Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 103.6 | ||
Character | \(\chi\) | \(=\) | 230.103 |
Dual form | 230.2.l.a.67.6 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.212565 | + | 0.977147i | −0.150306 | + | 0.690947i | ||||
\(3\) | 2.30436 | − | 1.72503i | 1.33043 | − | 0.995944i | 0.331810 | − | 0.943346i | \(-0.392341\pi\) |
0.998616 | − | 0.0525977i | \(-0.0167501\pi\) | |||||||
\(4\) | −0.909632 | − | 0.415415i | −0.454816 | − | 0.207708i | ||||
\(5\) | 0.975205 | + | 2.01221i | 0.436125 | + | 0.899886i | ||||
\(6\) | 1.19578 | + | 2.61838i | 0.488173 | + | 1.06895i | ||||
\(7\) | −0.218590 | + | 3.05628i | −0.0826191 | + | 1.15517i | 0.771899 | + | 0.635745i | \(0.219307\pi\) |
−0.854518 | + | 0.519421i | \(0.826148\pi\) | |||||||
\(8\) | 0.599278 | − | 0.800541i | 0.211877 | − | 0.283034i | ||||
\(9\) | 1.48918 | − | 5.07170i | 0.496395 | − | 1.69057i | ||||
\(10\) | −2.17352 | + | 0.525193i | −0.687326 | + | 0.166081i | ||||
\(11\) | −0.582269 | + | 0.906028i | −0.175561 | + | 0.273178i | −0.917871 | − | 0.396878i | \(-0.870094\pi\) |
0.742311 | + | 0.670056i | \(0.233730\pi\) | |||||||
\(12\) | −2.81273 | + | 0.611871i | −0.811964 | + | 0.176632i | ||||
\(13\) | −1.36590 | + | 0.0976911i | −0.378833 | + | 0.0270946i | −0.259457 | − | 0.965755i | \(-0.583544\pi\) |
−0.119375 | + | 0.992849i | \(0.538089\pi\) | |||||||
\(14\) | −2.93997 | − | 0.863254i | −0.785741 | − | 0.230714i | ||||
\(15\) | 5.71834 | + | 2.95460i | 1.47647 | + | 0.762875i | ||||
\(16\) | 0.654861 | + | 0.755750i | 0.163715 | + | 0.188937i | ||||
\(17\) | 2.17259 | − | 5.82495i | 0.526931 | − | 1.41276i | −0.352086 | − | 0.935968i | \(-0.614528\pi\) |
0.879017 | − | 0.476790i | \(-0.158200\pi\) | |||||||
\(18\) | 4.63924 | + | 2.53322i | 1.09348 | + | 0.597085i | ||||
\(19\) | 2.12916 | − | 4.66221i | 0.488463 | − | 1.06958i | −0.491586 | − | 0.870829i | \(-0.663583\pi\) |
0.980049 | − | 0.198756i | \(-0.0636900\pi\) | |||||||
\(20\) | −0.0511768 | − | 2.23548i | −0.0114435 | − | 0.499869i | ||||
\(21\) | 4.76846 | + | 7.41986i | 1.04056 | + | 1.61915i | ||||
\(22\) | −0.761553 | − | 0.761553i | −0.162364 | − | 0.162364i | ||||
\(23\) | −3.89084 | − | 2.80382i | −0.811296 | − | 0.584636i | ||||
\(24\) | − | 2.87851i | − | 0.587573i | ||||||
\(25\) | −3.09795 | + | 3.92463i | −0.619590 | + | 0.784926i | ||||
\(26\) | 0.194884 | − | 1.35545i | 0.0382200 | − | 0.265826i | ||||
\(27\) | −2.29938 | − | 6.16487i | −0.442515 | − | 1.18643i | ||||
\(28\) | 1.46846 | − | 2.68929i | 0.277513 | − | 0.508227i | ||||
\(29\) | −6.11633 | + | 2.79324i | −1.13577 | + | 0.518691i | −0.892402 | − | 0.451242i | \(-0.850981\pi\) |
−0.243373 | + | 0.969933i | \(0.578254\pi\) | |||||||
\(30\) | −4.10260 | + | 4.95961i | −0.749029 | + | 0.905496i | ||||
\(31\) | −0.518143 | − | 3.60377i | −0.0930613 | − | 0.647256i | −0.981951 | − | 0.189135i | \(-0.939432\pi\) |
0.888890 | − | 0.458121i | \(-0.151477\pi\) | |||||||
\(32\) | −0.877679 | + | 0.479249i | −0.155153 | + | 0.0847201i | ||||
\(33\) | 0.221162 | + | 3.09225i | 0.0384994 | + | 0.538291i | ||||
\(34\) | 5.23001 | + | 3.36112i | 0.896939 | + | 0.576428i | ||||
\(35\) | −6.36304 | + | 2.54065i | −1.07555 | + | 0.429449i | ||||
\(36\) | −3.46147 | + | 3.99475i | −0.576911 | + | 0.665791i | ||||
\(37\) | 4.08713 | + | 7.48501i | 0.671919 | + | 1.23053i | 0.961875 | + | 0.273488i | \(0.0881775\pi\) |
−0.289956 | + | 0.957040i | \(0.593641\pi\) | |||||||
\(38\) | 4.10308 | + | 3.07153i | 0.665607 | + | 0.498267i | ||||
\(39\) | −2.97901 | + | 2.58133i | −0.477024 | + | 0.413343i | ||||
\(40\) | 2.19527 | + | 0.425179i | 0.347103 | + | 0.0672267i | ||||
\(41\) | −10.3436 | + | 3.03716i | −1.61540 | + | 0.474325i | −0.959778 | − | 0.280760i | \(-0.909413\pi\) |
−0.655626 | + | 0.755086i | \(0.727595\pi\) | |||||||
\(42\) | −8.26390 | + | 3.08228i | −1.27515 | + | 0.475606i | ||||
\(43\) | −1.88948 | − | 2.52405i | −0.288144 | − | 0.384915i | 0.632991 | − | 0.774159i | \(-0.281827\pi\) |
−0.921134 | + | 0.389245i | \(0.872736\pi\) | |||||||
\(44\) | 0.906028 | − | 0.582269i | 0.136589 | − | 0.0877804i | ||||
\(45\) | 11.6576 | − | 1.94940i | 1.73781 | − | 0.290599i | ||||
\(46\) | 3.56680 | − | 3.20593i | 0.525895 | − | 0.472688i | ||||
\(47\) | 1.06238 | − | 1.06238i | 0.154964 | − | 0.154964i | −0.625367 | − | 0.780331i | \(-0.715051\pi\) |
0.780331 | + | 0.625367i | \(0.215051\pi\) | |||||||
\(48\) | 2.81273 | + | 0.611871i | 0.405982 | + | 0.0883160i | ||||
\(49\) | −2.36433 | − | 0.339940i | −0.337762 | − | 0.0485628i | ||||
\(50\) | −3.17642 | − | 3.86139i | −0.449214 | − | 0.546083i | ||||
\(51\) | −5.04174 | − | 17.1706i | −0.705984 | − | 2.40436i | ||||
\(52\) | 1.28305 | + | 0.478552i | 0.177927 | + | 0.0663633i | ||||
\(53\) | 4.45094 | + | 0.318337i | 0.611383 | + | 0.0437270i | 0.373598 | − | 0.927591i | \(-0.378124\pi\) |
0.237785 | + | 0.971318i | \(0.423579\pi\) | |||||||
\(54\) | 6.51275 | − | 0.936392i | 0.886273 | − | 0.127427i | ||||
\(55\) | −2.39095 | − | 0.288082i | −0.322395 | − | 0.0388450i | ||||
\(56\) | 2.31568 | + | 2.00655i | 0.309446 | + | 0.268137i | ||||
\(57\) | −3.13607 | − | 14.4163i | −0.415383 | − | 1.90948i | ||||
\(58\) | −1.42928 | − | 6.57030i | −0.187674 | − | 0.862723i | ||||
\(59\) | −4.89085 | − | 4.23795i | −0.636735 | − | 0.551734i | 0.275552 | − | 0.961286i | \(-0.411139\pi\) |
−0.912287 | + | 0.409552i | \(0.865685\pi\) | |||||||
\(60\) | −3.97419 | − | 5.06308i | −0.513066 | − | 0.653641i | ||||
\(61\) | −7.99883 | + | 1.15006i | −1.02414 | + | 0.147250i | −0.633863 | − | 0.773446i | \(-0.718532\pi\) |
−0.390282 | + | 0.920695i | \(0.627623\pi\) | |||||||
\(62\) | 3.63155 | + | 0.259734i | 0.461207 | + | 0.0329862i | ||||
\(63\) | 15.1750 | + | 5.65999i | 1.91187 | + | 0.713092i | ||||
\(64\) | −0.281733 | − | 0.959493i | −0.0352166 | − | 0.119937i | ||||
\(65\) | −1.52861 | − | 2.65320i | −0.189600 | − | 0.329090i | ||||
\(66\) | −3.06859 | − | 0.441197i | −0.377718 | − | 0.0543076i | ||||
\(67\) | 13.3022 | + | 2.89371i | 1.62512 | + | 0.353523i | 0.930624 | − | 0.365977i | \(-0.119265\pi\) |
0.694493 | + | 0.719500i | \(0.255629\pi\) | |||||||
\(68\) | −4.39603 | + | 4.39603i | −0.533097 | + | 0.533097i | ||||
\(69\) | −13.8026 | + | 0.250782i | −1.66163 | + | 0.0301906i | ||||
\(70\) | −1.13003 | − | 6.75768i | −0.135064 | − | 0.807697i | ||||
\(71\) | 2.34878 | − | 1.50947i | 0.278749 | − | 0.179141i | −0.393795 | − | 0.919198i | \(-0.628838\pi\) |
0.672544 | + | 0.740057i | \(0.265202\pi\) | |||||||
\(72\) | −3.16767 | − | 4.23151i | −0.373313 | − | 0.498688i | ||||
\(73\) | 12.8449 | − | 4.79092i | 1.50339 | − | 0.560735i | 0.543081 | − | 0.839681i | \(-0.317258\pi\) |
0.960307 | + | 0.278946i | \(0.0899851\pi\) | |||||||
\(74\) | −8.18274 | + | 2.40267i | −0.951224 | + | 0.279304i | ||||
\(75\) | −0.368724 | + | 14.3878i | −0.0425766 | + | 1.66136i | ||||
\(76\) | −3.87351 | + | 3.35641i | −0.444322 | + | 0.385007i | ||||
\(77\) | −2.64180 | − | 1.97763i | −0.301061 | − | 0.225372i | ||||
\(78\) | −1.88910 | − | 3.45963i | −0.213899 | − | 0.391726i | ||||
\(79\) | −0.149343 | + | 0.172351i | −0.0168024 | + | 0.0193910i | −0.764089 | − | 0.645111i | \(-0.776811\pi\) |
0.747286 | + | 0.664502i | \(0.231356\pi\) | |||||||
\(80\) | −0.882101 | + | 2.05473i | −0.0986219 | + | 0.229725i | ||||
\(81\) | −2.59304 | − | 1.66645i | −0.288116 | − | 0.185161i | ||||
\(82\) | −0.769059 | − | 10.7528i | −0.0849283 | − | 1.18745i | ||||
\(83\) | −6.43033 | + | 3.51122i | −0.705820 | + | 0.385407i | −0.791710 | − | 0.610898i | \(-0.790809\pi\) |
0.0858893 | + | 0.996305i | \(0.472627\pi\) | |||||||
\(84\) | −1.25522 | − | 8.73023i | −0.136955 | − | 0.952546i | ||||
\(85\) | 13.8397 | − | 1.30881i | 1.50113 | − | 0.141961i | ||||
\(86\) | 2.86801 | − | 1.30978i | 0.309265 | − | 0.141237i | ||||
\(87\) | −9.27586 | + | 16.9875i | −0.994476 | + | 1.82125i | ||||
\(88\) | 0.376372 | + | 1.00909i | 0.0401214 | + | 0.107570i | ||||
\(89\) | −1.55864 | + | 10.8406i | −0.165216 | + | 1.14910i | 0.723393 | + | 0.690437i | \(0.242582\pi\) |
−0.888609 | + | 0.458666i | \(0.848328\pi\) | |||||||
\(90\) | −0.573146 | + | 11.8055i | −0.0604149 | + | 1.24441i | ||||
\(91\) | − | 4.19593i | − | 0.439853i | ||||||
\(92\) | 2.37448 | + | 4.16675i | 0.247557 | + | 0.434414i | ||||
\(93\) | −7.41058 | − | 7.41058i | −0.768442 | − | 0.768442i | ||||
\(94\) | 0.812278 | + | 1.26393i | 0.0837801 | + | 0.130364i | ||||
\(95\) | 11.4577 | − | 0.262301i | 1.17554 | − | 0.0269115i | ||||
\(96\) | −1.19578 | + | 2.61838i | −0.122043 | + | 0.267238i | ||||
\(97\) | −5.50953 | − | 3.00843i | −0.559408 | − | 0.305460i | 0.174557 | − | 0.984647i | \(-0.444151\pi\) |
−0.733965 | + | 0.679187i | \(0.762332\pi\) | |||||||
\(98\) | 0.834746 | − | 2.23804i | 0.0843221 | − | 0.226076i | ||||
\(99\) | 3.72800 | + | 4.30234i | 0.374678 | + | 0.432401i | ||||
\(100\) | 4.44834 | − | 2.28303i | 0.444834 | − | 0.228303i | ||||
\(101\) | −15.2871 | − | 4.48870i | −1.52112 | − | 0.446643i | −0.588804 | − | 0.808276i | \(-0.700401\pi\) |
−0.932321 | + | 0.361633i | \(0.882219\pi\) | |||||||
\(102\) | 17.8499 | − | 1.27665i | 1.76740 | − | 0.126407i | ||||
\(103\) | 3.46771 | − | 0.754353i | 0.341683 | − | 0.0743286i | −0.0384496 | − | 0.999261i | \(-0.512242\pi\) |
0.380133 | + | 0.924932i | \(0.375878\pi\) | |||||||
\(104\) | −0.740348 | + | 1.15200i | −0.0725971 | + | 0.112963i | ||||
\(105\) | −10.2801 | + | 16.8310i | −1.00323 | + | 1.64254i | ||||
\(106\) | −1.25718 | + | 4.28155i | −0.122108 | + | 0.415861i | ||||
\(107\) | 11.2174 | − | 14.9847i | 1.08443 | − | 1.44863i | 0.201285 | − | 0.979533i | \(-0.435488\pi\) |
0.883146 | − | 0.469098i | \(-0.155421\pi\) | |||||||
\(108\) | −0.469392 | + | 6.56296i | −0.0451673 | + | 0.631521i | ||||
\(109\) | −0.832474 | − | 1.82286i | −0.0797366 | − | 0.174599i | 0.865565 | − | 0.500797i | \(-0.166960\pi\) |
−0.945301 | + | 0.326198i | \(0.894232\pi\) | |||||||
\(110\) | 0.789731 | − | 2.27507i | 0.0752979 | − | 0.216920i | ||||
\(111\) | 22.3301 | + | 10.1978i | 2.11948 | + | 0.967932i | ||||
\(112\) | −2.45293 | + | 1.83624i | −0.231780 | + | 0.173508i | ||||
\(113\) | −3.05719 | + | 14.0537i | −0.287596 | + | 1.32206i | 0.575825 | + | 0.817573i | \(0.304681\pi\) |
−0.863421 | + | 0.504484i | \(0.831683\pi\) | |||||||
\(114\) | 14.7535 | 1.38179 | ||||||||
\(115\) | 1.84749 | − | 10.5635i | 0.172279 | − | 0.985048i | ||||
\(116\) | 6.72396 | 0.624304 | ||||||||
