 0.0971819i | −0.00409416 | − | 0.00309177i | ||||
\(989\) | 11.3174 | − | 20.3186i | 0.359872 | − | 0.646095i | ||||
\(990\) | 33.5096 | + | 12.9817i | 1.06501 | + | 0.412586i | ||||
\(991\) | −21.4243 | − | 9.45974i | −0.680564 | − | 0.300499i | 0.0346543 | − | 0.999399i | \(-0.488967\pi\) |
−0.715219 | + | 0.698901i | \(0.753673\pi\) | |||||||
\(992\) | −4.60596 | − | 2.56551i | −0.146240 | − | 0.0814549i | ||||
\(993\) | 18.5441 | + | 10.3290i | 0.588481 | + | 0.327782i | ||||
\(994\) | −0.00729284 | + | 0.00207499i | −0.000231315 | + | 6.58148e-5i | ||||
\(995\) | −8.64332 | + | 9.48126i | −0.274012 | + | 0.300576i | ||||
\(996\) | 0.728873 | + | 0.244294i | 0.0230952 | + | 0.00774074i | ||||
\(997\) | 36.1821 | − | 8.50996i | 1.14590 | − | 0.269513i | 0.387858 | − | 0.921719i | \(-0.373215\pi\) |
0.758042 | + | 0.652206i | \(0.226156\pi\) | |||||||
\(998\) | −25.6178 | − | 25.6178i | −0.810919 | − | 0.810919i | ||||
\(999\) | −34.3607 | + | 31.3239i | −1.08712 | + | 0.991045i |
(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 | 289.2.h.a.149.8 | ✓ | 768 | |
289.225 | even | 68 | inner | 289.2.h.a.225.8 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
289.2.h.a.149.8 | ✓ | 768 | 1.1 | even | 1 | trivial | |
289.2.h.a.225.8 | yes | 768 | 289.225 | even | 68 | inner |