Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [116,2,Mod(3,116)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(116, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("116.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 116 = 2^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 116.l (of order \(28\), degree \(12\), 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: | \(0.926264663447\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.6 | ||
Character | \(\chi\) | \(=\) | 116.27 |
Dual form | 116.2.l.b.43.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/116\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(89\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.586459 | + | 1.28688i | −0.414689 | + | 0.909963i | ||||
\(3\) | 2.07960 | + | 1.30670i | 1.20066 | + | 0.754423i | 0.975521 | − | 0.219904i | \(-0.0705745\pi\) |
0.225136 | + | 0.974327i | \(0.427717\pi\) | |||||||
\(4\) | −1.31213 | − | 1.50941i | −0.656065 | − | 0.754704i | ||||
\(5\) | −2.72115 | + | 2.17005i | −1.21694 | + | 0.970475i | −0.999984 | − | 0.00570669i | \(-0.998183\pi\) |
−0.216954 | + | 0.976182i | \(0.569612\pi\) | |||||||
\(6\) | −2.90117 | + | 1.90987i | −1.18440 | + | 0.779703i | ||||
\(7\) | −0.190870 | + | 0.0435647i | −0.0721419 | + | 0.0164659i | −0.258440 | − | 0.966027i | \(-0.583208\pi\) |
0.186298 | + | 0.982493i | \(0.440351\pi\) | |||||||
\(8\) | 2.71194 | − | 0.803351i | 0.958816 | − | 0.284027i | ||||
\(9\) | 1.31562 | + | 2.73192i | 0.438541 | + | 0.910639i | ||||
\(10\) | −1.19675 | − | 4.77445i | −0.378445 | − | 1.50981i | ||||
\(11\) | 4.11702 | − | 1.44061i | 1.24133 | − | 0.434359i | 0.371832 | − | 0.928300i | \(-0.378730\pi\) |
0.869496 | + | 0.493941i | \(0.164444\pi\) | |||||||
\(12\) | −0.756364 | − | 4.85353i | −0.218344 | − | 1.40109i | ||||
\(13\) | 0.215721 | − | 0.447950i | 0.0598303 | − | 0.124239i | −0.868910 | − | 0.494971i | \(-0.835179\pi\) |
0.928740 | + | 0.370732i | \(0.120893\pi\) | |||||||
\(14\) | 0.0558746 | − | 0.271176i | 0.0149331 | − | 0.0724747i | ||||
\(15\) | −8.49451 | + | 0.957102i | −2.19327 | + | 0.247123i | ||||
\(16\) | −0.556626 | + | 3.96108i | −0.139157 | + | 0.990270i | ||||
\(17\) | 3.07771 | + | 3.07771i | 0.746455 | + | 0.746455i | 0.973812 | − | 0.227357i | \(-0.0730083\pi\) |
−0.227357 | + | 0.973812i | \(0.573008\pi\) | |||||||
\(18\) | −4.28721 | + | 0.0908916i | −1.01051 | + | 0.0214234i | ||||
\(19\) | −3.92373 | − | 6.24458i | −0.900165 | − | 1.43260i | −0.901583 | − | 0.432606i | \(-0.857594\pi\) |
0.00141814 | − | 0.999999i | \(-0.499549\pi\) | |||||||
\(20\) | 6.84600 | + | 1.25995i | 1.53081 | + | 0.281733i | ||||
\(21\) | −0.453858 | − | 0.158812i | −0.0990400 | − | 0.0346556i | ||||
\(22\) | −0.560573 | + | 6.14297i | −0.119515 | + | 1.30969i | ||||
\(23\) | 3.53508 | + | 2.81913i | 0.737114 | + | 0.587829i | 0.918424 | − | 0.395597i | \(-0.129462\pi\) |
−0.181310 | + | 0.983426i | \(0.558034\pi\) | |||||||
\(24\) | 6.68949 | + | 1.87304i | 1.36549 | + | 0.382334i | ||||
\(25\) | 1.58297 | − | 6.93544i | 0.316594 | − | 1.38709i | ||||
\(26\) | 0.449947 | + | 0.540312i | 0.0882418 | + | 0.105964i | ||||
\(27\) | −0.00885427 | + | 0.0785839i | −0.00170401 | + | 0.0151235i | ||||
\(28\) | 0.316203 | + | 0.230937i | 0.0597567 | + | 0.0436431i | ||||
\(29\) | −4.83806 | − | 2.36499i | −0.898406 | − | 0.439167i | ||||
\(30\) | 3.75001 | − | 11.4927i | 0.684655 | − | 2.09828i | ||||
\(31\) | 5.78825 | + | 0.652179i | 1.03960 | + | 0.117135i | 0.615225 | − | 0.788351i | \(-0.289065\pi\) |
0.424375 | + | 0.905486i | \(0.360494\pi\) | |||||||
\(32\) | −4.77101 | − | 3.03933i | −0.843403 | − | 0.537282i | ||||
\(33\) | 10.4442 | + | 2.38382i | 1.81810 | + | 0.414969i | ||||
\(34\) | −5.76561 | + | 2.15570i | −0.988793 | + | 0.369699i | ||||
\(35\) | 0.424848 | − | 0.532743i | 0.0718124 | − | 0.0900499i | ||||
\(36\) | 2.39731 | − | 5.57044i | 0.399552 | − | 0.928407i | ||||
\(37\) | 1.88690 | − | 5.39245i | 0.310204 | − | 0.886513i | −0.678228 | − | 0.734851i | \(-0.737252\pi\) |
0.988433 | − | 0.151661i | \(-0.0484623\pi\) | |||||||
\(38\) | 10.3371 | − | 1.38718i | 1.67691 | − | 0.225031i | ||||
\(39\) | 1.03395 | − | 0.649674i | 0.165564 | − | 0.104031i | ||||
\(40\) | −5.63630 | + | 8.07109i | −0.891178 | + | 1.27615i | ||||
\(41\) | −4.93420 | + | 4.93420i | −0.770592 | + | 0.770592i | −0.978210 | − | 0.207618i | \(-0.933429\pi\) |
0.207618 | + | 0.978210i | \(0.433429\pi\) | |||||||
\(42\) | 0.470542 | − | 0.490925i | 0.0726062 | − | 0.0757514i | ||||
\(43\) | −0.162068 | − | 1.43840i | −0.0247152 | − | 0.219353i | 0.975284 | − | 0.220957i | \(-0.0709181\pi\) |
−0.999999 | + | 0.00160370i | \(0.999490\pi\) | |||||||
\(44\) | −7.57653 | − | 4.32400i | −1.14220 | − | 0.651867i | ||||
\(45\) | −9.50840 | − | 4.57900i | −1.41743 | − | 0.682598i | ||||
\(46\) | −5.70106 | + | 2.89592i | −0.840576 | + | 0.426980i | ||||
\(47\) | −1.36704 | − | 3.90678i | −0.199403 | − | 0.569862i | 0.800148 | − | 0.599802i | \(-0.204754\pi\) |
−0.999552 | + | 0.0299399i | \(0.990468\pi\) | |||||||
\(48\) | −6.33350 | + | 7.51012i | −0.914162 | + | 1.08399i | ||||
\(49\) | −6.27225 | + | 3.02056i | −0.896036 | + | 0.431508i | ||||
\(50\) | 7.99674 | + | 6.10445i | 1.13091 | + | 0.863299i | ||||
\(51\) | 2.37877 | + | 10.4221i | 0.333094 | + | 1.45938i | ||||
\(52\) | −0.959194 | + | 0.262157i | −0.133016 | + | 0.0363547i | ||||
\(53\) | 0.304780 | + | 0.382182i | 0.0418647 | + | 0.0524967i | 0.802323 | − | 0.596890i | \(-0.203597\pi\) |
−0.760458 | + | 0.649387i | \(0.775026\pi\) | |||||||
\(54\) | −0.0959355 | − | 0.0574807i | −0.0130552 | − | 0.00782213i | ||||
\(55\) | −8.07686 | + | 12.8542i | −1.08908 | + | 1.73327i | ||||
\(56\) | −0.482629 | + | 0.271480i | −0.0644941 | + | 0.0362781i | ||||
\(57\) | − | 18.1134i | − | 2.39917i | ||||||
\(58\) | 5.88078 | − | 4.83905i | 0.772185 | − | 0.635398i | ||||
\(59\) | 1.54740i | 0.201454i | 0.994914 | + | 0.100727i | \(0.0321169\pi\) | ||||
−0.994914 | + | 0.100727i | \(0.967883\pi\) | |||||||
\(60\) | 12.5906 | + | 11.5658i | 1.62544 | + | 1.49314i | ||||
\(61\) | −1.69809 | + | 2.70249i | −0.217418 | + | 0.346019i | −0.937569 | − | 0.347798i | \(-0.886929\pi\) |
0.720151 | + | 0.693817i | \(0.244072\pi\) | |||||||
\(62\) | −4.23385 | + | 7.06632i | −0.537700 | + | 0.897423i | ||||
\(63\) | −0.370127 | − | 0.464125i | −0.0466317 | − | 0.0584742i | ||||
\(64\) | 6.70926 | − | 4.35728i | 0.838657 | − | 0.544660i | ||||
\(65\) | 0.385062 | + | 1.68707i | 0.0477611 | + | 0.209255i | ||||
\(66\) | −9.19279 | + | 12.0424i | −1.13155 | + | 1.48232i | ||||
\(67\) | −2.69828 | + | 1.29942i | −0.329647 | + | 0.158750i | −0.591385 | − | 0.806389i | \(-0.701419\pi\) |
0.261738 | + | 0.965139i | \(0.415704\pi\) | |||||||
\(68\) | 0.607164 | − | 8.68389i | 0.0736294 | − | 1.05308i | ||||
\(69\) | 3.66779 | + | 10.4819i | 0.441550 | + | 1.26188i | ||||
\(70\) | 0.436421 | + | 0.859161i | 0.0521623 | + | 0.102689i | ||||
\(71\) | −10.6533 | − | 5.13036i | −1.26431 | − | 0.608862i | −0.323002 | − | 0.946398i | \(-0.604692\pi\) |
−0.941312 | + | 0.337537i | \(0.890406\pi\) | |||||||
\(72\) | 5.76258 | + | 6.35189i | 0.679126 | + | 0.748578i | ||||
\(73\) | −0.531932 | − | 4.72103i | −0.0622579 | − | 0.552554i | −0.985663 | − | 0.168727i | \(-0.946034\pi\) |
0.923405 | − | 0.383827i | \(-0.125394\pi\) | |||||||
\(74\) | 5.83285 | + | 5.59067i | 0.678055 | + | 0.649902i | ||||
\(75\) | 12.3545 | − | 12.3545i | 1.42657 | − | 1.42657i | ||||
\(76\) | −4.27717 | + | 14.1162i | −0.490625 | + | 1.61924i | ||||
\(77\) | −0.723054 | + | 0.454325i | −0.0823996 | + | 0.0517751i | ||||
\(78\) | 0.229684 | + | 1.71158i | 0.0260066 | + | 0.193798i | ||||
\(79\) | 2.20075 | − | 6.28937i | 0.247603 | − | 0.707610i | −0.751263 | − | 0.660003i | \(-0.770555\pi\) |
0.998866 | − | 0.0476066i | \(-0.0151594\pi\) | |||||||
\(80\) | −7.08107 | − | 11.9866i | −0.791688 | − | 1.34015i | ||||
\(81\) | 5.55054 | − | 6.96015i | 0.616726 | − | 0.773350i | ||||
\(82\) | −3.45602 | − | 9.24343i | −0.381654 | − | 1.02077i | ||||
\(83\) | −10.5357 | − | 2.40469i | −1.15644 | − | 0.263950i | −0.399059 | − | 0.916925i | \(-0.630663\pi\) |
−0.757379 | + | 0.652976i | \(0.773520\pi\) | |||||||
\(84\) | 0.355809 | + | 0.893439i | 0.0388220 | + | 0.0974822i | ||||
\(85\) | −15.0537 | − | 1.69615i | −1.63280 | − | 0.183973i | ||||
\(86\) | 1.94609 | + | 0.634999i | 0.209853 | + | 0.0684737i | ||||
\(87\) | −6.97091 | − | 11.2401i | −0.747360 | − | 1.20507i | ||||
\(88\) | 10.0078 | − | 7.21425i | 1.06684 | − | 0.769042i | ||||
\(89\) | −0.947877 | + | 8.41264i | −0.100475 | + | 0.891738i | 0.837831 | + | 0.545930i | \(0.183824\pi\) |
−0.938305 | + | 0.345808i | \(0.887605\pi\) | |||||||
\(90\) | 11.4689 | − | 9.55079i | 1.20893 | − | 1.00674i | ||||
\(91\) | −0.0216598 | + | 0.0948978i | −0.00227057 | + | 0.00994800i | ||||
\(92\) | −0.383265 | − | 9.03494i | −0.0399581 | − | 0.941957i | ||||
\(93\) | 11.1850 | + | 8.91977i | 1.15983 | + | 0.924938i | ||||
\(94\) | 5.82928 | + | 0.531947i | 0.601244 | + | 0.0548661i | ||||
\(95\) | 24.2281 | + | 8.47778i | 2.48575 | + | 0.869802i | ||||
\(96\) | −5.95030 | − | 12.5549i | −0.607300 | − | 1.28137i | ||||
\(97\) | 4.31646 | + | 6.86961i | 0.438270 | + | 0.697503i | 0.990701 | − | 0.136056i | \(-0.0434426\pi\) |
−0.552431 | + | 0.833559i | \(0.686300\pi\) | |||||||
\(98\) | −0.208679 | − | 9.84308i | −0.0210798 | − | 0.994301i | ||||
\(99\) | 9.35206 | + | 9.35206i | 0.939917 | + | 0.939917i | ||||
\(100\) | −12.5455 | + | 6.71085i | −1.25455 | + | 0.671085i | ||||
\(101\) | 1.93684 | − | 0.218230i | 0.192723 | − | 0.0217147i | −0.0150754 | − | 0.999886i | \(-0.504799\pi\) |
0.207798 | + | 0.978172i | \(0.433370\pi\) | |||||||
\(102\) | −14.8070 | − | 3.05092i | −1.46611 | − | 0.302086i | ||||
\(103\) | −4.83615 | + | 10.0424i | −0.476520 | + | 0.989505i | 0.514710 | + | 0.857364i | \(0.327899\pi\) |
−0.991231 | + | 0.132141i | \(0.957815\pi\) | |||||||
\(104\) | 0.225163 | − | 1.38811i | 0.0220790 | − | 0.136116i | ||||
\(105\) | 1.57965 | − | 0.552743i | 0.154158 | − | 0.0539422i | ||||
\(106\) | −0.670564 | + | 0.168081i | −0.0651309 | + | 0.0163255i | ||||
\(107\) | 0.667804 | + | 1.38671i | 0.0645590 | + | 0.134058i | 0.930752 | − | 0.365652i | \(-0.119154\pi\) |
−0.866193 | + | 0.499710i | \(0.833440\pi\) | |||||||
\(108\) | 0.130233 | − | 0.0897476i | 0.0125317 | − | 0.00863596i | ||||
\(109\) | −0.916271 | + | 0.209133i | −0.0877629 | + | 0.0200313i | −0.266177 | − | 0.963924i | \(-0.585761\pi\) |
0.178414 | + | 0.983956i | \(0.442903\pi\) | |||||||
