Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [71,2,Mod(2,71)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(71, base_ring=CyclotomicField(70))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("71.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 71 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 71.g (of order \(35\), degree \(24\), 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: | \(0.566937854351\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{35})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{35}]$ |
Embedding invariants
Embedding label | 10.2 | ||
Character | \(\chi\) | \(=\) | 71.10 |
Dual form | 71.2.g.a.64.2 |
$q$-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 \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).
\(n\) | \(7\) |
\(\chi(n)\) | \(e\left(\frac{17}{35}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.713225 | + | 0.196838i | −0.504326 | + | 0.139185i | −0.508936 | − | 0.860804i | \(-0.669961\pi\) |
0.00461011 | + | 0.999989i | \(0.498533\pi\) | |||||||
\(3\) | −0.487143 | + | 1.13973i | −0.281252 | + | 0.658022i | −0.999278 | − | 0.0379947i | \(-0.987903\pi\) |
0.718026 | + | 0.696016i | \(0.245046\pi\) | |||||||
\(4\) | −1.24695 | + | 0.745020i | −0.623476 | + | 0.372510i | ||||
\(5\) | −0.623421 | + | 1.91869i | −0.278803 | + | 0.858066i | 0.709386 | + | 0.704821i | \(0.248973\pi\) |
−0.988188 | + | 0.153245i | \(0.951027\pi\) | |||||||
\(6\) | 0.123101 | − | 0.908769i | 0.0502559 | − | 0.371004i | ||||
\(7\) | 0.0146541 | + | 0.326298i | 0.00553872 | + | 0.123329i | 0.999857 | + | 0.0168853i | \(0.00537501\pi\) |
−0.994319 | + | 0.106444i | \(0.966054\pi\) | |||||||
\(8\) | 1.76533 | − | 1.84639i | 0.624138 | − | 0.652797i | ||||
\(9\) | 1.01152 | + | 1.05797i | 0.337173 | + | 0.352655i | ||||
\(10\) | 0.0669687 | − | 1.49117i | 0.0211773 | − | 0.471550i | ||||
\(11\) | −1.35338 | − | 0.245602i | −0.408059 | − | 0.0740517i | −0.0293534 | − | 0.999569i | \(-0.509345\pi\) |
−0.378705 | + | 0.925517i | \(0.623631\pi\) | |||||||
\(12\) | −0.241675 | − | 1.78412i | −0.0697656 | − | 0.515030i | ||||
\(13\) | 3.64635 | − | 0.661714i | 1.01131 | − | 0.183527i | 0.352484 | − | 0.935818i | \(-0.385337\pi\) |
0.658831 | + | 0.752291i | \(0.271051\pi\) | |||||||
\(14\) | −0.0746794 | − | 0.229840i | −0.0199589 | − | 0.0614272i | ||||
\(15\) | −1.88309 | − | 1.64521i | −0.486212 | − | 0.424791i | ||||
\(16\) | 0.481013 | − | 0.893871i | 0.120253 | − | 0.223468i | ||||
\(17\) | −3.50350 | + | 2.54544i | −0.849723 | + | 0.617360i | −0.925070 | − | 0.379797i | \(-0.875994\pi\) |
0.0753465 | + | 0.997157i | \(0.475994\pi\) | |||||||
\(18\) | −0.929688 | − | 0.555463i | −0.219130 | − | 0.130924i | ||||
\(19\) | 5.46579 | − | 4.77532i | 1.25394 | − | 1.09553i | 0.262503 | − | 0.964931i | \(-0.415452\pi\) |
0.991435 | − | 0.130601i | \(-0.0416908\pi\) | |||||||
\(20\) | −0.652088 | − | 2.85698i | −0.145811 | − | 0.638841i | ||||
\(21\) | −0.379029 | − | 0.142252i | −0.0827110 | − | 0.0310420i | ||||
\(22\) | 1.01361 | − | 0.0912262i | 0.216102 | − | 0.0194495i | ||||
\(23\) | 0.550786 | + | 0.690664i | 0.114847 | + | 0.144013i | 0.835932 | − | 0.548833i | \(-0.184928\pi\) |
−0.721085 | + | 0.692847i | \(0.756356\pi\) | |||||||
\(24\) | 1.24441 | + | 2.91145i | 0.254015 | + | 0.594297i | ||||
\(25\) | 0.752353 | + | 0.546616i | 0.150471 | + | 0.109323i | ||||
\(26\) | −2.47042 | + | 1.18969i | −0.484488 | + | 0.233317i | ||||
\(27\) | −5.17985 | + | 1.94403i | −0.996863 | + | 0.374129i | ||||
\(28\) | −0.261371 | − | 0.395961i | −0.0493946 | − | 0.0748296i | ||||
\(29\) | 0.505362 | + | 0.0454834i | 0.0938433 | + | 0.00844605i | 0.136461 | − | 0.990645i | \(-0.456427\pi\) |
−0.0426181 | + | 0.999091i | \(0.513570\pi\) | |||||||
\(30\) | 1.66691 | + | 0.802740i | 0.304334 | + | 0.146560i | ||||
\(31\) | 0.738057 | + | 1.37154i | 0.132559 | + | 0.246336i | 0.938219 | − | 0.346043i | \(-0.112475\pi\) |
−0.805660 | + | 0.592378i | \(0.798189\pi\) | |||||||
\(32\) | −1.30399 | + | 5.71314i | −0.230515 | + | 1.00995i | ||||
\(33\) | 0.939207 | − | 1.42284i | 0.163495 | − | 0.247684i | ||||
\(34\) | 1.99774 | − | 2.50509i | 0.342610 | − | 0.429620i | ||||
\(35\) | −0.635202 | − | 0.175305i | −0.107369 | − | 0.0296319i | ||||
\(36\) | −2.04952 | − | 0.565632i | −0.341587 | − | 0.0942720i | ||||
\(37\) | −3.02816 | + | 3.79719i | −0.497826 | + | 0.624255i | −0.965737 | − | 0.259521i | \(-0.916435\pi\) |
0.467911 | + | 0.883776i | \(0.345007\pi\) | |||||||
\(38\) | −2.95837 | + | 4.48175i | −0.479912 | + | 0.727035i | ||||
\(39\) | −1.02212 | + | 4.47819i | −0.163670 | + | 0.717084i | ||||
\(40\) | 2.44211 | + | 4.53820i | 0.386132 | + | 0.717553i | ||||
\(41\) | 9.08603 | + | 4.37560i | 1.41900 | + | 0.683354i | 0.976917 | − | 0.213621i | \(-0.0685257\pi\) |
0.442082 | + | 0.896975i | \(0.354240\pi\) | |||||||
\(42\) | 0.298334 | + | 0.0268505i | 0.0460339 | + | 0.00414313i | ||||
\(43\) | −4.02244 | − | 6.09374i | −0.613417 | − | 0.929287i | −0.999975 | − | 0.00702182i | \(-0.997765\pi\) |
0.386559 | − | 0.922265i | \(-0.373664\pi\) | |||||||
\(44\) | 1.87058 | − | 0.702039i | 0.282000 | − | 0.105836i | ||||
\(45\) | −2.66051 | + | 1.28124i | −0.396606 | + | 0.190995i | ||||
\(46\) | −0.528783 | − | 0.384183i | −0.0779648 | − | 0.0566447i | ||||
\(47\) | −3.12104 | − | 7.30203i | −0.455250 | − | 1.06511i | −0.977236 | − | 0.212156i | \(-0.931951\pi\) |
0.521986 | − | 0.852954i | \(-0.325191\pi\) | |||||||
\(48\) | 0.784447 | + | 0.983666i | 0.113225 | + | 0.141980i | ||||
\(49\) | 6.86556 | − | 0.617912i | 0.980795 | − | 0.0882731i | ||||
\(50\) | −0.644191 | − | 0.241769i | −0.0911024 | − | 0.0341913i | ||||
\(51\) | −1.19440 | − | 5.23302i | −0.167250 | − | 0.732770i | ||||
\(52\) | −4.05383 | + | 3.54173i | −0.562165 | + | 0.491149i | ||||
\(53\) | −5.92634 | − | 3.54082i | −0.814046 | − | 0.486370i | 0.0445598 | − | 0.999007i | \(-0.485811\pi\) |
−0.858605 | + | 0.512637i | \(0.828669\pi\) | |||||||
\(54\) | 3.31174 | − | 2.40612i | 0.450671 | − | 0.327431i | ||||
\(55\) | 1.31496 | − | 2.44360i | 0.177309 | − | 0.329495i | ||||
\(56\) | 0.628343 | + | 0.548966i | 0.0839658 | + | 0.0733587i | ||||
\(57\) | 2.77994 | + | 8.55576i | 0.368212 | + | 1.13324i | ||||
\(58\) | −0.369389 | + | 0.0670343i | −0.0485032 | + | 0.00880203i | ||||
\(59\) | −1.20842 | − | 8.92089i | −0.157322 | − | 1.16140i | −0.881636 | − | 0.471930i | \(-0.843558\pi\) |
0.724314 | − | 0.689471i | \(-0.242157\pi\) | |||||||
\(60\) | 3.57384 | + | 0.648556i | 0.461381 | + | 0.0837282i | ||||
\(61\) | 0.513091 | − | 11.4249i | 0.0656946 | − | 1.46280i | −0.647622 | − | 0.761962i | \(-0.724236\pi\) |
0.713316 | − | 0.700842i | \(-0.247192\pi\) | |||||||
\(62\) | −0.796371 | − | 0.832939i | −0.101139 | − | 0.105783i | ||||
\(63\) | −0.330389 | + | 0.345560i | −0.0416252 | + | 0.0435365i | ||||
\(64\) | −0.103442 | − | 2.30332i | −0.0129303 | − | 0.287915i | ||||
\(65\) | −1.00358 | + | 7.40875i | −0.124479 | + | 0.918942i | ||||
\(66\) | −0.389798 | + | 1.19967i | −0.0479808 | + | 0.147670i | ||||
\(67\) | −5.32861 | + | 3.18370i | −0.650993 | + | 0.388950i | −0.800096 | − | 0.599871i | \(-0.795218\pi\) |
0.149103 | + | 0.988822i | \(0.452361\pi\) | |||||||
\(68\) | 2.47229 | − | 5.78422i | 0.299810 | − | 0.701440i | ||||
\(69\) | −1.05548 | + | 0.291294i | −0.127065 | + | 0.0350677i | ||||
\(70\) | 0.487548 | 0.0582732 | ||||||||
\(71\) | 5.80097 | − | 6.11136i | 0.688449 | − | 0.725285i | ||||
\(72\) | 3.73908 | 0.440655 | ||||||||
\(73\) | 11.7349 | − | 3.23862i | 1.37346 | − | 0.379052i | 0.500036 | − | 0.866005i | \(-0.333320\pi\) |
0.873429 | + | 0.486952i | \(0.161891\pi\) | |||||||
\(74\) | 1.41233 | − | 3.30431i | 0.164180 | − | 0.384118i | ||||
\(75\) | −0.989496 | + | 0.591197i | −0.114257 | + | 0.0682655i | ||||
\(76\) | −3.25788 | + | 10.0267i | −0.373704 | + | 1.15014i | ||||
\(77\) | 0.0603069 | − | 0.445204i | 0.00687261 | − | 0.0507357i | ||||
\(78\) | −0.152476 | − | 3.39515i | −0.0172645 | − | 0.384425i | ||||
\(79\) | −6.41959 | + | 6.71436i | −0.722260 | + | 0.755425i | −0.977381 | − | 0.211484i | \(-0.932170\pi\) |
0.255121 | + | 0.966909i | \(0.417885\pi\) | |||||||
\(80\) | 1.41519 | + | 1.48017i | 0.158223 | + | 0.165489i | ||||
\(81\) | 0.110654 | − | 2.46391i | 0.0122949 | − | 0.273768i | ||||
\(82\) | −7.34166 | − | 1.33232i | −0.810751 | − | 0.147130i | ||||
\(83\) | 0.581031 | + | 4.28934i | 0.0637765 | + | 0.470817i | 0.994470 | + | 0.105018i | \(0.0334899\pi\) |
−0.930694 | + | 0.365799i | \(0.880796\pi\) | |||||||
\(84\) | 0.578612 | − | 0.105003i | 0.0631318 | − | 0.0114567i | ||||
\(85\) | −2.69977 | − | 8.30902i | −0.292831 | − | 0.901240i | ||||
\(86\) | 4.06838 | + | 3.55444i | 0.438705 | + | 0.383285i | ||||
\(87\) | −0.298022 | + | 0.553817i | −0.0319513 | + | 0.0593755i | ||||
\(88\) | −2.84263 | + | 2.06529i | −0.303026 | + | 0.220161i | ||||
\(89\) | −8.69518 | − | 5.19513i | −0.921688 | − | 0.550683i | −0.0281167 | − | 0.999605i | \(-0.508951\pi\) |
−0.893571 | + | 0.448922i | \(0.851808\pi\) | |||||||
\(90\) | 1.64535 | − | 1.43750i | 0.173435 | − | 0.151526i | ||||
\(91\) | 0.269350 | + | 1.18010i | 0.0282356 | + | 0.123708i | ||||
\(92\) | −1.20136 | − | 0.450879i | −0.125251 | − | 0.0470074i | ||||
\(93\) | −1.92272 | + | 0.173048i | −0.199377 | + | 0.0179442i | ||||
\(94\) | 3.66331 | + | 4.59365i | 0.377842 | + | 0.473799i | ||||
\(95\) | 5.75488 | + | 13.4642i | 0.590438 | + | 1.38140i | ||||
\(96\) | −5.87620 | − | 4.26931i | −0.599737 | − | 0.435734i | ||||
\(97\) | −2.76730 | + | 1.33266i | −0.280976 | + | 0.135311i | −0.569065 | − | 0.822293i | \(-0.692695\pi\) |
0.288088 | + | 0.957604i | \(0.406980\pi\) | |||||||
\(98\) | −4.77506 | + | 1.79211i | −0.482354 | + | 0.181031i | ||||
\(99\) | −1.10913 | − | 1.68026i | −0.111472 | − | 0.168872i | ||||
\(100\) | −1.34539 | − | 0.121087i | −0.134539 | − | 0.0121087i | ||||
\(101\) | 2.09118 | + | 1.00706i | 0.208080 | + | 0.100206i | 0.535021 | − | 0.844838i | \(-0.320304\pi\) |
−0.326941 | + | 0.945045i | \(0.606018\pi\) | |||||||
\(102\) | 1.88193 | + | 3.49722i | 0.186339 | + | 0.346276i | ||||
\(103\) | −3.02144 | + | 13.2378i | −0.297711 | + | 1.30436i | 0.575815 | + | 0.817580i | \(0.304685\pi\) |
−0.873526 | + | 0.486778i | \(0.838172\pi\) | |||||||
\(104\) | 5.21522 | − | 7.90072i | 0.511394 | − | 0.774729i | ||||
\(105\) | 0.509233 | − | 0.638558i | 0.0496961 | − | 0.0623169i | ||||
\(106\) | 4.92378 | + | 1.35888i | 0.478240 | + | 0.131986i | ||||
\(107\) | 6.19017 | + | 1.70838i | 0.598426 | + | 0.165155i | 0.552109 | − | 0.833772i | \(-0.313823\pi\) |
0.0463168 | + | 0.998927i | \(0.485252\pi\) | |||||||
\(108\) | 5.01069 | − | 6.28320i | 0.482154 | − | 0.604602i | ||||
