Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 124.2 | ||
Root | \(-0.471815 + 0.649397i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.124 |
Dual form | 605.2.j.g.444.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.471815 | − | 0.649397i | −0.333623 | − | 0.459193i | 0.608942 | − | 0.793215i | \(-0.291594\pi\) |
−0.942565 | + | 0.334022i | \(0.891594\pi\) | |||||||
\(3\) | −1.67457 | + | 0.544099i | −0.966811 | + | 0.314136i | −0.749528 | − | 0.661973i | \(-0.769719\pi\) |
−0.217283 | + | 0.976109i | \(0.569719\pi\) | |||||||
\(4\) | 0.418926 | − | 1.28932i | 0.209463 | − | 0.644661i | ||||
\(5\) | −0.145858 | + | 2.23131i | −0.0652296 | + | 0.997870i | ||||
\(6\) | 1.14342 | + | 0.830744i | 0.466800 | + | 0.339150i | ||||
\(7\) | 0.563124 | + | 0.182970i | 0.212841 | + | 0.0691561i | 0.413497 | − | 0.910506i | \(-0.364307\pi\) |
−0.200656 | + | 0.979662i | \(0.564307\pi\) | |||||||
\(8\) | −2.56176 | + | 0.832367i | −0.905720 | + | 0.294286i | ||||
\(9\) | 0.0810736 | − | 0.0589034i | 0.0270245 | − | 0.0196345i | ||||
\(10\) | 1.51782 | − | 0.958043i | 0.479977 | − | 0.302960i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 2.38699i | 0.689065i | ||||||||
\(13\) | −1.05501 | − | 1.45210i | −0.292607 | − | 0.402739i | 0.637252 | − | 0.770656i | \(-0.280071\pi\) |
−0.929859 | + | 0.367917i | \(0.880071\pi\) | |||||||
\(14\) | −0.146870 | − | 0.452019i | −0.0392526 | − | 0.120807i | ||||
\(15\) | −0.969803 | − | 3.81583i | −0.250402 | − | 0.985243i | ||||
\(16\) | −0.444313 | − | 0.322812i | −0.111078 | − | 0.0807031i | ||||
\(17\) | 4.15982 | − | 5.72551i | 1.00891 | − | 1.38864i | 0.0892075 | − | 0.996013i | \(-0.471567\pi\) |
0.919698 | − | 0.392626i | \(-0.128433\pi\) | |||||||
\(18\) | −0.0765034 | − | 0.0248575i | −0.0180320 | − | 0.00585896i | ||||
\(19\) | −0.706673 | − | 2.17492i | −0.162122 | − | 0.498960i | 0.836691 | − | 0.547676i | \(-0.184487\pi\) |
−0.998813 | + | 0.0487157i | \(0.984487\pi\) | |||||||
\(20\) | 2.81577 | + | 1.12281i | 0.629625 | + | 0.251068i | ||||
\(21\) | −1.04254 | −0.227501 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.49081i | 0.310855i | 0.987847 | + | 0.155428i | \(0.0496756\pi\) | ||||
−0.987847 | + | 0.155428i | \(0.950324\pi\) | |||||||
\(24\) | 3.83695 | − | 2.78771i | 0.783214 | − | 0.569038i | ||||
\(25\) | −4.95745 | − | 0.650907i | −0.991490 | − | 0.130181i | ||||
\(26\) | −0.445218 | + | 1.37024i | −0.0873145 | + | 0.268726i | ||||
\(27\) | 3.00110 | − | 4.13066i | 0.577562 | − | 0.794946i | ||||
\(28\) | 0.471815 | − | 0.649397i | 0.0891646 | − | 0.122725i | ||||
\(29\) | 1.10489 | − | 3.40050i | 0.205173 | − | 0.631456i | −0.794534 | − | 0.607220i | \(-0.792285\pi\) |
0.999706 | − | 0.0242362i | \(-0.00771537\pi\) | |||||||
\(30\) | −2.02042 | + | 2.43015i | −0.368877 | + | 0.443683i | ||||
\(31\) | −4.98940 | + | 3.62501i | −0.896122 | + | 0.651071i | −0.937467 | − | 0.348074i | \(-0.886836\pi\) |
0.0413447 | + | 0.999145i | \(0.486836\pi\) | |||||||
\(32\) | 5.82804i | 1.03026i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.68079 | −0.974248 | ||||||||
\(35\) | −0.490398 | + | 1.22981i | −0.0828924 | + | 0.207876i | ||||
\(36\) | −0.0419817 | − | 0.129206i | −0.00699694 | − | 0.0215344i | ||||
\(37\) | −6.97831 | − | 2.26739i | −1.14723 | − | 0.372757i | −0.327129 | − | 0.944980i | \(-0.606081\pi\) |
−0.820098 | + | 0.572223i | \(0.806081\pi\) | |||||||
\(38\) | −1.07897 | + | 1.48507i | −0.175031 | + | 0.240910i | ||||
\(39\) | 2.55677 | + | 1.85760i | 0.409410 | + | 0.297454i | ||||
\(40\) | −1.48361 | − | 5.83748i | −0.234580 | − | 0.922987i | ||||
\(41\) | −2.59890 | − | 7.99858i | −0.405879 | − | 1.24917i | −0.920159 | − | 0.391545i | \(-0.871941\pi\) |
0.514280 | − | 0.857623i | \(-0.328059\pi\) | |||||||
\(42\) | 0.491886 | + | 0.677023i | 0.0758997 | + | 0.104467i | ||||
\(43\) | − | 9.51936i | − | 1.45169i | −0.687859 | − | 0.725844i | \(-0.741449\pi\) | ||
0.687859 | − | 0.725844i | \(-0.258551\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.119606 | + | 0.189492i | 0.0178299 | + | 0.0282477i | ||||
\(46\) | 0.968128 | − | 0.703386i | 0.142743 | − | 0.103709i | ||||
\(47\) | 1.83711 | − | 0.596914i | 0.267970 | − | 0.0870688i | −0.171950 | − | 0.985106i | \(-0.555007\pi\) |
0.439920 | + | 0.898037i | \(0.355007\pi\) | |||||||
\(48\) | 0.919674 | + | 0.298820i | 0.132743 | + | 0.0431310i | ||||
\(49\) | −5.37949 | − | 3.90843i | −0.768498 | − | 0.558347i | ||||
\(50\) | 1.91630 | + | 3.52646i | 0.271006 | + | 0.498717i | ||||
\(51\) | −3.85065 | + | 11.8511i | −0.539199 | + | 1.65948i | ||||
\(52\) | −2.31419 | + | 0.751927i | −0.320921 | + | 0.104273i | ||||
\(53\) | −1.40064 | − | 1.92781i | −0.192392 | − | 0.264806i | 0.701913 | − | 0.712263i | \(-0.252330\pi\) |
−0.894305 | + | 0.447457i | \(0.852330\pi\) | |||||||
\(54\) | −4.09840 | −0.557722 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.59489 | −0.213126 | ||||||||
\(57\) | 2.36674 | + | 3.25754i | 0.313482 | + | 0.431471i | ||||
\(58\) | −2.72957 | + | 0.886893i | −0.358411 | + | 0.116455i | ||||
\(59\) | 0.0118285 | − | 0.0364043i | 0.00153994 | − | 0.00473944i | −0.950284 | − | 0.311386i | \(-0.899207\pi\) |
0.951824 | + | 0.306646i | \(0.0992069\pi\) | |||||||
\(60\) | −5.32611 | − | 0.348162i | −0.687598 | − | 0.0449475i | ||||
\(61\) | −2.78430 | − | 2.02291i | −0.356493 | − | 0.259007i | 0.395095 | − | 0.918640i | \(-0.370712\pi\) |
−0.751588 | + | 0.659633i | \(0.770712\pi\) | |||||||
\(62\) | 4.70814 | + | 1.52977i | 0.597935 | + | 0.194281i | ||||
\(63\) | 0.0564320 | − | 0.0183359i | 0.00710977 | − | 0.00231010i | ||||
\(64\) | 2.89608 | − | 2.10413i | 0.362010 | − | 0.263016i | ||||
\(65\) | 3.39395 | − | 2.14225i | 0.420968 | − | 0.265713i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 6.79162i | − | 0.829728i | −0.909883 | − | 0.414864i | \(-0.863829\pi\) | ||
0.909883 | − | 0.414864i | \(-0.136171\pi\) | |||||||
\(68\) | −5.63937 | − | 7.76192i | −0.683874 | − | 0.941271i | ||||
\(69\) | −0.811149 | − | 2.49646i | −0.0976508 | − | 0.300538i | ||||
\(70\) | 1.03001 | − | 0.261781i | 0.123110 | − | 0.0312888i | ||||
\(71\) | 9.54114 | + | 6.93205i | 1.13233 | + | 0.822683i | 0.986032 | − | 0.166559i | \(-0.0532655\pi\) |
0.146294 | + | 0.989241i | \(0.453265\pi\) | |||||||
\(72\) | −0.158662 | + | 0.218380i | −0.0186985 | + | 0.0257363i | ||||
\(73\) | −6.48882 | − | 2.10835i | −0.759459 | − | 0.246763i | −0.0964127 | − | 0.995341i | \(-0.530737\pi\) |
−0.663046 | + | 0.748578i | \(0.730737\pi\) | |||||||
\(74\) | 1.82003 | + | 5.60148i | 0.211574 | + | 0.651159i | ||||
\(75\) | 8.65573 | − | 1.60736i | 0.999478 | − | 0.185602i | ||||
\(76\) | −3.10021 | −0.355619 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 2.53680i | − | 0.287236i | ||||||
\(79\) | −3.66165 | + | 2.66035i | −0.411968 | + | 0.299313i | −0.774398 | − | 0.632699i | \(-0.781947\pi\) |
0.362430 | + | 0.932011i | \(0.381947\pi\) | |||||||
\(80\) | 0.785100 | − | 0.944314i | 0.0877768 | − | 0.105578i | ||||
\(81\) | −2.87095 | + | 8.83588i | −0.318995 | + | 0.981765i | ||||
\(82\) | −3.96806 | + | 5.46156i | −0.438198 | + | 0.603128i | ||||
\(83\) | −3.49299 | + | 4.80768i | −0.383405 | + | 0.527712i | −0.956483 | − | 0.291789i | \(-0.905749\pi\) |
0.573077 | + | 0.819501i | \(0.305749\pi\) | |||||||
\(84\) | −0.436748 | + | 1.34417i | −0.0476531 | + | 0.146661i | ||||
\(85\) | 12.1686 | + | 10.1170i | 1.31987 | + | 1.09734i | ||||
\(86\) | −6.18185 | + | 4.49137i | −0.666606 | + | 0.484317i | ||||
\(87\) | 6.29552i | 0.674951i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.21375 | 0.658656 | 0.329328 | − | 0.944216i | \(-0.393178\pi\) | ||||
0.329328 | + | 0.944216i | \(0.393178\pi\) | |||||||
\(90\) | 0.0666232 | − | 0.167077i | 0.00702271 | − | 0.0176114i | ||||
\(91\) | −0.328411 | − | 1.01074i | −0.0344268 | − | 0.105955i | ||||
\(92\) | 1.92214 | + | 0.624540i | 0.200396 | + | 0.0651128i | ||||
\(93\) | 6.38271 | − | 8.78504i | 0.661856 | − | 0.910967i | ||||
\(94\) | −1.25441 | − | 0.911382i | −0.129383 | − | 0.0940019i | ||||
\(95\) | 4.95598 | − | 1.25957i | 0.508472 | − | 0.129230i | ||||
\(96\) | −3.17103 | − | 9.75943i | −0.323642 | − | 0.996067i | ||||
\(97\) | −3.15976 | − | 4.34904i | −0.320825 | − | 0.441578i | 0.617894 | − | 0.786262i | \(-0.287986\pi\) |
−0.938719 | + | 0.344684i | \(0.887986\pi\) | |||||||
\(98\) | 5.33748i | 0.539167i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.91604 | + | 6.11907i | −0.291604 | + | 0.611907i | ||||
\(101\) | −8.03459 | + | 5.83747i | −0.799472 | + | 0.580850i | −0.910759 | − | 0.412938i | \(-0.864503\pi\) |
0.111287 | + | 0.993788i | \(0.464503\pi\) | |||||||
\(102\) | 9.51286 | − | 3.09092i | 0.941913 | − | 0.306046i | ||||
\(103\) | 12.8596 | + | 4.17833i | 1.26709 | + | 0.411703i | 0.864017 | − | 0.503463i | \(-0.167941\pi\) |
0.403076 | + | 0.915166i | \(0.367941\pi\) | |||||||
\(104\) | 3.91136 | + | 2.84177i | 0.383541 | + | 0.278658i | ||||
\(105\) | 0.152063 | − | 2.32623i | 0.0148398 | − | 0.227017i | ||||
\(106\) | −0.591075 | + | 1.81914i | −0.0574103 | + | 0.176691i | ||||
\(107\) | 5.33010 | − | 1.73185i | 0.515280 | − | 0.167425i | −0.0398221 | − | 0.999207i | \(-0.512679\pi\) |
0.555102 | + | 0.831782i | \(0.312679\pi\) | |||||||
\(108\) | −4.06852 | − | 5.59983i | −0.391493 | − | 0.538844i | ||||
\(109\) | 18.6001 | 1.78157 | 0.890784 | − | 0.454428i | \(-0.150156\pi\) | ||||
0.890784 | + | 0.454428i | \(0.150156\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.9193 | 1.22625 | ||||||||
\(112\) | −0.191138 | − | 0.263079i | −0.0180609 | − | 0.0248587i | ||||
\(113\) | 11.2238 | − | 3.64683i | 1.05584 | − | 0.343065i | 0.270885 | − | 0.962612i | \(-0.412684\pi\) |
