Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(17,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.s (of order \(6\), degree \(2\), not 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Root | \(-1.04536 + 1.81062i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.17 |
Dual form | 189.2.s.b.89.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30778 | − | 0.755047i | −0.924740 | − | 0.533899i | −0.0395961 | − | 0.999216i | \(-0.512607\pi\) |
−0.885144 | + | 0.465317i | \(0.845940\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.140193 | + | 0.242822i | 0.0700966 | + | 0.121411i | ||||
\(5\) | 0.775876 | 0.346982 | 0.173491 | − | 0.984835i | \(-0.444495\pi\) | ||||
0.173491 | + | 0.984835i | \(0.444495\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.05881 | − | 1.66171i | 0.778159 | − | 0.628068i | ||||
\(8\) | 2.59678i | 0.918100i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.01468 | − | 0.585823i | −0.320869 | − | 0.185254i | ||||
\(11\) | − | 3.84319i | − | 1.15876i | −0.815056 | − | 0.579382i | \(-0.803294\pi\) | ||
0.815056 | − | 0.579382i | \(-0.196706\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.54198 | − | 1.46761i | −0.705019 | − | 0.407043i | 0.104195 | − | 0.994557i | \(-0.466773\pi\) |
−0.809214 | + | 0.587514i | \(0.800107\pi\) | |||||||
\(14\) | −3.94715 | + | 0.618650i | −1.05492 | + | 0.165341i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.24108 | − | 3.88166i | 0.560270 | − | 0.970415i | ||||
\(17\) | 2.69901 | − | 4.67482i | 0.654606 | − | 1.13381i | −0.327387 | − | 0.944890i | \(-0.606168\pi\) |
0.981993 | − | 0.188920i | \(-0.0604986\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.376551 | + | 0.217402i | −0.0863868 | + | 0.0498755i | −0.542571 | − | 0.840010i | \(-0.682549\pi\) |
0.456184 | + | 0.889885i | \(0.349216\pi\) | |||||||
\(20\) | 0.108773 | + | 0.188400i | 0.0243223 | + | 0.0421274i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.90179 | + | 5.02605i | −0.618663 | + | 1.07156i | ||||
\(23\) | 0.0557186i | 0.0116181i | 0.999983 | + | 0.00580906i | \(0.00184909\pi\) | ||||
−0.999983 | + | 0.00580906i | \(0.998151\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.39802 | −0.879603 | ||||||||
\(26\) | 2.21624 | + | 3.83863i | 0.434640 | + | 0.752818i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.692131 | + | 0.266964i | 0.130800 | + | 0.0504515i | ||||
\(29\) | 0.187994 | − | 0.108538i | 0.0349096 | − | 0.0201551i | −0.482444 | − | 0.875927i | \(-0.660251\pi\) |
0.517353 | + | 0.855772i | \(0.326917\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.67806 | − | 3.27823i | 1.01981 | − | 0.588787i | 0.105761 | − | 0.994392i | \(-0.466272\pi\) |
0.914049 | + | 0.405604i | \(0.132939\pi\) | |||||||
\(32\) | −1.36392 | + | 0.787461i | −0.241110 | + | 0.139205i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −7.05942 | + | 4.07576i | −1.21068 | + | 0.698987i | ||||
\(35\) | 1.59739 | − | 1.28928i | 0.270007 | − | 0.217928i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.14698 | + | 5.45073i | 0.517361 | + | 0.896095i | 0.999797 | + | 0.0201636i | \(0.00641872\pi\) |
−0.482436 | + | 0.875931i | \(0.660248\pi\) | |||||||
\(38\) | 0.656595 | 0.106514 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.01478i | 0.318565i | ||||||||
\(41\) | −3.78757 | + | 6.56026i | −0.591519 | + | 1.02454i | 0.402509 | + | 0.915416i | \(0.368138\pi\) |
−0.994028 | + | 0.109125i | \(0.965195\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.42703 | + | 11.1319i | 0.980112 | + | 1.69760i | 0.661914 | + | 0.749580i | \(0.269745\pi\) |
0.318198 | + | 0.948024i | \(0.396922\pi\) | |||||||
\(44\) | 0.933209 | − | 0.538789i | 0.140687 | − | 0.0812254i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0420702 | − | 0.0728677i | 0.00620291 | − | 0.0107437i | ||||
\(47\) | −0.482772 | + | 0.836186i | −0.0704195 | + | 0.121970i | −0.899085 | − | 0.437774i | \(-0.855767\pi\) |
0.828666 | + | 0.559744i | \(0.189100\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.47744 | − | 6.84231i | 0.211062 | − | 0.977473i | ||||
\(50\) | 5.75164 | + | 3.32071i | 0.813405 | + | 0.469619i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 0.822998i | − | 0.114129i | ||||||
\(53\) | 6.46438 | + | 3.73221i | 0.887950 | + | 0.512658i | 0.873272 | − | 0.487234i | \(-0.161994\pi\) |
0.0146788 | + | 0.999892i | \(0.495327\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.98184i | − | 0.402071i | ||||||
\(56\) | 4.31510 | + | 5.34629i | 0.576629 | + | 0.714428i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.327806 | −0.0430431 | ||||||||
\(59\) | 1.56219 | + | 2.70580i | 0.203380 | + | 0.352265i | 0.949615 | − | 0.313418i | \(-0.101474\pi\) |
−0.746235 | + | 0.665682i | \(0.768141\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.01744 | − | 1.74212i | −0.386343 | − | 0.223055i | 0.294231 | − | 0.955734i | \(-0.404936\pi\) |
−0.680575 | + | 0.732679i | \(0.738270\pi\) | |||||||
\(62\) | −9.90087 | −1.25741 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.58603 | −0.823254 | ||||||||
\(65\) | −1.97226 | − | 1.13869i | −0.244629 | − | 0.141237i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.10088 | + | 3.63884i | 0.256664 | + | 0.444555i | 0.965346 | − | 0.260973i | \(-0.0840433\pi\) |
−0.708682 | + | 0.705528i | \(0.750710\pi\) | |||||||
\(68\) | 1.51353 | 0.183542 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.06250 | + | 0.479996i | −0.366039 | + | 0.0573705i | ||||
\(71\) | 3.50812i | 0.416337i | 0.978093 | + | 0.208169i | \(0.0667503\pi\) | ||||
−0.978093 | + | 0.208169i | \(0.933250\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.05942 | − | 4.07576i | −0.826243 | − | 0.477031i | 0.0263219 | − | 0.999654i | \(-0.491621\pi\) |
−0.852564 | + | 0.522622i | \(0.824954\pi\) | |||||||
\(74\) | − | 9.50448i | − | 1.10487i | ||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.105580 | − | 0.0609566i | −0.0121108 | − | 0.00699220i | ||||
\(77\) | −6.38626 | − | 7.91241i | −0.727782 | − | 0.901703i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.48110 | − | 4.29739i | 0.279145 | − | 0.483494i | −0.692027 | − | 0.721871i | \(-0.743282\pi\) |
0.971173 | + | 0.238377i | \(0.0766155\pi\) | |||||||
\(80\) | 1.73880 | − | 3.01169i | 0.194404 | − | 0.336717i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.90662 | − | 5.71959i | 1.09400 | − | 0.631623i | ||||
\(83\) | 4.31033 | + | 7.46571i | 0.473120 | + | 0.819469i | 0.999527 | − | 0.0307645i | \(-0.00979420\pi\) |
−0.526406 | + | 0.850233i | \(0.676461\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.09410 | − | 3.62708i | 0.227137 | − | 0.393412i | ||||
\(86\) | − | 19.4108i | − | 2.09312i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.97991 | 1.06386 | ||||||||
\(89\) | −7.82041 | − | 13.5453i | −0.828962 | − | 1.43580i | −0.898853 | − | 0.438249i | \(-0.855599\pi\) |
0.0698916 | − | 0.997555i | \(-0.477735\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.67222 | + | 1.20249i | −0.804267 | + | 0.126055i | ||||
\(92\) | −0.0135297 | + | 0.00781136i | −0.00141057 | + | 0.000814391i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.26272 | − | 0.729031i | 0.130240 | − | 0.0751938i | ||||
\(95\) | −0.292157 | + | 0.168677i | −0.0299747 | + | 0.0173059i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.24162 | − | 0.716849i | 0.126067 | − | 0.0727850i | −0.435640 | − | 0.900121i | \(-0.643478\pi\) |
0.561708 | + | 0.827336i | \(0.310145\pi\) | |||||||
\(98\) | −7.09843 | + | 7.83270i | −0.717050 | + | 0.791222i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.616572 | − | 1.06793i | −0.0616572 | − | 0.106793i | ||||
\(101\) | −16.0219 | −1.59424 | −0.797120 | − | 0.603821i | \(-0.793644\pi\) | ||||
−0.797120 | + | 0.603821i | \(0.793644\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 16.8660i | 1.66186i | 0.556381 | + | 0.830928i | \(0.312190\pi\) | ||||
−0.556381 | + | 0.830928i | \(0.687810\pi\) | |||||||
\(104\) | 3.81107 | − | 6.60097i | 0.373706 | − | 0.647278i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.63599 | − | 9.76182i | −0.547416 | − | 0.948152i | ||||
\(107\) | 3.36444 | − | 1.94246i | 0.325253 | − | 0.187785i | −0.328479 | − | 0.944511i | \(-0.606536\pi\) |
0.653731 | + | 0.756727i | \(0.273203\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.28254 | − | 2.22143i | 0.122845 | − | 0.212774i | −0.798043 | − | 0.602600i | \(-0.794131\pi\) |
0.920889 | + | 0.389826i | \(0.127465\pi\) | |||||||
