Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0793711 | − | 0.206769i | 0.0561238 | − | 0.146208i | −0.902652 | − | 0.430371i | \(-0.858383\pi\) |
0.958776 | + | 0.284164i | \(0.0917160\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | 1.44984 | + | 1.30544i | 0.724918 | + | 0.652719i | ||||
\(5\) | 0.996265 | + | 0.157793i | 0.445543 | + | 0.0705671i | 0.375175 | − | 0.926954i | \(-0.377583\pi\) |
0.0703682 | + | 0.997521i | \(0.477583\pi\) | |||||||
\(6\) | −0.206769 | + | 0.0793711i | −0.0844130 | + | 0.0324031i | ||||
\(7\) | 3.42689 | − | 0.179596i | 1.29524 | − | 0.0678807i | 0.607782 | − | 0.794104i | \(-0.292059\pi\) |
0.687459 | + | 0.726223i | \(0.258726\pi\) | |||||||
\(8\) | 0.779678 | − | 0.397266i | 0.275658 | − | 0.140455i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 0.111701 | − | 0.193472i | 0.0353230 | − | 0.0611813i | ||||
\(11\) | −3.30697 | + | 0.252900i | −0.997089 | + | 0.0762522i | ||||
\(12\) | − | 1.95095i | − | 0.563190i | ||||||
\(13\) | 0.470261 | + | 3.57475i | 0.130427 | + | 0.991458i | ||||
\(14\) | 0.234861 | − | 0.722827i | 0.0627692 | − | 0.193184i | ||||
\(15\) | −0.549368 | − | 0.845953i | −0.141846 | − | 0.218424i | ||||
\(16\) | 0.387601 | + | 3.68777i | 0.0969002 | + | 0.921944i | ||||
\(17\) | −2.40086 | − | 1.06893i | −0.582295 | − | 0.259254i | 0.0943801 | − | 0.995536i | \(-0.469913\pi\) |
−0.676675 | + | 0.736282i | \(0.736580\pi\) | |||||||
\(18\) | 0.197339 | + | 0.100549i | 0.0465134 | + | 0.0236997i | ||||
\(19\) | 2.61321 | − | 4.02398i | 0.599510 | − | 0.923165i | −0.400466 | − | 0.916312i | \(-0.631152\pi\) |
0.999977 | − | 0.00685356i | \(-0.00218157\pi\) | |||||||
\(20\) | 1.23843 | + | 1.52934i | 0.276922 | + | 0.341970i | ||||
\(21\) | −2.42650 | − | 2.42650i | −0.529506 | − | 0.529506i | ||||
\(22\) | −0.210186 | + | 0.703851i | −0.0448118 | + | 0.150061i | ||||
\(23\) | 6.12172 | + | 3.53437i | 1.27647 | + | 0.736968i | 0.976197 | − | 0.216887i | \(-0.0695902\pi\) |
0.300269 | + | 0.953855i | \(0.402923\pi\) | |||||||
\(24\) | −0.816932 | − | 0.313591i | −0.166756 | − | 0.0640115i | ||||
\(25\) | −3.78764 | − | 1.23068i | −0.757527 | − | 0.246136i | ||||
\(26\) | 0.776472 | + | 0.186497i | 0.152279 | + | 0.0365750i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 5.20287 | + | 4.21320i | 0.983251 | + | 0.796221i | ||||
\(29\) | 0.645821 | − | 3.03835i | 0.119926 | − | 0.564207i | −0.876621 | − | 0.481181i | \(-0.840208\pi\) |
0.996547 | − | 0.0830264i | \(-0.0264586\pi\) | |||||||
\(30\) | −0.218521 | + | 0.0464480i | −0.0398962 | + | 0.00848020i | ||||
\(31\) | 0.0245276 | + | 0.154861i | 0.00440528 | + | 0.0278139i | 0.989793 | − | 0.142512i | \(-0.0455180\pi\) |
−0.985388 | + | 0.170326i | \(0.945518\pi\) | |||||||
\(32\) | 2.48375 | + | 0.665520i | 0.439070 | + | 0.117648i | ||||
\(33\) | 2.40074 | + | 2.28833i | 0.417914 | + | 0.398348i | ||||
\(34\) | −0.411581 | + | 0.411581i | −0.0705856 | + | 0.0705856i | ||||
\(35\) | 3.44243 | + | 0.361814i | 0.581876 | + | 0.0611577i | ||||
\(36\) | −1.44984 | + | 1.30544i | −0.241639 | + | 0.217573i | ||||
\(37\) | 6.56652 | − | 4.26435i | 1.07953 | − | 0.701055i | 0.122917 | − | 0.992417i | \(-0.460775\pi\) |
0.956613 | + | 0.291362i | \(0.0941085\pi\) | |||||||
\(38\) | −0.624621 | − | 0.859717i | −0.101327 | − | 0.139465i | ||||
\(39\) | 2.34189 | − | 2.74145i | 0.375003 | − | 0.438983i | ||||
\(40\) | 0.839451 | − | 0.272754i | 0.132729 | − | 0.0431262i | ||||
\(41\) | −2.36412 | − | 0.123898i | −0.369214 | − | 0.0193497i | −0.133173 | − | 0.991093i | \(-0.542517\pi\) |
−0.236041 | + | 0.971743i | \(0.575850\pi\) | |||||||
\(42\) | −0.694318 | + | 0.309130i | −0.107136 | + | 0.0476998i | ||||
\(43\) | 1.31384 | + | 2.27565i | 0.200359 | + | 0.347033i | 0.948644 | − | 0.316345i | \(-0.102456\pi\) |
−0.748285 | + | 0.663378i | \(0.769122\pi\) | |||||||
\(44\) | −5.12471 | − | 3.95038i | −0.772579 | − | 0.595542i | ||||
\(45\) | −0.261067 | + | 0.974314i | −0.0389175 | + | 0.145242i | ||||
\(46\) | 1.21669 | − | 0.985252i | 0.179390 | − | 0.145268i | ||||
\(47\) | −2.17813 | − | 4.27483i | −0.317713 | − | 0.623548i | 0.675823 | − | 0.737064i | \(-0.263788\pi\) |
−0.993536 | + | 0.113517i | \(0.963788\pi\) | |||||||
\(48\) | 2.48120 | − | 2.75565i | 0.358130 | − | 0.397743i | ||||
\(49\) | 4.74964 | − | 0.499207i | 0.678520 | − | 0.0713154i | ||||
\(50\) | −0.555094 | + | 0.685485i | −0.0785022 | + | 0.0969422i | ||||
\(51\) | 0.812119 | + | 2.49945i | 0.113719 | + | 0.349992i | ||||
\(52\) | −3.98482 | + | 5.79670i | −0.552595 | + | 0.803858i | ||||
\(53\) | −9.92598 | − | 7.21165i | −1.36344 | − | 0.990596i | −0.998218 | − | 0.0596748i | \(-0.980994\pi\) |
−0.365220 | − | 0.930921i | \(-0.619006\pi\) | |||||||
\(54\) | −0.0573230 | − | 0.213933i | −0.00780068 | − | 0.0291125i | ||||
\(55\) | −3.33452 | − | 0.269861i | −0.449627 | − | 0.0363880i | ||||
\(56\) | 2.60052 | − | 1.50141i | 0.347509 | − | 0.200634i | ||||
\(57\) | −4.73898 | + | 0.750580i | −0.627693 | + | 0.0994168i | ||||
\(58\) | −0.576976 | − | 0.374692i | −0.0757606 | − | 0.0491995i | ||||
\(59\) | 0.353016 | + | 6.73594i | 0.0459587 | + | 0.876944i | 0.920199 | + | 0.391451i | \(0.128027\pi\) |
−0.874240 | + | 0.485493i | \(0.838640\pi\) | |||||||
\(60\) | 0.307846 | − | 1.94366i | 0.0397427 | − | 0.250925i | ||||
\(61\) | 4.05178 | − | 9.10044i | 0.518777 | − | 1.16519i | −0.444278 | − | 0.895889i | \(-0.646540\pi\) |
0.963055 | − | 0.269303i | \(-0.0867935\pi\) | |||||||
\(62\) | 0.0339672 | + | 0.00721995i | 0.00431384 | + | 0.000916935i | ||||
\(63\) | −0.179596 | + | 3.42689i | −0.0226269 | + | 0.431747i | ||||
\(64\) | −4.02437 | + | 5.53907i | −0.503047 | + | 0.692384i | ||||
\(65\) | −0.0955661 | + | 3.63560i | −0.0118535 | + | 0.450941i | ||||
\(66\) | 0.663705 | − | 0.314769i | 0.0816964 | − | 0.0387454i | ||||
\(67\) | −11.5244 | + | 3.08795i | −1.40793 | + | 0.377253i | −0.881185 | − | 0.472772i | \(-0.843253\pi\) |
−0.526742 | + | 0.850025i | \(0.676587\pi\) | |||||||
\(68\) | −2.08543 | − | 4.68396i | −0.252896 | − | 0.568013i | ||||
\(69\) | −1.46968 | − | 6.91428i | −0.176928 | − | 0.832381i | ||||
\(70\) | 0.348041 | − | 0.683068i | 0.0415988 | − | 0.0816423i | ||||
\(71\) | 1.13528 | + | 2.95751i | 0.134733 | + | 0.350992i | 0.984304 | − | 0.176483i | \(-0.0564722\pi\) |
−0.849571 | + | 0.527475i | \(0.823139\pi\) | |||||||
\(72\) | 0.313591 | + | 0.816932i | 0.0369570 | + | 0.0962764i | ||||
\(73\) | −2.81770 | + | 5.53006i | −0.329787 | + | 0.647244i | −0.995051 | − | 0.0993644i | \(-0.968319\pi\) |
0.665264 | + | 0.746608i | \(0.268319\pi\) | |||||||
\(74\) | −0.360542 | − | 1.69622i | −0.0419122 | − | 0.197181i | ||||
\(75\) | 1.61985 | + | 3.63825i | 0.187044 | + | 0.420109i | ||||
\(76\) | 9.04178 | − | 2.42274i | 1.03716 | − | 0.277907i | ||||
\(77\) | −11.2872 | + | 1.46058i | −1.28629 | + | 0.166448i | ||||
\(78\) | −0.380967 | − | 0.701822i | −0.0431360 | − | 0.0794657i | ||||
\(79\) | −5.19685 | + | 7.15285i | −0.584691 | + | 0.804759i | −0.994200 | − | 0.107548i | \(-0.965700\pi\) |
0.409508 | + | 0.912306i | \(0.365700\pi\) | |||||||
\(80\) | −0.195752 | + | 3.73516i | −0.0218857 | + | 0.417604i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −0.213261 | + | 0.478993i | −0.0235508 | + | 0.0528959i | ||||
\(83\) | 1.62194 | − | 10.2405i | 0.178031 | − | 1.12404i | −0.723179 | − | 0.690661i | \(-0.757320\pi\) |
0.901210 | − | 0.433383i | \(-0.142680\pi\) | |||||||
\(84\) | −0.350381 | − | 6.68567i | −0.0382297 | − | 0.729467i | ||||
\(85\) | −2.22323 | − | 1.44378i | −0.241143 | − | 0.156600i | ||||
\(86\) | 0.574814 | − | 0.0910415i | 0.0619837 | − | 0.00981726i | ||||
\(87\) | −2.69007 | + | 1.55311i | −0.288406 | + | 0.166511i | ||||
\(88\) | −2.47790 | + | 1.51093i | −0.264145 | + | 0.161065i | ||||
\(89\) | −2.01989 | − | 7.53833i | −0.214108 | − | 0.799062i | −0.986479 | − | 0.163890i | \(-0.947596\pi\) |
0.772371 | − | 0.635172i | \(-0.219071\pi\) | |||||||
\(90\) | 0.180736 | + | 0.131313i | 0.0190513 | + | 0.0138416i | ||||
\(91\) | 2.25354 | + | 12.1658i | 0.236235 | + | 1.27532i | ||||
\(92\) | 4.26158 | + | 13.1158i | 0.444300 | + | 1.36742i | ||||
\(93\) | 0.0986720 | − | 0.121850i | 0.0102318 | − | 0.0126352i | ||||
\(94\) | −1.05678 | + | 0.111072i | −0.108999 | + | 0.0114562i | ||||
\(95\) | 3.23840 | − | 3.59661i | 0.332253 | − | 0.369004i | ||||
\(96\) | −1.16738 | − | 2.29111i | −0.119145 | − | 0.233835i | ||||
\(97\) | −7.22736 | + | 5.85260i | −0.733827 | + | 0.594242i | −0.921678 | − | 0.387956i | \(-0.873181\pi\) |
0.187851 | + | 0.982198i | \(0.439848\pi\) | |||||||
\(98\) | 0.273764 | − | 1.02170i | 0.0276543 | − | 0.103207i | ||||
\(99\) | 0.0941579 | − | 3.31529i | 0.00946323 | − | 0.333199i | ||||
\(100\) | −3.88488 | − | 6.72881i | −0.388488 | − | 0.672881i | ||||
\(101\) | 10.5785 | − | 4.70987i | 1.05260 | − | 0.468650i | 0.193847 | − | 0.981032i | \(-0.437904\pi\) |
0.858758 | + | 0.512382i | \(0.171237\pi\) | |||||||
\(102\) | 0.581266 | + | 0.0304628i | 0.0575539 | + | 0.00301627i | ||||
\(103\) | −8.57376 | + | 2.78578i | −0.844798 | + | 0.274491i | −0.699265 | − | 0.714862i | \(-0.746489\pi\) |
−0.145532 | + | 0.989354i | \(0.546489\pi\) | |||||||
\(104\) | 1.78678 | + | 2.60034i | 0.175208 | + | 0.254984i | ||||
\(105\) | −2.03455 | − | 2.80032i | −0.198552 | − | 0.273283i | ||||
\(106\) | −2.27898 | + | 1.47999i | −0.221354 | + | 0.143749i | ||||
\(107\) | −8.74250 | + | 7.87178i | −0.845170 | + | 0.760994i | −0.973001 | − | 0.230802i | \(-0.925865\pi\) |
0.127831 | + | 0.991796i | \(0.459198\pi\) | |||||||
\(108\) | 1.94026 | + | 0.203929i | 0.186702 | + | 0.0196231i | ||||
\(109\) | 1.20981 | − | 1.20981i | 0.115878 | − | 0.115878i | −0.646790 | − | 0.762668i | \(-0.723889\pi\) |
0.762668 | + | 0.646790i | \(0.223889\pi\) | |||||||
\(110\) | −0.320463 | + | 0.668056i | −0.0305550 | + | 0.0636966i | ||||
\(111\) | −7.56289 | − | 2.02647i | −0.717838 | − | 0.192344i | ||||
\(112\) | 1.99057 | + | 12.5680i | 0.188091 | + | 1.18756i | ||||
\(113\) | −17.4228 | + | 3.70333i | −1.63900 | + | 0.348380i | −0.933012 | − | 0.359844i | \(-0.882830\pi\) |
−0.705987 | + | 0.708225i | \(0.749496\pi\) | |||||||
\(114\) | −0.220941 | + | 1.03945i | −0.0206930 | + | 0.0973531i | ||||
\(115\) | 5.54115 | + | 4.48714i | 0.516715 | + | 0.418428i | ||||
\(116\) | 4.90271 | − | 3.56203i | 0.455205 | − | 0.330726i | ||||
\(117\) | −3.60433 | + | 0.0940213i | −0.333220 | + | 0.00869227i | ||||
\(118\) | 1.42080 | + | 0.461646i | 0.130795 | + | 0.0424980i | ||||
\(119\) | −8.41946 | − | 3.23193i | −0.771811 | − | 0.296270i | ||||