0.784960 | + | 0.619547i | \(0.212684\pi\) | |||||||
\(114\) | 0.998773 | − | 3.07391i | 0.0935437 | − | 0.287898i | ||||
\(115\) | −3.32645 | − | 0.217446i | −0.310193 | − | 0.0202770i | ||||
\(116\) | −3.92147 | − | 2.84912i | −0.364099 | − | 0.264534i | ||||
\(117\) | −0.171067 | − | 0.0555830i | −0.0158151 | − | 0.00513865i | ||||
\(118\) | −0.0292217 | + | 0.00949471i | −0.00269008 | + | 0.000874059i | ||||
\(119\) | 3.39009 | − | 2.46304i | 0.310769 | − | 0.225787i | ||||
\(120\) | 5.66057 | + | 8.96801i | 0.516737 | + | 0.818664i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 2.76255i | 0.250110i | ||||||||
\(123\) | 8.70404 | + | 11.9801i | 0.784817 | + | 1.08021i | ||||
\(124\) | 2.58362 | + | 7.95156i | 0.232016 | + | 0.714071i | ||||
\(125\) | 2.17546 | − | 10.9666i | 0.194579 | − | 0.980887i | ||||
\(126\) | −0.0385327 | − | 0.0279957i | −0.00343277 | − | 0.00249405i | ||||
\(127\) | −9.43784 | + | 12.9901i | −0.837473 | + | 1.15268i | 0.149013 | + | 0.988835i | \(0.452390\pi\) |
−0.986486 | + | 0.163847i | \(0.947610\pi\) | |||||||
\(128\) | 8.35275 | + | 2.71397i | 0.738286 | + | 0.239884i | ||||
\(129\) | 5.17948 | + | 15.9408i | 0.456027 | + | 1.40351i | ||||
\(130\) | −2.99249 | − | 1.19328i | −0.262458 | − | 0.104657i | ||||
\(131\) | −18.0296 | −1.57525 | −0.787625 | − | 0.616154i | \(-0.788690\pi\) | ||||
−0.787625 | + | 0.616154i | \(0.788690\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 1.35405i | − | 0.117411i | ||||||
\(134\) | −4.41046 | + | 3.20438i | −0.381005 | + | 0.276817i | ||||
\(135\) | 8.77903 | + | 7.29886i | 0.755579 | + | 0.628186i | ||||
\(136\) | −5.89076 | + | 18.1299i | −0.505128 | + | 1.55463i | ||||
\(137\) | 2.36999 | − | 3.26202i | 0.202482 | − | 0.278693i | −0.695685 | − | 0.718347i | \(-0.744899\pi\) |
0.898167 | + | 0.439654i | \(0.144899\pi\) | |||||||
\(138\) | −1.23848 | + | 1.70462i | −0.105427 | + | 0.145107i | ||||
\(139\) | 2.45203 | − | 7.54656i | 0.207978 | − | 0.640091i | −0.791600 | − | 0.611040i | \(-0.790752\pi\) |
0.999578 | − | 0.0290509i | \(-0.00924848\pi\) | |||||||
\(140\) | 1.38019 | + | 1.14748i | 0.116647 | + | 0.0969800i | ||||
\(141\) | −2.75158 | + | 1.99914i | −0.231725 | + | 0.168358i | ||||
\(142\) | − | 9.46663i | − | 0.794422i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −0.0550368 | −0.00458640 | ||||||||
\(145\) | 7.42639 | + | 2.96133i | 0.616728 | + | 0.245925i | ||||
\(146\) | 1.69237 | + | 5.20857i | 0.140061 | + | 0.431064i | ||||
\(147\) | 11.1349 | + | 3.61794i | 0.918389 | + | 0.298403i | ||||
\(148\) | −5.84679 | + | 8.04742i | −0.480604 | + | 0.661494i | ||||
\(149\) | −10.1134 | − | 7.34783i | −0.828524 | − | 0.601958i | 0.0906173 | − | 0.995886i | \(-0.471116\pi\) |
−0.919141 | + | 0.393928i | \(0.871116\pi\) | |||||||
\(150\) | −5.12772 | − | 4.86263i | −0.418676 | − | 0.397032i | ||||
\(151\) | −2.59651 | − | 7.99123i | −0.211301 | − | 0.650317i | −0.999396 | − | 0.0347632i | \(-0.988932\pi\) |
0.788095 | − | 0.615554i | \(-0.211068\pi\) | |||||||
\(152\) | 3.62066 | + | 4.98341i | 0.293674 | + | 0.404208i | ||||
\(153\) | − | 0.709215i | − | 0.0573367i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.36076 | − | 11.6616i | −0.591231 | − | 0.936683i | ||||
\(156\) | 3.46614 | − | 2.51830i | 0.277514 | − | 0.201625i | ||||
\(157\) | −13.3109 | + | 4.32496i | −1.06232 | + | 0.345170i | −0.787493 | − | 0.616323i | \(-0.788621\pi\) |
−0.274830 | + | 0.961493i | \(0.588621\pi\) | |||||||
\(158\) | 3.45524 | + | 1.12268i | 0.274885 | + | 0.0893154i | ||||
\(159\) | 3.39438 | + | 2.46616i | 0.269192 | + | 0.195579i | ||||
\(160\) | −13.0041 | − | 0.850065i | −1.02807 | − | 0.0672036i | ||||
\(161\) | −0.272773 | + | 0.839510i | −0.0214976 | + | 0.0661627i | ||||
\(162\) | 7.09255 | − | 2.30451i | 0.557244 | − | 0.181059i | ||||
\(163\) | 6.96025 | + | 9.57996i | 0.545169 | + | 0.750360i | 0.989347 | − | 0.145578i | \(-0.0465043\pi\) |
−0.444178 | + | 0.895939i | \(0.646504\pi\) | |||||||
\(164\) | −11.4015 | −0.890307 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.77014 | 0.370235 | ||||||||
\(167\) | 5.12918 | + | 7.05971i | 0.396908 | + | 0.546297i | 0.959965 | − | 0.280121i | \(-0.0903747\pi\) |
−0.563057 | + | 0.826418i | \(0.690375\pi\) | |||||||
\(168\) | 2.67074 | − | 0.867777i | 0.206052 | − | 0.0669504i | ||||
\(169\) | 3.02168 | − | 9.29978i | 0.232437 | − | 0.715368i | ||||
\(170\) | 0.828589 | − | 12.6756i | 0.0635499 | − | 0.972173i | ||||
\(171\) | −0.185402 | − | 0.134703i | −0.0141781 | − | 0.0103010i | ||||
\(172\) | −12.2735 | − | 3.98791i | −0.935848 | − | 0.304075i | ||||
\(173\) | 8.72938 | − | 2.83635i | 0.663682 | − | 0.215643i | 0.0422448 | − | 0.999107i | \(-0.486549\pi\) |
0.621437 | + | 0.783464i | \(0.286549\pi\) | |||||||
\(174\) | 4.08829 | − | 2.97032i | 0.309933 | − | 0.225179i | ||||
\(175\) | −2.67256 | − | 1.27361i | −0.202027 | − | 0.0962755i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0673973i | 0.00506589i | ||||||||
\(178\) | −2.93174 | − | 4.03519i | −0.219743 | − | 0.302450i | ||||
\(179\) | −0.447507 | − | 1.37729i | −0.0334483 | − | 0.102943i | 0.932939 | − | 0.360036i | \(-0.117235\pi\) |
−0.966387 | + | 0.257093i | \(0.917235\pi\) | |||||||
\(180\) | 0.294422 | − | 0.0748282i | 0.0219449 | − | 0.00557736i | ||||
\(181\) | −0.641957 | − | 0.466409i | −0.0477163 | − | 0.0346679i | 0.563671 | − | 0.825999i | \(-0.309388\pi\) |
−0.611388 | + | 0.791331i | \(0.709388\pi\) | |||||||
\(182\) | −0.501426 | + | 0.690153i | −0.0371681 | + | 0.0511576i | ||||
\(183\) | 5.76315 | + | 1.87256i | 0.426024 | + | 0.138424i | ||||
\(184\) | −1.24090 | − | 3.81910i | −0.0914804 | − | 0.281548i | ||||
\(185\) | 6.07708 | − | 15.2400i | 0.446796 | − | 1.12047i | ||||
\(186\) | −8.71644 | −0.639120 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 2.61869i | − | 0.190988i | ||||||
\(189\) | 2.44578 | − | 1.77696i | 0.177904 | − | 0.129255i | ||||
\(190\) | −3.15627 | − | 2.62411i | −0.228980 | − | 0.190373i | ||||
\(191\) | −2.51858 | + | 7.75139i | −0.182238 | + | 0.560871i | −0.999890 | − | 0.0148421i | \(-0.995275\pi\) |
0.817652 | + | 0.575713i | \(0.195275\pi\) | |||||||
\(192\) | −3.70483 | + | 5.09926i | −0.267373 | + | 0.368007i | ||||
\(193\) | −2.56766 | + | 3.53408i | −0.184824 | + | 0.254389i | −0.891368 | − | 0.453281i | \(-0.850253\pi\) |
0.706544 | + | 0.707670i | \(0.250253\pi\) | |||||||
\(194\) | −1.33343 | + | 4.10388i | −0.0957348 | + | 0.294642i | ||||
\(195\) | −4.51780 | + | 5.43398i | −0.323526 | + | 0.389136i | ||||
\(196\) | −7.29283 | + | 5.29855i | −0.520917 | + | 0.378468i | ||||
\(197\) | − | 15.6525i | − | 1.11520i | −0.830111 | − | 0.557599i | \(-0.811723\pi\) | ||
0.830111 | − | 0.557599i | \(-0.188277\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.43830 | −0.101959 | −0.0509793 | − | 0.998700i | \(-0.516234\pi\) | ||||
−0.0509793 | + | 0.998700i | \(0.516234\pi\) | |||||||
\(200\) | 13.2416 | − | 2.45895i | 0.936323 | − | 0.173874i | ||||
\(201\) | 3.69531 | + | 11.3730i | 0.260647 | + | 0.802190i | ||||
\(202\) | 7.58168 | + | 2.46344i | 0.533445 | + | 0.173327i | ||||
\(203\) | 1.24438 | − | 1.71274i | 0.0873381 | − | 0.120211i | ||||
\(204\) | 13.6667 | + | 9.92947i | 0.956863 | + | 0.695202i | ||||
\(205\) | 18.2263 | − | 4.63227i | 1.27298 | − | 0.323532i | ||||
\(206\) | −3.35394 | − | 10.3224i | −0.233680 | − | 0.719194i | ||||
\(207\) | 0.0878138 | + | 0.120865i | 0.00610348 | + | 0.00840072i | ||||
\(208\) | 0.985756i | 0.0683499i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.58239 | + | 0.998799i | −0.109195 | + | 0.0689237i | ||||
\(211\) | 7.02332 | − | 5.10274i | 0.483505 | − | 0.351287i | −0.319176 | − | 0.947696i | \(-0.603406\pi\) |
0.802681 | + | 0.596408i | \(0.203406\pi\) | |||||||
\(212\) | −3.07234 | + | 0.998263i | −0.211009 | + | 0.0685610i | ||||
\(213\) | −19.7490 | − | 6.41684i | −1.35318 | − | 0.439674i | ||||
\(214\) | −3.63948 | − | 2.64424i | −0.248790 | − | 0.180756i | ||||
\(215\) | 21.2406 | + | 1.38847i | 1.44860 | + | 0.0946932i | ||||
\(216\) | −4.24988 | + | 13.0798i | −0.289168 | + | 0.889967i | ||||
\(217\) | −3.47292 | + | 1.12842i | −0.235757 | + | 0.0766020i | ||||
\(218\) | −8.77580 | − | 12.0789i | −0.594372 | − | 0.818083i | ||||
\(219\) | 12.0131 | 0.811770 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −12.7026 | −0.854472 | ||||||||
\(222\) | −6.09552 | − | 8.38977i | −0.409105 | − | 0.563084i | ||||
\(223\) | −5.99740 | + | 1.94867i | −0.401616 | + | 0.130493i | −0.502858 | − | 0.864369i | \(-0.667718\pi\) |
0.101243 | + | 0.994862i | \(0.467718\pi\) | |||||||
\(224\) | −1.06636 | + | 3.28190i | −0.0712489 | + | 0.219281i | ||||
\(225\) | −0.440259 | + | 0.239239i | −0.0293506 | + | 0.0159493i | ||||
\(226\) | −7.66379 | − | 5.56807i | −0.509787 | − | 0.370382i | ||||
\(227\) | 1.06215 | + | 0.345113i | 0.0704973 | + | 0.0229060i | 0.344053 | − | 0.938950i | \(-0.388200\pi\) |
−0.273556 | + | 0.961856i | \(0.588200\pi\) | |||||||
\(228\) | 5.19151 | − | 1.68682i | 0.343816 | − | 0.111713i | ||||
\(229\) | −3.39477 | + | 2.46644i | −0.224332 | + | 0.162987i | −0.694275 | − | 0.719710i | \(-0.744275\pi\) |
0.469942 | + | 0.882697i | \(0.344275\pi\) | |||||||
\(230\) | 1.42826 | + | 2.26278i | 0.0941767 | + | 0.149204i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.63094i | 0.632302i | ||||||||
\(233\) | 3.98487 | + | 5.48471i | 0.261058 | + | 0.359315i | 0.919345 | − | 0.393451i | \(-0.128719\pi\) |
−0.658288 | + | 0.752766i | \(0.728719\pi\) | |||||||
\(234\) | 0.0446164 | + | 0.137315i | 0.00291667 | + | 0.00897658i | ||||
\(235\) | 1.06394 | + | 4.18622i | 0.0694038 | + | 0.273079i | ||||
\(236\) | −0.0419817 | − | 0.0305015i | −0.00273277 | − | 0.00198548i | ||||
