Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(25,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 277.46 | ||
Character | \(\chi\) | \(=\) | 441.277 |
Dual form | 441.2.y.a.121.46 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87576 | + | 0.903317i | 1.32636 | + | 0.638742i | 0.956876 | − | 0.290495i | \(-0.0938201\pi\) |
0.369484 | + | 0.929237i | \(0.379534\pi\) | |||||||
\(3\) | −1.02234 | − | 1.39815i | −0.590251 | − | 0.807220i | ||||
\(4\) | 1.45550 | + | 1.82514i | 0.727752 | + | 0.912572i | ||||
\(5\) | 3.54626 | + | 1.09388i | 1.58594 | + | 0.489197i | 0.957444 | − | 0.288619i | \(-0.0931962\pi\) |
0.628492 | + | 0.777816i | \(0.283672\pi\) | |||||||
\(6\) | −0.654701 | − | 3.54608i | −0.267281 | − | 1.44768i | ||||
\(7\) | −0.389198 | + | 2.61697i | −0.147103 | + | 0.989121i | ||||
\(8\) | 0.154941 | + | 0.678840i | 0.0547799 | + | 0.240006i | ||||
\(9\) | −0.909624 | + | 2.85877i | −0.303208 | + | 0.952924i | ||||
\(10\) | 5.66381 | + | 5.25525i | 1.79105 | + | 1.66185i | ||||
\(11\) | 0.165900 | + | 2.21379i | 0.0500208 | + | 0.667482i | 0.964709 | + | 0.263320i | \(0.0848175\pi\) |
−0.914688 | + | 0.404161i | \(0.867563\pi\) | |||||||
\(12\) | 1.06379 | − | 3.90093i | 0.307090 | − | 1.12610i | ||||
\(13\) | −0.363777 | − | 4.85427i | −0.100894 | − | 1.34633i | −0.786153 | − | 0.618032i | \(-0.787930\pi\) |
0.685259 | − | 0.728299i | \(-0.259689\pi\) | |||||||
\(14\) | −3.09399 | + | 4.55723i | −0.826905 | + | 1.21797i | ||||
\(15\) | −2.09610 | − | 6.07651i | −0.541211 | − | 1.56895i | ||||
\(16\) | 0.716350 | − | 3.13854i | 0.179088 | − | 0.784634i | ||||
\(17\) | −1.40024 | − | 3.56776i | −0.339609 | − | 0.865310i | −0.994023 | − | 0.109173i | \(-0.965180\pi\) |
0.654414 | − | 0.756137i | \(-0.272916\pi\) | |||||||
\(18\) | −4.28861 | + | 4.54069i | −1.01084 | + | 1.07025i | ||||
\(19\) | 3.03118 | + | 5.25016i | 0.695400 | + | 1.20447i | 0.970046 | + | 0.242923i | \(0.0781063\pi\) |
−0.274645 | + | 0.961546i | \(0.588560\pi\) | |||||||
\(20\) | 3.16512 | + | 8.06458i | 0.707741 | + | 1.80330i | ||||
\(21\) | 4.05680 | − | 2.13129i | 0.885266 | − | 0.465085i | ||||
\(22\) | −1.68856 | + | 4.30239i | −0.360003 | + | 0.917272i | ||||
\(23\) | −4.24838 | + | 0.640340i | −0.885849 | + | 0.133520i | −0.576179 | − | 0.817324i | \(-0.695457\pi\) |
−0.309670 | + | 0.950844i | \(0.600219\pi\) | |||||||
\(24\) | 0.790715 | − | 0.910638i | 0.161404 | − | 0.185883i | ||||
\(25\) | 7.24821 | + | 4.94175i | 1.44964 | + | 0.988349i | ||||
\(26\) | 3.70258 | − | 9.43403i | 0.726137 | − | 1.85017i | ||||
\(27\) | 4.92693 | − | 1.65086i | 0.948188 | − | 0.317709i | ||||
\(28\) | −5.34283 | + | 3.09867i | −1.00970 | + | 0.585593i | ||||
\(29\) | −0.721699 | − | 1.83886i | −0.134016 | − | 0.341468i | 0.848074 | − | 0.529877i | \(-0.177762\pi\) |
−0.982091 | + | 0.188410i | \(0.939667\pi\) | |||||||
\(30\) | 1.55724 | − | 13.2915i | 0.284311 | − | 2.42669i | ||||
\(31\) | 4.12498 | 0.740869 | 0.370434 | − | 0.928859i | \(-0.379209\pi\) | ||||
0.370434 | + | 0.928859i | \(0.379209\pi\) | |||||||
\(32\) | 5.04706 | − | 6.32882i | 0.892203 | − | 1.11879i | ||||
\(33\) | 2.92559 | − | 2.49520i | 0.509280 | − | 0.434359i | ||||
\(34\) | 0.596304 | − | 7.95713i | 0.102265 | − | 1.36464i | ||||
\(35\) | −4.24284 | + | 8.85472i | −0.717171 | + | 1.49672i | ||||
\(36\) | −6.54164 | + | 2.50076i | −1.09027 | + | 0.416794i | ||||
\(37\) | −3.95404 | − | 0.595975i | −0.650040 | − | 0.0979777i | −0.184259 | − | 0.982878i | \(-0.558988\pi\) |
−0.465781 | + | 0.884900i | \(0.654227\pi\) | |||||||
\(38\) | 0.943201 | + | 12.5861i | 0.153007 | + | 2.04174i | ||||
\(39\) | −6.41507 | + | 5.47134i | −1.02723 | + | 0.876116i | ||||
\(40\) | −0.193107 | + | 2.57683i | −0.0305329 | + | 0.407433i | ||||
\(41\) | −0.404886 | + | 0.375679i | −0.0632325 | + | 0.0586712i | −0.711156 | − | 0.703034i | \(-0.751828\pi\) |
0.647924 | + | 0.761705i | \(0.275638\pi\) | |||||||
\(42\) | 9.53480 | − | 0.333202i | 1.47125 | − | 0.0514142i | ||||
\(43\) | −9.53448 | − | 8.84671i | −1.45399 | − | 1.34911i | −0.814236 | − | 0.580534i | \(-0.802844\pi\) |
−0.639759 | − | 0.768575i | \(-0.720966\pi\) | |||||||
\(44\) | −3.79901 | + | 3.52497i | −0.572722 | + | 0.531409i | ||||
\(45\) | −6.35291 | + | 9.14294i | −0.947036 | + | 1.36295i | ||||
\(46\) | −8.54736 | − | 2.63651i | −1.26024 | − | 0.388733i | ||||
\(47\) | −0.548744 | − | 0.264261i | −0.0800425 | − | 0.0385465i | 0.393434 | − | 0.919353i | \(-0.371287\pi\) |
−0.473477 | + | 0.880806i | \(0.657001\pi\) | |||||||
\(48\) | −5.12049 | + | 2.20710i | −0.739079 | + | 0.318568i | ||||
\(49\) | −6.69705 | − | 2.03704i | −0.956721 | − | 0.291006i | ||||
\(50\) | 9.13192 | + | 15.8169i | 1.29145 | + | 2.23685i | ||||
\(51\) | −3.55672 | + | 5.60523i | −0.498041 | + | 0.784889i | ||||
\(52\) | 8.33026 | − | 7.72935i | 1.15520 | − | 1.07187i | ||||
\(53\) | −8.57683 | + | 1.29275i | −1.17812 | + | 0.177573i | −0.708769 | − | 0.705440i | \(-0.750749\pi\) |
−0.469348 | + | 0.883013i | \(0.655511\pi\) | |||||||
\(54\) | 10.7330 | + | 1.35396i | 1.46057 | + | 0.184251i | ||||
\(55\) | −1.83328 | + | 8.03214i | −0.247200 | + | 1.08305i | ||||
\(56\) | −1.83681 | + | 0.141272i | −0.245454 | + | 0.0188783i | ||||
\(57\) | 4.24158 | − | 9.60550i | 0.561811 | − | 1.27228i | ||||
\(58\) | 0.307341 | − | 4.10118i | 0.0403558 | − | 0.538511i | ||||
\(59\) | 1.93803 | − | 8.49108i | 0.252310 | − | 1.10544i | −0.676953 | − | 0.736026i | \(-0.736700\pi\) |
0.929263 | − | 0.369418i | \(-0.120443\pi\) | |||||||
\(60\) | 8.03962 | − | 12.6701i | 1.03791 | − | 1.63570i | ||||
\(61\) | 0.249787 | − | 0.313223i | 0.0319820 | − | 0.0401041i | −0.765583 | − | 0.643337i | \(-0.777550\pi\) |
0.797565 | + | 0.603233i | \(0.206121\pi\) | |||||||
\(62\) | 7.73747 | + | 3.72617i | 0.982659 | + | 0.473224i | ||||
\(63\) | −7.12730 | − | 3.49309i | −0.897955 | − | 0.440088i | ||||
\(64\) | 9.38310 | − | 4.51867i | 1.17289 | − | 0.564833i | ||||
\(65\) | 4.01992 | − | 17.6124i | 0.498610 | − | 2.18455i | ||||
\(66\) | 7.74165 | − | 2.03766i | 0.952932 | − | 0.250819i | ||||
\(67\) | −12.0016 | −1.46623 | −0.733115 | − | 0.680105i | \(-0.761934\pi\) | ||||
−0.733115 | + | 0.680105i | \(0.761934\pi\) | |||||||
\(68\) | 4.47362 | − | 7.74855i | 0.542507 | − | 0.939649i | ||||
\(69\) | 5.23860 | + | 5.28521i | 0.630653 | + | 0.636264i | ||||
\(70\) | −15.9572 | + | 12.7767i | −1.90725 | + | 1.52710i | ||||
\(71\) | 10.0694 | + | 12.6266i | 1.19501 | + | 1.49850i | 0.820858 | + | 0.571132i | \(0.193496\pi\) |
0.374154 | + | 0.927366i | \(0.377933\pi\) | |||||||
\(72\) | −2.08159 | − | 0.174548i | −0.245317 | − | 0.0205707i | ||||
\(73\) | 0.134019 | − | 1.78836i | 0.0156858 | − | 0.209312i | −0.983854 | − | 0.178973i | \(-0.942722\pi\) |
0.999540 | − | 0.0303385i | \(-0.00965854\pi\) | |||||||
\(74\) | −6.87846 | − | 4.68966i | −0.799605 | − | 0.545161i | ||||
\(75\) | −0.500885 | − | 15.1862i | −0.0578373 | − | 1.75355i | ||||
\(76\) | −5.17040 | + | 13.1740i | −0.593086 | + | 1.51116i | ||||
\(77\) | −5.85798 | − | 0.427446i | −0.667578 | − | 0.0487120i | ||||
\(78\) | −16.9755 | + | 4.46808i | −1.92209 | + | 0.505910i | ||||
\(79\) | −2.02728 | −0.228087 | −0.114044 | − | 0.993476i | \(-0.536380\pi\) | ||||
−0.114044 | + | 0.993476i | \(0.536380\pi\) | |||||||
\(80\) | 5.97354 | − | 10.3465i | 0.667862 | − | 1.15677i | ||||
\(81\) | −7.34517 | − | 5.20082i | −0.816130 | − | 0.577868i | ||||
\(82\) | −1.09882 | + | 0.338942i | −0.121345 | + | 0.0374299i | ||||
\(83\) | −0.862033 | + | 11.5030i | −0.0946204 | + | 1.26262i | 0.724611 | + | 0.689158i | \(0.242020\pi\) |
−0.819231 | + | 0.573463i | \(0.805599\pi\) | |||||||
\(84\) | 9.79460 | + | 4.30215i | 1.06868 | + | 0.469403i | ||||
\(85\) | −1.06294 | − | 14.1839i | −0.115292 | − | 1.53846i | ||||
\(86\) | −9.89299 | − | 25.2069i | −1.06679 | − | 2.71813i | ||||
\(87\) | −1.83317 | + | 2.88899i | −0.196536 | + | 0.309732i | ||||
\(88\) | −1.47710 | + | 0.455626i | −0.157460 | + | 0.0485698i | ||||
\(89\) | −0.636347 | − | 0.433854i | −0.0674527 | − | 0.0459884i | 0.529124 | − | 0.848544i | \(-0.322521\pi\) |
−0.596577 | + | 0.802556i | \(0.703473\pi\) | |||||||
\(90\) | −20.1755 | + | 11.4112i | −2.12668 | + | 1.20285i | ||||
\(91\) | 12.8450 | + | 0.937279i | 1.34653 | + | 0.0982535i | ||||
\(92\) | −7.35225 | − | 6.82189i | −0.766525 | − | 0.711231i | ||||
\(93\) | −4.21715 | − | 5.76733i | −0.437298 | − | 0.598044i | ||||
\(94\) | −0.790599 | − | 0.991380i | −0.0815441 | − | 0.102253i | ||||
\(95\) | 5.00633 | + | 21.9342i | 0.513639 | + | 2.25040i | ||||
\(96\) | −14.0084 | − | 0.586300i | −1.42973 | − | 0.0598390i | ||||
\(97\) | −0.988406 | + | 1.71197i | −0.100357 | + | 0.173824i | −0.911832 | − | 0.410564i | \(-0.865332\pi\) |
0.811474 | + | 0.584388i | \(0.198665\pi\) | |||||||
\(98\) | −10.7219 | − | 9.87055i | −1.08308 | − | 0.997076i | ||||
\(99\) | −6.47962 | − | 1.53944i | −0.651226 | − | 0.154720i | ||||
\(100\) | 1.53040 | + | 20.4218i | 0.153040 | + | 2.04218i | ||||
\(101\) | 3.34636 | − | 3.10497i | 0.332975 | − | 0.308956i | −0.495911 | − | 0.868373i | \(-0.665166\pi\) |
0.828886 | + | 0.559418i | \(0.188975\pi\) | |||||||
\(102\) | −11.7349 | + | 7.30120i | −1.16192 | + | 0.722927i | ||||
\(103\) | −5.92363 | − | 1.82720i | −0.583673 | − | 0.180039i | −0.0111637 | − | 0.999938i | \(-0.503554\pi\) |
−0.572509 | + | 0.819899i | \(0.694030\pi\) | |||||||
\(104\) | 3.23891 | − | 0.999070i | 0.317601 | − | 0.0979669i | ||||
\(105\) | 16.7178 | − | 3.12046i | 1.63149 | − | 0.304526i | ||||
\(106\) | −17.2558 | − | 5.32271i | −1.67603 | − | 0.516987i | ||||
\(107\) | 8.76565 | + | 5.97632i | 0.847408 | + | 0.577753i | 0.907315 | − | 0.420451i | \(-0.138128\pi\) |
−0.0599076 | + | 0.998204i | \(0.519081\pi\) | |||||||
\(108\) | 10.1842 | + | 6.58952i | 0.979978 | + | 0.634077i | ||||
\(109\) | 3.43567 | − | 2.34240i | 0.329077 | − | 0.224361i | −0.387498 | − | 0.921870i | \(-0.626661\pi\) |
0.716576 | + | 0.697509i | \(0.245708\pi\) | |||||||
\(110\) | −10.6944 | + | 13.4103i | −1.01967 | + | 1.27862i | ||||
\(111\) | 3.20913 | + | 6.13761i | 0.304597 | + | 0.582556i | ||||
\(112\) | 7.93465 | + | 3.09618i | 0.749754 | + | 0.292561i | ||||
\(113\) | 5.71476 | + | 3.89626i | 0.537599 | + | 0.366529i | 0.801476 | − | 0.598028i | \(-0.204049\pi\) |
−0.263876 | + | 0.964557i | \(0.585001\pi\) | |||||||
\(114\) | 16.6330 | − | 14.1861i | 1.55782 | − | 1.32865i | ||||
\(115\) | −15.7663 | − | 2.37639i | −1.47022 | − | 0.221600i | ||||