\(117\) | −1.53862 | + | 7.07291i | −0.142245 | + | 0.653891i | ||||
\(118\) | 5.18072 | − | 3.87824i | 0.476924 | − | 0.357021i | ||||
\(119\) | 17.3278 | + | 7.91333i | 1.58843 | + | 0.725414i | ||||
\(120\) | 5.79215 | − | 2.80714i | 0.528749 | − | 0.256255i | ||||
\(121\) | 4.08771 | + | 8.95085i | 0.371610 | + | 0.813713i | ||||
\(122\) | 0.576498 | − | 8.06049i | 0.0521936 | − | 0.729763i | ||||
\(123\) | −18.5963 | + | 24.8418i | −1.67677 | + | 2.23991i | ||||
\(124\) | −1.02574 | + | 3.49335i | −0.0921141 | + | 0.313712i | ||||
\(125\) | −10.9183 | − | 2.40640i | −0.976562 | − | 0.215235i | ||||
\(126\) | −8.75632 | + | 13.6251i | −0.780075 | + | 1.21382i | ||||
\(127\) | −7.32749 | + | 1.59400i | −0.650210 | + | 0.141444i | −0.525560 | − | 0.850756i | \(-0.676144\pi\) |
−0.124649 | + | 0.992201i | \(0.539781\pi\) | |||||||
\(128\) | 0.997452 | − | 0.0713392i | 0.0881631 | − | 0.00630555i | ||||
\(129\) | −8.70812 | − | 2.55693i | −0.766707 | − | 0.225125i | ||||
\(130\) | 2.91750 | − | 0.929695i | 0.255882 | − | 0.0815396i | ||||
\(131\) | 7.13870 | + | 8.23850i | 0.623711 | + | 0.719801i | 0.976407 | − | 0.215937i | \(-0.0692806\pi\) |
−0.352696 | + | 0.935738i | \(0.614735\pi\) | |||||||
\(132\) | 1.08339 | − | 2.90468i | 0.0942970 | − | 0.252820i | ||||
\(133\) | 13.7836 | + | 7.52643i | 1.19519 | + | 0.652624i | ||||
\(134\) | −5.65515 | + | 12.3831i | −0.488531 | + | 1.06973i | ||||
\(135\) | 10.1626 | − | 10.6388i | 0.874659 | − | 0.915645i | ||||
\(136\) | −3.36112 | − | 5.23001i | −0.288214 | − | 0.448470i | ||||
\(137\) | 6.04503 | + | 6.04503i | 0.516462 | + | 0.516462i | 0.916499 | − | 0.400037i | \(-0.131003\pi\) |
−0.400037 | + | 0.916499i | \(0.631003\pi\) | |||||||
\(138\) | 2.68889 | − | 13.5404i | 0.228894 | − | 1.15264i | ||||
\(139\) | 5.24409i | 0.444798i | 0.974956 | + | 0.222399i | \(0.0713887\pi\) | ||||
−0.974956 | + | 0.222399i | \(0.928611\pi\) | |||||||
\(140\) | 6.84345 | + | 0.332243i | 0.578377 | + | 0.0280796i | ||||
\(141\) | 0.615479 | − | 4.28075i | 0.0518327 | − | 0.360504i | ||||
\(142\) | 0.975705 | + | 2.61597i | 0.0818794 | + | 0.219527i | ||||
\(143\) | 0.706811 | − | 1.29443i | 0.0591065 | − | 0.108245i | ||||
\(144\) | 4.80814 | − | 2.19580i | 0.400678 | − | 0.182984i | ||||
\(145\) | −11.5852 | − | 9.58335i | −0.962102 | − | 0.795854i | ||||
\(146\) | 1.95104 | + | 13.5698i | 0.161469 | + | 1.12304i | ||||
\(147\) | −6.03469 | + | 3.29519i | −0.497733 | + | 0.271783i | ||||
\(148\) | −0.608394 | − | 8.50646i | −0.0500097 | − | 0.699227i | ||||
\(149\) | −3.20237 | − | 2.05804i | −0.262348 | − | 0.168601i | 0.402854 | − | 0.915264i | \(-0.368018\pi\) |
−0.665202 | + | 0.746663i | \(0.731655\pi\) | |||||||
\(150\) | −13.9806 | − | 3.41865i | −1.14151 | − | 0.279131i | ||||
\(151\) | 10.1970 | − | 11.7680i | 0.829824 | − | 0.957668i | −0.169789 | − | 0.985480i | \(-0.554309\pi\) |
0.999613 | + | 0.0278127i | \(0.00885420\pi\) | |||||||
\(152\) | −2.45633 | − | 4.49844i | −0.199235 | − | 0.364872i | ||||
\(153\) | −26.3070 | − | 19.6932i | −2.12679 | − | 1.59210i | ||||
\(154\) | 2.49399 | − | 2.16105i | 0.200971 | − | 0.174143i | ||||
\(155\) | 6.74623 | − | 4.55702i | 0.541870 | − | 0.366029i | ||||
\(156\) | 3.78213 | − | 1.11053i | 0.302813 | − | 0.0889138i | ||||
\(157\) | 10.5917 | − | 3.95050i | 0.845310 | − | 0.315284i | 0.110767 | − | 0.993846i | \(-0.464669\pi\) |
0.734543 | + | 0.678562i | \(0.237397\pi\) | |||||||
\(158\) | −0.136667 | − | 0.182566i | −0.0108726 | − | 0.0145242i | ||||
\(159\) | 10.8057 | − | 6.94442i | 0.856949 | − | 0.550728i | ||||
\(160\) | −1.82026 | − | 1.29871i | −0.143905 | − | 0.102672i | ||||
\(161\) | 9.41975 | − | 11.2786i | 0.742380 | − | 0.888879i | ||||
\(162\) | 2.17955 | − | 2.17955i | 0.171242 | − | 0.171242i | ||||
\(163\) | 7.39420 | + | 1.60851i | 0.579158 | + | 0.125988i | 0.492596 | − | 0.870258i | \(-0.336048\pi\) |
0.0865624 | + | 0.996246i | \(0.472412\pi\) | |||||||
\(164\) | 10.6706 | + | 1.53420i | 0.833232 | + | 0.119801i | ||||
\(165\) | −6.00657 | + | 3.46060i | −0.467610 | + | 0.269407i | ||||
\(166\) | −2.06412 | − | 7.02974i | −0.160207 | − | 0.545614i | ||||
\(167\) | −0.947008 | − | 0.353216i | −0.0732817 | − | 0.0273327i | 0.312556 | − | 0.949899i | \(-0.398815\pi\) |
−0.385838 | + | 0.922567i | \(0.626088\pi\) | |||||||
\(168\) | 8.79753 | + | 0.629212i | 0.678745 | + | 0.0485448i | ||||
\(169\) | −11.0115 | + | 1.58322i | −0.847041 | + | 0.121786i | ||||
\(170\) | −1.66294 | + | 13.8016i | −0.127542 | + | 1.05854i | ||||
\(171\) | −20.4746 | − | 17.7414i | −1.56573 | − | 1.35671i | ||||
\(172\) | 0.670204 | + | 3.08088i | 0.0511026 | + | 0.234915i | ||||
\(173\) | −2.55195 | − | 11.7311i | −0.194021 | − | 0.891900i | −0.966461 | − | 0.256812i | \(-0.917328\pi\) |
0.772440 | − | 0.635087i | \(-0.219036\pi\) | |||||||
\(174\) | −14.6275 | − | 12.6748i | −1.10891 | − | 0.960876i | ||||
\(175\) | −11.3176 | − | 10.3261i | −0.855529 | − | 0.780579i | ||||
\(176\) | −1.06604 | + | 0.153273i | −0.0803555 | + | 0.0115534i | ||||
\(177\) | −18.5809 | − | 1.32893i | −1.39662 | − | 0.0998886i | ||||
\(178\) | −10.2616 | − | 3.82736i | −0.769136 | − | 0.286873i | ||||
\(179\) | −3.36380 | − | 11.4560i | −0.251422 | − | 0.856265i | −0.984390 | − | 0.176001i | \(-0.943684\pi\) |
0.732968 | − | 0.680263i | \(-0.238135\pi\) | |||||||
\(180\) | −11.4139 | − | 3.06949i | −0.850742 | − | 0.228786i | ||||
\(181\) | 18.7808 | + | 2.70027i | 1.39596 | + | 0.200709i | 0.798890 | − | 0.601477i | \(-0.205421\pi\) |
0.597074 | + | 0.802186i | \(0.296330\pi\) | |||||||
\(182\) | 4.10004 | + | 0.891909i | 0.303915 | + | 0.0661127i | ||||
\(183\) | −16.4483 | + | 16.4483i | −1.21590 | + | 1.21590i | ||||
\(184\) | −4.57626 | + | 1.43451i | −0.337367 | + | 0.105754i | ||||
\(185\) | −11.0756 | + | 15.5236i | −0.814295 | + | 1.14131i | ||||
\(186\) | 8.81646 | − | 5.66599i | 0.646454 | − | 0.415451i | ||||
\(187\) | 4.01253 | + | 5.36012i | 0.293426 | + | 0.391971i | ||||
\(188\) | −1.40771 | + | 0.525047i | −0.102668 | + | 0.0382930i | ||||
\(189\) | 19.3442 | − | 5.67997i | 1.40708 | − | 0.413157i | ||||
\(190\) | −2.17920 | + | 11.2516i | −0.158096 | + | 0.816278i | ||||
\(191\) | 5.44055 | − | 4.71426i | 0.393664 | − | 0.341112i | −0.435428 | − | 0.900223i | \(-0.643403\pi\) |
0.829093 | + | 0.559111i | \(0.188858\pi\) | |||||||
\(192\) | −2.30436 | − | 1.72503i | −0.166303 | − | 0.124493i | ||||
\(193\) | 1.65748 | + | 3.03545i | 0.119308 | + | 0.218497i | 0.930507 | − | 0.366273i | \(-0.119367\pi\) |
−0.811199 | + | 0.584770i | \(0.801185\pi\) | |||||||
\(194\) | 4.11081 | − | 4.74413i | 0.295139 | − | 0.340609i | ||||
\(195\) | −8.09931 | − | 3.47706i | −0.580004 | − | 0.248998i | ||||
\(196\) | 2.00946 | + | 1.29140i | 0.143533 | + | 0.0922428i | ||||
\(197\) | 1.78697 | + | 24.9850i | 0.127316 | + | 1.78011i | 0.513894 | + | 0.857854i | \(0.328202\pi\) |
−0.386578 | + | 0.922257i | \(0.626343\pi\) | |||||||
\(198\) | −4.99646 | + | 2.72827i | −0.355083 | + | 0.193890i | ||||
\(199\) | 2.66992 | + | 18.5697i | 0.189266 | + | 1.31637i | 0.833915 | + | 0.551892i | \(0.186094\pi\) |
−0.644650 | + | 0.764478i | \(0.722997\pi\) | |||||||
\(200\) | 1.28529 | + | 4.83198i | 0.0908840 | + | 0.341673i | ||||
\(201\) | 35.6447 | − | 16.2784i | 2.51419 | − | 1.14819i | ||||
\(202\) | 7.63563 | − | 13.9836i | 0.537241 | − | 0.983884i | ||||
\(203\) | −7.19995 | − | 19.3038i | −0.505337 | − | 1.35486i | ||||
\(204\) | −2.54679 | + | 17.7133i | −0.178311 | + | 1.24018i | ||||
\(205\) | −16.1986 | − | 17.8517i | −1.13136 | − | 1.24681i | ||||
\(206\) | 3.54881i | 0.247257i | ||||||||
\(207\) | −20.0143 | + | 15.5578i | −1.39109 | + | 1.08134i | ||||
\(208\) | −0.968304 | − | 0.968304i | −0.0671398 | − | 0.0671398i | ||||
\(209\) | 2.98435 | + | 4.64374i | 0.206432 | + | 0.321214i | ||||
\(210\) | −14.2612 | − | 13.6228i | −0.984115 | − | 0.940065i | ||||
\(211\) | −6.07886 | + | 13.3108i | −0.418486 | + | 0.916356i | 0.576571 | + | 0.817047i | \(0.304391\pi\) |
−0.995057 | + | 0.0993091i | \(0.968337\pi\) | |||||||
\(212\) | −3.91647 | − | 2.13856i | −0.268984 | − | 0.146877i | ||||
\(213\) | 2.80858 | − | 7.53008i | 0.192440 | − | 0.515953i | ||||
\(214\) | 12.2579 | + | 14.1463i | 0.837930 | + | 0.967023i | ||||
\(215\) | 3.23628 | − | 6.26350i | 0.220713 | − | 0.427167i | ||||
\(216\) | −6.31320 | − | 1.85372i | −0.429559 | − | 0.126130i | ||||
\(217\) | 11.1274 | − | 0.795847i | 0.755377 | − | 0.0540256i | ||||
\(218\) | 1.95816 | − | 0.425972i | 0.132623 | − | 0.0288505i | ||||
\(219\) | 21.3350 | − | 33.1979i | 1.44168 | − | 2.24331i | ||||
\(220\) | 2.05521 | + | 1.25528i | 0.138562 | + | 0.0846313i | ||||
\(221\) | −2.39850 | + | 8.16854i | −0.161341 | + | 0.549475i | ||||
\(222\) | −14.7113 | + | 19.6521i | −0.987361 | + | 1.31896i | ||||
\(223\) | 0.556927 | − | 7.78686i | 0.0372946 | − | 0.521447i | −0.944127 | − | 0.329582i | \(-0.893092\pi\) |
0.981421 | − | 0.191864i | \(-0.0614534\pi\) | |||||||
\(224\) | −1.27287 | − | 2.78719i | −0.0850471 | − | 0.186227i | ||||
\(225\) | 15.2911 | + | 21.5564i | 1.01941 | + | 1.43709i | ||||
\(226\) | −13.0826 | − | 5.97464i | −0.870244 | − | 0.397427i | ||||
\(227\) | −2.38636 | + | 1.78641i | −0.158388 | + | 0.118568i | −0.675532 | − | 0.737330i | \(-0.736086\pi\) |
0.517144 | + | 0.855898i | \(0.326995\pi\) | |||||||
\(228\) | −3.13607 | + | 14.4163i | −0.207691 | + | 0.954742i | ||||
\(229\) | 8.72074 | 0.576283 | 0.288141 | − | 0.957588i | \(-0.406963\pi\) | ||||
0.288141 | + | 0.957588i | \(0.406963\pi\) | |||||||
\(230\) | 9.92934 | + | 4.05070i | 0.654722 | + | 0.267095i | ||||
\(231\) | −9.49913 | −0.624997 | ||||||||
\(232\) | −1.42928 | + | 6.57030i | −0.0938369 | + | 0.431361i | ||||
\(233\) | 2.15447 | − | 1.61281i | 0.141144 | − | 0.105659i | −0.526373 | − | 0.850254i | \(-0.676448\pi\) |
0.667516 | + | 0.744595i | \(0.267357\pi\) | |||||||
\(234\) | −6.58422 | − | 3.00691i | −0.430424 | − | 0.196568i | ||||
\(235\) | 3.17377 | + | 1.10169i | 0.207034 | + | 0.0718665i | ||||
\(236\) | 2.68837 | + | 5.88671i | 0.174998 | + | 0.383192i | ||||
\(237\) | −0.0468308 | + | 0.654780i | −0.00304199 | + | 0.0425325i | ||||
\(238\) | −11.4158 | + | 15.2497i | −0.739975 | + | 0.988490i | ||||
\(239\) | 5.27623 | − | 17.9692i | 0.341291 | − | 1.16233i | −0.592817 | − | 0.805337i | \(-0.701984\pi\) |
0.934107 | − | 0.356992i | \(-0.116198\pi\) | |||||||
\(240\) | 1.51177 | + | 6.25648i | 0.0975845 | + | 0.403854i | ||||
