Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(68,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.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: | \(3.52140272914\) |
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 | 227.4 | ||
Root | \(-1.04536 - 1.81062i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.227 |
Dual form | 441.2.i.b.68.2 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 | \(0.179274\pi\) | ||||
−0.845548 | + | 0.533899i | \(0.820726\pi\) | |||||||
\(3\) | −0.811070 | + | 1.53041i | −0.468271 | + | 0.883585i | ||||
\(4\) | −0.280386 | −0.140193 | ||||||||
\(5\) | 0.387938 | − | 0.671929i | 0.173491 | − | 0.300496i | −0.766147 | − | 0.642666i | \(-0.777829\pi\) |
0.939638 | + | 0.342170i | \(0.111162\pi\) | |||||||
\(6\) | −2.31107 | − | 1.22479i | −0.943490 | − | 0.500019i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.59678i | 0.918100i | ||||||||
\(9\) | −1.68433 | − | 2.48254i | −0.561444 | − | 0.827515i | ||||
\(10\) | 1.01468 | + | 0.585823i | 0.320869 | + | 0.185254i | ||||
\(11\) | −3.32830 | + | 1.92159i | −1.00352 | + | 0.579382i | −0.909288 | − | 0.416168i | \(-0.863373\pi\) |
−0.0942318 | + | 0.995550i | \(0.530039\pi\) | |||||||
\(12\) | 0.227413 | − | 0.429107i | 0.0656484 | − | 0.123873i | ||||
\(13\) | −2.54198 | + | 1.46761i | −0.705019 | + | 0.407043i | −0.809214 | − | 0.587514i | \(-0.800107\pi\) |
0.104195 | + | 0.994557i | \(0.466773\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.713684 | + | 1.13869i | 0.184272 | + | 0.294008i | ||||
\(16\) | −4.48216 | −1.12054 | ||||||||
\(17\) | −2.69901 | + | 4.67482i | −0.654606 | + | 1.13381i | 0.327387 | + | 0.944890i | \(0.393832\pi\) |
−0.981993 | + | 0.188920i | \(0.939501\pi\) | |||||||
\(18\) | 3.74888 | − | 2.54350i | 0.883619 | − | 0.599509i | ||||
\(19\) | 0.376551 | − | 0.217402i | 0.0863868 | − | 0.0498755i | −0.456184 | − | 0.889885i | \(-0.650784\pi\) |
0.542571 | + | 0.840010i | \(0.317451\pi\) | |||||||
\(20\) | −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 | 0.494961 | − | 0.868915i | \(-0.335182\pi\) |
−0.505022 | + | 0.863106i | \(0.668516\pi\) | |||||||
\(24\) | −3.97415 | − | 2.10617i | −0.811219 | − | 0.429920i | ||||
\(25\) | 2.19901 | + | 3.80879i | 0.439802 | + | 0.761759i | ||||
\(26\) | −2.21624 | − | 3.83863i | −0.434640 | − | 0.752818i | ||||
\(27\) | 5.16543 | − | 0.564208i | 0.994088 | − | 0.108582i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.187994 | − | 0.108538i | −0.0349096 | − | 0.0201551i | 0.482444 | − | 0.875927i | \(-0.339749\pi\) |
−0.517353 | + | 0.855772i | \(0.673083\pi\) | |||||||
\(30\) | −1.71953 | + | 1.07773i | −0.313941 | + | 0.196766i | ||||
\(31\) | − | 6.55646i | − | 1.17757i | −0.808288 | − | 0.588787i | \(-0.799606\pi\) | ||
0.808288 | − | 0.588787i | \(-0.200394\pi\) | |||||||
\(32\) | − | 1.57492i | − | 0.278409i | ||||||
\(33\) | −0.241352 | − | 6.65222i | −0.0420139 | − | 1.15800i | ||||
\(34\) | −7.05942 | − | 4.07576i | −1.21068 | − | 0.698987i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.472264 | + | 0.696071i | 0.0787106 | + | 0.116012i | ||||
\(37\) | 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 | ||||
\(39\) | −0.184332 | − | 5.08062i | −0.0295167 | − | 0.813550i | ||||
\(40\) | 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 | ||||
\(45\) | −2.32151 | + | 0.168677i | −0.346070 | + | 0.0251449i | ||||
\(46\) | 0.0420702 | − | 0.0728677i | 0.00620291 | − | 0.0107437i | ||||
\(47\) | −0.965544 | −0.140839 | −0.0704195 | − | 0.997517i | \(-0.522434\pi\) | ||||
−0.0704195 | + | 0.997517i | \(0.522434\pi\) | |||||||
\(48\) | 3.63534 | − | 6.85955i | 0.524716 | − | 0.990091i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −5.75164 | + | 3.32071i | −0.813405 | + | 0.469619i | ||||
\(51\) | −4.96532 | − | 7.92220i | −0.695284 | − | 1.10933i | ||||
\(52\) | 0.712737 | − | 0.411499i | 0.0988388 | − | 0.0570646i | ||||
\(53\) | 6.46438 | + | 3.73221i | 0.887950 | + | 0.512658i | 0.873272 | − | 0.487234i | \(-0.161994\pi\) |
0.0146788 | + | 0.999892i | \(0.495327\pi\) | |||||||
\(54\) | 0.852008 | + | 7.80029i | 0.115944 | + | 1.06148i | ||||
\(55\) | 2.98184i | 0.402071i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.0273056 | + | 0.752608i | 0.00361672 | + | 0.0996853i | ||||
\(58\) | 0.163903 | − | 0.283889i | 0.0215215 | − | 0.0372764i | ||||
\(59\) | 3.12439 | 0.406760 | 0.203380 | − | 0.979100i | \(-0.434807\pi\) | ||||
0.203380 | + | 0.979100i | \(0.434807\pi\) | |||||||
\(60\) | −0.200107 | − | 0.319272i | −0.0258337 | − | 0.0412179i | ||||
\(61\) | − | 3.48424i | − | 0.446111i | −0.974806 | − | 0.223055i | \(-0.928397\pi\) | ||
0.974806 | − | 0.223055i | \(-0.0716031\pi\) | |||||||
\(62\) | 9.90087 | 1.25741 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.58603 | −0.823254 | ||||||||
\(65\) | 2.27737i | 0.282473i | ||||||||
\(66\) | 10.0455 | − | 0.364464i | 1.23651 | − | 0.0448624i | ||||
\(67\) | −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 | ||||
\(69\) | 0.0817733 | − | 0.0512523i | 0.00984435 | − | 0.00617005i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.50812i | 0.416337i | 0.978093 | + | 0.208169i | \(0.0667503\pi\) | ||||
−0.978093 | + | 0.208169i | \(0.933250\pi\) | |||||||
\(72\) | 6.44662 | − | 4.37384i | 0.759742 | − | 0.515462i | ||||
\(73\) | 7.05942 | + | 4.07576i | 0.826243 | + | 0.477031i | 0.852564 | − | 0.522622i | \(-0.175046\pi\) |
−0.0263219 | + | 0.999654i | \(0.508379\pi\) | |||||||
\(74\) | −8.23112 | + | 4.75224i | −0.956848 | + | 0.552437i | ||||
\(75\) | −7.61258 | + | 0.276195i | −0.879025 | + | 0.0318922i | ||||
\(76\) | −0.105580 | + | 0.0609566i | −0.0121108 | + | 0.00699220i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.67222 | − | 0.278359i | 0.868708 | − | 0.0315179i | ||||
\(79\) | −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 | ||||
\(81\) | −3.32605 | + | 8.36286i | −0.369561 | + | 0.929206i | ||||
\(82\) | −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 | ||||
\(87\) | 0.318585 | − | 0.199676i | 0.0341559 | − | 0.0214075i | ||||
\(88\) | −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 | \(0.522265\pi\) | |||||||
\(90\) | −0.254718 | − | 3.50570i | −0.0268497 | − | 0.369533i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.0135297 | + | 0.00781136i | 0.00141057 | + | 0.000814391i | ||||
\(93\) | 10.0341 | + | 5.31775i | 1.04049 | + | 0.551424i | ||||
\(94\) | − | 1.45806i | − | 0.150388i | ||||||
\(95\) | − | 0.337354i | − | 0.0346118i | ||||||
\(96\) | 2.41028 | + | 1.27737i | 0.245998 | + | 0.130371i | ||||
\(97\) | 1.24162 | + | 0.716849i | 0.126067 | + | 0.0727850i | 0.561708 | − | 0.827336i | \(-0.310145\pi\) |
−0.435640 | + | 0.900121i | \(0.643478\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 10.3764 | + | 5.02605i | 1.04287 | + | 0.505137i | ||||
\(100\) | −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 | \(-0.460311\pi\) | |||||||
\(102\) | 11.9633 | − | 7.49811i | 1.18454 | − | 0.742423i | ||||
\(103\) | 14.6064 | + | 8.43299i | 1.43921 | + | 0.830928i | 0.997795 | − | 0.0663758i | \(-0.0211436\pi\) |
0.441414 | + | 0.897303i | \(0.354477\pi\) | |||||||
\(104\) | −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 | \(0.273203\pi\) | |||||||
\(108\) | −1.44832 | + | 0.158196i | −0.139364 | + | 0.0152224i | ||||
\(109\) | 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 | ||||||||