\(116\) | 2.30575 | − | 3.99367i | 0.214083 | − | 0.370803i | ||||
\(117\) | 14.2081 | + | 3.37560i | 1.31354 | + | 0.312074i | ||||
\(118\) | 11.3054 | − | 14.1765i | 1.04075 | − | 1.30506i | ||||
\(119\) | 9.88170 | − | 2.27583i | 0.905854 | − | 0.208625i | ||||
\(120\) | 3.80021 | − | 2.36442i | 0.346910 | − | 0.215841i | ||||
\(121\) | 6.00381 | − | 0.904929i | 0.545801 | − | 0.0822663i | ||||
\(122\) | 0.751480 | − | 0.361894i | 0.0680358 | − | 0.0327643i | ||||
\(123\) | 0.939187 | + | 0.182016i | 0.0846836 | + | 0.0164118i | ||||
\(124\) | 6.00393 | + | 7.52869i | 0.539169 | + | 0.676096i | ||||
\(125\) | 8.72910 | + | 10.9460i | 0.780755 | + | 0.979036i | ||||
\(126\) | −10.2137 | − | 12.9904i | −0.909910 | − | 1.15728i | ||||
\(127\) | −7.98294 | + | 10.0103i | −0.708371 | + | 0.888270i | −0.997618 | − | 0.0689850i | \(-0.978024\pi\) |
0.289246 | + | 0.957255i | \(0.406595\pi\) | |||||||
\(128\) | 5.49250 | 0.485473 | ||||||||
\(129\) | −2.62146 | + | 22.3750i | −0.230807 | + | 1.97001i | ||||
\(130\) | 23.4500 | − | 29.4054i | 2.05670 | − | 2.57902i | ||||
\(131\) | −8.58574 | − | 7.96640i | −0.750139 | − | 0.696028i | 0.209329 | − | 0.977845i | \(-0.432872\pi\) |
−0.959468 | + | 0.281818i | \(0.909063\pi\) | |||||||
\(132\) | 8.81231 | + | 1.70784i | 0.767014 | + | 0.148648i | ||||
\(133\) | −14.9192 | + | 5.88915i | −1.29366 | + | 0.510654i | ||||
\(134\) | −22.5121 | − | 10.8413i | −1.94475 | − | 0.936542i | ||||
\(135\) | 19.2780 | − | 0.464941i | 1.65919 | − | 0.0400157i | ||||
\(136\) | 2.20499 | − | 1.50333i | 0.189076 | − | 0.128910i | ||||
\(137\) | 19.4716 | − | 6.00621i | 1.66358 | − | 0.513145i | 0.686697 | − | 0.726943i | \(-0.259060\pi\) |
0.976878 | + | 0.213798i | \(0.0685836\pi\) | |||||||
\(138\) | 5.05212 | + | 14.6459i | 0.430065 | + | 1.24674i | ||||
\(139\) | 6.02663 | − | 5.59189i | 0.511172 | − | 0.474298i | −0.381906 | − | 0.924201i | \(-0.624732\pi\) |
0.893077 | + | 0.449903i | \(0.148542\pi\) | |||||||
\(140\) | −22.3366 | + | 5.14429i | −1.88779 | + | 0.434772i | ||||
\(141\) | 0.191530 | + | 1.03739i | 0.0161297 | + | 0.0873640i | ||||
\(142\) | 7.48187 | + | 32.7802i | 0.627864 | + | 2.75085i | ||||
\(143\) | 10.6860 | − | 1.61065i | 0.893604 | − | 0.134689i | ||||
\(144\) | 8.32075 | + | 4.90277i | 0.693396 | + | 0.408564i | ||||
\(145\) | −0.547848 | − | 7.31053i | −0.0454963 | − | 0.607106i | ||||
\(146\) | 1.86684 | − | 3.23347i | 0.154501 | − | 0.267604i | ||||
\(147\) | 3.99861 | + | 11.4460i | 0.329800 | + | 0.944051i | ||||
\(148\) | −4.66738 | − | 8.08414i | −0.383656 | − | 0.664512i | ||||
\(149\) | 1.79462 | − | 1.22355i | 0.147021 | − | 0.100237i | −0.487576 | − | 0.873081i | \(-0.662119\pi\) |
0.634597 | + | 0.772844i | \(0.281166\pi\) | |||||||
\(150\) | 12.7784 | − | 28.9381i | 1.04335 | − | 2.36279i | ||||
\(151\) | −5.44130 | + | 13.8642i | −0.442807 | + | 1.12825i | 0.519061 | + | 0.854737i | \(0.326282\pi\) |
−0.961867 | + | 0.273516i | \(0.911813\pi\) | |||||||
\(152\) | −3.09436 | + | 2.87115i | −0.250986 | + | 0.232881i | ||||
\(153\) | 11.4731 | − | 0.757658i | 0.927547 | − | 0.0612530i | ||||
\(154\) | −10.6020 | − | 6.09339i | −0.854335 | − | 0.491020i | ||||
\(155\) | 14.6283 | + | 4.51222i | 1.17497 | + | 0.362430i | ||||
\(156\) | −19.3232 | − | 3.74486i | −1.54709 | − | 0.299829i | ||||
\(157\) | 3.24393 | − | 14.2126i | 0.258894 | − | 1.13429i | −0.663543 | − | 0.748138i | \(-0.730948\pi\) |
0.922436 | − | 0.386149i | \(-0.126195\pi\) | |||||||
\(158\) | −3.80269 | − | 1.83128i | −0.302526 | − | 0.145689i | ||||
\(159\) | 10.5759 | + | 10.6700i | 0.838725 | + | 0.846188i | ||||
\(160\) | 24.8211 | − | 16.9228i | 1.96228 | − | 1.33786i | ||||
\(161\) | −0.0222883 | − | 11.3671i | −0.00175656 | − | 0.895853i | ||||
\(162\) | −9.07977 | − | 16.3905i | −0.713374 | − | 1.28776i | ||||
\(163\) | −5.17145 | + | 1.59518i | −0.405059 | + | 0.124944i | −0.490588 | − | 0.871391i | \(-0.663218\pi\) |
0.0855291 | + | 0.996336i | \(0.472742\pi\) | |||||||
\(164\) | −1.27498 | − | 0.192172i | −0.0995593 | − | 0.0150062i | ||||
\(165\) | 13.1043 | − | 5.64841i | 1.02017 | − | 0.439728i | ||||
\(166\) | −12.0078 | + | 20.7982i | −0.931990 | + | 1.61425i | ||||
\(167\) | 3.08638 | + | 0.465197i | 0.238832 | + | 0.0359981i | 0.267367 | − | 0.963595i | \(-0.413846\pi\) |
−0.0285357 | + | 0.999593i | \(0.509084\pi\) | |||||||
\(168\) | 2.07537 | + | 2.42369i | 0.160118 | + | 0.186992i | ||||
\(169\) | −10.5768 | + | 1.59419i | −0.813597 | + | 0.122630i | ||||
\(170\) | 10.8188 | − | 27.5658i | 0.829761 | − | 2.11420i | ||||
\(171\) | −17.7662 | + | 3.88979i | −1.35862 | + | 0.297460i | ||||
\(172\) | 2.26904 | − | 30.2782i | 0.173013 | − | 2.30869i | ||||
\(173\) | 3.21158 | + | 4.02719i | 0.244172 | + | 0.306181i | 0.888782 | − | 0.458329i | \(-0.151552\pi\) |
−0.644611 | + | 0.764511i | \(0.722981\pi\) | |||||||
\(174\) | −6.04825 | + | 3.76311i | −0.458517 | + | 0.285281i | ||||
\(175\) | −15.7534 | + | 17.0450i | −1.19084 | + | 1.28848i | ||||
\(176\) | 7.06689 | + | 1.06516i | 0.532687 | + | 0.0802896i | ||||
\(177\) | −13.8531 | + | 5.97115i | −1.04126 | + | 0.448819i | ||||
\(178\) | −0.801725 | − | 1.38863i | −0.0600918 | − | 0.104082i | ||||
\(179\) | 5.47292 | + | 13.9448i | 0.409065 | + | 1.04228i | 0.975855 | + | 0.218418i | \(0.0700898\pi\) |
−0.566790 | + | 0.823862i | \(0.691815\pi\) | |||||||
\(180\) | −25.9339 | + | 1.71261i | −1.93300 | + | 0.127651i | ||||
\(181\) | 18.0341 | − | 8.68477i | 1.34047 | − | 0.645534i | 0.380273 | − | 0.924874i | \(-0.375830\pi\) |
0.960192 | + | 0.279340i | \(0.0901157\pi\) | |||||||
\(182\) | 23.2475 | + | 13.3613i | 1.72322 | + | 0.990402i | ||||
\(183\) | −0.693300 | − | 0.0290169i | −0.0512502 | − | 0.00214499i | ||||
\(184\) | −1.09294 | − | 2.78476i | −0.0805723 | − | 0.205295i | ||||
\(185\) | −13.3701 | − | 6.43871i | −0.982991 | − | 0.473384i | ||||
\(186\) | −2.70063 | − | 14.6275i | −0.198020 | − | 1.07254i | ||||
\(187\) | 7.66597 | − | 3.69173i | 0.560591 | − | 0.269966i | ||||
\(188\) | −0.316384 | − | 1.38617i | −0.0230747 | − | 0.101097i | ||||
\(189\) | 2.40271 | + | 13.5361i | 0.174771 | + | 0.984609i | ||||
\(190\) | −10.4228 | + | 45.6655i | −0.756153 | + | 3.31292i | ||||
\(191\) | 4.43599 | + | 19.4354i | 0.320977 | + | 1.40629i | 0.835818 | + | 0.549007i | \(0.184994\pi\) |
−0.514840 | + | 0.857286i | \(0.672149\pi\) | |||||||
\(192\) | −15.9105 | − | 8.49932i | −1.14824 | − | 0.613385i | ||||
\(193\) | 2.13500 | + | 9.35403i | 0.153680 | + | 0.673318i | 0.991797 | + | 0.127826i | \(0.0407999\pi\) |
−0.838116 | + | 0.545492i | \(0.816343\pi\) | |||||||
\(194\) | −3.40046 | + | 2.31840i | −0.244139 | + | 0.166451i | ||||
\(195\) | −28.7345 | + | 12.3855i | −2.05772 | + | 0.886946i | ||||
\(196\) | −6.02969 | − | 15.1880i | −0.430692 | − | 1.08486i | ||||
\(197\) | 0.343001 | 0.0244378 | 0.0122189 | − | 0.999925i | \(-0.496111\pi\) | ||||
0.0122189 | + | 0.999925i | \(0.496111\pi\) | |||||||
\(198\) | −10.7636 | − | 8.74077i | −0.764935 | − | 0.621179i | ||||
\(199\) | 0.487732 | + | 0.150445i | 0.0345744 | + | 0.0106648i | 0.311994 | − | 0.950084i | \(-0.399003\pi\) |
−0.277420 | + | 0.960749i | \(0.589479\pi\) | |||||||
\(200\) | −2.23161 | + | 5.68605i | −0.157799 | + | 0.402065i | ||||
\(201\) | 12.2698 | + | 16.7800i | 0.865443 | + | 1.18357i | ||||
\(202\) | 9.08172 | − | 2.80134i | 0.638988 | − | 0.197102i | ||||
\(203\) | 5.09312 | − | 1.17298i | 0.357467 | − | 0.0823273i | ||||
\(204\) | −15.4072 | + | 1.66690i | −1.07872 | + | 0.116706i | ||||
\(205\) | −1.84678 | + | 0.889361i | −0.128984 | + | 0.0621157i | ||||
\(206\) | −9.46075 | − | 8.77830i | −0.659162 | − | 0.611613i | ||||
\(207\) | 2.03384 | − | 12.7276i | 0.141362 | − | 0.884631i | ||||
\(208\) | −15.4959 | − | 2.33563i | −1.07445 | − | 0.161947i | ||||
\(209\) | −11.1199 | + | 7.58139i | −0.769176 | + | 0.524415i | ||||
\(210\) | 34.1774 | + | 9.24827i | 2.35846 | + | 0.638191i | ||||
\(211\) | −17.3903 | − | 11.8565i | −1.19720 | − | 0.816238i | −0.210311 | − | 0.977634i | \(-0.567448\pi\) |
−0.986890 | + | 0.161397i | \(0.948400\pi\) | |||||||
\(212\) | −14.8431 | − | 13.7723i | −1.01943 | − | 0.945889i | ||||
\(213\) | 7.35944 | − | 26.9871i | 0.504261 | − | 1.84913i | ||||
\(214\) | 11.0437 | + | 19.1283i | 0.754933 | + | 1.30758i | ||||
\(215\) | −24.1346 | − | 41.8023i | −1.64596 | − | 2.85089i | ||||
\(216\) | 1.88406 | + | 3.08881i | 0.128194 | + | 0.210167i | ||||
\(217\) | −1.60544 | + | 10.7950i | −0.108984 | + | 0.732809i | ||||
\(218\) | 8.56041 | − | 1.29027i | 0.579784 | − | 0.0873884i | ||||
\(219\) | −2.63740 | + | 1.64094i | −0.178219 | + | 0.110885i | ||||
\(220\) | −17.3282 | + | 8.34480i | −1.16826 | + | 0.562607i | ||||
\(221\) | −16.8095 | + | 8.09503i | −1.13073 | + | 0.544531i | ||||
\(222\) | 0.475334 | + | 14.4115i | 0.0319023 | + | 0.967239i | ||||
\(223\) | 1.77538 | − | 0.267595i | 0.118888 | − | 0.0179195i | −0.0893287 | − | 0.996002i | \(-0.528472\pi\) |
0.208217 | + | 0.978083i | \(0.433234\pi\) | |||||||
\(224\) | 14.5980 | + | 15.6712i | 0.975370 | + | 1.04707i | ||||
\(225\) | −20.7205 | + | 16.2259i | −1.38136 | + | 1.08172i | ||||
\(226\) | 7.19994 | + | 12.4707i | 0.478933 | + | 0.829537i | ||||
\(227\) | −0.620761 | − | 1.07519i | −0.0412014 | − | 0.0713628i | 0.844689 | − | 0.535257i | \(-0.179785\pi\) |
−0.885891 | + | 0.463894i | \(0.846452\pi\) | |||||||
\(228\) | 23.7051 | − | 6.23936i | 1.56991 | − | 0.413212i | ||||
\(229\) | −6.31368 | − | 5.85824i | −0.417220 | − | 0.387124i | 0.443440 | − | 0.896304i | \(-0.353758\pi\) |
−0.860660 | + | 0.509181i | \(0.829948\pi\) | |||||||
\(230\) | −27.4272 | − | 18.6995i | −1.80849 | − | 1.23301i | ||||
\(231\) | 5.39124 | + | 8.62730i | 0.354717 | + | 0.567635i | ||||
\(232\) | 1.13647 | − | 0.774833i | 0.0746130 | − | 0.0508703i | ||||
\(233\) | 11.4840 | + | 1.73094i | 0.752343 | + | 0.113397i | 0.514008 | − | 0.857786i | \(-0.328160\pi\) |
0.238335 | + | 0.971183i | \(0.423398\pi\) | |||||||
\(234\) | 23.6018 | + | 19.1663i | 1.54290 | + | 1.25294i | ||||
\(235\) | −1.65692 | − | 1.53740i | −0.108086 | − | 0.100289i | ||||
\(236\) | 18.3183 | − | 8.82161i | 1.19242 | − | 0.574238i | ||||
\(237\) | 2.07258 | + | 2.83444i | 0.134629 | + | 0.184116i | ||||
\(238\) | 20.5915 | + | 4.65741i | 1.33475 | + | 0.301895i | ||||
\(239\) | 22.8194 | − | 7.03885i | 1.47606 | − | 0.455305i | 0.550802 | − | 0.834636i | \(-0.314322\pi\) |
0.925261 | + | 0.379331i | \(0.123846\pi\) | |||||||