\(110\) | −2.25143 | + | 3.89959i | −0.214665 | + | 0.371811i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.83623 | − | 11.7156i | −0.173508 | − | 1.10702i | ||||
\(113\) | 9.79043 | + | 5.65251i | 0.921006 | + | 0.531743i | 0.883956 | − | 0.467570i | \(-0.154871\pi\) |
0.0370501 | + | 0.999313i | \(0.488204\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0432307i | 0.00403129i | ||||||||
\(116\) | 0.0527109 | + | 0.0304327i | 0.00489408 | + | 0.00282560i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 4.71812i | − | 0.434338i | ||||||
\(119\) | −2.21144 | − | 14.1096i | −0.202722 | − | 1.29342i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.77009 | −0.342735 | ||||||||
\(122\) | 2.63076 | + | 4.55662i | 0.238178 | + | 0.412537i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.59205 | + | 0.919171i | 0.142970 | + | 0.0825440i | ||||
\(125\) | −7.29170 | −0.652189 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.65660 | 0.235735 | 0.117867 | − | 0.993029i | \(-0.462394\pi\) | ||||
0.117867 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(128\) | 11.3409 | + | 6.54769i | 1.00241 | + | 0.578739i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.71953 | + | 2.97830i | 0.150812 | + | 0.261215i | ||||
\(131\) | 8.23623 | 0.719602 | 0.359801 | − | 0.933029i | \(-0.382845\pi\) | ||||
0.359801 | + | 0.933029i | \(0.382845\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.413990 | + | 1.07331i | −0.0358975 | + | 0.0930678i | ||||
\(134\) | − | 6.34507i | − | 0.548131i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.1395 | + | 7.00873i | 1.04095 | + | 0.600994i | ||||
\(137\) | 17.3272i | 1.48036i | 0.672408 | + | 0.740180i | \(0.265260\pi\) | ||||
−0.672408 | + | 0.740180i | \(0.734740\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.47677 | − | 3.16201i | −0.464533 | − | 0.268198i | 0.249415 | − | 0.968397i | \(-0.419762\pi\) |
−0.713949 | + | 0.700198i | \(0.753095\pi\) | |||||||
\(140\) | 0.537008 | + | 0.207131i | 0.0453855 | + | 0.0175058i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.64880 | − | 4.58785i | 0.222282 | − | 0.385004i | ||||
\(143\) | −5.64031 | + | 9.76931i | −0.471667 | + | 0.816951i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.145860 | − | 0.0842123i | 0.0121130 | − | 0.00699345i | ||||
\(146\) | 6.15478 | + | 10.6604i | 0.509373 | + | 0.882260i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.882370 | + | 1.52831i | −0.0725304 | + | 0.125626i | ||||
\(149\) | 12.8242i | 1.05060i | 0.850917 | + | 0.525300i | \(0.176047\pi\) | ||||
−0.850917 | + | 0.525300i | \(0.823953\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.25517 | 0.427660 | 0.213830 | − | 0.976871i | \(-0.431406\pi\) | ||||
0.213830 | + | 0.976871i | \(0.431406\pi\) | |||||||
\(152\) | −0.564545 | − | 0.977821i | −0.0457907 | − | 0.0793118i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.37759 | + | 15.1696i | 0.191591 | + | 1.22240i | ||||
\(155\) | 4.40547 | − | 2.54350i | 0.353856 | − | 0.204299i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.91794 | + | 3.99407i | −0.552111 | + | 0.318762i | −0.749973 | − | 0.661468i | \(-0.769934\pi\) |
0.197862 | + | 0.980230i | \(0.436600\pi\) | |||||||
\(158\) | −6.48946 | + | 3.74669i | −0.516274 | + | 0.298071i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.05823 | + | 0.610972i | −0.0836608 | + | 0.0483016i | ||||
\(161\) | 0.0925881 | + | 0.114714i | 0.00729697 | + | 0.00904075i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.75231 | + | 9.96329i | 0.450556 | + | 0.780385i | 0.998421 | − | 0.0561817i | \(-0.0178926\pi\) |
−0.547865 | + | 0.836567i | \(0.684559\pi\) | |||||||
\(164\) | −2.12397 | −0.165854 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 13.0180i | − | 1.01039i | ||||||
\(167\) | 8.38240 | − | 14.5187i | 0.648650 | − | 1.12349i | −0.334796 | − | 0.942291i | \(-0.608667\pi\) |
0.983446 | − | 0.181204i | \(-0.0579994\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.19222 | − | 3.79704i | −0.168632 | − | 0.292080i | ||||
\(170\) | −5.47724 | + | 3.16228i | −0.420085 | + | 0.242536i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.80205 | + | 3.12124i | −0.137405 | + | 0.237992i | ||||
\(173\) | −0.856396 | + | 1.48332i | −0.0651106 | + | 0.112775i | −0.896743 | − | 0.442552i | \(-0.854073\pi\) |
0.831632 | + | 0.555326i | \(0.187407\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.05470 | + | 7.30823i | −0.684471 | + | 0.552450i | ||||
\(176\) | −14.9180 | − | 8.61288i | −1.12448 | − | 0.649220i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 23.6191i | 1.77033i | ||||||||
\(179\) | 12.4141 | + | 7.16731i | 0.927877 | + | 0.535710i | 0.886139 | − | 0.463419i | \(-0.153377\pi\) |
0.0417372 | + | 0.999129i | \(0.486711\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.83147i | 0.359121i | 0.983747 | + | 0.179560i | \(0.0574675\pi\) | ||||
−0.983747 | + | 0.179560i | \(0.942532\pi\) | |||||||
\(182\) | 10.9415 | + | 4.22029i | 0.811039 | + | 0.312829i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.144689 | −0.0106666 | ||||||||
\(185\) | 2.44167 | + | 4.22909i | 0.179515 | + | 0.310929i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.9662 | − | 10.3728i | −1.31382 | − | 0.758534i | ||||
\(188\) | −0.270725 | −0.0197447 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.509437 | 0.0369584 | ||||||||
\(191\) | 2.72114 | + | 1.57105i | 0.196895 | + | 0.113677i | 0.595206 | − | 0.803573i | \(-0.297070\pi\) |
−0.398311 | + | 0.917250i | \(0.630404\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.00508 | − | 5.20496i | −0.216311 | − | 0.374661i | 0.737367 | − | 0.675493i | \(-0.236069\pi\) |
−0.953677 | + | 0.300832i | \(0.902736\pi\) | |||||||
\(194\) | −2.16502 | −0.155439 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.86859 | − | 0.600491i | 0.133471 | − | 0.0428922i | ||||
\(197\) | − | 14.0902i | − | 1.00388i | −0.864901 | − | 0.501942i | \(-0.832619\pi\) | ||
0.864901 | − | 0.501942i | \(-0.167381\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.84234 | − | 3.95043i | −0.485041 | − | 0.280038i | 0.237474 | − | 0.971394i | \(-0.423681\pi\) |
−0.722515 | + | 0.691355i | \(0.757014\pi\) | |||||||
\(200\) | − | 11.4207i | − | 0.807564i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 20.9531 | + | 12.0973i | 1.47426 | + | 0.851163i | ||||
\(203\) | 0.206685 | − | 0.535852i | 0.0145065 | − | 0.0376094i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.93869 | + | 5.08995i | −0.205247 | + | 0.355498i | ||||
\(206\) | 12.7346 | − | 22.0570i | 0.887263 | − | 1.53678i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −11.3936 | + | 6.57807i | −0.790001 | + | 0.456107i | ||||
\(209\) | 0.835517 | + | 1.44716i | 0.0577939 | + | 0.100102i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.57821 | − | 4.46559i | 0.177491 | − | 0.307424i | −0.763529 | − | 0.645773i | \(-0.776535\pi\) |
0.941021 | + | 0.338349i | \(0.109868\pi\) | |||||||
\(212\) | 2.09292i | 0.143742i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.86660 | −0.401032 | ||||||||
\(215\) | 4.98658 | + | 8.63701i | 0.340082 | + | 0.589039i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.24261 | − | 16.1846i | 0.423776 | − | 1.09868i | ||||
\(218\) | −3.35457 | + | 1.93676i | −0.227200 | + | 0.131174i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.724055 | − | 0.418033i | 0.0488158 | − | 0.0281838i | ||||
\(221\) | −13.7217 | + | 7.92220i | −0.923019 | + | 0.532905i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.79823 | − | 2.19291i | 0.254348 | − | 0.146848i | −0.367405 | − | 0.930061i | \(-0.619754\pi\) |
0.621754 | + | 0.783213i | \(0.286420\pi\) | |||||||
\(224\) | −1.49953 | + | 3.88768i | −0.100192 | + | 0.259756i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.53582 | − | 14.7845i | −0.567794 | − | 0.983449i | ||||
\(227\) | −9.67394 | −0.642082 | −0.321041 | − | 0.947065i | \(-0.604033\pi\) | ||||
−0.321041 | + | 0.947065i | \(0.604033\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 8.85314i | − | 0.585032i | −0.956261 | − | 0.292516i | \(-0.905508\pi\) | ||
0.956261 | − | 0.292516i | \(-0.0944925\pi\) | |||||||
\(230\) | 0.0326412 | − | 0.0565363i | 0.00215230 | − | 0.00372789i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.281850 | + | 0.488179i | 0.0185044 | + | 0.0320505i | ||||
\(233\) | −11.1612 | + | 6.44391i | −0.731194 | + | 0.422155i | −0.818859 | − | 0.573995i | \(-0.805393\pi\) |