\(237\) | 4.68419 | − | 6.44723i | 0.304271 | − | 0.418793i | ||||
\(238\) | −3.19899 | − | 1.03941i | −0.207360 | − | 0.0673752i | ||||
\(239\) | 1.35908 | + | 4.18282i | 0.0879117 | + | 0.270564i | 0.985342 | − | 0.170593i | \(-0.0545682\pi\) |
−0.897430 | + | 0.441157i | \(0.854568\pi\) | |||||||
\(240\) | −0.800901 | + | 2.00849i | −0.0516979 | + | 0.129647i | ||||
\(241\) | 9.61218 | 0.619175 | 0.309587 | − | 0.950871i | \(-0.399809\pi\) | ||||
0.309587 | + | 0.950871i | \(0.399809\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 1.04101i | − | 0.0667807i | ||||||
\(244\) | −3.77460 | + | 2.74241i | −0.241644 | + | 0.175565i | ||||
\(245\) | 9.50554 | − | 11.4332i | 0.607287 | − | 0.730441i | ||||
\(246\) | 3.67314 | − | 11.3048i | 0.234191 | − | 0.720765i | ||||
\(247\) | −2.41264 | + | 3.32071i | −0.153513 | + | 0.211292i | ||||
\(248\) | 9.76431 | − | 13.4394i | 0.620035 | − | 0.853404i | ||||
\(249\) | 3.23338 | − | 9.95131i | 0.204907 | − | 0.630639i | ||||
\(250\) | −8.14812 | + | 3.76149i | −0.515333 | + | 0.237898i | ||||
\(251\) | −10.8575 | + | 7.88843i | −0.685319 | + | 0.497913i | −0.875118 | − | 0.483910i | \(-0.839216\pi\) |
0.189799 | + | 0.981823i | \(0.439216\pi\) | |||||||
\(252\) | − | 0.0804405i | − | 0.00506727i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 12.8886 | 0.808704 | ||||||||
\(255\) | −25.8818 | − | 10.3206i | −1.62078 | − | 0.646299i | ||||
\(256\) | −4.39092 | − | 13.5138i | −0.274432 | − | 0.844616i | ||||
\(257\) | −10.2879 | − | 3.34275i | −0.641743 | − | 0.208515i | −0.0299732 | − | 0.999551i | \(-0.509542\pi\) |
−0.611770 | + | 0.791036i | \(0.709542\pi\) | |||||||
\(258\) | 7.90815 | − | 10.8846i | 0.492340 | − | 0.677648i | ||||
\(259\) | −3.51479 | − | 2.55364i | −0.218398 | − | 0.158676i | ||||
\(260\) | −1.34023 | − | 5.27334i | −0.0831178 | − | 0.327039i | ||||
\(261\) | −0.110724 | − | 0.340772i | −0.00685362 | − | 0.0210933i | ||||
\(262\) | 8.50662 | + | 11.7084i | 0.525540 | + | 0.723344i | ||||
\(263\) | 24.6351i | 1.51906i | 0.650471 | + | 0.759531i | \(0.274572\pi\) | ||||
−0.650471 | + | 0.759531i | \(0.725428\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.50584 | − | 2.84407i | 0.276791 | − | 0.174710i | ||||
\(266\) | −0.879314 | + | 0.638859i | −0.0539142 | + | 0.0391709i | ||||
\(267\) | −10.4053 | + | 3.38089i | −0.636795 | + | 0.206907i | ||||
\(268\) | −8.75659 | − | 2.84519i | −0.534894 | − | 0.173797i | ||||
\(269\) | −3.88410 | − | 2.82196i | −0.236818 | − | 0.172058i | 0.463047 | − | 0.886334i | \(-0.346756\pi\) |
−0.699864 | + | 0.714276i | \(0.746756\pi\) | |||||||
\(270\) | 0.597785 | − | 9.14479i | 0.0363800 | − | 0.556534i | ||||
\(271\) | −7.20947 | + | 22.1885i | −0.437944 | + | 1.34785i | 0.452095 | + | 0.891970i | \(0.350677\pi\) |
−0.890039 | + | 0.455884i | \(0.849323\pi\) | |||||||
\(272\) | −3.69653 | + | 1.20108i | −0.224135 | + | 0.0728259i | ||||
\(273\) | 1.09989 | + | 1.51387i | 0.0665684 | + | 0.0916236i | ||||
\(274\) | −3.23654 | −0.195527 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −3.55855 | −0.214200 | ||||||||
\(277\) | −12.8709 | − | 17.7153i | −0.773337 | − | 1.06441i | −0.995986 | − | 0.0895089i | \(-0.971470\pi\) |
0.222649 | − | 0.974899i | \(-0.428530\pi\) | |||||||
\(278\) | −6.05761 | + | 1.96824i | −0.363312 | + | 0.118047i | ||||
\(279\) | −0.190983 | + | 0.587785i | −0.0114339 | + | 0.0351898i | ||||
\(280\) | 0.232627 | − | 3.55868i | 0.0139021 | − | 0.212672i | ||||
\(281\) | 12.7626 | + | 9.27257i | 0.761353 | + | 0.553155i | 0.899325 | − | 0.437281i | \(-0.144058\pi\) |
−0.137972 | + | 0.990436i | \(0.544058\pi\) | |||||||
\(282\) | 2.59647 | + | 0.843646i | 0.154618 | + | 0.0502384i | ||||
\(283\) | −21.5026 | + | 6.98661i | −1.27819 | + | 0.415311i | −0.867944 | − | 0.496662i | \(-0.834559\pi\) |
−0.410251 | + | 0.911973i | \(0.634559\pi\) | |||||||
\(284\) | 12.9347 | − | 9.39760i | 0.767532 | − | 0.557645i | ||||
\(285\) | −7.61377 | + | 4.80578i | −0.451001 | + | 0.284670i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 4.97971i | − | 0.293943i | ||||||
\(288\) | 0.343291 | + | 0.472500i | 0.0202286 | + | 0.0278423i | ||||
\(289\) | −10.2240 | − | 31.4662i | −0.601412 | − | 1.85096i | ||||
\(290\) | −1.58080 | − | 6.21988i | −0.0928277 | − | 0.365244i | ||||
\(291\) | 7.65754 | + | 5.56353i | 0.448893 | + | 0.326140i | ||||
\(292\) | −5.43668 | + | 7.48294i | −0.318157 | + | 0.437906i | ||||
\(293\) | −12.6106 | − | 4.09744i | −0.736721 | − | 0.239375i | −0.0834635 | − | 0.996511i | \(-0.526598\pi\) |
−0.653258 | + | 0.757136i | \(0.726598\pi\) | |||||||
\(294\) | −2.90412 | − | 8.93795i | −0.169372 | − | 0.521272i | ||||
\(295\) | 0.0795039 | + | 0.0317028i | 0.00462890 | + | 0.00184581i | ||||
\(296\) | 19.7641 | 1.14876 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0344i | 0.581280i | ||||||||
\(299\) | 2.16480 | − | 1.57282i | 0.125194 | − | 0.0909585i | ||||
\(300\) | 1.55371 | − | 11.8334i | 0.0897035 | − | 0.683202i | ||||
\(301\) | 1.74176 | − | 5.36058i | 0.100393 | − | 0.308978i | ||||
\(302\) | −3.96441 | + | 5.45655i | −0.228126 | + | 0.313989i | ||||
\(303\) | 10.2783 | − | 14.1468i | 0.590472 | − | 0.812715i | ||||
\(304\) | −0.388106 | + | 1.19447i | −0.0222594 | + | 0.0685074i | ||||
\(305\) | 4.91984 | − | 5.91756i | 0.281709 | − | 0.338839i | ||||
\(306\) | −0.460562 | + | 0.334618i | −0.0263286 | + | 0.0191288i | ||||
\(307\) | − | 10.0161i | − | 0.571650i | −0.958282 | − | 0.285825i | \(-0.907732\pi\) | ||
0.958282 | − | 0.285825i | \(-0.0922676\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −23.8076 | −1.35437 | ||||||||
\(310\) | −4.10010 | + | 10.2822i | −0.232870 | + | 0.583988i | ||||
\(311\) | −1.05321 | − | 3.24145i | −0.0597220 | − | 0.183806i | 0.916745 | − | 0.399474i | \(-0.130807\pi\) |
−0.976467 | + | 0.215668i | \(0.930807\pi\) | |||||||
\(312\) | −8.09603 | − | 2.63056i | −0.458348 | − | 0.148926i | ||||
\(313\) | −14.4012 | + | 19.8216i | −0.814005 | + | 1.12038i | 0.176688 | + | 0.984267i | \(0.443462\pi\) |
−0.990693 | + | 0.136115i | \(0.956538\pi\) | |||||||
\(314\) | 9.08888 | + | 6.60346i | 0.512915 | + | 0.372655i | ||||
\(315\) | 0.0326819 | + | 0.128592i | 0.00184142 | + | 0.00724531i | ||||
\(316\) | 1.89608 | + | 5.83555i | 0.106663 | + | 0.328275i | ||||
\(317\) | −4.10774 | − | 5.65382i | −0.230714 | − | 0.317550i | 0.677927 | − | 0.735129i | \(-0.262879\pi\) |
−0.908641 | + | 0.417579i | \(0.862879\pi\) | |||||||
\(318\) | − | 3.36787i | − | 0.188861i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 4.27254 | + | 6.76895i | 0.238842 | + | 0.378396i | ||||
\(321\) | −7.98330 | + | 5.80020i | −0.445584 | + | 0.323736i | ||||
\(322\) | 0.673874 | − | 0.218955i | 0.0375535 | − | 0.0122019i | ||||
\(323\) | −15.3921 | − | 5.00121i | −0.856441 | − | 0.278275i | ||||
\(324\) | 10.1896 | + | 7.40317i | 0.566088 | + | 0.411287i | ||||
\(325\) | 4.28498 | + | 7.88541i | 0.237688 | + | 0.437404i | ||||
\(326\) | 2.93725 | − | 9.03993i | 0.162679 | − | 0.500675i | ||||
\(327\) | −31.1471 | + | 10.1203i | −1.72244 | + | 0.559654i | ||||
\(328\) | 13.3155 | + | 18.3272i | 0.735226 | + | 1.01195i | ||||
\(329\) | 1.14374 | 0.0630563 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.64321 | 0.310179 | 0.155089 | − | 0.987900i | \(-0.450433\pi\) | ||||
0.155089 | + | 0.987900i | \(0.450433\pi\) | |||||||
\(332\) | 4.73535 | + | 6.51765i | 0.259886 | + | 0.357703i | ||||
\(333\) | −0.699314 | + | 0.227221i | −0.0383221 | + | 0.0124516i | ||||
\(334\) | 2.16453 | − | 6.66175i | 0.118438 | − | 0.364515i | ||||
\(335\) | 15.1542 | + | 0.990611i | 0.827961 | + | 0.0541229i | ||||
\(336\) | 0.463215 | + | 0.336545i | 0.0252704 | + | 0.0183600i | ||||
\(337\) | −21.5094 | − | 6.98884i | −1.17169 | − | 0.380706i | −0.342419 | − | 0.939547i | \(-0.611246\pi\) |
−0.829275 | + | 0.558841i | \(0.811246\pi\) | |||||||
\(338\) | −7.46493 | + | 2.42550i | −0.406039 | + | 0.131930i | ||||
\(339\) | −16.8107 | + | 12.2137i | −0.913033 | + | 0.663357i | ||||
\(340\) | 18.1418 | − | 11.4510i | 0.983876 | − | 0.621018i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0.183955i | 0.00994713i | ||||||||
\(343\) | −4.75040 | − | 6.53836i | −0.256497 | − | 0.353038i | ||||
\(344\) | 7.92360 | + | 24.3863i | 0.427212 | + | 1.31482i | ||||
\(345\) | 5.68867 | − | 1.44579i | 0.306268 | − | 0.0778388i | ||||
\(346\) | −5.96056 | − | 4.33060i | −0.320442 | − | 0.232815i | ||||
\(347\) | 0.107209 | − | 0.147560i | 0.00575527 | − | 0.00792145i | −0.806130 | − | 0.591739i | \(-0.798442\pi\) |
0.811885 | + | 0.583817i | \(0.198442\pi\) | |||||||
\(348\) | 8.11696 | + | 2.63736i | 0.435115 | + | 0.141377i | ||||
\(349\) | −4.76729 | − | 14.6722i | −0.255187 | − | 0.785385i | −0.993793 | − | 0.111248i | \(-0.964515\pi\) |
0.738606 | − | 0.674138i | \(-0.235485\pi\) | |||||||
\(350\) | 0.433877 | + | 2.33646i | 0.0231917 | + | 0.124889i | ||||
\(351\) | −9.16431 | −0.489155 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 23.9103i | 1.27262i | 0.771435 | + | 0.636308i | \(0.219539\pi\) | ||||
−0.771435 | + | 0.636308i | \(0.780461\pi\) | |||||||
\(354\) | 0.0437676 | − | 0.0317990i | 0.00232622 | − | 0.00169010i | ||||
\(355\) | −16.8592 | + | 20.2781i | −0.894792 | + | 1.07625i | ||||
\(356\) | 2.60310 | − | 8.01152i | 0.137964 | − | 0.424610i | ||||
\(357\) | −4.33679 | + | 5.96907i | −0.229527 | + | 0.315917i | ||||
\(358\) | −0.683265 | + | 0.940433i | −0.0361117 | + | 0.0497035i | ||||
\(359\) | −2.70926 | + | 8.33824i | −0.142989 | + | 0.440075i | −0.996747 | − | 0.0805950i | \(-0.974318\pi\) |
0.853758 | + | 0.520670i | \(0.174318\pi\) | |||||||
\(360\) | −0.464129 | − | 0.385876i | −0.0244618 | − | 0.0203374i | ||||
\(361\) | 11.1405 | − | 8.09401i | 0.586340 | − | 0.426001i | ||||