\(241\) | −2.91764 | + | 4.53993i | −0.187941 | + | 0.292443i | −0.922419 | − | 0.386190i | \(-0.873791\pi\) |
0.734478 | + | 0.678633i | \(0.237427\pi\) | |||||||
\(242\) | −9.61520 | + | 2.09166i | −0.618088 | + | 0.134457i | ||||
\(243\) | 10.8389 | − | 0.775213i | 0.695316 | − | 0.0497300i | ||||
\(244\) | 7.75374 | + | 2.27670i | 0.496382 | + | 0.145751i | ||||
\(245\) | −1.62168 | − | 5.08904i | −0.103605 | − | 0.325127i | ||||
\(246\) | −20.3211 | − | 23.4518i | −1.29563 | − | 1.49523i | ||||
\(247\) | −2.45276 | + | 6.57612i | −0.156066 | + | 0.418428i | ||||
\(248\) | −3.19548 | − | 1.74486i | −0.202913 | − | 0.110799i | ||||
\(249\) | −8.76087 | + | 19.1836i | −0.555197 | + | 1.21571i | ||||
\(250\) | 4.67226 | − | 10.1573i | 0.295500 | − | 0.642402i | ||||
\(251\) | −6.45704 | − | 10.0473i | −0.407564 | − | 0.634183i | 0.575423 | − | 0.817856i | \(-0.304838\pi\) |
−0.982987 | + | 0.183673i | \(0.941201\pi\) | |||||||
\(252\) | −11.4524 | − | 11.4524i | −0.721436 | − | 0.721436i | ||||
\(253\) | 4.80585 | − | 1.89263i | 0.302141 | − | 0.118989i | ||||
\(254\) | − | 7.49886i | − | 0.470521i | ||||||
\(255\) | 29.6340 | − | 26.8899i | 1.85575 | − | 1.68391i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −5.43620 | − | 14.5750i | −0.339101 | − | 0.909164i | −0.988837 | − | 0.149004i | \(-0.952393\pi\) |
0.649736 | − | 0.760160i | \(-0.274879\pi\) | |||||||
\(258\) | 4.34954 | − | 7.96559i | 0.270791 | − | 0.495916i | ||||
\(259\) | −23.7697 | + | 10.8553i | −1.47698 | + | 0.674513i | ||||
\(260\) | 0.288289 | + | 3.04845i | 0.0178789 | + | 0.189057i | ||||
\(261\) | 5.05810 | + | 35.1798i | 0.313088 | + | 2.17758i | ||||
\(262\) | −9.56766 | + | 5.22434i | −0.591092 | + | 0.322761i | ||||
\(263\) | 0.848075 | + | 11.8576i | 0.0522945 | + | 0.731173i | 0.954187 | + | 0.299212i | \(0.0967237\pi\) |
−0.901892 | + | 0.431961i | \(0.857822\pi\) | |||||||
\(264\) | 2.60801 | + | 1.67607i | 0.160512 | + | 0.103155i | ||||
\(265\) | 3.70002 | + | 9.26665i | 0.227290 | + | 0.569246i | ||||
\(266\) | −10.2843 | + | 11.8688i | −0.630574 | + | 0.727721i | ||||
\(267\) | 15.1086 | + | 27.6694i | 0.924634 | + | 1.69334i | ||||
\(268\) | −10.8980 | − | 8.15812i | −0.665700 | − | 0.498337i | ||||
\(269\) | 1.04648 | − | 0.906781i | 0.0638051 | − | 0.0552874i | −0.622374 | − | 0.782720i | \(-0.713832\pi\) |
0.686180 | + | 0.727432i | \(0.259286\pi\) | |||||||
\(270\) | 8.23548 | + | 12.1918i | 0.501195 | + | 0.741971i | ||||
\(271\) | −14.0821 | + | 4.13489i | −0.855429 | + | 0.251177i | −0.679906 | − | 0.733299i | \(-0.737980\pi\) |
−0.175522 | + | 0.984475i | \(0.556161\pi\) | |||||||
\(272\) | 5.82495 | − | 2.17259i | 0.353189 | − | 0.131733i | ||||
\(273\) | −7.23809 | − | 9.66896i | −0.438069 | − | 0.585192i | ||||
\(274\) | −7.19185 | + | 4.62192i | −0.434476 | + | 0.279221i | ||||
\(275\) | −1.75198 | − | 5.09202i | −0.105649 | − | 0.307060i | ||||
\(276\) | 12.6594 | + | 5.50567i | 0.762008 | + | 0.331403i | ||||
\(277\) | 7.05036 | − | 7.05036i | 0.423615 | − | 0.423615i | −0.462831 | − | 0.886446i | \(-0.653166\pi\) |
0.886446 | + | 0.462831i | \(0.153166\pi\) | |||||||
\(278\) | −5.12424 | − | 1.11471i | −0.307332 | − | 0.0668559i | ||||
\(279\) | −19.0488 | − | 2.73881i | −1.14042 | − | 0.163968i | ||||
\(280\) | −1.77933 | + | 6.61643i | −0.106335 | + | 0.395408i | ||||
\(281\) | 6.84721 | + | 23.3195i | 0.408471 | + | 1.39112i | 0.865160 | + | 0.501497i | \(0.167217\pi\) |
−0.456689 | + | 0.889626i | \(0.650965\pi\) | |||||||
\(282\) | 4.05209 | + | 1.51135i | 0.241299 | + | 0.0899998i | ||||
\(283\) | 14.4573 | + | 1.03401i | 0.859399 | + | 0.0614654i | 0.494080 | − | 0.869417i | \(-0.335505\pi\) |
0.365320 | + | 0.930882i | \(0.380960\pi\) | |||||||
\(284\) | −2.76359 | + | 0.397344i | −0.163989 | + | 0.0235780i | ||||
\(285\) | 25.9502 | − | 20.3693i | 1.53716 | − | 1.20657i | ||||
\(286\) | 1.11460 | + | 0.965808i | 0.0659078 | + | 0.0571094i | ||||
\(287\) | −7.02142 | − | 32.2770i | −0.414461 | − | 1.90525i | ||||
\(288\) | 1.12358 | + | 5.16501i | 0.0662076 | + | 0.304351i | ||||
\(289\) | −16.3621 | − | 14.1778i | −0.962477 | − | 0.833991i | ||||
\(290\) | 11.8270 | − | 9.28340i | 0.694503 | − | 0.545140i | ||||
\(291\) | −17.8856 | + | 2.57156i | −1.04847 | + | 0.150747i | ||||
\(292\) | −13.6744 | − | 0.978012i | −0.800233 | − | 0.0572338i | ||||
\(293\) | −7.67591 | − | 2.86297i | −0.448431 | − | 0.167256i | 0.115095 | − | 0.993355i | \(-0.463283\pi\) |
−0.563526 | + | 0.826098i | \(0.690556\pi\) | |||||||
\(294\) | −1.93712 | − | 6.59722i | −0.112975 | − | 0.384758i | ||||
\(295\) | 3.75804 | − | 13.9743i | 0.218802 | − | 0.813614i | ||||
\(296\) | 8.44138 | + | 1.21369i | 0.490645 | + | 0.0705442i | ||||
\(297\) | 6.92440 | + | 1.50631i | 0.401795 | + | 0.0874050i | ||||
\(298\) | 2.69172 | − | 2.69172i | 0.155927 | − | 0.155927i | ||||
\(299\) | 5.58840 | + | 3.44963i | 0.323186 | + | 0.199497i | ||||
\(300\) | 6.31232 | − | 12.9344i | 0.364442 | − | 0.746771i | ||||
\(301\) | 8.12724 | − | 5.22306i | 0.468447 | − | 0.301052i | ||||
\(302\) | 9.33154 | + | 12.4655i | 0.536970 | + | 0.717308i | ||||
\(303\) | −42.9702 | + | 16.0271i | −2.46857 | + | 0.920731i | ||||
\(304\) | 4.91777 | − | 1.44399i | 0.282053 | − | 0.0828183i | ||||
\(305\) | −10.1146 | − | 14.9737i | −0.579163 | − | 0.857394i | ||||
\(306\) | 24.8351 | − | 21.5197i | 1.41973 | − | 1.23020i | ||||
\(307\) | 11.0762 | + | 8.29152i | 0.632151 | + | 0.473222i | 0.866665 | − | 0.498890i | \(-0.166259\pi\) |
−0.234514 | + | 0.972113i | \(0.575350\pi\) | |||||||
\(308\) | 1.58153 | + | 2.89636i | 0.0901161 | + | 0.165035i | ||||
\(309\) | 6.68958 | − | 7.72019i | 0.380557 | − | 0.439186i | ||||
\(310\) | 3.01887 | + | 7.56072i | 0.171460 | + | 0.429420i | ||||
\(311\) | −15.3220 | − | 9.84685i | −0.868830 | − | 0.558363i | 0.0285643 | − | 0.999592i | \(-0.490906\pi\) |
−0.897395 | + | 0.441229i | \(0.854543\pi\) | |||||||
\(312\) | 0.281205 | + | 3.93175i | 0.0159201 | + | 0.222592i | ||||
\(313\) | −15.1993 | + | 8.29943i | −0.859114 | + | 0.469112i | −0.847484 | − | 0.530821i | \(-0.821884\pi\) |
−0.0116296 | + | 0.999932i | \(0.503702\pi\) | |||||||
\(314\) | 1.60879 | + | 11.1894i | 0.0907893 | + | 0.631454i | ||||
\(315\) | 3.40969 | + | 36.0549i | 0.192114 | + | 2.03146i | ||||
\(316\) | 0.207444 | − | 0.0947366i | 0.0116697 | − | 0.00532935i | ||||
\(317\) | 15.3875 | − | 28.1801i | 0.864247 | − | 1.58275i | 0.0525900 | − | 0.998616i | \(-0.483252\pi\) |
0.811657 | − | 0.584134i | \(-0.198566\pi\) | |||||||
\(318\) | 4.48879 | + | 12.0349i | 0.251719 | + | 0.674885i | ||||
\(319\) | 1.03060 | − | 7.16799i | 0.0577026 | − | 0.401330i | ||||
\(320\) | 1.65595 | − | 1.50261i | 0.0925705 | − | 0.0839983i | ||||
\(321\) | − | 53.8807i | − | 3.00733i | ||||||
\(322\) | 9.01855 | + | 11.6019i | 0.502584 | + | 0.646550i | ||||
\(323\) | −22.5313 | − | 22.5313i | −1.25368 | − | 1.25368i | ||||
\(324\) | 1.66645 | + | 2.59304i | 0.0925803 | + | 0.144058i | ||||
\(325\) | 3.84809 | − | 5.66329i | 0.213454 | − | 0.314143i | ||||
\(326\) | −3.14350 | + | 6.88330i | −0.174102 | + | 0.381231i | ||||
\(327\) | −5.06281 | − | 2.76450i | −0.279974 | − | 0.152877i | ||||
\(328\) | −3.76733 | + | 10.1006i | −0.208016 | + | 0.557713i | ||||
\(329\) | 3.01471 | + | 3.47917i | 0.166207 | + | 0.191813i | ||||
\(330\) | −2.10473 | − | 6.60490i | −0.115861 | − | 0.363588i | ||||
\(331\) | −8.18471 | − | 2.40325i | −0.449872 | − | 0.132094i | 0.0489451 | − | 0.998801i | \(-0.484414\pi\) |
−0.498818 | + | 0.866707i | \(0.666232\pi\) | |||||||
\(332\) | 7.30785 | − | 0.522668i | 0.401070 | − | 0.0286851i | ||||
\(333\) | 44.0482 | − | 9.58210i | 2.41383 | − | 0.525096i | ||||
\(334\) | 0.546445 | − | 0.850285i | 0.0299001 | − | 0.0465255i | ||||
\(335\) | 7.14959 | + | 29.5886i | 0.390624 | + | 1.61660i | ||||
\(336\) | −2.48488 | + | 8.46273i | −0.135561 | + | 0.461680i | ||||
\(337\) | −17.7521 | + | 23.7140i | −0.967017 | + | 1.29178i | −0.0105500 | + | 0.999944i | \(0.503358\pi\) |
−0.956467 | + | 0.291840i | \(0.905733\pi\) | |||||||
\(338\) | 0.793632 | − | 11.0964i | 0.0431679 | − | 0.603566i | ||||
\(339\) | 17.1980 | + | 37.6585i | 0.934070 | + | 2.04533i | ||||
\(340\) | −13.1328 | − | 4.55869i | −0.712224 | − | 0.247230i | ||||
\(341\) | 3.56681 | + | 1.62891i | 0.193154 | + | 0.0882104i | ||||
\(342\) | 21.6881 | − | 16.2355i | 1.17276 | − | 0.877916i | ||||
\(343\) | −3.00346 | + | 13.8067i | −0.162172 | + | 0.745492i | ||||
\(344\) | −3.15293 | −0.169995 | ||||||||
\(345\) | −13.9650 | − | 27.5290i | −0.751848 | − | 1.48211i | ||||
\(346\) | 12.0055 | 0.645418 | ||||||||
\(347\) | −1.76513 | + | 8.11418i | −0.0947572 | + | 0.435592i | 0.905187 | + | 0.425014i | \(0.139731\pi\) |
−0.999944 | + | 0.0105780i | \(0.996633\pi\) | |||||||
\(348\) | 15.4945 | − | 11.5990i | 0.830590 | − | 0.621772i | ||||
\(349\) | 8.32569 | + | 3.80221i | 0.445664 | + | 0.203528i | 0.625590 | − | 0.780152i | \(-0.284858\pi\) |
−0.179926 | + | 0.983680i | \(0.557586\pi\) | |||||||
\(350\) | 12.4958 | − | 8.86398i | 0.667931 | − | 0.473800i | ||||
\(351\) | 3.74297 | + | 8.19597i | 0.199785 | + | 0.437468i | ||||
\(352\) | 0.0768322 | − | 1.07425i | 0.00409517 | − | 0.0572579i | ||||
\(353\) | −5.22242 | + | 6.97633i | −0.277961 | + | 0.371313i | −0.917696 | − | 0.397283i | \(-0.869953\pi\) |
0.639735 | + | 0.768596i | \(0.279044\pi\) | |||||||
\(354\) | 5.24821 | − | 17.8738i | 0.278939 | − | 0.949980i | ||||
\(355\) | 5.32791 | + | 3.25419i | 0.282776 | + | 0.172715i | ||||
\(356\) | 5.92115 | − | 9.21348i | 0.313820 | − | 0.488314i | ||||
\(357\) | 53.5802 | − | 11.6557i | 2.83577 | − | 0.616883i | ||||
\(358\) | 11.9093 | − | 0.851767i | 0.629424 | − | 0.0450173i | ||||
\(359\) | 5.27713 | + | 1.54951i | 0.278516 | + | 0.0817798i | 0.418008 | − | 0.908444i | \(-0.362729\pi\) |
−0.139491 | + | 0.990223i | \(0.544547\pi\) | |||||||
\(360\) | 5.42554 | − | 10.5006i | 0.285951 | − | 0.553430i | ||||
\(361\) | −4.76054 | − | 5.49395i | −0.250555 | − | 0.289155i | ||||
\(362\) | −6.63070 | + | 17.7776i | −0.348502 | + | 0.934370i | ||||
\(363\) | 24.8600 | + | 13.5746i | 1.30481 | + | 0.712482i | ||||
\(364\) | −1.74305 | + | 3.81675i | −0.0913608 | + | 0.200052i | ||||
\(365\) | 22.1668 | + | 21.1746i | 1.16026 | + | 1.10833i | ||||
\(366\) | −12.5761 | − | 19.5688i | −0.657363 | − | 1.02288i | ||||
\(367\) | −9.54962 | − | 9.54962i | −0.498486 | − | 0.498486i | 0.412480 | − | 0.910966i | \(-0.364663\pi\) |