\(120\) | −0.764399 | − | 0.441326i | −0.0697797 | − | 0.0402873i | ||||
\(121\) | 10.8721 | − | 1.67266i | 0.988371 | − | 0.152060i | ||||
\(122\) | −1.56009 | − | 1.56009i | −0.141244 | − | 0.141244i | ||||
\(123\) | 1.48983 | + | 1.83979i | 0.134334 | + | 0.165888i | ||||
\(124\) | −0.166601 | + | 0.256542i | −0.0149612 | + | 0.0230382i | ||||
\(125\) | −8.07302 | − | 4.11341i | −0.722073 | − | 0.367914i | ||||
\(126\) | 0.694318 | + | 0.309130i | 0.0618548 | + | 0.0275395i | ||||
\(127\) | −1.75865 | − | 16.7325i | −0.156055 | − | 1.48477i | −0.739798 | − | 0.672829i | \(-0.765079\pi\) |
0.583743 | − | 0.811938i | \(-0.301588\pi\) | |||||||
\(128\) | 3.62683 | + | 5.58482i | 0.320569 | + | 0.493633i | ||||
\(129\) | 0.812001 | − | 2.49908i | 0.0714927 | − | 0.220032i | ||||
\(130\) | 0.744144 | + | 0.308322i | 0.0652658 | + | 0.0270416i | ||||
\(131\) | − | 1.38354i | − | 0.120881i | −0.998172 | − | 0.0604403i | \(-0.980750\pi\) | ||
0.998172 | − | 0.0604403i | \(-0.0192505\pi\) | |||||||
\(132\) | 0.493394 | + | 6.45172i | 0.0429445 | + | 0.561550i | ||||
\(133\) | 8.23247 | − | 14.2591i | 0.713846 | − | 1.23642i | ||||
\(134\) | −0.276211 | + | 2.62797i | −0.0238610 | + | 0.227022i | ||||
\(135\) | 0.898744 | − | 0.457933i | 0.0773515 | − | 0.0394126i | ||||
\(136\) | −2.29655 | + | 0.120357i | −0.196928 | + | 0.0103205i | ||||
\(137\) | −8.25748 | + | 3.16975i | −0.705484 | + | 0.270810i | −0.684545 | − | 0.728971i | \(-0.739999\pi\) |
−0.0209393 | + | 0.999781i | \(0.506666\pi\) | |||||||
\(138\) | −1.54631 | − | 0.244911i | −0.131630 | − | 0.0208482i | ||||
\(139\) | −9.35738 | − | 8.42542i | −0.793683 | − | 0.714635i | 0.168897 | − | 0.985634i | \(-0.445979\pi\) |
−0.962580 | + | 0.270999i | \(0.912646\pi\) | |||||||
\(140\) | 4.51863 | + | 5.01845i | 0.381894 | + | 0.424136i | ||||
\(141\) | −1.71936 | + | 4.47909i | −0.144796 | + | 0.377207i | ||||
\(142\) | 0.701628 | 0.0588793 | ||||||||
\(143\) | −2.45919 | − | 11.7027i | −0.205648 | − | 0.978626i | ||||
\(144\) | −3.70809 | −0.309007 | ||||||||
\(145\) | 1.12284 | − | 2.92509i | 0.0932466 | − | 0.242916i | ||||
\(146\) | 0.919798 | + | 1.02154i | 0.0761230 | + | 0.0845432i | ||||
\(147\) | −3.54911 | − | 3.19564i | −0.292726 | − | 0.263572i | ||||
\(148\) | 15.0872 | + | 2.38958i | 1.24016 | + | 0.196422i | ||||
\(149\) | 13.7939 | − | 5.29499i | 1.13004 | − | 0.433783i | 0.279740 | − | 0.960076i | \(-0.409752\pi\) |
0.850303 | + | 0.526293i | \(0.176419\pi\) | |||||||
\(150\) | 0.880845 | − | 0.0461631i | 0.0719207 | − | 0.00376920i | ||||
\(151\) | 10.9254 | − | 5.56676i | 0.889094 | − | 0.453016i | 0.0510990 | − | 0.998694i | \(-0.483728\pi\) |
0.837995 | + | 0.545677i | \(0.183728\pi\) | |||||||
\(152\) | 0.438868 | − | 4.17555i | 0.0355969 | − | 0.338682i | ||||
\(153\) | 1.31404 | − | 2.27598i | 0.106234 | − | 0.184002i | ||||
\(154\) | −0.593875 | + | 2.44976i | −0.0478558 | + | 0.197408i | ||||
\(155\) | 0.158153i | 0.0127031i | ||||||||
\(156\) | 6.97415 | − | 0.917454i | 0.558379 | − | 0.0734551i | ||||
\(157\) | 3.47532 | − | 10.6959i | 0.277360 | − | 0.853628i | −0.711225 | − | 0.702965i | \(-0.751859\pi\) |
0.988585 | − | 0.150663i | \(-0.0481408\pi\) | |||||||
\(158\) | 1.06651 | + | 1.64228i | 0.0848467 | + | 0.130652i | ||||
\(159\) | 1.28248 | + | 12.2020i | 0.101707 | + | 0.967680i | ||||
\(160\) | 2.36946 | + | 1.05495i | 0.187322 | + | 0.0834013i | ||||
\(161\) | 21.6132 | + | 11.0125i | 1.70336 | + | 0.867904i | ||||
\(162\) | −0.120626 | + | 0.185748i | −0.00947729 | + | 0.0145938i | ||||
\(163\) | 7.58730 | + | 9.36953i | 0.594283 | + | 0.733878i | 0.982205 | − | 0.187814i | \(-0.0601403\pi\) |
−0.387922 | + | 0.921692i | \(0.626807\pi\) | |||||||
\(164\) | −3.26585 | − | 3.26585i | −0.255020 | − | 0.255020i | ||||
\(165\) | 2.03069 | + | 2.65861i | 0.158089 | + | 0.206972i | ||||
\(166\) | −1.98869 | − | 1.14817i | −0.154352 | − | 0.0891151i | ||||
\(167\) | 18.1713 | + | 6.97532i | 1.40614 | + | 0.539767i | 0.938847 | − | 0.344336i | \(-0.111896\pi\) |
0.467294 | + | 0.884102i | \(0.345229\pi\) | |||||||
\(168\) | −2.85585 | − | 0.927923i | −0.220334 | − | 0.0715908i | ||||
\(169\) | −12.5577 | + | 3.36213i | −0.965978 | + | 0.258626i | ||||
\(170\) | −0.474988 | + | 0.345099i | −0.0364299 | + | 0.0264679i | ||||
\(171\) | 3.72879 | + | 3.01951i | 0.285147 | + | 0.230908i | ||||
\(172\) | −1.06586 | + | 5.01446i | −0.0812707 | + | 0.382349i | ||||
\(173\) | −0.639363 | + | 0.135901i | −0.0486099 | + | 0.0103323i | −0.232152 | − | 0.972679i | \(-0.574577\pi\) |
0.183543 | + | 0.983012i | \(0.441243\pi\) | |||||||
\(174\) | 0.107621 | + | 0.679495i | 0.00815876 | + | 0.0515124i | ||||
\(175\) | −13.2008 | − | 3.53715i | −0.997889 | − | 0.267383i | ||||
\(176\) | −2.21442 | − | 12.0973i | −0.166918 | − | 0.911871i | ||||
\(177\) | 4.76956 | − | 4.76956i | 0.358502 | − | 0.358502i | ||||
\(178\) | −1.71901 | − | 0.180675i | −0.128845 | − | 0.0135422i | ||||
\(179\) | 3.11411 | − | 2.80395i | 0.232759 | − | 0.209577i | −0.544495 | − | 0.838764i | \(-0.683279\pi\) |
0.777254 | + | 0.629187i | \(0.216612\pi\) | |||||||
\(180\) | −1.65041 | + | 1.07179i | −0.123014 | + | 0.0798864i | ||||
\(181\) | −10.3048 | − | 14.1833i | −0.765947 | − | 1.05424i | −0.996696 | − | 0.0812224i | \(-0.974118\pi\) |
0.230749 | − | 0.973013i | \(-0.425882\pi\) | |||||||
\(182\) | 2.69438 | + | 0.499652i | 0.199720 | + | 0.0370367i | ||||
\(183\) | −9.47412 | + | 3.07833i | −0.700347 | + | 0.227556i | ||||
\(184\) | 6.17705 | + | 0.323726i | 0.455378 | + | 0.0238654i | ||||
\(185\) | 7.21488 | − | 3.21227i | 0.530449 | − | 0.236171i | ||||
\(186\) | −0.0173630 | − | 0.0300736i | −0.00127312 | − | 0.00220511i | ||||
\(187\) | 8.20991 | + | 2.92775i | 0.600368 | + | 0.214098i | ||||
\(188\) | 2.42259 | − | 9.04122i | 0.176685 | − | 0.659398i | ||||
\(189\) | 2.66685 | − | 2.15957i | 0.193984 | − | 0.157086i | ||||
\(190\) | −0.486631 | − | 0.955067i | −0.0353039 | − | 0.0692878i | ||||
\(191\) | −14.9798 | + | 16.6368i | −1.08390 | + | 1.20380i | −0.106081 | + | 0.994357i | \(0.533830\pi\) |
−0.977822 | + | 0.209439i | \(0.932836\pi\) | |||||||
\(192\) | 6.80916 | − | 0.715672i | 0.491409 | − | 0.0516492i | ||||
\(193\) | −3.08472 | + | 3.80931i | −0.222043 | + | 0.274200i | −0.875979 | − | 0.482350i | \(-0.839783\pi\) |
0.653936 | + | 0.756550i | \(0.273117\pi\) | |||||||
\(194\) | 0.636491 | + | 1.95892i | 0.0456974 | + | 0.140642i | ||||
\(195\) | 2.76573 | − | 2.36167i | 0.198058 | − | 0.169123i | ||||
\(196\) | 7.53789 | + | 5.47660i | 0.538421 | + | 0.391185i | ||||
\(197\) | 3.98537 | + | 14.8736i | 0.283946 | + | 1.05970i | 0.949606 | + | 0.313446i | \(0.101484\pi\) |
−0.665660 | + | 0.746255i | \(0.731850\pi\) | |||||||
\(198\) | −0.678024 | − | 0.282607i | −0.0481851 | − | 0.0200840i | ||||
\(199\) | 8.35462 | − | 4.82354i | 0.592244 | − | 0.341932i | −0.173741 | − | 0.984791i | \(-0.555585\pi\) |
0.765984 | + | 0.642859i | \(0.222252\pi\) | |||||||
\(200\) | −3.44204 | + | 0.545166i | −0.243389 | + | 0.0385491i | ||||
\(201\) | 10.0061 | + | 6.49804i | 0.705777 | + | 0.458337i | ||||
\(202\) | −0.134224 | − | 2.56114i | −0.00944394 | − | 0.180201i | ||||
\(203\) | 1.66748 | − | 10.5281i | 0.117034 | − | 0.738925i | ||||
\(204\) | −2.08543 | + | 4.68396i | −0.146009 | + | 0.327943i | ||||
\(205\) | −2.33574 | − | 0.496477i | −0.163135 | − | 0.0346755i | ||||
\(206\) | −0.104496 | + | 1.99390i | −0.00728056 | + | 0.138921i | ||||
\(207\) | −4.15491 | + | 5.71874i | −0.288786 | + | 0.397480i | ||||
\(208\) | −13.0006 | + | 3.11979i | −0.901430 | + | 0.216319i | ||||
\(209\) | −7.62412 | + | 13.9681i | −0.527372 | + | 0.966191i | ||||
\(210\) | −0.740503 | + | 0.198417i | −0.0510996 | + | 0.0136921i | ||||
\(211\) | −1.38481 | − | 3.11033i | −0.0953341 | − | 0.214124i | 0.859583 | − | 0.510996i | \(-0.170723\pi\) |
−0.954917 | + | 0.296872i | \(0.904057\pi\) | |||||||
\(212\) | −4.97668 | − | 23.4135i | −0.341800 | − | 1.60804i | ||||
\(213\) | 1.43821 | − | 2.82264i | 0.0985442 | − | 0.193404i | ||||
\(214\) | 0.933737 | + | 2.43247i | 0.0638289 | + | 0.166280i | ||||
\(215\) | 0.949857 | + | 2.47446i | 0.0647797 | + | 0.168757i | ||||
\(216\) | 0.397266 | − | 0.779678i | 0.0270305 | − | 0.0530503i | ||||
\(217\) | 0.111866 | + | 0.526286i | 0.00759393 | + | 0.0357266i | ||||
\(218\) | −0.154126 | − | 0.346174i | −0.0104388 | − | 0.0234458i | ||||
\(219\) | 5.99504 | − | 1.60637i | 0.405108 | − | 0.108548i | ||||
\(220\) | −4.48223 | − | 4.74427i | −0.302192 | − | 0.319858i | ||||
\(221\) | 2.69214 | − | 9.08517i | 0.181093 | − | 0.611135i | ||||
\(222\) | −1.01929 | + | 1.40293i | −0.0684099 | + | 0.0941582i | ||||
\(223\) | −0.669613 | + | 12.7770i | −0.0448406 | + | 0.855609i | 0.879935 | + | 0.475095i | \(0.157586\pi\) |
−0.924775 | + | 0.380514i | \(0.875747\pi\) | |||||||
\(224\) | 8.63106 | + | 1.83459i | 0.576687 | + | 0.122579i | ||||
\(225\) | 1.61985 | − | 3.63825i | 0.107990 | − | 0.242550i | ||||
\(226\) | −0.617134 | + | 3.89643i | −0.0410511 | + | 0.259187i | ||||
\(227\) | 1.07971 | + | 20.6021i | 0.0716628 | + | 1.36741i | 0.763712 | + | 0.645557i | \(0.223375\pi\) |
−0.692049 | + | 0.721851i | \(0.743292\pi\) | |||||||
\(228\) | −7.85058 | − | 5.09823i | −0.519917 | − | 0.337638i | ||||
\(229\) | 3.63515 | − | 0.575752i | 0.240218 | − | 0.0380467i | −0.0351646 | − | 0.999382i | \(-0.511196\pi\) |
0.275382 | + | 0.961335i | \(0.411196\pi\) | |||||||
\(230\) | 1.36761 | − | 0.789588i | 0.0901773 | − | 0.0520639i | ||||
\(231\) | 8.63802 | + | 7.41070i | 0.568340 | + | 0.487588i | ||||
\(232\) | −0.703499 | − | 2.62549i | −0.0461870 | − | 0.172372i | ||||
\(233\) | −20.3996 | − | 14.8212i | −1.33643 | − | 0.970970i | −0.999567 | − | 0.0294145i | \(-0.990636\pi\) |
−0.336858 | − | 0.941555i | \(-0.609364\pi\) | |||||||
\(234\) | −0.266638 | + | 0.752724i | −0.0174307 | + | 0.0492071i | ||||
\(235\) | −1.49546 | − | 4.60255i | −0.0975531 | − | 0.300238i | ||||
\(236\) | −8.28154 | + | 10.2268i | −0.539082 | + | 0.665711i | ||||
\(237\) | 8.79298 | − | 0.924179i | 0.571165 | − | 0.0600319i | ||||
\(238\) | −1.33652 | + | 1.48436i | −0.0866339 | + | 0.0962167i | ||||
\(239\) | 7.73189 | + | 15.1747i | 0.500135 | + | 0.981569i | 0.993722 | + | 0.111873i | \(0.0356851\pi\) |
−0.493588 | + | 0.869696i | \(0.664315\pi\) | |||||||
\(240\) | 2.90675 | − | 2.35384i | 0.187630 | − | 0.151940i | ||||
\(241\) | 1.11863 | − | 4.17480i | 0.0720575 | − | 0.268922i | −0.920492 | − | 0.390760i | \(-0.872212\pi\) |
0.992550 | + | 0.121838i | \(0.0388788\pi\) | |||||||
