Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [349,2,Mod(9,349)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(349, base_ring=CyclotomicField(174))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("349.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 349 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 349.i (of order \(87\), degree \(56\), 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: | \(2.78677903054\) |
Analytic rank: | \(0\) |
Dimension: | \(1568\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{87})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{87}]$ |
Embedding invariants
Embedding label | 9.10 | ||
Character | \(\chi\) | \(=\) | 349.9 |
Dual form | 349.2.i.a.194.10 |
$q$-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 \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{87}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.818321 | − | 0.415096i | −0.578640 | − | 0.293517i | 0.138594 | − | 0.990349i | \(-0.455742\pi\) |
−0.717234 | + | 0.696832i | \(0.754592\pi\) | |||||||
\(3\) | −2.39483 | + | 0.904438i | −1.38266 | + | 0.522178i | −0.929358 | − | 0.369180i | \(-0.879639\pi\) |
−0.453300 | + | 0.891358i | \(0.649753\pi\) | |||||||
\(4\) | −0.684062 | − | 0.934416i | −0.342031 | − | 0.467208i | ||||
\(5\) | −1.74670 | + | 0.451166i | −0.781146 | + | 0.201767i | −0.619411 | − | 0.785067i | \(-0.712629\pi\) |
−0.161735 | + | 0.986834i | \(0.551709\pi\) | |||||||
\(6\) | 2.33517 | + | 0.253965i | 0.953329 | + | 0.103681i | ||||
\(7\) | −4.80765 | − | 0.173681i | −1.81712 | − | 0.0656453i | −0.893526 | − | 0.449012i | \(-0.851776\pi\) |
−0.923596 | + | 0.383367i | \(0.874764\pi\) | |||||||
\(8\) | 0.468806 | + | 2.85959i | 0.165748 | + | 1.01102i | ||||
\(9\) | 2.66617 | − | 2.34884i | 0.888724 | − | 0.782946i | ||||
\(10\) | 1.61663 | + | 0.355848i | 0.511225 | + | 0.112529i | ||||
\(11\) | 1.49371 | + | 0.691064i | 0.450371 | + | 0.208364i | 0.631945 | − | 0.775014i | \(-0.282257\pi\) |
−0.181574 | + | 0.983377i | \(0.558119\pi\) | |||||||
\(12\) | 2.48334 | + | 1.61908i | 0.716877 | + | 0.467388i | ||||
\(13\) | −0.0521868 | − | 2.89010i | −0.0144740 | − | 0.801569i | −0.923231 | − | 0.384244i | \(-0.874462\pi\) |
0.908757 | − | 0.417325i | \(-0.137032\pi\) | |||||||
\(14\) | 3.86211 | + | 2.13776i | 1.03219 | + | 0.571341i | ||||
\(15\) | 3.77500 | − | 2.66025i | 0.974700 | − | 0.686872i | ||||
\(16\) | 0.103584 | − | 0.326810i | 0.0258959 | − | 0.0817026i | ||||
\(17\) | 0.176681 | − | 1.07771i | 0.0428514 | − | 0.261382i | −0.956708 | − | 0.291048i | \(-0.905996\pi\) |
0.999560 | + | 0.0296659i | \(0.00944432\pi\) | |||||||
\(18\) | −3.15678 | + | 0.815385i | −0.744059 | + | 0.192188i | ||||
\(19\) | 1.45838 | + | 0.433426i | 0.334576 | + | 0.0994347i | 0.447797 | − | 0.894135i | \(-0.352209\pi\) |
−0.113221 | + | 0.993570i | \(0.536117\pi\) | |||||||
\(20\) | 1.61642 | + | 1.32351i | 0.361443 | + | 0.295947i | ||||
\(21\) | 11.6706 | − | 3.93229i | 2.54674 | − | 0.858096i | ||||
\(22\) | −0.935476 | − | 1.18555i | −0.199444 | − | 0.252759i | ||||
\(23\) | 0.0443078 | + | 2.45376i | 0.00923882 | + | 0.511645i | 0.971175 | + | 0.238369i | \(0.0766129\pi\) |
−0.961936 | + | 0.273276i | \(0.911893\pi\) | |||||||
\(24\) | −3.70903 | − | 6.42423i | −0.757103 | − | 1.31134i | ||||
\(25\) | −1.52716 | + | 0.845318i | −0.305432 | + | 0.169064i | ||||
\(26\) | −1.15696 | + | 2.38669i | −0.226899 | + | 0.468068i | ||||
\(27\) | −0.663386 | + | 1.25128i | −0.127669 | + | 0.240809i | ||||
\(28\) | 3.12644 | + | 4.61115i | 0.590842 | + | 0.871426i | ||||
\(29\) | 3.46865 | − | 2.26148i | 0.644111 | − | 0.419946i | −0.182121 | − | 0.983276i | \(-0.558296\pi\) |
0.826232 | + | 0.563330i | \(0.190480\pi\) | |||||||
\(30\) | −4.19341 | + | 0.609949i | −0.765609 | + | 0.111361i | ||||
\(31\) | 1.62538 | + | 2.39726i | 0.291928 | + | 0.430561i | 0.945166 | − | 0.326592i | \(-0.105900\pi\) |
−0.653238 | + | 0.757153i | \(0.726590\pi\) | |||||||
\(32\) | 3.84047 | − | 3.91044i | 0.678905 | − | 0.691275i | ||||
\(33\) | −4.20221 | − | 0.304015i | −0.731512 | − | 0.0529222i | ||||
\(34\) | −0.591933 | + | 0.808570i | −0.101516 | + | 0.138669i | ||||
\(35\) | 8.47587 | − | 1.86568i | 1.43268 | − | 0.315357i | ||||
\(36\) | −4.01862 | − | 0.884564i | −0.669769 | − | 0.147427i | ||||
\(37\) | 1.67062 | − | 1.00518i | 0.274648 | − | 0.165250i | −0.371566 | − | 0.928407i | \(-0.621179\pi\) |
0.646214 | + | 0.763156i | \(0.276351\pi\) | |||||||
\(38\) | −1.01351 | − | 0.960050i | −0.164413 | − | 0.155741i | ||||
\(39\) | 2.73890 | + | 6.87411i | 0.438574 | + | 1.10074i | ||||
\(40\) | −2.10901 | − | 4.78332i | −0.333463 | − | 0.756309i | ||||
\(41\) | −1.22440 | − | 7.46850i | −0.191219 | − | 1.16638i | −0.891671 | − | 0.452684i | \(-0.850467\pi\) |
0.700452 | − | 0.713699i | \(-0.252982\pi\) | |||||||
\(42\) | −11.1826 | − | 1.62655i | −1.72551 | − | 0.250982i | ||||
\(43\) | 1.03234 | + | 11.4044i | 0.157431 | + | 1.73915i | 0.564216 | + | 0.825627i | \(0.309179\pi\) |
−0.406785 | + | 0.913524i | \(0.633350\pi\) | |||||||
\(44\) | −0.376049 | − | 1.86848i | −0.0566915 | − | 0.281684i | ||||
\(45\) | −3.59728 | + | 5.30559i | −0.536251 | + | 0.790911i | ||||
\(46\) | 0.982289 | − | 2.02636i | 0.144831 | − | 0.298770i | ||||
\(47\) | 1.51811 | + | 1.15403i | 0.221438 | + | 0.168333i | 0.710012 | − | 0.704190i | \(-0.248689\pi\) |
−0.488574 | + | 0.872523i | \(0.662483\pi\) | |||||||
\(48\) | 0.0475139 | + | 0.876342i | 0.00685804 | + | 0.126489i | ||||
\(49\) | 16.1016 | + | 1.16489i | 2.30023 | + | 0.166413i | ||||
\(50\) | 1.60059 | − | 0.0578230i | 0.226358 | − | 0.00817741i | ||||
\(51\) | 0.551597 | + | 2.74073i | 0.0772391 | + | 0.383778i | ||||
\(52\) | −2.66485 | + | 2.02577i | −0.369549 | + | 0.280924i | ||||
\(53\) | −4.05734 | − | 4.77667i | −0.557319 | − | 0.656126i | 0.409284 | − | 0.912407i | \(-0.365779\pi\) |
−0.966602 | + | 0.256281i | \(0.917503\pi\) | |||||||
\(54\) | 1.06226 | − | 0.748578i | 0.144556 | − | 0.101869i | ||||
\(55\) | −2.92084 | − | 0.533168i | −0.393846 | − | 0.0718924i | ||||
\(56\) | −1.75720 | − | 13.8293i | −0.234815 | − | 1.84802i | ||||
\(57\) | −3.88460 | + | 0.281036i | −0.514527 | + | 0.0372242i | ||||
\(58\) | −3.77719 | + | 0.410795i | −0.495970 | + | 0.0539400i | ||||
\(59\) | −9.06241 | + | 3.42253i | −1.17983 | + | 0.445576i | −0.864122 | − | 0.503282i | \(-0.832126\pi\) |
−0.315704 | + | 0.948858i | \(0.602241\pi\) | |||||||
\(60\) | −5.06810 | − | 1.70764i | −0.654290 | − | 0.220456i | ||||
\(61\) | −0.105110 | + | 1.93864i | −0.0134580 | + | 0.248217i | 0.984062 | + | 0.177828i | \(0.0569070\pi\) |
−0.997520 | + | 0.0703896i | \(0.977576\pi\) | |||||||
\(62\) | −0.334992 | − | 2.63642i | −0.0425440 | − | 0.334826i | ||||
\(63\) | −13.2260 | + | 10.8293i | −1.66632 | + | 1.36437i | ||||
\(64\) | −5.41572 | + | 1.82477i | −0.676964 | + | 0.228096i | ||||
\(65\) | 1.39507 | + | 5.02458i | 0.173037 | + | 0.623222i | ||||
\(66\) | 3.31256 | + | 1.99310i | 0.407748 | + | 0.245334i | ||||
\(67\) | −10.5668 | − | 10.0094i | −1.29094 | − | 1.22284i | −0.960262 | − | 0.279101i | \(-0.909964\pi\) |
−0.330679 | − | 0.943743i | \(-0.607278\pi\) | |||||||
\(68\) | −1.12789 | + | 0.572124i | −0.136776 | + | 0.0693802i | ||||
\(69\) | −2.32539 | − | 5.83628i | −0.279944 | − | 0.702606i | ||||
\(70\) | −7.71041 | − | 1.99157i | −0.921570 | − | 0.238038i | ||||
\(71\) | 10.0312 | + | 3.78842i | 1.19049 | + | 0.449602i | 0.867805 | − | 0.496905i | \(-0.165530\pi\) |
0.322683 | + | 0.946507i | \(0.395415\pi\) | |||||||
\(72\) | 7.96662 | + | 6.52301i | 0.938875 | + | 0.768744i | ||||
\(73\) | −5.45453 | + | 8.70574i | −0.638405 | + | 1.01893i | 0.357960 | + | 0.933737i | \(0.383473\pi\) |
−0.996364 | + | 0.0851930i | \(0.972849\pi\) | |||||||
\(74\) | −1.78435 | + | 0.129091i | −0.207426 | + | 0.0150065i | ||||
\(75\) | 2.89276 | − | 3.40562i | 0.334027 | − | 0.393247i | ||||
\(76\) | −0.592625 | − | 1.65923i | −0.0679788 | − | 0.190326i | ||||
\(77\) | −7.06122 | − | 3.58183i | −0.804700 | − | 0.408187i | ||||
\(78\) | 0.612119 | − | 6.76213i | 0.0693089 | − | 0.765660i | ||||
\(79\) | 1.95621 | − | 2.30303i | 0.220091 | − | 0.259112i | −0.641024 | − | 0.767520i | \(-0.721490\pi\) |
0.861116 | + | 0.508409i | \(0.169766\pi\) | |||||||
\(80\) | −0.0334838 | + | 0.617572i | −0.00374360 | + | 0.0690466i | ||||
\(81\) | −0.886660 | + | 6.97810i | −0.0985177 | + | 0.775344i | ||||
\(82\) | −2.09819 | + | 6.61987i | −0.231706 | + | 0.731042i | ||||
\(83\) | 2.84550 | + | 2.89734i | 0.312334 | + | 0.318025i | 0.851683 | − | 0.524058i | \(-0.175582\pi\) |
−0.539349 | + | 0.842082i | \(0.681330\pi\) | |||||||
\(84\) | −11.6578 | − | 8.21528i | −1.27197 | − | 0.896360i | ||||
\(85\) | 0.177616 | + | 1.96214i | 0.0192652 | + | 0.212824i | ||||
\(86\) | 3.88912 | − | 9.76096i | 0.419375 | − | 1.05255i | ||||
\(87\) | −6.26146 | + | 8.55304i | −0.671299 | + | 0.916982i | ||||
\(88\) | −1.27590 | + | 4.59537i | −0.136011 | + | 0.489868i | ||||
\(89\) | 10.5920 | − | 13.4235i | 1.12275 | − | 1.42288i | 0.229511 | − | 0.973306i | \(-0.426287\pi\) |
0.893241 | − | 0.449577i | \(-0.148425\pi\) | |||||||
\(90\) | 5.14606 | − | 2.84846i | 0.542442 | − | 0.300254i | ||||
\(91\) | −0.251060 | + | 13.9037i | −0.0263182 | + | 1.45750i | ||||
\(92\) | 2.26253 | − | 1.71993i | 0.235885 | − | 0.179315i | ||||
\(93\) | −6.06070 | − | 4.27099i | −0.628466 | − | 0.442881i | ||||
\(94\) | −0.763262 | − | 1.57453i | −0.0787245 | − | 0.162400i | ||||
\(95\) | −2.74290 | − | 0.0990899i | −0.281416 | − | 0.0101664i | ||||
\(96\) | −5.66053 | + | 12.8383i | −0.577726 | + | 1.31031i | ||||
\(97\) | 8.07137 | + | 2.08481i | 0.819523 | + | 0.211680i | 0.636350 | − | 0.771401i | \(-0.280444\pi\) |
0.183173 | + | 0.983081i | \(0.441363\pi\) | |||||||
\(98\) | −12.6927 | − | 7.63696i | −1.28216 | − | 0.771450i | ||||
\(99\) | 5.60569 | − | 1.66599i | 0.563393 | − | 0.167438i | ||||
\(100\) | 1.83455 | + | 0.848753i | 0.183455 | + | 0.0848753i | ||||
\(101\) | 11.1603 | − | 10.5716i | 1.11049 | − | 1.05191i | 0.112184 | − | 0.993687i | \(-0.464216\pi\) |
0.998304 | − | 0.0582219i | \(-0.0185431\pi\) | |||||||
\(102\) | 0.686280 | − | 2.47176i | 0.0679519 | − | 0.244740i | ||||
\(103\) | −0.392359 | − | 7.23664i | −0.0386603 | − | 0.713047i | −0.952047 | − | 0.305953i | \(-0.901025\pi\) |
0.913386 | − | 0.407094i | \(-0.133458\pi\) | |||||||
\(104\) | 8.24002 | − | 1.50413i | 0.808001 | − | 0.147492i | ||||
\(105\) | −18.6109 | + | 12.1339i | −1.81624 | + | 1.18415i | ||||
\(106\) | 1.33743 | + | 5.59303i | 0.129903 | + | 0.543243i | ||||
\(107\) | 0.365959 | + | 1.53041i | 0.0353786 | + | 0.147951i | 0.987452 | − | 0.157918i | \(-0.0504783\pi\) |