\(111\) | −10.8943 | + | 0.395260i | −1.03404 | + | 0.0375164i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.79043 | + | 5.65251i | −0.921006 | + | 0.531743i | −0.883956 | − | 0.467570i | \(-0.845129\pi\) |
−0.0370501 | + | 0.999313i | \(0.511796\pi\) | |||||||
\(114\) | −1.13651 | + | 0.0412341i | −0.106444 | + | 0.00386193i | ||||
\(115\) | −0.0374389 | + | 0.0216154i | −0.00349120 | + | 0.00201564i | ||||
\(116\) | 0.0527109 | + | 0.0304327i | 0.00489408 | + | 0.00282560i | ||||
\(117\) | 7.92496 | + | 3.83863i | 0.732663 | + | 0.354882i | ||||
\(118\) | 4.71812i | 0.434338i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.95692 | + | 1.85328i | −0.269929 | + | 0.169181i | ||||
\(121\) | 1.88504 | − | 3.26499i | 0.171368 | − | 0.296817i | ||||
\(122\) | 5.26153 | 0.476356 | ||||||||
\(123\) | −13.1119 | + | 0.475718i | −1.18226 | + | 0.0428940i | ||||
\(124\) | 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 | ||||||
\(129\) | 11.8237 | + | 18.8648i | 1.04102 | + | 1.66095i | ||||
\(130\) | −3.43905 | −0.301625 | ||||||||
\(131\) | 4.11811 | − | 7.13278i | 0.359801 | − | 0.623194i | −0.628126 | − | 0.778111i | \(-0.716178\pi\) |
0.987927 | + | 0.154918i | \(0.0495112\pi\) | |||||||
\(132\) | 0.0676717 | + | 1.86519i | 0.00589006 | + | 0.162344i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 6.34507i | − | 0.548131i | ||||||
\(135\) | 1.62476 | − | 3.68968i | 0.139837 | − | 0.317557i | ||||
\(136\) | −12.1395 | − | 7.00873i | −1.04095 | − | 0.600994i | ||||
\(137\) | 15.0058 | − | 8.66359i | 1.28203 | − | 0.740180i | 0.304811 | − | 0.952413i | \(-0.401407\pi\) |
0.977219 | + | 0.212233i | \(0.0680735\pi\) | |||||||
\(138\) | 0.0773958 | + | 0.123485i | 0.00658837 | + | 0.0105118i | ||||
\(139\) | −5.47677 | + | 3.16201i | −0.464533 | + | 0.268198i | −0.713949 | − | 0.700198i | \(-0.753095\pi\) |
0.249415 | + | 0.968397i | \(0.419762\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.783123 | − | 1.47768i | 0.0659509 | − | 0.124443i | ||||
\(142\) | −5.29759 | −0.444564 | ||||||||
\(143\) | 5.64031 | − | 9.76931i | 0.471667 | − | 0.816951i | ||||
\(144\) | 7.54944 | + | 11.1272i | 0.629120 | + | 0.927263i | ||||
\(145\) | −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 | −0.0294650 | − | 0.999566i | \(-0.509380\pi\) |
−0.880382 | + | 0.474265i | \(0.842714\pi\) | |||||||
\(150\) | −0.417080 | − | 11.4957i | −0.0340545 | − | 0.938621i | ||||
\(151\) | −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 | ||||
\(153\) | 16.1515 | − | 1.17354i | 1.30577 | − | 0.0948751i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.40547 | − | 2.54350i | −0.353856 | − | 0.204299i | ||||
\(156\) | 0.0516841 | + | 1.42454i | 0.00413804 | + | 0.114054i | ||||
\(157\) | 7.98815i | 0.637523i | 0.947835 | + | 0.318762i | \(0.103267\pi\) | ||||
−0.947835 | + | 0.318762i | \(0.896733\pi\) | |||||||
\(158\) | − | 7.49339i | − | 0.596142i | ||||||
\(159\) | −10.9549 | + | 6.86609i | −0.868779 | + | 0.544516i | ||||
\(160\) | −1.05823 | − | 0.610972i | −0.0836608 | − | 0.0483016i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −12.6287 | − | 5.02265i | −0.992205 | − | 0.394617i | ||||
\(163\) | 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 | ||||
\(165\) | −4.56345 | − | 2.41848i | −0.355264 | − | 0.188278i | ||||
\(166\) | −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 | ||||
\(171\) | −1.17395 | − | 0.568628i | −0.0897740 | − | 0.0434841i | ||||
\(172\) | −1.80205 | + | 3.12124i | −0.137405 | + | 0.237992i | ||||
\(173\) | −1.71279 | −0.130221 | −0.0651106 | − | 0.997878i | \(-0.520740\pi\) | ||||
−0.0651106 | + | 0.997878i | \(0.520740\pi\) | |||||||
\(174\) | 0.301530 | + | 0.481093i | 0.0228589 | + | 0.0364716i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 14.9180 | − | 8.61288i | 1.12448 | − | 0.649220i | ||||
\(177\) | −2.53409 | + | 4.78160i | −0.190474 | + | 0.359407i | ||||
\(178\) | −20.4548 | + | 11.8096i | −1.53315 | + | 0.885164i | ||||
\(179\) | 12.4141 | + | 7.16731i | 0.927877 | + | 0.535710i | 0.886139 | − | 0.463419i | \(-0.153377\pi\) |
0.0417372 | + | 0.999129i | \(0.486711\pi\) | |||||||
\(180\) | 0.650919 | − | 0.0472948i | 0.0485167 | − | 0.00352514i | ||||
\(181\) | − | 4.83147i | − | 0.359121i | −0.983747 | − | 0.179560i | \(-0.942532\pi\) | ||
0.983747 | − | 0.179560i | \(-0.0574675\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.33232 | + | 2.82596i | 0.394177 | + | 0.208901i | ||||
\(184\) | 0.0723444 | − | 0.125304i | 0.00533330 | − | 0.00923755i | ||||
\(185\) | 4.88334 | 0.359030 | ||||||||
\(186\) | −8.03030 | + | 15.1524i | −0.588810 | + | 1.11103i | ||||
\(187\) | − | 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 | \(-0.963737\pi\) | ||
0.993518 | − | 0.113677i | \(-0.0362630\pi\) | |||||||
\(192\) | 5.34173 | − | 10.0794i | 0.385506 | − | 0.727415i | ||||
\(193\) | 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 | ||||
\(195\) | −3.48532 | − | 1.84711i | −0.249589 | − | 0.132274i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 14.0902i | − | 1.00388i | −0.864901 | − | 0.501942i | \(-0.832619\pi\) | ||
0.864901 | − | 0.501942i | \(-0.167381\pi\) | |||||||
\(198\) | −7.58980 | + | 15.6693i | −0.539384 | + | 1.11357i | ||||
\(199\) | 6.84234 | + | 3.95043i | 0.485041 | + | 0.280038i | 0.722515 | − | 0.691355i | \(-0.242986\pi\) |
−0.237474 | + | 0.971394i | \(0.576319\pi\) | |||||||
\(200\) | −9.89060 | + | 5.71034i | −0.699371 | + | 0.403782i | ||||
\(201\) | 3.40793 | − | 6.43045i | 0.240377 | − | 0.453569i | ||||
\(202\) | 20.9531 | − | 12.0973i | 1.47426 | − | 0.851163i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.39221 | + | 2.22128i | 0.0974741 | + | 0.155520i | ||||
\(205\) | 5.87737 | 0.410493 | ||||||||
\(206\) | −12.7346 | + | 22.0570i | −0.887263 | + | 1.53678i | ||||
\(207\) | 0.0121133 | + | 0.166716i | 0.000841935 | + | 0.0115876i | ||||
\(208\) | 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 | ||||
\(213\) | −5.36887 | − | 2.84533i | −0.367869 | − | 0.194959i | ||||
\(214\) | 2.93330 | + | 5.08062i | 0.200516 | + | 0.347304i | ||||
\(215\) | −4.98658 | − | 8.63701i | −0.340082 | − | 0.589039i | ||||
\(216\) | 1.46512 | + | 13.4135i | 0.0996891 | + | 0.912672i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 3.35457 | + | 1.93676i | 0.227200 | + | 0.131174i | ||||
\(219\) | −11.9633 | + | 7.49811i | −0.808403 | + | 0.506675i | ||||
\(220\) | − | 0.836067i | − | 0.0563676i | ||||||
\(221\) | − | 15.8444i | − | 1.06581i | ||||||
\(222\) | −0.596880 | − | 16.4514i | −0.0400600 | − | 1.10415i | ||||
\(223\) | 3.79823 | + | 2.19291i | 0.254348 | + | 0.146848i | 0.621754 | − | 0.783213i | \(-0.286420\pi\) |
−0.367405 | + | 0.930061i | \(0.619754\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.75164 | − | 11.8744i | 0.383443 | − | 0.791627i | ||||
\(226\) | −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 | \(0.937366\pi\) | |||||||
\(228\) | −0.00765613 | − | 0.211021i | −0.000507039 | − | 0.0139752i | ||||
\(229\) | −7.66705 | − | 4.42657i | −0.506653 | − | 0.292516i | 0.224804 | − | 0.974404i | \(-0.427826\pi\) |
−0.731457 | + | 0.681888i | \(0.761159\pi\) | |||||||
\(230\) | −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 | \(0.472059\pi\) | |||||||
\(234\) | −5.79670 | + | 11.9674i | −0.378942 | + | 0.782336i | ||||
\(235\) | −0.374571 | + | 0.648777i | −0.0244343 | + | 0.0423215i | ||||
