Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 109.2 | ||
Character | \(\chi\) | \(=\) | 392.109 |
Dual form | 392.2.z.a.205.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41279 | + | 0.0633787i | −0.998995 | + | 0.0448155i | ||||
\(3\) | −0.0286441 | − | 0.190041i | −0.0165377 | − | 0.109720i | 0.979039 | − | 0.203673i | \(-0.0652879\pi\) |
−0.995577 | + | 0.0939526i | \(0.970050\pi\) | |||||||
\(4\) | 1.99197 | − | 0.179082i | 0.995983 | − | 0.0895409i | ||||
\(5\) | −3.07037 | − | 1.20503i | −1.37311 | − | 0.538906i | −0.439838 | − | 0.898077i | \(-0.644964\pi\) |
−0.933272 | + | 0.359171i | \(0.883060\pi\) | |||||||
\(6\) | 0.0525127 | + | 0.266673i | 0.0214382 | + | 0.108869i | ||||
\(7\) | 0.384038 | − | 2.61773i | 0.145153 | − | 0.989409i | ||||
\(8\) | −2.80289 | + | 0.379254i | −0.990970 | + | 0.134086i | ||||
\(9\) | 2.83142 | − | 0.873378i | 0.943808 | − | 0.291126i | ||||
\(10\) | 4.41417 | + | 1.50786i | 1.39588 | + | 0.476828i | ||||
\(11\) | −0.799625 | + | 2.59232i | −0.241096 | + | 0.781614i | 0.751455 | + | 0.659784i | \(0.229352\pi\) |
−0.992551 | + | 0.121829i | \(0.961124\pi\) | |||||||
\(12\) | −0.0910909 | − | 0.373426i | −0.0262957 | − | 0.107799i | ||||
\(13\) | −2.39344 | + | 0.546288i | −0.663822 | + | 0.151513i | −0.541139 | − | 0.840933i | \(-0.682007\pi\) |
−0.122683 | + | 0.992446i | \(0.539150\pi\) | |||||||
\(14\) | −0.376657 | + | 3.72265i | −0.100666 | + | 0.994920i | ||||
\(15\) | −0.141057 | + | 0.618013i | −0.0364209 | + | 0.159570i | ||||
\(16\) | 3.93586 | − | 0.713450i | 0.983965 | − | 0.178362i | ||||
\(17\) | −4.97960 | + | 3.39504i | −1.20773 | + | 0.823417i | −0.988346 | − | 0.152221i | \(-0.951357\pi\) |
−0.219385 | + | 0.975638i | \(0.570405\pi\) | |||||||
\(18\) | −3.94486 | + | 1.41335i | −0.929813 | + | 0.333131i | ||||
\(19\) | −2.12167 | + | 1.22495i | −0.486744 | + | 0.281022i | −0.723223 | − | 0.690615i | \(-0.757340\pi\) |
0.236479 | + | 0.971637i | \(0.424007\pi\) | |||||||
\(20\) | −6.33187 | − | 1.85053i | −1.41585 | − | 0.413792i | ||||
\(21\) | −0.508477 | + | 0.00199956i | −0.110959 | + | 0.000436339i | ||||
\(22\) | 0.965406 | − | 3.71309i | 0.205825 | − | 0.791633i | ||||
\(23\) | −4.24195 | − | 2.89212i | −0.884509 | − | 0.603048i | 0.0335742 | − | 0.999436i | \(-0.489311\pi\) |
−0.918083 | + | 0.396388i | \(0.870263\pi\) | |||||||
\(24\) | 0.152360 | + | 0.521800i | 0.0311003 | + | 0.106512i | ||||
\(25\) | 4.30980 | + | 3.99891i | 0.861960 | + | 0.799782i | ||||
\(26\) | 3.34682 | − | 0.923485i | 0.656365 | − | 0.181110i | ||||
\(27\) | −0.497242 | − | 1.03253i | −0.0956944 | − | 0.198711i | ||||
\(28\) | 0.296202 | − | 5.28321i | 0.0559770 | − | 0.998432i | ||||
\(29\) | 2.12183 | − | 4.40602i | 0.394013 | − | 0.818177i | −0.605733 | − | 0.795668i | \(-0.707120\pi\) |
0.999747 | − | 0.0225095i | \(-0.00716561\pi\) | |||||||
\(30\) | 0.160116 | − | 0.882064i | 0.0292331 | − | 0.161042i | ||||
\(31\) | −2.86186 | + | 4.95689i | −0.514005 | + | 0.890283i | 0.485863 | + | 0.874035i | \(0.338505\pi\) |
−0.999868 | + | 0.0162480i | \(0.994828\pi\) | |||||||
\(32\) | −5.51534 | + | 1.25741i | −0.974983 | + | 0.222280i | ||||
\(33\) | 0.515551 | + | 0.0777069i | 0.0897460 | + | 0.0135270i | ||||
\(34\) | 6.81997 | − | 5.11208i | 1.16962 | − | 0.876715i | ||||
\(35\) | −4.33358 | + | 7.57462i | −0.732509 | + | 1.28034i | ||||
\(36\) | 5.48369 | − | 2.24680i | 0.913949 | − | 0.374466i | ||||
\(37\) | −3.51280 | + | 0.263248i | −0.577501 | + | 0.0432777i | −0.360279 | − | 0.932845i | \(-0.617319\pi\) |
−0.217222 | + | 0.976122i | \(0.569700\pi\) | |||||||
\(38\) | 2.91984 | − | 1.86506i | 0.473661 | − | 0.302553i | ||||
\(39\) | 0.172375 | + | 0.439205i | 0.0276021 | + | 0.0703290i | ||||
\(40\) | 9.06290 | + | 2.21311i | 1.43297 | + | 0.349924i | ||||
\(41\) | −1.26219 | − | 1.58274i | −0.197121 | − | 0.247183i | 0.673440 | − | 0.739242i | \(-0.264816\pi\) |
−0.870562 | + | 0.492059i | \(0.836244\pi\) | |||||||
\(42\) | 0.718245 | − | 0.0350515i | 0.110828 | − | 0.00540857i | ||||
\(43\) | −8.29503 | − | 6.61506i | −1.26498 | − | 1.00879i | −0.998995 | − | 0.0448107i | \(-0.985732\pi\) |
−0.265985 | − | 0.963977i | \(-0.585697\pi\) | |||||||
\(44\) | −1.12859 | + | 5.30701i | −0.170141 | + | 0.800062i | ||||
\(45\) | −9.74596 | − | 0.730359i | −1.45284 | − | 0.108875i | ||||
\(46\) | 6.17630 | + | 3.81711i | 0.910646 | + | 0.562802i | ||||
\(47\) | −4.91600 | + | 4.56138i | −0.717072 | + | 0.665345i | −0.951801 | − | 0.306715i | \(-0.900770\pi\) |
0.234730 | + | 0.972061i | \(0.424580\pi\) | |||||||
\(48\) | −0.248324 | − | 0.727539i | −0.0358425 | − | 0.105011i | ||||
\(49\) | −6.70503 | − | 2.01061i | −0.957861 | − | 0.287231i | ||||
\(50\) | −6.34230 | − | 5.37648i | −0.896937 | − | 0.760350i | ||||
\(51\) | 0.787832 | + | 0.849081i | 0.110319 | + | 0.118895i | ||||
\(52\) | −4.66983 | + | 1.51681i | −0.647589 | + | 0.210344i | ||||
\(53\) | 11.7885 | + | 0.883424i | 1.61927 | + | 0.121348i | 0.853262 | − | 0.521483i | \(-0.174621\pi\) |
0.766009 | + | 0.642830i | \(0.222240\pi\) | |||||||
\(54\) | 0.767941 | + | 1.42724i | 0.104504 | + | 0.194223i | ||||
\(55\) | 5.57897 | − | 6.99580i | 0.752268 | − | 0.943314i | ||||
\(56\) | −0.0836298 | + | 7.48285i | −0.0111755 | + | 0.999938i | ||||
\(57\) | 0.293563 | + | 0.368116i | 0.0388834 | + | 0.0487582i | ||||
\(58\) | −2.71845 | + | 6.35927i | −0.356951 | + | 0.835013i | ||||
\(59\) | −8.66453 | + | 3.40058i | −1.12803 | + | 0.442717i | −0.854657 | − | 0.519192i | \(-0.826233\pi\) |
−0.273368 | + | 0.961910i | \(0.588138\pi\) | |||||||
\(60\) | −0.170307 | + | 1.25632i | −0.0219865 | + | 0.162190i | ||||
\(61\) | 2.16600 | − | 0.162320i | 0.277328 | − | 0.0207829i | 0.0646601 | − | 0.997907i | \(-0.479404\pi\) |
0.212668 | + | 0.977124i | \(0.431785\pi\) | |||||||
\(62\) | 3.72905 | − | 7.18443i | 0.473590 | − | 0.912424i | ||||
\(63\) | −1.19890 | − | 7.74731i | −0.151047 | − | 0.976070i | ||||
\(64\) | 7.71233 | − | 2.12601i | 0.964042 | − | 0.265751i | ||||
\(65\) | 8.00705 | + | 1.20687i | 0.993152 | + | 0.149694i | ||||
\(66\) | −0.733292 | − | 0.0771088i | −0.0902620 | − | 0.00949143i | ||||
\(67\) | 4.07561 | + | 2.35306i | 0.497915 | + | 0.287471i | 0.727852 | − | 0.685734i | \(-0.240519\pi\) |
−0.229937 | + | 0.973206i | \(0.573852\pi\) | |||||||
\(68\) | −9.31121 | + | 7.65455i | −1.12915 | + | 0.928251i | ||||
\(69\) | −0.428114 | + | 0.888987i | −0.0515388 | + | 0.107022i | ||||
\(70\) | 5.64239 | − | 10.9760i | 0.674394 | − | 1.31189i | ||||
\(71\) | −7.32647 | + | 3.52824i | −0.869491 | + | 0.418725i | −0.814775 | − | 0.579777i | \(-0.803140\pi\) |
−0.0547162 | + | 0.998502i | \(0.517425\pi\) | |||||||
\(72\) | −7.60492 | + | 3.52181i | −0.896249 | + | 0.415049i | ||||
\(73\) | 1.71039 | + | 1.58701i | 0.200186 | + | 0.185746i | 0.773896 | − | 0.633313i | \(-0.218306\pi\) |
−0.573709 | + | 0.819059i | \(0.694496\pi\) | |||||||
\(74\) | 4.94618 | − | 0.594552i | 0.574981 | − | 0.0691152i | ||||
\(75\) | 0.636507 | − | 0.933584i | 0.0734975 | − | 0.107801i | ||||