−0.952074 | + | 0.305869i | \(0.901053\pi\) | |||||||
\(108\) | 1.62301 | − | 0.236073i | 0.156174 | − | 0.0227162i | ||||
\(109\) | 5.05402 | + | 15.9456i | 0.484087 | + | 1.52731i | 0.812605 | + | 0.582815i | \(0.198049\pi\) |
−0.328518 | + | 0.944498i | \(0.606549\pi\) | |||||||
\(110\) | 2.16887 | + | 1.64873i | 0.206794 | + | 0.157200i | ||||
\(111\) | −3.09174 | + | 3.91821i | −0.293455 | + | 0.371900i | ||||
\(112\) | −0.554755 | + | 1.55320i | −0.0524195 | + | 0.146764i | ||||
\(113\) | 13.8159 | + | 9.00762i | 1.29969 | + | 0.847366i | 0.994481 | − | 0.104920i | \(-0.0334588\pi\) |
0.305205 | + | 0.952287i | \(0.401275\pi\) | |||||||
\(114\) | 3.29550 | + | 1.38250i | 0.308652 | + | 0.129483i | ||||
\(115\) | −1.18445 | − | 4.26599i | −0.110450 | − | 0.397806i | ||||
\(116\) | −4.48593 | − | 1.69417i | −0.416508 | − | 0.157299i | ||||
\(117\) | −6.92751 | − | 7.58293i | −0.640449 | − | 0.701042i | ||||
\(118\) | 8.83664 | + | 0.961042i | 0.813478 | + | 0.0884711i | ||||
\(119\) | −1.03660 | + | 5.15055i | −0.0950248 | + | 0.472150i | ||||
\(120\) | 9.37694 | + | 9.54779i | 0.855994 | + | 0.871590i | ||||
\(121\) | −5.36765 | − | 6.31928i | −0.487968 | − | 0.574480i | ||||
\(122\) | 0.890735 | − | 1.54280i | 0.0806433 | − | 0.139678i | ||||
\(123\) | 9.68702 | + | 16.7784i | 0.873450 | + | 1.51286i | ||||
\(124\) | 1.12818 | − | 3.15866i | 0.101313 | − | 0.283656i | ||||
\(125\) | 8.83467 | − | 8.36864i | 0.790197 | − | 0.748514i | ||||
\(126\) | 15.3183 | − | 3.37181i | 1.36466 | − | 0.300385i | ||||
\(127\) | 17.2694 | − | 7.98970i | 1.53242 | − | 0.708971i | 0.541159 | − | 0.840920i | \(-0.317986\pi\) |
0.991256 | + | 0.131949i | \(0.0421235\pi\) | |||||||
\(128\) | −5.65849 | − | 0.823050i | −0.500145 | − | 0.0727481i | ||||
\(129\) | −12.7868 | − | 26.3779i | −1.12582 | − | 2.32245i | ||||
\(130\) | 0.944069 | − | 4.69080i | 0.0828003 | − | 0.411411i | ||||
\(131\) | −1.00662 | + | 6.14012i | −0.0879490 | + | 0.536465i | 0.905698 | + | 0.423923i | \(0.139347\pi\) |
−0.993647 | + | 0.112542i | \(0.964101\pi\) | |||||||
\(132\) | 2.59050 | + | 4.13458i | 0.225474 | + | 0.359869i | ||||
\(133\) | −6.93613 | − | 2.33705i | −0.601439 | − | 0.202648i | ||||
\(134\) | 4.49217 | + | 12.5771i | 0.388064 | + | 1.08650i | ||||
\(135\) | 0.594200 | − | 2.48490i | 0.0511406 | − | 0.213866i | ||||
\(136\) | 3.16462 | 0.271364 | ||||||||
\(137\) | −0.919056 | + | 3.84343i | −0.0785203 | + | 0.328366i | −0.997882 | − | 0.0650467i | \(-0.979280\pi\) |
0.919362 | + | 0.393413i | \(0.128706\pi\) | |||||||
\(138\) | −0.519704 | + | 5.74121i | −0.0442401 | + | 0.488724i | ||||
\(139\) | −16.5633 | + | 1.80137i | −1.40488 | + | 0.152790i | −0.778950 | − | 0.627086i | \(-0.784247\pi\) |
−0.625933 | + | 0.779876i | \(0.715282\pi\) | |||||||
\(140\) | −7.54133 | − | 6.64374i | −0.637359 | − | 0.561499i | ||||
\(141\) | −4.67936 | − | 1.39069i | −0.394074 | − | 0.117117i | ||||
\(142\) | −6.63620 | − | 7.26406i | −0.556898 | − | 0.609586i | ||||
\(143\) | 1.91929 | − | 4.35304i | 0.160499 | − | 0.364019i | ||||
\(144\) | −0.491452 | − | 1.11463i | −0.0409543 | − | 0.0928862i | ||||
\(145\) | −5.03837 | + | 5.51505i | −0.418414 | + | 0.458000i | ||||
\(146\) | 8.07727 | − | 4.85993i | 0.668480 | − | 0.402211i | ||||
\(147\) | −39.6142 | + | 11.7732i | −3.26733 | + | 0.971036i | ||||
\(148\) | −2.08206 | − | 0.873450i | −0.171145 | − | 0.0717971i | ||||
\(149\) | −4.07867 | − | 5.16896i | −0.334137 | − | 0.423458i | 0.588877 | − | 0.808222i | \(-0.299570\pi\) |
−0.923015 | + | 0.384764i | \(0.874283\pi\) | |||||||
\(150\) | −3.78086 | + | 1.58612i | −0.308706 | + | 0.129506i | ||||
\(151\) | 14.4440 | + | 2.63660i | 1.17544 | + | 0.214563i | 0.731721 | − | 0.681604i | \(-0.238717\pi\) |
0.443716 | + | 0.896167i | \(0.353660\pi\) | |||||||
\(152\) | −0.555720 | + | 4.37357i | −0.0450748 | + | 0.354743i | ||||
\(153\) | −2.06029 | − | 3.28835i | −0.166565 | − | 0.265847i | ||||
\(154\) | 4.29154 | + | 5.86216i | 0.345822 | + | 0.472387i | ||||
\(155\) | −3.92062 | − | 3.45397i | −0.314911 | − | 0.277430i | ||||
\(156\) | 4.54970 | − | 7.26158i | 0.364268 | − | 0.581392i | ||||
\(157\) | 12.9103 | − | 10.5708i | 1.03035 | − | 0.843644i | 0.0425090 | − | 0.999096i | \(-0.486465\pi\) |
0.987844 | + | 0.155452i | \(0.0496833\pi\) | |||||||
\(158\) | −2.55679 | + | 1.07260i | −0.203407 | + | 0.0853318i | ||||
\(159\) | 14.0369 | + | 7.76972i | 1.11320 | + | 0.616179i | ||||
\(160\) | −4.94387 | + | 8.56304i | −0.390848 | + | 0.676968i | ||||
\(161\) | 0.213156 | − | 11.8045i | 0.0167990 | − | 0.930328i | ||||
\(162\) | 3.62215 | − | 5.34227i | 0.284583 | − | 0.419729i | ||||
\(163\) | 1.23033 | + | 2.32065i | 0.0963668 | + | 0.181767i | 0.927009 | − | 0.375040i | \(-0.122371\pi\) |
−0.830642 | + | 0.556807i | \(0.812026\pi\) | |||||||
\(164\) | −6.14112 | + | 6.25301i | −0.479541 | + | 0.488278i | ||||
\(165\) | 7.47715 | − | 1.36487i | 0.582096 | − | 0.106255i | ||||
\(166\) | −1.12585 | − | 3.55211i | −0.0873832 | − | 0.275697i | ||||
\(167\) | 11.9148 | − | 22.4737i | 0.921997 | − | 1.73907i | 0.304467 | − | 0.952523i | \(-0.401522\pi\) |
0.617530 | − | 0.786547i | \(-0.288133\pi\) | |||||||
\(168\) | 16.7160 | + | 31.5297i | 1.28966 | + | 2.43257i | ||||
\(169\) | 4.64158 | − | 0.167681i | 0.357044 | − | 0.0128986i | ||||
\(170\) | 0.669128 | − | 1.67939i | 0.0513198 | − | 0.128803i | ||||
\(171\) | 4.90635 | − | 2.26992i | 0.375198 | − | 0.173585i | ||||
\(172\) | 9.95024 | − | 8.76594i | 0.758699 | − | 0.668396i | ||||
\(173\) | 1.84068 | − | 2.01483i | 0.139945 | − | 0.153185i | −0.664337 | − | 0.747433i | \(-0.731286\pi\) |
0.804282 | + | 0.594248i | \(0.202550\pi\) | |||||||
\(174\) | 8.67422 | − | 4.40002i | 0.657591 | − | 0.333565i | ||||
\(175\) | 7.48887 | − | 3.79875i | 0.566105 | − | 0.287159i | ||||
\(176\) | 0.380571 | − | 0.416577i | 0.0286866 | − | 0.0314007i | ||||
\(177\) | 18.6075 | − | 16.3928i | 1.39863 | − | 1.23216i | ||||
\(178\) | −14.2397 | + | 6.58798i | −1.06731 | + | 0.493790i | ||||
\(179\) | −4.35772 | + | 10.9371i | −0.325712 | + | 0.817475i | 0.671369 | + | 0.741123i | \(0.265706\pi\) |
−0.997081 | + | 0.0763516i | \(0.975673\pi\) | |||||||
\(180\) | 7.41839 | − | 0.267996i | 0.552934 | − | 0.0199753i | ||||
\(181\) | 2.08846 | + | 3.93925i | 0.155234 | + | 0.292802i | 0.948915 | − | 0.315532i | \(-0.102183\pi\) |
−0.793681 | + | 0.608334i | \(0.791838\pi\) | |||||||
\(182\) | 5.97680 | − | 11.2734i | 0.443030 | − | 0.835642i | ||||
\(183\) | −1.50166 | − | 4.73779i | −0.111006 | − | 0.350227i | ||||
\(184\) | −6.99598 | + | 1.27704i | −0.515750 | + | 0.0941447i | ||||
\(185\) | −2.46457 | + | 2.50947i | −0.181198 | + | 0.184500i | ||||
\(186\) | 3.18673 | + | 6.01081i | 0.233662 | + | 0.440734i | ||||
\(187\) | 1.00867 | − | 1.48768i | 0.0737616 | − | 0.108790i | ||||
\(188\) | 0.0398695 | − | 2.20797i | 0.00290779 | − | 0.161033i | ||||
\(189\) | 3.40665 | − | 5.90050i | 0.247798 | − | 0.429198i | ||||
\(190\) | 2.20344 | + | 1.21965i | 0.159854 | + | 0.0884830i | ||||
\(191\) | 24.0269 | − | 10.0796i | 1.73852 | − | 0.729331i | 0.740144 | − | 0.672449i | \(-0.234758\pi\) |
0.998381 | − | 0.0568825i | \(-0.0181161\pi\) | |||||||
\(192\) | 11.3194 | − | 9.26820i | 0.816904 | − | 0.668874i | ||||
\(193\) | −7.34246 | + | 11.7190i | −0.528522 | + | 0.843550i | −0.999250 | − | 0.0387281i | \(-0.987669\pi\) |
0.470728 | + | 0.882278i | \(0.343991\pi\) | |||||||
\(194\) | −5.73957 | − | 5.05643i | −0.412077 | − | 0.363031i | ||||
\(195\) | −7.88538 | − | 10.7713i | −0.564684 | − | 0.771347i | ||||
\(196\) | −9.92599 | − | 15.8424i | −0.709000 | − | 1.13160i | ||||
\(197\) | −1.69511 | + | 13.3407i | −0.120771 | + | 0.950483i | 0.810394 | + | 0.585886i | \(0.199253\pi\) |
−0.931165 | + | 0.364597i | \(0.881207\pi\) | |||||||
\(198\) | −5.27879 | − | 0.963587i | −0.375148 | − | 0.0684791i | ||||
\(199\) | −21.5683 | + | 9.04814i | −1.52893 | + | 0.641405i | −0.980805 | − | 0.194989i | \(-0.937533\pi\) |
−0.548128 | + | 0.836395i | \(0.684659\pi\) | |||||||
\(200\) | −3.13320 | − | 3.97076i | −0.221551 | − | 0.280775i | ||||
\(201\) | 34.3586 | + | 14.4139i | 2.42347 | + | 1.01667i | ||||
\(202\) | −13.5209 | + | 4.01835i | −0.951326 | + | 0.282730i | ||||
\(203\) | −17.0688 | + | 10.2700i | −1.19800 | + | 0.720810i | ||||
\(204\) | 2.18365 | − | 2.39025i | 0.152886 | − | 0.167351i | ||||
\(205\) | 5.50818 | + | 12.4928i | 0.384708 | + | 0.872534i | ||||
\(206\) | −2.68282 | + | 6.08476i | −0.186921 | + | 0.423945i | ||||
\(207\) | 5.88162 | + | 6.43809i | 0.408801 | + | 0.447478i | ||||
\(208\) | −0.949920 | − | 0.282312i | −0.0658651 | − | 0.0195748i | ||||
\(209\) | 1.87888 | + | 1.65525i | 0.129965 | + | 0.114496i | ||||
\(210\) | 20.2664 | − | 2.20410i | 1.39852 | − | 0.152098i | ||||
\(211\) | 1.03204 | − | 11.4010i | 0.0710484 | − | 0.784877i | −0.879825 | − | 0.475297i | \(-0.842341\pi\) |
0.950874 | − | 0.309579i | \(-0.100188\pi\) | |||||||
\(212\) | −1.68792 | + | 7.05878i | −0.115927 | + | 0.484799i | ||||
\(213\) | −27.4495 | −1.88081 | ||||||||
\(214\) | 0.335796 | − | 1.40428i | 0.0229546 | − | 0.0959943i | ||||
\(215\) | −6.94845 | − | 19.4542i | −0.473881 | − | 1.32677i | ||||
\(216\) | −3.88914 | − | 1.31040i | −0.264622 | − | 0.0891617i | ||||
\(217\) | −7.39792 | − | 11.8075i | −0.502204 | − | 0.801546i | ||||
\(218\) | 2.48315 | − | 15.1465i | 0.168180 | − | 1.02585i | ||||
\(219\) | 5.18890 | − | 25.7821i | 0.350633 | − | 1.74219i | ||||
\(220\) | 1.49984 | + | 3.09400i | 0.101119 | + | 0.208598i | ||||
\(221\) | −3.12390 | − | 0.454384i | −0.210136 | − | 0.0305651i | ||||
\(222\) | 4.15647 | − | 1.92299i | 0.278964 | − | 0.129062i | ||||
\(223\) | 8.20683 | − | 1.80646i | 0.549570 | − | 0.120969i | 0.0684991 | − | 0.997651i | \(-0.478179\pi\) |
0.481071 | + | 0.876682i | \(0.340248\pi\) | |||||||
\(224\) | −19.1428 | + | 18.1330i | −1.27903 | + | 1.21156i | ||||
\(225\) | −2.08616 | + | 5.84081i | −0.139077 | + | 0.389388i | ||||
\(226\) | −7.56677 | − | 13.1060i | −0.503334 | − | 0.871800i | ||||
\(227\) | −8.08342 | + | 14.0009i | −0.536515 | + | 0.929272i | 0.462573 | + | 0.886581i | \(0.346926\pi\) |
−0.999088 | + | 0.0426905i | \(0.986407\pi\) | |||||||
\(228\) | 2.91991 | + | 3.43758i | 0.193376 | + | 0.227659i | ||||
\(229\) | −0.712021 | − | 0.724994i | −0.0470517 | − | 0.0479090i | 0.689533 | − | 0.724254i | \(-0.257816\pi\) |
−0.736585 | + | 0.676345i | \(0.763563\pi\) | |||||||
\(230\) | −0.801538 | + | 3.98261i | −0.0528518 | + | 0.262605i | ||||
\(231\) | 20.1500 | + | 2.19144i | 1.32577 | + | 0.144186i | ||||
