Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(143,189)]
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([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.i (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: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 143.2 | ||
Root | \(-1.04536 + 1.81062i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.143 |
Dual form | 189.2.i.b.152.4 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.51009i | − | 1.06780i | −0.845548 | − | 0.533899i | \(-0.820726\pi\) | ||
0.845548 | − | 0.533899i | \(-0.179274\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.280386 | −0.140193 | ||||||||
\(5\) | 0.387938 | − | 0.671929i | 0.173491 | − | 0.300496i | −0.766147 | − | 0.642666i | \(-0.777829\pi\) |
0.939638 | + | 0.342170i | \(0.111162\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.46849 | − | 0.952131i | −0.933002 | − | 0.359872i | ||||
\(8\) | − | 2.59678i | − | 0.918100i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.01468 | − | 0.585823i | −0.320869 | − | 0.185254i | ||||
\(11\) | 3.32830 | − | 1.92159i | 1.00352 | − | 0.579382i | 0.0942318 | − | 0.995550i | \(-0.469961\pi\) |
0.909288 | + | 0.416168i | \(0.136627\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.54198 | − | 1.46761i | 0.705019 | − | 0.407043i | −0.104195 | − | 0.994557i | \(-0.533227\pi\) |
0.809214 | + | 0.587514i | \(0.199893\pi\) | |||||||
\(14\) | −1.43781 | + | 3.72766i | −0.384270 | + | 0.996258i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.48216 | −1.12054 | ||||||||
\(17\) | −2.69901 | + | 4.67482i | −0.654606 | + | 1.13381i | 0.327387 | + | 0.944890i | \(0.393832\pi\) |
−0.981993 | + | 0.188920i | \(0.939501\pi\) | |||||||
\(18\) | 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 | ||||
\(23\) | 0.0482537 | + | 0.0278593i | 0.0100616 | + | 0.00580906i | 0.505022 | − | 0.863106i | \(-0.331484\pi\) |
−0.494961 | + | 0.868915i | \(0.664818\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.19901 | + | 3.80879i | 0.439802 | + | 0.761759i | ||||
\(26\) | −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 | 0.517353 | − | 0.855772i | \(-0.326917\pi\) |
−0.482444 | + | 0.875927i | \(0.660251\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.55646i | 1.17757i | 0.808288 | + | 0.588787i | \(0.200394\pi\) | ||||
−0.808288 | + | 0.588787i | \(0.799606\pi\) | |||||||
\(32\) | 1.57492i | 0.278409i | ||||||||
\(33\) | 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 | \(0.660248\pi\) | |||||||
\(38\) | 0.328298 | + | 0.568628i | 0.0532569 | + | 0.0922437i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.74485 | − | 1.00739i | −0.275885 | − | 0.159282i | ||||
\(41\) | 3.78757 | + | 6.56026i | 0.591519 | + | 1.02454i | 0.994028 | + | 0.109125i | \(0.0348049\pi\) |
−0.402509 | + | 0.915416i | \(0.631862\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.42703 | − | 11.1319i | 0.980112 | − | 1.69760i | 0.318198 | − | 0.948024i | \(-0.396922\pi\) |
0.661914 | − | 0.749580i | \(-0.269745\pi\) | |||||||
\(44\) | −0.933209 | + | 0.538789i | −0.140687 | + | 0.0812254i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0420702 | − | 0.0728677i | 0.00620291 | − | 0.0107437i | ||||
\(47\) | −0.965544 | −0.140839 | −0.0704195 | − | 0.997517i | \(-0.522434\pi\) | ||||
−0.0704195 | + | 0.997517i | \(0.522434\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.18689 | + | 4.70065i | 0.740985 | + | 0.671522i | ||||
\(50\) | 5.75164 | − | 3.32071i | 0.813405 | − | 0.469619i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.712737 | + | 0.411499i | −0.0988388 | + | 0.0570646i | ||||
\(53\) | −6.46438 | − | 3.73221i | −0.887950 | − | 0.512658i | −0.0146788 | − | 0.999892i | \(-0.504673\pi\) |
−0.873272 | + | 0.487234i | \(0.838006\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.98184i | − | 0.402071i | ||||||
\(56\) | −2.47247 | + | 6.41013i | −0.330398 | + | 0.856589i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.163903 | − | 0.283889i | 0.0215215 | − | 0.0372764i | ||||
\(59\) | 3.12439 | 0.406760 | 0.203380 | − | 0.979100i | \(-0.434807\pi\) | ||||
0.203380 | + | 0.979100i | \(0.434807\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.48424i | 0.446111i | 0.974806 | + | 0.223055i | \(0.0716031\pi\) | ||||
−0.974806 | + | 0.223055i | \(0.928397\pi\) | |||||||
\(62\) | 9.90087 | 1.25741 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.58603 | −0.823254 | ||||||||
\(65\) | − | 2.27737i | − | 0.282473i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.20177 | −0.513328 | −0.256664 | − | 0.966501i | \(-0.582623\pi\) | ||||
−0.256664 | + | 0.966501i | \(0.582623\pi\) | |||||||
\(68\) | 0.756765 | − | 1.31076i | 0.0917712 | − | 0.158952i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.94694 | + | 2.41220i | 0.232704 | + | 0.288314i | ||||
\(71\) | − | 3.50812i | − | 0.416337i | −0.978093 | − | 0.208169i | \(-0.933250\pi\) | ||
0.978093 | − | 0.208169i | \(-0.0667503\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.05942 | − | 4.07576i | −0.826243 | − | 0.477031i | 0.0263219 | − | 0.999654i | \(-0.491621\pi\) |
−0.852564 | + | 0.522622i | \(0.824954\pi\) | |||||||
\(74\) | 8.23112 | − | 4.75224i | 0.956848 | − | 0.552437i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.105580 | − | 0.0609566i | 0.0121108 | − | 0.00699220i | ||||
\(77\) | −10.0455 | + | 1.57446i | −1.14479 | + | 0.179427i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.96220 | −0.558291 | −0.279145 | − | 0.960249i | \(-0.590051\pi\) | ||||
−0.279145 | + | 0.960249i | \(0.590051\pi\) | |||||||
\(80\) | −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 | \(-0.990206\pi\) |
0.526406 | + | 0.850233i | \(0.323539\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.09410 | + | 3.62708i | 0.227137 | + | 0.393412i | ||||
\(86\) | −16.8103 | − | 9.70542i | −1.81270 | − | 1.04656i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.98996 | − | 8.64286i | −0.531931 | − | 0.921332i | ||||
\(89\) | 7.82041 | + | 13.5453i | 0.828962 | + | 1.43580i | 0.898853 | + | 0.438249i | \(0.144401\pi\) |
−0.0698916 | + | 0.997555i | \(0.522265\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.67222 | + | 1.20249i | −0.804267 | + | 0.126055i | ||||
\(92\) | −0.0135297 | − | 0.00781136i | −0.00141057 | − | 0.000814391i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.45806i | 0.150388i | ||||||||
\(95\) | 0.337354i | 0.0346118i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.24162 | − | 0.716849i | −0.126067 | − | 0.0727850i | 0.435640 | − | 0.900121i | \(-0.356522\pi\) |
−0.561708 | + | 0.827336i | \(0.689855\pi\) | |||||||
\(98\) | 7.09843 | − | 7.83270i | 0.717050 | − | 0.791222i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.616572 | − | 1.06793i | −0.0616572 | − | 0.106793i | ||||
\(101\) | −8.01096 | − | 13.8754i | −0.797120 | − | 1.38065i | −0.921484 | − | 0.388416i | \(-0.873023\pi\) |