\(240\) | −20.5729 | + | 2.22578i | −1.32797 | + | 0.143673i | ||||
\(241\) | −8.63209 | + | 21.9942i | −0.556042 | + | 1.41677i | 0.325896 | + | 0.945406i | \(0.394334\pi\) |
−0.881938 | + | 0.471366i | \(0.843761\pi\) | |||||||
\(242\) | 12.0791 | + | 3.72592i | 0.776476 | + | 0.239511i | ||||
\(243\) | 0.237793 | + | 15.5866i | 0.0152544 | + | 0.999884i | ||||
\(244\) | 0.935244 | 0.0598729 | ||||||||
\(245\) | −21.5212 | − | 14.5496i | −1.37494 | − | 0.929541i | ||||
\(246\) | 1.59727 | + | 1.18980i | 0.101838 | + | 0.0758589i | ||||
\(247\) | 24.3830 | − | 16.6240i | 1.55145 | − | 1.05776i | ||||
\(248\) | 0.639128 | + | 2.80020i | 0.0405847 | + | 0.177813i | ||||
\(249\) | 16.9642 | − | 10.5548i | 1.07506 | − | 0.668884i | ||||
\(250\) | 6.48602 | + | 28.4171i | 0.410212 | + | 1.79726i | ||||
\(251\) | −2.20862 | + | 9.67659i | −0.139407 | + | 0.610781i | 0.856159 | + | 0.516712i | \(0.172844\pi\) |
−0.995566 | + | 0.0940683i | \(0.970013\pi\) | |||||||
\(252\) | −3.99842 | − | 18.0925i | −0.251877 | − | 1.13972i | ||||
\(253\) | −2.12238 | − | 9.29877i | −0.133433 | − | 0.584609i | ||||
\(254\) | −24.0165 | + | 11.5658i | −1.50693 | + | 0.725700i | ||||
\(255\) | −18.7445 | + | 15.9870i | −1.17383 | + | 1.00114i | ||||
\(256\) | −8.46362 | − | 4.07586i | −0.528976 | − | 0.254741i | ||||
\(257\) | 1.37997 | + | 3.51611i | 0.0860802 | + | 0.219329i | 0.967432 | − | 0.253133i | \(-0.0814609\pi\) |
−0.881351 | + | 0.472461i | \(0.843366\pi\) | |||||||
\(258\) | −25.1289 | + | 39.6020i | −1.56446 | + | 2.46551i | ||||
\(259\) | 3.09855 | − | 10.1156i | 0.192535 | − | 0.628555i | ||||
\(260\) | 37.9962 | − | 18.2980i | 2.35643 | − | 1.13480i | ||||
\(261\) | 5.91336 | − | 0.390504i | 0.366028 | − | 0.0241716i | ||||
\(262\) | −8.90857 | − | 22.6987i | −0.550374 | − | 1.40233i | ||||
\(263\) | −5.52076 | − | 9.56224i | −0.340425 | − | 0.589633i | 0.644087 | − | 0.764952i | \(-0.277237\pi\) |
−0.984512 | + | 0.175320i | \(0.943904\pi\) | |||||||
\(264\) | 2.14714 | + | 1.59940i | 0.132147 | + | 0.0984361i | ||||
\(265\) | −31.8298 | − | 4.79757i | −1.95529 | − | 0.294712i | ||||
\(266\) | −33.3046 | − | 2.43018i | −2.04204 | − | 0.149004i | ||||
\(267\) | 0.0439746 | + | 1.33325i | 0.00269120 | + | 0.0815938i | ||||
\(268\) | −17.4684 | − | 21.9047i | −1.06705 | − | 1.33804i | ||||
\(269\) | −1.12627 | + | 15.0290i | −0.0686697 | + | 0.916333i | 0.851385 | + | 0.524542i | \(0.175763\pi\) |
−0.920054 | + | 0.391791i | \(0.871856\pi\) | |||||||
\(270\) | 36.5809 | + | 16.5421i | 2.22624 | + | 1.00672i | ||||
\(271\) | 11.2563 | − | 28.6807i | 0.683773 | − | 1.74223i | 0.0137279 | − | 0.999906i | \(-0.495630\pi\) |
0.670045 | − | 0.742320i | \(-0.266275\pi\) | |||||||
\(272\) | −12.2006 | + | 1.83895i | −0.739772 | + | 0.111503i | ||||
\(273\) | −11.8216 | − | 18.9175i | −0.715476 | − | 1.14494i | ||||
\(274\) | 41.9496 | + | 6.32288i | 2.53427 | + | 0.381979i | ||||
\(275\) | −9.73749 | + | 16.8658i | −0.587192 | + | 1.01705i | ||||
\(276\) | −2.02147 | + | 17.2538i | −0.121678 | + | 1.03856i | ||||
\(277\) | 20.3584 | + | 3.06854i | 1.22322 | + | 0.184371i | 0.728723 | − | 0.684809i | \(-0.240114\pi\) |
0.494497 | + | 0.869179i | \(0.335352\pi\) | |||||||
\(278\) | 16.3557 | − | 5.04508i | 0.980952 | − | 0.302584i | ||||
\(279\) | −3.75218 | + | 11.7924i | −0.224637 | + | 0.705992i | ||||
\(280\) | −6.66833 | − | 1.50825i | −0.398509 | − | 0.0901353i | ||||
\(281\) | −13.4890 | + | 9.19666i | −0.804688 | + | 0.548627i | −0.894362 | − | 0.447344i | \(-0.852370\pi\) |
0.0896741 | + | 0.995971i | \(0.471417\pi\) | |||||||
\(282\) | −0.577829 | + | 2.11890i | −0.0344092 | + | 0.126179i | ||||
\(283\) | −9.88677 | − | 4.76122i | −0.587707 | − | 0.283025i | 0.116304 | − | 0.993214i | \(-0.462895\pi\) |
−0.704011 | + | 0.710189i | \(0.748610\pi\) | |||||||
\(284\) | −8.38933 | + | 36.7561i | −0.497815 | + | 2.18107i | ||||
\(285\) | 25.5490 | − | 29.4239i | 1.51339 | − | 1.74292i | ||||
\(286\) | 21.4992 | + | 6.63162i | 1.27127 | + | 0.392136i | ||||
\(287\) | −0.825559 | − | 1.20579i | −0.0487312 | − | 0.0711753i | ||||
\(288\) | 13.5017 | + | 20.1852i | 0.795597 | + | 1.18943i | ||||
\(289\) | 1.69362 | − | 1.57145i | 0.0996248 | − | 0.0924383i | ||||
\(290\) | 5.57609 | − | 14.2077i | 0.327440 | − | 0.834302i | ||||
\(291\) | 3.40408 | − | 0.368287i | 0.199550 | − | 0.0215893i | ||||
\(292\) | 3.45908 | − | 2.35836i | 0.202428 | − | 0.138013i | ||||
\(293\) | 0.622609 | + | 1.07839i | 0.0363732 | + | 0.0630002i | 0.883639 | − | 0.468169i | \(-0.155086\pi\) |
−0.847266 | + | 0.531169i | \(0.821753\pi\) | |||||||
\(294\) | −2.83895 | + | 25.0819i | −0.165571 | + | 1.46281i | ||||
\(295\) | 16.1610 | − | 27.9916i | 0.940928 | − | 1.62973i | ||||
\(296\) | −0.208070 | − | 2.77650i | −0.0120938 | − | 0.161381i | ||||
\(297\) | 4.47204 | + | 10.6333i | 0.259494 | + | 0.617006i | ||||
\(298\) | 4.47152 | − | 0.673973i | 0.259028 | − | 0.0390422i | ||||
\(299\) | 4.65385 | + | 20.3898i | 0.269139 | + | 1.17917i | ||||
\(300\) | 26.9880 | − | 23.0178i | 1.55815 | − | 1.32893i | ||||
\(301\) | 26.8624 | − | 21.5083i | 1.54832 | − | 1.23972i | ||||
\(302\) | −22.7303 | + | 21.0907i | −1.30798 | + | 1.21363i | ||||
\(303\) | −7.76233 | − | 1.50435i | −0.445934 | − | 0.0864227i | ||||
\(304\) | 18.6492 | − | 5.75252i | 1.06960 | − | 0.329929i | ||||
\(305\) | 1.22844 | − | 0.837535i | 0.0703402 | − | 0.0479571i | ||||
\(306\) | 22.2052 | + | 8.94269i | 1.26939 | + | 0.511220i | ||||
\(307\) | 17.6021 | + | 8.47672i | 1.00460 | + | 0.483792i | 0.862499 | − | 0.506059i | \(-0.168898\pi\) |
0.142106 | + | 0.989851i | \(0.454613\pi\) | |||||||
\(308\) | −7.74616 | − | 11.3138i | −0.441378 | − | 0.644664i | ||||
\(309\) | 3.50130 | + | 10.1501i | 0.199182 | + | 0.577420i | ||||
\(310\) | 23.3631 | + | 21.6778i | 1.32694 | + | 1.23122i | ||||
\(311\) | 6.84832 | − | 8.58752i | 0.388333 | − | 0.486954i | −0.548787 | − | 0.835962i | \(-0.684910\pi\) |
0.937120 | + | 0.349009i | \(0.113482\pi\) | |||||||
\(312\) | −4.70812 | − | 3.50707i | −0.266545 | − | 0.198549i | ||||
\(313\) | −1.86252 | −0.105276 | −0.0526380 | − | 0.998614i | \(-0.516763\pi\) | ||||
−0.0526380 | + | 0.998614i | \(0.516763\pi\) | |||||||
\(314\) | 18.9233 | − | 23.7291i | 1.06790 | − | 1.33911i | ||||
\(315\) | −21.4542 | − | 20.1838i | −1.20881 | − | 1.13723i | ||||
\(316\) | −2.95072 | − | 3.70008i | −0.165991 | − | 0.208146i | ||||
\(317\) | 11.2306 | + | 14.0827i | 0.630773 | + | 0.790964i | 0.989815 | − | 0.142357i | \(-0.0454681\pi\) |
−0.359042 | + | 0.933321i | \(0.616897\pi\) | |||||||
\(318\) | 10.1995 | + | 29.5678i | 0.571957 | + | 1.65808i | ||||
\(319\) | 3.95111 | − | 1.90276i | 0.221220 | − | 0.106534i | ||||
\(320\) | 38.2178 | − | 5.76041i | 2.13644 | − | 0.322017i | ||||
\(321\) | −0.605748 | − | 18.3655i | −0.0338095 | − | 1.02506i | ||||
\(322\) | 10.2263 | − | 21.3421i | 0.569889 | − | 1.18935i | ||||
\(323\) | 14.4869 | − | 18.1660i | 0.806075 | − | 1.01079i | ||||
\(324\) | −1.19868 | − | 20.9758i | −0.0665935 | − | 1.16532i | ||||
\(325\) | 21.3518 | − | 36.9824i | 1.18439 | − | 2.05142i | ||||
\(326\) | −11.1413 | − | 1.67929i | −0.617062 | − | 0.0930071i | ||||
\(327\) | −6.78745 | − | 2.40883i | −0.375347 | − | 0.133208i | ||||
\(328\) | −0.317759 | − | 0.216645i | −0.0175453 | − | 0.0119622i | ||||
\(329\) | 0.905133 | − | 1.33320i | 0.0499016 | − | 0.0735015i | ||||
\(330\) | 29.6829 | + | 1.24233i | 1.63399 | + | 0.0683878i | ||||
\(331\) | 8.53066 | − | 10.6971i | 0.468888 | − | 0.587966i | −0.490011 | − | 0.871716i | \(-0.663007\pi\) |
0.958898 | + | 0.283750i | \(0.0915786\pi\) | |||||||
\(332\) | −22.2494 | + | 15.1694i | −1.22109 | + | 0.832528i | ||||
\(333\) | 5.30044 | − | 10.7616i | 0.290463 | − | 0.589731i | ||||
\(334\) | 5.36909 | + | 3.66058i | 0.293783 | + | 0.200298i | ||||
\(335\) | −42.5608 | − | 13.1283i | −2.32535 | − | 0.717275i | ||||
\(336\) | −3.78303 | − | 14.2592i | −0.206381 | − | 0.777901i | ||||
\(337\) | −21.3907 | + | 6.59816i | −1.16523 | + | 0.359424i | −0.816245 | − | 0.577706i | \(-0.803948\pi\) |
−0.348980 | + | 0.937130i | \(0.613472\pi\) | |||||||
\(338\) | −21.2795 | − | 6.56386i | −1.15745 | − | 0.357027i | ||||
\(339\) | −0.394917 | − | 11.9734i | −0.0214489 | − | 0.650305i | ||||
\(340\) | 24.3406 | − | 22.5848i | 1.32005 | − | 1.22483i | ||||
\(341\) | 0.684336 | + | 9.13183i | 0.0370589 | + | 0.494516i | ||||
\(342\) | −36.8389 | − | 8.75225i | −1.99202 | − | 0.473268i | ||||
\(343\) | 7.93735 | − | 16.7332i | 0.428576 | − | 0.903506i | ||||
\(344\) | 4.52822 | − | 7.84310i | 0.244145 | − | 0.422872i | ||||
\(345\) | 12.7961 | + | 24.4731i | 0.688917 | + | 1.31759i | ||||
\(346\) | 2.38631 | + | 10.4551i | 0.128289 | + | 0.562070i | ||||
\(347\) | 3.03527 | + | 3.80610i | 0.162942 | + | 0.204322i | 0.856599 | − | 0.515983i | \(-0.172573\pi\) |
−0.693657 | + | 0.720305i | \(0.744002\pi\) | |||||||
\(348\) | −7.94101 | + | 0.859137i | −0.425683 | + | 0.0460546i | ||||
\(349\) | −3.17431 | − | 2.94533i | −0.169917 | − | 0.157660i | 0.590631 | − | 0.806942i | \(-0.298879\pi\) |
−0.760548 | + | 0.649282i | \(0.775069\pi\) | |||||||
\(350\) | −44.9466 | + | 17.7420i | −2.40250 | + | 0.948351i | ||||
\(351\) | −9.80604 | − | 23.3161i | −0.523408 | − | 1.24452i | ||||
\(352\) | 14.8480 | + | 10.1232i | 0.791398 | + | 0.539566i | ||||
\(353\) | −0.511387 | + | 0.157742i | −0.0272184 | + | 0.00839575i | −0.308334 | − | 0.951278i | \(-0.599772\pi\) |
0.281116 | + | 0.959674i | \(0.409295\pi\) | |||||||
\(354\) | −31.3789 | − | 1.31331i | −1.66777 | − | 0.0698017i | ||||
\(355\) | 21.8967 | + | 55.7918i | 1.16215 | + | 2.96112i | ||||
\(356\) | −0.134359 | − | 1.79290i | −0.00712104 | − | 0.0950236i | ||||
\(357\) | −13.2844 | − | 11.4894i | −0.703087 | − | 0.608082i | ||||
\(358\) | −2.33068 | + | 31.1008i | −0.123180 | + | 1.64373i | ||||
\(359\) | −29.6449 | + | 9.14423i | −1.56460 | + | 0.482614i | −0.951566 | − | 0.307446i | \(-0.900526\pi\) |
−0.613030 | + | 0.790060i | \(0.710050\pi\) | |||||||
\(360\) | −7.19092 | − | 2.89599i | −0.378995 | − | 0.152632i | ||||
\(361\) | −8.87611 | + | 15.3739i | −0.467163 | + | 0.809151i | ||||
\(362\) | 41.6727 | 2.19027 | ||||||||
\(363\) | −7.40319 | − | 7.46906i | −0.388567 | − | 0.392024i | ||||
\(364\) | 16.9853 | + | 24.8083i | 0.890274 | + | 1.30031i | ||||
\(365\) | 2.43151 | − | 6.19540i | 0.127271 | − | 0.324282i | ||||
\(366\) | −1.27425 | − | 0.680699i | −0.0666062 | − | 0.0355807i | ||||