−0.910966 | + | 0.412480i | \(0.864663\pi\) | |||||||
\(368\) | −0.428975 | − | 4.77661i | −0.0223618 | − | 0.248998i | ||||
\(369\) | 56.9827i | 2.96640i | ||||||||
\(370\) | −12.8145 | − | 14.1223i | −0.666195 | − | 0.734181i | ||||
\(371\) | −1.94586 | + | 13.5337i | −0.101024 | + | 0.702637i | ||||
\(372\) | 3.66244 | + | 9.81937i | 0.189888 | + | 0.509111i | ||||
\(373\) | −13.7148 | + | 25.1169i | −0.710128 | + | 1.30050i | 0.234422 | + | 0.972135i | \(0.424680\pi\) |
−0.944550 | + | 0.328367i | \(0.893502\pi\) | |||||||
\(374\) | −6.09055 | + | 2.78146i | −0.314935 | + | 0.143826i | ||||
\(375\) | −29.3108 | + | 13.2891i | −1.51361 | + | 0.686247i | ||||
\(376\) | −0.213819 | − | 1.48714i | −0.0110269 | − | 0.0766935i | ||||
\(377\) | 8.08143 | − | 4.41279i | 0.416215 | − | 0.227270i | ||||
\(378\) | 1.43826 | + | 20.1095i | 0.0739761 | + | 1.03432i | ||||
\(379\) | −12.1453 | − | 7.80529i | −0.623860 | − | 0.400931i | 0.190172 | − | 0.981751i | \(-0.439096\pi\) |
−0.814032 | + | 0.580820i | \(0.802732\pi\) | |||||||
\(380\) | −10.5313 | − | 4.52110i | −0.540242 | − | 0.231928i | ||||
\(381\) | −14.1355 | + | 16.3133i | −0.724185 | + | 0.835754i | ||||
\(382\) | 3.45005 | + | 6.31830i | 0.176520 | + | 0.323273i | ||||
\(383\) | 7.55911 | + | 5.65868i | 0.386253 | + | 0.289145i | 0.774704 | − | 0.632324i | \(-0.217899\pi\) |
−0.388451 | + | 0.921469i | \(0.626990\pi\) | |||||||
\(384\) | 2.17543 | − | 1.88502i | 0.111015 | − | 0.0961946i | ||||
\(385\) | 1.40310 | − | 7.24444i | 0.0715085 | − | 0.369211i | ||||
\(386\) | −3.31841 | + | 0.974372i | −0.168902 | + | 0.0495942i | ||||
\(387\) | −15.6150 | + | 5.82410i | −0.793756 | + | 0.296056i | ||||
\(388\) | 3.76190 | + | 5.02531i | 0.190981 | + | 0.255121i | ||||
\(389\) | 8.36594 | − | 5.37646i | 0.424170 | − | 0.272597i | −0.311093 | − | 0.950379i | \(-0.600695\pi\) |
0.735263 | + | 0.677782i | \(0.237059\pi\) | |||||||
\(390\) | 5.11923 | − | 7.17512i | 0.259223 | − | 0.363326i | ||||
\(391\) | −24.7853 | + | 16.5724i | −1.25345 | + | 0.838101i | ||||
\(392\) | −1.68903 | + | 1.68903i | −0.0853088 | + | 0.0853088i | ||||
\(393\) | 30.6618 | + | 6.67006i | 1.54668 | + | 0.336460i | ||||
\(394\) | −24.7939 | − | 3.56482i | −1.24910 | − | 0.179593i | ||||
\(395\) | −0.492446 | − | 0.132431i | −0.0247776 | − | 0.00666335i | ||||
\(396\) | −1.60385 | − | 5.46221i | −0.0805964 | − | 0.274486i | ||||
\(397\) | −1.93599 | − | 0.722087i | −0.0971645 | − | 0.0362405i | 0.300412 | − | 0.953810i | \(-0.402876\pi\) |
−0.397576 | + | 0.917569i | \(0.630149\pi\) | |||||||
\(398\) | −18.7128 | − | 1.33837i | −0.937990 | − | 0.0670864i | ||||
\(399\) | 44.7458 | − | 6.43347i | 2.24009 | − | 0.322076i | ||||
\(400\) | −4.99476 | + | 0.228810i | −0.249738 | + | 0.0114405i | ||||
\(401\) | −12.3005 | − | 10.6584i | −0.614258 | − | 0.532257i | 0.291217 | − | 0.956657i | \(-0.405940\pi\) |
−0.905475 | + | 0.424400i | \(0.860485\pi\) | |||||||
\(402\) | 8.32956 | + | 38.2904i | 0.415441 | + | 1.90975i | ||||
\(403\) | 1.05979 | + | 4.87177i | 0.0527918 | + | 0.242680i | ||||
\(404\) | 12.0410 | + | 10.4336i | 0.599061 | + | 0.519089i | ||||
\(405\) | 0.824487 | − | 6.84286i | 0.0409691 | − | 0.340024i | ||||
\(406\) | 20.3931 | − | 2.93209i | 1.01209 | − | 0.145517i | ||||
\(407\) | −9.16144 | − | 0.655239i | −0.454116 | − | 0.0324790i | ||||
\(408\) | −16.7672 | − | 6.25383i | −0.830098 | − | 0.309611i | ||||
\(409\) | −10.1345 | − | 34.5149i | −0.501118 | − | 1.70665i | −0.689263 | − | 0.724511i | \(-0.742065\pi\) |
0.188144 | − | 0.982141i | \(-0.439753\pi\) | |||||||
\(410\) | 20.8870 | − | 12.0337i | 1.03153 | − | 0.594304i | ||||
\(411\) | 24.3578 | + | 3.50212i | 1.20148 | + | 0.172747i | ||||
\(412\) | −3.46771 | − | 0.754353i | −0.170842 | − | 0.0371643i | ||||
\(413\) | 14.0215 | − | 14.0215i | 0.689951 | − | 0.689951i | ||||
\(414\) | −10.9479 | − | 22.8639i | −0.538058 | − | 1.12370i | ||||
\(415\) | −13.3362 | − | 9.51498i | −0.654648 | − | 0.467072i | ||||
\(416\) | 1.15200 | − | 0.740348i | 0.0564816 | − | 0.0362985i | ||||
\(417\) | 9.04619 | + | 12.0843i | 0.442994 | + | 0.591770i | ||||
\(418\) | −5.17199 | + | 1.92905i | −0.252970 | + | 0.0943530i | ||||
\(419\) | 10.9198 | − | 3.20635i | 0.533468 | − | 0.156640i | −0.00389331 | − | 0.999992i | \(-0.501239\pi\) |
0.537361 | + | 0.843352i | \(0.319421\pi\) | |||||||
\(420\) | 16.3429 | − | 11.0395i | 0.797454 | − | 0.538674i | ||||
\(421\) | −8.49226 | + | 7.35859i | −0.413888 | + | 0.358636i | −0.836775 | − | 0.547546i | \(-0.815562\pi\) |
0.422888 | + | 0.906182i | \(0.361016\pi\) | |||||||
\(422\) | −11.7145 | − | 8.76936i | −0.570253 | − | 0.426886i | ||||
\(423\) | −3.80600 | − | 6.97016i | −0.185054 | − | 0.338901i | ||||
\(424\) | 2.92219 | − | 3.37239i | 0.141914 | − | 0.163778i | ||||
\(425\) | 16.1302 | + | 26.5720i | 0.782428 | + | 1.28893i | ||||
\(426\) | 6.76099 | + | 4.34503i | 0.327571 | + | 0.210517i | ||||
\(427\) | −1.76644 | − | 24.6981i | −0.0854840 | − | 1.19522i | ||||
\(428\) | −16.4286 | + | 8.97071i | −0.794108 | + | 0.433616i | ||||
\(429\) | −0.604170 | − | 4.20210i | −0.0291696 | − | 0.202879i | ||||
\(430\) | 5.43244 | + | 4.49373i | 0.261975 | + | 0.216707i | ||||
\(431\) | −11.9527 | + | 5.45860i | −0.575740 | + | 0.262932i | −0.681934 | − | 0.731414i | \(-0.738861\pi\) |
0.106194 | + | 0.994345i | \(0.466134\pi\) | |||||||
\(432\) | 3.15332 | − | 5.77488i | 0.151714 | − | 0.277844i | ||||
\(433\) | −3.69854 | − | 9.91616i | −0.177740 | − | 0.476540i | 0.817277 | − | 0.576245i | \(-0.195483\pi\) |
−0.995017 | + | 0.0997051i | \(0.968210\pi\) | |||||||
\(434\) | −1.58764 | + | 11.0423i | −0.0762091 | + | 0.530046i | ||||
\(435\) | −43.2282 | − | 2.09868i | −2.07263 | − | 0.100624i | ||||
\(436\) | 2.00396i | 0.0959722i | ||||||||
\(437\) | −21.3562 | + | 12.1701i | −1.02161 | + | 0.582177i | ||||
\(438\) | 27.9041 | + | 27.9041i | 1.33331 | + | 1.33331i | ||||
\(439\) | −9.78974 | − | 15.2331i | −0.467239 | − | 0.727038i | 0.525038 | − | 0.851079i | \(-0.324051\pi\) |
−0.992277 | + | 0.124041i | \(0.960415\pi\) | |||||||
\(440\) | −1.66346 | + | 1.74141i | −0.0793025 | + | 0.0830185i | ||||
\(441\) | −5.24500 | + | 11.4849i | −0.249762 | + | 0.546902i | ||||
\(442\) | −7.47203 | − | 4.08003i | −0.355408 | − | 0.194067i | ||||
\(443\) | −11.0971 | + | 29.7524i | −0.527237 | + | 1.41358i | 0.351462 | + | 0.936202i | \(0.385685\pi\) |
−0.878699 | + | 0.477376i | \(0.841588\pi\) | |||||||
\(444\) | −16.0758 | − | 18.5525i | −0.762925 | − | 0.880462i | ||||
\(445\) | −23.3335 | + | 7.43550i | −1.10612 | + | 0.352477i | ||||
\(446\) | 7.49052 | + | 2.19942i | 0.354687 | + | 0.104145i | ||||
\(447\) | −10.9296 | + | 0.781700i | −0.516952 | + | 0.0369731i | ||||
\(448\) | 2.99407 | − | 0.651319i | 0.141456 | − | 0.0307719i | ||||
\(449\) | −18.4580 | + | 28.7212i | −0.871086 | + | 1.35544i | 0.0628595 | + | 0.998022i | \(0.479978\pi\) |
−0.933946 | + | 0.357415i | \(0.883658\pi\) | |||||||
\(450\) | −24.3141 | + | 10.3595i | −1.14618 | + | 0.488352i | ||||
\(451\) | 3.27102 | − | 11.1401i | 0.154026 | − | 0.524565i | ||||
\(452\) | 8.61901 | − | 11.5137i | 0.405404 | − | 0.541557i | ||||
\(453\) | 3.19758 | − | 44.7080i | 0.150235 | − | 2.10056i | ||||
\(454\) | −1.23833 | − | 2.71155i | −0.0581175 | − | 0.127260i | ||||
\(455\) | 8.44308 | − | 4.09189i | 0.395818 | − | 0.191831i | ||||
\(456\) | −13.4202 | − | 6.12881i | −0.628459 | − | 0.287008i | ||||
\(457\) | −2.69107 | + | 2.01451i | −0.125883 | + | 0.0942347i | −0.660364 | − | 0.750946i | \(-0.729598\pi\) |
0.534481 | + | 0.845180i | \(0.320507\pi\) | |||||||
\(458\) | −1.85373 | + | 8.52145i | −0.0866190 | + | 0.398181i | ||||
\(459\) | −40.9056 | −1.90931 | ||||||||
\(460\) | −6.06876 | + | 8.84139i | −0.282957 | + | 0.412232i | ||||
\(461\) | 6.32724 | 0.294689 | 0.147344 | − | 0.989085i | \(-0.452927\pi\) | ||||
0.147344 | + | 0.989085i | \(0.452927\pi\) | |||||||
\(462\) | 2.01919 | − | 9.28205i | 0.0939410 | − | 0.431840i | ||||
\(463\) | −7.38300 | + | 5.52685i | −0.343117 | + | 0.256854i | −0.756913 | − | 0.653515i | \(-0.773294\pi\) |
0.413796 | + | 0.910370i | \(0.364203\pi\) | |||||||
\(464\) | −6.11633 | − | 2.79324i | −0.283944 | − | 0.129673i | ||||
\(465\) | 7.68479 | − | 22.1385i | 0.356373 | − | 1.02665i | ||||
\(466\) | 1.11799 | + | 2.44806i | 0.0517899 | + | 0.113404i | ||||
\(467\) | 2.06297 | − | 28.8442i | 0.0954631 | − | 1.33475i | −0.693566 | − | 0.720393i | \(-0.743962\pi\) |
0.789029 | − | 0.614355i | \(-0.210584\pi\) | |||||||
\(468\) | 4.33777 | − | 5.79458i | 0.200513 | − | 0.267855i | ||||
\(469\) | −11.7517 | + | 40.0226i | −0.542643 | + | 1.84807i | ||||
\(470\) | −1.75115 | + | 2.86706i | −0.0807745 | + | 0.132248i | ||||
\(471\) | 17.5924 | − | 27.3744i | 0.810616 | − | 1.26134i | ||||
\(472\) | −6.32363 | + | 1.37562i | −0.291069 | + | 0.0633181i | ||||
\(473\) | 3.38705 | − | 0.242247i | 0.155737 | − | 0.0111385i | ||||
\(474\) | −0.629862 | − | 0.184944i | −0.0289305 | − | 0.00849476i | ||||
\(475\) | 11.7014 | + | 22.7995i | 0.536897 | + | 1.04611i | ||||
\(476\) | −12.4746 | − | 14.3964i | −0.571772 | − | 0.659860i | ||||
\(477\) | 8.24278 | − | 22.0997i | 0.377411 | − | 1.01188i | ||||
\(478\) | 16.4370 | + | 8.97527i | 0.751810 | + | 0.410519i | ||||
\(479\) | 4.10490 | − | 8.98848i | 0.187558 | − | 0.410694i | −0.792372 | − | 0.610039i | \(-0.791154\pi\) |
0.979930 | + | 0.199344i | \(0.0638812\pi\) | |||||||
\(480\) | −6.43485 | + | 0.147313i | −0.293710 | + | 0.00672388i | ||||
\(481\) | −6.31382 | − | 9.82450i | −0.287886 | − | 0.447959i | ||||
\(482\) | −3.81599 | − | 3.81599i | −0.173814 | − | 0.173814i | ||||
\(483\) | 2.25064 | − | 42.2394i | 0.102407 | − | 1.92196i | ||||
\(484\) | − | 9.84008i | − | 0.447276i | ||||||
\(485\) | 0.680664 | − | 14.0201i | 0.0309073 | − | 0.636622i | ||||
\(486\) | −1.54648 | + | 10.7560i | −0.0701496 | + | 0.487901i | ||||
\(487\) | 0.291855 | + | 0.782495i | 0.0132252 | + | 0.0354582i | 0.943395 | − | 0.331673i | \(-0.107613\pi\) |
−0.930169 | + | 0.367131i | \(0.880340\pi\) | |||||||
\(488\) | −3.87285 | + | 7.09259i | −0.175316 | + | 0.321067i | ||||
\(489\) | 19.8136 | − | 9.04859i | 0.896004 | − | 0.409191i | ||||
\(490\) | 5.31745 | − | 0.502867i | 0.240218 | − | 0.0227172i | ||||
\(491\) | −1.54744 | − | 10.7627i | −0.0698351 | − | 0.485714i | −0.994484 | − | 0.104892i | \(-0.966550\pi\) |
0.924649 | − | 0.380822i | \(-0.124359\pi\) | |||||||