\(109\) | −4.89491 | + | 7.41547i | −0.468848 | + | 0.710274i | −0.989666 | − | 0.143394i | \(-0.954198\pi\) |
0.520818 | + | 0.853668i | \(0.325627\pi\) | |||||||
\(110\) | −0.456869 | + | 2.00167i | −0.0435607 | + | 0.190852i | ||||
\(111\) | −2.85262 | − | 5.30105i | −0.270758 | − | 0.503153i | ||||
\(112\) | 0.298717 | + | 0.143855i | 0.0282261 | + | 0.0135930i | ||||
\(113\) | 18.5115 | + | 1.66607i | 1.74142 | + | 0.156731i | 0.914231 | − | 0.405193i | \(-0.132796\pi\) |
0.827189 | + | 0.561924i | \(0.189939\pi\) | |||||||
\(114\) | −3.66682 | − | 5.55499i | −0.343429 | − | 0.520272i | ||||
\(115\) | −1.66854 | + | 0.626215i | −0.155593 | + | 0.0583949i | ||||
\(116\) | −0.664048 | + | 0.319789i | −0.0616553 | + | 0.0296916i | ||||
\(117\) | 4.38842 | + | 3.18837i | 0.405710 | + | 0.294765i | ||||
\(118\) | 2.61784 | + | 6.12474i | 0.240992 | + | 0.563828i | ||||
\(119\) | −0.881913 | − | 1.10588i | −0.0808448 | − | 0.101376i | ||||
\(120\) | −6.36197 | + | 0.572587i | −0.580766 | + | 0.0522698i | ||||
\(121\) | −8.52727 | − | 3.20034i | −0.775207 | − | 0.290940i | ||||
\(122\) | 1.88289 | + | 8.24950i | 0.170469 | + | 0.746874i | ||||
\(123\) | −9.41318 | + | 8.22405i | −0.848758 | + | 0.741537i | ||||
\(124\) | −1.94215 | − | 1.16038i | −0.174410 | − | 0.104205i | ||||
\(125\) | −9.67852 | + | 7.03185i | −0.865673 | + | 0.628948i | ||||
\(126\) | 0.167623 | − | 0.311495i | 0.0149330 | − | 0.0277502i | ||||
\(127\) | −10.1316 | − | 8.85175i | −0.899038 | − | 0.785466i | 0.0783486 | − | 0.996926i | \(-0.475035\pi\) |
−0.977387 | + | 0.211460i | \(0.932178\pi\) | |||||||
\(128\) | −3.09456 | − | 9.52409i | −0.273523 | − | 0.841818i | ||||
\(129\) | 8.90470 | − | 1.61597i | 0.784015 | − | 0.142278i | ||||
\(130\) | −0.742540 | − | 5.48165i | −0.0651250 | − | 0.480772i | ||||
\(131\) | 12.9449 | + | 2.34915i | 1.13100 | + | 0.205246i | 0.711619 | − | 0.702565i | \(-0.247962\pi\) |
0.419379 | + | 0.907811i | \(0.362248\pi\) | |||||||
\(132\) | −0.111105 | + | 2.47394i | −0.00967042 | + | 0.215329i | ||||
\(133\) | 1.63827 | + | 1.71350i | 0.142056 | + | 0.148579i | ||||
\(134\) | 3.17383 | − | 3.31956i | 0.274177 | − | 0.286766i | ||||
\(135\) | −0.500769 | − | 11.1505i | −0.0430994 | − | 0.959682i | ||||
\(136\) | −1.48495 | + | 10.9624i | −0.127334 | + | 0.940015i | ||||
\(137\) | 1.63870 | − | 5.04341i | 0.140004 | − | 0.430888i | −0.856331 | − | 0.516428i | \(-0.827261\pi\) |
0.996335 | + | 0.0855398i | \(0.0272615\pi\) | |||||||
\(138\) | 0.695457 | − | 0.415516i | 0.0592012 | − | 0.0353711i | ||||
\(139\) | 6.78148 | − | 15.8661i | 0.575197 | − | 1.34574i | −0.339120 | − | 0.940743i | \(-0.610129\pi\) |
0.914318 | − | 0.404998i | \(-0.132728\pi\) | |||||||
\(140\) | 0.922672 | − | 0.254641i | 0.0779800 | − | 0.0215211i | ||||
\(141\) | 9.84271 | 0.828905 | ||||||||
\(142\) | −2.93445 | + | 5.50062i | −0.246254 | + | 0.461602i | ||||
\(143\) | −5.09740 | −0.426266 | ||||||||
\(144\) | 1.43224 | − | 0.395273i | 0.119353 | − | 0.0329394i | ||||
\(145\) | −0.402322 | + | 0.941279i | −0.0334110 | + | 0.0781690i | ||||
\(146\) | −7.73213 | + | 4.61973i | −0.639916 | + | 0.382332i | ||||
\(147\) | −2.64026 | + | 8.12588i | −0.217765 | + | 0.670211i | ||||
\(148\) | 0.946990 | − | 6.99096i | 0.0778421 | − | 0.574653i | ||||
\(149\) | 0.367171 | + | 8.17570i | 0.0300798 | + | 0.669779i | 0.956229 | + | 0.292621i | \(0.0945274\pi\) |
−0.926149 | + | 0.377158i | \(0.876901\pi\) | |||||||
\(150\) | 0.589364 | − | 0.616426i | 0.0481214 | − | 0.0503310i | ||||
\(151\) | 10.1153 | + | 10.5798i | 0.823172 | + | 0.860970i | 0.992202 | − | 0.124641i | \(-0.0397779\pi\) |
−0.169030 | + | 0.985611i | \(0.554064\pi\) | |||||||
\(152\) | 0.831823 | − | 18.5220i | 0.0674697 | − | 1.50233i | ||||
\(153\) | −6.23684 | − | 1.13182i | −0.504219 | − | 0.0915022i | ||||
\(154\) | 0.0446204 | + | 0.329401i | 0.00359561 | + | 0.0265439i | ||||
\(155\) | −3.09168 | + | 0.561058i | −0.248330 | + | 0.0450653i | ||||
\(156\) | −2.06181 | − | 6.34559i | −0.165077 | − | 0.508054i | ||||
\(157\) | −10.7908 | − | 9.42767i | −0.861202 | − | 0.752410i | 0.109170 | − | 0.994023i | \(-0.465181\pi\) |
−0.970373 | + | 0.241613i | \(0.922323\pi\) | |||||||
\(158\) | 3.25697 | − | 6.05247i | 0.259111 | − | 0.481508i | ||||
\(159\) | 6.92254 | − | 5.02952i | 0.548994 | − | 0.398867i | ||||
\(160\) | −10.1488 | − | 6.06365i | −0.802336 | − | 0.479374i | ||||
\(161\) | −0.217291 | + | 0.189842i | −0.0171249 | + | 0.0149616i | ||||
\(162\) | 0.406069 | + | 1.77910i | 0.0319038 | + | 0.139780i | ||||
\(163\) | 12.2960 | + | 4.61475i | 0.963094 | + | 0.361455i | 0.782880 | − | 0.622172i | \(-0.213750\pi\) |
0.180214 | + | 0.983627i | \(0.442321\pi\) | |||||||
\(164\) | −14.5898 | + | 1.31310i | −1.13927 | + | 0.102536i | ||||
\(165\) | 2.14447 | + | 2.68908i | 0.166947 | + | 0.209344i | ||||
\(166\) | −1.25871 | − | 2.94490i | −0.0976948 | − | 0.228568i | ||||
\(167\) | −3.88170 | − | 2.82022i | −0.300375 | − | 0.218235i | 0.427381 | − | 0.904072i | \(-0.359436\pi\) |
−0.727756 | + | 0.685837i | \(0.759436\pi\) | |||||||
\(168\) | −0.931764 | + | 0.448714i | −0.0718872 | + | 0.0346190i | ||||
\(169\) | 0.686926 | − | 0.257808i | 0.0528404 | − | 0.0198314i | ||||
\(170\) | 3.56107 | + | 5.39479i | 0.273121 | + | 0.413761i | ||||
\(171\) | 10.5809 | + | 0.952295i | 0.809139 | + | 0.0728238i | ||||
\(172\) | 9.55575 | + | 4.60181i | 0.728619 | + | 0.350885i | ||||
\(173\) | −10.5576 | − | 19.6193i | −0.802680 | − | 1.49163i | −0.869537 | − | 0.493867i | \(-0.835583\pi\) |
0.0668572 | − | 0.997763i | \(-0.478703\pi\) | |||||||
\(174\) | 0.103545 | − | 0.453658i | 0.00784969 | − | 0.0343917i | ||||
\(175\) | −0.167335 | + | 0.253502i | −0.0126493 | + | 0.0191629i | ||||
\(176\) | −0.870528 | + | 1.09161i | −0.0656185 | + | 0.0822830i | ||||
\(177\) | 10.7560 | + | 2.96848i | 0.808474 | + | 0.223125i | ||||
\(178\) | 7.22422 | + | 1.99376i | 0.541478 | + | 0.149438i | ||||
\(179\) | 1.47239 | − | 1.84632i | 0.110052 | − | 0.138001i | −0.723755 | − | 0.690057i | \(-0.757585\pi\) |
0.833807 | + | 0.552057i | \(0.186157\pi\) | |||||||
\(180\) | 2.36299 | − | 3.57978i | 0.176127 | − | 0.266821i | ||||
\(181\) | 0.682290 | − | 2.98931i | 0.0507142 | − | 0.222194i | −0.943220 | − | 0.332168i | \(-0.892220\pi\) |
0.993934 | + | 0.109975i | \(0.0350770\pi\) | |||||||
\(182\) | −0.424395 | − | 0.788658i | −0.0314583 | − | 0.0584592i | ||||
\(183\) | 12.7713 | + | 6.15032i | 0.944080 | + | 0.454645i | ||||
\(184\) | 2.24755 | + | 0.202283i | 0.165692 | + | 0.0149125i | ||||
\(185\) | −5.39783 | − | 8.17736i | −0.396856 | − | 0.601212i | ||||
\(186\) | 1.33727 | − | 0.501885i | 0.0980533 | − | 0.0368000i | ||||
\(187\) | 5.36672 | − | 2.58448i | 0.392453 | − | 0.188996i | ||||
\(188\) | 9.33194 | + | 6.78005i | 0.680602 | + | 0.494486i | ||||
\(189\) | −0.710239 | − | 1.66169i | −0.0516623 | − | 0.120870i | ||||
\(190\) | −6.75479 | − | 8.47023i | −0.490044 | − | 0.614495i | ||||
\(191\) | −13.6426 | + | 1.22786i | −0.987146 | + | 0.0888448i | −0.571431 | − | 0.820650i | \(-0.693612\pi\) |
−0.415715 | + | 0.909495i | \(0.636469\pi\) | |||||||
\(192\) | 2.67555 | + | 1.00415i | 0.193091 | + | 0.0724683i | ||||
\(193\) | 1.68183 | + | 7.36860i | 0.121061 | + | 0.530403i | 0.998695 | + | 0.0510717i | \(0.0162637\pi\) |
−0.877634 | + | 0.479332i | \(0.840879\pi\) | |||||||
\(194\) | 1.71139 | − | 1.49519i | 0.122870 | − | 0.107349i | ||||
\(195\) | −7.95506 | − | 4.75293i | −0.569674 | − | 0.340364i | ||||
\(196\) | −8.10068 | + | 5.88549i | −0.578620 | + | 0.420392i | ||||
\(197\) | −10.3585 | + | 19.2493i | −0.738011 | + | 1.37145i | 0.183468 | + | 0.983026i | \(0.441267\pi\) |
−0.921479 | + | 0.388428i | \(0.873018\pi\) | |||||||
\(198\) | 1.12180 | + | 0.980083i | 0.0797225 | + | 0.0696515i | ||||
\(199\) | 7.16293 | + | 22.0452i | 0.507767 | + | 1.56275i | 0.796069 | + | 0.605206i | \(0.206909\pi\) |
−0.288302 | + | 0.957540i | \(0.593091\pi\) | |||||||
\(200\) | 2.33742 | − | 0.424179i | 0.165280 | − | 0.0299940i | ||||
\(201\) | −1.03275 | − | 7.62407i | −0.0728446 | − | 0.537760i | ||||
\(202\) | −1.68971 | − | 0.306637i | −0.118888 | − | 0.0215749i | ||||
\(203\) | −0.00743554 | + | 0.165565i | −0.000521872 | + | 0.0116204i | ||||
\(204\) | 5.38807 | + | 5.63548i | 0.377240 | + | 0.394562i | ||||
\(205\) | −14.0599 | + | 14.7055i | −0.981983 | + | 1.02707i | ||||
\(206\) | −0.450729 | − | 10.0363i | −0.0314037 | − | 0.699259i | ||||
\(207\) | −0.173568 | + | 1.28133i | −0.0120638 | + | 0.0890587i | ||||
\(208\) | 1.16245 | − | 3.57766i | 0.0806015 | − | 0.248066i | ||||
\(209\) | −8.57010 | + | 5.12040i | −0.592806 | + | 0.354185i | ||||
\(210\) | −0.237506 | + | 0.555672i | −0.0163894 | + | 0.0383450i | ||||
\(211\) | −24.8592 | + | 6.86070i | −1.71138 | + | 0.472310i | −0.978189 | − | 0.207715i | \(-0.933397\pi\) |
−0.733189 | + | 0.680025i | \(0.761969\pi\) | |||||||
\(212\) | 10.0279 | 0.688716 | ||||||||
\(213\) | 4.13938 | + | 9.58863i | 0.283626 | + | 0.657002i | ||||
\(214\) | −4.75126 | −0.324789 | ||||||||
\(215\) | 14.1997 | − | 3.91887i | 0.968411 | − | 0.267265i | ||||
\(216\) | −5.55470 | + | 12.9959i | −0.377950 | + | 0.884257i | ||||
\(217\) | −0.436715 | + | 0.260925i | −0.0296462 | + | 0.0177128i | ||||
\(218\) | 2.03153 | − | 6.25240i | 0.137593 | − | 0.423466i | ||||
\(219\) | −2.02542 | + | 14.9522i | −0.136865 | + | 1.01038i | ||||
\(220\) | 0.180841 | + | 4.02673i | 0.0121923 | + | 0.271482i | ||||
\(221\) | −11.0906 | + | 11.5999i | −0.746036 | + | 0.780292i | ||||
\(222\) | 3.07800 | + | 3.21934i | 0.206582 | + | 0.216068i | ||||
\(223\) | 0.319669 | − | 7.11797i | 0.0214066 | − | 0.476655i | −0.959445 | − | 0.281897i | \(-0.909036\pi\) |
0.980851 | − | 0.194758i | \(-0.0623922\pi\) | |||||||
\(224\) | −1.88330 | − | 0.341768i | −0.125833 | − | 0.0228353i | ||||
\(225\) | 0.182718 | + | 1.34888i | 0.0121812 | + | 0.0899251i | ||||
\(226\) | −13.5308 | + | 2.45549i | −0.900058 | + | 0.163336i | ||||
\(227\) | 0.347157 | + | 1.06844i | 0.0230417 | + | 0.0709149i | 0.961916 | − | 0.273345i | \(-0.0881300\pi\) |
−0.938874 | + | 0.344260i | \(0.888130\pi\) | |||||||
\(228\) | −9.84066 | − | 8.59753i | −0.651714 | − | 0.569385i | ||||
\(229\) | 7.11283 | − | 13.2179i | 0.470029 | − | 0.873460i | −0.529652 | − | 0.848215i | \(-0.677678\pi\) |
0.999681 | − | 0.0252455i | \(-0.00803674\pi\) | |||||||
\(230\) | 1.06678 | − | 0.775064i | 0.0703417 | − | 0.0511062i | ||||
\(231\) | 0.478032 | + | 0.285611i | 0.0314522 | + | 0.0187918i | ||||
\(232\) | 0.976109 | − | 0.852801i | 0.0640847 | − | 0.0559891i | ||||
\(233\) | 3.56716 | + | 15.6288i | 0.233692 | + | 1.02387i | 0.946548 | + | 0.322563i | \(0.104544\pi\) |