\(362\) | 0.636943i | 0.0334770i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.44076 | −0.0755161 | ||||||||
\(365\) | 5.65081 | − | 14.1710i | 0.295777 | − | 0.741745i | ||||
\(366\) | −1.50310 | − | 4.62608i | −0.0785685 | − | 0.241809i | ||||
\(367\) | 5.11889 | + | 1.66323i | 0.267204 | + | 0.0868198i | 0.439555 | − | 0.898216i | \(-0.355136\pi\) |
−0.172351 | + | 0.985036i | \(0.555136\pi\) | |||||||
\(368\) | 0.481252 | − | 0.662387i | 0.0250870 | − | 0.0345293i | ||||
\(369\) | −0.681845 | − | 0.495390i | −0.0354954 | − | 0.0257890i | ||||
\(370\) | −12.7641 | + | 3.24403i | −0.663573 | + | 0.168649i | ||||
\(371\) | −0.436001 | − | 1.34187i | −0.0226360 | − | 0.0696665i | ||||
\(372\) | −8.65287 | − | 11.9097i | −0.448631 | − | 0.617487i | ||||
\(373\) | − | 3.22450i | − | 0.166958i | −0.996510 | − | 0.0834792i | \(-0.973397\pi\) | ||
0.996510 | − | 0.0834792i | \(-0.0266032\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.32400 | + | 19.5480i | 0.120011 | + | 1.00946i | ||||
\(376\) | −4.20939 | + | 3.05830i | −0.217083 | + | 0.157720i | ||||
\(377\) | −6.10351 | + | 1.98315i | −0.314347 | + | 0.102138i | ||||
\(378\) | −2.30791 | − | 0.749884i | −0.118706 | − | 0.0385699i | ||||
\(379\) | −15.9080 | − | 11.5578i | −0.817139 | − | 0.593687i | 0.0987522 | − | 0.995112i | \(-0.468515\pi\) |
−0.915892 | + | 0.401425i | \(0.868515\pi\) | |||||||
\(380\) | 0.452191 | − | 6.91752i | 0.0231969 | − | 0.354861i | ||||
\(381\) | 8.73639 | − | 26.8878i | 0.447579 | − | 1.37751i | ||||
\(382\) | 6.22203 | − | 2.02166i | 0.318347 | − | 0.103437i | ||||
\(383\) | 16.4434 | + | 22.6323i | 0.840216 | + | 1.15646i | 0.985934 | + | 0.167132i | \(0.0534507\pi\) |
−0.145718 | + | 0.989326i | \(0.546549\pi\) | |||||||
\(384\) | −15.4639 | −0.789139 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.50648 | 0.178475 | ||||||||
\(387\) | −0.560723 | − | 0.771769i | −0.0285031 | − | 0.0392312i | ||||
\(388\) | −6.93103 | + | 2.25203i | −0.351870 | + | 0.114329i | ||||
\(389\) | −4.02958 | + | 12.4018i | −0.204308 | + | 0.628795i | 0.795433 | + | 0.606041i | \(0.207243\pi\) |
−0.999741 | + | 0.0227539i | \(0.992757\pi\) | |||||||
\(390\) | 5.66038 | + | 0.370012i | 0.286624 | + | 0.0187363i | ||||
\(391\) | 8.53564 | + | 6.20151i | 0.431666 | + | 0.313624i | ||||
\(392\) | 17.0342 | + | 5.53475i | 0.860358 | + | 0.279547i | ||||
\(393\) | 30.1917 | − | 9.80987i | 1.52297 | − | 0.494843i | ||||
\(394\) | −10.1647 | + | 7.38510i | −0.512091 | + | 0.372056i | ||||
\(395\) | −5.40197 | − | 8.55830i | −0.271803 | − | 0.430615i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 1.82243i | − | 0.0914651i | −0.998954 | − | 0.0457325i | \(-0.985438\pi\) | ||
0.998954 | − | 0.0457325i | \(-0.0145622\pi\) | |||||||
\(398\) | 0.678612 | + | 0.934030i | 0.0340158 | + | 0.0468187i | ||||
\(399\) | 0.736735 | + | 2.26744i | 0.0368829 | + | 0.113514i | ||||
\(400\) | 1.99254 | + | 1.88953i | 0.0996270 | + | 0.0944767i | ||||
\(401\) | −4.35320 | − | 3.16278i | −0.217388 | − | 0.157942i | 0.473762 | − | 0.880653i | \(-0.342896\pi\) |
−0.691150 | + | 0.722711i | \(0.742896\pi\) | |||||||
\(402\) | 5.64209 | − | 7.76568i | 0.281402 | − | 0.387317i | ||||
\(403\) | 10.5277 | + | 3.42067i | 0.524423 | + | 0.170395i | ||||
\(404\) | 4.16048 | + | 12.8047i | 0.206992 | + | 0.637055i | ||||
\(405\) | −19.2968 | − | 7.69475i | −0.958866 | − | 0.382355i | ||||
\(406\) | −1.69936 | −0.0843379 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 33.5648i | − | 1.66171i | ||||||
\(409\) | 29.6764 | − | 21.5612i | 1.46740 | − | 1.06613i | 0.486049 | − | 0.873931i | \(-0.338438\pi\) |
0.981356 | − | 0.192201i | \(-0.0615624\pi\) | |||||||
\(410\) | −11.6076 | − | 9.65056i | −0.573260 | − | 0.476607i | ||||
\(411\) | −2.19385 | + | 6.75197i | −0.108215 | + | 0.333050i | ||||
\(412\) | 10.7744 | − | 14.8297i | 0.530819 | − | 0.730609i | ||||
\(413\) | 0.0133218 | − | 0.0183359i | 0.000655522 | − | 0.000902249i | ||||
\(414\) | 0.0370578 | − | 0.114052i | 0.00182129 | − | 0.00560535i | ||||
\(415\) | −10.2179 | − | 8.49516i | −0.501579 | − | 0.417011i | ||||
\(416\) | 8.46287 | − | 6.14863i | 0.414926 | − | 0.301462i | ||||
\(417\) | 13.9713i | 0.684180i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.86630 | −0.140028 | −0.0700141 | − | 0.997546i | \(-0.522304\pi\) | ||||
−0.0700141 | + | 0.997546i | \(0.522304\pi\) | |||||||
\(420\) | −2.93556 | − | 1.17058i | −0.143240 | − | 0.0571183i | ||||
\(421\) | 1.43994 | + | 4.43169i | 0.0701785 | + | 0.215987i | 0.979994 | − | 0.199025i | \(-0.0637774\pi\) |
−0.909816 | + | 0.415012i | \(0.863777\pi\) | |||||||
\(422\) | −6.62741 | − | 2.15338i | −0.322617 | − | 0.104825i | ||||
\(423\) | 0.113781 | − | 0.156606i | 0.00553222 | − | 0.00761445i | ||||
\(424\) | 5.19275 | + | 3.77275i | 0.252182 | + | 0.183221i | ||||
\(425\) | −24.3489 | + | 25.6763i | −1.18110 | + | 1.24548i | ||||
\(426\) | 5.15079 | + | 15.8525i | 0.249556 | + | 0.768056i | ||||
\(427\) | −1.19777 | − | 1.64859i | −0.0579642 | − | 0.0797809i | ||||
\(428\) | − | 7.59774i | − | 0.367250i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.11996 | − | 14.4487i | −0.439803 | − | 0.696778i | ||||
\(431\) | 16.8026 | − | 12.2078i | 0.809351 | − | 0.588028i | −0.104291 | − | 0.994547i | \(-0.533257\pi\) |
0.913642 | + | 0.406519i | \(0.133257\pi\) | |||||||
\(432\) | −2.66686 | + | 0.866515i | −0.128309 | + | 0.0416902i | ||||
\(433\) | 12.1708 | + | 3.95454i | 0.584893 | + | 0.190043i | 0.586491 | − | 0.809955i | \(-0.300509\pi\) |
−0.00159840 | + | 0.999999i | \(0.500509\pi\) | |||||||
\(434\) | 2.37136 | + | 1.72290i | 0.113829 | + | 0.0827017i | ||||
\(435\) | −14.0472 | − | 0.918252i | −0.673513 | − | 0.0440268i | ||||
\(436\) | 7.79208 | − | 23.9815i | 0.373173 | − | 1.14851i | ||||
\(437\) | 3.24239 | − | 1.05352i | 0.155104 | − | 0.0503965i | ||||
\(438\) | −5.66796 | − | 7.80128i | −0.270826 | − | 0.372759i | ||||
\(439\) | −10.6208 | −0.506905 | −0.253452 | − | 0.967348i | \(-0.581566\pi\) | ||||
−0.253452 | + | 0.967348i | \(0.581566\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.666354 | −0.0317312 | ||||||||
\(442\) | 5.99329 | + | 8.24906i | 0.285072 | + | 0.392368i | ||||
\(443\) | 6.27596 | − | 2.03918i | 0.298180 | − | 0.0968846i | −0.156106 | − | 0.987740i | \(-0.549894\pi\) |
0.454286 | + | 0.890856i | \(0.349894\pi\) | |||||||
\(444\) | 5.41224 | − | 16.6572i | 0.256854 | − | 0.790514i | ||||
\(445\) | −0.906324 | + | 13.8648i | −0.0429639 | + | 0.657253i | ||||
\(446\) | 4.09512 | + | 2.97528i | 0.193910 | + | 0.140884i | ||||
\(447\) | 20.9335 | + | 6.80172i | 0.990122 | + | 0.321710i | ||||
\(448\) | 2.01585 | − | 0.654988i | 0.0952397 | − | 0.0309453i | ||||
\(449\) | 11.0253 | − | 8.01037i | 0.520317 | − | 0.378033i | −0.296406 | − | 0.955062i | \(-0.595788\pi\) |
0.816723 | + | 0.577029i | \(0.195788\pi\) | |||||||
\(450\) | 0.363082 | + | 0.173026i | 0.0171159 | + | 0.00815654i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 15.9988i | − | 0.752522i | ||||||
\(453\) | 8.69605 | + | 11.9691i | 0.408576 | + | 0.562356i | ||||
\(454\) | −0.277022 | − | 0.852586i | −0.0130013 | − | 0.0400138i | ||||
\(455\) | 2.30318 | − | 0.585360i | 0.107975 | − | 0.0274421i | ||||
\(456\) | −8.77449 | − | 6.37504i | −0.410903 | − | 0.298539i | ||||
\(457\) | 7.93503 | − | 10.9216i | 0.371185 | − | 0.510893i | −0.582037 | − | 0.813162i | \(-0.697744\pi\) |
0.953223 | + | 0.302269i | \(0.0977442\pi\) | |||||||
\(458\) | 3.20340 | + | 1.04085i | 0.149685 | + | 0.0486356i | ||||
\(459\) | −11.1661 | − | 34.3656i | −0.521188 | − | 1.60405i | ||||
\(460\) | −1.67390 | + | 4.19778i | −0.0780459 | + | 0.195722i | ||||
\(461\) | −11.3217 | −0.527303 | −0.263652 | − | 0.964618i | \(-0.584927\pi\) | ||||
−0.263652 | + | 0.964618i | \(0.584927\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.82990i | 0.224464i | 0.993682 | + | 0.112232i | \(0.0358001\pi\) | ||||
−0.993682 | + | 0.112232i | \(0.964200\pi\) | |||||||
\(464\) | −1.58864 | + | 1.15421i | −0.0737507 | + | 0.0535830i | ||||
\(465\) | 18.6711 | + | 15.5231i | 0.865854 | + | 0.719868i | ||||
\(466\) | 1.68163 | − | 5.17553i | 0.0779001 | − | 0.239752i | ||||
\(467\) | 14.1170 | − | 19.4304i | 0.653257 | − | 0.899131i | −0.345978 | − | 0.938243i | \(-0.612453\pi\) |
0.999235 | + | 0.0391117i | \(0.0124528\pi\) | |||||||
\(468\) | −0.143329 | + | 0.197275i | −0.00662538 | + | 0.00911905i | ||||
\(469\) | 1.24266 | − | 3.82452i | 0.0573808 | − | 0.176600i | ||||
\(470\) | 2.21654 | − | 2.66604i | 0.102241 | − | 0.122975i | ||||
\(471\) | 19.9367 | − | 14.4849i | 0.918635 | − | 0.667427i | ||||
\(472\) | 0.103105i | 0.00474579i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −6.39688 | −0.293818 | ||||||||
\(475\) | 2.08763 | + | 11.2420i | 0.0957869 | + | 0.515819i | ||||
\(476\) | −1.75546 | − | 5.40276i | −0.0804615 | − | 0.247635i | ||||
\(477\) | −0.227110 | − | 0.0737924i | −0.0103986 | − | 0.00337872i | ||||
\(478\) | 2.07508 | − | 2.85610i | 0.0949119 | − | 0.130635i | ||||
\(479\) | −34.9698 | − | 25.4070i | −1.59781 | − | 1.16088i | −0.891547 | − | 0.452929i | \(-0.850379\pi\) |
−0.706264 | − | 0.707949i | \(-0.749621\pi\) | |||||||
\(480\) | 22.2388 | − | 5.65205i | 1.01506 | − | 0.257980i | ||||
\(481\) | 4.06971 | + | 12.5253i | 0.185563 | + | 0.571104i | ||||
\(482\) | −4.53517 | − | 6.24212i | −0.206571 | − | 0.284321i | ||||
\(483\) | − | 1.55423i | − | 0.0707199i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.1649 | − | 6.41606i | 0.461565 | − | 0.291338i | ||||
\(486\) | −0.676027 | + | 0.491163i | −0.0306652 | + | 0.0222796i | ||||
\(487\) | 39.9072 | − | 12.9666i | 1.80837 | − | 0.587574i | 0.808367 | − | 0.588678i | \(-0.200352\pi\) |