\(492\) | 27.2354 | − | 14.8717i | 1.22787 | − | 0.670467i | ||||
\(493\) | 2.98215 | + | 41.6959i | 0.134309 | + | 1.87789i | ||||
\(494\) | −5.90446 | − | 3.79456i | −0.265654 | − | 0.170726i | ||||
\(495\) | −5.02163 | + | 11.6972i | −0.225705 | + | 0.525748i | ||||
\(496\) | 2.38423 | − | 2.75155i | 0.107055 | − | 0.123548i | ||||
\(497\) | 4.09995 | + | 7.50850i | 0.183908 | + | 0.336802i | ||||
\(498\) | −16.8830 | − | 12.6384i | −0.756544 | − | 0.566341i | ||||
\(499\) | 25.4510 | − | 22.0535i | 1.13935 | − | 0.987248i | 0.139350 | − | 0.990243i | \(-0.455499\pi\) |
0.999996 | + | 0.00299502i | \(0.000953345\pi\) | |||||||
\(500\) | 8.93198 | + | 6.72456i | 0.399450 | + | 0.300732i | ||||
\(501\) | −2.79156 | + | 0.819675i | −0.124718 | + | 0.0366204i | ||||
\(502\) | 11.1903 | − | 4.17376i | 0.499446 | − | 0.186284i | ||||
\(503\) | −24.9221 | − | 33.2920i | −1.11122 | − | 1.48442i | −0.855598 | − | 0.517640i | \(-0.826810\pi\) |
−0.255623 | − | 0.966777i | \(-0.582280\pi\) | |||||||
\(504\) | 13.6251 | − | 8.75632i | 0.606910 | − | 0.390038i | ||||
\(505\) | −5.87588 | − | 35.1382i | −0.261473 | − | 1.56363i | ||||
\(506\) | 0.827825 | + | 5.09833i | 0.0368013 | + | 0.226648i | ||||
\(507\) | −22.6435 | + | 22.6435i | −1.00563 | + | 1.00563i | ||||
\(508\) | 7.32749 | + | 1.59400i | 0.325105 | + | 0.0707222i | ||||
\(509\) | 16.6800 | + | 2.39822i | 0.739327 | + | 0.106299i | 0.501681 | − | 0.865053i | \(-0.332715\pi\) |
0.237646 | + | 0.971352i | \(0.423624\pi\) | |||||||
\(510\) | 19.9762 | + | 34.6726i | 0.884560 | + | 1.53533i | ||||
\(511\) | 11.8346 | + | 40.3050i | 0.523533 | + | 1.78299i | ||||
\(512\) | −0.936950 | − | 0.349464i | −0.0414077 | − | 0.0154443i | ||||
\(513\) | −33.6377 | − | 2.40581i | −1.48514 | − | 0.106219i | ||||
\(514\) | 15.3975 | − | 2.21382i | 0.679153 | − | 0.0976475i | ||||
\(515\) | 4.89964 | + | 6.24209i | 0.215904 | + | 0.275059i | ||||
\(516\) | 6.85899 | + | 5.94335i | 0.301950 | + | 0.261641i | ||||
\(517\) | 0.343956 | + | 1.58114i | 0.0151272 | + | 0.0695385i | ||||
\(518\) | −5.55457 | − | 25.5340i | −0.244054 | − | 1.12190i | ||||
\(519\) | −26.1171 | − | 22.6306i | −1.14641 | − | 0.993372i | ||||
\(520\) | −3.04006 | − | 0.366293i | −0.133315 | − | 0.0160630i | ||||
\(521\) | 13.0213 | − | 1.87217i | 0.570472 | − | 0.0820214i | 0.148958 | − | 0.988844i | \(-0.452408\pi\) |
0.421514 | + | 0.906822i | \(0.361499\pi\) | |||||||
\(522\) | −35.4510 | − | 2.53551i | −1.55165 | − | 0.110976i | ||||
\(523\) | 31.6508 | + | 11.8051i | 1.38399 | + | 0.516202i | 0.927599 | − | 0.373576i | \(-0.121869\pi\) |
0.456393 | + | 0.889779i | \(0.349141\pi\) | |||||||
\(524\) | −3.07119 | − | 10.4595i | −0.134166 | − | 0.456926i | ||||
\(525\) | −43.8926 | − | 4.27195i | −1.91563 | − | 0.186443i | ||||
\(526\) | −11.7669 | − | 1.69183i | −0.513062 | − | 0.0737672i | ||||
\(527\) | −22.1175 | − | 4.81136i | −0.963452 | − | 0.209586i | ||||
\(528\) | −2.19214 | + | 2.19214i | −0.0954005 | + | 0.0954005i | ||||
\(529\) | 7.27724 | + | 21.8184i | 0.316402 | + | 0.948625i | ||||
\(530\) | −9.84137 | + | 1.64569i | −0.427482 | + | 0.0714842i | ||||
\(531\) | −28.7770 | + | 18.4938i | −1.24881 | + | 0.802564i | ||||
\(532\) | −9.41143 | − | 12.5722i | −0.408037 | − | 0.545074i | ||||
\(533\) | 13.8317 | − | 5.15894i | 0.599116 | − | 0.223459i | ||||
\(534\) | −30.2487 | + | 8.88181i | −1.30899 | + | 0.384353i | ||||
\(535\) | 41.0917 | + | 7.95861i | 1.77655 | + | 0.344081i | ||||
\(536\) | 10.2882 | − | 8.91479i | 0.444383 | − | 0.385060i | ||||
\(537\) | −27.5134 | − | 20.5963i | −1.18729 | − | 0.888794i | ||||
\(538\) | 0.663613 | + | 1.21532i | 0.0286104 | + | 0.0523960i | ||||
\(539\) | 1.68467 | − | 1.94422i | 0.0725640 | − | 0.0837433i | ||||
\(540\) | −13.6638 | + | 5.45571i | −0.587995 | + | 0.234777i | ||||
\(541\) | 3.52453 | + | 2.26507i | 0.151531 | + | 0.0973832i | 0.614209 | − | 0.789143i | \(-0.289475\pi\) |
−0.462678 | + | 0.886526i | \(0.653111\pi\) | |||||||
\(542\) | −1.04702 | − | 14.6392i | −0.0449733 | − | 0.628809i | ||||
\(543\) | 47.9358 | − | 26.1749i | 2.05712 | − | 1.12327i | ||||
\(544\) | 0.884761 | + | 6.15365i | 0.0379338 | + | 0.263835i | ||||
\(545\) | 2.85615 | − | 3.45278i | 0.122344 | − | 0.147901i | ||||
\(546\) | 10.9866 | − | 5.01739i | 0.470181 | − | 0.214725i | ||||
\(547\) | 6.85763 | − | 12.5588i | 0.293211 | − | 0.536976i | −0.688999 | − | 0.724762i | \(-0.741950\pi\) |
0.982210 | + | 0.187787i | \(0.0601313\pi\) | |||||||
\(548\) | −2.98756 | − | 8.00995i | −0.127622 | − | 0.342168i | ||||
\(549\) | −6.07899 | + | 42.2803i | −0.259445 | + | 1.80448i | ||||
\(550\) | 5.34806 | − | 0.629558i | 0.228042 | − | 0.0268444i | ||||
\(551\) | 34.4629i | 1.46817i | ||||||||
\(552\) | −8.07081 | + | 11.1998i | −0.343516 | + | 0.476696i | ||||
\(553\) | −0.494108 | − | 0.494108i | −0.0210116 | − | 0.0210116i | ||||
\(554\) | 5.39057 | + | 8.38789i | 0.229023 | + | 0.356368i | ||||
\(555\) | 1.25631 | + | 54.8776i | 0.0533274 | + | 2.32943i | ||||
\(556\) | 2.17847 | − | 4.77019i | 0.0923878 | − | 0.202301i | ||||
\(557\) | −28.0002 | − | 15.2893i | −1.18641 | − | 0.647827i | −0.239990 | − | 0.970775i | \(-0.577144\pi\) |
−0.946417 | + | 0.322948i | \(0.895326\pi\) | |||||||
\(558\) | 6.72534 | − | 18.0313i | 0.284706 | − | 0.763327i | ||||
\(559\) | 2.82742 | + | 3.26302i | 0.119587 | + | 0.138011i | ||||
\(560\) | −6.08700 | − | 3.14509i | −0.257223 | − | 0.132904i | ||||
\(561\) | 18.4927 | + | 5.42994i | 0.780762 | + | 0.229252i | ||||
\(562\) | −24.2420 | + | 1.73382i | −1.02259 | + | 0.0731370i | ||||
\(563\) | 21.5825 | − | 4.69498i | 0.909593 | − | 0.197870i | 0.266659 | − | 0.963791i | \(-0.414080\pi\) |
0.642934 | + | 0.765921i | \(0.277717\pi\) | |||||||
\(564\) | −2.33815 | + | 3.63823i | −0.0984538 | + | 0.153197i | ||||
\(565\) | −31.2602 | + | 7.55351i | −1.31513 | + | 0.317778i | ||||
\(566\) | −4.08351 | + | 13.9071i | −0.171643 | + | 0.584561i | ||||
\(567\) | 5.65994 | − | 7.56079i | 0.237695 | − | 0.317524i | ||||
\(568\) | 0.199179 | − | 2.78489i | 0.00835738 | − | 0.116851i | ||||
\(569\) | 5.79131 | + | 12.6812i | 0.242785 | + | 0.531624i | 0.991320 | − | 0.131471i | \(-0.0419699\pi\) |
−0.748536 | + | 0.663095i | \(0.769243\pi\) | |||||||
\(570\) | 14.3876 | + | 29.6870i | 0.602632 | + | 1.24345i | ||||
\(571\) | −12.6559 | − | 5.77973i | −0.529631 | − | 0.241874i | 0.132606 | − | 0.991169i | \(-0.457666\pi\) |
−0.662237 | + | 0.749294i | \(0.730393\pi\) | |||||||
\(572\) | −1.18066 | + | 0.883832i | −0.0493660 | + | 0.0369549i | ||||
\(573\) | 4.40478 | − | 20.2485i | 0.184012 | − | 0.845892i | ||||
\(574\) | 33.0318 | 1.37872 | ||||||||
\(575\) | 23.0576 | − | 6.58401i | 0.961567 | − | 0.274572i | ||||
\(576\) | −5.28581 | −0.220242 | ||||||||
\(577\) | 1.69212 | − | 7.77856i | 0.0704440 | − | 0.323826i | −0.928417 | − | 0.371540i | \(-0.878830\pi\) |
0.998861 | + | 0.0477140i | \(0.0151936\pi\) | |||||||
\(578\) | 17.3319 | − | 12.9745i | 0.720910 | − | 0.539667i | ||||
\(579\) | 9.05568 | + | 4.13559i | 0.376341 | + | 0.171869i | ||||
\(580\) | 6.55724 | + | 13.5300i | 0.272275 | + | 0.561803i | ||||
\(581\) | −9.32569 | − | 20.4204i | −0.386895 | − | 0.847182i | ||||
\(582\) | 1.28906 | − | 18.0235i | 0.0534334 | − | 0.747097i | ||||
\(583\) | −2.88007 | + | 3.84732i | −0.119280 | + | 0.159340i | ||||
\(584\) | 3.86236 | − | 13.1540i | 0.159826 | − | 0.544316i | ||||
\(585\) | −15.7326 | + | 3.80152i | −0.650464 | + | 0.157174i | ||||
\(586\) | 4.42917 | − | 6.89192i | 0.182967 | − | 0.284703i | ||||
\(587\) | 17.3193 | − | 3.76757i | 0.714842 | − | 0.155504i | 0.159586 | − | 0.987184i | \(-0.448984\pi\) |
0.555256 | + | 0.831680i | \(0.312620\pi\) | |||||||
\(588\) | 6.85822 | − | 0.490509i | 0.282828 | − | 0.0202283i | ||||
\(589\) | −17.9047 | − | 5.25730i | −0.737752 | − | 0.216623i | ||||
\(590\) | 12.8561 | + | 6.64261i | 0.529277 | + | 0.273472i | ||||
\(591\) | 47.2176 | + | 54.4921i | 1.94227 | + | 2.24150i | ||||
\(592\) | −2.98030 | + | 7.99048i | −0.122489 | + | 0.328407i | ||||
\(593\) | −18.5221 | − | 10.1138i | −0.760610 | − | 0.415324i | 0.0516165 | − | 0.998667i | \(-0.483563\pi\) |
−0.812226 | + | 0.583343i | \(0.801744\pi\) | |||||||
\(594\) | −2.94377 | + | 6.44597i | −0.120785 | + | 0.264481i | ||||
\(595\) | 0.974878 | + | 42.5842i | 0.0399661 | + | 1.74578i | ||||
\(596\) | 2.05804 | + | 3.20237i | 0.0843005 | + | 0.131174i | ||||
\(597\) | 38.1857 | + | 38.1857i | 1.56284 | + | 1.56284i | ||||
\(598\) | −4.55870 | + | 4.72742i | −0.186419 | + | 0.193319i | ||||
\(599\) | − | 29.6876i | − | 1.21300i | −0.795083 | − | 0.606501i | \(-0.792573\pi\) | ||
0.795083 | − | 0.606501i | \(-0.207427\pi\) | |||||||
\(600\) | 11.2971 | + | 8.91748i | 0.461201 | + | 0.364054i | ||||
\(601\) | 2.79593 | − | 19.4461i | 0.114049 | − | 0.793225i | −0.849863 | − | 0.527003i | \(-0.823316\pi\) |
0.963912 | − | 0.266222i | \(-0.0857753\pi\) | |||||||
\(602\) | 3.37613 | + | 9.05175i | 0.137601 | + | 0.368922i | ||||
\(603\) | 34.4854 | − | 63.1552i | 1.40435 | − | 2.57188i | ||||
\(604\) | −14.1642 | + | 6.46856i | −0.576332 | + | 0.263202i | ||||
\(605\) | −14.0246 | + | 16.9542i | −0.570181 | + | 0.689288i | ||||
\(606\) | −6.52682 | − | 45.3950i | −0.265134 | − | 1.84405i | ||||
\(607\) | −39.2197 | + | 21.4156i | −1.59188 | + | 0.869232i | −0.593977 | + | 0.804482i | \(0.702443\pi\) |
−0.997902 | + | 0.0647498i | \(0.979375\pi\) | |||||||
\(608\) | 0.365641 | + | 5.11232i | 0.0148287 | + | 0.207332i | ||||
\(609\) | −49.8909 | − | 32.0629i | −2.02168 | − | 1.29926i | ||||
\(610\) | 16.7816 | − | 6.70060i | 0.679466 | − | 0.271299i | ||||
\(611\) | −1.34732 | + | 1.55489i | −0.0545068 | + | 0.0629043i | ||||
\(612\) | 15.7488 | + | 28.8418i | 0.636609 | + | 1.16586i | ||||
\(613\) | −8.19520 | − | 6.13485i | −0.331001 | − | 0.247784i | 0.420831 | − | 0.907139i | \(-0.361739\pi\) |
−0.751832 | + | 0.659355i | \(0.770830\pi\) | |||||||
\(614\) | −10.4564 | + | 9.06056i | −0.421988 | + | 0.365655i | ||||
\(615\) | −68.1220 | − | 13.1938i | −2.74694 | − | 0.532026i | ||||
\(616\) | −3.16634 | + | 0.929723i | −0.127576 | + | 0.0374596i | ||||
\(617\) | 19.1655 | − | 7.14837i | 0.771575 | − | 0.287783i | 0.0673217 | − | 0.997731i | \(-0.478555\pi\) |
0.704253 | + | 0.709949i | \(0.251282\pi\) | |||||||
\(618\) | 6.12178 | + | 8.17775i | 0.246254 | + | 0.328957i | ||||
\(619\) | −18.5156 | + | 11.8993i | −0.744205 | + | 0.478272i | −0.856981 | − | 0.515349i | \(-0.827662\pi\) |
