Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), 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: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 403.2 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.e.602.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.193716 | − | 1.22307i | −0.136978 | − | 0.864843i | −0.956487 | − | 0.291777i | \(-0.905754\pi\) |
0.819509 | − | 0.573067i | \(-0.194246\pi\) | |||||||
\(3\) | −2.26684 | + | 1.15501i | −1.30876 | + | 0.666845i | −0.962497 | − | 0.271293i | \(-0.912549\pi\) |
−0.346261 | + | 0.938138i | \(0.612549\pi\) | |||||||
\(4\) | 0.443732 | − | 0.144177i | 0.221866 | − | 0.0720886i | ||||
\(5\) | −0.536423 | + | 2.17077i | −0.239896 | + | 0.970799i | ||||
\(6\) | 1.85178 | + | 2.54876i | 0.755987 | + | 1.04053i | ||||
\(7\) | −1.57455 | + | 3.09022i | −0.595123 | + | 1.16799i | 0.375373 | + | 0.926874i | \(0.377515\pi\) |
−0.970495 | + | 0.241120i | \(0.922485\pi\) | |||||||
\(8\) | −1.38667 | − | 2.72149i | −0.490261 | − | 0.962191i | ||||
\(9\) | 2.04114 | − | 2.80938i | 0.680379 | − | 0.936462i | ||||
\(10\) | 2.75893 | + | 0.235572i | 0.872449 | + | 0.0744944i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.839340 | + | 0.839340i | −0.242297 | + | 0.242297i | ||||
\(13\) | −0.730492 | + | 0.115699i | −0.202602 | + | 0.0320890i | −0.256910 | − | 0.966435i | \(-0.582705\pi\) |
0.0543085 | + | 0.998524i | \(0.482705\pi\) | |||||||
\(14\) | 4.08458 | + | 1.32716i | 1.09165 | + | 0.354699i | ||||
\(15\) | −1.29128 | − | 5.54036i | −0.333407 | − | 1.43051i | ||||
\(16\) | −2.30504 | + | 1.67471i | −0.576259 | + | 0.418677i | ||||
\(17\) | 0.609681 | + | 0.0965640i | 0.147869 | + | 0.0234202i | 0.229930 | − | 0.973207i | \(-0.426150\pi\) |
−0.0820609 | + | 0.996627i | \(0.526150\pi\) | |||||||
\(18\) | −3.83148 | − | 1.95224i | −0.903089 | − | 0.460147i | ||||
\(19\) | 0.971971 | − | 2.99142i | 0.222985 | − | 0.686279i | −0.775504 | − | 0.631342i | \(-0.782504\pi\) |
0.998490 | − | 0.0549364i | \(-0.0174956\pi\) | |||||||
\(20\) | 0.0749478 | + | 1.04058i | 0.0167588 | + | 0.232681i | ||||
\(21\) | − | 8.82364i | − | 1.92548i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.30752 | − | 4.30752i | −0.898181 | − | 0.898181i | 0.0970945 | − | 0.995275i | \(-0.469045\pi\) |
−0.995275 | + | 0.0970945i | \(0.969045\pi\) | |||||||
\(24\) | 6.28669 | + | 4.56755i | 1.28327 | + | 0.932347i | ||||
\(25\) | −4.42450 | − | 2.32890i | −0.884900 | − | 0.465781i | ||||
\(26\) | 0.283015 | + | 0.871032i | 0.0555039 | + | 0.170823i | ||||
\(27\) | −0.188086 | + | 1.18753i | −0.0361972 | + | 0.228540i | ||||
\(28\) | −0.253137 | + | 1.59824i | −0.0478383 | + | 0.302039i | ||||
\(29\) | −0.896353 | − | 2.75869i | −0.166449 | − | 0.512276i | 0.832691 | − | 0.553737i | \(-0.186799\pi\) |
−0.999140 | + | 0.0414610i | \(0.986799\pi\) | |||||||
\(30\) | −6.52612 | + | 2.65258i | −1.19150 | + | 0.484293i | ||||
\(31\) | −2.45570 | − | 1.78417i | −0.441056 | − | 0.320446i | 0.344998 | − | 0.938603i | \(-0.387879\pi\) |
−0.786054 | + | 0.618157i | \(0.787879\pi\) | |||||||
\(32\) | −1.82476 | − | 1.82476i | −0.322575 | − | 0.322575i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 0.764390i | − | 0.131092i | ||||||
\(35\) | −5.86354 | − | 5.07565i | −0.991120 | − | 0.857941i | ||||
\(36\) | 0.500668 | − | 1.54090i | 0.0834447 | − | 0.256816i | ||||
\(37\) | 2.05000 | + | 1.04453i | 0.337018 | + | 0.171719i | 0.614306 | − | 0.789068i | \(-0.289436\pi\) |
−0.277289 | + | 0.960787i | \(0.589436\pi\) | |||||||
\(38\) | −3.84701 | − | 0.609306i | −0.624067 | − | 0.0988425i | ||||
\(39\) | 1.52227 | − | 1.10600i | 0.243759 | − | 0.177101i | ||||
\(40\) | 6.65157 | − | 1.55027i | 1.05171 | − | 0.245119i | ||||
\(41\) | −0.970387 | − | 0.315298i | −0.151549 | − | 0.0492413i | 0.232260 | − | 0.972654i | \(-0.425388\pi\) |
−0.383809 | + | 0.923412i | \(0.625388\pi\) | |||||||
\(42\) | −10.7920 | + | 1.70928i | −1.66523 | + | 0.263747i | ||||
\(43\) | −4.07488 | + | 4.07488i | −0.621413 | + | 0.621413i | −0.945893 | − | 0.324480i | \(-0.894811\pi\) |
0.324480 | + | 0.945893i | \(0.394811\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.00362 | + | 5.93786i | 0.745896 | + | 0.885164i | ||||
\(46\) | −4.43398 | + | 6.10285i | −0.653755 | + | 0.899816i | ||||
\(47\) | −0.492737 | − | 0.967050i | −0.0718730 | − | 0.141059i | 0.852274 | − | 0.523095i | \(-0.175223\pi\) |
−0.924147 | + | 0.382037i | \(0.875223\pi\) | |||||||
\(48\) | 3.29083 | − | 6.45862i | 0.474991 | − | 0.932222i | ||||
\(49\) | −2.95578 | − | 4.06828i | −0.422254 | − | 0.581182i | ||||
\(50\) | −1.99132 | + | 5.86263i | −0.281616 | + | 0.829101i | ||||
\(51\) | −1.49358 | + | 0.485293i | −0.209143 | + | 0.0679546i | ||||
\(52\) | −0.307461 | + | 0.156659i | −0.0426372 | + | 0.0217247i | ||||
\(53\) | −0.671773 | − | 4.24141i | −0.0922751 | − | 0.582602i | −0.989892 | − | 0.141825i | \(-0.954703\pi\) |
0.897617 | − | 0.440777i | \(-0.145297\pi\) | |||||||
\(54\) | 1.48887 | 0.202609 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 10.5934 | 1.41560 | ||||||||
\(57\) | 1.25182 | + | 7.90369i | 0.165808 | + | 1.04687i | ||||
\(58\) | −3.20044 | + | 1.63071i | −0.420239 | + | 0.214122i | ||||
\(59\) | −7.03973 | + | 2.28735i | −0.916494 | + | 0.297787i | −0.729028 | − | 0.684484i | \(-0.760028\pi\) |
−0.187466 | + | 0.982271i | \(0.560028\pi\) | |||||||
\(60\) | −1.37177 | − | 2.27226i | −0.177095 | − | 0.293347i | ||||
\(61\) | 2.20276 | + | 3.03184i | 0.282035 | + | 0.388188i | 0.926407 | − | 0.376525i | \(-0.122881\pi\) |
−0.644372 | + | 0.764713i | \(0.722881\pi\) | |||||||
\(62\) | −1.70646 | + | 3.34912i | −0.216721 | + | 0.425338i | ||||
\(63\) | 5.46776 | + | 10.7311i | 0.688872 | + | 1.35199i | ||||
\(64\) | −5.22774 | + | 7.19537i | −0.653468 | + | 0.899421i | ||||
\(65\) | 0.140698 | − | 1.64779i | 0.0174514 | − | 0.204384i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.39407 | + | 9.39407i | −1.14767 | + | 1.14767i | −0.160658 | + | 0.987010i | \(0.551361\pi\) |
−0.987010 | + | 0.160658i | \(0.948639\pi\) | |||||||
\(68\) | 0.284457 | − | 0.0450536i | 0.0344955 | − | 0.00546355i | ||||
\(69\) | 14.7397 | + | 4.78921i | 1.77445 | + | 0.576553i | ||||
\(70\) | −5.07203 | + | 8.15477i | −0.606223 | + | 0.974682i | ||||
\(71\) | −2.92404 | + | 2.12444i | −0.347020 | + | 0.252125i | −0.747618 | − | 0.664129i | \(-0.768802\pi\) |
0.400598 | + | 0.916254i | \(0.368802\pi\) | |||||||
\(72\) | −10.4761 | − | 1.65925i | −1.23462 | − | 0.195544i | ||||
\(73\) | 0.479042 | + | 0.244084i | 0.0560676 | + | 0.0285679i | 0.481800 | − | 0.876281i | \(-0.339983\pi\) |
−0.425732 | + | 0.904849i | \(0.639983\pi\) | |||||||
\(74\) | 0.880415 | − | 2.70964i | 0.102346 | − | 0.314989i | ||||
\(75\) | 12.7195 | + | 0.168899i | 1.46872 | + | 0.0195028i | ||||
\(76\) | − | 1.46752i | − | 0.168336i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.64760 | − | 1.64760i | −0.186554 | − | 0.186554i | ||||
\(79\) | −9.87562 | − | 7.17506i | −1.11109 | − | 0.807257i | −0.128258 | − | 0.991741i | \(-0.540939\pi\) |
−0.982836 | + | 0.184484i | \(0.940939\pi\) | |||||||
\(80\) | −2.39893 | − | 5.90206i | −0.268209 | − | 0.659870i | ||||
\(81\) | 2.27402 | + | 6.99872i | 0.252669 | + | 0.777635i | ||||
\(82\) | −0.197653 | + | 1.24793i | −0.0218271 | + | 0.137811i | ||||
\(83\) | 2.50738 | − | 15.8310i | 0.275220 | − | 1.73767i | −0.332124 | − | 0.943236i | \(-0.607765\pi\) |
0.607345 | − | 0.794438i | \(-0.292235\pi\) | |||||||
\(84\) | −1.27217 | − | 3.91533i | −0.138805 | − | 0.427197i | ||||
\(85\) | −0.536665 | + | 1.27168i | −0.0582095 | + | 0.137933i | ||||
\(86\) | 5.77324 | + | 4.19450i | 0.622544 | + | 0.452305i | ||||
\(87\) | 5.21820 | + | 5.21820i | 0.559450 | + | 0.559450i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 14.6832i | − | 1.55642i | −0.628004 | − | 0.778210i | \(-0.716128\pi\) | ||
0.628004 | − | 0.778210i | \(-0.283872\pi\) | |||||||
\(90\) | 6.29316 | − | 7.27005i | 0.663357 | − | 0.766330i | ||||
\(91\) | 0.792659 | − | 2.43955i | 0.0830933 | − | 0.255735i | ||||
\(92\) | −2.53243 | − | 1.29034i | −0.264024 | − | 0.134527i | ||||
\(93\) | 7.62739 | + | 1.20806i | 0.790924 | + | 0.125270i | ||||
\(94\) | −1.08732 | + | 0.789985i | −0.112149 | + | 0.0814808i | ||||
\(95\) | 5.97230 | + | 3.71459i | 0.612745 | + | 0.381109i | ||||
\(96\) | 6.24404 | + | 2.02881i | 0.637280 | + | 0.207065i | ||||
\(97\) | 14.1742 | − | 2.24498i | 1.43918 | − | 0.227943i | 0.612433 | − | 0.790523i | \(-0.290191\pi\) |
0.826743 | + | 0.562580i | \(0.190191\pi\) | |||||||
\(98\) | −4.40322 | + | 4.40322i | −0.444792 | + | 0.444792i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.29906 | − | 0.395497i | −0.229906 | − | 0.0395497i | ||||
\(101\) | 4.74129 | − | 6.52582i | 0.471776 | − | 0.649343i | −0.505123 | − | 0.863047i | \(-0.668553\pi\) |
0.976898 | + | 0.213704i | \(0.0685528\pi\) | |||||||
\(102\) | 0.882879 | + | 1.73275i | 0.0874180 | + | 0.171568i | ||||
\(103\) | −1.62610 | + | 3.19140i | −0.160224 | + | 0.314458i | −0.957136 | − | 0.289637i | \(-0.906465\pi\) |
0.796912 | + | 0.604095i | \(0.206465\pi\) | |||||||
\(104\) | 1.32782 | + | 1.82759i | 0.130204 | + | 0.179210i | ||||
\(105\) | 19.1541 | + | 4.73320i | 1.86925 | + | 0.461913i | ||||
\(106\) | −5.05742 | + | 1.64326i | −0.491220 | + | 0.159607i | ||||
\(107\) | 5.87754 | − | 2.99476i | 0.568203 | − | 0.289514i | −0.146192 | − | 0.989256i | \(-0.546702\pi\) |
0.714396 | + | 0.699742i | \(0.246702\pi\) | |||||||
\(108\) | 0.0877547 | + | 0.554062i | 0.00844420 | + | 0.0533146i | ||||
\(109\) | 7.21601 | 0.691169 | 0.345584 | − | 0.938388i | \(-0.387681\pi\) | ||||
0.345584 | + | 0.938388i | \(0.387681\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.85345 | −0.555585 | ||||||||
\(112\) | −1.54583 | − | 9.75998i | −0.146067 | − | 0.922231i | ||||
\(113\) | −3.76293 | + | 1.91731i | −0.353987 | + | 0.180365i | −0.621937 | − | 0.783068i | \(-0.713654\pi\) |