−0.712856 | + | 0.701311i | \(0.752599\pi\) | |||||||
\(234\) | −3.75752 | − | 1.41022i | −0.245637 | − | 0.0921891i | ||||
\(235\) | 15.9561 | − | 1.43607i | 1.04086 | − | 0.0936791i | ||||
\(236\) | 8.15307 | + | 10.2236i | 0.530720 | + | 0.665502i | ||||
\(237\) | −4.52528 | − | 10.5874i | −0.293949 | − | 0.687727i | ||||
\(238\) | 0.846682 | + | 0.615150i | 0.0548822 | + | 0.0398743i | ||||
\(239\) | 6.71161 | − | 3.23214i | 0.434138 | − | 0.209070i | −0.204034 | − | 0.978964i | \(-0.565405\pi\) |
0.638172 | + | 0.769894i | \(0.279691\pi\) | |||||||
\(240\) | −2.37640 | + | 0.891876i | −0.153396 | + | 0.0575703i | ||||
\(241\) | −12.6853 | − | 19.2174i | −0.817133 | − | 1.23790i | −0.968398 | − | 0.249410i | \(-0.919763\pi\) |
0.151265 | − | 0.988493i | \(-0.451665\pi\) | |||||||
\(242\) | 6.71181 | + | 0.604074i | 0.431452 | + | 0.0388313i | ||||
\(243\) | −12.1999 | − | 5.87518i | −0.782626 | − | 0.376893i | ||||
\(244\) | 7.87195 | + | 14.6285i | 0.503950 | + | 0.936496i | ||||
\(245\) | −3.09456 | + | 13.5581i | −0.197704 | + | 0.866198i | ||||
\(246\) | 5.09491 | − | 7.71846i | 0.324840 | − | 0.492111i | ||||
\(247\) | 16.7703 | − | 21.0292i | 1.06707 | − | 1.33806i | ||||
\(248\) | 3.83531 | + | 1.05848i | 0.243542 | + | 0.0672134i | ||||
\(249\) | −5.17173 | − | 1.42731i | −0.327745 | − | 0.0904518i | ||||
\(250\) | 5.51883 | − | 6.92039i | 0.349041 | − | 0.437684i | ||||
\(251\) | 9.01757 | − | 13.6610i | 0.569184 | − | 0.862277i | −0.429993 | − | 0.902832i | \(-0.641484\pi\) |
0.999177 | + | 0.0405549i | \(0.0129126\pi\) | |||||||
\(252\) | 0.154531 | − | 0.677044i | 0.00973453 | − | 0.0426498i | ||||
\(253\) | −0.575793 | − | 1.07000i | −0.0361998 | − | 0.0672705i | ||||
\(254\) | 8.96850 | + | 4.31900i | 0.562734 | + | 0.270998i | ||||
\(255\) | 10.7852 | + | 0.970684i | 0.675395 | + | 0.0607866i | ||||
\(256\) | 6.62216 | + | 10.0321i | 0.413885 | + | 0.627009i | ||||
\(257\) | 22.2098 | − | 8.33548i | 1.38541 | − | 0.519953i | 0.456323 | − | 0.889814i | \(-0.349166\pi\) |
0.929087 | + | 0.369861i | \(0.120595\pi\) | |||||||
\(258\) | −6.03297 | + | 2.90533i | −0.375596 | + | 0.180878i | ||||
\(259\) | −1.28339 | − | 0.932439i | −0.0797461 | − | 0.0579389i | ||||
\(260\) | −4.26824 | − | 9.98605i | −0.264705 | − | 0.619309i | ||||
\(261\) | 0.463063 | + | 0.580663i | 0.0286629 | + | 0.0359421i | ||||
\(262\) | −9.69500 | + | 0.872566i | −0.598959 | + | 0.0539073i | ||||
\(263\) | −16.8038 | − | 6.30658i | −1.03617 | − | 0.388880i | −0.225411 | − | 0.974264i | \(-0.572372\pi\) |
−0.810756 | + | 0.585384i | \(0.800944\pi\) | |||||||
\(264\) | −0.969102 | − | 4.24592i | −0.0596441 | − | 0.261318i | ||||
\(265\) | 10.4884 | − | 9.16341i | 0.644295 | − | 0.562904i | ||||
\(266\) | −1.50574 | − | 0.899637i | −0.0923227 | − | 0.0551603i | ||||
\(267\) | 10.1568 | − | 7.37937i | 0.621588 | − | 0.451610i | ||||
\(268\) | 4.27261 | − | 7.93984i | 0.260991 | − | 0.485003i | ||||
\(269\) | −17.6163 | − | 15.3909i | −1.07408 | − | 0.938397i | −0.0758077 | − | 0.997122i | \(-0.524154\pi\) |
−0.998274 | + | 0.0587254i | \(0.981296\pi\) | |||||||
\(270\) | 2.55200 | + | 7.85424i | 0.155310 | + | 0.477994i | ||||
\(271\) | −9.78863 | + | 1.77638i | −0.594617 | + | 0.107907i | −0.467519 | − | 0.883983i | \(-0.654852\pi\) |
−0.127098 | + | 0.991890i | \(0.540566\pi\) | |||||||
\(272\) | 0.590069 | + | 4.35607i | 0.0357782 | + | 0.264125i | ||||
\(273\) | −1.47620 | − | 0.267891i | −0.0893439 | − | 0.0162135i | ||||
\(274\) | −0.176032 | + | 3.91965i | −0.0106345 | + | 0.236795i | ||||
\(275\) | −0.883967 | − | 0.924557i | −0.0533052 | − | 0.0557529i | ||||
\(276\) | 1.09911 | − | 1.14958i | 0.0661588 | − | 0.0691967i | ||||
\(277\) | −1.02965 | − | 22.9269i | −0.0618657 | − | 1.37755i | −0.754520 | − | 0.656277i | \(-0.772130\pi\) |
0.692654 | − | 0.721270i | \(-0.256441\pi\) | |||||||
\(278\) | −1.71368 | + | 12.6509i | −0.102780 | + | 0.758751i | ||||
\(279\) | −0.704483 | + | 2.16818i | −0.0421763 | + | 0.129805i | ||||
\(280\) | −1.44502 | + | 0.863360i | −0.0863565 | + | 0.0515956i | ||||
\(281\) | 4.68469 | − | 10.9604i | 0.279465 | − | 0.653841i | −0.719717 | − | 0.694267i | \(-0.755729\pi\) |
0.999183 | + | 0.0404261i | \(0.0128715\pi\) | |||||||
\(282\) | −7.02006 | + | 1.93741i | −0.418039 | + | 0.115371i | ||||
\(283\) | −2.86975 | −0.170589 | −0.0852945 | − | 0.996356i | \(-0.527183\pi\) | ||||
−0.0852945 | + | 0.996356i | \(0.527183\pi\) | |||||||
\(284\) | −2.68045 | + | 11.9424i | −0.159056 | + | 0.708652i | ||||
\(285\) | −18.1490 | −1.07505 | ||||||||
\(286\) | 3.63559 | − | 1.00336i | 0.214977 | − | 0.0593299i | ||||
\(287\) | −1.29460 | + | 3.02887i | −0.0764180 | + | 0.178789i | ||||
\(288\) | −7.36332 | + | 4.39938i | −0.433888 | + | 0.259236i | ||||
\(289\) | 0.541944 | − | 1.66793i | 0.0318791 | − | 0.0981137i | ||||
\(290\) | 0.101667 | − | 0.750536i | 0.00597009 | − | 0.0440730i | ||||
\(291\) | −0.170800 | − | 3.80316i | −0.0100125 | − | 0.222945i | ||||
\(292\) | −12.2200 | + | 12.7811i | −0.715122 | + | 0.747959i | ||||
\(293\) | −12.3319 | − | 12.8982i | −0.720440 | − | 0.753521i | 0.256614 | − | 0.966514i | \(-0.417393\pi\) |
−0.977054 | + | 0.212993i | \(0.931679\pi\) | |||||||
\(294\) | 0.283620 | − | 6.31528i | 0.0165410 | − | 0.368315i | ||||
\(295\) | 17.8698 | + | 3.24289i | 1.04042 | + | 0.188808i | ||||
\(296\) | 1.66540 | + | 12.2945i | 0.0967992 | + | 0.714600i | ||||
\(297\) | 7.48775 | − | 1.35883i | 0.434483 | − | 0.0788471i | ||||
\(298\) | −1.87116 | − | 5.75884i | −0.108393 | − | 0.333601i | ||||
\(299\) | 2.46538 | + | 2.15394i | 0.142577 | + | 0.124565i | ||||
\(300\) | 0.793402 | − | 1.47439i | 0.0458071 | − | 0.0851239i | ||||
\(301\) | 1.92943 | − | 1.40181i | 0.111211 | − | 0.0807992i | ||||
\(302\) | −9.29698 | − | 5.55469i | −0.534981 | − | 0.319636i | ||||
\(303\) | −2.16648 | + | 1.89280i | −0.124461 | + | 0.108738i | ||||
\(304\) | −1.63940 | − | 7.18270i | −0.0940263 | − | 0.411956i | ||||
\(305\) | 21.6010 | + | 8.10697i | 1.23687 | + | 0.464204i | ||||
\(306\) | 4.67106 | − | 0.420403i | 0.267027 | − | 0.0240328i | ||||
\(307\) | 7.66565 | + | 9.61243i | 0.437502 | + | 0.548610i | 0.950883 | − | 0.309551i | \(-0.100179\pi\) |
−0.513381 | + | 0.858161i | \(0.671607\pi\) | |||||||
\(308\) | 0.256486 | + | 0.600078i | 0.0146146 | + | 0.0341926i | ||||
\(309\) | −13.6156 | − | 9.89230i | −0.774564 | − | 0.562753i | ||||
\(310\) | 2.09463 | − | 1.00872i | 0.118967 | − | 0.0572915i | ||||
\(311\) | 3.65740 | − | 1.37265i | 0.207392 | − | 0.0778357i | −0.245517 | − | 0.969392i | \(-0.578958\pi\) |
0.452909 | + | 0.891557i | \(0.350386\pi\) | |||||||
\(312\) | 6.46410 | + | 9.79270i | 0.365958 | + | 0.554402i | ||||
\(313\) | −1.02505 | − | 0.0922557i | −0.0579390 | − | 0.00521460i | 0.0606319 | − | 0.998160i | \(-0.480688\pi\) |
−0.118571 | + | 0.992946i | \(0.537831\pi\) | |||||||
\(314\) | 9.55201 | + | 4.60001i | 0.539051 | + | 0.259593i | ||||
\(315\) | −0.457052 | − | 0.849346i | −0.0257520 | − | 0.0478552i | ||||
\(316\) | 3.00259 | − | 13.1552i | 0.168909 | − | 0.740038i | ||||
\(317\) | 6.78490 | − | 10.2787i | 0.381078 | − | 0.577308i | −0.592526 | − | 0.805551i | \(-0.701869\pi\) |
0.973604 | + | 0.228243i | \(0.0732979\pi\) | |||||||
\(318\) | −3.94733 | + | 4.94980i | −0.221355 | + | 0.277571i | ||||
\(319\) | −0.672774 | − | 0.185674i | −0.0376681 | − | 0.0103957i | ||||
\(320\) | 4.48386 | + | 1.23747i | 0.250655 | + | 0.0691765i | ||||
\(321\) | −4.96258 | + | 6.22288i | −0.276984 | + | 0.347327i | ||||
\(322\) | 0.117609 | − | 0.178171i | 0.00655412 | − | 0.00992907i | ||||
\(323\) | −6.99410 | + | 30.6431i | −0.389162 | + | 1.70503i | ||||
\(324\) | 1.69768 | + | 3.15482i | 0.0943156 | + | 0.175268i | ||||
\(325\) | 3.10504 | + | 1.49531i | 0.172237 | + | 0.0829449i | ||||
\(326\) | −9.67814 | − | 0.871049i | −0.536023 | − | 0.0482429i | ||||
\(327\) | −6.06709 | − | 9.19126i | −0.335511 | − | 0.508278i | ||||
\(328\) | 24.1189 | − | 9.05197i | 1.33174 | − | 0.499811i | ||||
\(329\) | 2.33690 | − | 1.12539i | 0.128838 | − | 0.0620449i | ||||
\(330\) | −2.05880 | − | 1.49581i | −0.113333 | − | 0.0823414i | ||||
\(331\) | 10.0397 | + | 23.4891i | 0.551832 | + | 1.29108i | 0.930754 | + | 0.365647i | \(0.119152\pi\) |
−0.378921 | + | 0.925429i | \(0.623705\pi\) | |||||||
\(332\) | −3.92016 | − | 4.91573i | −0.215147 | − | 0.269786i | ||||
\(333\) | −7.08034 | + | 0.637242i | −0.388000 | + | 0.0349207i | ||||
\(334\) | 3.32365 | + | 1.24739i | 0.181862 | + | 0.0682540i | ||||
\(335\) | −2.78657 | − | 12.2088i | −0.152246 | − | 0.667035i | ||||
\(336\) | −0.309473 | + | 0.270378i | −0.0168831 | + | 0.0147504i | ||||
\(337\) | −0.572685 | − | 0.342163i | −0.0311961 | − | 0.0186388i | 0.497217 | − | 0.867626i | \(-0.334355\pi\) |
−0.528413 | + | 0.848988i | \(0.677213\pi\) | |||||||
\(338\) | −0.439186 | + | 0.319088i | −0.0238886 | + | 0.0173561i | ||||
\(339\) | −10.9166 | + | 20.2865i | −0.592910 | + | 1.10181i | ||||
\(340\) | 9.55687 | + | 8.34958i | 0.518294 | + | 0.452820i | ||||
\(341\) | −0.662017 | − | 2.03748i | −0.0358502 | − | 0.110336i | ||||
\(342\) | −7.73399 | + | 1.40351i | −0.418206 | + | 0.0758932i | ||||
\(343\) | 0.609142 | + | 4.49686i | 0.0328906 | + | 0.242808i | ||||
\(344\) | −18.3523 | − | 3.33046i | −0.989492 | − | 0.179566i | ||||
\(345\) | 0.0991048 | − | 2.20674i | 0.00533562 | − | 0.118807i | ||||
\(346\) | 11.3918 | + | 11.9149i | 0.612425 | + | 0.640547i | ||||
\(347\) | −5.50138 | + | 5.75400i | −0.295330 | + | 0.308891i | −0.853766 | − | 0.520657i | \(-0.825687\pi\) |
0.558436 | + | 0.829547i | \(0.311401\pi\) | |||||||
\(348\) | −0.0409856 | − | 0.912616i | −0.00219706 | − | 0.0489214i | ||||
\(349\) | −0.715291 | + | 5.28049i | −0.0382887 | + | 0.282658i | 0.961675 | + | 0.274190i | \(0.0884098\pi\) |
−0.999964 | + | 0.00846809i | \(0.997304\pi\) | |||||||
\(350\) | 0.0694488 | − | 0.213741i | 0.00371219 | − | 0.0114250i | ||||
\(351\) | −17.6011 | + | 10.5162i | −0.939479 | + | 0.561313i | ||||
\(352\) | 3.16795 | − | 7.41178i | 0.168852 | − | 0.395049i | ||||
\(353\) | −10.1224 | + | 2.79359i | −0.538759 | + | 0.148688i | −0.524817 | − | 0.851215i | \(-0.675866\pi\) |
−0.0139414 | + | 0.999903i | \(0.504438\pi\) | |||||||
\(354\) | −8.25579 | −0.438790 | ||||||||
\(355\) | 8.10938 | + | 14.9402i | 0.430401 | + | 0.792946i | ||||
\(356\) | 14.7130 | 0.779785 | ||||||||
\(357\) | 1.69002 | − | 0.466417i | 0.0894455 | − | 0.0246854i | ||||
\(358\) | −0.686721 | + | 1.60666i | −0.0362944 | + | 0.0849149i | ||||
\(359\) | −19.4807 | + | 11.6392i | −1.02815 | + | 0.614291i | −0.924839 | − | 0.380358i | \(-0.875801\pi\) |
−0.103311 | + | 0.994649i | \(0.532944\pi\) | |||||||
