Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(131,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | 8.0.342102016.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + x^{6} + 4x^{4} + 4x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 131.7 | ||
Root | \(1.17915 + 0.780776i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 572.131 |
Dual form | 572.2.e.a.131.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.17915 | − | 0.780776i | 0.833783 | − | 0.552092i | ||||
\(3\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(4\) | 0.780776 | − | 1.84130i | 0.390388 | − | 0.920650i | ||||
\(5\) | −3.56155 | −1.59277 | −0.796387 | − | 0.604787i | \(-0.793258\pi\) | ||||
−0.796387 | + | 0.604787i | \(0.793258\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.05444 | 1.53243 | 0.766216 | − | 0.642583i | \(-0.222137\pi\) | ||||
0.766216 | + | 0.642583i | \(0.222137\pi\) | |||||||
\(8\) | −0.516994 | − | 2.78078i | −0.182785 | − | 0.983153i | ||||
\(9\) | 3.00000 | 1.00000 | ||||||||
\(10\) | −4.19960 | + | 2.78078i | −1.32803 | + | 0.879359i | ||||
\(11\) | −0.848071 | − | 3.20636i | −0.255703 | − | 0.966755i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | 4.78078 | − | 3.16561i | 1.27772 | − | 0.846044i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.78078 | − | 2.87529i | −0.695194 | − | 0.718822i | ||||
\(17\) | − | 5.12311i | − | 1.24254i | −0.783598 | − | 0.621268i | \(-0.786618\pi\) | ||
0.783598 | − | 0.621268i | \(-0.213382\pi\) | |||||||
\(18\) | 3.53744 | − | 2.34233i | 0.833783 | − | 0.552092i | ||||
\(19\) | −4.34475 | −0.996755 | −0.498378 | − | 0.866960i | \(-0.666071\pi\) | ||||
−0.498378 | + | 0.866960i | \(0.666071\pi\) | |||||||
\(20\) | −2.78078 | + | 6.55789i | −0.621801 | + | 1.46639i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.50345 | − | 3.11862i | −0.746939 | − | 0.664893i | ||||
\(23\) | 2.35829i | 0.491738i | 0.969303 | + | 0.245869i | \(0.0790734\pi\) | ||||
−0.969303 | + | 0.245869i | \(0.920927\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.68466 | 1.53693 | ||||||||
\(26\) | 0.780776 | + | 1.17915i | 0.153123 | + | 0.231250i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.16561 | − | 7.46543i | 0.598244 | − | 1.41083i | ||||
\(29\) | − | 6.68466i | − | 1.24131i | −0.784084 | − | 0.620655i | \(-0.786867\pi\) | ||
0.784084 | − | 0.620655i | \(-0.213133\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.371834i | − | 0.0667834i | −0.999442 | − | 0.0333917i | \(-0.989369\pi\) | ||
0.999442 | − | 0.0333917i | \(-0.0106309\pi\) | |||||||
\(32\) | −5.52390 | − | 1.21922i | −0.976497 | − | 0.215530i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.00000 | − | 6.04090i | −0.685994 | − | 1.03601i | ||||
\(35\) | −14.4401 | −2.44082 | ||||||||
\(36\) | 2.34233 | − | 5.52390i | 0.390388 | − | 0.920650i | ||||
\(37\) | 8.24621 | 1.35567 | 0.677834 | − | 0.735215i | \(-0.262919\pi\) | ||||
0.677834 | + | 0.735215i | \(0.262919\pi\) | |||||||
\(38\) | −5.12311 | + | 3.39228i | −0.831077 | + | 0.550301i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.84130 | + | 9.90388i | 0.291135 | + | 1.56594i | ||||
\(41\) | 4.43845i | 0.693169i | 0.938019 | + | 0.346584i | \(0.112659\pi\) | ||||
−0.938019 | + | 0.346584i | \(0.887341\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.03399 | −0.157682 | −0.0788408 | − | 0.996887i | \(-0.525122\pi\) | ||||
−0.0788408 | + | 0.996887i | \(0.525122\pi\) | |||||||
\(44\) | −6.56604 | − | 0.941901i | −0.989867 | − | 0.141997i | ||||
\(45\) | −10.6847 | −1.59277 | ||||||||
\(46\) | 1.84130 | + | 2.78078i | 0.271485 | + | 0.410003i | ||||
\(47\) | 6.41273i | 0.935393i | 0.883889 | + | 0.467696i | \(0.154916\pi\) | ||||
−0.883889 | + | 0.467696i | \(0.845084\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.43845 | 1.34835 | ||||||||
\(50\) | 9.06134 | − | 6.00000i | 1.28147 | − | 0.848528i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.84130 | + | 0.780776i | 0.255342 | + | 0.108274i | ||||
\(53\) | 12.2462 | 1.68215 | 0.841073 | − | 0.540921i | \(-0.181924\pi\) | ||||
0.841073 | + | 0.540921i | \(0.181924\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.02045 | + | 11.4196i | 0.407277 | + | 1.53982i | ||||
\(56\) | −2.09612 | − | 11.2745i | −0.280106 | − | 1.50662i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.21922 | − | 7.88220i | −0.685318 | − | 1.03498i | ||||
\(59\) | − | 4.05444i | − | 0.527843i | −0.964544 | − | 0.263921i | \(-0.914984\pi\) | ||
0.964544 | − | 0.263921i | \(-0.0850159\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.6847i | 1.62410i | 0.583585 | + | 0.812052i | \(0.301649\pi\) | ||||
−0.583585 | + | 0.812052i | \(0.698351\pi\) | |||||||
\(62\) | −0.290319 | − | 0.438447i | −0.0368706 | − | 0.0556828i | ||||
\(63\) | 12.1633 | 1.53243 | ||||||||
\(64\) | −7.46543 | + | 2.87529i | −0.933179 | + | 0.359411i | ||||
\(65\) | − | 3.56155i | − | 0.441756i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 14.0683i | 1.71871i | 0.511379 | + | 0.859355i | \(0.329135\pi\) | ||||
−0.511379 | + | 0.859355i | \(0.670865\pi\) | |||||||
\(68\) | −9.43318 | − | 4.00000i | −1.14394 | − | 0.485071i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −17.0270 | + | 11.2745i | −2.03511 | + | 1.34756i | ||||
\(71\) | 13.7779i | 1.63514i | 0.575829 | + | 0.817570i | \(0.304679\pi\) | ||||
−0.575829 | + | 0.817570i | \(0.695321\pi\) | |||||||
\(72\) | −1.55098 | − | 8.34233i | −0.182785 | − | 0.983153i | ||||
\(73\) | 5.80776i | 0.679747i | 0.940471 | + | 0.339874i | \(0.110384\pi\) | ||||
−0.940471 | + | 0.339874i | \(0.889616\pi\) | |||||||
\(74\) | 9.72350 | − | 6.43845i | 1.13033 | − | 0.748454i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.39228 | + | 8.00000i | −0.389121 | + | 0.917663i | ||||
\(77\) | −3.43845 | − | 13.0000i | −0.391847 | − | 1.48149i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.32431 | −0.148996 | −0.0744981 | − | 0.997221i | \(-0.523735\pi\) | ||||
−0.0744981 | + | 0.997221i | \(0.523735\pi\) | |||||||
\(80\) | 9.90388 | + | 10.2405i | 1.10729 | + | 1.14492i | ||||
\(81\) | 9.00000 | 1.00000 | ||||||||
\(82\) | 3.46543 | + | 5.23358i | 0.382693 | + | 0.577953i | ||||
\(83\) | −1.69614 | −0.186176 | −0.0930878 | − | 0.995658i | \(-0.529674\pi\) | ||||
−0.0930878 | + | 0.995658i | \(0.529674\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 18.2462i | 1.97908i | ||||||||
\(86\) | −1.21922 | + | 0.807313i | −0.131472 | + | 0.0870548i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.47774 | + | 4.01597i | −0.903730 | + | 0.428103i | ||||
\(89\) | −2.00000 | −0.212000 | −0.106000 | − | 0.994366i | \(-0.533804\pi\) | ||||
−0.106000 | + | 0.994366i | \(0.533804\pi\) | |||||||
\(90\) | −12.5988 | + | 8.34233i | −1.32803 | + | 0.879359i | ||||
\(91\) | 4.05444i | 0.425020i | ||||||||
\(92\) | 4.34233 | + | 1.84130i | 0.452719 | + | 0.191969i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.00691 | + | 7.56155i | 0.516423 | + | 0.779915i | ||||
\(95\) | 15.4741 | 1.58761 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.24621 | −0.431137 | −0.215569 | − | 0.976489i | \(-0.569161\pi\) | ||||
−0.215569 | + | 0.976489i | \(0.569161\pi\) | |||||||
\(98\) | 11.1293 | − | 7.36932i | 1.12423 | − | 0.744413i | ||||
\(99\) | −2.54421 | − | 9.61909i | −0.255703 | − | 0.966755i | ||||
\(100\) | 6.00000 | − | 14.1498i | 0.600000 | − | 1.41498i | ||||
\(101\) | − | 4.87689i | − | 0.485269i | −0.970118 | − | 0.242635i | \(-0.921988\pi\) | ||
0.970118 | − | 0.242635i | \(-0.0780116\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 16.5081i | − | 1.62659i | −0.581853 | − | 0.813294i | \(-0.697672\pi\) | ||
0.581853 | − | 0.813294i | \(-0.302328\pi\) | |||||||
\(104\) | 2.78078 | − | 0.516994i | 0.272678 | − | 0.0506954i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 14.4401 | − | 9.56155i | 1.40255 | − | 0.928700i | ||||
\(107\) | −14.4401 | −1.39598 | −0.697988 | − | 0.716110i | \(-0.745921\pi\) | ||||
−0.697988 | + | 0.716110i | \(0.745921\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 2.00000i | − | 0.191565i | −0.995402 | − | 0.0957826i | \(-0.969465\pi\) | ||
0.995402 | − | 0.0957826i | \(-0.0305354\pi\) | |||||||
\(110\) | 12.4777 | + | 11.1071i | 1.18971 | + | 1.05902i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −11.2745 | − | 11.6577i | −1.06534 | − | 1.10155i | ||||