\(367\) | −23.3848 | − | 15.9435i | −1.22068 | − | 0.832244i | −0.230638 | − | 0.973040i | \(-0.574081\pi\) |
−0.990039 | + | 0.140796i | \(0.955034\pi\) | |||||||
\(368\) | −1.03360 | + | 13.7924i | −0.0538800 | + | 0.718979i | ||||
\(369\) | −0.705687 | − | 1.49920i | −0.0367366 | − | 0.0780454i | ||||
\(370\) | −19.2629 | − | 24.1549i | −1.00143 | − | 1.25576i | ||||
\(371\) | −0.0449967 | − | 22.9484i | −0.00233611 | − | 1.19142i | ||||
\(372\) | 4.38812 | − | 16.0913i | 0.227514 | − | 0.834294i | ||||
\(373\) | −1.45804 | + | 2.52541i | −0.0754947 | + | 0.130761i | −0.901301 | − | 0.433193i | \(-0.857387\pi\) |
0.825807 | + | 0.563953i | \(0.190720\pi\) | |||||||
\(374\) | 17.7143 | 0.915985 | ||||||||
\(375\) | 6.37988 | − | 23.3951i | 0.329456 | − | 1.20812i | ||||
\(376\) | 0.0943682 | − | 0.413454i | 0.00486667 | − | 0.0213223i | ||||
\(377\) | −8.66378 | + | 4.17226i | −0.446207 | + | 0.214882i | ||||
\(378\) | −7.72053 | + | 27.5609i | −0.397101 | + | 1.41758i | ||||
\(379\) | 7.92353 | + | 3.81577i | 0.407004 | + | 0.196003i | 0.626173 | − | 0.779684i | \(-0.284620\pi\) |
−0.219169 | + | 0.975687i | \(0.570335\pi\) | |||||||
\(380\) | −32.7463 | + | 41.0626i | −1.67985 | + | 2.10646i | ||||
\(381\) | 22.1572 | + | 0.927350i | 1.13515 | + | 0.0475096i | ||||
\(382\) | −9.23545 | + | 40.4631i | −0.472527 | + | 2.07027i | ||||
\(383\) | −1.99623 | + | 26.6378i | −0.102003 | + | 1.36113i | 0.677865 | + | 0.735186i | \(0.262905\pi\) |
−0.779868 | + | 0.625944i | \(0.784714\pi\) | |||||||
\(384\) | −5.61522 | − | 7.67931i | −0.286551 | − | 0.391883i | ||||
\(385\) | −20.3063 | − | 7.92374i | −1.03491 | − | 0.403831i | ||||
\(386\) | −4.44492 | + | 19.4745i | −0.226241 | + | 0.991224i | ||||
\(387\) | 33.9635 | − | 19.2097i | 1.72646 | − | 0.976486i | ||||
\(388\) | −4.56322 | + | 0.687795i | −0.231663 | + | 0.0349175i | ||||
\(389\) | −15.4886 | + | 14.3713i | −0.785303 | + | 0.728655i | −0.967021 | − | 0.254696i | \(-0.918025\pi\) |
0.181718 | + | 0.983351i | \(0.441834\pi\) | |||||||
\(390\) | −65.0870 | − | 2.72410i | −3.29581 | − | 0.137940i | ||||
\(391\) | 8.23336 | + | 14.2606i | 0.416379 | + | 0.721189i | ||||
\(392\) | 0.345178 | − | 4.86185i | 0.0174341 | − | 0.245560i | ||||
\(393\) | −2.36061 | + | 20.1485i | −0.119077 | + | 1.01636i | ||||
\(394\) | 0.643386 | + | 0.309838i | 0.0324133 | + | 0.0156094i | ||||
\(395\) | −7.18927 | − | 2.21760i | −0.361732 | − | 0.111579i | ||||
\(396\) | −6.62141 | − | 14.0669i | −0.332738 | − | 0.706888i | ||||
\(397\) | −26.5722 | + | 24.6554i | −1.33362 | + | 1.23742i | −0.384265 | + | 0.923223i | \(0.625545\pi\) |
−0.949357 | + | 0.314198i | \(0.898264\pi\) | |||||||
\(398\) | 0.778966 | + | 0.722775i | 0.0390461 | + | 0.0362294i | ||||
\(399\) | 23.4865 | + | 14.8385i | 1.17579 | + | 0.742855i | ||||
\(400\) | 20.7021 | − | 19.2087i | 1.03511 | − | 0.960437i | ||||
\(401\) | 0.556196 | − | 7.42193i | 0.0277751 | − | 0.370633i | −0.965946 | − | 0.258745i | \(-0.916691\pi\) |
0.993721 | − | 0.111888i | \(-0.0356899\pi\) | |||||||
\(402\) | 7.85747 | + | 42.5587i | 0.391895 | + | 2.12264i | ||||
\(403\) | −1.50057 | − | 20.0238i | −0.0747489 | − | 0.997455i | ||||
\(404\) | 10.5377 | + | 1.58830i | 0.524268 | + | 0.0790206i | ||||
\(405\) | −20.3588 | − | 26.4782i | −1.01164 | − | 1.31571i | ||||
\(406\) | 10.6130 | + | 2.40047i | 0.526716 | + | 0.119133i | ||||
\(407\) | 0.663386 | − | 8.85226i | 0.0328828 | − | 0.438790i | ||||
\(408\) | −4.35614 | − | 1.54597i | −0.215661 | − | 0.0765368i | ||||
\(409\) | −4.18623 | + | 5.24937i | −0.206996 | + | 0.259565i | −0.874482 | − | 0.485057i | \(-0.838799\pi\) |
0.667487 | + | 0.744622i | \(0.267370\pi\) | |||||||
\(410\) | −4.26748 | −0.210756 | ||||||||
\(411\) | −28.3043 | − | 21.0838i | −1.39615 | − | 1.03999i | ||||
\(412\) | −5.28697 | − | 13.4710i | −0.260470 | − | 0.663667i | ||||
\(413\) | 21.4666 | + | 8.37648i | 1.05630 | + | 0.412180i | ||||
\(414\) | 15.3121 | − | 22.0367i | 0.752547 | − | 1.08305i | ||||
\(415\) | −15.6399 | + | 39.8498i | −0.767732 | + | 1.95615i | ||||
\(416\) | −32.5578 | − | 22.1975i | −1.59628 | − | 1.08832i | ||||
\(417\) | −13.9796 | − | 2.70926i | −0.684582 | − | 0.132673i | ||||
\(418\) | −27.7065 | + | 4.17609i | −1.35517 | + | 0.204259i | ||||
\(419\) | 11.4969 | − | 29.2936i | 0.561659 | − | 1.43108i | −0.314591 | − | 0.949227i | \(-0.601867\pi\) |
0.876250 | − | 0.481857i | \(-0.160037\pi\) | |||||||
\(420\) | 30.0282 | + | 25.9706i | 1.46522 | + | 1.26724i | ||||
\(421\) | 4.43307 | + | 11.2953i | 0.216055 | + | 0.550499i | 0.997276 | − | 0.0737552i | \(-0.0234983\pi\) |
−0.781222 | + | 0.624254i | \(0.785403\pi\) | |||||||
\(422\) | −21.9099 | − | 37.9490i | −1.06656 | − | 1.84733i | ||||
\(423\) | 1.25461 | − | 1.32836i | 0.0610014 | − | 0.0645869i | ||||
\(424\) | −2.20647 | − | 5.62199i | −0.107156 | − | 0.273028i | ||||
\(425\) | 7.48172 | − | 32.7796i | 0.362917 | − | 1.59004i | ||||
\(426\) | 38.1825 | − | 43.9734i | 1.84995 | − | 2.13052i | ||||
\(427\) | 0.722479 | + | 0.775591i | 0.0349632 | + | 0.0375335i | ||||
\(428\) | 1.85079 | + | 24.6971i | 0.0894616 | + | 1.19378i | ||||
\(429\) | −13.1766 | − | 13.2939i | −0.636175 | − | 0.641835i | ||||
\(430\) | −7.50986 | − | 100.212i | −0.362158 | − | 4.83266i | ||||
\(431\) | −4.89712 | − | 4.54387i | −0.235886 | − | 0.218870i | 0.553368 | − | 0.832937i | \(-0.313342\pi\) |
−0.789254 | + | 0.614066i | \(0.789533\pi\) | |||||||
\(432\) | −1.65189 | − | 16.6459i | −0.0794765 | − | 0.800879i | ||||
\(433\) | 3.68199 | + | 16.1318i | 0.176945 | + | 0.775247i | 0.983030 | + | 0.183447i | \(0.0587255\pi\) |
−0.806085 | + | 0.591800i | \(0.798417\pi\) | |||||||
\(434\) | −12.7627 | + | 18.7985i | −0.612628 | + | 0.902356i | ||||
\(435\) | −9.66110 | + | 8.23985i | −0.463214 | + | 0.395071i | ||||
\(436\) | 9.27585 | + | 2.86122i | 0.444233 | + | 0.137028i | ||||
\(437\) | −16.2395 | − | 20.3637i | −0.776840 | − | 0.974127i | ||||
\(438\) | −6.42942 | + | 0.695599i | −0.307210 | + | 0.0332370i | ||||
\(439\) | 8.49370 | + | 4.09035i | 0.405382 | + | 0.195222i | 0.625452 | − | 0.780262i | \(-0.284914\pi\) |
−0.220070 | + | 0.975484i | \(0.570629\pi\) | |||||||
\(440\) | −5.73659 | −0.273481 | ||||||||
\(441\) | 11.9152 | − | 17.2924i | 0.567392 | − | 0.823448i | ||||
\(442\) | −38.8429 | −1.84757 | ||||||||
\(443\) | 18.5132 | + | 8.91550i | 0.879589 | + | 0.423588i | 0.818475 | − | 0.574543i | \(-0.194820\pi\) |
0.0611149 | + | 0.998131i | \(0.480534\pi\) | |||||||
\(444\) | −6.53113 | + | 14.7904i | −0.309954 | + | 0.701923i | ||||
\(445\) | −1.78207 | − | 2.23465i | −0.0844782 | − | 0.105932i | ||||
\(446\) | 3.57190 | + | 1.10178i | 0.169134 | + | 0.0521710i | ||||
\(447\) | −3.54542 | − | 1.25825i | −0.167693 | − | 0.0595131i | ||||
\(448\) | 8.17332 | + | 26.3139i | 0.386153 | + | 1.24322i | ||||
\(449\) | 5.58897 | + | 24.4869i | 0.263760 | + | 1.15561i | 0.917136 | + | 0.398574i | \(0.130495\pi\) |
−0.653376 | + | 0.757034i | \(0.726648\pi\) | |||||||
\(450\) | −53.5237 | + | 11.7186i | −2.52313 | + | 0.552421i | ||||
\(451\) | −0.898843 | − | 0.834005i | −0.0423249 | − | 0.0392718i | ||||
\(452\) | 1.20662 | + | 16.1013i | 0.0567548 | + | 0.757340i | ||||
\(453\) | 24.9471 | − | 6.56626i | 1.17212 | − | 0.308510i | ||||
\(454\) | −0.193160 | − | 2.57754i | −0.00906544 | − | 0.120970i | ||||
\(455\) | 44.5266 | + | 17.3747i | 2.08744 | + | 0.814540i | ||||
\(456\) | 7.17779 | + | 1.39107i | 0.336131 | + | 0.0651427i | ||||
\(457\) | 1.80238 | − | 7.89675i | 0.0843119 | − | 0.369395i | −0.915117 | − | 0.403189i | \(-0.867902\pi\) |
0.999429 | + | 0.0337940i | \(0.0107590\pi\) | |||||||
\(458\) | −6.55109 | − | 16.6919i | −0.306112 | − | 0.779961i | ||||
\(459\) | −12.7888 | − | 15.2665i | −0.596930 | − | 0.712580i | ||||
\(460\) | −18.6107 | − | 32.2347i | −0.867728 | − | 1.50295i | ||||
\(461\) | 3.66002 | + | 9.32559i | 0.170464 | + | 0.434336i | 0.990419 | − | 0.138092i | \(-0.0440969\pi\) |
−0.819955 | + | 0.572428i | \(0.806002\pi\) | |||||||
\(462\) | 2.31946 | + | 21.0527i | 0.107911 | + | 0.979461i | ||||
\(463\) | 6.32272 | − | 16.1100i | 0.293842 | − | 0.748697i | −0.705364 | − | 0.708846i | \(-0.749216\pi\) |
0.999206 | − | 0.0398513i | \(-0.0126884\pi\) | |||||||
\(464\) | −6.28832 | + | 0.947812i | −0.291928 | + | 0.0440010i | ||||
\(465\) | −8.64638 | − | 25.0655i | −0.400966 | − | 1.16238i | ||||
\(466\) | 19.9776 | + | 13.6205i | 0.925446 | + | 0.630959i | ||||
\(467\) | −4.39934 | + | 11.2093i | −0.203577 | + | 0.518707i | −0.995803 | − | 0.0915214i | \(-0.970827\pi\) |
0.792226 | + | 0.610228i | \(0.208922\pi\) | |||||||
\(468\) | 14.5191 | + | 30.8451i | 0.671144 | + | 1.42582i | ||||
\(469\) | 4.67101 | − | 31.4078i | 0.215687 | − | 1.45028i | ||||
\(470\) | −1.71922 | − | 4.38051i | −0.0793019 | − | 0.202058i | ||||
\(471\) | −23.1877 | + | 9.99467i | −1.06843 | + | 0.460530i | ||||
\(472\) | 6.06436 | 0.279135 | ||||||||
\(473\) | 18.0029 | − | 22.5750i | 0.827776 | − | 1.03800i | ||||
\(474\) | 1.32726 | + | 7.18891i | 0.0609632 | + | 0.330198i | ||||
\(475\) | −3.97432 | + | 53.0336i | −0.182354 | + | 2.43335i | ||||
\(476\) | 18.5366 | + | 14.7231i | 0.849622 | + | 0.674830i | ||||
\(477\) | 4.10601 | − | 25.6951i | 0.188001 | − | 1.17650i | ||||
\(478\) | 49.1619 | + | 7.40997i | 2.24862 | + | 0.338924i | ||||
\(479\) | −0.714834 | − | 9.53880i | −0.0326616 | − | 0.435839i | −0.989432 | − | 0.144995i | \(-0.953683\pi\) |
0.956771 | − | 0.290843i | \(-0.0939358\pi\) | |||||||
\(480\) | −49.0363 | − | 17.4027i | −2.23819 | − | 0.794320i | ||||
\(481\) | −1.45463 | + | 19.4108i | −0.0663256 | + | 0.885054i | ||||
\(482\) | −36.0595 | + | 33.4583i | −1.64246 | + | 1.52398i | ||||
\(483\) | −15.8701 | + | 11.6523i | −0.722114 | + | 0.530196i | ||||
\(484\) | 10.3902 | + | 9.64070i | 0.472282 | + | 0.438214i | ||||
\(485\) | −5.37783 | + | 4.98990i | −0.244195 | + | 0.226580i | ||||
\(486\) | −13.6336 | + | 29.4516i | −0.618434 | + | 1.33595i | ||||
\(487\) | −25.1406 | − | 7.75484i | −1.13923 | − | 0.351405i | −0.332951 | − | 0.942944i | \(-0.608045\pi\) |
−0.806277 | + | 0.591539i | \(0.798521\pi\) | |||||||
\(488\) | 0.251331 | + | 0.121034i | 0.0113772 | + | 0.00547897i | ||||
\(489\) | 7.51730 | + | 5.59962i | 0.339944 | + | 0.253223i | ||||
\(490\) | −27.2257 | − | 46.7320i | −1.22993 | − | 2.11114i | ||||
\(491\) | −2.93654 | − | 5.08623i | −0.132524 | − | 0.229538i | 0.792125 | − | 0.610359i | \(-0.208975\pi\) |