\(242\) | 0.517074 | − | 2.38077i | 0.0332388 | − | 0.153042i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 17.7545 | − | 7.90480i | 1.13661 | − | 0.506053i | ||||
\(245\) | 4.81067 | + | 0.252117i | 0.307343 | + | 0.0161071i | ||||
\(246\) | 0.498661 | − | 0.162025i | 0.0317934 | − | 0.0103303i | ||||
\(247\) | 15.6136 | + | 7.44924i | 0.993472 | + | 0.473984i | ||||
\(248\) | 0.0806446 | + | 0.110998i | 0.00512094 | + | 0.00704836i | ||||
\(249\) | −8.69548 | + | 5.64691i | −0.551054 | + | 0.357859i | ||||
\(250\) | −1.49129 | + | 1.34276i | −0.0943173 | + | 0.0849237i | ||||
\(251\) | 11.2576 | + | 1.18323i | 0.710576 | + | 0.0746846i | 0.452919 | − | 0.891552i | \(-0.350383\pi\) |
0.257657 | + | 0.966236i | \(0.417049\pi\) | |||||||
\(252\) | −4.73397 | + | 4.73397i | −0.298212 | + | 0.298212i | ||||
\(253\) | −21.1382 | − | 10.1399i | −1.32895 | − | 0.637489i | ||||
\(254\) | −3.59934 | − | 0.964440i | −0.225843 | − | 0.0605143i | ||||
\(255\) | 0.414691 | + | 2.61826i | 0.0259690 | + | 0.163962i | ||||
\(256\) | −11.9515 | + | 2.54037i | −0.746967 | + | 0.158773i | ||||
\(257\) | −1.00336 | + | 4.72044i | −0.0625879 | + | 0.294453i | −0.998298 | − | 0.0583165i | \(-0.981427\pi\) |
0.935710 | + | 0.352770i | \(0.114760\pi\) | |||||||
\(258\) | −0.452282 | − | 0.366251i | −0.0281579 | − | 0.0228018i | ||||
\(259\) | 21.7369 | − | 15.7928i | 1.35066 | − | 0.981314i | ||||
\(260\) | −4.88461 | + | 5.14628i | −0.302931 | + | 0.319158i | ||||
\(261\) | 2.95420 | + | 0.959877i | 0.182860 | + | 0.0594149i | ||||
\(262\) | −0.286073 | − | 0.109813i | −0.0176737 | − | 0.00678428i | ||||
\(263\) | 10.3055 | + | 5.94986i | 0.635462 | + | 0.366884i | 0.782864 | − | 0.622193i | \(-0.213758\pi\) |
−0.147403 | + | 0.989077i | \(0.547091\pi\) | |||||||
\(264\) | 2.78088 | + | 0.830433i | 0.171151 | + | 0.0511096i | ||||
\(265\) | −8.75096 | − | 8.75096i | −0.537567 | − | 0.537567i | ||||
\(266\) | −2.29491 | − | 2.83397i | −0.140710 | − | 0.173762i | ||||
\(267\) | −4.25050 | + | 6.54520i | −0.260127 | + | 0.400560i | ||||
\(268\) | −20.7396 | − | 10.5673i | −1.26687 | − | 0.645504i | ||||
\(269\) | 22.2477 | + | 9.90530i | 1.35646 | + | 0.603937i | 0.950720 | − | 0.310050i | \(-0.100346\pi\) |
0.405744 | + | 0.913987i | \(0.367012\pi\) | |||||||
\(270\) | −0.0233519 | − | 0.222179i | −0.00142115 | − | 0.0135214i | ||||
\(271\) | 10.0036 | + | 15.4042i | 0.607675 | + | 0.935737i | 0.999874 | + | 0.0158567i | \(0.00504755\pi\) |
−0.392200 | + | 0.919880i | \(0.628286\pi\) | |||||||
\(272\) | 3.01141 | − | 9.26816i | 0.182593 | − | 0.561965i | ||||
\(273\) | 7.53305 | − | 9.81522i | 0.455921 | − | 0.594044i | ||||
\(274\) | 1.95897i | 0.118346i | ||||||||
\(275\) | 12.8368 | + | 3.11192i | 0.774090 | + | 0.187656i | ||||
\(276\) | 6.89538 | − | 11.9431i | 0.415053 | − | 0.718893i | ||||
\(277\) | 1.67071 | − | 15.8958i | 0.100383 | − | 0.955084i | −0.822177 | − | 0.569232i | \(-0.807241\pi\) |
0.922561 | − | 0.385852i | \(-0.126093\pi\) | |||||||
\(278\) | −2.48482 | + | 1.26608i | −0.149030 | + | 0.0759343i | ||||
\(279\) | −0.156577 | + | 0.00820583i | −0.00937399 | + | 0.000491270i | ||||
\(280\) | 2.82772 | − | 1.08546i | 0.168989 | − | 0.0648686i | ||||
\(281\) | 5.45356 | + | 0.863759i | 0.325332 | + | 0.0515275i | 0.316964 | − | 0.948437i | \(-0.397336\pi\) |
0.00836770 | + | 0.999965i | \(0.497336\pi\) | |||||||
\(282\) | 0.789667 | + | 0.711020i | 0.0470240 | + | 0.0423406i | ||||
\(283\) | −7.41548 | − | 8.23573i | −0.440805 | − | 0.489563i | 0.481272 | − | 0.876572i | \(-0.340175\pi\) |
−0.922076 | + | 0.387008i | \(0.873508\pi\) | |||||||
\(284\) | −2.21487 | + | 5.76994i | −0.131428 | + | 0.342383i | ||||
\(285\) | −4.83971 | −0.286680 | ||||||||
\(286\) | −2.61493 | − | 0.420369i | −0.154624 | − | 0.0248569i | ||||
\(287\) | −8.12383 | −0.479535 | ||||||||
\(288\) | −0.921497 | + | 2.40058i | −0.0542997 | + | 0.141456i | ||||
\(289\) | −6.75369 | − | 7.50074i | −0.397276 | − | 0.441220i | ||||
\(290\) | −0.515697 | − | 0.464336i | −0.0302828 | − | 0.0272667i | ||||
\(291\) | 9.18538 | + | 1.45482i | 0.538456 | + | 0.0852831i | ||||
\(292\) | −11.3044 | + | 4.33934i | −0.661537 | + | 0.253940i | ||||
\(293\) | 30.1363 | − | 1.57938i | 1.76058 | − | 0.0922683i | 0.855579 | − | 0.517672i | \(-0.173201\pi\) |
0.905004 | + | 0.425403i | \(0.139868\pi\) | |||||||
\(294\) | −0.942455 | + | 0.480205i | −0.0549651 | + | 0.0280061i | ||||
\(295\) | −0.711186 | + | 6.76648i | −0.0414068 | + | 0.393960i | ||||
\(296\) | 3.42569 | − | 5.93347i | 0.199114 | − | 0.344876i | ||||
\(297\) | −2.52674 | + | 2.14839i | −0.146617 | + | 0.124662i | ||||
\(298\) | − | 3.27242i | − | 0.189566i | ||||||
\(299\) | −9.75571 | + | 23.5457i | −0.564187 | + | 1.36168i | ||||
\(300\) | −2.40099 | + | 7.38948i | −0.138621 | + | 0.426632i | ||||
\(301\) | 4.91109 | + | 7.56242i | 0.283071 | + | 0.435891i | ||||
\(302\) | −0.283872 | − | 2.70086i | −0.0163350 | − | 0.155417i | ||||
\(303\) | −10.5785 | − | 4.70987i | −0.607721 | − | 0.270575i | ||||
\(304\) | 15.8524 | + | 8.07721i | 0.909199 | + | 0.463260i | ||||
\(305\) | 5.47263 | − | 8.42711i | 0.313362 | − | 0.482535i | ||||
\(306\) | −0.366304 | − | 0.452348i | −0.0209402 | − | 0.0258590i | ||||
\(307\) | 1.37410 | + | 1.37410i | 0.0784238 | + | 0.0784238i | 0.745231 | − | 0.666807i | \(-0.232339\pi\) |
−0.666807 | + | 0.745231i | \(0.732339\pi\) | |||||||
\(308\) | −18.2713 | − | 12.6171i | −1.04110 | − | 0.718928i | ||||
\(309\) | 7.80721 | + | 4.50749i | 0.444136 | + | 0.256422i | ||||
\(310\) | 0.0327011 | + | 0.0125528i | 0.00185730 | + | 0.000712949i | ||||
\(311\) | 28.7832 | + | 9.35224i | 1.63215 | + | 0.530317i | 0.974764 | − | 0.223238i | \(-0.0716629\pi\) |
0.657384 | + | 0.753556i | \(0.271663\pi\) | |||||||
\(312\) | 0.736839 | − | 3.06780i | 0.0417153 | − | 0.173680i | ||||
\(313\) | 6.24899 | − | 4.54016i | 0.353214 | − | 0.256625i | −0.397002 | − | 0.917818i | \(-0.629949\pi\) |
0.750216 | + | 0.661193i | \(0.229949\pi\) | |||||||
\(314\) | −1.93574 | − | 1.56753i | −0.109240 | − | 0.0884610i | ||||
\(315\) | −0.719663 | + | 3.38575i | −0.0405484 | + | 0.190765i | ||||
\(316\) | −16.8722 | + | 3.58629i | −0.949135 | + | 0.201745i | ||||
\(317\) | −2.20035 | − | 13.8925i | −0.123584 | − | 0.780280i | −0.969161 | − | 0.246427i | \(-0.920744\pi\) |
0.845577 | − | 0.533853i | \(-0.179256\pi\) | |||||||
\(318\) | 2.62478 | + | 0.703307i | 0.147190 | + | 0.0394395i | ||||
\(319\) | −1.36731 | + | 10.2110i | −0.0765547 | + | 0.571709i | ||||
\(320\) | −4.88337 | + | 4.88337i | −0.272989 | + | 0.272989i | ||||
\(321\) | 11.6998 | + | 1.22969i | 0.653016 | + | 0.0686348i | ||||
\(322\) | 3.99249 | − | 3.59486i | 0.222493 | − | 0.200334i | ||||
\(323\) | −10.5753 | + | 6.86769i | −0.588427 | + | 0.382129i | ||||
\(324\) | −1.14674 | − | 1.57835i | −0.0637077 | − | 0.0876861i | ||||
\(325\) | 2.61819 | − | 14.1186i | 0.145231 | − | 0.783159i | ||||
\(326\) | 2.53954 | − | 0.825146i | 0.140652 | − | 0.0457006i | ||||
\(327\) | −1.70858 | − | 0.0895429i | −0.0944847 | − | 0.00495173i | ||||
\(328\) | −1.89247 | + | 0.842584i | −0.104494 | + | 0.0465239i | ||||
\(329\) | −8.23195 | − | 14.2582i | −0.453842 | − | 0.786078i | ||||
\(330\) | 0.710894 | − | 0.208866i | 0.0391334 | − | 0.0114977i | ||||
\(331\) | 1.09985 | − | 4.10469i | 0.0604532 | − | 0.225614i | −0.929089 | − | 0.369855i | \(-0.879407\pi\) |
0.989543 | + | 0.144241i | \(0.0460740\pi\) | |||||||
\(332\) | 15.7199 | − | 12.7297i | 0.862743 | − | 0.698635i | ||||
\(333\) | 3.55460 | + | 6.97630i | 0.194791 | + | 0.382299i | ||||
\(334\) | 2.88456 | − | 3.20362i | 0.157836 | − | 0.175295i | ||||
\(335\) | −11.9686 | + | 1.25795i | −0.653914 | + | 0.0687291i | ||||
\(336\) | 8.00787 | − | 9.88890i | 0.436865 | − | 0.539484i | ||||
\(337\) | −3.45747 | − | 10.6410i | −0.188340 | − | 0.579652i | 0.811649 | − | 0.584145i | \(-0.198570\pi\) |
−0.999990 | + | 0.00449248i | \(0.998570\pi\) | |||||||
\(338\) | −0.301535 | + | 2.86340i | −0.0164013 | + | 0.155748i | ||||
\(339\) | 14.4102 | + | 10.4697i | 0.782657 | + | 0.568634i | ||||
\(340\) | −1.33855 | − | 4.99553i | −0.0725930 | − | 0.270921i | ||||
\(341\) | −0.120276 | − | 0.505918i | −0.00651333 | − | 0.0273970i | ||||
\(342\) | 0.920298 | − | 0.531334i | 0.0497640 | − | 0.0287313i | ||||
\(343\) | −7.53856 | + | 1.19399i | −0.407044 | + | 0.0644694i | ||||
\(344\) | 1.92841 | + | 1.25233i | 0.103973 | + | 0.0675208i | ||||
\(345\) | −0.373162 | − | 7.12036i | −0.0200904 | − | 0.383347i | ||||
\(346\) | −0.0226469 | + | 0.142987i | −0.00121750 | + | 0.00768702i | ||||
\(347\) | 1.08421 | − | 2.43517i | 0.0582032 | − | 0.130727i | −0.882103 | − | 0.471057i | \(-0.843872\pi\) |
0.940306 | + | 0.340331i | \(0.110539\pi\) | |||||||
\(348\) | −5.92766 | − | 1.25996i | −0.317756 | − | 0.0675411i | ||||
\(349\) | 1.16067 | − | 22.1470i | 0.0621294 | − | 1.18550i | −0.772620 | − | 0.634869i | \(-0.781054\pi\) |
0.834749 | − | 0.550630i | \(-0.185613\pi\) | |||||||
\(350\) | −1.77914 | + | 2.44877i | −0.0950988 | + | 0.130892i | ||||
\(351\) | 2.48164 | + | 2.61562i | 0.132460 | + | 0.139612i | ||||
\(352\) | −8.38200 | − | 1.57271i | −0.446762 | − | 0.0838258i | ||||
\(353\) | −25.8010 | + | 6.91337i | −1.37325 | + | 0.367962i | −0.868665 | − | 0.495400i | \(-0.835022\pi\) |
−0.504586 | + | 0.863361i | \(0.668355\pi\) | |||||||
\(354\) | −0.607631 | − | 1.36476i | −0.0322952 | − | 0.0725363i | ||||
\(355\) | 0.664367 | + | 3.12560i | 0.0352609 | + | 0.165890i | ||||
\(356\) | 6.91232 | − | 13.5662i | 0.366352 | − | 0.719007i | ||||
\(357\) | 3.23193 | + | 8.41946i | 0.171052 | + | 0.445605i | ||||
\(358\) | −0.332600 | − | 0.866452i | −0.0175784 | − | 0.0457934i | ||||
\(359\) | 7.07661 | − | 13.8886i | 0.373489 | − | 0.733014i | −0.625392 | − | 0.780311i | \(-0.715061\pi\) |
0.998881 | + | 0.0472972i | \(0.0150608\pi\) | |||||||
\(360\) | 0.183514 | + | 0.863363i | 0.00967201 | + | 0.0455032i | ||||
\(361\) | −1.63560 | − | 3.67363i | −0.0860845 | − | 0.193349i | ||||
\(362\) | −3.75056 | + | 1.00496i | −0.197125 | + | 0.0528195i | ||||
\(363\) | −8.51788 | − | 6.96030i | −0.447072 | − | 0.365321i | ||||
\(364\) | −12.6145 | + | 20.5803i | −0.661177 | + | 1.07870i | ||||
\(365\) | −3.67978 | + | 5.06479i | −0.192609 | + | 0.265103i | ||||
\(366\) | −0.115469 | + | 2.20328i | −0.00603566 | + | 0.115167i | ||||
\(367\) | −14.9146 | − | 3.17020i | −0.778536 | − | 0.165483i | −0.198529 | − | 0.980095i | \(-0.563617\pi\) |
−0.580006 | + | 0.814612i | \(0.696950\pi\) | |||||||