0.124364 | − | 0.992237i | \(-0.460311\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −14.6064 | − | 8.43299i | −1.43921 | − | 0.830928i | −0.441414 | − | 0.897303i | \(-0.645523\pi\) |
−0.997795 | + | 0.0663758i | \(0.978856\pi\) | |||||||
\(104\) | −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 | −0.653731 | − | 0.756727i | \(-0.726797\pi\) |
0.328479 | + | 0.944511i | \(0.393464\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.28254 | − | 2.22143i | 0.122845 | − | 0.212774i | −0.798043 | − | 0.602600i | \(-0.794131\pi\) |
0.920889 | + | 0.389826i | \(0.127465\pi\) | |||||||
\(110\) | −4.50286 | −0.429331 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.0642 | + | 4.26760i | 1.04546 | + | 0.403250i | ||||
\(113\) | 9.79043 | − | 5.65251i | 0.921006 | − | 0.531743i | 0.0370501 | − | 0.999313i | \(-0.488204\pi\) |
0.883956 | + | 0.467570i | \(0.154871\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0374389 | − | 0.0216154i | 0.00349120 | − | 0.00201564i | ||||
\(116\) | −0.0527109 | − | 0.0304327i | −0.00489408 | − | 0.00282560i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 4.71812i | − | 0.434338i | ||||||
\(119\) | 11.1135 | − | 8.96994i | 1.01877 | − | 0.822273i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.88504 | − | 3.26499i | 0.171368 | − | 0.296817i | ||||
\(122\) | 5.26153 | 0.476356 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 1.83834i | − | 0.165088i | ||||||
\(125\) | 7.29170 | 0.652189 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.65660 | 0.235735 | 0.117867 | − | 0.993029i | \(-0.462394\pi\) | ||||
0.117867 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(128\) | 13.0954i | 1.15748i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.43905 | −0.301625 | ||||||||
\(131\) | 4.11811 | − | 7.13278i | 0.359801 | − | 0.623194i | −0.628126 | − | 0.778111i | \(-0.716178\pi\) |
0.987927 | + | 0.154918i | \(0.0495112\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.13651 | − | 0.178129i | 0.0985478 | − | 0.0154457i | ||||
\(134\) | 6.34507i | 0.548131i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.1395 | + | 7.00873i | 1.04095 | + | 0.600994i | ||||
\(137\) | −15.0058 | + | 8.66359i | −1.28203 | + | 0.740180i | −0.977219 | − | 0.212233i | \(-0.931927\pi\) |
−0.304811 | + | 0.952413i | \(0.598593\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.47677 | − | 3.16201i | 0.464533 | − | 0.268198i | −0.249415 | − | 0.968397i | \(-0.580238\pi\) |
0.713949 | + | 0.700198i | \(0.246905\pi\) | |||||||
\(140\) | 0.447885 | − | 0.361497i | 0.0378532 | − | 0.0305521i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.29759 | −0.444564 | ||||||||
\(143\) | 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 | ||||
\(149\) | 11.1061 | + | 6.41211i | 0.909847 | + | 0.525300i | 0.880382 | − | 0.474265i | \(-0.157286\pi\) |
0.0294650 | + | 0.999566i | \(0.490620\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.62759 | − | 4.55111i | −0.213830 | − | 0.370364i | 0.739080 | − | 0.673618i | \(-0.235260\pi\) |
−0.952910 | + | 0.303253i | \(0.901927\pi\) | |||||||
\(152\) | 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 | ||||||||
\(157\) | − | 7.98815i | − | 0.637523i | −0.947835 | − | 0.318762i | \(-0.896733\pi\) | ||
0.947835 | − | 0.318762i | \(-0.103267\pi\) | |||||||
\(158\) | 7.49339i | 0.596142i | ||||||||
\(159\) | 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 | \(0.684559\pi\) | |||||||
\(164\) | −1.06198 | − | 1.83941i | −0.0829269 | − | 0.143634i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.2739 | + | 6.50901i | 0.875027 | + | 0.505197i | ||||
\(167\) | −8.38240 | − | 14.5187i | −0.648650 | − | 1.12349i | −0.983446 | − | 0.181204i | \(-0.942001\pi\) |
0.334796 | − | 0.942291i | \(-0.391333\pi\) | |||||||
\(168\) | 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 | ||||
\(173\) | −1.71279 | −0.130221 | −0.0651106 | − | 0.997878i | \(-0.520740\pi\) | ||||
−0.0651106 | + | 0.997878i | \(0.520740\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.80176 | − | 11.4957i | −0.136200 | − | 0.868994i | ||||
\(176\) | −14.9180 | + | 8.61288i | −1.12448 | + | 0.649220i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 20.4548 | − | 11.8096i | 1.53315 | − | 0.885164i | ||||
\(179\) | −12.4141 | − | 7.16731i | −0.927877 | − | 0.535710i | −0.0417372 | − | 0.999129i | \(-0.513289\pi\) |
−0.886139 | + | 0.463419i | \(0.846623\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.83147i | 0.359121i | 0.983747 | + | 0.179560i | \(0.0574675\pi\) | ||||
−0.983747 | + | 0.179560i | \(0.942532\pi\) | |||||||
\(182\) | 1.81588 | + | 11.5858i | 0.134602 | + | 0.858795i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0723444 | − | 0.125304i | 0.00533330 | − | 0.00923755i | ||||
\(185\) | 4.88334 | 0.359030 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.7456i | 1.51707i | ||||||||
\(188\) | 0.270725 | 0.0197447 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.509437 | 0.0369584 | ||||||||
\(191\) | 3.14210i | 0.227355i | 0.993518 | + | 0.113677i | \(0.0362630\pi\) | ||||
−0.993518 | + | 0.113677i | \(0.963737\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.01017 | 0.432621 | 0.216311 | − | 0.976325i | \(-0.430598\pi\) | ||||
0.216311 | + | 0.976325i | \(0.430598\pi\) | |||||||
\(194\) | −1.08251 | + | 1.87496i | −0.0777197 | + | 0.134615i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.45433 | − | 1.31800i | −0.103881 | − | 0.0941427i | ||||
\(197\) | 14.0902i | 1.00388i | 0.864901 | + | 0.501942i | \(0.167381\pi\) | ||||
−0.864901 | + | 0.501942i | \(0.832619\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.84234 | − | 3.95043i | −0.485041 | − | 0.280038i | 0.237474 | − | 0.971394i | \(-0.423681\pi\) |
−0.722515 | + | 0.691355i | \(0.757014\pi\) | |||||||
\(200\) | 9.89060 | − | 5.71034i | 0.699371 | − | 0.403782i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −20.9531 | + | 12.0973i | −1.47426 | + | 0.851163i | ||||
\(203\) | −0.360718 | − | 0.446921i | −0.0253175 | − | 0.0313677i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.87737 | 0.410493 | ||||||||
\(206\) | −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 | 0.941021 | − | 0.338349i | \(-0.109868\pi\) |
−0.763529 | + | 0.645773i | \(0.776535\pi\) | |||||||
\(212\) | 1.81252 | + | 1.04646i | 0.124485 | + | 0.0718712i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.93330 | + | 5.08062i | 0.200516 | + | 0.347304i | ||||
\(215\) | −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 | ||||||||
\(220\) | 0.836067i | 0.0563676i | ||||||||
\(221\) | 15.8444i | 1.06581i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.79823 | − | 2.19291i | −0.254348 | − | 0.146848i | 0.367405 | − | 0.930061i | \(-0.380246\pi\) |
−0.621754 | + | 0.783213i | \(0.713580\pi\) | |||||||
\(224\) | 1.49953 | − | 3.88768i | 0.100192 | − | 0.259756i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.53582 | − | 14.7845i | −0.567794 | − | 0.983449i | ||||
\(227\) | −4.83697 | − | 8.37788i | −0.321041 | − | 0.556059i | 0.659662 | − | 0.751562i | \(-0.270699\pi\) |
