Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.1 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.1 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41382 | − | 0.0331870i | −0.999725 | − | 0.0234668i | ||||
\(3\) | −0.374386 | + | 1.69110i | −0.216152 | + | 0.976360i | ||||
\(4\) | 1.99780 | + | 0.0938413i | 0.998899 | + | 0.0469206i | ||||
\(5\) | −0.000471804 | 0.00138989i | −0.000210997 | 0.000621577i | −0.947036 | − | 0.321129i | \(-0.895938\pi\) | ||
0.946825 | + | 0.321750i | \(0.104271\pi\) | |||||||
\(6\) | 0.585439 | − | 2.37850i | 0.239005 | − | 0.971018i | ||||
\(7\) | 1.11009 | − | 1.44669i | 0.419574 | − | 0.546799i | −0.534970 | − | 0.844871i | \(-0.679677\pi\) |
0.954543 | + | 0.298072i | \(0.0963436\pi\) | |||||||
\(8\) | −2.82142 | − | 0.198976i | −0.997522 | − | 0.0703487i | ||||
\(9\) | −2.71967 | − | 1.26625i | −0.906557 | − | 0.422084i | ||||
\(10\) | 0.000713174 | − | 0.00194940i | 0.000225525 | − | 0.000616454i | ||||
\(11\) | −0.469317 | − | 0.0307607i | −0.141504 | − | 0.00927469i | −0.00551367 | − | 0.999985i | \(-0.501755\pi\) |
−0.135991 | + | 0.990710i | \(0.543422\pi\) | |||||||
\(12\) | −0.906644 | + | 3.34335i | −0.261725 | + | 0.965142i | ||||
\(13\) | −3.13750 | + | 3.57763i | −0.870185 | + | 0.992256i | 0.129815 | + | 0.991538i | \(0.458562\pi\) |
−1.00000 | 0.000717789i | \(0.999772\pi\) | ||||||||
\(14\) | −1.61748 | + | 2.00853i | −0.432290 | + | 0.536802i | ||||
\(15\) | −0.00217381 | − | 0.00131822i | −0.000561275 | − | 0.000340364i | ||||
\(16\) | 3.98239 | + | 0.374952i | 0.995597 | + | 0.0937379i | ||||
\(17\) | −4.32364 | − | 4.32364i | −1.04864 | − | 1.04864i | −0.998755 | − | 0.0498810i | \(-0.984116\pi\) |
−0.0498810 | − | 0.998755i | \(-0.515884\pi\) | |||||||
\(18\) | 3.80311 | + | 1.88052i | 0.896402 | + | 0.443242i | ||||
\(19\) | −1.25108 | + | 6.28962i | −0.287018 | + | 1.44294i | 0.520888 | + | 0.853625i | \(0.325601\pi\) |
−0.807906 | + | 0.589312i | \(0.799399\pi\) | |||||||
\(20\) | −0.00107300 | + | 0.00273244i | −0.000239929 | + | 0.000610992i | ||||
\(21\) | 2.03091 | + | 2.41890i | 0.443181 | + | 0.527847i | ||||
\(22\) | 0.662511 | + | 0.0590654i | 0.141248 | + | 0.0125928i | ||||
\(23\) | −3.02225 | + | 2.31906i | −0.630183 | + | 0.483557i | −0.873781 | − | 0.486320i | \(-0.838339\pi\) |
0.243598 | + | 0.969876i | \(0.421672\pi\) | |||||||
\(24\) | 1.39279 | − | 4.69682i | 0.284302 | − | 0.958735i | ||||
\(25\) | 3.96676 | + | 3.04381i | 0.793353 | + | 0.608761i | ||||
\(26\) | 4.55460 | − | 4.95402i | 0.893231 | − | 0.971562i | ||||
\(27\) | 3.15957 | − | 4.12518i | 0.608060 | − | 0.793891i | ||||
\(28\) | 2.35349 | − | 2.78603i | 0.444768 | − | 0.526510i | ||||
\(29\) | −3.60750 | + | 7.31528i | −0.669896 | + | 1.35841i | 0.250764 | + | 0.968048i | \(0.419318\pi\) |
−0.920660 | + | 0.390366i | \(0.872349\pi\) | |||||||
\(30\) | 0.00302964 | + | 0.00193588i | 0.000553134 | + | 0.000353442i | ||||
\(31\) | −3.92540 | − | 2.26633i | −0.705022 | − | 0.407045i | 0.104193 | − | 0.994557i | \(-0.466774\pi\) |
−0.809215 | + | 0.587512i | \(0.800107\pi\) | |||||||
\(32\) | −5.61795 | − | 0.662280i | −0.993123 | − | 0.117076i | ||||
\(33\) | 0.227725 | − | 0.782148i | 0.0396419 | − | 0.136154i | ||||
\(34\) | 5.96937 | + | 6.25635i | 1.02374 | + | 1.07296i | ||||
\(35\) | 0.00148700 | + | 0.00222545i | 0.000251349 | + | 0.000376170i | ||||
\(36\) | −5.31452 | − | 2.78493i | −0.885754 | − | 0.464156i | ||||
\(37\) | −0.838744 | − | 4.21665i | −0.137889 | − | 0.693213i | −0.986443 | − | 0.164105i | \(-0.947527\pi\) |
0.848554 | − | 0.529108i | \(-0.177473\pi\) | |||||||
\(38\) | 1.97754 | − | 8.85089i | 0.320800 | − | 1.43580i | ||||
\(39\) | −4.87551 | − | 6.64525i | −0.780707 | − | 1.06409i | ||||
\(40\) | 0.00160771 | − | 0.00382758i | 0.000254201 | − | 0.000605194i | ||||
\(41\) | −5.59749 | + | 4.29510i | −0.874181 | + | 0.670782i | −0.945129 | − | 0.326698i | \(-0.894064\pi\) |
0.0709483 | + | 0.997480i | \(0.477397\pi\) | |||||||
\(42\) | −2.79107 | − | 3.48729i | −0.430672 | − | 0.538101i | ||||
\(43\) | 0.577512 | − | 8.81113i | 0.0880697 | − | 1.34368i | −0.693766 | − | 0.720200i | \(-0.744050\pi\) |
0.781836 | − | 0.623484i | \(-0.214283\pi\) | |||||||
\(44\) | −0.934713 | − | 0.105495i | −0.140913 | − | 0.0159039i | ||||
\(45\) | 0.00304310 | − | 0.00318261i | 0.000453639 | − | 0.000474436i | ||||
\(46\) | 4.34990 | − | 3.17844i | 0.641357 | − | 0.468635i | ||||
\(47\) | 1.77421 | − | 6.62143i | 0.258795 | − | 0.965835i | −0.707145 | − | 0.707068i | \(-0.750017\pi\) |
0.965940 | − | 0.258767i | \(-0.0833161\pi\) | |||||||
\(48\) | −2.12503 | + | 6.59426i | −0.306722 | + | 0.951799i | ||||
\(49\) | 0.951104 | + | 3.54957i | 0.135872 | + | 0.507081i | ||||
\(50\) | −5.50729 | − | 4.43505i | −0.778849 | − | 0.627211i | ||||
\(51\) | 8.93043 | − | 5.69301i | 1.25051 | − | 0.797181i | ||||
\(52\) | −6.60381 | + | 6.85295i | −0.915784 | + | 0.950334i | ||||
\(53\) | −4.66506 | + | 6.98175i | −0.640795 | + | 0.959018i | 0.358876 | + | 0.933385i | \(0.383160\pi\) |
−0.999671 | + | 0.0256324i | \(0.991840\pi\) | |||||||
\(54\) | −4.60398 | + | 5.72742i | −0.626523 | + | 0.779403i | ||||
\(55\) | 0.000264179 | 0 | 0.000637785i | 3.56219e−5 | 0 | 8.59989e-5i | ||||
\(56\) | −3.41988 | + | 3.86085i | −0.457001 | + | 0.515928i | ||||
\(57\) | −10.1680 | − | 4.47046i | −1.34679 | − | 0.592127i | ||||
\(58\) | 5.34314 | − | 10.2228i | 0.701589 | − | 1.34232i | ||||
\(59\) | −2.93032 | + | 8.63245i | −0.381495 | + | 1.12385i | 0.571432 | + | 0.820649i | \(0.306388\pi\) |
−0.952927 | + | 0.303199i | \(0.901945\pi\) | |||||||
\(60\) | −0.00421913 | − | 0.00283754i | −0.000544687 | − | 0.000366325i | ||||
\(61\) | −9.36815 | − | 4.61986i | −1.19947 | − | 0.591513i | −0.270877 | − | 0.962614i | \(-0.587314\pi\) |
−0.928592 | + | 0.371101i | \(0.878980\pi\) | |||||||
\(62\) | 5.47461 | + | 3.33446i | 0.695276 | + | 0.423477i | ||||
\(63\) | −4.85095 | + | 2.52888i | −0.611163 | + | 0.318609i | ||||
\(64\) | 7.92082 | + | 1.12279i | 0.990102 | + | 0.140349i | ||||
\(65\) | −0.00349222 | − | 0.00604871i | −0.000433157 | − | 0.000750250i | ||||
\(66\) | −0.347921 | + | 1.09826i | −0.0428261 | + | 0.135187i | ||||
\(67\) | −0.370639 | − | 5.65486i | −0.0452807 | − | 0.690851i | −0.958805 | − | 0.284066i | \(-0.908317\pi\) |
0.913524 | − | 0.406785i | \(-0.133350\pi\) | |||||||
\(68\) | −8.23202 | − | 9.04349i | −0.998279 | − | 1.09668i | ||||
\(69\) | −2.79028 | − | 5.97917i | −0.335910 | − | 0.719807i | ||||
\(70\) | −0.00202850 | − | 0.00319575i | −0.000242452 | − | 0.000381965i | ||||
\(71\) | −2.87271 | − | 6.93533i | −0.340928 | − | 0.823072i | −0.997622 | − | 0.0689156i | \(-0.978046\pi\) |
0.656695 | − | 0.754156i | \(-0.271954\pi\) | |||||||
\(72\) | 7.42138 | + | 4.11378i | 0.874617 | + | 0.484814i | ||||
\(73\) | −4.91883 | + | 11.8751i | −0.575706 | + | 1.38988i | 0.320928 | + | 0.947104i | \(0.396005\pi\) |
−0.896634 | + | 0.442773i | \(0.853995\pi\) | |||||||
\(74\) | 1.04590 | + | 5.98943i | 0.121583 | + | 0.696258i | ||||
\(75\) | −6.63250 | + | 5.56866i | −0.765855 | + | 0.643013i | ||||
\(76\) | −3.08963 | + | 12.4480i | −0.354405 | + | 1.42788i | ||||
\(77\) | −0.565484 | + | 0.644811i | −0.0644429 | + | 0.0734830i | ||||
\(78\) | 6.67258 | + | 9.55702i | 0.755521 | + | 1.08212i | ||||
\(79\) | 0.469935 | + | 0.125919i | 0.0528718 | + | 0.0141670i | 0.285158 | − | 0.958481i | \(-0.407954\pi\) |
−0.232286 | + | 0.972647i | \(0.574621\pi\) | |||||||
\(80\) | −0.00240005 | + | 0.00535817i | −0.000268333 | + | 0.000599062i | ||||
\(81\) | 5.79321 | + | 6.88758i | 0.643690 | + | 0.765287i | ||||
\(82\) | 8.05640 | − | 5.88676i | 0.889681 | − | 0.650083i | ||||
\(83\) | 12.9173 | − | 4.38484i | 1.41786 | − | 0.481298i | 0.495830 | − | 0.868420i | \(-0.334864\pi\) |
0.922029 | + | 0.387121i | \(0.126531\pi\) | |||||||
\(84\) | 3.83035 | + | 5.02305i | 0.417926 | + | 0.548060i | ||||
\(85\) | 0.00804928 | − | 0.00396947i | 0.000873067 | − | 0.000430549i | ||||
\(86\) | −1.10892 | + | 12.4382i | −0.119577 | + | 1.34125i | ||||
\(87\) | −11.0203 | − | 8.83940i | −1.18150 | − | 0.947683i | ||||
\(88\) | 1.31802 | + | 0.180172i | 0.140501 | + | 0.0192064i | ||||
\(89\) | 3.50955 | − | 1.45370i | 0.372012 | − | 0.154092i | −0.188842 | − | 0.982008i | \(-0.560473\pi\) |
0.560853 | + | 0.827915i | \(0.310473\pi\) | |||||||
\(90\) | −0.00440803 | + | 0.00439867i | −0.000464647 | + | 0.000463660i | ||||
\(91\) | 1.69284 | + | 8.51048i | 0.177458 | + | 0.892141i | ||||
\(92\) | −6.25547 | + | 4.34939i | −0.652178 | + | 0.453455i | ||||
\(93\) | 5.30221 | − | 5.78977i | 0.549814 | − | 0.600371i | ||||
\(94\) | −2.72816 | + | 9.30266i | −0.281389 | + | 0.959496i | ||||
\(95\) | −0.00815160 | − | 0.00470633i | −0.000836337 | − | 0.000482859i | ||||
\(96\) | 3.22327 | − | 9.25260i | 0.328973 | − | 0.944339i | ||||
\(97\) | −1.67479 | + | 0.966939i | −0.170049 | + | 0.0981778i | −0.582609 | − | 0.812753i | \(-0.697968\pi\) |
0.412560 | + | 0.910930i | \(0.364635\pi\) | |||||||
\(98\) | −1.22689 | − | 5.05003i | −0.123935 | − | 0.510130i | ||||
\(99\) | 1.23744 | + | 0.677933i | 0.124367 | + | 0.0681348i | ||||
\(100\) | 7.63916 | + | 6.45315i | 0.763916 | + | 0.645315i | ||||
\(101\) | 10.7981 | − | 9.46964i | 1.07445 | − | 0.942264i | 0.0759515 | − | 0.997112i | \(-0.475801\pi\) |
0.998495 | + | 0.0548475i | \(0.0174673\pi\) | |||||||
\(102\) | −12.8150 | + | 7.75254i | −1.26887 | + | 0.767616i | ||||
\(103\) | 1.21669 | − | 9.24170i | 0.119884 | − | 0.910612i | −0.820773 | − | 0.571254i | \(-0.806457\pi\) |
0.940658 | − | 0.339357i | \(-0.110210\pi\) | |||||||
\(104\) | 9.56406 | − | 9.46971i | 0.937833 | − | 0.928581i | ||||
\(105\) | −0.00432019 | + | 0.00168149i | −0.000421607 | + | 0.000164097i | ||||
\(106\) | 6.82728 | − | 9.71615i | 0.663124 | − | 0.943716i | ||||
\(107\) | 0.960741 | + | 0.641947i | 0.0928783 | + | 0.0620593i | 0.601142 | − | 0.799142i | \(-0.294713\pi\) |
−0.508264 | + | 0.861201i | \(0.669713\pi\) | |||||||
\(108\) | 6.69930 | − | 7.94477i | 0.644640 | − | 0.764486i | ||||
\(109\) | −3.21336 | + | 16.1546i | −0.307784 | + | 1.54733i | 0.448918 | + | 0.893573i | \(0.351809\pi\) |
−0.756702 | + | 0.653760i | \(0.773191\pi\) | |||||||
\(110\) | −0.000394669 | 0 | 0.000892949i | −3.76302e−5 | 0 | 8.51393e-5i | ||||
\(111\) | 7.44481 | + | 0.160253i | 0.706630 | + | 0.0152105i | ||||
\(112\) | 4.96324 | − | 5.34507i | 0.468982 | − | 0.505061i | ||||
\(113\) | −1.17094 | − | 4.37002i | −0.110153 | − | 0.411097i | 0.888726 | − | 0.458440i | \(-0.151591\pi\) |
−0.998879 | + | 0.0473424i | \(0.984925\pi\) | |||||||
\(114\) | 14.2274 | + | 6.65789i | 1.33252 | + | 0.623568i | ||||
\(115\) | −0.00179732 | − | 0.00529473i | −0.000167601 | − | 0.000493736i | ||||