\(113\) | −4.68466 | −0.440696 | −0.220348 | − | 0.975421i | \(-0.570719\pi\) | ||||
−0.220348 | + | 0.975421i | \(0.570719\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 8.39919i | − | 0.783229i | ||||||
\(116\) | −12.3085 | − | 5.21922i | −1.14281 | − | 0.484593i | ||||
\(117\) | 3.00000i | 0.277350i | ||||||||
\(118\) | −3.16561 | − | 4.78078i | −0.291418 | − | 0.440106i | ||||
\(119\) | − | 20.7713i | − | 1.90410i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.56155 | + | 5.43845i | −0.869232 | + | 0.494404i | ||||
\(122\) | 9.90388 | + | 14.9571i | 0.896655 | + | 1.35415i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.684658 | − | 0.290319i | −0.0614841 | − | 0.0260714i | ||||
\(125\) | −9.56155 | −0.855211 | ||||||||
\(126\) | 14.3423 | − | 9.49682i | 1.27772 | − | 0.846044i | ||||
\(127\) | 19.4470 | 1.72564 | 0.862821 | − | 0.505510i | \(-0.168696\pi\) | ||||
0.862821 | + | 0.505510i | \(0.168696\pi\) | |||||||
\(128\) | −6.55789 | + | 9.21922i | −0.579641 | + | 0.814872i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.78078 | − | 4.19960i | −0.243890 | − | 0.368329i | ||||
\(131\) | 7.65552 | 0.668866 | 0.334433 | − | 0.942420i | \(-0.391455\pi\) | ||||
0.334433 | + | 0.942420i | \(0.391455\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −17.6155 | −1.52746 | ||||||||
\(134\) | 10.9842 | + | 16.5885i | 0.948887 | + | 1.43303i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −14.2462 | + | 2.64861i | −1.22160 | + | 0.227117i | ||||
\(137\) | 3.36932 | 0.287860 | 0.143930 | − | 0.989588i | \(-0.454026\pi\) | ||||
0.143930 | + | 0.989588i | \(0.454026\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.46026 | −0.463133 | −0.231566 | − | 0.972819i | \(-0.574385\pi\) | ||||
−0.231566 | + | 0.972819i | \(0.574385\pi\) | |||||||
\(140\) | −11.2745 | + | 26.5885i | −0.952867 | + | 2.24714i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.7575 | + | 16.2462i | 0.902748 | + | 1.36335i | ||||
\(143\) | 3.20636 | − | 0.848071i | 0.268130 | − | 0.0709192i | ||||
\(144\) | −8.34233 | − | 8.62586i | −0.695194 | − | 0.718822i | ||||
\(145\) | 23.8078i | 1.97713i | ||||||||
\(146\) | 4.53457 | + | 6.84821i | 0.375283 | + | 0.566762i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.43845 | − | 15.1838i | 0.529237 | − | 1.24810i | ||||
\(149\) | − | 14.4924i | − | 1.18727i | −0.804736 | − | 0.593633i | \(-0.797693\pi\) | ||
0.804736 | − | 0.593633i | \(-0.202307\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.1431 | −1.72060 | −0.860302 | − | 0.509785i | \(-0.829725\pi\) | ||||
−0.860302 | + | 0.509785i | \(0.829725\pi\) | |||||||
\(152\) | 2.24621 | + | 12.0818i | 0.182192 | + | 0.979963i | ||||
\(153\) | − | 15.3693i | − | 1.24254i | ||||||
\(154\) | −14.2045 | − | 12.6443i | −1.14463 | − | 1.01890i | ||||
\(155\) | 1.32431i | 0.106371i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.00000 | 0.638470 | 0.319235 | − | 0.947676i | \(-0.396574\pi\) | ||||
0.319235 | + | 0.947676i | \(0.396574\pi\) | |||||||
\(158\) | −1.56155 | + | 1.03399i | −0.124230 | + | 0.0822596i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 19.6737 | + | 4.34233i | 1.55534 | + | 0.343291i | ||||
\(161\) | 9.56155i | 0.753556i | ||||||||
\(162\) | 10.6123 | − | 7.02699i | 0.833783 | − | 0.552092i | ||||
\(163\) | − | 1.98646i | − | 0.155592i | −0.996969 | − | 0.0777958i | \(-0.975212\pi\) | ||
0.996969 | − | 0.0777958i | \(-0.0247882\pi\) | |||||||
\(164\) | 8.17252 | + | 3.46543i | 0.638166 | + | 0.270605i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.00000 | + | 1.32431i | −0.155230 | + | 0.102786i | ||||
\(167\) | −5.37874 | −0.416220 | −0.208110 | − | 0.978105i | \(-0.566731\pi\) | ||||
−0.208110 | + | 0.978105i | \(0.566731\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 14.2462 | + | 21.5150i | 1.09263 | + | 1.65012i | ||||
\(171\) | −13.0343 | −0.996755 | ||||||||
\(172\) | −0.807313 | + | 1.90388i | −0.0615570 | + | 0.145170i | ||||
\(173\) | 3.80776i | 0.289499i | 0.989468 | + | 0.144749i | \(0.0462376\pi\) | ||||
−0.989468 | + | 0.144749i | \(0.953762\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 31.1570 | 2.35524 | ||||||||
\(176\) | −6.86093 | + | 11.3546i | −0.517162 | + | 0.855888i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.35829 | + | 1.56155i | −0.176762 | + | 0.117043i | ||||
\(179\) | 20.7713i | 1.55252i | 0.630413 | + | 0.776260i | \(0.282886\pi\) | ||||
−0.630413 | + | 0.776260i | \(0.717114\pi\) | |||||||
\(180\) | −8.34233 | + | 19.6737i | −0.621801 | + | 1.46639i | ||||
\(181\) | 18.2462 | 1.35623 | 0.678115 | − | 0.734956i | \(-0.262797\pi\) | ||||
0.678115 | + | 0.734956i | \(0.262797\pi\) | |||||||
\(182\) | 3.16561 | + | 4.78078i | 0.234650 | + | 0.354375i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.55789 | − | 1.21922i | 0.483454 | − | 0.0898824i | ||||
\(185\) | −29.3693 | −2.15928 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −16.4265 | + | 4.34475i | −1.20123 | + | 0.317720i | ||||
\(188\) | 11.8078 | + | 5.00691i | 0.861170 | + | 0.365166i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 18.2462 | − | 12.0818i | 1.32372 | − | 0.876505i | ||||
\(191\) | − | 13.1158i | − | 0.949024i | −0.880249 | − | 0.474512i | \(-0.842624\pi\) | ||
0.880249 | − | 0.474512i | \(-0.157376\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 12.2462i | − | 0.881502i | −0.897630 | − | 0.440751i | \(-0.854712\pi\) | ||
0.897630 | − | 0.440751i | \(-0.145288\pi\) | |||||||
\(194\) | −5.00691 | + | 3.31534i | −0.359475 | + | 0.238028i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.36932 | − | 17.3790i | 0.526380 | − | 1.24136i | ||||
\(197\) | 19.3693i | 1.38001i | 0.723806 | + | 0.690003i | \(0.242391\pi\) | ||||
−0.723806 | + | 0.690003i | \(0.757609\pi\) | |||||||
\(198\) | −10.5104 | − | 9.35587i | −0.746939 | − | 0.664893i | ||||
\(199\) | 11.7915i | 0.835875i | 0.908476 | + | 0.417938i | \(0.137247\pi\) | ||||
−0.908476 | + | 0.417938i | \(0.862753\pi\) | |||||||
\(200\) | −3.97292 | − | 21.3693i | −0.280928 | − | 1.51104i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.80776 | − | 5.75058i | −0.267913 | − | 0.404609i | ||||
\(203\) | − | 27.1025i | − | 1.90222i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 15.8078i | − | 1.10406i | ||||||
\(206\) | −12.8891 | − | 19.4654i | −0.898026 | − | 1.35622i | ||||
\(207\) | 7.07488i | 0.491738i | ||||||||
\(208\) | 2.87529 | − | 2.78078i | 0.199365 | − | 0.192812i | ||||
\(209\) | 3.68466 | + | 13.9309i | 0.254873 | + | 0.963618i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.46026 | 0.375900 | 0.187950 | − | 0.982179i | \(-0.439816\pi\) | ||||
0.187950 | + | 0.982179i | \(0.439816\pi\) | |||||||
\(212\) | 9.56155 | − | 22.5490i | 0.656690 | − | 1.54867i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −17.0270 | + | 11.2745i | −1.16394 | + | 0.770707i | ||||
\(215\) | 3.68260 | 0.251151 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 1.50758i | − | 0.102341i | ||||||
\(218\) | −1.56155 | − | 2.35829i | −0.105762 | − | 0.159724i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.3853 | + | 3.35463i | 1.57664 | + | 0.226169i | ||||
\(221\) | 5.12311 | 0.344617 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.8730i | 0.795074i | 0.917586 | + | 0.397537i | \(0.130135\pi\) | ||||
−0.917586 | + | 0.397537i | \(0.869865\pi\) | |||||||
\(224\) | −22.3963 | − | 4.94326i | −1.49642 | − | 0.330286i | ||||
\(225\) | 23.0540 | 1.53693 | ||||||||
\(226\) | −5.52390 | + | 3.65767i | −0.367444 | + | 0.243305i | ||||
\(227\) | 13.0343 | 0.865115 | 0.432557 | − | 0.901606i | \(-0.357611\pi\) | ||||
0.432557 | + | 0.901606i | \(0.357611\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 25.8078 | 1.70543 | 0.852713 | − | 0.522380i | \(-0.174956\pi\) | ||||
0.852713 | + | 0.522380i | \(0.174956\pi\) | |||||||
\(230\) | −6.55789 | − | 9.90388i | −0.432414 | − | 0.653043i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −18.5885 | + | 3.45593i | −1.22040 | + | 0.226893i | ||||
\(233\) | − | 0.876894i | − | 0.0574473i | −0.999587 | − | 0.0287236i | \(-0.990856\pi\) | ||
0.999587 | − | 0.0287236i | \(-0.00914427\pi\) | |||||||
\(234\) | 2.34233 | + | 3.53744i | 0.153123 | + | 0.231250i | ||||
\(235\) | − | 22.8393i | − | 1.48987i | ||||||
\(236\) | −7.46543 | − | 3.16561i | −0.485958 | − | 0.206064i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −16.2177 | − | 24.4924i | −1.05124 | − | 1.58761i | ||||