\(236\) | −0.876035 | −0.0570250 | ||||||||
\(237\) | 4.02469 | − | 7.59421i | 0.261432 | − | 0.493297i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.18421 | − | 2.41575i | 0.270654 | − | 0.156262i | −0.358531 | − | 0.933518i | \(-0.616722\pi\) |
0.629185 | + | 0.777256i | \(0.283389\pi\) | |||||||
\(240\) | −3.19884 | − | 5.10377i | −0.206484 | − | 0.329447i | ||||
\(241\) | 8.68938 | − | 5.01681i | 0.559732 | − | 0.323161i | −0.193306 | − | 0.981139i | \(-0.561921\pi\) |
0.753038 | + | 0.657977i | \(0.228588\pi\) | |||||||
\(242\) | 4.93045 | + | 2.84659i | 0.316941 | + | 0.182986i | ||||
\(243\) | −10.1010 | − | 11.8731i | −0.647978 | − | 0.761659i | ||||
\(244\) | 0.976932i | 0.0625417i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.718379 | − | 19.8002i | −0.0458022 | − | 1.26242i | ||||
\(247\) | −0.638125 | + | 1.10526i | −0.0406029 | + | 0.0703263i | ||||
\(248\) | 17.0257 | 1.08113 | ||||||||
\(249\) | −7.92965 | − | 12.6518i | −0.502521 | − | 0.801776i | ||||
\(250\) | 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 | ||||||||
\(255\) | −7.24939 | + | 0.263018i | −0.453975 | + | 0.0164708i | ||||
\(256\) | 6.60319 | 0.412700 | ||||||||
\(257\) | 1.34115 | − | 2.32294i | 0.0836585 | − | 0.144901i | −0.821160 | − | 0.570698i | \(-0.806673\pi\) |
0.904819 | + | 0.425797i | \(0.140006\pi\) | |||||||
\(258\) | −28.4876 | + | 17.8549i | −1.77356 | + | 1.11160i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 0.638544i | − | 0.0396008i | ||||||
\(261\) | 0.0471929 | + | 0.649518i | 0.00292117 | + | 0.0402041i | ||||
\(262\) | 10.7712 | + | 6.21874i | 0.665445 | + | 0.384195i | ||||
\(263\) | −20.2961 | + | 11.7179i | −1.25151 | + | 0.722560i | −0.971409 | − | 0.237411i | \(-0.923701\pi\) |
−0.280101 | + | 0.959971i | \(0.590368\pi\) | |||||||
\(264\) | 17.2743 | − | 0.626737i | 1.06316 | − | 0.0385730i | ||||
\(265\) | 5.01556 | − | 2.89573i | 0.308103 | − | 0.177883i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −27.0729 | + | 0.982241i | −1.65683 | + | 0.0601122i | ||||
\(268\) | 1.17812 | 0.0719651 | ||||||||
\(269\) | −1.98955 | + | 3.44600i | −0.121305 | + | 0.210106i | −0.920283 | − | 0.391254i | \(-0.872041\pi\) |
0.798978 | + | 0.601361i | \(0.205375\pi\) | |||||||
\(270\) | 5.57176 | + | 2.45354i | 0.339087 | + | 0.149318i | ||||
\(271\) | −10.8303 | + | 6.25288i | −0.657895 | + | 0.379836i | −0.791474 | − | 0.611202i | \(-0.790686\pi\) |
0.133580 | + | 0.991038i | \(0.457353\pi\) | |||||||
\(272\) | 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 | ||||
\(276\) | −0.0229281 | + | 0.0143704i | −0.00138011 | + | 0.000864999i | ||||
\(277\) | 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 | ||||
\(279\) | −16.2767 | + | 11.0433i | −0.974460 | + | 0.661142i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.03456 | + | 4.06141i | 0.419647 | + | 0.242283i | 0.694926 | − | 0.719081i | \(-0.255437\pi\) |
−0.275279 | + | 0.961364i | \(0.588770\pi\) | |||||||
\(282\) | 2.23144 | + | 1.18259i | 0.132880 | + | 0.0704222i | ||||
\(283\) | − | 1.34396i | − | 0.0798899i | −0.999202 | − | 0.0399450i | \(-0.987282\pi\) | ||
0.999202 | − | 0.0399450i | \(-0.0127183\pi\) | |||||||
\(284\) | − | 0.983629i | − | 0.0583676i | ||||||
\(285\) | 0.516292 | + | 0.273618i | 0.0305825 | + | 0.0162077i | ||||
\(286\) | 14.7526 | + | 8.51741i | 0.872339 | + | 0.503645i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.90981 | + | 2.65269i | −0.230388 | + | 0.156311i | ||||
\(289\) | −6.06929 | − | 10.5123i | −0.357017 | − | 0.618371i | ||||
\(290\) | −0.127169 | − | 0.220262i | −0.00746760 | − | 0.0129343i | ||||
\(291\) | −2.10412 | + | 1.31878i | −0.123345 | + | 0.0773081i | ||||
\(292\) | −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 | ||||
\(297\) | −16.1079 | + | 11.8037i | −0.934676 | + | 0.684921i | ||||
\(298\) | 9.68289 | − | 16.7713i | 0.560915 | − | 0.971533i | ||||
\(299\) | 0.163547 | 0.00945815 | ||||||||
\(300\) | 2.13446 | − | 0.0774412i | 0.123233 | − | 0.00447107i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 6.87261 | − | 3.96790i | 0.395474 | − | 0.228327i | ||||
\(303\) | 27.7325 | − | 1.00617i | 1.59319 | − | 0.0578032i | ||||
\(304\) | −1.68776 | + | 0.974430i | −0.0967998 | + | 0.0558874i | ||||
\(305\) | −2.34116 | − | 1.35167i | −0.134054 | − | 0.0773963i | ||||
\(306\) | 1.77216 | + | 24.3903i | 0.101307 | + | 1.39430i | ||||
\(307\) | − | 13.2098i | − | 0.753925i | −0.926229 | − | 0.376962i | \(-0.876969\pi\) | ||
0.926229 | − | 0.376962i | \(-0.123031\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −24.7528 | + | 15.5140i | −1.40814 | + | 0.882563i | ||||
\(310\) | 3.84093 | − | 6.65268i | 0.218150 | − | 0.377847i | ||||
\(311\) | −20.5373 | −1.16457 | −0.582283 | − | 0.812986i | \(-0.697840\pi\) | ||||
−0.582283 | + | 0.812986i | \(0.697840\pi\) | |||||||
\(312\) | 13.1933 | − | 0.478669i | 0.746921 | − | 0.0270993i | ||||
\(313\) | 16.5094i | 0.933168i | 0.884477 | + | 0.466584i | \(0.154515\pi\) | ||||
−0.884477 | + | 0.466584i | \(0.845485\pi\) | |||||||
\(314\) | −12.0629 | −0.680746 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.39133 | 0.0782685 | ||||||||
\(317\) | 9.36591i | 0.526042i | 0.964790 | + | 0.263021i | \(0.0847188\pi\) | ||||
−0.964790 | + | 0.263021i | \(0.915281\pi\) | |||||||
\(318\) | −10.3684 | − | 16.5429i | −0.581433 | − | 0.927680i | ||||
\(319\) | 0.834266 | 0.0467099 | ||||||||
\(320\) | −2.55497 | + | 4.42534i | −0.142827 | + | 0.247384i | ||||
\(321\) | 0.243972 | + | 6.72445i | 0.0136172 | + | 0.375322i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.34708i | 0.130595i | ||||||||
\(324\) | 0.932579 | − | 2.34483i | 0.0518100 | − | 0.130268i | ||||
\(325\) | −11.1797 | − | 6.45459i | −0.620137 | − | 0.358036i | ||||
\(326\) | −15.0455 | + | 8.68653i | −0.833294 | + | 0.481102i | ||||
\(327\) | 2.35948 | + | 3.76456i | 0.130479 | + | 0.208180i | ||||
\(328\) | −17.0356 | + | 9.83548i | −0.940631 | + | 0.543074i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.65213 | − | 6.89124i | 0.201043 | − | 0.379350i | ||||
\(331\) | 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 | ||||
\(333\) | 8.23112 | − | 16.9934i | 0.451063 | − | 0.931231i | ||||
\(334\) | 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 | ||||
\(339\) | −0.709953 | − | 19.5680i | −0.0385594 | − | 1.06279i | ||||
\(340\) | −0.587156 | − | 1.01698i | −0.0318430 | − | 0.0551537i | ||||
\(341\) | 12.5988 | + | 21.8218i | 0.682266 | + | 1.18172i | ||||
\(342\) | 0.858683 | − | 1.77277i | 0.0464322 | − | 0.0958606i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 28.9072 | + | 16.6896i | 1.55857 | + | 0.899841i | ||||
\(345\) | −0.00271488 | − | 0.0748286i | −0.000146164 | − | 0.00402864i | ||||
\(346\) | − | 2.58648i | − | 0.139050i | ||||||
\(347\) | − | 28.7220i | − | 1.54188i | −0.636908 | − | 0.770939i | \(-0.719787\pi\) | ||
0.636908 | − | 0.770939i | \(-0.280213\pi\) | |||||||
\(348\) | −0.0893268 | + | 0.0559865i | −0.00478842 | + | 0.00300119i | ||||
\(349\) | 11.0854 | + | 6.40017i | 0.593389 | + | 0.342593i | 0.766436 | − | 0.642320i | \(-0.222028\pi\) |
−0.173048 | + | 0.984913i | \(0.555361\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.3024 | + | 9.01506i | −0.656653 | + | 0.481188i | ||||
\(352\) | 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 | \(0.578169\pi\) | |||||||
\(354\) | −7.22067 | − | 3.82672i | −0.383774 | − | 0.203388i | ||||