0.999999 | + | 0.00110438i | \(0.000351534\pi\) | |||||||
\(488\) | 8.81651 | + | 2.86466i | 0.399105 | + | 0.129677i | ||||
\(489\) | −16.8678 | − | 12.2552i | −0.762790 | − | 0.554199i | ||||
\(490\) | −11.9095 | − | 0.778513i | −0.538018 | − | 0.0351697i | ||||
\(491\) | 2.79964 | − | 8.61641i | 0.126346 | − | 0.388853i | −0.867798 | − | 0.496917i | \(-0.834465\pi\) |
0.994144 | + | 0.108064i | \(0.0344652\pi\) | |||||||
\(492\) | 19.0925 | − | 6.20354i | 0.860758 | − | 0.279677i | ||||
\(493\) | −14.8734 | − | 20.4715i | −0.669865 | − | 0.921990i | ||||
\(494\) | 3.29478 | 0.148239 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.38705 | 0.152083 | ||||||||
\(497\) | 4.10449 | + | 5.64934i | 0.184111 | + | 0.253408i | ||||
\(498\) | −7.98791 | + | 2.59543i | −0.357947 | + | 0.116304i | ||||
\(499\) | −9.35682 | + | 28.7973i | −0.418869 | + | 1.28915i | 0.489875 | + | 0.871792i | \(0.337042\pi\) |
−0.908744 | + | 0.417353i | \(0.862958\pi\) | |||||||
\(500\) | −13.2282 | − | 7.39908i | −0.591583 | − | 0.330897i | ||||
\(501\) | −12.4303 | − | 9.03116i | −0.555346 | − | 0.403483i | ||||
\(502\) | 10.2454 | + | 3.32895i | 0.457277 | + | 0.148578i | ||||
\(503\) | −17.1797 | + | 5.58203i | −0.766006 | + | 0.248890i | −0.665854 | − | 0.746082i | \(-0.731933\pi\) |
−0.100152 | + | 0.994972i | \(0.531933\pi\) | |||||||
\(504\) | −0.129303 | + | 0.0939443i | −0.00575962 | + | 0.00418461i | ||||
\(505\) | −11.8533 | − | 18.7791i | −0.527464 | − | 0.835658i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.2172i | 0.764642i | ||||||||
\(508\) | 12.7946 | + | 17.6103i | 0.567670 | + | 0.781331i | ||||
\(509\) | 7.69937 | + | 23.6962i | 0.341269 | + | 1.05032i | 0.963551 | + | 0.267524i | \(0.0862056\pi\) |
−0.622282 | + | 0.782793i | \(0.713794\pi\) | |||||||
\(510\) | 5.50925 | + | 21.6769i | 0.243954 | + | 0.959871i | ||||
\(511\) | −3.26824 | − | 2.37452i | −0.144579 | − | 0.105043i | ||||
\(512\) | 3.62042 | − | 4.98307i | 0.160001 | − | 0.220223i | ||||
\(513\) | −11.1046 | − | 3.60811i | −0.490282 | − | 0.159302i | ||||
\(514\) | 2.68322 | + | 8.25811i | 0.118352 | + | 0.364249i | ||||
\(515\) | −11.1988 | + | 28.0842i | −0.493479 | + | 1.23754i | ||||
\(516\) | 22.7226 | 1.00031 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 3.48734i | 0.153225i | ||||||||
\(519\) | −13.0747 | + | 9.49929i | −0.573914 | + | 0.416973i | ||||
\(520\) | −6.91136 | + | 8.31295i | −0.303083 | + | 0.364547i | ||||
\(521\) | 11.2121 | − | 34.5073i | 0.491211 | − | 1.51179i | −0.331568 | − | 0.943431i | \(-0.607578\pi\) |
0.822779 | − | 0.568362i | \(-0.192422\pi\) | |||||||
\(522\) | −0.169055 | + | 0.232685i | −0.00739936 | + | 0.0101843i | ||||
\(523\) | −14.5224 | + | 19.9884i | −0.635021 | + | 0.874032i | −0.998338 | − | 0.0576339i | \(-0.981644\pi\) |
0.363316 | + | 0.931666i | \(0.381644\pi\) | |||||||
\(524\) | −7.55306 | + | 23.2459i | −0.329957 | + | 1.01550i | ||||
\(525\) | 5.16835 | + | 0.678597i | 0.225565 | + | 0.0296164i | ||||
\(526\) | 15.9979 | − | 11.6232i | 0.697543 | − | 0.506795i | ||||
\(527\) | 43.6462i | 1.90126i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.7775 | 0.903369 | ||||||||
\(530\) | −3.97285 | − | 1.58420i | −0.172569 | − | 0.0688135i | ||||
\(531\) | −0.00118536 | − | 0.00364817i | −5.14403e−5 | − | 0.000158317i | ||||
\(532\) | −1.74580 | − | 0.567246i | −0.0756901 | − | 0.0245932i | ||||
\(533\) | −8.87284 | + | 12.2124i | −0.384325 | + | 0.528979i | ||||
\(534\) | 7.10493 | + | 5.16203i | 0.307460 | + | 0.223383i | ||||
\(535\) | 3.08686 | + | 12.1457i | 0.133457 | + | 0.525104i | ||||
\(536\) | 5.65312 | + | 17.3985i | 0.244177 | + | 0.751501i | ||||
\(537\) | 1.49876 | + | 2.06287i | 0.0646763 | + | 0.0890193i | ||||
\(538\) | 3.85376i | 0.166148i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.0884 | − | 8.26132i | 0.563233 | − | 0.355511i | ||||
\(541\) | −10.1467 | + | 7.37198i | −0.436239 | + | 0.316946i | −0.784139 | − | 0.620586i | \(-0.786895\pi\) |
0.347900 | + | 0.937532i | \(0.386895\pi\) | |||||||
\(542\) | 17.8107 | − | 5.78704i | 0.765034 | − | 0.248574i | ||||
\(543\) | 1.32877 | + | 0.431744i | 0.0570230 | + | 0.0185279i | ||||
\(544\) | 33.3685 | + | 24.2436i | 1.43066 | + | 1.03944i | ||||
\(545\) | −2.71297 | + | 41.5025i | −0.116211 | + | 1.77777i | ||||
\(546\) | 0.464158 | − | 1.42853i | 0.0198641 | − | 0.0611355i | ||||
\(547\) | 29.2361 | − | 9.49940i | 1.25005 | − | 0.406165i | 0.392110 | − | 0.919919i | \(-0.371745\pi\) |
0.857938 | + | 0.513754i | \(0.171745\pi\) | |||||||
\(548\) | −3.21294 | − | 4.42223i | −0.137250 | − | 0.188908i | ||||
\(549\) | −0.344889 | −0.0147195 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.17659 | −0.348334 | ||||||||
\(552\) | 4.15594 | + | 5.72016i | 0.176889 | + | 0.243466i | ||||
\(553\) | −2.54873 | + | 0.828132i | −0.108383 | + | 0.0352157i | ||||
\(554\) | −5.43157 | + | 16.7167i | −0.230765 | + | 0.710222i | ||||
\(555\) | −1.88438 | + | 28.8269i | −0.0799877 | + | 1.22364i | ||||
\(556\) | −8.70273 | − | 6.32290i | −0.369078 | − | 0.268151i | ||||
\(557\) | −12.7721 | − | 4.14990i | −0.541171 | − | 0.175837i | 0.0256608 | − | 0.999671i | \(-0.491831\pi\) |
−0.566832 | + | 0.823834i | \(0.691831\pi\) | |||||||
\(558\) | 0.471815 | − | 0.153302i | 0.0199735 | − | 0.00648979i | ||||
\(559\) | −13.8230 | + | 10.0430i | −0.584652 | + | 0.424774i | ||||
\(560\) | 0.614889 | − | 0.388116i | 0.0259838 | − | 0.0164009i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 12.6629i | − | 0.534154i | ||||||
\(563\) | −17.9510 | − | 24.7075i | −0.756546 | − | 1.04130i | −0.997494 | − | 0.0707576i | \(-0.977458\pi\) |
0.240948 | − | 0.970538i | \(-0.422542\pi\) | |||||||
\(564\) | 1.42483 | + | 4.38517i | 0.0599961 | + | 0.184649i | ||||
\(565\) | 6.50011 | + | 25.5756i | 0.273462 | + | 1.07597i | ||||
\(566\) | 14.6823 | + | 10.6673i | 0.617143 | + | 0.448381i | ||||
\(567\) | −3.23340 | + | 4.45039i | −0.135790 | + | 0.186899i | ||||
\(568\) | −30.2122 | − | 9.81652i | −1.26767 | − | 0.411892i | ||||
\(569\) | 7.94804 | + | 24.4616i | 0.333199 | + | 1.02548i | 0.967602 | + | 0.252479i | \(0.0812460\pi\) |
−0.634403 | + | 0.773003i | \(0.718754\pi\) | |||||||
\(570\) | 6.71315 | + | 2.67692i | 0.281183 | + | 0.112124i | ||||
\(571\) | 27.1115 | 1.13458 | 0.567291 | − | 0.823518i | \(-0.307992\pi\) | ||||
0.567291 | + | 0.823518i | \(0.307992\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 14.3506i | − | 0.599504i | ||||||
\(574\) | −3.23381 | + | 2.34950i | −0.134977 | + | 0.0980662i | ||||
\(575\) | 0.970379 | − | 7.39062i | 0.0404676 | − | 0.308210i | ||||
\(576\) | 0.110856 | − | 0.341178i | 0.00461898 | − | 0.0142158i | ||||
\(577\) | 1.68703 | − | 2.32200i | 0.0702321 | − | 0.0966662i | −0.772456 | − | 0.635068i | \(-0.780972\pi\) |
0.842688 | + | 0.538402i | \(0.180972\pi\) | |||||||
\(578\) | −15.6103 | + | 21.4857i | −0.649301 | + | 0.893686i | ||||
\(579\) | 2.37682 | − | 7.31511i | 0.0987773 | − | 0.304005i | ||||
\(580\) | 6.92922 | − | 8.33443i | 0.287720 | − | 0.346069i | ||||
\(581\) | −2.84664 | + | 2.06821i | −0.118099 | + | 0.0858037i | ||||
\(582\) | − | 7.59774i | − | 0.314936i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 18.3777 | 0.760476 | ||||||||
\(585\) | 0.148974 | − | 0.373595i | 0.00615932 | − | 0.0154463i | ||||
\(586\) | 3.28901 | + | 10.1225i | 0.135868 | + | 0.418159i | ||||
\(587\) | 42.6416 | + | 13.8551i | 1.76001 | + | 0.571860i | 0.997201 | − | 0.0747690i | \(-0.0238220\pi\) |
0.762804 | + | 0.646629i | \(0.223822\pi\) | |||||||
\(588\) | 9.32939 | − | 12.8408i | 0.384737 | − | 0.529546i | ||||
\(589\) | 11.4100 | + | 8.28982i | 0.470139 | + | 0.341576i | ||||
\(590\) | −0.0169234 | − | 0.0665874i | −0.000696725 | − | 0.00274136i | ||||
\(591\) | 8.51654 | + | 26.2112i | 0.350324 | + | 1.07819i | ||||
\(592\) | 2.36861 | + | 3.26012i | 0.0973494 | + | 0.133990i | ||||
\(593\) | − | 6.09322i | − | 0.250219i | −0.992143 | − | 0.125109i | \(-0.960072\pi\) | ||
0.992143 | − | 0.125109i | \(-0.0399282\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00133 | + | 7.92358i | 0.205035 | + | 0.324835i | ||||
\(596\) | −13.7105 | + | 9.96127i | −0.561604 | + | 0.408029i | ||||
\(597\) | 2.40853 | − | 0.782579i | 0.0985746 | − | 0.0320288i | ||||
\(598\) | −2.04277 | − | 0.663736i | −0.0835350 | − | 0.0271422i | ||||
\(599\) | −10.4636 | − | 7.60225i | −0.427531 | − | 0.310619i | 0.353130 | − | 0.935574i | \(-0.385117\pi\) |
−0.780661 | + | 0.624955i | \(0.785117\pi\) | |||||||
\(600\) | −20.8360 | + | 11.3224i | −0.850627 | + | 0.462236i | ||||
\(601\) | 3.41374 | − | 10.5064i | 0.139249 | − | 0.428566i | −0.856977 | − | 0.515354i | \(-0.827660\pi\) |
0.996227 | + | 0.0867885i | \(0.0276604\pi\) | |||||||
\(602\) | −4.30293 | + | 1.39811i | −0.175374 | + | 0.0569826i | ||||
\(603\) | −0.400049 | − | 0.550621i | −0.0162913 | − | 0.0224230i | ||||
\(604\) | −11.3910 | −0.463494 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −14.0364 | −0.570188 | ||||||||
\(607\) | 0.0681317 | + | 0.0937752i | 0.00276538 | + | 0.00380622i | 0.810397 | − | 0.585881i | \(-0.199251\pi\) |
−0.807632 | + | 0.589687i | \(0.799251\pi\) | |||||||
\(608\) | 12.6755 | − | 4.11852i | 0.514059 | − | 0.167028i | ||||
\(609\) | −1.15189 | + | 3.54516i | −0.0466770 | + | 0.143657i | ||||
\(610\) | −6.16410 | − | 0.402940i | −0.249577 | − | 0.0163146i | ||||
\(611\) | −2.80495 | − | 2.03791i | −0.113476 | − | 0.0824451i | ||||
\(612\) | −0.914408 | − | 0.297109i | −0.0369627 | − | 0.0120099i | ||||
\(613\) | 18.1124 | − | 5.88509i | 0.731554 | − | 0.237696i | 0.0805288 | − | 0.996752i | \(-0.474339\pi\) |
0.651025 | + | 0.759056i | \(0.274339\pi\) | |||||||
\(614\) | −6.50444 | + | 4.72575i | −0.262498 | + | 0.190716i | ||||