\(239\) | 0.662153 | 0.0428311 | 0.0214156 | − | 0.999771i | \(-0.493183\pi\) | ||||
0.0214156 | + | 0.999771i | \(0.493183\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 30.4924i | − | 1.96419i | −0.188387 | − | 0.982095i | \(-0.560326\pi\) | ||
0.188387 | − | 0.982095i | \(-0.439674\pi\) | |||||||
\(242\) | −7.02827 | + | 13.8782i | −0.451794 | + | 0.892122i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 23.3563 | + | 9.90388i | 1.49523 | + | 0.634031i | ||||
\(245\) | −33.6155 | −2.14762 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 4.34475i | − | 0.276450i | ||||||
\(248\) | −1.03399 | + | 0.192236i | −0.0656583 | + | 0.0122070i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.2745 | + | 7.46543i | −0.713061 | + | 0.472156i | ||||
\(251\) | 14.8934i | 0.940065i | 0.882649 | + | 0.470033i | \(0.155758\pi\) | ||||
−0.882649 | + | 0.470033i | \(0.844242\pi\) | |||||||
\(252\) | 9.49682 | − | 22.3963i | 0.598244 | − | 1.41083i | ||||
\(253\) | 7.56155 | − | 2.00000i | 0.475391 | − | 0.125739i | ||||
\(254\) | 22.9309 | − | 15.1838i | 1.43881 | − | 0.952713i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.534565 | + | 15.9911i | −0.0334103 | + | 0.999442i | ||||
\(257\) | −10.1922 | −0.635774 | −0.317887 | − | 0.948129i | \(-0.602973\pi\) | ||||
−0.317887 | + | 0.948129i | \(0.602973\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 33.4337 | 2.07747 | ||||||||
\(260\) | −6.55789 | − | 2.78078i | −0.406703 | − | 0.172456i | ||||
\(261\) | − | 20.0540i | − | 1.24131i | ||||||
\(262\) | 9.02699 | − | 5.97725i | 0.557689 | − | 0.369276i | ||||
\(263\) | 2.81164 | 0.173373 | 0.0866867 | − | 0.996236i | \(-0.472372\pi\) | ||||
0.0866867 | + | 0.996236i | \(0.472372\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −43.6155 | −2.67928 | ||||||||
\(266\) | −20.7713 | + | 13.7538i | −1.27357 | + | 0.843299i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 25.9039 | + | 10.9842i | 1.58233 | + | 0.670964i | ||||
\(269\) | −11.1231 | −0.678188 | −0.339094 | − | 0.940753i | \(-0.610120\pi\) | ||||
−0.339094 | + | 0.940753i | \(0.610120\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.7509 | −1.07829 | −0.539144 | − | 0.842214i | \(-0.681252\pi\) | ||||
−0.539144 | + | 0.842214i | \(0.681252\pi\) | |||||||
\(272\) | −14.7304 | + | 14.2462i | −0.893162 | + | 0.863803i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.97292 | − | 2.63068i | 0.240013 | − | 0.158925i | ||||
\(275\) | −6.51713 | − | 24.6398i | −0.392998 | − | 1.48584i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 5.56155i | − | 0.334161i | −0.985943 | − | 0.167081i | \(-0.946566\pi\) | ||
0.985943 | − | 0.167081i | \(-0.0534340\pi\) | |||||||
\(278\) | −6.43845 | + | 4.26324i | −0.386152 | + | 0.255692i | ||||
\(279\) | − | 1.11550i | − | 0.0667834i | ||||||
\(280\) | 7.46543 | + | 40.1547i | 0.446145 | + | 2.39970i | ||||
\(281\) | − | 0.438447i | − | 0.0261556i | −0.999914 | − | 0.0130778i | \(-0.995837\pi\) | ||
0.999914 | − | 0.0130778i | \(-0.00416291\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.16994 | −0.307321 | −0.153660 | − | 0.988124i | \(-0.549106\pi\) | ||||
−0.153660 | + | 0.988124i | \(0.549106\pi\) | |||||||
\(284\) | 25.3693 | + | 10.7575i | 1.50539 | + | 0.638339i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.11862 | − | 3.50345i | 0.184408 | − | 0.207164i | ||||
\(287\) | 17.9954i | 1.06223i | ||||||||
\(288\) | −16.5717 | − | 3.65767i | −0.976497 | − | 0.215530i | ||||
\(289\) | −9.24621 | −0.543895 | ||||||||
\(290\) | 18.5885 | + | 28.0729i | 1.09156 | + | 1.64850i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 10.6938 | + | 4.53457i | 0.625810 | + | 0.265365i | ||||
\(293\) | 10.8769i | 0.635435i | 0.948185 | + | 0.317717i | \(0.102916\pi\) | ||||
−0.948185 | + | 0.317717i | \(0.897084\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.4401i | 0.840734i | ||||||||
\(296\) | −4.26324 | − | 22.9309i | −0.247796 | − | 1.33283i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −11.3153 | − | 17.0887i | −0.655480 | − | 0.989922i | ||||
\(299\) | −2.35829 | −0.136384 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.19224 | −0.241636 | ||||||||
\(302\) | −24.9309 | + | 16.5081i | −1.43461 | + | 0.949932i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 12.0818 | + | 12.4924i | 0.692938 | + | 0.716490i | ||||
\(305\) | − | 45.1771i | − | 2.58683i | ||||||
\(306\) | −12.0000 | − | 18.1227i | −0.685994 | − | 1.03601i | ||||
\(307\) | −15.1022 | −0.861930 | −0.430965 | − | 0.902369i | \(-0.641827\pi\) | ||||
−0.430965 | + | 0.902369i | \(0.641827\pi\) | |||||||
\(308\) | −26.6216 | − | 3.81888i | −1.51690 | − | 0.217601i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.03399 | + | 1.56155i | 0.0587265 | + | 0.0886902i | ||||
\(311\) | 2.81164i | 0.159434i | 0.996818 | + | 0.0797168i | \(0.0254016\pi\) | ||||
−0.996818 | + | 0.0797168i | \(0.974598\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.3153 | −1.09177 | −0.545884 | − | 0.837861i | \(-0.683806\pi\) | ||||
−0.545884 | + | 0.837861i | \(0.683806\pi\) | |||||||
\(314\) | 9.43318 | − | 6.24621i | 0.532345 | − | 0.352494i | ||||
\(315\) | −43.3203 | −2.44082 | ||||||||
\(316\) | −1.03399 | + | 2.43845i | −0.0581663 | + | 0.137173i | ||||
\(317\) | −11.1771 | −0.627767 | −0.313884 | − | 0.949461i | \(-0.601630\pi\) | ||||
−0.313884 | + | 0.949461i | \(0.601630\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.4335 | + | 5.66906i | −1.20004 | + | 0.317407i | ||||
\(320\) | 26.5885 | − | 10.2405i | 1.48634 | − | 0.572461i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.46543 | + | 11.2745i | 0.416032 | + | 0.628302i | ||||
\(323\) | 22.2586i | 1.23850i | ||||||||
\(324\) | 7.02699 | − | 16.5717i | 0.390388 | − | 0.920650i | ||||
\(325\) | 7.68466i | 0.426268i | ||||||||
\(326\) | −1.55098 | − | 2.34233i | −0.0859009 | − | 0.129730i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 12.3423 | − | 2.29465i | 0.681491 | − | 0.126701i | ||||
\(329\) | 26.0000i | 1.43343i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 0.825183i | − | 0.0453562i | −0.999743 | − | 0.0226781i | \(-0.992781\pi\) | ||
0.999743 | − | 0.0226781i | \(-0.00721928\pi\) | |||||||
\(332\) | −1.32431 | + | 3.12311i | −0.0726808 | + | 0.171403i | ||||
\(333\) | 24.7386 | 1.35567 | ||||||||
\(334\) | −6.34233 | + | 4.19960i | −0.347037 | + | 0.229792i | ||||
\(335\) | − | 50.1048i | − | 2.73752i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 20.2462i | − | 1.10288i | −0.834214 | − | 0.551441i | \(-0.814078\pi\) | ||
0.834214 | − | 0.551441i | \(-0.185922\pi\) | |||||||
\(338\) | −1.17915 | + | 0.780776i | −0.0641372 | + | 0.0424686i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 33.5968 | + | 14.2462i | 1.82204 | + | 0.772609i | ||||
\(341\) | −1.19224 | + | 0.315342i | −0.0645632 | + | 0.0170767i | ||||
\(342\) | −15.3693 | + | 10.1768i | −0.831077 | + | 0.550301i | ||||
\(343\) | 9.88653 | 0.533822 | ||||||||
\(344\) | 0.534565 | + | 2.87529i | 0.0288218 | + | 0.155025i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.97301 | + | 4.48991i | 0.159830 | + | 0.241379i | ||||
\(347\) | 6.62153 | 0.355463 | 0.177731 | − | 0.984079i | \(-0.443124\pi\) | ||||
0.177731 | + | 0.984079i | \(0.443124\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.0000i | 0.963518i | 0.876304 | + | 0.481759i | \(0.160002\pi\) | ||||
−0.876304 | + | 0.481759i | \(0.839998\pi\) | |||||||
\(350\) | 36.7386 | − | 24.3266i | 1.96376 | − | 1.30031i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.775383 | + | 18.7456i | 0.0413280 | + | 0.999146i | ||||
\(353\) | 5.12311 | 0.272675 | 0.136338 | − | 0.990662i | \(-0.456467\pi\) | ||||
0.136338 | + | 0.990662i | \(0.456467\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 49.0708i | − | 2.60441i | ||||||
\(356\) | −1.56155 | + | 3.68260i | −0.0827621 | + | 0.195177i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 16.2177 | + | 24.4924i | 0.857134 | + | 1.29446i | ||||
\(359\) | −8.77102 | −0.462917 | −0.231458 | − | 0.972845i | \(-0.574350\pi\) | ||||
−0.231458 | + | 0.972845i | \(0.574350\pi\) | |||||||
\(360\) | 5.52390 | + | 29.7116i | 0.291135 | + | 1.56594i | ||||
\(361\) | −0.123106 | −0.00647924 | ||||||||