\(355\) | 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 | 0.303770 | − | 0.952745i | \(-0.401755\pi\) |
0.976987 | + | 0.213300i | \(0.0684212\pi\) | |||||||
\(360\) | −0.438017 | − | 6.02845i | −0.0230855 | − | 0.317727i | ||||
\(361\) | −9.40547 | + | 16.2908i | −0.495025 | + | 0.857408i | ||||
\(362\) | 7.29598 | 0.383468 | ||||||||
\(363\) | 3.46789 | + | 5.53303i | 0.182017 | + | 0.290409i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.47724 | − | 3.16228i | 0.286692 | − | 0.165522i | ||||
\(366\) | −4.26747 | + | 8.05232i | −0.223064 | + | 0.420901i | ||||
\(367\) | 28.9584 | − | 16.7191i | 1.51161 | − | 0.872731i | 0.511706 | − | 0.859160i | \(-0.329014\pi\) |
0.999908 | − | 0.0135705i | \(-0.00431975\pi\) | |||||||
\(368\) | 0.216281 | + | 0.124870i | 0.0112744 | + | 0.00650928i | ||||
\(369\) | 9.90662 | − | 20.4525i | 0.515718 | − | 1.06471i | ||||
\(370\) | 7.37430i | 0.383372i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2.81342 | − | 1.49102i | −0.145869 | − | 0.0773059i | ||||
\(373\) | 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 | ||||||||
\(375\) | −5.91408 | + | 11.1593i | −0.305402 | + | 0.576265i | ||||
\(376\) | − | 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 | ||||||||
\(381\) | −2.15468 | + | 4.06569i | −0.110388 | + | 0.208292i | ||||
\(382\) | 4.74487 | 0.242769 | ||||||||
\(383\) | −6.34150 | + | 10.9838i | −0.324036 | + | 0.561246i | −0.981317 | − | 0.192399i | \(-0.938373\pi\) |
0.657281 | + | 0.753646i | \(0.271706\pi\) | |||||||
\(384\) | 20.0413 | + | 10.6213i | 1.02273 | + | 0.542014i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.07592i | 0.461952i | ||||||||
\(387\) | −38.4608 | + | 2.79450i | −1.95507 | + | 0.142052i | ||||
\(388\) | −0.348133 | − | 0.200995i | −0.0176738 | − | 0.0102040i | ||||
\(389\) | 17.8067 | − | 10.2807i | 0.902835 | − | 0.521252i | 0.0247163 | − | 0.999695i | \(-0.492132\pi\) |
0.878119 | + | 0.478442i | \(0.158798\pi\) | |||||||
\(390\) | 2.78931 | − | 5.26317i | 0.141242 | − | 0.266511i | ||||
\(391\) | 0.260474 | − | 0.150385i | 0.0131727 | − | 0.00760529i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.57603 | + | 12.0876i | 0.382160 | + | 0.609739i | ||||
\(394\) | 21.2775 | 1.07195 | ||||||||
\(395\) | −1.92503 | + | 3.33424i | −0.0968586 | + | 0.167764i | ||||
\(396\) | −2.90940 | − | 1.40923i | −0.146203 | − | 0.0708167i | ||||
\(397\) | −12.9646 | + | 7.48513i | −0.650676 | + | 0.375668i | −0.788715 | − | 0.614759i | \(-0.789253\pi\) |
0.138039 | + | 0.990427i | \(0.455920\pi\) | |||||||
\(398\) | −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 | 0.706206 | − | 0.708007i | \(-0.250405\pi\) |
−0.260049 | + | 0.965595i | \(0.583739\pi\) | |||||||
\(402\) | 9.71058 | + | 5.14629i | 0.484320 | + | 0.256674i | ||||
\(403\) | 9.62235 | + | 16.6664i | 0.479323 | + | 0.830212i | ||||
\(404\) | 2.24616 | + | 3.89047i | 0.111751 | + | 0.193558i | ||||
\(405\) | 4.32894 | + | 5.47914i | 0.215107 | + | 0.272261i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −20.9482 | − | 12.0944i | −1.03836 | − | 0.599499i | ||||
\(408\) | 20.5722 | − | 12.8939i | 1.01848 | − | 0.638341i | ||||
\(409\) | 18.5199i | 0.915750i | 0.889017 | + | 0.457875i | \(0.151389\pi\) | ||||
−0.889017 | + | 0.457875i | \(0.848611\pi\) | |||||||
\(410\) | 8.87539i | 0.438324i | ||||||||
\(411\) | 1.08814 | + | 29.9918i | 0.0536742 | + | 1.47939i | ||||
\(412\) | −4.09543 | − | 2.36450i | −0.201767 | − | 0.116490i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.251757 | + | 0.0182923i | −0.0123732 | + | 0.000899017i | ||||
\(415\) | 3.34429 | + | 5.79247i | 0.164165 | + | 0.284341i | ||||
\(416\) | 2.31138 | + | 4.00342i | 0.113325 | + | 0.196284i | ||||
\(417\) | −0.397148 | − | 10.9463i | −0.0194484 | − | 0.536044i | ||||
\(418\) | −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 | ||||
\(423\) | 1.62630 | + | 2.39701i | 0.0790732 | + | 0.116546i | ||||
\(424\) | −9.69173 | + | 16.7866i | −0.470672 | + | 0.815227i | ||||
\(425\) | −23.7406 | −1.15159 | ||||||||
\(426\) | 4.29672 | − | 8.10751i | 0.208177 | − | 0.392810i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.943342 | + | 0.544639i | −0.0455982 | + | 0.0263261i | ||||
\(429\) | 10.3764 | + | 16.5556i | 0.500977 | + | 0.799312i | ||||
\(430\) | 13.0427 | − | 7.53020i | 0.628975 | − | 0.363139i | ||||
\(431\) | −31.3069 | − | 18.0750i | −1.50800 | − | 0.870643i | −0.999957 | − | 0.00931038i | \(-0.997036\pi\) |
−0.508041 | − | 0.861333i | \(-0.669630\pi\) | |||||||
\(432\) | −23.1523 | + | 2.52887i | −1.11391 | + | 0.121670i | ||||
\(433\) | − | 33.0085i | − | 1.58629i | −0.609034 | − | 0.793144i | \(-0.708443\pi\) | ||
0.609034 | − | 0.793144i | \(-0.291557\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0105770 | − | 0.291528i | −0.000507130 | − | 0.0139777i | ||||
\(436\) | −0.359608 | + | 0.622859i | −0.0172221 | + | 0.0298295i | ||||
\(437\) | −0.0242267 | −0.00115892 | ||||||||
\(438\) | −11.3229 | − | 18.0657i | −0.541027 | − | 0.863212i | ||||
\(439\) | 30.5618i | 1.45863i | 0.684176 | + | 0.729317i | \(0.260162\pi\) | ||||
−0.684176 | + | 0.729317i | \(0.739838\pi\) | |||||||
\(440\) | −7.74318 | −0.369141 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.9266 | 1.13807 | ||||||||
\(443\) | − | 20.7026i | − | 0.983612i | −0.870705 | − | 0.491806i | \(-0.836337\pi\) | ||
0.870705 | − | 0.491806i | \(-0.163663\pi\) | |||||||
\(444\) | 3.05461 | − | 0.110825i | 0.144965 | − | 0.00525955i | ||||
\(445\) | 12.1353 | 0.575270 | ||||||||
\(446\) | −3.31150 | + | 5.73569i | −0.156804 | + | 0.271593i | ||||
\(447\) | 18.8210 | − | 11.7963i | 0.890203 | − | 0.557944i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.40243i | 0.302150i | 0.988522 | + | 0.151075i | \(0.0482734\pi\) | ||||
−0.988522 | + | 0.151075i | \(0.951727\pi\) | |||||||
\(450\) | 17.9315 | + | 8.68552i | 0.845298 | + | 0.409439i | ||||
\(451\) | −25.2123 | − | 14.5563i | −1.18720 | − | 0.685431i | ||||
\(452\) | 2.74510 | − | 1.58489i | 0.129119 | − | 0.0745467i | ||||
\(453\) | 9.09624 | − | 0.330024i | 0.427379 | − | 0.0155059i | ||||
\(454\) | 12.6514 | − | 7.30428i | 0.593759 | − | 0.342807i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.95436 | + | 0.0709067i | −0.0915211 | + | 0.00332051i | ||||
\(457\) | −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 | ||||
\(459\) | −11.3040 | + | 25.6703i | −0.527624 | + | 1.19818i | ||||
\(460\) | 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 | ||||
\(465\) | 7.46575 | − | 4.67924i | 0.346216 | − | 0.216995i | ||||
\(466\) | −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 | \(-0.361140\pi\) | |||||||
\(468\) | −2.22205 | − | 1.07630i | −0.102714 | − | 0.0497520i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.979714 | − | 0.565638i | −0.0451908 | − | 0.0260909i | ||||
\(471\) | −12.2252 | − | 6.47894i | −0.563306 | − | 0.298534i | ||||
\(472\) | 8.11334i | 0.373447i | ||||||||
\(473\) | 49.4005i | 2.27144i | ||||||||
\(474\) | 11.4680 | + | 6.07766i | 0.526742 | + | 0.279156i | ||||
\(475\) | 1.65608 | + | 0.956138i | 0.0759861 | + | 0.0438706i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.62278 | − | 22.3344i | −0.0743020 | − | 1.02262i | ||||
\(478\) | 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 | \(0.925722\pi\) | |||||||
\(480\) | 1.79334 | − | 1.12400i | 0.0818545 | − | 0.0513032i | ||||