\(110\) | −11.8051 | − | 17.9325i | −1.12558 | − | 1.70979i | ||||
\(111\) | 10.9703 | − | 8.74852i | 1.04125 | − | 0.830373i | ||||
\(112\) | −0.0663204 | − | 0.780299i | −0.00626669 | − | 0.0737313i | ||||
\(113\) | 14.3457 | + | 9.01398i | 1.34953 | + | 0.847964i | 0.996163 | − | 0.0875218i | \(-0.0278947\pi\) |
0.353364 | + | 0.935486i | \(0.385038\pi\) | |||||||
\(114\) | 23.3098 | + | 10.6228i | 2.18316 | + | 0.994912i | ||||
\(115\) | −15.7371 | −1.46750 | ||||||||
\(116\) | 2.77844 | + | 10.4058i | 0.257972 | + | 0.966152i | ||||
\(117\) | 1.50757 | 0.139375 | ||||||||
\(118\) | −1.99132 | − | 0.907486i | −0.183316 | − | 0.0835408i | ||||
\(119\) | −0.721521 | − | 0.453362i | −0.0661418 | − | 0.0415596i | ||||
\(120\) | −22.2677 | + | 9.41968i | −2.03276 | + | 0.859895i | ||||
\(121\) | 6.27434 | − | 5.00362i | 0.570395 | − | 0.454875i | ||||
\(122\) | −2.48193 | − | 3.77014i | −0.224703 | − | 0.341333i | ||||
\(123\) | −16.7087 | + | 3.81364i | −1.50657 | + | 0.343865i | ||||
\(124\) | −6.61054 | − | 9.59258i | −0.593644 | − | 0.861439i | ||||
\(125\) | 3.19210 | + | 6.62846i | 0.285510 | + | 0.592867i | ||||
\(126\) | 0.814339 | − | 0.204120i | 0.0725471 | − | 0.0181844i | ||||
\(127\) | 14.0331 | − | 4.91038i | 1.24523 | − | 0.435726i | 0.374383 | − | 0.927274i | \(-0.377855\pi\) |
0.870850 | + | 0.491548i | \(0.163569\pi\) | |||||||
\(128\) | 1.67260 | + | 11.1894i | 0.147838 | + | 0.989012i | ||||
\(129\) | 1.54251 | − | 3.20306i | 0.135811 | − | 0.282014i | ||||
\(130\) | −2.39688 | − | 0.493867i | −0.210220 | − | 0.0433150i | ||||
\(131\) | 5.59701 | − | 0.630631i | 0.489013 | − | 0.0550985i | 0.135984 | − | 0.990711i | \(-0.456580\pi\) |
0.353029 | + | 0.935613i | \(0.385152\pi\) | |||||||
\(132\) | −10.1060 | − | 18.8924i | −0.879613 | − | 1.64437i | ||||
\(133\) | 1.02096 | + | 1.02096i | 0.0885288 | + | 0.0885288i | ||||
\(134\) | −0.0897724 | − | 4.23442i | −0.00775515 | − | 0.365798i | ||||
\(135\) | −0.146437 | − | 0.233053i | −0.0126033 | − | 0.0200580i | ||||
\(136\) | 10.8191 | + | 5.87409i | 0.927727 | + | 0.503699i | ||||
\(137\) | −19.2553 | − | 6.73774i | −1.64510 | − | 0.575644i | −0.660551 | − | 0.750781i | \(-0.729677\pi\) |
−0.984544 | + | 0.175137i | \(0.943963\pi\) | |||||||
\(138\) | −15.6400 | − | 1.42722i | −1.33137 | − | 0.121493i | ||||
\(139\) | 10.7059 | + | 8.53769i | 0.908065 | + | 0.724157i | 0.961613 | − | 0.274408i | \(-0.0884818\pi\) |
−0.0535487 | + | 0.998565i | \(0.517053\pi\) | |||||||
\(140\) | −1.36158 | + | 0.0577587i | −0.115075 | + | 0.00488150i | ||||
\(141\) | 2.26209 | − | 9.91085i | 0.190502 | − | 0.834644i | ||||
\(142\) | 12.8499 | − | 10.7008i | 1.07834 | − | 0.897991i | ||||
\(143\) | 0.242809 | − | 2.15499i | 0.0203047 | − | 0.180209i | ||||
\(144\) | −11.5537 | + | 3.69063i | −0.962804 | + | 0.307552i | ||||
\(145\) | 18.2972 | − | 4.06334i | 1.51950 | − | 0.337442i | ||||
\(146\) | 6.38736 | + | 2.08416i | 0.528622 | + | 0.172486i | ||||
\(147\) | −16.9907 | − | 1.91440i | −1.40137 | − | 0.157897i | ||||
\(148\) | −10.6153 | + | 4.22749i | −0.872569 | + | 0.347498i | ||||
\(149\) | −10.1529 | − | 2.31734i | −0.831759 | − | 0.189844i | −0.214620 | − | 0.976698i | \(-0.568851\pi\) |
−0.617139 | + | 0.786854i | \(0.711708\pi\) | |||||||
\(150\) | 8.65335 | + | 23.1441i | 0.706543 | + | 1.88971i | ||||
\(151\) | 11.0805 | − | 13.8945i | 0.901715 | − | 1.13071i | −0.0891719 | − | 0.996016i | \(-0.528422\pi\) |
0.990887 | − | 0.134698i | \(-0.0430065\pi\) | |||||||
\(152\) | −15.6575 | − | 13.7828i | −1.26999 | − | 1.11793i | ||||
\(153\) | −4.35895 | + | 12.4572i | −0.352400 | + | 1.00710i | ||||
\(154\) | −0.160621 | − | 1.19693i | −0.0129432 | − | 0.0964512i | ||||
\(155\) | −17.1660 | + | 10.7861i | −1.37881 | + | 0.866361i | ||||
\(156\) | −2.33730 | − | 0.708196i | −0.187134 | − | 0.0567010i | ||||
\(157\) | −1.86984 | + | 1.86984i | −0.149229 | + | 0.149229i | −0.777774 | − | 0.628544i | \(-0.783651\pi\) |
0.628544 | + | 0.777774i | \(0.283651\pi\) | |||||||
\(158\) | 6.80303 | + | 6.52056i | 0.541220 | + | 0.518748i | ||||
\(159\) | 0.134423 | + | 1.19304i | 0.0106605 | + | 0.0946142i | ||||
\(160\) | 19.5781 | − | 2.08284i | 1.54779 | − | 0.164663i | ||||
\(161\) | −0.797553 | − | 0.384081i | −0.0628560 | − | 0.0302698i | ||||
\(162\) | 5.70173 | + | 11.2247i | 0.447970 | + | 0.881898i | ||||
\(163\) | −1.99063 | − | 5.68890i | −0.155918 | − | 0.445589i | 0.839253 | − | 0.543741i | \(-0.182993\pi\) |
−0.995171 | + | 0.0981518i | \(0.968707\pi\) | |||||||
\(164\) | 13.9220 | + | 0.973406i | 1.08713 | + | 0.0760103i | ||||
\(165\) | −33.5933 | + | 16.1777i | −2.61523 | + | 1.25943i | ||||
\(166\) | 9.27329 | − | 12.1479i | 0.719747 | − | 0.942859i | ||||
\(167\) | −0.884695 | − | 3.87610i | −0.0684597 | − | 0.299942i | 0.929094 | − | 0.369843i | \(-0.120589\pi\) |
−0.997554 | + | 0.0699016i | \(0.977731\pi\) | |||||||
\(168\) | −1.35842 | − | 0.0660812i | −0.104804 | − | 0.00509828i | ||||
\(169\) | 7.95124 | + | 9.97054i | 0.611634 | + | 0.766965i | ||||
\(170\) | 11.0111 | − | 18.3776i | 0.844516 | − | 1.40950i | ||||
\(171\) | 11.8975 | − | 18.9348i | 0.909826 | − | 1.44798i | ||||
\(172\) | −1.95847 | + | 2.13199i | −0.149332 | + | 0.162563i | ||||
\(173\) | − | 11.9197i | − | 0.906237i | −0.891450 | − | 0.453118i | \(-0.850312\pi\) | ||
0.891450 | − | 0.453118i | \(-0.149688\pi\) | |||||||
\(174\) | 18.5529 | − | 2.37886i | 1.40649 | − | 0.180341i | ||||
\(175\) | 1.39273i | 0.105280i | ||||||||
\(176\) | 3.41472 | + | 17.1097i | 0.257394 | + | 1.28969i | ||||
\(177\) | −2.02198 | + | 3.21797i | −0.151982 | + | 0.241877i | ||||
\(178\) | −10.2702 | − | 6.15348i | −0.769783 | − | 0.461223i | ||||
\(179\) | 6.76147 | + | 8.47861i | 0.505376 | + | 0.633721i | 0.967432 | − | 0.253129i | \(-0.0814598\pi\) |
−0.462057 | + | 0.886850i | \(0.652888\pi\) | |||||||
\(180\) | 5.56468 | + | 20.3603i | 0.414767 | + | 1.51757i | ||||
\(181\) | 2.83426 | + | 12.4177i | 0.210669 | + | 0.923000i | 0.964114 | + | 0.265489i | \(0.0855335\pi\) |
−0.753445 | + | 0.657511i | \(0.771609\pi\) | |||||||
\(182\) | −0.109420 | − | 0.0835274i | −0.00811073 | − | 0.00619146i | ||||
\(183\) | −7.06269 | + | 3.40121i | −0.522089 | + | 0.251425i | ||||
\(184\) | 11.8517 | + | 4.80541i | 0.873716 | + | 0.354259i | ||||
\(185\) | 6.56733 | + | 18.7683i | 0.482839 | + | 1.37988i | ||||
\(186\) | −18.0383 | + | 9.16275i | −1.32263 | + | 0.671845i | ||||
\(187\) | 17.1048 | + | 8.23722i | 1.25082 | + | 0.602365i | ||||
\(188\) | −4.10319 | + | 7.18963i | −0.299256 | + | 0.524358i | ||||
\(189\) | −0.00173347 | − | 0.0153850i | −0.000126092 | − | 0.00111909i | ||||
\(190\) | −25.1187 | + | 26.2068i | −1.82230 | + | 1.90124i | ||||
\(191\) | −13.6759 | + | 13.6759i | −0.989554 | + | 0.989554i | −0.999946 | − | 0.0103923i | \(-0.996692\pi\) |
0.0103923 | + | 0.999946i | \(0.496692\pi\) | |||||||
\(192\) | 19.6462 | − | 0.294420i | 1.41784 | − | 0.0212479i | ||||
\(193\) | 9.54605 | − | 5.99818i | 0.687140 | − | 0.431759i | −0.142696 | − | 0.989767i | \(-0.545577\pi\) |
0.829836 | + | 0.558008i | \(0.188434\pi\) | |||||||
\(194\) | −11.3718 | + | 1.52603i | −0.816448 | + | 0.109562i | ||||
\(195\) | −1.40371 | + | 4.01158i | −0.100522 | + | 0.287275i | ||||
\(196\) | 12.7893 | + | 5.50402i | 0.913519 | + | 0.393144i | ||||
\(197\) | 7.01212 | − | 8.79292i | 0.499593 | − | 0.626470i | −0.466544 | − | 0.884498i | \(-0.654501\pi\) |
0.966137 | + | 0.258028i | \(0.0830726\pi\) | |||||||
\(198\) | −17.5196 | + | 6.55039i | −1.24506 | + | 0.465516i | ||||
\(199\) | −1.60754 | − | 0.366909i | −0.113955 | − | 0.0260095i | 0.165163 | − | 0.986266i | \(-0.447185\pi\) |
−0.279118 | + | 0.960257i | \(0.590042\pi\) | |||||||
\(200\) | −1.27867 | − | 20.0802i | −0.0904156 | − | 1.41988i | ||||
\(201\) | −7.30929 | − | 0.823559i | −0.515557 | − | 0.0580894i | ||||
\(202\) | −0.855043 | + | 2.62047i | −0.0601606 | + | 0.184376i | ||||
\(203\) | 1.02647 | + | 0.240635i | 0.0720440 | + | 0.0168893i | ||||
\(204\) | 12.6099 | − | 17.2656i | 0.882868 | − | 1.20884i | ||||
\(205\) | 2.71927 | − | 24.1342i | 0.189922 | − | 1.68560i | ||||
\(206\) | −10.0871 | − | 12.1130i | −0.702805 | − | 0.843953i | ||||
\(207\) | −3.05080 | + | 13.3664i | −0.212045 | + | 0.929032i | ||||
\(208\) | 1.65429 | + | 1.10383i | 0.114704 | + | 0.0765369i | ||||
\(209\) | −25.1500 | − | 20.0565i | −1.73966 | − | 1.38734i | ||||
\(210\) | −0.215085 | + | 2.35698i | −0.0148423 | + | 0.162647i | ||||
\(211\) | −20.2842 | − | 7.09774i | −1.39642 | − | 0.488628i | −0.475960 | − | 0.879467i | \(-0.657899\pi\) |
−0.920459 | + | 0.390839i | \(0.872185\pi\) | |||||||
\(212\) | 0.176957 | − | 0.961509i | 0.0121535 | − | 0.0660367i | ||||
\(213\) | −15.4508 | − | 24.5898i | −1.05867 | − | 1.68486i | ||||
\(214\) | −2.17617 | + | 0.0461362i | −0.148760 | + | 0.00315380i | ||||
\(215\) | 3.56240 | + | 3.56240i | 0.242954 | + | 0.242954i | ||||
\(216\) | 0.0391181 | + | 0.220228i | 0.00266165 | + | 0.0149846i | ||||
\(217\) | −1.13321 | + | 0.127682i | −0.0769275 | + | 0.00866765i | ||||
\(218\) | 0.268226 | − | 1.30178i | 0.0181666 | − | 0.0881677i | ||||
\(219\) | 5.06276 | − | 10.5129i | 0.342109 | − | 0.710397i | ||||
\(220\) | 30.0002 | − | 4.67517i | 2.02261 | − | 0.315200i | ||||
\(221\) | 2.04259 | − | 0.714733i | 0.137399 | − | 0.0480781i | ||||
\(222\) | 4.82468 | + | 19.2481i | 0.323811 | + | 1.29185i | ||||
\(223\) | −3.27004 | − | 6.79031i | −0.218978 | − | 0.454713i | 0.762322 | − | 0.647198i | \(-0.224059\pi\) |
−0.981300 | + | 0.192486i | \(0.938345\pi\) | |||||||
\(224\) | 1.04305 | + | 0.372267i | 0.0696915 | + | 0.0248732i | ||||
\(225\) | 21.0296 | − | 4.79987i | 1.40197 | − | 0.319992i | ||||
\(226\) | −20.0131 | + | 13.1748i | −1.33125 | + | 0.876378i | ||||
\(227\) | −7.62995 | + | 6.08468i | −0.506417 | + | 0.403854i | −0.843094 | − | 0.537766i | \(-0.819268\pi\) |
0.336677 | + | 0.941620i | \(0.390697\pi\) | |||||||
\(228\) | −27.3405 | + | 23.7671i | −1.81067 | + | 1.57401i | ||||
\(229\) | −0.00394418 | − | 0.00247829i | −0.000260639 | − | 0.000163770i | 0.531902 | − | 0.846806i | \(-0.321478\pi\) |
−0.532162 | + | 0.846642i | \(0.678620\pi\) | |||||||
\(230\) | 9.22919 | − | 20.2518i | 0.608555 | − | 1.33537i | ||||
\(231\) | −2.09733 | −0.137994 | ||||||||
\(232\) | −15.0205 | − | 2.52704i | −0.986141 | − | 0.165909i | ||||
\(233\) | −8.26263 | −0.541303 | −0.270651 | − | 0.962677i | \(-0.587239\pi\) | ||||
−0.270651 | + | 0.962677i | \(0.587239\pi\) | |||||||
\(234\) | −0.884128 | + | 1.94006i | −0.0577973 | + | 0.126826i | ||||
\(235\) | 12.1978 | + | 7.66441i | 0.795699 | + | 0.499971i | ||||