0.267950 | + | 0.963433i | \(0.413654\pi\) | |||||||
\(114\) | 9.42429 | − | 3.06214i | 0.882666 | − | 0.286795i | ||||
\(115\) | 11.6613 | − | 7.04000i | 1.08742 | − | 0.656483i | ||||
\(116\) | −0.795480 | − | 1.09488i | −0.0738585 | − | 0.101658i | ||||
\(117\) | −1.16599 | + | 2.28839i | −0.107796 | + | 0.211562i | ||||
\(118\) | 4.16130 | + | 8.16700i | 0.383078 | + | 0.751834i | ||||
\(119\) | −1.25838 | + | 1.73200i | −0.115355 | + | 0.158773i | ||||
\(120\) | −13.2874 | + | 11.1968i | −1.21297 | + | 1.02213i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.28146 | − | 3.28146i | 0.297089 | − | 0.297089i | ||||
\(123\) | 2.56388 | − | 0.406079i | 0.231177 | − | 0.0366149i | ||||
\(124\) | −1.34691 | − | 0.437636i | −0.120956 | − | 0.0393009i | ||||
\(125\) | 7.42892 | − | 8.35530i | 0.664463 | − | 0.747321i | ||||
\(126\) | 12.0657 | − | 8.76624i | 1.07490 | − | 0.780959i | ||||
\(127\) | −12.8252 | − | 2.03131i | −1.13805 | − | 0.180249i | −0.441160 | − | 0.897428i | \(-0.645433\pi\) |
−0.696889 | + | 0.717179i | \(0.745433\pi\) | |||||||
\(128\) | 5.21450 | + | 2.65692i | 0.460901 | + | 0.234841i | ||||
\(129\) | 4.53055 | − | 13.9436i | 0.398893 | − | 1.22767i | ||||
\(130\) | −2.04263 | + | 0.147120i | −0.179150 | + | 0.0129033i | ||||
\(131\) | 17.2362i | 1.50593i | 0.658058 | + | 0.752967i | \(0.271378\pi\) | ||||
−0.658058 | + | 0.752967i | \(0.728622\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.71373 | + | 7.71373i | 0.668866 | + | 0.668866i | ||||
\(134\) | 13.3094 | + | 9.66985i | 1.14976 | + | 0.835348i | ||||
\(135\) | −2.47696 | − | 1.04531i | −0.213183 | − | 0.0899659i | ||||
\(136\) | −0.582627 | − | 1.79314i | −0.0499598 | − | 0.153761i | ||||
\(137\) | −0.899771 | + | 5.68093i | −0.0768726 | + | 0.485355i | 0.918975 | + | 0.394316i | \(0.129019\pi\) |
−0.995847 | + | 0.0910383i | \(0.970981\pi\) | |||||||
\(138\) | 3.00225 | − | 18.9554i | 0.255568 | − | 1.61359i | ||||
\(139\) | 3.96034 | + | 12.1887i | 0.335911 | + | 1.03383i | 0.966271 | + | 0.257526i | \(0.0829072\pi\) |
−0.630360 | + | 0.776303i | \(0.717093\pi\) | |||||||
\(140\) | −3.33363 | − | 1.40684i | −0.281743 | − | 0.118899i | ||||
\(141\) | 2.23391 | + | 1.62303i | 0.188129 | + | 0.136684i | ||||
\(142\) | 3.16478 | + | 3.16478i | 0.265582 | + | 0.265582i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 9.89404i | 0.824503i | ||||||||
\(145\) | 6.46932 | − | 0.465952i | 0.537247 | − | 0.0386952i | ||||
\(146\) | 0.205735 | − | 0.633186i | 0.0170267 | − | 0.0524029i | ||||
\(147\) | 11.3992 | + | 5.80816i | 0.940187 | + | 0.479049i | ||||
\(148\) | 1.06025 | + | 0.167926i | 0.0871517 | + | 0.0138035i | ||||
\(149\) | −15.5159 | + | 11.2729i | −1.27111 | + | 0.923516i | −0.999246 | − | 0.0388196i | \(-0.987640\pi\) |
−0.271864 | + | 0.962336i | \(0.587640\pi\) | |||||||
\(150\) | −2.25740 | − | 15.5896i | −0.184316 | − | 1.27289i | ||||
\(151\) | −17.9966 | − | 5.84744i | −1.46454 | − | 0.475858i | −0.535087 | − | 0.844797i | \(-0.679721\pi\) |
−0.929453 | + | 0.368939i | \(0.879721\pi\) | |||||||
\(152\) | −9.48891 | + | 1.50289i | −0.769652 | + | 0.121901i | ||||
\(153\) | 1.51573 | − | 1.51573i | 0.122539 | − | 0.122539i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.19031 | − | 4.37369i | 0.416896 | − | 0.351303i | ||||
\(156\) | 0.516021 | − | 0.710242i | 0.0413147 | − | 0.0568648i | ||||
\(157\) | 5.57575 | + | 10.9430i | 0.444993 | + | 0.873348i | 0.999161 | + | 0.0409433i | \(0.0130363\pi\) |
−0.554169 | + | 0.832404i | \(0.686964\pi\) | |||||||
\(158\) | −6.86255 | + | 13.4685i | −0.545955 | + | 1.07150i | ||||
\(159\) | 6.42167 | + | 8.83867i | 0.509272 | + | 0.700952i | ||||
\(160\) | 4.93997 | − | 2.98229i | 0.390539 | − | 0.235771i | ||||
\(161\) | 20.0936 | − | 6.52881i | 1.58360 | − | 0.514542i | ||||
\(162\) | 8.11943 | − | 4.13705i | 0.637922 | − | 0.325038i | ||||
\(163\) | −1.51746 | − | 9.58089i | −0.118857 | − | 0.750433i | −0.973070 | − | 0.230510i | \(-0.925961\pi\) |
0.854213 | − | 0.519923i | \(-0.174039\pi\) | |||||||
\(164\) | −0.476050 | −0.0371733 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19.8481 | −1.54051 | ||||||||
\(167\) | 1.77387 | + | 11.1998i | 0.137266 | + | 0.866665i | 0.956187 | + | 0.292758i | \(0.0945730\pi\) |
−0.818920 | + | 0.573907i | \(0.805427\pi\) | |||||||
\(168\) | −24.0134 | + | 12.2354i | −1.85268 | + | 0.943985i | ||||
\(169\) | −11.8435 | + | 3.84819i | −0.911039 | + | 0.296014i | ||||
\(170\) | 1.65932 | + | 0.410037i | 0.127264 | + | 0.0314484i | ||||
\(171\) | −6.42012 | − | 8.83654i | −0.490959 | − | 0.675747i | ||||
\(172\) | −1.22065 | + | 2.39566i | −0.0930735 | + | 0.182667i | ||||
\(173\) | −2.08551 | − | 4.09304i | −0.158558 | − | 0.311188i | 0.798037 | − | 0.602609i | \(-0.205872\pi\) |
−0.956595 | + | 0.291421i | \(0.905872\pi\) | |||||||
\(174\) | 5.37139 | − | 7.39309i | 0.407204 | − | 0.560469i | ||||
\(175\) | 14.1634 | − | 10.0057i | 1.07065 | − | 0.756361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.3160 | − | 13.3160i | 1.00089 | − | 1.00089i | ||||
\(178\) | −17.9587 | + | 2.84438i | −1.34606 | + | 0.213195i | ||||
\(179\) | −2.61615 | − | 0.850038i | −0.195540 | − | 0.0635348i | 0.209610 | − | 0.977785i | \(-0.432781\pi\) |
−0.405150 | + | 0.914250i | \(0.632781\pi\) | |||||||
\(180\) | 3.07637 | + | 1.91341i | 0.229299 | + | 0.142617i | ||||
\(181\) | 5.78299 | − | 4.20159i | 0.429847 | − | 0.312302i | −0.351741 | − | 0.936097i | \(-0.614410\pi\) |
0.781588 | + | 0.623796i | \(0.214410\pi\) | |||||||
\(182\) | −3.13730 | − | 0.496900i | −0.232552 | − | 0.0368327i | ||||
\(183\) | −8.49512 | − | 4.32848i | −0.627977 | − | 0.319970i | ||||
\(184\) | −5.74977 | + | 17.6960i | −0.423879 | + | 1.30456i | ||||
\(185\) | −3.36710 | + | 3.88977i | −0.247554 | + | 0.285982i | ||||
\(186\) | − | 9.56288i | − | 0.701184i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −0.358069 | − | 0.358069i | −0.0261149 | − | 0.0261149i | ||||
\(189\) | −3.37358 | − | 2.45105i | −0.245392 | − | 0.178287i | ||||
\(190\) | 3.38629 | − | 8.02413i | 0.245667 | − | 0.582132i | ||||
\(191\) | −1.07660 | − | 3.31343i | −0.0779000 | − | 0.239751i | 0.904521 | − | 0.426428i | \(-0.140228\pi\) |
−0.982421 | + | 0.186677i | \(0.940228\pi\) | |||||||
\(192\) | 3.53970 | − | 22.3488i | 0.255456 | − | 1.61289i | ||||
\(193\) | −1.69941 | + | 10.7297i | −0.122326 | + | 0.772339i | 0.847903 | + | 0.530151i | \(0.177865\pi\) |
−0.970229 | + | 0.242187i | \(0.922135\pi\) | |||||||
\(194\) | −5.49154 | − | 16.9012i | −0.394270 | − | 1.21344i | ||||
\(195\) | 1.58428 | + | 3.89779i | 0.113453 | + | 0.279126i | ||||
\(196\) | −1.89812 | − | 1.37907i | −0.135580 | − | 0.0985048i | ||||
\(197\) | −11.3729 | − | 11.3729i | −0.810285 | − | 0.810285i | 0.174391 | − | 0.984676i | \(-0.444204\pi\) |
−0.984676 | + | 0.174391i | \(0.944204\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 27.7479i | 1.96700i | 0.180916 | + | 0.983499i | \(0.442094\pi\) | ||||
−0.180916 | + | 0.983499i | \(0.557906\pi\) | |||||||
\(200\) | −0.202775 | + | 15.2706i | −0.0143383 | + | 1.07980i | ||||
\(201\) | 10.4446 | − | 32.1450i | 0.736702 | − | 2.26734i | ||||
\(202\) | −8.90002 | − | 4.53478i | −0.626203 | − | 0.319066i | ||||
\(203\) | 9.93632 | + | 1.57376i | 0.697393 | + | 0.110456i | ||||
\(204\) | −0.592780 | + | 0.430680i | −0.0415029 | + | 0.0301536i | ||||
\(205\) | 1.20498 | − | 1.93736i | 0.0841593 | − | 0.135311i | ||||
\(206\) | 4.21832 | + | 1.37061i | 0.293904 | + | 0.0954952i | ||||
\(207\) | −20.8937 | + | 3.30924i | −1.45222 | + | 0.230008i | ||||
\(208\) | 1.49005 | − | 1.49005i | 0.103316 | − | 0.103316i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.07860 | − | 24.3438i | 0.143437 | − | 1.67988i | ||||
\(211\) | 12.0969 | − | 16.6499i | 0.832783 | − | 1.14623i | −0.154616 | − | 0.987975i | \(-0.549414\pi\) |
0.987399 | − | 0.158253i | \(-0.0505861\pi\) | |||||||
\(212\) | −0.909601 | − | 1.78519i | −0.0624717 | − | 0.122608i | ||||
\(213\) | 4.17457 | − | 8.19305i | 0.286037 | − | 0.561379i | ||||
\(214\) | −4.80138 | − | 6.60853i | −0.328215 | − | 0.451750i | ||||
\(215\) | −6.65977 | − | 11.0315i | −0.454193 | − | 0.752341i | ||||
\(216\) | 3.49266 | − | 1.13483i | 0.237645 | − | 0.0772156i | ||||
\(217\) | 9.38008 | − | 4.77939i | 0.636762 | − | 0.324446i | ||||
\(218\) | −1.39785 | − | 8.82571i | −0.0946747 | − | 0.597752i | ||||
\(219\) | −1.36783 | −0.0924293 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.456539 | −0.0307102 | ||||||||
\(222\) | 1.13390 | + | 7.15919i | 0.0761027 | + | 0.480494i | ||||
\(223\) | −7.13943 | + | 3.63772i | −0.478092 | + | 0.243600i | −0.676393 | − | 0.736541i | \(-0.736458\pi\) |
0.198301 | + | 0.980141i | \(0.436458\pi\) | |||||||
\(224\) | 8.51207 | − | 2.76574i | 0.568737 | − | 0.184794i | ||||
\(225\) | −15.5738 | + | 7.67651i | −1.03825 | + | 0.511767i | ||||
\(226\) | 3.07395 | + | 4.23093i | 0.204476 | + | 0.281437i | ||||
\(227\) | 1.40684 | − | 2.76108i | 0.0933752 | − | 0.183259i | −0.839595 | − | 0.543213i | \(-0.817208\pi\) |
0.932970 | + | 0.359954i | \(0.117208\pi\) | |||||||
\(228\) | 1.69500 | + | 3.32663i | 0.112254 | + | 0.220312i | ||||
\(229\) | −8.65269 | + | 11.9094i | −0.571786 | + | 0.786996i | −0.992765 | − | 0.120075i | \(-0.961687\pi\) |
0.420979 | + | 0.907070i | \(0.361687\pi\) | |||||||
\(230\) | −10.8694 | − | 12.8989i | −0.716707 | − | 0.850526i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.26480 | + | 6.26480i | −0.411304 | + | 0.411304i | ||||
\(233\) | −13.7737 | + | 2.18153i | −0.902343 | + | 0.142917i | −0.590331 | − | 0.807161i | \(-0.701003\pi\) |
−0.312012 | + | 0.950078i | \(0.601003\pi\) | |||||||
\(234\) | 3.02474 | + | 0.982797i | 0.197733 | + | 0.0642474i | ||||
\(235\) | 2.36356 | − | 0.550871i | 0.154182 | − | 0.0359348i | ||||
\(236\) | −2.79397 | + | 2.02993i | −0.181872 | + | 0.132137i | ||||