\(368\) | −10.6612 | + | 23.9454i | −0.555753 | + | 1.24824i | ||||
\(369\) | 0.370338 | − | 2.33822i | 0.0192790 | − | 0.121723i | ||||
\(370\) | −0.0915445 | − | 1.74677i | −0.00475917 | − | 0.0908104i | ||||
\(371\) | −35.3104 | − | 22.9308i | −1.83322 | − | 1.19051i | ||||
\(372\) | 0.302126 | − | 0.0478520i | 0.0156645 | − | 0.00248101i | ||||
\(373\) | −28.5761 | + | 16.4984i | −1.47961 | + | 0.854254i | −0.999734 | − | 0.0230806i | \(-0.992653\pi\) |
−0.479878 | + | 0.877335i | \(0.659319\pi\) | |||||||
\(374\) | 1.25700 | − | 1.46517i | 0.0649978 | − | 0.0757624i | ||||
\(375\) | 2.34505 | + | 8.75183i | 0.121098 | + | 0.451942i | ||||
\(376\) | −3.39648 | − | 2.46769i | −0.175160 | − | 0.127261i | ||||
\(377\) | 11.1650 | + | 0.879833i | 0.575029 | + | 0.0453137i | ||||
\(378\) | −0.234861 | − | 0.722827i | −0.0120799 | − | 0.0371782i | ||||
\(379\) | −12.1987 | + | 15.0642i | −0.626607 | + | 0.773795i | −0.987296 | − | 0.158891i | \(-0.949208\pi\) |
0.360690 | + | 0.932686i | \(0.382541\pi\) | |||||||
\(380\) | 9.39030 | − | 0.986961i | 0.481712 | − | 0.0506300i | ||||
\(381\) | −11.2579 | + | 12.5031i | −0.576759 | + | 0.640556i | ||||
\(382\) | 2.25100 | + | 4.41784i | 0.115171 | + | 0.226036i | ||||
\(383\) | −4.20589 | + | 3.40586i | −0.214911 | + | 0.174031i | −0.730731 | − | 0.682666i | \(-0.760821\pi\) |
0.515820 | + | 0.856697i | \(0.327487\pi\) | |||||||
\(384\) | 1.72351 | − | 6.43223i | 0.0879526 | − | 0.328243i | ||||
\(385\) | −11.4755 | − | 0.325917i | −0.584846 | − | 0.0166103i | ||||
\(386\) | 0.542809 | + | 0.940172i | 0.0276282 | + | 0.0478535i | ||||
\(387\) | −2.40051 | + | 1.06878i | −0.122025 | + | 0.0543290i | ||||
\(388\) | −18.1187 | − | 0.949561i | −0.919838 | − | 0.0482066i | ||||
\(389\) | −16.9194 | + | 5.49746i | −0.857849 | + | 0.278732i | −0.704730 | − | 0.709476i | \(-0.748932\pi\) |
−0.153119 | + | 0.988208i | \(0.548932\pi\) | |||||||
\(390\) | −0.268802 | − | 0.759314i | −0.0136113 | − | 0.0384494i | ||||
\(391\) | −10.9194 | − | 15.0293i | −0.552218 | − | 0.760062i | ||||
\(392\) | 3.50487 | − | 2.27609i | 0.177023 | − | 0.114960i | ||||
\(393\) | −1.02817 | + | 0.925770i | −0.0518644 | + | 0.0466989i | ||||
\(394\) | 3.39172 | + | 0.356484i | 0.170872 | + | 0.0179594i | ||||
\(395\) | −6.30611 | + | 6.30611i | −0.317295 | + | 0.317295i | ||||
\(396\) | 4.46442 | − | 4.68371i | 0.224345 | − | 0.235365i | ||||
\(397\) | 17.7765 | + | 4.76320i | 0.892177 | + | 0.239058i | 0.675654 | − | 0.737219i | \(-0.263861\pi\) |
0.216524 | + | 0.976277i | \(0.430528\pi\) | |||||||
\(398\) | −0.334243 | − | 2.11032i | −0.0167541 | − | 0.105781i | ||||
\(399\) | −16.1051 | + | 3.42325i | −0.806265 | + | 0.171377i | ||||
\(400\) | 3.07037 | − | 14.4450i | 0.153519 | − | 0.722248i | ||||
\(401\) | 19.5269 | + | 15.8126i | 0.975128 | + | 0.789643i | 0.977625 | − | 0.210354i | \(-0.0674617\pi\) |
−0.00249766 | + | 0.999997i | \(0.500795\pi\) | |||||||
\(402\) | 2.13779 | − | 1.55319i | 0.106623 | − | 0.0774662i | ||||
\(403\) | −0.542056 | + | 0.160505i | −0.0270017 | + | 0.00799533i | ||||
\(404\) | 21.4856 | + | 6.98109i | 1.06895 | + | 0.347322i | ||||
\(405\) | −0.941687 | − | 0.361480i | −0.0467928 | − | 0.0179621i | ||||
\(406\) | −2.04452 | − | 1.18041i | −0.101468 | − | 0.0585826i | ||||
\(407\) | −20.6368 | + | 15.7627i | −1.02293 | + | 0.781330i | ||||
\(408\) | 1.62613 | + | 1.62613i | 0.0805057 | + | 0.0805057i | ||||
\(409\) | −6.17505 | − | 7.62555i | −0.305337 | − | 0.377059i | 0.601263 | − | 0.799051i | \(-0.294664\pi\) |
−0.906600 | + | 0.421992i | \(0.861331\pi\) | |||||||
\(410\) | −0.288046 | + | 0.443552i | −0.0142256 | + | 0.0219055i | ||||
\(411\) | 7.88092 | + | 4.01553i | 0.388737 | + | 0.198071i | ||||
\(412\) | −16.0672 | − | 7.15358i | −0.791575 | − | 0.352432i | ||||
\(413\) | 2.41949 | + | 23.0199i | 0.119055 | + | 1.13273i | ||||
\(414\) | 0.852677 | + | 1.31301i | 0.0419068 | + | 0.0645308i | ||||
\(415\) | 3.23176 | − | 9.94635i | 0.158641 | − | 0.488247i | ||||
\(416\) | −1.21106 | + | 9.19177i | −0.0593769 | + | 0.450664i | ||||
\(417\) | 12.5916i | 0.616613i | ||||||||
\(418\) | 2.28302 | + | 2.68509i | 0.111666 | + | 0.131332i | ||||
\(419\) | −3.69672 | + | 6.40290i | −0.180596 | + | 0.312802i | −0.942084 | − | 0.335378i | \(-0.891136\pi\) |
0.761487 | + | 0.648180i | \(0.224469\pi\) | |||||||
\(420\) | 0.705879 | − | 6.71599i | 0.0344434 | − | 0.327707i | ||||
\(421\) | −25.5641 | + | 13.0256i | −1.24592 | + | 0.634828i | −0.947545 | − | 0.319621i | \(-0.896444\pi\) |
−0.298374 | + | 0.954449i | \(0.596444\pi\) | |||||||
\(422\) | −0.753032 | + | 0.0394647i | −0.0366570 | + | 0.00192111i | ||||
\(423\) | 4.47909 | − | 1.71936i | 0.217781 | − | 0.0835981i | ||||
\(424\) | −10.6040 | − | 1.67951i | −0.514976 | − | 0.0815642i | ||||
\(425\) | 7.77809 | + | 7.00342i | 0.377293 | + | 0.339716i | ||||
\(426\) | −0.469481 | − | 0.521411i | −0.0227464 | − | 0.0252625i | ||||
\(427\) | 12.2506 | − | 31.9139i | 0.592847 | − | 1.54442i | ||||
\(428\) | −22.9513 | −1.10939 | ||||||||
\(429\) | −7.05125 | + | 9.65815i | −0.340438 | + | 0.466300i | ||||
\(430\) | 0.587032 | 0.0283092 | ||||||||
\(431\) | −9.87708 | + | 25.7307i | −0.475762 | + | 1.23940i | 0.460361 | + | 0.887732i | \(0.347720\pi\) |
−0.936124 | + | 0.351671i | \(0.885614\pi\) | |||||||
\(432\) | 2.48120 | + | 2.75565i | 0.119377 | + | 0.132581i | ||||
\(433\) | 17.0532 | + | 15.3547i | 0.819523 | + | 0.737902i | 0.967983 | − | 0.251016i | \(-0.0807648\pi\) |
−0.148460 | + | 0.988918i | \(0.547431\pi\) | |||||||
\(434\) | 0.117698 | + | 0.0186416i | 0.00564970 | + | 0.000894825i | ||||
\(435\) | −2.92509 | + | 1.12284i | −0.140248 | + | 0.0538360i | ||||
\(436\) | 3.33335 | − | 0.174693i | 0.159638 | − | 0.00836630i | ||||
\(437\) | 30.2196 | − | 15.3976i | 1.44560 | − | 0.736569i | ||||
\(438\) | 0.143687 | − | 1.36709i | 0.00686561 | − | 0.0653219i | ||||
\(439\) | 20.0282 | − | 34.6898i | 0.955893 | − | 1.65566i | 0.223581 | − | 0.974685i | \(-0.428225\pi\) |
0.732312 | − | 0.680970i | \(-0.238442\pi\) | |||||||
\(440\) | −2.70706 | + | 1.11429i | −0.129054 | + | 0.0531215i | ||||
\(441\) | 4.77580i | 0.227419i | ||||||||
\(442\) | −1.66485 | − | 1.27775i | −0.0791889 | − | 0.0607764i | ||||
\(443\) | 0.983091 | − | 3.02564i | 0.0467080 | − | 0.143753i | −0.924983 | − | 0.380010i | \(-0.875921\pi\) |
0.971691 | + | 0.236257i | \(0.0759207\pi\) | |||||||
\(444\) | −8.31952 | − | 12.8109i | −0.394827 | − | 0.607980i | ||||
\(445\) | −0.822851 | − | 7.82890i | −0.0390069 | − | 0.371126i | ||||
\(446\) | 2.58873 | + | 1.15258i | 0.122580 | + | 0.0545761i | ||||
\(447\) | −13.1649 | − | 6.70785i | −0.622678 | − | 0.317270i | ||||
\(448\) | −12.7963 | + | 19.7045i | −0.604567 | + | 0.930952i | ||||
\(449\) | −21.4630 | − | 26.5046i | −1.01290 | − | 1.25083i | −0.967767 | − | 0.251847i | \(-0.918962\pi\) |
−0.0451333 | − | 0.998981i | \(-0.514371\pi\) | |||||||
\(450\) | −0.623706 | − | 0.623706i | −0.0294018 | − | 0.0294018i | ||||
\(451\) | 7.84941 | − | 0.188158i | 0.369614 | − | 0.00886002i | ||||
\(452\) | −30.0947 | − | 17.3752i | −1.41553 | − | 0.817259i | ||||
\(453\) | −11.4474 | − | 4.39425i | −0.537846 | − | 0.206460i | ||||
\(454\) | 4.34556 | + | 1.41196i | 0.203947 | + | 0.0662665i | ||||
\(455\) | 0.325444 | + | 12.4760i | 0.0152571 | + | 0.584882i | ||||
\(456\) | −3.39670 | + | 2.46784i | −0.159065 | + | 0.115567i | ||||
\(457\) | 30.1359 | + | 24.4035i | 1.40970 | + | 1.14155i | 0.969915 | + | 0.243445i | \(0.0782774\pi\) |
0.439781 | + | 0.898105i | \(0.355056\pi\) | |||||||
\(458\) | 0.169479 | − | 0.797334i | 0.00791921 | − | 0.0372570i | ||||
\(459\) | −2.57064 | + | 0.546407i | −0.119987 | + | 0.0255041i | ||||
\(460\) | 2.17608 | + | 13.7392i | 0.101460 | + | 0.640596i | ||||
\(461\) | 18.1973 | + | 4.87595i | 0.847532 | + | 0.227096i | 0.656348 | − | 0.754459i | \(-0.272100\pi\) |
0.191184 | + | 0.981554i | \(0.438767\pi\) | |||||||
\(462\) | 2.21791 | − | 1.19788i | 0.103186 | − | 0.0557303i | ||||
\(463\) | 23.1654 | − | 23.1654i | 1.07659 | − | 1.07659i | 0.0797736 | − | 0.996813i | \(-0.474580\pi\) |
0.996813 | − | 0.0797736i | \(-0.0254197\pi\) | |||||||
\(464\) | 11.4551 | + | 1.20398i | 0.531788 | + | 0.0558932i | ||||
\(465\) | 0.117531 | − | 0.105825i | 0.00545035 | − | 0.00490752i | ||||
\(466\) | −4.68370 | + | 3.04163i | −0.216968 | + | 0.140901i | ||||
\(467\) | −6.08591 | − | 8.37653i | −0.281622 | − | 0.387620i | 0.644648 | − | 0.764479i | \(-0.277004\pi\) |
−0.926270 | + | 0.376860i | \(0.877004\pi\) | |||||||
\(468\) | −5.34842 | − | 4.56891i | −0.247231 | − | 0.211198i | ||||
\(469\) | −38.9382 | + | 12.6518i | −1.79800 | + | 0.584205i | ||||
\(470\) | −1.07036 | − | 0.0560952i | −0.0493720 | − | 0.00258748i | ||||
\(471\) | −10.2741 | + | 4.57431i | −0.473404 | + | 0.210773i | ||||
\(472\) | 2.95119 | + | 5.11162i | 0.135840 | + | 0.235281i | ||||
\(473\) | −4.92035 | − | 7.19322i | −0.226238 | − | 0.330745i | ||||
\(474\) | 0.506817 | − | 1.89147i | 0.0232789 | − | 0.0868779i | ||||
\(475\) | −14.8501 | + | 12.0254i | −0.681369 | + | 0.551762i | ||||
\(476\) | −7.98776 | − | 15.6769i | −0.366118 | − | 0.718547i | ||||
\(477\) | 8.20969 | − | 9.11778i | 0.375896 | − | 0.417475i | ||||
\(478\) | 3.75134 | − | 0.394282i | 0.171582 | − | 0.0180340i | ||||
\(479\) | −7.91673 | + | 9.77635i | −0.361725 | + | 0.446693i | −0.925223 | − | 0.379425i | \(-0.876122\pi\) |
0.563498 | + | 0.826117i | \(0.309455\pi\) | |||||||
\(480\) | −0.801497 | − | 2.46675i | −0.0365832 | − | 0.112591i | ||||
\(481\) | 18.3320 | + | 21.4683i | 0.835866 | + | 0.978872i | ||||
\(482\) | −0.774430 | − | 0.562657i | −0.0352743 | − | 0.0256283i | ||||
\(483\) | −6.27818 | − | 23.4305i | −0.285667 | − | 1.06612i | ||||
\(484\) | 17.9463 | + | 11.7677i | 0.815741 | + | 0.534898i | ||||
\(485\) | −8.12387 | + | 4.69032i | −0.368886 | + | 0.212976i | ||||
\(486\) | 0.218752 | − | 0.0346470i | 0.00992281 | − | 0.00157162i | ||||
\(487\) | 14.3089 | + | 9.29229i | 0.648397 | + | 0.421074i | 0.826499 | − | 0.562938i | \(-0.190329\pi\) |
−0.178102 | + | 0.984012i | \(0.556996\pi\) | |||||||
\(488\) | −0.456212 | − | 8.70504i | −0.0206517 | − | 0.394059i | ||||
\(489\) | 1.88603 | − | 11.9079i | 0.0852890 | − | 0.538494i | ||||
\(490\) | 0.433958 | − | 0.974686i | 0.0196042 | − | 0.0440318i | ||||
\(491\) | 32.9943 | + | 7.01316i | 1.48901 | + | 0.316500i | 0.879356 | − | 0.476165i | \(-0.157974\pi\) |
0.609658 | + | 0.792665i | \(0.291307\pi\) | |||||||
\(492\) | −0.241719 | + | 4.61228i | −0.0108975 | + | 0.207938i | ||||
\(493\) | −4.79832 | + | 6.60432i | −0.216105 | + | 0.297444i | ||||