\(481\) | −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 | ||||
\(486\) | 17.9295 | − | 15.2534i | 0.813299 | − | 0.691909i | ||||
\(487\) | 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 | ||||||||
\(489\) | −19.9135 | + | 0.722488i | −0.900519 | + | 0.0326720i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.780171 | − | 0.450432i | 0.0352086 | − | 0.0203277i | −0.482292 | − | 0.876010i | \(-0.660196\pi\) |
0.517501 | + | 0.855683i | \(0.326862\pi\) | |||||||
\(492\) | 3.67640 | − | 0.133385i | 0.165745 | − | 0.00601345i | ||||
\(493\) | 1.01479 | − | 0.585891i | 0.0457040 | − | 0.0263872i | ||||
\(494\) | −1.66905 | − | 0.963629i | −0.0750943 | − | 0.0433557i | ||||
\(495\) | 7.40255 | − | 5.02241i | 0.332720 | − | 0.225740i | ||||
\(496\) | 29.3871i | 1.31952i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 19.1054 | − | 11.9745i | 0.856135 | − | 0.536591i | ||||
\(499\) | −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 | ||||||||
\(501\) | 29.0184 | − | 1.05283i | 1.29645 | − | 0.0470369i | ||||
\(502\) | − | 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 | ||||||||
\(507\) | −4.03299 | − | 6.43466i | −0.179111 | − | 0.285773i | ||||
\(508\) | −0.744873 | −0.0330484 | ||||||||
\(509\) | 15.0416 | − | 26.0528i | 0.666708 | − | 1.15477i | −0.312111 | − | 0.950046i | \(-0.601036\pi\) |
0.978819 | − | 0.204727i | \(-0.0656305\pi\) | |||||||
\(510\) | −0.397182 | − | 10.9473i | −0.0175875 | − | 0.484753i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 16.2193i | − | 0.716799i | ||||||
\(513\) | 1.82239 | − | 1.33543i | 0.0804605 | − | 0.0589606i | ||||
\(514\) | 3.50785 | + | 2.02526i | 0.154725 | + | 0.0893304i | ||||
\(515\) | 11.3327 | − | 6.54296i | 0.499380 | − | 0.288317i | ||||
\(516\) | −3.31520 | − | 5.28943i | −0.145944 | − | 0.232854i | ||||
\(517\) | 3.21362 | − | 1.85538i | 0.141335 | − | 0.0815997i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.38919 | − | 2.62128i | 0.0609789 | − | 0.115061i | ||||
\(520\) | −5.91384 | −0.259339 | ||||||||
\(521\) | 6.00837 | − | 10.4068i | 0.263231 | − | 0.455930i | −0.703867 | − | 0.710331i | \(-0.748545\pi\) |
0.967099 | + | 0.254401i | \(0.0818784\pi\) | |||||||
\(522\) | −0.980833 | + | 0.0712658i | −0.0429299 | + | 0.00311922i | ||||
\(523\) | 16.1185 | − | 9.30602i | 0.704813 | − | 0.406924i | −0.104325 | − | 0.994543i | \(-0.533268\pi\) |
0.809137 | + | 0.587620i | \(0.199935\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | 1.08178 | + | 29.8163i | 0.0470782 | + | 1.29759i | ||||
\(529\) | −11.4984 | − | 19.9159i | −0.499933 | − | 0.865909i | ||||
\(530\) | 4.37283 | + | 7.57397i | 0.189944 | + | 0.328992i | ||||
\(531\) | −5.26250 | − | 7.75642i | −0.228373 | − | 0.336600i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −19.2559 | − | 11.1174i | −0.834064 | − | 0.481547i | ||||
\(534\) | −1.48328 | − | 40.8826i | −0.0641877 | − | 1.76916i | ||||
\(535\) | − | 3.01422i | − | 0.130316i | ||||||
\(536\) | − | 10.9111i | − | 0.471286i | ||||||
\(537\) | −21.0377 | + | 13.1856i | −0.907843 | + | 0.569000i | ||||
\(538\) | −5.20379 | − | 3.00441i | −0.224351 | − | 0.129529i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.455560 | + | 1.03454i | −0.0196042 | + | 0.0445193i | ||||
\(541\) | −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 | ||||
\(543\) | 7.39415 | + | 3.91866i | 0.317314 | + | 0.168166i | ||||
\(544\) | 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 | ||||
\(549\) | −8.64977 | + | 5.86861i | −0.369163 | + | 0.250466i | ||||
\(550\) | 12.7621 | − | 22.1046i | 0.544178 | − | 0.942544i | ||||
\(551\) | −0.0943858 | −0.00402097 | ||||||||
\(552\) | 0.133091 | + | 0.212347i | 0.00566473 | + | 0.00903810i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −25.7514 | + | 14.8676i | −1.09407 | + | 0.631664i | ||||
\(555\) | −3.96073 | + | 7.47353i | −0.168123 | + | 0.317234i | ||||
\(556\) | 1.53561 | − | 0.886585i | 0.0651244 | − | 0.0375996i | ||||
\(557\) | 27.2305 | + | 15.7215i | 1.15379 | + | 0.666143i | 0.949809 | − | 0.312831i | \(-0.101277\pi\) |
0.203985 | + | 0.978974i | \(0.434611\pi\) | |||||||
\(558\) | −16.6764 | − | 24.5794i | −0.705967 | − | 1.04053i | ||||
\(559\) | 37.7296i | 1.59579i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 31.7493 | + | 16.8261i | 1.34046 | + | 0.710399i | ||||
\(562\) | −6.13311 | + | 10.6229i | −0.258710 | + | 0.448098i | ||||
\(563\) | −34.1657 | −1.43991 | −0.719956 | − | 0.694019i | \(-0.755838\pi\) | ||||
−0.719956 | + | 0.694019i | \(0.755838\pi\) | |||||||
\(564\) | −0.219577 | + | 0.414322i | −0.00924586 | + | 0.0174461i | ||||
\(565\) | 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 | \(0.157904\pi\) | ||||
−0.879461 | + | 0.475972i | \(0.842096\pi\) | |||||||
\(570\) | −0.413189 | + | 0.779649i | −0.0173066 | + | 0.0326559i | ||||
\(571\) | −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 | ||||
\(573\) | 4.80872 | + | 2.54846i | 0.200887 | + | 0.106464i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 0.245051i | − | 0.0102193i | ||||||
\(576\) | 11.0931 | + | 16.3501i | 0.462211 | + | 0.681255i | ||||
\(577\) | 12.6222 | + | 7.28745i | 0.525471 | + | 0.303381i | 0.739170 | − | 0.673519i | \(-0.235218\pi\) |
−0.213699 | + | 0.976899i | \(0.568551\pi\) | |||||||
\(578\) | 15.8746 | − | 9.16520i | 0.660296 | − | 0.381222i | ||||
\(579\) | −4.87467 | + | 9.19804i | −0.202584 | + | 0.382258i | ||||
\(580\) | 0.0408971 | − | 0.0236120i | 0.00169816 | − | 0.000980434i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.99148 | − | 3.17741i | −0.0825494 | − | 0.131708i | ||||
\(583\) | −28.6872 | −1.18810 | ||||||||
\(584\) | −10.5838 | + | 18.3318i | −0.437963 | + | 0.758574i | ||||
\(585\) | 5.65368 | − | 3.83585i | 0.233751 | − | 0.158593i | ||||
\(586\) | 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 | ||||
\(591\) | 21.5638 | + | 11.4281i | 0.887016 | + | 0.470090i | ||||
\(592\) | −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 | \(0.617236\pi\) | |||||||
\(594\) | −17.8247 | − | 24.3245i | −0.731357 | − | 0.998045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.11400 | + | 1.79787i | 0.127554 | + | 0.0736435i | ||||
\(597\) | −11.5954 | + | 7.26754i | −0.474568 | + | 0.297441i | ||||
\(598\) | 0.246971i | 0.0100994i | ||||||||
\(599\) | − | 2.70052i | − | 0.110340i | −0.998477 | − | 0.0551701i | \(-0.982430\pi\) | ||
0.998477 | − | 0.0551701i | \(-0.0175701\pi\) | |||||||
\(600\) | −0.717217 | − | 19.7682i | −0.0292803 | − | 0.807033i | ||||
\(601\) | −21.0197 | − | 12.1357i | −0.857411 | − | 0.495026i | 0.00573343 | − | 0.999984i | \(-0.498175\pi\) |
−0.863144 | + | 0.504957i | \(0.831508\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.07717 | + | 10.4311i | 0.288205 | + | 0.424786i | ||||
\(604\) | 0.736739 | + | 1.27607i | 0.0299775 | + | 0.0519225i | ||||
\(605\) | −1.46256 | − | 2.53323i | −0.0594616 | − | 0.102990i | ||||
\(606\) | 1.51942 | + | 41.8787i | 0.0617221 | + | 1.70121i | ||||
\(607\) | −18.5486 | − | 10.7090i | −0.752865 | − | 0.434667i | 0.0738631 | − | 0.997268i | \(-0.476467\pi\) |
−0.826728 | + | 0.562601i | \(0.809801\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | −4.52865 | + | 0.329044i | −0.183060 | + | 0.0133008i | ||||
\(613\) | −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 | ||||||||