\(615\) | −28.0008 | + | 17.6740i | −1.12910 | + | 0.712684i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.8894i | 1.24356i | 0.783192 | + | 0.621780i | \(0.213590\pi\) | ||||
−0.783192 | + | 0.621780i | \(0.786410\pi\) | |||||||
\(618\) | 11.2328 | + | 15.4606i | 0.451849 | + | 0.621917i | ||||
\(619\) | −10.3736 | − | 31.9266i | −0.416950 | − | 1.28324i | −0.910495 | − | 0.413520i | \(-0.864299\pi\) |
0.493545 | − | 0.869720i | \(-0.335701\pi\) | |||||||
\(620\) | −18.1192 | + | 4.60504i | −0.727684 | + | 0.184943i | ||||
\(621\) | 6.15803 | + | 4.47407i | 0.247113 | + | 0.179538i | ||||
\(622\) | −1.60807 | + | 2.21331i | −0.0644776 | + | 0.0887458i | ||||
\(623\) | 3.49911 | + | 1.13693i | 0.140189 | + | 0.0455501i | ||||
\(624\) | −0.536349 | − | 1.65071i | −0.0214711 | − | 0.0660814i | ||||
\(625\) | 24.1526 | + | 6.45368i | 0.966106 | + | 0.258147i | ||||
\(626\) | 19.6668 | 0.786043 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 18.9738i | 0.757139i | ||||||||
\(629\) | −42.0105 | + | 30.5224i | −1.67507 | + | 1.21701i | ||||
\(630\) | 0.0680872 | − | 0.0818949i | 0.00271266 | − | 0.00326277i | ||||
\(631\) | 7.61952 | − | 23.4505i | 0.303328 | − | 0.933548i | −0.676968 | − | 0.736013i | \(-0.736706\pi\) |
0.980296 | − | 0.197535i | \(-0.0632937\pi\) | |||||||
\(632\) | 7.16590 | − | 9.86302i | 0.285044 | − | 0.392330i | ||||
\(633\) | −8.98461 | + | 12.3663i | −0.357106 | + | 0.491515i | ||||
\(634\) | −1.73348 | + | 5.33511i | −0.0688454 | + | 0.211884i | ||||
\(635\) | −27.6082 | − | 22.9534i | −1.09560 | − | 0.910878i | ||||
\(636\) | 4.60168 | − | 3.34331i | 0.182468 | − | 0.132571i | ||||
\(637\) | 11.9350i | 0.472880i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.18186 | 0.0467535 | ||||||||
\(640\) | −7.27402 | + | 18.2417i | −0.287531 | + | 0.721066i | ||||
\(641\) | 2.16821 | + | 6.67306i | 0.0856390 | + | 0.263570i | 0.984701 | − | 0.174251i | \(-0.0557504\pi\) |
−0.899062 | + | 0.437821i | \(0.855750\pi\) | |||||||
\(642\) | 7.53327 | + | 2.44771i | 0.297315 | + | 0.0966034i | ||||
\(643\) | −7.20185 | + | 9.91249i | −0.284013 | + | 0.390910i | −0.927058 | − | 0.374918i | \(-0.877671\pi\) |
0.643045 | + | 0.765828i | \(0.277671\pi\) | |||||||
\(644\) | 0.968128 | + | 0.703386i | 0.0381496 | + | 0.0277173i | ||||
\(645\) | −36.3242 | + | 9.23191i | −1.43027 | + | 0.363506i | ||||
\(646\) | 4.01446 | + | 12.3552i | 0.157947 | + | 0.486111i | ||||
\(647\) | −3.59733 | − | 4.95130i | −0.141426 | − | 0.194656i | 0.732428 | − | 0.680844i | \(-0.238387\pi\) |
−0.873854 | + | 0.486188i | \(0.838387\pi\) | |||||||
\(648\) | − | 25.0251i | − | 0.983079i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 3.09905 | − | 6.50310i | 0.121555 | − | 0.255073i | ||||
\(651\) | 5.20165 | − | 3.77922i | 0.203869 | − | 0.148119i | ||||
\(652\) | 15.2675 | − | 4.96071i | 0.597921 | − | 0.194276i | ||||
\(653\) | 36.1702 | + | 11.7524i | 1.41545 | + | 0.459907i | 0.914153 | − | 0.405370i | \(-0.132857\pi\) |
0.501295 | + | 0.865277i | \(0.332857\pi\) | |||||||
\(654\) | 21.2678 | + | 15.4519i | 0.831635 | + | 0.604218i | ||||
\(655\) | 2.62976 | − | 40.2295i | 0.102753 | − | 1.57190i | ||||
\(656\) | −1.42732 | + | 4.39283i | −0.0557274 | + | 0.171511i | ||||
\(657\) | −0.650261 | + | 0.211283i | −0.0253691 | + | 0.00824292i | ||||
\(658\) | −0.539632 | − | 0.742740i | −0.0210371 | − | 0.0289550i | ||||
\(659\) | 15.7879 | 0.615011 | 0.307505 | − | 0.951546i | \(-0.400506\pi\) | ||||
0.307505 | + | 0.951546i | \(0.400506\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.5794 | −0.956027 | −0.478014 | − | 0.878352i | \(-0.658643\pi\) | ||||
−0.478014 | + | 0.878352i | \(0.658643\pi\) | |||||||
\(662\) | −2.66255 | − | 3.66468i | −0.103483 | − | 0.142432i | ||||
\(663\) | 21.2714 | − | 6.91150i | 0.826113 | − | 0.268420i | ||||
\(664\) | 4.94644 | − | 15.2236i | 0.191959 | − | 0.590790i | ||||
\(665\) | 3.02129 | + | 0.197498i | 0.117161 | + | 0.00765866i | ||||
\(666\) | 0.477503 | + | 0.346926i | 0.0185029 | + | 0.0134431i | ||||
\(667\) | 5.06949 | + | 1.64718i | 0.196292 | + | 0.0637790i | ||||
\(668\) | 11.2510 | − | 3.65567i | 0.435314 | − | 0.141442i | ||||
\(669\) | 8.98277 | − | 6.52636i | 0.347294 | − | 0.252324i | ||||
\(670\) | −6.50666 | − | 10.3085i | −0.251374 | − | 0.398251i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 6.07597i | − | 0.234385i | ||||||
\(673\) | −17.6179 | − | 24.2489i | −0.679119 | − | 0.934727i | 0.320804 | − | 0.947146i | \(-0.396047\pi\) |
−0.999923 | + | 0.0124187i | \(0.996047\pi\) | |||||||
\(674\) | 5.60993 | + | 17.2656i | 0.216087 | + | 0.665046i | ||||
\(675\) | −17.5665 | + | 18.5241i | −0.676134 | + | 0.712993i | ||||
\(676\) | −10.7246 | − | 7.79185i | −0.412483 | − | 0.299687i | ||||
\(677\) | −2.20836 | + | 3.03955i | −0.0848744 | + | 0.116820i | −0.849343 | − | 0.527842i | \(-0.823001\pi\) |
0.764469 | + | 0.644661i | \(0.223001\pi\) | |||||||
\(678\) | 15.8631 | + | 5.15423i | 0.609218 | + | 0.197947i | ||||
\(679\) | −0.983593 | − | 3.02719i | −0.0377468 | − | 0.116173i | ||||
\(680\) | −39.5941 | − | 15.7885i | −1.51836 | − | 0.605460i | ||||
\(681\) | −1.96641 | −0.0753531 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 21.0157i | − | 0.804144i | −0.915608 | − | 0.402072i | \(-0.868290\pi\) | ||
0.915608 | − | 0.402072i | \(-0.131710\pi\) | |||||||
\(684\) | −0.251345 | + | 0.182613i | −0.00961043 | + | 0.00698239i | ||||
\(685\) | 6.93288 | + | 5.76397i | 0.264892 | + | 0.220230i | ||||
\(686\) | −2.00469 | + | 6.16979i | −0.0765393 | + | 0.235564i | ||||
\(687\) | 4.34277 | − | 5.97731i | 0.165687 | − | 0.228049i | ||||
\(688\) | −3.07297 | + | 4.22958i | −0.117156 | + | 0.161251i | ||||
\(689\) | −1.32168 | + | 4.06772i | −0.0503521 | + | 0.154968i | ||||
\(690\) | −3.62289 | − | 3.01206i | −0.137921 | − | 0.114667i | ||||
\(691\) | 30.9712 | − | 22.5019i | 1.17820 | − | 0.856012i | 0.186232 | − | 0.982506i | \(-0.440372\pi\) |
0.991967 | + | 0.126494i | \(0.0403723\pi\) | |||||||
\(692\) | − | 12.4432i | − | 0.473020i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.146408 | −0.00555757 | ||||||||
\(695\) | 16.4810 | + | 6.57194i | 0.625161 | + | 0.249288i | ||||
\(696\) | −5.24018 | − | 16.1276i | −0.198629 | − | 0.611316i | ||||
\(697\) | −56.6069 | − | 18.3927i | −2.14414 | − | 0.696672i | ||||
\(698\) | −7.27881 | + | 10.0184i | −0.275507 | + | 0.379203i | ||||
\(699\) | −9.65715 | − | 7.01633i | −0.365267 | − | 0.265382i | ||||
\(700\) | −2.76170 | + | 2.91225i | −0.104382 | + | 0.110073i | ||||
\(701\) | 10.5790 | + | 32.5589i | 0.399564 | + | 1.22973i | 0.925350 | + | 0.379115i | \(0.123772\pi\) |
−0.525785 | + | 0.850617i | \(0.676228\pi\) | |||||||
\(702\) | 4.32385 | + | 5.95127i | 0.163193 | + | 0.224616i | ||||
\(703\) | 16.7795i | 0.632852i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.05936 | − | 6.43121i | −0.152884 | − | 0.242214i | ||||
\(706\) | 15.5273 | − | 11.2812i | 0.584376 | − | 0.424574i | ||||
\(707\) | −5.59255 | + | 1.81713i | −0.210329 | + | 0.0683402i | ||||
\(708\) | 0.0868968 | + | 0.0282345i | 0.00326578 | + | 0.00106112i | ||||
\(709\) | −3.33701 | − | 2.42448i | −0.125324 | − | 0.0910533i | 0.523357 | − | 0.852113i | \(-0.324679\pi\) |
−0.648682 | + | 0.761060i | \(0.724679\pi\) | |||||||
\(710\) | 21.1230 | + | 1.38078i | 0.792730 | + | 0.0518199i | ||||
\(711\) | −0.140160 | + | 0.431368i | −0.00525641 | + | 0.0161776i | ||||
\(712\) | −15.9181 | + | 5.17212i | −0.596558 | + | 0.193833i | ||||
\(713\) | −5.40420 | − | 7.43824i | −0.202389 | − | 0.278564i | ||||
\(714\) | 5.92246 | 0.221642 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.96324 | −0.0733697 | ||||||||
\(717\) | −4.55174 | − | 6.26494i | −0.169988 | − | 0.233968i | ||||
\(718\) | 6.69310 | − | 2.17472i | 0.249784 | − | 0.0811598i | ||||
\(719\) | −9.07260 | + | 27.9226i | −0.338351 | + | 1.04134i | 0.626697 | + | 0.779263i | \(0.284406\pi\) |
−0.965048 | + | 0.262074i | \(0.915594\pi\) | |||||||
\(720\) | 0.00802756 | − | 0.122804i | 0.000299169 | − | 0.00457664i | ||||
\(721\) | 6.47703 | + | 4.70584i | 0.241217 | + | 0.175255i | ||||
\(722\) | −10.5125 | − | 3.41570i | −0.391233 | − | 0.127119i | ||||
\(723\) | −16.0962 | + | 5.22998i | −0.598625 | + | 0.194505i | ||||
\(724\) | −0.870284 | + | 0.632299i | −0.0323439 | + | 0.0234992i | ||||
\(725\) | −7.69084 | + | 16.1386i | −0.285630 | + | 0.599373i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 44.0893i | − | 1.63518i | −0.575799 | − | 0.817591i | \(-0.695309\pi\) | ||
0.575799 | − | 0.817591i | \(-0.304691\pi\) | |||||||
\(728\) | 1.68262 | + | 2.31593i | 0.0623621 | + | 0.0858340i | ||||
\(729\) | −8.04644 | − | 24.7644i | −0.298016 | − | 0.917200i | ||||
\(730\) | −11.8688 | + | 3.01648i | −0.439282 | + | 0.111645i | ||||
\(731\) | −54.5032 | − | 39.5989i | −2.01587 | − | 1.46462i | ||||
\(732\) | 4.82867 | − | 6.64610i | 0.178473 | − | 0.245647i | ||||
\(733\) | 46.5533 | + | 15.1261i | 1.71948 | + | 0.558694i | 0.991866 | − | 0.127287i | \(-0.0406271\pi\) |
0.727619 | + | 0.685982i | \(0.240627\pi\) | |||||||
\(734\) | −1.33507 | − | 4.10893i | −0.0492784 | − | 0.151663i | ||||
\(735\) | −9.69684 | + | 24.3176i | −0.357673 | + | 0.896969i | ||||
\(736\) | −8.68849 | −0.320262 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0.676520i | 0.0249031i | ||||||||
\(739\) | 16.7161 | − | 12.1450i | 0.614911 | − | 0.446759i | −0.236229 | − | 0.971697i | \(-0.575912\pi\) |
0.851140 | + | 0.524938i | \(0.175912\pi\) | |||||||
\(740\) | −17.1035 | − | 14.2198i | −0.628736 | − | 0.522729i | ||||
\(741\) | 2.23332 | − | 6.87347i | 0.0820432 | − | 0.252503i | ||||
\(742\) | −0.665696 | + | 0.916252i | −0.0244385 | + | 0.0336367i | ||||