\(360\) | −2.33102 | + | 7.17415i | −0.122856 | + | 0.378111i | ||||
\(361\) | 4.52077 | − | 33.3737i | 0.237935 | − | 1.75651i | ||||
\(362\) | 0.101782 | + | 2.26635i | 0.00534954 | + | 0.119117i | ||||
\(363\) | 7.80151 | − | 8.15974i | 0.409473 | − | 0.428275i | ||||
\(364\) | −1.21506 | − | 1.27086i | −0.0636867 | − | 0.0666110i | ||||
\(365\) | −1.10185 | + | 24.5347i | −0.0576737 | + | 1.28420i | ||||
\(366\) | −10.3194 | − | 1.87270i | −0.539404 | − | 0.0978874i | ||||
\(367\) | −0.677207 | − | 4.99934i | −0.0353499 | − | 0.260964i | 0.964647 | − | 0.263546i | \(-0.0848922\pi\) |
−0.999997 | + | 0.00258276i | \(0.999178\pi\) | |||||||
\(368\) | 0.882300 | − | 0.160114i | 0.0459930 | − | 0.00834651i | ||||
\(369\) | 4.56145 | + | 14.0387i | 0.237460 | + | 0.730826i | ||||
\(370\) | 5.45948 | + | 4.76980i | 0.283825 | + | 0.247970i | ||||
\(371\) | 1.06852 | − | 1.98564i | 0.0554748 | − | 0.103089i | ||||
\(372\) | 2.26862 | − | 1.64825i | 0.117622 | − | 0.0854576i | ||||
\(373\) | −2.58982 | − | 1.54735i | −0.134096 | − | 0.0801186i | 0.444284 | − | 0.895886i | \(-0.353458\pi\) |
−0.578381 | + | 0.815767i | \(0.696315\pi\) | |||||||
\(374\) | −3.31896 | + | 2.89968i | −0.171619 | + | 0.149939i | ||||
\(375\) | −3.29957 | − | 14.4564i | −0.170389 | − | 0.746524i | ||||
\(376\) | −18.9920 | − | 7.12783i | −0.979439 | − | 0.367590i | ||||
\(377\) | 1.87282 | − | 0.168557i | 0.0964552 | − | 0.00868112i | ||||
\(378\) | 0.833643 | + | 1.04536i | 0.0428780 | + | 0.0537673i | ||||
\(379\) | 9.09798 | + | 21.2858i | 0.467332 | + | 1.09338i | 0.973032 | + | 0.230668i | \(0.0740912\pi\) |
−0.505700 | + | 0.862709i | \(0.668766\pi\) | |||||||
\(380\) | −17.2072 | − | 12.5017i | −0.882709 | − | 0.641325i | ||||
\(381\) | 15.0241 | − | 7.23524i | 0.769710 | − | 0.370673i | ||||
\(382\) | 9.48858 | − | 3.56112i | 0.485478 | − | 0.182203i | ||||
\(383\) | 4.60205 | + | 6.97181i | 0.235154 | + | 0.356243i | 0.932921 | − | 0.360082i | \(-0.117251\pi\) |
−0.697767 | + | 0.716325i | \(0.745823\pi\) | |||||||
\(384\) | 12.3624 | + | 1.11263i | 0.630864 | + | 0.0567787i | ||||
\(385\) | 0.816613 | + | 0.393260i | 0.0416184 | + | 0.0200424i | ||||
\(386\) | −2.64994 | − | 4.92442i | −0.134879 | − | 0.250646i | ||||
\(387\) | 2.37819 | − | 10.4195i | 0.120890 | − | 0.529655i | ||||
\(388\) | 2.45783 | − | 3.72345i | 0.124777 | − | 0.189030i | ||||
\(389\) | −1.72822 | + | 2.16712i | −0.0876241 | + | 0.109877i | −0.823711 | − | 0.567010i | \(-0.808100\pi\) |
0.736087 | + | 0.676887i | \(0.236672\pi\) | |||||||
\(390\) | 6.60930 | + | 1.82405i | 0.334675 | + | 0.0923645i | ||||
\(391\) | −3.68772 | − | 1.01775i | −0.186496 | − | 0.0514697i | ||||
\(392\) | 10.9791 | − | 13.7673i | 0.554527 | − | 0.695355i | ||||
\(393\) | −8.98338 | + | 13.6092i | −0.453152 | + | 0.686495i | ||||
\(394\) | 3.59894 | − | 15.7680i | 0.181312 | − | 0.794380i | ||||
\(395\) | −8.88070 | − | 16.5031i | −0.446836 | − | 0.830361i | ||||
\(396\) | 2.63486 | + | 1.26888i | 0.132406 | + | 0.0637636i | ||||
\(397\) | 8.09957 | + | 0.728975i | 0.406506 | + | 0.0365862i | 0.291006 | − | 0.956721i | \(-0.406010\pi\) |
0.115500 | + | 0.993307i | \(0.463153\pi\) | |||||||
\(398\) | −9.44811 | − | 14.3133i | −0.473591 | − | 0.717460i | ||||
\(399\) | −2.75099 | + | 1.03246i | −0.137722 | + | 0.0516879i | ||||
\(400\) | 0.850496 | − | 0.409577i | 0.0425248 | − | 0.0204789i | ||||
\(401\) | 14.8424 | + | 10.7836i | 0.741193 | + | 0.538508i | 0.893085 | − | 0.449889i | \(-0.148536\pi\) |
−0.151891 | + | 0.988397i | \(0.548536\pi\) | |||||||
\(402\) | 2.23729 | + | 5.23439i | 0.111586 | + | 0.261068i | ||||
\(403\) | 3.59878 | + | 4.51272i | 0.179268 | + | 0.224795i | ||||
\(404\) | −3.35789 | + | 0.302215i | −0.167061 | + | 0.0150358i | ||||
\(405\) | 4.65850 | + | 1.74837i | 0.231483 | + | 0.0868770i | ||||
\(406\) | −0.0272862 | − | 0.119549i | −0.00135419 | − | 0.00593311i | ||||
\(407\) | 5.03084 | − | 4.39531i | 0.249369 | − | 0.217868i | ||||
\(408\) | −11.7707 | − | 7.03267i | −0.582737 | − | 0.348169i | ||||
\(409\) | −14.4787 | + | 10.5194i | −0.715923 | + | 0.520149i | −0.885079 | − | 0.465441i | \(-0.845896\pi\) |
0.169156 | + | 0.985589i | \(0.445896\pi\) | |||||||
\(410\) | 7.13325 | − | 13.2558i | 0.352286 | − | 0.654658i | ||||
\(411\) | 4.94983 | + | 4.32454i | 0.244157 | + | 0.213314i | ||||
\(412\) | −6.09482 | − | 18.7579i | −0.300270 | − | 0.924137i | ||||
\(413\) | 2.89316 | − | 0.525031i | 0.142363 | − | 0.0258351i | ||||
\(414\) | −0.128421 | − | 0.948043i | −0.00631155 | − | 0.0465938i | ||||
\(415\) | −8.59217 | − | 1.55925i | −0.421773 | − | 0.0765405i | ||||
\(416\) | −0.974322 | + | 21.6950i | −0.0477701 | + | 1.06368i | ||||
\(417\) | 14.7794 | + | 15.4581i | 0.723751 | + | 0.756985i | ||||
\(418\) | 5.10452 | − | 5.33891i | 0.249670 | − | 0.261135i | ||||
\(419\) | 0.354340 | + | 7.88998i | 0.0173106 | + | 0.385451i | 0.988882 | + | 0.148703i | \(0.0475100\pi\) |
−0.971571 | + | 0.236748i | \(0.923919\pi\) | |||||||
\(420\) | −0.159251 | + | 1.17564i | −0.00777067 | + | 0.0573654i | ||||
\(421\) | 1.53676 | − | 4.72967i | 0.0748972 | − | 0.230510i | −0.906598 | − | 0.421994i | \(-0.861330\pi\) |
0.981496 | + | 0.191485i | \(0.0613302\pi\) | |||||||
\(422\) | 16.3798 | − | 9.78645i | 0.797354 | − | 0.476397i | ||||
\(423\) | 4.56831 | − | 10.6881i | 0.222119 | − | 0.519673i | ||||
\(424\) | −16.9997 | + | 4.69161i | −0.825577 | + | 0.227845i | ||||
\(425\) | −4.02725 | −0.195350 | ||||||||
\(426\) | −4.83971 | − | 6.02406i | −0.234485 | − | 0.291867i | ||||
\(427\) | 3.73543 | 0.180770 | ||||||||
\(428\) | −8.99162 | + | 2.48153i | −0.434627 | + | 0.119949i | ||||
\(429\) | 2.48316 | − | 5.80964i | 0.119888 | − | 0.280492i | ||||
\(430\) | −9.35620 | + | 5.59007i | −0.451196 | + | 0.269577i | ||||
\(431\) | −0.174392 | + | 0.536724i | −0.00840018 | + | 0.0258531i | −0.955169 | − | 0.296062i | \(-0.904327\pi\) |
0.946769 | + | 0.321915i | \(0.104327\pi\) | |||||||
\(432\) | −0.753861 | + | 5.56522i | −0.0362701 | + | 0.267757i | ||||
\(433\) | −0.289036 | − | 6.43589i | −0.0138902 | − | 0.309289i | −0.993896 | − | 0.110321i | \(-0.964812\pi\) |
0.980006 | − | 0.198969i | \(-0.0637592\pi\) | |||||||
\(434\) | 0.260116 | − | 0.272060i | 0.0124860 | − | 0.0130593i | ||||
\(435\) | −0.876813 | − | 0.917074i | −0.0420400 | − | 0.0439703i | ||||
\(436\) | 0.579050 | − | 12.8936i | 0.0277315 | − | 0.617489i | ||||
\(437\) | 6.30862 | + | 1.14485i | 0.301782 | + | 0.0547654i | ||||
\(438\) | −1.49858 | − | 11.0630i | −0.0716051 | − | 0.528610i | ||||
\(439\) | 2.31490 | − | 0.420093i | 0.110484 | − | 0.0200499i | −0.123033 | − | 0.992403i | \(-0.539262\pi\) |
0.233517 | + | 0.972353i | \(0.424976\pi\) | |||||||
\(440\) | −2.19051 | − | 6.74169i | −0.104428 | − | 0.321397i | ||||
\(441\) | 7.59838 | + | 6.63850i | 0.361827 | + | 0.316119i | ||||
\(442\) | 5.62681 | − | 10.4564i | 0.267640 | − | 0.497359i | ||||
\(443\) | 11.1482 | − | 8.09963i | 0.529666 | − | 0.384825i | −0.290567 | − | 0.956855i | \(-0.593844\pi\) |
0.820233 | + | 0.572030i | \(0.193844\pi\) | |||||||
\(444\) | 7.50646 | + | 4.48490i | 0.356241 | + | 0.212844i | ||||
\(445\) | 15.3886 | − | 13.4446i | 0.729491 | − | 0.637337i | ||||
\(446\) | 1.17309 | + | 5.13964i | 0.0555474 | + | 0.243369i | ||||
\(447\) | −9.49693 | − | 3.56426i | −0.449189 | − | 0.168584i | ||||
\(448\) | 0.750054 | − | 0.0675061i | 0.0354367 | − | 0.00318936i | ||||
\(449\) | −22.0469 | − | 27.6459i | −1.04046 | − | 1.30469i | −0.951164 | − | 0.308687i | \(-0.900110\pi\) |
−0.0892940 | − | 0.996005i | \(-0.528461\pi\) | |||||||
\(450\) | −0.395828 | − | 0.926086i | −0.0186595 | − | 0.0436561i | ||||
\(451\) | −11.2222 | − | 8.15338i | −0.528431 | − | 0.383928i | ||||
\(452\) | −24.3243 | + | 11.7140i | −1.14412 | + | 0.550978i | ||||
\(453\) | −16.9856 | + | 6.37482i | −0.798055 | + | 0.299515i | ||||
\(454\) | −0.457911 | − | 0.693705i | −0.0214908 | − | 0.0325572i | ||||
\(455\) | −2.43217 | − | 0.218899i | −0.114022 | − | 0.0102621i | ||||
\(456\) | 20.7048 | + | 9.97089i | 0.969590 | + | 0.466930i | ||||
\(457\) | 15.1533 | + | 28.1596i | 0.708842 | + | 1.31725i | 0.938940 | + | 0.344082i | \(0.111810\pi\) |
−0.230098 | + | 0.973168i | \(0.573905\pi\) | |||||||
\(458\) | −2.47128 | + | 10.8274i | −0.115475 | + | 0.505930i | ||||
\(459\) | 13.1992 | − | 19.9959i | 0.616085 | − | 0.933329i | ||||
\(460\) | 1.61405 | − | 2.02396i | 0.0752556 | − | 0.0943676i | ||||
\(461\) | 16.4441 | + | 4.53829i | 0.765879 | + | 0.211369i | 0.627084 | − | 0.778952i | \(-0.284248\pi\) |
0.138795 | + | 0.990321i | \(0.455677\pi\) | |||||||
\(462\) | −0.397164 | − | 0.109610i | −0.0184777 | − | 0.00509953i | ||||
\(463\) | −23.7995 | + | 29.8436i | −1.10606 | + | 1.38695i | −0.191984 | + | 0.981398i | \(0.561492\pi\) |
−0.914072 | + | 0.405552i | \(0.867079\pi\) | |||||||
\(464\) | 0.283742 | − | 0.429850i | 0.0131724 | − | 0.0199553i | ||||
\(465\) | 0.866638 | − | 3.79699i | 0.0401894 | − | 0.176081i | ||||
\(466\) | −5.62051 | − | 10.4447i | −0.260365 | − | 0.483840i | ||||
\(467\) | −6.70037 | − | 3.22673i | −0.310056 | − | 0.149315i | 0.272384 | − | 0.962189i | \(-0.412188\pi\) |
−0.582441 | + | 0.812873i | \(0.697902\pi\) | |||||||
\(468\) | −7.84755 | − | 0.706293i | −0.362753 | − | 0.0326484i | ||||
\(469\) | −1.11692 | − | 1.69206i | −0.0515746 | − | 0.0781321i | ||||
\(470\) | −11.0976 | + | 4.16500i | −0.511894 | + | 0.192117i | ||||
\(471\) | 16.0016 | − | 7.70598i | 0.737317 | − | 0.355073i | ||||
\(472\) | −18.6047 | − | 13.5171i | −0.856350 | − | 0.622174i | ||||
\(473\) | 3.94725 | + | 9.23505i | 0.181495 | + | 0.424628i | ||||
\(474\) | 5.31155 | + | 6.66047i | 0.243967 | + | 0.305926i | ||||
\(475\) | 6.72247 | − | 0.605033i | 0.308448 | − | 0.0277608i | ||||
\(476\) | 1.92361 | + | 0.721943i | 0.0881685 | + | 0.0330902i | ||||
\(477\) | −2.24853 | − | 9.85148i | −0.102953 | − | 0.451068i | ||||
\(478\) | −4.15068 | + | 3.62634i | −0.189848 | + | 0.165865i | ||||
\(479\) | 26.2077 | + | 15.6584i | 1.19746 | + | 0.715450i | 0.966288 | − | 0.257463i | \(-0.0828866\pi\) |
0.231173 | + | 0.972913i | \(0.425744\pi\) | |||||||
\(480\) | 11.8548 | − | 8.61304i | 0.541097 | − | 0.393130i | ||||
\(481\) | −8.52906 | + | 15.8497i | −0.388892 | + | 0.722682i | ||||
\(482\) | 12.8302 | + | 11.2094i | 0.584399 | + | 0.510574i | ||||
\(483\) | −0.110516 | − | 0.340132i | −0.00502864 | − | 0.0154766i | ||||
\(484\) | 13.0174 | − | 2.36231i | 0.591701 | − | 0.107378i | ||||
\(485\) | −0.831774 | − | 6.14040i | −0.0377689 | − | 0.278821i | ||||
\(486\) | 9.85775 | + | 1.78892i | 0.447157 | + | 0.0811469i | ||||
\(487\) | 0.857304 | − | 19.0894i | 0.0388481 | − | 0.865021i | −0.881088 | − | 0.472953i | \(-0.843188\pi\) |