−0.980703 | + | 0.195503i | \(0.937366\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.66705 | + | 4.42657i | 0.506653 | + | 0.292516i | 0.731457 | − | 0.681888i | \(-0.238841\pi\) |
−0.224804 | + | 0.974404i | \(0.572174\pi\) | |||||||
\(230\) | −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 | −0.0876651 | − | 0.996150i | \(-0.527941\pi\) |
0.818859 | + | 0.573995i | \(0.194607\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.374571 | + | 0.648777i | −0.0244343 | + | 0.0423215i | ||||
\(236\) | −0.876035 | −0.0570250 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −13.5455 | − | 16.7825i | −0.878022 | − | 1.08785i | ||||
\(239\) | −4.18421 | + | 2.41575i | −0.270654 | + | 0.156262i | −0.629185 | − | 0.777256i | \(-0.716611\pi\) |
0.358531 | + | 0.933518i | \(0.383278\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.68938 | + | 5.01681i | −0.559732 | + | 0.323161i | −0.753038 | − | 0.657977i | \(-0.771412\pi\) |
0.193306 | + | 0.981139i | \(0.438079\pi\) | |||||||
\(242\) | −4.93045 | − | 2.84659i | −0.316941 | − | 0.182986i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 0.976932i | − | 0.0625417i | ||||||
\(245\) | 5.17070 | − | 1.66166i | 0.330344 | − | 0.106160i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.638125 | + | 1.10526i | −0.0406029 | + | 0.0703263i | ||||
\(248\) | 17.0257 | 1.08113 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 11.0112i | − | 0.696407i | ||||||
\(251\) | −7.98203 | −0.503821 | −0.251911 | − | 0.967751i | \(-0.581059\pi\) | ||||
−0.251911 | + | 0.967751i | \(0.581059\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.214137 | 0.0134627 | ||||||||
\(254\) | − | 4.01171i | − | 0.251717i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.60319 | 0.412700 | ||||||||
\(257\) | 1.34115 | − | 2.32294i | 0.0836585 | − | 0.144901i | −0.821160 | − | 0.570698i | \(-0.806673\pi\) |
0.904819 | + | 0.425797i | \(0.140006\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.57849 | − | 16.4514i | −0.160219 | − | 1.02224i | ||||
\(260\) | 0.638544i | 0.0396008i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.7712 | − | 6.21874i | −0.665445 | − | 0.384195i | ||||
\(263\) | 20.2961 | − | 11.7179i | 1.25151 | − | 0.722560i | 0.280101 | − | 0.959971i | \(-0.409632\pi\) |
0.971409 | + | 0.237411i | \(0.0762989\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.01556 | + | 2.89573i | −0.308103 | + | 0.177883i | ||||
\(266\) | −0.268992 | − | 1.71624i | −0.0164929 | − | 0.105229i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.17812 | 0.0719651 | ||||||||
\(269\) | −1.98955 | + | 3.44600i | −0.121305 | + | 0.210106i | −0.920283 | − | 0.391254i | \(-0.872041\pi\) |
0.798978 | + | 0.601361i | \(0.205375\pi\) | |||||||
\(270\) | 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 | ||||
\(275\) | 14.6379 | + | 8.45120i | 0.882699 | + | 0.509626i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.84547 | + | 17.0529i | 0.591557 | + | 1.02461i | 0.994023 | + | 0.109172i | \(0.0348199\pi\) |
−0.402466 | + | 0.915435i | \(0.631847\pi\) | |||||||
\(278\) | −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 | 0.275279 | − | 0.961364i | \(-0.411230\pi\) |
−0.694926 | + | 0.719081i | \(0.744563\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.34396i | 0.0798899i | 0.999202 | + | 0.0399450i | \(0.0127183\pi\) | ||||
−0.999202 | + | 0.0399450i | \(0.987282\pi\) | |||||||
\(284\) | 0.983629i | 0.0583676i | ||||||||
\(285\) | 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 | ||||
\(290\) | −0.127169 | − | 0.220262i | −0.00746760 | − | 0.0129343i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.97936 | + | 1.14279i | 0.115834 | + | 0.0668765i | ||||
\(293\) | −10.6300 | − | 18.4117i | −0.621012 | − | 1.07562i | −0.989298 | − | 0.145912i | \(-0.953388\pi\) |
0.368285 | − | 0.929713i | \(-0.379945\pi\) | |||||||
\(294\) | 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 | ||||
\(299\) | 0.163547 | 0.00945815 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −26.4641 | + | 21.3597i | −1.52537 | + | 1.23115i | ||||
\(302\) | −6.87261 | + | 3.96790i | −0.395474 | + | 0.228327i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.68776 | − | 0.974430i | 0.0967998 | − | 0.0558874i | ||||
\(305\) | 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 | \(0.876969\pi\) | |||||||
\(308\) | 2.81662 | − | 0.441458i | 0.160492 | − | 0.0251544i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.84093 | − | 6.65268i | 0.218150 | − | 0.377847i | ||||
\(311\) | −20.5373 | −1.16457 | −0.582283 | − | 0.812986i | \(-0.697840\pi\) | ||||
−0.582283 | + | 0.812986i | \(0.697840\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 16.5094i | − | 0.933168i | −0.884477 | − | 0.466584i | \(-0.845485\pi\) | ||
0.884477 | − | 0.466584i | \(-0.154515\pi\) | |||||||
\(314\) | −12.0629 | −0.680746 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.39133 | 0.0782685 | ||||||||
\(317\) | − | 9.36591i | − | 0.526042i | −0.964790 | − | 0.263021i | \(-0.915281\pi\) | ||
0.964790 | − | 0.263021i | \(-0.0847188\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.834266 | 0.0467099 | ||||||||
\(320\) | −2.55497 | + | 4.42534i | −0.142827 | + | 0.247384i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.173229 | + | 0.139817i | −0.00965369 | + | 0.00779169i | ||||
\(323\) | − | 2.34708i | − | 0.130595i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.1797 | + | 6.45459i | 0.620137 | + | 0.358036i | ||||
\(326\) | 15.0455 | − | 8.68653i | 0.833294 | − | 0.481102i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 17.0356 | − | 9.83548i | 0.940631 | − | 0.543074i | ||||
\(329\) | 2.38344 | + | 0.919324i | 0.131403 | + | 0.0506840i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 28.8439 | 1.58540 | 0.792702 | − | 0.609609i | \(-0.208674\pi\) | ||||
0.792702 | + | 0.609609i | \(0.208674\pi\) | |||||||
\(332\) | 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 | 0.643525 | − | 0.765425i | \(-0.277471\pi\) |
−0.984640 | + | 0.174596i | \(0.944138\pi\) | |||||||
\(338\) | 5.73388 | + | 3.31046i | 0.311882 | + | 0.180065i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.587156 | − | 1.01698i | −0.0318430 | − | 0.0551537i | ||||
\(341\) | 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 | ||||||||
\(346\) | 2.58648i | 0.139050i | ||||||||
\(347\) | 28.7220i | 1.54188i | 0.636908 | + | 0.770939i | \(0.280213\pi\) | ||||
−0.636908 | + | 0.770939i | \(0.719787\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.0854 | − | 6.40017i | −0.593389 | − | 0.342593i | 0.173048 | − | 0.984913i | \(-0.444639\pi\) |
−0.766436 | + | 0.642320i | \(0.777972\pi\) | |||||||
\(350\) | −17.3596 | + | 2.72083i | −0.927911 | + | 0.145435i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.02636 | + | 5.24181i | 0.161305 | + | 0.279389i | ||||
\(353\) | 13.4991 | + | 23.3811i | 0.718485 | + | 1.24445i | 0.961600 | + | 0.274455i | \(0.0884975\pi\) |