\(615\) | −4.76696 | + | 8.99481i | −0.192222 | + | 0.362706i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.19246 | + | 0.688465i | −0.0480065 | + | 0.0277166i | −0.523811 | − | 0.851834i | \(-0.675490\pi\) |
0.475805 | + | 0.879551i | \(0.342157\pi\) | |||||||
\(618\) | −23.4277 | − | 37.3790i | −0.942400 | − | 1.50360i | ||||
\(619\) | −29.2918 | + | 16.9116i | −1.17734 | + | 0.679736i | −0.955397 | − | 0.295324i | \(-0.904572\pi\) |
−0.221941 | + | 0.975060i | \(0.571239\pi\) | |||||||
\(620\) | 1.23523 | + | 0.713163i | 0.0496082 | + | 0.0286413i | ||||
\(621\) | −0.264970 | − | 0.116680i | −0.0106329 | − | 0.00468221i | ||||
\(622\) | − | 31.0133i | − | 1.24352i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.826204 | + | 22.7721i | 0.0330746 | + | 0.911615i | ||||
\(625\) | −8.16631 | + | 14.1445i | −0.326652 | + | 0.565779i | ||||
\(626\) | −24.9308 | −0.996435 | ||||||||
\(627\) | −1.53709 | − | 2.45243i | −0.0613854 | − | 0.0979407i | ||||
\(628\) | − | 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 | ||||||
\(633\) | −8.92531 | + | 0.323823i | −0.354749 | + | 0.0128708i | ||||
\(634\) | −14.1434 | −0.561707 | ||||||||
\(635\) | 1.03059 | − | 1.78504i | 0.0408979 | − | 0.0708373i | ||||
\(636\) | 3.07160 | − | 1.92516i | 0.121797 | − | 0.0763374i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.25982i | 0.0498768i | ||||||||
\(639\) | 8.70906 | − | 5.90884i | 0.344525 | − | 0.233750i | ||||
\(640\) | −8.79916 | − | 5.08020i | −0.347817 | − | 0.200812i | ||||
\(641\) | 9.25173 | − | 5.34149i | 0.365421 | − | 0.210976i | −0.306035 | − | 0.952020i | \(-0.599002\pi\) |
0.671456 | + | 0.741044i | \(0.265669\pi\) | |||||||
\(642\) | −10.1546 | + | 0.368421i | −0.400769 | + | 0.0145404i | ||||
\(643\) | −38.1128 | + | 22.0044i | −1.50302 | + | 0.867771i | −0.503029 | + | 0.864270i | \(0.667781\pi\) |
−0.999994 | + | 0.00350106i | \(0.998886\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.2627 | − | 0.626313i | 0.679716 | − | 0.0246610i | ||||
\(646\) | −3.54431 | −0.139449 | ||||||||
\(647\) | 23.5043 | − | 40.7107i | 0.924050 | − | 1.60050i | 0.130968 | − | 0.991387i | \(-0.458192\pi\) |
0.793082 | − | 0.609115i | \(-0.208475\pi\) | |||||||
\(648\) | −21.7165 | − | 8.63702i | −0.853105 | − | 0.339294i | ||||
\(649\) | −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 | −0.201257 | − | 0.979538i | \(-0.564503\pi\) |
−0.948934 | + | 0.315475i | \(0.897836\pi\) | |||||||
\(654\) | −5.68484 | + | 3.56303i | −0.222295 | + | 0.139326i | ||||
\(655\) | −3.19515 | − | 5.53416i | −0.124845 | − | 0.216237i | ||||
\(656\) | −16.9765 | − | 29.4041i | −0.662820 | − | 1.14804i | ||||
\(657\) | −1.77216 | − | 24.3903i | −0.0691384 | − | 0.951554i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.36652 | − | 0.788962i | −0.0532322 | − | 0.0307336i | 0.473148 | − | 0.880983i | \(-0.343118\pi\) |
−0.526380 | + | 0.850249i | \(0.676451\pi\) | |||||||
\(660\) | 1.27953 | + | 0.678108i | 0.0498055 | + | 0.0263953i | ||||
\(661\) | − | 2.40720i | − | 0.0936293i | −0.998904 | − | 0.0468147i | \(-0.985093\pi\) | ||
0.998904 | − | 0.0468147i | \(-0.0149070\pi\) | |||||||
\(662\) | 43.5570i | 1.69289i | ||||||||
\(663\) | 24.2485 | + | 12.8509i | 0.941733 | + | 0.499088i | ||||
\(664\) | −19.3868 | − | 11.1930i | −0.752354 | − | 0.434372i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 25.6616 | + | 12.4298i | 0.994366 | + | 0.481644i | ||||
\(667\) | 0.00604760 | + | 0.0104747i | 0.000234164 | + | 0.000405584i | ||||
\(668\) | 2.35031 | + | 4.07086i | 0.0909363 | + | 0.157506i | ||||
\(669\) | −6.43669 | + | 4.03426i | −0.248857 | + | 0.155974i | ||||
\(670\) | −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 | ||||
\(675\) | 13.5078 | + | 18.4334i | 0.519914 | + | 0.709500i | ||||
\(676\) | 0.614668 | − | 1.06464i | 0.0236411 | − | 0.0409476i | ||||
\(677\) | 9.67694 | 0.371915 | 0.185958 | − | 0.982558i | \(-0.440461\pi\) | ||||
0.185958 | + | 0.982558i | \(0.440461\pi\) | |||||||
\(678\) | 29.5495 | − | 1.07210i | 1.13484 | − | 0.0411736i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −9.41873 | + | 5.43791i | −0.361192 | + | 0.208534i | ||||
\(681\) | 16.7447 | − | 0.607522i | 0.641660 | − | 0.0232803i | ||||
\(682\) | −32.9531 | + | 19.0255i | −1.26184 | + | 0.728522i | ||||
\(683\) | −18.6341 | − | 10.7584i | −0.713012 | − | 0.411658i | 0.0991632 | − | 0.995071i | \(-0.468383\pi\) |
−0.812175 | + | 0.583413i | \(0.801717\pi\) | |||||||
\(684\) | 0.329159 | + | 0.159436i | 0.0125857 | + | 0.00609617i | ||||
\(685\) | − | 13.4437i | − | 0.513659i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.9930 | − | 8.14349i | 0.495714 | − | 0.310694i | ||||
\(688\) | −28.8069 | + | 49.8951i | −1.09825 | + | 1.90223i | ||||
\(689\) | −21.9098 | −0.834696 | ||||||||
\(690\) | 0.112998 | − | 0.00409973i | 0.00430177 | − | 0.000156074i | ||||
\(691\) | − | 29.4425i | − | 1.12005i | −0.828477 | − | 0.560023i | \(-0.810792\pi\) | ||
0.828477 | − | 0.560023i | \(-0.189208\pi\) | |||||||
\(692\) | 0.480244 | 0.0182561 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 43.3730 | 1.64642 | ||||||||
\(695\) | 4.90666i | 0.186120i | ||||||||
\(696\) | 0.518515 | + | 0.827294i | 0.0196543 | + | 0.0313585i | ||||
\(697\) | −40.8907 | −1.54885 | ||||||||
\(698\) | −9.66486 | + | 16.7400i | −0.365820 | + | 0.633619i | ||||
\(699\) | −0.809354 | − | 22.3077i | −0.0306126 | − | 0.843754i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.4325i | 1.52712i | 0.645740 | + | 0.763558i | \(0.276549\pi\) | ||||
−0.645740 | + | 0.763558i | \(0.723451\pi\) | |||||||
\(702\) | −13.6136 | − | 18.5778i | −0.513812 | − | 0.701173i | ||||
\(703\) | 2.37000 | + | 1.36832i | 0.0893863 | + | 0.0516072i | ||||
\(704\) | 21.9203 | − | 12.6557i | 0.826151 | − | 0.476979i | ||||
\(705\) | −0.689093 | − | 1.09945i | −0.0259527 | − | 0.0414078i | ||||
\(706\) | −35.3077 | + | 20.3849i | −1.32882 | + | 0.767197i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.710525 | − | 1.34070i | 0.0267032 | − | 0.0503864i | ||||
\(709\) | −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 | ||||
\(711\) | 8.35799 | + | 12.3189i | 0.313449 | + | 0.461994i | ||||
\(712\) | −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 | ||||
\(717\) | 0.303418 | + | 8.36291i | 0.0113313 | + | 0.312319i | ||||
\(718\) | 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 | \(0.995110\pi\) | |||||||
\(720\) | 10.4054 | − | 0.756037i | 0.387785 | − | 0.0281758i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −24.6006 | − | 14.2032i | −0.915539 | − | 0.528587i | ||||
\(723\) | 0.630111 | + | 17.3673i | 0.0234341 | + | 0.645898i | ||||
\(724\) | 1.35468i | 0.0503463i | ||||||||
\(725\) | − | 0.954706i | − | 0.0354569i | ||||||
\(726\) | −8.35540 | + | 5.23684i | −0.310098 | + | 0.194357i | ||||
\(727\) | 3.74533 | + | 2.16237i | 0.138907 | + | 0.0801977i | 0.567843 | − | 0.823137i | \(-0.307778\pi\) |
−0.428936 | + | 0.903335i | \(0.641111\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.3633 | − | 5.82876i | 0.976420 | − | 0.215880i | ||||
\(730\) | 4.77535 | + | 8.27115i | 0.176744 | + | 0.306129i | ||||
\(731\) | 34.6932 | + | 60.0904i | 1.28317 | + | 2.22252i | ||||
\(732\) | −1.49511 | − | 0.792360i | −0.0552609 | − | 0.0292865i | ||||
\(733\) | 36.6480 | + | 21.1587i | 1.35362 | + | 0.781515i | 0.988755 | − | 0.149544i | \(-0.0477805\pi\) |
0.364869 | + | 0.931059i | \(0.381114\pi\) | |||||||