\(76\) | −4.00693 | + | 2.82000i | −0.459626 | + | 0.323476i | ||||
\(77\) | 6.47891 | + | 3.08875i | 0.738340 | + | 0.351996i | ||||
\(78\) | −0.271366 | − | 0.609580i | −0.0307262 | − | 0.0690214i | ||||
\(79\) | −4.47482 | − | 7.75061i | −0.503456 | − | 0.872012i | −0.999992 | − | 0.00399575i | \(-0.998728\pi\) |
0.496536 | − | 0.868016i | \(-0.334605\pi\) | |||||||
\(80\) | −12.9443 | − | 2.55228i | −1.44721 | − | 0.285353i | ||||
\(81\) | 7.16261 | − | 4.88339i | 0.795846 | − | 0.542599i | ||||
\(82\) | 1.88353 | + | 2.15609i | 0.208001 | + | 0.238100i | ||||
\(83\) | 3.55762 | + | 0.812003i | 0.390499 | + | 0.0891289i | 0.413262 | − | 0.910612i | \(-0.364389\pi\) |
−0.0227631 | + | 0.999741i | \(0.507246\pi\) | |||||||
\(84\) | −1.01251 | + | 0.0950420i | −0.110474 | + | 0.0103699i | ||||
\(85\) | 19.3803 | − | 4.42343i | 2.10209 | − | 0.479789i | ||||
\(86\) | 12.1384 | + | 8.81999i | 1.30892 | + | 0.951084i | ||||
\(87\) | −0.898102 | − | 0.277028i | −0.0962867 | − | 0.0297005i | ||||
\(88\) | 1.25811 | − | 7.56923i | 0.134115 | − | 0.806883i | ||||
\(89\) | 14.8093 | − | 4.56807i | 1.56978 | − | 0.484214i | 0.616771 | − | 0.787142i | \(-0.288440\pi\) |
0.953013 | + | 0.302928i | \(0.0979642\pi\) | |||||||
\(90\) | 13.8153 | + | 0.414160i | 1.45626 | + | 0.0436562i | ||||
\(91\) | 0.510862 | + | 6.47519i | 0.0535529 | + | 0.678784i | ||||
\(92\) | −8.96776 | − | 5.00134i | −0.934953 | − | 0.521426i | ||||
\(93\) | 1.02399 | + | 0.401885i | 0.106183 | + | 0.0416736i | ||||
\(94\) | 6.65619 | − | 6.75585i | 0.686533 | − | 0.696813i | ||||
\(95\) | 7.99040 | − | 1.20436i | 0.819797 | − | 0.123565i | ||||
\(96\) | 0.396940 | + | 1.01212i | 0.0405126 | + | 0.103299i | ||||
\(97\) | 8.27599 | 0.840299 | 0.420150 | − | 0.907455i | \(-0.361978\pi\) | ||||
0.420150 | + | 0.907455i | \(0.361978\pi\) | |||||||
\(98\) | 9.60025 | + | 2.41563i | 0.969771 | + | 0.244015i | ||||
\(99\) | 8.03833i | 0.807882i | ||||||||
\(100\) | 9.30111 | + | 7.19389i | 0.930111 | + | 0.719389i | ||||
\(101\) | −2.04445 | − | 13.5641i | −0.203431 | − | 1.34968i | −0.824474 | − | 0.565899i | \(-0.808529\pi\) |
0.621044 | − | 0.783776i | \(-0.286709\pi\) | |||||||
\(102\) | −1.16686 | − | 1.14964i | −0.115536 | − | 0.113832i | ||||
\(103\) | 1.00863 | − | 2.56994i | 0.0993830 | − | 0.253224i | −0.872532 | − | 0.488558i | \(-0.837523\pi\) |
0.971915 | + | 0.235334i | \(0.0756184\pi\) | |||||||
\(104\) | 6.50137 | − | 2.43890i | 0.637511 | − | 0.239154i | ||||
\(105\) | 1.56362 | + | 0.606591i | 0.152594 | + | 0.0591972i | ||||
\(106\) | −16.7107 | − | 0.500957i | −1.62308 | − | 0.0486572i | ||||
\(107\) | −0.338042 | − | 1.09590i | −0.0326797 | − | 0.105945i | 0.937764 | − | 0.347274i | \(-0.112893\pi\) |
−0.970443 | + | 0.241329i | \(0.922417\pi\) | |||||||
\(108\) | −1.17540 | − | 1.96773i | −0.113103 | − | 0.189345i | ||||
\(109\) | −1.39320 | + | 4.51664i | −0.133444 | + | 0.432616i | −0.997491 | − | 0.0707962i | \(-0.977446\pi\) |
0.864047 | + | 0.503412i | \(0.167922\pi\) | |||||||
\(110\) | −7.43854 | + | 10.2372i | −0.709237 | + | 0.976079i | ||||
\(111\) | 0.150649 | + | 0.660036i | 0.0142990 | + | 0.0626478i | ||||
\(112\) | −0.356101 | − | 10.5770i | −0.0336484 | − | 0.999434i | ||||
\(113\) | −0.957673 | + | 4.19584i | −0.0900903 | + | 0.394711i | −0.999789 | − | 0.0205583i | \(-0.993456\pi\) |
0.909698 | + | 0.415270i | \(0.136313\pi\) | |||||||
\(114\) | −0.438075 | − | 0.501467i | −0.0410294 | − | 0.0469667i | ||||
\(115\) | 9.53927 | + | 13.9915i | 0.889542 | + | 1.30472i | ||||
\(116\) | 3.43757 | − | 9.15662i | 0.319170 | − | 0.850171i | ||||
\(117\) | −6.29974 | + | 3.63715i | −0.582411 | + | 0.336255i | ||||
\(118\) | 12.0257 | − | 5.35345i | 1.10705 | − | 0.492825i | ||||
\(119\) | 6.97493 | + | 14.3391i | 0.639391 | + | 1.31446i | ||||
\(120\) | 0.160984 | − | 1.78572i | 0.0146958 | − | 0.163013i | ||||
\(121\) | 3.00791 | + | 2.05076i | 0.273446 | + | 0.186432i | ||||
\(122\) | −3.04983 | + | 0.366602i | −0.276118 | + | 0.0331906i | ||||
\(123\) | −0.264631 | + | 0.285205i | −0.0238610 | + | 0.0257160i | ||||
\(124\) | −4.81304 | + | 10.3865i | −0.432224 | + | 0.932731i | ||||
\(125\) | −1.25832 | − | 2.61292i | −0.112547 | − | 0.233707i | ||||
\(126\) | 2.18481 | + | 10.8694i | 0.194638 | + | 0.968320i | ||||
\(127\) | −15.0001 | − | 7.22368i | −1.33105 | − | 0.640998i | −0.373058 | − | 0.927808i | \(-0.621691\pi\) |
−0.957988 | + | 0.286810i | \(0.907405\pi\) | |||||||
\(128\) | −10.7612 | + | 3.49241i | −0.951163 | + | 0.308688i | ||||
\(129\) | −1.01953 | + | 1.76588i | −0.0897646 | + | 0.155477i | ||||
\(130\) | −11.3888 | − | 1.19758i | −0.998863 | − | 0.105035i | ||||
\(131\) | 2.74134 | − | 18.1876i | 0.239512 | − | 1.58906i | −0.468896 | − | 0.883253i | \(-0.655348\pi\) |
0.708408 | − | 0.705803i | \(-0.249414\pi\) | |||||||
\(132\) | 1.04088 | + | 0.0624636i | 0.0905967 | + | 0.00543676i | ||||
\(133\) | 2.39178 | + | 6.02438i | 0.207393 | + | 0.522380i | ||||
\(134\) | −5.90713 | − | 3.06607i | −0.510298 | − | 0.264868i | ||||
\(135\) | 0.282481 | + | 3.76945i | 0.0243121 | + | 0.324423i | ||||
\(136\) | 12.6697 | − | 11.4044i | 1.08642 | − | 0.977922i | ||||
\(137\) | −8.50701 | − | 21.6755i | −0.726803 | − | 1.85186i | −0.459193 | − | 0.888337i | \(-0.651861\pi\) |
−0.267610 | − | 0.963527i | \(-0.586234\pi\) | |||||||
\(138\) | 0.548493 | − | 1.28309i | 0.0466908 | − | 0.109224i | ||||
\(139\) | 7.85277 | − | 6.26237i | 0.666063 | − | 0.531168i | −0.231065 | − | 0.972938i | \(-0.574221\pi\) |
0.897128 | + | 0.441771i | \(0.145650\pi\) | |||||||
\(140\) | −7.27587 | + | 15.8645i | −0.614924 | + | 1.34079i | ||||
\(141\) | 1.00766 | + | 0.803584i | 0.0848605 | + | 0.0676740i | ||||
\(142\) | 10.1272 | − | 5.44901i | 0.849853 | − | 0.457271i | ||||
\(143\) | 0.497704 | − | 6.64140i | 0.0416201 | − | 0.555381i | ||||
\(144\) | 10.5210 | − | 5.45757i | 0.876748 | − | 0.454798i | ||||
\(145\) | −11.8242 | + | 10.9712i | −0.981945 | + | 0.911112i | ||||
\(146\) | −2.51701 | − | 2.13372i | −0.208310 | − | 0.176588i | ||||
\(147\) | −0.190040 | + | 1.33182i | −0.0156742 | + | 0.109847i | ||||
\(148\) | −6.95024 | + | 1.15346i | −0.571306 | + | 0.0948139i | ||||
\(149\) | −6.96226 | − | 7.50353i | −0.570371 | − | 0.614713i | 0.380320 | − | 0.924855i | \(-0.375814\pi\) |
−0.950690 | + | 0.310142i | \(0.899624\pi\) | |||||||
\(150\) | −0.840083 | + | 1.35930i | −0.0685925 | + | 0.110987i | ||||
\(151\) | −1.10581 | + | 14.7560i | −0.0899897 | + | 1.20083i | 0.751195 | + | 0.660081i | \(0.229478\pi\) |
−0.841184 | + | 0.540749i | \(0.818141\pi\) | |||||||
\(152\) | 5.48223 | − | 4.23803i | 0.444667 | − | 0.343750i | ||||
\(153\) | −11.1342 | + | 13.9619i | −0.900148 | + | 1.12875i | ||||
\(154\) | −9.34911 | − | 3.95314i | −0.753373 | − | 0.318553i | ||||
\(155\) | 14.7602 | − | 11.7708i | 1.18556 | − | 0.945456i | ||||
\(156\) | 0.422019 | + | 0.844011i | 0.0337886 | + | 0.0675750i | ||||
\(157\) | 0.0251994 | − | 0.00989005i | 0.00201113 | − | 0.000789312i | −0.364335 | − | 0.931268i | \(-0.618704\pi\) |
0.366346 | + | 0.930479i | \(0.380609\pi\) | |||||||