\(232\) | 8.09302 | + | 8.85870i | 0.531333 | + | 0.581602i | ||||
\(233\) | 26.7479 | + | 10.1017i | 1.75232 | + | 0.661784i | 0.999996 | + | 0.00298664i | \(0.000950679\pi\) |
0.752321 | + | 0.658797i | \(0.228934\pi\) | |||||||
\(234\) | 2.52128 | + | 9.08084i | 0.164821 | + | 0.593633i | ||||
\(235\) | −3.17233 | − | 1.33083i | −0.206940 | − | 0.0868137i | ||||
\(236\) | 9.39732 | + | 6.12684i | 0.611713 | + | 0.398823i | ||||
\(237\) | −2.60186 | + | 7.28466i | −0.169009 | + | 0.473190i | ||||
\(238\) | 2.98624 | − | 3.78451i | 0.193569 | − | 0.245314i | ||||
\(239\) | 9.85971 | + | 7.49516i | 0.637772 | + | 0.484821i | 0.873388 | − | 0.487025i | \(-0.161918\pi\) |
−0.235616 | + | 0.971846i | \(0.575711\pi\) | |||||||
\(240\) | −0.478367 | − | 1.50927i | −0.0308785 | − | 0.0974227i | ||||
\(241\) | −13.7097 | + | 1.99413i | −0.883120 | + | 0.128453i | −0.570376 | − | 0.821384i | \(-0.693202\pi\) |
−0.312744 | + | 0.949837i | \(0.601248\pi\) | |||||||
\(242\) | 1.76935 | + | 7.39929i | 0.113738 | + | 0.475644i | ||||
\(243\) | −5.17598 | − | 21.6456i | −0.332040 | − | 1.38857i | ||||
\(244\) | 1.88340 | − | 1.22793i | 0.120572 | − | 0.0786103i | ||||
\(245\) | −28.6502 | + | 5.22978i | −1.83039 | + | 0.334118i | ||||
\(246\) | −0.962440 | − | 17.7512i | −0.0613630 | − | 1.13177i | ||||
\(247\) | 1.17653 | − | 4.23749i | 0.0748611 | − | 0.269625i | ||||
\(248\) | −6.09319 | + | 5.77178i | −0.386918 | + | 0.366508i | ||||
\(249\) | −9.43496 | − | 4.36508i | −0.597916 | − | 0.276626i | ||||
\(250\) | −10.7034 | + | 3.18100i | −0.676941 | + | 0.201184i | ||||
\(251\) | 1.42104 | + | 0.855010i | 0.0896951 | + | 0.0539678i | 0.559695 | − | 0.828699i | \(-0.310918\pi\) |
−0.470000 | + | 0.882667i | \(0.655746\pi\) | |||||||
\(252\) | 19.1665 | + | 4.95064i | 1.20737 | + | 0.311861i | ||||
\(253\) | −1.62953 | + | 3.69583i | −0.102447 | + | 0.232355i | ||||
\(254\) | −17.4484 | − | 0.630342i | −1.09481 | − | 0.0395511i | ||||
\(255\) | −2.19999 | − | 4.53835i | −0.137769 | − | 0.284203i | ||||
\(256\) | 13.6317 | + | 9.60631i | 0.851984 | + | 0.600394i | ||||
\(257\) | −9.31597 | + | 7.08182i | −0.581114 | + | 0.441752i | −0.853984 | − | 0.520299i | \(-0.825820\pi\) |
0.272870 | + | 0.962051i | \(0.412027\pi\) | |||||||
\(258\) | −0.485616 | + | 26.8933i | −0.0302331 | + | 1.67431i | ||||
\(259\) | −8.20635 | + | 4.54240i | −0.509918 | + | 0.282251i | ||||
\(260\) | 3.74073 | − | 4.74069i | 0.231990 | − | 0.294005i | ||||
\(261\) | 3.93616 | − | 14.1768i | 0.243642 | − | 0.877520i | ||||
\(262\) | 3.37248 | − | 4.60675i | 0.208352 | − | 0.284606i | ||||
\(263\) | 3.13020 | − | 7.85620i | 0.193016 | − | 0.484434i | −0.800336 | − | 0.599552i | \(-0.795345\pi\) |
0.993352 | + | 0.115118i | \(0.0367247\pi\) | |||||||
\(264\) | −1.10066 | − | 12.1591i | −0.0677412 | − | 0.748342i | ||||
\(265\) | 9.24201 | + | 6.51286i | 0.567732 | + | 0.400082i | ||||
\(266\) | 4.70587 | + | 4.79162i | 0.288536 | + | 0.293793i | ||||
\(267\) | −13.2255 | + | 41.7268i | −0.809385 | + | 2.55364i | ||||
\(268\) | −2.12460 | + | 16.7208i | −0.129781 | + | 1.02139i | ||||
\(269\) | −0.0437734 | + | 0.807352i | −0.00266891 | + | 0.0492251i | −0.999564 | − | 0.0295099i | \(-0.990605\pi\) |
0.996896 | + | 0.0787350i | \(0.0250881\pi\) | |||||||
\(270\) | −1.51772 | + | 1.78680i | −0.0923654 | + | 0.108741i | ||||
\(271\) | −0.608181 | + | 6.71862i | −0.0369444 | + | 0.408127i | 0.956325 | + | 0.292304i | \(0.0944219\pi\) |
−0.993270 | + | 0.115823i | \(0.963049\pi\) | |||||||
\(272\) | −0.333904 | − | 0.169374i | −0.0202459 | − | 0.0102698i | ||||
\(273\) | −11.9738 | − | 33.5240i | −0.724684 | − | 2.02897i | ||||
\(274\) | 2.34747 | − | 2.76366i | 0.141816 | − | 0.166959i | ||||
\(275\) | −2.86530 | + | 0.207294i | −0.172784 | + | 0.0125003i | ||||
\(276\) | −3.86281 | + | 6.16526i | −0.232514 | + | 0.371105i | ||||
\(277\) | 6.36911 | + | 5.21497i | 0.382683 | + | 0.313337i | 0.805184 | − | 0.593025i | \(-0.202066\pi\) |
−0.422502 | + | 0.906362i | \(0.638848\pi\) | |||||||
\(278\) | 14.3019 | + | 5.40127i | 0.857768 | + | 0.323947i | ||||
\(279\) | 9.96434 | + | 2.57375i | 0.596549 | + | 0.154087i | ||||
\(280\) | 9.30860 | + | 23.3628i | 0.556296 | + | 1.39620i | ||||
\(281\) | −7.07122 | + | 3.58690i | −0.421834 | + | 0.213976i | −0.650464 | − | 0.759537i | \(-0.725426\pi\) |
0.228631 | + | 0.973513i | \(0.426575\pi\) | |||||||
\(282\) | 3.25195 | + | 3.08041i | 0.193651 | + | 0.183436i | ||||
\(283\) | −16.5289 | − | 9.94508i | −0.982538 | − | 0.591174i | −0.0688664 | − | 0.997626i | \(-0.521938\pi\) |
−0.913672 | + | 0.406452i | \(0.866766\pi\) | |||||||
\(284\) | −3.32202 | − | 11.9648i | −0.197126 | − | 0.709983i | ||||
\(285\) | 6.65841 | − | 2.24348i | 0.394410 | − | 0.132892i | ||||
\(286\) | −3.37752 | + | 2.76549i | −0.199717 | + | 0.163527i | ||||
\(287\) | 4.58934 | + | 36.1186i | 0.270900 | + | 2.13201i | ||||
\(288\) | 1.05436 | − | 19.4465i | 0.0621288 | − | 1.14590i | ||||
\(289\) | 14.9799 | + | 5.04731i | 0.881169 | + | 0.296900i | ||||
\(290\) | 6.41227 | − | 2.42167i | 0.376542 | − | 0.142206i | ||||
\(291\) | −21.2152 | + | 2.30729i | −1.24365 | + | 0.135256i | ||||
\(292\) | 11.8660 | − | 0.858463i | 0.694406 | − | 0.0502377i | ||||
\(293\) | −3.09763 | − | 24.3787i | −0.180966 | − | 1.42422i | −0.781143 | − | 0.624352i | \(-0.785363\pi\) |
0.600177 | − | 0.799867i | \(-0.295097\pi\) | |||||||
\(294\) | 37.3041 | + | 6.80947i | 2.17562 | + | 0.397136i | ||||
\(295\) | 14.2852 | − | 10.0668i | 0.831714 | − | 0.586110i | ||||
\(296\) | 3.65759 | + | 4.30605i | 0.212593 | + | 0.250284i | ||||
\(297\) | −1.85562 | + | 1.41061i | −0.107674 | + | 0.0818517i | ||||
\(298\) | 1.19204 | + | 5.92291i | 0.0690531 | + | 0.343105i | ||||
\(299\) | 7.08931 | − | 0.256108i | 0.409985 | − | 0.0148111i | ||||
\(300\) | −5.16109 | − | 0.373386i | −0.297976 | − | 0.0215574i | ||||
\(301\) | −2.98242 | − | 55.0076i | −0.171904 | − | 3.17058i | ||||
\(302\) | −10.7254 | − | 8.15323i | −0.617177 | − | 0.469166i | ||||
\(303\) | −17.1656 | + | 35.4109i | −0.986141 | + | 2.03430i | ||||
\(304\) | 0.292713 | − | 0.431719i | 0.0167882 | − | 0.0247608i | ||||
\(305\) | −0.691052 | − | 3.43364i | −0.0395695 | − | 0.196609i | ||||
\(306\) | 0.321003 | + | 3.54614i | 0.0183505 | + | 0.202719i | ||||
\(307\) | −10.0945 | − | 1.46829i | −0.576125 | − | 0.0837997i | −0.150357 | − | 0.988632i | \(-0.548042\pi\) |
−0.425768 | + | 0.904832i | \(0.639996\pi\) | |||||||
\(308\) | 1.48339 | + | 9.04830i | 0.0845242 | + | 0.515575i | ||||
\(309\) | 7.48473 | + | 16.9757i | 0.425791 | + | 0.965713i | ||||
\(310\) | 1.77459 | + | 4.45389i | 0.100790 | + | 0.252964i | ||||
\(311\) | −9.84243 | − | 9.32325i | −0.558113 | − | 0.528673i | 0.355811 | − | 0.934558i | \(-0.384205\pi\) |
−0.913924 | + | 0.405885i | \(0.866963\pi\) | |||||||
\(312\) | −18.3731 | + | 11.0547i | −1.04017 | + | 0.625851i | ||||
\(313\) | −14.3480 | − | 3.15824i | −0.811000 | − | 0.178515i | −0.209935 | − | 0.977715i | \(-0.567325\pi\) |
−0.601064 | + | 0.799201i | \(0.705256\pi\) | |||||||
\(314\) | −14.9527 | + | 3.29133i | −0.843827 | + | 0.185740i | ||||
\(315\) | 18.2159 | − | 24.8827i | 1.02635 | − | 1.40198i | ||||
\(316\) | −3.49016 | − | 0.252500i | −0.196337 | − | 0.0142043i | ||||
\(317\) | 2.76680 | − | 2.81721i | 0.155399 | − | 0.158230i | −0.631362 | − | 0.775488i | \(-0.717504\pi\) |
0.786761 | + | 0.617258i | \(0.211757\pi\) | |||||||
\(318\) | −8.26147 | − | 12.1848i | −0.463280 | − | 0.683288i | ||||
\(319\) | 6.74398 | − | 0.980939i | 0.377590 | − | 0.0549220i | ||||
\(320\) | 8.63634 | − | 5.63070i | 0.482786 | − | 0.314766i | ||||
\(321\) | −2.26057 | − | 3.33410i | −0.126173 | − | 0.186091i | ||||
\(322\) | −5.07444 | + | 9.57142i | −0.282788 | + | 0.533394i | ||||
\(323\) | 0.724774 | − | 1.49513i | 0.0403275 | − | 0.0831914i | ||||
\(324\) | 7.12698 | − | 3.94494i | 0.395943 | − | 0.219163i | ||||
\(325\) | 2.52275 | + | 4.36953i | 0.139937 | + | 0.242378i | ||||
\(326\) | −0.0435128 | − | 2.40974i | −0.00240995 | − | 0.133463i | ||||
\(327\) | −26.5254 | − | 33.6160i | −1.46686 | − | 1.85897i | ||||
\(328\) | 20.7828 | − | 7.00254i | 1.14754 | − | 0.386651i | ||||
\(329\) | −7.09809 | − | 5.81186i | −0.391330 | − | 0.320418i | ||||
\(330\) | −6.68526 | − | 1.98683i | −0.368011 | − | 0.109371i | ||||
\(331\) | −21.1464 | + | 5.46205i | −1.16231 | + | 0.300221i | −0.781184 | − | 0.624301i | \(-0.785384\pi\) |
−0.381129 | + | 0.924522i | \(0.624465\pi\) | |||||||
\(332\) | 0.760827 | − | 4.64084i | 0.0417558 | − | 0.254699i | ||||
\(333\) | 2.09316 | − | 6.60400i | 0.114705 | − | 0.361897i | ||||
\(334\) | −19.0789 | + | 13.4449i | −1.04395 | + | 0.735674i | ||||
\(335\) | 22.9729 | + | 12.7160i | 1.25514 | + | 0.694750i | ||||
\(336\) | −0.0762262 | − | 4.22140i | −0.00415848 | − | 0.230296i | ||||
\(337\) | −3.45502 | − | 2.25259i | −0.188207 | − | 0.122707i | 0.448592 | − | 0.893737i | \(-0.351926\pi\) |
−0.636799 | + | 0.771030i | \(0.719742\pi\) | |||||||
\(338\) | −3.86790 | − | 1.78948i | −0.210386 | − | 0.0973350i | ||||
\(339\) | −41.2335 | − | 9.07618i | −2.23950 | − | 0.492951i | ||||
\(340\) | 1.71195 | − | 1.50819i | 0.0928436 | − | 0.0817931i | ||||
\(341\) | 0.771192 | + | 4.70406i | 0.0417624 | + | 0.254739i | ||||
\(342\) | −4.95720 | − | 0.179084i | −0.268055 | − | 0.00968374i | ||||
\(343\) | −43.7305 | − | 4.75598i | −2.36122 | − | 0.256799i | ||||
\(344\) | −32.1278 | + | 8.29851i | −1.73222 | + | 0.447426i | ||||
\(345\) | 6.69488 | + | 9.14508i | 0.360440 | + | 0.492355i | ||||
\(346\) | −2.34262 | + | 0.884718i | −0.125940 | + | 0.0475627i | ||||
\(347\) | 16.5115 | + | 8.37552i | 0.886384 | + | 0.449621i | 0.835759 | − | 0.549097i | \(-0.185028\pi\) |
0.0506251 | + | 0.998718i | \(0.483879\pi\) | |||||||
\(348\) | 12.2753 | 0.658026 | ||||||||
\(349\) | −14.0304 | − | 12.3348i | −0.751030 | − | 0.660268i | ||||
\(350\) | −7.70514 | −0.411857 | ||||||||
\(351\) | 3.65094 | + | 1.85195i | 0.194873 | + | 0.0988498i | ||||
\(352\) | 8.43892 | − | 3.18706i | 0.449796 | − | 0.169871i | ||||
\(353\) | −4.12776 | − | 5.63844i | −0.219698 | − | 0.300104i | 0.682965 | − | 0.730451i | \(-0.260690\pi\) |
−0.902664 | + | 0.430347i | \(0.858391\pi\) | |||||||
\(354\) | −22.0315 | + | 5.69066i | −1.17096 | + | 0.302455i | ||||
\(355\) | −19.2307 | − | 2.09147i | −1.02066 | − | 0.111003i | ||||
\(356\) | −19.7887 | − | 0.714885i | −1.04880 | − | 0.0378888i | ||||
\(357\) | −2.17588 | − | 13.2723i | −0.115160 | − | 0.702442i | ||||
\(358\) | 8.10595 | − | 7.14115i | 0.428413 | − | 0.377422i | ||||
\(359\) | −14.2683 | − | 3.14069i | −0.753052 | − | 0.165759i | −0.178175 | − | 0.983999i | \(-0.557019\pi\) |