\(237\) | 30.6737 | + | 4.85823i | 1.99247 | + | 0.315576i | ||||
\(238\) | 2.36214 | + | 1.20357i | 0.153114 | + | 0.0780157i | ||||
\(239\) | 0.994372 | − | 3.06036i | 0.0643206 | − | 0.197958i | −0.913732 | − | 0.406318i | \(-0.866812\pi\) |
0.978052 | + | 0.208360i | \(0.0668125\pi\) | |||||||
\(240\) | 12.2549 | + | 10.6082i | 0.791052 | + | 0.684757i | ||||
\(241\) | 15.0738i | 0.970989i | 0.874240 | + | 0.485494i | \(0.161360\pi\) | ||||
−0.874240 | + | 0.485494i | \(0.838640\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.7890 | − | 15.7890i | −1.01286 | − | 1.01286i | ||||
\(244\) | 1.41456 | + | 1.02774i | 0.0905578 | + | 0.0657941i | ||||
\(245\) | 10.4168 | − | 4.23400i | 0.665508 | − | 0.270500i | ||||
\(246\) | −0.993328 | − | 3.05715i | −0.0633323 | − | 0.194917i | ||||
\(247\) | −0.363914 | + | 2.29766i | −0.0231553 | + | 0.146197i | ||||
\(248\) | −1.45036 | + | 9.15719i | −0.0920978 | + | 0.581482i | ||||
\(249\) | 12.6011 | + | 38.7822i | 0.798563 | + | 2.45772i | ||||
\(250\) | −11.6582 | − | 7.46756i | −0.737332 | − | 0.472290i | ||||
\(251\) | 1.62075 | + | 1.17755i | 0.102301 | + | 0.0743261i | 0.637760 | − | 0.770235i | \(-0.279861\pi\) |
−0.535459 | + | 0.844561i | \(0.679861\pi\) | |||||||
\(252\) | 3.97339 | + | 3.97339i | 0.250300 | + | 0.250300i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 16.0796i | 1.00892i | ||||||||
\(255\) | −0.252271 | − | 3.50254i | −0.0157978 | − | 0.219338i | ||||
\(256\) | −3.25730 | + | 10.0249i | −0.203581 | + | 0.626558i | ||||
\(257\) | 3.39515 | + | 1.72992i | 0.211784 | + | 0.107909i | 0.556665 | − | 0.830737i | \(-0.312081\pi\) |
−0.344881 | + | 0.938646i | \(0.612081\pi\) | |||||||
\(258\) | −17.9317 | − | 2.84010i | −1.11638 | − | 0.176817i | ||||
\(259\) | −6.45564 | + | 4.69029i | −0.401134 | + | 0.291441i | ||||
\(260\) | −0.175142 | − | 0.751464i | −0.0108619 | − | 0.0466038i | ||||
\(261\) | −9.57981 | − | 3.11267i | −0.592975 | − | 0.192669i | ||||
\(262\) | 21.0811 | − | 3.33892i | 1.30240 | − | 0.206279i | ||||
\(263\) | 0.123512 | − | 0.123512i | 0.00761605 | − | 0.00761605i | −0.703289 | − | 0.710905i | \(-0.748286\pi\) |
0.710905 | + | 0.703289i | \(0.248286\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.56749 | + | 0.816924i | 0.587726 | + | 0.0501832i | ||||
\(266\) | 7.94019 | − | 10.9287i | 0.486844 | − | 0.670083i | ||||
\(267\) | 16.9593 | + | 33.2845i | 1.03789 | + | 2.03698i | ||||
\(268\) | −2.81403 | + | 5.52285i | −0.171894 | + | 0.337362i | ||||
\(269\) | −4.07057 | − | 5.60266i | −0.248187 | − | 0.341600i | 0.666688 | − | 0.745337i | \(-0.267711\pi\) |
−0.914875 | + | 0.403736i | \(0.867711\pi\) | |||||||
\(270\) | −0.798664 | + | 3.23200i | −0.0486051 | + | 0.196693i | ||||
\(271\) | −21.7421 | + | 7.06444i | −1.32074 | + | 0.429134i | −0.882748 | − | 0.469846i | \(-0.844309\pi\) |
−0.437990 | + | 0.898980i | \(0.644309\pi\) | |||||||
\(272\) | −1.56705 | + | 0.798453i | −0.0950166 | + | 0.0484134i | ||||
\(273\) | 1.02088 | + | 6.44560i | 0.0617866 | + | 0.390105i | ||||
\(274\) | 7.12249 | 0.430285 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.23096 | 0.435252 | ||||||||
\(277\) | −0.579798 | − | 3.66070i | −0.0348367 | − | 0.219950i | 0.964128 | − | 0.265437i | \(-0.0855161\pi\) |
−0.998965 | + | 0.0454867i | \(0.985516\pi\) | |||||||
\(278\) | 14.1404 | − | 7.20491i | 0.848087 | − | 0.432122i | ||||
\(279\) | −10.0248 | + | 3.25726i | −0.600171 | + | 0.195007i | ||||
\(280\) | −5.68253 | + | 22.9958i | −0.339596 | + | 1.37426i | ||||
\(281\) | −1.88843 | − | 2.59920i | −0.112654 | − | 0.155055i | 0.748967 | − | 0.662608i | \(-0.230550\pi\) |
−0.861621 | + | 0.507552i | \(0.830550\pi\) | |||||||
\(282\) | 1.55234 | − | 3.04663i | 0.0924404 | − | 0.181424i | ||||
\(283\) | 9.60409 | + | 18.8491i | 0.570904 | + | 1.12046i | 0.978297 | + | 0.207209i | \(0.0664380\pi\) |
−0.407393 | + | 0.913253i | \(0.633562\pi\) | |||||||
\(284\) | −0.991193 | + | 1.36426i | −0.0588165 | + | 0.0809540i | ||||
\(285\) | −17.8286 | − | 1.52230i | −1.05608 | − | 0.0901735i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.50226 | − | 2.50226i | 0.147704 | − | 0.147704i | ||||
\(288\) | −8.85103 | + | 1.40187i | −0.521552 | + | 0.0826057i | ||||
\(289\) | −15.8056 | − | 5.13554i | −0.929740 | − | 0.302091i | ||||
\(290\) | −1.82310 | − | 7.82218i | −0.107056 | − | 0.459334i | ||||
\(291\) | −29.5377 | + | 21.4604i | −1.73153 | + | 1.25803i | ||||
\(292\) | 0.247757 | + | 0.0392409i | 0.0144989 | + | 0.00229640i | ||||
\(293\) | −25.5655 | − | 13.0263i | −1.49355 | − | 0.761003i | −0.499135 | − | 0.866524i | \(-0.666349\pi\) |
−0.994417 | + | 0.105522i | \(0.966349\pi\) | |||||||
\(294\) | 4.89561 | − | 15.0671i | 0.285518 | − | 0.878733i | ||||
\(295\) | −1.18903 | − | 16.5086i | −0.0692282 | − | 0.961169i | ||||
\(296\) | − | 7.02745i | − | 0.408462i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.7933 | + | 16.7933i | 0.972810 | + | 0.972810i | ||||
\(299\) | 3.64498 | + | 2.64824i | 0.210795 | + | 0.153151i | ||||
\(300\) | 5.66840 | − | 1.75892i | 0.327265 | − | 0.101551i | ||||
\(301\) | −6.17619 | − | 19.0084i | −0.355990 | − | 1.09562i | ||||
\(302\) | −3.66563 | + | 23.1439i | −0.210933 | + | 1.33178i | ||||
\(303\) | −3.21032 | + | 20.2692i | −0.184428 | + | 1.16443i | ||||
\(304\) | 2.76932 | + | 8.52309i | 0.158831 | + | 0.488833i | ||||
\(305\) | −7.76306 | + | 3.15535i | −0.444511 | + | 0.180675i | ||||
\(306\) | −2.14747 | − | 1.56023i | −0.122762 | − | 0.0891922i | ||||
\(307\) | 13.1727 | + | 13.1727i | 0.751808 | + | 0.751808i | 0.974817 | − | 0.223008i | \(-0.0715877\pi\) |
−0.223008 | + | 0.974817i | \(0.571588\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 9.11254i | − | 0.518394i | ||||||
\(310\) | −6.35479 | − | 5.50088i | −0.360928 | − | 0.312429i | ||||
\(311\) | −5.26395 | + | 16.2008i | −0.298491 | + | 0.918662i | 0.683535 | + | 0.729918i | \(0.260442\pi\) |
−0.982026 | + | 0.188744i | \(0.939558\pi\) | |||||||
\(312\) | −5.12083 | − | 2.60920i | −0.289910 | − | 0.147717i | ||||
\(313\) | −15.5843 | − | 2.46831i | −0.880878 | − | 0.139517i | −0.300419 | − | 0.953807i | \(-0.597127\pi\) |
−0.580459 | + | 0.814290i | \(0.697127\pi\) | |||||||
\(314\) | 12.3040 | − | 8.93938i | 0.694355 | − | 0.504478i | ||||
\(315\) | −26.2277 | + | 6.11285i | −1.47777 | + | 0.344420i | ||||
\(316\) | −5.41660 | − | 1.75996i | −0.304708 | − | 0.0990055i | ||||
\(317\) | 6.55505 | − | 1.03822i | 0.368168 | − | 0.0583121i | 0.0303906 | − | 0.999538i | \(-0.490325\pi\) |
0.337777 | + | 0.941226i | \(0.390325\pi\) | |||||||
\(318\) | 9.56636 | − | 9.56636i | 0.536455 | − | 0.536455i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −12.8152 | − | 15.2080i | −0.716393 | − | 0.850153i | ||||
\(321\) | −9.86444 | + | 13.5772i | −0.550580 | + | 0.757808i | ||||
\(322\) | −11.8777 | − | 23.3112i | −0.661916 | − | 1.29908i | ||||
\(323\) | 0.881455 | − | 1.72995i | 0.0490455 | − | 0.0962572i | ||||
\(324\) | 2.01811 | + | 2.77769i | 0.112117 | + | 0.154316i | ||||
\(325\) | 3.50151 | + | 1.18934i | 0.194229 | + | 0.0659726i | ||||
\(326\) | −11.4242 | + | 3.71194i | −0.632726 | + | 0.205585i | ||||
\(327\) | −16.3575 | + | 8.33457i | −0.904572 | + | 0.460903i | ||||
\(328\) | 0.487524 | + | 3.07811i | 0.0269190 | + | 0.169960i | ||||
\(329\) | 3.76424 | 0.207529 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.0774 | 0.663835 | 0.331918 | − | 0.943308i | \(-0.392304\pi\) | ||||
0.331918 | + | 0.943308i | \(0.392304\pi\) | |||||||
\(332\) | −1.16986 | − | 7.38620i | −0.0642044 | − | 0.405371i | ||||
\(333\) | 7.11881 | − | 3.62721i | 0.390108 | − | 0.198770i | ||||
\(334\) | 13.3545 | − | 4.33915i | 0.730727 | − | 0.237428i | ||||
\(335\) | −15.3532 | − | 25.4316i | −0.838834 | − | 1.38947i | ||||
\(336\) | 14.7770 | + | 20.3388i | 0.806152 | + | 1.10957i | ||||
\(337\) | 4.42090 | − | 8.67650i | 0.240822 | − | 0.472639i | −0.738685 | − | 0.674051i | \(-0.764553\pi\) |
0.979507 | + | 0.201412i | \(0.0645529\pi\) | |||||||
\(338\) | 7.00089 | + | 13.7400i | 0.380798 | + | 0.747358i | ||||
\(339\) | 6.31543 | − | 8.69245i | 0.343007 | − | 0.472109i | ||||
\(340\) | −0.0547883 | + | 0.641659i | −0.00297131 | + | 0.0347988i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −9.56405 | + | 9.56405i | −0.517165 | + | 0.517165i | ||||
\(343\) | −6.75288 | + | 1.06955i | −0.364621 | + | 0.0577503i | ||||
\(344\) | 16.7402 | + | 5.43923i | 0.902572 | + | 0.293263i | ||||
\(345\) | −18.3030 | + | 29.4274i | −0.985400 | + | 1.58432i | ||||
\(346\) | −4.60209 | + | 3.34361i | −0.247410 | + | 0.179754i | ||||
\(347\) | 24.0399 | + | 3.80755i | 1.29053 | + | 0.204400i | 0.763700 | − | 0.645571i | \(-0.223380\pi\) |
0.526830 | + | 0.849971i | \(0.323380\pi\) | |||||||
\(348\) | 3.06783 | + | 1.56314i | 0.164453 | + | 0.0837929i | ||||
\(349\) | −5.81871 | + | 17.9081i | −0.311468 | + | 0.958601i | 0.665716 | + | 0.746206i | \(0.268126\pi\) |
−0.977184 | + | 0.212395i | \(0.931874\pi\) | |||||||
\(350\) | −14.9814 | − | 15.3846i | −0.800789 | − | 0.822343i | ||||
\(351\) | − | 0.889241i | − | 0.0474642i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.39206 | − | 5.39206i | −0.286990 | − | 0.286990i | 0.548899 | − | 0.835889i | \(-0.315047\pi\) |
−0.835889 | + | 0.548899i | \(0.815047\pi\) | |||||||
\(354\) | −18.8659 | − | 13.7069i | −1.00271 | − | 0.728514i | ||||
\(355\) | −3.04315 | − | 7.48702i | −0.161514 | − | 0.397370i | ||||
\(356\) | −2.11699 | − | 6.51542i | −0.112200 | − | 0.345316i | ||||
\(357\) | 0.852046 | − | 5.37961i | 0.0450951 | − | 0.284719i | ||||
\(358\) | −0.532870 | + | 3.36441i | −0.0281630 | + | 0.177814i | ||||
\(359\) | −4.73408 | − | 14.5700i | −0.249855 | − | 0.768975i | −0.994800 | − | 0.101849i | \(-0.967524\pi\) |
0.744945 | − | 0.667126i | \(-0.232476\pi\) | |||||||
\(360\) | 9.22146 | − | 21.8511i | 0.486014 | − | 1.15166i | ||||
\(361\) | 7.36746 | + | 5.35278i | 0.387761 | + | 0.281725i | ||||