\(236\) | 2.33565 | − | 2.03039i | 0.152038 | − | 0.132167i | ||||
\(237\) | 12.7950 | − | 10.2037i | 0.831124 | − | 0.662799i | ||||
\(238\) | 1.00657 | − | 0.662634i | 0.0652460 | − | 0.0429522i | ||||
\(239\) | 3.89657 | − | 0.889367i | 0.252048 | − | 0.0575284i | −0.0946298 | − | 0.995513i | \(-0.530167\pi\) |
0.346678 | + | 0.937984i | \(0.387310\pi\) | |||||||
\(240\) | 0.937112 | − | 34.1802i | 0.0604903 | − | 2.20632i | ||||
\(241\) | 4.87640 | + | 10.1259i | 0.314117 | + | 0.652270i | 0.996928 | − | 0.0783251i | \(-0.0249572\pi\) |
−0.682811 | + | 0.730595i | \(0.739243\pi\) | |||||||
\(242\) | 2.75942 | + | 11.0088i | 0.177382 | + | 0.707670i | ||||
\(243\) | 20.8616 | − | 7.29981i | 1.33828 | − | 0.468283i | ||||
\(244\) | 6.30728 | − | 0.982915i | 0.403782 | − | 0.0629247i | ||||
\(245\) | 10.5130 | − | 21.8305i | 0.671651 | − | 1.39470i | ||||
\(246\) | 4.89124 | − | 23.7386i | 0.311854 | − | 1.51352i | ||||
\(247\) | −3.64369 | + | 0.410545i | −0.231842 | + | 0.0261224i | ||||
\(248\) | 16.2213 | − | 2.88132i | 1.03006 | − | 0.182964i | ||||
\(249\) | −18.7677 | − | 18.7677i | −1.18936 | − | 1.18936i | ||||
\(250\) | −10.4021 | + | 0.220531i | −0.657885 | + | 0.0139476i | ||||
\(251\) | 2.91437 | + | 4.63819i | 0.183953 | + | 0.292760i | 0.925952 | − | 0.377641i | \(-0.123265\pi\) |
−0.741999 | + | 0.670401i | \(0.766122\pi\) | |||||||
\(252\) | −0.214899 | + | 1.16767i | −0.0135373 | + | 0.0735560i | ||||
\(253\) | 18.6152 | + | 6.51375i | 1.17033 | + | 0.409516i | ||||
\(254\) | −1.91074 | + | 20.9386i | −0.119891 | + | 1.31381i | ||||
\(255\) | −29.0894 | − | 23.1980i | −1.82165 | − | 1.45271i | ||||
\(256\) | −15.3803 | − | 4.40969i | −0.961271 | − | 0.275605i | ||||
\(257\) | −1.57379 | + | 6.89523i | −0.0981704 | + | 0.430113i | −0.999998 | − | 0.00198336i | \(-0.999369\pi\) |
0.901828 | + | 0.432096i | \(0.142226\pi\) | |||||||
\(258\) | 3.21734 | + | 3.86350i | 0.200303 | + | 0.240531i | ||||
\(259\) | −0.125231 | + | 1.11146i | −0.00778148 | + | 0.0690625i | ||||
\(260\) | 2.04122 | − | 2.79487i | 0.126591 | − | 0.173330i | ||||
\(261\) | 0.0958846 | − | 16.3286i | 0.00593511 | − | 1.01072i | ||||
\(262\) | −2.47087 | + | 7.57253i | −0.152651 | + | 0.467832i | ||||
\(263\) | 26.5985 | + | 2.99693i | 1.64013 | + | 0.184799i | 0.883299 | − | 0.468809i | \(-0.155317\pi\) |
0.756833 | + | 0.653608i | \(0.226745\pi\) | |||||||
\(264\) | 30.2391 | − | 1.92557i | 1.86109 | − | 0.118511i | ||||
\(265\) | −1.65871 | − | 0.378589i | −0.101893 | − | 0.0232565i | ||||
\(266\) | −1.91261 | + | 0.715106i | −0.117270 | + | 0.0438460i | ||||
\(267\) | −12.9640 | + | 16.2563i | −0.793383 | + | 0.994871i | ||||
\(268\) | 5.50185 | + | 2.36779i | 0.336079 | + | 0.144636i | ||||
\(269\) | −9.68636 | + | 27.6820i | −0.590588 | + | 1.68780i | 0.127490 | + | 0.991840i | \(0.459308\pi\) |
−0.718078 | + | 0.695963i | \(0.754978\pi\) | |||||||
\(270\) | 0.385791 | − | 0.0517709i | 0.0234785 | − | 0.00315068i | ||||
\(271\) | −6.06660 | + | 3.81190i | −0.368520 | + | 0.231556i | −0.703542 | − | 0.710654i | \(-0.748399\pi\) |
0.335022 | + | 0.942210i | \(0.391256\pi\) | |||||||
\(272\) | −13.9042 | + | 10.4779i | −0.843066 | + | 0.635318i | ||||
\(273\) | −0.169047 | + | 0.169047i | −0.0102312 | + | 0.0102312i | ||||
\(274\) | 19.9632 | − | 20.8279i | 1.20602 | − | 1.25826i | ||||
\(275\) | −3.47413 | − | 30.8338i | −0.209498 | − | 1.85935i | ||||
\(276\) | 11.0089 | − | 19.2899i | 0.662658 | − | 1.16111i | ||||
\(277\) | −6.40850 | − | 3.08617i | −0.385049 | − | 0.185430i | 0.231337 | − | 0.972874i | \(-0.425690\pi\) |
−0.616387 | + | 0.787444i | \(0.711404\pi\) | |||||||
\(278\) | −17.2656 | + | 8.77025i | −1.03552 | + | 0.526005i | ||||
\(279\) | 5.83345 | + | 16.6710i | 0.349239 | + | 0.998069i | ||||
\(280\) | 0.724184 | − | 1.78607i | 0.0432783 | − | 0.106738i | ||||
\(281\) | 2.74116 | − | 1.32007i | 0.163524 | − | 0.0787491i | −0.350331 | − | 0.936626i | \(-0.613931\pi\) |
0.513856 | + | 0.857877i | \(0.328217\pi\) | |||||||
\(282\) | 11.4275 | + | 8.72335i | 0.680496 | + | 0.519468i | ||||
\(283\) | −4.61201 | − | 20.2065i | −0.274155 | − | 1.20115i | −0.905057 | − | 0.425290i | \(-0.860172\pi\) |
0.630902 | − | 0.775863i | \(-0.282685\pi\) | |||||||
\(284\) | 6.23471 | + | 22.8119i | 0.369962 | + | 1.35364i | ||||
\(285\) | 39.3069 | + | 49.2893i | 2.32834 | + | 2.91964i | ||||
\(286\) | 2.63082 | + | 1.57628i | 0.155563 | + | 0.0932073i | ||||
\(287\) | 0.726831 | − | 1.15674i | 0.0429035 | − | 0.0682805i | ||||
\(288\) | 2.02635 | − | 17.0326i | 0.119404 | − | 1.00366i | ||||
\(289\) | 1.94463i | 0.114390i | ||||||||
\(290\) | −5.50156 | + | 25.9294i | −0.323063 | + | 1.52263i | ||||
\(291\) | 19.9263i | 1.16810i | ||||||||
\(292\) | −6.42799 | + | 6.99751i | −0.376170 | + | 0.409498i | ||||
\(293\) | −13.0979 | + | 20.8451i | −0.765186 | + | 1.21779i | 0.205787 | + | 0.978597i | \(0.434025\pi\) |
−0.970973 | + | 0.239190i | \(0.923118\pi\) | |||||||
\(294\) | 12.4280 | − | 20.7423i | 0.724814 | − | 1.20972i | ||||
\(295\) | −3.35793 | − | 4.21071i | −0.195506 | − | 0.245157i | ||||
\(296\) | 0.785134 | − | 16.1398i | 0.0456350 | − | 0.938109i | ||||
\(297\) | 0.0767552 | + | 0.336287i | 0.00445379 | + | 0.0195133i | ||||
\(298\) | 8.93641 | − | 11.7066i | 0.517672 | − | 0.678144i | ||||
\(299\) | 2.02542 | − | 0.975391i | 0.117133 | − | 0.0564083i | ||||
\(300\) | −34.8586 | − | 2.43726i | −2.01256 | − | 0.140715i | ||||
\(301\) | 0.0935973 | + | 0.267486i | 0.00539486 | + | 0.0154176i | ||||
\(302\) | 11.3823 | + | 22.4078i | 0.654977 | + | 1.28942i | ||||
\(303\) | 4.31301 | + | 2.07704i | 0.247776 | + | 0.119323i | ||||
\(304\) | 26.9193 | − | 12.0663i | 1.54393 | − | 0.692050i | ||||
\(305\) | −1.24378 | − | 11.0388i | −0.0712185 | − | 0.632082i | ||||
\(306\) | −13.4745 | − | 12.9151i | −0.770289 | − | 0.738305i | ||||
\(307\) | −0.233092 | + | 0.233092i | −0.0133032 | + | 0.0133032i | −0.713727 | − | 0.700424i | \(-0.752994\pi\) |
0.700424 | + | 0.713727i | \(0.252994\pi\) | |||||||
\(308\) | 1.63450 | + | 0.495250i | 0.0931344 | + | 0.0282195i | ||||
\(309\) | −23.1796 | + | 14.5647i | −1.31864 | + | 0.828559i | ||||
\(310\) | −3.81329 | − | 28.4162i | −0.216580 | − | 1.61393i | ||||
\(311\) | −2.30092 | + | 6.57564i | −0.130473 | + | 0.372870i | −0.990524 | − | 0.137337i | \(-0.956146\pi\) |
0.860051 | + | 0.510207i | \(0.170431\pi\) | |||||||
\(312\) | 2.28210 | − | 2.59250i | 0.129198 | − | 0.146771i | ||||
\(313\) | −1.54389 | + | 1.93598i | −0.0872658 | + | 0.109428i | −0.823548 | − | 0.567247i | \(-0.808008\pi\) |
0.736282 | + | 0.676675i | \(0.236580\pi\) | |||||||
\(314\) | −1.30968 | − | 3.50284i | −0.0739093 | − | 0.197677i | ||||
\(315\) | 2.01435 | + | 0.459762i | 0.113496 | + | 0.0259046i | ||||
\(316\) | −12.3809 | + | 4.93065i | −0.696480 | + | 0.277371i | ||||
\(317\) | 12.1900 | + | 1.37349i | 0.684660 | + | 0.0771426i | 0.447441 | − | 0.894314i | \(-0.352336\pi\) |
0.237219 | + | 0.971456i | \(0.423764\pi\) | |||||||
\(318\) | −1.61414 | − | 0.526683i | −0.0905162 | − | 0.0295349i | ||||
\(319\) | −23.3254 | − | 2.76694i | −1.30597 | − | 0.154919i | ||||
\(320\) | −8.80141 | + | 26.4162i | −0.492014 | + | 1.47671i | ||||
\(321\) | −0.423247 | + | 3.75642i | −0.0236233 | + | 0.209663i | ||||
\(322\) | 0.962000 | − | 0.801108i | 0.0536101 | − | 0.0446440i | ||||
\(323\) | 7.14291 | − | 31.2951i | 0.397442 | − | 1.74131i | ||||
\(324\) | −17.7887 | + | 0.754604i | −0.988263 | + | 0.0419224i | ||||
\(325\) | −2.76525 | − | 2.20521i | −0.153388 | − | 0.122323i | ||||
\(326\) | 8.48837 | + | 0.774601i | 0.470128 | + | 0.0429012i | ||||
\(327\) | −2.17875 | − | 0.762378i | −0.120485 | − | 0.0421596i | ||||
\(328\) | −9.41736 | + | 17.3451i | −0.519987 | + | 0.957725i | ||||
\(329\) | 0.431124 | + | 0.686131i | 0.0237687 | + | 0.0378276i | ||||
\(330\) | −1.11766 | − | 52.7181i | −0.0615250 | − | 2.90204i | ||||
\(331\) | −10.6671 | − | 10.6671i | −0.586315 | − | 0.586315i | 0.350317 | − | 0.936631i | \(-0.386074\pi\) |
−0.936631 | + | 0.350317i | \(0.886074\pi\) | |||||||
\(332\) | 10.1945 | + | 19.0579i | 0.559495 | + | 1.04594i | ||||
\(333\) | 17.2142 | − | 1.93957i | 0.943330 | − | 0.106288i | ||||
\(334\) | 5.50692 | + | 1.13468i | 0.301325 | + | 0.0620868i | ||||
\(335\) | 4.52262 | − | 9.39132i | 0.247097 | − | 0.513102i | ||||
\(336\) | 0.881696 | − | 1.70937i | 0.0481005 | − | 0.0932538i | ||||
\(337\) | −26.7609 | + | 9.36403i | −1.45776 | + | 0.510091i | −0.938726 | − | 0.344664i | \(-0.887993\pi\) |
−0.519031 | + | 0.854755i | \(0.673707\pi\) | |||||||
\(338\) | −17.4940 | + | 4.38499i | −0.951548 | + | 0.238512i | ||||
\(339\) | 18.0547 | + | 37.4909i | 0.980596 | + | 2.03623i | ||||
\(340\) | 17.1923 | + | 24.9478i | 0.932382 | + | 1.35298i | ||||
\(341\) | 24.7699 | − | 5.65356i | 1.34136 | − | 0.306157i | ||||
\(342\) | 17.3894 | + | 26.4152i | 0.940313 | + | 1.42837i | ||||
\(343\) | 2.13705 | − | 1.70424i | 0.115390 | − | 0.0920203i | ||||
\(344\) | −1.59506 | − | 3.77065i | −0.0859997 | − | 0.203300i | ||||
\(345\) | −32.7269 | − | 20.5637i | −1.76196 | − | 1.10711i | ||||
\(346\) | 15.3392 | + | 6.99041i | 0.824642 | + | 0.375807i | ||||
\(347\) | 0.932215 | 0.0500439 | 0.0250220 | − | 0.999687i | \(-0.492034\pi\) | ||||
0.0250220 | + | 0.999687i | \(0.492034\pi\) | |||||||
\(348\) | −7.81918 | + | 25.2704i | −0.419152 | + | 1.35464i | ||||
\(349\) | 0.172044 | 0.00920932 | 0.00460466 | − | 0.999989i | \(-0.498534\pi\) | ||||
0.00460466 | + | 0.999989i | \(0.498534\pi\) | |||||||
\(350\) | −1.79227 | − | 0.816777i | −0.0958010 | − | 0.0436586i | ||||
\(351\) | 0.0332916 | + | 0.0209185i | 0.00177697 | + | 0.00111655i | ||||
\(352\) | −24.0208 | − | 5.63982i | −1.28031 | − | 0.300603i | ||||
\(353\) | 10.9293 | − | 8.71580i | 0.581706 | − | 0.463895i | −0.287887 | − | 0.957664i | \(-0.592953\pi\) |
0.869593 | + | 0.493769i | \(0.164381\pi\) | |||||||
\(354\) | −2.95533 | − | 4.48926i | −0.157074 | − | 0.238601i | ||||
\(355\) | 40.1224 | − | 9.15768i | 2.12948 | − | 0.486039i | ||||
\(356\) | 13.9418 | − | 9.60775i | 0.738916 | − | 0.509210i | ||||
\(357\) | −0.908068 | − | 1.88562i | −0.0480601 | − | 0.0997977i | ||||
\(358\) | −14.8763 | + | 3.72885i | −0.786237 | + | 0.197076i | ||||
\(359\) | −20.0470 | + | 7.01474i | −1.05804 | + | 0.370224i | −0.802548 | − | 0.596587i | \(-0.796523\pi\) |
−0.255491 | + | 0.966811i | \(0.582237\pi\) | |||||||
\(360\) | −29.4648 | − | 4.77941i | −1.55293 | − | 0.251897i | ||||
\(361\) | −15.3553 | + | 31.8857i | −0.808175 | + | 1.67819i | ||||