−0.574877 | + | 0.818239i | \(0.694950\pi\) | |||||||
\(360\) | −16.8582 | − | 7.79944i | −0.888506 | − | 0.411067i | ||||
\(361\) | −13.9770 | − | 9.11269i | −0.735632 | − | 0.479615i | ||||
\(362\) | −0.0738621 | − | 4.09048i | −0.00388211 | − | 0.214991i | ||||
\(363\) | 18.5700 | + | 10.2789i | 0.974674 | + | 0.539504i | ||||
\(364\) | 13.1635 | − | 9.27636i | 0.689957 | − | 0.486213i | ||||
\(365\) | 5.59968 | − | 17.6672i | 0.293101 | − | 0.924743i | ||||
\(366\) | −0.737797 | + | 4.50036i | −0.0385652 | + | 0.235238i | ||||
\(367\) | 22.7174 | − | 5.86784i | 1.18584 | − | 0.306299i | 0.395210 | − | 0.918591i | \(-0.370672\pi\) |
0.790632 | + | 0.612292i | \(0.209752\pi\) | |||||||
\(368\) | 0.806505 | + | 0.239690i | 0.0420420 | + | 0.0124947i | ||||
\(369\) | −20.8067 | − | 17.0364i | −1.08316 | − | 0.886879i | ||||
\(370\) | 3.05847 | − | 1.03052i | 0.159003 | − | 0.0535742i | ||||
\(371\) | 18.6767 | + | 23.6693i | 0.969644 | + | 1.22885i | ||||
\(372\) | 0.155017 | + | 8.58483i | 0.00803726 | + | 0.445103i | ||||
\(373\) | 12.0130 | + | 20.8071i | 0.622009 | + | 1.07735i | 0.989111 | + | 0.147171i | \(0.0470167\pi\) |
−0.367102 | + | 0.930181i | \(0.619650\pi\) | |||||||
\(374\) | −1.44295 | + | 0.798706i | −0.0746132 | + | 0.0413001i | ||||
\(375\) | −13.5886 | + | 28.0319i | −0.701715 | + | 1.44756i | ||||
\(376\) | −2.58836 | + | 4.88217i | −0.133485 | + | 0.251779i | ||||
\(377\) | −6.71691 | − | 9.90671i | −0.345939 | − | 0.510221i | ||||
\(378\) | −5.23700 | + | 3.41441i | −0.269362 | + | 0.175618i | ||||
\(379\) | −4.63190 | + | 0.673728i | −0.237925 | + | 0.0346071i | −0.261858 | − | 0.965106i | \(-0.584335\pi\) |
0.0239331 | + | 0.999714i | \(0.492381\pi\) | |||||||
\(380\) | 1.78372 | + | 2.63079i | 0.0915030 | + | 0.134957i | ||||
\(381\) | −34.1313 | + | 34.7532i | −1.74860 | + | 1.78046i | ||||
\(382\) | −23.8457 | − | 1.72515i | −1.22005 | − | 0.0882662i | ||||
\(383\) | −2.08840 | + | 2.85271i | −0.106712 | + | 0.145767i | −0.856947 | − | 0.515405i | \(-0.827642\pi\) |
0.750235 | + | 0.661171i | \(0.229940\pi\) | |||||||
\(384\) | 14.2956 | − | 3.14669i | 0.729517 | − | 0.160579i | ||||
\(385\) | 13.9498 | + | 3.07058i | 0.710947 | + | 0.156491i | ||||
\(386\) | 10.8730 | − | 6.54205i | 0.553420 | − | 0.332982i | ||||
\(387\) | 29.5394 | + | 27.9812i | 1.50157 | + | 1.42237i | ||||
\(388\) | −3.57324 | − | 8.96815i | −0.181404 | − | 0.455289i | ||||
\(389\) | −5.31447 | − | 12.0535i | −0.269455 | − | 0.611134i | 0.727751 | − | 0.685841i | \(-0.240566\pi\) |
−0.997206 | + | 0.0747070i | \(0.976198\pi\) | |||||||
\(390\) | 1.98165 | + | 12.0875i | 0.100345 | + | 0.612077i | ||||
\(391\) | 2.65227 | + | 0.385783i | 0.134131 | + | 0.0195099i | ||||
\(392\) | 4.21741 | + | 46.5900i | 0.213011 | + | 2.35315i | ||||
\(393\) | −3.14267 | − | 15.6150i | −0.158527 | − | 0.787673i | ||||
\(394\) | 6.92479 | − | 10.2133i | 0.348866 | − | 0.514539i | ||||
\(395\) | −2.37786 | + | 4.90528i | −0.119643 | + | 0.246811i | ||||
\(396\) | −5.39136 | − | 4.09841i | −0.270926 | − | 0.205953i | ||||
\(397\) | 1.71863 | + | 31.6982i | 0.0862555 | + | 1.59089i | 0.646731 | + | 0.762718i | \(0.276136\pi\) |
−0.560476 | + | 0.828171i | \(0.689382\pi\) | |||||||
\(398\) | 21.4056 | + | 1.54862i | 1.07297 | + | 0.0776251i | ||||
\(399\) | 18.7246 | − | 0.676444i | 0.937402 | − | 0.0338646i | ||||
\(400\) | 0.118070 | + | 0.586653i | 0.00590348 | + | 0.0293326i | ||||
\(401\) | 1.24545 | − | 0.946763i | 0.0621946 | − | 0.0472791i | −0.573615 | − | 0.819125i | \(-0.694459\pi\) |
0.635810 | + | 0.771846i | \(0.280666\pi\) | |||||||
\(402\) | −22.1333 | − | 26.0573i | −1.10391 | − | 1.29962i | ||||
\(403\) | 6.84350 | − | 4.82263i | 0.340899 | − | 0.240232i | ||||
\(404\) | −17.5125 | − | 3.19672i | −0.871281 | − | 0.159043i | ||||
\(405\) | −1.59955 | − | 12.5886i | −0.0794825 | − | 0.625535i | ||||
\(406\) | 18.2308 | − | 1.31893i | 0.904779 | − | 0.0654574i | ||||
\(407\) | 3.19007 | − | 0.346941i | 0.158126 | − | 0.0171972i | ||||
\(408\) | −7.57875 | + | 2.86221i | −0.375204 | + | 0.141700i | ||||
\(409\) | 12.1754 | + | 4.10236i | 0.602034 | + | 0.202849i | 0.603782 | − | 0.797150i | \(-0.293660\pi\) |
−0.00174789 | + | 0.999998i | \(0.500556\pi\) | |||||||
\(410\) | 0.678247 | − | 12.5095i | 0.0334962 | − | 0.617801i | ||||
\(411\) | −1.27516 | − | 10.0356i | −0.0628988 | − | 0.495020i | ||||
\(412\) | −6.49363 | + | 5.31693i | −0.319918 | + | 0.261946i | ||||
\(413\) | 44.1634 | − | 14.8804i | 2.17314 | − | 0.732215i | ||||
\(414\) | −2.14063 | − | 7.70986i | −0.105206 | − | 0.378919i | ||||
\(415\) | −6.27740 | − | 3.77699i | −0.308145 | − | 0.185405i | ||||
\(416\) | −11.5020 | − | 10.8953i | −0.563931 | − | 0.534184i | ||||
\(417\) | 38.0372 | − | 19.2945i | 1.86269 | − | 0.944856i | ||||
\(418\) | −0.850439 | − | 2.13444i | −0.0415963 | − | 0.104399i | ||||
\(419\) | 32.5947 | + | 8.41909i | 1.59235 | + | 0.411300i | 0.938488 | − | 0.345311i | \(-0.112226\pi\) |
0.653866 | + | 0.756610i | \(0.273146\pi\) | |||||||
\(420\) | 24.0691 | + | 9.08999i | 1.17445 | + | 0.443546i | ||||
\(421\) | −23.9932 | − | 19.6455i | −1.16936 | − | 0.957462i | −0.169752 | − | 0.985487i | \(-0.554297\pi\) |
−0.999607 | + | 0.0280247i | \(0.991078\pi\) | |||||||
\(422\) | −5.57704 | + | 8.90127i | −0.271486 | + | 0.433307i | ||||
\(423\) | 6.75817 | − | 0.488929i | 0.328593 | − | 0.0237725i | ||||
\(424\) | 11.7572 | − | 13.8416i | 0.570980 | − | 0.672210i | ||||
\(425\) | 0.641184 | + | 1.79518i | 0.0311020 | + | 0.0870791i | ||||
\(426\) | 22.4625 | + | 11.3942i | 1.08831 | + | 0.552050i | ||||
\(427\) | 0.842037 | − | 9.30205i | 0.0407490 | − | 0.450158i | ||||
\(428\) | 1.17970 | − | 1.38885i | 0.0570231 | − | 0.0671328i | ||||
\(429\) | −0.659333 | + | 12.1607i | −0.0318329 | + | 0.587123i | ||||
\(430\) | −2.38930 | + | 18.8041i | −0.115222 | + | 0.906813i | ||||
\(431\) | −3.50170 | + | 11.0480i | −0.168671 | + | 0.532162i | −0.999711 | − | 0.0240504i | \(-0.992344\pi\) |
0.831040 | + | 0.556213i | \(0.187746\pi\) | |||||||
\(432\) | 0.340215 | + | 0.346414i | 0.0163686 | + | 0.0166668i | ||||
\(433\) | 13.8174 | + | 9.73715i | 0.664022 | + | 0.467938i | 0.858394 | − | 0.512990i | \(-0.171462\pi\) |
−0.194372 | + | 0.980928i | \(0.562267\pi\) | |||||||
\(434\) | 1.15263 | + | 12.7332i | 0.0553279 | + | 0.611212i | ||||
\(435\) | 7.07803 | − | 17.7645i | 0.339366 | − | 0.851744i | ||||
\(436\) | 11.4426 | − | 15.6303i | 0.548000 | − | 0.748557i | ||||
\(437\) | −0.998906 | + | 3.59774i | −0.0477842 | + | 0.172103i | ||||
\(438\) | −14.9482 | + | 18.9441i | −0.714254 | + | 0.905186i | ||||
\(439\) | −10.1881 | + | 5.63935i | −0.486252 | + | 0.269152i | −0.708335 | − | 0.705876i | \(-0.750554\pi\) |
0.222083 | + | 0.975028i | \(0.428714\pi\) | |||||||
\(440\) | 0.155334 | − | 8.60236i | 0.00740524 | − | 0.410101i | ||||
\(441\) | 45.6658 | − | 34.7142i | 2.17456 | − | 1.65306i | ||||
\(442\) | 2.36774 | + | 1.66855i | 0.112622 | + | 0.0793648i | ||||
\(443\) | 6.00051 | + | 12.3784i | 0.285093 | + | 0.588116i | 0.992990 | − | 0.118199i | \(-0.0377122\pi\) |
−0.707897 | + | 0.706316i | \(0.750356\pi\) | |||||||
\(444\) | 5.77618 | + | 0.208670i | 0.274125 | + | 0.00990304i | ||||
\(445\) | −12.4448 | + | 28.2255i | −0.589942 | + | 1.33801i | ||||
\(446\) | −7.46567 | − | 1.92836i | −0.353510 | − | 0.0913104i | ||||
\(447\) | 14.4427 | + | 8.68991i | 0.683118 | + | 0.411019i | ||||
\(448\) | 26.3538 | − | 7.83224i | 1.24510 | − | 0.370038i | ||||
\(449\) | 34.9032 | + | 16.1479i | 1.64718 | + | 0.762068i | 1.00000 | 0.000267932i | \(-8.52853e-5\pi\) | |
0.647182 | + | 0.762335i | \(0.275947\pi\) | |||||||
\(450\) | 4.13164 | − | 3.91370i | 0.194768 | − | 0.184494i | ||||
\(451\) | 3.33231 | − | 12.0019i | 0.156913 | − | 0.565148i | ||||
\(452\) | −1.03403 | − | 19.0715i | −0.0486366 | − | 0.897049i | ||||
\(453\) | −36.9757 | + | 6.74951i | −1.73727 | + | 0.317120i | ||||
\(454\) | 12.4265 | − | 8.10182i | 0.583206 | − | 0.380237i | ||||
\(455\) | −5.83433 | − | 24.3987i | −0.273517 | − | 1.14383i | ||||
\(456\) | −2.62477 | − | 10.9766i | −0.122916 | − | 0.514026i | ||||
\(457\) | 24.3010 | − | 3.53467i | 1.13675 | − | 0.165345i | 0.450546 | − | 0.892753i | \(-0.351229\pi\) |
0.686205 | + | 0.727408i | \(0.259275\pi\) | |||||||
\(458\) | 0.281719 | + | 0.888835i | 0.0131639 | + | 0.0415325i | ||||
\(459\) | 1.23130 | + | 0.936013i | 0.0574723 | + | 0.0436893i | ||||
\(460\) | −3.17597 | + | 4.02496i | −0.148081 | + | 0.187665i | ||||
\(461\) | 7.22402 | − | 20.2258i | 0.336456 | − | 0.942008i | −0.647258 | − | 0.762271i | \(-0.724085\pi\) |
0.983715 | − | 0.179737i | \(-0.0575246\pi\) | |||||||
\(462\) | −15.5795 | − | 10.1575i | −0.724823 | − | 0.472569i | ||||
\(463\) | −8.74587 | − | 3.66900i | −0.406455 | − | 0.170513i | 0.174111 | − | 0.984726i | \(-0.444295\pi\) |
−0.580566 | + | 0.814213i | \(0.697169\pi\) | |||||||
\(464\) | −0.379779 | − | 1.36784i | −0.0176308 | − | 0.0635005i | ||||
\(465\) | 12.5131 | + | 4.72574i | 0.580282 | + | 0.219151i | ||||
\(466\) | −17.6952 | − | 19.3694i | −0.819716 | − | 0.897269i | ||||
\(467\) | 34.5831 | + | 3.76114i | 1.60031 | + | 0.174045i | 0.864320 | − | 0.502943i | \(-0.167749\pi\) |
0.735995 | + | 0.676987i | \(0.236715\pi\) | |||||||
\(468\) | −2.34676 | + | 11.6604i | −0.108479 | + | 0.539000i | ||||
\(469\) | 49.0631 | + | 49.9570i | 2.26552 | + | 2.30680i | ||||
\(470\) | 2.04356 | + | 2.40587i | 0.0942624 | + | 0.110974i | ||||
\(471\) | −21.3573 | + | 36.9920i | −0.984093 | + | 1.70450i | ||||
\(472\) | −14.0355 | − | 24.3103i | −0.646038 | − | 1.11897i | ||||
\(473\) | −6.33913 | + | 17.7483i | −0.291474 | + | 0.816066i | ||||
\(474\) | 5.15299 | − | 4.88117i | 0.236684 | − | 0.224199i | ||||
\(475\) | −2.59357 | + | 0.570888i | −0.119001 | + | 0.0261941i | ||||
\(476\) | 5.52185 | − | 2.55468i | 0.253094 | − | 0.117094i | ||||
\(477\) | −22.0372 | − | 3.20540i | −1.00901 | − | 0.146765i | ||||
\(478\) | −4.95720 | − | 10.2262i | −0.226737 | − | 0.467734i | ||||
\(479\) | −2.46826 | + | 12.2641i | −0.112778 | + | 0.560359i | 0.883064 | + | 0.469253i | \(0.155477\pi\) |
−0.995841 | + | 0.0911056i | \(0.970960\pi\) | |||||||
\(480\) | 4.09502 | − | 24.9785i | 0.186911 | − | 1.14011i | ||||
\(481\) | −2.99225 | − | 4.77580i | −0.136435 | − | 0.217758i | ||||
\(482\) | 12.0467 | + | 4.05900i | 0.548712 | + | 0.184883i | ||||
\(483\) | 10.1660 | + | 28.4627i | 0.462569 | + | 1.29510i | ||||
\(484\) | −2.23304 | + | 9.33839i | −0.101502 | + | 0.424472i | ||||
\(485\) | −15.0388 | −0.682877 | ||||||||
\(486\) | −4.74938 | + | 19.8616i | −0.215436 | + | 0.900939i | ||||