\(734\) | 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 | ||||
\(738\) | 30.8852 | + | 14.9599i | 1.13690 | + | 0.550683i | ||||
\(739\) | 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 | ||||||||
\(741\) | −1.17395 | − | 1.87304i | −0.0431261 | − | 0.0688079i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.41770 | − | 3.12791i | 0.198756 | − | 0.114752i | −0.397319 | − | 0.917681i | \(-0.630059\pi\) |
0.596075 | + | 0.802929i | \(0.296726\pi\) | |||||||
\(744\) | −13.8090 | + | 26.0563i | −0.506263 | + | 0.955271i | ||||
\(745\) | −8.61696 | + | 4.97500i | −0.315701 | + | 0.182270i | ||||
\(746\) | 10.4205 | + | 6.01626i | 0.381520 | + | 0.220271i | ||||
\(747\) | 25.7940 | − | 1.87415i | 0.943753 | − | 0.0685716i | ||||
\(748\) | 5.81678i | 0.212682i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.8516 | − | 8.93082i | −0.615334 | − | 0.326107i | ||||
\(751\) | 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 | ||||||||
\(753\) | 6.47398 | − | 12.2158i | 0.235925 | − | 0.445169i | ||||
\(754\) | 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 | ||||||||
\(759\) | −0.173680 | + | 0.327718i | −0.00630418 | + | 0.0118954i | ||||
\(760\) | 0.876035 | 0.0317771 | ||||||||
\(761\) | 21.3106 | − | 36.9110i | 0.772508 | − | 1.33802i | −0.163676 | − | 0.986514i | \(-0.552335\pi\) |
0.936184 | − | 0.351509i | \(-0.114331\pi\) | |||||||
\(762\) | −6.13958 | − | 3.25378i | −0.222413 | − | 0.117872i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0.881003i | 0.0318736i | ||||||||
\(765\) | 5.47724 | − | 11.3079i | 0.198030 | − | 0.408838i | ||||
\(766\) | −16.5866 | − | 9.57627i | −0.599298 | − | 0.346005i | ||||
\(767\) | −7.94213 | + | 4.58539i | −0.286774 | + | 0.165569i | ||||
\(768\) | −5.35565 | + | 10.1056i | −0.193255 | + | 0.364655i | ||||
\(769\) | −0.932209 | + | 0.538211i | −0.0336163 | + | 0.0194084i | −0.516714 | − | 0.856158i | \(-0.672845\pi\) |
0.483098 | + | 0.875566i | \(0.339512\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.46729 | + | 3.93658i | 0.0888573 | + | 0.141772i | ||||
\(772\) | −1.68517 | −0.0606506 | ||||||||
\(773\) | 2.96855 | − | 5.14169i | 0.106771 | − | 0.184934i | −0.807689 | − | 0.589609i | \(-0.799282\pi\) |
0.914461 | + | 0.404675i | \(0.132615\pi\) | |||||||
\(774\) | −4.21996 | − | 58.0794i | −0.151683 | − | 2.08762i | ||||
\(775\) | 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 | ||||
\(780\) | 0.977237 | + | 0.517904i | 0.0349907 | + | 0.0185439i | ||||
\(781\) | −6.74118 | − | 11.6761i | −0.241218 | − | 0.417802i | ||||
\(782\) | 0.227095 | + | 0.393341i | 0.00812091 | + | 0.0140658i | ||||
\(783\) | −1.03231 | − | 0.454579i | −0.0368917 | − | 0.0162453i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 5.36746 | + | 3.09891i | 0.191573 | + | 0.110605i | ||||
\(786\) | −18.2534 | + | 11.4405i | −0.651078 | + | 0.408070i | ||||
\(787\) | 8.83847i | 0.315057i | 0.987514 | + | 0.157529i | \(0.0503527\pi\) | ||||
−0.987514 | + | 0.157529i | \(0.949647\pi\) | |||||||
\(788\) | 3.95069i | 0.140738i | ||||||||
\(789\) | −1.47177 | − | 40.5655i | −0.0523964 | − | 1.44417i | ||||
\(790\) | −5.03502 | − | 2.90697i | −0.179138 | − | 0.103425i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −13.0515 | + | 26.9452i | −0.463766 | + | 0.957457i | ||||
\(793\) | 5.11351 | + | 8.85687i | 0.181586 | + | 0.314517i | ||||
\(794\) | −11.3033 | − | 19.5778i | −0.401138 | − | 0.694791i | ||||
\(795\) | 0.363703 | + | 10.0245i | 0.0128992 | + | 0.355533i | ||||
\(796\) | −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 | ||||
\(801\) | 20.4548 | − | 42.2294i | 0.722733 | − | 1.49210i | ||||
\(802\) | −7.78939 | + | 13.4916i | −0.275053 | + | 0.476406i | ||||
\(803\) | −31.3278 | −1.10553 | ||||||||
\(804\) | −0.955536 | + | 1.80301i | −0.0336992 | + | 0.0635872i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −25.1678 | + | 14.5307i | −0.886499 | + | 0.511821i | ||||
\(807\) | −3.66014 | − | 5.83978i | −0.128843 | − | 0.205570i | ||||
\(808\) | 36.0313 | − | 20.8027i | 1.26758 | − | 0.731836i | ||||
\(809\) | −14.6570 | − | 8.46222i | −0.515312 | − | 0.297516i | 0.219702 | − | 0.975567i | \(-0.429491\pi\) |
−0.735015 | + | 0.678051i | \(0.762825\pi\) | |||||||
\(810\) | −8.27402 | + | 6.53711i | −0.290720 | + | 0.229691i | ||||
\(811\) | − | 26.9840i | − | 0.947536i | −0.880650 | − | 0.473768i | \(-0.842894\pi\) | ||
0.880650 | − | 0.473768i | \(-0.157106\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.785360 | − | 21.6464i | −0.0275438 | − | 0.759172i | ||||
\(814\) | 18.2637 | − | 31.6337i | 0.640144 | − | 1.10876i | ||||
\(815\) | 8.92616 | 0.312670 | ||||||||
\(816\) | 22.2554 | + | 35.5085i | 0.779093 | + | 1.24305i | ||||
\(817\) | − | 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 | \(0.188929\pi\) | ||||
−0.828967 | + | 0.559297i | \(0.811071\pi\) | |||||||
\(822\) | −45.2905 | + | 1.64320i | −1.57969 | + | 0.0573132i | ||||
\(823\) | 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 | ||||
\(825\) | 24.8062 | − | 15.5475i | 0.863641 | − | 0.541296i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 34.0792i | − | 1.18505i | −0.805552 | − | 0.592525i | \(-0.798131\pi\) | ||
0.805552 | − | 0.592525i | \(-0.201869\pi\) | |||||||
\(828\) | −0.00339641 | − | 0.0467449i | −0.000118033 | − | 0.00162450i | ||||
\(829\) | 29.3229 | + | 16.9296i | 1.01843 | + | 0.587988i | 0.913648 | − | 0.406507i | \(-0.133253\pi\) |
0.104778 | + | 0.994496i | \(0.466587\pi\) | |||||||
\(830\) | −8.74718 | + | 5.05019i | −0.303619 | + | 0.175295i | ||||
\(831\) | −34.0833 | + | 1.23659i | −1.18234 | + | 0.0428968i | ||||
\(832\) | 16.7416 | − | 9.66575i | 0.580410 | − | 0.335100i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 16.5300 | − | 0.599731i | 0.572387 | − | 0.0207670i | ||||
\(835\) | −13.0074 | −0.450140 | ||||||||
\(836\) | 0.234267 | − | 0.405763i | 0.00810231 | − | 0.0140336i | ||||
\(837\) | −3.69921 | − | 33.8669i | −0.127863 | − | 1.17061i | ||||
\(838\) | −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 | ||||
\(843\) | −11.9212 | + | 7.47171i | −0.410586 | + | 0.257339i | ||||
\(844\) | −0.722895 | − | 1.25209i | −0.0248831 | − | 0.0430987i | ||||
\(845\) | 1.70089 | + | 2.94603i | 0.0585124 | + | 0.101347i | ||||
\(846\) | −3.61971 | + | 2.45586i | −0.124448 | + | 0.0844343i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −28.9743 | − | 16.7283i | −0.994983 | − | 0.574454i | ||||
\(849\) | 2.05681 | + | 1.09004i | 0.0705895 | + | 0.0374102i | ||||
\(850\) | − | 35.8505i | − | 1.22966i | ||||||
\(851\) | − | 0.350691i | − | 0.0120215i | ||||||
\(852\) | 1.50536 | + | 0.797791i | 0.0515727 | + | 0.0273319i | ||||
\(853\) | 39.7270 | + | 22.9364i | 1.36023 | + | 0.785328i | 0.989654 | − | 0.143475i | \(-0.0458277\pi\) |
0.370574 | + | 0.928803i | \(0.379161\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.837497 | + | 0.568217i | −0.0286418 | + | 0.0194326i | ||||
\(856\) | 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 | \(0.934207\pi\) | |||||||
\(858\) | −25.0005 | + | 15.6693i | −0.853504 | + | 0.534943i | ||||
\(859\) | 5.03737 | + | 2.90833i | 0.171873 | + | 0.0992309i | 0.583469 | − | 0.812136i | \(-0.301695\pi\) |
−0.411596 | + | 0.911367i | \(0.635028\pi\) | |||||||
\(860\) | 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 | \(0.150048\pi\) | |||||||
\(864\) | −0.888583 | − | 8.13515i | −0.0302302 | − | 0.276763i | ||||