\(158\) | 6.81321 | + | 10.6664i | 0.542030 | + | 0.848573i | ||||
\(159\) | −0.169783 | − | 2.26560i | −0.0134647 | − | 0.179674i | ||||
\(160\) | 18.4493 | + | 2.78545i | 1.45855 | + | 0.220209i | ||||
\(161\) | −9.19985 | + | 9.99361i | −0.725050 | + | 0.787607i | ||||
\(162\) | −9.80979 | + | 7.35317i | −0.770730 | + | 0.577720i | ||||
\(163\) | 0.573343 | − | 3.80388i | 0.0449077 | − | 0.297943i | −0.955091 | − | 0.296313i | \(-0.904243\pi\) |
0.999999 | − | 0.00163022i | \(-0.000518917\pi\) | |||||||
\(164\) | −2.79769 | − | 2.92673i | −0.218463 | − | 0.228539i | ||||
\(165\) | −1.48929 | − | 0.859844i | −0.115941 | − | 0.0669388i | ||||
\(166\) | −5.07764 | − | 0.921715i | −0.394101 | − | 0.0715390i | ||||
\(167\) | −12.0130 | − | 5.78516i | −0.929594 | − | 0.447669i | −0.0931073 | − | 0.995656i | \(-0.529680\pi\) |
−0.836487 | + | 0.547987i | \(0.815394\pi\) | |||||||
\(168\) | 1.42444 | − | 0.198446i | 0.109898 | − | 0.0153105i | ||||
\(169\) | −6.28245 | + | 3.02547i | −0.483266 | + | 0.232728i | ||||
\(170\) | −27.1000 | + | 7.47770i | −2.07848 | + | 0.573513i | ||||
\(171\) | −4.93750 | + | 5.32136i | −0.377580 | + | 0.406934i | ||||
\(172\) | −17.7081 | − | 11.6915i | −1.35023 | − | 0.891468i | ||||
\(173\) | 9.83790 | − | 14.4296i | 0.747962 | − | 1.09706i | −0.243908 | − | 0.969798i | \(-0.578429\pi\) |
0.991869 | − | 0.127260i | \(-0.0406183\pi\) | |||||||
\(174\) | 1.28639 | + | 0.334462i | 0.0975210 | + | 0.0253555i | ||||
\(175\) | 12.1232 | − | 9.74617i | 0.916428 | − | 0.736741i | ||||
\(176\) | −1.29772 | + | 10.7735i | −0.0978193 | + | 0.812083i | ||||
\(177\) | 0.894436 | + | 1.54921i | 0.0672299 | + | 0.116446i | ||||
\(178\) | −20.6330 | + | 7.39233i | −1.54651 | + | 0.554079i | ||||
\(179\) | 12.4365 | + | 18.2410i | 0.929548 | + | 1.36340i | 0.931634 | + | 0.363399i | \(0.118384\pi\) |
−0.00208590 | + | 0.999998i | \(0.500664\pi\) | |||||||
\(180\) | −19.5444 | + | 0.290474i | −1.45675 | + | 0.0216507i | ||||
\(181\) | −15.8757 | − | 3.62353i | −1.18003 | − | 0.269335i | −0.412871 | − | 0.910789i | \(-0.635474\pi\) |
−0.767161 | + | 0.641455i | \(0.778331\pi\) | |||||||
\(182\) | −1.13213 | − | 9.11572i | −0.0839191 | − | 0.675702i | ||||
\(183\) | −0.0928906 | − | 0.406980i | −0.00686667 | − | 0.0300848i | ||||
\(184\) | 12.9866 | + | 6.49749i | 0.957382 | + | 0.479001i | ||||
\(185\) | 11.1028 | + | 3.42477i | 0.816295 | + | 0.251794i | ||||
\(186\) | −1.47215 | − | 0.502882i | −0.107943 | − | 0.0368731i | ||||
\(187\) | −4.81920 | − | 15.6235i | −0.352415 | − | 1.14250i | ||||
\(188\) | −8.97564 | + | 9.96648i | −0.654616 | + | 0.726880i | ||||
\(189\) | −2.89386 | + | 0.905115i | −0.210497 | + | 0.0658374i | ||||
\(190\) | −11.2124 | + | 2.20793i | −0.813436 | + | 0.160180i | ||||
\(191\) | −1.08676 | + | 2.76901i | −0.0786350 | + | 0.200359i | −0.964785 | − | 0.263040i | \(-0.915275\pi\) |
0.886150 | + | 0.463399i | \(0.153370\pi\) | |||||||
\(192\) | −0.624942 | − | 1.40476i | −0.0451013 | − | 0.101380i | ||||
\(193\) | −7.96408 | + | 1.20039i | −0.573267 | + | 0.0864061i | −0.429277 | − | 0.903173i | \(-0.641232\pi\) |
−0.143990 | + | 0.989579i | \(0.545993\pi\) | |||||||
\(194\) | −11.6923 | + | 0.524521i | −0.839455 | + | 0.0376584i | ||||
\(195\) | − | 1.55624i | − | 0.111444i | ||||||
\(196\) | −13.7163 | − | 2.80433i | −0.979733 | − | 0.200309i | ||||
\(197\) | − | 2.38636i | − | 0.170021i | −0.996380 | − | 0.0850106i | \(-0.972908\pi\) | ||
0.996380 | − | 0.0850106i | \(-0.0270924\pi\) | |||||||
\(198\) | −0.509458 | − | 11.3565i | −0.0362056 | − | 0.807071i | ||||
\(199\) | −4.67611 | + | 0.704810i | −0.331480 | + | 0.0499626i | −0.312674 | − | 0.949861i | \(-0.601225\pi\) |
−0.0188065 | + | 0.999823i | \(0.505987\pi\) | |||||||
\(200\) | −13.5965 | − | 9.57398i | −0.961416 | − | 0.676983i | ||||
\(201\) | 0.330435 | − | 0.841934i | 0.0233071 | − | 0.0593855i | ||||
\(202\) | 3.74806 | + | 19.0336i | 0.263713 | + | 1.33920i | ||||
\(203\) | −10.7189 | − | 7.24645i | −0.752320 | − | 0.508601i | ||||
\(204\) | 1.72139 | + | 1.55025i | 0.120521 | + | 0.108540i | ||||
\(205\) | 1.96815 | + | 6.38058i | 0.137461 | + | 0.445639i | ||||
\(206\) | −1.26210 | + | 3.69472i | −0.0879348 | + | 0.257423i | ||||
\(207\) | −14.5367 | − | 4.48397i | −1.01037 | − | 0.311658i | ||||
\(208\) | −9.03051 | + | 3.85771i | −0.626153 | + | 0.267484i | ||||
\(209\) | −1.47891 | − | 6.47954i | −0.102298 | − | 0.448199i | ||||
\(210\) | −2.24752 | − | 0.757887i | −0.155093 | − | 0.0522991i | ||||
\(211\) | 2.87497 | + | 0.656192i | 0.197921 | + | 0.0451741i | 0.320332 | − | 0.947305i | \(-0.396206\pi\) |
−0.122411 | + | 0.992479i | \(0.539063\pi\) | |||||||
\(212\) | 23.6404 | − | 0.351350i | 1.62363 | − | 0.0241308i | ||||
\(213\) | 0.880370 | + | 1.29127i | 0.0603220 | + | 0.0884761i | ||||
\(214\) | 0.547040 | + | 1.52686i | 0.0373949 | + | 0.104374i | ||||
\(215\) | 17.4974 | + | 30.3064i | 1.19332 | + | 2.06688i | ||||
\(216\) | 1.78531 | + | 2.70550i | 0.121475 | + | 0.184086i | ||||
\(217\) | 11.8767 | + | 9.39521i | 0.806245 | + | 0.637788i | ||||
\(218\) | 1.68204 | − | 6.46938i | 0.113922 | − | 0.438161i | ||||
\(219\) | 0.252605 | − | 0.370503i | 0.0170695 | − | 0.0250363i | ||||
\(220\) | 9.86029 | − | 14.9345i | 0.664781 | − | 1.00688i | ||||
\(221\) | 10.0637 | − | 10.8461i | 0.676960 | − | 0.729589i | ||||
\(222\) | −0.254668 | − | 0.922946i | −0.0170922 | − | 0.0619441i | ||||
\(223\) | 20.1962 | − | 9.72600i | 1.35244 | − | 0.651301i | 0.389503 | − | 0.921025i | \(-0.372647\pi\) |
0.962938 | + | 0.269724i | \(0.0869326\pi\) | |||||||
\(224\) | 1.17345 | + | 14.9206i | 0.0784047 | + | 0.996922i | ||||
\(225\) | 15.6954 | + | 7.55852i | 1.04636 | + | 0.503902i | ||||
\(226\) | 1.08707 | − | 5.98855i | 0.0723106 | − | 0.398352i | ||||
\(227\) | −5.31592 | − | 3.06915i | −0.352830 | − | 0.203706i | 0.313101 | − | 0.949720i | \(-0.398632\pi\) |
−0.665931 | + | 0.746013i | \(0.731965\pi\) | |||||||
\(228\) | 0.650691 | + | 0.680704i | 0.0430930 | + | 0.0450807i | ||||
\(229\) | −3.85557 | + | 25.5801i | −0.254784 | + | 1.69038i | 0.385874 | + | 0.922552i | \(0.373900\pi\) |
−0.640657 | + | 0.767827i | \(0.721338\pi\) | |||||||
\(230\) | −14.3638 | − | 19.1626i | −0.947120 | − | 1.26354i | ||||
\(231\) | 0.401407 | − | 1.31973i | 0.0264106 | − | 0.0868320i | ||||
\(232\) | −4.27624 | + | 13.1543i | −0.280749 | + | 0.863621i | ||||
\(233\) | 1.65185 | + | 22.0424i | 0.108216 | + | 1.44405i | 0.741929 | + | 0.670478i | \(0.233911\pi\) |
−0.633713 | + | 0.773569i | \(0.718470\pi\) | |||||||
\(234\) | 8.66970 | − | 5.53781i | 0.566756 | − | 0.362018i | ||||
\(235\) | 20.5905 | − | 8.08118i | 1.34318 | − | 0.527158i | ||||
\(236\) | −16.6505 | + | 8.32549i | −1.08385 | + | 0.541943i | ||||
\(237\) | −1.34476 | + | 1.07241i | −0.0873514 | + | 0.0696604i | ||||
\(238\) | −10.7629 | − | 19.8161i | −0.697657 | − | 1.28449i | ||||
\(239\) | 12.1161 | − | 15.1931i | 0.783724 | − | 0.982759i | −0.216255 | − | 0.976337i | \(-0.569384\pi\) |
0.999979 | − | 0.00642231i | \(-0.00204430\pi\) | |||||||