\(487\) | 2.98549 | − | 32.9809i | 0.135285 | − | 1.49451i | −0.590753 | − | 0.806853i | \(-0.701169\pi\) |
0.726038 | − | 0.687654i | \(-0.241360\pi\) | |||||||
\(488\) | −5.59298 | + | 0.608274i | −0.253183 | + | 0.0275353i | ||||
\(489\) | −5.04531 | − | 4.44481i | −0.228157 | − | 0.201001i | ||||
\(490\) | 25.6159 | + | 7.61293i | 1.15721 | + | 0.343917i | ||||
\(491\) | −0.754998 | − | 0.826428i | −0.0340726 | − | 0.0372962i | 0.721021 | − | 0.692913i | \(-0.243673\pi\) |
−0.755094 | + | 0.655617i | \(0.772409\pi\) | |||||||
\(492\) | 9.05149 | − | 20.5292i | 0.408073 | − | 0.925527i | ||||
\(493\) | −1.82437 | − | 4.13774i | −0.0821653 | − | 0.186355i | ||||
\(494\) | −2.72175 | + | 2.97925i | −0.122457 | + | 0.134043i | ||||
\(495\) | −9.03980 | + | 5.43907i | −0.406309 | + | 0.244468i | ||||
\(496\) | 0.951814 | − | 0.282875i | 0.0427377 | − | 0.0127015i | ||||
\(497\) | −47.5687 | − | 19.9556i | −2.13375 | − | 0.895132i | ||||
\(498\) | 5.90890 | + | 7.48845i | 0.264784 | + | 0.335565i | ||||
\(499\) | 6.97918 | − | 2.92785i | 0.312431 | − | 0.131068i | −0.225043 | − | 0.974349i | \(-0.572252\pi\) |
0.537474 | + | 0.843280i | \(0.319379\pi\) | |||||||
\(500\) | −13.8632 | − | 2.53059i | −0.619983 | − | 0.113171i | ||||
\(501\) | −8.20791 | + | 64.5971i | −0.366703 | + | 2.88599i | ||||
\(502\) | −0.807953 | − | 1.28954i | −0.0360607 | − | 0.0575549i | ||||
\(503\) | −1.67085 | − | 2.28235i | −0.0744994 | − | 0.101765i | 0.768034 | − | 0.640410i | \(-0.221235\pi\) |
−0.842533 | + | 0.538645i | \(0.818937\pi\) | |||||||
\(504\) | −37.1678 | − | 32.7440i | −1.65559 | − | 1.45853i | ||||
\(505\) | −14.7241 | + | 23.5004i | −0.655212 | + | 1.04576i | ||||
\(506\) | 2.86760 | − | 2.34797i | 0.127480 | − | 0.104380i | ||||
\(507\) | −10.9642 | + | 4.59959i | −0.486935 | + | 0.204275i | ||||
\(508\) | −19.2791 | − | 10.6714i | −0.855370 | − | 0.473467i | ||||
\(509\) | 1.04136 | − | 1.80369i | 0.0461575 | − | 0.0799471i | −0.842024 | − | 0.539441i | \(-0.818636\pi\) |
0.888181 | + | 0.459494i | \(0.151969\pi\) | |||||||
\(510\) | −0.0835508 | + | 4.62703i | −0.00369969 | + | 0.204889i | ||||
\(511\) | 27.7355 | − | 40.9068i | 1.22695 | − | 1.80961i | ||||
\(512\) | −1.81084 | − | 3.41561i | −0.0800287 | − | 0.150950i | ||||
\(513\) | −1.50981 | + | 1.53732i | −0.0666597 | + | 0.0678742i | ||||
\(514\) | 10.5631 | − | 1.92818i | 0.465918 | − | 0.0850482i | ||||
\(515\) | 3.95025 | + | 12.4632i | 0.174069 | + | 0.549194i | ||||
\(516\) | −15.9009 | + | 29.9923i | −0.700000 | + | 1.32034i | ||||
\(517\) | 1.47010 | + | 2.77290i | 0.0646549 | + | 0.121952i | ||||
\(518\) | 8.60095 | − | 0.310718i | 0.377904 | − | 0.0136522i | ||||
\(519\) | −2.58584 | + | 6.48997i | −0.113506 | + | 0.284878i | ||||
\(520\) | −13.7142 | + | 6.34487i | −0.601408 | + | 0.278241i | ||||
\(521\) | −17.5362 | + | 15.4490i | −0.768275 | + | 0.676833i | −0.951984 | − | 0.306148i | \(-0.900960\pi\) |
0.183709 | + | 0.982981i | \(0.441190\pi\) | |||||||
\(522\) | −9.10576 | + | 9.96726i | −0.398548 | + | 0.436255i | ||||
\(523\) | 32.7908 | − | 16.6333i | 1.43384 | − | 0.727321i | 0.447850 | − | 0.894109i | \(-0.352190\pi\) |
0.985993 | + | 0.166787i | \(0.0533393\pi\) | |||||||
\(524\) | 6.42602 | − | 3.25962i | 0.280722 | − | 0.142397i | ||||
\(525\) | −14.4989 | + | 15.8706i | −0.632782 | + | 0.692650i | ||||
\(526\) | −5.82258 | + | 5.12956i | −0.253876 | + | 0.223659i | ||||
\(527\) | 2.87072 | − | 1.32814i | 0.125051 | − | 0.0578545i | ||||
\(528\) | −0.534636 | + | 1.34184i | −0.0232671 | + | 0.0583959i | ||||
\(529\) | 16.9660 | − | 0.612914i | 0.737653 | − | 0.0266484i | ||||
\(530\) | −4.85947 | − | 9.16592i | −0.211082 | − | 0.398142i | ||||
\(531\) | −16.1230 | + | 30.4112i | −0.699678 | + | 1.31973i | ||||
\(532\) | 2.56096 | + | 8.07991i | 0.111032 | + | 0.350309i | ||||
\(533\) | −21.5208 | + | 3.92839i | −0.932169 | + | 0.170157i | ||||
\(534\) | 28.1433 | − | 28.6561i | 1.21788 | − | 1.24007i | ||||
\(535\) | −1.32969 | − | 2.50806i | −0.0574874 | − | 0.108433i | ||||
\(536\) | 23.6690 | − | 34.9092i | 1.02235 | − | 1.50785i | ||||
\(537\) | 0.544128 | − | 30.1338i | 0.0234809 | − | 1.30037i | ||||
\(538\) | 0.370949 | − | 0.642503i | 0.0159928 | − | 0.0277003i | ||||
\(539\) | 23.2461 | + | 12.8673i | 1.00128 | + | 0.554232i | ||||
\(540\) | −2.72840 | + | 1.14460i | −0.117412 | + | 0.0492555i | ||||
\(541\) | −18.8196 | + | 15.4093i | −0.809116 | + | 0.662498i | −0.944579 | − | 0.328285i | \(-0.893529\pi\) |
0.135463 | + | 0.990782i | \(0.456748\pi\) | |||||||
\(542\) | 3.28656 | − | 5.24553i | 0.141170 | − | 0.225315i | ||||
\(543\) | −8.56432 | − | 7.54497i | −0.367530 | − | 0.323785i | ||||
\(544\) | −3.53577 | − | 4.82980i | −0.151595 | − | 0.207076i | ||||
\(545\) | −16.0219 | − | 25.5719i | −0.686305 | − | 1.09538i | ||||
\(546\) | −4.11731 | + | 32.4036i | −0.176205 | + | 1.38675i | ||||
\(547\) | 6.07075 | + | 1.10815i | 0.259566 | + | 0.0473810i | 0.307786 | − | 0.951456i | \(-0.400412\pi\) |
−0.0482191 | + | 0.998837i | \(0.515355\pi\) | |||||||
\(548\) | 4.22005 | − | 1.77036i | 0.180272 | − | 0.0756260i | ||||
\(549\) | 4.27331 | + | 5.41563i | 0.182380 | + | 0.231134i | ||||
\(550\) | 2.43078 | + | 1.01974i | 0.103649 | + | 0.0434820i | ||||
\(551\) | 6.03880 | − | 1.79471i | 0.257262 | − | 0.0764570i | ||||
\(552\) | 15.5992 | − | 9.38573i | 0.663946 | − | 0.399483i | ||||
\(553\) | −9.80479 | + | 10.7324i | −0.416942 | + | 0.456389i | ||||
\(554\) | −3.04726 | − | 6.91131i | −0.129466 | − | 0.293633i | ||||
\(555\) | 3.63256 | − | 8.23881i | 0.154194 | − | 0.349718i | ||||
\(556\) | 13.0136 | + | 14.2448i | 0.551898 | + | 0.604113i | ||||
\(557\) | −2.16909 | − | 0.644644i | −0.0919073 | − | 0.0273145i | 0.238600 | − | 0.971118i | \(-0.423312\pi\) |
−0.330507 | + | 0.943804i | \(0.607220\pi\) | |||||||
\(558\) | −7.08567 | − | 6.24231i | −0.299960 | − | 0.264258i | ||||
\(559\) | 32.9059 | − | 3.57873i | 1.39177 | − | 0.151364i | ||||
\(560\) | 0.268239 | − | 2.96325i | 0.0113352 | − | 0.125220i | ||||
\(561\) | −1.07009 | + | 4.47504i | −0.0451792 | + | 0.188936i | ||||
\(562\) | 7.27543 | 0.306896 | ||||||||
\(563\) | 3.34856 | − | 14.0034i | 0.141125 | − | 0.590175i | −0.856171 | − | 0.516692i | \(-0.827163\pi\) |
0.997296 | − | 0.0734828i | \(-0.0234114\pi\) | |||||||
\(564\) | 1.90149 | + | 5.32379i | 0.0800673 | + | 0.224172i | ||||
\(565\) | −28.1960 | − | 9.50035i | −1.18622 | − | 0.399683i | ||||
\(566\) | 9.39774 | + | 14.9993i | 0.395016 | + | 0.630469i | ||||
\(567\) | 5.47471 | − | 33.3943i | 0.229916 | − | 1.40243i | ||||
\(568\) | −6.13061 | + | 30.4612i | −0.257235 | + | 1.27812i | ||||
\(569\) | 12.5826 | + | 25.9566i | 0.527491 | + | 1.08816i | 0.980476 | + | 0.196639i | \(0.0630026\pi\) |
−0.452985 | + | 0.891518i | \(0.649641\pi\) | |||||||
\(570\) | −6.37998 | − | 0.927993i | −0.267228 | − | 0.0388694i | ||||
\(571\) | 0.181582 | − | 0.0840086i | 0.00759895 | − | 0.00351565i | −0.416086 | − | 0.909325i | \(-0.636598\pi\) |
0.423685 | + | 0.905810i | \(0.360736\pi\) | |||||||
\(572\) | −5.38046 | + | 1.18433i | −0.224968 | + | 0.0495193i | ||||
\(573\) | −48.4241 | + | 45.8697i | −2.02294 | + | 1.91623i | ||||
\(574\) | 11.2371 | − | 31.4616i | 0.469028 | − | 1.31318i | ||||
\(575\) | −2.14188 | − | 3.70984i | −0.0893224 | − | 0.154711i | ||||
\(576\) | −10.1532 | + | 17.5858i | −0.423048 | + | 0.732741i | ||||
\(577\) | −11.0834 | − | 13.0484i | −0.461408 | − | 0.543212i | 0.481420 | − | 0.876490i | \(-0.340121\pi\) |
−0.942829 | + | 0.333278i | \(0.891845\pi\) | |||||||
\(578\) | −10.1632 | − | 10.3484i | −0.422734 | − | 0.430436i | ||||
\(579\) | 6.98488 | − | 34.7058i | 0.290282 | − | 1.44232i | ||||
\(580\) | 8.59990 | + | 0.935296i | 0.357091 | + | 0.0388360i | ||||
\(581\) | −13.1769 | − | 14.4236i | −0.546672 | − | 0.598393i | ||||
\(582\) | 18.3185 | + | 6.91822i | 0.759328 | + | 0.286770i | ||||
\(583\) | −2.75951 | − | 9.93885i | −0.114287 | − | 0.411625i | ||||
\(584\) | −27.4519 | − | 11.5164i | −1.13597 | − | 0.476553i | ||||
\(585\) | 15.5214 | + | 10.1196i | 0.641731 | + | 0.418394i | ||||
\(586\) | −7.58464 | + | 21.2354i | −0.313318 | + | 0.877227i | ||||
\(587\) | 23.4979 | − | 29.7793i | 0.969862 | − | 1.22912i | −0.00353366 | − | 0.999994i | \(-0.501125\pi\) |
0.973396 | − | 0.229129i | \(-0.0735878\pi\) | |||||||
\(588\) | 38.0996 | + | 28.9626i | 1.57120 | + | 1.19440i | ||||
\(589\) | 1.33140 | + | 4.20061i | 0.0548594 | + | 0.173083i | ||||
\(590\) | −15.8685 | + | 2.30814i | −0.653296 | + | 0.0950245i | ||||
\(591\) | −8.00631 | − | 33.4818i | −0.329336 | − | 1.37726i | ||||
\(592\) | −0.155454 | − | 0.650097i | −0.00638911 | − | 0.0267188i | ||||
\(593\) | −30.1579 | + | 19.6623i | −1.23844 | + | 0.807433i | −0.987044 | − | 0.160453i | \(-0.948705\pi\) |
−0.251393 | + | 0.967885i | \(0.580889\pi\) | |||||||
\(594\) | 2.10403 | − | 0.384068i | 0.0863294 | − | 0.0157585i | ||||
\(595\) | −0.513130 | − | 9.46412i | −0.0210363 | − | 0.387991i | ||||
\(596\) | −2.03990 | + | 7.34706i | −0.0835576 | + | 0.300947i | ||||
\(597\) | 43.4689 | − | 41.1759i | 1.77906 | − | 1.68522i | ||||
\(598\) | −5.90764 | − | 2.73316i | −0.241581 | − | 0.111767i | ||||
\(599\) | 19.0767 | − | 5.66953i | 0.779454 | − | 0.231651i | 0.129455 | − | 0.991585i | \(-0.458677\pi\) |
0.649999 | + | 0.759935i | \(0.274769\pi\) | |||||||
\(600\) | 11.0948 | + | 6.67552i | 0.452943 | + | 0.272527i | ||||
\(601\) | 44.2471 | + | 11.4289i | 1.80488 | + | 0.466194i | 0.993049 | − | 0.117703i | \(-0.0375529\pi\) |
0.811828 | + | 0.583896i | \(0.198472\pi\) | |||||||
\(602\) | −20.3928 | + | 46.2518i | −0.831150 | + | 1.88508i | ||||
\(603\) | −51.6834 | − | 1.86711i | −2.10471 | − | 0.0760347i | ||||
\(604\) | −7.41692 | − | 15.3003i | −0.301790 | − | 0.622561i | ||||
\(605\) | 12.2267 | + | 8.61617i | 0.497086 | + | 0.350297i | ||||
\(606\) | 28.7459 | − | 21.8521i | 1.16772 | − | 0.887680i | ||||
\(607\) | −0.000436056 | 0.0241488i | −1.76990e−5 | 0.000980168i | −0.999846 | − | 0.0175641i | \(-0.994409\pi\) | ||
0.999828 | + | 0.0185442i | \(0.00590315\pi\) | |||||||
\(608\) | 7.29576 | − | 4.03837i | 0.295882 | − | 0.163778i | ||||
\(609\) | 31.5884 | − | 40.0326i | 1.28003 | − | 1.62220i | ||||
\(610\) | −0.859786 | + | 3.09667i | −0.0348117 | + | 0.125380i | ||||
\(611\) | 3.25605 | − | 4.44770i | 0.131726 | − | 0.179935i | ||||
\(612\) | −1.66331 | + | 4.17460i | −0.0672355 | + | 0.168748i | ||||
\(613\) | −3.75383 | − | 41.4688i | −0.151616 | − | 1.67491i | −0.614828 | − | 0.788661i | \(-0.710774\pi\) |
0.463212 | − | 0.886247i | \(-0.346697\pi\) | |||||||
\(614\) | 7.65108 | + | 5.39173i | 0.308772 | + | 0.217592i | ||||