\(362\) | −17.6423 | − | 3.63512i | −0.927258 | − | 0.191058i | ||||
\(363\) | 19.5863 | − | 2.20685i | 1.02802 | − | 0.115830i | ||||
\(364\) | 0.171660 | − | 0.0918249i | 0.00899743 | − | 0.00481293i | ||||
\(365\) | 11.6923 | + | 11.6923i | 0.612004 | + | 0.612004i | ||||
\(366\) | −0.234978 | − | 11.0835i | −0.0122825 | − | 0.579345i | ||||
\(367\) | 14.5091 | + | 23.0911i | 0.757369 | + | 1.20535i | 0.973434 | + | 0.228967i | \(0.0735346\pi\) |
−0.216066 | + | 0.976379i | \(0.569322\pi\) | |||||||
\(368\) | −13.1345 | + | 12.4335i | −0.684684 | + | 0.648142i | ||||
\(369\) | −19.9713 | − | 6.98827i | −1.03967 | − | 0.363795i | ||||
\(370\) | −28.0041 | − | 2.55550i | −1.45586 | − | 0.132854i | ||||
\(371\) | −0.0748228 | − | 0.0596692i | −0.00388461 | − | 0.00309787i | ||||
\(372\) | −1.21266 | − | 28.5867i | −0.0628733 | − | 1.48215i | ||||
\(373\) | 2.00843 | − | 8.79949i | 0.103992 | − | 0.455620i | −0.895942 | − | 0.444171i | \(-0.853498\pi\) |
0.999934 | − | 0.0114495i | \(-0.00364457\pi\) | |||||||
\(374\) | −20.6316 | + | 17.1810i | −1.06683 | + | 0.888410i | ||||
\(375\) | −2.02312 | + | 17.9557i | −0.104473 | + | 0.927226i | ||||
\(376\) | −6.84585 | − | 9.49675i | −0.353048 | − | 0.489757i | ||||
\(377\) | −2.10307 | + | 1.65703i | −0.108314 | + | 0.0853415i | ||||
\(378\) | 0.0208153 | + | 0.00679190i | 0.00107062 | + | 0.000349338i | ||||
\(379\) | −8.60678 | − | 0.969751i | −0.442100 | − | 0.0498128i | −0.111891 | − | 0.993720i | \(-0.535691\pi\) |
−0.330209 | + | 0.943908i | \(0.607119\pi\) | |||||||
\(380\) | −18.9940 | − | 47.6941i | −0.974372 | − | 2.44665i | ||||
\(381\) | 35.5996 | + | 8.12537i | 1.82382 | + | 0.416275i | ||||
\(382\) | −9.57891 | − | 25.6196i | −0.490100 | − | 1.31081i | ||||
\(383\) | −19.0088 | + | 23.8363i | −0.971303 | + | 1.21798i | 0.00464852 | + | 0.999989i | \(0.498520\pi\) |
−0.975952 | + | 0.217987i | \(0.930051\pi\) | |||||||
\(384\) | −11.1428 | + | 25.4550i | −0.568630 | + | 1.29900i | ||||
\(385\) | 0.981634 | − | 2.80535i | 0.0500287 | − | 0.142974i | ||||
\(386\) | 2.12058 | + | 15.8023i | 0.107935 | + | 0.804318i | ||||
\(387\) | 3.71636 | − | 2.33514i | 0.188913 | − | 0.118702i | ||||
\(388\) | 4.70528 | − | 15.5291i | 0.238874 | − | 0.788372i | ||||
\(389\) | 11.5161 | − | 11.5161i | 0.583887 | − | 0.583887i | −0.352082 | − | 0.935969i | \(-0.614526\pi\) |
0.935969 | + | 0.352082i | \(0.114526\pi\) | |||||||
\(390\) | −4.33921 | − | 4.15905i | −0.219725 | − | 0.210601i | ||||
\(391\) | 2.20348 | + | 19.5564i | 0.111435 | + | 0.989010i | ||||
\(392\) | −14.5834 | + | 13.2304i | −0.736573 | + | 0.668235i | ||||
\(393\) | 12.4636 | + | 6.00214i | 0.628704 | + | 0.302768i | ||||
\(394\) | 7.20313 | + | 14.1805i | 0.362888 | + | 0.714402i | ||||
\(395\) | 7.65967 | + | 21.8901i | 0.385400 | + | 1.10141i | ||||
\(396\) | 1.84495 | − | 26.3872i | 0.0927123 | − | 1.32601i | ||||
\(397\) | −7.83599 | + | 3.77362i | −0.393277 | + | 0.189392i | −0.620062 | − | 0.784552i | \(-0.712893\pi\) |
0.226785 | + | 0.973945i | \(0.427178\pi\) | |||||||
\(398\) | 1.41492 | − | 1.85353i | 0.0709237 | − | 0.0929091i | ||||
\(399\) | 0.789104 | + | 3.45729i | 0.0395046 | + | 0.173081i | ||||
\(400\) | 26.5907 | + | 10.1307i | 1.32954 | + | 0.506536i | ||||
\(401\) | −10.7272 | − | 13.4515i | −0.535690 | − | 0.671734i | 0.438167 | − | 0.898893i | \(-0.355628\pi\) |
−0.973858 | + | 0.227159i | \(0.927056\pi\) | |||||||
\(402\) | 5.34642 | − | 8.92321i | 0.266655 | − | 0.445049i | ||||
\(403\) | 1.54079 | − | 2.45216i | 0.0767523 | − | 0.122151i | ||||
\(404\) | −2.87079 | − | 2.63714i | −0.142827 | − | 0.131203i | ||||
\(405\) | 30.9846i | 1.53964i | ||||||||
\(406\) | −0.911651 | + | 1.17982i | −0.0452445 | + | 0.0585536i | ||||
\(407\) | − | 24.9191i | − | 1.23519i | ||||||
\(408\) | 14.8236 | + | 26.3530i | 0.733880 | + | 1.30467i | ||||
\(409\) | −14.1885 | + | 22.5809i | −0.701577 | + | 1.11655i | 0.285818 | + | 0.958284i | \(0.407735\pi\) |
−0.987396 | + | 0.158270i | \(0.949408\pi\) | |||||||
\(410\) | 29.4631 | + | 17.6531i | 1.45508 | + | 0.871823i | ||||
\(411\) | −31.2392 | − | 39.1727i | −1.54092 | − | 1.93225i | ||||
\(412\) | 21.5037 | − | 5.87718i | 1.05941 | − | 0.289548i | ||||
\(413\) | −0.0674119 | − | 0.295351i | −0.00331712 | − | 0.0145333i | ||||
\(414\) | −15.4119 | − | 11.7649i | −0.757451 | − | 0.578213i | ||||
\(415\) | 33.8875 | − | 16.3193i | 1.66347 | − | 0.801085i | ||||
\(416\) | −2.39067 | + | 1.48152i | −0.117212 | + | 0.0726377i | ||||
\(417\) | 11.1078 | + | 31.7444i | 0.543954 | + | 1.55453i | ||||
\(418\) | 40.5598 | − | 20.6028i | 1.98385 | − | 1.00772i | ||||
\(419\) | −13.1544 | − | 6.33483i | −0.642635 | − | 0.309477i | 0.0840356 | − | 0.996463i | \(-0.473219\pi\) |
−0.726671 | + | 0.686986i | \(0.758933\pi\) | |||||||
\(420\) | −2.90702 | − | 1.65906i | −0.141848 | − | 0.0809540i | ||||
\(421\) | 1.04941 | + | 9.31375i | 0.0511450 | + | 0.453924i | 0.993019 | + | 0.117957i | \(0.0376346\pi\) |
−0.941874 | + | 0.335967i | \(0.890937\pi\) | |||||||
\(422\) | 21.0298 | − | 21.9408i | 1.02371 | − | 1.06806i | ||||
\(423\) | 8.87449 | − | 8.87449i | 0.431492 | − | 0.431492i | ||||
\(424\) | 1.13357 | + | 0.791609i | 0.0550510 | + | 0.0384439i | ||||
\(425\) | 26.2172 | − | 16.4734i | 1.27172 | − | 0.799075i | ||||
\(426\) | 40.7054 | − | 5.46242i | 1.97218 | − | 0.264655i | ||||
\(427\) | 0.206380 | − | 0.589800i | 0.00998743 | − | 0.0285424i | ||||
\(428\) | 1.21686 | − | 2.82753i | 0.0588193 | − | 0.136674i | ||||
\(429\) | 3.32087 | − | 4.16423i | 0.160333 | − | 0.201051i | ||||
\(430\) | −6.67360 | + | 2.49519i | −0.321830 | + | 0.120329i | ||||
\(431\) | −4.44304 | − | 1.01410i | −0.214014 | − | 0.0488473i | 0.114170 | − | 0.993461i | \(-0.463579\pi\) |
−0.328183 | + | 0.944614i | \(0.606436\pi\) | |||||||
\(432\) | −0.306349 | − | 0.0788144i | −0.0147392 | − | 0.00379196i | ||||
\(433\) | −17.4891 | − | 1.97054i | −0.840470 | − | 0.0946983i | −0.318775 | − | 0.947830i | \(-0.603272\pi\) |
−0.521695 | + | 0.853132i | \(0.674700\pi\) | |||||||
\(434\) | 0.500271 | − | 1.53319i | 0.0240138 | − | 0.0735956i | ||||
\(435\) | 43.3605 | + | 15.4589i | 2.07898 | + | 0.741197i | ||||
\(436\) | 1.51793 | + | 1.10862i | 0.0726959 | + | 0.0530931i | ||||
\(437\) | 3.73359 | − | 33.1366i | 0.178602 | − | 1.58514i | ||||
\(438\) | 10.5598 | + | 12.6806i | 0.504566 | + | 0.605901i | ||||
\(439\) | 6.03580 | − | 26.4446i | 0.288073 | − | 1.26213i | −0.599092 | − | 0.800680i | \(-0.704472\pi\) |
0.887166 | − | 0.461451i | \(-0.152671\pi\) | |||||||
\(440\) | −11.5775 | + | 41.3485i | −0.551936 | + | 1.97121i | ||||
\(441\) | −16.5038 | − | 13.1614i | −0.785896 | − | 0.626731i | ||||
\(442\) | −0.278119 | + | 3.04773i | −0.0132288 | + | 0.144966i | ||||
\(443\) | −16.3600 | − | 5.72460i | −0.777286 | − | 0.271984i | −0.0876605 | − | 0.996150i | \(-0.527939\pi\) |
−0.689625 | + | 0.724166i | \(0.742225\pi\) | |||||||
\(444\) | −27.5996 | − | 5.07946i | −1.30982 | − | 0.241060i | ||||
\(445\) | −15.6765 | − | 24.9490i | −0.743138 | − | 1.18270i | ||||
\(446\) | 10.6561 | − | 0.225915i | 0.504579 | − | 0.0106974i | ||||
\(447\) | −18.0859 | − | 18.0859i | −0.855435 | − | 0.855435i | ||||
\(448\) | −1.09077 | + | 1.12396i | −0.0515340 | + | 0.0531021i | ||||
\(449\) | 24.9274 | − | 2.80864i | 1.17640 | − | 0.132548i | 0.497955 | − | 0.867203i | \(-0.334084\pi\) |
0.678441 | + | 0.734655i | \(0.262656\pi\) | |||||||
\(450\) | −6.15615 | + | 29.8776i | −0.290204 | + | 1.40844i | ||||
\(451\) | −13.2059 | + | 27.4224i | −0.621843 | + | 1.29127i | ||||
\(452\) | −5.21761 | − | 33.4810i | −0.245416 | − | 1.57481i | ||||
\(453\) | 41.1988 | − | 14.4161i | 1.93569 | − | 0.677326i | ||||
\(454\) | −3.35561 | − | 13.3873i | −0.157487 | − | 0.628295i | ||||
\(455\) | −0.146993 | − | 0.305235i | −0.00689115 | − | 0.0143096i | ||||
\(456\) | −14.5514 | − | 49.1224i | −0.681431 | − | 2.30037i | ||||
\(457\) | 8.83978 | − | 2.01762i | 0.413507 | − | 0.0943804i | −0.0107058 | − | 0.999943i | \(-0.503408\pi\) |
0.424213 | + | 0.905562i | \(0.360551\pi\) | |||||||
\(458\) | 0.00550237 | − | 0.00362227i | 0.000257109 | − | 0.000169258i | ||||
\(459\) | −0.269109 | + | 0.214608i | −0.0125610 | + | 0.0100170i | ||||
\(460\) | 20.6492 | + | 23.7538i | 0.962773 | + | 1.10752i | ||||
\(461\) | 6.02994 | + | 3.78886i | 0.280842 | + | 0.176465i | 0.665086 | − | 0.746767i | \(-0.268395\pi\) |
−0.384244 | + | 0.923232i | \(0.625538\pi\) | |||||||
\(462\) | 1.23000 | − | 2.69901i | 0.0572247 | − | 0.125569i | ||||
\(463\) | 14.3187 | 0.665448 | 0.332724 | − | 0.943024i | \(-0.392032\pi\) | ||||
0.332724 | + | 0.943024i | \(0.392032\pi\) | |||||||
\(464\) | 12.0609 | − | 17.8475i | 0.559913 | − | 0.828551i | ||||
\(465\) | −49.7926 | −2.30908 | ||||||||
\(466\) | 4.84570 | − | 10.6330i | 0.224473 | − | 0.492565i | ||||
\(467\) | −14.9750 | − | 9.40939i | −0.692959 | − | 0.435415i | 0.138971 | − | 0.990297i | \(-0.455621\pi\) |
−0.831929 | + | 0.554882i | \(0.812764\pi\) | |||||||
\(468\) | −1.97813 | − | 2.27554i | −0.0914390 | − | 0.105187i | ||||
\(469\) | 0.458410 | − | 0.365570i | 0.0211674 | − | 0.0168804i | ||||
\(470\) | −17.0167 | + | 11.2023i | −0.784923 | + | 0.516724i | ||||
\(471\) | −6.33183 | + | 1.44520i | −0.291755 | + | 0.0665912i | ||||
\(472\) | 1.24310 | + | 4.19645i | 0.0572184 | + | 0.193157i | ||||
\(473\) | −2.73940 | − | 5.68843i | −0.125958 | − | 0.261554i | ||||
\(474\) | 5.62717 | + | 22.4497i | 0.258464 | + | 1.03115i | ||||
\(475\) | −49.5200 | + | 17.3278i | −2.27213 | + | 0.795054i | ||||
\(476\) | 0.262422 | + | 1.68394i | 0.0120281 | + | 0.0771833i | ||||
\(477\) | −0.643113 | + | 1.33544i | −0.0294461 | + | 0.0611455i | ||||
\(478\) | −1.14067 | + | 5.53601i | −0.0521731 | + | 0.253211i | ||||
\(479\) | −13.8290 | + | 1.55815i | −0.631862 | + | 0.0711937i | −0.422086 | − | 0.906556i | \(-0.638702\pi\) |
−0.209776 | + | 0.977750i | \(0.567273\pi\) | |||||||
\(480\) | 43.4363 | + | 21.2513i | 1.98259 | + | 0.969983i | ||||
\(481\) | −2.00850 | − | 2.00850i | −0.0915798 | − | 0.0915798i | ||||
\(482\) | −15.8907 | + | 0.336893i | −0.723802 | + | 0.0153451i | ||||
\(483\) | −1.15671 | − | 1.84090i | −0.0526322 | − | 0.0837637i | ||||
\(484\) | −15.7853 | − | 2.90514i | −0.717512 | − | 0.132052i | ||||
\(485\) | −26.6531 | − | 9.32634i | −1.21026 | − | 0.423487i | ||||
\(486\) | −2.84052 | + | 31.1275i | −0.128849 | + | 1.41197i | ||||
\(487\) | 3.88415 | + | 3.09751i | 0.176008 | + | 0.140361i | 0.707531 | − | 0.706682i | \(-0.249809\pi\) |
−0.531524 | + | 0.847043i | \(0.678380\pi\) | |||||||