\(240\) | −0.114261 | + | 2.53305i | −0.00737551 | + | 0.163508i | ||||
\(241\) | 1.82741 | − | 24.3851i | 0.117714 | − | 1.57078i | −0.555617 | − | 0.831438i | \(-0.687518\pi\) |
0.673331 | − | 0.739342i | \(-0.264863\pi\) | |||||||
\(242\) | −4.37952 | − | 2.70666i | −0.281526 | − | 0.173990i | ||||
\(243\) | −3.47170 | − | 3.74160i | −0.222710 | − | 0.240024i | ||||
\(244\) | 4.28554 | − | 0.711227i | 0.274353 | − | 0.0455316i | ||||
\(245\) | 18.1641 | + | 14.2531i | 1.16046 | + | 0.910597i | ||||
\(246\) | 0.355793 | − | 0.419707i | 0.0226845 | − | 0.0267595i | ||||
\(247\) | 4.40892 | − | 4.09088i | 0.280533 | − | 0.260296i | ||||
\(248\) | 6.14155 | − | 14.9790i | 0.389989 | − | 0.951165i | ||||
\(249\) | 0.0524092 | − | 0.699353i | 0.00332130 | − | 0.0443197i | ||||
\(250\) | 1.94334 | + | 3.61176i | 0.122908 | + | 0.228428i | ||||
\(251\) | −18.9035 | − | 15.0750i | −1.19318 | − | 0.951526i | −0.193613 | − | 0.981078i | \(-0.562021\pi\) |
−0.999563 | + | 0.0295520i | \(0.990592\pi\) | |||||||
\(252\) | −3.77556 | − | 15.2177i | −0.237838 | − | 0.958624i | ||||
\(253\) | 10.8893 | − | 8.68389i | 0.684602 | − | 0.545952i | ||||
\(254\) | 21.6499 | + | 9.25487i | 1.35844 | + | 0.580702i | ||||
\(255\) | −1.39577 | − | 3.55635i | −0.0874063 | − | 0.222707i | ||||
\(256\) | 14.9820 | − | 5.61608i | 0.936374 | − | 0.351005i | ||||
\(257\) | −0.531963 | − | 7.09855i | −0.0331829 | − | 0.442796i | −0.988907 | − | 0.148533i | \(-0.952545\pi\) |
0.955725 | − | 0.294263i | \(-0.0950741\pi\) | |||||||
\(258\) | 1.32847 | − | 2.55944i | 0.0827067 | − | 0.159344i | ||||
\(259\) | −0.659936 | + | 9.29667i | −0.0410064 | + | 0.577667i | ||||
\(260\) | 16.1659 | + | 0.970124i | 1.00257 | + | 0.0601645i | ||||
\(261\) | 2.15967 | − | 14.3285i | 0.133680 | − | 0.886910i | ||||
\(262\) | −2.72024 | + | 25.8690i | −0.168057 | + | 1.59819i | ||||
\(263\) | −10.2569 | + | 17.7654i | −0.632466 | + | 1.09546i | 0.354580 | + | 0.935026i | \(0.384624\pi\) |
−0.987046 | + | 0.160438i | \(0.948709\pi\) | |||||||
\(264\) | −1.47450 | − | 0.0222787i | −0.0907493 | − | 0.00137116i | ||||
\(265\) | −35.1304 | − | 16.9179i | −2.15804 | − | 1.03926i | ||||
\(266\) | −3.76090 | − | 8.35961i | −0.230596 | − | 0.512561i | ||||
\(267\) | −1.29232 | − | 2.68353i | −0.0790887 | − | 0.164229i | ||||
\(268\) | 8.53987 | + | 3.95734i | 0.521656 | + | 0.241733i | ||||
\(269\) | −14.2172 | + | 15.3225i | −0.866840 | + | 0.934231i | −0.998370 | − | 0.0570813i | \(-0.981821\pi\) |
0.131530 | + | 0.991312i | \(0.458011\pi\) | |||||||
\(270\) | −0.637991 | − | 5.30755i | −0.0388269 | − | 0.323007i | ||||
\(271\) | 1.61819 | + | 1.10326i | 0.0982980 | + | 0.0670185i | 0.611472 | − | 0.791266i | \(-0.290578\pi\) |
−0.513174 | + | 0.858285i | \(0.671530\pi\) | |||||||
\(272\) | −17.1768 | + | 16.9151i | −1.04150 | + | 1.02563i | ||||
\(273\) | 1.21592 | − | 0.282560i | 0.0735907 | − | 0.0171013i | ||||
\(274\) | 13.3924 | + | 30.0838i | 0.809065 | + | 1.81743i | ||||
\(275\) | −13.8127 | + | 7.97475i | −0.832936 | + | 0.480896i | ||||
\(276\) | −0.693587 | + | 1.84750i | −0.0417490 | + | 0.111206i | ||||
\(277\) | 3.12516 | + | 4.58377i | 0.187773 | + | 0.275412i | 0.908569 | − | 0.417735i | \(-0.137176\pi\) |
−0.720796 | + | 0.693147i | \(0.756224\pi\) | |||||||
\(278\) | −10.6974 | + | 9.34513i | −0.641589 | + | 0.560484i | ||||
\(279\) | −3.77390 | + | 16.5345i | −0.225937 | + | 0.989896i | ||||
\(280\) | 9.27383 | − | 22.8743i | 0.554218 | − | 1.36700i | ||||
\(281\) | −3.89171 | − | 17.0507i | −0.232160 | − | 1.01716i | −0.947844 | − | 0.318735i | \(-0.896742\pi\) |
0.715684 | − | 0.698424i | \(-0.246115\pi\) | |||||||
\(282\) | −1.47455 | − | 1.07143i | −0.0878081 | − | 0.0638030i | ||||
\(283\) | 0.944613 | − | 3.06236i | 0.0561514 | − | 0.182038i | −0.923152 | − | 0.384434i | \(-0.874397\pi\) |
0.979304 | + | 0.202396i | \(0.0648727\pi\) | |||||||
\(284\) | −13.9622 | + | 8.34017i | −0.828506 | + | 0.494898i | ||||
\(285\) | −0.457755 | − | 1.48401i | −0.0271151 | − | 0.0879049i | ||||
\(286\) | −0.282229 | + | 9.41446i | −0.0166886 | + | 0.556689i | ||||
\(287\) | −4.62792 | + | 2.69625i | −0.273177 | + | 0.159155i | ||||
\(288\) | −14.5181 | + | 8.37722i | −0.855485 | + | 0.493633i | ||||
\(289\) | 7.05938 | − | 17.9870i | 0.415258 | − | 1.05806i | ||||
\(290\) | 16.0098 | − | 16.2495i | 0.940126 | − | 0.954202i | ||||
\(291\) | −0.237058 | − | 1.57278i | −0.0138966 | − | 0.0921978i | ||||
\(292\) | 3.69125 | + | 2.85498i | 0.216014 | + | 0.167075i | ||||
\(293\) | 10.2305i | 0.597671i | 0.954305 | + | 0.298836i | \(0.0965982\pi\) | ||||
−0.954305 | + | 0.298836i | \(0.903402\pi\) | |||||||
\(294\) | 0.184078 | − | 1.89363i | 0.0107356 | − | 0.110439i | ||||
\(295\) | 30.7011 | 1.78749 | ||||||||
\(296\) | 9.74614 | − | 2.07010i | 0.566483 | − | 0.120322i | ||||
\(297\) | 3.07427 | − | 0.463371i | 0.178387 | − | 0.0268875i | ||||
\(298\) | 10.3118 | + | 10.1597i | 0.597346 | + | 0.588534i | ||||
\(299\) | 11.7328 | + | 4.60479i | 0.678526 | + | 0.266302i | ||||
\(300\) | 1.10071 | − | 1.97365i | 0.0635497 | − | 0.113949i | ||||
\(301\) | −20.5021 | + | 19.1737i | −1.18172 | + | 1.10515i | ||||
\(302\) | 0.627065 | − | 20.9173i | 0.0360836 | − | 1.20366i | ||||
\(303\) | −2.51917 | + | 0.777060i | −0.144722 | + | 0.0446409i | ||||
\(304\) | −7.47665 | + | 6.33492i | −0.428815 | + | 0.363332i | ||||
\(305\) | −6.84603 | − | 2.11172i | −0.392002 | − | 0.120917i | ||||
\(306\) | 14.8454 | − | 20.4309i | 0.848658 | − | 1.16796i | ||||
\(307\) | −13.0544 | + | 2.97958i | −0.745052 | + | 0.170053i | −0.578162 | − | 0.815922i | \(-0.696230\pi\) |
−0.166891 | + | 0.985975i | \(0.553373\pi\) | |||||||
\(308\) | 13.4589 | + | 4.99243i | 0.766892 | + | 0.284470i | ||||
\(309\) | −0.517285 | − | 0.118067i | −0.0294273 | − | 0.00671659i | ||||
\(310\) | −20.1070 | + | 17.5652i | −1.14200 | + | 0.997638i | ||||
\(311\) | −8.88578 | + | 6.05822i | −0.503866 | + | 0.343530i | −0.788428 | − | 0.615128i | \(-0.789104\pi\) |
0.284561 | + | 0.958658i | \(0.408152\pi\) | |||||||
\(312\) | −0.649718 | − | 1.16567i | −0.0367830 | − | 0.0659929i | ||||
\(313\) | −14.0410 | − | 24.3197i | −0.793642 | − | 1.37463i | −0.923698 | − | 0.383122i | \(-0.874849\pi\) |
0.130055 | − | 0.991507i | \(-0.458485\pi\) | |||||||
\(314\) | −0.0349748 | + | 0.0155697i | −0.00197374 | + | 0.000878649i | ||||
\(315\) | −5.65470 | + | 25.2318i | −0.318606 | + | 1.42165i | ||||
\(316\) | −10.3017 | − | 14.6376i | −0.579515 | − | 0.823429i | ||||
\(317\) | 10.4379 | − | 15.3096i | 0.586251 | − | 0.859872i | −0.412442 | − | 0.910984i | \(-0.635324\pi\) |
0.998693 | + | 0.0511118i | \(0.0162765\pi\) | |||||||
\(318\) | 0.383459 | + | 3.19006i | 0.0215033 | + | 0.178890i | ||||
\(319\) | 9.72514 | + | 9.02362i | 0.544504 | + | 0.505225i | ||||
\(320\) | −26.2416 | − | 2.76597i | −1.46695 | − | 0.154622i | ||||
\(321\) | −0.198584 | + | 0.0956329i | −0.0110839 | + | 0.00533771i | ||||
\(322\) | 12.3641 | − | 14.7020i | 0.689024 | − | 0.819309i | ||||
\(323\) | 6.40633 | − | 13.3029i | 0.356458 | − | 0.740192i | ||||