0.0876651 | + | 0.996150i | \(0.472059\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.374571 | + | 0.648777i | −0.0244343 | + | 0.0423215i | ||||
\(236\) | −0.438017 | + | 0.758668i | −0.0285125 | + | 0.0493851i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −7.76131 | + | 20.1219i | −0.503091 | + | 1.30431i | ||||
\(239\) | −4.18421 | − | 2.41575i | −0.270654 | − | 0.156262i | 0.358531 | − | 0.933518i | \(-0.383278\pi\) |
−0.629185 | + | 0.777256i | \(0.716611\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 10.0336i | − | 0.646323i | −0.946344 | − | 0.323161i | \(-0.895254\pi\) | ||
0.946344 | − | 0.323161i | \(-0.104746\pi\) | |||||||
\(242\) | 4.93045 | + | 2.84659i | 0.316941 | + | 0.182986i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 0.976932i | − | 0.0625417i | ||||||
\(245\) | 1.14631 | − | 5.30879i | 0.0732349 | − | 0.339166i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.27625 | 0.0812058 | ||||||||
\(248\) | 8.51284 | + | 14.7447i | 0.540566 | + | 0.936288i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.53594 | + | 5.50558i | 0.603106 | + | 0.348203i | ||||
\(251\) | 7.98203 | 0.503821 | 0.251911 | − | 0.967751i | \(-0.418941\pi\) | ||||
0.251911 | + | 0.967751i | \(0.418941\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.214137 | 0.0134627 | ||||||||
\(254\) | −3.47424 | − | 2.00586i | −0.217993 | − | 0.125859i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.30160 | − | 5.71853i | −0.206350 | − | 0.357408i | ||||
\(257\) | 2.68230 | 0.167317 | 0.0836585 | − | 0.996494i | \(-0.473340\pi\) | ||||
0.0836585 | + | 0.996494i | \(0.473340\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.5366 | + | 5.99267i | 0.965397 | + | 0.372367i | ||||
\(260\) | − | 0.638544i | − | 0.0396008i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.7712 | − | 6.21874i | −0.665445 | − | 0.384195i | ||||
\(263\) | − | 23.4359i | − | 1.44512i | −0.691309 | − | 0.722560i | \(-0.742966\pi\) | ||
0.691309 | − | 0.722560i | \(-0.257034\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.01556 | + | 2.89573i | 0.308103 | + | 0.177883i | ||||
\(266\) | 1.35181 | − | 1.09107i | 0.0828847 | − | 0.0668979i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.589059 | + | 1.02028i | −0.0359825 | + | 0.0623236i | ||||
\(269\) | 1.98955 | − | 3.44600i | 0.121305 | − | 0.210106i | −0.798978 | − | 0.601361i | \(-0.794625\pi\) |
0.920283 | + | 0.391254i | \(0.127959\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.8303 | − | 6.25288i | 0.657895 | − | 0.379836i | −0.133580 | − | 0.991038i | \(-0.542647\pi\) |
0.791474 | + | 0.611202i | \(0.209314\pi\) | |||||||
\(272\) | −12.0974 | − | 20.9533i | −0.733511 | − | 1.27048i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.0828 | − | 22.6601i | 0.790363 | − | 1.36895i | ||||
\(275\) | 16.9024i | 1.01925i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −19.6909 | −1.18311 | −0.591557 | − | 0.806263i | \(-0.701487\pi\) | ||||
−0.591557 | + | 0.806263i | \(0.701487\pi\) | |||||||
\(278\) | 4.77494 | + | 8.27044i | 0.286382 | + | 0.496028i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.34798 | + | 4.14806i | 0.200080 | + | 0.247894i | ||||
\(281\) | −7.03456 | + | 4.06141i | −0.419647 | + | 0.242283i | −0.694926 | − | 0.719081i | \(-0.744563\pi\) |
0.275279 | + | 0.961364i | \(0.411230\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.16390 | − | 0.671978i | 0.0691867 | − | 0.0399450i | −0.465008 | − | 0.885307i | \(-0.653948\pi\) |
0.534194 | + | 0.845362i | \(0.320615\pi\) | |||||||
\(284\) | −0.851847 | + | 0.491814i | −0.0505478 | + | 0.0291838i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 14.7526 | − | 8.51741i | 0.872339 | − | 0.503645i | ||||
\(287\) | 3.10335 | + | 19.8002i | 0.183185 | + | 1.16877i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.06929 | − | 10.5123i | −0.357017 | − | 0.618371i | ||||
\(290\) | −0.254337 | −0.0149352 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 2.28557i | − | 0.133753i | ||||||
\(293\) | 10.6300 | − | 18.4117i | 0.621012 | − | 1.07562i | −0.368285 | − | 0.929713i | \(-0.620055\pi\) |
0.989298 | − | 0.145912i | \(-0.0466116\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.21207 | + | 2.09936i | 0.0705693 | + | 0.122230i | ||||
\(296\) | −14.1543 | + | 8.17202i | −0.822705 | + | 0.474989i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.68289 | − | 16.7713i | 0.560915 | − | 0.971533i | ||||
\(299\) | 0.0817733 | − | 0.141636i | 0.00472907 | − | 0.00819100i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 31.7301 | + | 12.2387i | 1.82889 | + | 0.705429i | ||||
\(302\) | −6.87261 | − | 3.96790i | −0.395474 | − | 0.228327i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.94886i | 0.111775i | ||||||||
\(305\) | −2.34116 | − | 1.35167i | −0.134054 | − | 0.0773963i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.2098i | 0.753925i | 0.926229 | + | 0.376962i | \(0.123031\pi\) | ||||
−0.926229 | + | 0.376962i | \(0.876969\pi\) | |||||||
\(308\) | 1.02599 | − | 2.65999i | 0.0584614 | − | 0.151567i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.68185 | −0.436300 | ||||||||
\(311\) | −10.2687 | − | 17.7859i | −0.582283 | − | 1.00854i | −0.995208 | − | 0.0977785i | \(-0.968826\pi\) |
0.412925 | − | 0.910765i | \(-0.364507\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.2976 | + | 8.25471i | 0.808147 | + | 0.466584i | 0.846312 | − | 0.532688i | \(-0.178818\pi\) |
−0.0381649 | + | 0.999271i | \(0.512151\pi\) | |||||||
\(314\) | 12.0629 | 0.680746 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.39133 | 0.0782685 | ||||||||
\(317\) | −8.11112 | − | 4.68296i | −0.455566 | − | 0.263021i | 0.254612 | − | 0.967043i | \(-0.418052\pi\) |
−0.710178 | + | 0.704022i | \(0.751386\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.417133 | − | 0.722496i | −0.0233550 | − | 0.0404520i | ||||
\(320\) | −5.10995 | −0.285655 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0344703 | − | 0.219929i | −0.00192095 | − | 0.0122562i | ||||
\(323\) | 2.34708i | 0.130595i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.1797 | + | 6.45459i | 0.620137 | + | 0.358036i | ||||
\(326\) | − | 17.3731i | − | 0.962205i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.0356 | − | 9.83548i | −0.940631 | − | 0.543074i | ||||
\(329\) | 0.395560 | + | 2.52378i | 0.0218079 | + | 0.139140i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.4220 | + | 24.9796i | −0.792702 | + | 1.37300i | 0.131586 | + | 0.991305i | \(0.457993\pi\) |
−0.924288 | + | 0.381696i | \(0.875340\pi\) | |||||||
\(332\) | −1.20856 | + | 2.09328i | −0.0663282 | + | 0.114884i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.9247 | + | 12.6582i | −1.19967 | + | 0.692627i | ||||
\(335\) | 1.63003 | + | 2.82329i | 0.0890579 | + | 0.154253i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.26205 | + | 10.8462i | −0.341116 | + | 0.590829i | −0.984640 | − | 0.174596i | \(-0.944138\pi\) |
0.643525 | + | 0.765425i | \(0.277471\pi\) | |||||||
\(338\) | 6.62092i | 0.360130i | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.17431 | 0.0636860 | ||||||||
\(341\) | −12.5988 | − | 21.8218i | −0.682266 | − | 1.18172i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.32817 | − | 16.5421i | −0.449679 | − | 0.893190i | ||||
\(344\) | −28.9072 | + | 16.6896i | −1.55857 | + | 0.899841i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.23996 | − | 1.29324i | 0.120421 | − | 0.0695250i | ||||
\(347\) | −24.8740 | + | 14.3610i | −1.33531 | + | 0.770939i | −0.986107 | − | 0.166109i | \(-0.946880\pi\) |
−0.349199 | + | 0.937049i | \(0.613546\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.0854 | − | 6.40017i | 0.593389 | − | 0.342593i | −0.173048 | − | 0.984913i | \(-0.555361\pi\) |
0.766436 | + | 0.642320i | \(0.222028\pi\) | |||||||
\(350\) | 17.3596 | − | 2.72083i | 0.927911 | − | 0.145435i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.02636 | + | 5.24181i | 0.161305 | + | 0.279389i | ||||
\(353\) | 26.9982 | 1.43697 | 0.718485 | − | 0.695542i | \(-0.244836\pi\) | ||||
0.718485 | + | 0.695542i | \(0.244836\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.72187i | 0.144462i | ||||||||
\(356\) | 2.19274 | − | 3.79793i | 0.116215 | − | 0.201290i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.8233 | − | 18.7465i | −0.572030 | − | 0.990785i | ||||
\(359\) | 24.2669 | − | 14.0105i | 1.28076 | − | 0.739445i | 0.303770 | − | 0.952745i | \(-0.401755\pi\) |