\(362\) | −6.25911 | − | 6.25911i | −0.328971 | − | 0.328971i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 1.19679i | − | 0.0627289i | ||||||
\(365\) | −0.786820 | + | 0.908959i | −0.0411841 | + | 0.0475771i | ||||
\(366\) | −3.64841 | + | 11.2286i | −0.190705 | + | 0.586930i | ||||
\(367\) | 2.04965 | + | 1.04435i | 0.106991 | + | 0.0545147i | 0.506667 | − | 0.862142i | \(-0.330877\pi\) |
−0.399676 | + | 0.916656i | \(0.630877\pi\) | |||||||
\(368\) | 17.1428 | + | 2.71516i | 0.893632 | + | 0.141537i | ||||
\(369\) | −2.86649 | + | 2.08262i | −0.149223 | + | 0.108417i | ||||
\(370\) | 5.40973 | + | 3.36469i | 0.281239 | + | 0.174922i | ||||
\(371\) | 14.1646 | + | 4.60237i | 0.735391 | + | 0.238943i | ||||
\(372\) | 3.55869 | − | 0.563641i | 0.184509 | − | 0.0292234i | ||||
\(373\) | 22.9215 | − | 22.9215i | 1.18683 | − | 1.18683i | 0.208889 | − | 0.977939i | \(-0.433015\pi\) |
0.977939 | − | 0.208889i | \(-0.0669847\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.18969 | + | 27.5206i | −0.371274 | + | 1.42116i | ||||
\(376\) | −1.94855 | + | 2.68195i | −0.100489 | + | 0.138311i | ||||
\(377\) | 0.973955 | + | 1.91150i | 0.0501613 | + | 0.0984470i | ||||
\(378\) | −2.34429 | + | 4.60094i | −0.120577 | + | 0.236647i | ||||
\(379\) | 6.66251 | + | 9.17016i | 0.342230 | + | 0.471040i | 0.945091 | − | 0.326807i | \(-0.105973\pi\) |
−0.602861 | + | 0.797846i | \(0.705973\pi\) | |||||||
\(380\) | 3.18566 | + | 0.787213i | 0.163421 | + | 0.0403832i | ||||
\(381\) | 31.4187 | − | 10.2086i | 1.60963 | − | 0.523000i | ||||
\(382\) | −3.84401 | + | 1.95862i | −0.196677 | + | 0.100212i | ||||
\(383\) | −0.220649 | − | 1.39312i | −0.0112746 | − | 0.0711853i | 0.981409 | − | 0.191926i | \(-0.0614732\pi\) |
−0.992684 | + | 0.120740i | \(0.961473\pi\) | |||||||
\(384\) | −14.8892 | −0.759810 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.4524 | 0.684708 | ||||||||
\(387\) | 3.13051 | + | 19.7653i | 0.159133 | + | 1.00473i | ||||
\(388\) | 5.96588 | − | 3.03977i | 0.302872 | − | 0.154321i | ||||
\(389\) | 29.3392 | − | 9.53288i | 1.48756 | − | 0.483336i | 0.551196 | − | 0.834376i | \(-0.314172\pi\) |
0.936361 | + | 0.351040i | \(0.114172\pi\) | |||||||
\(390\) | 4.46038 | − | 2.69275i | 0.225860 | − | 0.136353i | ||||
\(391\) | −2.21026 | − | 3.04217i | −0.111778 | − | 0.153849i | ||||
\(392\) | −6.97308 | + | 13.6854i | −0.352194 | + | 0.691220i | ||||
\(393\) | −19.9080 | − | 39.0716i | −1.00423 | − | 1.97090i | ||||
\(394\) | −11.7068 | + | 16.1130i | −0.589778 | + | 0.811760i | ||||
\(395\) | 20.8729 | − | 17.5888i | 1.05023 | − | 0.884991i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.24852 | − | 6.24852i | 0.313604 | − | 0.313604i | −0.532700 | − | 0.846304i | \(-0.678823\pi\) |
0.846304 | + | 0.532700i | \(0.178823\pi\) | |||||||
\(398\) | 33.9377 | − | 5.37521i | 1.70114 | − | 0.269435i | ||||
\(399\) | −26.3952 | − | 8.57632i | −1.32141 | − | 0.429353i | ||||
\(400\) | 14.0989 | − | 2.04153i | 0.704943 | − | 0.102077i | ||||
\(401\) | 10.8605 | − | 7.89065i | 0.542350 | − | 0.394040i | −0.282607 | − | 0.959236i | \(-0.591199\pi\) |
0.824957 | + | 0.565196i | \(0.191199\pi\) | |||||||
\(402\) | −41.3390 | − | 6.54746i | −2.06180 | − | 0.326557i | ||||
\(403\) | 2.00029 | + | 1.01920i | 0.0996417 | + | 0.0507700i | ||||
\(404\) | 1.16298 | − | 3.57930i | 0.0578606 | − | 0.178077i | ||||
\(405\) | −16.4125 | + | 1.18211i | −0.815541 | + | 0.0587394i | ||||
\(406\) | − | 12.4577i | − | 0.618266i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 3.39181 | + | 3.39181i | 0.167920 | + | 0.167920i | ||||
\(409\) | −1.00869 | − | 0.732854i | −0.0498764 | − | 0.0362373i | 0.562568 | − | 0.826751i | \(-0.309814\pi\) |
−0.612444 | + | 0.790514i | \(0.709814\pi\) | |||||||
\(410\) | −2.60295 | − | 1.09848i | −0.128551 | − | 0.0542500i | ||||
\(411\) | −4.52190 | − | 13.9170i | −0.223049 | − | 0.686474i | ||||
\(412\) | −0.261425 | + | 1.65057i | −0.0128795 | + | 0.0813178i | ||||
\(413\) | 4.01597 | − | 25.3558i | 0.197613 | − | 1.24768i | ||||
\(414\) | 8.09489 | + | 24.9135i | 0.397842 | + | 1.22443i | ||||
\(415\) | 33.0204 | + | 13.9350i | 1.62091 | + | 0.684044i | ||||
\(416\) | 1.54409 | + | 1.12185i | 0.0757054 | + | 0.0550032i | ||||
\(417\) | −23.0555 | − | 23.0555i | −1.12903 | − | 1.12903i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 20.5995i | − | 1.00635i | −0.864185 | − | 0.503175i | \(-0.832165\pi\) | ||
0.864185 | − | 0.503175i | \(-0.167835\pi\) | |||||||
\(420\) | 9.18170 | − | 0.661312i | 0.448021 | − | 0.0322687i | ||||
\(421\) | −2.45180 | + | 7.54585i | −0.119493 | + | 0.367762i | −0.992858 | − | 0.119305i | \(-0.961933\pi\) |
0.873364 | + | 0.487067i | \(0.161933\pi\) | |||||||
\(422\) | −22.7074 | − | 11.5700i | −1.10538 | − | 0.563219i | ||||
\(423\) | −3.72256 | − | 0.589595i | −0.180997 | − | 0.0286671i | ||||
\(424\) | −10.6114 | + | 7.70964i | −0.515336 | + | 0.374413i | ||||
\(425\) | −2.47265 | − | 1.84714i | −0.119941 | − | 0.0895993i | ||||
\(426\) | −10.8294 | − | 3.51868i | −0.524685 | − | 0.170481i | ||||
\(427\) | −12.8374 | + | 2.03325i | −0.621247 | + | 0.0983958i | ||||
\(428\) | 2.17627 | − | 2.17627i | 0.105194 | − | 0.105194i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.2022 | + | 10.2824i | −0.588443 | + | 0.495859i | ||||
\(431\) | −17.5233 | + | 24.1187i | −0.844066 | + | 1.16176i | 0.141073 | + | 0.989999i | \(0.454945\pi\) |
−0.985139 | + | 0.171758i | \(0.945055\pi\) | |||||||
\(432\) | −1.55522 | − | 3.05229i | −0.0748254 | − | 0.146853i | ||||
\(433\) | 4.66690 | − | 9.15931i | 0.224277 | − | 0.440168i | −0.751259 | − | 0.660007i | \(-0.770553\pi\) |
0.975536 | + | 0.219839i | \(0.0705532\pi\) | |||||||
\(434\) | −7.66261 | − | 10.5467i | −0.367817 | − | 0.506257i | ||||
\(435\) | −14.1267 | + | 8.52836i | −0.677323 | + | 0.408904i | ||||
\(436\) | 3.20197 | − | 1.04038i | 0.153347 | − | 0.0498253i | ||||
\(437\) | −17.0724 | + | 8.69882i | −0.816683 | + | 0.416121i | ||||
\(438\) | 0.264970 | + | 1.67295i | 0.0126608 | + | 0.0799369i | ||||
\(439\) | −30.3973 | −1.45078 | −0.725392 | − | 0.688336i | \(-0.758341\pi\) | ||||
−0.725392 | + | 0.688336i | \(0.758341\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.4625 | −0.831548 | ||||||||
\(442\) | 0.0884388 | + | 0.558381i | 0.00420661 | + | 0.0265595i | ||||
\(443\) | −10.0089 | + | 5.09977i | −0.475536 | + | 0.242298i | −0.675295 | − | 0.737547i | \(-0.735984\pi\) |
0.199760 | + | 0.979845i | \(0.435984\pi\) | |||||||
\(444\) | −2.59736 | + | 0.843933i | −0.123265 | + | 0.0400513i | ||||
\(445\) | 31.8740 | + | 7.87643i | 1.51097 | + | 0.373379i | ||||
\(446\) | 5.83222 | + | 8.02736i | 0.276164 | + | 0.380106i | ||||
\(447\) | 22.1516 | − | 43.4749i | 1.04773 | − | 2.05629i | ||||
\(448\) | −14.0040 | − | 27.4843i | −0.661625 | − | 1.29851i | ||||
\(449\) | −11.4854 | + | 15.8083i | −0.542029 | + | 0.746038i | −0.988904 | − | 0.148558i | \(-0.952537\pi\) |
0.446875 | + | 0.894596i | \(0.352537\pi\) | |||||||
\(450\) | 12.4058 | + | 17.5608i | 0.584816 | + | 0.827826i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.39330 | + | 1.39330i | −0.0655353 | + | 0.0655353i | ||||
\(453\) | 47.5491 | − | 7.53104i | 2.23405 | − | 0.353839i | ||||
\(454\) | −3.64952 | − | 1.18580i | −0.171281 | − | 0.0556525i | ||||
\(455\) | 4.87051 | + | 3.02932i | 0.228333 | + | 0.142017i | ||||
\(456\) | 19.7739 | − | 14.3666i | 0.925999 | − | 0.672778i | ||||
\(457\) | −11.6280 | − | 1.84169i | −0.543934 | − | 0.0861506i | −0.121580 | − | 0.992582i | \(-0.538796\pi\) |
−0.422354 | + | 0.906431i | \(0.638796\pi\) | |||||||
\(458\) | 16.2422 | + | 8.27583i | 0.758950 | + | 0.386704i | ||||
\(459\) | −0.229345 | + | 0.705851i | −0.0107049 | + | 0.0329463i | ||||
\(460\) | 4.15948 | − | 4.80516i | 0.193937 | − | 0.224042i | ||||
\(461\) | 26.5631i | 1.23717i | 0.785719 | + | 0.618583i | \(0.212293\pi\) | ||||
−0.785719 | + | 0.618583i | \(0.787707\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.4258 | − | 14.4258i | −0.670424 | − | 0.670424i | 0.287390 | − | 0.957814i | \(-0.407213\pi\) |
−0.957814 | + | 0.287390i | \(0.907213\pi\) | |||||||
\(464\) | 6.68613 | + | 4.85776i | 0.310396 | + | 0.225516i | ||||
\(465\) | −6.71393 | + | 15.9093i | −0.311351 | + | 0.737776i | ||||
\(466\) | 5.33635 | + | 16.4236i | 0.247202 | + | 0.760809i | ||||
\(467\) | 2.92185 | − | 18.4479i | 0.135207 | − | 0.853665i | −0.823094 | − | 0.567905i | \(-0.807754\pi\) |
0.958301 | − | 0.285760i | \(-0.0922460\pi\) | |||||||
\(468\) | −0.187454 | + | 1.18354i | −0.00866508 | + | 0.0547091i | ||||
\(469\) | −14.2384 | − | 43.8211i | −0.657466 | − | 2.02347i | ||||
\(470\) | −1.13161 | − | 2.78409i | −0.0521974 | − | 0.128421i | ||||
\(471\) | −25.2786 | − | 18.3660i | −1.16478 | − | 0.846259i | ||||
\(472\) | 15.9867 | + | 15.9867i | 0.735849 | + | 0.735849i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 38.4572i | − | 1.76640i | ||||||
\(475\) | −11.2672 | + | 10.9719i | −0.516975 | + | 0.503426i | ||||
\(476\) | −0.308665 | + | 0.949974i | −0.0141477 | + | 0.0435420i | ||||
\(477\) | −13.2869 | − | 6.77003i | −0.608367 | − | 0.309978i | ||||
\(478\) | −3.93567 | − | 0.623349i | −0.180013 | − | 0.0285113i | ||||
\(479\) | 5.89894 | − | 4.28583i | 0.269529 | − | 0.195824i | −0.444808 | − | 0.895626i | \(-0.646728\pi\) |
0.714337 | + | 0.699801i | \(0.246728\pi\) | |||||||
\(480\) | −7.75353 | + | 12.4661i | −0.353899 | + | 0.568996i | ||||
\(481\) | −1.61836 | − | 0.525836i | −0.0737907 | − | 0.0239761i | ||||
\(482\) | 18.4364 | − | 2.92003i | 0.839753 | − | 0.133004i | ||||
\(483\) | −38.0080 | + | 38.0080i | −1.72943 | + | 1.72943i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.73005 | + | 31.9733i | −0.123965 | + | 1.45183i | ||||
\(486\) | −16.2525 | + | 22.3696i | −0.737227 | + | 1.01471i | ||||
\(487\) | −12.3998 | − | 24.3359i | −0.561887 | − | 1.10277i | −0.980850 | − | 0.194762i | \(-0.937606\pi\) |