−0.924649 | + | 0.380821i | \(0.875642\pi\) | |||||||
\(492\) | 1.03478 | + | 1.97908i | 0.0466517 | + | 0.0892236i | ||||
\(493\) | −5.55006 | + | 5.14971i | −0.249962 | + | 0.231931i | ||||
\(494\) | 60.7534 | − | 9.15709i | 2.73342 | − | 0.411997i | ||||
\(495\) | −21.2945 | − | 12.5472i | −0.957115 | − | 0.563953i | ||||
\(496\) | 2.95493 | − | 12.9464i | 0.132680 | − | 0.581311i | ||||
\(497\) | −36.9623 | + | 21.4369i | −1.65799 | + | 0.961579i | ||||
\(498\) | 41.3551 | − | 4.47420i | 1.85317 | − | 0.200494i | ||||
\(499\) | 1.95950 | − | 26.1478i | 0.0877195 | − | 1.17054i | −0.763529 | − | 0.645773i | \(-0.776535\pi\) |
0.851249 | − | 0.524762i | \(-0.175846\pi\) | |||||||
\(500\) | −7.27269 | + | 31.8638i | −0.325245 | + | 1.42499i | ||||
\(501\) | −2.50493 | − | 4.79081i | −0.111912 | − | 0.214037i | ||||
\(502\) | −12.8839 | + | 16.1558i | −0.575035 | + | 0.721071i | ||||
\(503\) | −2.04870 | − | 0.986604i | −0.0913472 | − | 0.0439905i | 0.387652 | − | 0.921806i | \(-0.373286\pi\) |
−0.478999 | + | 0.877815i | \(0.659000\pi\) | |||||||
\(504\) | 1.26694 | − | 5.37952i | 0.0564339 | − | 0.239623i | ||||
\(505\) | 15.2635 | − | 7.35052i | 0.679217 | − | 0.327094i | ||||
\(506\) | 4.41866 | − | 19.3594i | 0.196434 | − | 0.860632i | ||||
\(507\) | 13.0420 | + | 13.1580i | 0.579216 | + | 0.584369i | ||||
\(508\) | −29.8894 | −1.32613 | ||||||||
\(509\) | 11.0296 | − | 19.1038i | 0.488877 | − | 0.846760i | −0.511041 | − | 0.859556i | \(-0.670740\pi\) |
0.999918 | + | 0.0127961i | \(0.00407325\pi\) | |||||||
\(510\) | −49.6015 | + | 13.0555i | −2.19639 | + | 0.578107i | ||||
\(511\) | 4.62793 | + | 1.04675i | 0.204727 | + | 0.0463055i | ||||
\(512\) | −19.0429 | − | 23.8791i | −0.841586 | − | 1.05532i | ||||
\(513\) | 23.6017 | + | 20.8631i | 1.04204 | + | 0.921128i | ||||
\(514\) | −0.587670 | + | 7.84191i | −0.0259210 | + | 0.345892i | ||||
\(515\) | −19.0080 | − | 12.9594i | −0.837593 | − | 0.571061i | ||||
\(516\) | −44.6531 | + | 27.7823i | −1.96574 | + | 1.22305i | ||||
\(517\) | 0.493981 | − | 1.25864i | 0.0217253 | − | 0.0553550i | ||||
\(518\) | 14.9498 | − | 16.1755i | 0.656855 | − | 0.710711i | ||||
\(519\) | 2.34726 | − | 8.60742i | 0.103033 | − | 0.377824i | ||||
\(520\) | 12.5789 | 0.551620 | ||||||||
\(521\) | −18.5548 | + | 32.1378i | −0.812899 | + | 1.40798i | 0.0979271 | + | 0.995194i | \(0.468779\pi\) |
−0.910826 | + | 0.412789i | \(0.864555\pi\) | |||||||
\(522\) | 11.4448 | + | 4.60915i | 0.500924 | + | 0.201737i | ||||
\(523\) | −22.5280 | + | 6.94895i | −0.985079 | + | 0.303856i | −0.745123 | − | 0.666927i | \(-0.767609\pi\) |
−0.239956 | + | 0.970784i | \(0.577133\pi\) | |||||||
\(524\) | 2.04325 | − | 27.2653i | 0.0892600 | − | 1.19109i | ||||
\(525\) | 39.9368 | + | 4.59965i | 1.74299 | + | 0.200745i | ||||
\(526\) | −1.71787 | − | 22.9234i | −0.0749028 | − | 0.999509i | ||||
\(527\) | −5.77598 | − | 14.7170i | −0.251606 | − | 0.641081i | ||||
\(528\) | −5.73554 | − | 10.9695i | −0.249607 | − | 0.477386i | ||||
\(529\) | −4.33947 | + | 1.33855i | −0.188673 | + | 0.0581978i | ||||
\(530\) | −55.3712 | − | 37.7515i | −2.40517 | − | 1.63982i | ||||
\(531\) | 22.5112 | + | 13.2641i | 0.976902 | + | 0.575612i | ||||
\(532\) | −32.4636 | − | 18.6581i | −1.40747 | − | 0.808930i | ||||
\(533\) | 1.97093 | + | 1.82876i | 0.0853706 | + | 0.0792124i | ||||
\(534\) | −1.12187 | + | 2.54058i | −0.0485479 | + | 0.109942i | ||||
\(535\) | 24.5479 | + | 30.7821i | 1.06130 | + | 1.33083i | ||||
\(536\) | −1.85954 | − | 8.14717i | −0.0803199 | − | 0.351904i | ||||
\(537\) | 13.9016 | − | 21.9083i | 0.599899 | − | 0.945412i | ||||
\(538\) | −15.6885 | + | 27.1733i | −0.676381 | + | 1.17153i | ||||
\(539\) | 3.39853 | − | 15.1638i | 0.146385 | − | 0.653150i | ||||
\(540\) | 28.9078 | + | 34.5085i | 1.24400 | + | 1.48501i | ||||
\(541\) | −2.00873 | − | 26.8047i | −0.0863622 | − | 1.15242i | −0.857058 | − | 0.515220i | \(-0.827710\pi\) |
0.770696 | − | 0.637203i | \(-0.219909\pi\) | |||||||
\(542\) | 47.0219 | − | 43.6299i | 2.01976 | − | 1.87407i | ||||
\(543\) | −30.5797 | − | 16.3355i | −1.31230 | − | 0.701023i | ||||
\(544\) | −29.6468 | − | 9.14484i | −1.27110 | − | 0.392082i | ||||
\(545\) | 14.7461 | − | 4.54856i | 0.631653 | − | 0.194839i | ||||
\(546\) | −5.08599 | − | 46.1632i | −0.217660 | − | 1.97560i | ||||
\(547\) | −25.8056 | − | 7.95998i | −1.10337 | − | 0.340344i | −0.311014 | − | 0.950405i | \(-0.600669\pi\) |
−0.792354 | + | 0.610061i | \(0.791145\pi\) | |||||||
\(548\) | 39.3033 | + | 26.7965i | 1.67895 | + | 1.14469i | ||||
\(549\) | 0.668222 | + | 0.999000i | 0.0285190 | + | 0.0426363i | ||||
\(550\) | −33.5003 | + | 22.8401i | −1.42846 | + | 0.973907i | ||||
\(551\) | 7.46670 | − | 9.36295i | 0.318092 | − | 0.398875i | ||||
\(552\) | −2.77614 | + | 4.37506i | −0.118160 | + | 0.186215i | ||||
\(553\) | 0.789015 | − | 5.30533i | 0.0335523 | − | 0.225606i | ||||
\(554\) | 35.4156 | + | 24.1460i | 1.50467 | + | 1.02586i | ||||
\(555\) | 4.66661 | + | 25.2760i | 0.198087 | + | 1.07291i | ||||
\(556\) | 18.9778 | + | 2.86044i | 0.804837 | + | 0.121310i | ||||
\(557\) | −22.9348 | + | 39.7242i | −0.971778 | + | 1.68317i | −0.281597 | + | 0.959533i | \(0.590864\pi\) |
−0.690181 | + | 0.723636i | \(0.742469\pi\) | |||||||
\(558\) | −17.6905 | + | 18.7303i | −0.748897 | + | 0.792915i | ||||
\(559\) | −39.4758 | + | 49.5011i | −1.66965 | + | 2.09367i | ||||
\(560\) | 24.7515 | + | 19.6594i | 1.04594 | + | 0.830761i | ||||
\(561\) | −12.9988 | − | 6.94391i | −0.548811 | − | 0.293172i | ||||
\(562\) | −33.6096 | + | 5.06584i | −1.41774 | + | 0.213689i | ||||
\(563\) | 20.1662 | − | 9.71151i | 0.849902 | − | 0.409291i | 0.0423611 | − | 0.999102i | \(-0.486512\pi\) |
0.807541 | + | 0.589811i | \(0.200798\pi\) | |||||||
\(564\) | −1.61461 | + | 1.85950i | −0.0679875 | + | 0.0782989i | ||||
\(565\) | 16.0040 | + | 20.0684i | 0.673293 | + | 0.844283i | ||||
\(566\) | −14.2443 | − | 17.8618i | −0.598732 | − | 0.750786i | ||||
\(567\) | 16.4691 | − | 17.1979i | 0.691637 | − | 0.722245i | ||||
\(568\) | −7.01127 | + | 8.79185i | −0.294186 | + | 0.368898i | ||||
\(569\) | 10.8630 | 0.455400 | 0.227700 | − | 0.973731i | \(-0.426879\pi\) | ||||
0.227700 | + | 0.973731i | \(0.426879\pi\) | |||||||
\(570\) | 74.5028 | − | 32.1132i | 3.12058 | − | 1.34507i | ||||
\(571\) | −17.7984 | + | 22.3185i | −0.744839 | + | 0.933999i | −0.999454 | − | 0.0330436i | \(-0.989480\pi\) |
0.254615 | + | 0.967043i | \(0.418051\pi\) | |||||||
\(572\) | 18.4931 | + | 17.1591i | 0.773236 | + | 0.717458i | ||||
\(573\) | 22.6384 | − | 26.0718i | 0.945731 | − | 1.08917i | ||||
\(574\) | −0.459341 | − | 3.00750i | −0.0191725 | − | 0.125531i | ||||
\(575\) | −33.9576 | − | 16.3531i | −1.41613 | − | 0.681971i | ||||
\(576\) | 4.38274 | + | 30.9345i | 0.182614 | + | 1.28894i | ||||
\(577\) | −30.2506 | + | 20.6245i | −1.25935 | + | 0.858611i | −0.994403 | − | 0.105652i | \(-0.966307\pi\) |
−0.264948 | + | 0.964263i | \(0.585355\pi\) | |||||||
\(578\) | 4.59634 | − | 1.41778i | 0.191183 | − | 0.0589720i | ||||
\(579\) | 10.8956 | − | 12.5481i | 0.452806 | − | 0.521480i | ||||
\(580\) | 12.5454 | − | 11.6404i | 0.520918 | − | 0.483342i | ||||
\(581\) | −29.7676 | − | 6.73287i | −1.23497 | − | 0.279327i | ||||
\(582\) | 6.71790 | + | 2.38414i | 0.278466 | + | 0.0988259i | ||||
\(583\) | −4.28477 | − | 18.7728i | −0.177457 | − | 0.777489i | ||||
\(584\) | 1.23478 | − | 0.186113i | 0.0510954 | − | 0.00770139i | ||||
\(585\) | 46.6933 | + | 27.5127i | 1.93053 | + | 1.13751i | ||||
\(586\) | 0.193735 | + | 2.58521i | 0.00800311 | + | 0.106794i | ||||
\(587\) | 10.1816 | − | 17.6351i | 0.420240 | − | 0.727878i | −0.575722 | − | 0.817645i | \(-0.695279\pi\) |
0.995963 | + | 0.0897676i | \(0.0286124\pi\) | |||||||
\(588\) | −15.0706 | + | 23.9578i | −0.621502 | + | 0.988001i | ||||
\(589\) | 12.5036 | + | 21.6568i | 0.515200 | + | 0.892353i | ||||
\(590\) | 55.5993 | − | 37.9070i | 2.28899 | − | 1.56061i | ||||
\(591\) | −0.350665 | − | 0.479565i | −0.0144244 | − | 0.0197267i | ||||
\(592\) | −4.70297 | + | 11.9830i | −0.193291 | + | 0.492497i | ||||
\(593\) | 31.9189 | − | 29.6164i | 1.31075 | − | 1.21620i | 0.350666 | − | 0.936501i | \(-0.385955\pi\) |
0.960087 | − | 0.279700i | \(-0.0902352\pi\) | |||||||
\(594\) | −1.21677 | + | 23.9851i | −0.0499248 | + | 0.984122i | ||||
\(595\) | 37.5326 | + | 2.73868i | 1.53869 | + | 0.112275i | ||||
\(596\) | 4.84523 | + | 1.49456i | 0.198468 | + | 0.0612194i | ||||
\(597\) | −0.288285 | − | 0.835727i | −0.0117987 | − | 0.0342040i | ||||
\(598\) | −9.68900 | + | 42.4503i | −0.396213 | + | 1.73592i | ||||
\(599\) | −37.9488 | − | 18.2752i | −1.55054 | − | 0.746703i | −0.554221 | − | 0.832370i | \(-0.686984\pi\) |
−0.996324 | + | 0.0856664i | \(0.972698\pi\) | |||||||
\(600\) | 10.2314 | − | 2.69299i | 0.417695 | − | 0.109941i | ||||
\(601\) | 30.6368 | − | 20.8878i | 1.24970 | − | 0.852032i | 0.256286 | − | 0.966601i | \(-0.417501\pi\) |
0.993415 | + | 0.114570i | \(0.0365489\pi\) | |||||||
\(602\) | 69.8161 | − | 16.0792i | 2.84549 | − | 0.655337i | ||||
\(603\) | 10.9169 | − | 34.3099i | 0.444573 | − | 1.39721i | ||||
\(604\) | −33.2240 | + | 10.2483i | −1.35187 | + | 0.416996i | ||||
\(605\) | 22.2810 | + | 3.35832i | 0.905851 | + | 0.136535i | ||||
\(606\) | −13.2013 | − | 9.83364i | −0.536268 | − | 0.399464i | ||||
\(607\) | 16.6660 | − | 28.8663i | 0.676451 | − | 1.17165i | −0.299591 | − | 0.954068i | \(-0.596850\pi\) |
0.976042 | − | 0.217580i | \(-0.0698163\pi\) | |||||||
\(608\) | 48.5258 | + | 7.31409i | 1.96798 | + | 0.296626i | ||||
\(609\) | −6.84693 | − | 5.92174i | −0.277452 | − | 0.239961i | ||||
\(610\) | 3.06081 | − | 0.461343i | 0.123929 | − | 0.0186792i | ||||
\(611\) | −1.08317 | + | 2.75988i | −0.0438205 | + | 0.111653i | ||||
\(612\) | 18.0820 | + | 19.8373i | 0.730922 | + | 0.801877i | ||||
\(613\) | 3.09933 | − | 41.3576i | 0.125181 | − | 1.67042i | −0.482240 | − | 0.876039i | \(-0.660177\pi\) |
0.607421 | − | 0.794380i | \(-0.292204\pi\) | |||||||
\(614\) | 25.3601 | + | 31.8006i | 1.02345 | + | 1.28337i | ||||
\(615\) | 3.13150 | + | 1.67283i | 0.126274 | + | 0.0674550i | ||||
\(616\) | −0.617472 | − | 4.04286i | −0.0248787 | − | 0.162891i | ||||
\(617\) | −9.46900 | − | 1.42722i | −0.381208 | − | 0.0574578i | −0.0443566 | − | 0.999016i | \(-0.514124\pi\) |
−0.336851 | + | 0.941558i | \(0.609362\pi\) | |||||||
\(618\) | −2.60119 | + | 22.2020i | −0.104635 | + | 0.893094i | ||||