0.976987 | + | 0.213300i | \(0.0684212\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.40547 | + | 16.2908i | −0.495025 | + | 0.857408i | ||||
\(362\) | 3.64799 | − | 6.31851i | 0.191734 | − | 0.332093i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.36758 | − | 1.69440i | −0.0716809 | − | 0.0888107i | ||||
\(365\) | −5.47724 | − | 3.16228i | −0.286692 | − | 0.165522i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 33.4382i | − | 1.74546i | −0.488202 | − | 0.872731i | \(-0.662347\pi\) | ||
0.488202 | − | 0.872731i | \(-0.337653\pi\) | |||||||
\(368\) | 0.216281 | + | 0.124870i | 0.0112744 | + | 0.00650928i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 7.37430i | − | 0.383372i | ||||||
\(371\) | 19.5108 | − | 3.05799i | 1.01295 | − | 0.158763i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.96805 | −0.412570 | −0.206285 | − | 0.978492i | \(-0.566137\pi\) | ||||
−0.206285 | + | 0.978492i | \(0.566137\pi\) | |||||||
\(374\) | 15.6639 | + | 27.1307i | 0.809961 | + | 1.40289i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.17139 | − | 1.25365i | −0.111981 | − | 0.0646522i | ||||
\(377\) | −0.637169 | −0.0328159 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.88714 | 0.199669 | 0.0998345 | − | 0.995004i | \(-0.468169\pi\) | ||||
0.0998345 | + | 0.995004i | \(0.468169\pi\) | |||||||
\(380\) | −0.0819169 | − | 0.0472948i | −0.00420225 | − | 0.00242617i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.37244 | − | 4.10918i | −0.121384 | − | 0.210244i | ||||
\(383\) | −12.6830 | −0.648071 | −0.324036 | − | 0.946045i | \(-0.605040\pi\) | ||||
−0.324036 | + | 0.946045i | \(0.605040\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.95495 | − | 6.13905i | −0.252528 | − | 0.312875i | ||||
\(386\) | 9.07592i | 0.461952i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.348133 | + | 0.200995i | 0.0176738 | + | 0.0102040i | ||||
\(389\) | 20.5614i | 1.04250i | 0.853403 | + | 0.521252i | \(0.174535\pi\) | ||||
−0.853403 | + | 0.521252i | \(0.825465\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.260474 | + | 0.150385i | 0.0131727 | + | 0.00760529i | ||||
\(392\) | 17.7680 | + | 3.83658i | 0.897418 | + | 0.193776i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.6388 | + | 18.4269i | −0.535973 | + | 0.928332i | ||||
\(395\) | 1.92503 | − | 3.33424i | 0.0968586 | − | 0.167764i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.9646 | − | 7.48513i | 0.650676 | − | 0.375668i | −0.138039 | − | 0.990427i | \(-0.544080\pi\) |
0.788715 | + | 0.614759i | \(0.210747\pi\) | |||||||
\(398\) | 5.96552 | + | 10.3326i | 0.299025 | + | 0.517926i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.85630 | + | 17.0716i | −0.492815 | + | 0.853580i | ||||
\(401\) | − | 10.3164i | − | 0.515178i | −0.966255 | − | 0.257589i | \(-0.917072\pi\) | ||
0.966255 | − | 0.257589i | \(-0.0829280\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.2447 | −0.958647 | ||||||||
\(404\) | −2.24616 | − | 3.89047i | −0.111751 | − | 0.193558i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.674892 | + | 0.544719i | −0.0334943 | + | 0.0270340i | ||||
\(407\) | 20.9482 | − | 12.0944i | 1.03836 | − | 0.599499i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.0387 | + | 9.25995i | −0.793063 | + | 0.457875i | −0.841040 | − | 0.540973i | \(-0.818056\pi\) |
0.0479769 | + | 0.998848i | \(0.484723\pi\) | |||||||
\(410\) | 7.68631 | − | 4.43769i | 0.379600 | − | 0.219162i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.09543 | + | 2.36450i | −0.201767 | + | 0.116490i | ||||
\(413\) | 7.71252 | + | 2.97482i | 0.379508 | + | 0.146381i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.34429 | + | 5.79247i | 0.164165 | + | 0.284341i | ||||
\(416\) | 4.62275 | 0.226649 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 2.52342i | − | 0.123424i | ||||||
\(419\) | −6.37677 | + | 11.0449i | −0.311526 | + | 0.539578i | −0.978693 | − | 0.205330i | \(-0.934173\pi\) |
0.667167 | + | 0.744908i | \(0.267507\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.78793 | + | 11.7570i | 0.330824 | + | 0.573003i | 0.982674 | − | 0.185345i | \(-0.0593402\pi\) |
−0.651850 | + | 0.758348i | \(0.726007\pi\) | |||||||
\(422\) | −6.74347 | + | 3.89334i | −0.328267 | + | 0.189525i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.69173 | + | 16.7866i | −0.470672 | + | 0.815227i | ||||
\(425\) | −11.8703 | + | 20.5599i | −0.575793 | + | 0.997303i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.10724 | + | 1.42741i | −0.440730 | + | 0.0690772i | ||||
\(428\) | 0.943342 | + | 0.544639i | 0.0455982 | + | 0.0263261i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 15.0604i | − | 0.726277i | ||||||
\(431\) | −31.3069 | − | 18.0750i | −1.50800 | − | 0.870643i | −0.999957 | − | 0.00931038i | \(-0.997036\pi\) |
−0.508041 | − | 0.861333i | \(-0.669630\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 33.0085i | 1.58629i | 0.609034 | + | 0.793144i | \(0.291557\pi\) | ||||
−0.609034 | + | 0.793144i | \(0.708443\pi\) | |||||||
\(434\) | −20.3841 | + | 16.4524i | −0.978466 | + | 0.789740i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.719215 | 0.0344442 | ||||||||
\(437\) | −0.0121133 | − | 0.0209809i | −0.000579459 | − | 0.00100365i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.4673 | + | 15.2809i | 1.26321 | + | 0.729317i | 0.973695 | − | 0.227856i | \(-0.0731714\pi\) |
0.289519 | + | 0.957172i | \(0.406505\pi\) | |||||||
\(440\) | 7.74318 | 0.369141 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.9266 | 1.13807 | ||||||||
\(443\) | 17.9290 | + | 10.3513i | 0.851833 | + | 0.491806i | 0.861269 | − | 0.508150i | \(-0.169670\pi\) |
−0.00943615 | + | 0.999955i | \(0.503004\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.06767 | − | 10.5095i | −0.287635 | − | 0.498199i | ||||
\(446\) | −6.62300 | −0.313608 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −13.5594 | + | 10.9441i | −0.640622 | + | 0.517059i | ||||
\(449\) | 6.40243i | 0.302150i | 0.988522 | + | 0.151075i | \(0.0482734\pi\) | ||||
−0.988522 | + | 0.151075i | \(0.951727\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 25.2123 | + | 14.5563i | 1.18720 | + | 0.685431i | ||||
\(452\) | 3.16977i | 0.149093i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.6514 | + | 7.30428i | 0.593759 | + | 0.342807i | ||||
\(455\) | −5.95269 | + | 0.932986i | −0.279067 | + | 0.0437390i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.57340 | − | 2.72521i | 0.0736007 | − | 0.127480i | −0.826876 | − | 0.562384i | \(-0.809884\pi\) |
0.900477 | + | 0.434904i | \(0.143218\pi\) | |||||||
\(458\) | −6.68454 | + | 11.5780i | −0.312348 | + | 0.541003i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.0104974 | + | 0.00606065i | −0.000489442 | + | 0.000282579i | ||||
\(461\) | −7.44225 | − | 12.8904i | −0.346620 | − | 0.600364i | 0.639026 | − | 0.769185i | \(-0.279337\pi\) |
−0.985647 | + | 0.168821i | \(0.946004\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.3616 | − | 23.1429i | 0.620964 | − | 1.07554i | −0.368342 | − | 0.929690i | \(-0.620075\pi\) |
0.989307 | − | 0.145851i | \(-0.0465921\pi\) | |||||||
\(464\) | − | 0.972971i | − | 0.0451691i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.4618 | 0.901552 | ||||||||
\(467\) | 12.3967 | + | 21.4717i | 0.573650 | + | 0.993591i | 0.996187 | + | 0.0872454i | \(0.0278064\pi\) |
−0.422537 | + | 0.906346i | \(0.638860\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.3720 | + | 4.00063i | 0.478936 | + | 0.184732i | ||||
\(470\) | 0.979714 | − | 0.565638i | 0.0451908 | − | 0.0260909i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.02636 | + | 4.05667i | −0.323414 | + | 0.186723i | ||||
\(473\) | 42.7821 | − | 24.7003i | 1.96712 | − | 1.13572i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.65608 | − | 0.956138i | 0.0759861 | − | 0.0438706i | ||||
\(476\) | 3.11608 | − | 2.51505i | 0.142825 | − | 0.115277i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.64801 | + | 6.31855i | 0.166856 | + | 0.289004i | ||||
\(479\) | −12.5271 | −0.572377 | −0.286189 | − | 0.958173i | \(-0.592388\pi\) | ||||
−0.286189 | + | 0.958173i | \(0.592388\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 18.4742i | − | 0.842352i | ||||||
\(482\) | −7.57587 | + | 13.1218i | −0.345071 | + | 0.597681i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.528540 | − | 0.915459i | −0.0240246 | − | 0.0416118i | ||||