\(116\) | −7.89353 | + | 14.2759i | −0.732895 | + | 1.32549i | ||||
\(117\) | 13.0631 | − | 5.75711i | 1.20769 | − | 0.532245i | ||||
\(118\) | 4.42944 | − | 12.1075i | 0.407763 | − | 1.11459i | ||||
\(119\) | −11.0546 | + | 1.45537i | −1.01337 | + | 0.133413i | ||||
\(120\) | 0.00587094 | + | 0.00415180i | 0.000535941 | + | 0.000379006i | ||||
\(121\) | −10.6866 | − | 1.40692i | −0.971507 | − | 0.127901i | ||||
\(122\) | 13.0916 | + | 6.84257i | 1.18526 | + | 0.619498i | ||||
\(123\) | −5.16785 | − | 11.0740i | −0.465969 | − | 0.998506i | ||||
\(124\) | −7.62947 | − | 4.89603i | −0.685147 | − | 0.439676i | ||||
\(125\) | −0.0122042 | + | 0.00815457i | −0.00109157 | + | 0.000729367i | ||||
\(126\) | 6.94232 | − | 3.41440i | 0.618471 | − | 0.304179i | ||||
\(127\) | 7.38150 | 0.655002 | 0.327501 | − | 0.944851i | \(-0.393793\pi\) | ||||
0.327501 | + | 0.944851i | \(0.393793\pi\) | |||||||
\(128\) | −11.1614 | − | 1.85030i | −0.986536 | − | 0.163545i | ||||
\(129\) | 14.6843 | + | 4.27540i | 1.29288 | + | 0.376428i | ||||
\(130\) | 0.00473665 | + | 0.00866771i | 0.000415432 | + | 0.000760208i | ||||
\(131\) | 0.915414 | + | 13.9665i | 0.0799801 | + | 1.22026i | 0.829587 | + | 0.558377i | \(0.188576\pi\) |
−0.749607 | + | 0.661883i | \(0.769758\pi\) | |||||||
\(132\) | 0.528347 | − | 1.54120i | 0.0459867 | − | 0.134144i | ||||
\(133\) | 7.71034 | + | 8.79196i | 0.668571 | + | 0.762359i | ||||
\(134\) | 0.336350 | + | 8.00727i | 0.0290562 | + | 0.691723i | ||||
\(135\) | 0.00424284 | + | 0.00633773i | 0.000365165 | + | 0.000545465i | ||||
\(136\) | 11.3385 | + | 13.0591i | 0.972268 | + | 1.11981i | ||||
\(137\) | 13.2024 | − | 1.73813i | 1.12796 | − | 0.148499i | 0.456630 | − | 0.889657i | \(-0.349056\pi\) |
0.671331 | + | 0.741158i | \(0.265723\pi\) | |||||||
\(138\) | 3.74653 | + | 8.54609i | 0.318926 | + | 0.727492i | ||||
\(139\) | 4.48383 | + | 9.09231i | 0.380314 | + | 0.771200i | 0.999906 | − | 0.0137243i | \(-0.00436870\pi\) |
−0.619592 | + | 0.784924i | \(0.712702\pi\) | |||||||
\(140\) | 0.00276189 | + | 0.00458555i | 0.000233422 | + | 0.000387549i | ||||
\(141\) | 10.5333 | + | 5.47934i | 0.887064 | + | 0.461444i | ||||
\(142\) | 3.83134 | + | 9.90067i | 0.321519 | + | 0.830846i | ||||
\(143\) | 1.58253 | − | 1.58253i | 0.132338 | − | 0.132338i | ||||
\(144\) | −10.3560 | − | 6.06246i | −0.863000 | − | 0.505205i | ||||
\(145\) | −0.00846540 | − | 0.00846540i | −0.000703013 | − | 0.000703013i | ||||
\(146\) | 7.34846 | − | 16.6261i | 0.608163 | − | 1.37598i | ||||
\(147\) | −6.35877 | + | 0.279506i | −0.524462 | + | 0.0230533i | ||||
\(148\) | −1.27994 | − | 8.50272i | −0.105211 | − | 0.698919i | ||||
\(149\) | 2.53602 | − | 1.25063i | 0.207759 | − | 0.102455i | −0.335432 | − | 0.942064i | \(-0.608882\pi\) |
0.543191 | + | 0.839609i | \(0.317216\pi\) | |||||||
\(150\) | 9.56199 | − | 7.65299i | 0.780733 | − | 0.624864i | ||||
\(151\) | −1.03344 | − | 7.84976i | −0.0841002 | − | 0.638805i | −0.980637 | − | 0.195835i | \(-0.937258\pi\) |
0.896537 | − | 0.442970i | \(-0.146075\pi\) | |||||||
\(152\) | 4.78131 | − | 17.4967i | 0.387816 | − | 1.41917i | ||||
\(153\) | 6.28405 | + | 17.2337i | 0.508035 | + | 1.39326i | ||||
\(154\) | 0.820894 | − | 0.892883i | 0.0661496 | − | 0.0719505i | ||||
\(155\) | 0.00500196 | − | 0.00438660i | 0.000401767 | − | 0.000352340i | ||||
\(156\) | −9.11668 | − | 13.7334i | −0.729919 | − | 1.09955i | ||||
\(157\) | 4.92685 | − | 0.322923i | 0.393205 | − | 0.0257720i | 0.132481 | − | 0.991185i | \(-0.457706\pi\) |
0.260724 | + | 0.965413i | \(0.416039\pi\) | |||||||
\(158\) | −0.660226 | − | 0.193623i | −0.0525248 | − | 0.0154038i | ||||
\(159\) | −10.0603 | − | 10.5030i | −0.797837 | − | 0.832940i | ||||
\(160\) | 0.00357106 | − | 0.00749586i | 0.000282317 | − | 0.000592600i | ||||
\(161\) | 6.94663i | 0.547471i | ||||||||
\(162\) | −7.96200 | − | 9.93009i | −0.625553 | − | 0.780181i | ||||
\(163\) | −0.424608 | − | 0.635471i | −0.0332579 | − | 0.0497739i | 0.814468 | − | 0.580208i | \(-0.197029\pi\) |
−0.847726 | + | 0.530434i | \(0.822029\pi\) | |||||||
\(164\) | −11.5857 | + | 8.05547i | −0.904691 | + | 0.629026i | ||||
\(165\) | 0.000979656 | 0 | 0.000685533i | 7.62661e−5 | 0 | 5.33687e-5i | ||||
\(166\) | −18.4083 | + | 5.77070i | −1.42876 | + | 0.447893i | ||||
\(167\) | −1.68914 | + | 12.8303i | −0.130710 | + | 0.992838i | 0.792859 | + | 0.609405i | \(0.208592\pi\) |
−0.923569 | + | 0.383433i | \(0.874742\pi\) | |||||||
\(168\) | −5.24875 | − | 7.22882i | −0.404950 | − | 0.557716i | ||||
\(169\) | −1.25871 | − | 9.56083i | −0.0968236 | − | 0.735448i | ||||
\(170\) | −0.0115120 | + | 0.00534500i | −0.000882930 | + | 0.000409942i | ||||
\(171\) | 11.3668 | − | 15.5215i | 0.869239 | − | 1.18696i | ||||
\(172\) | 1.98060 | − | 17.5487i | 0.151019 | − | 1.33807i | ||||
\(173\) | −12.7753 | + | 4.33664i | −0.971290 | + | 0.329709i | −0.761591 | − | 0.648058i | \(-0.775582\pi\) |
−0.209699 | + | 0.977766i | \(0.567248\pi\) | |||||||
\(174\) | 15.2874 | + | 12.8631i | 1.15894 | + | 0.975148i | ||||
\(175\) | 8.80691 | − | 2.35981i | 0.665740 | − | 0.178384i | ||||
\(176\) | −1.85747 | − | 0.298472i | −0.140012 | − | 0.0224982i | ||||
\(177\) | −13.5013 | − | 8.18735i | −1.01482 | − | 0.615399i | ||||
\(178\) | −5.01013 | + | 1.93881i | −0.375525 | + | 0.145320i | ||||
\(179\) | 22.3022 | + | 4.43619i | 1.66695 | + | 0.331577i | 0.936306 | − | 0.351185i | \(-0.114221\pi\) |
0.730642 | + | 0.682761i | \(0.239221\pi\) | |||||||
\(180\) | 0.00637816 | − | 0.00607265i | 0.000475400 | − | 0.000452629i | ||||
\(181\) | 3.25196 | − | 4.86690i | 0.241716 | − | 0.361753i | −0.690699 | − | 0.723142i | \(-0.742697\pi\) |
0.932415 | + | 0.361389i | \(0.117697\pi\) | |||||||
\(182\) | −2.11094 | − | 12.0885i | −0.156473 | − | 0.896060i | ||||
\(183\) | 11.3200 | − | 14.1129i | 0.836797 | − | 1.04326i | ||||
\(184\) | 8.98848 | − | 5.94167i | 0.662640 | − | 0.438026i | ||||
\(185\) | 0.00625639 | 0.000823670i | 0.000459979 | 6.05574e-5i | ||||||
\(186\) | −7.68854 | + | 8.00976i | −0.563751 | + | 0.587304i | ||||
\(187\) | 1.89616 | + | 2.16215i | 0.138661 | + | 0.158112i | ||||
\(188\) | 4.16587 | − | 13.0618i | 0.303827 | − | 0.952629i | ||||
\(189\) | −2.46047 | − | 9.15025i | −0.178973 | − | 0.665582i | ||||
\(190\) | 0.0113687 | + | 0.00692445i | 0.000824775 | + | 0.000502352i | ||||
\(191\) | 7.39107 | + | 12.8017i | 0.534799 | + | 0.926299i | 0.999173 | + | 0.0406601i | \(0.0129461\pi\) |
−0.464374 | + | 0.885639i | \(0.653721\pi\) | |||||||
\(192\) | −4.86420 | + | 12.9746i | −0.351044 | + | 0.936359i | ||||
\(193\) | −11.7019 | + | 20.2682i | −0.842319 | + | 1.45894i | 0.0456095 | + | 0.998959i | \(0.485477\pi\) |
−0.887929 | + | 0.459981i | \(0.847856\pi\) | |||||||
\(194\) | 2.39994 | − | 1.31150i | 0.172306 | − | 0.0941602i | ||||
\(195\) | 0.0115364 | − | 0.00364116i | 0.000826142 | − | 0.000260749i | ||||
\(196\) | 1.56702 | + | 7.18057i | 0.111930 | + | 0.512898i | ||||
\(197\) | 16.9466 | − | 3.37088i | 1.20739 | − | 0.240165i | 0.449942 | − | 0.893058i | \(-0.351445\pi\) |
0.757451 | + | 0.652892i | \(0.226445\pi\) | |||||||
\(198\) | −1.72702 | − | 0.999545i | −0.122734 | − | 0.0710345i | ||||
\(199\) | −1.16343 | − | 2.80878i | −0.0824736 | − | 0.199109i | 0.877263 | − | 0.480010i | \(-0.159367\pi\) |
−0.959737 | + | 0.280901i | \(0.909367\pi\) | |||||||
\(200\) | −10.5863 | − | 9.37714i | −0.748562 | − | 0.663064i | ||||
\(201\) | 9.70172 | + | 1.49031i | 0.684306 | + | 0.105119i | ||||
\(202\) | −15.5808 | + | 13.0300i | −1.09626 | + | 0.916791i | ||||
\(203\) | 6.57834 | + | 13.3396i | 0.461709 | + | 0.936253i | ||||
\(204\) | 18.3754 | − | 10.5354i | 1.28654 | − | 0.737628i | ||||
\(205\) | −0.00332880 | − | 0.00980633i | −0.000232493 | − | 0.000684904i | ||||
\(206\) | −2.02689 | + | 13.0258i | −0.141220 | + | 0.907547i | ||||
\(207\) | 11.1560 | − | 2.48013i | 0.775399 | − | 0.172381i | ||||
\(208\) | −13.8362 | + | 13.0711i | −0.959366 | + | 0.906318i | ||||
\(209\) | 0.780627 | − | 2.91334i | 0.0539971 | − | 0.201520i | ||||
\(210\) | 0.00616379 | − | 0.00223396i | 0.000425342 | − | 0.000154158i | ||||
\(211\) | 2.85032 | + | 2.49966i | 0.196224 | + | 0.172084i | 0.751820 | − | 0.659369i | \(-0.229176\pi\) |
−0.555596 | + | 0.831453i | \(0.687510\pi\) | |||||||
\(212\) | −9.97502 | + | 13.5104i | −0.685087 | + | 0.927895i | ||||
\(213\) | 12.8039 | − | 2.26156i | 0.877306 | − | 0.154959i | ||||
\(214\) | −1.33701 | − | 0.939484i | −0.0913964 | − | 0.0642218i | ||||
\(215\) | 0.0119740 | + | 0.00495980i | 0.000816621 | + | 0.000338255i | ||||
\(216\) | −9.73530 | + | 11.0102i | −0.662403 | + | 0.749148i | ||||
\(217\) | −7.63622 | + | 3.16302i | −0.518380 | + | 0.214720i | ||||
\(218\) | 5.07924 | − | 22.7332i | 0.344010 | − | 1.53968i | ||||
\(219\) | −18.2405 | − | 12.7641i | −1.23258 | − | 0.862520i | ||||
\(220\) | 0.000587627 | − | 0.00124937i | 3.96178e−5 | − | 8.42328e-5i | ||||
\(221\) | 29.0338 | − | 1.90297i | 1.95302 | − | 0.128008i | ||||
\(222\) | −10.5203 | − | 0.473640i | −0.706078 | − | 0.0317887i | ||||
\(223\) | −22.8371 | + | 13.1850i | −1.52928 | + | 0.882932i | −0.529890 | + | 0.848066i | \(0.677767\pi\) |
−0.999392 | + | 0.0348656i | \(0.988900\pi\) | |||||||
\(224\) | −7.19453 | + | 7.39227i | −0.480705 | + | 0.493917i | ||||
\(225\) | −6.93406 | − | 13.3011i | −0.462271 | − | 0.886738i | ||||
\(226\) | 1.51048 | + | 6.21731i | 0.100476 | + | 0.413569i | ||||
\(227\) | −8.65364 | + | 17.5479i | −0.574363 | + | 1.16469i | 0.394914 | + | 0.918718i | \(0.370774\pi\) |
−0.969276 | + | 0.245974i | \(0.920892\pi\) | |||||||
\(228\) | −19.8941 | − | 9.88525i | −1.31752 | − | 0.654667i | ||||
\(229\) | −17.4458 | − | 5.92205i | −1.15285 | − | 0.391340i | −0.321403 | − | 0.946942i | \(-0.604154\pi\) |
−0.831448 | + | 0.555602i | \(0.812488\pi\) | |||||||
\(230\) | 0.00236538 | + | 0.00754547i | 0.000155968 | + | 0.000497534i | ||||
\(231\) | −0.878733 | − | 1.19770i | −0.0578164 | − | 0.0788030i | ||||
\(232\) | 11.6338 | − | 19.9217i | 0.763799 | − | 1.30792i | ||||
\(233\) | −2.62420 | − | 1.08698i | −0.171917 | − | 0.0712104i | 0.295065 | − | 0.955477i | \(-0.404659\pi\) |
−0.466982 | + | 0.884267i | \(0.654659\pi\) | |||||||
\(234\) | −18.6600 | + | 7.70601i | −1.21985 | + | 0.503758i | ||||
\(235\) | 0.00836598 | + | 0.00558997i | 0.000545736 | + | 0.000364649i | ||||
\(236\) | −6.66427 | + | 16.9709i | −0.433807 | + | 1.10471i | ||||
\(237\) | −0.388879 | + | 0.747567i | −0.0252604 | + | 0.0485597i | ||||
\(238\) | 15.6776 | − | 1.69076i | 1.01622 | − | 0.109596i | ||||
\(239\) | −5.50798 | + | 1.47586i | −0.356282 | + | 0.0954655i | −0.432520 | − | 0.901624i | \(-0.642376\pi\) |
0.0762384 | + | 0.997090i | \(0.475709\pi\) | |||||||