−0.243115 | + | 0.969998i | \(0.578169\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.35721 | − | 1.36093i | −0.125108 | − | 0.0722309i | ||||
\(356\) | −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 | −0.976987 | − | 0.213300i | \(-0.931579\pi\) |
−0.303770 | + | 0.952745i | \(0.598245\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.40547 | + | 16.2908i | −0.495025 | + | 0.857408i | ||||
\(362\) | 7.29598 | 0.383468 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.15118 | − | 0.337162i | 0.112753 | − | 0.0176721i | ||||
\(365\) | −5.47724 | + | 3.16228i | −0.286692 | + | 0.165522i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.9584 | + | 16.7191i | −1.51161 | + | 0.872731i | −0.511706 | + | 0.859160i | \(0.670986\pi\) |
−0.999908 | + | 0.0135705i | \(0.995680\pi\) | |||||||
\(368\) | −0.216281 | − | 0.124870i | −0.0112744 | − | 0.00650928i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 7.37430i | − | 0.383372i | ||||||
\(371\) | 12.4037 | + | 15.3679i | 0.643968 | + | 0.797859i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.98403 | − | 6.90053i | 0.206285 | − | 0.357296i | −0.744256 | − | 0.667894i | \(-0.767196\pi\) |
0.950541 | + | 0.310598i | \(0.100529\pi\) | |||||||
\(374\) | 31.3278 | 1.61992 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.50730i | 0.129304i | ||||||||
\(377\) | 0.637169 | 0.0328159 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.88714 | 0.199669 | 0.0998345 | − | 0.995004i | \(-0.468169\pi\) | ||||
0.0998345 | + | 0.995004i | \(0.468169\pi\) | |||||||
\(380\) | − | 0.0945895i | − | 0.00485234i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.74487 | 0.242769 | ||||||||
\(383\) | −6.34150 | + | 10.9838i | −0.324036 | + | 0.561246i | −0.981317 | − | 0.192399i | \(-0.938373\pi\) |
0.657281 | + | 0.753646i | \(0.271706\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.83910 | + | 7.36064i | −0.144694 | + | 0.375133i | ||||
\(386\) | − | 9.07592i | − | 0.461952i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.348133 | + | 0.200995i | 0.0176738 | + | 0.0102040i | ||||
\(389\) | −17.8067 | + | 10.2807i | −0.902835 | + | 0.521252i | −0.878119 | − | 0.478442i | \(-0.841202\pi\) |
−0.0247163 | + | 0.999695i | \(0.507868\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.260474 | + | 0.150385i | −0.0131727 | + | 0.00760529i | ||||
\(392\) | 12.2066 | − | 13.4692i | 0.616524 | − | 0.680298i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 21.2775 | 1.07195 | ||||||||
\(395\) | −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 | ||||
\(401\) | −8.93429 | − | 5.15821i | −0.446157 | − | 0.257589i | 0.260049 | − | 0.965595i | \(-0.416261\pi\) |
−0.706206 | + | 0.708007i | \(0.749595\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.62235 | + | 16.6664i | 0.479323 | + | 0.830212i | ||||
\(404\) | 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 | ||||||||
\(409\) | − | 18.5199i | − | 0.915750i | −0.889017 | − | 0.457875i | \(-0.848611\pi\) | ||
0.889017 | − | 0.457875i | \(-0.151389\pi\) | |||||||
\(410\) | − | 8.87539i | − | 0.438324i | ||||||
\(411\) | 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 | ||||
\(416\) | 2.31138 | + | 4.00342i | 0.113325 | + | 0.196284i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.18535 | + | 1.26171i | 0.106889 | + | 0.0617122i | ||||
\(419\) | 6.37677 | + | 11.0449i | 0.311526 | + | 0.539578i | 0.978693 | − | 0.205330i | \(-0.0658267\pi\) |
−0.667167 | + | 0.744908i | \(0.732493\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.78793 | − | 11.7570i | 0.330824 | − | 0.573003i | −0.651850 | − | 0.758348i | \(-0.726007\pi\) |
0.982674 | + | 0.185345i | \(0.0593402\pi\) | |||||||
\(422\) | 6.74347 | − | 3.89334i | 0.328267 | − | 0.189525i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.69173 | + | 16.7866i | −0.470672 | + | 0.815227i | ||||
\(425\) | −23.7406 | −1.15159 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.31745 | − | 8.60081i | 0.160543 | − | 0.416222i | ||||
\(428\) | 0.943342 | − | 0.544639i | 0.0455982 | − | 0.0263261i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −13.0427 | + | 7.53020i | −0.628975 | + | 0.363139i | ||||
\(431\) | 31.3069 | + | 18.0750i | 1.50800 | + | 0.870643i | 0.999957 | + | 0.00931038i | \(0.00296363\pi\) |
0.508041 | + | 0.861333i | \(0.330370\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 33.0085i | 1.58629i | 0.609034 | + | 0.793144i | \(0.291557\pi\) | ||||
−0.609034 | + | 0.793144i | \(0.708443\pi\) | |||||||
\(434\) | −24.4402 | − | 9.42693i | −1.17317 | − | 0.452507i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.359608 | + | 0.622859i | −0.0172221 | + | 0.0298295i | ||||
\(437\) | −0.0242267 | −0.00115892 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 30.5618i | − | 1.45863i | −0.684176 | − | 0.729317i | \(-0.739838\pi\) | ||
0.684176 | − | 0.729317i | \(-0.260162\pi\) | |||||||
\(440\) | −7.74318 | −0.369141 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.9266 | 1.13807 | ||||||||
\(443\) | 20.7026i | 0.983612i | 0.870705 | + | 0.491806i | \(0.163663\pi\) | ||||
−0.870705 | + | 0.491806i | \(0.836337\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.1353 | 0.575270 | ||||||||
\(446\) | −3.31150 | + | 5.73569i | −0.156804 | + | 0.271593i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 16.2576 | + | 6.27076i | 0.768097 | + | 0.296266i | ||||
\(449\) | − | 6.40243i | − | 0.302150i | −0.988522 | − | 0.151075i | \(-0.951727\pi\) | ||
0.988522 | − | 0.151075i | \(-0.0482734\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 25.2123 | + | 14.5563i | 1.18720 | + | 0.685431i | ||||
\(452\) | −2.74510 | + | 1.58489i | −0.129119 | + | 0.0745467i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.6514 | + | 7.30428i | −0.593759 | + | 0.342807i | ||||
\(455\) | −2.16836 | + | 5.62168i | −0.101654 | + | 0.263548i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.14680 | −0.147201 | −0.0736007 | − | 0.997288i | \(-0.523449\pi\) | ||||
−0.0736007 | + | 0.997288i | \(0.523449\pi\) | |||||||
\(458\) | 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 | \(-0.720663\pi\) |
0.985647 | + | 0.168821i | \(0.0539959\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.3616 | + | 23.1429i | 0.620964 | + | 1.07554i | 0.989307 | + | 0.145851i | \(0.0465921\pi\) |
−0.368342 | + | 0.929690i | \(0.620075\pi\) | |||||||
\(464\) | −0.842618 | − | 0.486486i | −0.0391175 | − | 0.0225845i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.73092 | − | 16.8544i | −0.450776 | − | 0.780767i | ||||
\(467\) | −12.3967 | − | 21.4717i | −0.573650 | − | 0.993591i | −0.996187 | − | 0.0872454i | \(-0.972194\pi\) |
0.422537 | − | 0.906346i | \(-0.361140\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.3720 | + | 4.00063i | 0.478936 | + | 0.184732i | ||||
\(470\) | 0.979714 | + | 0.565638i | 0.0451908 | + | 0.0260909i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 8.11334i | − | 0.373447i | ||||||
\(473\) | − | 49.4005i | − | 2.27144i | ||||||
\(474\) | 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 | ||||