\(485\) | 0.963343 | − | 0.556187i | 0.0437432 | − | 0.0252551i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.69748 | − | 2.94012i | 0.0769202 | − | 0.133230i | −0.824999 | − | 0.565133i | \(-0.808825\pi\) |
0.901920 | + | 0.431904i | \(0.142158\pi\) | |||||||
\(488\) | 4.52390 | − | 7.83562i | 0.204787 | − | 0.354702i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.50750 | + | 6.07721i | −0.248804 | + | 0.274540i | ||||
\(491\) | −0.780171 | − | 0.450432i | −0.0352086 | − | 0.0203277i | 0.482292 | − | 0.876010i | \(-0.339804\pi\) |
−0.517501 | + | 0.855683i | \(0.673138\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 1.17178i | − | 0.0527745i | ||||||
\(494\) | −1.66905 | − | 0.963629i | −0.0750943 | − | 0.0433557i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 29.3871i | − | 1.31952i | ||||||
\(497\) | 5.82948 | + | 7.22257i | 0.261488 | + | 0.323976i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.8688 | 0.978984 | 0.489492 | − | 0.872008i | \(-0.337182\pi\) | ||||
0.489492 | + | 0.872008i | \(0.337182\pi\) | |||||||
\(500\) | −1.02225 | − | 1.77058i | −0.0457162 | − | 0.0791829i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.4387 | − | 6.02681i | −0.465904 | − | 0.268990i | ||||
\(503\) | −42.9876 | −1.91672 | −0.958362 | − | 0.285557i | \(-0.907821\pi\) | ||||
−0.958362 | + | 0.285557i | \(0.907821\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4310 | −0.553173 | ||||||||
\(506\) | −0.280044 | − | 0.161684i | −0.0124495 | − | 0.00718771i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.372436 | + | 0.645079i | 0.0165242 | + | 0.0286207i | ||||
\(509\) | 30.0832 | 1.33342 | 0.666708 | − | 0.745319i | \(-0.267703\pi\) | ||||
0.666708 | + | 0.745319i | \(0.267703\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −21.3068 | + | 3.33948i | −0.942556 | + | 0.147730i | ||||
\(512\) | − | 16.2193i | − | 0.716799i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.50785 | − | 2.02526i | −0.154725 | − | 0.0893304i | ||||
\(515\) | 13.0859i | 0.576635i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.21362 | + | 1.85538i | 0.141335 | + | 0.0815997i | ||||
\(518\) | −15.7937 | − | 19.5680i | −0.693935 | − | 0.859767i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.95692 | − | 5.12153i | 0.129669 | − | 0.224594i | ||||
\(521\) | −6.00837 | + | 10.4068i | −0.263231 | + | 0.455930i | −0.967099 | − | 0.254401i | \(-0.918122\pi\) |
0.703867 | + | 0.710331i | \(0.251455\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.1185 | + | 9.30602i | −0.704813 | + | 0.406924i | −0.809137 | − | 0.587620i | \(-0.800065\pi\) |
0.104325 | + | 0.994543i | \(0.466732\pi\) | |||||||
\(524\) | 1.15466 | + | 1.99993i | 0.0504417 | + | 0.0873675i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.6952 | + | 30.6490i | −0.771548 | + | 1.33636i | ||||
\(527\) | − | 35.3919i | − | 1.54169i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9969 | 0.999865 | ||||||||
\(530\) | −4.37283 | − | 7.57397i | −0.189944 | − | 0.328992i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.318662 | + | 0.0499449i | −0.0138157 | + | 0.00216539i | ||||
\(533\) | 19.2559 | − | 11.1174i | 0.834064 | − | 0.481547i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.61039 | − | 1.50711i | 0.112857 | − | 0.0651580i | ||||
\(536\) | −9.44926 | + | 5.45554i | −0.408146 | + | 0.235643i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.20379 | + | 3.00441i | −0.224351 | + | 0.129529i | ||||
\(539\) | −26.2963 | − | 5.67806i | −1.13266 | − | 0.244572i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.1242 | − | 36.5882i | −0.908201 | − | 1.57305i | −0.816562 | − | 0.577258i | \(-0.804123\pi\) |
−0.0916391 | − | 0.995792i | \(-0.529211\pi\) | |||||||
\(542\) | −18.8849 | −0.811176 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.50145i | 0.364497i | ||||||||
\(545\) | 0.995095 | − | 1.72356i | 0.0426252 | − | 0.0738290i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.92349 | − | 11.9918i | −0.296027 | − | 0.512734i | 0.679196 | − | 0.733957i | \(-0.262329\pi\) |
−0.975223 | + | 0.221223i | \(0.928995\pi\) | |||||||
\(548\) | −4.20741 | + | 2.42915i | −0.179732 | + | 0.103768i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 12.7621 | − | 22.1046i | 0.544178 | − | 0.942544i | ||||
\(551\) | −0.0471929 | + | 0.0817405i | −0.00201049 | + | 0.00348226i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.03289 | − | 12.9704i | −0.0864474 | − | 0.551557i | ||||
\(554\) | 25.7514 | + | 14.8676i | 1.09407 | + | 0.631664i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 1.77317i | − | 0.0751992i | ||||||
\(557\) | 27.2305 | + | 15.7215i | 1.15379 | + | 0.666143i | 0.949809 | − | 0.312831i | \(-0.101277\pi\) |
0.203985 | + | 0.978974i | \(0.434611\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 37.7296i | − | 1.59579i | ||||||
\(560\) | −1.42469 | − | 9.08989i | −0.0602041 | − | 0.384118i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.2662 | 0.517419 | ||||||||
\(563\) | −17.0829 | − | 29.5884i | −0.719956 | − | 1.24700i | −0.961017 | − | 0.276491i | \(-0.910828\pi\) |
0.241060 | − | 0.970510i | \(-0.422505\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.59616 | + | 4.38565i | 0.319573 | + | 0.184506i | ||||
\(566\) | −2.02950 | −0.0853063 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.10981 | −0.382239 | ||||||||
\(569\) | −19.6652 | − | 11.3537i | −0.824407 | − | 0.475972i | 0.0275266 | − | 0.999621i | \(-0.491237\pi\) |
−0.851934 | + | 0.523649i | \(0.824570\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.29931 | + | 9.17867i | 0.221769 | + | 0.384116i | 0.955345 | − | 0.295492i | \(-0.0954835\pi\) |
−0.733576 | + | 0.679607i | \(0.762150\pi\) | |||||||
\(572\) | −3.16293 | −0.132249 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.8916 | − | 28.2375i | 0.454606 | − | 1.17861i | ||||
\(575\) | − | 0.245051i | − | 0.0102193i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.6222 | − | 7.28745i | −0.525471 | − | 0.303381i | 0.213699 | − | 0.976899i | \(-0.431449\pi\) |
−0.739170 | + | 0.673519i | \(0.764782\pi\) | |||||||
\(578\) | 18.3304i | 0.762444i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0408971 | + | 0.0236120i | 0.00169816 | + | 0.000980434i | ||||
\(581\) | 21.2800 | + | 8.20800i | 0.882845 | + | 0.340525i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.3436 | − | 24.8438i | 0.594050 | − | 1.02893i | ||||
\(584\) | 10.5838 | − | 18.3318i | 0.437963 | − | 0.758574i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −27.8035 | + | 16.0523i | −1.14855 | + | 0.663116i | ||||
\(587\) | 15.0927 | + | 26.1414i | 0.622944 | + | 1.07897i | 0.988935 | + | 0.148352i | \(0.0473969\pi\) |
−0.365991 | + | 0.930619i | \(0.619270\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.42539 | + | 2.46884i | −0.0587321 | + | 0.101727i | ||||
\(590\) | − | 3.66068i | − | 0.150708i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 28.2105 | 1.15945 | ||||||||
\(593\) | −15.2911 | − | 26.4850i | −0.627930 | − | 1.08761i | −0.987966 | − | 0.154669i | \(-0.950569\pi\) |
0.360036 | − | 0.932938i | \(-0.382764\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.71580 | − | 10.9473i | −0.0703411 | − | 0.448794i | ||||
\(596\) | −3.11400 | + | 1.79787i | −0.127554 | + | 0.0736435i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.213883 | + | 0.123485i | −0.00874633 | + | 0.00504970i | ||||
\(599\) | −2.33872 | + | 1.35026i | −0.0955573 | + | 0.0551701i | −0.547017 | − | 0.837121i | \(-0.684237\pi\) |
0.451460 | + | 0.892291i | \(0.350903\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −21.0197 | + | 12.1357i | −0.857411 | + | 0.495026i | −0.863144 | − | 0.504957i | \(-0.831508\pi\) |
0.00573343 | + | 0.999984i | \(0.498175\pi\) | |||||||
\(602\) | −32.2552 | − | 39.9633i | −1.31462 | − | 1.62878i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.736739 | + | 1.27607i | 0.0299775 | + | 0.0519225i | ||||
\(605\) | −2.92512 | −0.118923 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 21.4181i | − | 0.869334i | −0.900591 | − | 0.434667i | \(-0.856866\pi\) | ||
0.900591 | − | 0.434667i | \(-0.143134\pi\) | |||||||
\(608\) | 0.342391 | − | 0.593039i | 0.0138858 | − | 0.0240509i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.04115 | + | 3.53537i | 0.0826437 | + | 0.143143i | ||||
\(611\) | 2.45439 | − | 1.41705i | 0.0992942 | − | 0.0573275i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.95306 | + | 5.11485i | −0.119273 | + | 0.206587i | −0.919480 | − | 0.393137i | \(-0.871390\pi\) |