\(619\) | 4.67305 | + | 8.09396i | 0.187826 | + | 0.325324i | 0.944525 | − | 0.328439i | \(-0.106523\pi\) |
−0.756699 | + | 0.653763i | \(0.773189\pi\) | |||||||
\(620\) | 13.0560 | + | 33.2663i | 0.524343 | + | 1.33601i | ||||
\(621\) | −19.8744 | + | 10.1684i | −0.797531 | + | 0.408044i | ||||
\(622\) | 20.6030 | − | 9.92190i | 0.826107 | − | 0.397832i | ||||
\(623\) | 1.38305 | − | 1.49645i | 0.0554106 | − | 0.0599538i | ||||
\(624\) | 12.5766 | + | 24.0533i | 0.503466 | + | 0.962903i | ||||
\(625\) | 2.95733 | + | 7.53515i | 0.118293 | + | 0.301406i | ||||
\(626\) | −3.49364 | − | 1.68245i | −0.139634 | − | 0.0672442i | ||||
\(627\) | 21.9682 | + | 7.79639i | 0.877325 | + | 0.311358i | ||||
\(628\) | 30.6616 | − | 14.7658i | 1.22353 | − | 0.589221i | ||||
\(629\) | 3.41032 | + | 14.9416i | 0.135978 | + | 0.595760i | ||||
\(630\) | −22.0106 | − | 57.2399i | −0.876924 | − | 2.28049i | ||||
\(631\) | −5.59522 | + | 24.5143i | −0.222742 | + | 0.975898i | 0.732661 | + | 0.680594i | \(0.238278\pi\) |
−0.955403 | + | 0.295304i | \(0.904579\pi\) | |||||||
\(632\) | −0.314109 | − | 1.37620i | −0.0124946 | − | 0.0547423i | ||||
\(633\) | 1.20175 | + | 36.4357i | 0.0477655 | + | 1.44819i | ||||
\(634\) | 8.34471 | + | 36.5606i | 0.331411 | + | 1.45201i | ||||
\(635\) | −39.2596 | + | 26.7668i | −1.55797 | + | 1.06221i | ||||
\(636\) | −4.08103 | + | 34.8328i | −0.161823 | + | 1.38121i | ||||
\(637\) | −7.45210 | + | 33.2503i | −0.295263 | + | 1.31742i | ||||
\(638\) | 9.13012 | 0.361465 | ||||||||
\(639\) | −45.2558 | + | 17.3006i | −1.79029 | + | 0.684400i | ||||
\(640\) | 19.4778 | + | 6.00812i | 0.769929 | + | 0.237492i | ||||
\(641\) | 3.43179 | − | 8.74406i | 0.135548 | − | 0.345370i | −0.846943 | − | 0.531684i | \(-0.821559\pi\) |
0.982490 | + | 0.186315i | \(0.0596545\pi\) | |||||||
\(642\) | 15.4537 | − | 34.9964i | 0.609907 | − | 1.38120i | ||||
\(643\) | −33.2821 | + | 10.2662i | −1.31252 | + | 0.404858i | −0.870509 | − | 0.492153i | \(-0.836210\pi\) |
−0.442009 | + | 0.897011i | \(0.645734\pi\) | |||||||
\(644\) | 20.7142 | − | 16.5855i | 0.816252 | − | 0.653562i | ||||
\(645\) | −33.7719 | + | 76.4800i | −1.32977 | + | 3.01140i | ||||
\(646\) | 43.5837 | − | 20.9888i | 1.71478 | − | 0.825793i | ||||
\(647\) | −6.40860 | − | 5.94631i | −0.251948 | − | 0.233774i | 0.544080 | − | 0.839033i | \(-0.316879\pi\) |
−0.796028 | + | 0.605260i | \(0.793069\pi\) | |||||||
\(648\) | 2.39246 | − | 5.79201i | 0.0939845 | − | 0.227532i | ||||
\(649\) | 19.1189 | + | 2.88172i | 0.750484 | + | 0.113117i | ||||
\(650\) | 73.4577 | − | 50.0826i | 2.88125 | − | 1.96440i | ||||
\(651\) | 16.7342 | − | 8.79152i | 0.655866 | − | 0.344567i | ||||
\(652\) | −10.4385 | − | 7.11685i | −0.408803 | − | 0.278717i | ||||
\(653\) | 27.5240 | + | 25.5386i | 1.07710 | + | 0.999402i | 0.999997 | + | 0.00237882i | \(0.000757202\pi\) |
0.0771020 | + | 0.997023i | \(0.475433\pi\) | |||||||
\(654\) | −10.5557 | − | 10.6496i | −0.412760 | − | 0.416432i | ||||
\(655\) | −21.7330 | − | 37.6427i | −0.849179 | − | 1.47082i | ||||
\(656\) | 0.889042 | + | 1.53987i | 0.0347113 | + | 0.0601217i | ||||
\(657\) | 4.99061 | + | 2.00987i | 0.194702 | + | 0.0784124i | ||||
\(658\) | 2.90211 | − | 1.68313i | 0.113136 | − | 0.0656152i | ||||
\(659\) | 7.55721 | − | 1.13907i | 0.294387 | − | 0.0443717i | −0.000188158 | − | 1.00000i | \(-0.500060\pi\) |
0.294575 | + | 0.955628i | \(0.404822\pi\) | |||||||
\(660\) | 29.3826 | + | 15.6960i | 1.14372 | + | 0.610967i | ||||
\(661\) | 3.31625 | − | 1.59702i | 0.128987 | − | 0.0621169i | −0.368277 | − | 0.929716i | \(-0.620052\pi\) |
0.497264 | + | 0.867599i | \(0.334338\pi\) | |||||||
\(662\) | 25.6643 | − | 12.3593i | 0.997473 | − | 0.480357i | ||||
\(663\) | 28.5031 | + | 15.2262i | 1.10697 | + | 0.591338i | ||||
\(664\) | −7.94228 | + | 1.19711i | −0.308220 | + | 0.0464567i | ||||
\(665\) | −59.3495 | + | 4.56467i | −2.30147 | + | 0.177010i | ||||
\(666\) | 19.6635 | − | 15.3981i | 0.761944 | − | 0.596666i | ||||
\(667\) | 4.24355 | + | 7.35004i | 0.164311 | + | 0.284595i | ||||
\(668\) | 3.64319 | + | 6.31019i | 0.140959 | + | 0.244149i | ||||
\(669\) | −2.18918 | − | 2.20866i | −0.0846387 | − | 0.0853917i | ||||
\(670\) | −67.9748 | − | 63.0714i | −2.62610 | − | 2.43666i | ||||
\(671\) | 0.734849 | + | 0.501011i | 0.0283685 | + | 0.0193413i | ||||
\(672\) | 6.98639 | − | 36.4315i | 0.269506 | − | 1.40537i | ||||
\(673\) | −17.8575 | + | 12.1750i | −0.688354 | + | 0.469312i | −0.856296 | − | 0.516485i | \(-0.827240\pi\) |
0.167942 | + | 0.985797i | \(0.446288\pi\) | |||||||
\(674\) | −46.0840 | − | 6.94604i | −1.77509 | − | 0.267552i | ||||
\(675\) | 43.8696 | + | 12.3818i | 1.68854 | + | 0.476577i | ||||
\(676\) | −18.3042 | − | 16.9838i | −0.704006 | − | 0.653222i | ||||
\(677\) | 2.73613 | − | 1.31765i | 0.105158 | − | 0.0506414i | −0.380565 | − | 0.924754i | \(-0.624271\pi\) |
0.485723 | + | 0.874113i | \(0.338556\pi\) | |||||||
\(678\) | 10.0750 | − | 22.8159i | 0.386928 | − | 0.876239i | ||||
\(679\) | −4.09549 | − | 3.25292i | −0.157170 | − | 0.124836i | ||||
\(680\) | 9.46392 | − | 2.91923i | 0.362925 | − | 0.111947i | ||||
\(681\) | −0.868640 | + | 1.96713i | −0.0332864 | + | 0.0753805i | ||||
\(682\) | −6.96529 | + | 17.7473i | −0.266715 | + | 0.679578i | ||||
\(683\) | 8.66506 | + | 2.67282i | 0.331559 | + | 0.102272i | 0.456065 | − | 0.889946i | \(-0.349258\pi\) |
−0.124506 | + | 0.992219i | \(0.539735\pi\) | |||||||
\(684\) | −32.9583 | − | 26.7644i | −1.26019 | − | 1.02336i | ||||
\(685\) | 75.6216 | 2.88935 | ||||||||
\(686\) | 30.0039 | − | 24.2174i | 1.14555 | − | 0.924625i | ||||
\(687\) | −1.73592 | + | 14.8166i | −0.0662294 | + | 0.565288i | ||||
\(688\) | −34.5957 | + | 23.5870i | −1.31895 | + | 0.899245i | ||||
\(689\) | 9.39540 | + | 41.1639i | 0.357936 | + | 1.56822i | ||||
\(690\) | 1.89535 | + | 57.4645i | 0.0721546 | + | 2.18764i | ||||
\(691\) | 8.80947 | + | 38.5968i | 0.335128 | + | 1.46829i | 0.809058 | + | 0.587729i | \(0.199978\pi\) |
−0.473930 | + | 0.880562i | \(0.657165\pi\) | |||||||
\(692\) | −2.67574 | + | 11.7232i | −0.101716 | + | 0.445648i | ||||
\(693\) | 6.55052 | − | 16.3578i | 0.248834 | − | 0.621382i | ||||
\(694\) | 2.25530 | + | 9.88114i | 0.0856102 | + | 0.375083i | ||||
\(695\) | 27.4888 | − | 13.2379i | 1.04271 | − | 0.502143i | ||||
\(696\) | −2.24519 | − | 0.796806i | −0.0851039 | − | 0.0302029i | ||||
\(697\) | 1.90727 | + | 0.918494i | 0.0722431 | + | 0.0347905i | ||||
\(698\) | −3.29367 | − | 8.39214i | −0.124667 | − | 0.317647i | ||||
\(699\) | −9.32052 | − | 17.8259i | −0.352534 | − | 0.674239i | ||||
\(700\) | −54.0387 | − | 3.94311i | −2.04247 | − | 0.149035i | ||||
\(701\) | −4.72790 | + | 2.27684i | −0.178570 | + | 0.0859950i | −0.521033 | − | 0.853536i | \(-0.674453\pi\) |
0.342463 | + | 0.939531i | \(0.388739\pi\) | |||||||
\(702\) | 2.66807 | − | 52.5933i | 0.100700 | − | 1.98501i | ||||
\(703\) | −8.85644 | − | 22.5658i | −0.334027 | − | 0.851086i | ||||
\(704\) | 11.5600 | + | 20.0225i | 0.435685 | + | 0.754628i | ||||
\(705\) | −0.455563 | + | 3.88837i | −0.0171575 | + | 0.146444i | ||||
\(706\) | −1.10173 | − | 0.166059i | −0.0414641 | − | 0.00624971i | ||||
\(707\) | 6.82320 | + | 9.96576i | 0.256613 | + | 0.374801i | ||||
\(708\) | −31.0615 | − | 16.5929i | −1.16736 | − | 0.623598i | ||||
\(709\) | −24.3814 | − | 30.5733i | −0.915662 | − | 1.14820i | −0.988555 | − | 0.150864i | \(-0.951794\pi\) |
0.0728925 | − | 0.997340i | \(-0.476777\pi\) | |||||||
\(710\) | −9.32485 | + | 124.431i | −0.349955 | + | 4.66983i | ||||
\(711\) | 1.84406 | − | 5.79554i | 0.0691578 | − | 0.217350i | ||||
\(712\) | 0.195921 | − | 0.499200i | 0.00734247 | − | 0.0187083i | ||||
\(713\) | −17.5245 | + | 2.64139i | −0.656298 | + | 0.0989210i | ||||
\(714\) | −14.5398 | − | 33.5514i | −0.544140 | − | 1.25563i | ||||
\(715\) | 39.6570 | + | 5.97734i | 1.48309 | + | 0.223540i | ||||
\(716\) | −17.4854 | + | 30.2855i | −0.653458 | + | 1.13182i | ||||
\(717\) | −33.1706 | − | 24.7087i | −1.23878 | − | 0.922763i | ||||
\(718\) | −63.8667 | − | 9.62635i | −2.38348 | − | 0.359252i | ||||
\(719\) | 41.0609 | − | 12.6656i | 1.53131 | − | 0.472347i | 0.589296 | − | 0.807917i | \(-0.299405\pi\) |
0.942015 | + | 0.335570i | \(0.108929\pi\) | |||||||
\(720\) | 24.1445 | + | 26.4884i | 0.899814 | + | 0.987164i | ||||
\(721\) | 7.08719 | − | 14.7908i | 0.263941 | − | 0.550839i | ||||
\(722\) | −30.5369 | + | 20.8197i | −1.13647 | + | 0.774829i | ||||
\(723\) | 39.5761 | − | 10.4167i | 1.47185 | − | 0.387403i | ||||
\(724\) | 42.0997 | + | 20.2741i | 1.56462 | + | 0.753483i | ||||
\(725\) | 3.85615 | − | 16.8949i | 0.143214 | − | 0.627461i | ||||
\(726\) | −7.13966 | − | 20.6976i | −0.264978 | − | 0.768159i | ||||
\(727\) | 41.2682 | + | 12.7295i | 1.53055 | + | 0.472112i | 0.941792 | − | 0.336196i | \(-0.109140\pi\) |
0.588759 | + | 0.808309i | \(0.299617\pi\) | |||||||
\(728\) | 1.35396 | + | 8.86495i | 0.0501811 | + | 0.328557i | ||||
\(729\) | 21.5493 | − | 16.2674i | 0.798122 | − | 0.602496i | ||||
\(730\) | 10.1573 | − | 9.42463i | 0.375940 | − | 0.348821i | ||||
\(731\) | −18.2124 | + | 46.4043i | −0.673608 | + | 1.71633i | ||||
\(732\) | −0.956141 | − | 1.30761i | −0.0353400 | − | 0.0483306i | ||||
\(733\) | 2.41421 | − | 1.64598i | 0.0891708 | − | 0.0607956i | −0.517914 | − | 0.855433i | \(-0.673291\pi\) |
0.607085 | + | 0.794637i | \(0.292339\pi\) | |||||||
\(734\) | −29.4622 | − | 51.0300i | −1.08747 | − | 1.88355i | ||||
\(735\) | 1.65961 | + | 44.9645i | 0.0612155 | + | 1.65854i | ||||
\(736\) | −17.3892 | + | 30.1191i | −0.640976 | + | 1.11020i | ||||
\(737\) | −1.99107 | − | 26.5690i | −0.0733420 | − | 0.978681i | ||||
\(738\) | 0.0305572 | − | 3.44960i | 0.00112483 | − | 0.126982i | ||||
\(739\) | −23.8243 | + | 3.59093i | −0.876390 | + | 0.132095i | −0.571804 | − | 0.820390i | \(-0.693756\pi\) |
−0.304586 | + | 0.952485i | \(0.598518\pi\) | |||||||
\(740\) | −7.70869 | − | 33.7740i | −0.283377 | − | 1.24156i | ||||
\(741\) | −48.1706 | − | 17.0955i | −1.76959 | − | 0.628018i | ||||
\(742\) | 20.6453 | − | 43.0863i | 0.757913 | − | 1.58175i | ||||
\(743\) | 13.0239 | − | 12.0844i | 0.477802 | − | 0.443335i | −0.404138 | − | 0.914698i | \(-0.632428\pi\) |
0.881939 | + | 0.471363i | \(0.156238\pi\) | |||||||
\(744\) | 3.26168 | − | 3.75637i | 0.119579 | − | 0.137715i | ||||
\(745\) | 7.70260 | − | 2.37594i | 0.282201 | − | 0.0870476i | ||||
\(746\) | −5.01618 | + | 3.41997i | −0.183655 | + | 0.125214i | ||||
\(747\) | −32.1004 | − | 12.9278i | −1.17449 | − | 0.473003i | ||||