\(743\) | 17.7294 | − | 24.4025i | 0.650429 | − | 0.895239i | −0.348688 | − | 0.937239i | \(-0.613373\pi\) |
0.999118 | + | 0.0419994i | \(0.0133728\pi\) | |||||||
\(744\) | −9.03860 | + | 27.8179i | −0.331371 | + | 1.01986i | ||||
\(745\) | 17.8704 | − | 21.4944i | 0.654720 | − | 0.787494i | ||||
\(746\) | −2.09398 | + | 1.52137i | −0.0766661 | + | 0.0557012i | ||||
\(747\) | 0.595525i | 0.0217891i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.31838 | 0.121251 | ||||||||
\(750\) | 11.5979 | − | 10.7322i | 0.423497 | − | 0.391886i | ||||
\(751\) | 3.73806 | + | 11.5046i | 0.136404 | + | 0.419808i | 0.995806 | − | 0.0914930i | \(-0.0291639\pi\) |
−0.859402 | + | 0.511301i | \(0.829164\pi\) | |||||||
\(752\) | −1.00894 | − | 0.327826i | −0.0367924 | − | 0.0119546i | ||||
\(753\) | 13.8895 | − | 19.1172i | 0.506161 | − | 0.696671i | ||||
\(754\) | 4.16758 | + | 3.02792i | 0.151774 | + | 0.110271i | ||||
\(755\) | 18.2096 | − | 4.62802i | 0.662715 | − | 0.168431i | ||||
\(756\) | −1.26648 | − | 3.89781i | −0.0460613 | − | 0.141762i | ||||
\(757\) | −12.1143 | − | 16.6739i | −0.440302 | − | 0.606023i | 0.529977 | − | 0.848012i | \(-0.322200\pi\) |
−0.970279 | + | 0.241988i | \(0.922200\pi\) | |||||||
\(758\) | 15.7838i | 0.573293i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.6476 | + | 7.35192i | −0.422503 | + | 0.266682i | ||||
\(761\) | 16.8640 | − | 12.2524i | 0.611319 | − | 0.444149i | −0.238560 | − | 0.971128i | \(-0.576675\pi\) |
0.849878 | + | 0.526979i | \(0.176675\pi\) | |||||||
\(762\) | −21.5828 | + | 7.01269i | −0.781864 | + | 0.254043i | ||||
\(763\) | 10.4742 | + | 3.40326i | 0.379190 | + | 0.123206i | ||||
\(764\) | 8.93895 | + | 6.49452i | 0.323400 | + | 0.234964i | ||||
\(765\) | 1.58248 | + | 0.103445i | 0.0572146 | + | 0.00374005i | ||||
\(766\) | 6.93916 | − | 21.3565i | 0.250722 | − | 0.771643i | ||||
\(767\) | −0.0653417 | + | 0.0212308i | −0.00235935 | + | 0.000766600i | ||||
\(768\) | 14.7057 | + | 20.2407i | 0.530648 | + | 0.730374i | ||||
\(769\) | 10.7167 | 0.386455 | 0.193228 | − | 0.981154i | \(-0.438104\pi\) | ||||
0.193228 | + | 0.981154i | \(0.438104\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.0466 | 0.685946 | ||||||||
\(772\) | 3.48091 | + | 4.79106i | 0.125281 | + | 0.172434i | ||||
\(773\) | −19.3600 | + | 6.29043i | −0.696329 | + | 0.226251i | −0.635731 | − | 0.771911i | \(-0.719301\pi\) |
−0.0605989 | + | 0.998162i | \(0.519301\pi\) | |||||||
\(774\) | −0.236627 | + | 0.728264i | −0.00850539 | + | 0.0261769i | ||||
\(775\) | 27.0942 | − | 14.7232i | 0.973254 | − | 0.528872i | ||||
\(776\) | 11.7146 | + | 8.51113i | 0.420528 | + | 0.305532i | ||||
\(777\) | 7.27517 | + | 2.36385i | 0.260995 | + | 0.0848025i | ||||
\(778\) | 9.95490 | − | 3.23454i | 0.356900 | − | 0.115964i | ||||
\(779\) | −15.5597 | + | 11.3048i | −0.557483 | + | 0.405035i | ||||
\(780\) | 5.11353 | + | 8.10134i | 0.183094 | + | 0.290074i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 8.46898i | − | 0.302850i | ||||||
\(783\) | −10.7304 | − | 14.7691i | −0.383474 | − | 0.527806i | ||||
\(784\) | 1.12849 | + | 3.47313i | 0.0403032 | + | 0.124040i | ||||
\(785\) | −7.70882 | − | 30.3314i | −0.275140 | − | 1.08258i | ||||
\(786\) | −20.6154 | − | 14.9780i | −0.735326 | − | 0.534246i | ||||
\(787\) | −8.35961 | + | 11.5060i | −0.297988 | + | 0.410145i | −0.931588 | − | 0.363516i | \(-0.881576\pi\) |
0.633600 | + | 0.773661i | \(0.281576\pi\) | |||||||
\(788\) | −20.1812 | − | 6.55727i | −0.718925 | − | 0.233593i | ||||
\(789\) | −13.4039 | − | 41.2530i | −0.477192 | − | 1.46865i | ||||
\(790\) | −3.00901 | + | 7.54596i | −0.107056 | + | 0.268473i | ||||
\(791\) | 6.98764 | 0.248452 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.17726i | 0.219361i | ||||||||
\(794\) | −1.18348 | + | 0.859849i | −0.0420001 | + | 0.0305149i | ||||
\(795\) | −5.99786 | + | 7.21420i | −0.212722 | + | 0.255861i | ||||
\(796\) | −0.602543 | + | 1.85444i | −0.0213566 | + | 0.0657288i | ||||
\(797\) | −26.4729 | + | 36.4368i | −0.937719 | + | 1.29066i | 0.0190529 | + | 0.999818i | \(0.493935\pi\) |
−0.956772 | + | 0.290841i | \(0.906065\pi\) | |||||||
\(798\) | 1.12487 | − | 1.54824i | 0.0398198 | − | 0.0548073i | ||||
\(799\) | 4.22443 | − | 13.0015i | 0.149450 | − | 0.459958i | ||||
\(800\) | 3.79351 | − | 28.8922i | 0.134121 | − | 1.02149i | ||||
\(801\) | 0.503771 | − | 0.366011i | 0.0177999 | − | 0.0129324i | ||||
\(802\) | 4.31920i | 0.152516i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 16.2115 | 0.571737 | ||||||||
\(805\) | −1.83342 | − | 0.731090i | −0.0646195 | − | 0.0257675i | ||||
\(806\) | −2.74576 | − | 8.45060i | −0.0967154 | − | 0.297660i | ||||
\(807\) | 8.03960 | + | 2.61223i | 0.283007 | + | 0.0919547i | ||||
\(808\) | 15.7238 | − | 21.6419i | 0.553161 | − | 0.761361i | ||||
\(809\) | −19.2346 | − | 13.9748i | −0.676254 | − | 0.491327i | 0.195859 | − | 0.980632i | \(-0.437251\pi\) |
−0.872113 | + | 0.489305i | \(0.837251\pi\) | |||||||
\(810\) | 4.10756 | + | 16.1618i | 0.144325 | + | 0.567867i | ||||
\(811\) | 2.53354 | + | 7.79742i | 0.0889645 | + | 0.273804i | 0.985634 | − | 0.168896i | \(-0.0540204\pi\) |
−0.896669 | + | 0.442701i | \(0.854020\pi\) | |||||||
\(812\) | −1.68697 | − | 2.32192i | −0.0592010 | − | 0.0814832i | ||||
\(813\) | − | 41.0787i | − | 1.44069i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −22.3910 | + | 14.1331i | −0.784323 | + | 0.495062i | ||||
\(816\) | 5.53658 | − | 4.02256i | 0.193819 | − | 0.140818i | ||||
\(817\) | −20.7038 | + | 6.72707i | −0.724334 | + | 0.235351i | ||||
\(818\) | −28.0035 | − | 9.09890i | −0.979121 | − | 0.318136i | ||||
\(819\) | −0.0861618 | − | 0.0626002i | −0.00301074 | − | 0.00218743i | ||||
\(820\) | 1.66300 | − | 25.4402i | 0.0580744 | − | 0.888411i | ||||
\(821\) | 13.4229 | − | 41.3113i | 0.468461 | − | 1.44177i | −0.386116 | − | 0.922450i | \(-0.626184\pi\) |
0.854577 | − | 0.519324i | \(-0.173816\pi\) | |||||||
\(822\) | 5.41980 | − | 1.76100i | 0.189037 | − | 0.0614219i | ||||
\(823\) | −30.3768 | − | 41.8101i | −1.05887 | − | 1.45741i | −0.880859 | − | 0.473378i | \(-0.843034\pi\) |
−0.178009 | − | 0.984029i | \(-0.556966\pi\) | |||||||
\(824\) | −36.4211 | −1.26879 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0181927 | −0.000633004 | ||||||||
\(827\) | 14.8756 | + | 20.4745i | 0.517276 | + | 0.711969i | 0.985125 | − | 0.171839i | \(-0.0549710\pi\) |
−0.467849 | + | 0.883808i | \(0.654971\pi\) | |||||||
\(828\) | 0.192622 | − | 0.0625867i | 0.00669408 | − | 0.00217504i | ||||
\(829\) | 12.9404 | − | 39.8264i | 0.449439 | − | 1.38323i | −0.428103 | − | 0.903730i | \(-0.640818\pi\) |
0.877542 | − | 0.479500i | \(-0.159182\pi\) | |||||||
\(830\) | −0.695763 | + | 10.6436i | −0.0241503 | + | 0.369446i | ||||
\(831\) | 31.1920 | + | 22.6623i | 1.08204 | + | 0.786148i | ||||
\(832\) | −6.11079 | − | 1.98552i | −0.211854 | − | 0.0688354i | ||||
\(833\) | −44.7555 | + | 14.5419i | −1.55068 | + | 0.503848i | ||||
\(834\) | 9.07295 | − | 6.59189i | 0.314171 | − | 0.228258i | ||||
\(835\) | −16.5005 | + | 10.4151i | −0.571024 | + | 0.360428i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 31.4885i | 1.08840i | ||||||||
\(838\) | 1.35236 | + | 1.86137i | 0.0467167 | + | 0.0643000i | ||||
\(839\) | 4.44515 | + | 13.6808i | 0.153464 | + | 0.472313i | 0.998002 | − | 0.0631825i | \(-0.0201250\pi\) |
−0.844538 | + | 0.535495i | \(0.820125\pi\) | |||||||
\(840\) | 1.54673 | + | 6.08581i | 0.0533671 | + | 0.209981i | ||||
\(841\) | 13.1189 | + | 9.53144i | 0.452376 | + | 0.328670i | ||||
\(842\) | 2.19854 | − | 3.02603i | 0.0757666 | − | 0.104284i | ||||
\(843\) | −26.4170 | − | 8.58341i | −0.909850 | − | 0.295628i | ||||
\(844\) | −3.63683 | − | 11.1930i | −0.125185 | − | 0.385279i | ||||
\(845\) | 20.3099 | + | 8.09875i | 0.698683 | + | 0.278605i | ||||
\(846\) | −0.155383 | −0.00534218 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.30870i | 0.0449408i | ||||||||
\(849\) | 32.2060 | − | 23.3991i | 1.10531 | − | 0.803053i | ||||
\(850\) | 28.1623 | + | 3.69767i | 0.965957 | + | 0.126829i | ||||
\(851\) | 3.38025 | − | 10.4033i | 0.115873 | − | 0.356622i | ||||
\(852\) | −16.5467 | + | 22.7746i | −0.566882 | + | 0.780246i | ||||
\(853\) | 25.2756 | − | 34.7889i | 0.865420 | − | 1.19115i | −0.114830 | − | 0.993385i | \(-0.536632\pi\) |
0.980250 | − | 0.197763i | \(-0.0633677\pi\) | |||||||
\(854\) | −0.505464 | + | 1.55566i | −0.0172966 | + | 0.0532336i | ||||
\(855\) | 0.327606 | − | 0.394042i | 0.0112039 | − | 0.0134760i | ||||
\(856\) | −12.2129 | + | 8.87320i | −0.417429 | + | 0.303280i | ||||
\(857\) | − | 54.3052i | − | 1.85503i | −0.373784 | − | 0.927516i | \(-0.621940\pi\) | ||
0.373784 | − | 0.927516i | \(-0.378060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.3361 | −0.830336 | −0.415168 | − | 0.909745i | \(-0.636277\pi\) | ||||
−0.415168 | + | 0.909745i | \(0.636277\pi\) | |||||||
\(860\) | 10.6884 | − | 26.8043i | 0.364473 | − | 0.914020i | ||||
\(861\) | 2.70945 | + | 8.33884i | 0.0923380 | + | 0.284187i | ||||
\(862\) | −15.8554 | − | 5.15173i | −0.540037 | − | 0.175469i | ||||
\(863\) | 23.0118 | − | 31.6731i | 0.783332 | − | 1.07816i | −0.211575 | − | 0.977362i | \(-0.567859\pi\) |
0.994906 | − | 0.100802i | \(-0.0321409\pi\) | |||||||
\(864\) | 24.0736 | + | 17.4905i | 0.819002 | + | 0.595040i | ||||
\(865\) | 5.05551 | + | 19.8916i | 0.171892 | + | 0.676335i | ||||
\(866\) | −3.17431 | − | 9.76952i | −0.107867 | − | 0.331982i | ||||
\(867\) | 34.2415 | + | 47.1294i | 1.16290 | + | 1.60060i | ||||
\(868\) | 4.95043i | 0.168029i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 6.03138 | + | 9.55548i | 0.204483 | + | 0.323961i | ||||
\(871\) | −9.86208 | + | 7.16522i | −0.334164 | + | 0.242784i | ||||