0.800207 | + | 0.599724i | \(0.204723\pi\) | |||||||
\(614\) | 9.97404 | − | 17.2756i | 0.402520 | − | 0.697185i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.5468 | − | 16.5837i | 0.827854 | − | 0.668177i | ||||
\(617\) | 1.19246 | + | 0.688465i | 0.0480065 | + | 0.0277166i | 0.523811 | − | 0.851834i | \(-0.324510\pi\) |
−0.475805 | + | 0.879551i | \(0.657843\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 33.8233i | 1.35947i | 0.733457 | + | 0.679736i | \(0.237906\pi\) | ||||
−0.733457 | + | 0.679736i | \(0.762094\pi\) | |||||||
\(620\) | 1.23523 | + | 0.713163i | 0.0496082 | + | 0.0286413i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 31.0133i | 1.24352i | ||||||||
\(623\) | −38.6092 | − | 14.8921i | −1.54685 | − | 0.596640i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.3326 | 0.653305 | ||||||||
\(626\) | −12.4654 | − | 21.5907i | −0.498218 | − | 0.862938i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.93969 | − | 1.11988i | −0.0774022 | − | 0.0446882i | ||||
\(629\) | 33.9749 | 1.35467 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.0205 | −0.996049 | −0.498024 | − | 0.867163i | \(-0.665941\pi\) | ||||
−0.498024 | + | 0.867163i | \(0.665941\pi\) | |||||||
\(632\) | 11.1594 | + | 6.44287i | 0.443896 | + | 0.256283i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.07171 | + | 12.2486i | 0.280853 | + | 0.486452i | ||||
\(635\) | 2.06119 | 0.0817958 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −13.7975 | + | 15.2247i | −0.546676 | + | 0.603225i | ||||
\(638\) | 1.25982i | 0.0498768i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.79916 | + | 5.08020i | 0.347817 | + | 0.200812i | ||||
\(641\) | 10.6830i | 0.421952i | 0.977491 | + | 0.210976i | \(0.0676642\pi\) | ||||
−0.977491 | + | 0.210976i | \(0.932336\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −38.1128 | − | 22.0044i | −1.50302 | − | 0.867771i | −0.999994 | − | 0.00350106i | \(-0.998886\pi\) |
−0.503029 | − | 0.864270i | \(-0.667781\pi\) | |||||||
\(644\) | −0.0148749 | + | 0.0385646i | −0.000586152 | + | 0.00151966i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.77216 | − | 3.06946i | 0.0697246 | − | 0.120766i | ||||
\(647\) | −23.5043 | + | 40.7107i | −0.924050 | + | 1.60050i | −0.130968 | + | 0.991387i | \(0.541808\pi\) |
−0.793082 | + | 0.609115i | \(0.791525\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.3989 | − | 6.00380i | 0.408192 | − | 0.235670i | ||||
\(650\) | −9.74704 | − | 16.8824i | −0.382310 | − | 0.662181i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.61287 | + | 2.79357i | −0.0631648 | + | 0.109405i | ||||
\(653\) | 33.9388i | 1.32813i | 0.747677 | + | 0.664063i | \(0.231169\pi\) | ||||
−0.747677 | + | 0.664063i | \(0.768831\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.39029 | 0.249689 | ||||||||
\(656\) | 16.9765 | + | 29.4041i | 0.662820 | + | 1.14804i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.38827 | − | 3.59921i | 0.0541203 | − | 0.140312i | ||||
\(659\) | 1.36652 | − | 0.788962i | 0.0532322 | − | 0.0307336i | −0.473148 | − | 0.880983i | \(-0.656882\pi\) |
0.526380 | + | 0.850249i | \(0.323549\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.08470 | − | 1.20360i | 0.0810854 | − | 0.0468147i | −0.458909 | − | 0.888483i | \(-0.651760\pi\) |
0.539994 | + | 0.841669i | \(0.318426\pi\) | |||||||
\(662\) | 37.7215 | − | 21.7785i | 1.46609 | − | 0.846446i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −19.3868 | + | 11.1930i | −0.752354 | + | 0.434372i | ||||
\(665\) | −0.321205 | + | 0.832756i | −0.0124558 | + | 0.0322929i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.00604760 | + | 0.0104747i | 0.000234164 | + | 0.000405584i | ||||
\(668\) | 4.70062 | 0.181873 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 4.92299i | − | 0.190192i | ||||||
\(671\) | −6.69529 | + | 11.5966i | −0.258469 | + | 0.447681i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.1767 | + | 21.0906i | 0.469377 | + | 0.812984i | 0.999387 | − | 0.0350069i | \(-0.0111453\pi\) |
−0.530010 | + | 0.847991i | \(0.677812\pi\) | |||||||
\(674\) | 16.3788 | − | 9.45629i | 0.630887 | − | 0.364243i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.614668 | − | 1.06464i | 0.0236411 | − | 0.0409476i | ||||
\(677\) | 4.83847 | − | 8.38048i | 0.185958 | − | 0.322088i | −0.757941 | − | 0.652323i | \(-0.773795\pi\) |
0.943899 | + | 0.330235i | \(0.107128\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.36507 | − | 3.53907i | 0.0523865 | − | 0.135817i | ||||
\(680\) | 9.41873 | + | 5.43791i | 0.361192 | + | 0.208534i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 38.0509i | 1.45704i | ||||||||
\(683\) | −18.6341 | − | 10.7584i | −0.713012 | − | 0.411658i | 0.0991632 | − | 0.995071i | \(-0.468383\pi\) |
−0.812175 | + | 0.583413i | \(0.801717\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.4437i | 0.513659i | ||||||||
\(686\) | −1.59867 | + | 27.9216i | −0.0610374 | + | 1.06605i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 57.6139 | 2.19651 | ||||||||
\(689\) | −10.9549 | − | 18.9744i | −0.417348 | − | 0.722868i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.4980 | − | 14.7213i | −0.969989 | − | 0.560023i | −0.0707559 | − | 0.997494i | \(-0.522541\pi\) |
−0.899233 | + | 0.437470i | \(0.855874\pi\) | |||||||
\(692\) | −0.480244 | −0.0182561 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.3730 | 1.64642 | ||||||||
\(695\) | −4.24929 | − | 2.45333i | −0.161185 | − | 0.0930602i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 20.4454 | + | 35.4124i | 0.774423 | + | 1.34134i | ||||
\(698\) | −19.3297 | −0.731641 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.04400 | − | 1.17411i | −0.115053 | − | 0.0443773i | ||||
\(701\) | 40.4325i | 1.52712i | 0.645740 | + | 0.763558i | \(0.276549\pi\) | ||||
−0.645740 | + | 0.763558i | \(0.723451\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.37000 | − | 1.36832i | −0.0893863 | − | 0.0516072i | ||||
\(704\) | 25.3114i | 0.953958i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −35.3077 | − | 20.3849i | −1.32882 | − | 0.767197i | ||||
\(707\) | −32.9861 | + | 26.6238i | −1.24057 | + | 1.00129i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.95114 | − | 13.7718i | 0.298611 | − | 0.517210i | −0.677207 | − | 0.735792i | \(-0.736810\pi\) |
0.975818 | + | 0.218582i | \(0.0701433\pi\) | |||||||
\(710\) | 2.05514 | − | 3.55960i | 0.0771280 | − | 0.133590i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 35.1743 | − | 20.3079i | 1.31821 | − | 0.761070i | ||||
\(713\) | 0.182658 | + | 0.316373i | 0.00684061 | + | 0.0118483i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.37619 | + | 7.57978i | −0.163660 | + | 0.283468i | ||||
\(716\) | 4.01923i | 0.150206i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −42.3143 | −1.57916 | ||||||||
\(719\) | 13.0488 | + | 22.6012i | 0.486638 | + | 0.842883i | 0.999882 | − | 0.0153605i | \(-0.00488959\pi\) |
−0.513244 | + | 0.858243i | \(0.671556\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 28.0264 | + | 34.7239i | 1.04376 | + | 1.29319i | ||||
\(722\) | 24.6006 | − | 14.2032i | 0.915539 | − | 0.528587i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.17319 | + | 0.677340i | −0.0436011 | + | 0.0251731i | ||||
\(725\) | −0.826800 | + | 0.477353i | −0.0307066 | + | 0.0177285i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.74533 | − | 2.16237i | 0.138907 | − | 0.0801977i | −0.428936 | − | 0.903335i | \(-0.641111\pi\) |
0.567843 | + | 0.823137i | \(0.307778\pi\) | |||||||
\(728\) | −3.12261 | − | 19.9231i | −0.115732 | − | 0.738398i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.77535 | + | 8.27115i | 0.176744 | + | 0.306129i | ||||
\(731\) | 69.3864 | 2.56635 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 42.3174i | 1.56303i | 0.623886 | + | 0.781515i | \(0.285553\pi\) | ||||
−0.623886 | + | 0.781515i | \(0.714447\pi\) | |||||||
\(734\) | −25.2475 | + | 43.7299i | −0.931901 | + | 1.61410i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0438762 | − | 0.0759958i | −0.00161730 | − | 0.00280124i | ||||
\(737\) | 13.9847 | − | 8.07409i | 0.515135 | − | 0.297413i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.62120 | − | 2.80801i | 0.0596369 | − | 0.103294i | −0.834666 | − | 0.550757i | \(-0.814339\pi\) |
0.894302 | + | 0.447463i | \(0.147672\pi\) | |||||||