0.112775 | + | 0.993621i | \(0.464026\pi\) | |||||||
\(620\) | −8.02964 | + | 1.34273i | −0.322478 | + | 0.0539253i | ||||
\(621\) | −8.33865 | + | 30.4335i | −0.334618 | + | 1.22126i | ||||
\(622\) | 12.8787 | − | 12.8787i | 0.516390 | − | 0.516390i | ||||
\(623\) | −32.7913 | − | 7.13330i | −1.31375 | − | 0.285790i | ||||
\(624\) | −3.90168 | − | 0.560976i | −0.156192 | − | 0.0224570i | ||||
\(625\) | −5.80540 | − | 24.3166i | −0.232216 | − | 0.972664i | ||||
\(626\) | −4.87893 | − | 16.6161i | −0.195001 | − | 0.664113i | ||||
\(627\) | 14.8876 | + | 5.55279i | 0.594554 | + | 0.221757i | ||||
\(628\) | −11.2756 | − | 0.806450i | −0.449947 | − | 0.0321809i | ||||
\(629\) | 52.4795 | − | 7.54541i | 2.09249 | − | 0.300855i | ||||
\(630\) | −35.9557 | − | 4.33226i | −1.43251 | − | 0.172601i | ||||
\(631\) | 6.69141 | + | 5.79814i | 0.266381 | + | 0.230820i | 0.777801 | − | 0.628510i | \(-0.216335\pi\) |
−0.511420 | + | 0.859331i | \(0.670880\pi\) | |||||||
\(632\) | 0.0484762 | + | 0.222841i | 0.00192828 | + | 0.00886415i | ||||
\(633\) | 8.95364 | + | 41.1592i | 0.355875 | + | 1.63593i | ||||
\(634\) | 24.2652 | + | 21.0259i | 0.963695 | + | 0.835047i | ||||
\(635\) | −10.3533 | − | 13.1900i | −0.410857 | − | 0.523427i | ||||
\(636\) | −12.7140 | + | 1.82800i | −0.504145 | + | 0.0724851i | ||||
\(637\) | 3.26265 | + | 0.233349i | 0.129271 | + | 0.00924564i | ||||
\(638\) | 6.78511 | + | 2.53071i | 0.268625 | + | 0.100192i | ||||
\(639\) | −4.15781 | − | 14.1602i | −0.164480 | − | 0.560169i | ||||
\(640\) | 1.11627 | + | 1.93751i | 0.0441244 | + | 0.0765868i | ||||
\(641\) | 29.6107 | + | 4.25737i | 1.16955 | + | 0.168156i | 0.699599 | − | 0.714536i | \(-0.253362\pi\) |
0.469952 | + | 0.882692i | \(0.344271\pi\) | |||||||
\(642\) | 52.6494 | + | 11.4532i | 2.07790 | + | 0.452020i | ||||
\(643\) | 8.28887 | − | 8.28887i | 0.326881 | − | 0.326881i | −0.524518 | − | 0.851399i | \(-0.675755\pi\) |
0.851399 | + | 0.524518i | \(0.175755\pi\) | |||||||
\(644\) | −13.2538 | + | 6.34628i | −0.522273 | + | 0.250079i | ||||
\(645\) | −3.34712 | − | 20.0161i | −0.131793 | − | 0.788132i | ||||
\(646\) | 26.8058 | − | 17.2270i | 1.05466 | − | 0.677789i | ||||
\(647\) | −9.84857 | − | 13.1561i | −0.387187 | − | 0.517222i | 0.564026 | − | 0.825757i | \(-0.309252\pi\) |
−0.951213 | + | 0.308536i | \(0.900161\pi\) | |||||||
\(648\) | −2.88801 | + | 1.07717i | −0.113452 | + | 0.0423153i | ||||
\(649\) | 6.68750 | − | 1.96363i | 0.262507 | − | 0.0770791i | ||||
\(650\) | 4.71590 | + | 4.96397i | 0.184973 | + | 0.194703i | ||||
\(651\) | 24.2687 | − | 21.0290i | 0.951166 | − | 0.824190i | ||||
\(652\) | −6.05780 | − | 4.53481i | −0.237242 | − | 0.177597i | ||||
\(653\) | 21.3348 | + | 39.0717i | 0.834894 | + | 1.52899i | 0.848567 | + | 0.529087i | \(0.177466\pi\) |
−0.0136734 | + | 0.999907i | \(0.504353\pi\) | |||||||
\(654\) | 3.77750 | − | 4.35947i | 0.147712 | − | 0.170469i | ||||
\(655\) | −9.61586 | + | 22.3988i | −0.375723 | + | 0.875192i | ||||
\(656\) | −9.06897 | − | 5.82828i | −0.354084 | − | 0.227556i | ||||
\(657\) | −5.16958 | − | 72.2802i | −0.201685 | − | 2.81992i | ||||
\(658\) | −4.04048 | + | 2.20627i | −0.157514 | + | 0.0860093i | ||||
\(659\) | −5.81469 | − | 40.4420i | −0.226508 | − | 1.57540i | −0.712651 | − | 0.701519i | \(-0.752506\pi\) |
0.486143 | − | 0.873879i | \(-0.338404\pi\) | |||||||
\(660\) | 6.90135 | − | 0.652655i | 0.268635 | − | 0.0254046i | ||||
\(661\) | 8.42094 | − | 3.84572i | 0.327537 | − | 0.149581i | −0.244859 | − | 0.969559i | \(-0.578742\pi\) |
0.572395 | + | 0.819978i | \(0.306014\pi\) | |||||||
\(662\) | 4.08811 | − | 7.48682i | 0.158889 | − | 0.290983i | ||||
\(663\) | 8.56392 | + | 22.9608i | 0.332595 | + | 0.891722i | ||||
\(664\) | −1.04267 | + | 7.25194i | −0.0404635 | + | 0.281430i | ||||
\(665\) | −1.70287 | + | 35.0753i | −0.0660345 | + | 1.36016i | ||||
\(666\) | 45.0784i | 1.74675i | ||||||||
\(667\) | 31.6294 | + | 6.28104i | 1.22469 | + | 0.243203i | ||||
\(668\) | 0.714698 | + | 0.714698i | 0.0276525 | + | 0.0276525i | ||||
\(669\) | −12.1492 | − | 18.9045i | −0.469714 | − | 0.730889i | ||||
\(670\) | −30.4322 | + | 0.696683i | −1.17570 | + | 0.0269152i | ||||
\(671\) | 3.61548 | − | 7.91681i | 0.139574 | − | 0.305625i | ||||
\(672\) | −7.74113 | − | 4.22698i | −0.298621 | − | 0.163059i | ||||
\(673\) | 12.4034 | − | 33.2549i | 0.478117 | − | 1.28188i | −0.444366 | − | 0.895845i | \(-0.646571\pi\) |
0.922483 | − | 0.386037i | \(-0.126156\pi\) | |||||||
\(674\) | −19.3986 | − | 22.3872i | −0.747206 | − | 0.862321i | ||||
\(675\) | 31.3182 | + | 10.0743i | 1.20544 | + | 0.387758i | ||||
\(676\) | 10.6741 | + | 3.13421i | 0.410544 | + | 0.120547i | ||||
\(677\) | 12.9502 | − | 0.926220i | 0.497718 | − | 0.0355975i | 0.179776 | − | 0.983708i | \(-0.442463\pi\) |
0.317942 | + | 0.948110i | \(0.397008\pi\) | |||||||
\(678\) | −40.4536 | + | 8.80013i | −1.55361 | + | 0.337967i | ||||
\(679\) | 10.3989 | − | 16.1811i | 0.399075 | − | 0.620972i | ||||
\(680\) | 7.24608 | − | 11.8636i | 0.277874 | − | 0.454949i | ||||
\(681\) | −2.41745 | + | 8.23307i | −0.0926368 | + | 0.315492i | ||||
\(682\) | −2.34986 | + | 3.13905i | −0.0899810 | + | 0.120201i | ||||
\(683\) | −1.69121 | + | 23.6463i | −0.0647125 | + | 0.904799i | 0.856601 | + | 0.515979i | \(0.172572\pi\) |
−0.921314 | + | 0.388820i | \(0.872883\pi\) | |||||||
\(684\) | 11.2543 | + | 24.6436i | 0.430320 | + | 0.942270i | ||||
\(685\) | −6.26871 | + | 18.0590i | −0.239515 | + | 0.689999i | ||||
\(686\) | −12.8527 | − | 5.86965i | −0.490720 | − | 0.224104i | ||||
\(687\) | 20.0958 | − | 15.0435i | 0.766701 | − | 0.573945i | ||||
\(688\) | 0.670204 | − | 3.08088i | 0.0255513 | − | 0.117457i | ||||
\(689\) | −6.11063 | −0.232797 | ||||||||
\(690\) | 29.8684 | − | 7.79409i | 1.13707 | − | 0.296716i | ||||
\(691\) | 24.1248 | 0.917750 | 0.458875 | − | 0.888501i | \(-0.348253\pi\) | ||||
0.458875 | + | 0.888501i | \(0.348253\pi\) | |||||||
\(692\) | −2.55195 | + | 11.7311i | −0.0970105 | + | 0.445950i | ||||
\(693\) | −13.9641 | + | 10.4534i | −0.530451 | + | 0.397090i | ||||
\(694\) | −7.55354 | − | 3.44959i | −0.286728 | − | 0.130944i | ||||
\(695\) | −10.5522 | + | 5.11406i | −0.400267 | + | 0.193987i | ||||
\(696\) | 8.04035 | + | 17.6059i | 0.304769 | + | 0.667350i | ||||
\(697\) | −4.78118 | + | 66.8496i | −0.181100 | + | 2.53211i | ||||
\(698\) | −5.48507 | + | 7.32720i | −0.207613 | + | 0.277339i | ||||
\(699\) | 2.18253 | − | 7.43302i | 0.0825510 | − | 0.281143i | ||||
\(700\) | 6.00523 | + | 14.0944i | 0.226976 | + | 0.532720i | ||||
\(701\) | −5.85348 | + | 9.10819i | −0.221083 | + | 0.344011i | −0.934023 | − | 0.357214i | \(-0.883727\pi\) |
0.712940 | + | 0.701225i | \(0.247363\pi\) | |||||||
\(702\) | −8.80429 | + | 1.91526i | −0.332296 | + | 0.0722867i | ||||
\(703\) | 43.5989 | − | 3.11825i | 1.64436 | − | 0.117607i | ||||
\(704\) | 1.03337 | + | 0.303425i | 0.0389467 | + | 0.0114358i | ||||
\(705\) | 9.21398 | − | 2.93614i | 0.347018 | − | 0.110581i | ||||
\(706\) | −5.70680 | − | 6.58599i | −0.214778 | − | 0.247867i | ||||
\(707\) | 17.0603 | − | 45.7406i | 0.641620 | − | 1.72025i | ||||
\(708\) | 16.3497 | + | 8.92762i | 0.614460 | + | 0.335520i | ||||
\(709\) | 3.31934 | − | 7.26835i | 0.124661 | − | 0.272968i | −0.837004 | − | 0.547197i | \(-0.815695\pi\) |
0.961665 | + | 0.274228i | \(0.0884223\pi\) | |||||||
\(710\) | −4.31235 | + | 4.51442i | −0.161840 | + | 0.169423i | ||||
\(711\) | 0.651713 | + | 1.01408i | 0.0244411 | + | 0.0380311i | ||||
\(712\) | 7.74430 | + | 7.74430i | 0.290230 | + | 0.290230i | ||||
\(713\) | −8.08829 | + | 15.4745i | −0.302909 | + | 0.579523i | ||||
\(714\) | 54.8333i | 2.05209i | ||||||||
\(715\) | 3.29394 | + | 0.159917i | 0.123186 | + | 0.00598057i | ||||
\(716\) | −1.69919 | + | 11.8182i | −0.0635019 | + | 0.441665i | ||||
\(717\) | −18.8389 | − | 50.5092i | −0.703553 | − | 1.88630i | ||||
\(718\) | −2.63583 | + | 4.82716i | −0.0983683 | + | 0.180148i | ||||
\(719\) | −36.2841 | + | 16.5704i | −1.35317 | + | 0.617972i | −0.954249 | − | 0.299014i | \(-0.903342\pi\) |
−0.398921 | + | 0.916985i | \(0.630615\pi\) | |||||||
\(720\) | 9.10734 | + | 7.53361i | 0.339410 | + | 0.280761i | ||||
\(721\) | 1.54751 | + | 10.7632i | 0.0576324 | + | 0.400842i | ||||
\(722\) | 6.38032 | − | 3.48392i | 0.237451 | − | 0.129658i | ||||
\(723\) | 1.10820 | + | 15.4946i | 0.0412144 | + | 0.576252i | ||||
\(724\) | −15.9619 | − | 10.2581i | −0.593218 | − | 0.381238i | ||||
\(725\) | 7.98569 | − | 32.6576i | 0.296581 | − | 1.21287i | ||||
\(726\) | −18.5488 | + | 21.4064i | −0.688409 | + | 0.794466i | ||||
\(727\) | −4.44338 | − | 8.13743i | −0.164796 | − | 0.301801i | 0.782212 | − | 0.623013i | \(-0.214092\pi\) |
−0.947007 | + | 0.321212i | \(0.895910\pi\) | |||||||
\(728\) | −3.35902 | − | 2.51453i | −0.124493 | − | 0.0931946i | ||||
\(729\) | 30.6280 | − | 26.5393i | 1.13437 | − | 0.982937i | ||||
\(730\) | −25.4025 | + | 17.1592i | −0.940190 | + | 0.635091i | ||||
\(731\) | −18.8076 | + | 5.52240i | −0.695623 | + | 0.204253i | ||||
\(732\) | 21.7948 | − | 8.12905i | 0.805560 | − | 0.300458i | ||||
\(733\) | −11.9620 | − | 15.9794i | −0.441828 | − | 0.590213i | 0.523249 | − | 0.852180i | \(-0.324720\pi\) |
−0.965077 | + | 0.261967i | \(0.915629\pi\) | |||||||
\(734\) | 11.3613 | − | 7.30146i | 0.419353 | − | 0.269502i | ||||
\(735\) | −12.5157 | − | 8.92955i | −0.461647 | − | 0.329372i | ||||
\(736\) | 4.75863 | + | 0.596170i | 0.175406 | + | 0.0219751i | ||||
\(737\) | −10.3672 | + | 10.3672i | −0.381881 | + | 0.381881i | ||||
\(738\) | −55.6804 | − | 12.1125i | −2.04963 | − | 0.445869i | ||||
\(739\) | −4.42741 | − | 0.636565i | −0.162865 | − | 0.0234164i | 0.0604000 | − | 0.998174i | \(-0.480762\pi\) |
−0.223265 | + | 0.974758i | \(0.571671\pi\) | |||||||
\(740\) | 16.5234 | − | 9.51975i | 0.607414 | − | 0.349953i | ||||
\(741\) | 5.69191 | + | 19.3848i | 0.209097 | + | 0.712120i | ||||
\(742\) | −12.8108 | − | 4.77819i | −0.470300 | − | 0.175413i | ||||
\(743\) | 32.8618 | + | 2.35032i | 1.20558 | + | 0.0862249i | 0.659629 | − | 0.751591i | \(-0.270713\pi\) |
0.545952 | + | 0.837816i | \(0.316168\pi\) | |||||||
\(744\) | −10.3735 | + | 1.49148i | −0.380310 | + | 0.0546803i | ||||
\(745\) | 1.01823 | − | 8.45083i | 0.0373051 | − | 0.309615i | ||||
\(746\) | −21.6276 | − | 18.7404i | −0.791842 | − | 0.686135i | ||||
\(747\) | 8.23192 | + | 37.8415i | 0.301190 | + | 1.38455i | ||||
\(748\) | −1.42326 | − | 6.54260i | −0.0520394 | − | 0.239221i | ||||