\(615\) | −24.4901 | − | 24.9363i | −0.987537 | − | 1.00553i | ||||
\(616\) | 6.93220 | − | 21.8713i | 0.279306 | − | 0.881222i | ||||
\(617\) | −2.76899 | + | 21.7922i | −0.111475 | + | 0.877321i | 0.834031 | + | 0.551717i | \(0.186027\pi\) |
−0.945506 | + | 0.325604i | \(0.894432\pi\) | |||||||
\(618\) | 0.921628 | − | 16.9984i | 0.0370733 | − | 0.683777i | ||||
\(619\) | 24.2526 | − | 28.5524i | 0.974795 | − | 1.14762i | −0.0142348 | − | 0.999899i | \(-0.504531\pi\) |
0.989029 | − | 0.147718i | \(-0.0471929\pi\) | |||||||
\(620\) | −0.545503 | + | 6.02621i | −0.0219079 | + | 0.242019i | ||||
\(621\) | −3.09974 | − | 1.57235i | −0.124388 | − | 0.0630963i | ||||
\(622\) | 4.18422 | + | 11.7150i | 0.167772 | + | 0.469727i | ||||
\(623\) | −53.2542 | + | 62.6957i | −2.13358 | + | 2.51185i | ||||
\(624\) | 2.53023 | − | 0.183053i | 0.101290 | − | 0.00732799i | ||||
\(625\) | −7.02205 | + | 11.2076i | −0.280882 | + | 0.448304i | ||||
\(626\) | 10.4303 | + | 8.54027i | 0.416880 | + | 0.341338i | ||||
\(627\) | −5.99668 | − | 2.26472i | −0.239484 | − | 0.0904441i | ||||
\(628\) | −18.7090 | − | 4.83247i | −0.746570 | − | 0.192836i | ||||
\(629\) | −0.788121 | − | 1.97804i | −0.0314245 | − | 0.0788694i | ||||
\(630\) | −25.2352 | + | 12.8006i | −1.00539 | + | 0.509989i | ||||
\(631\) | 5.54227 | + | 5.24992i | 0.220634 | + | 0.208996i | 0.790031 | − | 0.613067i | \(-0.210064\pi\) |
−0.569397 | + | 0.822063i | \(0.692823\pi\) | |||||||
\(632\) | 7.50281 | + | 4.51429i | 0.298446 | + | 0.179569i | ||||
\(633\) | 7.83994 | + | 28.2369i | 0.311609 | + | 1.12232i | ||||
\(634\) | −3.43354 | + | 1.15690i | −0.136363 | + | 0.0459462i | ||||
\(635\) | −26.5598 | + | 21.7470i | −1.05399 | + | 0.863002i | ||||
\(636\) | −2.34193 | − | 18.4312i | −0.0928636 | − | 0.730846i | ||||
\(637\) | 2.52636 | − | 46.5960i | 0.100098 | − | 1.84620i | ||||
\(638\) | −5.92592 | − | 1.99668i | −0.234609 | − | 0.0790491i | ||||
\(639\) | 35.6434 | − | 13.4611i | 1.41003 | − | 0.532515i | ||||
\(640\) | 10.2550 | − | 1.11530i | 0.405364 | − | 0.0440860i | ||||
\(641\) | 35.2359 | − | 2.54919i | 1.39173 | − | 0.100687i | 0.644173 | − | 0.764880i | \(-0.277202\pi\) |
0.747561 | + | 0.664193i | \(0.231225\pi\) | |||||||
\(642\) | 0.465905 | + | 3.66672i | 0.0183878 | + | 0.144714i | ||||
\(643\) | 21.7246 | + | 3.96558i | 0.856733 | + | 0.156387i | 0.590020 | − | 0.807389i | \(-0.299120\pi\) |
0.266713 | + | 0.963776i | \(0.414062\pi\) | |||||||
\(644\) | −11.1762 | + | 7.87586i | −0.440402 | + | 0.310352i | ||||
\(645\) | 34.2355 | + | 40.3052i | 1.34802 | + | 1.58702i | ||||
\(646\) | −1.21372 | + | 0.922647i | −0.0477532 | + | 0.0363010i | ||||
\(647\) | 1.50850 | + | 7.49529i | 0.0593052 | + | 0.294670i | 0.998860 | − | 0.0477272i | \(-0.0151978\pi\) |
−0.939555 | + | 0.342398i | \(0.888761\pi\) | |||||||
\(648\) | −20.3702 | + | 0.735892i | −0.800215 | + | 0.0289085i | ||||
\(649\) | −15.9018 | − | 1.15044i | −0.624201 | − | 0.0451586i | ||||
\(650\) | −0.250644 | − | 4.62286i | −0.00983107 | − | 0.181323i | ||||
\(651\) | 28.3960 | + | 21.5861i | 1.11293 | + | 0.846024i | ||||
\(652\) | 1.32683 | − | 2.73710i | 0.0519626 | − | 0.107193i | ||||
\(653\) | −0.207142 | + | 0.305512i | −0.00810610 | + | 0.0119556i | −0.831720 | − | 0.555195i | \(-0.812644\pi\) |
0.823614 | + | 0.567150i | \(0.191954\pi\) | |||||||
\(654\) | 7.75237 | + | 38.5193i | 0.303142 | + | 1.50622i | ||||
\(655\) | −1.01195 | − | 11.1791i | −0.0395401 | − | 0.436803i | ||||
\(656\) | −2.56761 | − | 0.373469i | −0.100248 | − | 0.0145815i | ||||
\(657\) | 5.90564 | + | 36.0228i | 0.230401 | + | 1.40538i | ||||
\(658\) | 3.39603 | + | 7.70235i | 0.132391 | + | 0.300269i | ||||
\(659\) | −8.38714 | − | 21.0501i | −0.326717 | − | 0.819997i | −0.996964 | − | 0.0778595i | \(-0.975191\pi\) |
0.670248 | − | 0.742137i | \(-0.266188\pi\) | |||||||
\(660\) | −6.39019 | − | 6.05311i | −0.248738 | − | 0.235617i | ||||
\(661\) | 0.348782 | − | 0.209855i | 0.0135661 | − | 0.00816243i | −0.508755 | − | 0.860912i | \(-0.669894\pi\) |
0.522321 | + | 0.852749i | \(0.325066\pi\) | |||||||
\(662\) | 19.5718 | + | 4.30809i | 0.760681 | + | 0.167439i | ||||
\(663\) | 7.89218 | − | 1.73720i | 0.306507 | − | 0.0674673i | ||||
\(664\) | −6.95122 | + | 9.49524i | −0.269760 | + | 0.368487i | ||||
\(665\) | 13.1697 | + | 0.952780i | 0.510699 | + | 0.0369472i | ||||
\(666\) | −4.45417 | + | 4.53533i | −0.172596 | + | 0.175740i | ||||
\(667\) | 5.70282 | + | 8.41104i | 0.220814 | + | 0.325677i | ||||
\(668\) | −29.1503 | + | 4.24003i | −1.12786 | + | 0.164052i | ||||
\(669\) | −18.0202 | + | 11.7487i | −0.696700 | + | 0.454233i | ||||
\(670\) | −13.5208 | − | 19.9417i | −0.522355 | − | 0.770416i | ||||
\(671\) | −1.49673 | + | 2.82313i | −0.0577806 | + | 0.108986i | ||||
\(672\) | 29.4436 | − | 60.7391i | 1.13581 | − | 2.34306i | ||||
\(673\) | 31.2616 | − | 17.3040i | 1.20505 | − | 0.667021i | 0.251381 | − | 0.967888i | \(-0.419115\pi\) |
0.953666 | + | 0.300868i | \(0.0972763\pi\) | |||||||
\(674\) | 1.89227 | + | 3.27751i | 0.0728875 | + | 0.126245i | ||||
\(675\) | −0.0446313 | − | 2.47168i | −0.00171786 | − | 0.0951348i | ||||
\(676\) | −3.33181 | − | 4.22246i | −0.128146 | − | 0.162402i | ||||
\(677\) | 6.74994 | − | 2.27432i | 0.259421 | − | 0.0874092i | −0.186586 | − | 0.982439i | \(-0.559742\pi\) |
0.446007 | + | 0.895029i | \(0.352846\pi\) | |||||||
\(678\) | 29.9747 | + | 24.5431i | 1.15117 | + | 0.942572i | ||||
\(679\) | −38.4422 | − | 11.4249i | −1.47528 | − | 0.438446i | ||||
\(680\) | −5.52764 | + | 1.42777i | −0.211975 | + | 0.0547525i | ||||
\(681\) | 6.69550 | − | 40.8408i | 0.256572 | − | 1.56502i | ||||
\(682\) | 1.32155 | − | 4.16955i | 0.0506049 | − | 0.159660i | ||||
\(683\) | −4.00920 | + | 2.82529i | −0.153408 | + | 0.108107i | −0.650201 | − | 0.759762i | \(-0.725315\pi\) |
0.496793 | + | 0.867869i | \(0.334511\pi\) | |||||||
\(684\) | −5.47730 | − | 3.03181i | −0.209430 | − | 0.115924i | ||||
\(685\) | −0.128710 | − | 7.12794i | −0.00491775 | − | 0.272345i | ||||
\(686\) | 33.8114 | + | 22.0442i | 1.29092 | + | 0.841653i | ||||
\(687\) | 2.36089 | + | 1.09226i | 0.0900734 | + | 0.0416724i | ||||
\(688\) | 3.83400 | + | 0.843928i | 0.146170 | + | 0.0321744i | ||||
\(689\) | −13.5933 | + | 11.9754i | −0.517864 | + | 0.456226i | ||||
\(690\) | −1.68247 | − | 10.2626i | −0.0640506 | − | 0.390691i | ||||
\(691\) | −44.9613 | − | 1.62427i | −1.71041 | − | 0.0617901i | −0.836525 | − | 0.547929i | \(-0.815416\pi\) |
−0.873882 | + | 0.486139i | \(0.838405\pi\) | |||||||
\(692\) | −3.14183 | − | 0.341695i | −0.119434 | − | 0.0129893i | ||||
\(693\) | −27.2396 | + | 7.03588i | −1.03475 | + | 0.267271i | ||||
\(694\) | −10.0351 | − | 13.7077i | −0.380926 | − | 0.520338i | ||||
\(695\) | 28.1184 | − | 10.6193i | 1.06659 | − | 0.402811i | ||||
\(696\) | −27.3936 | − | 13.8955i | −1.03835 | − | 0.526707i | ||||
\(697\) | −8.26517 | −0.313066 | ||||||||
\(698\) | 6.36123 | + | 15.9178i | 0.240776 | + | 0.602498i | ||||
\(699\) | −73.1933 | −2.76842 | ||||||||
\(700\) | −8.67247 | − | 4.39914i | −0.327788 | − | 0.166272i | ||||
\(701\) | −40.4409 | + | 15.2730i | −1.52743 | + | 0.576854i | −0.967763 | − | 0.251862i | \(-0.918957\pi\) |
−0.559670 | + | 0.828716i | \(0.689072\pi\) | |||||||
\(702\) | −2.21890 | − | 3.03098i | −0.0837470 | − | 0.114397i | ||||
\(703\) | 2.87208 | − | 0.741848i | 0.108323 | − | 0.0279793i | ||||
\(704\) | −9.35054 | − | 1.01693i | −0.352412 | − | 0.0383271i | ||||
\(705\) | 8.80086 | + | 0.317939i | 0.331459 | + | 0.0119743i | ||||
\(706\) | 1.03734 | + | 6.32747i | 0.0390407 | + | 0.238137i | ||||
\(707\) | −55.4907 | + | 48.8861i | −2.08694 | + | 1.83855i | ||||
\(708\) | −28.0464 | − | 6.17347i | −1.05405 | − | 0.232013i | ||||
\(709\) | 1.72963 | + | 0.800212i | 0.0649576 | + | 0.0300526i | 0.452099 | − | 0.891968i | \(-0.350675\pi\) |
−0.387141 | + | 0.922020i | \(0.626537\pi\) | |||||||
\(710\) | 14.8687 | + | 9.69407i | 0.558013 | + | 0.363812i | ||||
\(711\) | −0.193845 | − | 10.7351i | −0.00726976 | − | 0.402598i | ||||
\(712\) | 43.3511 | + | 23.9958i | 1.62465 | + | 0.899282i | ||||
\(713\) | −5.81030 | + | 4.09453i | −0.217597 | + | 0.153341i | ||||
\(714\) | −3.72869 | + | 11.7642i | −0.139543 | + | 0.440263i | ||||
\(715\) | −1.38848 | + | 8.46935i | −0.0519262 | + | 0.316736i | ||||
\(716\) | 13.2007 | − | 3.40970i | 0.493334 | − | 0.127426i | ||||
\(717\) | −30.3913 | − | 9.03216i | −1.13498 | − | 0.337312i | ||||
\(718\) | 10.3724 | + | 8.49281i | 0.387093 | + | 0.316949i | ||||
\(719\) | 21.9279 | − | 7.38838i | 0.817774 | − | 0.275540i | 0.120837 | − | 0.992672i | \(-0.461442\pi\) |
0.696937 | + | 0.717132i | \(0.254546\pi\) | |||||||
\(720\) | 1.36130 | + | 1.72520i | 0.0507327 | + | 0.0642944i | ||||
\(721\) | 0.629459 | + | 34.8594i | 0.0234423 | + | 1.29823i | ||||
\(722\) | 7.65503 | + | 13.2589i | 0.284891 | + | 0.493445i | ||||
\(723\) | 31.0289 | − | 17.1752i | 1.15398 | − | 0.638753i | ||||
\(724\) | 2.25226 | − | 4.64618i | 0.0837046 | − | 0.172674i | ||||
\(725\) | −3.38551 | + | 6.38575i | −0.125735 | + | 0.237161i | ||||
\(726\) | −10.9295 | − | 16.1198i | −0.405632 | − | 0.598262i | ||||
\(727\) | −15.7583 | + | 10.2741i | −0.584444 | + | 0.381044i | −0.804065 | − | 0.594541i | \(-0.797334\pi\) |
0.219622 | + | 0.975585i | \(0.429518\pi\) | |||||||
\(728\) | −39.8764 | + | 5.80018i | −1.47792 | + | 0.214969i | ||||
\(729\) | 20.1302 | + | 29.6898i | 0.745563 | + | 1.09962i | ||||
\(730\) | −11.9159 | + | 12.1330i | −0.441027 | + | 0.449063i | ||||
\(731\) | 12.4730 | + | 0.902374i | 0.461329 | + | 0.0333755i | ||||
\(732\) | −3.39983 | + | 4.64411i | −0.125661 | + | 0.171651i | ||||
\(733\) | −8.30121 | + | 1.82723i | −0.306612 | + | 0.0674904i | −0.365611 | − | 0.930768i | \(-0.619140\pi\) |
0.0589993 | + | 0.998258i | \(0.481209\pi\) | |||||||
\(734\) | −21.0259 | − | 4.62814i | −0.776079 | − | 0.170828i | ||||
\(735\) | 63.8824 | − | 38.4368i | 2.35634 | − | 1.41776i | ||||
\(736\) | 9.76546 | + | 9.25034i | 0.359960 | + | 0.340972i | ||||
\(737\) | −8.86661 | − | 22.2535i | −0.326606 | − | 0.819718i | ||||
\(738\) | 9.95485 | + | 22.5780i | 0.366443 | + | 0.831108i | ||||
\(739\) | 7.71775 | + | 47.0762i | 0.283902 | + | 1.73173i | 0.615351 | + | 0.788253i | \(0.289014\pi\) |
−0.331449 | + | 0.943473i | \(0.607537\pi\) | |||||||
\(740\) | 4.03080 | + | 0.586296i | 0.148175 | + | 0.0215527i | ||||
\(741\) | 1.01495 | + | 11.2122i | 0.0372850 | + | 0.411890i | ||||
\(742\) | −5.45849 | − | 27.1216i | −0.200388 | − | 0.995667i | ||||
\(743\) | 1.56423 | − | 2.30707i | 0.0573862 | − | 0.0846383i | −0.797913 | − | 0.602772i | \(-0.794063\pi\) |