\(740\) | −0.684610 | + | 1.18578i | −0.0251668 | + | 0.0435901i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −27.8248 | − | 10.7324i | −1.02148 | − | 0.393999i | ||||
\(743\) | −5.41770 | − | 3.12791i | −0.198756 | − | 0.114752i | 0.397319 | − | 0.917681i | \(-0.369941\pi\) |
−0.596075 | + | 0.802929i | \(0.703274\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.95001i | 0.364540i | ||||||||
\(746\) | 10.4205 | + | 6.01626i | 0.381520 | + | 0.220271i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 5.81678i | − | 0.212682i | ||||||
\(749\) | 3.69895 | − | 9.58989i | 0.135157 | − | 0.350407i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.9063 | −0.689900 | −0.344950 | − | 0.938621i | \(-0.612104\pi\) | ||||
−0.344950 | + | 0.938621i | \(0.612104\pi\) | |||||||
\(752\) | 2.16386 | + | 3.74791i | 0.0789078 | + | 0.136672i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.833277 | + | 0.481093i | 0.0303462 | + | 0.0175204i | ||||
\(755\) | 4.07736 | 0.148390 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.7873 | −1.48244 | −0.741220 | − | 0.671262i | \(-0.765752\pi\) | ||||
−0.741220 | + | 0.671262i | \(0.765752\pi\) | |||||||
\(758\) | −5.08353 | − | 2.93498i | −0.184642 | − | 0.106603i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.438017 | − | 0.758668i | −0.0158886 | − | 0.0275198i | ||||
\(761\) | 42.6212 | 1.54502 | 0.772508 | − | 0.635005i | \(-0.219002\pi\) | ||||
0.772508 | + | 0.635005i | \(0.219002\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.05085 | − | 6.70473i | −0.0380435 | − | 0.242728i | ||||
\(764\) | 0.881003i | 0.0318736i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.5866 | + | 9.57627i | 0.599298 | + | 0.346005i | ||||
\(767\) | − | 9.17078i | − | 0.331138i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.932209 | − | 0.538211i | −0.0336163 | − | 0.0194084i | 0.483098 | − | 0.875566i | \(-0.339512\pi\) |
−0.516714 | + | 0.856158i | \(0.672845\pi\) | |||||||
\(770\) | 1.84471 | + | 11.7698i | 0.0664789 | + | 0.424153i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.842584 | − | 1.45940i | 0.0303253 | − | 0.0525249i | ||||
\(773\) | −2.96855 | + | 5.14169i | −0.106771 | + | 0.184934i | −0.914461 | − | 0.404675i | \(-0.867385\pi\) |
0.807689 | + | 0.589609i | \(0.200718\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −24.9722 | + | 14.4177i | −0.897028 | + | 0.517899i | ||||
\(776\) | 1.86150 | + | 3.22421i | 0.0668240 | + | 0.115742i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.5248 | − | 26.8898i | 0.556592 | − | 0.964046i | ||||
\(779\) | − | 3.29370i | − | 0.118009i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 13.4824 | 0.482437 | ||||||||
\(782\) | −0.227095 | − | 0.393341i | −0.00812091 | − | 0.0140658i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −23.2485 | − | 21.0691i | −0.830303 | − | 0.752466i | ||||
\(785\) | −5.36746 | + | 3.09891i | −0.191573 | + | 0.110605i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.65434 | + | 4.41923i | −0.272848 | + | 0.157529i | −0.630181 | − | 0.776448i | \(-0.717019\pi\) |
0.357333 | + | 0.933977i | \(0.383686\pi\) | |||||||
\(788\) | 3.42140 | − | 1.97535i | 0.121882 | − | 0.0703688i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.03502 | + | 2.90697i | −0.179138 | + | 0.103425i | ||||
\(791\) | 29.5495 | − | 4.63139i | 1.05066 | − | 0.164673i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.11351 | + | 8.85687i | 0.181586 | + | 0.314517i | ||||
\(794\) | −22.6065 | −0.802275 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 2.21529i | − | 0.0785190i | ||||||
\(797\) | −19.0123 | + | 32.9303i | −0.673450 | + | 1.16645i | 0.303469 | + | 0.952841i | \(0.401855\pi\) |
−0.976919 | + | 0.213609i | \(0.931478\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.60601 | + | 4.51374i | 0.0921940 | + | 0.159685i | ||||
\(800\) | 5.99855 | − | 3.46326i | 0.212081 | − | 0.122445i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.78939 | + | 13.4916i | −0.275053 | + | 0.476406i | ||||
\(803\) | −15.6639 | + | 27.1307i | −0.552767 | + | 0.957421i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0718369 | + | 0.0890041i | 0.00253192 | + | 0.00313698i | ||||
\(806\) | 25.1678 | + | 14.5307i | 0.886499 | + | 0.511821i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | − | 41.6054i | − | 1.46367i | ||||||
\(809\) | −14.6570 | − | 8.46222i | −0.515312 | − | 0.297516i | 0.219702 | − | 0.975567i | \(-0.429491\pi\) |
−0.735015 | + | 0.678051i | \(0.762825\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.9840i | 0.947536i | 0.880650 | + | 0.473768i | \(0.157106\pi\) | ||||
−0.880650 | + | 0.473768i | \(0.842894\pi\) | |||||||
\(812\) | 0.159092 | − | 0.0249351i | 0.00558304 | − | 0.000875049i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −36.5275 | −1.28029 | ||||||||
\(815\) | 4.46308 | + | 7.73028i | 0.156335 | + | 0.270780i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.84021 | − | 2.79450i | −0.169338 | − | 0.0977671i | ||||
\(818\) | 27.9668 | 0.977836 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.64793 | −0.0575484 | ||||||||
\(821\) | −27.7572 | − | 16.0256i | −0.968732 | − | 0.559297i | −0.0698823 | − | 0.997555i | \(-0.522262\pi\) |
−0.898849 | + | 0.438258i | \(0.855596\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.3974 | − | 18.0089i | −0.362431 | − | 0.627749i | 0.625929 | − | 0.779880i | \(-0.284720\pi\) |
−0.988360 | + | 0.152131i | \(0.951387\pi\) | |||||||
\(824\) | −43.7973 | −1.52575 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.84015 | − | 9.71373i | −0.272794 | − | 0.337984i | ||||
\(827\) | − | 34.0792i | − | 1.18505i | −0.805552 | − | 0.592525i | \(-0.798131\pi\) | ||
0.805552 | − | 0.592525i | \(-0.201869\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −29.3229 | − | 16.9296i | −1.01843 | − | 0.587988i | −0.104778 | − | 0.994496i | \(-0.533413\pi\) |
−0.913648 | + | 0.406507i | \(0.866747\pi\) | |||||||
\(830\) | − | 10.1004i | − | 0.350589i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 16.7416 | + | 9.66575i | 0.580410 | + | 0.335100i | ||||
\(833\) | −27.9989 | − | 25.3742i | −0.970106 | − | 0.879164i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.50371 | − | 11.2648i | 0.225070 | − | 0.389833i | ||||
\(836\) | −0.234267 | + | 0.405763i | −0.00810231 | + | 0.0140336i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.6788 | − | 9.62953i | 0.576161 | − | 0.332647i | ||||
\(839\) | −11.7633 | − | 20.3747i | −0.406115 | − | 0.703412i | 0.588335 | − | 0.808617i | \(-0.299784\pi\) |
−0.994451 | + | 0.105205i | \(0.966450\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.4764 | + | 25.0739i | −0.499188 | + | 0.864618i | ||||
\(842\) | − | 20.5008i | − | 0.706506i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.44579 | 0.0497661 | ||||||||
\(845\) | −1.70089 | − | 2.94603i | −0.0585124 | − | 0.101347i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.76191 | + | 6.26479i | −0.266702 | + | 0.215261i | ||||
\(848\) | 28.9743 | − | 16.7283i | 0.994983 | − | 0.574454i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 31.0474 | − | 17.9252i | 1.06492 | − | 0.614831i | ||||
\(851\) | −0.303707 | + | 0.175345i | −0.0104109 | + | 0.00601076i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 39.7270 | − | 22.9364i | 1.36023 | − | 0.785328i | 0.370574 | − | 0.928803i | \(-0.379161\pi\) |
0.989654 | + | 0.143475i | \(0.0458277\pi\) | |||||||
\(854\) | 12.9880 | + | 5.00966i | 0.444441 | + | 0.171427i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.04414 | + | 8.73670i | 0.172405 | + | 0.298614i | ||||
\(857\) | −18.2455 | −0.623253 | −0.311627 | − | 0.950205i | \(-0.600874\pi\) | ||||
−0.311627 | + | 0.950205i | \(0.600874\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.81666i | 0.198462i | 0.995064 | + | 0.0992309i | \(0.0316382\pi\) | ||||
−0.995064 | + | 0.0992309i | \(0.968362\pi\) | |||||||
\(860\) | −1.39817 | + | 2.42170i | −0.0476771 | + | 0.0825792i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.2950 | + | 47.2763i | 0.929671 | + | 1.61024i | ||||
\(863\) | 27.7060 | − | 15.9961i | 0.943123 | − | 0.544513i | 0.0521854 | − | 0.998637i | \(-0.483381\pi\) |
0.890938 | + | 0.454125i | \(0.150048\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.664458 | + | 1.15087i | −0.0225922 | + | 0.0391309i | ||||
\(866\) | 24.9230 | − | 43.1679i | 0.846918 | − | 1.46690i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.80513 | − | 0.753125i | 0.163097 | − | 0.0255627i | ||||