\(240\) | −0.00816268 | − | 0.00606476i | −0.000526899 | − | 0.000391478i | ||||
\(241\) | 6.22925 | + | 1.66912i | 0.401261 | + | 0.107518i | 0.453805 | − | 0.891101i | \(-0.350066\pi\) |
−0.0525437 | + | 0.998619i | \(0.516733\pi\) | |||||||
\(242\) | 15.0623 | + | 2.34379i | 0.968238 | + | 0.150664i | ||||
\(243\) | −13.8165 | + | 7.21830i | −0.886330 | + | 0.463054i | ||||
\(244\) | −18.2821 | − | 10.1087i | −1.17039 | − | 0.647141i | ||||
\(245\) | −0.00538224 | 0.000352770i | −0.000343858 | 2.25377e-5i | ||||||
\(246\) | 6.93891 | + | 15.8281i | 0.442409 | + | 1.00917i | ||||
\(247\) | −18.5767 | − | 24.2096i | −1.18200 | − | 1.54042i | ||||
\(248\) | 10.6242 | + | 7.17532i | 0.674640 | + | 0.455633i | ||||
\(249\) | 2.57915 | + | 23.4861i | 0.163447 | + | 1.48837i | ||||
\(250\) | 0.0175252 | − | 0.0111241i | 0.00110839 | − | 0.000703550i | ||||
\(251\) | −10.0954 | + | 2.00810i | −0.637217 | + | 0.126750i | −0.503118 | − | 0.864218i | \(-0.667814\pi\) |
−0.134099 | + | 0.990968i | \(0.542814\pi\) | |||||||
\(252\) | −9.92853 | + | 4.59697i | −0.625439 | + | 0.289582i | ||||
\(253\) | 1.48973 | − | 0.995406i | 0.0936585 | − | 0.0625806i | ||||
\(254\) | −10.4361 | − | 0.244970i | −0.654822 | − | 0.0153708i | ||||
\(255\) | 0.00369924 | + | 0.0150983i | 0.000231656 | + | 0.000945492i | ||||
\(256\) | 15.7188 | + | 2.98641i | 0.982426 | + | 0.186650i | ||||
\(257\) | −7.41081 | + | 12.8359i | −0.462274 | + | 0.800682i | −0.999074 | − | 0.0430278i | \(-0.986300\pi\) |
0.536800 | + | 0.843709i | \(0.319633\pi\) | |||||||
\(258\) | −20.6192 | − | 6.53199i | −1.28369 | − | 0.406664i | ||||
\(259\) | −7.03128 | − | 3.46744i | −0.436902 | − | 0.215456i | ||||
\(260\) | −0.00640914 | − | 0.0124118i | −0.000397478 | − | 0.000769748i | ||||
\(261\) | 19.0742 | − | 15.3271i | 1.18066 | − | 0.948727i | ||||
\(262\) | −0.830726 | − | 19.7766i | −0.0513225 | − | 1.22180i | ||||
\(263\) | 2.78282 | − | 3.62664i | 0.171596 | − | 0.223628i | −0.699636 | − | 0.714499i | \(-0.746655\pi\) |
0.871232 | + | 0.490871i | \(0.163321\pi\) | |||||||
\(264\) | −0.798137 | + | 2.16145i | −0.0491220 | + | 0.133028i | ||||
\(265\) | −0.00750287 | − | 0.00977793i | −0.000460897 | − | 0.000600653i | ||||
\(266\) | −10.6093 | − | 12.6862i | −0.650497 | − | 0.777839i | ||||
\(267\) | 1.14444 | + | 6.47926i | 0.0700384 | + | 0.396525i | ||||
\(268\) | −0.209802 | − | 11.3320i | −0.0128157 | − | 0.692214i | ||||
\(269\) | 7.39052 | + | 1.47007i | 0.450608 | + | 0.0896315i | 0.415177 | − | 0.909741i | \(-0.363720\pi\) |
0.0354309 | + | 0.999372i | \(0.488720\pi\) | |||||||
\(270\) | −0.00578830 | − | 0.00910124i | −0.000352265 | − | 0.000553884i | ||||
\(271\) | 5.32134 | − | 5.32134i | 0.323248 | − | 0.323248i | −0.526764 | − | 0.850012i | \(-0.676595\pi\) |
0.850012 | + | 0.526764i | \(0.176595\pi\) | |||||||
\(272\) | −15.5972 | − | 18.8396i | −0.945722 | − | 1.14232i | ||||
\(273\) | −15.0259 | − | 0.323439i | −0.909408 | − | 0.0195754i | ||||
\(274\) | −18.7236 | + | 2.01927i | −1.13114 | + | 0.121988i | ||||
\(275\) | −1.76804 | − | 1.55053i | −0.106617 | − | 0.0935005i | ||||
\(276\) | −5.01331 | − | 12.2070i | −0.301766 | − | 0.734776i | ||||
\(277\) | −0.370662 | + | 5.65520i | −0.0222709 | + | 0.339788i | 0.972154 | + | 0.234342i | \(0.0752937\pi\) |
−0.994425 | + | 0.105446i | \(0.966373\pi\) | |||||||
\(278\) | −6.03760 | − | 13.0037i | −0.362111 | − | 0.779912i | ||||
\(279\) | 7.80603 | + | 11.1342i | 0.467335 | + | 0.666588i | ||||
\(280\) | −0.00375264 | − | 0.00657482i | −0.000224263 | − | 0.000392920i | ||||
\(281\) | −4.33250 | − | 3.32445i | −0.258456 | − | 0.198320i | 0.471403 | − | 0.881918i | \(-0.343748\pi\) |
−0.729859 | + | 0.683598i | \(0.760414\pi\) | |||||||
\(282\) | −14.7104 | − | 8.09640i | −0.875991 | − | 0.482134i | ||||
\(283\) | −2.30422 | − | 0.782177i | −0.136972 | − | 0.0464956i | 0.252112 | − | 0.967698i | \(-0.418875\pi\) |
−0.389083 | + | 0.921203i | \(0.627208\pi\) | |||||||
\(284\) | −5.08827 | − | 14.1250i | −0.301933 | − | 0.838162i | ||||
\(285\) | 0.0110107 | − | 0.0120232i | 0.000652220 | − | 0.000712194i | ||||
\(286\) | −2.28994 | + | 2.18490i | −0.135407 | + | 0.129196i | ||||
\(287\) | 12.8658i | 0.759444i | ||||||||
\(288\) | 14.4404 | + | 8.91493i | 0.850906 | + | 0.525317i | ||||
\(289\) | 20.3877i | 1.19928i | ||||||||
\(290\) | 0.0116876 | + | 0.0122495i | 0.000686322 | + | 0.000719317i | ||||
\(291\) | −1.00818 | − | 3.19425i | −0.0591004 | − | 0.187250i | ||||
\(292\) | −10.9412 | + | 23.2625i | −0.640286 | + | 1.36133i | ||||
\(293\) | −8.63106 | − | 2.92985i | −0.504232 | − | 0.171164i | 0.0577214 | − | 0.998333i | \(-0.481616\pi\) |
−0.561953 | + | 0.827169i | \(0.689950\pi\) | |||||||
\(294\) | 8.99946 | − | 0.184144i | 0.524859 | − | 0.0107395i | ||||
\(295\) | −0.0106156 | − | 0.00814564i | −0.000618064 | − | 0.000474257i | ||||
\(296\) | 1.52744 | + | 12.0638i | 0.0887804 | + | 0.701196i | ||||
\(297\) | −1.60973 | + | 1.83883i | −0.0934063 | + | 0.106699i | ||||
\(298\) | −3.62699 | + | 1.68400i | −0.210106 | + | 0.0975518i | ||||
\(299\) | 1.18559 | − | 18.0885i | 0.0685642 | − | 1.04609i | ||||
\(300\) | −13.7730 | + | 10.5026i | −0.795182 | + | 0.606370i | ||||
\(301\) | −12.1059 | − | 10.6166i | −0.697774 | − | 0.611931i | ||||
\(302\) | 1.20059 | + | 11.1325i | 0.0690864 | + | 0.640602i | ||||
\(303\) | 11.9715 | + | 21.8059i | 0.687745 | + | 1.25272i | ||||
\(304\) | −7.34060 | + | 24.5786i | −0.421012 | + | 1.40968i | ||||
\(305\) | 0.0108410 | − | 0.0108410i | 0.000620755 | − | 0.000620755i | ||||
\(306\) | −8.31260 | − | 24.5739i | −0.475200 | − | 1.40480i | ||||
\(307\) | −1.95167 | − | 0.388211i | −0.111388 | − | 0.0221564i | 0.139082 | − | 0.990281i | \(-0.455585\pi\) |
−0.250469 | + | 0.968125i | \(0.580585\pi\) | |||||||
\(308\) | −1.19023 | + | 1.23514i | −0.0678198 | + | 0.0703784i | ||||
\(309\) | 15.1732 | + | 5.51752i | 0.863171 | + | 0.313881i | ||||
\(310\) | −0.00721747 | + | 0.00603588i | −0.000409925 | + | 0.000342815i | ||||
\(311\) | 0.312655 | + | 0.407460i | 0.0177291 | + | 0.0231050i | 0.802134 | − | 0.597144i | \(-0.203698\pi\) |
−0.784405 | + | 0.620249i | \(0.787031\pi\) | |||||||
\(312\) | 12.4336 | + | 19.7192i | 0.703915 | + | 1.11638i | ||||
\(313\) | 4.84984 | − | 6.32043i | 0.274129 | − | 0.357252i | −0.635918 | − | 0.771756i | \(-0.719378\pi\) |
0.910047 | + | 0.414505i | \(0.136045\pi\) | |||||||
\(314\) | −6.97641 | + | 0.293048i | −0.393702 | + | 0.0165377i | ||||
\(315\) | −0.00122616 | − | 0.00793542i | −6.90864e−5 | − | 0.000447110i | ||||
\(316\) | 0.927018 | + | 0.295659i | 0.0521488 | + | 0.0166321i | ||||
\(317\) | −18.0157 | − | 8.88434i | −1.01186 | − | 0.498994i | −0.140731 | − | 0.990048i | \(-0.544945\pi\) |
−0.871129 | + | 0.491054i | \(0.836612\pi\) | |||||||
\(318\) | 13.8750 | + | 15.1832i | 0.778071 | + | 0.851433i | ||||
\(319\) | 1.91808 | − | 3.32222i | 0.107392 | − | 0.186008i | ||||
\(320\) | −0.00529762 | + | 0.0104793i | −0.000296146 | + | 0.000585812i | ||||
\(321\) | −1.44529 | + | 1.38438i | −0.0806681 | + | 0.0772684i | ||||
\(322\) | 0.230538 | − | 9.82131i | 0.0128474 | − | 0.547320i | ||||
\(323\) | 32.6032 | − | 21.7848i | 1.81409 | − | 1.21214i | ||||
\(324\) | 10.9273 | + | 14.3036i | 0.607073 | + | 0.794646i | ||||
\(325\) | −23.3353 | + | 4.64169i | −1.29441 | + | 0.257474i | ||||
\(326\) | 0.579232 | + | 0.912536i | 0.0320807 | + | 0.0505407i | ||||
\(327\) | −26.1161 | − | 11.4822i | −1.44423 | − | 0.634967i | ||||
\(328\) | 16.6475 | − | 11.0045i | 0.919203 | − | 0.607623i | ||||
\(329\) | −7.60966 | − | 9.91710i | −0.419534 | − | 0.546748i | ||||
\(330\) | −0.00136231 | − | 0.00100173i | −7.49928e−5 | − | 5.51437e-5i | ||||
\(331\) | 23.4045 | + | 1.53401i | 1.28643 | + | 0.0843168i | 0.693215 | − | 0.720731i | \(-0.256194\pi\) |
0.593210 | + | 0.805048i | \(0.297860\pi\) | |||||||
\(332\) | 26.2176 | − | 7.54783i | 1.43888 | − | 0.414241i | ||||
\(333\) | −3.05824 | + | 12.5300i | −0.167590 | + | 0.686637i | ||||
\(334\) | 2.81395 | − | 18.0837i | 0.153972 | − | 0.989497i | ||||
\(335\) | 0.00803449 | + | 0.00215283i | 0.000438971 | + | 0.000117622i | ||||
\(336\) | 7.18090 | + | 10.3945i | 0.391750 | + | 0.567065i | ||||
\(337\) | 27.0453 | − | 7.24677i | 1.47325 | − | 0.394757i | 0.569207 | − | 0.822194i | \(-0.307250\pi\) |
0.904045 | + | 0.427437i | \(0.140584\pi\) | |||||||
\(338\) | 1.46229 | + | 13.5591i | 0.0795383 | + | 0.737518i | ||||
\(339\) | 7.82855 | − | 0.344112i | 0.425189 | − | 0.0186896i | ||||
\(340\) | 0.0164533 | − | 0.00717483i | 0.000892307 | − | 0.000389110i | ||||
\(341\) | 1.77254 | + | 1.18437i | 0.0959885 | + | 0.0641374i | ||||
\(342\) | −16.5857 | + | 21.5674i | −0.896854 | + | 1.16623i | ||||
\(343\) | 17.9839 | + | 7.44918i | 0.971041 | + | 0.402218i | ||||
\(344\) | −3.38261 | + | 24.7450i | −0.182378 | + | 1.33416i | ||||
\(345\) | 0.00962684 | − | 0.00105718i | 0.000518292 | − | 5.69166e-5i | ||||
\(346\) | 18.2060 | − | 5.70727i | 0.978760 | − | 0.306825i | ||||
\(347\) | 5.81674 | + | 1.97452i | 0.312259 | + | 0.105998i | 0.473170 | − | 0.880971i | \(-0.343110\pi\) |
−0.160911 | + | 0.986969i | \(0.551443\pi\) | |||||||
\(348\) | −21.1868 | − | 18.6935i | −1.13573 | − | 1.00208i | ||||
\(349\) | −1.64640 | + | 3.33857i | −0.0881298 | + | 0.178710i | −0.936475 | − | 0.350733i | \(-0.885932\pi\) |
0.848346 | + | 0.529443i | \(0.177599\pi\) | |||||||
\(350\) | −12.5297 | + | 3.04407i | −0.669743 | + | 0.162713i | ||||
\(351\) | 4.84521 | + | 24.2465i | 0.258618 | + | 1.29418i | ||||
\(352\) | 2.61623 | + | 0.483631i | 0.139445 | + | 0.0257776i | ||||
\(353\) | −1.41149 | + | 0.814926i | −0.0751262 | + | 0.0433741i | −0.537093 | − | 0.843523i | \(-0.680477\pi\) |
0.461966 | + | 0.886897i | \(0.347144\pi\) | |||||||
\(354\) | 18.8167 | + | 12.0235i | 1.00010 | + | 0.639044i | ||||
\(355\) | 0.0109947 | 0.000720630i | 0.000583537 | 3.82471e-5i | ||||||
\(356\) | 7.14779 | − | 2.57486i | 0.378832 | − | 0.136468i | ||||
\(357\) | 1.67752 | − | 19.2393i | 0.0887835 | − | 1.01825i | ||||
\(358\) | −31.3842 | − | 7.01214i | −1.65871 | − | 0.370603i | ||||
\(359\) | 9.93881 | − | 4.11679i | 0.524550 | − | 0.217276i | −0.104664 | − | 0.994508i | \(-0.533377\pi\) |
0.629214 | + | 0.777232i | \(0.283377\pi\) | |||||||
\(360\) | −0.00921913 | + | 0.00837399i | −0.000485891 | + | 0.000441348i | ||||
\(361\) | −20.4404 | − | 8.46667i | −1.07581 | − | 0.445614i | ||||
\(362\) | −4.75921 | + | 6.77301i | −0.250139 | + | 0.355982i | ||||
\(363\) | 6.38015 | − | 17.5454i | 0.334871 | − | 0.920895i | ||||
\(364\) | 2.58332 | + | 17.1611i | 0.135403 | + | 0.899485i | ||||
\(365\) | −0.0141844 | − | 0.0124393i | −0.000742443 | − | 0.000651105i | ||||
\(366\) | −16.4728 | + | 19.5775i | −0.861049 | + | 1.02333i | ||||