\(488\) | −2.43407 | + | 8.69317i | −0.110185 | + | 0.393521i | ||||
\(489\) | 3.29396 | − | 14.4318i | 0.148958 | − | 0.652629i | ||||
\(490\) | 21.9278 | + | 26.3317i | 0.990597 | + | 1.18954i | ||||
\(491\) | 3.31438 | − | 29.4159i | 0.149576 | − | 1.32752i | −0.664729 | − | 0.747084i | \(-0.731453\pi\) |
0.814305 | − | 0.580437i | \(-0.197118\pi\) | |||||||
\(492\) | 27.6803 | + | 20.2162i | 1.24792 | + | 0.911416i | ||||
\(493\) | −7.61142 | − | 22.1689i | −0.342801 | − | 0.998438i | ||||
\(494\) | 1.60855 | − | 4.92977i | 0.0723722 | − | 0.221801i | ||||
\(495\) | −45.7428 | − | 5.15398i | −2.05599 | − | 0.231654i | ||||
\(496\) | −5.80523 | + | 22.5647i | −0.260662 | + | 1.01319i | ||||
\(497\) | 2.25689 | + | 0.515121i | 0.101235 | + | 0.0231063i | ||||
\(498\) | 35.1584 | − | 13.1453i | 1.57548 | − | 0.589057i | ||||
\(499\) | −9.81753 | + | 12.3108i | −0.439493 | + | 0.551107i | −0.951410 | − | 0.307928i | \(-0.900364\pi\) |
0.511917 | + | 0.859035i | \(0.328936\pi\) | |||||||
\(500\) | 5.81660 | − | 13.5156i | 0.260126 | − | 0.604435i | ||||
\(501\) | 3.22509 | − | 9.21677i | 0.144086 | − | 0.411775i | ||||
\(502\) | −7.67797 | + | 1.03034i | −0.342684 | + | 0.0459862i | ||||
\(503\) | 32.0913 | − | 20.1643i | 1.43088 | − | 0.899082i | 0.430886 | − | 0.902406i | \(-0.358201\pi\) |
0.999994 | + | 0.00332484i | \(0.00105833\pi\) | |||||||
\(504\) | −1.37662 | − | 0.961338i | −0.0613195 | − | 0.0428214i | ||||
\(505\) | −4.79687 | + | 4.79687i | −0.213458 | + | 0.213458i | ||||
\(506\) | −19.2995 | + | 20.1355i | −0.857967 | + | 0.895134i | ||||
\(507\) | 3.50690 | + | 31.1246i | 0.155747 | + | 1.38229i | ||||
\(508\) | −25.8250 | − | 14.7386i | −1.14580 | − | 0.653918i | ||||
\(509\) | 9.17584 | + | 4.41885i | 0.406712 | + | 0.195862i | 0.626043 | − | 0.779788i | \(-0.284673\pi\) |
−0.219331 | + | 0.975650i | \(0.570388\pi\) | |||||||
\(510\) | 46.9128 | − | 23.8299i | 2.07733 | − | 1.05521i | ||||
\(511\) | 0.307200 | + | 0.877927i | 0.0135897 | + | 0.0388372i | ||||
\(512\) | 14.6947 | − | 17.2066i | 0.649420 | − | 0.760430i | ||||
\(513\) | 0.525465 | − | 0.253051i | 0.0231998 | − | 0.0111725i | ||||
\(514\) | −7.95038 | − | 6.06906i | −0.350676 | − | 0.267695i | ||||
\(515\) | −8.63252 | − | 37.8216i | −0.380394 | − | 1.66662i | ||||
\(516\) | −6.85871 | + | 1.87455i | −0.301938 | + | 0.0825227i | ||||
\(517\) | −11.2563 | − | 14.1149i | −0.495050 | − | 0.620773i | ||||
\(518\) | −1.35687 | − | 0.812981i | −0.0596174 | − | 0.0357204i | ||||
\(519\) | 15.5754 | − | 24.7882i | 0.683686 | − | 1.08808i | ||||
\(520\) | 2.39957 | + | 4.26589i | 0.105228 | + | 0.187072i | ||||
\(521\) | − | 43.1520i | − | 1.89052i | −0.326315 | − | 0.945261i | \(-0.605807\pi\) | ||
0.326315 | − | 0.945261i | \(-0.394193\pi\) | |||||||
\(522\) | 20.9568 | + | 9.69946i | 0.917252 | + | 0.424534i | ||||
\(523\) | − | 3.32242i | − | 0.145279i | −0.997358 | − | 0.0726397i | \(-0.976858\pi\) | ||
0.997358 | − | 0.0726397i | \(-0.0231423\pi\) | |||||||
\(524\) | −8.29588 | − | 7.62070i | −0.362407 | − | 0.332912i | ||||
\(525\) | −1.81987 | + | 2.89631i | −0.0794258 | + | 0.126405i | ||||
\(526\) | −19.4556 | + | 32.4715i | −0.848306 | + | 1.41583i | ||||
\(527\) | 15.8074 | + | 19.8218i | 0.688579 | + | 0.863451i | ||||
\(528\) | −15.2560 | + | 40.0434i | −0.663933 | + | 1.74266i | ||||
\(529\) | −0.568709 | − | 2.49168i | −0.0247265 | − | 0.108334i | ||||
\(530\) | 1.45996 | − | 1.91253i | 0.0634167 | − | 0.0830750i | ||||
\(531\) | −4.22736 | + | 2.03579i | −0.183452 | + | 0.0883457i | ||||
\(532\) | 0.201413 | − | 2.88069i | 0.00873237 | − | 0.124894i | ||||
\(533\) | 1.14586 | + | 3.27468i | 0.0496328 | + | 0.141842i | ||||
\(534\) | −13.3171 | − | 26.2168i | −0.576288 | − | 1.13451i | ||||
\(535\) | −4.82642 | − | 2.32428i | −0.208664 | − | 0.100487i | ||||
\(536\) | −6.27368 | + | 5.69162i | −0.270982 | + | 0.245840i | ||||
\(537\) | 2.98215 | + | 26.4673i | 0.128689 | + | 1.14215i | ||||
\(538\) | −29.9428 | − | 28.6996i | −1.29093 | − | 1.23733i | ||||
\(539\) | −21.4715 | + | 21.4715i | −0.924844 | + | 0.924844i | ||||
\(540\) | −0.159628 | + | 0.526829i | −0.00686929 | + | 0.0226711i | ||||
\(541\) | 12.4014 | − | 7.79230i | 0.533177 | − | 0.335017i | −0.238386 | − | 0.971171i | \(-0.576618\pi\) |
0.771563 | + | 0.636153i | \(0.219475\pi\) | |||||||
\(542\) | −1.34765 | − | 10.0425i | −0.0578864 | − | 0.431363i | ||||
\(543\) | −10.3321 | + | 29.5274i | −0.443392 | + | 1.26714i | ||||
\(544\) | −5.32961 | − | 24.0380i | −0.228505 | − | 1.03062i | ||||
\(545\) | 2.03949 | − | 2.55744i | 0.0873620 | − | 0.109549i | ||||
\(546\) | −0.118404 | − | 0.316682i | −0.00506723 | − | 0.0135527i | ||||
\(547\) | 21.7226 | + | 4.95803i | 0.928789 | + | 0.211990i | 0.660049 | − | 0.751223i | \(-0.270535\pi\) |
0.268740 | + | 0.963213i | \(0.413393\pi\) | |||||||
\(548\) | 15.0955 | + | 37.9050i | 0.644849 | + | 1.61922i | ||||
\(549\) | −9.61703 | − | 1.08358i | −0.410445 | − | 0.0462460i | ||||
\(550\) | 41.7168 | + | 13.6119i | 1.77881 | + | 0.580415i | ||||
\(551\) | 4.21490 | + | 39.4912i | 0.179561 | + | 1.68238i | ||||
\(552\) | 18.3675 | + | 25.4799i | 0.781773 | + | 1.08450i | ||||
\(553\) | −0.146061 | + | 1.29632i | −0.00621113 | + | 0.0551253i | ||||
\(554\) | 7.72986 | − | 6.43707i | 0.328410 | − | 0.273485i | ||||
\(555\) | −10.8672 | + | 47.6122i | −0.461285 | + | 2.02102i | ||||
\(556\) | −1.16071 | − | 27.3622i | −0.0492252 | − | 1.16041i | ||||
\(557\) | 21.1909 | + | 16.8992i | 0.897886 | + | 0.716040i | 0.959395 | − | 0.282066i | \(-0.0910198\pi\) |
−0.0615090 | + | 0.998107i | \(0.519591\pi\) | |||||||
\(558\) | −24.8747 | − | 2.26993i | −1.05303 | − | 0.0960937i | ||||
\(559\) | −0.679291 | − | 0.237694i | −0.0287310 | − | 0.0100534i | ||||
\(560\) | 1.87376 | + | 1.97940i | 0.0791806 | + | 0.0836448i | ||||
\(561\) | 24.8075 | + | 39.4809i | 1.04737 | + | 1.66689i | ||||
\(562\) | 0.0911993 | + | 4.30172i | 0.00384701 | + | 0.181457i | ||||
\(563\) | 15.2954 | + | 15.2954i | 0.644623 | + | 0.644623i | 0.951688 | − | 0.307066i | \(-0.0993472\pi\) |
−0.307066 | + | 0.951688i | \(0.599347\pi\) | |||||||
\(564\) | −17.9277 | + | 9.58992i | −0.754891 | + | 0.403808i | ||||
\(565\) | −58.5976 | + | 6.60236i | −2.46522 | + | 0.277763i | ||||
\(566\) | 28.7082 | + | 5.91520i | 1.20669 | + | 0.248634i | ||||
\(567\) | −0.756211 | + | 1.57029i | −0.0317579 | + | 0.0659459i | ||||
\(568\) | −33.0126 | − | 5.35490i | −1.38518 | − | 0.224687i | ||||
\(569\) | −29.5183 | + | 10.3289i | −1.23747 | + | 0.433010i | −0.868155 | − | 0.496293i | \(-0.834694\pi\) |
−0.369317 | + | 0.929304i | \(0.620408\pi\) | |||||||
\(570\) | −86.4813 | + | 21.6772i | −3.62230 | + | 0.907956i | ||||
\(571\) | 5.41272 | + | 11.2396i | 0.226515 | + | 0.470364i | 0.982990 | − | 0.183659i | \(-0.0587943\pi\) |
−0.756475 | + | 0.654023i | \(0.773080\pi\) | |||||||
\(572\) | −3.57135 | + | 2.46113i | −0.149326 | + | 0.102905i | ||||
\(573\) | −46.3107 | + | 10.5701i | −1.93466 | + | 0.441573i | ||||
\(574\) | 1.06234 | + | 1.61373i | 0.0443411 | + | 0.0673558i | ||||
\(575\) | 25.1478 | − | 20.0547i | 1.04874 | − | 0.836339i | ||||
\(576\) | 20.7306 | + | 12.5966i | 0.863774 | + | 0.524858i | ||||
\(577\) | 36.4983 | + | 22.9334i | 1.51944 | + | 0.954729i | 0.994628 | + | 0.103512i | \(0.0330082\pi\) |
0.524814 | + | 0.851217i | \(0.324135\pi\) | |||||||
\(578\) | −2.50251 | − | 1.14045i | −0.104091 | − | 0.0474363i | ||||
\(579\) | 27.6898 | 1.15075 | ||||||||
\(580\) | −30.1416 | − | 22.2864i | −1.25156 | − | 0.925392i | ||||
\(581\) | 2.11570 | 0.0877738 | ||||||||
\(582\) | −25.6429 | − | 11.6860i | −1.06293 | − | 0.484400i | ||||
\(583\) | 1.80536 | + | 1.13438i | 0.0747702 | + | 0.0469813i | ||||
\(584\) | −5.23521 | − | 12.3758i | −0.216634 | − | 0.512115i | ||||
\(585\) | −4.10233 | + | 3.27150i | −0.169610 | + | 0.135260i | ||||
\(586\) | −19.1439 | − | 29.0802i | −0.790826 | − | 1.20129i | ||||
\(587\) | 46.1515 | − | 10.5338i | 1.90488 | − | 0.434776i | 0.904918 | − | 0.425585i | \(-0.139932\pi\) |
0.999958 | − | 0.00919056i | \(-0.00292549\pi\) | |||||||
\(588\) | 19.4044 | + | 28.1579i | 0.800226 | + | 1.16121i | ||||
\(589\) | −18.6389 | − | 38.7042i | −0.768004 | − | 1.59478i | ||||
\(590\) | 7.38797 | − | 1.85185i | 0.304158 | − | 0.0762393i | ||||
\(591\) | 26.0721 | − | 9.12303i | 1.07246 | − | 0.375271i | ||||
\(592\) | 20.3096 | + | 10.4757i | 0.834720 | + | 0.430550i | ||||
\(593\) | 15.2153 | − | 31.5949i | 0.624818 | − | 1.29745i | −0.312813 | − | 0.949815i | \(-0.601271\pi\) |
0.937631 | − | 0.347633i | \(-0.113014\pi\) | |||||||
\(594\) | −0.477775 | − | 0.0984436i | −0.0196034 | − | 0.00403919i | ||||
\(595\) | 2.94719 | − | 0.332068i | 0.120823 | − | 0.0136135i | ||||
\(596\) | 9.82414 | + | 18.3655i | 0.402412 | + | 0.752282i | ||||
\(597\) | −2.86359 | − | 2.86359i | −0.117199 | − | 0.117199i | ||||
\(598\) | 0.0673862 | + | 3.17850i | 0.00275563 | + | 0.129979i | ||||
\(599\) | −21.5394 | − | 34.2797i | −0.880075 | − | 1.40063i | −0.915958 | − | 0.401275i | \(-0.868567\pi\) |
0.0358827 | − | 0.999356i | \(-0.488576\pi\) | |||||||
\(600\) | 23.5796 | − | 43.4296i | 0.962634 | − | 1.77300i | ||||
\(601\) | 12.1808 | + | 4.26225i | 0.496866 | + | 0.173861i | 0.567067 | − | 0.823672i | \(-0.308078\pi\) |
−0.0702007 | + | 0.997533i | \(0.522364\pi\) | |||||||
\(602\) | −0.399114 | − | 0.0364208i | −0.0162667 | − | 0.00148440i | ||||
\(603\) | −7.09982 | − | 5.66192i | −0.289127 | − | 0.230571i | ||||
\(604\) | −35.5114 | + | 1.50641i | −1.44494 | + | 0.0612948i | ||||
\(605\) | −6.21536 | + | 27.2313i | −0.252690 | + | 1.10711i | ||||
\(606\) | −5.20231 | + | 4.33224i | −0.211329 | + | 0.175985i | ||||
\(607\) | −5.26455 | + | 46.7242i | −0.213682 | + | 1.89648i | 0.190327 | + | 0.981721i | \(0.439045\pi\) |
−0.404008 | + | 0.914755i | \(0.632383\pi\) | |||||||
\(608\) | −0.259179 | + | 41.7184i | −0.0105111 | + | 1.69191i | ||||
\(609\) | 1.82021 | + | 1.84171i | 0.0737585 | + | 0.0746299i | ||||
\(610\) | 14.9351 | + | 4.87324i | 0.604705 | + | 0.197312i | ||||
\(611\) | −2.04494 | − | 0.230410i | −0.0827295 | − | 0.00932137i | ||||
\(612\) | 24.5224 | − | 9.76599i | 0.991261 | − | 0.394767i | ||||
\(613\) | 33.6207 | + | 7.67371i | 1.35793 | + | 0.309938i | 0.838651 | − | 0.544668i | \(-0.183344\pi\) |
0.519276 | + | 0.854607i | \(0.326202\pi\) | |||||||
\(614\) | −0.163263 | − | 0.436660i | −0.00658875 | − | 0.0176222i | ||||
\(615\) | 37.1911 | − | 46.6361i | 1.49969 | − | 1.88055i | ||||
\(616\) | −1.59590 | + | 1.81297i | −0.0643005 | + | 0.0730466i | ||||