0.919936 | − | 0.392068i | \(-0.128240\pi\) | |||||||
\(488\) | −20.1890 | − | 21.1160i | −0.913912 | − | 0.955877i | ||||
\(489\) | −11.2494 | + | 11.7660i | −0.508717 | + | 0.532077i | ||||
\(490\) | −0.461636 | − | 10.2791i | −0.0208546 | − | 0.464364i | ||||
\(491\) | 5.65337 | − | 41.7349i | 0.255133 | − | 1.88347i | −0.180847 | − | 0.983511i | \(-0.557884\pi\) |
0.435980 | − | 0.899956i | \(-0.356402\pi\) | |||||||
\(492\) | 5.61071 | − | 17.2680i | 0.252950 | − | 0.778501i | ||||
\(493\) | −1.88631 | + | 1.12702i | −0.0849551 | + | 0.0507583i | ||||
\(494\) | −7.82162 | + | 18.2996i | −0.351912 | + | 0.823338i | ||||
\(495\) | 3.91535 | − | 1.08057i | 0.175982 | − | 0.0485680i | ||||
\(496\) | 1.58099 | 0.0709887 | ||||||||
\(497\) | 2.07913 | + | 1.80329i | 0.0932619 | + | 0.0808886i | ||||
\(498\) | 3.96955 | 0.177880 | ||||||||
\(499\) | −27.9269 | + | 7.70733i | −1.25018 | + | 0.345027i | −0.827610 | − | 0.561303i | \(-0.810300\pi\) |
−0.422569 | + | 0.906331i | \(0.638872\pi\) | |||||||
\(500\) | 6.82978 | − | 15.9791i | 0.305437 | − | 0.714606i | ||||
\(501\) | 5.10522 | − | 3.05023i | 0.228084 | − | 0.136274i | ||||
\(502\) | −3.74255 | + | 11.5184i | −0.167038 | + | 0.514091i | ||||
\(503\) | −0.524419 | + | 3.87142i | −0.0233827 | + | 0.172618i | −0.998875 | − | 0.0474142i | \(-0.984902\pi\) |
0.975493 | + | 0.220032i | \(0.0706162\pi\) | |||||||
\(504\) | 0.0547927 | + | 1.22005i | 0.00244066 | + | 0.0543456i | ||||
\(505\) | −3.23593 | + | 3.38452i | −0.143997 | + | 0.150609i | ||||
\(506\) | 0.621287 | + | 0.649815i | 0.0276196 | + | 0.0288878i | ||||
\(507\) | −0.0408006 | + | 0.908497i | −0.00181202 | + | 0.0403478i | ||||
\(508\) | 19.2284 | + | 3.48944i | 0.853123 | + | 0.154819i | ||||
\(509\) | 4.12322 | + | 30.4388i | 0.182758 | + | 1.34918i | 0.817266 | + | 0.576261i | \(0.195489\pi\) |
−0.634507 | + | 0.772917i | \(0.718797\pi\) | |||||||
\(510\) | −7.88333 | + | 1.43061i | −0.349080 | + | 0.0633486i | ||||
\(511\) | 1.22872 | + | 3.78161i | 0.0543554 | + | 0.167289i | ||||
\(512\) | 8.38505 | + | 7.32580i | 0.370570 | + | 0.323757i | ||||
\(513\) | −19.0286 | + | 35.3611i | −0.840133 | + | 1.56123i | ||||
\(514\) | −14.1999 | + | 10.3168i | −0.626329 | + | 0.455055i | ||||
\(515\) | −23.5156 | − | 14.0499i | −1.03622 | − | 0.619114i | ||||
\(516\) | −9.89982 | + | 8.64921i | −0.435815 | + | 0.380760i | ||||
\(517\) | 2.43055 | + | 10.6489i | 0.106895 | + | 0.468339i | ||||
\(518\) | 1.09889 | + | 0.412419i | 0.0482823 | + | 0.0181206i | ||||
\(519\) | 27.5037 | − | 2.47538i | 1.20728 | − | 0.108657i | ||||
\(520\) | 11.9078 | + | 14.9319i | 0.522191 | + | 0.654806i | ||||
\(521\) | 0.613396 | + | 1.43511i | 0.0268734 | + | 0.0628733i | 0.932427 | − | 0.361359i | \(-0.117687\pi\) |
−0.905554 | + | 0.424232i | \(0.860544\pi\) | |||||||
\(522\) | −0.444564 | − | 0.322995i | −0.0194580 | − | 0.0141371i | ||||
\(523\) | −15.2527 | + | 7.34531i | −0.666954 | + | 0.321188i | −0.736546 | − | 0.676388i | \(-0.763544\pi\) |
0.0695922 | + | 0.997576i | \(0.477830\pi\) | |||||||
\(524\) | −17.8918 | + | 6.71490i | −0.781607 | + | 0.293342i | ||||
\(525\) | −0.207407 | − | 0.314207i | −0.00905196 | − | 0.0137131i | ||||
\(526\) | 13.2263 | + | 1.19039i | 0.576693 | + | 0.0519033i | ||||
\(527\) | −6.07695 | − | 2.92651i | −0.264716 | − | 0.127481i | ||||
\(528\) | −0.820063 | − | 1.52393i | −0.0356887 | − | 0.0663207i | ||||
\(529\) | 4.94433 | − | 21.6625i | 0.214971 | − | 0.941849i | ||||
\(530\) | −5.67686 | + | 8.60008i | −0.246587 | + | 0.373563i | ||||
\(531\) | 8.21566 | − | 10.3021i | 0.356529 | − | 0.447073i | ||||
\(532\) | −3.31944 | − | 0.916107i | −0.143916 | − | 0.0397183i | ||||
\(533\) | 36.0262 | + | 9.94260i | 1.56047 | + | 0.430662i | ||||
\(534\) | −5.79156 | + | 7.26239i | −0.250625 | + | 0.314274i | ||||
\(535\) | −7.13694 | + | 10.8120i | −0.308557 | + | 0.467443i | ||||
\(536\) | −3.52840 | + | 15.4589i | −0.152404 | + | 0.667725i | ||||
\(537\) | 1.38704 | + | 2.57755i | 0.0598551 | + | 0.111229i | ||||
\(538\) | 15.5938 | + | 7.50960i | 0.672299 | + | 0.323762i | ||||
\(539\) | −9.44346 | − | 0.849927i | −0.406759 | − | 0.0366089i | ||||
\(540\) | 8.93177 | + | 13.5311i | 0.384362 | + | 0.582284i | ||||
\(541\) | −26.3890 | + | 9.90397i | −1.13455 | + | 0.425805i | −0.846806 | − | 0.531901i | \(-0.821478\pi\) |
−0.287747 | + | 0.957706i | \(0.592906\pi\) | |||||||
\(542\) | 6.63184 | − | 3.19373i | 0.284862 | − | 0.137182i | ||||
\(543\) | 3.07462 | + | 2.23384i | 0.131945 | + | 0.0958634i | ||||
\(544\) | −9.97395 | − | 23.3352i | −0.427630 | − | 1.00049i | ||||
\(545\) | −11.1764 | − | 14.0148i | −0.478746 | − | 0.600328i | ||||
\(546\) | 1.10560 | − | 0.0995054i | 0.0473151 | − | 0.00425844i | ||||
\(547\) | −8.41486 | − | 3.15815i | −0.359793 | − | 0.135033i | 0.164930 | − | 0.986305i | \(-0.447260\pi\) |
−0.524724 | + | 0.851272i | \(0.675831\pi\) | |||||||
\(548\) | 1.71405 | + | 7.50977i | 0.0732208 | + | 0.320801i | ||||
\(549\) | 12.6061 | − | 11.0136i | 0.538016 | − | 0.470051i | ||||
\(550\) | 0.812455 | + | 0.485419i | 0.0346432 | + | 0.0206984i | ||||
\(551\) | 2.97940 | − | 2.16466i | 0.126927 | − | 0.0922176i | ||||
\(552\) | −1.32543 | + | 2.46305i | −0.0564139 | + | 0.104835i | ||||
\(553\) | −2.28496 | − | 1.99631i | −0.0971663 | − | 0.0848916i | ||||
\(554\) | 5.24726 | + | 16.1494i | 0.222935 | + | 0.686122i | ||||
\(555\) | 11.9495 | − | 2.16851i | 0.507227 | − | 0.0920481i | ||||
\(556\) | 3.36434 | + | 24.8366i | 0.142680 | + | 1.05330i | ||||
\(557\) | 3.13576 | + | 0.569057i | 0.132867 | + | 0.0241117i | 0.244583 | − | 0.969628i | \(-0.421349\pi\) |
−0.111716 | + | 0.993740i | \(0.535635\pi\) | |||||||
\(558\) | 0.0756764 | − | 1.68507i | 0.00320364 | − | 0.0713345i | ||||
\(559\) | −18.6995 | − | 19.5582i | −0.790906 | − | 0.827223i | ||||
\(560\) | −0.462240 | + | 0.483465i | −0.0195332 | + | 0.0204301i | ||||
\(561\) | 0.331239 | + | 7.37560i | 0.0139849 | + | 0.311398i | ||||
\(562\) | −1.18382 | + | 8.73933i | −0.0499366 | + | 0.368647i | ||||
\(563\) | 2.35790 | − | 7.25687i | 0.0993736 | − | 0.305841i | −0.888995 | − | 0.457917i | \(-0.848596\pi\) |
0.988369 | + | 0.152076i | \(0.0485959\pi\) | |||||||
\(564\) | −12.2734 | + | 7.33301i | −0.516803 | + | 0.308775i | ||||
\(565\) | −14.7372 | + | 34.4793i | −0.619998 | + | 1.45056i | ||||
\(566\) | 2.04678 | − | 0.564875i | 0.0860325 | − | 0.0237435i | ||||
\(567\) | 0.805591 | 0.0338316 | ||||||||
\(568\) | −1.04333 | − | 21.4994i | −0.0437772 | − | 0.902095i | ||||
\(569\) | 22.1159 | 0.927147 | 0.463573 | − | 0.886059i | \(-0.346567\pi\) | ||||
0.463573 | + | 0.886059i | \(0.346567\pi\) | |||||||
\(570\) | 12.9443 | − | 3.57240i | 0.542177 | − | 0.149631i | ||||
\(571\) | −3.84327 | + | 8.99178i | −0.160836 | + | 0.376294i | −0.980491 | − | 0.196563i | \(-0.937022\pi\) |
0.819655 | + | 0.572857i | \(0.194165\pi\) | |||||||
\(572\) | 6.35622 | − | 3.79766i | 0.265767 | − | 0.158788i | ||||
\(573\) | 5.24648 | − | 16.1470i | 0.219175 | − | 0.674551i | ||||
\(574\) | 0.327147 | − | 2.41509i | 0.0136548 | − | 0.100804i | ||||
\(575\) | 0.0368573 | + | 0.820692i | 0.00153706 | + | 0.0342252i | ||||
\(576\) | 2.33220 | − | 2.43929i | 0.0971751 | − | 0.101637i | ||||
\(577\) | −14.5169 | − | 15.1834i | −0.604345 | − | 0.632095i | 0.347863 | − | 0.937545i | \(-0.386907\pi\) |
−0.952208 | + | 0.305450i | \(0.901193\pi\) | |||||||
\(578\) | −0.0582163 | + | 1.29629i | −0.00242148 | + | 0.0539184i | ||||
\(579\) | −9.21748 | − | 1.67273i | −0.383065 | − | 0.0695161i | ||||
\(580\) | −0.199595 | − | 1.47347i | −0.00828773 | − | 0.0611824i | ||||
\(581\) | −1.39109 | + | 0.252446i | −0.0577122 | + | 0.0104732i | ||||
\(582\) | 0.870423 | + | 2.67889i | 0.0360802 | + | 0.111043i | ||||
\(583\) | 7.15094 | + | 6.24759i | 0.296162 | + | 0.258749i | ||||
\(584\) | 14.7362 | − | 27.3844i | 0.609787 | − | 1.13317i | ||||
\(585\) | −8.85335 | + | 6.43233i | −0.366041 | + | 0.265944i | ||||
\(586\) | 11.3343 | + | 6.77193i | 0.468216 | + | 0.279746i | ||||
\(587\) | −7.01870 | + | 6.13205i | −0.289693 | + | 0.253097i | −0.790500 | − | 0.612462i | \(-0.790179\pi\) |
0.500807 | + | 0.865559i | \(0.333036\pi\) | |||||||
\(588\) | −2.76166 | − | 12.0996i | −0.113889 | − | 0.498980i | ||||
\(589\) | 10.5836 | + | 3.97209i | 0.436089 | + | 0.163667i | ||||
\(590\) | −13.3835 | + | 1.20454i | −0.550991 | + | 0.0495900i | ||||
\(591\) | −16.8929 | − | 21.1830i | −0.694879 | − | 0.871351i | ||||
\(592\) | 1.93762 | + | 4.53328i | 0.0796356 | + | 0.186317i | ||||
\(593\) | 32.5530 | + | 23.6512i | 1.33679 | + | 0.971237i | 0.999555 | + | 0.0298175i | \(0.00949262\pi\) |
0.337238 | + | 0.941420i | \(0.390507\pi\) | |||||||
\(594\) | −5.07298 | + | 2.44302i | −0.208147 | + | 0.100238i | ||||
\(595\) | 2.67166 | − | 1.00269i | 0.109527 | − | 0.0411063i | ||||
\(596\) | −6.54890 | − | 9.92116i | −0.268253 | − | 0.406387i | ||||
\(597\) | −28.6149 | − | 2.57539i | −1.17113 | − | 0.105404i | ||||
\(598\) | −2.18235 | − | 1.05096i | −0.0892427 | − | 0.0429770i | ||||
\(599\) | −20.0057 | − | 37.1768i | −0.817411 | − | 1.51900i | −0.854357 | − | 0.519687i | \(-0.826049\pi\) |
0.0369458 | − | 0.999317i | \(-0.488237\pi\) | |||||||
\(600\) | −0.655207 | + | 2.87065i | −0.0267487 | + | 0.117194i | ||||
\(601\) | −6.62701 | + | 10.0395i | −0.270321 | + | 0.409519i | −0.944226 | − | 0.329299i | \(-0.893187\pi\) |
0.673904 | + | 0.738819i | \(0.264616\pi\) | |||||||
\(602\) | −1.10019 | + | 1.37959i | −0.0448403 | + | 0.0562280i | ||||
\(603\) | −8.75823 | − | 2.41712i | −0.356663 | − | 0.0984326i | ||||
\(604\) | −20.4954 | − | 5.65638i | −0.833948 | − | 0.230155i | ||||
\(605\) | 11.4566 | − | 14.3661i | 0.465775 | − | 0.584064i | ||||
\(606\) | 1.17261 | − | 1.77643i | 0.0476342 | − | 0.0721627i | ||||
\(607\) | −2.69989 | + | 11.8290i | −0.109585 | + | 0.480124i | 0.890117 | + | 0.455732i | \(0.150622\pi\) |
−0.999702 | + | 0.0243927i | \(0.992235\pi\) | |||||||
\(608\) | 20.1547 | + | 37.4538i | 0.817383 | + | 1.51895i | ||||
\(609\) | −0.185077 | − | 0.0891283i | −0.00749969 | − | 0.00361166i | ||||
\(610\) | −17.0021 | − | 1.53022i | −0.688395 | − | 0.0619566i | ||||
\(611\) | −16.2122 | − | 24.5605i | −0.655877 | − | 0.993611i | ||||
\(612\) | 8.62028 | − | 3.23524i | 0.348454 | − | 0.130777i | ||||
\(613\) | 25.6484 | − | 12.3516i | 1.03593 | − | 0.498876i | 0.162949 | − | 0.986635i | \(-0.447900\pi\) |
0.872979 | + | 0.487758i | \(0.162185\pi\) | |||||||
\(614\) | −7.35942 | − | 5.34693i | −0.297002 | − | 0.215785i | ||||
\(615\) | −9.91105 | − | 23.1881i | −0.399652 | − | 0.935033i | ||||
\(616\) | −0.715557 | − | 0.897281i | −0.0288306 | − | 0.0361525i | ||||