\(367\) | 6.54933 | − | 24.4424i | 0.341872 | − | 1.27589i | −0.554351 | − | 0.832283i | \(-0.687034\pi\) |
0.896224 | − | 0.443603i | \(-0.146300\pi\) | |||||||
\(368\) | −12.9053 | + | 8.10218i | −0.672736 | + | 0.422355i | ||||
\(369\) | 20.6620 | − | 4.59343i | 1.07562 | − | 0.239124i | ||||
\(370\) | −0.00881811 | − | 0.00137216i | −0.000458431 | − | 7.13350e-5i | ||||
\(371\) | 4.92184 | + | 14.4993i | 0.255529 | + | 0.752765i | ||||
\(372\) | 11.1361 | − | 11.0692i | 0.577378 | − | 0.573913i | ||||
\(373\) | −8.53926 | − | 17.3159i | −0.442146 | − | 0.896583i | −0.997871 | − | 0.0652172i | \(-0.979226\pi\) |
0.555725 | − | 0.831366i | \(-0.312441\pi\) | |||||||
\(374\) | −2.60908 | − | 3.11983i | −0.134912 | − | 0.161323i | ||||
\(375\) | −0.00922115 | − | 0.0236915i | −0.000476178 | − | 0.00122342i | ||||
\(376\) | −6.32329 | + | 18.3288i | −0.326099 | + | 0.945236i | ||||
\(377\) | −14.8529 | − | 35.8580i | −0.764961 | − | 1.84678i | ||||
\(378\) | 3.17500 | + | 13.0185i | 0.163304 | + | 0.669599i | ||||
\(379\) | −21.6027 | + | 4.29704i | −1.10966 | + | 0.220724i | −0.715702 | − | 0.698406i | \(-0.753893\pi\) |
−0.393954 | + | 0.919130i | \(0.628893\pi\) | |||||||
\(380\) | −0.0158436 | − | 0.0101672i | −0.000812759 | − | 0.000521569i | ||||
\(381\) | −2.76353 | + | 12.4829i | −0.141580 | + | 0.639518i | ||||
\(382\) | −10.0248 | − | 18.3447i | −0.512915 | − | 0.938594i | ||||
\(383\) | 1.25099 | − | 2.16678i | 0.0639228 | − | 0.110717i | −0.832293 | − | 0.554336i | \(-0.812972\pi\) |
0.896216 | + | 0.443619i | \(0.146306\pi\) | |||||||
\(384\) | 7.30771 | − | 18.1823i | 0.372920 | − | 0.927863i | ||||
\(385\) | −0.000629418 | − | 0.00109018i | −3.20781e−5 | − | 5.55609e-5i | ||||
\(386\) | 17.2170 | − | 28.2674i | 0.876324 | − | 1.43877i | ||||
\(387\) | −12.7278 | + | 23.2321i | −0.646988 | + | 1.18095i | ||||
\(388\) | −3.43662 | + | 1.77458i | −0.174468 | + | 0.0900908i | ||||
\(389\) | −2.23891 | − | 2.55299i | −0.113517 | − | 0.129442i | 0.692290 | − | 0.721619i | \(-0.256602\pi\) |
−0.805808 | + | 0.592177i | \(0.798268\pi\) | |||||||
\(390\) | −0.0164313 | + | 0.00476510i | −0.000832033 | + | 0.000241290i | ||||
\(391\) | 23.0939 | + | 3.04037i | 1.16791 | + | 0.153758i | ||||
\(392\) | −1.97718 | − | 10.2041i | −0.0998628 | − | 0.515383i | ||||
\(393\) | −23.9616 | − | 3.68081i | −1.20870 | − | 0.185672i | ||||
\(394\) | −24.0713 | + | 4.20343i | −1.21270 | + | 0.211766i | ||||
\(395\) | −0.000396730 | 0 | 0.000593748i | −1.99616e−5 | 0 | 2.98747e-5i | ||||
\(396\) | 2.40853 | + | 1.47049i | 0.121033 | + | 0.0738952i | ||||
\(397\) | −28.2664 | − | 5.62253i | −1.41865 | − | 0.282187i | −0.574592 | − | 0.818440i | \(-0.694839\pi\) |
−0.844057 | + | 0.536253i | \(0.819839\pi\) | |||||||
\(398\) | 1.55168 | + | 4.00973i | 0.0777785 | + | 0.200990i | ||||
\(399\) | −17.7548 | + | 9.74740i | −0.888850 | + | 0.487980i | ||||
\(400\) | 14.6559 | + | 13.6090i | 0.732796 | + | 0.680448i | ||||
\(401\) | 28.0510 | − | 7.51625i | 1.40080 | − | 0.375344i | 0.522169 | − | 0.852842i | \(-0.325123\pi\) |
0.878633 | + | 0.477498i | \(0.158456\pi\) | |||||||
\(402\) | −13.6671 | − | 2.42901i | −0.681651 | − | 0.121148i | ||||
\(403\) | 20.4240 | − | 6.93302i | 1.01739 | − | 0.345358i | ||||
\(404\) | 22.4610 | − | 17.9051i | 1.11747 | − | 0.890813i | ||||
\(405\) | −0.0123062 | + | 0.00480233i | −0.000611501 | + | 0.000238629i | ||||
\(406\) | −8.85791 | − | 19.0781i | −0.439611 | − | 0.946830i | ||||
\(407\) | 0.263930 | + | 2.00474i | 0.0130825 | + | 0.0993715i | ||||
\(408\) | −26.3293 | + | 14.2854i | −1.30349 | + | 0.707234i | ||||
\(409\) | −2.64718 | + | 20.1073i | −0.130894 | + | 0.994242i | 0.792360 | + | 0.610053i | \(0.208852\pi\) |
−0.923255 | + | 0.384188i | \(0.874481\pi\) | |||||||
\(410\) | 0.00438089 | + | 0.0139749i | 0.000216357 | + | 0.000690171i | ||||
\(411\) | −2.00345 | + | 22.9774i | −0.0988228 | + | 1.13339i | ||||
\(412\) | 3.29796 | − | 18.3489i | 0.162479 | − | 0.903984i | ||||
\(413\) | 9.23560 | + | 13.8220i | 0.454454 | + | 0.680138i | ||||
\(414\) | −15.8550 | + | 3.13623i | −0.779230 | + | 0.154137i | ||||
\(415\) | 0.0200224i | 0.000982861i | ||||||||
\(416\) | 19.9957 | − | 18.0211i | 0.980370 | − | 0.883555i | ||||
\(417\) | −17.0547 | + | 4.17859i | −0.835174 | + | 0.204626i | ||||
\(418\) | −1.20035 | + | 4.09304i | −0.0587112 | + | 0.200197i | ||||
\(419\) | 3.02102 | − | 0.198008i | 0.147586 | − | 0.00967333i | 0.00856919 | − | 0.999963i | \(-0.497272\pi\) |
0.139017 | + | 0.990290i | \(0.455606\pi\) | |||||||
\(420\) | −0.00878865 | + | 0.00295387i | −0.000428842 | + | 0.000144134i | ||||
\(421\) | 26.0622 | − | 22.8560i | 1.27020 | − | 1.11393i | 0.282216 | − | 0.959351i | \(-0.408930\pi\) |
0.987980 | − | 0.154581i | \(-0.0494029\pi\) | |||||||
\(422\) | −3.94689 | − | 3.62868i | −0.192132 | − | 0.176641i | ||||
\(423\) | −13.2097 | + | 15.7615i | −0.642276 | + | 0.766351i | ||||
\(424\) | 14.5513 | − | 18.7702i | 0.706673 | − | 0.911562i | ||||
\(425\) | −3.99054 | − | 30.3112i | −0.193570 | − | 1.47031i | ||||
\(426\) | −18.1775 | + | 2.77252i | −0.880701 | + | 0.134329i | ||||
\(427\) | −17.0830 | + | 8.42440i | −0.826704 | + | 0.407685i | ||||
\(428\) | 1.85912 | + | 1.37264i | 0.0898642 | + | 0.0663489i | ||||
\(429\) | 2.08375 | + | 3.26870i | 0.100604 | + | 0.157814i | ||||
\(430\) | −0.0167645 | − | 0.00740966i | −0.000808458 | − | 0.000357326i | ||||
\(431\) | −6.22334 | − | 6.22334i | −0.299768 | − | 0.299768i | 0.541155 | − | 0.840923i | \(-0.317987\pi\) |
−0.840923 | + | 0.541155i | \(0.817987\pi\) | |||||||
\(432\) | 14.1294 | − | 15.2434i | 0.679801 | − | 0.733397i | ||||
\(433\) | 6.55162 | − | 6.55162i | 0.314851 | − | 0.314851i | −0.531935 | − | 0.846785i | \(-0.678535\pi\) |
0.846785 | + | 0.531935i | \(0.178535\pi\) | |||||||
\(434\) | 10.9012 | − | 4.21854i | 0.523276 | − | 0.202496i | ||||
\(435\) | 0.0174852 | − | 0.0111465i | 0.000838351 | − | 0.000534436i | ||||
\(436\) | −7.93561 | + | 31.9721i | −0.380047 | + | 1.53119i | ||||
\(437\) | −10.8049 | − | 21.9101i | −0.516868 | − | 1.04810i | ||||
\(438\) | 25.3653 | + | 18.6516i | 1.21200 | + | 0.891208i | ||||
\(439\) | 31.0279 | − | 4.08491i | 1.48088 | − | 0.194962i | 0.653640 | − | 0.756806i | \(-0.273241\pi\) |
0.827243 | + | 0.561844i | \(0.189908\pi\) | |||||||
\(440\) | −0.000872265 | 0.00174689i | −4.15836e−5 | 8.32799e-5i | ||||||
\(441\) | 1.90796 | − | 10.8580i | 0.0908554 | − | 0.517047i | ||||
\(442\) | −41.1118 | + | 1.72693i | −1.95549 | + | 0.0821415i | ||||
\(443\) | 22.7130 | + | 25.8992i | 1.07913 | + | 1.23051i | 0.971681 | + | 0.236296i | \(0.0759334\pi\) |
0.107444 | + | 0.994211i | \(0.465733\pi\) | |||||||
\(444\) | 14.8582 | + | 1.01878i | 0.705138 | + | 0.0483493i | ||||
\(445\) | 0.000364667 | 0.00556375i | 1.72869e−5 | 0.000263747i | ||||||
\(446\) | 32.7252 | − | 17.8834i | 1.54958 | − | 0.846801i | ||||
\(447\) | 1.16549 | + | 4.75690i | 0.0551258 | + | 0.224993i | ||||
\(448\) | 10.4171 | − | 10.2126i | 0.492163 | − | 0.482500i | ||||
\(449\) | −10.2421 | −0.483355 | −0.241677 | − | 0.970357i | \(-0.577698\pi\) | ||||
−0.241677 | + | 0.970357i | \(0.577698\pi\) | |||||||
\(450\) | 9.36212 | + | 19.0355i | 0.441335 | + | 0.897342i | ||||
\(451\) | 2.75912 | − | 1.84358i | 0.129922 | − | 0.0868109i | ||||
\(452\) | −1.92922 | − | 8.84031i | −0.0907429 | − | 0.415813i | ||||
\(453\) | 13.6617 | + | 1.19119i | 0.641882 | + | 0.0559669i | ||||
\(454\) | 12.8171 | − | 24.5224i | 0.601536 | − | 1.15089i | ||||
\(455\) | −0.0126273 | − | 0.00166242i | −0.000591977 | − | 7.79353e-5i | ||||
\(456\) | 27.7987 | + | 14.6362i | 1.30179 | + | 0.685404i | ||||
\(457\) | −32.6118 | + | 4.29342i | −1.52551 | + | 0.200838i | −0.846143 | − | 0.532957i | \(-0.821081\pi\) |
−0.679372 | + | 0.733794i | \(0.737748\pi\) | |||||||
\(458\) | 24.4688 | + | 8.95172i | 1.14335 | + | 0.418286i | ||||
\(459\) | −31.4966 | + | 4.17492i | −1.47014 | + | 0.194869i | ||||
\(460\) | −0.00309382 | − | 0.0107465i | −0.000144250 | − | 0.000501057i | ||||
\(461\) | 9.48916 | + | 27.9542i | 0.441954 | + | 1.30196i | 0.908658 | + | 0.417542i | \(0.137108\pi\) |
−0.466703 | + | 0.884414i | \(0.654558\pi\) | |||||||
\(462\) | 1.20263 | + | 1.72250i | 0.0559512 | + | 0.0801380i | ||||
\(463\) | −9.01532 | − | 33.6456i | −0.418978 | − | 1.56365i | −0.776733 | − | 0.629830i | \(-0.783124\pi\) |
0.357755 | − | 0.933815i | \(-0.383542\pi\) | |||||||
\(464\) | −17.1093 | + | 27.7797i | −0.794281 | + | 1.28964i | ||||
\(465\) | 0.00554554 | + | 0.0101011i | 0.000257168 | + | 0.000468428i | ||||
\(466\) | 3.67408 | + | 1.62389i | 0.170199 | + | 0.0752251i | ||||
\(467\) | 4.23237 | − | 21.2776i | 0.195851 | − | 0.984608i | −0.750353 | − | 0.661037i | \(-0.770117\pi\) |
0.946204 | − | 0.323571i | \(-0.104883\pi\) | |||||||
\(468\) | 26.6378 | − | 10.2757i | 1.23133 | − | 0.474993i | ||||
\(469\) | −8.59229 | − | 5.74118i | −0.396755 | − | 0.265103i | ||||
\(470\) | −0.0116425 | − | 0.00818087i | −0.000537029 | − | 0.000377355i | ||||
\(471\) | −1.29845 | + | 8.45271i | −0.0598293 | + | 0.389480i | ||||
\(472\) | 9.98531 | − | 23.7727i | 0.459611 | − | 1.09423i | ||||
\(473\) | −0.542072 | + | 4.11745i | −0.0249245 | + | 0.189320i | ||||
\(474\) | 0.574616 | − | 1.04402i | 0.0263930 | − | 0.0479535i | ||||
\(475\) | −24.1071 | + | 21.1414i | −1.10611 | + | 0.970033i | ||||
\(476\) | −22.2214 | + | 1.87015i | −1.01852 | + | 0.0857181i | ||||
\(477\) | 21.5281 | − | 13.0809i | 0.985703 | − | 0.598934i | ||||
\(478\) | 7.83630 | − | 1.90381i | 0.358424 | − | 0.0870784i | ||||
\(479\) | −17.3793 | + | 10.0340i | −0.794082 | + | 0.458463i | −0.841398 | − | 0.540417i | \(-0.818267\pi\) |
0.0473156 | + | 0.998880i | \(0.484933\pi\) | |||||||
\(480\) | 0.0113393 | + | 0.00884539i | 0.000517567 | + | 0.000403735i | ||||
\(481\) | 17.7172 | + | 10.2290i | 0.807833 | + | 0.466403i | ||||
\(482\) | −8.75167 | − | 2.56658i | −0.398628 | − | 0.116904i | ||||
\(483\) | −11.7475 | − | 2.60072i | −0.534529 | − | 0.118337i | ||||
\(484\) | −21.2176 | − | 3.81357i | −0.964436 | − | 0.173344i | ||||
\(485\) | −0.000553767 | − | 0.00278397i | −2.51453e−5 | − | 0.000126414i | ||||
\(486\) | 19.7737 | − | 9.74688i | 0.896952 | − | 0.442127i | ||||
\(487\) | −7.89910 | + | 3.27191i | −0.357942 | + | 0.148265i | −0.554406 | − | 0.832247i | \(-0.687054\pi\) |
0.196463 | + | 0.980511i | \(0.437054\pi\) | |||||||
\(488\) | 25.5123 | + | 14.8986i | 1.15489 | + | 0.674428i | ||||
\(489\) | 1.23362 | − | 0.480145i | 0.0557860 | − | 0.0217129i | ||||
\(490\) | 0.00759783 | 0.000677376i | 0.000343235 | 3.06007e-5i | ||||||
\(491\) | 0.632679 | − | 0.312003i | 0.0285524 | − | 0.0140805i | −0.427956 | − | 0.903799i | \(-0.640766\pi\) |