\(748\) | 17.8958 | + | 8.61816i | 0.654335 | + | 0.315111i | ||||
\(749\) | −19.0514 | + | 20.6135i | −0.696124 | + | 0.753200i | ||||
\(750\) | 33.1003 | − | 38.1205i | 1.20865 | − | 1.39196i | ||||
\(751\) | 9.79495 | + | 9.08839i | 0.357423 | + | 0.331640i | 0.838362 | − | 0.545114i | \(-0.183514\pi\) |
−0.480939 | + | 0.876754i | \(0.659704\pi\) | |||||||
\(752\) | −1.22249 | + | 1.53295i | −0.0445795 | + | 0.0559009i | ||||
\(753\) | 15.7872 | − | 6.80483i | 0.575319 | − | 0.247982i | ||||
\(754\) | −20.0200 | −0.729086 | ||||||||
\(755\) | −34.4620 | + | 43.2140i | −1.25420 | + | 1.57272i | ||||
\(756\) | −21.2083 | + | 24.0872i | −0.771337 | + | 0.876043i | ||||
\(757\) | −1.18430 | − | 1.48506i | −0.0430441 | − | 0.0539756i | 0.759844 | − | 0.650106i | \(-0.225276\pi\) |
−0.802888 | + | 0.596130i | \(0.796704\pi\) | |||||||
\(758\) | 11.4158 | + | 14.3149i | 0.414639 | + | 0.519941i | ||||
\(759\) | −10.8312 | + | 12.4740i | −0.393149 | + | 0.452776i | ||||
\(760\) | −14.1141 | + | 6.79700i | −0.511973 | + | 0.246553i | ||||
\(761\) | −11.3767 | + | 1.71477i | −0.412407 | + | 0.0621603i | −0.351969 | − | 0.936012i | \(-0.614488\pi\) |
−0.0604376 | + | 0.998172i | \(0.519250\pi\) | |||||||
\(762\) | 40.7238 | + | 21.7544i | 1.47527 | + | 0.788080i | ||||
\(763\) | 4.79283 | + | 9.90270i | 0.173512 | + | 0.358502i | ||||
\(764\) | −29.0157 | + | 36.3846i | −1.04975 | + | 1.31635i | ||||
\(765\) | 41.5155 | + | 9.86333i | 1.50100 | + | 0.356610i | ||||
\(766\) | −27.8069 | + | 48.1629i | −1.00470 | + | 1.74020i | ||||
\(767\) | −41.9230 | − | 6.31887i | −1.51375 | − | 0.228161i | ||||
\(768\) | 2.95408 | + | 16.0003i | 0.106596 | + | 0.577361i | ||||
\(769\) | −16.7066 | − | 11.3904i | −0.602457 | − | 0.410748i | 0.223320 | − | 0.974745i | \(-0.428311\pi\) |
−0.825777 | + | 0.563997i | \(0.809263\pi\) | |||||||
\(770\) | −30.9321 | − | 33.2061i | −1.11472 | − | 1.19666i | ||||
\(771\) | 3.50523 | − | 5.52407i | 0.126238 | − | 0.198945i | ||||
\(772\) | −13.9650 | + | 17.5115i | −0.502610 | + | 0.630253i | ||||
\(773\) | 24.2863 | − | 16.5581i | 0.873517 | − | 0.595554i | −0.0414240 | − | 0.999142i | \(-0.513189\pi\) |
0.914941 | + | 0.403588i | \(0.132237\pi\) | |||||||
\(774\) | 81.0598 | − | 5.35300i | 2.91363 | − | 0.192409i | ||||
\(775\) | 29.8987 | + | 20.3846i | 1.07399 | + | 0.732237i | ||||
\(776\) | −1.31530 | − | 0.405716i | −0.0472165 | − | 0.0145643i | ||||
\(777\) | −17.3109 | + | 6.00944i | −0.621026 | + | 0.215587i | ||||
\(778\) | −42.0347 | + | 12.9660i | −1.50702 | + | 0.464853i | ||||
\(779\) | −3.19966 | − | 0.986963i | −0.114640 | − | 0.0353616i | ||||
\(780\) | −64.4285 | − | 34.4174i | −2.30691 | − | 1.23234i | ||||
\(781\) | −26.2820 | + | 24.3861i | −0.940445 | + | 0.872605i | ||||
\(782\) | 2.56194 | + | 34.1867i | 0.0916149 | + | 1.22252i | ||||
\(783\) | −6.59147 | − | 7.86851i | −0.235560 | − | 0.281198i | ||||
\(784\) | −11.1908 | + | 19.5597i | −0.399670 | + | 0.698561i | ||||
\(785\) | 27.0506 | − | 46.8531i | 0.965478 | − | 1.67226i | ||||
\(786\) | −22.6284 | + | 35.6614i | −0.807129 | + | 1.27200i | ||||
\(787\) | −5.36191 | − | 23.4921i | −0.191132 | − | 0.837402i | −0.976005 | − | 0.217746i | \(-0.930129\pi\) |
0.784874 | − | 0.619656i | \(-0.212728\pi\) | |||||||
\(788\) | 0.499239 | + | 0.626026i | 0.0177846 | + | 0.0223012i | ||||
\(789\) | −7.72528 | + | 17.4947i | −0.275027 | + | 0.622829i | ||||
\(790\) | −11.4821 | − | 10.6539i | −0.408516 | − | 0.379048i | ||||
\(791\) | −12.4206 | + | 13.4389i | −0.441624 | + | 0.477833i | ||||
\(792\) | 0.0410767 | − | 4.63715i | 0.00145960 | − | 0.164774i | ||||
\(793\) | −1.61134 | − | 1.09859i | −0.0572202 | − | 0.0390121i | ||||
\(794\) | −72.1148 | + | 22.2445i | −2.55926 | + | 0.789426i | ||||
\(795\) | 25.8333 | + | 49.4074i | 0.916212 | + | 1.75230i | ||||
\(796\) | 0.435311 | + | 1.10915i | 0.0154292 | + | 0.0393129i | ||||
\(797\) | 1.98135 | + | 26.4393i | 0.0701831 | + | 0.936529i | 0.915514 | + | 0.402286i | \(0.131784\pi\) |
−0.845331 | + | 0.534243i | \(0.820597\pi\) | |||||||
\(798\) | 30.6511 | + | 49.0492i | 1.08504 | + | 1.73632i | ||||
\(799\) | −0.174446 | + | 2.32782i | −0.00617145 | + | 0.0823523i | ||||
\(800\) | 67.8576 | − | 20.9313i | 2.39913 | − | 0.740033i | ||||
\(801\) | 1.81913 | − | 1.42453i | 0.0642757 | − | 0.0503332i | ||||
\(802\) | 7.74764 | − | 13.4193i | 0.273579 | − | 0.473852i | ||||
\(803\) | 3.98128 | 0.140496 | ||||||||
\(804\) | −12.7672 | + | 46.8175i | −0.450265 | + | 1.65113i | ||||
\(805\) | 12.3552 | − | 40.3351i | 0.435462 | − | 1.42162i | ||||
\(806\) | 15.2731 | − | 38.9152i | 0.537972 | − | 1.37073i | ||||
\(807\) | 22.1641 | − | 13.7901i | 0.780214 | − | 0.485435i | ||||
\(808\) | 2.62626 | + | 1.79056i | 0.0923916 | + | 0.0629915i | ||||
\(809\) | 0.0113002 | − | 0.150790i | 0.000397292 | − | 0.00530150i | −0.997002 | − | 0.0773806i | \(-0.975344\pi\) |
0.997399 | + | 0.0720791i | \(0.0229634\pi\) | |||||||
\(810\) | −14.2701 | − | 68.0571i | −0.501399 | − | 2.39128i | ||||
\(811\) | −14.7374 | − | 18.4801i | −0.517500 | − | 0.648925i | 0.452576 | − | 0.891726i | \(-0.350505\pi\) |
−0.970076 | + | 0.242801i | \(0.921934\pi\) | |||||||
\(812\) | 9.55393 | + | 7.58840i | 0.335277 | + | 0.266301i | ||||
\(813\) | −51.6076 | + | 13.5835i | −1.80996 | + | 0.476395i | ||||
\(814\) | 9.24075 | − | 16.0055i | 0.323888 | − | 0.560991i | ||||
\(815\) | −20.0842 | −0.703520 | ||||||||
\(816\) | 15.0444 | + | 15.1782i | 0.526658 | + | 0.531344i | ||||
\(817\) | 17.5459 | − | 76.8735i | 0.613852 | − | 2.68946i | ||||
\(818\) | −12.5942 | + | 6.06505i | −0.440346 | + | 0.212059i | ||||
\(819\) | −14.3636 | + | 35.8685i | −0.501906 | + | 1.25335i | ||||
\(820\) | −4.31120 | − | 2.07617i | −0.150554 | − | 0.0725029i | ||||
\(821\) | −2.56494 | + | 3.21634i | −0.0895172 | + | 0.112251i | −0.824573 | − | 0.565756i | \(-0.808585\pi\) |
0.735056 | + | 0.678007i | \(0.237156\pi\) | |||||||
\(822\) | −34.0466 | − | 65.1158i | −1.18751 | − | 2.27118i | ||||
\(823\) | −2.38185 | + | 10.4356i | −0.0830262 | + | 0.363761i | −0.999325 | − | 0.0367336i | \(-0.988305\pi\) |
0.916299 | + | 0.400495i | \(0.131162\pi\) | |||||||
\(824\) | 0.322563 | − | 4.30430i | 0.0112370 | − | 0.149948i | ||||
\(825\) | 33.5359 | − | 3.62825i | 1.16757 | − | 0.126319i | ||||
\(826\) | 32.6995 | + | 35.1034i | 1.13776 | + | 1.22140i | ||||
\(827\) | 4.38209 | − | 19.1992i | 0.152380 | − | 0.667621i | −0.839809 | − | 0.542882i | \(-0.817333\pi\) |
0.992189 | − | 0.124740i | \(-0.0398096\pi\) | |||||||
\(828\) | 26.1900 | − | 14.8131i | 0.910166 | − | 0.514790i | ||||
\(829\) | −2.50755 | + | 0.377953i | −0.0870909 | + | 0.0131268i | −0.192443 | − | 0.981308i | \(-0.561641\pi\) |
0.105352 | + | 0.994435i | \(0.466403\pi\) | |||||||
\(830\) | −65.3336 | + | 60.6208i | −2.26776 | + | 2.10418i | ||||
\(831\) | −16.5231 | − | 31.6012i | −0.573179 | − | 1.09623i | ||||
\(832\) | −25.3482 | − | 43.9043i | −0.878789 | − | 1.52211i | ||||
\(833\) | 2.10983 | + | 26.7458i | 0.0731013 | + | 0.926689i | ||||
\(834\) | −23.7750 | − | 17.7099i | −0.823259 | − | 0.613244i | ||||
\(835\) | 10.4363 | + | 5.02583i | 0.361161 | + | 0.173926i | ||||
\(836\) | −30.0221 | − | 9.26060i | −1.03834 | − | 0.320284i | ||||
\(837\) | 20.3235 | − | 6.80979i | 0.702483 | − | 0.235381i | ||||
\(838\) | 48.0267 | − | 44.5623i | 1.65906 | − | 1.53938i | ||||
\(839\) | 2.65934 | + | 2.46750i | 0.0918104 | + | 0.0851876i | 0.724743 | − | 0.689019i | \(-0.241958\pi\) |
−0.632933 | + | 0.774207i | \(0.718149\pi\) | |||||||
\(840\) | 4.70857 | + | 10.8652i | 0.162461 | + | 0.374887i | ||||
\(841\) | 18.3979 | − | 17.0708i | 0.634412 | − | 0.588648i | ||||
\(842\) | −1.88786 | + | 25.1917i | −0.0650598 | + | 0.868163i | ||||
\(843\) | 26.6487 | + | 9.45747i | 0.917830 | + | 0.325733i | ||||
\(844\) | −3.67183 | − | 48.9971i | −0.126390 | − | 1.68655i | ||||
\(845\) | −39.2518 | − | 5.91626i | −1.35030 | − | 0.203526i | ||||
\(846\) | 3.55328 | − | 1.35836i | 0.122164 | − | 0.0467014i | ||||
\(847\) | 0.0314978 | + | 16.0640i | 0.00108228 | + | 0.551965i | ||||
\(848\) | −2.08667 | + | 27.8447i | −0.0716567 | + | 0.956192i | ||||
\(849\) | 3.45081 | + | 18.6908i | 0.118431 | + | 0.641465i | ||||
\(850\) | 43.6442 | − | 54.7281i | 1.49698 | − | 1.87716i | ||||
\(851\) | 17.1799 | 0.588919 | ||||||||
\(852\) | 59.9671 | − | 25.8478i | 2.05444 | − | 0.885533i | ||||
\(853\) | −7.88497 | − | 20.0906i | −0.269976 | − | 0.687888i | −0.999990 | − | 0.00445601i | \(-0.998582\pi\) |
0.730014 | − | 0.683432i | \(-0.239514\pi\) | |||||||
\(854\) | 0.654590 | + | 2.10745i | 0.0223996 | + | 0.0721154i | ||||
\(855\) | −67.2587 | − | 5.63988i | −2.30020 | − | 0.192880i | ||||
\(856\) | −2.69881 | + | 6.87645i | −0.0922434 | + | 0.235032i | ||||
\(857\) | −10.5538 | − | 7.19546i | −0.360511 | − | 0.245792i | 0.369495 | − | 0.929233i | \(-0.379531\pi\) |
−0.730006 | + | 0.683440i | \(0.760483\pi\) | |||||||
\(858\) | −12.7076 | − | 36.8388i | −0.433830 | − | 1.25766i | ||||
\(859\) | 3.54052 | − | 0.533648i | 0.120801 | − | 0.0182078i | −0.0883634 | − | 0.996088i | \(-0.528164\pi\) |
0.209165 | + | 0.977880i | \(0.432926\pi\) | |||||||
\(860\) | 41.1673 | − | 104.892i | 1.40379 | − | 3.57680i | ||||
\(861\) | −0.841860 | + | 2.38698i | −0.0286905 | + | 0.0813481i | ||||
\(862\) | −5.08126 | − | 12.9468i | −0.173068 | − | 0.440971i | ||||
\(863\) | −18.3297 | − | 31.7481i | −0.623952 | − | 1.08072i | −0.988743 | − | 0.149627i | \(-0.952193\pi\) |
0.364791 | − | 0.931090i | \(-0.381141\pi\) | |||||||
\(864\) | 14.4185 | − | 39.5137i | 0.490528 | − | 1.34428i | ||||
\(865\) | 6.98384 | + | 17.7945i | 0.237458 | + | 0.605032i | ||||
\(866\) | −7.66566 | + | 33.5854i | −0.260490 | + | 1.14128i | ||||
\(867\) | −3.92858 | − | 0.761366i | −0.133422 | − | 0.0258573i | ||||
\(868\) | −22.0391 | + | 12.7819i | −0.748055 | + | 0.433847i | ||||
\(869\) | −0.336327 | − | 4.48797i | −0.0114091 | − | 0.152244i | ||||
\(870\) | −25.5651 | + | 6.72893i | −0.866737 | + | 0.228132i | ||||
\(871\) | 4.36591 | + | 58.2590i | 0.147933 | + | 1.97403i | ||||
\(872\) | 2.12244 | + | 1.96934i | 0.0718749 | + | 0.0666902i | ||||
\(873\) | −3.99506 | − | 4.38288i | −0.135212 | − | 0.148338i | ||||
\(874\) | −12.0665 | − | 52.8667i | −0.408155 | − | 1.78824i | ||||
\(875\) | −32.0426 | + | 18.5836i | −1.08324 | + | 0.628242i | ||||
\(876\) | −6.83371 | − | 2.42524i | −0.230890 | − | 0.0819414i | ||||