0.855300 | + | 0.518134i | \(0.173373\pi\) | |||||||
\(744\) | 9.37197 | − | 19.3334i | 0.343593 | − | 0.708796i | ||||
\(745\) | 9.45625 | + | 7.18846i | 0.346450 | + | 0.263365i | ||||
\(746\) | −1.19353 | − | 22.0134i | −0.0436984 | − | 0.805969i | ||||
\(747\) | 14.3920 | + | 1.04121i | 0.526575 | + | 0.0380958i | ||||
\(748\) | −2.08011 | + | 0.0751460i | −0.0760564 | + | 0.00274761i | ||||
\(749\) | −1.49360 | − | 7.42125i | −0.0545749 | − | 0.271167i | ||||
\(750\) | 22.7558 | − | 17.2985i | 0.830924 | − | 0.631652i | ||||
\(751\) | 22.4558 | + | 26.4370i | 0.819422 | + | 0.964698i | 0.999821 | − | 0.0188950i | \(-0.00601482\pi\) |
−0.180399 | + | 0.983593i | \(0.557739\pi\) | |||||||
\(752\) | 0.534401 | − | 0.376593i | 0.0194876 | − | 0.0137329i | ||||
\(753\) | −4.17645 | − | 0.762366i | −0.152198 | − | 0.0277822i | ||||
\(754\) | 1.38436 | + | 10.8950i | 0.0504153 | + | 0.396773i | ||||
\(755\) | −26.4189 | + | 1.91131i | −0.961480 | + | 0.0695596i | ||||
\(756\) | −7.84388 | + | 0.853073i | −0.285279 | + | 0.0310260i | ||||
\(757\) | −25.0979 | + | 9.47852i | −0.912197 | + | 0.344502i | −0.764570 | − | 0.644541i | \(-0.777049\pi\) |
−0.147627 | + | 0.989043i | \(0.547164\pi\) | |||||||
\(758\) | 4.07004 | + | 1.37136i | 0.147831 | + | 0.0498099i | ||||
\(759\) | 0.559790 | − | 10.3247i | 0.0203191 | − | 0.374763i | ||||
\(760\) | −1.00253 | − | 7.89002i | −0.0363656 | − | 0.286201i | ||||
\(761\) | −16.5777 | + | 13.5737i | −0.600942 | + | 0.492046i | −0.884270 | − | 0.466977i | \(-0.845343\pi\) |
0.283328 | + | 0.959023i | \(0.408562\pi\) | |||||||
\(762\) | 42.3562 | − | 14.2715i | 1.53440 | − | 0.517001i | ||||
\(763\) | −21.5285 | − | 77.5387i | −0.779385 | − | 2.80709i | ||||
\(764\) | −25.8544 | − | 15.5561i | −0.935378 | − | 0.562798i | ||||
\(765\) | 5.08230 | + | 4.81421i | 0.183751 | + | 0.174058i | ||||
\(766\) | 2.89313 | − | 1.46755i | 0.104533 | − | 0.0530247i | ||||
\(767\) | 10.3644 | + | 26.0127i | 0.374236 | + | 0.939263i | ||||
\(768\) | −41.3341 | − | 10.6765i | −1.49152 | − | 0.385253i | ||||
\(769\) | 27.8657 | + | 10.5238i | 1.00486 | + | 0.379499i | 0.800459 | − | 0.599387i | \(-0.204589\pi\) |
0.204405 | + | 0.978886i | \(0.434474\pi\) | |||||||
\(770\) | −10.1408 | − | 8.30322i | −0.365450 | − | 0.299227i | ||||
\(771\) | 15.9051 | − | 25.3855i | 0.572809 | − | 0.914236i | ||||
\(772\) | 15.9731 | − | 1.15559i | 0.574884 | − | 0.0415907i | ||||
\(773\) | 19.0750 | − | 22.4568i | 0.686079 | − | 0.807714i | −0.303328 | − | 0.952886i | \(-0.598098\pi\) |
0.989406 | + | 0.145172i | \(0.0463736\pi\) | |||||||
\(774\) | −12.5578 | − | 35.1593i | −0.451382 | − | 1.26378i | ||||
\(775\) | −4.50867 | − | 2.28704i | −0.161956 | − | 0.0821528i | ||||
\(776\) | −2.17778 | + | 24.0581i | −0.0781779 | + | 0.863637i | ||||
\(777\) | 15.5445 | − | 18.3004i | 0.557657 | − | 0.656524i | ||||
\(778\) | −0.654395 | + | 12.0696i | −0.0234612 | + | 0.432716i | ||||
\(779\) | 1.45139 | − | 11.4226i | 0.0520016 | − | 0.409258i | ||||
\(780\) | −4.67077 | + | 14.7364i | −0.167240 | + | 0.527649i | ||||
\(781\) | 12.3657 | + | 12.5910i | 0.442480 | + | 0.450542i | ||||
\(782\) | −2.01027 | − | 1.41664i | −0.0718870 | − | 0.0506589i | ||||
\(783\) | 0.528690 | + | 5.84048i | 0.0188938 | + | 0.208722i | ||||
\(784\) | 2.04856 | − | 5.14151i | 0.0731630 | − | 0.183625i | ||||
\(785\) | −17.7811 | + | 24.2887i | −0.634636 | + | 0.866901i | ||||
\(786\) | −3.91001 | + | 14.0826i | −0.139466 | + | 0.502309i | ||||
\(787\) | 0.418346 | − | 0.530177i | 0.0149124 | − | 0.0188988i | −0.777524 | − | 0.628853i | \(-0.783525\pi\) |
0.792437 | + | 0.609954i | \(0.208812\pi\) | |||||||
\(788\) | 13.6253 | − | 7.54190i | 0.485381 | − | 0.268669i | ||||
\(789\) | −0.390852 | + | 21.6454i | −0.0139147 | + | 0.770595i | ||||
\(790\) | 3.98201 | − | 3.02705i | 0.141674 | − | 0.107698i | ||||
\(791\) | −64.8574 | − | 45.7051i | −2.30606 | − | 1.62509i | ||||
\(792\) | 7.39201 | + | 15.2489i | 0.262664 | + | 0.541847i | ||||
\(793\) | 5.60835 | + | 0.202607i | 0.199158 | + | 0.00719478i | ||||
\(794\) | 11.7514 | − | 26.6527i | 0.417042 | − | 0.945869i | ||||
\(795\) | −28.0236 | − | 7.23839i | −0.993893 | − | 0.256719i | ||||
\(796\) | 23.2087 | + | 13.9642i | 0.822612 | + | 0.494949i | ||||
\(797\) | 7.63165 | − | 2.26809i | 0.270327 | − | 0.0803400i | −0.146871 | − | 0.989156i | \(-0.546920\pi\) |
0.417198 | + | 0.908816i | \(0.363012\pi\) | |||||||
\(798\) | −15.6035 | − | 7.21895i | −0.552358 | − | 0.255548i | ||||
\(799\) | 1.51193 | − | 1.43218i | 0.0534882 | − | 0.0506668i | ||||
\(800\) | −2.55944 | + | 9.21829i | −0.0904900 | + | 0.325916i | ||||
\(801\) | −3.28933 | − | 60.6682i | −0.116223 | − | 2.14361i | ||||
\(802\) | −1.41217 | + | 0.257777i | −0.0498655 | + | 0.00910241i | ||||
\(803\) | −14.1637 | + | 9.23443i | −0.499827 | + | 0.325876i | ||||
\(804\) | −10.0349 | − | 41.9652i | −0.353904 | − | 1.48000i | ||||
\(805\) | 4.95348 | + | 20.7151i | 0.174587 | + | 0.730112i | ||||
\(806\) | −7.60203 | + | 1.10575i | −0.267770 | + | 0.0389482i | ||||
\(807\) | −0.625371 | − | 1.97307i | −0.0220141 | − | 0.0694552i | ||||
\(808\) | 35.4623 | + | 26.9577i | 1.24756 | + | 0.948370i | ||||
\(809\) | 3.97300 | − | 5.03505i | 0.139683 | − | 0.177023i | −0.710190 | − | 0.704010i | \(-0.751391\pi\) |
0.849873 | + | 0.526987i | \(0.176678\pi\) | |||||||
\(810\) | −3.91655 | + | 10.9655i | −0.137613 | + | 0.385289i | ||||
\(811\) | −21.6997 | − | 14.1477i | −0.761980 | − | 0.496794i | 0.105406 | − | 0.994429i | \(-0.466386\pi\) |
−0.867386 | + | 0.497635i | \(0.834202\pi\) | |||||||
\(812\) | 21.2725 | + | 8.92408i | 0.746520 | + | 0.313174i | ||||
\(813\) | −4.62009 | − | 16.6400i | −0.162033 | − | 0.583592i | ||||
\(814\) | −2.75451 | − | 1.04028i | −0.0965456 | − | 0.0364616i | ||||
\(815\) | −3.19600 | − | 3.49838i | −0.111951 | − | 0.122543i | ||||
\(816\) | 0.952834 | + | 0.103627i | 0.0333559 | + | 0.00362767i | ||||
\(817\) | −3.43740 | + | 17.0794i | −0.120259 | + | 0.597533i | ||||
\(818\) | −8.26049 | − | 8.41100i | −0.288821 | − | 0.294084i | ||||
\(819\) | 31.9881 | + | 37.6592i | 1.11775 | + | 1.31592i | ||||
\(820\) | 7.90552 | − | 13.6928i | 0.276073 | − | 0.478172i | ||||
\(821\) | 2.19434 | + | 3.80071i | 0.0765831 | + | 0.132646i | 0.901774 | − | 0.432209i | \(-0.142266\pi\) |
−0.825191 | + | 0.564854i | \(0.808932\pi\) | |||||||
\(822\) | −3.12225 | + | 8.74165i | −0.108901 | + | 0.304900i | ||||
\(823\) | 9.42081 | − | 8.92386i | 0.328389 | − | 0.311066i | −0.505686 | − | 0.862717i | \(-0.668761\pi\) |
0.834075 | + | 0.551651i | \(0.186002\pi\) | |||||||
\(824\) | 20.5099 | − | 4.51456i | 0.714495 | − | 0.157272i | ||||
\(825\) | 6.67444 | − | 3.08793i | 0.232374 | − | 0.107508i | ||||
\(826\) | −42.3166 | − | 6.15511i | −1.47238 | − | 0.214164i | ||||
\(827\) | −6.16128 | − | 12.7101i | −0.214249 | − | 0.441972i | 0.765165 | − | 0.643834i | \(-0.222657\pi\) |
−0.979414 | + | 0.201862i | \(0.935301\pi\) | |||||||
\(828\) | 1.99246 | − | 9.89993i | 0.0692426 | − | 0.344046i | ||||
\(829\) | 1.39968 | − | 8.53766i | 0.0486128 | − | 0.296525i | −0.951319 | − | 0.308208i | \(-0.900271\pi\) |
0.999932 | + | 0.0116831i | \(0.00371894\pi\) | |||||||
\(830\) | 3.56911 | + | 5.69651i | 0.123886 | + | 0.197729i | ||||
\(831\) | −19.9696 | − | 6.72853i | −0.692737 | − | 0.233410i | ||||
\(832\) | 5.55639 | + | 15.5567i | 0.192633 | + | 0.539332i | ||||
\(833\) | 4.10026 | − | 17.1470i | 0.142066 | − | 0.594108i | ||||
\(834\) | −39.1357 | −1.35516 | ||||||||
\(835\) | −10.6722 | + | 44.6303i | −0.369327 | + | 1.54450i | ||||
\(836\) | 0.261422 | − | 2.88795i | 0.00904146 | − | 0.0998817i | ||||
\(837\) | −4.07790 | + | 0.443499i | −0.140953 | + | 0.0153296i | ||||
\(838\) | −23.1782 | − | 20.4194i | −0.800676 | − | 0.705378i | ||||
\(839\) | 13.8106 | + | 4.10444i | 0.476793 | + | 0.141701i | 0.514327 | − | 0.857594i | \(-0.328042\pi\) |
−0.0375331 | + | 0.999295i | \(0.511950\pi\) | |||||||
\(840\) | −43.4228 | − | 47.5311i | −1.49823 | − | 1.63998i | ||||
\(841\) | −4.78241 | + | 10.8467i | −0.164911 | + | 0.374024i | ||||
\(842\) | 11.4794 | + | 26.0358i | 0.395607 | + | 0.897253i | ||||
\(843\) | 13.6903 | − | 14.9855i | 0.471518 | − | 0.516128i | ||||
\(844\) | −11.3592 | + | 6.83463i | −0.391001 | + | 0.235258i | ||||
\(845\) | −8.03177 | + | 2.38701i | −0.276301 | + | 0.0821156i | ||||
\(846\) | −5.73330 | − | 2.40519i | −0.197115 | − | 0.0826920i | ||||
\(847\) | 24.7082 | + | 31.3132i | 0.848985 | + | 1.07593i | ||||
\(848\) | −1.98134 | + | 0.831195i | −0.0680395 | + | 0.0285434i | ||||
\(849\) | 48.5786 | + | 8.86749i | 1.66721 | + | 0.304332i | ||||
\(850\) | 0.220478 | − | 1.73519i | 0.00756235 | − | 0.0595164i | ||||
\(851\) | 2.54049 | + | 4.05477i | 0.0870870 | + | 0.138996i | ||||
\(852\) | 18.7772 | + | 25.6493i | 0.643295 | + | 0.878729i | ||||
\(853\) | 32.6381 | + | 28.7534i | 1.11751 | + | 0.984498i | 0.999963 | − | 0.00856957i | \(-0.00272781\pi\) |
0.117544 | + | 0.993068i | \(0.462498\pi\) | |||||||
\(854\) | −4.55030 | + | 7.26253i | −0.155708 | + | 0.248519i | ||||
\(855\) | −7.54579 | + | 6.17844i | −0.258061 | + | 0.211298i | ||||
\(856\) | −4.20479 | + | 1.76396i | −0.143717 | + | 0.0602908i | ||||
\(857\) | 38.1657 | + | 21.1256i | 1.30371 | + | 0.721635i | 0.974875 | − | 0.222751i | \(-0.0715037\pi\) |
0.328839 | + | 0.944386i | \(0.393343\pi\) | |||||||
\(858\) | 5.58739 | − | 9.67765i | 0.190750 | − | 0.330389i | ||||
\(859\) | −0.467693 | + | 25.9008i | −0.0159575 | + | 0.883723i | 0.888923 | + | 0.458057i | \(0.151454\pi\) |
−0.904880 | + | 0.425666i | \(0.860040\pi\) | |||||||
\(860\) | −13.4252 | + | 19.8006i | −0.457794 | + | 0.675196i | ||||
\(861\) | −43.6578 | − | 82.3473i | −1.48785 | − | 2.80639i | ||||
\(862\) | 7.45148 | − | 7.58725i | 0.253798 | − | 0.258423i | ||||
\(863\) | 16.1617 | − | 2.95014i | 0.550151 | − | 0.100424i | 0.102666 | − | 0.994716i | \(-0.467263\pi\) |
0.447484 | + | 0.894292i | \(0.352320\pi\) | |||||||
\(864\) | 2.34534 | + | 7.39963i | 0.0797901 | + | 0.251740i | ||||
\(865\) | −2.30609 | + | 4.34975i | −0.0784095 | + | 0.147896i | ||||
\(866\) | −7.26522 | − | 13.7037i | −0.246882 | − | 0.465669i | ||||
\(867\) | −40.4393 | + | 1.46091i | −1.37339 | + | 0.0496150i | ||||
\(868\) | −5.97248 | + | 14.9898i | −0.202719 | + | 0.508787i | ||||
\(869\) | 4.51356 | − | 2.08820i | 0.153112 | − | 0.0708372i | ||||
\(870\) | −13.1661 | + | 11.5990i | −0.446372 | + | 0.393243i | ||||
\(871\) | −28.3767 | + | 31.0615i | −0.961509 | + | 1.05248i | ||||
\(872\) | −43.2285 | + | 21.9278i | −1.46390 | + | 0.742569i | ||||
\(873\) | 26.4165 | − | 13.3999i | 0.894064 | − | 0.453517i | ||||