0.456509 | + | 0.889719i | \(0.349100\pi\) | |||||||
\(492\) | −9.28511 | − | 22.6085i | −0.418605 | − | 1.01927i | ||||
\(493\) | 47.2261 | − | 16.0311i | 2.12696 | − | 0.722005i | ||||
\(494\) | 25.4607 | + | 34.8446i | 1.14553 | + | 1.56773i | ||||
\(495\) | −0.00152608 | + | 0.00140005i | −6.85921e−5 | + | 6.29274e-5i | ||||
\(496\) | −14.7827 | − | 10.4972i | −0.663762 | − | 0.471340i | ||||
\(497\) | −13.2223 | − | 3.54289i | −0.593099 | − | 0.158920i | ||||
\(498\) | −2.86703 | − | 33.2909i | −0.128475 | − | 1.49180i | ||||
\(499\) | 27.6799 | − | 31.5629i | 1.23912 | − | 1.41295i | 0.362350 | − | 0.932042i | \(-0.381974\pi\) |
0.876772 | − | 0.480906i | \(-0.159692\pi\) | |||||||
\(500\) | −0.0251467 | + | 0.0151459i | −0.00112459 | + | 0.000677346i | ||||
\(501\) | −21.0650 | − | 7.66000i | −0.941114 | − | 0.342224i | ||||
\(502\) | 14.3398 | − | 2.50407i | 0.640016 | − | 0.111762i | ||||
\(503\) | 0.570737 | − | 1.37788i | 0.0254479 | − | 0.0614367i | −0.910645 | − | 0.413190i | \(-0.864414\pi\) |
0.936093 | + | 0.351753i | \(0.114414\pi\) | |||||||
\(504\) | 14.1898 | − | 6.16980i | 0.632062 | − | 0.274825i | ||||
\(505\) | 0.00806718 | + | 0.0194759i | 0.000358985 | + | 0.000866666i | ||||
\(506\) | −2.13925 | + | 1.35789i | −0.0951013 | + | 0.0603655i | ||||
\(507\) | 16.6396 | + | 1.45084i | 0.738991 | + | 0.0644340i | ||||
\(508\) | 14.7467 | + | 0.692690i | 0.654281 | + | 0.0307331i | ||||
\(509\) | −2.42273 | − | 36.9637i | −0.107386 | − | 1.63839i | −0.623468 | − | 0.781849i | \(-0.714277\pi\) |
0.516083 | − | 0.856539i | \(-0.327390\pi\) | |||||||
\(510\) | −0.00472901 | − | 0.0214691i | −0.000209404 | − | 0.000950668i | ||||
\(511\) | 11.7193 | + | 20.2985i | 0.518432 | + | 0.897951i | ||||
\(512\) | −22.1245 | − | 4.74392i | −0.977776 | − | 0.209653i | ||||
\(513\) | 21.9929 | + | 25.0334i | 0.971010 | + | 1.10525i | ||||
\(514\) | 10.9036 | − | 17.9018i | 0.480936 | − | 0.789613i | ||||
\(515\) | 0.0122709 | + | 0.00605133i | 0.000540720 | + | 0.000266654i | ||||
\(516\) | 28.9351 | + | 9.91938i | 1.27380 | + | 0.436676i | ||||
\(517\) | −1.03635 | + | 3.05297i | −0.0455784 | + | 0.134270i | ||||
\(518\) | 9.82592 | + | 5.13570i | 0.431726 | + | 0.225650i | ||||
\(519\) | −2.55080 | − | 23.2280i | −0.111968 | − | 1.01960i | ||||
\(520\) | 0.00864948 | + | 0.0177608i | 0.000379305 | + | 0.000778863i | ||||
\(521\) | −6.29127 | + | 15.1885i | −0.275625 | + | 0.665418i | −0.999705 | − | 0.0242982i | \(-0.992265\pi\) |
0.724079 | + | 0.689717i | \(0.242265\pi\) | |||||||
\(522\) | −27.4762 | + | 21.0369i | −1.20260 | + | 0.920759i | ||||
\(523\) | −16.3087 | + | 24.4077i | −0.713131 | + | 1.06728i | 0.281065 | + | 0.959689i | \(0.409312\pi\) |
−0.994196 | + | 0.107587i | \(0.965688\pi\) | |||||||
\(524\) | 0.518175 | + | 27.9882i | 0.0226366 | + | 1.22267i | ||||
\(525\) | 0.693489 | + | 15.7769i | 0.0302663 | + | 0.688560i | ||||
\(526\) | −4.05477 | + | 5.03508i | −0.176797 | + | 0.219540i | ||||
\(527\) | 7.17321 | + | 26.7708i | 0.312470 | + | 1.16615i | ||||
\(528\) | 1.20016 | − | 3.02943i | 0.0522302 | − | 0.131839i | ||||
\(529\) | −2.19685 | + | 8.19874i | −0.0955151 | + | 0.356467i | ||||
\(530\) | 0.0102832 | + | 0.0140733i | 0.000446675 | + | 0.000611304i | ||||
\(531\) | 18.9004 | − | 19.7669i | 0.820206 | − | 0.857809i | ||||
\(532\) | 14.5786 | + | 18.2881i | 0.632065 | + | 0.792890i | ||||
\(533\) | 2.19581 | − | 33.5016i | 0.0951112 | − | 1.45112i | ||||
\(534\) | −1.40300 | − | 9.19852i | −0.0607139 | − | 0.398059i | ||||
\(535\) | −0.00134552 | + | 0.00103245i | −5.81717e−5 | + | 4.46367e-5i | ||||
\(536\) | −0.0794534 | + | 16.0285i | −0.00343187 | + | 0.692324i | ||||
\(537\) | −15.8517 | + | 36.0546i | −0.684052 | + | 1.55587i | ||||
\(538\) | −10.4001 | − | 2.32368i | −0.448381 | − | 0.100181i | ||||
\(539\) | −0.337182 | − | 1.69513i | −0.0145235 | − | 0.0730143i | ||||
\(540\) | 0.00788159 | + | 0.0130597i | 0.000339170 | + | 0.000561998i | ||||
\(541\) | −5.91479 | − | 8.85211i | −0.254297 | − | 0.380582i | 0.682253 | − | 0.731116i | \(-0.261000\pi\) |
−0.936550 | + | 0.350534i | \(0.886000\pi\) | |||||||
\(542\) | −7.70003 | + | 7.34683i | −0.330745 | + | 0.315574i | ||||
\(543\) | 7.01294 | + | 7.32150i | 0.300954 | + | 0.314195i | ||||
\(544\) | 21.4265 | + | 27.1534i | 0.918655 | + | 1.16419i | ||||
\(545\) | −0.0209371 | − | 0.0120880i | −0.000896845 | − | 0.000517794i | ||||
\(546\) | 21.2332 | + | 0.955951i | 0.908699 | + | 0.0409109i | ||||
\(547\) | −7.77061 | + | 15.7572i | −0.332247 | + | 0.673731i | −0.997329 | − | 0.0730395i | \(-0.976730\pi\) |
0.665082 | + | 0.746771i | \(0.268397\pi\) | |||||||
\(548\) | 26.5389 | − | 2.23351i | 1.13369 | − | 0.0954107i | ||||
\(549\) | 19.6284 | + | 24.4270i | 0.837718 | + | 1.04252i | ||||
\(550\) | 2.44824 | + | 2.25085i | 0.104393 | + | 0.0959767i | ||||
\(551\) | −41.4970 | − | 31.8418i | −1.76783 | − | 1.35651i | ||||
\(552\) | 6.68283 | + | 17.4249i | 0.284440 | + | 0.741655i | ||||
\(553\) | 0.703834 | − | 0.540071i | 0.0299301 | − | 0.0229662i | ||||
\(554\) | 0.711730 | − | 7.98316i | 0.0302385 | − | 0.339172i | ||||
\(555\) | −0.00373522 | + | 0.0102718i | −0.000158551 | + | 0.000436016i | ||||
\(556\) | 8.10455 | + | 18.5854i | 0.343709 | + | 0.788195i | ||||
\(557\) | −4.78778 | + | 24.0698i | −0.202865 | + | 1.01987i | 0.736366 | + | 0.676584i | \(0.236540\pi\) |
−0.939231 | + | 0.343287i | \(0.888460\pi\) | |||||||
\(558\) | −10.6668 | − | 16.0009i | −0.451564 | − | 0.677371i | ||||
\(559\) | 29.7110 | + | 29.7110i | 1.25664 | + | 1.25664i | ||||
\(560\) | 0.00508737 | + | 0.00942017i | 0.000214981 | + | 0.000398075i | ||||
\(561\) | −4.36632 | + | 2.39712i | −0.184346 | + | 0.101207i | ||||
\(562\) | 6.01507 | + | 4.84397i | 0.253730 | + | 0.204330i | ||||
\(563\) | −15.4951 | + | 17.6688i | −0.653040 | + | 0.744650i | −0.979695 | − | 0.200494i | \(-0.935745\pi\) |
0.326655 | + | 0.945144i | \(0.394079\pi\) | |||||||
\(564\) | 20.5292 | + | 11.9351i | 0.864435 | + | 0.502557i | ||||
\(565\) | 0.00662630 | 0.000434311i | 0.000278771 | 1.82716e-5i | ||||||
\(566\) | 3.23180 | + | 1.18233i | 0.135843 | + | 0.0496970i | ||||
\(567\) | 16.3952 | − | 0.735181i | 0.688533 | − | 0.0308747i | ||||
\(568\) | 6.72515 | + | 20.1391i | 0.282181 | + | 0.845017i | ||||
\(569\) | 17.1929 | − | 22.4063i | 0.720766 | − | 0.939320i | −0.279014 | − | 0.960287i | \(-0.590008\pi\) |
0.999780 | + | 0.0209665i | \(0.00667434\pi\) | |||||||
\(570\) | −0.0159663 | + | 0.0166333i | −0.000668753 | + | 0.000696693i | ||||
\(571\) | −5.76566 | + | 16.9851i | −0.241285 | + | 0.710804i | 0.757062 | + | 0.653343i | \(0.226634\pi\) |
−0.998348 | + | 0.0574614i | \(0.981699\pi\) | |||||||
\(572\) | 3.31008 | − | 3.01307i | 0.138402 | − | 0.125983i | ||||
\(573\) | −24.4162 | + | 7.70629i | −1.02000 | + | 0.321935i | ||||
\(574\) | 0.426978 | − | 18.1900i | 0.0178217 | − | 0.759235i | ||||
\(575\) | −19.0473 | −0.794328 | ||||||||
\(576\) | −20.1203 | − | 13.0834i | −0.838345 | − | 0.545141i | ||||
\(577\) | 28.7912 | 1.19859 | 0.599296 | − | 0.800527i | \(-0.295447\pi\) | ||||
0.599296 | + | 0.800527i | \(0.295447\pi\) | |||||||
\(578\) | 0.676607 | − | 28.8246i | 0.0281431 | − | 1.19895i | ||||
\(579\) | −29.8947 | − | 27.3773i | −1.24238 | − | 1.13776i | ||||
\(580\) | −0.0161177 | − | 0.0177066i | −0.000669253 | − | 0.000735224i | ||||
\(581\) | 7.99583 | − | 23.5549i | 0.331723 | − | 0.977224i | ||||
\(582\) | 1.31938 | + | 4.54957i | 0.0546900 | + | 0.188586i | ||||
\(583\) | 2.40415 | − | 3.13315i | 0.0995699 | − | 0.129762i | ||||
\(584\) | 16.2410 | − | 32.5259i | 0.672055 | − | 1.34593i | ||||
\(585\) | 0.00183850 | + | 0.0208725i | 7.60126e−5 | + | 0.000862973i | ||||
\(586\) | 12.1056 | + | 4.42873i | 0.500076 | + | 0.182949i | ||||
\(587\) | −16.4437 | − | 1.07778i | −0.678706 | − | 0.0444847i | −0.277848 | − | 0.960625i | \(-0.589621\pi\) |
−0.400858 | + | 0.916140i | \(0.631288\pi\) | |||||||
\(588\) | −12.7298 | − | 0.0383186i | −0.524966 | − | 0.00158023i | ||||
\(589\) | 19.1653 | − | 21.8539i | 0.789694 | − | 0.900473i | ||||
\(590\) | 0.0147383 | + | 0.0118688i | 0.000606765 | + | 0.000488631i | ||||
\(591\) | −0.644050 | + | 29.9204i | −0.0264927 | + | 1.23076i | ||||
\(592\) | −1.75916 | − | 17.1068i | −0.0723011 | − | 0.703086i | ||||
\(593\) | −0.133137 | − | 0.133137i | −0.00546726 | − | 0.00546726i | 0.704368 | − | 0.709835i | \(-0.251231\pi\) |
−0.709835 | + | 0.704368i | \(0.751231\pi\) | |||||||
\(594\) | 2.33691 | − | 2.54635i | 0.0958844 | − | 0.104478i | ||||
\(595\) | 0.00319280 | − | 0.0160513i | 0.000130892 | − | 0.000658039i | ||||
\(596\) | 5.18382 | − | 2.26052i | 0.212337 | − | 0.0925944i | ||||
\(597\) | 5.18551 | − | 0.915920i | 0.212229 | − | 0.0374861i | ||||
\(598\) | −2.27651 | + | 25.5347i | −0.0930936 | + | 1.04419i | ||||
\(599\) | −33.5900 | + | 25.7745i | −1.37245 | + | 1.05312i | −0.380731 | + | 0.924686i | \(0.624328\pi\) |
−0.991718 | + | 0.128432i | \(0.959006\pi\) | |||||||
\(600\) | 19.8211 | − | 14.3918i | 0.809192 | − | 0.587543i | ||||
\(601\) | −18.3666 | − | 14.0932i | −0.749189 | − | 0.574873i | 0.162035 | − | 0.986785i | \(-0.448194\pi\) |
−0.911223 | + | 0.411912i | \(0.864861\pi\) | |||||||
\(602\) | 16.7633 | + | 15.4118i | 0.683221 | + | 0.628137i | ||||
\(603\) | −6.15246 | + | 15.8487i | −0.250548 | + | 0.645407i | ||||
\(604\) | −1.32797 | − | 15.7792i | −0.0540345 | − | 0.642047i | ||||
\(605\) | 0.00699742 | − | 0.0141894i | 0.000284486 | − | 0.000576880i | ||||
\(606\) | −16.2019 | − | 31.2271i | −0.658158 | − | 1.26851i | ||||
\(607\) | −31.2419 | − | 18.0375i | −1.26807 | − | 0.732121i | −0.293448 | − | 0.955975i | \(-0.594803\pi\) |
−0.974623 | + | 0.223854i | \(0.928136\pi\) | |||||||
\(608\) | 11.1940 | − | 34.5062i | 0.453977 | − | 1.39941i | ||||
\(609\) | −25.0214 | + | 6.13051i | −1.01392 | + | 0.248421i | ||||
\(610\) | −0.0156871 | + | 0.0149675i | −0.000635151 | + | 0.000606017i | ||||
\(611\) | 18.1225 | + | 27.1222i | 0.733156 | + | 1.09725i | ||||
\(612\) | 10.9370 | + | 35.0191i | 0.442103 | + | 1.41556i | ||||
\(613\) | 2.12984 | + | 10.7074i | 0.0860236 | + | 0.432470i | 0.999663 | + | 0.0259450i | \(0.00825947\pi\) |
−0.913640 | + | 0.406525i | \(0.866741\pi\) | |||||||
\(614\) | 2.74643 | + | 0.613632i | 0.110837 | + | 0.0247642i | ||||
\(615\) | 0.0178298 | − | 0.00195799i | 0.000718966 | − | 7.89539e-5i | ||||
\(616\) | 1.72377 | − | 1.70676i | 0.0694527 | − | 0.0687675i | ||||
\(617\) | 32.1533 | − | 24.6721i | 1.29444 | − | 0.993262i | 0.295160 | − | 0.955448i | \(-0.404627\pi\) |
0.999285 | − | 0.0378145i | \(-0.0120396\pi\) | |||||||
\(618\) | −21.2691 | − | 8.30436i | −0.855568 | − | 0.334050i | ||||