\(617\) | 13.7414 | − | 1.23675i | 0.553207 | − | 0.0497896i | 0.190491 | − | 0.981689i | \(-0.438992\pi\) |
0.362717 | + | 0.931899i | \(0.381849\pi\) | |||||||
\(618\) | 11.6582 | + | 4.37538i | 0.468960 | + | 0.176004i | ||||
\(619\) | 1.31121 | + | 5.74477i | 0.0527019 | + | 0.230902i | 0.994419 | − | 0.105504i | \(-0.0336457\pi\) |
−0.941717 | + | 0.336406i | \(0.890789\pi\) | |||||||
\(620\) | 3.43719 | − | 3.00298i | 0.138041 | − | 0.120603i | ||||
\(621\) | −4.19566 | − | 2.50679i | −0.168366 | − | 0.100594i | ||||
\(622\) | −2.33836 | + | 1.69892i | −0.0937598 | + | 0.0681205i | ||||
\(623\) | 1.56774 | − | 2.91335i | 0.0628103 | − | 0.116721i | ||||
\(624\) | 3.51127 | + | 3.06771i | 0.140563 | + | 0.122807i | ||||
\(625\) | −6.02131 | − | 18.5317i | −0.240853 | − | 0.741268i | ||||
\(626\) | 0.749247 | − | 0.135968i | 0.0299459 | − | 0.00543439i | ||||
\(627\) | −1.66099 | − | 12.2619i | −0.0663336 | − | 0.489694i | ||||
\(628\) | 20.4795 | + | 3.71647i | 0.817219 | + | 0.148303i | ||||
\(629\) | 0.943626 | − | 21.0115i | 0.0376248 | − | 0.837782i | ||||
\(630\) | 0.493164 | + | 0.515810i | 0.0196481 | + | 0.0205503i | ||||
\(631\) | 0.834404 | − | 0.872718i | 0.0332171 | − | 0.0347424i | −0.705978 | − | 0.708234i | \(-0.749492\pi\) |
0.739195 | + | 0.673492i | \(0.235206\pi\) | |||||||
\(632\) | 1.06464 | + | 23.7061i | 0.0423492 | + | 0.942978i | ||||
\(633\) | 4.29065 | − | 31.6748i | 0.170538 | − | 1.25896i | ||||
\(634\) | −2.81593 | + | 8.66654i | −0.111835 | + | 0.344192i | ||||
\(635\) | 23.3001 | − | 13.9212i | 0.924636 | − | 0.552444i | ||||
\(636\) | −4.88499 | + | 11.4290i | −0.193703 | + | 0.453190i | ||||
\(637\) | 24.6253 | − | 6.79616i | 0.975692 | − | 0.269274i | ||||
\(638\) | 0.516387 | 0.0204440 | ||||||||
\(639\) | 12.3334 | − | 0.0445291i | 0.487902 | − | 0.00176154i | ||||
\(640\) | 20.2030 | 0.798595 | ||||||||
\(641\) | 5.45228 | − | 1.50473i | 0.215352 | − | 0.0594334i | −0.156696 | − | 0.987647i | \(-0.550084\pi\) |
0.372048 | + | 0.928214i | \(0.378656\pi\) | |||||||
\(642\) | 2.31454 | − | 5.41513i | 0.0913476 | − | 0.213718i | ||||
\(643\) | 7.12833 | − | 4.25898i | 0.281114 | − | 0.167958i | −0.365421 | − | 0.930843i | \(-0.619075\pi\) |
0.646534 | + | 0.762885i | \(0.276218\pi\) | |||||||
\(644\) | 0.129516 | − | 0.398610i | 0.00510365 | − | 0.0157074i | ||||
\(645\) | −2.45084 | + | 18.0928i | −0.0965017 | + | 0.712404i | ||||
\(646\) | −1.04336 | − | 23.2322i | −0.0410503 | − | 0.914057i | ||||
\(647\) | 12.4462 | − | 13.0177i | 0.489309 | − | 0.511777i | −0.431329 | − | 0.902195i | \(-0.641955\pi\) |
0.920638 | + | 0.390418i | \(0.127669\pi\) | |||||||
\(648\) | −4.35399 | − | 4.55392i | −0.171041 | − | 0.178895i | ||||
\(649\) | −0.555542 | + | 12.3701i | −0.0218070 | + | 0.485569i | ||||
\(650\) | −2.50893 | − | 0.455303i | −0.0984082 | − | 0.0178585i | ||||
\(651\) | −0.0846408 | − | 0.624844i | −0.00331734 | − | 0.0244896i | ||||
\(652\) | −18.7706 | + | 3.40636i | −0.735112 | + | 0.133403i | ||||
\(653\) | −11.1234 | − | 34.2343i | −0.435292 | − | 1.33969i | −0.892787 | − | 0.450479i | \(-0.851253\pi\) |
0.457495 | − | 0.889212i | \(-0.348747\pi\) | |||||||
\(654\) | 6.13639 | + | 5.36120i | 0.239952 | + | 0.209640i | ||||
\(655\) | −12.5774 | + | 23.3727i | −0.491440 | + | 0.913248i | ||||
\(656\) | 8.28172 | − | 6.01702i | 0.323347 | − | 0.234925i | ||||
\(657\) | 15.2964 | + | 9.13918i | 0.596770 | + | 0.356553i | ||||
\(658\) | −1.44522 | + | 1.26265i | −0.0563404 | + | 0.0492232i | ||||
\(659\) | 2.21194 | + | 9.69114i | 0.0861649 | + | 0.377513i | 0.999563 | − | 0.0295540i | \(-0.00940869\pi\) |
−0.913398 | + | 0.407067i | \(0.866552\pi\) | |||||||
\(660\) | −4.67747 | − | 1.75548i | −0.182070 | − | 0.0683320i | ||||
\(661\) | 8.27421 | − | 0.744693i | 0.321830 | − | 0.0289652i | 0.0724531 | − | 0.997372i | \(-0.476917\pi\) |
0.249376 | + | 0.968407i | \(0.419774\pi\) | |||||||
\(662\) | −11.7841 | − | 14.7768i | −0.458002 | − | 0.574316i | ||||
\(663\) | −7.81798 | − | 18.2911i | −0.303625 | − | 0.710366i | ||||
\(664\) | 8.94551 | + | 6.49929i | 0.347153 | + | 0.252221i | ||||
\(665\) | −4.30901 | + | 2.07511i | −0.167096 | + | 0.0804694i | ||||
\(666\) | 4.92444 | − | 1.84817i | 0.190818 | − | 0.0716153i | ||||
\(667\) | 0.246932 | + | 0.374087i | 0.00956126 | + | 0.0144847i | ||||
\(668\) | 6.94142 | + | 0.624739i | 0.268571 | + | 0.0241719i | ||||
\(669\) | 7.95682 | + | 3.83180i | 0.307629 | + | 0.148146i | ||||
\(670\) | 4.39059 | + | 8.15908i | 0.169623 | + | 0.315213i | ||||
\(671\) | −3.50037 | + | 15.3361i | −0.135130 | + | 0.592045i | ||||
\(672\) | 1.30696 | − | 1.97995i | 0.0504169 | − | 0.0763784i | ||||
\(673\) | 6.79979 | − | 8.52666i | 0.262113 | − | 0.328679i | −0.633308 | − | 0.773900i | \(-0.718303\pi\) |
0.895421 | + | 0.445221i | \(0.146875\pi\) | |||||||
\(674\) | 0.475804 | + | 0.131313i | 0.0183273 | + | 0.00505801i | ||||
\(675\) | −4.95971 | − | 1.36879i | −0.190899 | − | 0.0526849i | ||||
\(676\) | −0.664492 | + | 0.833247i | −0.0255574 | + | 0.0320480i | ||||
\(677\) | −0.457358 | + | 0.692867i | −0.0175777 | + | 0.0266291i | −0.843256 | − | 0.537512i | \(-0.819364\pi\) |
0.825678 | + | 0.564141i | \(0.190793\pi\) | |||||||
\(678\) | 3.79287 | − | 16.6176i | 0.145664 | − | 0.638196i | ||||
\(679\) | −0.475397 | − | 0.883435i | −0.0182441 | − | 0.0339031i | ||||
\(680\) | −20.1077 | − | 9.68334i | −0.771094 | − | 0.371339i | ||||
\(681\) | −1.38685 | − | 0.124818i | −0.0531441 | − | 0.00478305i | ||||
\(682\) | 0.873219 | + | 1.32287i | 0.0334373 | + | 0.0506553i | ||||
\(683\) | −32.0669 | + | 12.0349i | −1.22701 | + | 0.460503i | −0.878924 | − | 0.476962i | \(-0.841738\pi\) |
−0.348081 | + | 0.937464i | \(0.613167\pi\) | |||||||
\(684\) | −13.9033 | + | 6.69549i | −0.531607 | + | 0.256008i | ||||
\(685\) | 8.65516 | + | 6.28834i | 0.330697 | + | 0.240265i | ||||
\(686\) | −1.31961 | − | 3.08737i | −0.0503828 | − | 0.117876i | ||||
\(687\) | 11.5998 | + | 14.5457i | 0.442559 | + | 0.554952i | ||||
\(688\) | −7.38187 | + | 0.664380i | −0.281431 | + | 0.0253292i | ||||
\(689\) | −23.9525 | − | 8.98953i | −0.912518 | − | 0.342474i | ||||
\(690\) | 0.363685 | + | 1.59341i | 0.0138453 | + | 0.0606601i | ||||
\(691\) | −6.11230 | + | 5.34015i | −0.232523 | + | 0.203149i | −0.766312 | − | 0.642468i | \(-0.777910\pi\) |
0.533789 | + | 0.845617i | \(0.320767\pi\) | |||||||
\(692\) | 27.7816 | + | 16.5987i | 1.05610 | + | 0.630990i | ||||
\(693\) | 0.532012 | − | 0.386529i | 0.0202095 | − | 0.0146830i | ||||
\(694\) | 2.79112 | − | 5.18677i | 0.105950 | − | 0.196887i | ||||
\(695\) | 26.2144 | + | 22.9028i | 0.994368 | + | 0.868753i | ||||
\(696\) | 0.496456 | + | 1.52793i | 0.0188181 | + | 0.0579162i | ||||
\(697\) | −42.9707 | + | 7.79803i | −1.62763 | + | 0.295372i | ||||
\(698\) | −0.529236 | − | 3.90698i | −0.0200319 | − | 0.147881i | ||||
\(699\) | −19.5502 | − | 3.54784i | −0.739457 | − | 0.134192i | ||||
\(700\) | 0.0197951 | − | 0.440772i | 0.000748185 | − | 0.0166596i | ||||
\(701\) | 4.08756 | + | 4.27525i | 0.154385 | + | 0.161474i | 0.795464 | − | 0.606001i | \(-0.207227\pi\) |
−0.641079 | + | 0.767475i | \(0.721513\pi\) | |||||||
\(702\) | 10.4836 | − | 10.9650i | 0.395678 | − | 0.413846i | ||||
\(703\) | 1.58151 | + | 35.2151i | 0.0596478 | + | 1.32816i | ||||
\(704\) | −0.425704 | + | 3.14267i | −0.0160443 | + | 0.118444i | ||||
\(705\) | −6.13615 | + | 18.8851i | −0.231101 | + | 0.711255i | ||||
\(706\) | 6.66964 | − | 3.98492i | 0.251015 | − | 0.149975i | ||||
\(707\) | −0.297958 | + | 0.697107i | −0.0112059 | + | 0.0262174i | ||||
\(708\) | −15.6239 | + | 4.31191i | −0.587180 | + | 0.162052i | ||||
\(709\) | −22.4728 | −0.843982 | −0.421991 | − | 0.906600i | \(-0.638669\pi\) | ||||
−0.421991 | + | 0.906600i | \(0.638669\pi\) | |||||||
\(710\) | −8.72461 | − | 9.05952i | −0.327429 | − | 0.339998i | ||||
\(711\) | −13.5971 | −0.509931 | ||||||||
\(712\) | −24.9421 | + | 6.88358i | −0.934744 | + | 0.257973i | ||||
\(713\) | −0.540761 | + | 1.26517i | −0.0202517 | + | 0.0473811i | ||||
\(714\) | −1.11356 | + | 0.665320i | −0.0416739 | + | 0.0248990i | ||||
\(715\) | 3.17783 | − | 9.78035i | 0.118844 | − | 0.365764i | ||||
\(716\) | −0.460458 | + | 3.39924i | −0.0172081 | + | 0.127035i | ||||
\(717\) | 0.414246 | + | 9.22391i | 0.0154703 | + | 0.344473i | ||||
\(718\) | 11.6031 | − | 12.1359i | 0.433023 | − | 0.452907i | ||||
\(719\) | 2.21702 | + | 2.31883i | 0.0826810 | + | 0.0864776i | 0.762841 | − | 0.646586i | \(-0.223804\pi\) |
−0.680160 | + | 0.733064i | \(0.738090\pi\) | |||||||
\(720\) | −0.134481 | + | 2.99445i | −0.00501181 | + | 0.111597i | ||||
\(721\) | −4.36374 | − | 0.791902i | −0.162514 | − | 0.0294920i | ||||
\(722\) | 3.34487 | + | 24.6928i | 0.124483 | + | 0.918971i | ||||
\(723\) | 28.0822 | − | 5.09616i | 1.04439 | − | 0.189528i | ||||
\(724\) | 1.37631 | + | 4.23585i | 0.0511501 | + | 0.157424i | ||||
\(725\) | 0.355348 | + | 0.310459i | 0.0131973 | + | 0.0115301i | ||||
\(726\) | −3.95809 | + | 7.35536i | −0.146898 | + | 0.272983i | ||||
\(727\) | −0.332383 | + | 0.241491i | −0.0123274 | + | 0.00895639i | −0.593932 | − | 0.804515i | \(-0.702425\pi\) |
0.581604 | + | 0.813472i | \(0.302425\pi\) | |||||||
\(728\) | 2.65441 | + | 1.58594i | 0.0983791 | + | 0.0587788i | ||||
\(729\) | 18.2113 | − | 15.9107i | 0.674493 | − | 0.589287i | ||||
\(730\) | −4.04348 | − | 17.7156i | −0.149656 | − | 0.655685i | ||||
\(731\) | 29.6039 | + | 11.1105i | 1.09494 | + | 0.410937i | ||||
\(732\) | −20.5073 | + | 1.84569i | −0.757971 | + | 0.0682187i | ||||
\(733\) | 23.2135 | + | 29.1088i | 0.857411 | + | 1.07516i | 0.996392 | + | 0.0848648i | \(0.0270458\pi\) |
−0.138981 | + | 0.990295i | \(0.544383\pi\) | |||||||
\(734\) | 1.46706 | + | 3.43236i | 0.0541501 | + | 0.126691i | ||||
\(735\) | −13.9451 | − | 10.1317i | −0.514372 | − | 0.373713i | ||||
\(736\) | −4.66408 | + | 2.24610i | −0.171920 | + | 0.0827924i | ||||
\(737\) | 7.99354 | − | 3.00002i | 0.294446 | − | 0.110507i | ||||
\(738\) | −6.01668 | − | 9.11489i | −0.221477 | − | 0.335524i | ||||
\(739\) | −4.16758 | − | 0.375089i | −0.153307 | − | 0.0137979i | 0.0127199 | − | 0.999919i | \(-0.495951\pi\) |
−0.166027 | + | 0.986121i | \(0.553094\pi\) | |||||||
\(740\) | 12.8231 | + | 6.17530i | 0.471388 | + | 0.227008i | ||||
\(741\) | 15.7981 | + | 29.3578i | 0.580357 | + | 1.07848i | ||||
\(742\) | −0.371246 | + | 1.62653i | −0.0136289 | + | 0.0597119i | ||||
\(743\) | −19.5858 | + | 29.6712i | −0.718533 | + | 1.08853i | 0.273417 | + | 0.961896i | \(0.411846\pi\) |
−0.991949 | + | 0.126635i | \(0.959582\pi\) | |||||||
\(744\) | −3.07472 | + | 3.85557i | −0.112725 | + | 0.141352i | ||||
\(745\) | −15.9156 | − | 4.39242i | −0.583101 | − | 0.160926i | ||||