\(324\) | 13.3932 | − | 11.0102i | 0.744064 | − | 0.611680i | ||||
\(325\) | −12.4998 | − | 7.21678i | −0.693365 | − | 0.400315i | ||||
\(326\) | −0.568929 | + | 5.41043i | −0.0315101 | + | 0.299656i | ||||
\(327\) | 0.898254 | + | 0.135390i | 0.0496736 | + | 0.00748708i | ||||
\(328\) | 4.13804 | + | 3.95755i | 0.228485 | + | 0.218519i | ||||
\(329\) | 10.0525 | + | 14.6205i | 0.554214 | + | 0.806054i | ||||
\(330\) | 2.15856 | + | 1.12039i | 0.118825 | + | 0.0616755i | ||||
\(331\) | −11.3319 | + | 0.849208i | −0.622857 | + | 0.0466767i | −0.382421 | − | 0.923988i | \(-0.624910\pi\) |
−0.240436 | + | 0.970665i | \(0.577291\pi\) | |||||||
\(332\) | 7.23207 | + | 0.980378i | 0.396911 | + | 0.0538052i | ||||
\(333\) | −9.71631 | + | 3.81337i | −0.532451 | + | 0.208972i | ||||
\(334\) | 17.3385 | + | 7.41186i | 0.948723 | + | 0.405559i | ||||
\(335\) | −9.67812 | − | 12.1360i | −0.528772 | − | 0.663060i | ||||
\(336\) | −1.99987 | + | 0.370643i | −0.109102 | + | 0.0202202i | ||||
\(337\) | −8.92254 | + | 11.1885i | −0.486042 | + | 0.609477i | −0.963017 | − | 0.269439i | \(-0.913162\pi\) |
0.476976 | + | 0.878917i | \(0.341733\pi\) | |||||||
\(338\) | 8.68405 | − | 4.67254i | 0.472350 | − | 0.254152i | ||||
\(339\) | 0.824813 | + | 0.0618112i | 0.0447977 | + | 0.00335712i | ||||
\(340\) | 37.8128 | − | 12.2820i | 2.05069 | − | 0.666085i | ||||
\(341\) | −10.5614 | − | 11.3825i | −0.571933 | − | 0.616397i | ||||
\(342\) | 6.63840 | − | 7.83091i | 0.358964 | − | 0.423447i | ||||
\(343\) | −7.83823 | + | 16.7798i | −0.423225 | + | 0.906025i | ||||
\(344\) | 25.7588 | + | 15.3953i | 1.38882 | + | 0.830062i | ||||
\(345\) | 2.38572 | − | 2.21363i | 0.128443 | − | 0.119178i | ||||
\(346\) | −12.9844 | + | 21.0095i | −0.698045 | + | 1.12948i | ||||
\(347\) | 26.3917 | + | 1.97779i | 1.41678 | + | 0.106173i | 0.760988 | − | 0.648766i | \(-0.224715\pi\) |
0.655795 | + | 0.754939i | \(0.272334\pi\) | |||||||
\(348\) | −1.83860 | − | 0.390996i | −0.0985593 | − | 0.0209596i | ||||
\(349\) | 27.1499 | + | 21.6513i | 1.45330 | + | 1.15897i | 0.956731 | + | 0.290972i | \(0.0939788\pi\) |
0.496570 | + | 0.867997i | \(0.334593\pi\) | |||||||
\(350\) | −16.5099 | + | 14.5377i | −0.882490 | + | 0.777071i | ||||
\(351\) | 1.75418 | + | 2.19968i | 0.0936314 | + | 0.117410i | ||||
\(352\) | 1.15060 | − | 15.3030i | 0.0613272 | − | 0.815651i | ||||
\(353\) | −1.92158 | − | 4.89611i | −0.102276 | − | 0.260594i | 0.870572 | − | 0.492041i | \(-0.163749\pi\) |
−0.972847 | + | 0.231447i | \(0.925654\pi\) | |||||||
\(354\) | −1.36184 | − | 2.13202i | −0.0723810 | − | 0.113316i | ||||
\(355\) | 26.7466 | − | 2.00438i | 1.41956 | − | 0.106381i | ||||
\(356\) | 28.6816 | − | 11.7515i | 1.52012 | − | 0.622829i | ||||
\(357\) | 2.52522 | − | 1.73625i | 0.133649 | − | 0.0918923i | ||||
\(358\) | −18.7263 | − | 24.9825i | −0.989715 | − | 1.32037i | ||||
\(359\) | 7.65286 | + | 1.15348i | 0.403903 | + | 0.0608785i | 0.347852 | − | 0.937549i | \(-0.386911\pi\) |
0.0560504 | + | 0.998428i | \(0.482149\pi\) | |||||||
\(360\) | 27.5938 | − | 1.64908i | 1.45432 | − | 0.0869141i | ||||
\(361\) | −6.49902 | + | 11.2566i | −0.342054 | + | 0.592454i | ||||
\(362\) | 22.6587 | + | 4.11311i | 1.19092 | + | 0.216180i | ||||
\(363\) | 0.303569 | − | 0.630368i | 0.0159332 | − | 0.0330857i | ||||
\(364\) | 2.17721 | + | 12.8069i | 0.114117 | + | 0.671262i | ||||
\(365\) | −3.33914 | − | 6.93379i | −0.174778 | − | 0.362931i | ||||
\(366\) | 0.157029 | + | 0.569091i | 0.00820803 | + | 0.0297469i | ||||
\(367\) | 4.11769 | + | 3.82066i | 0.214942 | + | 0.199437i | 0.780294 | − | 0.625413i | \(-0.215069\pi\) |
−0.565352 | + | 0.824849i | \(0.691260\pi\) | |||||||
\(368\) | −18.7591 | − | 8.35654i | −0.977887 | − | 0.435615i | ||||
\(369\) | −4.95613 | − | 3.37904i | −0.258006 | − | 0.175906i | ||||
\(370\) | −15.9030 | − | 4.13480i | −0.826759 | − | 0.214958i | ||||
\(371\) | 6.83978 | − | 30.5198i | 0.355104 | − | 1.58451i | ||||
\(372\) | 2.11172 | + | 0.617165i | 0.109487 | + | 0.0319985i | ||||
\(373\) | 9.58330 | − | 5.53292i | 0.496205 | − | 0.286484i | −0.230940 | − | 0.972968i | \(-0.574180\pi\) |
0.727145 | + | 0.686484i | \(0.240847\pi\) | |||||||
\(374\) | 7.79873 | + | 21.7673i | 0.403263 | + | 1.12556i | ||||
\(375\) | −0.460518 | + | 0.313976i | −0.0237811 | + | 0.0162137i | ||||
\(376\) | 12.0491 | − | 14.6494i | 0.621382 | − | 0.755487i | ||||
\(377\) | −2.67152 | + | 11.7047i | −0.137590 | + | 0.602822i | ||||
\(378\) | 4.03106 | − | 1.46215i | 0.207335 | − | 0.0752048i | ||||
\(379\) | −12.3577 | + | 2.82056i | −0.634772 | + | 0.144882i | −0.527785 | − | 0.849378i | \(-0.676977\pi\) |
−0.106987 | + | 0.994260i | \(0.534120\pi\) | |||||||
\(380\) | 15.7009 | − | 3.82998i | 0.805440 | − | 0.196474i | ||||
\(381\) | −0.943131 | + | 3.05756i | −0.0483181 | + | 0.156643i | ||||
\(382\) | 1.35987 | − | 3.98092i | 0.0695768 | − | 0.203681i | ||||
\(383\) | 14.6489 | − | 4.51858i | 0.748523 | − | 0.230889i | 0.103054 | − | 0.994676i | \(-0.467138\pi\) |
0.645468 | + | 0.763787i | \(0.276662\pi\) | |||||||
\(384\) | 0.971945 | + | 1.94503i | 0.0495994 | + | 0.0992569i | ||||
\(385\) | −16.1706 | − | 17.2909i | −0.824130 | − | 0.881225i | ||||
\(386\) | 11.1755 | − | 2.20066i | 0.568819 | − | 0.112011i | ||||
\(387\) | −29.2642 | − | 11.4853i | −1.48758 | − | 0.583833i | ||||
\(388\) | 16.4855 | − | 1.48208i | 0.836924 | − | 0.0752412i | ||||
\(389\) | 3.54632 | + | 23.5283i | 0.179805 | + | 1.19293i | 0.878582 | + | 0.477591i | \(0.158490\pi\) |
−0.698777 | + | 0.715340i | \(0.746272\pi\) | |||||||
\(390\) | 0.0986322 | + | 2.19864i | 0.00499444 | + | 0.111332i | ||||
\(391\) | 30.9421 | 1.56481 | ||||||||
\(392\) | 19.5560 | + | 3.09262i | 0.987725 | + | 0.156201i | ||||
\(393\) | −3.53491 | −0.178313 | ||||||||
\(394\) | 0.151244 | + | 3.37143i | 0.00761958 | + | 0.169850i | ||||
\(395\) | 4.39961 | + | 29.1895i | 0.221369 | + | 1.46868i | ||||
\(396\) | 1.43952 | + | 16.0121i | 0.0723385 | + | 0.804637i | ||||
\(397\) | −32.4566 | − | 12.7383i | −1.62895 | − | 0.639315i | −0.637575 | − | 0.770388i | \(-0.720062\pi\) |
−0.991373 | + | 0.131073i | \(0.958158\pi\) | |||||||
\(398\) | 6.56170 | − | 1.29212i | 0.328908 | − | 0.0647679i | ||||
\(399\) | 1.07637 | − | 0.627099i | 0.0538859 | − | 0.0313942i | ||||
\(400\) | 19.8158 | + | 12.6643i | 0.990790 | + | 0.633216i | ||||
\(401\) | 17.0946 | − | 5.27297i | 0.853662 | − | 0.263320i | 0.163115 | − | 0.986607i | \(-0.447846\pi\) |
0.690547 | + | 0.723287i | \(0.257370\pi\) | |||||||
\(402\) | −0.413475 | + | 1.21042i | −0.0206223 | + | 0.0603703i | ||||
\(403\) | 4.14181 | − | 13.4274i | 0.206318 | − | 0.668868i | ||||
\(404\) | −6.50156 | − | 26.6530i | −0.323465 | − | 1.32604i | ||||
\(405\) | −27.8765 | + | 6.36263i | −1.38519 | + | 0.316161i | ||||
\(406\) | 15.6029 | + | 9.55838i | 0.774358 | + | 0.474375i | ||||
\(407\) | 2.12650 | − | 9.31680i | 0.105407 | − | 0.461817i | ||||
\(408\) | −2.53022 | − | 2.08109i | −0.125265 | − | 0.103029i | ||||
\(409\) | 25.9991 | − | 17.7259i | 1.28557 | − | 0.876488i | 0.288849 | − | 0.957375i | \(-0.406727\pi\) |