\(619\) | −0.0758459 | + | 1.15718i | −0.00304850 | + | 0.0465112i | −0.999112 | − | 0.0421298i | \(-0.986586\pi\) |
0.996064 | + | 0.0886410i | \(0.0282524\pi\) | |||||||
\(620\) | 0.0104045 | − | 0.00829415i | 0.000417857 | − | 0.000333101i | ||||
\(621\) | 0.0174887 | + | 19.7946i | 0.000701799 | + | 0.794328i | ||||
\(622\) | −0.428517 | − | 0.586453i | −0.0171820 | − | 0.0235146i | ||||
\(623\) | 1.79284 | − | 6.69098i | 0.0718288 | − | 0.268069i | ||||
\(624\) | −16.9245 | − | 28.2921i | −0.677523 | − | 1.13259i | ||||
\(625\) | 6.47047 | + | 24.1481i | 0.258819 | + | 0.965925i | ||||
\(626\) | −7.06657 | + | 8.77502i | −0.282437 | + | 0.350720i | ||||
\(627\) | 4.63451 | + | 2.41084i | 0.185084 | + | 0.0962795i | ||||
\(628\) | 9.87314 | − | 0.182792i | 0.393981 | − | 0.00729420i | ||||
\(629\) | −14.6048 | + | 21.8577i | −0.582333 | + | 0.871523i | ||||
\(630\) | 0.00147023 | + | 0.0112600i | 5.85752e−5 | + | 0.000448608i | ||||
\(631\) | 13.9275 | − | 33.6240i | 0.554446 | − | 1.33855i | −0.359662 | − | 0.933083i | \(-0.617108\pi\) |
0.914109 | − | 0.405470i | \(-0.132892\pi\) | |||||||
\(632\) | −1.30083 | − | 0.448775i | −0.0517442 | − | 0.0178513i | ||||
\(633\) | −5.29431 | + | 3.88435i | −0.210430 | + | 0.154389i | ||||
\(634\) | 25.1761 | + | 13.1588i | 0.999871 | + | 0.522602i | ||||
\(635\) | −0.00348262 | + | 0.0102595i | −0.000138204 | + | 0.000407134i | ||||
\(636\) | −19.1129 | − | 21.9269i | −0.757876 | − | 0.869458i | ||||
\(637\) | −15.6831 | − | 7.73406i | −0.621388 | − | 0.306435i | ||||
\(638\) | −2.82209 | + | 4.63337i | −0.111727 | + | 0.183437i | ||||
\(639\) | −0.969067 | + | 22.4994i | −0.0383357 | + | 0.890061i | ||||
\(640\) | 0.00783768 | − | 0.0146401i | 0.000309812 | − | 0.000578701i | ||||
\(641\) | 5.10204 | + | 8.83699i | 0.201518 | + | 0.349040i | 0.949018 | − | 0.315222i | \(-0.102079\pi\) |
−0.747499 | + | 0.664262i | \(0.768746\pi\) | |||||||
\(642\) | 2.08933 | − | 1.90930i | 0.0824591 | − | 0.0753541i | ||||
\(643\) | 1.71880 | + | 26.2238i | 0.0677829 | + | 1.03417i | 0.887324 | + | 0.461147i | \(0.152562\pi\) |
−0.819541 | + | 0.573020i | \(0.805772\pi\) | |||||||
\(644\) | −0.651881 | + | 13.8780i | −0.0256877 | + | 0.546868i | ||||
\(645\) | −0.0128704 | + | 0.0183924i | −0.000506773 | + | 0.000724201i | ||||
\(646\) | −46.8182 | + | 29.7179i | −1.84204 | + | 1.16923i | ||||
\(647\) | 10.4689 | + | 25.2743i | 0.411577 | + | 0.993634i | 0.984715 | + | 0.174175i | \(0.0557258\pi\) |
−0.573138 | + | 0.819459i | \(0.694274\pi\) | |||||||
\(648\) | −14.9746 | − | 20.5855i | −0.588258 | − | 0.808673i | ||||
\(649\) | 1.64079 | − | 3.96121i | 0.0644066 | − | 0.155491i | ||||
\(650\) | 33.1461 | − | 5.78810i | 1.30010 | − | 0.227028i | ||||
\(651\) | −2.49011 | − | 14.0978i | −0.0975951 | − | 0.552538i | ||||
\(652\) | −0.788648 | − | 1.30939i | −0.0308858 | − | 0.0512796i | ||||
\(653\) | −24.3006 | + | 27.7095i | −0.950955 | + | 1.08436i | 0.0453925 | + | 0.998969i | \(0.485546\pi\) |
−0.996348 | + | 0.0853875i | \(0.972787\pi\) | |||||||
\(654\) | 36.5426 | + | 17.1005i | 1.42893 | + | 0.668683i | ||||
\(655\) | −0.0198438 | − | 0.00531713i | −0.000775361 | − | 0.000207757i | ||||
\(656\) | −23.9018 | + | 15.0060i | −0.933209 | + | 0.585885i | ||||
\(657\) | 28.4145 | − | 26.0679i | 1.10855 | − | 1.01701i | ||||
\(658\) | 10.4296 | + | 14.2736i | 0.406588 | + | 0.556442i | ||||
\(659\) | 27.3977 | − | 9.30027i | 1.06726 | − | 0.362287i | 0.268094 | − | 0.963393i | \(-0.413606\pi\) |
0.799169 | + | 0.601106i | \(0.205273\pi\) | |||||||
\(660\) | 0.00189282 | + | 0.00146149i | 7.36781e−5 | + | 5.68883e-5i | ||||
\(661\) | −44.0314 | + | 21.7139i | −1.71262 | + | 0.844573i | −0.724807 | + | 0.688952i | \(0.758071\pi\) |
−0.987817 | + | 0.155621i | \(0.950262\pi\) | |||||||
\(662\) | −33.0389 | − | 2.94554i | −1.28409 | − | 0.114482i | ||||
\(663\) | −7.65172 | + | 49.8116i | −0.297168 | + | 1.93452i | ||||
\(664\) | −37.3176 | + | 9.80122i | −1.44820 | + | 0.380361i | ||||
\(665\) | −0.0158576 | + | 0.00656844i | −0.000614932 | + | 0.000254713i | ||||
\(666\) | 4.73964 | − | 17.6137i | 0.183657 | − | 0.682515i | ||||
\(667\) | −6.06178 | − | 30.4746i | −0.234713 | − | 1.17998i | ||||
\(668\) | −4.57857 | + | 25.4738i | −0.177150 | + | 0.985611i | ||||
\(669\) | −13.7473 | − | 43.5561i | −0.531501 | − | 1.68398i | ||||
\(670\) | −0.0112879 | − | 0.00331037i | −0.000436090 | − | 0.000127891i | ||||
\(671\) | 4.25452 | + | 2.45635i | 0.164244 | + | 0.0948264i | ||||
\(672\) | −9.80757 | − | 14.9343i | −0.378335 | − | 0.576102i | ||||
\(673\) | −1.23439 | + | 0.712678i | −0.0475824 | + | 0.0274717i | −0.523602 | − | 0.851963i | \(-0.675412\pi\) |
0.476020 | + | 0.879434i | \(0.342079\pi\) | |||||||
\(674\) | −38.4778 | + | 9.34810i | −1.48211 | + | 0.360076i | ||||
\(675\) | 25.0895 | − | 6.74648i | 0.965696 | − | 0.259672i | ||||
\(676\) | −1.61744 | − | 19.2187i | −0.0622093 | − | 0.739181i | ||||
\(677\) | −6.29388 | + | 5.51958i | −0.241893 | + | 0.212135i | −0.771705 | − | 0.635980i | \(-0.780596\pi\) |
0.529812 | + | 0.848115i | \(0.322263\pi\) | |||||||
\(678\) | −11.0796 | + | 0.226707i | −0.425510 | + | 0.00870664i | ||||
\(679\) | −0.460296 | + | 3.49629i | −0.0176645 | + | 0.134175i | ||||
\(680\) | −0.0235002 | + | 0.00959792i | −0.000901193 | + | 0.000368063i | ||||
\(681\) | −26.4355 | − | 21.2039i | −1.01301 | − | 0.812535i | ||||
\(682\) | −2.46676 | − | 1.73332i | −0.0944569 | − | 0.0663723i | ||||
\(683\) | −12.9557 | − | 8.65675i | −0.495738 | − | 0.331241i | 0.282440 | − | 0.959285i | \(-0.408856\pi\) |
−0.778178 | + | 0.628043i | \(0.783856\pi\) | |||||||
\(684\) | 24.1651 | − | 29.9421i | 0.923975 | − | 1.14487i | ||||
\(685\) | −0.00381315 | + | 0.0191700i | −0.000145693 | + | 0.000732447i | ||||
\(686\) | −25.1789 | − | 11.1287i | −0.961334 | − | 0.424895i | ||||
\(687\) | 16.5463 | − | 27.2855i | 0.631280 | − | 1.04101i | ||||
\(688\) | 5.60362 | − | 34.8728i | 0.213636 | − | 1.32951i | ||||
\(689\) | −10.3415 | − | 38.5951i | −0.393981 | − | 1.47036i | ||||
\(690\) | −0.0136457 | + | 0.00117518i | −0.000519485 | + | 4.47383e-5i | ||||
\(691\) | 1.75958 | + | 5.18356i | 0.0669377 | + | 0.197192i | 0.975252 | − | 0.221096i | \(-0.0709635\pi\) |
−0.908314 | + | 0.418288i | \(0.862630\pi\) | |||||||
\(692\) | −25.9295 | + | 7.46487i | −0.985690 | + | 0.283772i | ||||
\(693\) | 2.35442 | − | 1.03763i | 0.0894372 | − | 0.0394162i | ||||
\(694\) | −8.15832 | − | 2.98466i | −0.309686 | − | 0.113296i | ||||
\(695\) | −0.0147528 | + | 0.00194224i | −0.000559605 | + | 7.36734e-5i | ||||
\(696\) | 29.3341 | + | 27.1324i | 1.11191 | + | 1.02845i | ||||
\(697\) | 42.7720 | + | 5.63104i | 1.62010 | + | 0.213291i | ||||
\(698\) | 2.43852 | − | 4.66551i | 0.0922993 | − | 0.176592i | ||||
\(699\) | 2.82066 | − | 4.03085i | 0.106687 | − | 0.152461i | ||||
\(700\) | 17.8159 | − | 3.88796i | 0.673377 | − | 0.146951i | ||||
\(701\) | −26.9818 | + | 18.0287i | −1.01909 | + | 0.680934i | −0.948567 | − | 0.316576i | \(-0.897467\pi\) |
−0.0705224 | + | 0.997510i | \(0.522467\pi\) | |||||||
\(702\) | −6.04560 | − | 34.4411i | −0.228176 | − | 1.29990i | ||||
\(703\) | 27.5704 | 1.03984 | ||||||||
\(704\) | −3.68284 | − | 0.770594i | −0.138802 | − | 0.0290428i | ||||
\(705\) | −0.0125853 | + | 0.0120549i | −0.000473991 | + | 0.000454015i | ||||
\(706\) | 2.02265 | − | 1.10532i | 0.0761234 | − | 0.0415992i | ||||
\(707\) | −1.71289 | − | 26.1336i | −0.0644197 | − | 0.982855i | ||||
\(708\) | −26.2045 | − | 17.6236i | −0.984827 | − | 0.662337i | ||||
\(709\) | 22.6388 | + | 25.8147i | 0.850220 | + | 0.969490i | 0.999815 | − | 0.0192575i | \(-0.00613023\pi\) |
−0.149595 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(710\) | −0.0155685 | 0.000653963i | −0.000584274 | 2.45428e-5i | ||||||
\(711\) | −1.11862 | − | 0.937513i | −0.0419516 | − | 0.0351595i | ||||
\(712\) | −10.1912 | + | 3.40319i | −0.381930 | + | 0.127540i | ||||
\(713\) | 17.1193 | − | 2.25380i | 0.641122 | − | 0.0844053i | ||||
\(714\) | −3.01021 | + | 27.1454i | −0.112654 | + | 1.01589i | ||||
\(715\) | 0.00145290 | + | 0.00294619i | 5.43353e−5 | + | 0.000110181i | ||||
\(716\) | 44.1391 | + | 10.9555i | 1.64955 | + | 0.409426i | ||||
\(717\) | −0.433719 | − | 9.86712i | −0.0161975 | − | 0.368494i | ||||
\(718\) | −14.1883 | + | 5.49057i | −0.529504 | + | 0.204906i | ||||
\(719\) | 6.60506 | − | 6.60506i | 0.246327 | − | 0.246327i | −0.573134 | − | 0.819461i | \(-0.694273\pi\) |
0.819461 | + | 0.573134i | \(0.194273\pi\) | |||||||
\(720\) | 0.0133121 | − | 0.0115334i | 0.000496114 | − | 0.000429824i | ||||
\(721\) | −12.0193 | − | 12.0193i | −0.447621 | − | 0.447621i | ||||
\(722\) | 28.6181 | + | 12.6487i | 1.06505 | + | 0.470737i | ||||
\(723\) | −5.15481 | + | 9.90942i | −0.191709 | + | 0.368535i | ||||
\(724\) | 6.95346 | − | 9.41790i | 0.258423 | − | 0.350014i | ||||
\(725\) | −36.5764 | + | 18.0375i | −1.35841 | + | 0.669895i | ||||
\(726\) | −9.60269 | + | 24.5944i | −0.356389 | + | 0.912783i | ||||
\(727\) | −4.90476 | − | 37.2553i | −0.181907 | − | 1.38172i | −0.802060 | − | 0.597243i | \(-0.796263\pi\) |
0.620153 | − | 0.784481i | \(-0.287070\pi\) | |||||||
\(728\) | −3.08283 | − | 24.3485i | −0.114257 | − | 0.902415i | ||||
\(729\) | −7.03419 | − | 26.0676i | −0.260525 | − | 0.965467i | ||||
\(730\) | 0.0196414 | + | 0.0180578i | 0.000726959 | + | 0.000668349i | ||||
\(731\) | −40.5931 | + | 35.5992i | −1.50139 | + | 1.31668i | ||||
\(732\) | 23.9394 | − | 27.1325i | 0.884826 | − | 1.00284i | ||||
\(733\) | −18.6800 | + | 1.22435i | −0.689960 | + | 0.0452224i | −0.406350 | − | 0.913717i | \(-0.633199\pi\) |
−0.283610 | + | 0.958940i | \(0.591532\pi\) | |||||||
\(734\) | −10.0708 | + | 34.3400i | −0.371719 | + | 1.26751i | ||||
\(735\) | 0.00261161 | − | 0.00896985i | 9.63306e−5 | − | 0.000330858i | ||||
\(736\) | 18.5147 | − | 11.0268i | 0.682462 | − | 0.406452i | ||||
\(737\) | 2.66532i | 0.0981783i | ||||||||
\(738\) | −29.3649 | + | 5.80859i | −1.08094 | + | 0.213817i | ||||
\(739\) | −3.21218 | − | 4.80737i | −0.118162 | − | 0.176842i | 0.767674 | − | 0.640841i | \(-0.221414\pi\) |
−0.885836 | + | 0.463999i | \(0.846414\pi\) | |||||||
\(740\) | 0.0124217 | + | 0.00223263i | 0.000456631 | + | 8.20732e-5i | ||||
\(741\) | 47.8958 | − | 22.3513i | 1.75949 | − | 0.821097i | ||||
\(742\) | −6.47743 | − | 20.6628i | −0.237794 | − | 0.758554i | ||||
\(743\) | 2.08236 | − | 15.8171i | 0.0763946 | − | 0.580274i | −0.909845 | − | 0.414949i | \(-0.863799\pi\) |
0.986239 | − | 0.165325i | \(-0.0528673\pi\) | |||||||
\(744\) | −16.1118 | + | 15.2804i | −0.590687 | + | 0.560205i | ||||
\(745\) | 0.000541729 | 0.00411484i | 1.98474e−5 | 0.000150756i | ||||||
\(746\) | 11.4983 | + | 24.7650i | 0.420984 | + | 0.906712i | ||||