\(494\) | 2.77954 | − | 2.63716i | 0.125057 | − | 0.118651i | ||||
\(495\) | 0.616935 | − | 3.28805i | 0.0277292 | − | 0.147787i | ||||
\(496\) | −0.561586 | + | 0.150476i | −0.0252159 | + | 0.00675659i | ||||
\(497\) | 4.42163 | + | 9.93115i | 0.198337 | + | 0.445473i | ||||
\(498\) | 0.477435 | + | 2.24616i | 0.0213944 | + | 0.100653i | ||||
\(499\) | 13.7279 | − | 26.9426i | 0.614547 | − | 1.20612i | −0.348633 | − | 0.937259i | \(-0.613354\pi\) |
0.963180 | − | 0.268857i | \(-0.0866459\pi\) | |||||||
\(500\) | −6.33475 | − | 16.5026i | −0.283299 | − | 0.738018i | ||||
\(501\) | −6.97532 | − | 18.1713i | −0.311634 | − | 0.811835i | ||||
\(502\) | 1.13819 | − | 2.23381i | 0.0507997 | − | 0.0997000i | ||||
\(503\) | −1.64200 | − | 7.72499i | −0.0732131 | − | 0.344440i | 0.926260 | − | 0.376884i | \(-0.123004\pi\) |
−0.999474 | + | 0.0324435i | \(0.989671\pi\) | |||||||
\(504\) | 1.22136 | + | 2.74321i | 0.0544036 | + | 0.122192i | ||||
\(505\) | 11.2822 | − | 3.02306i | 0.502052 | − | 0.134524i | ||||
\(506\) | −3.77437 | + | 3.56590i | −0.167791 | + | 0.158523i | ||||
\(507\) | 10.9013 | + | 7.08249i | 0.484144 | + | 0.314544i | ||||
\(508\) | 19.2935 | − | 26.5552i | 0.856009 | − | 1.17819i | ||||
\(509\) | 2.31051 | − | 44.0872i | 0.102412 | − | 1.95413i | −0.155199 | − | 0.987883i | \(-0.549602\pi\) |
0.257611 | − | 0.966249i | \(-0.417065\pi\) | |||||||
\(510\) | 0.574288 | + | 0.122069i | 0.0254299 | + | 0.00540529i | ||||
\(511\) | −8.66278 | + | 19.4569i | −0.383219 | + | 0.860723i | ||||
\(512\) | −2.50677 | + | 15.8271i | −0.110785 | + | 0.699467i | ||||
\(513\) | −0.251111 | − | 4.79147i | −0.0110868 | − | 0.211549i | ||||
\(514\) | 0.896402 | + | 0.582130i | 0.0395386 | + | 0.0256767i | ||||
\(515\) | −8.98131 | + | 1.42250i | −0.395764 | + | 0.0626829i | ||||
\(516\) | 4.43966 | − | 2.56324i | 0.195445 | − | 0.112840i | ||||
\(517\) | 8.28412 | + | 13.5859i | 0.364335 | + | 0.597506i | ||||
\(518\) | −1.54017 | − | 5.74799i | −0.0676712 | − | 0.252552i | ||||
\(519\) | 0.528811 | + | 0.384204i | 0.0232122 | + | 0.0168647i | ||||
\(520\) | 1.36979 | + | 2.87257i | 0.0600693 | + | 0.125970i | ||||
\(521\) | 4.22230 | + | 12.9949i | 0.184982 | + | 0.569316i | 0.999948 | − | 0.0101924i | \(-0.00324440\pi\) |
−0.814966 | + | 0.579509i | \(0.803244\pi\) | |||||||
\(522\) | 0.432950 | − | 0.534649i | 0.0189497 | − | 0.0234009i | ||||
\(523\) | −9.88641 | + | 1.03910i | −0.432302 | + | 0.0454368i | −0.318181 | − | 0.948030i | \(-0.603072\pi\) |
−0.114121 | + | 0.993467i | \(0.536405\pi\) | |||||||
\(524\) | 1.80613 | − | 2.00591i | 0.0789011 | − | 0.0876285i | ||||
\(525\) | 6.20446 | + | 12.1769i | 0.270785 | + | 0.531445i | ||||
\(526\) | 2.04820 | − | 1.65860i | 0.0893057 | − | 0.0723183i | ||||
\(527\) | 0.106649 | − | 0.398019i | 0.00464569 | − | 0.0173380i | ||||
\(528\) | −7.50833 | + | 9.74033i | −0.326758 | + | 0.423893i | ||||
\(529\) | 13.4836 | + | 23.3543i | 0.586244 | + | 1.01540i | ||||
\(530\) | −2.50400 | + | 1.11485i | −0.108767 | + | 0.0484261i | ||||
\(531\) | −6.73594 | − | 0.353016i | −0.292315 | − | 0.0153196i | ||||
\(532\) | 30.5500 | − | 9.92631i | 1.32451 | − | 0.430360i | ||||
\(533\) | −0.668848 | − | 8.50942i | −0.0289710 | − | 0.368584i | ||||
\(534\) | 1.01598 | + | 1.39837i | 0.0439656 | + | 0.0605134i | ||||
\(535\) | −9.95196 | + | 6.46288i | −0.430261 | + | 0.279415i | ||||
\(536\) | −7.75857 | + | 6.98585i | −0.335119 | + | 0.301743i | ||||
\(537\) | −4.16749 | − | 0.438020i | −0.179840 | − | 0.0189020i | ||||
\(538\) | 3.81393 | − | 3.81393i | 0.164430 | − | 0.164430i | ||||
\(539\) | −15.5807 | + | 2.85205i | −0.671107 | + | 0.122846i | ||||
\(540\) | 1.90083 | + | 0.509327i | 0.0817989 | + | 0.0219179i | ||||
\(541\) | 2.86301 | + | 18.0763i | 0.123091 | + | 0.777163i | 0.969583 | + | 0.244762i | \(0.0787100\pi\) |
−0.846493 | + | 0.532401i | \(0.821290\pi\) | |||||||
\(542\) | 3.97910 | − | 0.845783i | 0.170917 | − | 0.0363295i | ||||
\(543\) | −3.64501 | + | 17.1484i | −0.156422 | + | 0.735909i | ||||
\(544\) | −5.25176 | − | 4.25279i | −0.225167 | − | 0.182337i | ||||
\(545\) | 1.39619 | − | 1.01439i | 0.0598061 | − | 0.0434517i | ||||
\(546\) | −1.43158 | − | 2.33664i | −0.0612658 | − | 0.0999991i | ||||
\(547\) | −13.0533 | − | 4.24126i | −0.558117 | − | 0.181343i | 0.0163569 | − | 0.999866i | \(-0.494793\pi\) |
−0.574474 | + | 0.818523i | \(0.694793\pi\) | |||||||
\(548\) | −16.1099 | − | 6.18401i | −0.688181 | − | 0.264168i | ||||
\(549\) | 8.62706 | + | 4.98084i | 0.368194 | + | 0.212577i | ||||
\(550\) | 1.66232 | − | 2.40726i | 0.0708816 | − | 0.102646i | ||||
\(551\) | −10.5386 | − | 10.5386i | −0.448959 | − | 0.448959i | ||||
\(552\) | −3.89268 | − | 4.80706i | −0.165683 | − | 0.204602i | ||||
\(553\) | −16.5244 | + | 25.4453i | −0.702689 | + | 1.08205i | ||||
\(554\) | −3.15414 | − | 1.60711i | −0.134007 | − | 0.0682797i | ||||
\(555\) | −7.21488 | − | 3.21227i | −0.306255 | − | 0.136353i | ||||
\(556\) | −2.56780 | − | 24.4310i | −0.108899 | − | 1.03610i | ||||
\(557\) | −15.0553 | − | 23.1831i | −0.637914 | − | 0.982301i | −0.998765 | − | 0.0496780i | \(-0.984180\pi\) |
0.360851 | − | 0.932623i | \(-0.382486\pi\) | |||||||
\(558\) | −0.0107309 | + | 0.0330264i | −0.000454277 | + | 0.00139812i | ||||
\(559\) | −7.51702 | + | 5.76682i | −0.317936 | + | 0.243910i | ||||
\(560\) | 12.8351i | 0.542383i | ||||||||
\(561\) | −3.31776 | − | 8.06020i | −0.140076 | − | 0.340302i | ||||
\(562\) | 0.611453 | − | 1.05907i | 0.0257926 | − | 0.0446741i | ||||
\(563\) | 4.27670 | − | 40.6901i | 0.180241 | − | 1.71488i | −0.413733 | − | 0.910398i | \(-0.635775\pi\) |
0.593975 | − | 0.804484i | \(-0.297558\pi\) | |||||||
\(564\) | −8.33996 | + | 4.24942i | −0.351176 | + | 0.178933i | ||||
\(565\) | −17.9421 | + | 0.940305i | −0.754829 | + | 0.0395589i | ||||
\(566\) | −2.29146 | + | 0.879611i | −0.0963175 | + | 0.0369728i | ||||
\(567\) | −3.38934 | − | 0.536819i | −0.142339 | − | 0.0225443i | ||||
\(568\) | 2.06007 | + | 1.85489i | 0.0864386 | + | 0.0778296i | ||||
\(569\) | 8.02950 | + | 8.91766i | 0.336614 | + | 0.373848i | 0.887559 | − | 0.460694i | \(-0.152399\pi\) |
−0.550945 | + | 0.834541i | \(0.685733\pi\) | |||||||
\(570\) | −0.384133 | + | 1.00070i | −0.0160896 | + | 0.0419148i | ||||
\(571\) | 23.3732 | 0.978138 | 0.489069 | − | 0.872245i | \(-0.337337\pi\) | ||||
0.489069 | + | 0.872245i | \(0.337337\pi\) | |||||||
\(572\) | 11.7117 | − | 20.1773i | 0.489690 | − | 0.843654i | ||||
\(573\) | 22.3870 | 0.935231 | ||||||||
\(574\) | −0.644797 | + | 1.67975i | −0.0269133 | + | 0.0701116i | ||||
\(575\) | −18.8372 | − | 20.9208i | −0.785564 | − | 0.872457i | ||||
\(576\) | −5.08807 | − | 4.58132i | −0.212003 | − | 0.190888i | ||||
\(577\) | 27.2280 | + | 4.31250i | 1.13352 | + | 0.179532i | 0.694875 | − | 0.719130i | \(-0.255459\pi\) |
0.438642 | + | 0.898662i | \(0.355459\pi\) | |||||||
\(578\) | −2.08697 | + | 0.801111i | −0.0868063 | + | 0.0333218i | ||||
\(579\) | 4.89495 | − | 0.256533i | 0.203427 | − | 0.0106612i | ||||
\(580\) | 5.44646 | − | 2.77511i | 0.226152 | − | 0.115230i | ||||
\(581\) | 3.71905 | − | 35.3844i | 0.154292 | − | 1.46799i | ||||
\(582\) | 1.02986 | − | 1.78378i | 0.0426893 | − | 0.0739400i | ||||
\(583\) | 34.6487 | + | 21.3384i | 1.43500 | + | 0.883747i | ||||
\(584\) | 5.43104i | 0.224738i | ||||||||
\(585\) | −3.60570 | − | 0.475067i | −0.149077 | − | 0.0196416i | ||||
\(586\) | 2.06539 | − | 6.35661i | 0.0853203 | − | 0.262589i | ||||
\(587\) | 22.9034 | + | 35.2681i | 0.945324 | + | 1.45567i | 0.889343 | + | 0.457240i | \(0.151162\pi\) |
0.0559811 | + | 0.998432i | \(0.482171\pi\) | |||||||
\(588\) | −0.973927 | − | 9.26630i | −0.0401641 | − | 0.382136i | ||||
\(589\) | 0.687254 | + | 0.305985i | 0.0283178 | + | 0.0126079i | ||||
\(590\) | 1.34265 | + | 0.684114i | 0.0552760 | + | 0.0281645i | ||||
\(591\) | 8.38652 | − | 12.9141i | 0.344975 | − | 0.531215i | ||||
\(592\) | 18.2711 | + | 22.5630i | 0.750939 | + | 0.927333i | ||||
\(593\) | 25.1232 | + | 25.1232i | 1.03169 | + | 1.03169i | 0.999481 | + | 0.0322055i | \(0.0102531\pi\) |
0.0322055 | + | 0.999481i | \(0.489747\pi\) | |||||||
\(594\) | 0.243669 | + | 0.692971i | 0.00999786 | + | 0.0284330i | ||||
\(595\) | −7.87804 | − | 4.54839i | −0.322968 | − | 0.186466i | ||||
\(596\) | 26.9112 | + | 10.3303i | 1.10233 | + | 0.423144i | ||||
\(597\) | −9.17493 | − | 2.98111i | −0.375505 | − | 0.122009i | ||||
\(598\) | 4.09419 | + | 3.88602i | 0.167424 | + | 0.158911i | ||||
\(599\) | 8.86215 | − | 6.43873i | 0.362097 | − | 0.263079i | −0.391829 | − | 0.920038i | \(-0.628157\pi\) |
0.753926 | + | 0.656959i | \(0.228157\pi\) | |||||||
\(600\) | 2.70831 | + | 2.19315i | 0.110566 | + | 0.0895349i | ||||
\(601\) | −1.73247 | + | 8.15065i | −0.0706691 | + | 0.332472i | −0.999253 | − | 0.0386512i | \(-0.987694\pi\) |
0.928584 | + | 0.371123i | \(0.121027\pi\) | |||||||
\(602\) | 1.95347 | − | 0.415223i | 0.0796175 | − | 0.0169232i | ||||
\(603\) | −1.86641 | − | 11.7840i | −0.0760060 | − | 0.479883i | ||||
\(604\) | 23.1071 | + | 6.19152i | 0.940213 | + | 0.251929i | ||||
\(605\) | 11.0954 | + | 0.0491209i | 0.451093 | + | 0.00199705i | ||||
\(606\) | −1.81348 | + | 1.81348i | −0.0736678 | + | 0.0736678i | ||||
\(607\) | 27.2762 | + | 2.86684i | 1.10711 | + | 0.116362i | 0.640393 | − | 0.768047i | \(-0.278771\pi\) |
0.466713 | + | 0.884409i | \(0.345438\pi\) | |||||||
\(608\) | 9.16860 | − | 8.25544i | 0.371836 | − | 0.334802i | ||||
\(609\) | −8.93964 | + | 5.80547i | −0.362252 | + | 0.235249i | ||||
\(610\) | −1.30809 | − | 1.80044i | −0.0529632 | − | 0.0728976i | ||||
\(611\) | 14.2572 | − | 9.79657i | 0.576783 | − | 0.396327i | ||||
\(612\) | 4.87629 | − | 1.58440i | 0.197112 | − | 0.0640456i | ||||
\(613\) | 12.8197 | + | 0.671854i | 0.517785 | + | 0.0271359i | 0.309439 | − | 0.950919i | \(-0.399859\pi\) |
0.208346 | + | 0.978055i | \(0.433192\pi\) | |||||||
\(614\) | 0.393184 | − | 0.175057i | 0.0158676 | − | 0.00706471i | ||||
\(615\) | 1.19396 | + | 2.06800i | 0.0481452 | + | 0.0833899i | ||||
\(616\) | −8.22013 | + | 5.62279i | −0.331199 | + | 0.226549i | ||||
\(617\) | 3.15552 | − | 11.7766i | 0.127036 | − | 0.474106i | −0.872868 | − | 0.487957i | \(-0.837742\pi\) |
0.999904 | + | 0.0138507i | \(0.00440895\pi\) | |||||||
\(618\) | 1.55167 | − | 1.25652i | 0.0624175 | − | 0.0505447i | ||||
\(619\) | −11.1691 | − | 21.9206i | −0.448924 | − | 0.881064i | −0.998945 | − | 0.0459131i | \(-0.985380\pi\) |
0.550021 | − | 0.835151i | \(-0.314620\pi\) | |||||||