\(479\) | −6.26354 | − | 10.8488i | −0.286189 | − | 0.495693i | 0.686708 | − | 0.726933i | \(-0.259055\pi\) |
−0.972897 | + | 0.231240i | \(0.925722\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.9991 | + | 9.23711i | 0.729498 | + | 0.421176i | ||||
\(482\) | 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 | \(0.142158\pi\) | |||||||
\(488\) | 9.04780 | 0.409575 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.50927 | − | 7.80824i | −0.113357 | − | 0.352740i | ||||
\(491\) | −0.780171 | + | 0.450432i | −0.0352086 | + | 0.0203277i | −0.517501 | − | 0.855683i | \(-0.673138\pi\) |
0.482292 | + | 0.876010i | \(0.339804\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.01479 | + | 0.585891i | −0.0457040 | + | 0.0263872i | ||||
\(494\) | 1.66905 | + | 0.963629i | 0.0750943 | + | 0.0433557i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 29.3871i | − | 1.31952i | ||||||
\(497\) | −3.34019 | + | 8.65976i | −0.149828 | + | 0.388443i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.9344 | + | 18.9390i | −0.489492 | + | 0.847825i | −0.999927 | − | 0.0120916i | \(-0.996151\pi\) |
0.510435 | + | 0.859916i | \(0.329484\pi\) | |||||||
\(500\) | −2.04449 | −0.0914325 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.0536i | 0.537979i | ||||||||
\(503\) | 42.9876 | 1.91672 | 0.958362 | − | 0.285557i | \(-0.0921785\pi\) | ||||
0.958362 | + | 0.285557i | \(0.0921785\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.4310 | −0.553173 | ||||||||
\(506\) | − | 0.323367i | − | 0.0143754i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.744873 | −0.0330484 | ||||||||
\(509\) | 15.0416 | − | 26.0528i | 0.666708 | − | 1.15477i | −0.312111 | − | 0.950046i | \(-0.601036\pi\) |
0.978819 | − | 0.204727i | \(-0.0656305\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.5455 | + | 16.7825i | 0.599216 | + | 0.742412i | ||||
\(512\) | 16.2193i | 0.716799i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.50785 | − | 2.02526i | −0.154725 | − | 0.0893304i | ||||
\(515\) | −11.3327 | + | 6.54296i | −0.499380 | + | 0.288317i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.21362 | + | 1.85538i | −0.141335 | + | 0.0815997i | ||||
\(518\) | −24.8432 | + | 3.89376i | −1.09155 | + | 0.171082i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.91384 | −0.259339 | ||||||||
\(521\) | 6.00837 | − | 10.4068i | 0.263231 | − | 0.455930i | −0.703867 | − | 0.710331i | \(-0.748545\pi\) |
0.967099 | + | 0.254401i | \(0.0818784\pi\) | |||||||
\(522\) | 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 | ||||
\(527\) | −30.6503 | − | 17.6959i | −1.33515 | − | 0.770847i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.4984 | − | 19.9159i | −0.499933 | − | 0.865909i | ||||
\(530\) | 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 | ||||||||
\(535\) | 3.01422i | 0.130316i | ||||||||
\(536\) | 10.9111i | 0.471286i | ||||||||
\(537\) | 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 | \(-0.529211\pi\) | |||||||
\(542\) | −9.44245 | − | 16.3548i | −0.405588 | − | 0.702499i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.36247 | − | 4.25072i | −0.315663 | − | 0.182248i | ||||
\(545\) | −0.995095 | − | 1.72356i | −0.0426252 | − | 0.0738290i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.92349 | + | 11.9918i | −0.296027 | + | 0.512734i | −0.975223 | − | 0.221223i | \(-0.928995\pi\) |
0.679196 | + | 0.733957i | \(0.262329\pi\) | |||||||
\(548\) | 4.20741 | − | 2.42915i | 0.179732 | − | 0.103768i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 12.7621 | − | 22.1046i | 0.544178 | − | 0.942544i | ||||
\(551\) | −0.0943858 | −0.00402097 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.2491 | + | 4.72466i | 0.520886 | + | 0.200913i | ||||
\(554\) | 25.7514 | − | 14.8676i | 1.09407 | − | 0.631664i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.53561 | + | 0.886585i | −0.0651244 | + | 0.0375996i | ||||
\(557\) | −27.2305 | − | 15.7215i | −1.15379 | − | 0.666143i | −0.203985 | − | 0.978974i | \(-0.565389\pi\) |
−0.949809 | + | 0.312831i | \(0.898723\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 37.7296i | − | 1.59579i | ||||||
\(560\) | 7.15973 | − | 5.77876i | 0.302554 | − | 0.244197i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.13311 | + | 10.6229i | −0.258710 | + | 0.448098i | ||||
\(563\) | −34.1657 | −1.43991 | −0.719956 | − | 0.694019i | \(-0.755838\pi\) | ||||
−0.719956 | + | 0.694019i | \(0.755838\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 8.77129i | − | 0.369011i | ||||||
\(566\) | 2.02950 | 0.0853063 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.10981 | −0.382239 | ||||||||
\(569\) | − | 22.7074i | − | 0.951944i | −0.879461 | − | 0.475972i | \(-0.842096\pi\) | ||
0.879461 | − | 0.475972i | \(-0.157904\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.5986 | −0.443538 | −0.221769 | − | 0.975099i | \(-0.571183\pi\) | ||||
−0.221769 | + | 0.975099i | \(0.571183\pi\) | |||||||
\(572\) | −1.58147 | + | 2.73918i | −0.0661245 | + | 0.114531i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −29.9002 | + | 4.68636i | −1.24801 | + | 0.195605i | ||||
\(575\) | 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 | \(0.764782\pi\) | |||||||
\(578\) | −15.8746 | + | 9.16520i | −0.660296 | + | 0.381222i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0408971 | + | 0.0236120i | −0.00169816 | + | 0.000980434i | ||||
\(581\) | 17.7484 | − | 14.3250i | 0.736326 | − | 0.594303i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −28.6872 | −1.18810 | ||||||||
\(584\) | −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 | 0.365991 | + | 0.930619i | \(0.380730\pi\) |
−0.988935 | + | 0.148352i | \(0.952603\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.42539 | − | 2.46884i | −0.0587321 | − | 0.101727i | ||||
\(590\) | −3.17024 | − | 1.83034i | −0.130517 | − | 0.0753538i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −14.1053 | − | 24.4310i | −0.579723 | − | 1.00411i | ||||
\(593\) | 15.2911 | + | 26.4850i | 0.627930 | + | 1.08761i | 0.987966 | + | 0.154669i | \(0.0494310\pi\) |
−0.360036 | + | 0.932938i | \(0.617236\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.71580 | − | 10.9473i | −0.0703411 | − | 0.448794i | ||||
\(596\) | −3.11400 | − | 1.79787i | −0.127554 | − | 0.0736435i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 0.246971i | − | 0.0100994i | ||||||
\(599\) | 2.70052i | 0.110340i | 0.998477 | + | 0.0551701i | \(0.0175701\pi\) | ||||
−0.998477 | + | 0.0551701i | \(0.982430\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.0197 | + | 12.1357i | 0.857411 | + | 0.495026i | 0.863144 | − | 0.504957i | \(-0.168492\pi\) |
−0.00573343 | + | 0.999984i | \(0.501825\pi\) | |||||||
\(602\) | 32.2552 | + | 39.9633i | 1.31462 | + | 1.62878i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.736739 | + | 1.27607i | 0.0299775 | + | 0.0519225i | ||||
\(605\) | −1.46256 | − | 2.53323i | −0.0594616 | − | 0.102990i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 18.5486 | + | 10.7090i | 0.752865 | + | 0.434667i | 0.826728 | − | 0.562601i | \(-0.190199\pi\) |