\(877\) | 45.9925 | + | 14.1868i | 1.55306 | + | 0.479055i | 0.948305 | − | 0.317360i | \(-0.102796\pi\) |
0.604751 | + | 0.796414i | \(0.293272\pi\) | |||||||
\(878\) | 12.2372 | + | 15.3450i | 0.412987 | + | 0.517869i | ||||
\(879\) | 0.871226 | − | 1.97298i | 0.0293857 | − | 0.0665471i | ||||
\(880\) | 23.8959 | + | 11.5076i | 0.805530 | + | 0.387923i | ||||
\(881\) | 4.22424 | 0.142318 | 0.0711591 | − | 0.997465i | \(-0.477330\pi\) | ||||
0.0711591 | + | 0.997465i | \(0.477330\pi\) | |||||||
\(882\) | 37.9706 | − | 21.6731i | 1.27854 | − | 0.729772i | ||||
\(883\) | 14.2832 | 0.480667 | 0.240333 | − | 0.970690i | \(-0.422743\pi\) | ||||
0.240333 | + | 0.970690i | \(0.422743\pi\) | |||||||
\(884\) | −39.2409 | − | 18.8974i | −1.31981 | − | 0.635589i | ||||
\(885\) | −55.6584 | + | 6.02168i | −1.87094 | + | 0.202417i | ||||
\(886\) | 26.6728 | + | 33.4466i | 0.896090 | + | 1.12366i | ||||
\(887\) | −49.2463 | − | 15.1905i | −1.65353 | − | 0.510046i | −0.678968 | − | 0.734168i | \(-0.737572\pi\) |
−0.974561 | + | 0.224122i | \(0.928049\pi\) | |||||||
\(888\) | −3.66923 | + | 3.12945i | −0.123131 | + | 0.105018i | ||||
\(889\) | −23.0897 | − | 24.7871i | −0.774403 | − | 0.831332i | ||||
\(890\) | −1.32414 | − | 5.80143i | −0.0443852 | − | 0.194464i | ||||
\(891\) | 10.2949 | − | 17.1234i | 0.344893 | − | 0.573657i | ||||
\(892\) | 3.07247 | + | 2.85083i | 0.102874 | + | 0.0954529i | ||||
\(893\) | −0.275929 | − | 3.68202i | −0.00923361 | − | 0.123214i | ||||
\(894\) | −5.51375 | − | 5.56281i | −0.184407 | − | 0.186048i | ||||
\(895\) | 4.15454 | + | 55.4385i | 0.138871 | + | 1.85310i | ||||
\(896\) | −2.13767 | + | 14.3737i | −0.0714146 | + | 0.480191i | ||||
\(897\) | 23.7501 | − | 27.3522i | 0.792994 | − | 0.913263i | ||||
\(898\) | −11.6359 | + | 50.9801i | −0.388294 | + | 1.70123i | ||||
\(899\) | −2.97700 | − | 7.58527i | −0.0992884 | − | 0.252983i | ||||
\(900\) | −59.7733 | − | 14.2011i | −1.99244 | − | 0.473368i | ||||
\(901\) | 16.6219 | + | 28.7899i | 0.553755 | + | 0.959132i | ||||
\(902\) | −0.932641 | − | 2.37633i | −0.0310536 | − | 0.0791232i | ||||
\(903\) | −57.5343 | − | 15.5686i | −1.91462 | − | 0.518090i | ||||
\(904\) | −1.75949 | + | 4.48310i | −0.0585196 | + | 0.149106i | ||||
\(905\) | 73.4538 | − | 11.0714i | 2.44169 | − | 0.368025i | ||||
\(906\) | 52.7261 | + | 10.2184i | 1.75171 | + | 0.339484i | ||||
\(907\) | 17.1037 | + | 11.6611i | 0.567918 | + | 0.387200i | 0.812966 | − | 0.582311i | \(-0.197851\pi\) |
−0.245048 | + | 0.969511i | \(0.578804\pi\) | |||||||
\(908\) | 1.05886 | − | 2.69792i | 0.0351394 | − | 0.0895337i | ||||
\(909\) | 5.83247 | + | 12.3908i | 0.193451 | + | 0.410978i | ||||
\(910\) | 67.8262 | + | 72.8124i | 2.24842 | + | 2.41371i | ||||
\(911\) | 10.2856 | + | 26.2073i | 0.340778 | + | 0.868288i | 0.993824 | + | 0.110970i | \(0.0353957\pi\) |
−0.653046 | + | 0.757318i | \(0.726509\pi\) | |||||||
\(912\) | −27.1088 | − | 20.1932i | −0.897661 | − | 0.668665i | ||||
\(913\) | −25.6083 | −0.847510 | ||||||||
\(914\) | 10.5141 | − | 13.1843i | 0.347776 | − | 0.436097i | ||||
\(915\) | −2.42688 | − | 0.861287i | −0.0802303 | − | 0.0284733i | ||||
\(916\) | 1.50255 | − | 20.0501i | 0.0496455 | − | 0.662473i | ||||
\(917\) | 24.1894 | − | 19.3681i | 0.798803 | − | 0.639591i | ||||
\(918\) | −10.1982 | − | 40.1886i | −0.336590 | − | 1.32642i | ||||
\(919\) | −21.6748 | − | 3.26695i | −0.714985 | − | 0.107767i | −0.218531 | − | 0.975830i | \(-0.570127\pi\) |
−0.496453 | + | 0.868063i | \(0.665365\pi\) | |||||||
\(920\) | −0.829658 | − | 11.0710i | −0.0273530 | − | 0.365000i | ||||
\(921\) | −6.14371 | − | 33.2764i | −0.202442 | − | 1.09650i | ||||
\(922\) | −1.55865 | + | 20.7987i | −0.0513313 | + | 0.684969i | ||||
\(923\) | 57.6297 | − | 53.4726i | 1.89691 | − | 1.76007i | ||||
\(924\) | −7.89910 | + | 22.3969i | −0.259861 | + | 0.736803i | ||||
\(925\) | −25.7145 | − | 23.8596i | −0.845489 | − | 0.784499i | ||||
\(926\) | 26.4124 | − | 24.5071i | 0.867964 | − | 0.805353i | ||||
\(927\) | 10.6118 | − | 15.2723i | 0.348538 | − | 0.501607i | ||||
\(928\) | −15.2803 | − | 4.71334i | −0.501599 | − | 0.154723i | ||||
\(929\) | −14.2893 | − | 6.88136i | −0.468817 | − | 0.225770i | 0.184533 | − | 0.982826i | \(-0.440923\pi\) |
−0.653350 | + | 0.757056i | \(0.726637\pi\) | |||||||
\(930\) | 6.42358 | − | 54.8272i | 0.210637 | − | 1.79786i | ||||
\(931\) | −9.60519 | − | 41.3352i | −0.314797 | − | 1.35471i | ||||
\(932\) | 13.5558 | + | 23.4794i | 0.444036 | + | 0.769092i | ||||
\(933\) | −19.0080 | − | 0.795546i | −0.622292 | − | 0.0260450i | ||||
\(934\) | −18.3777 | + | 17.0520i | −0.601337 | + | 0.557959i | ||||
\(935\) | 31.2238 | − | 4.70623i | 1.02113 | − | 0.153910i | ||||
\(936\) | −0.0900708 | + | 10.1681i | −0.00294406 | + | 0.332354i | ||||
\(937\) | 3.69104 | − | 16.1715i | 0.120581 | − | 0.528300i | −0.878170 | − | 0.478348i | \(-0.841236\pi\) |
0.998752 | − | 0.0499526i | \(-0.0159070\pi\) | |||||||
\(938\) | 37.1329 | − | 54.6941i | 1.21243 | − | 1.78582i | ||||
\(939\) | 1.90414 | + | 2.60408i | 0.0621392 | + | 0.0849809i | ||||
\(940\) | 0.394318 | − | 5.26181i | 0.0128612 | − | 0.171621i | ||||
\(941\) | −1.91298 | + | 8.38132i | −0.0623614 | + | 0.273223i | −0.996490 | − | 0.0837138i | \(-0.973322\pi\) |
0.934128 | + | 0.356937i | \(0.116179\pi\) | |||||||
\(942\) | −52.5228 | − | 2.19825i | −1.71129 | − | 0.0716229i | ||||
\(943\) | 1.47955 | − | 1.85529i | 0.0481806 | − | 0.0604166i | ||||
\(944\) | −25.2612 | − | 12.1652i | −0.822183 | − | 0.395943i | ||||
\(945\) | −6.28624 | + | 50.6309i | −0.204491 | + | 1.64702i | ||||
\(946\) | 54.1615 | − | 26.0828i | 1.76094 | − | 0.848025i | ||||
\(947\) | 3.23853 | − | 14.1889i | 0.105238 | − | 0.461078i | −0.894659 | − | 0.446749i | \(-0.852582\pi\) |
0.999897 | − | 0.0143291i | \(-0.00456124\pi\) | |||||||
\(948\) | −2.15661 | + | 7.90829i | −0.0700433 | + | 0.256849i | ||||
\(949\) | −8.72993 | −0.283386 | ||||||||
\(950\) | −55.3610 | + | 95.8880i | −1.79615 | + | 3.11102i | ||||
\(951\) | 8.20816 | − | 30.0994i | 0.266168 | − | 0.976040i | ||||
\(952\) | 3.07600 | + | 6.35548i | 0.0996938 | + | 0.205982i | ||||
\(953\) | 12.9813 | + | 16.2781i | 0.420507 | + | 0.527299i | 0.946290 | − | 0.323320i | \(-0.104799\pi\) |
−0.525783 | + | 0.850619i | \(0.676227\pi\) | |||||||
\(954\) | 30.9127 | − | 44.4888i | 1.00084 | − | 1.44038i | ||||
\(955\) | −5.52869 | + | 73.7753i | −0.178904 | + | 2.38731i | ||||
\(956\) | 46.0606 | + | 31.4036i | 1.48971 | + | 1.01567i | ||||
\(957\) | −6.69973 | − | 3.57896i | −0.216571 | − | 0.115691i | ||||
\(958\) | 7.27570 | − | 18.5382i | 0.235067 | − | 0.598942i | ||||
\(959\) | 8.13973 | + | 53.2943i | 0.262845 | + | 1.72096i | ||||
\(960\) | −47.1256 | − | 47.5449i | −1.52097 | − | 1.53451i | ||||
\(961\) | −13.9845 | −0.451113 | ||||||||
\(962\) | −20.2626 | + | 35.0959i | −0.653293 | + | 1.13154i | ||||
\(963\) | −25.0584 | + | 19.6228i | −0.807495 | + | 0.632336i | ||||
\(964\) | −52.7067 | + | 16.2579i | −1.69757 | + | 0.523630i | ||||
\(965\) | −2.66090 | + | 35.5073i | −0.0856574 | + | 1.14302i | ||||
\(966\) | −40.2941 | + | 7.52109i | −1.29644 | + | 0.241987i | ||||
\(967\) | 4.02737 | + | 53.7415i | 0.129512 | + | 1.72821i | 0.562488 | + | 0.826806i | \(0.309844\pi\) |
−0.432976 | + | 0.901405i | \(0.642537\pi\) | |||||||
\(968\) | 1.54454 | + | 3.93542i | 0.0496433 | + | 0.126489i | ||||
\(969\) | −40.2094 | − | 1.68290i | −1.29171 | − | 0.0540624i | ||||
\(970\) | −14.5950 | + | 4.50195i | −0.468616 | + | 0.144549i | ||||
\(971\) | 18.4107 | + | 12.5522i | 0.590827 | + | 0.402819i | 0.821497 | − | 0.570213i | \(-0.193139\pi\) |
−0.230670 | + | 0.973032i | \(0.574092\pi\) | |||||||
\(972\) | −28.1018 | + | 23.1204i | −0.901365 | + | 0.741588i | ||||
\(973\) | 12.2883 | + | 17.9478i | 0.393943 | + | 0.575381i | ||||
\(974\) | −40.1525 | − | 37.2561i | −1.28657 | − | 1.19376i | ||||
\(975\) | −73.5357 | + | 7.95583i | −2.35503 | + | 0.254790i | ||||
\(976\) | −0.804127 | − | 1.00834i | −0.0257395 | − | 0.0322763i | ||||
\(977\) | 13.2371 | + | 57.9956i | 0.423493 | + | 1.85544i | 0.511441 | + | 0.859318i | \(0.329112\pi\) |
−0.0879481 | + | 0.996125i | \(0.528031\pi\) | |||||||
\(978\) | 9.04240 | + | 17.2940i | 0.289144 | + | 0.553002i | ||||
\(979\) | 0.854890 | − | 1.48071i | 0.0273224 | − | 0.0473238i | ||||
\(980\) | −4.76906 | − | 60.4564i | −0.152342 | − | 1.93121i | ||||
\(981\) | 3.57122 | + | 11.9525i | 0.114020 | + | 0.381614i | ||||
\(982\) | −0.913751 | − | 12.1932i | −0.0291590 | − | 0.389099i | ||||
\(983\) | 33.5224 | − | 31.1043i | 1.06920 | − | 0.992072i | 0.0692149 | − | 0.997602i | \(-0.477951\pi\) |
0.999985 | + | 0.00552950i | \(0.00176010\pi\) | |||||||
\(984\) | 0.0219587 | + | 0.665759i | 0.000700016 | + | 0.0212236i | ||||
\(985\) | 1.21637 | + | 0.375200i | 0.0387568 | + | 0.0119549i | ||||
\(986\) | −15.0624 | + | 4.64613i | −0.479684 | + | 0.147963i | ||||
\(987\) | −2.78936 | + | 0.0974768i | −0.0887863 | + | 0.00310272i | ||||
\(988\) | 65.8308 | + | 20.3061i | 2.09436 | + | 0.646024i | ||||
\(989\) | 46.1710 | + | 31.4789i | 1.46815 | + | 1.00097i | ||||
\(990\) | −28.6092 | − | 42.7711i | −0.909259 | − | 1.35935i | ||||
\(991\) | −4.51007 | + | 3.07491i | −0.143267 | + | 0.0976778i | −0.632832 | − | 0.774289i | \(-0.718108\pi\) |
0.489565 | + | 0.871967i | \(0.337155\pi\) | |||||||
\(992\) | 20.8190 | − | 26.1063i | 0.661005 | − | 0.828874i | ||||
\(993\) | −23.6774 | − | 0.990977i | −0.751379 | − | 0.0314477i | ||||
\(994\) | −88.6967 | + | 6.82182i | −2.81329 | + | 0.216375i | ||||
\(995\) | 1.56506 | + | 1.06704i | 0.0496156 | + | 0.0338273i | ||||
\(996\) | 43.9555 | + | 15.5996i | 1.39278 | + | 0.494291i | ||||
\(997\) | 50.9977 | + | 7.68667i | 1.61511 | + | 0.243439i | 0.893569 | − | 0.448927i | \(-0.148194\pi\) |
0.721546 | + | 0.692366i | \(0.243432\pi\) | |||||||
\(998\) | 27.2953 | − | 47.2768i | 0.864017 | − | 1.49652i | ||||
\(999\) | −20.4651 | + | 3.59125i | −0.647489 | + | 0.113622i |
(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 | 441.2.y.a.277.46 | yes | 648 | |
9.4 | even | 3 | 441.2.z.a.130.9 | yes | 648 | ||
49.23 | even | 21 | 441.2.z.a.268.9 | yes | 648 | ||
441.121 | even | 21 | inner | 441.2.y.a.121.46 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.121.46 | ✓ | 648 | 441.121 | even | 21 | inner | |
441.2.y.a.277.46 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.130.9 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.268.9 | yes | 648 | 49.23 | even | 21 |