\(620\) | −0.206459 | + | 0.229296i | −0.00829159 | + | 0.00920874i | ||||
\(621\) | 7.03003 | − | 0.738885i | 0.282105 | − | 0.0296505i | ||||
\(622\) | 4.21831 | − | 5.20918i | 0.169139 | − | 0.208869i | ||||
\(623\) | −8.27579 | − | 25.4703i | −0.331562 | − | 1.02044i | ||||
\(624\) | 11.0176 | + | 7.57379i | 0.441055 | + | 0.303194i | ||||
\(625\) | 8.71598 | + | 6.33253i | 0.348639 | + | 0.253301i | ||||
\(626\) | −0.442773 | − | 1.65245i | −0.0176968 | − | 0.0660453i | ||||
\(627\) | 15.4818 | − | 3.68063i | 0.618285 | − | 0.146990i | ||||
\(628\) | 19.0015 | − | 10.9705i | 0.758243 | − | 0.437772i | ||||
\(629\) | −20.3236 | + | 3.21895i | −0.810356 | + | 0.128348i | ||||
\(630\) | 0.642946 | + | 0.417534i | 0.0256156 | + | 0.0166350i | ||||
\(631\) | 1.58786 | + | 30.2982i | 0.0632117 | + | 1.20615i | 0.827571 | + | 0.561361i | \(0.189722\pi\) |
−0.764359 | + | 0.644791i | \(0.776945\pi\) | |||||||
\(632\) | −1.21029 | + | 7.64145i | −0.0481426 | + | 0.303961i | ||||
\(633\) | −1.38481 | + | 3.11033i | −0.0550412 | + | 0.123624i | ||||
\(634\) | −3.04718 | − | 0.647697i | −0.121019 | − | 0.0257233i | ||||
\(635\) | 0.888180 | − | 16.9475i | 0.0352463 | − | 0.672540i | ||||
\(636\) | −14.0695 | + | 19.3651i | −0.557894 | + | 0.767875i | ||||
\(637\) | 4.01811 | + | 16.7440i | 0.159203 | + | 0.663423i | ||||
\(638\) | 2.00280 | + | 1.09318i | 0.0792916 | + | 0.0432794i | ||||
\(639\) | −3.05997 | + | 0.819918i | −0.121051 | + | 0.0324354i | ||||
\(640\) | 2.73203 | + | 6.13625i | 0.107993 | + | 0.242557i | ||||
\(641\) | −3.14839 | − | 14.8120i | −0.124354 | − | 0.585039i | −0.995561 | − | 0.0941226i | \(-0.969995\pi\) |
0.871207 | − | 0.490916i | \(-0.163338\pi\) | |||||||
\(642\) | 1.18288 | − | 2.32154i | 0.0466847 | − | 0.0916239i | ||||
\(643\) | 3.80221 | + | 9.90510i | 0.149945 | + | 0.390619i | 0.987894 | − | 0.155128i | \(-0.0495791\pi\) |
−0.837950 | + | 0.545747i | \(0.816246\pi\) | |||||||
\(644\) | 16.9595 | + | 44.1809i | 0.668297 | + | 1.74097i | ||||
\(645\) | 1.20331 | − | 2.36162i | 0.0473801 | − | 0.0929887i | ||||
\(646\) | 0.580650 | + | 2.73174i | 0.0228453 | + | 0.107479i | ||||
\(647\) | 19.4045 | + | 43.5833i | 0.762871 | + | 1.71344i | 0.698608 | + | 0.715504i | \(0.253803\pi\) |
0.0642631 | + | 0.997933i | \(0.479530\pi\) | |||||||
\(648\) | −0.845236 | + | 0.226480i | −0.0332040 | + | 0.00889699i | ||||
\(649\) | −2.87093 | − | 22.1863i | −0.112694 | − | 0.870887i | ||||
\(650\) | −2.71148 | − | 1.66197i | −0.106353 | − | 0.0651878i | ||||
\(651\) | 0.316254 | − | 0.435287i | 0.0123950 | − | 0.0170602i | ||||
\(652\) | −1.23101 | + | 23.4890i | −0.0482100 | + | 0.919901i | ||||
\(653\) | −29.9315 | − | 6.36214i | −1.17131 | − | 0.248970i | −0.419130 | − | 0.907926i | \(-0.637665\pi\) |
−0.752181 | + | 0.658956i | \(0.770998\pi\) | |||||||
\(654\) | −0.154126 | + | 0.346174i | −0.00602682 | + | 0.0135365i | ||||
\(655\) | 0.218313 | − | 1.37837i | 0.00853019 | − | 0.0538575i | ||||
\(656\) | −0.459426 | − | 8.76637i | −0.0179376 | − | 0.342269i | ||||
\(657\) | −5.20523 | − | 3.38032i | −0.203075 | − | 0.131879i | ||||
\(658\) | −3.60152 | + | 0.570425i | −0.140402 | + | 0.0222375i | ||||
\(659\) | −29.1652 | + | 16.8385i | −1.13611 | + | 0.655936i | −0.945465 | − | 0.325722i | \(-0.894393\pi\) |
−0.190649 | + | 0.981658i | \(0.561059\pi\) | |||||||
\(660\) | −0.526484 | + | 6.50548i | −0.0204934 | + | 0.253225i | ||||
\(661\) | 9.16858 | + | 34.2176i | 0.356616 | + | 1.33091i | 0.878438 | + | 0.477856i | \(0.158586\pi\) |
−0.521822 | + | 0.853054i | \(0.674747\pi\) | |||||||
\(662\) | −0.761426 | − | 0.553208i | −0.0295937 | − | 0.0215010i | ||||
\(663\) | −8.55299 | + | 4.07852i | −0.332171 | + | 0.158396i | ||||
\(664\) | −2.80362 | − | 8.62865i | −0.108802 | − | 0.334857i | ||||
\(665\) | 10.4517 | − | 12.9068i | 0.405299 | − | 0.500503i | ||||
\(666\) | 1.72461 | − | 0.181264i | 0.0668274 | − | 0.00702384i | ||||
\(667\) | 14.6922 | − | 16.3173i | 0.568884 | − | 0.631810i | ||||
\(668\) | 17.2396 | + | 33.8346i | 0.667020 | + | 1.30910i | ||||
\(669\) | 9.94320 | − | 8.05184i | 0.384426 | − | 0.311302i | ||||
\(670\) | −0.689855 | + | 2.57458i | −0.0266514 | + | 0.0994645i | ||||
\(671\) | −11.0976 | + | 31.1196i | −0.428418 | + | 1.20136i | ||||
\(672\) | −4.41194 | − | 7.64171i | −0.170194 | − | 0.294785i | ||||
\(673\) | −34.1528 | + | 15.2058i | −1.31649 | + | 0.586141i | −0.940283 | − | 0.340393i | \(-0.889440\pi\) |
−0.376211 | + | 0.926534i | \(0.622773\pi\) | |||||||
\(674\) | −2.47465 | − | 0.129691i | −0.0953199 | − | 0.00499551i | ||||
\(675\) | −3.78764 | + | 1.23068i | −0.145786 | + | 0.0473688i | ||||
\(676\) | −22.5957 | − | 11.5188i | −0.869064 | − | 0.443030i | ||||
\(677\) | 0.697073 | + | 0.959438i | 0.0267907 | + | 0.0368742i | 0.822202 | − | 0.569195i | \(-0.192745\pi\) |
−0.795412 | + | 0.606070i | \(0.792745\pi\) | |||||||
\(678\) | 3.30855 | − | 2.14860i | 0.127064 | − | 0.0825165i | ||||
\(679\) | −23.7162 | + | 21.3542i | −0.910146 | + | 0.819499i | ||||
\(680\) | −2.30696 | − | 0.242472i | −0.0884680 | − | 0.00929837i | ||||
\(681\) | 14.5879 | − | 14.5879i | 0.559008 | − | 0.559008i | ||||
\(682\) | −0.114154 | − | 0.0152859i | −0.00437120 | − | 0.000585325i | ||||
\(683\) | −1.99282 | − | 0.533975i | −0.0762533 | − | 0.0204320i | 0.220491 | − | 0.975389i | \(-0.429234\pi\) |
−0.296744 | + | 0.954957i | \(0.595901\pi\) | |||||||
\(684\) | 1.46434 | + | 9.24550i | 0.0559905 | + | 0.353510i | ||||
\(685\) | −8.72680 | + | 1.85494i | −0.333434 | + | 0.0708736i | ||||
\(686\) | −0.351463 | + | 1.65351i | −0.0134189 | + | 0.0631311i | ||||
\(687\) | −2.86026 | − | 2.31619i | −0.109126 | − | 0.0883683i | ||||
\(688\) | −7.88282 | + | 5.72721i | −0.300530 | + | 0.218348i | ||||
\(689\) | 21.1121 | − | 38.8743i | 0.804305 | − | 1.48099i | ||||
\(690\) | −1.50189 | − | 0.487992i | −0.0571758 | − | 0.0185775i | ||||
\(691\) | 6.13394 | + | 2.35460i | 0.233346 | + | 0.0895731i | 0.472231 | − | 0.881475i | \(-0.343449\pi\) |
−0.238885 | + | 0.971048i | \(0.576782\pi\) | |||||||
\(692\) | −1.10438 | − | 0.637615i | −0.0419823 | − | 0.0242385i | ||||
\(693\) | −0.272742 | − | 11.3780i | −0.0103606 | − | 0.432215i | ||||
\(694\) | −0.417461 | − | 0.417461i | −0.0158466 | − | 0.0158466i | ||||
\(695\) | −7.99296 | − | 9.87048i | −0.303190 | − | 0.374409i | ||||
\(696\) | −1.48039 | + | 2.27960i | −0.0561140 | + | 0.0864080i | ||||
\(697\) | 5.54350 | + | 2.82455i | 0.209975 | + | 0.106988i | ||||
\(698\) | −4.48717 | − | 1.99782i | −0.169842 | − | 0.0756185i | ||||
\(699\) | 2.63572 | + | 25.0772i | 0.0996922 | + | 0.948508i | ||||
\(700\) | −14.5215 | − | 22.3612i | −0.548861 | − | 0.845172i | ||||
\(701\) | −5.09304 | + | 15.6748i | −0.192362 | + | 0.592028i | 0.807636 | + | 0.589682i | \(0.200747\pi\) |
−0.999997 | + | 0.00234637i | \(0.999253\pi\) | |||||||
\(702\) | 0.737799 | − | 0.305520i | 0.0278464 | − | 0.0115311i | ||||
\(703\) | − | 37.5672i | − | 1.41687i | ||||||
\(704\) | 11.9076 | − | 19.3353i | 0.448786 | − | 0.728727i | ||||
\(705\) | −2.41971 | + | 4.19105i | −0.0911314 | + | 0.157844i | ||||
\(706\) | −0.618388 | + | 5.88357i | −0.0232733 | + | 0.221431i | ||||
\(707\) | 35.4056 | − | 18.0401i | 1.33156 | − | 0.678466i | ||||
\(708\) | 13.1415 | − | 0.688715i | 0.493886 | − | 0.0258835i | ||||
\(709\) | −12.0447 | + | 4.62351i | −0.452347 | + | 0.173640i | −0.573866 | − | 0.818949i | \(-0.694557\pi\) |
0.121519 | + | 0.992589i | \(0.461224\pi\) | |||||||
\(710\) | 0.699008 | + | 0.110712i | 0.0262333 | + | 0.00415495i | ||||
\(711\) | −6.57045 | − | 5.91606i | −0.246411 | − | 0.221870i | ||||
\(712\) | −4.56959 | − | 5.07504i | −0.171252 | − | 0.190195i | ||||
\(713\) | −0.397186 | + | 1.03470i | −0.0148747 | + | 0.0387500i | ||||
\(714\) | 1.99740 | 0.0747509 | ||||||||
\(715\) | −0.603410 | − | 12.0470i | −0.0225663 | − | 0.450532i | ||||
\(716\) | 8.17533 | 0.305526 | ||||||||
\(717\) | 6.10335 | − | 15.8998i | 0.227934 | − | 0.593788i | ||||
\(718\) | −2.31006 | − | 2.56558i | −0.0862105 | − | 0.0957465i | ||||
\(719\) | 27.1116 | + | 24.4114i | 1.01109 | + | 0.910390i | 0.995987 | − | 0.0894962i | \(-0.0285257\pi\) |
0.0151031 | + | 0.999886i | \(0.495192\pi\) | |||||||
\(720\) | −3.69424 | − | 0.585110i | −0.137676 | − | 0.0218058i | ||||
\(721\) | −28.8810 | + | 11.0864i | −1.07558 | + | 0.412878i | ||||
\(722\) | −0.889411 | + | 0.0466121i | −0.0331005 | + | 0.00173472i | ||||
\(723\) | −3.85099 | + | 1.96218i | −0.143220 | + | 0.0729742i | ||||
\(724\) | 3.57519 | − | 34.0157i | 0.132871 | − | 1.26418i | ||||
\(725\) | −6.18536 | + | 10.7134i | −0.229719 | + | 0.397884i | ||||
\(726\) | −2.11525 | + | 1.20878i | −0.0785041 | + | 0.0448622i | ||||
\(727\) | 32.6209i | 1.20984i | 0.796286 | + | 0.604921i | \(0.206795\pi\) | ||||
−0.796286 | + | 0.604921i | \(0.793205\pi\) | |||||||
\(728\) | 6.59009 | + | 8.59016i | 0.244245 | + | 0.318372i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0.755171 | + | 1.16286i | 0.0279501 | + | 0.0430394i | ||||
\(731\) | −0.721848 | − | 6.86793i | −0.0266985 | − | 0.254020i | ||||
\(732\) | −17.7545 | − | 7.90480i | −0.656224 | − | 0.292170i | ||||
\(733\) | −27.2650 | − | 13.8922i | −1.00706 | − | 0.513120i | −0.128982 | − | 0.991647i | \(-0.541171\pi\) |
−0.878073 | + | 0.478526i | \(0.841171\pi\) | |||||||
\(734\) | −1.83928 | + | 2.83225i | −0.0678892 | + | 0.104540i | ||||
\(735\) | −3.03161 | − | 3.74373i | −0.111823 | − | 0.138089i | ||||
\(736\) | 12.8526 | + | 12.8526i | 0.473754 | + | 0.473754i | ||||
\(737\) | 37.3298 | − | 13.1263i | 1.37506 | − | 0.483512i | ||||
\(738\) | −0.454077 | − | 0.262161i | −0.0167148 | − | 0.00965029i | ||||
\(739\) | 4.99640 | + | 1.91794i | 0.183795 | + | 0.0705525i | 0.448525 | − | 0.893770i | \(-0.351949\pi\) |
−0.264730 | + | 0.964323i | \(0.585283\pi\) | |||||||
\(740\) | 14.6538 | + | 4.76131i | 0.538685 | + | 0.175029i | ||||
\(741\) | −4.91170 | − | 16.5877i | −0.180436 | − | 0.609365i | ||||
\(742\) | −7.54400 | + | 5.48104i | −0.276949 | + | 0.201215i | ||||
\(743\) | −28.6786 | − | 23.2235i | −1.05212 | − | 0.851986i | −0.0628363 | − | 0.998024i | \(-0.520015\pi\) |
−0.989279 | + | 0.146038i | \(0.953348\pi\) | |||||||
\(744\) | 0.0285256 | − | 0.134203i | 0.00104580 | − | 0.00492011i | ||||
\(745\) | 14.5779 | − | 3.09863i | 0.534094 | − | 0.113525i | ||||
\(746\) | 1.14324 | + | 7.21813i | 0.0418570 | + | 0.264274i | ||||
\(747\) | 10.0149 | + | 2.68348i | 0.366426 | + | 0.0981835i | ||||
\(748\) | 8.08103 | + | 14.9623i | 0.295472 | + | 0.547076i | ||||
\(749\) | −28.5458 | + | 28.5458i | −1.04304 | + | 1.04304i | ||||