\(749\) | 43.3456 | + | 37.5592i | 1.58381 | + | 1.37238i | ||||
\(750\) | −6.75496 | − | 31.4658i | −0.246656 | − | 1.14897i | ||||
\(751\) | −8.85109 | + | 1.27259i | −0.322981 | + | 0.0464377i | −0.301898 | − | 0.953340i | \(-0.597620\pi\) |
−0.0210825 | + | 0.999778i | \(0.506711\pi\) | |||||||
\(752\) | 1.49861 | + | 0.107183i | 0.0546486 | + | 0.00390854i | ||||
\(753\) | −32.2113 | − | 12.0142i | −1.17384 | − | 0.437821i | ||||
\(754\) | 2.59412 | + | 8.83475i | 0.0944721 | + | 0.321743i | ||||
\(755\) | 33.6239 | + | 9.04233i | 1.22370 | + | 0.329084i | ||||
\(756\) | −19.9556 | − | 2.86919i | −0.725780 | − | 0.104351i | ||||
\(757\) | 14.1650 | + | 3.08141i | 0.514837 | + | 0.111996i | 0.462475 | − | 0.886632i | \(-0.346961\pi\) |
0.0523617 | + | 0.998628i | \(0.483325\pi\) | |||||||
\(758\) | 10.2086 | − | 10.2086i | 0.370792 | − | 0.370792i | ||||
\(759\) | 7.80959 | − | 12.6515i | 0.283470 | − | 0.459222i | ||||
\(760\) | 6.65636 | − | 9.32955i | 0.241452 | − | 0.338418i | ||||
\(761\) | −37.0139 | + | 23.7874i | −1.34175 | + | 0.862291i | −0.997075 | − | 0.0764305i | \(-0.975648\pi\) |
−0.344676 | + | 0.938722i | \(0.612011\pi\) | |||||||
\(762\) | −12.9357 | − | 17.2801i | −0.468612 | − | 0.625993i | ||||
\(763\) | 5.75316 | − | 2.14582i | 0.208278 | − | 0.0776838i | ||||
\(764\) | −6.90727 | + | 2.02816i | −0.249896 | + | 0.0733762i | ||||
\(765\) | 13.9720 | − | 72.1399i | 0.505159 | − | 2.60822i | ||||
\(766\) | −7.13617 | + | 6.18352i | −0.257840 | + | 0.223420i | ||||
\(767\) | 7.09443 | + | 5.31082i | 0.256165 | + | 0.191763i | ||||
\(768\) | 1.37952 | + | 2.52641i | 0.0497792 | + | 0.0911638i | ||||
\(769\) | 19.0076 | − | 21.9359i | 0.685431 | − | 0.791029i | −0.301277 | − | 0.953537i | \(-0.597413\pi\) |
0.986707 | + | 0.162508i | \(0.0519582\pi\) | |||||||
\(770\) | 6.78063 | + | 2.91095i | 0.244357 | + | 0.104903i | ||||
\(771\) | −37.6692 | − | 24.2085i | −1.35662 | − | 0.871850i | ||||
\(772\) | −0.246726 | − | 3.44969i | −0.00887988 | − | 0.124157i | ||||
\(773\) | 8.76323 | − | 4.78509i | 0.315192 | − | 0.172108i | −0.313864 | − | 0.949468i | \(-0.601624\pi\) |
0.629056 | + | 0.777360i | \(0.283442\pi\) | |||||||
\(774\) | −2.37179 | − | 16.4962i | −0.0852523 | − | 0.592943i | ||||
\(775\) | 15.7486 | + | 9.13077i | 0.565707 | + | 0.327987i | ||||
\(776\) | −5.71011 | + | 2.60772i | −0.204981 | + | 0.0936117i | ||||
\(777\) | −36.0485 | + | 66.0179i | −1.29323 | + | 2.36838i | ||||
\(778\) | 3.47528 | + | 9.31760i | 0.124595 | + | 0.334052i | ||||
\(779\) | −7.86335 | + | 54.6908i | −0.281734 | + | 1.95950i | ||||
\(780\) | 5.92297 | + | 6.52743i | 0.212076 | + | 0.233719i | ||||
\(781\) | 3.00698i | 0.107598i | ||||||||
\(782\) | −10.9252 | − | 27.7416i | −0.390683 | − | 0.992037i | ||||
\(783\) | 31.2837 | + | 31.2837i | 1.11799 | + | 1.11799i | ||||
\(784\) | −1.29140 | − | 2.00946i | −0.0461214 | − | 0.0717663i | ||||
\(785\) | 18.2783 | + | 17.4601i | 0.652381 | + | 0.623179i | ||||
\(786\) | −13.0353 | + | 28.5432i | −0.464952 | + | 1.01810i | ||||
\(787\) | 12.9345 | + | 7.06278i | 0.461066 | + | 0.251761i | 0.692955 | − | 0.720981i | \(-0.256309\pi\) |
−0.231889 | + | 0.972742i | \(0.574490\pi\) | |||||||
\(788\) | 8.75368 | − | 23.4695i | 0.311837 | − | 0.836067i | ||||
\(789\) | 22.4090 | + | 25.8614i | 0.797782 | + | 0.920689i | ||||
\(790\) | 0.234082 | − | 0.453041i | 0.00832826 | − | 0.0161185i | ||||
\(791\) | −42.2837 | − | 12.4156i | −1.50343 | − | 0.441448i | ||||
\(792\) | 5.67830 | − | 0.406120i | 0.201770 | − | 0.0144309i | ||||
\(793\) | 10.8132 | − | 2.35228i | 0.383990 | − | 0.0835318i | ||||
\(794\) | 1.11711 | − | 1.73826i | 0.0396447 | − | 0.0616884i | ||||
\(795\) | 24.5114 | + | 14.9711i | 0.869329 | + | 0.530971i | ||||
\(796\) | 5.28549 | − | 18.0007i | 0.187339 | − | 0.638018i | ||||
\(797\) | −1.38615 | + | 1.85169i | −0.0491001 | + | 0.0655901i | −0.824419 | − | 0.565980i | \(-0.808498\pi\) |
0.775319 | + | 0.631570i | \(0.217589\pi\) | |||||||
\(798\) | −3.22495 | + | 45.0907i | −0.114162 | + | 1.59619i | ||||
\(799\) | −3.88020 | − | 8.49644i | −0.137271 | − | 0.300583i | ||||
\(800\) | 0.838132 | − | 4.92925i | 0.0296325 | − | 0.174275i | ||||
\(801\) | 52.6592 | + | 24.0486i | 1.86062 | + | 0.849717i | ||||
\(802\) | 13.0295 | − | 9.75378i | 0.460089 | − | 0.344418i | ||||
\(803\) | −3.13851 | + | 14.4275i | −0.110756 | + | 0.509135i | ||||
\(804\) | −39.1859 | −1.38198 | ||||||||
\(805\) | 31.8811 | + | 7.95552i | 1.12366 | + | 0.280395i | ||||
\(806\) | −4.98571 | −0.175614 | ||||||||
\(807\) | 0.847254 | − | 3.89476i | 0.0298247 | − | 0.137102i | ||||
\(808\) | −12.7546 | + | 9.54799i | −0.448706 | + | 0.335897i | ||||
\(809\) | −37.5258 | − | 17.1375i | −1.31934 | − | 0.602521i | −0.373640 | − | 0.927574i | \(-0.621891\pi\) |
−0.945696 | + | 0.325053i | \(0.894618\pi\) | |||||||
\(810\) | 6.51122 | + | 2.26020i | 0.228781 | + | 0.0794153i | ||||
\(811\) | −12.5834 | − | 27.5539i | −0.441864 | − | 0.967547i | −0.991252 | − | 0.131980i | \(-0.957867\pi\) |
0.549389 | − | 0.835567i | \(-0.314861\pi\) | |||||||
\(812\) | −1.46979 | + | 20.5503i | −0.0515795 | + | 0.721175i | ||||
\(813\) | −25.3176 | + | 33.8203i | −0.887926 | + | 1.18613i | ||||
\(814\) | 2.58767 | − | 8.81279i | 0.0906977 | − | 0.308888i | ||||
\(815\) | 3.97420 | + | 16.4473i | 0.139210 | + | 0.576123i | ||||
\(816\) | 9.67502 | − | 15.0546i | 0.338694 | − | 0.527017i | ||||
\(817\) | −15.7907 | + | 3.43505i | −0.552446 | + | 0.120177i | ||||
\(818\) | 35.8804 | − | 2.56622i | 1.25453 | − | 0.0897256i | ||||
\(819\) | −21.2805 | − | 6.24852i | −0.743601 | − | 0.218341i | ||||
\(820\) | 7.31888 | + | 22.9676i | 0.255586 | + | 0.802062i | ||||
\(821\) | −9.85547 | − | 11.3738i | −0.343958 | − | 0.396949i | 0.557243 | − | 0.830349i | \(-0.311859\pi\) |
−0.901202 | + | 0.433400i | \(0.857314\pi\) | |||||||
\(822\) | −8.59971 | + | 23.0567i | −0.299949 | + | 0.804195i | ||||
\(823\) | −35.1295 | − | 19.1821i | −1.22454 | − | 0.668647i | −0.268892 | − | 0.963170i | \(-0.586657\pi\) |
−0.955644 | + | 0.294523i | \(0.904839\pi\) | |||||||
\(824\) | 1.47423 | − | 3.22811i | 0.0513572 | − | 0.112457i | ||||
\(825\) | −12.8211 | − | 8.71166i | −0.446373 | − | 0.303301i | ||||
\(826\) | 10.7206 | + | 16.6815i | 0.373016 | + | 0.580424i | ||||
\(827\) | 9.01789 | + | 9.01789i | 0.313583 | + | 0.313583i | 0.846296 | − | 0.532713i | \(-0.178828\pi\) |
−0.532713 | + | 0.846296i | \(0.678828\pi\) | |||||||
\(828\) | 24.6686 | − | 5.83760i | 0.857291 | − | 0.202871i | ||||
\(829\) | − | 51.0735i | − | 1.77386i | −0.461909 | − | 0.886928i | \(-0.652835\pi\) | ||
0.461909 | − | 0.886928i | \(-0.347165\pi\) | |||||||
\(830\) | 12.1324 | − | 11.0089i | 0.421120 | − | 0.382123i | ||||
\(831\) | 4.08455 | − | 28.4086i | 0.141691 | − | 0.985485i | ||||
\(832\) | 0.478552 | + | 1.28305i | 0.0165908 | + | 0.0444817i | ||||
\(833\) | −7.11686 | + | 13.0336i | −0.246585 | + | 0.451586i | ||||
\(834\) | −13.7310 | + | 6.27075i | −0.475467 | + | 0.217138i | ||||
\(835\) | −0.212784 | − | 2.25003i | −0.00736369 | − | 0.0778656i | ||||
\(836\) | −0.785582 | − | 5.46384i | −0.0271699 | − | 0.188971i | ||||
\(837\) | −21.0253 | + | 11.4807i | −0.726742 | + | 0.396831i | ||||
\(838\) | 0.811899 | + | 11.3518i | 0.0280466 | + | 0.392142i | ||||
\(839\) | 13.4874 | + | 8.66782i | 0.465637 | + | 0.299246i | 0.752342 | − | 0.658772i | \(-0.228924\pi\) |
−0.286706 | + | 0.958019i | \(0.592560\pi\) | |||||||
\(840\) | 7.31329 | + | 18.3161i | 0.252333 | + | 0.631964i | ||||
\(841\) | 10.6164 | − | 12.2520i | 0.366083 | − | 0.422482i | ||||
\(842\) | −5.38526 | − | 9.86237i | −0.185588 | − | 0.339880i | ||||
\(843\) | 56.0052 | + | 41.9249i | 1.92892 | + | 1.44397i | ||||
\(844\) | 11.0590 | − | 9.58272i | 0.380668 | − | 0.329851i | ||||
\(845\) | −13.9243 | − | 20.6135i | −0.479010 | − | 0.709127i | ||||
\(846\) | 7.61990 | − | 2.23740i | 0.261977 | − | 0.0769235i | ||||
\(847\) | −28.2499 | + | 10.5366i | −0.970676 | + | 0.362044i | ||||
\(848\) | 2.67416 | + | 3.57226i | 0.0918311 | + | 0.122672i | ||||
\(849\) | 35.0987 | − | 22.5565i | 1.20458 | − | 0.774138i | ||||
\(850\) | −29.3935 | + | 10.1132i | −1.00819 | + | 0.346882i | ||||
\(851\) | 5.08425 | − | 40.5825i | 0.174286 | − | 1.39115i | ||||
\(852\) | −5.68288 | + | 5.68288i | −0.194692 | + | 0.194692i | ||||
\(853\) | 7.25289 | + | 1.57777i | 0.248334 | + | 0.0540218i | 0.335009 | − | 0.942215i | \(-0.391261\pi\) |
−0.0866750 | + | 0.996237i | \(0.527624\pi\) | |||||||
\(854\) | 24.5091 | + | 3.52388i | 0.838685 | + | 0.120585i | ||||
\(855\) | 15.7323 | − | 58.5006i | 0.538034 | − | 2.00068i | ||||
\(856\) | −5.27355 | − | 17.9601i | −0.180246 | − | 0.613862i | ||||
\(857\) | 26.8841 | + | 10.0272i | 0.918342 | + | 0.342524i | 0.763793 | − | 0.645461i | \(-0.223335\pi\) |
0.154549 | + | 0.987985i | \(0.450608\pi\) | |||||||
\(858\) | 4.23449 | + | 0.302857i | 0.144563 | + | 0.0103394i | ||||
\(859\) | 5.50786 | − | 0.791911i | 0.187926 | − | 0.0270197i | −0.0477092 | − | 0.998861i | \(-0.515192\pi\) |
0.235635 | + | 0.971842i | \(0.424283\pi\) | |||||||
\(860\) | −5.54578 | + | 4.35308i | −0.189110 | + | 0.148439i | ||||
\(861\) | −71.8585 | − | 62.2657i | −2.44893 | − | 2.12201i | ||||
\(862\) | −2.79313 | − | 12.8398i | −0.0951345 | − | 0.437326i | ||||
\(863\) | 11.4427 | + | 52.6012i | 0.389513 | + | 1.79056i | 0.586274 | + | 0.810113i | \(0.300594\pi\) |
−0.196761 | + | 0.980452i | \(0.563042\pi\) | |||||||
\(864\) | 4.97262 | + | 4.30880i | 0.169172 | + | 0.146588i | ||||
\(865\) | 21.1167 | − | 16.5753i | 0.717991 | − | 0.563576i | ||||
\(866\) | 10.4757 | − | 1.50618i | 0.355980 | − | 0.0511822i | ||||
\(867\) | −62.1614 | − | 4.44587i | −2.11111 | − | 0.150990i | ||||
\(868\) | −10.4524 | − | 3.89856i | −0.354779 | − | 0.132326i | ||||
\(869\) | −0.0691971 | − | 0.235664i | −0.00234735 | − | 0.00799434i | ||||
\(870\) | 11.2395 | − | 41.7941i | 0.381056 | − | 1.41695i | ||||
\(871\) | −18.4521 | − | 2.65301i | −0.625226 | − | 0.0898939i | ||||
\(872\) | −1.95816 | − | 0.425972i | −0.0663117 | − | 0.0144252i | ||||
\(873\) | −23.4626 | + | 23.4626i | −0.794087 | + | 0.794087i | ||||
\(874\) | −7.35242 | − | 23.4551i | −0.248699 | − | 0.793380i | ||||
\(875\) | 9.74127 | − | 32.8434i | 0.329315 | − | 1.11031i | ||||
\(876\) | −33.1979 | + | 21.3350i | −1.12165 | + | 0.720842i | ||||
\(877\) | 3.93117 | + | 5.25143i | 0.132746 | + | 0.177328i | 0.861989 | − | 0.506927i | \(-0.169219\pi\) |