\(362\) | 21.5150 | − | 14.2462i | 1.13080 | − | 0.748764i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.46543 | + | 3.16561i | 0.391295 | + | 0.165923i | ||||
\(365\) | − | 20.6847i | − | 1.08268i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 11.5012i | − | 0.600355i | −0.953883 | − | 0.300178i | \(-0.902954\pi\) | ||
0.953883 | − | 0.300178i | \(-0.0970460\pi\) | |||||||
\(368\) | 6.78078 | − | 6.55789i | 0.353472 | − | 0.341854i | ||||
\(369\) | 13.3153i | 0.693169i | ||||||||
\(370\) | −34.6307 | + | 22.9309i | −1.80037 | + | 1.19212i | ||||
\(371\) | 49.6515 | 2.57778 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 16.0540i | − | 0.831243i | −0.909538 | − | 0.415622i | \(-0.863564\pi\) | ||
0.909538 | − | 0.415622i | \(-0.136436\pi\) | |||||||
\(374\) | −15.9770 | + | 17.9486i | −0.826153 | + | 0.928098i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 17.8324 | − | 3.31534i | 0.919634 | − | 0.170976i | ||||
\(377\) | 6.68466 | 0.344277 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.6149i | 0.699351i | 0.936871 | + | 0.349675i | \(0.113708\pi\) | ||||
−0.936871 | + | 0.349675i | \(0.886292\pi\) | |||||||
\(380\) | 12.0818 | − | 28.4924i | 0.619783 | − | 1.46163i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.2405 | − | 15.4654i | −0.523949 | − | 0.791280i | ||||
\(383\) | 10.3857i | 0.530682i | 0.964155 | + | 0.265341i | \(0.0854845\pi\) | ||||
−0.964155 | + | 0.265341i | \(0.914515\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.2462 | + | 46.3002i | 0.624125 | + | 2.35968i | ||||
\(386\) | −9.56155 | − | 14.4401i | −0.486670 | − | 0.734981i | ||||
\(387\) | −3.10196 | −0.157682 | ||||||||
\(388\) | −3.31534 | + | 7.81855i | −0.168311 | + | 0.396927i | ||||
\(389\) | 12.0000 | 0.608424 | 0.304212 | − | 0.952604i | \(-0.401607\pi\) | ||||
0.304212 | + | 0.952604i | \(0.401607\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.0818 | 0.611002 | ||||||||
\(392\) | −4.87962 | − | 26.2462i | −0.246458 | − | 1.32563i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 15.1231 | + | 22.8393i | 0.761891 | + | 1.15063i | ||||
\(395\) | 4.71659 | 0.237317 | ||||||||
\(396\) | −19.6981 | − | 2.82570i | −0.989867 | − | 0.141997i | ||||
\(397\) | −20.0540 | −1.00648 | −0.503240 | − | 0.864147i | \(-0.667859\pi\) | ||||
−0.503240 | + | 0.864147i | \(0.667859\pi\) | |||||||
\(398\) | 9.20650 | + | 13.9039i | 0.461480 | + | 0.696939i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.3693 | − | 22.0956i | −1.06847 | − | 1.10478i | ||||
\(401\) | −9.61553 | −0.480177 | −0.240088 | − | 0.970751i | \(-0.577176\pi\) | ||||
−0.240088 | + | 0.970751i | \(0.577176\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.371834 | 0.0185224 | ||||||||
\(404\) | −8.97983 | − | 3.80776i | −0.446763 | − | 0.189443i | ||||
\(405\) | −32.0540 | −1.59277 | ||||||||
\(406\) | −21.1610 | − | 31.9579i | −1.05020 | − | 1.58604i | ||||
\(407\) | −6.99337 | − | 26.4404i | −0.346648 | − | 1.31060i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 17.3153i | − | 0.856189i | −0.903734 | − | 0.428094i | \(-0.859185\pi\) | ||
0.903734 | − | 0.428094i | \(-0.140815\pi\) | |||||||
\(410\) | −12.3423 | − | 18.6397i | −0.609544 | − | 0.920548i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −30.3963 | − | 12.8891i | −1.49752 | − | 0.635001i | ||||
\(413\) | − | 16.4384i | − | 0.808883i | ||||||
\(414\) | 5.52390 | + | 8.34233i | 0.271485 | + | 0.410003i | ||||
\(415\) | 6.04090 | 0.296536 | ||||||||
\(416\) | 1.21922 | − | 5.52390i | 0.0597774 | − | 0.270832i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 15.2216 | + | 13.5497i | 0.744515 | + | 0.662735i | ||||
\(419\) | − | 14.7304i | − | 0.719627i | −0.933024 | − | 0.359814i | \(-0.882840\pi\) | ||
0.933024 | − | 0.359814i | \(-0.117160\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.6847 | 1.49548 | 0.747739 | − | 0.663992i | \(-0.231139\pi\) | ||||
0.747739 | + | 0.663992i | \(0.231139\pi\) | |||||||
\(422\) | 6.43845 | − | 4.26324i | 0.313419 | − | 0.207531i | ||||
\(423\) | 19.2382i | 0.935393i | ||||||||
\(424\) | −6.33122 | − | 34.0540i | −0.307471 | − | 1.65381i | ||||
\(425\) | − | 39.3693i | − | 1.90969i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 51.4291i | 2.48883i | ||||||||
\(428\) | −11.2745 | + | 26.5885i | −0.544972 | + | 1.28521i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.34233 | − | 2.87529i | 0.209406 | − | 0.138659i | ||||
\(431\) | −26.4404 | −1.27359 | −0.636794 | − | 0.771034i | \(-0.719740\pi\) | ||||
−0.636794 | + | 0.771034i | \(0.719740\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.0540 | 1.15596 | 0.577980 | − | 0.816051i | \(-0.303841\pi\) | ||||
0.577980 | + | 0.816051i | \(0.303841\pi\) | |||||||
\(434\) | −1.17708 | − | 1.77766i | −0.0565017 | − | 0.0853302i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.68260 | − | 1.56155i | −0.176365 | − | 0.0747848i | ||||
\(437\) | − | 10.2462i | − | 0.490143i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.8664 | 0.900442 | 0.450221 | − | 0.892917i | \(-0.351345\pi\) | ||||
0.450221 | + | 0.892917i | \(0.351345\pi\) | |||||||
\(440\) | 30.1939 | − | 14.3031i | 1.43944 | − | 0.681872i | ||||
\(441\) | 28.3153 | 1.34835 | ||||||||
\(442\) | 6.04090 | − | 4.00000i | 0.287336 | − | 0.190261i | ||||
\(443\) | − | 27.7189i | − | 1.31696i | −0.752596 | − | 0.658482i | \(-0.771199\pi\) | ||
0.752596 | − | 0.658482i | \(-0.228801\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.12311 | 0.337668 | ||||||||
\(446\) | 9.27015 | + | 14.0000i | 0.438954 | + | 0.662919i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −30.2681 | + | 11.6577i | −1.43003 | + | 0.550773i | ||||
\(449\) | −9.61553 | −0.453785 | −0.226892 | − | 0.973920i | \(-0.572857\pi\) | ||||
−0.226892 | + | 0.973920i | \(0.572857\pi\) | |||||||
\(450\) | 27.1840 | − | 18.0000i | 1.28147 | − | 0.848528i | ||||
\(451\) | 14.2313 | − | 3.76412i | 0.670125 | − | 0.177245i | ||||
\(452\) | −3.65767 | + | 8.62586i | −0.172042 | + | 0.405727i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.3693 | − | 10.1768i | 0.721318 | − | 0.477623i | ||||
\(455\) | − | 14.4401i | − | 0.676962i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 26.3002i | − | 1.23027i | −0.788421 | − | 0.615135i | \(-0.789101\pi\) | ||
0.788421 | − | 0.615135i | \(-0.210899\pi\) | |||||||
\(458\) | 30.4312 | − | 20.1501i | 1.42195 | − | 0.941552i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −15.4654 | − | 6.55789i | −0.721080 | − | 0.305763i | ||||
\(461\) | 17.6155i | 0.820437i | 0.911987 | + | 0.410218i | \(0.134548\pi\) | ||||
−0.911987 | + | 0.410218i | \(0.865452\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 17.0072i | − | 0.790391i | −0.918597 | − | 0.395195i | \(-0.870677\pi\) | ||
0.918597 | − | 0.395195i | \(-0.129323\pi\) | |||||||
\(464\) | −19.2203 | + | 18.5885i | −0.892281 | + | 0.862951i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.684658 | − | 1.03399i | −0.0317162 | − | 0.0478985i | ||||
\(467\) | 23.4199i | 1.08374i | 0.840461 | + | 0.541872i | \(0.182284\pi\) | ||||
−0.840461 | + | 0.541872i | \(0.817716\pi\) | |||||||
\(468\) | 5.52390 | + | 2.34233i | 0.255342 | + | 0.108274i | ||||
\(469\) | 57.0388i | 2.63381i | ||||||||
\(470\) | −17.8324 | − | 26.9309i | −0.822546 | − | 1.24223i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.2745 | + | 2.09612i | −0.518950 | + | 0.0964816i | ||||
\(473\) | 0.876894 | + | 3.31534i | 0.0403196 | + | 0.152440i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −33.3880 | −1.53194 | ||||||||
\(476\) | −38.2462 | − | 16.2177i | −1.75301 | − | 0.743339i | ||||
\(477\) | 36.7386 | 1.68215 | ||||||||
\(478\) | 0.780776 | − | 0.516994i | 0.0357119 | − | 0.0236467i | ||||
\(479\) | 14.0683 | 0.642795 | 0.321397 | − | 0.946944i | \(-0.395847\pi\) | ||||
0.321397 | + | 0.946944i | \(0.395847\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.24621i | 0.375995i | ||||||||
\(482\) | −23.8078 | − | 35.9551i | −1.08441 | − | 1.63771i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.54838 | + | 21.8519i | 0.115836 | + | 0.993268i | ||||
\(485\) | 15.1231 | 0.686705 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.2382i | 0.871766i | 0.900003 | + | 0.435883i | \(0.143564\pi\) | ||||
−0.900003 | + | 0.435883i | \(0.856436\pi\) | |||||||
\(488\) | 35.2732 | − | 6.55789i | 1.59674 | − | 0.296862i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −39.6377 | + | 26.2462i | −1.79065 | + | 1.18568i | ||||