\(750\) | 1.99573 | + | 0.209760i | 0.0728739 | + | 0.00765935i | ||||
\(751\) | 27.5208 | − | 24.7798i | 1.00425 | − | 0.904229i | 0.00884048 | − | 0.999961i | \(-0.497186\pi\) |
0.995407 | + | 0.0957323i | \(0.0305193\pi\) | |||||||
\(752\) | 14.9204 | − | 9.68939i | 0.544089 | − | 0.353336i | ||||
\(753\) | −6.65353 | − | 9.15779i | −0.242468 | − | 0.333728i | ||||
\(754\) | 1.06810 | − | 2.23875i | 0.0388980 | − | 0.0815304i | ||||
\(755\) | 11.7630 | − | 3.82202i | 0.428098 | − | 0.139097i | ||||
\(756\) | 6.68567 | + | 0.350381i | 0.243156 | + | 0.0127432i | ||||
\(757\) | −35.2328 | + | 15.6867i | −1.28056 | + | 0.570141i | −0.930399 | − | 0.366549i | \(-0.880539\pi\) |
−0.350159 | + | 0.936690i | \(0.613873\pi\) | |||||||
\(758\) | 2.14657 | + | 3.71797i | 0.0779671 | + | 0.135043i | ||||
\(759\) | 6.60879 | + | 22.4936i | 0.239884 | + | 0.816467i | ||||
\(760\) | 1.09610 | − | 4.09070i | 0.0397597 | − | 0.148385i | ||||
\(761\) | 6.30673 | − | 5.10709i | 0.228619 | − | 0.185132i | −0.508166 | − | 0.861259i | \(-0.669676\pi\) |
0.736785 | + | 0.676127i | \(0.236343\pi\) | |||||||
\(762\) | 1.69171 | + | 3.32017i | 0.0612842 | + | 0.120277i | ||||
\(763\) | 3.92859 | − | 4.36315i | 0.142225 | − | 0.157956i | ||||
\(764\) | −43.4366 | + | 4.56537i | −1.57148 | + | 0.165169i | ||||
\(765\) | 1.66826 | − | 2.06013i | 0.0603161 | − | 0.0744842i | ||||
\(766\) | 0.370400 | + | 1.13997i | 0.0133831 | + | 0.0411889i | ||||
\(767\) | −23.9133 | + | 4.42959i | −0.863459 | + | 0.159943i | ||||
\(768\) | 9.88496 | + | 7.18184i | 0.356693 | + | 0.259152i | ||||
\(769\) | −13.8096 | − | 51.5382i | −0.497987 | − | 1.85851i | −0.512612 | − | 0.858621i | \(-0.671322\pi\) |
0.0146246 | − | 0.999893i | \(-0.495345\pi\) | |||||||
\(770\) | −0.978212 | + | 2.34691i | −0.0352523 | + | 0.0845766i | ||||
\(771\) | 4.17935 | − | 2.41295i | 0.150516 | − | 0.0869003i | ||||
\(772\) | −9.44515 | + | 1.49597i | −0.339939 | + | 0.0538410i | ||||
\(773\) | 28.5450 | + | 18.5374i | 1.02669 | + | 0.666742i | 0.944038 | − | 0.329836i | \(-0.106993\pi\) |
0.0826550 | + | 0.996578i | \(0.473660\pi\) | |||||||
\(774\) | 0.0304584 | + | 0.581181i | 0.00109481 | + | 0.0208901i | ||||
\(775\) | 0.0976825 | − | 0.616743i | 0.00350886 | − | 0.0221541i | ||||
\(776\) | −3.30997 | + | 7.43433i | −0.118821 | + | 0.266877i | ||||
\(777\) | −26.2811 | − | 5.58622i | −0.942829 | − | 0.200405i | ||||
\(778\) | −0.206211 | + | 3.93475i | −0.00739304 | + | 0.141068i | ||||
\(779\) | −6.67650 | + | 9.18942i | −0.239211 | + | 0.329245i | ||||
\(780\) | 7.09287 | + | 0.186444i | 0.253966 | + | 0.00667578i | ||||
\(781\) | −4.50229 | − | 9.49327i | −0.161105 | − | 0.339696i | ||||
\(782\) | −3.97426 | + | 1.06490i | −0.142119 | + | 0.0380808i | ||||
\(783\) | −1.26342 | − | 2.83768i | −0.0451508 | − | 0.101410i | ||||
\(784\) | 3.68193 | + | 17.3221i | 0.131497 | + | 0.618647i | ||||
\(785\) | 5.15008 | − | 10.1076i | 0.183814 | − | 0.360755i | ||||
\(786\) | 0.109813 | + | 0.286073i | 0.00391691 | + | 0.0102039i | ||||
\(787\) | 9.99129 | + | 26.0282i | 0.356151 | + | 0.927805i | 0.988240 | + | 0.152909i | \(0.0488642\pi\) |
−0.632089 | + | 0.774896i | \(0.717802\pi\) | |||||||
\(788\) | −13.6385 | + | 26.7670i | −0.485850 | + | 0.953534i | ||||
\(789\) | −2.47409 | − | 11.6397i | −0.0880799 | − | 0.414383i | ||||
\(790\) | 0.803384 | + | 1.80443i | 0.0285831 | + | 0.0641987i | ||||
\(791\) | −59.0409 | + | 15.8200i | −2.09925 | + | 0.562493i | ||||
\(792\) | −1.24364 | − | 2.62226i | −0.0441907 | − | 0.0931780i | ||||
\(793\) | 34.4372 | + | 10.2045i | 1.22290 | + | 0.362373i | ||||
\(794\) | 2.39582 | − | 3.29756i | 0.0850245 | − | 0.117026i | ||||
\(795\) | −0.647696 | + | 12.3588i | −0.0229714 | + | 0.438320i | ||||
\(796\) | 18.4097 | + | 3.91310i | 0.652514 | + | 0.138696i | ||||
\(797\) | 13.3471 | − | 29.9781i | 0.472779 | − | 1.06188i | −0.507027 | − | 0.861930i | \(-0.669255\pi\) |
0.979806 | − | 0.199950i | \(-0.0640778\pi\) | |||||||
\(798\) | −0.570460 | + | 3.60175i | −0.0201941 | + | 0.127500i | ||||
\(799\) | 0.659895 | + | 12.5916i | 0.0233454 | + | 0.445457i | ||||
\(800\) | −8.58851 | − | 5.57745i | −0.303650 | − | 0.197192i | ||||
\(801\) | 7.70818 | − | 1.22086i | 0.272355 | − | 0.0431368i | ||||
\(802\) | 4.81942 | − | 2.78249i | 0.170180 | − | 0.0982532i | ||||
\(803\) | 7.91951 | − | 19.0003i | 0.279473 | − | 0.670507i | ||||
\(804\) | 6.02442 | + | 22.4835i | 0.212465 | + | 0.792930i | ||||
\(805\) | 19.7948 | + | 14.3817i | 0.697674 | + | 0.506890i | ||||
\(806\) | −0.00983609 | + | 0.124820i | −0.000346462 | + | 0.00439658i | ||||
\(807\) | −7.52553 | − | 23.1612i | −0.264911 | − | 0.815312i | ||||
\(808\) | 6.37678 | − | 7.87467i | 0.224335 | − | 0.277030i | ||||
\(809\) | −3.57678 | + | 0.375934i | −0.125753 | + | 0.0132171i | −0.167196 | − | 0.985924i | \(-0.553471\pi\) |
0.0414430 | + | 0.999141i | \(0.486805\pi\) | |||||||
\(810\) | −0.149485 | + | 0.166020i | −0.00525238 | + | 0.00583336i | ||||
\(811\) | −20.2287 | − | 39.7011i | −0.710326 | − | 1.39409i | −0.910157 | − | 0.414264i | \(-0.864039\pi\) |
0.199831 | − | 0.979830i | \(-0.435961\pi\) | |||||||
\(812\) | 16.1613 | − | 13.0872i | 0.567151 | − | 0.459270i | ||||
\(813\) | 4.75382 | − | 17.7415i | 0.166724 | − | 0.622222i | ||||
\(814\) | 1.62127 | + | 5.51816i | 0.0568256 | + | 0.193411i | ||||
\(815\) | 6.08051 | + | 10.5318i | 0.212991 | + | 0.368911i | ||||
\(816\) | −8.90261 | + | 3.96370i | −0.311654 | + | 0.138757i | ||||
\(817\) | 12.5905 | + | 0.659841i | 0.440486 | + | 0.0230849i | ||||
\(818\) | −2.06685 | + | 0.671559i | −0.0722656 | + | 0.0234805i | ||||
\(819\) | −12.3347 | + | 0.969521i | −0.431010 | + | 0.0338778i | ||||
\(820\) | −2.73832 | − | 3.76898i | −0.0956264 | − | 0.131618i | ||||
\(821\) | 23.1965 | − | 15.0640i | 0.809564 | − | 0.525737i | −0.0722208 | − | 0.997389i | \(-0.523009\pi\) |
0.881785 | + | 0.471652i | \(0.156342\pi\) | |||||||
\(822\) | 1.45580 | − | 1.31081i | 0.0507769 | − | 0.0457197i | ||||
\(823\) | 17.2858 | + | 1.81682i | 0.602547 | + | 0.0633302i | 0.400890 | − | 0.916126i | \(-0.368701\pi\) |
0.201656 | + | 0.979456i | \(0.435368\pi\) | |||||||
\(824\) | −5.57807 | + | 5.57807i | −0.194321 | + | 0.194321i | ||||
\(825\) | −6.27691 | − | 11.6219i | −0.218534 | − | 0.404623i | ||||
\(826\) | 4.95183 | + | 1.32684i | 0.172296 | + | 0.0461666i | ||||
\(827\) | −0.560040 | − | 3.53595i | −0.0194745 | − | 0.122957i | 0.976036 | − | 0.217610i | \(-0.0698260\pi\) |
−0.995510 | + | 0.0946526i | \(0.969826\pi\) | |||||||
\(828\) | −13.4894 | + | 2.86726i | −0.468789 | + | 0.0996441i | ||||
\(829\) | 0.229385 | − | 1.07917i | 0.00796688 | − | 0.0374812i | −0.973985 | − | 0.226614i | \(-0.927234\pi\) |
0.981951 | + | 0.189133i | \(0.0605677\pi\) | |||||||
\(830\) | −1.80008 | − | 1.45768i | −0.0624819 | − | 0.0505968i | ||||
\(831\) | −12.9308 | + | 9.39476i | −0.448564 | + | 0.325901i | ||||
\(832\) | −21.6933 | − | 11.7813i | −0.752081 | − | 0.408444i | ||||
\(833\) | −11.9369 | − | 3.87852i | −0.413588 | − | 0.134383i | ||||
\(834\) | 2.60355 | + | 0.999408i | 0.0901535 | + | 0.0346067i | ||||
\(835\) | 17.0028 | + | 9.81658i | 0.588407 | + | 0.339717i | ||||
\(836\) | −29.2882 | + | 10.2986i | −1.01295 | + | 0.356184i | ||||
\(837\) | 0.110868 | + | 0.110868i | 0.00383217 | + | 0.00383217i | ||||
\(838\) | 1.03051 | + | 1.27257i | 0.0355983 | + | 0.0439602i | ||||
\(839\) | −3.42658 | + | 5.27647i | −0.118299 | + | 0.182164i | −0.892859 | − | 0.450336i | \(-0.851304\pi\) |
0.774561 | + | 0.632500i | \(0.217971\pi\) | |||||||
\(840\) | −2.69877 | − | 1.37509i | −0.0931163 | − | 0.0474451i | ||||
\(841\) | 17.6783 | + | 7.87091i | 0.609598 | + | 0.271411i | ||||
\(842\) | 0.664229 | + | 6.31972i | 0.0228908 | + | 0.217792i | ||||
\(843\) | −3.00725 | − | 4.63075i | −0.103575 | − | 0.159492i | ||||
\(844\) | 2.05260 | − | 6.31725i | 0.0706533 | − | 0.217449i | ||||
\(845\) | −13.0413 | + | 1.36806i | −0.448635 | + | 0.0470626i | ||||
\(846\) | − | 1.06260i | − | 0.0365330i | ||||||
\(847\) | 36.9570 | − | 7.68461i | 1.26986 | − | 0.264046i | ||||
\(848\) | 22.7476 | − | 39.4000i | 0.781156 | − | 1.35300i | ||||
\(849\) | −1.15841 | + | 11.0216i | −0.0397566 | + | 0.378259i | ||||
\(850\) | 2.06544 | − | 1.05240i | 0.0708441 | − | 0.0360969i | ||||
\(851\) | 55.2702 | − | 2.89659i | 1.89464 | − | 0.0992937i | ||||
\(852\) | 5.76994 | − | 2.21487i | 0.197675 | − | 0.0758803i | ||||
\(853\) | −2.72409 | − | 0.431454i | −0.0932711 | − | 0.0147727i | 0.109624 | − | 0.993973i | \(-0.465035\pi\) |
−0.202896 | + | 0.979200i | \(0.565035\pi\) | |||||||
\(854\) | −5.62645 | − | 5.06607i | −0.192533 | − | 0.173358i | ||||
\(855\) | 3.23840 | + | 3.59661i | 0.110751 | + | 0.123001i | ||||
\(856\) | −3.68914 | + | 9.61055i | −0.126092 | + | 0.328482i | ||||
\(857\) | −7.68745 | −0.262598 | −0.131299 | − | 0.991343i | \(-0.541915\pi\) | ||||
−0.131299 | + | 0.991343i | \(0.541915\pi\) | |||||||
\(858\) | 1.43734 | + | 2.22456i | 0.0490699 | + | 0.0759451i | ||||
\(859\) | −23.6103 | −0.805573 | −0.402786 | − | 0.915294i | \(-0.631958\pi\) | ||||
−0.402786 | + | 0.915294i | \(0.631958\pi\) | |||||||
\(860\) | −1.85312 | + | 4.82754i | −0.0631909 | + | 0.164618i | ||||
\(861\) | 5.43590 | + | 6.03718i | 0.185255 | + | 0.205747i | ||||
\(862\) | 4.53634 | + | 4.08454i | 0.154508 | + | 0.139120i | ||||
\(863\) | −26.5616 | − | 4.20694i | −0.904168 | − | 0.143206i | −0.312998 | − | 0.949754i | \(-0.601333\pi\) |
−0.591169 | + | 0.806548i | \(0.701333\pi\) | |||||||
\(864\) | 2.40058 | − | 0.921497i | 0.0816694 | − | 0.0313500i | ||||
\(865\) | −0.658419 | + | 0.0345063i | −0.0223869 | + | 0.00117325i | ||||
\(866\) | 4.52841 | − | 2.30734i | 0.153882 | − | 0.0784066i | ||||
\(867\) | −1.05503 | + | 10.0379i | −0.0358307 | + | 0.340906i | ||||
\(868\) | −0.524847 | + | 0.909062i | −0.0178145 | + | 0.0308556i | ||||
\(869\) | 15.3769 | − | 24.9685i | 0.521625 | − | 0.847000i | ||||
\(870\) | 0.693939i | 0.0235267i | ||||||||
\(871\) | −16.4581 | − | 39.7447i | −0.557662 | − | 1.34670i | ||||
\(872\) | 0.462645 | − | 1.42387i | 0.0156671 | − | 0.0482184i | ||||
\(873\) | −5.06508 | − | 7.79953i | −0.171427 | − | 0.263974i | ||||
\(874\) | −0.785190 | − | 7.47059i | −0.0265595 | − | 0.252696i | ||||
\(875\) | −28.4041 | − | 12.6463i | −0.960232 | − | 0.427523i | ||||
\(876\) | 10.7888 | + | 5.49719i | 0.364521 | + | 0.185733i | ||||
\(877\) | −26.5708 | + | 40.9155i | −0.897233 | + | 1.38162i | 0.0269374 | + | 0.999637i | \(0.491425\pi\) |
−0.924170 | + | 0.381981i | \(0.875242\pi\) | |||||||