0.996723 | + | 0.0808864i | \(0.0257751\pi\) | |||||||
\(410\) | −3.18498 | − | 8.88969i | −0.157295 | − | 0.439031i | ||||
\(411\) | −3.87556 | + | 2.23756i | −0.191167 | + | 0.110371i | ||||
\(412\) | 1.54892 | − | 5.29986i | 0.0763099 | − | 0.261105i | ||||
\(413\) | 5.57429 | + | 23.9873i | 0.274293 | + | 1.18034i | ||||
\(414\) | 20.8215 | + | 5.41361i | 1.02332 | + | 0.266064i | ||||
\(415\) | −9.94471 | − | 6.78019i | −0.488167 | − | 0.332826i | ||||
\(416\) | 12.5137 | − | 6.02249i | 0.613537 | − | 0.295277i | ||||
\(417\) | −1.41504 | − | 1.31297i | −0.0692950 | − | 0.0642963i | ||||
\(418\) | 2.50006 | + | 9.06051i | 0.122282 | + | 0.443164i | ||||
\(419\) | −12.8640 | − | 26.7124i | −0.628449 | − | 1.30499i | −0.935511 | − | 0.353298i | \(-0.885060\pi\) |
0.307062 | − | 0.951690i | \(-0.400654\pi\) | |||||||
\(420\) | 3.22331 | + | 0.928292i | 0.157281 | + | 0.0452960i | ||||
\(421\) | −15.0604 | + | 31.2733i | −0.734000 | + | 1.52417i | 0.113597 | + | 0.993527i | \(0.463763\pi\) |
−0.847597 | + | 0.530641i | \(0.821951\pi\) | |||||||
\(422\) | −4.10332 | − | 0.744852i | −0.199747 | − | 0.0362588i | ||||
\(423\) | −9.93546 | + | 17.2087i | −0.483078 | + | 0.836716i | ||||
\(424\) | −33.3768 | + | 1.99468i | −1.62092 | + | 0.0968704i | ||||
\(425\) | −35.0375 | − | 5.28106i | −1.69957 | − | 0.256169i | ||||
\(426\) | −1.32562 | − | 1.76849i | −0.0642265 | − | 0.0856838i | ||||
\(427\) | 0.406918 | − | 5.73235i | 0.0196922 | − | 0.277408i | ||||
\(428\) | −0.869624 | − | 2.12247i | −0.0420349 | − | 0.102593i | ||||
\(429\) | −1.27639 | + | 0.0956525i | −0.0616249 | + | 0.00461815i | ||||
\(430\) | −26.6410 | − | 41.7078i | −1.28474 | − | 2.01133i | ||||
\(431\) | −9.58161 | − | 24.4135i | −0.461530 | − | 1.17596i | −0.952434 | − | 0.304745i | \(-0.901429\pi\) |
0.490904 | − | 0.871214i | \(-0.336667\pi\) | |||||||
\(432\) | −2.69374 | − | 3.70915i | −0.129603 | − | 0.178457i | ||||
\(433\) | 0.451955 | + | 0.566733i | 0.0217195 | + | 0.0272355i | 0.792573 | − | 0.609777i | \(-0.208741\pi\) |
−0.770853 | + | 0.637013i | \(0.780170\pi\) | |||||||
\(434\) | −17.3748 | − | 12.5208i | −0.834018 | − | 0.601015i | ||||
\(435\) | 2.42368 | + | 1.93282i | 0.116206 | + | 0.0926715i | ||||
\(436\) | −1.96636 | + | 9.24649i | −0.0941715 | + | 0.442827i | ||||
\(437\) | 12.5427 | + | 0.939946i | 0.599999 | + | 0.0449637i | ||||
\(438\) | −0.333396 | + | 0.539454i | −0.0159303 | + | 0.0257761i | ||||
\(439\) | 4.35053 | − | 4.03671i | 0.207640 | − | 0.192661i | −0.569497 | − | 0.821994i | \(-0.692862\pi\) |
0.777136 | + | 0.629332i | \(0.216671\pi\) | |||||||
\(440\) | −12.9840 | + | 21.7243i | −0.618989 | + | 1.03566i | ||||
\(441\) | −20.7408 | + | 0.163127i | −0.987657 | + | 0.00776793i | ||||
\(442\) | −13.5306 | + | 15.9612i | −0.643583 | + | 0.759194i | ||||
\(443\) | 20.9356 | + | 22.5633i | 0.994682 | + | 1.07201i | 0.997403 | + | 0.0720162i | \(0.0229433\pi\) |
−0.00272127 | + | 0.999996i | \(0.500866\pi\) | |||||||
\(444\) | 0.418288 | + | 1.28779i | 0.0198511 | + | 0.0611159i | ||||
\(445\) | −50.9747 | − | 3.82003i | −2.41643 | − | 0.181087i | ||||
\(446\) | −27.9167 | + | 15.0208i | −1.32189 | + | 0.711257i | ||||
\(447\) | −1.22655 | + | 1.53805i | −0.0580139 | + | 0.0727471i | ||||
\(448\) | −2.60349 | − | 21.0053i | −0.123003 | − | 0.992406i | ||||
\(449\) | 18.1290 | + | 22.7330i | 0.855559 | + | 1.07284i | 0.996564 | + | 0.0828282i | \(0.0263953\pi\) |
−0.141005 | + | 0.990009i | \(0.545033\pi\) | |||||||
\(450\) | −22.6534 | − | 9.68387i | −1.06789 | − | 0.456502i | ||||
\(451\) | 5.11225 | − | 2.00641i | 0.240726 | − | 0.0944781i | ||||
\(452\) | −1.15625 | + | 8.52947i | −0.0543856 | + | 0.401193i | ||||
\(453\) | 2.83593 | − | 0.212523i | 0.133244 | − | 0.00998522i | ||||
\(454\) | 7.70481 | + | 3.99915i | 0.361605 | + | 0.187689i | ||||
\(455\) | 6.23426 | − | 20.4968i | 0.292267 | − | 0.960905i | ||||
\(456\) | −0.962433 | − | 0.920453i | −0.0450701 | − | 0.0431042i | ||||
\(457\) | −24.0849 | − | 3.63021i | −1.12664 | − | 0.169814i | −0.440830 | − | 0.897591i | \(-0.645316\pi\) |
−0.685814 | + | 0.727777i | \(0.740554\pi\) | |||||||
\(458\) | 3.82590 | − | 36.3837i | 0.178772 | − | 1.70010i | ||||
\(459\) | 5.98156 | + | 3.45346i | 0.279195 | + | 0.161194i | ||||
\(460\) | 21.5075 | + | 26.1624i | 1.00279 | + | 1.21983i | ||||
\(461\) | −3.54465 | + | 7.36054i | −0.165091 | + | 0.342814i | −0.967059 | − | 0.254552i | \(-0.918072\pi\) |
0.801968 | + | 0.597367i | \(0.203786\pi\) | |||||||
\(462\) | −0.483462 | + | 1.88995i | −0.0224927 | + | 0.0879284i | ||||
\(463\) | −6.18453 | + | 2.97831i | −0.287420 | + | 0.138414i | −0.572039 | − | 0.820227i | \(-0.693847\pi\) |
0.284619 | + | 0.958641i | \(0.408133\pi\) | |||||||
\(464\) | 5.20774 | − | 18.8553i | 0.241763 | − | 0.875335i | ||||
\(465\) | −2.65973 | − | 2.46787i | −0.123342 | − | 0.114445i | ||||
\(466\) | −3.73074 | − | 31.0367i | −0.172823 | − | 1.43775i | ||||
\(467\) | 5.56337 | − | 8.15996i | 0.257442 | − | 0.377598i | −0.675658 | − | 0.737215i | \(-0.736140\pi\) |
0.933100 | + | 0.359617i | \(0.117093\pi\) | |||||||
\(468\) | −11.8975 | + | 8.37326i | −0.549963 | + | 0.387054i | ||||
\(469\) | 7.72485 | − | 9.76519i | 0.356701 | − | 0.450915i | ||||
\(470\) | −28.5780 | + | 12.7220i | −1.31820 | + | 0.586824i | ||||
\(471\) | −0.00260133 | − | 0.00450564i | −0.000119863 | − | 0.000207609i | ||||
\(472\) | 22.9960 | − | 12.8175i | 1.05848 | − | 0.589972i | ||||
\(473\) | 23.7813 | − | 16.2138i | 1.09346 | − | 0.745511i | ||||
\(474\) | 1.83190 | − | 1.60032i | 0.0841418 | − | 0.0735051i | ||||
\(475\) | −14.0424 | − | 3.20509i | −0.644310 | − | 0.147060i | ||||
\(476\) | 16.4617 | + | 27.3139i | 0.754521 | + | 1.25193i | ||||
\(477\) | 34.1497 | − | 7.79445i | 1.56361 | − | 0.356883i | ||||
\(478\) | −16.1546 | + | 22.2326i | −0.738894 | + | 1.01689i | ||||
\(479\) | −32.3674 | − | 9.98402i | −1.47890 | − | 0.456181i | −0.552756 | − | 0.833343i | \(-0.686424\pi\) |
−0.926147 | + | 0.377162i | \(0.876900\pi\) | |||||||
\(480\) | 0.000885704 | − | 3.58591i | 4.04267e−5 | − | 0.163674i | ||||
\(481\) | 8.26388 | − | 2.54907i | 0.376801 | − | 0.116228i | ||||
\(482\) | −1.03626 | + | 34.5669i | −0.0472002 | + | 1.57448i | ||||
\(483\) | 2.16272 | + | 1.46209i | 0.0984071 | + | 0.0665275i | ||||
\(484\) | 6.35890 | + | 3.54638i | 0.289041 | + | 0.161199i | ||||
\(485\) | −25.4103 | − | 9.97282i | −1.15382 | − | 0.452842i | ||||
\(486\) | 5.14193 | + | 5.06608i | 0.233243 | + | 0.229802i | ||||
\(487\) | 7.49167 | − | 1.12919i | 0.339480 | − | 0.0511683i | 0.0229099 | − | 0.999738i | \(-0.492707\pi\) |
0.316570 | + | 0.948569i | \(0.397469\pi\) | |||||||
\(488\) | −6.00950 | + | 1.27643i | −0.272037 | + | 0.0577812i | ||||
\(489\) | −0.739316 | −0.0334330 | ||||||||
\(490\) | −26.5654 | − | 18.9855i | −1.20010 | − | 0.857675i | ||||
\(491\) | 32.7124i | 1.47629i | 0.674641 | + | 0.738146i | \(0.264298\pi\) | ||||
−0.674641 | + | 0.738146i | \(0.735702\pi\) | |||||||
\(492\) | −0.476062 | + | 0.615509i | −0.0214625 | + | 0.0277493i | ||||