\(491\) | −3.68260 | −0.166193 | −0.0830967 | − | 0.996541i | \(-0.526481\pi\) | ||||
−0.0830967 | + | 0.996541i | \(0.526481\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −34.2462 | −1.54237 | ||||||||
\(494\) | −3.39228 | − | 5.12311i | −0.152626 | − | 0.230499i | ||||
\(495\) | 9.06134 | + | 34.2589i | 0.407277 | + | 1.53982i | ||||
\(496\) | −1.06913 | + | 1.03399i | −0.0480054 | + | 0.0464274i | ||||
\(497\) | 55.8617i | 2.50574i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 3.31077i | − | 0.148210i | −0.997250 | − | 0.0741051i | \(-0.976390\pi\) | ||
0.997250 | − | 0.0741051i | \(-0.0236100\pi\) | |||||||
\(500\) | −7.46543 | + | 17.6057i | −0.333864 | + | 0.787351i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.6284 | + | 17.5616i | 0.519003 | + | 0.783810i | ||||
\(503\) | 13.9867 | 0.623638 | 0.311819 | − | 0.950142i | \(-0.399062\pi\) | ||||
0.311819 | + | 0.950142i | \(0.399062\pi\) | |||||||
\(504\) | −6.28835 | − | 33.8234i | −0.280106 | − | 1.50662i | ||||
\(505\) | 17.3693i | 0.772924i | ||||||||
\(506\) | 7.35463 | − | 8.26218i | 0.326953 | − | 0.367299i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 15.1838 | − | 35.8078i | 0.673670 | − | 1.58871i | ||||
\(509\) | −14.0000 | −0.620539 | −0.310270 | − | 0.950649i | \(-0.600419\pi\) | ||||
−0.310270 | + | 0.950649i | \(0.600419\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 23.5472i | 1.04167i | ||||||||
\(512\) | 11.8551 | + | 19.2732i | 0.523927 | + | 0.851763i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.0181 | + | 7.95786i | −0.530098 | + | 0.351006i | ||||
\(515\) | 58.7943i | 2.59079i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.5616 | − | 5.43845i | 0.904296 | − | 0.239183i | ||||
\(518\) | 39.4233 | − | 26.1043i | 1.73216 | − | 1.14696i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −9.90388 | + | 1.84130i | −0.434314 | + | 0.0807464i | ||||
\(521\) | 25.1771 | 1.10303 | 0.551514 | − | 0.834166i | \(-0.314050\pi\) | ||||
0.551514 | + | 0.834166i | \(0.314050\pi\) | |||||||
\(522\) | −15.6577 | − | 23.6466i | −0.685318 | − | 1.03498i | ||||
\(523\) | 13.4061 | 0.586208 | 0.293104 | − | 0.956081i | \(-0.405312\pi\) | ||||
0.293104 | + | 0.956081i | \(0.405312\pi\) | |||||||
\(524\) | 5.97725 | − | 14.0961i | 0.261117 | − | 0.615792i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.31534 | − | 2.19526i | 0.144556 | − | 0.0957181i | ||||
\(527\) | −1.90495 | −0.0829807 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.4384 | 0.758193 | ||||||||
\(530\) | −51.4291 | + | 34.0540i | −2.23394 | + | 1.47921i | ||||
\(531\) | − | 12.1633i | − | 0.527843i | ||||||
\(532\) | −13.7538 | + | 32.4355i | −0.596302 | + | 1.40626i | ||||
\(533\) | −4.43845 | −0.192250 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 51.4291 | 2.22348 | ||||||||
\(536\) | 39.1207 | − | 7.27320i | 1.68976 | − | 0.314154i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.1158 | + | 8.68466i | −0.565461 | + | 0.374422i | ||||
\(539\) | −8.00447 | − | 30.2631i | −0.344777 | − | 1.30352i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.2462i | 1.73032i | 0.501496 | + | 0.865160i | \(0.332783\pi\) | ||||
−0.501496 | + | 0.865160i | \(0.667217\pi\) | |||||||
\(542\) | −20.9309 | + | 13.8594i | −0.899058 | + | 0.595314i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.24621 | + | 28.2995i | −0.267804 | + | 1.21333i | ||||
\(545\) | 7.12311i | 0.305120i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −36.5357 | −1.56215 | −0.781077 | − | 0.624435i | \(-0.785329\pi\) | ||||
−0.781077 | + | 0.624435i | \(0.785329\pi\) | |||||||
\(548\) | 2.63068 | − | 6.20393i | 0.112377 | − | 0.265019i | ||||
\(549\) | 38.0540i | 1.62410i | ||||||||
\(550\) | −26.9228 | − | 23.9656i | −1.14799 | − | 1.02189i | ||||
\(551\) | 29.0432i | 1.23728i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.36932 | −0.228327 | ||||||||
\(554\) | −4.34233 | − | 6.55789i | −0.184488 | − | 0.278618i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.26324 | + | 10.0540i | −0.180802 | + | 0.426384i | ||||
\(557\) | 19.7538i | 0.836995i | 0.908218 | + | 0.418497i | \(0.137443\pi\) | ||||
−0.908218 | + | 0.418497i | \(0.862557\pi\) | |||||||
\(558\) | −0.870958 | − | 1.31534i | −0.0368706 | − | 0.0556828i | ||||
\(559\) | − | 1.03399i | − | 0.0437330i | ||||||
\(560\) | 40.1547 | + | 41.5194i | 1.69684 | + | 1.75452i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.342329 | − | 0.516994i | −0.0144403 | − | 0.0218081i | ||||
\(563\) | −26.2316 | −1.10553 | −0.552764 | − | 0.833338i | \(-0.686427\pi\) | ||||
−0.552764 | + | 0.833338i | \(0.686427\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 16.6847 | 0.701929 | ||||||||
\(566\) | −6.09612 | + | 4.03657i | −0.256239 | + | 0.169670i | ||||
\(567\) | 36.4899 | 1.53243 | ||||||||
\(568\) | 38.3134 | − | 7.12311i | 1.60759 | − | 0.298879i | ||||
\(569\) | 20.9848i | 0.879730i | 0.898064 | + | 0.439865i | \(0.144974\pi\) | ||||
−0.898064 | + | 0.439865i | \(0.855026\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −36.1181 | −1.51149 | −0.755747 | − | 0.654863i | \(-0.772726\pi\) | ||||
−0.755747 | + | 0.654863i | \(0.772726\pi\) | |||||||
\(572\) | 0.941901 | − | 6.56604i | 0.0393829 | − | 0.274540i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 14.0504 | + | 21.2192i | 0.586452 | + | 0.885673i | ||||
\(575\) | 18.1227i | 0.755768i | ||||||||
\(576\) | −22.3963 | + | 8.62586i | −0.933179 | + | 0.359411i | ||||
\(577\) | −26.0000 | −1.08239 | −0.541197 | − | 0.840896i | \(-0.682029\pi\) | ||||
−0.541197 | + | 0.840896i | \(0.682029\pi\) | |||||||
\(578\) | −10.9026 | + | 7.21922i | −0.453490 | + | 0.300280i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 43.8373 | + | 18.5885i | 1.82024 | + | 0.771847i | ||||
\(581\) | −6.87689 | −0.285302 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.3857 | − | 39.2658i | −0.430130 | − | 1.62622i | ||||
\(584\) | 16.1501 | − | 3.00258i | 0.668296 | − | 0.124248i | ||||
\(585\) | − | 10.6847i | − | 0.441756i | ||||||
\(586\) | 8.49242 | + | 12.8255i | 0.350819 | + | 0.529815i | ||||
\(587\) | − | 26.8937i | − | 1.11002i | −0.831843 | − | 0.555011i | \(-0.812714\pi\) | ||
0.831843 | − | 0.555011i | \(-0.187286\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.61553i | 0.0665667i | ||||||||
\(590\) | 11.2745 | + | 17.0270i | 0.464163 | + | 0.700990i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −22.9309 | − | 23.7102i | −0.942453 | − | 0.974485i | ||||
\(593\) | − | 28.7386i | − | 1.18015i | −0.807347 | − | 0.590077i | \(-0.799097\pi\) | ||
0.807347 | − | 0.590077i | \(-0.200903\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 73.9781i | 3.03281i | ||||||||
\(596\) | −26.6849 | − | 11.3153i | −1.09306 | − | 0.463494i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.78078 | + | 1.84130i | −0.113714 | + | 0.0752964i | ||||
\(599\) | − | 23.1296i | − | 0.945050i | −0.881317 | − | 0.472525i | \(-0.843343\pi\) | ||
0.881317 | − | 0.472525i | \(-0.156657\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 8.73863i | − | 0.356456i | −0.983989 | − | 0.178228i | \(-0.942963\pi\) | ||
0.983989 | − | 0.178228i | \(-0.0570365\pi\) | |||||||
\(602\) | −4.94326 | + | 3.27320i | −0.201472 | + | 0.133406i | ||||
\(603\) | 42.2048i | 1.71871i | ||||||||
\(604\) | −16.5081 | + | 38.9309i | −0.671703 | + | 1.58407i | ||||
\(605\) | 34.0540 | − | 19.3693i | 1.38449 | − | 0.787475i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 34.3404 | 1.39384 | 0.696918 | − | 0.717151i | \(-0.254554\pi\) | ||||
0.696918 | + | 0.717151i | \(0.254554\pi\) | |||||||
\(608\) | 24.0000 | + | 5.29723i | 0.973329 | + | 0.214831i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −35.2732 | − | 53.2704i | −1.42817 | − | 2.15686i | ||||
\(611\) | −6.41273 | −0.259431 | ||||||||
\(612\) | −28.2995 | − | 12.0000i | −1.14394 | − | 0.485071i | ||||
\(613\) | − | 7.36932i | − | 0.297644i | −0.988864 | − | 0.148822i | \(-0.952452\pi\) | ||
0.988864 | − | 0.148822i | \(-0.0475481\pi\) | |||||||
\(614\) | −17.8078 | + | 11.7915i | −0.718663 | + | 0.475865i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −34.3724 | + | 16.2825i | −1.38490 | + | 0.656039i | ||||
\(617\) | 16.6307 | 0.669526 | 0.334763 | − | 0.942302i | \(-0.391344\pi\) | ||||