0.418963 | − | 0.908003i | \(-0.362394\pi\) | |||||||
\(488\) | 5.19663 | − | 10.1990i | 0.235240 | − | 0.461685i | ||||
\(489\) | 14.5059 | + | 19.9656i | 0.655978 | + | 0.902876i | ||||
\(490\) | −7.19639 | − | 11.9204i | −0.325100 | − | 0.538507i | ||||
\(491\) | −14.6344 | + | 4.75501i | −0.660441 | + | 0.214590i | −0.620012 | − | 0.784592i | \(-0.712872\pi\) |
−0.0404290 | + | 0.999182i | \(0.512872\pi\) | |||||||
\(492\) | 1.07913 | − | 0.549843i | 0.0486508 | − | 0.0247888i | ||||
\(493\) | −0.280099 | − | 1.76848i | −0.0126150 | − | 0.0796482i | ||||
\(494\) | 2.88070 | 0.129609 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.64843 | 0.388326 | ||||||||
\(497\) | −1.96095 | − | 12.3810i | −0.0879607 | − | 0.555362i | ||||
\(498\) | 44.9925 | − | 22.9248i | 2.01616 | − | 1.02728i | ||||
\(499\) | 2.18059 | − | 0.708518i | 0.0976168 | − | 0.0317176i | −0.259801 | − | 0.965662i | \(-0.583657\pi\) |
0.357418 | + | 0.933944i | \(0.383657\pi\) | |||||||
\(500\) | 2.09180 | − | 4.77859i | 0.0935483 | − | 0.213705i | ||||
\(501\) | −16.9569 | − | 23.3392i | −0.757580 | − | 1.04272i | ||||
\(502\) | 1.12626 | − | 2.21041i | 0.0502674 | − | 0.0986554i | ||||
\(503\) | −11.8941 | − | 23.3435i | −0.530331 | − | 1.04083i | −0.988394 | − | 0.151914i | \(-0.951456\pi\) |
0.458063 | − | 0.888920i | \(-0.348544\pi\) | |||||||
\(504\) | 21.6225 | − | 29.7608i | 0.963144 | − | 1.32565i | ||||
\(505\) | 11.6227 | + | 13.7929i | 0.517205 | + | 0.613774i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 22.4026 | − | 22.4026i | 0.994933 | − | 0.994933i | ||||
\(508\) | −5.98379 | + | 0.947740i | −0.265488 | + | 0.0420492i | ||||
\(509\) | −27.8741 | − | 9.05685i | −1.23550 | − | 0.401438i | −0.382795 | − | 0.923833i | \(-0.625038\pi\) |
−0.852703 | + | 0.522396i | \(0.825038\pi\) | |||||||
\(510\) | −4.23499 | + | 0.987043i | −0.187529 | + | 0.0437070i | ||||
\(511\) | −1.50855 | + | 1.09602i | −0.0667342 | + | 0.0484853i | ||||
\(512\) | 24.4528 | + | 3.87295i | 1.08067 | + | 0.171162i | ||||
\(513\) | 3.36958 | + | 1.71689i | 0.148771 | + | 0.0758024i | ||||
\(514\) | 1.45812 | − | 4.48763i | 0.0643149 | − | 0.197941i | ||||
\(515\) | −6.05552 | − | 5.24183i | −0.266838 | − | 0.230983i | ||||
\(516\) | − | 6.84042i | − | 0.301133i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 6.98713 | + | 6.98713i | 0.306997 | + | 0.306997i | ||||
\(519\) | 9.45500 | + | 6.86946i | 0.415029 | + | 0.301536i | ||||
\(520\) | −4.67955 | + | 1.90204i | −0.205212 | + | 0.0834098i | ||||
\(521\) | 13.7242 | + | 42.2387i | 0.601267 | + | 1.85051i | 0.520660 | + | 0.853764i | \(0.325686\pi\) |
0.0806068 | + | 0.996746i | \(0.474314\pi\) | |||||||
\(522\) | −1.95126 | + | 12.3198i | −0.0854044 | + | 0.539222i | ||||
\(523\) | 4.17433 | − | 26.3557i | 0.182531 | − | 1.15245i | −0.710913 | − | 0.703280i | \(-0.751718\pi\) |
0.893444 | − | 0.449174i | \(-0.148282\pi\) | |||||||
\(524\) | 2.48507 | + | 7.64825i | 0.108561 | + | 0.334115i | ||||
\(525\) | −20.5494 | + | 39.0402i | −0.896850 | + | 1.70385i | ||||
\(526\) | −0.174990 | − | 0.127138i | −0.00762992 | − | 0.00554346i | ||||
\(527\) | −1.32491 | − | 1.32491i | −0.0577138 | − | 0.0577138i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.1095i | 0.613457i | ||||||||
\(530\) | −0.854215 | − | 11.8600i | −0.0371047 | − | 0.515165i | ||||
\(531\) | −7.94302 | + | 24.4461i | −0.344698 | + | 1.06087i | ||||
\(532\) | 4.53497 | + | 2.31068i | 0.196616 | + | 0.100181i | ||||
\(533\) | 0.745339 | + | 0.118050i | 0.0322842 | + | 0.00511332i | ||||
\(534\) | 37.4241 | − | 27.1902i | 1.61950 | − | 1.17663i | ||||
\(535\) | 3.34808 | + | 14.3653i | 0.144750 | + | 0.621064i | ||||
\(536\) | 38.5923 | + | 12.5394i | 1.66693 | + | 0.541619i | ||||
\(537\) | 6.91218 | − | 1.09478i | 0.298283 | − | 0.0472433i | ||||
\(538\) | −6.06393 | + | 6.06393i | −0.261435 | + | 0.261435i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.24982 | − | 0.106716i | −0.0537835 | − | 0.00459232i | ||||
\(541\) | 23.7232 | − | 32.6521i | 1.01994 | − | 1.40383i | 0.107692 | − | 0.994184i | \(-0.465654\pi\) |
0.912247 | − | 0.409641i | \(-0.134346\pi\) | |||||||
\(542\) | 12.8521 | + | 25.2237i | 0.552045 | + | 1.08345i | ||||
\(543\) | −8.25621 | + | 16.2037i | −0.354308 | + | 0.695369i | ||||
\(544\) | −0.936314 | − | 1.28873i | −0.0401441 | − | 0.0552537i | ||||
\(545\) | −3.87084 | + | 15.6643i | −0.165808 | + | 0.670986i | ||||
\(546\) | 7.68567 | − | 2.49723i | 0.328916 | − | 0.106871i | ||||
\(547\) | 32.5859 | − | 16.6033i | 1.39327 | − | 0.709907i | 0.413589 | − | 0.910464i | \(-0.364275\pi\) |
0.979682 | + | 0.200557i | \(0.0642752\pi\) | |||||||
\(548\) | 0.419803 | + | 2.65053i | 0.0179331 | + | 0.113225i | ||||
\(549\) | 13.0138 | 0.555414 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.12363 | −0.388680 | ||||||||
\(552\) | −7.40525 | − | 46.7549i | −0.315188 | − | 1.99002i | ||||
\(553\) | 37.7221 | − | 19.2204i | 1.60411 | − | 0.817334i | ||||
\(554\) | −4.36499 | + | 1.41827i | −0.185450 | + | 0.0602565i | ||||
\(555\) | 3.13992 | − | 12.7065i | 0.133282 | − | 0.539361i | ||||
\(556\) | 3.51465 | + | 4.83750i | 0.149054 | + | 0.205156i | ||||
\(557\) | −14.7567 | + | 28.9617i | −0.625262 | + | 1.22715i | 0.333451 | + | 0.942768i | \(0.391787\pi\) |
−0.958712 | + | 0.284378i | \(0.908213\pi\) | |||||||
\(558\) | 5.92584 | + | 11.6301i | 0.250861 | + | 0.492342i | ||||
\(559\) | 2.50521 | − | 3.44812i | 0.105959 | − | 0.145840i | ||||
\(560\) | 22.0159 | + | 1.87984i | 0.930342 | + | 0.0794376i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.81320 | + | 2.81320i | −0.118667 | + | 0.118667i | ||||
\(563\) | 2.84614 | − | 0.450784i | 0.119950 | − | 0.0189983i | −0.0961706 | − | 0.995365i | \(-0.530659\pi\) |
0.216121 | + | 0.976367i | \(0.430659\pi\) | |||||||
\(564\) | 1.22526 | + | 0.398110i | 0.0515926 | + | 0.0167635i | ||||
\(565\) | −2.14352 | − | 9.19695i | −0.0901785 | − | 0.386919i | ||||
\(566\) | 21.1933 | − | 15.3979i | 0.890823 | − | 0.647221i | ||||
\(567\) | −25.2081 | − | 3.99258i | −1.05864 | − | 0.167672i | ||||
\(568\) | 9.83631 | + | 5.01185i | 0.412722 | + | 0.210292i | ||||
\(569\) | 0.0580098 | − | 0.178536i | 0.00243190 | − | 0.00748462i | −0.949833 | − | 0.312757i | \(-0.898747\pi\) |
0.952265 | + | 0.305272i | \(0.0987475\pi\) | |||||||
\(570\) | 1.59179 | + | 22.1006i | 0.0666729 | + | 0.925692i | ||||
\(571\) | − | 46.3235i | − | 1.93858i | −0.245922 | − | 0.969290i | \(-0.579091\pi\) | ||
0.245922 | − | 0.969290i | \(-0.420909\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.26752 | + | 6.26752i | 0.261829 | + | 0.261829i | ||||
\(574\) | −3.54517 | − | 2.57572i | −0.147973 | − | 0.107508i | ||||
\(575\) | 9.02683 | + | 29.0904i | 0.376445 | + | 1.21316i | ||||
\(576\) | 9.54402 | + | 29.3735i | 0.397668 | + | 1.22389i | ||||
\(577\) | 2.91176 | − | 18.3841i | 0.121218 | − | 0.765341i | −0.849936 | − | 0.526887i | \(-0.823359\pi\) |
0.971154 | − | 0.238454i | \(-0.0766408\pi\) | |||||||
\(578\) | −3.21935 | + | 20.3262i | −0.133907 | + | 0.845459i | ||||
\(579\) | −8.54059 | − | 26.2852i | −0.354935 | − | 1.09238i | ||||
\(580\) | 2.80346 | − | 1.13948i | 0.116407 | − | 0.0473145i | ||||
\(581\) | 44.9732 | + | 32.6749i | 1.86580 | + | 1.35558i | ||||
\(582\) | 31.9695 | + | 31.9695i | 1.32518 | + | 1.32518i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 1.64217i | − | 0.0679535i | ||||||
\(585\) | −4.34211 | − | 3.75865i | −0.179524 | − | 0.155401i | ||||
\(586\) | −10.9796 | + | 33.7918i | −0.453565 | + | 1.39593i | ||||
\(587\) | 21.2076 | + | 10.8058i | 0.875332 | + | 0.446004i | 0.833112 | − | 0.553104i | \(-0.186557\pi\) |
0.0422202 | + | 0.999108i | \(0.486557\pi\) | |||||||
\(588\) | 5.89557 | + | 0.933767i | 0.243129 | + | 0.0385079i | ||||
\(589\) | −7.72406 | + | 5.61186i | −0.318264 | + | 0.231233i | ||||
\(590\) | −19.9609 | + | 4.65225i | −0.821778 | + | 0.191530i | ||||
\(591\) | 38.9163 | + | 12.6447i | 1.60080 | + | 0.520132i | ||||
\(592\) | −6.47460 | + | 1.02548i | −0.266104 | + | 0.0421468i | ||||
\(593\) | −24.6819 | + | 24.6819i | −1.01356 | + | 1.01356i | −0.0136582 | + | 0.999907i | \(0.504348\pi\) |
−0.999907 | + | 0.0136582i | \(0.995652\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.08477 | − | 3.66073i | −0.126463 | − | 0.150075i | ||||
\(596\) | −5.25959 | + | 7.23920i | −0.215441 | + | 0.296529i | ||||
\(597\) | −32.0491 | − | 62.8999i | −1.31168 | − | 2.57432i | ||||
\(598\) | 2.53290 | − | 4.97109i | 0.103578 | − | 0.203283i | ||||
\(599\) | −7.09888 | − | 9.77077i | −0.290052 | − | 0.399223i | 0.638979 | − | 0.769224i | \(-0.279357\pi\) |
−0.929031 | + | 0.370002i | \(0.879357\pi\) | |||||||
\(600\) | −17.1781 | − | 34.8502i | −0.701292 | − | 1.42275i | ||||
\(601\) | 16.3818 | − | 5.32276i | 0.668226 | − | 0.217120i | 0.0447926 | − | 0.998996i | \(-0.485737\pi\) |
0.623433 | + | 0.781877i | \(0.285737\pi\) | |||||||
\(602\) | −22.0522 | + | 11.2361i | −0.898780 | + | 0.457951i | ||||
\(603\) | 7.21697 | + | 45.5661i | 0.293898 | + | 1.85560i | ||||
\(604\) | −8.82871 | −0.359235 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 25.4126 | 1.03232 | ||||||||
\(607\) | −1.33089 | − | 8.40291i | −0.0540191 | − | 0.341063i | −0.999865 | − | 0.0164466i | \(-0.994765\pi\) |
0.945846 | − | 0.324617i | \(-0.105235\pi\) | |||||||
\(608\) | −7.23223 | + | 3.68500i | −0.293305 | + | 0.149447i | ||||
\(609\) | −24.3417 | + | 7.90910i | −0.986376 | + | 0.320493i | ||||
\(610\) | 5.36305 | + | 8.88354i | 0.217143 | + | 0.359684i | ||||
\(611\) | 0.471826 | + | 0.649413i | 0.0190880 | + | 0.0262724i | ||||
\(612\) | 0.454043 | − | 0.891110i | 0.0183536 | − | 0.0360210i | ||||
\(613\) | 14.7536 | + | 28.9555i | 0.595891 | + | 1.16950i | 0.970224 | + | 0.242208i | \(0.0778715\pi\) |
−0.374334 | + | 0.927294i | \(0.622128\pi\) | |||||||
\(614\) | 13.5595 | − | 18.6630i | 0.547215 | − | 0.753177i | ||||