\(493\) | 4.39274 | + | 29.1439i | 0.197839 | + | 1.31258i | ||||
\(494\) | −5.96961 | + | 6.05900i | −0.268586 | + | 0.272607i | ||||
\(495\) | 9.68643 | − | 24.6806i | 0.435373 | − | 1.10931i | ||||
\(496\) | −7.72739 | + | 21.5514i | −0.346970 | + | 0.967687i | ||||
\(497\) | 6.42234 | + | 20.5337i | 0.288081 | + | 0.921062i | ||||
\(498\) | −0.0297193 | + | 0.991362i | −0.00133176 | + | 0.0444240i | ||||
\(499\) | −1.04344 | − | 3.38276i | −0.0467110 | − | 0.151433i | 0.929213 | − | 0.369545i | \(-0.120486\pi\) |
−0.975924 | + | 0.218112i | \(0.930010\pi\) | |||||||
\(500\) | −2.97445 | − | 4.97950i | −0.133021 | − | 0.222690i | ||||
\(501\) | −0.755316 | + | 2.44867i | −0.0337450 | + | 0.109399i | ||||
\(502\) | 27.6621 | + | 20.0998i | 1.23462 | + | 0.897097i | ||||
\(503\) | 9.30049 | + | 40.7481i | 0.414688 | + | 1.81687i | 0.561226 | + | 0.827663i | \(0.310330\pi\) |
−0.146537 | + | 0.989205i | \(0.546813\pi\) | |||||||
\(504\) | 6.29857 | + | 21.2601i | 0.280560 | + | 0.947002i | ||||
\(505\) | −10.0679 | + | 44.1103i | −0.448015 | + | 1.96288i | ||||
\(506\) | −14.8339 | + | 12.9587i | −0.659447 | + | 0.576084i | ||||
\(507\) | 0.754918 | + | 1.10726i | 0.0335271 | + | 0.0491752i | ||||
\(508\) | −31.1734 | − | 11.7031i | −1.38309 | − | 0.519240i | ||||
\(509\) | 24.3849 | − | 14.0786i | 1.08084 | − | 0.624025i | 0.149719 | − | 0.988729i | \(-0.452163\pi\) |
0.931124 | + | 0.364703i | \(0.118830\pi\) | |||||||
\(510\) | 2.19732 | + | 4.93593i | 0.0972992 | + | 0.218567i | ||||
\(511\) | 4.81123 | − | 3.86788i | 0.212836 | − | 0.171105i | ||||
\(512\) | −20.8105 | + | 8.88389i | −0.919702 | + | 0.392616i | ||||
\(513\) | 2.31978 | + | 1.58160i | 0.102421 | + | 0.0698294i | ||||
\(514\) | 1.20145 | + | 9.99507i | 0.0529937 | + | 0.440864i | ||||
\(515\) | −6.19371 | + | 6.67523i | −0.272928 | + | 0.294146i | ||||
\(516\) | −1.71463 | + | 3.70015i | −0.0754825 | + | 0.162890i | ||||
\(517\) | −7.89359 | − | 16.3912i | −0.347160 | − | 0.720885i | ||||
\(518\) | 0.343142 | − | 13.1761i | 0.0150768 | − | 0.578924i | ||||
\(519\) | −3.02400 | − | 1.45628i | −0.132739 | − | 0.0639238i | ||||
\(520\) | −22.9005 | − | 0.346011i | −1.00426 | − | 0.0151736i | ||||
\(521\) | −0.958545 | + | 1.66025i | −0.0419946 | + | 0.0727368i | −0.886259 | − | 0.463191i | \(-0.846705\pi\) |
0.844264 | + | 0.535927i | \(0.180038\pi\) | |||||||
\(522\) | −2.14305 | + | 20.3800i | −0.0937985 | + | 0.892010i | ||||
\(523\) | 2.11633 | − | 14.0410i | 0.0925408 | − | 0.613968i | −0.893701 | − | 0.448662i | \(-0.851901\pi\) |
0.986242 | − | 0.165306i | \(-0.0528612\pi\) | |||||||
\(524\) | 2.20359 | − | 36.7200i | 0.0962641 | − | 1.60412i | ||||
\(525\) | −2.19943 | − | 2.02474i | −0.0959910 | − | 0.0883667i | ||||
\(526\) | 13.3649 | − | 25.7489i | 0.582737 | − | 1.12271i | ||||
\(527\) | −2.57788 | − | 34.3994i | −0.112294 | − | 1.49846i | ||||
\(528\) | 2.08458 | − | 0.0619768i | 0.0907196 | − | 0.00269719i | ||||
\(529\) | 1.22700 | + | 3.12635i | 0.0533480 | + | 0.135928i | ||||
\(530\) | 50.7042 | + | 21.6750i | 2.20245 | + | 0.941501i | ||||
\(531\) | −21.5629 | + | 17.1959i | −0.935752 | + | 0.746238i | ||||
\(532\) | 5.84320 | + | 11.5720i | 0.253335 | + | 0.501712i | ||||
\(533\) | 3.88562 | + | 3.09868i | 0.168305 | + | 0.134219i | ||||
\(534\) | 1.99586 | + | 3.70937i | 0.0863693 | + | 0.160520i | ||||
\(535\) | −0.282686 | + | 3.77218i | −0.0122216 | + | 0.163086i | ||||
\(536\) | −12.3159 | − | 5.04965i | −0.531965 | − | 0.218112i | ||||
\(537\) | 3.11031 | − | 2.88594i | 0.134220 | − | 0.124538i | ||||
\(538\) | 19.1149 | − | 22.5486i | 0.824101 | − | 0.972140i | ||||
\(539\) | 10.5737 | − | 15.7738i | 0.455440 | − | 0.679427i | ||||
\(540\) | 1.23773 | + | 7.45804i | 0.0532636 | + | 0.320943i | ||||
\(541\) | −5.44864 | − | 5.87224i | −0.234255 | − | 0.252467i | 0.604973 | − | 0.796246i | \(-0.293184\pi\) |
−0.839229 | + | 0.543778i | \(0.816993\pi\) | |||||||
\(542\) | −2.35609 | − | 1.45612i | −0.101203 | − | 0.0625458i | ||||
\(543\) | −0.233874 | + | 3.12083i | −0.0100365 | + | 0.133928i | ||||
\(544\) | 23.1952 | − | 24.9861i | 0.994488 | − | 1.07127i | ||||
\(545\) | 9.72032 | − | 12.1889i | 0.416373 | − | 0.522115i | ||||
\(546\) | −1.69993 | + | 0.476263i | −0.0727504 | + | 0.0203822i | ||||
\(547\) | −22.3487 | + | 17.8225i | −0.955560 | + | 0.762034i | −0.971304 | − | 0.237842i | \(-0.923560\pi\) |
0.0157437 | + | 0.999876i | \(0.494988\pi\) | |||||||
\(548\) | −20.8274 | − | 41.6534i | −0.889701 | − | 1.77935i | ||||
\(549\) | 5.99111 | − | 2.35134i | 0.255694 | − | 0.100353i | ||||
\(550\) | 19.0090 | − | 12.1421i | 0.810547 | − | 0.517741i | ||||
\(551\) | 0.895321 | + | 11.9472i | 0.0381420 | + | 0.508969i | ||||
\(552\) | 0.862802 | − | 2.65409i | 0.0367233 | − | 0.112966i | ||||
\(553\) | −22.0075 | + | 8.73734i | −0.935855 | + | 0.371550i | ||||
\(554\) | −4.70572 | − | 6.27785i | −0.199927 | − | 0.266720i | ||||
\(555\) | 0.332816 | − | 2.20809i | 0.0141273 | − | 0.0937282i | ||||
\(556\) | 14.5210 | − | 13.8807i | 0.615826 | − | 0.588674i | ||||
\(557\) | −23.9578 | − | 13.8320i | −1.01512 | − | 0.586082i | −0.102436 | − | 0.994740i | \(-0.532664\pi\) |
−0.912688 | + | 0.408657i | \(0.865997\pi\) | |||||||
\(558\) | 4.28380 | − | 23.5990i | 0.181348 | − | 0.999027i | ||||
\(559\) | 23.4674 | + | 11.3013i | 0.992566 | + | 0.477995i | ||||
\(560\) | −11.6523 | + | 32.9044i | −0.492398 | + | 1.39047i | ||||
\(561\) | −2.83106 | + | 1.36337i | −0.119527 | + | 0.0575614i | ||||
\(562\) | 6.57883 | + | 23.8424i | 0.277511 | + | 1.00573i | ||||
\(563\) | −9.65934 | + | 10.4103i | −0.407092 | + | 0.438741i | −0.903004 | − | 0.429632i | \(-0.858643\pi\) |
0.495912 | + | 0.868373i | \(0.334834\pi\) | |||||||
\(564\) | 2.15114 | + | 1.42026i | 0.0905792 | + | 0.0598037i | ||||
\(565\) | 7.99652 | − | 11.7287i | 0.336416 | − | 0.493432i | ||||
\(566\) | −1.14045 | + | 4.38635i | −0.0479369 | + | 0.184372i | ||||
\(567\) | −10.0327 | − | 20.6252i | −0.421333 | − | 0.866177i | ||||
\(568\) | 19.1971 | − | 12.6678i | 0.805494 | − | 0.531531i | ||||
\(569\) | 9.48596 | + | 16.4302i | 0.397672 | + | 0.688788i | 0.993438 | − | 0.114370i | \(-0.0364849\pi\) |
−0.595766 | + | 0.803158i | \(0.703152\pi\) | |||||||
\(570\) | 0.740767 | + | 2.06758i | 0.0310273 | + | 0.0866014i | ||||
\(571\) | −17.5719 | − | 25.7733i | −0.735362 | − | 1.07858i | −0.993651 | − | 0.112510i | \(-0.964111\pi\) |
0.258289 | − | 0.966068i | \(-0.416841\pi\) | |||||||
\(572\) | −0.197944 | − | 13.3186i | −0.00827645 | − | 0.556877i | ||||
\(573\) | 0.557355 | + | 0.127213i | 0.0232838 | + | 0.00531439i | ||||
\(574\) | 6.36740 | − | 4.10255i | 0.265770 | − | 0.171237i | ||||
\(575\) | −6.71667 | − | 29.4276i | −0.280104 | − | 1.22722i | ||||
\(576\) | 19.9801 | − | 12.7554i | 0.832503 | − | 0.531476i | ||||
\(577\) | 13.6861 | + | 4.22160i | 0.569759 | + | 0.175748i | 0.566231 | − | 0.824246i | \(-0.308401\pi\) |
0.00352796 | + | 0.999994i | \(0.498877\pi\) | |||||||
\(578\) | −8.83345 | + | 25.8593i | −0.367423 | + | 1.07561i | ||||