\(747\) | −40.6831 | − | 4.43128i | −1.48852 | − | 0.162132i | ||||
\(748\) | 3.58524 | + | 4.49748i | 0.131089 | + | 0.164444i | ||||
\(749\) | 1.99521 | − | 0.677282i | 0.0729033 | − | 0.0247473i | ||||
\(750\) | 0.0122508 | + | 0.0338016i | 0.000447337 | + | 0.00123426i | ||||
\(751\) | −21.9828 | + | 5.89026i | −0.802162 | + | 0.214939i | −0.636533 | − | 0.771249i | \(-0.719632\pi\) |
−0.165629 | + | 0.986188i | \(0.552965\pi\) | |||||||
\(752\) | 9.54830 | − | 25.7039i | 0.348191 | − | 0.937324i | ||||
\(753\) | 0.383674 | − | 17.8242i | 0.0139819 | − | 0.649551i | ||||
\(754\) | 19.8093 | + | 51.1898i | 0.721413 | + | 1.86422i | ||||
\(755\) | 0.0113979 | + | 0.00226718i | 0.000414811 | + | 8.25111e-5i | ||||
\(756\) | −4.05684 | − | 18.5112i | −0.147546 | − | 0.673247i | ||||
\(757\) | −11.8040 | + | 17.6659i | −0.429023 | + | 0.642079i | −0.981503 | − | 0.191448i | \(-0.938682\pi\) |
0.552480 | + | 0.833526i | \(0.313682\pi\) | |||||||
\(758\) | 30.6850 | − | 5.35833i | 1.11453 | − | 0.194623i | ||||
\(759\) | 1.12560 | + | 2.89196i | 0.0408567 | + | 0.104971i | ||||
\(760\) | 0.0220626 | + | 0.0149005i | 0.000800296 | + | 0.000540498i | ||||
\(761\) | −36.7874 | − | 4.84315i | −1.33354 | − | 0.175564i | −0.570171 | − | 0.821526i | \(-0.693123\pi\) |
−0.763370 | + | 0.645962i | \(0.776456\pi\) | |||||||
\(762\) | 4.32142 | − | 17.5569i | 0.156549 | − | 0.636019i | ||||
\(763\) | 19.8037 | + | 22.5818i | 0.716942 | + | 0.817516i | ||||
\(764\) | 13.5645 | + | 26.2688i | 0.490748 | + | 0.950372i | ||||
\(765\) | −0.0269177 | 0.000603210i | −0.000973213 | 2.18091e-5i | ||||||
\(766\) | −1.84059 | + | 3.02193i | −0.0665033 | + | 0.109187i | ||||
\(767\) | −21.6898 | − | 37.5679i | −0.783174 | − | 1.35650i | ||||
\(768\) | −10.9352 | + | 25.4641i | −0.394591 | + | 0.918857i | ||||
\(769\) | 16.0980 | − | 27.8825i | 0.580508 | − | 1.00547i | −0.414912 | − | 0.909862i | \(-0.636187\pi\) |
0.995419 | − | 0.0956070i | \(-0.0304792\pi\) | |||||||
\(770\) | 0.000853706 | 0.00156222i | 3.07654e−5 | 5.62984e-5i | ||||||
\(771\) | −18.9323 | − | 17.3380i | −0.681832 | − | 0.624414i | ||||
\(772\) | −25.2800 | + | 39.3937i | −0.909846 | + | 1.41781i | ||||
\(773\) | −46.8642 | + | 9.32186i | −1.68559 | + | 0.335284i | −0.942575 | − | 0.333994i | \(-0.891603\pi\) |
−0.743012 | + | 0.669278i | \(0.766603\pi\) | |||||||
\(774\) | 18.7658 | − | 32.4237i | 0.674523 | − | 1.16545i | ||||
\(775\) | −8.67286 | − | 20.9381i | −0.311538 | − | 0.752120i | ||||
\(776\) | 4.91768 | − | 2.39490i | 0.176534 | − | 0.0859718i | ||||
\(777\) | 8.49623 | − | 10.5925i | 0.304800 | − | 0.380003i | ||||
\(778\) | 3.08070 | + | 3.68379i | 0.110449 | + | 0.132070i | ||||
\(779\) | −20.0116 | − | 40.5796i | −0.716991 | − | 1.45391i | ||||
\(780\) | 0.0233892 | − | 0.00619171i | 0.000837467 | − | 0.000221699i | ||||
\(781\) | 1.13487 | + | 3.34323i | 0.0406090 | + | 0.119630i | ||||
\(782\) | −32.5498 | − | 5.06496i | −1.16398 | − | 0.181123i | ||||
\(783\) | 18.7787 | + | 37.9947i | 0.671096 | + | 1.35782i | ||||
\(784\) | 2.45675 | + | 14.4924i | 0.0877409 | + | 0.517585i | ||||
\(785\) | −0.00187568 | + | 0.00700012i | −6.69458e−5 | + | 0.000249845i | ||||
\(786\) | 33.7553 | + | 5.99923i | 1.20401 | + | 0.213986i | ||||
\(787\) | −20.0021 | − | 17.5414i | −0.712998 | − | 0.625283i | 0.224011 | − | 0.974587i | \(-0.428085\pi\) |
−0.937010 | + | 0.349304i | \(0.886418\pi\) | |||||||
\(788\) | 34.1721 | − | 5.14405i | 1.21733 | − | 0.183249i | ||||
\(789\) | 5.09118 | + | 6.06380i | 0.181251 | + | 0.215877i | ||||
\(790\) | 0.000580611 | 0 | 0.000826289i | 2.06572e−5 | 0 | 2.93980e-5i | ||||
\(791\) | −7.62194 | − | 3.15711i | −0.271005 | − | 0.112254i | ||||
\(792\) | −3.35643 | − | 2.15895i | −0.119266 | − | 0.0767151i | ||||
\(793\) | 45.9207 | − | 19.0210i | 1.63069 | − | 0.675455i | ||||
\(794\) | 39.7771 | + | 8.88735i | 1.41164 | + | 0.315400i | ||||
\(795\) | 0.0193445 | − | 0.00902741i | 0.000686078 | − | 0.000320169i | ||||
\(796\) | −2.06073 | − | 5.72055i | −0.0730405 | − | 0.202759i | ||||
\(797\) | 30.9704 | − | 2.02990i | 1.09703 | − | 0.0719029i | 0.493877 | − | 0.869532i | \(-0.335579\pi\) |
0.603149 | + | 0.797629i | \(0.293912\pi\) | |||||||
\(798\) | 25.4256 | − | 13.1919i | 0.900057 | − | 0.466988i | ||||
\(799\) | −36.2997 | + | 20.9576i | −1.28419 | + | 0.741428i | ||||
\(800\) | −20.2692 | − | 19.7271i | −0.716626 | − | 0.697457i | ||||
\(801\) | −11.3856 | − | 0.490386i | −0.402289 | − | 0.0173269i | ||||
\(802\) | −39.9087 | + | 9.69573i | −1.40922 | + | 0.342368i | ||||
\(803\) | 2.67378 | − | 5.42188i | 0.0943555 | − | 0.191334i | ||||
\(804\) | 19.2422 | + | 3.88776i | 0.678620 | + | 0.137111i | ||||
\(805\) | −0.00965504 | − | 0.00327745i | −0.000340296 | − | 0.000115515i | ||||
\(806\) | −29.1060 | + | 9.12425i | −1.02522 | + | 0.321388i | ||||
\(807\) | −5.25295 | + | 11.9478i | −0.184912 | + | 0.420581i | ||||
\(808\) | −32.3501 | + | 24.5693i | −1.13807 | + | 0.864344i | ||||
\(809\) | −6.38666 | − | 2.64544i | −0.224543 | − | 0.0930088i | 0.267576 | − | 0.963537i | \(-0.413777\pi\) |
−0.492119 | + | 0.870528i | \(0.663777\pi\) | |||||||
\(810\) | 0.0175582 | − | 0.00638124i | 0.000616933 | − | 0.000224214i | ||||
\(811\) | 7.71383 | + | 5.15421i | 0.270869 | + | 0.180989i | 0.683585 | − | 0.729871i | \(-0.260420\pi\) |
−0.412716 | + | 0.910860i | \(0.635420\pi\) | |||||||
\(812\) | 11.8904 | + | 27.2670i | 0.417271 | + | 0.956885i | ||||
\(813\) | 7.00670 | + | 10.9912i | 0.245736 | + | 0.385477i | ||||
\(814\) | −0.306619 | − | 2.84312i | −0.0107470 | − | 0.0996512i | ||||
\(815\) | 0.00108357 | 0.000290341i | 3.79556e−5 | 1.01702e-5i | ||||||
\(816\) | 37.6991 | − | 19.3233i | 1.31973 | − | 0.676451i | ||||
\(817\) | 54.6961 | + | 14.6558i | 1.91357 | + | 0.512741i | ||||
\(818\) | 4.40994 | − | 28.3403i | 0.154190 | − | 0.990896i | ||||
\(819\) | 6.17246 | − | 25.2893i | 0.215683 | − | 0.883678i | ||||
\(820\) | −0.00573003 | − | 0.0199034i | −0.000200101 | − | 0.000695058i | ||||
\(821\) | −13.2058 | − | 0.865551i | −0.460884 | − | 0.0302079i | −0.166807 | − | 0.985990i | \(-0.553346\pi\) |
−0.294077 | + | 0.955782i | \(0.595012\pi\) | |||||||
\(822\) | 3.59508 | − | 32.4196i | 0.125393 | − | 1.13076i | ||||
\(823\) | 25.3932 | + | 33.0930i | 0.885150 | + | 1.15355i | 0.987314 | + | 0.158782i | \(0.0507568\pi\) |
−0.102164 | + | 0.994768i | \(0.532577\pi\) | |||||||
\(824\) | −5.27168 | + | 25.8326i | −0.183648 | + | 0.899922i | ||||
\(825\) | 3.28404 | − | 2.40944i | 0.114336 | − | 0.0838861i | ||||
\(826\) | −12.5988 | − | 19.8484i | −0.438368 | − | 0.690616i | ||||
\(827\) | −15.8526 | + | 3.15328i | −0.551249 | + | 0.109650i | −0.462853 | − | 0.886435i | \(-0.653174\pi\) |
−0.0883961 | + | 0.996085i | \(0.528174\pi\) | |||||||
\(828\) | 22.5202 | − | 3.90790i | 0.782633 | − | 0.135809i | ||||
\(829\) | −17.8321 | + | 11.9150i | −0.619333 | + | 0.413825i | −0.825268 | − | 0.564741i | \(-0.808976\pi\) |
0.205936 | + | 0.978566i | \(0.433976\pi\) | |||||||
\(830\) | 0.000664484 | − | 0.0283081i | 2.30646e−5 | − | 0.000982590i | ||||
\(831\) | −9.42477 | − | 2.74406i | −0.326942 | − | 0.0951903i | ||||
\(832\) | −28.8685 | + | 24.8150i | −1.00083 | + | 0.860305i | ||||
\(833\) | 11.2348 | − | 19.4593i | 0.389263 | − | 0.674224i | ||||
\(834\) | 24.2511 | − | 5.34179i | 0.839746 | − | 0.184971i | ||||
\(835\) | −0.0170357 | − | 0.00840109i | −0.000589546 | − | 0.000290732i | ||||
\(836\) | 1.83293 | − | 5.74701i | 0.0633931 | − | 0.198764i | ||||
\(837\) | −21.7516 | + | 9.03232i | −0.751845 | + | 0.312203i | ||||
\(838\) | −4.27776 | + | 0.179690i | −0.147773 | + | 0.00620728i | ||||
\(839\) | −11.4962 | + | 14.9821i | −0.396892 | + | 0.517239i | −0.948463 | − | 0.316889i | \(-0.897362\pi\) |
0.551571 | + | 0.834128i | \(0.314029\pi\) | |||||||
\(840\) | 0.0125236 | − | 0.00388459i | 0.000432107 | − | 0.000134031i | ||||
\(841\) | −22.8452 | − | 29.7725i | −0.787767 | − | 1.02664i | ||||
\(842\) | −37.6060 | + | 31.4494i | −1.29599 | + | 1.08382i | ||||
\(843\) | 7.24402 | − | 6.08209i | 0.249497 | − | 0.209478i | ||||
\(844\) | 5.45978 | + | 5.26129i | 0.187934 | + | 0.181101i | ||||
\(845\) | 0.0138823 | + | 0.00276137i | 0.000477567 | + | 9.49940e-5i | ||||
\(846\) | 19.1992 | − | 21.8456i | 0.660083 | − | 0.751068i | ||||
\(847\) | −13.8984 | + | 13.8984i | −0.477555 | + | 0.477555i | ||||
\(848\) | −21.1959 | + | 26.0549i | −0.727870 | + | 0.894728i | ||||
\(849\) | 2.18541 | − | 3.60384i | 0.0750031 | − | 0.123683i | ||||
\(850\) | 4.63598 | + | 42.9871i | 0.159013 | + | 1.47445i | ||||
\(851\) | 12.3135 | + | 10.7987i | 0.422103 | + | 0.370174i | ||||
\(852\) | 25.7918 | − | 3.31660i | 0.883611 | − | 0.113625i | ||||
\(853\) | −2.72254 | + | 41.5379i | −0.0932180 | + | 1.42223i | 0.653417 | + | 0.756998i | \(0.273335\pi\) |
−0.746635 | + | 0.665234i | \(0.768332\pi\) | |||||||
\(854\) | 24.4319 | − | 11.3437i | 0.836044 | − | 0.388173i | ||||
\(855\) | 0.0162103 | + | 0.0231216i | 0.000554379 | + | 0.000790744i | ||||
\(856\) | −2.58292 | − | 2.00237i | −0.0882824 | − | 0.0684394i | ||||
\(857\) | 29.7993 | + | 22.8658i | 1.01792 | + | 0.781080i | 0.975940 | − | 0.218038i | \(-0.0699658\pi\) |
0.0419830 | + | 0.999118i | \(0.486632\pi\) | |||||||
\(858\) | −2.83757 | − | 4.69052i | −0.0968732 | − | 0.160132i | ||||
\(859\) | −3.23755 | − | 1.09900i | −0.110464 | − | 0.0374974i | 0.265660 | − | 0.964067i | \(-0.414410\pi\) |
−0.376124 | + | 0.926569i | \(0.622743\pi\) | |||||||
\(860\) | 0.0234562 | + | 0.0110323i | 0.000799850 | + | 0.000376199i | ||||
\(861\) | −21.7574 | − | 4.81678i | −0.741490 | − | 0.164155i | ||||
\(862\) | 8.59217 | + | 9.00524i | 0.292650 | + | 0.306720i | ||||
\(863\) | − | 39.0383i | − | 1.32888i | −0.747342 | − | 0.664440i | \(-0.768670\pi\) | ||
0.747342 | − | 0.664440i | \(-0.231330\pi\) | |||||||
\(864\) | −20.4824 | + | 21.0825i | −0.696824 | + | 0.717242i | ||||
\(865\) | − | 0.0198023i | − | 0.000673299i | ||||||
\(866\) | −9.48027 | + | 9.04541i | −0.322153 | + | 0.307376i | ||||
\(867\) | −34.4777 | − | 7.63287i | −1.17092 | − | 0.259226i | ||||
\(868\) | −15.5524 | + | 5.60249i | −0.527884 | + | 0.190161i | ||||
\(869\) | −0.216675 | − | 0.0735512i | −0.00735020 | − | 0.00249506i | ||||
\(870\) | −0.0250909 | + | 0.0151790i | −0.000850662 | + | 0.000514615i | ||||
\(871\) | 21.3939 | + | 16.4161i | 0.724903 | + | 0.556238i | ||||
\(872\) | 12.2806 | − | 44.9396i | 0.415874 | − | 1.52185i | ||||
\(873\) | 5.77926 | − | 0.509050i | 0.195598 | − | 0.0172287i | ||||
\(874\) | 14.5491 | + | 31.3357i | 0.492130 | + | 1.05994i | ||||
\(875\) | −0.00175053 | + | 0.0267080i | −5.91788e−5 | + | 0.000902895i | ||||
\(876\) | −35.2430 | − | 27.2119i | −1.19075 | − | 0.919404i | ||||