\(615\) | −0.493820 | + | 5.78343i | −0.0199128 | + | 0.233210i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.2515 | + | 22.2515i | −0.895812 | + | 0.895812i | −0.995062 | − | 0.0992505i | \(-0.968355\pi\) |
0.0992505 | + | 0.995062i | \(0.468355\pi\) | |||||||
\(618\) | −11.1453 | + | 1.76524i | −0.448330 | + | 0.0710084i | ||||
\(619\) | 26.5623 | + | 8.63062i | 1.06763 | + | 0.346894i | 0.789564 | − | 0.613668i | \(-0.210307\pi\) |
0.278066 | + | 0.960562i | \(0.410307\pi\) | |||||||
\(620\) | 1.67252 | − | 2.68907i | 0.0671700 | − | 0.107996i | ||||
\(621\) | 5.92549 | − | 4.30512i | 0.237782 | − | 0.172759i | ||||
\(622\) | 20.8345 | + | 3.29985i | 0.835385 | + | 0.132312i | ||||
\(623\) | 45.3745 | + | 23.1195i | 1.81789 | + | 0.926261i | ||||
\(624\) | −1.65667 | + | 5.09872i | −0.0663200 | + | 0.204112i | ||||
\(625\) | 14.1524 | + | 20.6085i | 0.566096 | + | 0.824339i | ||||
\(626\) | 19.5389i | 0.780932i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.05187 | + | 4.05187i | 0.161687 | + | 0.161687i | ||||
\(629\) | 1.14898 | + | 0.834784i | 0.0458129 | + | 0.0332850i | ||||
\(630\) | 12.5572 | + | 30.8943i | 0.500290 | + | 1.23086i | ||||
\(631\) | −8.94674 | − | 27.5352i | −0.356164 | − | 1.09616i | −0.955331 | − | 0.295537i | \(-0.904501\pi\) |
0.599167 | − | 0.800624i | \(-0.295499\pi\) | |||||||
\(632\) | −5.83263 | + | 36.8258i | −0.232010 | + | 1.46485i | ||||
\(633\) | −8.19079 | + | 51.7146i | −0.325555 | + | 2.05547i | ||||
\(634\) | −2.53963 | − | 7.81618i | −0.100862 | − | 0.310420i | ||||
\(635\) | 11.2892 | − | 26.7508i | 0.447999 | − | 1.06158i | ||||
\(636\) | 4.12383 | + | 2.99614i | 0.163521 | + | 0.118805i | ||||
\(637\) | 2.62986 | + | 2.62986i | 0.104199 | + | 0.104199i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 12.5510i | 0.496511i | ||||||||
\(640\) | −8.56474 | + | 9.89425i | −0.338551 | + | 0.391105i | ||||
\(641\) | 13.1040 | − | 40.3300i | 0.517578 | − | 1.59294i | −0.260965 | − | 0.965348i | \(-0.584041\pi\) |
0.778542 | − | 0.627592i | \(-0.215959\pi\) | |||||||
\(642\) | 18.5169 | + | 9.43481i | 0.730802 | + | 0.372362i | ||||
\(643\) | 2.98003 | + | 0.471991i | 0.117521 | + | 0.0186135i | 0.214918 | − | 0.976632i | \(-0.431052\pi\) |
−0.0973969 | + | 0.995246i | \(0.531052\pi\) | |||||||
\(644\) | 7.97486 | − | 5.79407i | 0.314253 | − | 0.228318i | ||||
\(645\) | 27.8381 | + | 17.3145i | 1.09612 | + | 0.681756i | ||||
\(646\) | −2.28661 | − | 0.742965i | −0.0899655 | − | 0.0292316i | ||||
\(647\) | 8.18585 | − | 1.29651i | 0.321819 | − | 0.0509711i | 0.00656491 | − | 0.999978i | \(-0.497910\pi\) |
0.315254 | + | 0.949007i | \(0.397910\pi\) | |||||||
\(648\) | 15.8936 | − | 15.8936i | 0.624360 | − | 0.624360i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.776348 | − | 4.51300i | 0.0304509 | − | 0.177014i | ||||
\(651\) | −15.7429 | + | 21.6682i | −0.617011 | + | 0.849243i | ||||
\(652\) | −2.05469 | − | 4.03256i | −0.0804679 | − | 0.157927i | ||||
\(653\) | 6.04989 | − | 11.8736i | 0.236750 | − | 0.464649i | −0.741810 | − | 0.670611i | \(-0.766032\pi\) |
0.978560 | + | 0.205962i | \(0.0660322\pi\) | |||||||
\(654\) | 13.3625 | + | 18.3919i | 0.522515 | + | 0.719180i | ||||
\(655\) | −37.4159 | − | 9.24590i | −1.46196 | − | 0.361267i | ||||
\(656\) | 2.76481 | − | 0.898341i | 0.107948 | − | 0.0350743i | ||||
\(657\) | 1.66352 | − | 0.847604i | 0.0649000 | − | 0.0330682i | ||||
\(658\) | −0.729191 | − | 4.60393i | −0.0284268 | − | 0.179480i | ||||
\(659\) | −12.1943 | −0.475023 | −0.237511 | − | 0.971385i | \(-0.576332\pi\) | ||||
−0.237511 | + | 0.971385i | \(0.576332\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1589 | 0.550718 | 0.275359 | − | 0.961341i | \(-0.411203\pi\) | ||||
0.275359 | + | 0.961341i | \(0.411203\pi\) | |||||||
\(662\) | −2.33959 | − | 14.7716i | −0.0909307 | − | 0.574114i | ||||
\(663\) | 1.03490 | − | 0.527308i | 0.0401922 | − | 0.0204789i | ||||
\(664\) | −46.5606 | + | 15.1285i | −1.80690 | + | 0.587099i | ||||
\(665\) | −20.8826 | + | 12.6069i | −0.809792 | + | 0.488876i | ||||
\(666\) | −5.81537 | − | 8.00417i | −0.225341 | − | 0.310155i | ||||
\(667\) | −8.02207 | + | 15.7442i | −0.310616 | + | 0.609618i | ||||
\(668\) | 2.40187 | + | 4.71394i | 0.0929313 | + | 0.182388i | ||||
\(669\) | 11.9823 | − | 16.4922i | 0.463263 | − | 0.637626i | ||||
\(670\) | −28.1305 | + | 23.7046i | −1.08678 | + | 0.915787i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.1010 | + | 16.1010i | −0.621110 | + | 0.621110i | ||||
\(673\) | 22.9181 | − | 3.62987i | 0.883428 | − | 0.139921i | 0.301795 | − | 0.953373i | \(-0.402414\pi\) |
0.581633 | + | 0.813452i | \(0.302414\pi\) | |||||||
\(674\) | −11.4684 | − | 3.72630i | −0.441746 | − | 0.143532i | ||||
\(675\) | 3.59783 | − | 4.81619i | 0.138480 | − | 0.185375i | ||||
\(676\) | −4.70051 | + | 3.41512i | −0.180789 | + | 0.131351i | ||||
\(677\) | 34.8480 | + | 5.51938i | 1.33932 | + | 0.212127i | 0.784647 | − | 0.619943i | \(-0.212844\pi\) |
0.554671 | + | 0.832070i | \(0.312844\pi\) | |||||||
\(678\) | −11.8549 | − | 6.04037i | −0.455285 | − | 0.231979i | ||||
\(679\) | −15.3805 | + | 47.3364i | −0.590250 | + | 1.81660i | ||||
\(680\) | 4.20503 | − | 0.302868i | 0.161256 | − | 0.0116144i | ||||
\(681\) | 7.88382i | 0.302109i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.64701 | − | 7.64701i | −0.292605 | − | 0.292605i | 0.545504 | − | 0.838108i | \(-0.316338\pi\) |
−0.838108 | + | 0.545504i | \(0.816338\pi\) | |||||||
\(684\) | −4.12284 | − | 2.99542i | −0.157641 | − | 0.114533i | ||||
\(685\) | −11.8493 | − | 5.00058i | −0.452740 | − | 0.191062i | ||||
\(686\) | 2.61628 | + | 8.05207i | 0.0998899 | + | 0.307429i | ||||
\(687\) | 5.85874 | − | 36.9906i | 0.223525 | − | 1.41128i | ||||
\(688\) | 2.56851 | − | 16.2170i | 0.0979237 | − | 0.618266i | ||||
\(689\) | 0.981450 | + | 3.02059i | 0.0373903 | + | 0.115075i | ||||
\(690\) | 39.5375 | + | 16.6853i | 1.50517 | + | 0.635200i | ||||
\(691\) | −23.8737 | − | 17.3453i | −0.908198 | − | 0.659845i | 0.0323602 | − | 0.999476i | \(-0.489698\pi\) |
−0.940559 | + | 0.339631i | \(0.889698\pi\) | |||||||
\(692\) | −1.51553 | − | 1.51553i | −0.0576117 | − | 0.0576117i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 30.1402i | − | 1.14410i | ||||||
\(695\) | −28.5832 | + | 2.05871i | −1.08422 | + | 0.0780912i | ||||
\(696\) | 6.96536 | − | 21.4372i | 0.264021 | − | 0.812574i | ||||
\(697\) | −0.561180 | − | 0.285936i | −0.0212562 | − | 0.0108306i | ||||
\(698\) | 23.0301 | + | 3.64761i | 0.871703 | + | 0.138064i | ||||
\(699\) | 28.7029 | − | 20.8539i | 1.08564 | − | 0.788767i | ||||
\(700\) | 4.84216 | − | 6.48189i | 0.183016 | − | 0.244993i | ||||
\(701\) | 7.02004 | + | 2.28095i | 0.265143 | + | 0.0861502i | 0.438572 | − | 0.898696i | \(-0.355485\pi\) |
−0.173429 | + | 0.984846i | \(0.555485\pi\) | |||||||
\(702\) | −1.08761 | + | 0.172260i | −0.0410491 | + | 0.00650154i | ||||
\(703\) | 5.11715 | − | 5.11715i | 0.192997 | − | 0.192997i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.72154 | + | 3.97867i | −0.177823 | + | 0.149845i | ||||
\(706\) | −5.55035 | + | 7.63941i | −0.208890 | + | 0.287513i | ||||
\(707\) | 12.7009 | + | 24.9268i | 0.477665 | + | 0.937470i | ||||
\(708\) | 3.98886 | − | 7.82859i | 0.149911 | − | 0.294216i | ||||
\(709\) | −28.9371 | − | 39.8285i | −1.08676 | − | 1.49579i | −0.851860 | − | 0.523770i | \(-0.824525\pi\) |
−0.234896 | − | 0.972021i | \(-0.575475\pi\) | |||||||
\(710\) | −8.56767 | + | 5.17235i | −0.321539 | + | 0.194115i | ||||
\(711\) | −40.3150 | + | 13.0991i | −1.51193 | + | 0.491256i | ||||
\(712\) | −39.9603 | + | 20.3608i | −1.49757 | + | 0.763052i | ||||
\(713\) | 2.89263 | + | 18.2633i | 0.108330 | + | 0.683967i | ||||
\(714\) | −6.74471 | −0.252414 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.28342 | −0.0479638 | ||||||||
\(717\) | 1.28067 | + | 8.08585i | 0.0478276 | + | 0.301971i | ||||
\(718\) | −16.9031 | + | 8.61256i | −0.630818 | + | 0.321418i | ||||
\(719\) | 5.52889 | − | 1.79645i | 0.206193 | − | 0.0669961i | −0.204100 | − | 0.978950i | \(-0.565427\pi\) |
0.410292 | + | 0.911954i | \(0.365427\pi\) | |||||||
\(720\) | −21.4777 | − | 5.30739i | −0.800427 | − | 0.197795i | ||||
\(721\) | −7.30176 | − | 10.0500i | −0.271932 | − | 0.374282i | ||||
\(722\) | 5.11964 | − | 10.0479i | 0.190533 | − | 0.373943i | ||||
\(723\) | −17.4104 | − | 34.1698i | −0.647499 | − | 1.27079i | ||||
\(724\) | 1.96032 | − | 2.69815i | 0.0728549 | − | 0.100276i | ||||
\(725\) | −2.45881 | + | 14.2934i | −0.0913181 | + | 0.530842i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.3755 | − | 20.3755i | 0.755685 | − | 0.755685i | −0.219849 | − | 0.975534i | \(-0.570556\pi\) |
0.975534 | + | 0.219849i | \(0.0705565\pi\) | |||||||
\(728\) | −7.73837 | + | 1.22564i | −0.286803 | + | 0.0454251i | ||||
\(729\) | 33.0312 | + | 10.7325i | 1.22338 | + | 0.397500i | ||||
\(730\) | 1.26414 | + | 0.786259i | 0.0467880 | + | 0.0291008i | ||||
\(731\) | −2.87786 | + | 2.09089i | −0.106442 | + | 0.0773343i | ||||
\(732\) | −4.39362 | − | 0.695881i | −0.162393 | − | 0.0257205i | ||||
\(733\) | −21.4002 | − | 10.9040i | −0.790436 | − | 0.402747i | 0.0116676 | − | 0.999932i | \(-0.496286\pi\) |
−0.802104 | + | 0.597185i | \(0.796286\pi\) | |||||||
\(734\) | 0.880267 | − | 2.70918i | 0.0324913 | − | 0.0999978i | ||||
\(735\) | −18.7230 | + | 21.6293i | −0.690607 | + | 0.797810i | ||||
\(736\) | 15.7204i | 0.579461i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 3.10248 | + | 3.10248i | 0.114204 | + | 0.114204i | ||||
\(739\) | 16.5881 | + | 12.0520i | 0.610205 | + | 0.443340i | 0.849486 | − | 0.527611i | \(-0.176912\pi\) |
−0.239282 | + | 0.970950i | \(0.576912\pi\) | |||||||
\(740\) | −0.933270 | + | 2.21147i | −0.0343077 | + | 0.0812953i | ||||
\(741\) | −1.82889 | − | 5.62875i | −0.0671860 | − | 0.206777i | ||||
\(742\) | 2.88512 | − | 18.2159i | 0.105916 | − | 0.668728i | ||||