\(865\) | −0.664458 | + | 1.15087i | −0.0225922 | + | 0.0391309i | ||||
\(866\) | 49.8460 | 1.69384 | ||||||||
\(867\) | 21.0108 | − | 0.762301i | 0.713564 | − | 0.0258891i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 16.5157 | − | 9.53533i | 0.560256 | − | 0.323464i | ||||
\(870\) | 0.440235 | − | 0.0159723i | 0.0149254 | − | 0.000541513i | ||||
\(871\) | 10.6808 | − | 6.16658i | 0.361906 | − | 0.208946i | ||||
\(872\) | 5.76857 | + | 3.33048i | 0.195348 | + | 0.112784i | ||||
\(873\) | −0.311689 | − | 4.28979i | −0.0105491 | − | 0.145187i | ||||
\(874\) | − | 0.0365846i | − | 0.00123749i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.35434 | − | 2.10237i | 0.113333 | − | 0.0710324i | ||||
\(877\) | 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 | ||||||||
\(879\) | 36.7992 | − | 1.33513i | 1.24121 | − | 0.0450327i | ||||
\(880\) | − | 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 | ||||||||
\(885\) | 2.22982 | + | 3.55770i | 0.0749547 | + | 0.119591i | ||||
\(886\) | 31.2629 | 1.05030 | ||||||||
\(887\) | −6.48380 | + | 11.2303i | −0.217705 | + | 0.377076i | −0.954106 | − | 0.299469i | \(-0.903190\pi\) |
0.736401 | + | 0.676545i | \(0.236524\pi\) | |||||||
\(888\) | −1.02640 | − | 28.2901i | −0.0344438 | − | 0.949353i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 18.3255i | 0.614273i | ||||||||
\(891\) | −4.99992 | − | 34.2254i | −0.167504 | − | 1.14659i | ||||
\(892\) | −1.06497 | − | 0.614862i | −0.0356579 | − | 0.0205871i | ||||
\(893\) | −0.363577 | + | 0.209911i | −0.0121666 | + | 0.00702441i | ||||
\(894\) | 17.8135 | + | 28.4215i | 0.595771 | + | 0.950557i | ||||
\(895\) | 9.63184 | − | 5.56095i | 0.321957 | − | 0.185882i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.132648 | + | 0.250294i | −0.00442898 | + | 0.00835708i | ||||
\(898\) | −9.66828 | −0.322635 | ||||||||
\(899\) | −0.711627 | + | 1.23257i | −0.0237341 | + | 0.0411086i | ||||
\(900\) | −1.61268 | + | 3.32942i | −0.0537560 | + | 0.110981i | ||||
\(901\) | −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 | ||||
\(906\) | 0.498368 | + | 13.7362i | 0.0165572 | + | 0.456354i | ||||
\(907\) | 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 | ||||
\(909\) | −20.9531 | + | 43.2583i | −0.694972 | + | 1.43479i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 41.5720 | + | 24.0016i | 1.37734 | + | 0.795209i | 0.991839 | − | 0.127498i | \(-0.0406947\pi\) |
0.385503 | + | 0.922707i | \(0.374028\pi\) | |||||||
\(912\) | −0.122388 | − | 3.37331i | −0.00405268 | − | 0.111701i | ||||
\(913\) | − | 33.1308i | − | 1.09647i | ||||||
\(914\) | − | 4.75197i | − | 0.157181i | ||||||
\(915\) | 3.96746 | − | 2.48664i | 0.131160 | − | 0.0822059i | ||||
\(916\) | 2.14973 | + | 1.24115i | 0.0710292 | + | 0.0410087i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −38.7645 | − | 17.0701i | −1.27942 | − | 0.563396i | ||||
\(919\) | 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 | ||||
\(921\) | 20.2165 | + | 10.7141i | 0.666156 | + | 0.353041i | ||||
\(922\) | 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 | ||||
\(927\) | −3.66670 | − | 50.4649i | −0.120430 | − | 1.65749i | ||||
\(928\) | −0.170939 | + | 0.296076i | −0.00561136 | + | 0.00971915i | ||||
\(929\) | 23.5795 | 0.773618 | 0.386809 | − | 0.922160i | \(-0.373577\pi\) | ||||
0.386809 | + | 0.922160i | \(0.373577\pi\) | |||||||
\(930\) | 7.06609 | + | 11.2740i | 0.231706 | + | 0.369689i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.12944 | − | 1.80679i | 0.102508 | − | 0.0591832i | ||||
\(933\) | 16.6572 | − | 31.4306i | 0.545333 | − | 1.02899i | ||||
\(934\) | 32.4243 | − | 18.7202i | 1.06096 | − | 0.612543i | ||||
\(935\) | −13.9396 | − | 8.04801i | −0.455872 | − | 0.263198i | ||||
\(936\) | −9.96808 | + | 20.5794i | −0.325817 | + | 0.672658i | ||||
\(937\) | 52.5144i | 1.71557i | 0.514007 | + | 0.857786i | \(0.328160\pi\) | ||||
−0.514007 | + | 0.857786i | \(0.671840\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −25.2662 | − | 13.3903i | −0.824533 | − | 0.436976i | ||||
\(940\) | 0.105025 | − | 0.181908i | 0.00342553 | − | 0.00593319i | ||||
\(941\) | 49.1425 | 1.60200 | 0.801000 | − | 0.598664i | \(-0.204302\pi\) | ||||
0.801000 | + | 0.598664i | \(0.204302\pi\) | |||||||
\(942\) | 9.78382 | − | 18.4612i | 0.318774 | − | 0.601497i | ||||
\(943\) | − | 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 | \(0.0482531\pi\) | ||||
−0.988532 | + | 0.151012i | \(0.951747\pi\) | |||||||
\(948\) | −1.12847 | + | 2.12931i | −0.0366509 | + | 0.0691569i | ||||
\(949\) | −23.9266 | −0.776689 | ||||||||
\(950\) | −1.44386 | + | 2.50084i | −0.0468450 | + | 0.0811379i | ||||
\(951\) | −14.3337 | − | 7.59641i | −0.464803 | − | 0.246330i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 40.3761i | 1.30791i | 0.756534 | + | 0.653955i | \(0.226891\pi\) | ||||
−0.756534 | + | 0.653955i | \(0.773109\pi\) | |||||||
\(954\) | 33.7270 | − | 2.45055i | 1.09195 | − | 0.0793395i | ||||
\(955\) | −2.11127 | − | 1.21894i | −0.0683191 | − | 0.0394440i | ||||
\(956\) | −1.17319 | + | 0.677344i | −0.0379438 | + | 0.0219069i | ||||
\(957\) | −0.676648 | + | 1.27677i | −0.0218729 | + | 0.0412722i | ||||
\(958\) | 16.3827 | − | 9.45854i | 0.529300 | − | 0.305592i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −4.70034 | − | 7.49943i | −0.151703 | − | 0.242043i | ||||
\(961\) | −11.9872 | −0.386682 | ||||||||
\(962\) | 13.9489 | − | 24.1602i | 0.449731 | − | 0.778957i | ||||
\(963\) | −10.4891 | − | 5.08062i | −0.338006 | − | 0.163721i | ||||
\(964\) | −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 | ||||
\(969\) | −3.59200 | − | 1.90365i | −0.115392 | − | 0.0611539i | ||||
\(970\) | 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 | \(-0.390255\pi\) | |||||||
\(972\) | 2.83217 | + | 3.32905i | 0.0908420 | + | 0.106779i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.43986 | + | 2.56336i | 0.142262 | + | 0.0821353i | ||||
\(975\) | 18.9457 | − | 11.8744i | 0.606748 | − | 0.380285i | ||||
\(976\) | 15.6169i | 0.499885i | ||||||||
\(977\) | 26.5109i | 0.848159i | 0.905625 | + | 0.424080i | \(0.139402\pi\) | ||||
−0.905625 | + | 0.424080i | \(0.860598\pi\) | |||||||
\(978\) | −1.09103 | − | 30.0712i | −0.0348872 | − | 0.961572i | ||||
\(979\) | −52.0573 | − | 30.0553i | −1.66376 | − | 0.960572i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −7.67503 | + | 0.557655i | −0.245045 | + | 0.0178046i | ||||
\(982\) | 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 | \(0.624368\pi\) | |||||||
\(984\) | −1.23533 | − | 34.0487i | −0.0393810 | − | 1.08543i | ||||
\(985\) | −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 | ||||
\(990\) | 7.58431 | + | 11.1785i | 0.241045 | + | 0.355277i | ||||
\(991\) | 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 | ||||||||
\(993\) | −23.3944 | + | 44.1431i | −0.742399 | + | 1.40084i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.30881 | − | 3.06504i | 0.168301 | − | 0.0971684i | ||||
\(996\) | 2.22337 | + | 3.54739i | 0.0704500 | + | 0.112403i | ||||
\(997\) | −12.4807 | + | 7.20573i | −0.395267 | + | 0.228208i | −0.684440 | − | 0.729069i | \(-0.739953\pi\) |
0.289173 | + | 0.957277i | \(0.406620\pi\) | |||||||
\(998\) | −28.5996 | − | 16.5120i | −0.905306 | − | 0.522679i | ||||
\(999\) | 19.3309 | + | 26.3798i | 0.611601 | + | 0.834621i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))