\(617\) | −9.86746 | + | 28.1996i | −0.397249 | + | 1.13527i | 0.555501 | + | 0.831516i | \(0.312527\pi\) |
−0.952750 | + | 0.303756i | \(0.901759\pi\) | |||||||
\(618\) | −5.14917 | − | 38.3711i | −0.207130 | − | 1.54351i | ||||
\(619\) | −7.16604 | + | 4.50272i | −0.288028 | + | 0.180980i | −0.668294 | − | 0.743897i | \(-0.732975\pi\) |
0.380266 | + | 0.924877i | \(0.375832\pi\) | |||||||
\(620\) | 38.8047 | + | 11.7577i | 1.55843 | + | 0.472201i | ||||
\(621\) | −0.252839 | + | 0.252839i | −0.0101461 | + | 0.0101461i | ||||
\(622\) | −7.11268 | − | 6.81735i | −0.285192 | − | 0.273351i | ||||
\(623\) | −0.185574 | − | 1.64701i | −0.00743485 | − | 0.0659861i | ||||
\(624\) | 1.99789 | + | 4.45718i | 0.0799795 | + | 0.178430i | ||||
\(625\) | 8.97627 | + | 4.32274i | 0.359051 | + | 0.172910i | ||||
\(626\) | −1.58594 | − | 3.12218i | −0.0633871 | − | 0.124787i | ||||
\(627\) | −26.0942 | − | 74.5730i | −1.04210 | − | 2.97816i | ||||
\(628\) | 5.27582 | + | 0.368877i | 0.210528 | + | 0.0147198i | ||||
\(629\) | 22.4037 | − | 10.7891i | 0.893295 | − | 0.430188i | ||||
\(630\) | −1.77299 | + | 2.32260i | −0.0706377 | + | 0.0925344i | ||||
\(631\) | 5.32137 | + | 23.3144i | 0.211840 | + | 0.928133i | 0.963315 | + | 0.268372i | \(0.0864855\pi\) |
−0.751475 | + | 0.659761i | \(0.770657\pi\) | |||||||
\(632\) | 0.915725 | − | 18.8244i | 0.0364256 | − | 0.748794i | ||||
\(633\) | −32.9083 | − | 41.2658i | −1.30799 | − | 1.64017i | ||||
\(634\) | −8.91647 | + | 14.8816i | −0.354118 | + | 0.591025i | ||||
\(635\) | −27.5304 | + | 43.8144i | −1.09251 | + | 1.73872i | ||||
\(636\) | 1.62440 | − | 1.76832i | 0.0644118 | − | 0.0701186i | ||||
\(637\) | 3.46125i | 0.137140i | ||||||||
\(638\) | 17.2401 | − | 28.3943i | 0.682543 | − | 1.12414i | ||||
\(639\) | − | 35.8535i | − | 1.41834i | ||||||
\(640\) | −28.8329 | − | 26.8184i | −1.13972 | − | 1.06009i | ||||
\(641\) | 19.1359 | − | 30.4547i | 0.755824 | − | 1.20289i | −0.218081 | − | 0.975931i | \(-0.569980\pi\) |
0.973905 | − | 0.226956i | \(-0.0728775\pi\) | |||||||
\(642\) | −4.58585 | − | 2.74765i | −0.180989 | − | 0.108441i | ||||
\(643\) | −15.0335 | − | 18.8514i | −0.592862 | − | 0.743426i | 0.391384 | − | 0.920227i | \(-0.371996\pi\) |
−0.984247 | + | 0.176801i | \(0.943425\pi\) | |||||||
\(644\) | 0.466758 | + | 1.70780i | 0.0183928 | + | 0.0672967i | ||||
\(645\) | 2.75338 | + | 12.0634i | 0.108414 | + | 0.474995i | ||||
\(646\) | 36.0841 | + | 27.5454i | 1.41971 | + | 1.08376i | ||||
\(647\) | 20.2073 | − | 9.73131i | 0.794430 | − | 0.382577i | 0.00777475 | − | 0.999970i | \(-0.497525\pi\) |
0.786655 | + | 0.617392i | \(0.211811\pi\) | |||||||
\(648\) | 9.46129 | − | 23.3346i | 0.371674 | − | 0.916668i | ||||
\(649\) | 2.22919 | + | 6.37066i | 0.0875034 | + | 0.250070i | ||||
\(650\) | 4.45955 | − | 2.26528i | 0.174918 | − | 0.0888516i | ||||
\(651\) | −2.52347 | − | 1.21524i | −0.0989027 | − | 0.0476290i | ||||
\(652\) | −5.97491 | + | 10.4693i | −0.233995 | + | 0.410008i | ||||
\(653\) | 2.92437 | + | 25.9545i | 0.114440 | + | 1.01568i | 0.911364 | + | 0.411601i | \(0.135030\pi\) |
−0.796925 | + | 0.604079i | \(0.793541\pi\) | |||||||
\(654\) | 2.25884 | − | 2.35669i | 0.0883276 | − | 0.0921539i | ||||
\(655\) | −13.8618 | + | 13.8618i | −0.541626 | + | 0.541626i | ||||
\(656\) | −16.7982 | − | 22.2913i | −0.655861 | − | 0.870327i | ||||
\(657\) | 12.1976 | − | 7.66428i | 0.475875 | − | 0.299012i | ||||
\(658\) | −1.13581 | + | 0.152418i | −0.0442783 | + | 0.00594189i | ||||
\(659\) | −11.7060 | + | 33.4538i | −0.456001 | + | 1.30318i | 0.454897 | + | 0.890544i | \(0.349676\pi\) |
−0.910898 | + | 0.412632i | \(0.864610\pi\) | |||||||
\(660\) | 68.4974 | + | 29.4787i | 2.66626 | + | 1.14746i | ||||
\(661\) | −15.2997 | + | 19.1852i | −0.595089 | + | 0.746218i | −0.984604 | − | 0.174803i | \(-0.944071\pi\) |
0.389515 | + | 0.921020i | \(0.372643\pi\) | |||||||
\(662\) | 19.9831 | − | 7.47145i | 0.776663 | − | 0.290386i | ||||
\(663\) | 5.18171 | + | 1.18269i | 0.201241 | + | 0.0459319i | ||||
\(664\) | −30.5039 | + | 1.94243i | −1.18378 | + | 0.0753810i | ||||
\(665\) | −4.99374 | − | 0.562660i | −0.193649 | − | 0.0218190i | ||||
\(666\) | −7.59941 | + | 23.2901i | −0.294471 | + | 0.902472i | ||||
\(667\) | −10.4357 | − | 21.9995i | −0.404072 | − | 0.851825i | ||||
\(668\) | −4.68978 | + | 6.42132i | −0.181453 | + | 0.248448i | ||||
\(669\) | 2.07251 | − | 18.3941i | 0.0801280 | − | 0.711156i | ||||
\(670\) | 9.43318 | + | 11.3277i | 0.364436 | + | 0.437627i | ||||
\(671\) | −3.09783 | + | 13.5725i | −0.119591 | + | 0.523960i | ||||
\(672\) | 1.68268 | + | 2.13712i | 0.0649108 | + | 0.0824410i | ||||
\(673\) | 19.3783 | + | 15.4537i | 0.746979 | + | 0.595696i | 0.921236 | − | 0.389004i | \(-0.127181\pi\) |
−0.174257 | + | 0.984700i | \(0.555752\pi\) | |||||||
\(674\) | 3.64376 | − | 39.9297i | 0.140352 | − | 1.53803i | ||||
\(675\) | 0.530997 | + | 0.185804i | 0.0204381 | + | 0.00715160i | ||||
\(676\) | 4.61655 | − | 25.0843i | 0.177560 | − | 0.964782i | ||||
\(677\) | 15.0146 | + | 23.8956i | 0.577058 | + | 0.918382i | 0.999926 | + | 0.0121908i | \(0.00388053\pi\) |
−0.422868 | + | 0.906191i | \(0.638977\pi\) | |||||||
\(678\) | −58.8348 | + | 1.24733i | −2.25954 | + | 0.0479036i | ||||
\(679\) | −1.12315 | − | 1.12315i | −0.0431027 | − | 0.0431027i | ||||
\(680\) | −42.1874 | + | 7.49356i | −1.61781 | + | 0.287365i | ||||
\(681\) | −23.8181 | + | 2.68365i | −0.912711 | + | 0.102838i | ||||
\(682\) | −7.25106 | + | 35.1915i | −0.277657 | + | 1.34755i | ||||
\(683\) | 2.61059 | − | 5.42094i | 0.0998914 | − | 0.207427i | −0.845034 | − | 0.534713i | \(-0.820420\pi\) |
0.944925 | + | 0.327286i | \(0.106134\pi\) | |||||||
\(684\) | −44.1915 | + | 6.88671i | −1.68970 | + | 0.263320i | ||||
\(685\) | 67.0180 | − | 23.4506i | 2.56063 | − | 0.896002i | ||||
\(686\) | 0.939863 | + | 3.74960i | 0.0358841 | + | 0.143160i | ||||
\(687\) | −0.00496393 | − | 0.0103077i | −0.000189386 | − | 0.000393264i | ||||
\(688\) | 5.78782 | + | 0.158684i | 0.220659 | + | 0.00604975i | ||||
\(689\) | 0.236946 | − | 0.0540813i | 0.00902691 | − | 0.00206033i | ||||
\(690\) | 45.6561 | − | 30.0559i | 1.73810 | − | 1.14421i | ||||
\(691\) | 0.419072 | − | 0.334198i | 0.0159422 | − | 0.0127135i | −0.615486 | − | 0.788148i | \(-0.711040\pi\) |
0.631429 | + | 0.775434i | \(0.282469\pi\) | |||||||
\(692\) | −17.9917 | + | 15.6402i | −0.683940 | + | 0.594550i | ||||
\(693\) | −2.19244 | − | 1.37760i | −0.0832840 | − | 0.0523308i | ||||
\(694\) | −0.546706 | + | 1.19965i | −0.0207527 | + | 0.0455381i | ||||
\(695\) | −47.6597 | −1.80783 | ||||||||
\(696\) | −27.9344 | − | 24.8825i | −1.05885 | − | 0.943167i | ||||
\(697\) | −30.3721 | −1.15042 | ||||||||
\(698\) | −0.100897 | + | 0.221401i | −0.00381901 | + | 0.00838014i | ||||
\(699\) | −17.1830 | − | 10.7968i | −0.649919 | − | 0.408371i | ||||
\(700\) | 2.10219 | − | 1.82744i | 0.0794553 | − | 0.0690706i | ||||
\(701\) | −18.6507 | + | 14.8734i | −0.704428 | + | 0.561762i | −0.908851 | − | 0.417120i | \(-0.863039\pi\) |
0.204424 | + | 0.978882i | \(0.434468\pi\) | |||||||
\(702\) | −0.0464438 | + | 0.0305745i | −0.00175291 | + | 0.00115396i | ||||
\(703\) | −41.0772 | + | 9.37561i | −1.54926 | + | 0.353608i | ||||
\(704\) | 21.3450 | − | 27.6044i | 0.804470 | − | 1.04038i | ||||
\(705\) | 15.3515 | + | 31.8778i | 0.578172 | + | 1.20059i | ||||
\(706\) | 4.80663 | + | 19.1761i | 0.180900 | + | 0.721703i | ||||
\(707\) | −0.360177 | + | 0.126031i | −0.0135458 | + | 0.00473990i | ||||
\(708\) | 7.51033 | − | 1.17040i | 0.282256 | − | 0.0439862i | ||||
\(709\) | −11.9599 | + | 24.8349i | −0.449162 | + | 0.932694i | 0.546305 | + | 0.837586i | \(0.316034\pi\) |
−0.995467 | + | 0.0951080i | \(0.969680\pi\) | |||||||
\(710\) | −11.7453 | + | 57.0034i | −0.440794 | + | 2.13930i | ||||
\(711\) | 20.0774 | − | 2.26218i | 0.752961 | − | 0.0848383i | ||||
\(712\) | 4.18771 | + | 23.5761i | 0.156941 | + | 0.883550i | ||||
\(713\) | 18.6233 | + | 18.6233i | 0.697449 | + | 0.697449i | ||||
\(714\) | 2.95912 | − | 0.0627352i | 0.110742 | − | 0.00234780i | ||||
\(715\) | 4.01571 | + | 6.39096i | 0.150179 | + | 0.239008i | ||||
\(716\) | 3.92576 | − | 21.3309i | 0.146712 | − | 0.797172i | ||||
\(717\) | 9.26545 | + | 3.24212i | 0.346024 | + | 0.121079i | ||||
\(718\) | 2.72960 | − | 29.9120i | 0.101868 | − | 1.11630i | ||||
\(719\) | −15.1751 | − | 12.1017i | −0.565935 | − | 0.451318i | 0.298253 | − | 0.954487i | \(-0.403596\pi\) |
−0.864188 | + | 0.503169i | \(0.832167\pi\) | |||||||
\(720\) | 23.4304 | − | 35.1148i | 0.873201 | − | 1.30865i | ||||
\(721\) | 0.485581 | − | 2.12747i | 0.0180840 | − | 0.0792311i | ||||
\(722\) | −32.0278 | − | 38.4601i | −1.19195 | − | 1.43134i | ||||
\(723\) | −3.09061 | + | 27.4299i | −0.114941 | + | 1.02013i | ||||
\(724\) | 15.0245 | − | 20.5717i | 0.558379 | − | 0.764541i | ||||
\(725\) | −24.0607 | + | 29.8104i | −0.893592 | + | 1.10713i | ||||
\(726\) | −8.64664 | + | 26.4995i | −0.320907 | + | 0.983491i | ||||
\(727\) | 29.1778 | + | 3.28755i | 1.08215 | + | 0.121929i | 0.634985 | − | 0.772525i | \(-0.281006\pi\) |
0.447162 | + | 0.894453i | \(0.352435\pi\) | |||||||
\(728\) | 0.0174961 | + | 0.274758i | 0.000648448 | + | 0.0101832i | ||||
\(729\) | 26.8850 | + | 6.13633i | 0.995742 | + | 0.227272i | ||||
\(730\) | −21.9037 | + | 8.18957i | −0.810693 | + | 0.303110i | ||||
\(731\) | 3.92817 | − | 4.92577i | 0.145289 | − | 0.182186i | ||||
\(732\) | 14.4010 | + | 6.19765i | 0.532276 | + | 0.229072i | ||||
\(733\) | 9.04224 | − | 25.8412i | 0.333983 | − | 0.954468i | −0.647357 | − | 0.762187i | \(-0.724126\pi\) |
0.981340 | − | 0.192281i | \(-0.0615886\pi\) | |||||||
\(734\) | −38.2245 | + | 5.12951i | −1.41089 | + | 0.189333i | ||||
\(735\) | 50.3887 | − | 31.6613i | 1.85862 | − | 1.16785i | ||||
\(736\) | −8.29761 | − | 24.1943i | −0.305854 | − | 0.891815i | ||||
\(737\) | −9.23690 | + | 9.23690i | −0.340245 | + | 0.340245i | ||||
\(738\) | 20.7055 | − | 21.6024i | 0.762179 | − | 0.795196i | ||||
\(739\) | −3.41423 | − | 30.3021i | −0.125594 | − | 1.11468i | −0.885498 | − | 0.464644i | \(-0.846182\pi\) |
0.759903 | − | 0.650036i | \(-0.225246\pi\) | |||||||
\(740\) | 19.7119 | − | 34.5393i | 0.724624 | − | 1.26969i | ||||
\(741\) | −8.11388 | − | 3.90744i | −0.298071 | − | 0.143543i | ||||
\(742\) | 0.120668 | − | 0.0612945i | 0.00442985 | − | 0.00225019i | ||||
\(743\) | −2.29797 | − | 6.56721i | −0.0843043 | − | 0.240928i | 0.894012 | − | 0.448042i | \(-0.147879\pi\) |
−0.978317 | + | 0.207114i | \(0.933593\pi\) | |||||||
\(744\) | 37.4989 | + | 15.2044i | 1.37478 | + | 0.557420i | ||||