\(746\) | 2.15170 | + | 0.593832i | 0.0787795 | + | 0.0217418i | ||||
\(747\) | −3.95026 | + | 4.95346i | −0.144532 | + | 0.181238i | ||||
\(748\) | −4.76656 | + | 7.22103i | −0.174283 | + | 0.264027i | ||||
\(749\) | −0.466729 | + | 2.04488i | −0.0170539 | + | 0.0747181i | ||||
\(750\) | 5.19890 | + | 9.66117i | 0.189837 | + | 0.352776i | ||||
\(751\) | −36.2586 | − | 17.4612i | −1.32309 | − | 0.637169i | −0.366999 | − | 0.930222i | \(-0.619615\pi\) |
−0.956096 | + | 0.293053i | \(0.905329\pi\) | |||||||
\(752\) | −8.02833 | − | 0.722563i | −0.292763 | − | 0.0263492i | ||||
\(753\) | 11.1770 | + | 16.9324i | 0.407313 | + | 0.617053i | ||||
\(754\) | −1.30256 | + | 0.488861i | −0.0474366 | + | 0.0178033i | ||||
\(755\) | −26.6055 | + | 12.8125i | −0.968271 | + | 0.466295i | ||||
\(756\) | 2.12362 | + | 1.54290i | 0.0772355 | + | 0.0561149i | ||||
\(757\) | 19.5832 | + | 45.8172i | 0.711763 | + | 1.66525i | 0.746092 | + | 0.665843i | \(0.231928\pi\) |
−0.0343285 | + | 0.999411i | \(0.510929\pi\) | |||||||
\(758\) | −10.6788 | − | 13.3907i | −0.387870 | − | 0.486373i | ||||
\(759\) | 1.50000 | − | 0.135003i | 0.0544467 | − | 0.00490029i | ||||
\(760\) | 35.0194 | + | 13.1430i | 1.27029 | + | 0.476747i | ||||
\(761\) | 1.46492 | + | 6.41825i | 0.0531034 | + | 0.232661i | 0.994514 | − | 0.104601i | \(-0.0333564\pi\) |
−0.941411 | + | 0.337262i | \(0.890499\pi\) | |||||||
\(762\) | −9.29142 | + | 8.11767i | −0.336593 | + | 0.294072i | ||||
\(763\) | −2.49139 | − | 1.48853i | −0.0901942 | − | 0.0538885i | ||||
\(764\) | 16.0969 | − | 11.6951i | 0.582367 | − | 0.423114i | ||||
\(765\) | 6.05980 | − | 11.2610i | 0.219092 | − | 0.407142i | ||||
\(766\) | −4.65461 | − | 4.06661i | −0.168178 | − | 0.146933i | ||||
\(767\) | −10.3094 | − | 31.7290i | −0.372250 | − | 1.14567i | ||||
\(768\) | −14.6598 | + | 2.66037i | −0.528992 | + | 0.0959978i | ||||
\(769\) | −3.64074 | − | 26.8770i | −0.131288 | − | 0.969210i | −0.930017 | − | 0.367518i | \(-0.880208\pi\) |
0.798728 | − | 0.601692i | \(-0.205507\pi\) | |||||||
\(770\) | −0.659837 | − | 0.119743i | −0.0237789 | − | 0.00431523i | ||||
\(771\) | −1.31917 | + | 29.3737i | −0.0475089 | + | 1.05787i | ||||
\(772\) | −7.58692 | − | 7.93529i | −0.273059 | − | 0.285598i | ||||
\(773\) | 11.9667 | − | 12.5162i | 0.430411 | − | 0.450175i | −0.471648 | − | 0.881787i | \(-0.656341\pi\) |
0.902059 | + | 0.431612i | \(0.142055\pi\) | |||||||
\(774\) | 0.354771 | + | 7.89959i | 0.0127520 | + | 0.283945i | ||||
\(775\) | −0.194427 | + | 1.43532i | −0.00698401 | + | 0.0515581i | ||||
\(776\) | −2.42458 | + | 7.46209i | −0.0870373 | + | 0.267873i | ||||
\(777\) | 1.68792 | − | 1.00849i | 0.0605538 | − | 0.0361792i | ||||
\(778\) | 0.806038 | − | 1.88582i | 0.0288979 | − | 0.0676099i | ||||
\(779\) | 70.5572 | − | 19.4725i | 2.52797 | − | 0.697676i | ||||
\(780\) | 13.4606 | 0.481967 | ||||||||
\(781\) | −9.35186 | + | 6.84625i | −0.334636 | + | 0.244978i | ||||
\(782\) | 2.83051 | 0.101219 | ||||||||
\(783\) | −2.70612 | + | 0.746841i | −0.0967088 | + | 0.0266899i | ||||
\(784\) | 2.75009 | − | 6.43415i | 0.0982175 | − | 0.229791i | ||||
\(785\) | 24.8160 | − | 14.8269i | 0.885723 | − | 0.529195i | ||||
\(786\) | 3.72836 | − | 11.4747i | 0.132986 | − | 0.409290i | ||||
\(787\) | 1.40135 | − | 10.3451i | 0.0499526 | − | 0.368765i | −0.948669 | − | 0.316271i | \(-0.897569\pi\) |
0.998621 | − | 0.0524931i | \(-0.0167168\pi\) | |||||||
\(788\) | −1.42456 | − | 31.7202i | −0.0507477 | − | 1.12999i | ||||
\(789\) | 15.3736 | − | 16.0795i | 0.547315 | − | 0.572447i | ||||
\(790\) | 9.58236 | + | 10.0224i | 0.340925 | + | 0.356580i | ||||
\(791\) | −0.272366 | + | 6.06470i | −0.00968422 | + | 0.215636i | ||||
\(792\) | −5.06038 | − | 0.918324i | −0.179813 | − | 0.0326312i | ||||
\(793\) | −5.68909 | − | 41.9986i | −0.202026 | − | 1.49141i | ||||
\(794\) | −5.92031 | + | 1.07438i | −0.210104 | + | 0.0381282i | ||||
\(795\) | 5.33445 | + | 16.4178i | 0.189194 | + | 0.582278i | ||||
\(796\) | −25.3560 | − | 22.1529i | −0.898719 | − | 0.785187i | ||||
\(797\) | −20.7179 | + | 38.5003i | −0.733866 | + | 1.36375i | 0.190287 | + | 0.981729i | \(0.439058\pi\) |
−0.924153 | + | 0.382023i | \(0.875227\pi\) | |||||||
\(798\) | 1.75885 | − | 1.27788i | 0.0622626 | − | 0.0452364i | ||||
\(799\) | 29.5214 | + | 17.6382i | 1.04439 | + | 0.623996i | ||||
\(800\) | −4.10396 | + | 3.58552i | −0.145097 | + | 0.126767i | ||||
\(801\) | −3.29907 | − | 14.4542i | −0.116567 | − | 0.510713i | ||||
\(802\) | −12.7086 | − | 4.76961i | −0.448756 | − | 0.168421i | ||||
\(803\) | −16.6771 | + | 1.50097i | −0.588524 | + | 0.0529681i | ||||
\(804\) | 6.96787 | + | 8.73744i | 0.245738 | + | 0.308146i | ||||
\(805\) | −0.228784 | − | 0.535266i | −0.00806357 | − | 0.0188657i | ||||
\(806\) | −3.45501 | − | 2.51021i | −0.121698 | − | 0.0884185i | ||||
\(807\) | 26.1230 | − | 12.5802i | 0.919573 | − | 0.442843i | ||||
\(808\) | 5.55105 | − | 2.08334i | 0.195285 | − | 0.0732918i | ||||
\(809\) | 4.27540 | + | 6.47695i | 0.150315 | + | 0.227717i | 0.901928 | − | 0.431887i | \(-0.142152\pi\) |
−0.751613 | + | 0.659605i | \(0.770724\pi\) | |||||||
\(810\) | −3.66671 | − | 0.330009i | −0.128835 | − | 0.0115954i | ||||
\(811\) | −33.5375 | − | 16.1508i | −1.17766 | − | 0.567132i | −0.260433 | − | 0.965492i | \(-0.583865\pi\) |
−0.917229 | + | 0.398359i | \(0.869580\pi\) | |||||||
\(812\) | −0.114077 | − | 0.211992i | −0.00400334 | − | 0.00743944i | ||||
\(813\) | 2.74388 | − | 12.0217i | 0.0962320 | − | 0.421620i | ||||
\(814\) | −2.72296 | + | 4.12510i | −0.0954396 | + | 0.144585i | ||||
\(815\) | −16.5199 | + | 20.7153i | −0.578666 | + | 0.725624i | ||||
\(816\) | −5.25217 | − | 1.44951i | −0.183863 | − | 0.0507429i | ||||
\(817\) | −51.0853 | − | 14.0987i | −1.78725 | − | 0.493250i | ||||
\(818\) | 8.25593 | − | 10.3526i | 0.288662 | − | 0.361970i | ||||
\(819\) | −0.976052 | + | 1.47866i | −0.0341060 | + | 0.0516684i | ||||
\(820\) | 6.57612 | − | 28.8119i | 0.229648 | − | 1.00615i | ||||
\(821\) | −4.10430 | − | 7.62706i | −0.143241 | − | 0.266186i | 0.798859 | − | 0.601518i | \(-0.205437\pi\) |
−0.942100 | + | 0.335332i | \(0.891152\pi\) | |||||||
\(822\) | −4.38157 | − | 2.11005i | −0.152825 | − | 0.0735966i | ||||
\(823\) | 37.2732 | + | 3.35465i | 1.29926 | + | 0.116936i | 0.717578 | − | 0.696478i | \(-0.245251\pi\) |
0.581685 | + | 0.813414i | \(0.302394\pi\) | |||||||
\(824\) | 19.1083 | + | 28.9478i | 0.665668 | + | 1.00844i | ||||
\(825\) | 1.48436 | − | 0.557090i | 0.0516788 | − | 0.0193954i | ||||
\(826\) | −1.96013 | + | 0.943948i | −0.0682016 | + | 0.0328442i | ||||
\(827\) | −19.1092 | − | 13.8836i | −0.664491 | − | 0.482781i | 0.203685 | − | 0.979036i | \(-0.434708\pi\) |
−0.868177 | + | 0.496255i | \(0.834708\pi\) | |||||||
\(828\) | −0.738186 | − | 1.72707i | −0.0256537 | − | 0.0600199i | ||||
\(829\) | 2.19167 | + | 2.74827i | 0.0761199 | + | 0.0954514i | 0.818433 | − | 0.574601i | \(-0.194843\pi\) |
−0.742313 | + | 0.670053i | \(0.766271\pi\) | |||||||
\(830\) | 6.43507 | − | 0.579166i | 0.223364 | − | 0.0201032i | ||||
\(831\) | 26.6320 | + | 9.99517i | 0.923855 | + | 0.346729i | ||||
\(832\) | −1.90133 | − | 8.33027i | −0.0659167 | − | 0.288800i | ||||
\(833\) | −22.4806 | + | 19.6407i | −0.778908 | + | 0.680511i | ||||
\(834\) | −13.5838 | − | 8.11593i | −0.470368 | − | 0.281032i | ||||
\(835\) | 7.83107 | − | 5.68961i | 0.271006 | − | 0.196897i | ||||
\(836\) | 6.87171 | − | 12.7698i | 0.237663 | − | 0.441652i | ||||
\(837\) | −6.48934 | − | 5.66956i | −0.224304 | − | 0.195969i | ||||
\(838\) | −1.80577 | − | 5.55759i | −0.0623793 | − | 0.191984i | ||||
\(839\) | 39.9512 | − | 7.25007i | 1.37927 | − | 0.250300i | 0.562276 | − | 0.826950i | \(-0.309926\pi\) |
0.816992 | + | 0.576649i | \(0.195640\pi\) | |||||||
\(840\) | −0.280063 | − | 2.06751i | −0.00966309 | − | 0.0713358i | ||||
\(841\) | −28.2806 | − | 5.13218i | −0.975194 | − | 0.176972i | ||||
\(842\) | −0.165081 | + | 3.67581i | −0.00568906 | + | 0.126677i | ||||
\(843\) | 10.2097 | + | 10.6785i | 0.351641 | + | 0.367788i | ||||
\(844\) | 25.8869 | − | 27.0756i | 0.891064 | − | 0.931980i | ||||
\(845\) | 0.0664095 | + | 1.47872i | 0.00228456 | + | 0.0508696i | ||||
\(846\) | −1.15441 | + | 8.52222i | −0.0396896 | + | 0.293000i | ||||
\(847\) | 0.919306 | − | 2.82933i | 0.0315877 | − | 0.0972170i | ||||
\(848\) | −6.01569 | + | 3.59421i | −0.206580 | + | 0.123426i | ||||
\(849\) | 1.39798 | − | 3.27073i | 0.0479785 | − | 0.112251i | ||||
\(850\) | 2.87233 | − | 0.792713i | 0.0985202 | − | 0.0271898i | ||||
\(851\) | −4.29045 | −0.147075 | ||||||||
\(852\) | −12.3053 | − | 8.87264i | −0.421574 | − | 0.303972i | ||||
\(853\) | 7.74679 | 0.265245 | 0.132623 | − | 0.991167i | \(-0.457660\pi\) | ||||
0.132623 | + | 0.991167i | \(0.457660\pi\) | |||||||
\(854\) | −2.66420 | + | 0.735274i | −0.0911672 | + | 0.0251605i | ||||
\(855\) | −8.42350 | + | 19.7078i | −0.288078 | + | 0.673991i | ||||
\(856\) | 14.0820 | − | 8.41361i | 0.481313 | − | 0.287571i | ||||
\(857\) | 6.64729 | − | 20.4583i | 0.227067 | − | 0.698841i | −0.771008 | − | 0.636825i | \(-0.780247\pi\) |
0.998075 | − | 0.0620155i | \(-0.0197528\pi\) | |||||||
\(858\) | −0.627496 | + | 4.63236i | −0.0214224 | + | 0.158146i | ||||
\(859\) | 1.85389 | + | 41.2800i | 0.0632538 | + | 1.40845i | 0.740182 | + | 0.672406i | \(0.234739\pi\) |
−0.676929 | + | 0.736049i | \(0.736689\pi\) | |||||||
\(860\) | −14.7867 | + | 15.4657i | −0.504223 | + | 0.527376i | ||||
\(861\) | −2.82143 | − | 2.95099i | −0.0961542 | − | 0.100569i | ||||
\(862\) | 0.0187334 | − | 0.417132i | 0.000638063 | − | 0.0142076i | ||||
\(863\) | −40.0461 | − | 7.26730i | −1.36319 | − | 0.247382i | −0.552817 | − | 0.833303i | \(-0.686447\pi\) |
−0.810368 | + | 0.585921i | \(0.800733\pi\) | |||||||
\(864\) | −4.35206 | − | 32.1282i | −0.148060 | − | 1.09302i | ||||
\(865\) | 44.2253 | − | 8.02571i | 1.50371 | − | 0.272882i | ||||
\(866\) | 1.47297 | + | 4.53335i | 0.0500537 | + | 0.154049i | ||||
\(867\) | 1.63698 | + | 1.43019i | 0.0555949 | + | 0.0485718i | ||||
\(868\) | 0.350169 | − | 0.650723i | 0.0118855 | − | 0.0220870i | ||||
\(869\) | 10.3372 | − | 7.51040i | 0.350665 | − | 0.254773i | ||||
\(870\) | 0.805879 | + | 0.481491i | 0.0273219 | + | 0.0163241i | ||||
\(871\) | −17.3233 | + | 15.1349i | −0.586976 | + | 0.512826i | ||||
\(872\) | 5.05072 | + | 22.1287i | 0.171039 | + | 0.749371i | ||||
\(873\) | −4.20908 | − | 1.57969i | −0.142456 | − | 0.0534646i | ||||
\(874\) | −4.72481 | + | 0.425241i | −0.159819 | + | 0.0143840i | ||||
\(875\) | −2.43631 | − | 3.05504i | −0.0823623 | − | 0.103279i | ||||
\(876\) | −8.61411 | − | 20.1537i | −0.291044 | − | 0.680931i | ||||