\(874\) | 2.31083 | − | 2.52946i | 0.0781650 | − | 0.0855602i | ||||
\(875\) | −43.9275 | + | 38.6991i | −1.48502 | + | 1.30827i | ||||
\(876\) | −27.6407 | + | 12.7880i | −0.933893 | + | 0.432065i | ||||
\(877\) | 0.296171 | − | 0.743332i | 0.0100010 | − | 0.0251006i | −0.923891 | − | 0.382655i | \(-0.875010\pi\) |
0.933892 | + | 0.357554i | \(0.116389\pi\) | |||||||
\(878\) | 10.6780 | − | 0.385754i | 0.360366 | − | 0.0130186i | ||||
\(879\) | 29.4674 | + | 55.5813i | 0.993909 | + | 1.87471i | ||||
\(880\) | −0.476797 | + | 0.899334i | −0.0160728 | + | 0.0303165i | ||||
\(881\) | −9.76663 | − | 30.8141i | −0.329046 | − | 1.03815i | −0.964068 | − | 0.265657i | \(-0.914411\pi\) |
0.635021 | − | 0.772495i | \(-0.280991\pi\) | |||||||
\(882\) | −51.7790 | + | 9.45169i | −1.74349 | + | 0.318255i | ||||
\(883\) | −31.4625 | + | 32.0358i | −1.05880 | + | 1.07809i | −0.0620043 | + | 0.998076i | \(0.519749\pi\) |
−0.996794 | + | 0.0800136i | \(0.974504\pi\) | |||||||
\(884\) | 1.71236 | + | 3.22985i | 0.0575928 | + | 0.108631i | ||||
\(885\) | −25.1058 | + | 37.0283i | −0.843922 | + | 1.24469i | ||||
\(886\) | 0.227886 | − | 12.6203i | 0.00765598 | − | 0.423987i | ||||
\(887\) | 22.5936 | − | 39.1333i | 0.758619 | − | 1.31397i | −0.184936 | − | 0.982751i | \(-0.559208\pi\) |
0.943555 | − | 0.331216i | \(-0.107459\pi\) | |||||||
\(888\) | −12.6539 | − | 7.00422i | −0.424637 | − | 0.235046i | ||||
\(889\) | −84.4132 | + | 35.4123i | −2.83113 | + | 1.18769i | ||||
\(890\) | 21.9001 | − | 17.9317i | 0.734094 | − | 0.601071i | ||||
\(891\) | −6.14673 | + | 9.81052i | −0.205923 | + | 0.328665i | ||||
\(892\) | −7.30196 | − | 6.43286i | −0.244488 | − | 0.215388i | ||||
\(893\) | 1.71379 | + | 2.34101i | 0.0573499 | + | 0.0783389i | ||||
\(894\) | −8.21165 | − | 13.1063i | −0.274639 | − | 0.438339i | ||||
\(895\) | 2.67719 | − | 21.0698i | 0.0894887 | − | 0.704285i | ||||
\(896\) | 27.0611 | + | 4.93971i | 0.904048 | + | 0.165024i | ||||
\(897\) | −16.7461 | + | 7.02518i | −0.559135 | + | 0.234564i | ||||
\(898\) | −21.8590 | − | 27.7023i | −0.729446 | − | 0.924439i | ||||
\(899\) | 11.0592 | + | 4.63948i | 0.368846 | + | 0.154735i | ||||
\(900\) | 6.88481 | − | 2.04614i | 0.229494 | − | 0.0682045i | ||||
\(901\) | −5.86470 | + | 3.52867i | −0.195382 | + | 0.117557i | ||||
\(902\) | −7.70884 | + | 8.43818i | −0.256676 | + | 0.280961i | ||||
\(903\) | 56.8934 | + | 129.037i | 1.89329 | + | 4.29407i | ||||
\(904\) | −19.2811 | + | 43.7305i | −0.641281 | + | 1.45445i | ||||
\(905\) | −5.42515 | − | 5.93843i | −0.180338 | − | 0.197400i | ||||
\(906\) | 33.0596 | + | 9.82518i | 1.09833 | + | 0.326420i | ||||
\(907\) | −7.14215 | − | 6.29207i | −0.237151 | − | 0.208925i | 0.534159 | − | 0.845384i | \(-0.320628\pi\) |
−0.771310 | + | 0.636459i | \(0.780398\pi\) | |||||||
\(908\) | 18.6122 | − | 2.02420i | 0.617668 | − | 0.0671754i | ||||
\(909\) | 4.92431 | − | 54.3992i | 0.163329 | − | 1.80431i | ||||
\(910\) | −5.35346 | + | 22.3878i | −0.177465 | + | 0.742148i | ||||
\(911\) | −25.6238 | −0.848954 | −0.424477 | − | 0.905439i | \(-0.639542\pi\) | ||||
−0.424477 | + | 0.905439i | \(0.639542\pi\) | |||||||
\(912\) | −0.310535 | + | 1.29864i | −0.0102829 | + | 0.0430022i | ||||
\(913\) | 2.24810 | + | 6.29421i | 0.0744013 | + | 0.208308i | ||||
\(914\) | −21.3532 | − | 7.19473i | −0.706301 | − | 0.237981i | ||||
\(915\) | 4.76047 | + | 7.59797i | 0.157376 | + | 0.251181i | ||||
\(916\) | −0.190380 | + | 1.16126i | −0.00629032 | + | 0.0383693i | ||||
\(917\) | 5.90591 | − | 29.3448i | 0.195030 | − | 0.969049i | ||||
\(918\) | −0.619066 | − | 1.27707i | −0.0204322 | − | 0.0421495i | ||||
\(919\) | −47.4169 | − | 6.89698i | −1.56414 | − | 0.227510i | −0.693875 | − | 0.720096i | \(-0.744098\pi\) |
−0.870264 | + | 0.492585i | \(0.836052\pi\) | |||||||
\(920\) | 11.6437 | − | 5.38695i | 0.383881 | − | 0.177602i | ||||
\(921\) | 25.5027 | − | 5.61357i | 0.840342 | − | 0.184973i | ||||
\(922\) | −14.3072 | + | 13.5525i | −0.471182 | + | 0.446328i | ||||
\(923\) | 10.4254 | − | 29.1889i | 0.343156 | − | 0.960766i | ||||
\(924\) | −11.7361 | − | 20.3275i | −0.386090 | − | 0.668727i | ||||
\(925\) | −1.70161 | + | 2.94728i | −0.0559486 | + | 0.0969058i | ||||
\(926\) | 5.63394 | + | 6.63279i | 0.185143 | + | 0.217967i | ||||
\(927\) | −18.0438 | − | 18.3725i | −0.592635 | − | 0.603433i | ||||
\(928\) | 4.47784 | − | 22.2491i | 0.146992 | − | 0.730362i | ||||
\(929\) | −21.1600 | − | 2.30129i | −0.694238 | − | 0.0755030i | −0.245805 | − | 0.969319i | \(-0.579052\pi\) |
−0.448433 | + | 0.893816i | \(0.648018\pi\) | |||||||
\(930\) | −8.27812 | − | 9.06131i | −0.271450 | − | 0.297132i | ||||
\(931\) | 22.9774 | + | 8.67771i | 0.753055 | + | 0.284400i | ||||
\(932\) | −8.85807 | − | 31.9039i | −0.290156 | − | 1.04505i | ||||
\(933\) | 32.0033 | + | 13.4258i | 1.04774 | + | 0.439540i | ||||
\(934\) | −26.7388 | − | 17.4331i | −0.874921 | − | 0.570429i | ||||
\(935\) | −1.09066 | + | 3.05361i | −0.0356683 | + | 0.0998637i | ||||
\(936\) | 18.4364 | − | 23.3647i | 0.602612 | − | 0.763700i | ||||
\(937\) | −19.3930 | − | 14.7422i | −0.633543 | − | 0.481607i | 0.238431 | − | 0.971160i | \(-0.423367\pi\) |
−0.871974 | + | 0.489553i | \(0.837160\pi\) | |||||||
\(938\) | −19.4124 | − | 61.2467i | −0.633837 | − | 1.99978i | ||||
\(939\) | 37.2176 | − | 5.41345i | 1.21455 | − | 0.176661i | ||||
\(940\) | 0.926521 | + | 3.87464i | 0.0302198 | + | 0.126377i | ||||
\(941\) | 10.8667 | + | 45.4436i | 0.354243 | + | 1.48142i | 0.807408 | + | 0.589993i | \(0.200870\pi\) |
−0.453165 | + | 0.891427i | \(0.649705\pi\) | |||||||
\(942\) | 32.8323 | − | 21.4059i | 1.06974 | − | 0.697443i | ||||
\(943\) | 18.2717 | − | 3.33530i | 0.595008 | − | 0.108612i | ||||
\(944\) | 0.179800 | + | 3.31621i | 0.00585198 | + | 0.107933i | ||||
\(945\) | −3.28829 | + | 11.8433i | −0.106968 | + | 0.385264i | ||||
\(946\) | 12.5547 | − | 11.8924i | 0.408188 | − | 0.386656i | ||||
\(947\) | 16.3442 | + | 7.56164i | 0.531115 | + | 0.245720i | 0.667070 | − | 0.744995i | \(-0.267548\pi\) |
−0.135955 | + | 0.990715i | \(0.543410\pi\) | |||||||
\(948\) | 8.58673 | − | 2.55194i | 0.278884 | − | 0.0828832i | ||||
\(949\) | 25.4451 | + | 15.3098i | 0.825983 | + | 0.496978i | ||||
\(950\) | 2.35934 | + | 0.609410i | 0.0765472 | + | 0.0197719i | ||||
\(951\) | −4.07803 | + | 9.24916i | −0.132239 | + | 0.299924i | ||||
\(952\) | −15.2144 | − | 0.549635i | −0.493102 | − | 0.0178138i | ||||
\(953\) | −17.2243 | − | 35.5318i | −0.557949 | − | 1.15099i | −0.970733 | − | 0.240161i | \(-0.922800\pi\) |
0.412784 | − | 0.910829i | \(-0.364556\pi\) | |||||||
\(954\) | 16.7029 | + | 11.7706i | 0.540778 | + | 0.381087i | ||||
\(955\) | −37.4201 | + | 28.4460i | −1.21089 | + | 0.920492i | ||||
\(956\) | 0.258943 | − | 14.3402i | 0.00837480 | − | 0.463796i | ||||
\(957\) | −15.2635 | + | 8.44870i | −0.493399 | + | 0.273108i | ||||
\(958\) | 7.11058 | − | 9.01136i | 0.229732 | − | 0.291144i | ||||
\(959\) | 5.08603 | − | 18.3182i | 0.164237 | − | 0.591527i | ||||
\(960\) | −15.5900 | + | 21.2956i | −0.503164 | + | 0.687313i | ||||
\(961\) | 8.36929 | − | 21.0053i | 0.269977 | − | 0.677591i | ||||
\(962\) | 0.466206 | + | 5.15021i | 0.0150311 | + | 0.166049i | ||||
\(963\) | 4.57040 | + | 3.22077i | 0.147279 | + | 0.103788i | ||||
\(964\) | 11.2416 | + | 11.4465i | 0.362069 | + | 0.368666i | ||||
\(965\) | 7.53784 | − | 23.7821i | 0.242652 | − | 0.765574i | ||||
\(966\) | 3.49570 | − | 27.5115i | 0.112472 | − | 0.885167i | ||||
\(967\) | 2.46034 | − | 45.3782i | 0.0791191 | − | 1.45927i | −0.642133 | − | 0.766593i | \(-0.721950\pi\) |
0.721252 | − | 0.692672i | \(-0.243567\pi\) | |||||||
\(968\) | 15.5542 | − | 18.3118i | 0.499930 | − | 0.588563i | ||||
\(969\) | −0.383460 | + | 4.23611i | −0.0123185 | + | 0.136083i | ||||
\(970\) | 12.3066 | + | 6.24255i | 0.395140 | + | 0.200436i | ||||
\(971\) | −18.3208 | − | 51.2945i | −0.587943 | − | 1.64612i | −0.751614 | − | 0.659603i | \(-0.770724\pi\) |
0.163671 | − | 0.986515i | \(-0.447666\pi\) | |||||||
\(972\) | −16.6853 | + | 19.6434i | −0.535181 | + | 0.630064i | ||||
\(973\) | 79.9436 | − | 5.78363i | 2.56287 | − | 0.185415i | ||||
\(974\) | −16.1333 | + | 25.7497i | −0.516945 | + | 0.825073i | ||||
\(975\) | −9.99354 | − | 8.18263i | −0.320049 | − | 0.262054i | ||||
\(976\) | 0.622680 | + | 0.235163i | 0.0199315 | + | 0.00752737i | ||||
\(977\) | 5.68298 | + | 1.46789i | 0.181815 | + | 0.0469621i | 0.339891 | − | 0.940465i | \(-0.389610\pi\) |
−0.158077 | + | 0.987427i | \(0.550529\pi\) | |||||||
\(978\) | 2.28366 | + | 5.73156i | 0.0730235 | + | 0.183275i | ||||
\(979\) | 25.0979 | − | 12.7310i | 0.802132 | − | 0.406884i | ||||
\(980\) | 24.4853 | + | 23.1937i | 0.782153 | + | 0.740895i | ||||
\(981\) | 50.9285 | + | 30.6427i | 1.62602 | + | 0.978346i | ||||
\(982\) | 0.274783 | + | 0.989680i | 0.00876868 | + | 0.0315819i | ||||
\(983\) | −27.8941 | + | 9.39863i | −0.889685 | + | 0.299770i | −0.726779 | − | 0.686872i | \(-0.758983\pi\) |
−0.162906 | + | 0.986642i | \(0.552087\pi\) | |||||||
\(984\) | −43.4380 | + | 35.5667i | −1.38475 | + | 1.13383i | ||||
\(985\) | −3.05801 | − | 24.0669i | −0.0974363 | − | 0.766834i | ||||
\(986\) | −0.224642 | + | 4.14329i | −0.00715407 | + | 0.131949i | ||||
\(987\) | 22.2552 | + | 7.49866i | 0.708391 | + | 0.238685i | ||||
\(988\) | −4.76440 | + | 1.79933i | −0.151576 | + | 0.0572445i | ||||
\(989\) | −27.9379 | + | 3.03843i | −0.888374 | + | 0.0966165i | ||||
\(990\) | 9.65519 | − | 0.698517i | 0.306862 | − | 0.0222003i | ||||
\(991\) | −6.42537 | − | 50.5683i | −0.204109 | − | 1.60636i | −0.684306 | − | 0.729195i | \(-0.739895\pi\) |
0.480198 | − | 0.877160i | \(-0.340565\pi\) | |||||||
\(992\) | 15.6166 | + | 2.85064i | 0.495827 | + | 0.0905079i | ||||
\(993\) | 45.7021 | − | 32.2063i | 1.45031 | − | 1.02204i | ||||
\(994\) | 30.6429 | + | 36.0757i | 0.971935 | + | 1.14425i | ||||
\(995\) | 33.5910 | − | 25.5352i | 1.06491 | − | 0.809520i | ||||
\(996\) | 2.37530 | + | 11.8022i | 0.0752642 | + | 0.373966i | ||||
\(997\) | 29.4043 | − | 1.06226i | 0.931245 | − | 0.0336421i | 0.433678 | − | 0.901068i | \(-0.357215\pi\) |
0.497567 | + | 0.867426i | \(0.334227\pi\) | |||||||
\(998\) | −6.92654 | − | 0.501110i | −0.219256 | − | 0.0158624i | ||||
\(999\) | 0.149493 | + | 2.75724i | 0.00472975 | + | 0.0872351i |
(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 | 349.2.i.a.9.10 | ✓ | 1568 | |
349.194 | even | 87 | inner | 349.2.i.a.194.10 | yes | 1568 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
349.2.i.a.9.10 | ✓ | 1568 | 1.1 | even | 1 | trivial | |
349.2.i.a.194.10 | yes | 1568 | 349.194 | even | 87 | inner |