\(869\) | −16.5157 | − | 9.53533i | −0.560256 | − | 0.323464i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 12.3332i | − | 0.417893i | ||||||
\(872\) | 5.76857 | + | 3.33048i | 0.195348 | + | 0.112784i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.0365846i | 0.00123749i | ||||||||
\(875\) | −15.0123 | + | 12.1167i | −0.507507 | + | 0.409619i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −48.3898 | −1.63401 | −0.817004 | − | 0.576632i | \(-0.804367\pi\) | ||||
−0.817004 | + | 0.576632i | \(0.804367\pi\) | |||||||
\(878\) | −23.0756 | − | 39.9681i | −0.778763 | − | 1.34886i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.5745 | − | 6.68253i | −0.390176 | − | 0.225268i | ||||
\(881\) | −26.6822 | −0.898946 | −0.449473 | − | 0.893294i | \(-0.648388\pi\) | ||||
−0.449473 | + | 0.893294i | \(0.648388\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.0484 | 1.17947 | 0.589737 | − | 0.807595i | \(-0.299231\pi\) | ||||
0.589737 | + | 0.807595i | \(0.299231\pi\) | |||||||
\(884\) | −3.84736 | − | 2.22128i | −0.129401 | − | 0.0747096i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.6315 | − | 27.0745i | −0.525149 | − | 0.909585i | ||||
\(887\) | −12.9676 | −0.435410 | −0.217705 | − | 0.976015i | \(-0.569857\pi\) | ||||
−0.217705 | + | 0.976015i | \(0.569857\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.46944 | − | 4.41449i | 0.183439 | − | 0.148057i | ||||
\(890\) | 18.3255i | 0.614273i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.06497 | + | 0.614862i | 0.0356579 | + | 0.0205871i | ||||
\(893\) | − | 0.419822i | − | 0.0140488i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.63184 | + | 5.56095i | 0.321957 | + | 0.185882i | ||||
\(896\) | 34.2292 | − | 5.36486i | 1.14352 | − | 0.179227i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.83414 | − | 8.37298i | 0.161317 | − | 0.279410i | ||||
\(899\) | 0.711627 | − | 1.23257i | 0.0237341 | − | 0.0411086i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.8948 | − | 20.1465i | 1.16251 | − | 0.671178i | ||||
\(902\) | −21.9815 | − | 38.0730i | −0.731902 | − | 1.26769i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −14.6783 | + | 25.4236i | −0.488193 | + | 0.845576i | ||||
\(905\) | 3.74863i | 0.124609i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.12613 | −0.303028 | −0.151514 | − | 0.988455i | \(-0.548415\pi\) | ||||
−0.151514 | + | 0.988455i | \(0.548415\pi\) | |||||||
\(908\) | −1.35622 | − | 2.34904i | −0.0450077 | − | 0.0779557i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.48926 | + | 3.27443i | 0.281416 | + | 0.108546i | ||||
\(911\) | −41.5720 | + | 24.0016i | −1.37734 | + | 0.795209i | −0.991839 | − | 0.127498i | \(-0.959305\pi\) |
−0.385503 | + | 0.922707i | \(0.625972\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28.6921 | − | 16.5654i | 0.949571 | − | 0.548235i | ||||
\(914\) | −4.11533 | + | 2.37599i | −0.136123 | + | 0.0785906i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.14973 | − | 1.24115i | 0.0710292 | − | 0.0410087i | ||||
\(917\) | 16.9569 | − | 13.6862i | 0.559965 | − | 0.451959i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.8096 | + | 34.3113i | 0.653459 | + | 1.13182i | 0.982278 | + | 0.187432i | \(0.0600163\pi\) |
−0.328818 | + | 0.944393i | \(0.606650\pi\) | |||||||
\(920\) | −0.112261 | −0.00370112 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.4770i | 0.740241i | ||||||||
\(923\) | 5.14856 | − | 8.91757i | 0.169467 | − | 0.293526i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.8405 | − | 23.9724i | −0.455072 | − | 0.788208i | ||||
\(926\) | −34.9480 | + | 20.1772i | −1.14846 | + | 0.663065i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.170939 | + | 0.296076i | −0.00561136 | + | 0.00971915i | ||||
\(929\) | 11.7897 | − | 20.4204i | 0.386809 | − | 0.669973i | −0.605209 | − | 0.796066i | \(-0.706911\pi\) |
0.992018 | + | 0.126093i | \(0.0402439\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.931201 | + | 2.89768i | 0.0305189 | + | 0.0949676i | ||||
\(932\) | −3.12944 | − | 1.80679i | −0.102508 | − | 0.0591832i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 37.4403i | − | 1.22509i | ||||||
\(935\) | −13.9396 | − | 8.04801i | −0.455872 | − | 0.263198i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 52.5144i | − | 1.71557i | −0.514007 | − | 0.857786i | \(-0.671840\pi\) | ||
0.514007 | − | 0.857786i | \(-0.328160\pi\) | |||||||
\(938\) | −10.5437 | − | 13.0633i | −0.344263 | − | 0.426533i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.210049 | −0.00685105 | ||||||||
\(941\) | 24.5713 | + | 42.5587i | 0.801000 | + | 1.38737i | 0.918958 | + | 0.394354i | \(0.129032\pi\) |
−0.117958 | + | 0.993019i | \(0.537635\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.365528 | − | 0.211038i | −0.0119032 | − | 0.00687234i | ||||
\(944\) | 14.0040 | 0.455791 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −74.5995 | −2.42544 | ||||||||
\(947\) | −8.04907 | − | 4.64713i | −0.261560 | − | 0.151012i | 0.363486 | − | 0.931600i | \(-0.381586\pi\) |
−0.625046 | + | 0.780588i | \(0.714920\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.9633 | + | 20.7210i | 0.388344 | + | 0.672632i | ||||
\(950\) | −2.88772 | −0.0936899 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 36.6394 | − | 5.74262i | 1.18749 | − | 0.186119i | ||||
\(953\) | 40.3761i | 1.30791i | 0.756534 | + | 0.653955i | \(0.226891\pi\) | ||||
−0.756534 | + | 0.653955i | \(0.773109\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.11127 | + | 1.21894i | 0.0683191 | + | 0.0394440i | ||||
\(956\) | − | 1.35469i | − | 0.0438137i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 16.3827 | + | 9.45854i | 0.529300 | + | 0.305592i | ||||
\(959\) | 28.7928 | + | 35.6734i | 0.929766 | + | 1.15196i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.99358 | − | 10.3812i | 0.193341 | − | 0.334877i | ||||
\(962\) | −13.9489 | + | 24.1602i | −0.449731 | + | 0.778957i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.43638 | − | 1.40665i | 0.0784706 | − | 0.0453050i | ||||
\(965\) | −2.33157 | − | 4.03840i | −0.0750560 | − | 0.130001i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.78620 | − | 15.2181i | 0.282545 | − | 0.489383i | −0.689466 | − | 0.724318i | \(-0.742155\pi\) |
0.972011 | + | 0.234936i | \(0.0754879\pi\) | |||||||
\(968\) | − | 9.79009i | − | 0.314665i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.67979 | −0.0539348 | ||||||||
\(971\) | 20.1321 | + | 34.8697i | 0.646068 | + | 1.11902i | 0.984054 | + | 0.177872i | \(0.0569212\pi\) |
−0.337985 | + | 0.941151i | \(0.609745\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16.5300 | + | 2.59080i | −0.529928 | + | 0.0830573i | ||||
\(974\) | −4.43986 | + | 2.56336i | −0.142262 | + | 0.0821353i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −13.5246 | + | 7.80845i | −0.432913 | + | 0.249942i | ||||
\(977\) | 22.9591 | − | 13.2555i | 0.734527 | − | 0.424080i | −0.0855487 | − | 0.996334i | \(-0.527264\pi\) |
0.820076 | + | 0.572254i | \(0.193931\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −52.0573 | + | 30.0553i | −1.66376 | + | 0.960572i | ||||
\(980\) | 1.44979 | − | 0.465907i | 0.0463119 | − | 0.0148829i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.680195 | + | 1.17813i | 0.0217059 | + | 0.0375957i | ||||
\(983\) | 38.2714 | 1.22067 | 0.610334 | − | 0.792144i | \(-0.291035\pi\) | ||||
0.610334 | + | 0.792144i | \(0.291035\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 10.9322i | − | 0.348330i | ||||||
\(986\) | −0.884752 | + | 1.53243i | −0.0281762 | + | 0.0488027i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.178921 | + | 0.309901i | 0.00569225 | + | 0.00985926i | ||||
\(989\) | −0.620255 | + | 0.358105i | −0.0197230 | + | 0.0113871i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.4509 | − | 52.7425i | 0.967305 | − | 1.67542i | 0.264016 | − | 0.964518i | \(-0.414953\pi\) |
0.703289 | − | 0.710904i | \(-0.251714\pi\) | |||||||
\(992\) | −5.16295 | + | 8.94250i | −0.163924 | + | 0.283925i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −2.17030 | − | 13.8471i | −0.0688377 | − | 0.439202i | ||||
\(995\) | −5.30881 | − | 3.06504i | −0.168301 | − | 0.0971684i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.4115i | 0.456415i | 0.973612 | + | 0.228208i | \(0.0732865\pi\) | ||||
−0.973612 | + | 0.228208i | \(0.926713\pi\) | |||||||
\(998\) | −28.5996 | − | 16.5120i | −0.905306 | − | 0.522679i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))