−0.729243 | + | 0.684255i | \(0.760128\pi\) | |||||||
\(878\) | 16.9660 | − | 6.32798i | 0.572574 | − | 0.213559i | ||||
\(879\) | −22.6268 | + | 6.64382i | −0.763182 | + | 0.224091i | ||||
\(880\) | −1.34802 | − | 1.99561i | −0.0454417 | − | 0.0672721i | ||||
\(881\) | −8.69678 | + | 7.53580i | −0.293002 | + | 0.253888i | −0.788940 | − | 0.614470i | \(-0.789370\pi\) |
0.495938 | + | 0.868358i | \(0.334824\pi\) | |||||||
\(882\) | −10.1076 | − | 7.56643i | −0.340340 | − | 0.254775i | ||||
\(883\) | −24.3871 | − | 44.6617i | −0.820691 | − | 1.50298i | −0.863755 | − | 0.503912i | \(-0.831894\pi\) |
0.0430636 | − | 0.999072i | \(-0.486288\pi\) | |||||||
\(884\) | 5.57509 | − | 6.43399i | 0.187510 | − | 0.216399i | ||||
\(885\) | −15.4461 | − | 38.6846i | −0.519214 | − | 1.30037i | ||||
\(886\) | −26.7136 | − | 17.1678i | −0.897461 | − | 0.576763i | ||||
\(887\) | 0.998188 | + | 13.9565i | 0.0335159 | + | 0.468613i | 0.986300 | + | 0.164964i | \(0.0527507\pi\) |
−0.952784 | + | 0.303650i | \(0.901795\pi\) | |||||||
\(888\) | 21.5457 | − | 11.7648i | 0.723025 | − | 0.394802i | ||||
\(889\) | −3.27000 | − | 22.7433i | −0.109672 | − | 0.762786i | ||||
\(890\) | −2.30568 | − | 24.3808i | −0.0772864 | − | 0.817247i | ||||
\(891\) | 3.01969 | − | 1.37905i | 0.101164 | − | 0.0461998i | ||||
\(892\) | −3.74138 | + | 6.85182i | −0.125271 | + | 0.229416i | ||||
\(893\) | −2.69107 | − | 7.21503i | −0.0900532 | − | 0.241442i | ||||
\(894\) | 1.55942 | − | 10.8460i | 0.0521547 | − | 0.362744i | ||||
\(895\) | 19.7715 | − | 17.9406i | 0.660889 | − | 0.599690i | ||||
\(896\) | 3.06409i | 0.102364i | ||||||||
\(897\) | 18.8284 | − | 1.69093i | 0.628663 | − | 0.0564585i | ||||
\(898\) | −24.1413 | − | 24.1413i | −0.805605 | − | 0.805605i | ||||
\(899\) | 13.2353 | + | 20.5945i | 0.441422 | + | 0.686866i | ||||
\(900\) | −4.95444 | − | 25.9605i | −0.165148 | − | 0.865350i | ||||
\(901\) | 11.5244 | − | 25.2349i | 0.383933 | − | 0.840695i | ||||
\(902\) | 10.1902 | + | 5.56426i | 0.339296 | + | 0.185270i | ||||
\(903\) | 9.71822 | − | 26.0555i | 0.323402 | − | 0.867074i | ||||
\(904\) | 9.41843 | + | 10.8694i | 0.313252 | + | 0.361512i | ||||
\(905\) | 12.8816 | + | 40.4241i | 0.428199 | + | 1.34374i | ||||
\(906\) | 43.0066 | + | 12.6279i | 1.42880 | + | 0.419533i | ||||
\(907\) | −7.56992 | + | 0.541411i | −0.251355 | + | 0.0179773i | −0.196448 | − | 0.980514i | \(-0.562941\pi\) |
−0.0549069 | + | 0.998491i | \(0.517486\pi\) | |||||||
\(908\) | 2.91281 | − | 0.633643i | 0.0966650 | − | 0.0210282i | ||||
\(909\) | −45.5307 | + | 70.8471i | −1.51016 | + | 2.34985i | ||||
\(910\) | 2.20367 | + | 9.11992i | 0.0730511 | + | 0.302323i | ||||
\(911\) | −1.32102 | + | 4.49899i | −0.0437675 | + | 0.149058i | −0.978478 | − | 0.206352i | \(-0.933841\pi\) |
0.934710 | + | 0.355411i | \(0.115659\pi\) | |||||||
\(912\) | 8.84142 | − | 11.8107i | 0.292769 | − | 0.391093i | ||||
\(913\) | 0.562912 | − | 7.87054i | 0.0186297 | − | 0.260477i | ||||
\(914\) | −1.39644 | − | 3.05778i | −0.0461902 | − | 0.101143i | ||||
\(915\) | −49.1379 | − | 17.0569i | −1.62445 | − | 0.563885i | ||||
\(916\) | −7.93267 | − | 3.62273i | −0.262103 | − | 0.119698i | ||||
\(917\) | −26.7396 | + | 20.0170i | −0.883020 | + | 0.661021i | ||||
\(918\) | 8.69512 | − | 39.9708i | 0.286982 | − | 1.31923i | ||||
\(919\) | −20.3238 | −0.670419 | −0.335209 | − | 0.942144i | \(-0.608807\pi\) | ||||
−0.335209 | + | 0.942144i | \(0.608807\pi\) | |||||||
\(920\) | −7.34933 | − | 7.80944i | −0.242300 | − | 0.257470i | ||||
\(921\) | 39.8267 | 1.31233 | ||||||||
\(922\) | −1.34495 | + | 6.18264i | −0.0442936 | + | 0.203614i | ||||
\(923\) | −3.06074 | + | 2.29124i | −0.100746 | + | 0.0754172i | ||||
\(924\) | 8.64071 | + | 3.94608i | 0.284259 | + | 0.129817i | ||||
\(925\) | −42.0376 | − | 7.14775i | −1.38219 | − | 0.235017i | ||||
\(926\) | −3.83117 | − | 8.38910i | −0.125900 | − | 0.275683i | ||||
\(927\) | 1.33820 | − | 18.7105i | 0.0439524 | − | 0.614534i | ||||
\(928\) | 4.02952 | − | 5.38281i | 0.132276 | − | 0.176699i | ||||
\(929\) | −1.13089 | + | 3.85146i | −0.0371033 | + | 0.126362i | −0.975962 | − | 0.217940i | \(-0.930066\pi\) |
0.938859 | + | 0.344302i | \(0.111884\pi\) | |||||||
\(930\) | 19.9990 | + | 12.2150i | 0.655793 | + | 0.400547i | ||||
\(931\) | −6.61891 | + | 10.2992i | −0.216926 | + | 0.337544i | ||||
\(932\) | −2.62976 | + | 0.572069i | −0.0861407 | + | 0.0187388i | ||||
\(933\) | −52.2935 | + | 3.74011i | −1.71201 | + | 0.122446i | ||||
\(934\) | 27.7465 | + | 8.14710i | 0.907892 | + | 0.266581i | ||||
\(935\) | −6.87262 | + | 13.3013i | −0.224759 | + | 0.434998i | ||||
\(936\) | 4.74010 | + | 5.47037i | 0.154935 | + | 0.178804i | ||||
\(937\) | 13.4471 | − | 36.0532i | 0.439299 | − | 1.17781i | −0.509095 | − | 0.860710i | \(-0.670020\pi\) |
0.948394 | − | 0.317095i | \(-0.102707\pi\) | |||||||
\(938\) | −36.6100 | − | 19.9906i | −1.19536 | − | 0.652715i | ||||
\(939\) | −20.7079 | + | 45.3441i | −0.675778 | + | 1.47975i | ||||
\(940\) | −2.42931 | − | 2.32057i | −0.0792352 | − | 0.0756886i | ||||
\(941\) | 15.8183 | + | 24.6137i | 0.515661 | + | 0.802384i | 0.997258 | − | 0.0740090i | \(-0.0235793\pi\) |
−0.481597 | + | 0.876393i | \(0.659943\pi\) | |||||||
\(942\) | 23.0092 | + | 23.0092i | 0.749681 | + | 0.749681i | ||||
\(943\) | 48.7610 | + | 17.1845i | 1.58788 | + | 0.559605i | ||||
\(944\) | − | 6.47153i | − | 0.210630i | ||||||
\(945\) | 30.2938 | + | 33.3854i | 0.985458 | + | 1.08603i | ||||
\(946\) | −0.483259 | + | 3.36114i | −0.0157121 | + | 0.109280i | ||||
\(947\) | −11.5918 | − | 31.0788i | −0.376683 | − | 1.00993i | −0.977574 | − | 0.210594i | \(-0.932460\pi\) |
0.600891 | − | 0.799331i | \(-0.294813\pi\) | |||||||
\(948\) | 0.314604 | − | 0.576155i | 0.0102179 | − | 0.0187126i | ||||
\(949\) | −17.0769 | + | 7.79875i | −0.554339 | + | 0.253158i | ||||
\(950\) | −24.7657 | + | 6.58762i | −0.803507 | + | 0.213731i | ||||
\(951\) | −13.1530 | − | 91.4810i | −0.426514 | − | 2.96647i | ||||
\(952\) | 16.7191 | − | 9.12932i | 0.541869 | − | 0.295883i | ||||
\(953\) | 0.245539 | + | 3.43309i | 0.00795379 | + | 0.111209i | 0.999878 | − | 0.0156240i | \(-0.00497347\pi\) |
−0.991924 | + | 0.126833i | \(0.959519\pi\) | |||||||
\(954\) | 19.8426 | + | 12.7520i | 0.642427 | + | 0.412863i | ||||
\(955\) | 14.7917 | + | 6.35014i | 0.478649 | + | 0.205486i | ||||
\(956\) | −12.2641 | + | 14.1535i | −0.396649 | + | 0.457757i | ||||
\(957\) | −9.99008 | − | 18.2955i | −0.322933 | − | 0.591408i | ||||
\(958\) | 7.91051 | + | 5.92173i | 0.255577 | + | 0.191323i | ||||
\(959\) | −19.7967 | + | 17.1540i | −0.639269 | + | 0.553930i | ||||
\(960\) | 1.22388 | − | 6.31911i | 0.0395006 | − | 0.203948i | ||||
\(961\) | 17.0256 | − | 4.99917i | 0.549213 | − | 0.161264i | ||||
\(962\) | 10.9421 | − | 4.08119i | 0.352787 | − | 0.131583i | ||||
\(963\) | −59.2933 | − | 79.2065i | −1.91070 | − | 2.55239i | ||||
\(964\) | 4.53993 | − | 2.91764i | 0.146221 | − | 0.0939707i | ||||
\(965\) | −4.49157 | + | 6.29538i | −0.144589 | + | 0.202656i | ||||
\(966\) | 40.7956 | + | 11.1778i | 1.31258 | + | 0.359641i | ||||
\(967\) | −36.6857 | + | 36.6857i | −1.17973 | + | 1.17973i | −0.199920 | + | 0.979812i | \(0.564068\pi\) |
−0.979812 | + | 0.199920i | \(0.935932\pi\) | |||||||
\(968\) | 9.61520 | + | 2.09166i | 0.309044 | + | 0.0672284i | ||||
\(969\) | −90.7875 | − | 13.0533i | −2.91652 | − | 0.419332i | ||||
\(970\) | 13.5551 | + | 3.64531i | 0.435227 | + | 0.117044i | ||||
\(971\) | 5.44131 | + | 18.5314i | 0.174620 | + | 0.594701i | 0.999565 | + | 0.0294882i | \(0.00938775\pi\) |
−0.824945 | + | 0.565213i | \(0.808794\pi\) | |||||||
\(972\) | −10.1814 | − | 3.79748i | −0.326570 | − | 0.121804i | ||||
\(973\) | −16.0274 | − | 1.14630i | −0.513815 | − | 0.0367488i | ||||
\(974\) | −0.826650 | + | 0.118854i | −0.0264876 | + | 0.00380834i | ||||
\(975\) | −0.901921 | − | 19.6883i | −0.0288846 | − | 0.630532i | ||||
\(976\) | −6.10727 | − | 5.29198i | −0.195489 | − | 0.169392i | ||||
\(977\) | 5.92089 | + | 27.2179i | 0.189426 | + | 0.870777i | 0.969500 | + | 0.245090i | \(0.0788176\pi\) |
−0.780074 | + | 0.625687i | \(0.784819\pi\) | |||||||
\(978\) | 4.63011 | + | 21.2843i | 0.148054 | + | 0.680595i | ||||
\(979\) | −8.91435 | − | 7.72433i | −0.284904 | − | 0.246871i | ||||
\(980\) | −0.638930 | + | 5.30282i | −0.0204099 | + | 0.169392i | ||||
\(981\) | −10.4847 | + | 1.50748i | −0.334751 | + | 0.0481300i | ||||
\(982\) | 10.8457 | + | 0.775698i | 0.346099 | + | 0.0247535i | ||||
\(983\) | −4.80987 | − | 1.79399i | −0.153411 | − | 0.0572193i | 0.271586 | − | 0.962414i | \(-0.412452\pi\) |
−0.424997 | + | 0.905195i | \(0.639725\pi\) | |||||||
\(984\) | 8.74250 | + | 29.7742i | 0.278701 | + | 0.949168i | ||||
\(985\) | −48.5324 | + | 27.9613i | −1.54637 | + | 0.890920i | ||||
\(986\) | −41.3769 | − | 5.94910i | −1.31771 | − | 0.189458i | ||||
\(987\) | 12.9487 | + | 2.81681i | 0.412160 | + | 0.0896600i | ||||
\(988\) | 4.96293 | − | 4.96293i | 0.157892 | − | 0.157892i | ||||
\(989\) | 0.274691 | + | 15.1184i | 0.00873466 | + | 0.480739i | ||||
\(990\) | −10.3624 | − | 7.39328i | −0.329339 | − | 0.234974i | ||||
\(991\) | −46.5181 | + | 29.8953i | −1.47769 | + | 0.949657i | −0.480331 | + | 0.877087i | \(0.659484\pi\) |
−0.997363 | + | 0.0725695i | \(0.976880\pi\) | |||||||
\(992\) | 2.18187 | + | 2.91463i | 0.0692743 | + | 0.0925396i | ||||
\(993\) | −23.0062 | + | 8.58088i | −0.730081 | + | 0.272306i | ||||
\(994\) | −8.20841 | + | 2.41021i | −0.260355 | + | 0.0764472i | ||||
\(995\) | −34.7623 | + | 23.4817i | −1.10204 | + | 0.744419i | ||||
\(996\) | 15.9383 | − | 13.8106i | 0.505025 | − | 0.437607i | ||||
\(997\) | −9.46607 | − | 7.08621i | −0.299793 | − | 0.224423i | 0.438782 | − | 0.898594i | \(-0.355410\pi\) |
−0.738575 | + | 0.674171i | \(0.764501\pi\) | |||||||
\(998\) | 16.1395 | + | 29.5572i | 0.510886 | + | 0.935617i | ||||
\(999\) | 36.7463 | − | 42.4074i | 1.16260 | − | 1.34171i |
(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 | 230.2.l.a.103.6 | yes | 240 | |
5.2 | odd | 4 | inner | 230.2.l.a.57.1 | ✓ | 240 | |
23.21 | odd | 22 | inner | 230.2.l.a.113.1 | yes | 240 | |
115.67 | even | 44 | inner | 230.2.l.a.67.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.57.1 | ✓ | 240 | 5.2 | odd | 4 | inner | |
230.2.l.a.67.6 | yes | 240 | 115.67 | even | 44 | inner | |
230.2.l.a.103.6 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.113.1 | yes | 240 | 23.21 | odd | 22 | inner |