0.334763 | + | 0.942302i | \(0.391344\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 13.4876i | − | 0.542113i | −0.962563 | − | 0.271056i | \(-0.912627\pi\) | ||
0.962563 | − | 0.271056i | \(-0.0873730\pi\) | |||||||
\(620\) | 2.43845 | + | 1.03399i | 0.0979304 | + | 0.0415259i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.19526 | + | 3.31534i | 0.0880221 | + | 0.132933i | ||||
\(623\) | −8.10887 | −0.324875 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.36932 | −0.174773 | ||||||||
\(626\) | −22.7756 | + | 15.0810i | −0.910297 | + | 0.602757i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.24621 | − | 14.7304i | 0.249251 | − | 0.587807i | ||||
\(629\) | − | 42.2462i | − | 1.68447i | ||||||
\(630\) | −51.0810 | + | 33.8234i | −2.03511 | + | 1.34756i | ||||
\(631\) | 19.6558i | 0.782485i | 0.920288 | + | 0.391242i | \(0.127955\pi\) | ||||
−0.920288 | + | 0.391242i | \(0.872045\pi\) | |||||||
\(632\) | 0.684658 | + | 3.68260i | 0.0272343 | + | 0.146486i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −13.1794 | + | 8.72680i | −0.523422 | + | 0.346586i | ||||
\(635\) | −69.2615 | −2.74856 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.43845i | 0.373965i | ||||||||
\(638\) | −20.8469 | + | 23.4194i | −0.825338 | + | 0.927183i | ||||
\(639\) | 41.3338i | 1.63514i | ||||||||
\(640\) | 23.3563 | − | 32.8348i | 0.923238 | − | 1.29791i | ||||
\(641\) | −5.56155 | −0.219668 | −0.109834 | − | 0.993950i | \(-0.535032\pi\) | ||||
−0.109834 | + | 0.993950i | \(0.535032\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 15.1022i | − | 0.595574i | −0.954632 | − | 0.297787i | \(-0.903751\pi\) | ||
0.954632 | − | 0.297787i | \(-0.0962486\pi\) | |||||||
\(644\) | 17.6057 | + | 7.46543i | 0.693762 | + | 0.294179i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 17.3790 | + | 26.2462i | 0.683768 | + | 1.03264i | ||||
\(647\) | − | 31.1112i | − | 1.22311i | −0.791203 | − | 0.611553i | \(-0.790545\pi\) | ||
0.791203 | − | 0.611553i | \(-0.209455\pi\) | |||||||
\(648\) | −4.65294 | − | 25.0270i | −0.182785 | − | 0.983153i | ||||
\(649\) | −13.0000 | + | 3.43845i | −0.510295 | + | 0.134971i | ||||
\(650\) | 6.00000 | + | 9.06134i | 0.235339 | + | 0.355415i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.65767 | − | 1.55098i | −0.143245 | − | 0.0607411i | ||||
\(653\) | −46.2462 | −1.80975 | −0.904877 | − | 0.425673i | \(-0.860037\pi\) | ||||
−0.904877 | + | 0.425673i | \(0.860037\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −27.2655 | −1.06535 | ||||||||
\(656\) | 12.7618 | − | 12.3423i | 0.498265 | − | 0.481887i | ||||
\(657\) | 17.4233i | 0.679747i | ||||||||
\(658\) | 20.3002 | + | 30.6578i | 0.791384 | + | 1.19517i | ||||
\(659\) | 20.1907 | 0.786517 | 0.393258 | − | 0.919428i | \(-0.371348\pi\) | ||||
0.393258 | + | 0.919428i | \(0.371348\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.0000 | 0.544537 | 0.272268 | − | 0.962221i | \(-0.412226\pi\) | ||||
0.272268 | + | 0.962221i | \(0.412226\pi\) | |||||||
\(662\) | −0.644283 | − | 0.973012i | −0.0250408 | − | 0.0378172i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.876894 | + | 4.71659i | 0.0340301 | + | 0.183039i | ||||
\(665\) | 62.7386 | 2.43290 | ||||||||
\(666\) | 29.1705 | − | 19.3153i | 1.13033 | − | 0.748454i | ||||
\(667\) | 15.7644 | 0.610400 | ||||||||
\(668\) | −4.19960 | + | 9.90388i | −0.162487 | + | 0.383193i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −39.1207 | − | 59.0810i | −1.51136 | − | 2.28250i | ||||
\(671\) | 40.6716 | − | 10.7575i | 1.57011 | − | 0.415288i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.7538i | 1.06983i | 0.844906 | + | 0.534915i | \(0.179656\pi\) | ||||
−0.844906 | + | 0.534915i | \(0.820344\pi\) | |||||||
\(674\) | −15.8078 | − | 23.8733i | −0.608892 | − | 0.919564i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.780776 | + | 1.84130i | −0.0300299 | + | 0.0708193i | ||||
\(677\) | 2.63068i | 0.101105i | 0.998721 | + | 0.0505527i | \(0.0160983\pi\) | ||||
−0.998721 | + | 0.0505527i | \(0.983902\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.2160 | −0.660689 | ||||||||
\(680\) | 50.7386 | − | 9.43318i | 1.94574 | − | 0.361746i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.15961 | + | 1.30270i | −0.0444038 | + | 0.0498831i | ||||
\(683\) | − | 20.6898i | − | 0.791673i | −0.918321 | − | 0.395836i | \(-0.870455\pi\) | ||
0.918321 | − | 0.395836i | \(-0.129545\pi\) | |||||||
\(684\) | −10.1768 | + | 24.0000i | −0.389121 | + | 0.917663i | ||||
\(685\) | −12.0000 | −0.458496 | ||||||||
\(686\) | 11.6577 | − | 7.71917i | 0.445092 | − | 0.294719i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.87529 | + | 2.97301i | 0.109619 | + | 0.113345i | ||||
\(689\) | 12.2462i | 0.466543i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 28.3453i | − | 1.07831i | −0.842208 | − | 0.539153i | \(-0.818744\pi\) | ||
0.842208 | − | 0.539153i | \(-0.181256\pi\) | |||||||
\(692\) | 7.01124 | + | 2.97301i | 0.266527 | + | 0.113017i | ||||
\(693\) | −10.3153 | − | 39.0000i | −0.391847 | − | 1.48149i | ||||
\(694\) | 7.80776 | − | 5.16994i | 0.296379 | − | 0.196248i | ||||
\(695\) | 19.4470 | 0.737667 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 22.7386 | 0.861287 | ||||||||
\(698\) | 14.0540 | + | 21.2247i | 0.531951 | + | 0.803365i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 24.3266 | − | 57.3693i | 0.919460 | − | 2.16836i | ||||
\(701\) | − | 13.8078i | − | 0.521512i | −0.965405 | − | 0.260756i | \(-0.916028\pi\) | ||
0.965405 | − | 0.260756i | \(-0.0839718\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −35.8278 | −1.35127 | ||||||||
\(704\) | 15.5504 | + | 21.4985i | 0.586079 | + | 0.810254i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.04090 | − | 4.00000i | 0.227352 | − | 0.150542i | ||||
\(707\) | − | 19.7731i | − | 0.743642i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.9309 | −1.08652 | −0.543261 | − | 0.839564i | \(-0.682811\pi\) | ||||
−0.543261 | + | 0.839564i | \(0.682811\pi\) | |||||||
\(710\) | −38.3134 | − | 57.8617i | −1.43787 | − | 2.17151i | ||||
\(711\) | −3.97292 | −0.148996 | ||||||||
\(712\) | 1.03399 | + | 5.56155i | 0.0387503 | + | 0.208428i | ||||
\(713\) | 0.876894 | 0.0328400 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.4196 | + | 3.02045i | −0.427070 | + | 0.112958i | ||||
\(716\) | 38.2462 | + | 16.2177i | 1.42933 | + | 0.606085i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.3423 | + | 6.84821i | −0.385972 | + | 0.255573i | ||||
\(719\) | 38.0230i | 1.41802i | 0.705199 | + | 0.709010i | \(0.250858\pi\) | ||||
−0.705199 | + | 0.709010i | \(0.749142\pi\) | |||||||
\(720\) | 29.7116 | + | 30.7215i | 1.10729 | + | 1.14492i | ||||
\(721\) | − | 66.9309i | − | 2.49264i | ||||||
\(722\) | −0.145160 | + | 0.0961180i | −0.00540228 | + | 0.00357714i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.2462 | − | 33.5968i | 0.529456 | − | 1.24861i | ||||
\(725\) | − | 51.3693i | − | 1.90781i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.0006i | 0.890131i | 0.895498 | + | 0.445066i | \(0.146820\pi\) | ||||
−0.895498 | + | 0.445066i | \(0.853180\pi\) | |||||||
\(728\) | 11.2745 | − | 2.09612i | 0.417860 | − | 0.0776873i | ||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | −16.1501 | − | 24.3903i | −0.597742 | − | 0.902724i | ||||
\(731\) | 5.29723i | 0.195925i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 43.8617i | − | 1.62007i | −0.586381 | − | 0.810035i | \(-0.699448\pi\) | ||
0.586381 | − | 0.810035i | \(-0.300552\pi\) | |||||||
\(734\) | −8.97983 | − | 13.5616i | −0.331452 | − | 0.500566i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.87529 | − | 13.0270i | 0.105985 | − | 0.480181i | ||||
\(737\) | 45.1080 | − | 11.9309i | 1.66157 | − | 0.439479i | ||||
\(738\) | 10.3963 | + | 15.7007i | 0.382693 | + | 0.577953i | ||||
\(739\) | 22.6305 | 0.832475 | 0.416238 | − | 0.909256i | \(-0.363348\pi\) | ||||
0.416238 | + | 0.909256i | \(0.363348\pi\) | |||||||
\(740\) | −22.9309 | + | 54.0777i | −0.842956 | + | 1.98794i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 58.5464 | − | 38.7667i | 2.14931 | − | 1.42317i | ||||
\(743\) | −32.7716 | −1.20227 | −0.601136 | − | 0.799147i | \(-0.705285\pi\) | ||||
−0.601136 | + | 0.799147i | \(0.705285\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 51.6155i | 1.89105i | ||||||||