\(877\) | 36.3604 | + | 26.4174i | 1.22780 | + | 0.892051i | 0.996723 | − | 0.0808844i | \(-0.0257745\pi\) |
0.231079 | + | 0.972935i | \(0.425774\pi\) | |||||||
\(878\) | −1.56835 | + | 0.755280i | −0.0529294 | + | 0.0254895i | ||||
\(879\) | 20.7078 | − | 7.77178i | 0.698458 | − | 0.262136i | ||||
\(880\) | −1.55176 | − | 2.35081i | −0.0523097 | − | 0.0792457i | ||||
\(881\) | −35.1354 | − | 3.16224i | −1.18374 | − | 0.106539i | −0.519777 | − | 0.854302i | \(-0.673985\pi\) |
−0.663965 | + | 0.747763i | \(0.731128\pi\) | |||||||
\(882\) | −6.72606 | − | 3.23910i | −0.226478 | − | 0.109066i | ||||
\(883\) | −15.6843 | − | 29.1463i | −0.527818 | − | 0.980850i | −0.995299 | − | 0.0968473i | \(-0.969124\pi\) |
0.467481 | − | 0.884003i | \(-0.345162\pi\) | |||||||
\(884\) | 5.18734 | − | 22.7272i | 0.174469 | − | 0.764399i | ||||
\(885\) | −12.4012 | + | 18.7869i | −0.416860 | + | 0.631516i | ||||
\(886\) | −6.35685 | + | 7.97124i | −0.213563 | + | 0.267799i | ||||
\(887\) | −17.4052 | − | 4.80352i | −0.584409 | − | 0.161287i | −0.0386846 | − | 0.999251i | \(-0.512317\pi\) |
−0.545724 | + | 0.837965i | \(0.683745\pi\) | |||||||
\(888\) | −14.8236 | − | 4.09105i | −0.497447 | − | 0.137287i | ||||
\(889\) | 2.73984 | − | 3.43565i | 0.0918913 | − | 0.115228i | ||||
\(890\) | −8.32914 | + | 12.6181i | −0.279194 | + | 0.422960i | ||||
\(891\) | −0.754898 | + | 3.30742i | −0.0252900 | + | 0.110803i | ||||
\(892\) | 4.90442 | + | 9.11394i | 0.164212 | + | 0.305157i | ||||
\(893\) | −51.9284 | − | 25.0074i | −1.73772 | − | 0.836841i | ||||
\(894\) | 7.47502 | + | 0.672764i | 0.250002 | + | 0.0225006i | ||||
\(895\) | 2.62461 | + | 3.97611i | 0.0877309 | + | 0.132907i | ||||
\(896\) | 3.06234 | − | 1.14932i | 0.102306 | − | 0.0383960i | ||||
\(897\) | −3.65589 | + | 1.76058i | −0.122067 | + | 0.0587842i | ||||
\(898\) | 21.1662 | + | 15.3781i | 0.706324 | + | 0.513174i | ||||
\(899\) | 0.310603 | + | 0.726693i | 0.0103592 | + | 0.0242366i | ||||
\(900\) | −1.23278 | − | 1.54586i | −0.0410927 | − | 0.0515286i | ||||
\(901\) | 29.7759 | − | 2.67988i | 0.991978 | − | 0.0892797i | ||||
\(902\) | 9.60882 | + | 3.60625i | 0.319939 | + | 0.120075i | ||||
\(903\) | 0.657777 | + | 2.88191i | 0.0218894 | + | 0.0959039i | ||||
\(904\) | 35.7552 | − | 31.2384i | 1.18920 | − | 1.03897i | ||||
\(905\) | 5.31021 | + | 3.17270i | 0.176517 | + | 0.105464i | ||||
\(906\) | 10.8598 | − | 7.89010i | 0.360792 | − | 0.262131i | ||||
\(907\) | 19.2227 | − | 35.7218i | 0.638280 | − | 1.18612i | −0.331803 | − | 0.943349i | \(-0.607657\pi\) |
0.970083 | − | 0.242774i | \(-0.0780575\pi\) | |||||||
\(908\) | −1.22890 | − | 1.07366i | −0.0407824 | − | 0.0356305i | ||||
\(909\) | 1.04984 | + | 3.23106i | 0.0348208 | + | 0.107168i | ||||
\(910\) | 1.77777 | − | 0.322618i | 0.0589325 | − | 0.0106947i | ||||
\(911\) | 4.20748 | + | 31.0609i | 0.139400 | + | 1.02909i | 0.916591 | + | 0.399827i | \(0.130930\pi\) |
−0.777191 | + | 0.629265i | \(0.783356\pi\) | |||||||
\(912\) | 8.98494 | + | 1.63053i | 0.297521 | + | 0.0539921i | ||||
\(913\) | 0.267116 | − | 5.94780i | 0.00884025 | − | 0.196844i | ||||
\(914\) | −16.3506 | − | 17.1014i | −0.540829 | − | 0.565663i | ||||
\(915\) | −19.7625 | + | 20.6699i | −0.653327 | + | 0.683327i | ||||
\(916\) | 0.978197 | + | 21.7812i | 0.0323205 | + | 0.719672i | ||||
\(917\) | −0.576827 | + | 4.25831i | −0.0190485 | + | 0.140622i | ||||
\(918\) | −5.47804 | + | 16.8597i | −0.180802 | + | 0.556452i | ||||
\(919\) | −1.38446 | + | 0.827175i | −0.0456690 | + | 0.0272860i | −0.535552 | − | 0.844502i | \(-0.679897\pi\) |
0.489883 | + | 0.871788i | \(0.337039\pi\) | |||||||
\(920\) | −1.78929 | + | 4.18626i | −0.0589912 | + | 0.138017i | ||||
\(921\) | −14.6898 | + | 4.05413i | −0.484046 | + | 0.133588i | ||||
\(922\) | −12.6217 | −0.415672 | ||||||||
\(923\) | 17.1084 | − | 26.1227i | 0.563129 | − | 0.859840i | ||||
\(924\) | −0.808870 | −0.0266099 | ||||||||
\(925\) | −4.35385 | + | 1.20159i | −0.143154 | + | 0.0395079i | ||||
\(926\) | 11.1000 | − | 25.9698i | 0.364770 | − | 0.853422i | ||||
\(927\) | −17.0614 | + | 10.1937i | −0.560369 | + | 0.334805i | ||||
\(928\) | −0.918839 | + | 2.82789i | −0.0301624 | + | 0.0928302i | ||||
\(929\) | −3.88611 | + | 28.6884i | −0.127499 | + | 0.941237i | 0.808317 | + | 0.588748i | \(0.200379\pi\) |
−0.935816 | + | 0.352489i | \(0.885335\pi\) | |||||||
\(930\) | 0.129282 | + | 2.87870i | 0.00423934 | + | 0.0943961i | ||||
\(931\) | 34.5750 | − | 36.1626i | 1.13315 | − | 1.18518i | ||||
\(932\) | −16.0918 | − | 16.8307i | −0.527105 | − | 0.551308i | ||||
\(933\) | −0.217235 | + | 4.83712i | −0.00711196 | + | 0.158360i | ||||
\(934\) | 5.41402 | + | 0.982499i | 0.177152 | + | 0.0321484i | ||||
\(935\) | 1.61309 | + | 11.9083i | 0.0527537 | + | 0.389443i | ||||
\(936\) | 13.6340 | − | 2.47420i | 0.445641 | − | 0.0808718i | ||||
\(937\) | 15.4462 | + | 47.5385i | 0.504605 | + | 1.55301i | 0.801433 | + | 0.598084i | \(0.204071\pi\) |
−0.296828 | + | 0.954931i | \(0.595929\pi\) | |||||||
\(938\) | 1.12968 | + | 0.986968i | 0.0368852 | + | 0.0322257i | ||||
\(939\) | 0.604489 | − | 1.12333i | 0.0197268 | − | 0.0366585i | ||||
\(940\) | −18.8266 | + | 13.6783i | −0.614055 | + | 0.446137i | ||||
\(941\) | 22.4029 | + | 13.3851i | 0.730314 | + | 0.436342i | 0.829341 | − | 0.558743i | \(-0.188716\pi\) |
−0.0990274 | + | 0.995085i | \(0.531573\pi\) | |||||||
\(942\) | −9.89594 | + | 8.64582i | −0.322427 | + | 0.281696i | ||||
\(943\) | 1.98239 | + | 8.68541i | 0.0645554 | + | 0.282836i | ||||
\(944\) | −8.55539 | − | 3.21089i | −0.278454 | − | 0.104506i | ||||
\(945\) | 3.63105 | − | 0.326800i | 0.118118 | − | 0.0106308i | ||||
\(946\) | −4.63308 | − | 5.80970i | −0.150634 | − | 0.188890i | ||||
\(947\) | −6.39650 | − | 14.9654i | −0.207858 | − | 0.486309i | 0.782867 | − | 0.622189i | \(-0.213757\pi\) |
−0.990725 | + | 0.135880i | \(0.956614\pi\) | |||||||
\(948\) | 13.5307 | + | 9.83060i | 0.439455 | + | 0.319283i | ||||
\(949\) | 40.6464 | − | 19.5743i | 1.31944 | − | 0.635408i | ||||
\(950\) | −4.67554 | + | 1.75476i | −0.151694 | + | 0.0569319i | ||||
\(951\) | 8.40968 | + | 12.7401i | 0.272703 | + | 0.413127i | ||||
\(952\) | −3.59876 | − | 0.323894i | −0.116636 | − | 0.0104975i | ||||
\(953\) | −24.1216 | − | 11.6164i | −0.781375 | − | 0.376291i | 0.000280912 | − | 1.00000i | \(-0.499911\pi\) |
−0.781656 | + | 0.623709i | \(0.785625\pi\) | |||||||
\(954\) | 3.54285 | + | 6.58372i | 0.114704 | + | 0.213156i | ||||
\(955\) | 6.14922 | − | 26.9415i | 0.198984 | − | 0.871807i | ||||
\(956\) | −5.96105 | + | 9.03061i | −0.192794 | + | 0.292071i | ||||
\(957\) | 0.539354 | − | 0.676329i | 0.0174349 | − | 0.0218626i | ||||
\(958\) | −21.7742 | − | 6.00928i | −0.703491 | − | 0.194151i | ||||
\(959\) | 1.66967 | + | 0.460800i | 0.0539165 | + | 0.0148800i | ||||
\(960\) | −3.59465 | + | 4.50755i | −0.116017 | + | 0.145481i | ||||
\(961\) | 15.7414 | − | 23.8472i | 0.507788 | − | 0.769265i | ||||
\(962\) | 2.96333 | − | 12.9832i | 0.0955417 | − | 0.418596i | ||||
\(963\) | 4.45407 | + | 8.27704i | 0.143530 | + | 0.266724i | ||||
\(964\) | 30.1354 | + | 14.5124i | 0.970594 | + | 0.467414i | ||||
\(965\) | −15.1866 | − | 1.36682i | −0.488873 | − | 0.0439994i | ||||
\(966\) | 0.145773 | + | 0.220837i | 0.00469018 | + | 0.00710532i | ||||
\(967\) | 33.6786 | − | 12.6398i | 1.08303 | − | 0.406468i | 0.254879 | − | 0.966973i | \(-0.417964\pi\) |
0.828151 | + | 0.560505i | \(0.189393\pi\) | |||||||
\(968\) | −20.9625 | + | 10.0950i | −0.673761 | + | 0.324466i | ||||
\(969\) | −31.5177 | − | 22.8989i | −1.01249 | − | 0.735620i | ||||
\(970\) | 1.80190 | + | 4.21577i | 0.0578557 | + | 0.135360i | ||||
\(971\) | 17.5864 | + | 22.0526i | 0.564373 | + | 0.707702i | 0.979360 | − | 0.202126i | \(-0.0647850\pi\) |
−0.414986 | + | 0.909828i | \(0.636214\pi\) | |||||||
\(972\) | 19.5899 | − | 1.76312i | 0.628345 | − | 0.0565521i | ||||
\(973\) | 5.27644 | + | 1.98028i | 0.169155 | + | 0.0634849i | ||||
\(974\) | 3.14605 | + | 13.7837i | 0.100806 | + | 0.441660i | ||||
\(975\) | −3.21684 | + | 2.81047i | −0.103021 | + | 0.0900071i | ||||
\(976\) | −9.96556 | − | 5.95414i | −0.318990 | − | 0.190588i | ||||
\(977\) | −48.3548 | + | 35.1318i | −1.54701 | + | 1.12397i | −0.601265 | + | 0.799050i | \(0.705336\pi\) |
−0.945742 | + | 0.324917i | \(0.894664\pi\) | |||||||
\(978\) | 5.70739 | − | 10.6061i | 0.182502 | − | 0.339146i | ||||
\(979\) | 10.4919 | + | 9.16652i | 0.335324 | + | 0.292963i | ||||
\(980\) | −6.24231 | − | 19.2119i | −0.199403 | − | 0.613700i | ||||
\(981\) | −12.7966 | + | 2.32224i | −0.408564 | + | 0.0741435i | ||||
\(982\) | 4.18286 | + | 30.8791i | 0.133481 | + | 0.985393i | ||||
\(983\) | 37.3869 | + | 6.78472i | 1.19246 | + | 0.216399i | 0.738269 | − | 0.674507i | \(-0.235644\pi\) |
0.454188 | + | 0.890906i | \(0.349929\pi\) | |||||||
\(984\) | −1.43256 | + | 31.8985i | −0.0456685 | + | 1.01689i | ||||
\(985\) | −30.4758 | − | 31.8751i | −0.971038 | − | 1.01563i | ||||
\(986\) | 1.12352 | − | 1.17511i | 0.0357803 | − | 0.0374232i | ||||
\(987\) | 0.144236 | + | 3.21166i | 0.00459107 | + | 0.102228i | ||||
\(988\) | −5.24453 | + | 38.7167i | −0.166851 | + | 1.23174i | ||||
\(989\) | 1.99322 | − | 6.13450i | 0.0633807 | − | 0.195066i | ||||
\(990\) | −2.57983 | + | 1.54138i | −0.0819924 | + | 0.0489882i | ||||
\(991\) | −10.3904 | + | 24.3096i | −0.330063 | + | 0.772220i | 0.669505 | + | 0.742808i | \(0.266506\pi\) |
−0.999567 | + | 0.0294124i | \(0.990636\pi\) | |||||||
\(992\) | −8.79822 | + | 2.42815i | −0.279344 | + | 0.0770940i | ||||
\(993\) | −31.6619 | −1.00476 | ||||||||
\(994\) | −1.83785 | − | 0.876900i | −0.0582929 | − | 0.0278136i | ||||
\(995\) | −46.7636 | −1.48251 | ||||||||
\(996\) | 7.51227 | − | 2.07325i | 0.238035 | − | 0.0656936i | ||||
\(997\) | 4.29007 | − | 10.0371i | 0.135868 | − | 0.317878i | −0.837753 | − | 0.546049i | \(-0.816131\pi\) |
0.973621 | + | 0.228170i | \(0.0732742\pi\) | |||||||
\(998\) | 18.4011 | − | 10.9941i | 0.582475 | − | 0.348013i | ||||
\(999\) | 8.30356 | − | 25.5557i | 0.262713 | − | 0.808547i |
(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 | 71.2.g.a.10.2 | ✓ | 120 | |
3.2 | odd | 2 | 639.2.v.a.10.4 | 120 | |||
71.8 | even | 35 | 5041.2.a.s.1.37 | 60 | |||
71.63 | odd | 70 | 5041.2.a.t.1.37 | 60 | |||
71.64 | even | 35 | inner | 71.2.g.a.64.2 | yes | 120 | |
213.206 | odd | 70 | 639.2.v.a.64.4 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
71.2.g.a.10.2 | ✓ | 120 | 1.1 | even | 1 | trivial | |
71.2.g.a.64.2 | yes | 120 | 71.64 | even | 35 | inner | |
639.2.v.a.10.4 | 120 | 3.2 | odd | 2 | |||
639.2.v.a.64.4 | 120 | 213.206 | odd | 70 | |||
5041.2.a.s.1.37 | 60 | 71.8 | even | 35 | |||
5041.2.a.t.1.37 | 60 | 71.63 | odd | 70 |