\(872\) | −47.6491 | + | 15.4821i | −1.61360 | + | 0.524291i | ||||
\(873\) | −0.512347 | − | 0.166472i | −0.0173403 | − | 0.00563421i | ||||
\(874\) | −2.21395 | − | 1.60853i | −0.0748881 | − | 0.0544094i | ||||
\(875\) | 3.23162 | − | 5.77754i | 0.109249 | − | 0.195316i | ||||
\(876\) | 5.03261 | − | 15.4888i | 0.170036 | − | 0.523317i | ||||
\(877\) | −40.9793 | + | 13.3150i | −1.38377 | + | 0.449615i | −0.903908 | − | 0.427727i | \(-0.859314\pi\) |
−0.479865 | + | 0.877342i | \(0.659314\pi\) | |||||||
\(878\) | 5.01107 | + | 6.89714i | 0.169115 | + | 0.232767i | ||||
\(879\) | 23.3468 | 0.787466 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.1083 | −1.28390 | −0.641950 | − | 0.766746i | \(-0.721874\pi\) | ||||
−0.641950 | + | 0.766746i | \(0.721874\pi\) | |||||||
\(882\) | 0.314396 | + | 0.432729i | 0.0105863 | + | 0.0145707i | ||||
\(883\) | −27.6054 | + | 8.96955i | −0.928997 | + | 0.301849i | −0.734152 | − | 0.678985i | \(-0.762420\pi\) |
−0.194845 | + | 0.980834i | \(0.562420\pi\) | |||||||
\(884\) | −5.32147 | + | 16.3778i | −0.178980 | + | 0.550845i | ||||
\(885\) | −0.150384 | − | 0.00983043i | −0.00505510 | − | 0.000330446i | ||||
\(886\) | −4.28533 | − | 3.11348i | −0.143969 | − | 0.104599i | ||||
\(887\) | 2.10349 | + | 0.683467i | 0.0706284 | + | 0.0229486i | 0.344118 | − | 0.938926i | \(-0.388178\pi\) |
−0.273490 | + | 0.961875i | \(0.588178\pi\) | |||||||
\(888\) | −33.0962 | + | 10.7536i | −1.11064 | + | 0.360868i | ||||
\(889\) | −7.69146 | + | 5.58817i | −0.257963 | + | 0.187421i | ||||
\(890\) | 9.43136 | − | 5.95304i | 0.316140 | − | 0.199546i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.54894i | 0.286240i | ||||||||
\(893\) | −2.59647 | − | 3.57374i | −0.0868877 | − | 0.119591i | ||||
\(894\) | −5.45973 | − | 16.8033i | −0.182601 | − | 0.561987i | ||||
\(895\) | 3.13842 | − | 0.797637i | 0.104906 | − | 0.0266621i | ||||
\(896\) | 4.20706 | + | 3.05661i | 0.140548 | + | 0.102114i | ||||
\(897\) | −2.76933 | + | 3.81165i | −0.0924652 | + | 0.127267i | ||||
\(898\) | −10.4038 | − | 3.38041i | −0.347180 | − | 0.112806i | ||||
\(899\) | 6.81411 | + | 20.9717i | 0.227263 | + | 0.699444i | ||||
\(900\) | 0.124021 | + | 0.667860i | 0.00413402 | + | 0.0222620i | ||||
\(901\) | −16.8641 | −0.561825 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.92432i | 0.330261i | ||||||||
\(904\) | −25.7172 | + | 18.6846i | −0.855340 | + | 0.621441i | ||||
\(905\) | 1.13434 | − | 1.36437i | 0.0377066 | − | 0.0453533i | ||||
\(906\) | 3.66976 | − | 11.2944i | 0.121920 | − | 0.375230i | ||||
\(907\) | −15.6858 | + | 21.5897i | −0.520840 | + | 0.716874i | −0.985700 | − | 0.168510i | \(-0.946105\pi\) |
0.464860 | + | 0.885384i | \(0.346105\pi\) | |||||||
\(908\) | 0.889924 | − | 1.22488i | 0.0295332 | − | 0.0406489i | ||||
\(909\) | −0.307546 | + | 0.946530i | −0.0102007 | + | 0.0313944i | ||||
\(910\) | −1.46681 | − | 1.21950i | −0.0486241 | − | 0.0404260i | ||||
\(911\) | 29.3460 | − | 21.3211i | 0.972276 | − | 0.706400i | 0.0163067 | − | 0.999867i | \(-0.494809\pi\) |
0.955969 | + | 0.293467i | \(0.0948092\pi\) | |||||||
\(912\) | − | 2.21138i | − | 0.0732261i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −10.8363 | −0.358434 | ||||||||
\(915\) | −5.01886 | + | 12.5862i | −0.165918 | + | 0.416088i | ||||
\(916\) | 1.75788 | + | 5.41021i | 0.0580821 | + | 0.178758i | ||||
\(917\) | −10.1529 | − | 3.29887i | −0.335277 | − | 0.108938i | ||||
\(918\) | −17.0486 | + | 23.4654i | −0.562689 | + | 0.774475i | ||||
\(919\) | 24.0050 | + | 17.4406i | 0.791851 | + | 0.575313i | 0.908512 | − | 0.417859i | \(-0.137219\pi\) |
−0.116661 | + | 0.993172i | \(0.537219\pi\) | |||||||
\(920\) | 8.70258 | − | 2.21178i | 0.286915 | − | 0.0729204i | ||||
\(921\) | 5.44976 | + | 16.7726i | 0.179576 | + | 0.552677i | ||||
\(922\) | 5.34174 | + | 7.35227i | 0.175921 | + | 0.242134i | ||||
\(923\) | − | 21.1680i | − | 0.696754i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.1188 | + | 15.7827i | 1.08894 | + | 0.518932i | ||||
\(926\) | 3.13652 | − | 2.27882i | 0.103073 | − | 0.0748866i | ||||
\(927\) | 1.28869 | − | 0.418721i | 0.0423262 | − | 0.0137526i | ||||
\(928\) | 19.8182 | + | 6.43933i | 0.650565 | + | 0.211381i | ||||
\(929\) | 22.4685 | + | 16.3243i | 0.737168 | + | 0.535584i | 0.891823 | − | 0.452385i | \(-0.149427\pi\) |
−0.154655 | + | 0.987968i | \(0.549427\pi\) | |||||||
\(930\) | 1.27136 | − | 19.4490i | 0.0416896 | − | 0.637759i | ||||
\(931\) | −4.69896 | + | 14.4619i | −0.154002 | + | 0.473970i | ||||
\(932\) | 8.74093 | − | 2.84010i | 0.286319 | − | 0.0930305i | ||||
\(933\) | 3.52734 | + | 4.85496i | 0.115480 | + | 0.158944i | ||||
\(934\) | −19.2786 | −0.630817 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.484498 | 0.0158363 | ||||||||
\(937\) | −17.7759 | − | 24.4664i | −0.580712 | − | 0.799282i | 0.413061 | − | 0.910703i | \(-0.364460\pi\) |
−0.993773 | + | 0.111422i | \(0.964460\pi\) | |||||||
\(938\) | −3.06994 | + | 0.997483i | −0.100237 | + | 0.0325690i | ||||
\(939\) | 13.3309 | − | 41.0282i | 0.435037 | − | 1.33891i | ||||
\(940\) | 5.84310 | + | 0.381957i | 0.190581 | + | 0.0124581i | ||||
\(941\) | −4.85954 | − | 3.53066i | −0.158416 | − | 0.115096i | 0.505753 | − | 0.862678i | \(-0.331215\pi\) |
−0.664169 | + | 0.747582i | \(0.731215\pi\) | |||||||
\(942\) | −18.8129 | − | 6.11267i | −0.612956 | − | 0.199162i | ||||
\(943\) | 11.9244 | − | 3.87446i | 0.388311 | − | 0.126170i | ||||
\(944\) | −0.0170073 | + | 0.0123565i | −0.000553541 | + | 0.000402171i | ||||
\(945\) | 3.60821 | + | 5.71646i | 0.117375 | + | 0.185956i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.0218i | 0.325665i | 0.986654 | + | 0.162833i | \(0.0520630\pi\) | ||||
−0.986654 | + | 0.162833i | \(0.947937\pi\) | |||||||
\(948\) | −6.35023 | − | 8.74034i | −0.206246 | − | 0.283873i | ||||
\(949\) | 3.78425 | + | 11.6467i | 0.122842 | + | 0.378068i | ||||
\(950\) | 6.31556 | − | 6.65985i | 0.204904 | − | 0.216074i | ||||
\(951\) | 9.95492 | + | 7.23267i | 0.322810 | + | 0.234535i | ||||
\(952\) | −6.63445 | + | 9.13154i | −0.215024 | + | 0.295955i | ||||
\(953\) | −9.30263 | − | 3.02261i | −0.301342 | − | 0.0979118i | 0.154444 | − | 0.988002i | \(-0.450641\pi\) |
−0.455785 | + | 0.890090i | \(0.650641\pi\) | |||||||
\(954\) | 0.0592331 | + | 0.182301i | 0.00191774 | + | 0.00590220i | ||||
\(955\) | −16.9284 | − | 6.75032i | −0.547789 | − | 0.218435i | ||||
\(956\) | 5.96237 | 0.192837 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34.6967i | 1.12100i | ||||||||
\(959\) | 1.93145 | − | 1.40328i | 0.0623698 | − | 0.0453143i | ||||
\(960\) | −10.8376 | − | 9.01037i | −0.349783 | − | 0.290808i | ||||
\(961\) | 2.17387 | − | 6.69048i | 0.0701248 | − | 0.215822i | ||||
\(962\) | 6.21374 | − | 8.55248i | 0.200339 | − | 0.275743i | ||||
\(963\) | 0.330118 | − | 0.454369i | 0.0106379 | − | 0.0146418i | ||||
\(964\) | 4.02679 | − | 12.3932i | 0.129694 | − | 0.399158i | ||||
\(965\) | −7.51110 | − | 6.24470i | −0.241791 | − | 0.201024i | ||||
\(966\) | −1.00931 | + | 0.733309i | −0.0324741 | + | 0.0235938i | ||||
\(967\) | 1.22635i | 0.0394367i | 0.999806 | + | 0.0197184i | \(0.00627695\pi\) | ||||
−0.999806 | + | 0.0197184i | \(0.993723\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 28.4963 | 0.915432 | ||||||||
\(970\) | −8.96252 | − | 3.57388i | −0.287769 | − | 0.114750i | ||||
\(971\) | −13.7966 | − | 42.4615i | −0.442753 | − | 1.36265i | −0.884929 | − | 0.465726i | \(-0.845793\pi\) |
0.442176 | − | 0.896928i | \(-0.354207\pi\) | |||||||
\(972\) | −1.34220 | − | 0.436106i | −0.0430509 | − | 0.0139881i | ||||
\(973\) | 2.76159 | − | 3.80100i | 0.0885324 | − | 0.121854i | ||||
\(974\) | −27.2493 | − | 19.7978i | −0.873123 | − | 0.634361i | ||||
\(975\) | −11.4659 | − | 10.8732i | −0.367203 | − | 0.348220i | ||||
\(976\) | 0.584080 | + | 1.79761i | 0.0186959 | + | 0.0575402i | ||||
\(977\) | 27.7700 | + | 38.2221i | 0.888441 | + | 1.22283i | 0.974011 | + | 0.226502i | \(0.0727290\pi\) |
−0.0855696 | + | 0.996332i | \(0.527271\pi\) | |||||||
\(978\) | 16.7361i | 0.535162i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −10.7590 | − | 17.0454i | −0.343683 | − | 0.544495i | ||||
\(981\) | 1.50798 | − | 1.09561i | 0.0481460 | − | 0.0349801i | ||||
\(982\) | −6.91639 | + | 2.24727i | −0.220711 | + | 0.0717133i | ||||
\(983\) | −13.2530 | − | 4.30617i | −0.422706 | − | 0.137345i | 0.0899369 | − | 0.995947i | \(-0.471333\pi\) |
−0.512643 | + | 0.858602i | \(0.671333\pi\) | |||||||
\(984\) | −32.2695 | − | 23.4452i | −1.02871 | − | 0.747405i | ||||
\(985\) | 34.9256 | + | 2.28305i | 1.11282 | + | 0.0727440i | ||||
\(986\) | −6.27664 | + | 19.3175i | −0.199889 | + | 0.615195i | ||||
\(987\) | −1.91526 | + | 0.622307i | −0.0609635 | + | 0.0198082i | ||||
\(988\) | 3.27075 | + | 4.50181i | 0.104057 | + | 0.143222i | ||||
\(989\) | 14.1916 | 0.451265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 36.5755 | 1.16186 | 0.580930 | − | 0.813953i | \(-0.302689\pi\) | ||||
0.580930 | + | 0.813953i | \(0.302689\pi\) | |||||||
\(992\) | −21.1267 | − | 29.0784i | −0.670773 | − | 0.923240i | ||||
\(993\) | −9.44992 | + | 3.07046i | −0.299884 | + | 0.0974382i | ||||
\(994\) | 1.73211 | − | 5.33088i | 0.0549392 | − | 0.169085i | ||||
\(995\) | 0.209788 | − | 3.20929i | 0.00665072 | − | 0.101741i | ||||
\(996\) | −11.4759 | − | 8.33773i | −0.363628 | − | 0.264191i | ||||
\(997\) | −18.3949 | − | 5.97686i | −0.582572 | − | 0.189289i | 0.00288064 | − | 0.999996i | \(-0.499083\pi\) |
−0.585452 | + | 0.810707i | \(0.699083\pi\) | |||||||
\(998\) | 23.1156 | − | 7.51071i | 0.731711 | − | 0.237747i | ||||
\(999\) | −30.3084 | + | 22.0204i | −0.958916 | + | 0.696693i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))