−0.0738631 | + | 0.997268i | \(0.523533\pi\) | |||||||
\(608\) | −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 | \(0.204723\pi\) | |||||||
\(614\) | 19.9481 | 0.805039 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.08853 | + | 26.0859i | 0.164732 | + | 1.05103i | ||||
\(617\) | 1.19246 | − | 0.688465i | 0.0480065 | − | 0.0277166i | −0.475805 | − | 0.879551i | \(-0.657843\pi\) |
0.523811 | + | 0.851834i | \(0.324510\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.2918 | − | 16.9116i | 1.17734 | − | 0.679736i | 0.221941 | − | 0.975060i | \(-0.428761\pi\) |
0.955397 | + | 0.295324i | \(0.0954275\pi\) | |||||||
\(620\) | −1.23523 | − | 0.713163i | −0.0496082 | − | 0.0286413i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 31.0133i | 1.24352i | ||||||||
\(623\) | −6.40767 | − | 40.8826i | −0.256718 | − | 1.63793i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.16631 | + | 14.1445i | −0.326652 | + | 0.565779i | ||||
\(626\) | −24.9308 | −0.996435 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.23977i | 0.0893764i | ||||||||
\(629\) | −33.9749 | −1.35467 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.0205 | −0.996049 | −0.498024 | − | 0.867163i | \(-0.665941\pi\) | ||||
−0.498024 | + | 0.867163i | \(0.665941\pi\) | |||||||
\(632\) | 12.8857i | 0.512567i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.1434 | −0.561707 | ||||||||
\(635\) | 1.03059 | − | 1.78504i | 0.0408979 | − | 0.0708373i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 20.0837 | + | 4.33661i | 0.795746 | + | 0.171823i | ||||
\(638\) | − | 1.25982i | − | 0.0498768i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.79916 | + | 5.08020i | 0.347817 | + | 0.200812i | ||||
\(641\) | −9.25173 | + | 5.34149i | −0.365421 | + | 0.210976i | −0.671456 | − | 0.741044i | \(-0.734331\pi\) |
0.306035 | + | 0.952020i | \(0.400998\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 38.1128 | − | 22.0044i | 1.50302 | − | 0.867771i | 0.503029 | − | 0.864270i | \(-0.332219\pi\) |
0.999994 | − | 0.00350106i | \(-0.00111442\pi\) | |||||||
\(644\) | 0.0259604 | + | 0.0321643i | 0.00102298 | + | 0.00126745i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.54431 | −0.139449 | ||||||||
\(647\) | 23.5043 | − | 40.7107i | 0.924050 | − | 1.60050i | 0.130968 | − | 0.991387i | \(-0.458192\pi\) |
0.793082 | − | 0.609115i | \(-0.208475\pi\) | |||||||
\(648\) | 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 | ||||
\(653\) | 29.3918 | + | 16.9694i | 1.15019 | + | 0.664063i | 0.948934 | − | 0.315475i | \(-0.102164\pi\) |
0.201257 | + | 0.979538i | \(0.435497\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.19515 | − | 5.53416i | −0.124845 | − | 0.216237i | ||||
\(656\) | −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 | 0.526380 | − | 0.850249i | \(-0.323549\pi\) |
−0.473148 | + | 0.880983i | \(0.656882\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.40720i | 0.0936293i | 0.998904 | + | 0.0468147i | \(0.0149070\pi\) | ||||
−0.998904 | + | 0.0468147i | \(0.985093\pi\) | |||||||
\(662\) | − | 43.5570i | − | 1.69289i | ||||||
\(663\) | 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 | ||||
\(668\) | 2.35031 | + | 4.07086i | 0.0909363 | + | 0.157506i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.26344 | + | 2.46150i | 0.164711 | + | 0.0950959i | ||||
\(671\) | 6.69529 | + | 11.5966i | 0.258469 | + | 0.447681i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.1767 | − | 21.0906i | 0.469377 | − | 0.812984i | −0.530010 | − | 0.847991i | \(-0.677812\pi\) |
0.999387 | + | 0.0350069i | \(0.0111453\pi\) | |||||||
\(674\) | −16.3788 | + | 9.45629i | −0.630887 | + | 0.364243i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.614668 | − | 1.06464i | 0.0236411 | − | 0.0409476i | ||||
\(677\) | 9.67694 | 0.371915 | 0.185958 | − | 0.982558i | \(-0.440461\pi\) | ||||
0.185958 | + | 0.982558i | \(0.440461\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.38239 | + | 2.95172i | 0.0914278 | + | 0.113277i | ||||
\(680\) | 9.41873 | − | 5.43791i | 0.361192 | − | 0.208534i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 32.9531 | − | 19.0255i | 1.26184 | − | 0.728522i | ||||
\(683\) | 18.6341 | + | 10.7584i | 0.713012 | + | 0.411658i | 0.812175 | − | 0.583413i | \(-0.198283\pi\) |
−0.0991632 | + | 0.995071i | \(0.531617\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.4437i | 0.513659i | ||||||||
\(686\) | −24.9802 | + | 12.5763i | −0.953747 | + | 0.480166i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −28.8069 | + | 49.8951i | −1.09825 | + | 1.90223i | ||||
\(689\) | −21.9098 | −0.834696 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.4425i | 1.12005i | 0.828477 | + | 0.560023i | \(0.189208\pi\) | ||||
−0.828477 | + | 0.560023i | \(0.810792\pi\) | |||||||
\(692\) | 0.480244 | 0.0182561 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.3730 | 1.64642 | ||||||||
\(695\) | − | 4.90666i | − | 0.186120i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −40.8907 | −1.54885 | ||||||||
\(698\) | −9.66486 | + | 16.7400i | −0.365820 | + | 0.633619i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.505189 | + | 3.22324i | 0.0190944 | + | 0.121827i | ||||
\(701\) | − | 40.4325i | − | 1.52712i | −0.645740 | − | 0.763558i | \(-0.723451\pi\) | ||
0.645740 | − | 0.763558i | \(-0.276549\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.37000 | − | 1.36832i | −0.0893863 | − | 0.0516072i | ||||
\(704\) | −21.9203 | + | 12.6557i | −0.826151 | + | 0.476979i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 35.3077 | − | 20.3849i | 1.32882 | − | 0.767197i | ||||
\(707\) | 6.56380 | + | 41.8787i | 0.246857 | + | 1.57501i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.9023 | −0.597223 | −0.298611 | − | 0.954375i | \(-0.596523\pi\) | ||||
−0.298611 | + | 0.954375i | \(0.596523\pi\) | |||||||
\(710\) | −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 | ||||
\(716\) | 3.48076 | + | 2.00962i | 0.130082 | + | 0.0751028i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 21.1572 | + | 36.6453i | 0.789578 | + | 1.36759i | ||||
\(719\) | −13.0488 | − | 22.6012i | −0.486638 | − | 0.842883i | 0.513244 | − | 0.858243i | \(-0.328444\pi\) |
−0.999882 | + | 0.0153605i | \(0.995110\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 28.0264 | + | 34.7239i | 1.04376 | + | 1.29319i | ||||
\(722\) | 24.6006 | + | 14.2032i | 0.915539 | + | 0.528587i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 1.35468i | − | 0.0503463i | ||||||
\(725\) | 0.954706i | 0.0354569i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.74533 | − | 2.16237i | −0.138907 | − | 0.0801977i | 0.428936 | − | 0.903335i | \(-0.358889\pi\) |
−0.567843 | + | 0.823137i | \(0.692222\pi\) | |||||||
\(728\) | 3.12261 | + | 19.9231i | 0.115732 | + | 0.738398i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.77535 | + | 8.27115i | 0.176744 | + | 0.306129i | ||||