\(746\) | −12.5346 | − | 18.9300i | −0.458923 | − | 0.693077i | ||||
\(747\) | −5.08842 | −0.186176 | ||||||||
\(748\) | −4.82546 | + | 33.6385i | −0.176436 | + | 1.22995i | ||||
\(749\) | −58.5464 | −2.13924 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.58755i | 0.203892i | 0.994790 | + | 0.101946i | \(0.0325070\pi\) | ||||
−0.994790 | + | 0.101946i | \(0.967493\pi\) | |||||||
\(752\) | 18.4384 | − | 17.8324i | 0.672381 | − | 0.650280i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.88220 | − | 5.21922i | 0.287053 | − | 0.190073i | ||||
\(755\) | 75.3024 | 2.74053 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.246211 | −0.00894870 | −0.00447435 | − | 0.999990i | \(-0.501424\pi\) | ||||
−0.00447435 | + | 0.999990i | \(0.501424\pi\) | |||||||
\(758\) | 10.6302 | + | 16.0540i | 0.386106 | + | 0.583107i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.00000 | − | 43.0299i | −0.290191 | − | 1.56086i | ||||
\(761\) | 1.31534i | 0.0476811i | 0.999716 | + | 0.0238405i | \(0.00758940\pi\) | ||||
−0.999716 | + | 0.0238405i | \(0.992411\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 8.10887i | − | 0.293561i | ||||||
\(764\) | −24.1501 | − | 10.2405i | −0.873720 | − | 0.370488i | ||||
\(765\) | 54.7386i | 1.97908i | ||||||||
\(766\) | 8.10887 | + | 12.2462i | 0.292985 | + | 0.442474i | ||||
\(767\) | 4.05444 | 0.146397 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28.0540i | 1.01165i | 0.862635 | + | 0.505826i | \(0.168812\pi\) | ||||
−0.862635 | + | 0.505826i | \(0.831188\pi\) | |||||||
\(770\) | 50.5902 | + | 45.0332i | 1.82314 | + | 1.62288i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −22.5490 | − | 9.56155i | −0.811555 | − | 0.344128i | ||||
\(773\) | −40.7386 | −1.46527 | −0.732633 | − | 0.680623i | \(-0.761709\pi\) | ||||
−0.732633 | + | 0.680623i | \(0.761709\pi\) | |||||||
\(774\) | −3.65767 | + | 2.42194i | −0.131472 | + | 0.0870548i | ||||
\(775\) | − | 2.85742i | − | 0.102641i | ||||||
\(776\) | 2.19526 | + | 11.8078i | 0.0788054 | + | 0.423874i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.1498 | − | 9.36932i | 0.507294 | − | 0.335906i | ||||
\(779\) | − | 19.2840i | − | 0.690920i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 44.1771 | − | 11.6847i | 1.58078 | − | 0.418110i | ||||
\(782\) | 14.2462 | − | 9.43318i | 0.509443 | − | 0.337330i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −26.2462 | − | 27.1383i | −0.937365 | − | 0.969223i | ||||
\(785\) | −28.4924 | −1.01694 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.5222 | −1.37317 | −0.686583 | − | 0.727051i | \(-0.740890\pi\) | ||||
−0.686583 | + | 0.727051i | \(0.740890\pi\) | |||||||
\(788\) | 35.6647 | + | 15.1231i | 1.27050 | + | 0.538738i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.56155 | − | 3.68260i | 0.197871 | − | 0.131021i | ||||
\(791\) | −18.9936 | −0.675336 | ||||||||
\(792\) | −25.4332 | + | 12.0479i | −0.903730 | + | 0.428103i | ||||
\(793\) | −12.6847 | −0.450445 | ||||||||
\(794\) | −23.6466 | + | 15.6577i | −0.839186 | + | 0.555670i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.7116 | + | 9.20650i | 0.769549 | + | 0.326316i | ||||
\(797\) | 28.0000 | 0.991811 | 0.495905 | − | 0.868377i | \(-0.334836\pi\) | ||||
0.495905 | + | 0.868377i | \(0.334836\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 32.8531 | 1.16226 | ||||||||
\(800\) | −42.4493 | − | 9.36932i | −1.50081 | − | 0.331255i | ||||
\(801\) | −6.00000 | −0.212000 | ||||||||
\(802\) | −11.3381 | + | 7.50758i | −0.400363 | + | 0.265102i | ||||
\(803\) | 18.6218 | − | 4.92539i | 0.657149 | − | 0.173813i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | − | 34.0540i | − | 1.20024i | ||||||
\(806\) | 0.438447 | − | 0.290319i | 0.0154436 | − | 0.0102261i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −13.5616 | + | 2.52132i | −0.477094 | + | 0.0886999i | ||||
\(809\) | 26.8769i | 0.944941i | 0.881346 | + | 0.472471i | \(0.156638\pi\) | ||||
−0.881346 | + | 0.472471i | \(0.843362\pi\) | |||||||
\(810\) | −37.7964 | + | 25.0270i | −1.32803 | + | 0.879359i | ||||
\(811\) | 27.3471 | 0.960285 | 0.480143 | − | 0.877190i | \(-0.340585\pi\) | ||||
0.480143 | + | 0.877190i | \(0.340585\pi\) | |||||||
\(812\) | −49.9039 | − | 21.1610i | −1.75128 | − | 0.742606i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −28.8902 | − | 25.7168i | −1.01260 | − | 0.901374i | ||||
\(815\) | 7.07488i | 0.247822i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.49242 | 0.157170 | ||||||||
\(818\) | −13.5194 | − | 20.4173i | −0.472695 | − | 0.713875i | ||||
\(819\) | 12.1633i | 0.425020i | ||||||||
\(820\) | −29.1068 | − | 12.3423i | −1.01646 | − | 0.431013i | ||||
\(821\) | 45.2311i | 1.57857i | 0.614024 | + | 0.789287i | \(0.289550\pi\) | ||||
−0.614024 | + | 0.789287i | \(0.710450\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 10.8848i | − | 0.379419i | −0.981840 | − | 0.189710i | \(-0.939245\pi\) | ||
0.981840 | − | 0.189710i | \(-0.0607547\pi\) | |||||||
\(824\) | −45.9052 | + | 8.53457i | −1.59918 | + | 0.297316i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −12.8348 | − | 19.3833i | −0.446578 | − | 0.674433i | ||||
\(827\) | −13.1973 | −0.458915 | −0.229457 | − | 0.973319i | \(-0.573695\pi\) | ||||
−0.229457 | + | 0.973319i | \(0.573695\pi\) | |||||||
\(828\) | 13.0270 | + | 5.52390i | 0.452719 | + | 0.191969i | ||||
\(829\) | −10.9848 | −0.381519 | −0.190760 | − | 0.981637i | \(-0.561095\pi\) | ||||
−0.190760 | + | 0.981637i | \(0.561095\pi\) | |||||||
\(830\) | 7.12311 | − | 4.71659i | 0.247247 | − | 0.163715i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.87529 | − | 7.46543i | −0.0996827 | − | 0.258817i | ||||
\(833\) | − | 48.3542i | − | 1.67537i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.1567 | 0.662944 | ||||||||
\(836\) | 28.5278 | + | 4.09233i | 0.986655 | + | 0.141536i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11.5012 | − | 17.3693i | −0.397301 | − | 0.600013i | ||||
\(839\) | 33.3880i | 1.15268i | 0.817210 | + | 0.576340i | \(0.195520\pi\) | ||||
−0.817210 | + | 0.576340i | \(0.804480\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.6847 | −0.540850 | ||||||||
\(842\) | 36.1817 | − | 23.9579i | 1.24690 | − | 0.825642i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.26324 | − | 10.0540i | 0.146747 | − | 0.346072i | ||||
\(845\) | 3.56155 | 0.122521 | ||||||||
\(846\) | 15.0207 | + | 22.6847i | 0.516423 | + | 0.779915i | ||||
\(847\) | −38.7667 | + | 22.0498i | −1.33204 | + | 0.757641i | ||||
\(848\) | −34.0540 | − | 35.2114i | −1.16942 | − | 1.20916i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −30.7386 | − | 46.4222i | −1.05433 | − | 1.59227i | ||||
\(851\) | 19.4470i | 0.666634i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32.2462i | 1.10409i | 0.833815 | + | 0.552045i | \(0.186152\pi\) | ||||
−0.833815 | + | 0.552045i | \(0.813848\pi\) | |||||||
\(854\) | 40.1547 | + | 60.6425i | 1.37406 | + | 2.07514i | ||||
\(855\) | 46.4222 | 1.58761 | ||||||||
\(856\) | 7.46543 | + | 40.1547i | 0.255163 | + | 1.37246i | ||||
\(857\) | 12.0000i | 0.409912i | 0.978771 | + | 0.204956i | \(0.0657052\pi\) | ||||
−0.978771 | + | 0.204956i | \(0.934295\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 56.2730i | − | 1.92001i | −0.279982 | − | 0.960005i | \(-0.590329\pi\) | ||
0.279982 | − | 0.960005i | \(-0.409671\pi\) | |||||||
\(860\) | 2.87529 | − | 6.78078i | 0.0980465 | − | 0.231223i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −31.1771 | + | 20.6440i | −1.06190 | + | 0.703138i | ||||
\(863\) | − | 55.3205i | − | 1.88313i | −0.336827 | − | 0.941566i | \(-0.609354\pi\) | ||
0.336827 | − | 0.941566i | \(-0.390646\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 13.5616i | − | 0.461107i | ||||||
\(866\) | 28.3632 | − | 18.7808i | 0.963820 | − | 0.638197i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.77590 | − | 1.17708i | −0.0942203 | − | 0.0399527i | ||||
\(869\) | 1.12311 | + | 4.24621i | 0.0380987 | + | 0.144043i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.0683 | −0.476685 | ||||||||
\(872\) | −5.56155 | + | 1.03399i | −0.188338 | + | 0.0350152i | ||||
\(873\) | −12.7386 | −0.431137 | ||||||||
\(874\) | −8.00000 | − | 12.0818i | −0.270604 | − | 0.408673i | ||||
\(875\) | −38.7667 | −1.31055 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 14.3845i | 0.485729i | 0.970060 | + | 0.242865i | \(0.0780871\pi\) | ||||