\(743\) | −0.435663 | + | 2.75067i | −0.0159829 | + | 0.100912i | −0.994390 | − | 0.105774i | \(-0.966268\pi\) |
0.978407 | + | 0.206686i | \(0.0662680\pi\) | |||||||
\(744\) | −7.28893 | − | 22.4330i | −0.267225 | − | 0.822435i | ||||
\(745\) | −16.1479 | − | 39.7285i | −0.591614 | − | 1.45554i | ||||
\(746\) | −32.4749 | − | 23.5944i | −1.18899 | − | 0.863851i | ||||
\(747\) | −39.3574 | − | 39.3574i | −1.44001 | − | 1.44001i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.8783i | 0.835955i | ||||||||
\(750\) | 35.0524 | + | 3.46234i | 1.27993 | + | 0.126427i | ||||
\(751\) | −1.41439 | + | 4.35304i | −0.0516117 | + | 0.158845i | −0.973540 | − | 0.228515i | \(-0.926613\pi\) |
0.921929 | + | 0.387360i | \(0.126613\pi\) | |||||||
\(752\) | 2.75530 | + | 1.40390i | 0.100475 | + | 0.0511948i | ||||
\(753\) | −5.03406 | − | 0.797317i | −0.183451 | − | 0.0290558i | ||||
\(754\) | 2.14923 | − | 1.56151i | 0.0782702 | − | 0.0568667i | ||||
\(755\) | 22.3472 | − | 35.9297i | 0.813299 | − | 1.30762i | ||||
\(756\) | −1.85035 | − | 0.601214i | −0.0672965 | − | 0.0218659i | ||||
\(757\) | −24.5990 | + | 3.89610i | −0.894066 | + | 0.141606i | −0.586527 | − | 0.809930i | \(-0.699505\pi\) |
−0.307539 | + | 0.951536i | \(0.599505\pi\) | |||||||
\(758\) | 9.92515 | − | 9.92515i | 0.360498 | − | 0.360498i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.82763 | − | 21.4044i | 0.0662950 | − | 0.776420i | ||||
\(761\) | 20.4218 | − | 28.1082i | 0.740289 | − | 1.01892i | −0.258313 | − | 0.966061i | \(-0.583166\pi\) |
0.998602 | − | 0.0528595i | \(-0.0168335\pi\) | |||||||
\(762\) | −18.5721 | − | 36.4498i | −0.672796 | − | 1.32044i | ||||
\(763\) | −11.3619 | + | 22.2991i | −0.411330 | + | 0.807281i | ||||
\(764\) | −0.955442 | − | 1.31505i | −0.0345667 | − | 0.0475769i | ||||
\(765\) | 2.47723 | + | 4.10337i | 0.0895644 | + | 0.148358i | ||||
\(766\) | −1.66115 | + | 0.539740i | −0.0600198 | + | 0.0195016i | ||||
\(767\) | 4.87782 | − | 2.48537i | 0.176128 | − | 0.0897416i | ||||
\(768\) | −4.19514 | − | 26.4871i | −0.151379 | − | 0.955770i | ||||
\(769\) | 7.47240 | 0.269462 | 0.134731 | − | 0.990882i | \(-0.456983\pi\) | ||||
0.134731 | + | 0.990882i | \(0.456983\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.69432 | −0.349133 | ||||||||
\(772\) | 0.792890 | + | 5.00611i | 0.0285367 | + | 0.180174i | ||||
\(773\) | 28.3541 | − | 14.4472i | 1.01983 | − | 0.519628i | 0.137618 | − | 0.990485i | \(-0.456055\pi\) |
0.882209 | + | 0.470857i | \(0.156055\pi\) | |||||||
\(774\) | 23.5680 | − | 7.65769i | 0.847133 | − | 0.275250i | ||||
\(775\) | 6.71008 | + | 13.6131i | 0.241033 | + | 0.488998i | ||||
\(776\) | −25.7646 | − | 35.4620i | −0.924896 | − | 1.27301i | ||||
\(777\) | 9.21653 | − | 18.0885i | 0.330641 | − | 0.648920i | ||||
\(778\) | −17.3429 | − | 34.0373i | −0.621772 | − | 1.22030i | ||||
\(779\) | −1.88638 | + | 2.59637i | −0.0675864 | + | 0.0930247i | ||||
\(780\) | 1.26497 | + | 1.50115i | 0.0452931 | + | 0.0537499i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −3.29263 | + | 3.29263i | −0.117744 | + | 0.117744i | ||||
\(783\) | 3.44462 | − | 0.545574i | 0.123101 | − | 0.0194972i | ||||
\(784\) | 13.6263 | + | 4.42747i | 0.486655 | + | 0.158124i | ||||
\(785\) | −26.7458 | + | 6.23358i | −0.954597 | + | 0.222486i | ||||
\(786\) | −43.9310 | + | 31.9177i | −1.56697 | + | 1.13847i | ||||
\(787\) | 12.5902 | + | 1.99409i | 0.448793 | + | 0.0710818i | 0.376740 | − | 0.926319i | \(-0.377045\pi\) |
0.0720527 | + | 0.997401i | \(0.477045\pi\) | |||||||
\(788\) | −6.68622 | − | 3.40680i | −0.238187 | − | 0.121362i | ||||
\(789\) | −0.137323 | + | 0.422638i | −0.00488884 | + | 0.0150463i | ||||
\(790\) | −25.5559 | − | 22.1219i | −0.909236 | − | 0.787061i | ||||
\(791\) | − | 14.6472i | − | 0.520794i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.95988 | − | 1.95988i | −0.0695974 | − | 0.0695974i | ||||
\(794\) | −8.85283 | − | 6.43196i | −0.314175 | − | 0.228262i | ||||
\(795\) | −22.6315 | + | 9.19871i | −0.802656 | + | 0.326245i | ||||
\(796\) | 4.00061 | + | 12.3126i | 0.141798 | + | 0.436409i | ||||
\(797\) | −4.13557 | + | 26.1109i | −0.146489 | + | 0.924897i | 0.799492 | + | 0.600676i | \(0.205102\pi\) |
−0.945982 | + | 0.324221i | \(0.894898\pi\) | |||||||
\(798\) | −5.37630 | + | 33.9446i | −0.190319 | + | 1.20163i | ||||
\(799\) | −0.207030 | − | 0.637173i | −0.00732419 | − | 0.0225415i | ||||
\(800\) | 3.82396 | + | 12.3233i | 0.135197 | + | 0.435695i | ||||
\(801\) | −41.2509 | − | 29.9705i | −1.45753 | − | 1.05896i | ||||
\(802\) | −11.7547 | − | 11.7547i | −0.415073 | − | 0.415073i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 15.7696i | − | 0.556152i | ||||||
\(805\) | 3.39388 | + | 47.1208i | 0.119618 | + | 1.66079i | ||||
\(806\) | 0.859068 | − | 2.64394i | 0.0302594 | − | 0.0931287i | ||||
\(807\) | 15.6984 | + | 7.99876i | 0.552612 | + | 0.281570i | ||||
\(808\) | −24.3345 | − | 3.85421i | −0.856085 | − | 0.135591i | ||||
\(809\) | −25.5930 | + | 18.5944i | −0.899802 | + | 0.653744i | −0.938415 | − | 0.345510i | \(-0.887706\pi\) |
0.0386135 | + | 0.999254i | \(0.487706\pi\) | |||||||
\(810\) | 4.62515 | + | 19.8446i | 0.162511 | + | 0.697269i | ||||
\(811\) | −34.1604 | − | 11.0994i | −1.19953 | − | 0.389752i | −0.359944 | − | 0.932974i | \(-0.617204\pi\) |
−0.839589 | + | 0.543222i | \(0.817204\pi\) | |||||||
\(812\) | 4.63596 | − | 0.734264i | 0.162690 | − | 0.0257676i | ||||
\(813\) | 41.1263 | − | 41.1263i | 1.44236 | − | 1.44236i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 21.6119 | + | 1.84534i | 0.757033 | + | 0.0646396i | ||||
\(816\) | 2.63003 | − | 3.61992i | 0.0920694 | − | 0.126723i | ||||
\(817\) | 8.22900 | + | 16.1503i | 0.287896 | + | 0.565028i | ||||
\(818\) | −0.700936 | + | 1.37566i | −0.0245076 | + | 0.0480989i | ||||
\(819\) | −5.23572 | − | 7.20635i | −0.182951 | − | 0.251810i | ||||
\(820\) | 0.255364 | − | 1.03340i | 0.00891771 | − | 0.0360878i | ||||
\(821\) | −24.8081 | + | 8.06063i | −0.865808 | + | 0.281318i | −0.708052 | − | 0.706160i | \(-0.750426\pi\) |
−0.157756 | + | 0.987478i | \(0.550426\pi\) | |||||||
\(822\) | −16.1455 | + | 8.22655i | −0.563140 | + | 0.286934i | ||||
\(823\) | 6.15404 | + | 38.8551i | 0.214516 | + | 1.35440i | 0.826234 | + | 0.563327i | \(0.190479\pi\) |
−0.611718 | + | 0.791076i | \(0.709521\pi\) | |||||||
\(824\) | 10.9402 | 0.381120 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.7900 | −1.10612 | ||||||||
\(827\) | 8.26255 | + | 52.1677i | 0.287317 | + | 1.81405i | 0.534601 | + | 0.845105i | \(0.320462\pi\) |
−0.247284 | + | 0.968943i | \(0.579538\pi\) | |||||||
\(828\) | −8.79409 | + | 4.48081i | −0.305616 | + | 0.155719i | ||||
\(829\) | −7.41797 | + | 2.41024i | −0.257637 | + | 0.0837113i | −0.434988 | − | 0.900436i | \(-0.643247\pi\) |
0.177351 | + | 0.984148i | \(0.443247\pi\) | |||||||
\(830\) | 10.6470 | − | 43.0858i | 0.369563 | − | 1.49553i | ||||
\(831\) | 5.54245 | + | 7.62853i | 0.192265 | + | 0.264631i | ||||
\(832\) | 2.98633 | − | 5.86100i | 0.103532 | − | 0.203194i | ||||
\(833\) | −1.40923 | − | 2.76577i | −0.0488270 | − | 0.0958283i | ||||
\(834\) | −23.7323 | + | 32.6647i | −0.821782 | + | 1.13109i | ||||
\(835\) | −25.2637 | − | 2.15715i | −0.874287 | − | 0.0746513i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.58063 | − | 2.58063i | 0.0891997 | − | 0.0891997i | ||||
\(838\) | −25.1946 | + | 3.99044i | −0.870334 | + | 0.137847i | ||||
\(839\) | −25.2394 | − | 8.20078i | −0.871362 | − | 0.283123i | −0.160996 | − | 0.986955i | \(-0.551471\pi\) |
−0.710366 | + | 0.703833i | \(0.751471\pi\) | |||||||
\(840\) | −13.6790 | − | 58.6910i | −0.471971 | − | 2.02503i | ||||
\(841\) | 16.6546 | − | 12.1002i | 0.574295 | − | 0.417250i | ||||
\(842\) | 9.70408 | + | 1.53697i | 0.334425 | + | 0.0529676i | ||||
\(843\) | 7.28287 | + | 3.71081i | 0.250835 | + | 0.127807i | ||||
\(844\) | 2.96723 | − | 9.13218i | 0.102136 | − | 0.314343i | ||||
\(845\) | −2.00041 | − | 27.7738i | −0.0688161 | − | 0.955448i | ||||
\(846\) | 4.66717i | 0.160461i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.65158 | + | 8.65158i | 0.297096 | + | 0.297096i | ||||
\(849\) | −43.5418 | − | 31.6350i | −1.49435 | − | 1.08571i | ||||
\(850\) | −1.78019 | + | 3.38205i | −0.0610601 | + | 0.116003i | ||||
\(851\) | −4.33109 | − | 13.3297i | −0.148468 | − | 0.456938i | ||||
\(852\) | 0.671137 | − | 4.23739i | 0.0229928 | − | 0.145171i | ||||
\(853\) | −7.94538 | + | 50.1652i | −0.272045 | + | 1.71762i | 0.351801 | + | 0.936075i | \(0.385570\pi\) |
−0.623845 | + | 0.781548i | \(0.714430\pi\) | |||||||
\(854\) | 4.97362 | + | 15.3072i | 0.170194 | + | 0.523803i | ||||
\(855\) | 22.6260 | − | 9.19649i | 0.773793 | − | 0.314513i | ||||
\(856\) | −16.3004 | − | 11.8429i | −0.557136 | − | 0.404783i | ||||
\(857\) | −21.6116 | − | 21.6116i | −0.738238 | − | 0.738238i | 0.233999 | − | 0.972237i | \(-0.424819\pi\) |
−0.972237 | + | 0.233999i | \(0.924819\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 14.1414i | − | 0.482499i | −0.970463 | − | 0.241250i | \(-0.922443\pi\) | ||
0.970463 | − | 0.241250i | \(-0.0775572\pi\) | |||||||
\(860\) | −4.54564 | − | 3.93483i | −0.155005 | − | 0.134177i | ||||
\(861\) | −2.78208 | + | 8.56235i | −0.0948129 | + | 0.291804i | ||||
\(862\) | 32.8935 | + | 16.7601i | 1.12036 | + | 0.570850i | ||||
\(863\) | 39.5385 | + | 6.26228i | 1.34590 | + | 0.213170i | 0.787457 | − | 0.616370i | \(-0.211397\pi\) |
0.558448 | + | 0.829540i | \(0.311397\pi\) | |||||||
\(864\) | 2.51016 | − | 1.82374i | 0.0853975 | − | 0.0620449i | ||||
\(865\) | 10.0038 | − | 2.33156i | 0.340138 | − | 0.0792754i | ||||
\(866\) | −12.1066 | − | 3.93366i | −0.411398 | − | 0.133671i | ||||
\(867\) | 41.7602 | − | 6.61417i | 1.41825 | − | 0.224629i | ||||
\(868\) | 3.47316 | − | 3.47316i | 0.117887 | − | 0.117887i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 13.1674 | + | 15.6259i | 0.446416 | + | 0.529767i | ||||