\(731\) | 34.6932 | + | 60.0904i | 1.28317 | + | 2.22252i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −36.6480 | − | 21.1587i | −1.35362 | − | 0.781515i | −0.364869 | − | 0.931059i | \(-0.618886\pi\) |
−0.988755 | + | 0.149544i | \(0.952219\pi\) | |||||||
\(734\) | 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 | \(0.147672\pi\) | |||||||
\(740\) | −1.36922 | −0.0503336 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 23.2069 | − | 18.7308i | 0.851953 | − | 0.687628i | ||||
\(743\) | −5.41770 | + | 3.12791i | −0.198756 | + | 0.114752i | −0.596075 | − | 0.802929i | \(-0.703274\pi\) |
0.397319 | + | 0.917681i | \(0.369941\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.61696 | − | 4.97500i | 0.315701 | − | 0.182270i | ||||
\(746\) | −10.4205 | − | 6.01626i | −0.381520 | − | 0.220271i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 5.81678i | − | 0.212682i | ||||||
\(749\) | 10.1546 | − | 1.59156i | 0.371040 | − | 0.0581543i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.45315 | − | 16.3733i | 0.344950 | − | 0.597471i | −0.640395 | − | 0.768046i | \(-0.721229\pi\) |
0.985345 | + | 0.170575i | \(0.0545625\pi\) | |||||||
\(752\) | 4.32772 | 0.157816 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 0.962186i | − | 0.0350407i | ||||||
\(755\) | −4.07736 | −0.148390 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.7873 | −1.48244 | −0.741220 | − | 0.671262i | \(-0.765752\pi\) | ||||
−0.741220 | + | 0.671262i | \(0.765752\pi\) | |||||||
\(758\) | − | 5.86995i | − | 0.213206i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.876035 | 0.0317771 | ||||||||
\(761\) | 21.3106 | − | 36.9110i | 0.772508 | − | 1.33802i | −0.163676 | − | 0.986514i | \(-0.552335\pi\) |
0.936184 | − | 0.351509i | \(-0.114331\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.28104 | + | 4.26243i | −0.191186 | + | 0.154310i | ||||
\(764\) | − | 0.881003i | − | 0.0318736i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.5866 | + | 9.57627i | 0.599298 | + | 0.346005i | ||||
\(767\) | 7.94213 | − | 4.58539i | 0.286774 | − | 0.165569i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.932209 | − | 0.538211i | 0.0336163 | − | 0.0194084i | −0.483098 | − | 0.875566i | \(-0.660488\pi\) |
0.516714 | + | 0.856158i | \(0.327155\pi\) | |||||||
\(770\) | 11.1153 | + | 4.28731i | 0.400566 | + | 0.154504i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.68517 | −0.0606506 | ||||||||
\(773\) | 2.96855 | − | 5.14169i | 0.106771 | − | 0.184934i | −0.807689 | − | 0.589609i | \(-0.799282\pi\) |
0.914461 | + | 0.404675i | \(0.132615\pi\) | |||||||
\(774\) | 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 | ||||
\(779\) | −2.85243 | − | 1.64685i | −0.102199 | − | 0.0590046i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.74118 | − | 11.6761i | −0.241218 | − | 0.417802i | ||||
\(782\) | 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 | ||||||||
\(787\) | − | 8.83847i | − | 0.315057i | −0.987514 | − | 0.157529i | \(-0.949647\pi\) | ||
0.987514 | − | 0.157529i | \(-0.0503527\pi\) | |||||||
\(788\) | − | 3.95069i | − | 0.140738i | ||||||
\(789\) | 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 | ||||
\(794\) | −11.3033 | − | 19.5778i | −0.401138 | − | 0.694791i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.91850 | + | 1.10765i | 0.0679994 | + | 0.0392595i | ||||
\(797\) | 19.0123 | + | 32.9303i | 0.673450 | + | 1.16645i | 0.976919 | + | 0.213609i | \(0.0685218\pi\) |
−0.303469 | + | 0.952841i | \(0.598145\pi\) | |||||||
\(798\) | 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 | ||||
\(803\) | −31.3278 | −1.10553 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.112998 | + | 0.0177106i | −0.00398266 | + | 0.000624216i | ||||
\(806\) | 25.1678 | − | 14.5307i | 0.886499 | − | 0.511821i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −36.0313 | + | 20.8027i | −1.26758 | + | 0.731836i | ||||
\(809\) | 14.6570 | + | 8.46222i | 0.515312 | + | 0.297516i | 0.735015 | − | 0.678051i | \(-0.237175\pi\) |
−0.219702 | + | 0.975567i | \(0.570509\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.9840i | 0.947536i | 0.880650 | + | 0.473768i | \(0.157106\pi\) | ||||
−0.880650 | + | 0.473768i | \(0.842894\pi\) | |||||||
\(812\) | 0.101141 | + | 0.125310i | 0.00354934 | + | 0.00439753i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 18.2637 | − | 31.6337i | 0.640144 | − | 1.10876i | ||||
\(815\) | 8.92616 | 0.312670 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.58899i | 0.195534i | ||||||||
\(818\) | −27.9668 | −0.977836 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.64793 | −0.0575484 | ||||||||
\(821\) | − | 32.0512i | − | 1.11859i | −0.828967 | − | 0.559297i | \(-0.811071\pi\) | ||
0.828967 | − | 0.559297i | \(-0.188929\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 20.7948 | 0.724863 | 0.362431 | − | 0.932011i | \(-0.381947\pi\) | ||||
0.362431 | + | 0.932011i | \(0.381947\pi\) | |||||||
\(824\) | −21.8986 | + | 37.9295i | −0.762875 | + | 1.32134i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.49226 | + | 11.6466i | −0.156306 | + | 0.405238i | ||||
\(827\) | 34.0792i | 1.18505i | 0.805552 | + | 0.592525i | \(0.201869\pi\) | ||||
−0.805552 | + | 0.592525i | \(0.798131\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −29.3229 | − | 16.9296i | −1.01843 | − | 0.587988i | −0.104778 | − | 0.994496i | \(-0.533413\pi\) |
−0.913648 | + | 0.406507i | \(0.866747\pi\) | |||||||
\(830\) | 8.74718 | − | 5.05019i | 0.303619 | − | 0.175295i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −16.7416 | + | 9.66575i | −0.580410 | + | 0.335100i | ||||
\(833\) | −35.9742 | + | 11.5607i | −1.24643 | + | 0.400554i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.0074 | −0.450140 | ||||||||
\(836\) | 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 | \(-0.700216\pi\) |
0.994451 | + | 0.105205i | \(0.0335498\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.4764 | − | 25.0739i | −0.499188 | − | 0.864618i | ||||
\(842\) | −17.7542 | − | 10.2504i | −0.611852 | − | 0.353253i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.722895 | − | 1.25209i | −0.0248831 | − | 0.0430987i | ||||
\(845\) | 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 | ||||||||
\(850\) | 35.8505i | 1.22966i | ||||||||
\(851\) | 0.350691i | 0.0120215i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −39.7270 | − | 22.9364i | −1.36023 | − | 0.785328i | −0.370574 | − | 0.928803i | \(-0.620839\pi\) |
−0.989654 | + | 0.143475i | \(0.954172\pi\) | |||||||
\(854\) | −12.9880 | − | 5.00966i | −0.444441 | − | 0.171427i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.04414 | + | 8.73670i | 0.172405 | + | 0.298614i | ||||
\(857\) | −9.12274 | − | 15.8010i | −0.311627 | − | 0.539753i | 0.667088 | − | 0.744979i | \(-0.267540\pi\) |
−0.978715 | + | 0.205226i | \(0.934207\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.03737 | − | 2.90833i | −0.171873 | − | 0.0992309i | 0.411596 | − | 0.911367i | \(-0.364972\pi\) |