−0.970060 | + | 0.242865i | \(0.921913\pi\) | |||||||
\(878\) | 22.2462 | − | 14.7304i | 0.750773 | − | 0.497127i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 24.4356 | − | 40.4401i | 0.823723 | − | 1.36324i | ||||
\(881\) | 11.5616 | 0.389519 | 0.194759 | − | 0.980851i | \(-0.437607\pi\) | ||||
0.194759 | + | 0.980851i | \(0.437607\pi\) | |||||||
\(882\) | 33.3880 | − | 22.1080i | 1.12423 | − | 0.744413i | ||||
\(883\) | − | 12.8255i | − | 0.431611i | −0.976436 | − | 0.215806i | \(-0.930762\pi\) | ||
0.976436 | − | 0.215806i | \(-0.0692377\pi\) | |||||||
\(884\) | 4.00000 | − | 9.43318i | 0.134535 | − | 0.317272i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −21.6423 | − | 32.6847i | −0.727086 | − | 1.09806i | ||||
\(887\) | −42.8669 | −1.43933 | −0.719665 | − | 0.694321i | \(-0.755705\pi\) | ||||
−0.719665 | + | 0.694321i | \(0.755705\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 78.8466 | 2.64443 | ||||||||
\(890\) | 8.39919 | − | 5.56155i | 0.281541 | − | 0.186424i | ||||
\(891\) | −7.63263 | − | 28.8573i | −0.255703 | − | 0.966755i | ||||
\(892\) | 21.8617 | + | 9.27015i | 0.731985 | + | 0.310388i | ||||
\(893\) | − | 27.8617i | − | 0.932358i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 73.9781i | − | 2.47281i | ||||||
\(896\) | −26.5885 | + | 37.3787i | −0.888261 | + | 1.24874i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.3381 | + | 7.50758i | −0.378358 | + | 0.250531i | ||||
\(899\) | −2.48558 | −0.0828989 | ||||||||
\(900\) | 18.0000 | − | 42.4493i | 0.600000 | − | 1.41498i | ||||
\(901\) | − | 62.7386i | − | 2.09013i | ||||||
\(902\) | 13.8418 | − | 15.5499i | 0.460883 | − | 0.517755i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.42194 | + | 13.0270i | 0.0805525 | + | 0.433271i | ||||
\(905\) | −64.9848 | −2.16017 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.4199i | 0.777646i | 0.921313 | + | 0.388823i | \(0.127118\pi\) | ||||
−0.921313 | + | 0.388823i | \(0.872882\pi\) | |||||||
\(908\) | 10.1768 | − | 24.0000i | 0.337731 | − | 0.796468i | ||||
\(909\) | − | 14.6307i | − | 0.485269i | ||||||
\(910\) | −11.2745 | − | 17.0270i | −0.373745 | − | 0.564439i | ||||
\(911\) | 1.74192i | 0.0577122i | 0.999584 | + | 0.0288561i | \(0.00918646\pi\) | ||||
−0.999584 | + | 0.0288561i | \(0.990814\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.43845 | + | 5.43845i | 0.0476057 | + | 0.179986i | ||||
\(914\) | −20.5346 | − | 31.0118i | −0.679223 | − | 1.02578i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 20.1501 | − | 47.5199i | 0.665778 | − | 1.57010i | ||||
\(917\) | 31.0388 | 1.02499 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 47.0029 | 1.55048 | 0.775241 | − | 0.631666i | \(-0.217629\pi\) | ||||
0.775241 | + | 0.631666i | \(0.217629\pi\) | |||||||
\(920\) | −23.3563 | + | 4.34233i | −0.770033 | + | 0.143162i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.7538 | + | 20.7713i | 0.452957 | + | 0.684066i | ||||
\(923\) | −13.7779 | −0.453506 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 63.3693 | 2.08357 | ||||||||
\(926\) | −13.2788 | − | 20.0540i | −0.436369 | − | 0.659015i | ||||
\(927\) | − | 49.5242i | − | 1.62659i | ||||||
\(928\) | −8.15009 | + | 36.9254i | −0.267540 | + | 1.21214i | ||||
\(929\) | −14.8769 | −0.488095 | −0.244048 | − | 0.969763i | \(-0.578475\pi\) | ||||
−0.244048 | + | 0.969763i | \(0.578475\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −41.0077 | −1.34397 | ||||||||
\(932\) | −1.61463 | − | 0.684658i | −0.0528888 | − | 0.0224267i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 18.2857 | + | 27.6155i | 0.598327 | + | 0.903608i | ||||
\(935\) | 58.5040 | − | 15.4741i | 1.91329 | − | 0.506056i | ||||
\(936\) | 8.34233 | − | 1.55098i | 0.272678 | − | 0.0506954i | ||||
\(937\) | 3.12311i | 0.102027i | 0.998698 | + | 0.0510137i | \(0.0162452\pi\) | ||||
−0.998698 | + | 0.0510137i | \(0.983755\pi\) | |||||||
\(938\) | 44.5346 | + | 67.2572i | 1.45411 | + | 2.19602i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −42.0540 | − | 17.8324i | −1.37165 | − | 0.581628i | ||||
\(941\) | 30.4924i | 0.994025i | 0.867744 | + | 0.497012i | \(0.165570\pi\) | ||||
−0.867744 | + | 0.497012i | \(0.834430\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −10.4672 | −0.340858 | ||||||||
\(944\) | −11.6577 | + | 11.2745i | −0.379425 | + | 0.366953i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.62253 | + | 3.22462i | 0.117779 | + | 0.104841i | ||||
\(947\) | 30.5763i | 0.993597i | 0.867866 | + | 0.496798i | \(0.165491\pi\) | ||||
−0.867866 | + | 0.496798i | \(0.834509\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.80776 | −0.188528 | ||||||||
\(950\) | −39.3693 | + | 26.0685i | −1.27731 | + | 0.845775i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −57.7603 | + | 10.7386i | −1.87202 | + | 0.348041i | ||||
\(953\) | 5.75379i | 0.186383i | 0.995648 | + | 0.0931917i | \(0.0297070\pi\) | ||||
−0.995648 | + | 0.0931917i | \(0.970293\pi\) | |||||||
\(954\) | 43.3203 | − | 28.6847i | 1.40255 | − | 0.928700i | ||||
\(955\) | 46.7125i | 1.51158i | ||||||||
\(956\) | 0.516994 | − | 1.21922i | 0.0167208 | − | 0.0394325i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 16.5885 | − | 10.9842i | 0.535951 | − | 0.354882i | ||||
\(959\) | 13.6607 | 0.441126 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.8617 | 0.995540 | ||||||||
\(962\) | 6.43845 | + | 9.72350i | 0.207584 | + | 0.313498i | ||||
\(963\) | −43.3203 | −1.39598 | ||||||||
\(964\) | −56.1457 | − | 23.8078i | −1.80833 | − | 0.766796i | ||||
\(965\) | 43.6155i | 1.40403i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 46.9213 | 1.50889 | 0.754444 | − | 0.656364i | \(-0.227906\pi\) | ||||
0.754444 | + | 0.656364i | \(0.227906\pi\) | |||||||
\(968\) | 20.0664 | + | 23.7769i | 0.644958 | + | 0.764218i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 17.8324 | − | 11.8078i | 0.572563 | − | 0.379124i | ||||
\(971\) | 25.6509i | 0.823177i | 0.911370 | + | 0.411589i | \(0.135026\pi\) | ||||
−0.911370 | + | 0.411589i | \(0.864974\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −22.1383 | −0.709720 | ||||||||
\(974\) | 15.0207 | + | 22.6847i | 0.481295 | + | 0.726863i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 36.4720 | − | 35.2732i | 1.16744 | − | 1.12907i | ||||
\(977\) | −57.1231 | −1.82753 | −0.913765 | − | 0.406243i | \(-0.866839\pi\) | ||||
−0.913765 | + | 0.406243i | \(0.866839\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.69614 | + | 6.41273i | 0.0542089 | + | 0.204952i | ||||
\(980\) | −26.2462 | + | 61.8963i | −0.838404 | + | 1.97720i | ||||
\(981\) | − | 6.00000i | − | 0.191565i | ||||||
\(982\) | −4.34233 | + | 2.87529i | −0.138569 | + | 0.0917541i | ||||
\(983\) | 20.5625i | 0.655842i | 0.944705 | + | 0.327921i | \(0.106348\pi\) | ||||
−0.944705 | + | 0.327921i | \(0.893652\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 68.9848i | − | 2.19804i | ||||||
\(986\) | −40.3813 | + | 26.7386i | −1.28600 | + | 0.851532i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.00000 | − | 3.39228i | −0.254514 | − | 0.107923i | ||||
\(989\) | − | 2.43845i | − | 0.0775381i | ||||||
\(990\) | 37.4332 | + | 33.3214i | 1.18971 | + | 1.05902i | ||||
\(991\) | 40.8347i | 1.29716i | 0.761148 | + | 0.648578i | \(0.224636\pi\) | ||||
−0.761148 | + | 0.648578i | \(0.775364\pi\) | |||||||
\(992\) | −0.453349 | + | 2.05398i | −0.0143938 | + | 0.0652138i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 43.6155 | + | 65.8692i | 1.38340 | + | 2.08924i | ||||
\(995\) | − | 41.9960i | − | 1.33136i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 23.4233i | − | 0.741823i | −0.928668 | − | 0.370912i | \(-0.879045\pi\) | ||
0.928668 | − | 0.370912i | \(-0.120955\pi\) | |||||||
\(998\) | −2.58497 | − | 3.90388i | −0.0818258 | − | 0.123575i | ||||
\(999\) | 0 | 0 |
(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 | 572.2.e.a.131.7 | yes | 8 | |
4.3 | odd | 2 | inner | 572.2.e.a.131.1 | ✓ | 8 | |
11.10 | odd | 2 | inner | 572.2.e.a.131.2 | yes | 8 | |
44.43 | even | 2 | inner | 572.2.e.a.131.8 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.e.a.131.1 | ✓ | 8 | 4.3 | odd | 2 | inner | |
572.2.e.a.131.2 | yes | 8 | 11.10 | odd | 2 | inner | |
572.2.e.a.131.7 | yes | 8 | 1.1 | even | 1 | trivial | |
572.2.e.a.131.8 | yes | 8 | 44.43 | even | 2 | inner |