\(871\) | 5.77541 | − | 7.94917i | 0.195692 | − | 0.269347i | ||||
\(872\) | −10.0062 | − | 19.6383i | −0.338853 | − | 0.665036i | ||||
\(873\) | 22.6246 | − | 44.4032i | 0.765725 | − | 1.50282i | ||||
\(874\) | 13.9465 | + | 19.1957i | 0.471747 | + | 0.649304i | ||||
\(875\) | 14.1225 | + | 36.1128i | 0.477429 | + | 1.22084i | ||||
\(876\) | −0.606949 | + | 0.197210i | −0.0205069 | + | 0.00666310i | ||||
\(877\) | 32.6365 | − | 16.6291i | 1.10206 | − | 0.561525i | 0.194265 | − | 0.980949i | \(-0.437768\pi\) |
0.907790 | + | 0.419424i | \(0.137768\pi\) | |||||||
\(878\) | 5.88843 | + | 37.1781i | 0.198725 | + | 1.25470i | ||||
\(879\) | 72.9982 | 2.46217 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −50.8785 | −1.71414 | −0.857069 | − | 0.515201i | \(-0.827717\pi\) | ||||
−0.857069 | + | 0.515201i | \(0.827717\pi\) | |||||||
\(882\) | 3.38276 | + | 21.3579i | 0.113903 | + | 0.719158i | ||||
\(883\) | 7.21063 | − | 3.67400i | 0.242657 | − | 0.123640i | −0.328433 | − | 0.944527i | \(-0.606521\pi\) |
0.571090 | + | 0.820887i | \(0.306521\pi\) | |||||||
\(884\) | −0.202581 | + | 0.0658225i | −0.00681353 | + | 0.00221385i | ||||
\(885\) | 21.7630 | + | 36.0490i | 0.731554 | + | 1.21177i | ||||
\(886\) | 8.17627 | + | 11.2537i | 0.274687 | + | 0.378074i | ||||
\(887\) | −8.13216 | + | 15.9603i | −0.273051 | + | 0.535893i | −0.986289 | − | 0.165029i | \(-0.947228\pi\) |
0.713237 | + | 0.700923i | \(0.247228\pi\) | |||||||
\(888\) | 8.11678 | + | 15.9301i | 0.272381 | + | 0.534578i | ||||
\(889\) | 26.4710 | − | 36.4342i | 0.887809 | − | 1.22196i | ||||
\(890\) | 3.45896 | − | 40.5100i | 0.115945 | − | 1.35790i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.64351 | + | 2.64351i | −0.0885114 | + | 0.0885114i | ||||
\(893\) | −3.37178 | + | 0.534037i | −0.112832 | + | 0.0178709i | ||||
\(894\) | −57.4641 | − | 18.6712i | −1.92189 | − | 0.624459i | ||||
\(895\) | 3.24860 | − | 5.22308i | 0.108589 | − | 0.174588i | ||||
\(896\) | −16.4209 | + | 11.9305i | −0.548585 | + | 0.398570i | ||||
\(897\) | −11.3213 | − | 1.79312i | −0.378008 | − | 0.0598706i | ||||
\(898\) | 21.5596 | + | 10.9851i | 0.719452 | + | 0.366579i | ||||
\(899\) | −2.72080 | + | 8.37376i | −0.0907437 | + | 0.279280i | ||||
\(900\) | −5.80381 | + | 5.65170i | −0.193460 | + | 0.188390i | ||||
\(901\) | − | 2.65078i | − | 0.0883101i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 35.9553 | + | 35.9553i | 1.19652 | + | 1.19652i | ||||
\(904\) | 10.4359 | + | 7.58210i | 0.347092 | + | 0.252177i | ||||
\(905\) | 6.01856 | + | 14.8074i | 0.200064 | + | 0.492214i | ||||
\(906\) | −18.4220 | − | 56.6971i | −0.612031 | − | 1.88364i | ||||
\(907\) | −8.21958 | + | 51.8964i | −0.272927 | + | 1.72319i | 0.346425 | + | 0.938078i | \(0.387395\pi\) |
−0.619352 | + | 0.785113i | \(0.712605\pi\) | |||||||
\(908\) | 0.226175 | − | 1.42801i | 0.00750587 | − | 0.0473902i | ||||
\(909\) | −8.65592 | − | 26.6402i | −0.287099 | − | 0.883599i | ||||
\(910\) | 2.76158 | − | 6.54382i | 0.0915454 | − | 0.216926i | ||||
\(911\) | 11.4419 | + | 8.31299i | 0.379085 | + | 0.275422i | 0.760968 | − | 0.648789i | \(-0.224724\pi\) |
−0.381883 | + | 0.924211i | \(0.624724\pi\) | |||||||
\(912\) | −16.1219 | − | 16.1219i | −0.533848 | − | 0.533848i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 14.5786i | 0.482218i | ||||||||
\(915\) | 13.9531 | − | 16.1191i | 0.461276 | − | 0.532880i | ||||
\(916\) | −2.12241 | + | 6.53210i | −0.0701263 | + | 0.215827i | ||||
\(917\) | −53.2637 | − | 27.1392i | −1.75892 | − | 0.896215i | ||||
\(918\) | 0.907735 | + | 0.143771i | 0.0299597 | + | 0.00474516i | ||||
\(919\) | 34.4637 | − | 25.0394i | 1.13685 | − | 0.825972i | 0.150176 | − | 0.988659i | \(-0.452016\pi\) |
0.986678 | + | 0.162687i | \(0.0520160\pi\) | |||||||
\(920\) | −35.3296 | − | 21.9740i | −1.16478 | − | 0.724460i | ||||
\(921\) | −45.0751 | − | 14.6458i | −1.48528 | − | 0.482595i | ||||
\(922\) | 32.4886 | − | 5.14569i | 1.06996 | − | 0.169464i | ||||
\(923\) | 1.89019 | − | 1.89019i | 0.0622165 | − | 0.0622165i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.63762 | − | 9.39576i | −0.218244 | − | 0.308931i | ||||
\(926\) | −14.8493 | + | 20.4383i | −0.487979 | + | 0.671645i | ||||
\(927\) | 5.64678 | + | 11.0824i | 0.185465 | + | 0.363995i | ||||
\(928\) | −3.39832 | + | 6.66957i | −0.111555 | + | 0.218939i | ||||
\(929\) | −6.96613 | − | 9.58806i | −0.228551 | − | 0.314574i | 0.679304 | − | 0.733857i | \(-0.262282\pi\) |
−0.907856 | + | 0.419283i | \(0.862282\pi\) | |||||||
\(930\) | 20.7588 | + | 5.12975i | 0.680709 | + | 0.168211i | ||||
\(931\) | −15.0428 | + | 4.88772i | −0.493009 | + | 0.160188i | ||||
\(932\) | −5.79728 | + | 2.95386i | −0.189896 | + | 0.0967570i | ||||
\(933\) | −6.77956 | − | 42.8044i | −0.221953 | − | 1.40135i | ||||
\(934\) | −23.1291 | −0.756807 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 7.84466 | 0.256411 | ||||||||
\(937\) | −2.87257 | − | 18.1367i | −0.0938429 | − | 0.592501i | −0.989134 | − | 0.147019i | \(-0.953032\pi\) |
0.895291 | − | 0.445482i | \(-0.146968\pi\) | |||||||
\(938\) | −50.8383 | + | 25.9034i | −1.65993 | + | 0.845776i | ||||
\(939\) | 38.1780 | − | 12.4048i | 1.24589 | − | 0.404815i | ||||
\(940\) | 0.969363 | − | 0.585210i | 0.0316171 | − | 0.0190874i | ||||
\(941\) | 1.61761 | + | 2.22645i | 0.0527325 | + | 0.0725801i | 0.834569 | − | 0.550904i | \(-0.185717\pi\) |
−0.781836 | + | 0.623484i | \(0.785717\pi\) | |||||||
\(942\) | −17.5661 | + | 34.4753i | −0.572333 | + | 1.12327i | ||||
\(943\) | 2.82181 | + | 5.53812i | 0.0918908 | + | 0.180346i | ||||
\(944\) | 12.3962 | − | 17.0619i | 0.403462 | − | 0.555317i | ||||
\(945\) | 7.13033 | − | 6.00847i | 0.231950 | − | 0.195455i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.3254 | − | 16.3254i | 0.530503 | − | 0.530503i | −0.390219 | − | 0.920722i | \(-0.627601\pi\) |
0.920722 | + | 0.390219i | \(0.127601\pi\) | |||||||
\(948\) | 14.3113 | − | 2.26669i | 0.464810 | − | 0.0736187i | ||||
\(949\) | −0.378177 | − | 0.122877i | −0.0122761 | − | 0.00398876i | ||||
\(950\) | 15.6021 | + | 11.6552i | 0.506198 | + | 0.378144i | ||||
\(951\) | −13.6601 | + | 9.92461i | −0.442958 | + | 0.321828i | ||||
\(952\) | 6.45858 | + | 1.02294i | 0.209324 | + | 0.0331536i | ||||
\(953\) | 43.0888 | + | 21.9548i | 1.39578 | + | 0.711187i | 0.980134 | − | 0.198338i | \(-0.0635543\pi\) |
0.415649 | + | 0.909525i | \(0.363554\pi\) | |||||||
\(954\) | −5.70635 | + | 17.5623i | −0.184750 | + | 0.568602i | ||||
\(955\) | 7.77021 | − | 0.559650i | 0.251438 | − | 0.0181098i | ||||
\(956\) | − | 1.50134i | − | 0.0485570i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.38460 | − | 6.38460i | −0.206277 | − | 0.206277i | ||||
\(959\) | −16.1386 | − | 11.7254i | −0.521143 | − | 0.378632i | ||||
\(960\) | 46.6154 | + | 19.6723i | 1.50451 | + | 0.634921i | ||||
\(961\) | −6.73234 | − | 20.7200i | −0.217172 | − | 0.668387i | ||||
\(962\) | −0.329635 | + | 2.08123i | −0.0106278 | + | 0.0671016i | ||||
\(963\) | 3.58345 | − | 22.6250i | 0.115475 | − | 0.729080i | ||||
\(964\) | 2.17330 | + | 6.68872i | 0.0699972 | + | 0.215429i | ||||
\(965\) | −22.3801 | − | 9.44468i | −0.720440 | − | 0.304035i | ||||
\(966\) | 53.8494 | + | 39.1238i | 1.73257 | + | 1.25879i | ||||
\(967\) | 14.7018 | + | 14.7018i | 0.472778 | + | 0.472778i | 0.902813 | − | 0.430034i | \(-0.141499\pi\) |
−0.430034 | + | 0.902813i | \(0.641499\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.93961i | 0.158683i | ||||||||
\(970\) | 39.6345 | − | 2.85468i | 1.27259 | − | 0.0916581i | ||||
\(971\) | 8.28642 | − | 25.5030i | 0.265924 | − | 0.818430i | −0.725555 | − | 0.688164i | \(-0.758417\pi\) |
0.991479 | − | 0.130266i | \(-0.0415831\pi\) | |||||||
\(972\) | −9.28246 | − | 4.72965i | −0.297735 | − | 0.151704i | ||||
\(973\) | −43.9014 | − | 6.95330i | −1.40741 | − | 0.222912i | ||||
\(974\) | −27.3626 | + | 19.8801i | −0.876753 | + | 0.636999i | ||||
\(975\) | −9.31105 | + | 1.34825i | −0.298192 | + | 0.0431786i | ||||
\(976\) | −10.1549 | − | 3.29953i | −0.325051 | − | 0.105615i | ||||
\(977\) | −44.3808 | + | 7.02923i | −1.41987 | + | 0.224885i | −0.818692 | − | 0.574233i | \(-0.805301\pi\) |
−0.601175 | + | 0.799117i | \(0.705301\pi\) | |||||||
\(978\) | 21.6094 | − | 21.6094i | 0.690992 | − | 0.690992i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.01184 | − | 3.38063i | 0.128153 | − | 0.107990i | ||||
\(981\) | 14.7289 | − | 20.2726i | 0.470257 | − | 0.647253i | ||||
\(982\) | 8.65063 | + | 16.9778i | 0.276053 | + | 0.541784i | ||||
\(983\) | −23.0619 | + | 45.2616i | −0.735562 | + | 1.44362i | 0.154600 | + | 0.987977i | \(0.450591\pi\) |
−0.890162 | + | 0.455644i | \(0.849409\pi\) | |||||||
\(984\) | −4.66038 | − | 6.41447i | −0.148568 | − | 0.204486i | ||||
\(985\) | 30.7886 | − | 18.5873i | 0.981007 | − | 0.592240i | ||||
\(986\) | −2.10872 | + | 0.685164i | −0.0671552 | + | 0.0218201i | ||||
\(987\) | −8.53290 | + | 4.34773i | −0.271605 | + | 0.138390i | ||||
\(988\) | 0.169790 | + | 1.07201i | 0.00540175 | + | 0.0341053i | ||||
\(989\) | 35.1053 | 1.11628 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2536 | −0.421013 | −0.210507 | − | 0.977592i | \(-0.567511\pi\) | ||||
−0.210507 | + | 0.977592i | \(0.567511\pi\) | |||||||
\(992\) | 1.22538 | + | 7.73673i | 0.0389058 | + | 0.245641i | ||||
\(993\) | −27.3775 | + | 13.9496i | −0.868800 | + | 0.442676i | ||||
\(994\) | −14.7630 | + | 4.79677i | −0.468252 | + | 0.152144i | ||||
\(995\) | −60.2344 | − | 14.8846i | −1.90956 | − | 0.471874i | ||||
\(996\) | 11.1830 | + | 15.3921i | 0.354348 | + | 0.487718i | ||||
\(997\) | −8.34296 | + | 16.3740i | −0.264224 | + | 0.518569i | −0.984558 | − | 0.175058i | \(-0.943989\pi\) |
0.720334 | + | 0.693628i | \(0.243989\pi\) | |||||||
\(998\) | −1.28898 | − | 2.52977i | −0.0408021 | − | 0.0800786i | ||||
\(999\) | −1.62598 | + | 2.23797i | −0.0514438 | + | 0.0708063i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))