−0.583469 | + | 0.812136i | \(0.698305\pi\) | |||||||
\(860\) | 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 | −0.890938 | − | 0.454125i | \(-0.849952\pi\) |
−0.0521854 | + | 0.998637i | \(0.516619\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.664458 | + | 1.15087i | −0.0225922 | + | 0.0391309i | ||||
\(866\) | 49.8460 | 1.69384 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.75034 | + | 4.53793i | −0.0594104 | + | 0.154027i | ||||
\(869\) | −16.5157 | + | 9.53533i | −0.560256 | + | 0.323464i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −10.6808 | + | 6.16658i | −0.361906 | + | 0.208946i | ||||
\(872\) | −5.76857 | − | 3.33048i | −0.195348 | − | 0.112784i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.0365846i | 0.00123749i | ||||||||
\(875\) | −17.9995 | − | 6.94265i | −0.608494 | − | 0.234704i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 24.1949 | − | 41.9068i | 0.817004 | − | 1.41509i | −0.0908756 | − | 0.995862i | \(-0.528967\pi\) |
0.907880 | − | 0.419231i | \(-0.137700\pi\) | |||||||
\(878\) | −46.1512 | −1.55753 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 13.3651i | 0.450536i | ||||||||
\(881\) | 26.6822 | 0.898946 | 0.449473 | − | 0.893294i | \(-0.351612\pi\) | ||||
0.449473 | + | 0.893294i | \(0.351612\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.0484 | 1.17947 | 0.589737 | − | 0.807595i | \(-0.299231\pi\) | ||||
0.589737 | + | 0.807595i | \(0.299231\pi\) | |||||||
\(884\) | − | 4.44255i | − | 0.149419i | ||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 31.2629 | 1.05030 | ||||||||
\(887\) | −6.48380 | + | 11.2303i | −0.217705 | + | 0.377076i | −0.954106 | − | 0.299469i | \(-0.903190\pi\) |
0.736401 | + | 0.676545i | \(0.236524\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.55778 | − | 2.52943i | −0.219941 | − | 0.0848342i | ||||
\(890\) | − | 18.3255i | − | 0.614273i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.06497 | + | 0.614862i | 0.0356579 | + | 0.0205871i | ||||
\(893\) | 0.363577 | − | 0.209911i | 0.0121666 | − | 0.00702441i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.63184 | + | 5.56095i | −0.321957 | + | 0.185882i | ||||
\(896\) | 12.4685 | − | 32.3258i | 0.416544 | − | 1.07993i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.66828 | −0.322635 | ||||||||
\(899\) | −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 | ||||
\(905\) | 3.24641 | + | 1.87431i | 0.107914 | + | 0.0623043i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.56307 | + | 7.90346i | 0.151514 | + | 0.262430i | 0.931784 | − | 0.363012i | \(-0.118252\pi\) |
−0.780270 | + | 0.625443i | \(0.784918\pi\) | |||||||
\(908\) | 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 | −0.385503 | − | 0.922707i | \(-0.625972\pi\) |
−0.991839 | + | 0.127498i | \(0.959305\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.1308i | 1.09647i | ||||||||
\(914\) | 4.75197i | 0.157181i | ||||||||
\(915\) | 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 | \(0.606650\pi\) | |||||||
\(920\) | −0.0561303 | − | 0.0972206i | −0.00185056 | − | 0.00320527i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −19.4657 | − | 11.2385i | −0.641068 | − | 0.370121i | ||||
\(923\) | −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 | ||||
\(929\) | 23.5795 | 0.773618 | 0.386809 | − | 0.922160i | \(-0.373577\pi\) | ||||
0.386809 | + | 0.922160i | \(0.373577\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.97506 | − | 0.642395i | −0.0975038 | − | 0.0210537i | ||||
\(932\) | −3.12944 | + | 1.80679i | −0.102508 | + | 0.0591832i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −32.4243 | + | 18.7202i | −1.06096 | + | 0.612543i | ||||
\(935\) | 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 | \(-0.328160\pi\) | |||||||
\(938\) | 6.04134 | − | 15.6627i | 0.197257 | − | 0.511407i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.105025 | − | 0.181908i | 0.00342553 | − | 0.00593319i | ||||
\(941\) | 49.1425 | 1.60200 | 0.801000 | − | 0.598664i | \(-0.204302\pi\) | ||||
0.801000 | + | 0.598664i | \(0.204302\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.422076i | 0.0137447i | ||||||||
\(944\) | −14.0040 | −0.455791 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −74.5995 | −2.42544 | ||||||||
\(947\) | − | 9.29426i | − | 0.302023i | −0.988532 | − | 0.151012i | \(-0.951747\pi\) | ||
0.988532 | − | 0.151012i | \(-0.0482531\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.9266 | −0.776689 | ||||||||
\(950\) | −1.44386 | + | 2.50084i | −0.0468450 | + | 0.0811379i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −23.2930 | − | 28.8593i | −0.754929 | − | 0.935337i | ||||
\(953\) | − | 40.3761i | − | 1.30791i | −0.756534 | − | 0.653955i | \(-0.773109\pi\) | ||
0.756534 | − | 0.653955i | \(-0.226891\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.11127 | + | 1.21894i | 0.0683191 | + | 0.0394440i | ||||
\(956\) | 1.17319 | − | 0.677344i | 0.0379438 | − | 0.0219069i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.3827 | + | 9.45854i | −0.529300 | + | 0.305592i | ||||
\(959\) | 45.2905 | − | 7.09853i | 1.46251 | − | 0.229224i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.9872 | −0.386682 | ||||||||
\(962\) | 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 | 0.972011 | − | 0.234936i | \(-0.0754879\pi\) |
−0.689466 | + | 0.724318i | \(0.742155\pi\) | |||||||
\(968\) | −8.47846 | − | 4.89504i | −0.272508 | − | 0.157333i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.839894 | + | 1.45474i | 0.0269674 | + | 0.0467089i | ||||
\(971\) | −20.1321 | − | 34.8697i | −0.646068 | − | 1.11902i | −0.984054 | − | 0.177872i | \(-0.943079\pi\) |
0.337985 | − | 0.941151i | \(-0.390255\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16.5300 | + | 2.59080i | −0.529928 | + | 0.0830573i | ||||
\(974\) | −4.43986 | − | 2.56336i | −0.142262 | − | 0.0821353i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 15.6169i | − | 0.499885i | ||||||
\(977\) | − | 26.5109i | − | 0.848159i | −0.905625 | − | 0.424080i | \(-0.860598\pi\) | ||
0.905625 | − | 0.424080i | \(-0.139402\pi\) | |||||||
\(978\) | 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 | ||||
\(983\) | 19.1357 | + | 33.1440i | 0.610334 | + | 1.05713i | 0.991184 | + | 0.132493i | \(0.0422982\pi\) |
−0.380850 | + | 0.924637i | \(0.624368\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 9.46759 | + | 5.46612i | 0.301663 | + | 0.174165i | ||||
\(986\) | 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 | \(-0.251714\pi\) | |||||||
\(992\) | −10.3259 | −0.327848 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.0771 | + | 5.04400i | 0.414779 | + | 0.159986i | ||||
\(995\) | −5.30881 | + | 3.06504i | −0.168301 | + | 0.0971684i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.4807 | − | 7.20573i | 0.395267 | − | 0.228208i | −0.289173 | − | 0.957277i | \(-0.593380\pi\) |
0.684440 | + | 0.729069i | \(0.260047\pi\) | |||||||
\(998\) | 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 \(a_p\))