\(745\) | 32.6564 | − | 15.7265i | 1.19644 | − | 0.576174i | ||||
\(746\) | 10.1460 | + | 7.74515i | 0.371473 | + | 0.283570i | ||||
\(747\) | −7.29151 | − | 31.9462i | −0.266782 | − | 1.16885i | ||||
\(748\) | −10.0104 | − | 36.6264i | −0.366015 | − | 1.33919i | ||||
\(749\) | −0.187875 | − | 0.235588i | −0.00686480 | − | 0.00860819i | ||||
\(750\) | −21.9203 | − | 13.1338i | −0.800417 | − | 0.479578i | ||||
\(751\) | 7.18704 | − | 11.4381i | 0.262259 | − | 0.417382i | −0.689474 | − | 0.724310i | \(-0.742158\pi\) |
0.951733 | + | 0.306928i | \(0.0993011\pi\) | |||||||
\(752\) | 16.2360 | − | 3.24035i | 0.592066 | − | 0.118163i | ||||
\(753\) | 13.4538i | 0.490283i | ||||||||
\(754\) | −0.899040 | − | 3.67818i | −0.0327411 | − | 0.133952i | ||||
\(755\) | 61.8541i | 2.25110i | ||||||||
\(756\) | −0.0209477 | + | 0.0228037i | −0.000761861 | + | 0.000829361i | ||||
\(757\) | 7.51733 | − | 11.9638i | 0.273222 | − | 0.434830i | −0.681724 | − | 0.731609i | \(-0.738770\pi\) |
0.954946 | + | 0.296779i | \(0.0959125\pi\) | |||||||
\(758\) | 6.29548 | − | 10.5072i | 0.228662 | − | 0.381638i | ||||
\(759\) | 30.2007 | + | 37.8705i | 1.09622 | + | 1.37461i | ||||
\(760\) | 72.5159 | + | 3.52759i | 2.63043 | + | 0.127959i | ||||
\(761\) | −1.84499 | − | 8.08341i | −0.0668807 | − | 0.293023i | 0.930416 | − | 0.366506i | \(-0.119446\pi\) |
−0.997297 | + | 0.0734822i | \(0.976589\pi\) | |||||||
\(762\) | −31.3341 | + | 41.0472i | −1.13511 | + | 1.48698i | ||||
\(763\) | 0.165777 | − | 0.0798342i | 0.00600155 | − | 0.00289019i | ||||
\(764\) | 38.5871 | + | 2.69795i | 1.39603 | + | 0.0976084i | ||||
\(765\) | −15.1713 | − | 43.3570i | −0.548518 | − | 1.56758i | ||||
\(766\) | −19.5266 | − | 38.4411i | −0.705524 | − | 1.38893i | ||||
\(767\) | 0.693156 | + | 0.333807i | 0.0250284 | + | 0.0120531i | ||||
\(768\) | −26.2228 | − | 29.2679i | −0.946234 | − | 1.05611i | ||||
\(769\) | −0.207866 | − | 1.84486i | −0.00749584 | − | 0.0665274i | 0.989407 | − | 0.145165i | \(-0.0463714\pi\) |
−0.996903 | + | 0.0786380i | \(0.974943\pi\) | |||||||
\(770\) | 3.03447 | + | 2.90847i | 0.109355 | + | 0.104814i | ||||
\(771\) | −12.2828 | + | 12.2828i | −0.442356 | + | 0.442356i | ||||
\(772\) | −21.5794 | − | 6.53849i | −0.776659 | − | 0.235325i | ||||
\(773\) | −17.5697 | + | 11.0398i | −0.631937 | + | 0.397073i | −0.809569 | − | 0.587024i | \(-0.800299\pi\) |
0.177632 | + | 0.984097i | \(0.443156\pi\) | |||||||
\(774\) | 0.825560 | + | 6.15198i | 0.0296741 | + | 0.221128i | ||||
\(775\) | 13.6858 | − | 39.1117i | 0.491607 | − | 1.40493i | ||||
\(776\) | 17.2247 | + | 15.1623i | 0.618330 | + | 0.544296i | ||||
\(777\) | −1.71277 | + | 2.14774i | −0.0614452 | + | 0.0770499i | ||||
\(778\) | 8.06611 | + | 21.5735i | 0.289184 | + | 0.773448i | ||||
\(779\) | 50.1724 | + | 11.4515i | 1.79761 | + | 0.410293i | ||||
\(780\) | 7.89697 | − | 3.14494i | 0.282757 | − | 0.112607i | ||||
\(781\) | −51.2507 | − | 5.77456i | −1.83389 | − | 0.206630i | ||||
\(782\) | −26.4590 | − | 8.63343i | −0.946174 | − | 0.308731i | ||||
\(783\) | 0.228687 | − | 0.359253i | 0.00817262 | − | 0.0128387i | ||||
\(784\) | −8.47337 | − | 26.5262i | −0.302620 | − | 0.947365i | ||||
\(785\) | 1.03048 | − | 9.14575i | 0.0367794 | − | 0.326426i | ||||
\(786\) | −15.0334 | + | 12.5191i | −0.536225 | + | 0.446543i | ||||
\(787\) | 8.66190 | − | 37.9503i | 0.308763 | − | 1.35278i | −0.547744 | − | 0.836646i | \(-0.684513\pi\) |
0.856507 | − | 0.516135i | \(-0.172630\pi\) | |||||||
\(788\) | −22.4729 | + | 0.953309i | −0.800565 | + | 0.0339602i | ||||
\(789\) | 51.3981 | + | 40.9886i | 1.82982 | + | 1.45923i | ||||
\(790\) | −32.6620 | − | 2.98055i | −1.16206 | − | 0.106043i | ||||
\(791\) | −3.13084 | − | 1.09553i | −0.111320 | − | 0.0389525i | ||||
\(792\) | 32.8752 | + | 17.8492i | 1.16817 | + | 0.634245i | ||||
\(793\) | 0.844268 | + | 1.34364i | 0.0299808 | + | 0.0477142i | ||||
\(794\) | −0.260706 | − | 12.2971i | −0.00925210 | − | 0.436407i | ||||
\(795\) | −2.95474 | − | 2.95474i | −0.104794 | − | 0.104794i | ||||
\(796\) | 1.55548 | + | 2.90786i | 0.0551325 | + | 0.103066i | ||||
\(797\) | 42.9955 | − | 4.84443i | 1.52298 | − | 0.171599i | 0.689555 | − | 0.724233i | \(-0.257806\pi\) |
0.833424 | + | 0.552635i | \(0.186377\pi\) | |||||||
\(798\) | −4.91190 | − | 1.01208i | −0.173879 | − | 0.0358271i | ||||
\(799\) | 7.81658 | − | 16.2313i | 0.276531 | − | 0.574222i | ||||
\(800\) | −28.6314 | + | 28.2779i | −1.01227 | + | 0.999773i | ||||
\(801\) | −24.2297 | + | 8.47833i | −0.856113 | + | 0.299567i | ||||
\(802\) | 23.6015 | − | 5.91589i | 0.833398 | − | 0.208897i | ||||
\(803\) | −8.99112 | − | 18.6702i | −0.317290 | − | 0.658859i | ||||
\(804\) | 8.34765 | + | 12.1133i | 0.294399 | + | 0.427204i | ||||
\(805\) | 3.00374 | − | 0.685584i | 0.105868 | − | 0.0241637i | ||||
\(806\) | 2.25202 | + | 3.42091i | 0.0793242 | + | 0.120496i | ||||
\(807\) | −56.3158 | + | 44.9104i | −1.98241 | + | 1.58092i | ||||
\(808\) | 5.07728 | − | 2.14779i | 0.178618 | − | 0.0755589i | ||||
\(809\) | −28.2602 | − | 17.7571i | −0.993575 | − | 0.624305i | −0.0659525 | − | 0.997823i | \(-0.521009\pi\) |
−0.927623 | + | 0.373518i | \(0.878151\pi\) | |||||||
\(810\) | −39.8735 | − | 18.1712i | −1.40101 | − | 0.638471i | ||||
\(811\) | 37.4835 | 1.31622 | 0.658112 | − | 0.752920i | \(-0.271356\pi\) | ||||
0.658112 | + | 0.752920i | \(0.271356\pi\) | |||||||
\(812\) | −0.983645 | − | 1.86510i | −0.0345192 | − | 0.0654523i | ||||
\(813\) | −17.5971 | −0.617158 | ||||||||
\(814\) | 32.0679 | + | 14.6140i | 1.12398 | + | 0.512221i | ||||
\(815\) | 17.7620 | + | 11.1606i | 0.622176 | + | 0.390939i | ||||
\(816\) | −42.6067 | + | 3.62130i | −1.49153 | + | 0.126771i | ||||
\(817\) | −8.34627 | + | 6.65593i | −0.291999 | + | 0.232861i | ||||
\(818\) | −20.7380 | − | 31.5017i | −0.725086 | − | 1.10143i | ||||
\(819\) | −0.287749 | + | 0.0656768i | −0.0100548 | + | 0.00229493i | ||||
\(820\) | −39.9963 | + | 27.5627i | −1.39673 | + | 0.962530i | ||||
\(821\) | 2.26054 | + | 4.69406i | 0.0788934 | + | 0.163824i | 0.936684 | − | 0.350175i | \(-0.113878\pi\) |
−0.857791 | + | 0.513999i | \(0.828164\pi\) | |||||||
\(822\) | 68.7312 | − | 17.2280i | 2.39728 | − | 0.600894i | ||||
\(823\) | −45.5465 | + | 15.9374i | −1.58765 | + | 0.555543i | −0.972507 | − | 0.232872i | \(-0.925188\pi\) |
−0.615144 | + | 0.788415i | \(0.710902\pi\) | |||||||
\(824\) | −5.04782 | + | 31.1195i | −0.175849 | + | 1.08410i | ||||
\(825\) | 33.0656 | − | 68.6615i | 1.15120 | − | 2.39049i | ||||
\(826\) | 0.419616 | + | 0.0864602i | 0.0146003 | + | 0.00300833i | ||||
\(827\) | 3.88203 | − | 0.437400i | 0.134991 | − | 0.0152099i | −0.0442102 | − | 0.999022i | \(-0.514077\pi\) |
0.179202 | + | 0.983812i | \(0.442649\pi\) | |||||||
\(828\) | 24.1785 | − | 12.9336i | 0.840260 | − | 0.449474i | ||||
\(829\) | −0.694192 | − | 0.694192i | −0.0241103 | − | 0.0241103i | 0.694949 | − | 0.719059i | \(-0.255427\pi\) |
−0.719059 | + | 0.694949i | \(0.755427\pi\) | |||||||
\(830\) | 1.12744 | + | 53.1798i | 0.0391342 | + | 1.84590i | ||||
\(831\) | −9.29442 | − | 14.7920i | −0.322420 | − | 0.513128i | ||||
\(832\) | −0.504514 | − | 3.94537i | −0.0174909 | − | 0.136781i | ||||
\(833\) | −28.6006 | − | 10.0078i | −0.990951 | − | 0.346749i | ||||
\(834\) | −47.3656 | − | 4.32232i | −1.64014 | − | 0.149670i | ||||
\(835\) | 10.8187 | + | 8.62764i | 0.374397 | + | 0.298572i | ||||
\(836\) | 2.72671 | + | 64.2784i | 0.0943053 | + | 2.22312i | ||||
\(837\) | −0.102502 | + | 0.449089i | −0.00354297 | + | 0.0155228i | ||||
\(838\) | 15.8667 | − | 13.2131i | 0.548106 | − | 0.456437i | ||||
\(839\) | −0.657627 | + | 5.83661i | −0.0227038 | + | 0.201502i | −0.999943 | − | 0.0106365i | \(-0.996614\pi\) |
0.977240 | + | 0.212139i | \(0.0680428\pi\) | |||||||
\(840\) | 3.83987 | − | 2.76802i | 0.132488 | − | 0.0955057i | ||||
\(841\) | 17.8137 | + | 22.8839i | 0.614265 | + | 0.789100i | ||||
\(842\) | −12.6011 | − | 4.11167i | −0.434264 | − | 0.141698i | ||||
\(843\) | 7.42546 | + | 0.836649i | 0.255747 | + | 0.0288157i | ||||
\(844\) | 15.9021 | + | 39.9302i | 0.547373 | + | 1.37446i | ||||
\(845\) | −43.2731 | − | 9.87681i | −1.48864 | − | 0.339773i | ||||
\(846\) | 6.21589 | + | 16.6249i | 0.213707 | + | 0.571577i | ||||
\(847\) | −0.979600 | + | 1.22838i | −0.0336594 | + | 0.0422076i | ||||
\(848\) | −1.68350 | + | 0.994525i | −0.0578117 | + | 0.0341521i | ||||
\(849\) | 16.8127 | − | 48.0480i | 0.577011 | − | 1.64900i | ||||
\(850\) | 5.82394 | + | 43.3994i | 0.199760 | + | 1.48859i | ||||
\(851\) | 21.8723 | − | 13.7433i | 0.749774 | − | 0.471114i | ||||
\(852\) | −16.8426 | + | 55.5865i | −0.577016 | + | 1.90436i | ||||
\(853\) | −2.39259 | + | 2.39259i | −0.0819206 | + | 0.0819206i | −0.746880 | − | 0.664959i | \(-0.768449\pi\) |
0.664959 | + | 0.746880i | \(0.268449\pi\) | |||||||
\(854\) | 0.637970 | + | 0.611481i | 0.0218309 | + | 0.0209244i | ||||
\(855\) | 8.71443 | + | 77.3427i | 0.298027 | + | 2.64507i | ||||
\(856\) | 2.92506 | + | 3.22419i | 0.0999764 | + | 0.110201i | ||||
\(857\) | 3.19014 | + | 1.53629i | 0.108973 | + | 0.0524786i | 0.487576 | − | 0.873080i | \(-0.337881\pi\) |
−0.378603 | + | 0.925559i | \(0.623595\pi\) | |||||||
\(858\) | 3.41132 | + | 6.71572i | 0.116461 | + | 0.229271i | ||||
\(859\) | 18.8593 | + | 53.8966i | 0.643469 | + | 1.83893i | 0.535042 | + | 0.844826i | \(0.320296\pi\) |
0.108428 | + | 0.994104i | \(0.465418\pi\) | |||||||
\(860\) | 0.702783 | − | 10.0515i | 0.0239647 | − | 0.342752i | ||||
\(861\) | 3.02303 | − | 1.45582i | 0.103025 | − | 0.0496141i | ||||
\(862\) | 3.91069 | − | 5.12295i | 0.133198 | − | 0.174488i | ||||
\(863\) | 10.2631 | + | 44.9657i | 0.349361 | + | 1.53065i | 0.778635 | + | 0.627477i | \(0.215912\pi\) |
−0.429274 | + | 0.903174i | \(0.641231\pi\) | |||||||
\(864\) | 0.281086 | − | 0.348013i | 0.00956273 | − | 0.0118396i | ||||
\(865\) | 25.8663 | + | 32.4353i | 0.879480 | + | 1.10283i | ||||
\(866\) | 12.7925 | − | 21.3507i | 0.434706 | − | 0.725526i | ||||
\(867\) | −2.54105 | + | 4.04405i | −0.0862985 | + | 0.137343i | ||||
\(868\) | 1.67965 | + | 1.54294i | 0.0570110 | + | 0.0523710i | ||||
\(869\) | − | 29.0639i | − | 0.985924i | ||||||
\(870\) | −45.3229 | + | 46.7339i | −1.53659 | + | 1.58443i | ||||
\(871\) | 1.48901i | 0.0504530i | ||||||||
\(872\) | −2.31687 | + | 1.30324i | −0.0784590 | + | 0.0441334i | ||||
\(873\) | −13.0884 | + | 20.8300i | −0.442974 | + | 0.704989i | ||||
\(874\) | 40.4532 | + | 24.2379i | 1.36835 | + | 0.819860i | ||||
\(875\) | −0.898041 | − | 1.12611i | −0.0303593 | − | 0.0380694i | ||||
\(876\) | −22.5113 | + | 6.15256i | −0.760586 | + | 0.207876i | ||||