\(877\) | −13.9384 | − | 12.2236i | −0.470666 | − | 0.412763i | 0.390880 | − | 0.920441i | \(-0.372171\pi\) |
−0.861547 | + | 0.507678i | \(0.830504\pi\) | |||||||
\(878\) | −44.0036 | + | 4.74561i | −1.48505 | + | 0.160157i | ||||
\(879\) | 8.18603 | − | 13.4991i | 0.276108 | − | 0.455314i | ||||
\(880\) | 0.00129120 | − | 0.00244085i | 4.35264e−5 | − | 8.22812e-5i | ||||
\(881\) | −11.4545 | + | 11.4545i | −0.385911 | + | 0.385911i | −0.873226 | − | 0.487315i | \(-0.837976\pi\) |
0.487315 | + | 0.873226i | \(0.337976\pi\) | |||||||
\(882\) | −3.05787 | + | 15.2880i | −0.102964 | + | 0.514773i | ||||
\(883\) | −24.8260 | − | 4.93819i | −0.835460 | − | 0.166183i | −0.241219 | − | 0.970471i | \(-0.577547\pi\) |
−0.594241 | + | 0.804287i | \(0.702547\pi\) | |||||||
\(884\) | 58.1822 | − | 1.07719i | 1.95688 | − | 0.0362298i | ||||
\(885\) | 0.0177495 | − | 0.0149025i | 0.000596642 | − | 0.000500941i | ||||
\(886\) | −31.2526 | − | 37.3707i | −1.04995 | − | 1.25549i | ||||
\(887\) | 31.0480 | + | 40.4625i | 1.04249 | + | 1.35860i | 0.931076 | + | 0.364825i | \(0.118871\pi\) |
0.111414 | + | 0.993774i | \(0.464462\pi\) | |||||||
\(888\) | −20.9730 | − | 1.93348i | −0.703809 | − | 0.0648833i | ||||
\(889\) | 8.19411 | − | 10.6788i | 0.274822 | − | 0.358155i | ||||
\(890\) | −0.000330931 | − | 0.00787826i | −1.10928e−5 | − | 0.000264080i | ||||
\(891\) | −2.50698 | − | 3.41066i | −0.0839871 | − | 0.114261i | ||||
\(892\) | −46.8611 | + | 24.1979i | −1.56903 | + | 0.810204i | ||||
\(893\) | 39.4266 | + | 19.4430i | 1.31936 | + | 0.650637i | ||||
\(894\) | −1.48993 | − | 6.76409i | −0.0498307 | − | 0.226225i | ||||
\(895\) | −0.0166881 | + | 0.0289046i | −0.000557821 | + | 0.000966175i | ||||
\(896\) | −15.0669 | + | 14.0931i | −0.503351 | + | 0.470818i | ||||
\(897\) | 30.1457 | + | 8.77705i | 1.00654 | + | 0.293057i | ||||
\(898\) | 14.4805 | + | 0.339905i | 0.483221 | + | 0.0113428i | ||||
\(899\) | 30.7397 | − | 20.5396i | 1.02523 | − | 0.685034i | ||||
\(900\) | −12.6047 | − | 27.2236i | −0.420155 | − | 0.907452i | ||||
\(901\) | 50.3566 | − | 10.0165i | 1.67762 | − | 0.333700i | ||||
\(902\) | −3.96209 | + | 2.51493i | −0.131923 | + | 0.0837381i | ||||
\(903\) | 22.4861 | − | 16.4977i | 0.748290 | − | 0.549008i | ||||
\(904\) | 2.43420 | + | 12.5627i | 0.0809601 | + | 0.417828i | ||||
\(905\) | 0.00523016 | + | 0.00681607i | 0.000173856 | + | 0.000226574i | ||||
\(906\) | −19.2757 | − | 2.13752i | −0.640392 | − | 0.0710144i | ||||
\(907\) | 41.0907 | + | 2.69323i | 1.36439 | + | 0.0894271i | 0.729928 | − | 0.683524i | \(-0.239553\pi\) |
0.634466 | + | 0.772951i | \(0.281220\pi\) | |||||||
\(908\) | −18.9349 | + | 34.2450i | −0.628378 | + | 1.13646i | ||||
\(909\) | −41.3581 | + | 12.0812i | −1.37176 | + | 0.400709i | ||||
\(910\) | 0.0177976 | + | 0.00276943i | 0.000589985 | + | 9.18056e-5i | ||||
\(911\) | −11.4766 | − | 3.07514i | −0.380236 | − | 0.101884i | 0.0636385 | − | 0.997973i | \(-0.479730\pi\) |
−0.443874 | + | 0.896089i | \(0.646396\pi\) | |||||||
\(912\) | −38.8168 | − | 21.6156i | −1.28535 | − | 0.715764i | ||||
\(913\) | −6.19719 | + | 1.66053i | −0.205097 | + | 0.0549556i | ||||
\(914\) | 46.2498 | − | 4.98785i | 1.52981 | − | 0.164984i | ||||
\(915\) | 0.0142746 | + | 0.0223920i | 0.000471903 | + | 0.000740258i | ||||
\(916\) | −34.2975 | − | 13.4682i | −1.13322 | − | 0.445002i | ||||
\(917\) | 21.2215 | + | 14.1797i | 0.700794 | + | 0.468256i | ||||
\(918\) | 44.6692 | − | 4.85733i | 1.47430 | − | 0.160316i | ||||
\(919\) | 23.7265 | + | 9.82782i | 0.782664 | + | 0.324190i | 0.737990 | − | 0.674812i | \(-0.235775\pi\) |
0.0446739 | + | 0.999002i | \(0.485775\pi\) | |||||||
\(920\) | 0.00401747 | + | 0.0152963i | 0.000132452 | + | 0.000504304i | ||||
\(921\) | 1.38718 | − | 3.15514i | 0.0457093 | − | 0.103965i | ||||
\(922\) | −12.4883 | − | 39.8372i | −0.411280 | − | 1.31197i | ||||
\(923\) | 33.8251 | + | 11.4821i | 1.11337 | + | 0.377938i | ||||
\(924\) | −1.64314 | − | 2.47523i | −0.0540552 | − | 0.0814289i | ||||
\(925\) | 9.50756 | − | 19.2794i | 0.312607 | − | 0.633904i | ||||
\(926\) | 11.6295 | + | 47.8682i | 0.382169 | + | 1.57305i | ||||
\(927\) | −15.0113 | + | 23.5937i | −0.493037 | + | 0.774920i | ||||
\(928\) | 25.1115 | − | 38.7077i | 0.824326 | − | 1.27064i | ||||
\(929\) | −1.80932 | + | 1.04461i | −0.0593618 | + | 0.0342726i | −0.529387 | − | 0.848380i | \(-0.677578\pi\) |
0.470025 | + | 0.882653i | \(0.344245\pi\) | |||||||
\(930\) | −0.00750519 | − | 0.0144652i | −0.000246105 | − | 0.000474334i | ||||
\(931\) | −23.5153 | + | 1.54128i | −0.770683 | + | 0.0505133i | ||||
\(932\) | −5.14062 | − | 2.41782i | −0.168387 | − | 0.0791984i | ||||
\(933\) | −0.806112 | + | 0.376185i | −0.0263909 | + | 0.0123158i | ||||
\(934\) | −6.68996 | + | 29.9423i | −0.218902 | + | 0.979741i | ||||
\(935\) | −0.00389977 | + | 0.00161534i | −0.000127536 | + | 5.28272e-5i | ||||
\(936\) | −38.0021 | + | 13.6440i | −1.24214 | + | 0.445967i | ||||
\(937\) | 27.2485 | + | 11.2867i | 0.890169 | + | 0.368720i | 0.780432 | − | 0.625241i | \(-0.214999\pi\) |
0.109737 | + | 0.993961i | \(0.464999\pi\) | |||||||
\(938\) | 11.9575 | + | 8.40218i | 0.390425 | + | 0.274341i | ||||
\(939\) | 8.87279 | + | 10.5679i | 0.289553 | + | 0.344869i | ||||
\(940\) | 0.0161890 | + | 0.0119527i | 0.000528025 | + | 0.000389854i | ||||
\(941\) | −16.3016 | − | 14.2961i | −0.531417 | − | 0.466040i | 0.351088 | − | 0.936342i | \(-0.385812\pi\) |
−0.882506 | + | 0.470302i | \(0.844145\pi\) | |||||||
\(942\) | 2.11630 | − | 11.9076i | 0.0689527 | − | 0.387969i | ||||
\(943\) | 6.95644 | − | 25.9618i | 0.226533 | − | 0.845432i | ||||
\(944\) | −14.9064 | + | 33.2790i | −0.485163 | + | 1.08314i | ||||
\(945\) | 0.0138787 | 0.000897343i | 0.000451473 | 2.91906e-5i | ||||||
\(946\) | 0.903041 | − | 5.80336i | 0.0293604 | − | 0.188683i | ||||
\(947\) | 5.08808 | + | 14.9890i | 0.165340 | + | 0.487077i | 0.997747 | − | 0.0670882i | \(-0.0213709\pi\) |
−0.832407 | + | 0.554165i | \(0.813038\pi\) | |||||||
\(948\) | −0.847054 | + | 1.45699i | −0.0275110 | + | 0.0473210i | ||||
\(949\) | −27.0519 | − | 54.8559i | −0.878143 | − | 1.78070i | ||||
\(950\) | 34.7848 | − | 29.0901i | 1.12857 | − | 0.943809i | ||||
\(951\) | 21.7692 | − | 27.1402i | 0.705913 | − | 0.880081i | ||||
\(952\) | 31.4792 | − | 1.90660i | 1.02025 | − | 0.0617931i | ||||
\(953\) | −7.38171 | − | 17.8210i | −0.239117 | − | 0.577280i | 0.758075 | − | 0.652168i | \(-0.226140\pi\) |
−0.997192 | + | 0.0748878i | \(0.976140\pi\) | |||||||
\(954\) | −30.8710 | + | 17.7797i | −0.999487 | + | 0.575638i | ||||
\(955\) | −0.0212801 | + | 0.00423287i | −0.000688607 | + | 0.000136973i | ||||
\(956\) | −11.1423 | + | 2.43159i | −0.360369 | + | 0.0786433i | ||||
\(957\) | 4.90011 | + | 4.48747i | 0.158398 | + | 0.145059i | ||||
\(958\) | 24.9043 | − | 13.6095i | 0.804622 | − | 0.439703i | ||||
\(959\) | 12.1413 | − | 21.0294i | 0.392064 | − | 0.679074i | ||||
\(960\) | −0.0157383 | − | 0.0128821i | −0.000507950 | − | 0.000415770i | ||||
\(961\) | −5.22751 | − | 9.05432i | −0.168629 | − | 0.292075i | ||||
\(962\) | −24.7095 | − | 15.0500i | −0.796666 | − | 0.485232i | ||||
\(963\) | −1.80003 | − | 2.96242i | −0.0580052 | − | 0.0954628i | ||||
\(964\) | 12.2882 | + | 3.91913i | 0.395775 | + | 0.126227i | ||||
\(965\) | −0.0226496 | − | 0.0258269i | −0.000729117 | − | 0.000831398i | ||||
\(966\) | 16.5226 | + | 4.06683i | 0.531605 | + | 0.130848i | ||||
\(967\) | −11.5260 | − | 1.51743i | −0.370652 | − | 0.0487973i | −0.0571004 | − | 0.998368i | \(-0.518186\pi\) |
−0.313552 | + | 0.949571i | \(0.601519\pi\) | |||||||
\(968\) | 29.8714 | + | 6.09587i | 0.960103 | + | 0.195929i | ||||
\(969\) | 24.6342 | + | 63.2914i | 0.791363 | + | 2.03321i | ||||
\(970\) | 0.000690537 | 0.00395443i | 2.21718e−5 | 0.000126969i | ||||||
\(971\) | 18.4926 | − | 27.6762i | 0.593457 | − | 0.888171i | −0.406215 | − | 0.913777i | \(-0.633152\pi\) |
0.999672 | + | 0.0256065i | \(0.00815170\pi\) | |||||||
\(972\) | −28.2800 | + | 13.1241i | −0.907081 | + | 0.420957i | ||||
\(973\) | 18.1312 | + | 3.60653i | 0.581261 | + | 0.115620i | ||||
\(974\) | 11.2765 | − | 4.36376i | 0.361323 | − | 0.139824i | ||||
\(975\) | 0.886854 | − | 41.2003i | 0.0284020 | − | 1.31946i | ||||
\(976\) | −35.5754 | − | 21.9107i | −1.13874 | − | 0.701344i | ||||
\(977\) | 7.21944 | − | 1.93444i | 0.230970 | − | 0.0618883i | −0.141477 | − | 0.989941i | \(-0.545185\pi\) |
0.372448 | + | 0.928053i | \(0.378519\pi\) | |||||||
\(978\) | −1.76005 | + | 0.637901i | −0.0562802 | + | 0.0203978i | ||||
\(979\) | −1.69181 | + | 0.574292i | −0.0540704 | + | 0.0183544i | ||||
\(980\) | −0.0107195 | − | 0.00120984i | −0.000342422 | − | 3.86469e-5i | ||||
\(981\) | 29.1951 | − | 39.8663i | 0.932128 | − | 1.27283i | ||||
\(982\) | −0.904851 | + | 0.420120i | −0.0288750 | + | 0.0134066i | ||||
\(983\) | 2.27871 | + | 17.3086i | 0.0726797 | + | 0.552057i | 0.988585 | + | 0.150663i | \(0.0481409\pi\) |
−0.915905 | + | 0.401394i | \(0.868526\pi\) | |||||||
\(984\) | 12.3772 | + | 32.2726i | 0.394571 | + | 1.02881i | ||||
\(985\) | −0.00331030 | + | 0.0251442i | −0.000105475 | + | 0.000801162i | ||||
\(986\) | −67.3015 | + | 21.0979i | −2.14332 | + | 0.671893i | ||||
\(987\) | 19.6198 | − | 9.15591i | 0.624506 | − | 0.291436i | ||||
\(988\) | −34.8405 | − | 50.1091i | −1.10842 | − | 1.59418i | ||||
\(989\) | 18.6881 | + | 27.9687i | 0.594247 | + | 0.889354i | ||||
\(990\) | 0.00220407 | − | 0.00192877i | 7.00499e−5 | − | 6.13005e-5i | ||||
\(991\) | 38.9185i | 1.23629i | 0.786065 | + | 0.618144i | \(0.212115\pi\) | ||||
−0.786065 | + | 0.618144i | \(0.787885\pi\) | |||||||
\(992\) | 20.5517 | + | 15.3318i | 0.652518 | + | 0.486786i | ||||
\(993\) | −11.3565 | + | 39.0051i | −0.360387 | + | 1.23779i | ||||
\(994\) | 18.5764 | + | 5.44783i | 0.589206 | + | 0.172795i | ||||
\(995\) | 0.00445280 | 0.000291852i | 0.000141163 | 9.25233e-6i | ||||||
\(996\) | 2.94865 | + | 47.1626i | 0.0934316 | + | 1.49440i | ||||
\(997\) | −36.7560 | + | 32.2342i | −1.16407 | + | 1.02087i | −0.164671 | + | 0.986349i | \(0.552656\pi\) |
−0.999404 | + | 0.0345174i | \(0.989011\pi\) | |||||||
\(998\) | −40.1820 | + | 43.7057i | −1.27194 | + | 1.38348i | ||||
\(999\) | −20.0445 | − | 9.86285i | −0.634180 | − | 0.312047i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bm.a.13.1 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.64 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.64 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.1 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.1 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.1 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.64 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.64 | yes | 1504 | 64.5 | even | 16 | inner |