\(878\) | −5.58311 | − | 6.89457i | −0.188421 | − | 0.232680i | ||||
\(879\) | −21.3388 | − | 21.3388i | −0.719741 | − | 0.719741i | ||||
\(880\) | −0.297278 | − | 12.4016i | −0.0100212 | − | 0.418057i | ||||
\(881\) | −16.2711 | − | 9.39410i | −0.548186 | − | 0.316495i | 0.200204 | − | 0.979754i | \(-0.435839\pi\) |
−0.748390 | + | 0.663259i | \(0.769173\pi\) | |||||||
\(882\) | 0.987487 | + | 0.379061i | 0.0332504 | + | 0.0127636i | ||||
\(883\) | 37.9050 | + | 12.3161i | 1.27560 | + | 0.414469i | 0.867030 | − | 0.498256i | \(-0.166026\pi\) |
0.408574 | + | 0.912725i | \(0.366026\pi\) | |||||||
\(884\) | 15.7633 | − | 9.65759i | 0.530177 | − | 0.324820i | ||||
\(885\) | 5.50435 | − | 3.99915i | 0.185027 | − | 0.134430i | ||||
\(886\) | −0.547579 | − | 0.443421i | −0.0183963 | − | 0.0148970i | ||||
\(887\) | −0.683884 | + | 3.21742i | −0.0229626 | + | 0.108030i | −0.988136 | − | 0.153579i | \(-0.950920\pi\) |
0.965174 | + | 0.261610i | \(0.0842533\pi\) | |||||||
\(888\) | −6.70166 | + | 1.42448i | −0.224893 | + | 0.0478025i | ||||
\(889\) | −9.03179 | − | 57.0244i | −0.302916 | − | 1.91254i | ||||
\(890\) | −1.68408 | − | 0.451249i | −0.0564506 | − | 0.0151259i | ||||
\(891\) | 3.28728 | + | 0.440184i | 0.110128 | + | 0.0147467i | ||||
\(892\) | −17.6504 | + | 17.6504i | −0.590978 | + | 0.590978i | ||||
\(893\) | −22.8937 | − | 2.40623i | −0.766110 | − | 0.0805214i | ||||
\(894\) | −2.43188 | + | 2.18968i | −0.0813344 | + | 0.0732338i | ||||
\(895\) | 3.54492 | − | 2.30210i | 0.118494 | − | 0.0769506i | ||||
\(896\) | 13.4317 | + | 18.4872i | 0.448722 | + | 0.617614i | ||||
\(897\) | 24.0257 | − | 8.50524i | 0.802195 | − | 0.283982i | ||||
\(898\) | −7.18385 | + | 2.33418i | −0.239728 | + | 0.0778924i | ||||
\(899\) | 0.486362 | + | 0.0254892i | 0.0162211 | + | 0.000850111i | ||||
\(900\) | 7.09803 | − | 3.16025i | 0.236601 | − | 0.105342i | ||||
\(901\) | 16.1222 | + | 27.9244i | 0.537107 | + | 0.930296i | ||||
\(902\) | 0.584111 | − | 1.63795i | 0.0194488 | − | 0.0545377i | ||||
\(903\) | 2.33381 | − | 8.70990i | 0.0776644 | − | 0.289847i | ||||
\(904\) | −12.1130 | + | 9.80889i | −0.402871 | + | 0.326239i | ||||
\(905\) | −8.02825 | − | 15.7563i | −0.266868 | − | 0.523758i | ||||
\(906\) | −1.81719 | + | 2.01819i | −0.0603720 | + | 0.0670499i | ||||
\(907\) | −6.07309 | + | 0.638308i | −0.201654 | + | 0.0211947i | −0.204817 | − | 0.978800i | \(-0.565660\pi\) |
0.00316300 | + | 0.999995i | \(0.498993\pi\) | |||||||
\(908\) | −25.3293 | + | 31.2791i | −0.840584 | + | 1.03803i | ||||
\(909\) | 3.57831 | + | 11.0129i | 0.118685 | + | 0.365275i | ||||
\(910\) | 2.60547 | + | 0.922939i | 0.0863705 | + | 0.0305951i | ||||
\(911\) | −14.9588 | − | 10.8682i | −0.495608 | − | 0.360081i | 0.311729 | − | 0.950171i | \(-0.399092\pi\) |
−0.807337 | + | 0.590091i | \(0.799092\pi\) | |||||||
\(912\) | −4.60480 | − | 17.1854i | −0.152480 | − | 0.569064i | ||||
\(913\) | −2.77388 | + | 34.2753i | −0.0918019 | + | 1.13435i | ||||
\(914\) | 7.43780 | − | 4.29422i | 0.246021 | − | 0.142040i | ||||
\(915\) | −9.92447 | + | 1.57188i | −0.328093 | + | 0.0519648i | ||||
\(916\) | 6.02199 | + | 3.91072i | 0.198972 | + | 0.129214i | ||||
\(917\) | −0.248478 | − | 4.74124i | −0.00820546 | − | 0.156570i | ||||
\(918\) | −0.0910548 | + | 0.574897i | −0.00300526 | + | 0.0189744i | ||||
\(919\) | −7.44777 | + | 16.7280i | −0.245679 | + | 0.551804i | −0.993726 | − | 0.111841i | \(-0.964325\pi\) |
0.748047 | + | 0.663646i | \(0.230992\pi\) | |||||||
\(920\) | 6.10290 | + | 1.29721i | 0.201207 | + | 0.0427678i | ||||
\(921\) | 0.101703 | − | 1.94060i | 0.00335122 | − | 0.0639450i | ||||
\(922\) | 2.45253 | − | 3.37562i | 0.0807698 | − | 0.111170i | ||||
\(923\) | −10.0385 | + | 5.44915i | −0.330421 | + | 0.179361i | ||||
\(924\) | 2.84951 | + | 22.0207i | 0.0937419 | + | 0.724428i | ||||
\(925\) | −30.1196 | + | 8.07053i | −0.990328 | + | 0.265358i | ||||
\(926\) | −2.95121 | − | 6.62854i | −0.0969829 | − | 0.217827i | ||||
\(927\) | −1.87432 | − | 8.81798i | −0.0615608 | − | 0.289621i | ||||
\(928\) | 3.62614 | − | 7.11670i | 0.119034 | − | 0.233617i | ||||
\(929\) | −2.94905 | − | 7.68253i | −0.0967551 | − | 0.252056i | 0.876657 | − | 0.481115i | \(-0.159768\pi\) |
−0.973412 | + | 0.229060i | \(0.926435\pi\) | |||||||
\(930\) | −0.0125528 | − | 0.0327011i | −0.000411621 | − | 0.00107231i | ||||
\(931\) | 10.4030 | − | 20.4170i | 0.340944 | − | 0.669141i | ||||
\(932\) | −10.2280 | − | 48.1188i | −0.335028 | − | 1.57618i | ||||
\(933\) | −12.3097 | − | 27.6480i | −0.403001 | − | 0.905155i | ||||
\(934\) | −2.21505 | + | 0.593521i | −0.0724787 | + | 0.0194206i | ||||
\(935\) | 7.71727 | + | 4.21228i | 0.252382 | + | 0.137756i | ||||
\(936\) | −2.77286 | + | 1.50518i | −0.0906338 | + | 0.0491984i | ||||
\(937\) | −31.0365 | + | 42.7181i | −1.01392 | + | 1.39554i | −0.0975383 | + | 0.995232i | \(0.531097\pi\) |
−0.916381 | + | 0.400308i | \(0.868903\pi\) | |||||||
\(938\) | −0.474572 | + | 9.05538i | −0.0154953 | + | 0.295669i | ||||
\(939\) | −7.55539 | − | 1.60595i | −0.246561 | − | 0.0524081i | ||||
\(940\) | 3.84018 | − | 8.62518i | 0.125253 | − | 0.281322i | ||||
\(941\) | −0.124899 | + | 0.788584i | −0.00407161 | + | 0.0257071i | −0.989641 | − | 0.143568i | \(-0.954143\pi\) |
0.985569 | + | 0.169275i | \(0.0541425\pi\) | |||||||
\(942\) | 0.130360 | + | 2.48742i | 0.00424737 | + | 0.0810446i | ||||
\(943\) | −14.0346 | − | 9.11417i | −0.457029 | − | 0.296798i | ||||
\(944\) | −24.7038 | + | 3.91270i | −0.804040 | + | 0.127347i | ||||
\(945\) | 2.99765 | − | 1.73069i | 0.0975136 | − | 0.0562995i | ||||
\(946\) | −1.87787 | + | 0.446442i | −0.0610547 | + | 0.0145151i | ||||
\(947\) | 1.12740 | + | 4.20751i | 0.0366355 | + | 0.136726i | 0.981821 | − | 0.189807i | \(-0.0607863\pi\) |
−0.945186 | + | 0.326533i | \(0.894120\pi\) | |||||||
\(948\) | 13.9548 | + | 10.1388i | 0.453232 | + | 0.329292i | ||||
\(949\) | −21.0936 | − | 7.47203i | −0.684728 | − | 0.242552i | ||||
\(950\) | 1.30780 | + | 4.02500i | 0.0424307 | + | 0.130588i | ||||
\(951\) | −8.85180 | + | 10.9311i | −0.287039 | + | 0.354464i | ||||
\(952\) | −7.84840 | + | 0.824900i | −0.254368 | + | 0.0267352i | ||||
\(953\) | −31.1963 | + | 34.6470i | −1.01055 | + | 1.12233i | −0.0180771 | + | 0.999837i | \(0.505754\pi\) |
−0.992470 | + | 0.122489i | \(0.960912\pi\) | |||||||
\(954\) | −1.23366 | − | 2.42119i | −0.0399412 | − | 0.0783891i | ||||
\(955\) | −17.5491 | + | 14.2109i | −0.567874 | + | 0.459855i | ||||
\(956\) | −8.59965 | + | 32.0943i | −0.278133 | + | 1.03800i | ||||
\(957\) | 8.50320 | − | 5.81642i | 0.274869 | − | 0.188018i | ||||
\(958\) | 1.39308 | + | 2.41289i | 0.0450085 | + | 0.0779570i | ||||
\(959\) | −27.7282 | + | 12.3454i | −0.895389 | + | 0.398653i | ||||
\(960\) | 6.89666 | + | 0.361439i | 0.222589 | + | 0.0116654i | ||||
\(961\) | 29.4594 | − | 9.57193i | 0.950302 | − | 0.308772i | ||||
\(962\) | 5.89401 | − | 2.08651i | 0.190030 | − | 0.0672719i | ||||
\(963\) | −6.91482 | − | 9.51743i | −0.222827 | − | 0.306695i | ||||
\(964\) | 7.07178 | − | 4.59247i | 0.227767 | − | 0.147913i | ||||
\(965\) | −3.67428 | + | 3.30834i | −0.118279 | + | 0.106499i | ||||
\(966\) | −5.34300 | − | 0.561572i | −0.171908 | − | 0.0180683i | ||||
\(967\) | −29.1714 | + | 29.1714i | −0.938089 | + | 0.938089i | −0.998192 | − | 0.0601029i | \(-0.980857\pi\) |
0.0601029 | + | 0.998192i | \(0.480857\pi\) | |||||||
\(968\) | 7.81223 | − | 5.62324i | 0.251095 | − | 0.180738i | ||||
\(969\) | 12.1800 | + | 3.26361i | 0.391277 | + | 0.104842i | ||||
\(970\) | 0.325011 | + | 2.05204i | 0.0104355 | + | 0.0658869i | ||||
\(971\) | 33.2717 | − | 7.07212i | 1.06774 | − | 0.226955i | 0.359657 | − | 0.933084i | \(-0.382894\pi\) |
0.708083 | + | 0.706129i | \(0.249560\pi\) | |||||||
\(972\) | −0.405625 | + | 1.90831i | −0.0130104 | + | 0.0612092i | ||||
\(973\) | −33.5798 | − | 27.1924i | −1.07652 | − | 0.871749i | ||||
\(974\) | 3.05706 | − | 2.22109i | 0.0979546 | − | 0.0711682i | ||||
\(975\) | −12.2441 | + | 7.50149i | −0.392124 | + | 0.240240i | ||||
\(976\) | 35.1309 | + | 11.4147i | 1.12451 | + | 0.365376i | ||||
\(977\) | −24.5935 | − | 9.44057i | −0.786817 | − | 0.302031i | −0.0684130 | − | 0.997657i | \(-0.521794\pi\) |
−0.718404 | + | 0.695626i | \(0.755127\pi\) | |||||||
\(978\) | −2.31248 | − | 1.33511i | −0.0739451 | − | 0.0426922i | ||||
\(979\) | 8.58616 | + | 24.4182i | 0.274415 | + | 0.780409i | ||||
\(980\) | 6.64557 | + | 6.64557i | 0.212285 | + | 0.212285i | ||||
\(981\) | 1.07672 | + | 1.32964i | 0.0343770 | + | 0.0424521i | ||||
\(982\) | 4.06890 | − | 6.26555i | 0.129844 | − | 0.199942i | ||||
\(983\) | −4.46913 | − | 2.27714i | −0.142543 | − | 0.0726293i | 0.381264 | − | 0.924466i | \(-0.375489\pi\) |
−0.523807 | + | 0.851837i | \(0.675489\pi\) | |||||||
\(984\) | 1.89247 | + | 0.842584i | 0.0603299 | + | 0.0268606i | ||||
\(985\) | 1.62354 | + | 15.4469i | 0.0517302 | + | 0.492180i | ||||
\(986\) | 0.984719 | + | 1.51633i | 0.0313598 | + | 0.0482899i | ||||
\(987\) | −5.08763 | + | 15.6581i | −0.161941 | + | 0.498403i | ||||
\(988\) | 12.9127 | + | 31.1828i | 0.410807 | + | 0.992057i | ||||
\(989\) | 18.5745i | 0.590634i | ||||||||
\(990\) | −0.630899 | − | 0.388539i | −0.0200513 | − | 0.0123486i | ||||
\(991\) | −1.91760 | + | 3.32138i | −0.0609145 | + | 0.105507i | −0.894874 | − | 0.446318i | \(-0.852735\pi\) |
0.833960 | + | 0.551825i | \(0.186068\pi\) | |||||||
\(992\) | −0.0421426 | + | 0.400960i | −0.00133803 | + | 0.0127305i | ||||
\(993\) | −3.78632 | + | 1.92923i | −0.120155 | + | 0.0612222i | ||||
\(994\) | 2.40440 | − | 0.126009i | 0.0762629 | − | 0.00399677i | ||||
\(995\) | 9.08454 | − | 3.48723i | 0.287999 | − | 0.110553i | ||||
\(996\) | −19.9787 | − | 3.16432i | −0.633050 | − | 0.100265i | ||||
\(997\) | 22.7181 | + | 20.4555i | 0.719490 | + | 0.647831i | 0.945248 | − | 0.326352i | \(-0.105819\pi\) |
−0.225759 | + | 0.974183i | \(0.572486\pi\) | |||||||
\(998\) | −4.48128 | − | 4.97697i | −0.141853 | − | 0.157543i | ||||
\(999\) | 2.80591 | − | 7.30964i | 0.0887749 | − | 0.231267i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 429.2.bs.a.7.8 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.8 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.8 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.8 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.8 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.8 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.8 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.8 | yes | 224 | 143.41 | even | 60 | inner |