\(877\) | −1.64209 | − | 7.19449i | −0.0554496 | − | 0.242941i | 0.939606 | − | 0.342257i | \(-0.111191\pi\) |
−0.995056 | + | 0.0993168i | \(0.968334\pi\) | |||||||
\(878\) | 30.4913 | + | 23.2760i | 1.02903 | + | 0.785529i | ||||
\(879\) | −54.4767 | + | 26.2346i | −1.83745 | + | 0.884870i | ||||
\(880\) | −46.4209 | − | 39.1481i | −1.56485 | − | 1.31968i | ||||
\(881\) | −5.12878 | − | 14.6572i | −0.172793 | − | 0.493814i | 0.824621 | − | 0.565686i | \(-0.191388\pi\) |
−0.997414 | + | 0.0718719i | \(0.977103\pi\) | |||||||
\(882\) | 26.6159 | − | 13.5199i | 0.896205 | − | 0.455237i | ||||
\(883\) | −16.4030 | − | 7.89926i | −0.552005 | − | 0.265831i | 0.137021 | − | 0.990568i | \(-0.456247\pi\) |
−0.689026 | + | 0.724737i | \(0.741961\pi\) | |||||||
\(884\) | −3.75897 | − | 2.14528i | −0.126428 | − | 0.0721535i | ||||
\(885\) | −1.48102 | − | 13.1444i | −0.0497838 | − | 0.441844i | ||||
\(886\) | 16.9613 | − | 17.6961i | 0.569828 | − | 0.594512i | ||||
\(887\) | 40.2497 | − | 40.2497i | 1.35145 | − | 1.35145i | 0.467411 | − | 0.884040i | \(-0.345187\pi\) |
0.884040 | − | 0.467411i | \(-0.154813\pi\) | |||||||
\(888\) | 22.7227 | − | 32.5385i | 0.762523 | − | 1.09192i | ||||
\(889\) | −2.46457 | + | 1.54859i | −0.0826589 | + | 0.0519380i | ||||
\(890\) | 41.3001 | − | 5.54223i | 1.38438 | − | 0.185776i | ||||
\(891\) | 12.8248 | − | 36.6512i | 0.429647 | − | 1.22786i | ||||
\(892\) | −5.95863 | + | 13.8456i | −0.199510 | + | 0.463585i | ||||
\(893\) | −19.0323 | + | 23.8657i | −0.636891 | + | 0.798637i | ||||
\(894\) | 33.8811 | − | 12.6678i | 1.13315 | − | 0.423674i | ||||
\(895\) | −36.7980 | − | 8.39890i | −1.23002 | − | 0.280744i | ||||
\(896\) | −0.806711 | − | 2.06285i | −0.0269503 | − | 0.0689149i | ||||
\(897\) | 5.48660 | + | 0.618192i | 0.183192 | + | 0.0206408i | ||||
\(898\) | −11.0045 | + | 33.7258i | −0.367225 | + | 1.12544i | ||||
\(899\) | −26.4615 | − | 16.8444i | −0.882541 | − | 0.561793i | ||||
\(900\) | −34.8386 | − | 25.4442i | −1.16129 | − | 0.848141i | ||||
\(901\) | −0.238221 | + | 2.11427i | −0.00793629 | + | 0.0704365i | ||||
\(902\) | −27.5447 | − | 33.0766i | −0.917137 | − | 1.10133i | ||||
\(903\) | −0.154878 | + | 0.678567i | −0.00515403 | + | 0.0225813i | ||||
\(904\) | 46.1460 | + | 12.9208i | 1.53479 | + | 0.429739i | ||||
\(905\) | −34.6595 | − | 27.6400i | −1.15212 | − | 0.918785i | ||||
\(906\) | −5.60962 | + | 61.4724i | −0.186367 | + | 2.04228i | ||||
\(907\) | 9.73928 | + | 3.40792i | 0.323387 | + | 0.113158i | 0.487091 | − | 0.873351i | \(-0.338058\pi\) |
−0.163703 | + | 0.986510i | \(0.552344\pi\) | |||||||
\(908\) | 19.1958 | + | 3.53281i | 0.637034 | + | 0.117240i | ||||
\(909\) | 3.14433 | + | 5.00418i | 0.104291 | + | 0.165978i | ||||
\(910\) | 0.479006 | − | 0.0101552i | 0.0158789 | − | 0.000336643i | ||||
\(911\) | −34.3281 | − | 34.3281i | −1.13734 | − | 1.13734i | −0.988925 | − | 0.148416i | \(-0.952583\pi\) |
−0.148416 | − | 0.988925i | \(-0.547417\pi\) | |||||||
\(912\) | 71.7485 | + | 10.0824i | 2.37583 | + | 0.333861i | ||||
\(913\) | −46.8397 | + | 5.27757i | −1.55017 | + | 0.174662i | ||||
\(914\) | −2.58773 | + | 12.5590i | −0.0855945 | + | 0.415415i | ||||
\(915\) | 11.8379 | − | 24.5816i | 0.391348 | − | 0.812643i | ||||
\(916\) | 0.00143452 | + | 0.00920522i | 4.73980e−5 | + | 0.000304149i | ||||
\(917\) | −1.04082 | + | 0.364200i | −0.0343711 | + | 0.0120270i | ||||
\(918\) | −0.118353 | − | 0.472171i | −0.00390623 | − | 0.0155840i | ||||
\(919\) | −22.2109 | − | 46.1213i | −0.732668 | − | 1.52140i | −0.849117 | − | 0.528205i | \(-0.822865\pi\) |
0.116448 | − | 0.993197i | \(-0.462849\pi\) | |||||||
\(920\) | −42.6782 | + | 12.6424i | −1.40706 | + | 0.416809i | ||||
\(921\) | −0.789318 | + | 0.180157i | −0.0260089 | + | 0.00593637i | ||||
\(922\) | −8.41214 | + | 5.53781i | −0.277039 | + | 0.182378i | ||||
\(923\) | −4.59629 | + | 3.66542i | −0.151289 | + | 0.120649i | ||||
\(924\) | 2.75197 | + | 3.16572i | 0.0905331 | + | 0.104145i | ||||
\(925\) | −34.4121 | − | 21.6225i | −1.13146 | − | 0.710945i | ||||
\(926\) | −8.39736 | + | 18.4265i | −0.275954 | + | 0.605533i | ||||
\(927\) | −33.7975 | −1.11006 | ||||||||
\(928\) | 15.8945 | + | 25.9878i | 0.521761 | + | 0.853092i | ||||
\(929\) | 33.6265 | 1.10325 | 0.551624 | − | 0.834093i | \(-0.314008\pi\) | ||||
0.551624 | + | 0.834093i | \(0.314008\pi\) | |||||||
\(930\) | 29.2013 | − | 64.0772i | 0.957549 | − | 2.10117i | ||||
\(931\) | 43.4727 | + | 27.3157i | 1.42476 | + | 0.895236i | ||||
\(932\) | 10.8416 | + | 12.4717i | 0.355130 | + | 0.408523i | ||||
\(933\) | −13.3774 | + | 10.6681i | −0.437955 | + | 0.349258i | ||||
\(934\) | 20.8910 | − | 13.7528i | 0.683574 | − | 0.450005i | ||||
\(935\) | −64.4199 | + | 14.7034i | −2.10676 | + | 0.480853i | ||||
\(936\) | 4.08844 | − | 1.21111i | 0.133635 | − | 0.0395863i | ||||
\(937\) | 5.57902 | + | 11.5850i | 0.182259 | + | 0.378464i | 0.972002 | − | 0.234974i | \(-0.0755005\pi\) |
−0.789743 | + | 0.613438i | \(0.789786\pi\) | |||||||
\(938\) | 0.201606 | + | 0.804311i | 0.00658268 | + | 0.0262617i | ||||
\(939\) | −5.74041 | + | 2.00866i | −0.187331 | + | 0.0655500i | ||||
\(940\) | −4.43643 | − | 28.4682i | −0.144700 | − | 0.928531i | ||||
\(941\) | −21.8356 | + | 45.3421i | −0.711820 | + | 1.47811i | 0.159398 | + | 0.987214i | \(0.449045\pi\) |
−0.871219 | + | 0.490895i | \(0.836670\pi\) | |||||||
\(942\) | 1.85356 | − | 8.99587i | 0.0603923 | − | 0.293101i | ||||
\(943\) | −31.3529 | + | 3.53262i | −1.02099 | + | 0.115038i | ||||
\(944\) | −6.12937 | − | 0.861322i | −0.199494 | − | 0.0280336i | ||||
\(945\) | 0.0381032 | + | 0.0381032i | 0.00123950 | + | 0.00123950i | ||||
\(946\) | 8.92689 | − | 0.189256i | 0.290238 | − | 0.00615323i | ||||
\(947\) | 21.2701 | + | 33.8512i | 0.691187 | + | 1.10002i | 0.989358 | + | 0.145505i | \(0.0464807\pi\) |
−0.298171 | + | 0.954513i | \(0.596376\pi\) | |||||||
\(948\) | −32.1902 | − | 5.92432i | −1.04549 | − | 0.192413i | ||||
\(949\) | −2.22953 | − | 0.780147i | −0.0723737 | − | 0.0253246i | ||||
\(950\) | 6.74264 | − | 73.8885i | 0.218760 | − | 2.39726i | ||||
\(951\) | 23.5556 | + | 18.7850i | 0.763844 | + | 0.609145i | ||||
\(952\) | −2.32093 | − | 0.649856i | −0.0752219 | − | 0.0210620i | ||||
\(953\) | −0.768883 | + | 3.36870i | −0.0249066 | + | 0.109123i | −0.985853 | − | 0.167611i | \(-0.946395\pi\) |
0.960947 | + | 0.276734i | \(0.0892519\pi\) | |||||||
\(954\) | −1.34139 | − | 1.61079i | −0.0434292 | − | 0.0521513i | ||||
\(955\) | 7.53688 | − | 66.8916i | 0.243888 | − | 2.16456i | ||||
\(956\) | −6.45523 | − | 4.71455i | −0.208777 | − | 0.152480i | ||||
\(957\) | −44.8919 | − | 36.2334i | −1.45115 | − | 1.17126i | ||||
\(958\) | 6.10498 | − | 18.7100i | 0.197243 | − | 0.604494i | ||||
\(959\) | 3.96879 | + | 0.447175i | 0.128159 | + | 0.0144400i | ||||
\(960\) | −52.8215 | + | 43.4344i | −1.70481 | + | 1.40184i | ||||
\(961\) | 2.85574 | + | 0.651805i | 0.0921208 | + | 0.0210260i | ||||
\(962\) | 3.76261 | − | 1.40680i | 0.121311 | − | 0.0453570i | ||||
\(963\) | −2.90979 | + | 3.64877i | −0.0937668 | + | 0.117580i | ||||
\(964\) | 8.88572 | − | 20.6470i | 0.286190 | − | 0.664997i | ||||
\(965\) | −12.9599 | + | 37.0374i | −0.417195 | + | 1.19228i | ||||
\(966\) | 3.04738 | − | 0.408941i | 0.0980479 | − | 0.0131575i | ||||
\(967\) | −8.71863 | + | 5.47828i | −0.280372 | + | 0.176170i | −0.664876 | − | 0.746954i | \(-0.731516\pi\) |
0.384504 | + | 0.923124i | \(0.374373\pi\) | |||||||
\(968\) | 12.9960 | − | 18.6100i | 0.417707 | − | 0.598149i | ||||
\(969\) | 55.7477 | − | 55.7477i | 1.79087 | − | 1.79087i | ||||
\(970\) | 27.6329 | − | 28.8299i | 0.887238 | − | 0.925673i | ||||
\(971\) | −4.31524 | − | 38.2988i | −0.138483 | − | 1.22907i | −0.850146 | − | 0.526547i | \(-0.823487\pi\) |
0.711664 | − | 0.702520i | \(-0.247942\pi\) | |||||||
\(972\) | −38.3916 | − | 21.9104i | −1.23141 | − | 0.702778i | ||||
\(973\) | −2.41538 | − | 1.16318i | −0.0774334 | − | 0.0372900i | ||||
\(974\) | −6.26402 | + | 3.18188i | −0.200712 | + | 0.101954i | ||||
\(975\) | −2.86906 | − | 8.19931i | −0.0918835 | − | 0.262588i | ||||
\(976\) | −9.75960 | − | 8.23055i | −0.312397 | − | 0.263453i | ||||
\(977\) | 35.7471 | − | 17.2149i | 1.14365 | − | 0.550753i | 0.236530 | − | 0.971624i | \(-0.423990\pi\) |
0.907120 | + | 0.420872i | \(0.138276\pi\) | |||||||
\(978\) | 16.6403 | + | 12.7026i | 0.532097 | + | 0.406185i | ||||
\(979\) | 8.21688 | + | 36.0005i | 0.262613 | + | 1.15058i | ||||
\(980\) | −46.7456 | + | 12.7760i | −1.49323 | + | 0.408115i | ||||
\(981\) | −1.77680 | − | 2.22804i | −0.0567288 | − | 0.0711357i | ||||
\(982\) | 35.9111 | + | 21.5164i | 1.14597 | + | 0.686617i | ||||
\(983\) | 9.60897 | − | 15.2926i | 0.306478 | − | 0.487758i | −0.657603 | − | 0.753365i | \(-0.728430\pi\) |
0.964081 | + | 0.265607i | \(0.0855724\pi\) | |||||||
\(984\) | −42.2492 | + | 23.7653i | −1.34686 | + | 0.757610i | ||||
\(985\) | 39.1436i | 1.24722i | ||||||||
\(986\) | 32.9926 | + | 3.20617i | 1.05070 | + | 0.102105i | ||||
\(987\) | 1.99023i | 0.0633496i | ||||||||
\(988\) | 5.40068 | + | 4.96113i | 0.171818 | + | 0.157834i | ||||
\(989\) | 3.48210 | − | 5.54173i | 0.110724 | − | 0.176217i | ||||
\(990\) | 33.4589 | − | 55.8430i | 1.06339 | − | 1.77481i | ||||
\(991\) | 28.3217 | + | 35.5143i | 0.899670 | + | 1.12815i | 0.991203 | + | 0.132348i | \(0.0422518\pi\) |
−0.0915333 | + | 0.995802i | \(0.529177\pi\) | |||||||
\(992\) | −25.6336 | − | 20.7039i | −0.813867 | − | 0.657351i | ||||
\(993\) | −8.24458 | − | 36.1219i | −0.261634 | − | 1.14629i | ||||
\(994\) | −1.98648 | + | 2.60226i | −0.0630072 | + | 0.0825386i | ||||
\(995\) | 5.17056 | − | 2.49001i | 0.163918 | − | 0.0789387i | ||||
\(996\) | −3.70245 | + | 52.9539i | −0.117317 | + | 1.67791i | ||||
\(997\) | −19.2472 | − | 55.0054i | −0.609565 | − | 1.74204i | −0.668433 | − | 0.743772i | \(-0.733035\pi\) |
0.0588676 | − | 0.998266i | \(-0.481251\pi\) | |||||||
\(998\) | −10.0850 | − | 19.8538i | −0.319234 | − | 0.628461i | ||||
\(999\) | 0.407052 | + | 0.196026i | 0.0128786 | + | 0.00620199i |
(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 | 116.2.l.b.27.6 | ✓ | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.27.7 | yes | 144 | |
29.14 | odd | 28 | inner | 116.2.l.b.43.7 | yes | 144 | |
116.43 | even | 28 | inner | 116.2.l.b.43.6 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.27.6 | ✓ | 144 | 1.1 | even | 1 | trivial | |
116.2.l.b.27.7 | yes | 144 | 4.3 | odd | 2 | inner | |
116.2.l.b.43.6 | yes | 144 | 116.43 | even | 28 | inner | |
116.2.l.b.43.7 | yes | 144 | 29.14 | odd | 28 | inner |