\(579\) | 0.456248 | + | 1.47912i | 0.0189610 | + | 0.0614701i | ||||
\(580\) | −21.5886 | + | 23.9718i | −0.896419 | + | 0.995376i | ||||
\(581\) | 3.49187 | − | 9.00105i | 0.144867 | − | 0.373426i | ||||
\(582\) | 0.434594 | + | 2.20698i | 0.0180145 | + | 0.0914824i | ||||
\(583\) | −11.7165 | + | 29.8531i | −0.485246 | + | 1.23639i | ||||
\(584\) | −5.39592 | − | 3.79954i | −0.223285 | − | 0.157226i | ||||
\(585\) | 23.7254 | − | 3.57603i | 0.980924 | − | 0.147851i | ||||
\(586\) | −0.648394 | − | 14.4536i | −0.0267849 | − | 0.597071i | ||||
\(587\) | 11.4370i | 0.472055i | 0.971746 | + | 0.236027i | \(0.0758455\pi\) | ||||
−0.971746 | + | 0.236027i | \(0.924155\pi\) | |||||||
\(588\) | −0.140048 | + | 2.68698i | −0.00577548 | + | 0.110809i | ||||
\(589\) | − | 14.0225i | − | 0.577787i | ||||||
\(590\) | −43.3743 | + | 1.94579i | −1.78569 | + | 0.0801070i | ||||
\(591\) | −0.453507 | + | 0.0683551i | −0.0186548 | + | 0.00281175i | ||||
\(592\) | −13.6381 | + | 3.54232i | −0.560522 | + | 0.145588i | ||||
\(593\) | −12.2718 | + | 31.2679i | −0.503941 | + | 1.28402i | 0.422083 | + | 0.906557i | \(0.361299\pi\) |
−0.926024 | + | 0.377464i | \(0.876796\pi\) | |||||||
\(594\) | −4.31393 | + | 0.849490i | −0.177003 | + | 0.0348550i | ||||
\(595\) | −4.13658 | − | 52.4313i | −0.169583 | − | 2.14947i | ||||
\(596\) | −15.2123 | − | 13.7000i | −0.623122 | − | 0.561173i | ||||
\(597\) | 0.267886 | + | 0.868464i | 0.0109638 | + | 0.0355438i | ||||
\(598\) | −16.8679 | − | 5.76200i | −0.689779 | − | 0.235626i | ||||
\(599\) | 29.4394 | + | 9.08085i | 1.20286 | + | 0.371033i | 0.830481 | − | 0.557047i | \(-0.188066\pi\) |
0.372380 | + | 0.928080i | \(0.378542\pi\) | |||||||
\(600\) | −1.42999 | + | 2.85813i | −0.0583791 | + | 0.116683i | ||||
\(601\) | −3.11877 | − | 13.6642i | −0.127217 | − | 0.557375i | −0.997856 | − | 0.0654517i | \(-0.979151\pi\) |
0.870639 | − | 0.491923i | \(-0.163706\pi\) | |||||||
\(602\) | 27.7500 | − | 28.3879i | 1.13100 | − | 1.15700i | ||||
\(603\) | 13.5949 | + | 3.10294i | 0.553627 | + | 0.126362i | ||||
\(604\) | 0.439798 | + | 29.5916i | 0.0178951 | + | 1.20406i | ||||
\(605\) | −6.76416 | − | 9.92120i | −0.275002 | − | 0.403354i | ||||
\(606\) | 3.50981 | − | 1.25749i | 0.142576 | − | 0.0510819i | ||||
\(607\) | 11.2427 | + | 19.4730i | 0.456329 | + | 0.790385i | 0.998764 | − | 0.0497132i | \(-0.0158307\pi\) |
−0.542435 | + | 0.840098i | \(0.682497\pi\) | |||||||
\(608\) | 10.1615 | − | 9.42378i | 0.412101 | − | 0.382185i | ||||
\(609\) | −1.07009 | + | 2.24460i | −0.0433622 | + | 0.0909558i | ||||
\(610\) | 9.80586 | + | 2.54953i | 0.397028 | + | 0.103227i | ||||
\(611\) | 9.27433 | − | 13.6029i | 0.375199 | − | 0.550316i | ||||
\(612\) | −19.6787 | + | 29.8055i | −0.795463 | + | 1.20482i | ||||
\(613\) | −8.96579 | + | 9.66283i | −0.362125 | + | 0.390278i | −0.887664 | − | 0.460492i | \(-0.847673\pi\) |
0.525539 | + | 0.850769i | \(0.323864\pi\) | |||||||
\(614\) | 18.2543 | − | 5.03689i | 0.736683 | − | 0.203272i | ||||
\(615\) | 1.15620 | − | 0.556794i | 0.0466223 | − | 0.0224521i | ||||
\(616\) | −19.3311 | − | 6.20026i | −0.778870 | − | 0.249816i | ||||
\(617\) | 20.4531 | + | 9.84967i | 0.823409 | + | 0.396533i | 0.797639 | − | 0.603135i | \(-0.206082\pi\) |
0.0257699 | + | 0.999668i | \(0.491796\pi\) | |||||||
\(618\) | 0.738299 | + | 0.134019i | 0.0296988 | + | 0.00539105i | ||||
\(619\) | −26.4377 | − | 15.2638i | −1.06262 | − | 0.613504i | −0.136465 | − | 0.990645i | \(-0.543574\pi\) |
−0.926156 | + | 0.377141i | \(0.876907\pi\) | |||||||
\(620\) | 27.2938 | − | 26.0904i | 1.09615 | − | 1.04782i | ||||
\(621\) | −0.876930 | + | 5.81805i | −0.0351900 | + | 0.233470i | ||||
\(622\) | 12.1698 | − | 9.12218i | 0.487965 | − | 0.365766i | ||||
\(623\) | −6.27064 | − | 40.5211i | −0.251228 | − | 1.62344i | ||||
\(624\) | 0.991795 | + | 1.60567i | 0.0397036 | + | 0.0642781i | ||||
\(625\) | −1.48194 | − | 19.7752i | −0.0592777 | − | 0.791007i | ||||
\(626\) | 21.3783 | + | 33.4688i | 0.854450 | + | 1.33768i | ||||
\(627\) | −1.18902 | + | 0.466654i | −0.0474847 | + | 0.0186364i | ||||
\(628\) | 0.0484253 | − | 0.0242134i | 0.00193238 | − | 0.000966220i | ||||
\(629\) | 16.5986 | − | 13.2370i | 0.661830 | − | 0.527792i | ||||
\(630\) | 6.38976 | − | 36.0057i | 0.254574 | − | 1.43450i | ||||
\(631\) | −30.4982 | + | 38.2435i | −1.21411 | + | 1.52245i | −0.428743 | + | 0.903427i | \(0.641043\pi\) |
−0.785372 | + | 0.619024i | \(0.787528\pi\) | |||||||
\(632\) | 15.4819 | + | 20.0270i | 0.615835 | + | 0.796631i | ||||
\(633\) | 0.0423527 | − | 0.565158i | 0.00168337 | − | 0.0224630i | ||||
\(634\) | −13.7763 | + | 22.2908i | −0.547126 | + | 0.885281i | ||||
\(635\) | 37.3512 | + | 40.2550i | 1.48224 | + | 1.59747i | ||||
\(636\) | −0.743929 | − | 4.48259i | −0.0294987 | − | 0.177746i | ||||
\(637\) | 17.1465 | + | 1.14942i | 0.679369 | + | 0.0455416i | ||||
\(638\) | −14.3115 | − | 12.1321i | −0.566598 | − | 0.480316i | ||||
\(639\) | −17.6628 | + | 16.3887i | −0.698731 | + | 0.648328i | ||||
\(640\) | 37.2493 | + | 2.24458i | 1.47241 | + | 0.0887249i | ||||
\(641\) | 0.964557 | − | 12.8711i | 0.0380977 | − | 0.508379i | −0.945214 | − | 0.326451i | \(-0.894147\pi\) |
0.983312 | − | 0.181928i | \(-0.0582337\pi\) | |||||||
\(642\) | 0.274497 | − | 0.147695i | 0.0108335 | − | 0.00582908i | ||||
\(643\) | 28.6305 | + | 22.8320i | 1.12908 | + | 0.900408i | 0.995880 | − | 0.0906819i | \(-0.0289046\pi\) |
0.133196 | + | 0.991090i | \(0.457476\pi\) | |||||||
\(644\) | −16.5361 | + | 21.5545i | −0.651614 | + | 0.849365i | ||||
\(645\) | 5.25827 | − | 4.19333i | 0.207044 | − | 0.165112i | ||||
\(646\) | −8.20770 | + | 19.2002i | −0.322927 | + | 0.755423i | ||||
\(647\) | 10.9755 | + | 27.9651i | 0.431491 | + | 1.09942i | 0.966974 | + | 0.254875i | \(0.0820343\pi\) |
−0.535483 | + | 0.844546i | \(0.679870\pi\) | |||||||
\(648\) | −18.2239 | + | 16.4040i | −0.715904 | + | 0.644411i | ||||
\(649\) | −1.88701 | − | 25.1804i | −0.0740716 | − | 0.988417i | ||||
\(650\) | 18.1170 | + | 9.40359i | 0.710609 | + | 0.368839i | ||||
\(651\) | 1.44528 | − | 2.52618i | 0.0566449 | − | 0.0990089i | ||||
\(652\) | 0.460873 | − | 7.67987i | 0.0180492 | − | 0.300767i | ||||
\(653\) | 4.38565 | − | 29.0969i | 0.171624 | − | 1.13865i | −0.722678 | − | 0.691185i | \(-0.757089\pi\) |
0.894302 | − | 0.447464i | \(-0.147673\pi\) | |||||||
\(654\) | −1.27763 | − | 0.134348i | −0.0499592 | − | 0.00525342i | ||||
\(655\) | −30.3335 | + | 52.5392i | −1.18523 | + | 2.05288i | ||||
\(656\) | −6.09702 | − | 5.32893i | −0.238049 | − | 0.208060i | ||||
\(657\) | 6.22891 | + | 2.99969i | 0.243013 | + | 0.117029i | ||||
\(658\) | −15.1288 | − | 20.0186i | −0.589781 | − | 0.780407i | ||||
\(659\) | −2.28247 | − | 4.73961i | −0.0889126 | − | 0.184629i | 0.851771 | − | 0.523915i | \(-0.175529\pi\) |
−0.940683 | + | 0.339286i | \(0.889815\pi\) | |||||||
\(660\) | −3.12061 | − | 1.44607i | −0.121469 | − | 0.0562884i | ||||
\(661\) | 13.1948 | − | 14.2206i | 0.513217 | − | 0.553116i | −0.422274 | − | 0.906468i | \(-0.638768\pi\) |
0.935490 | + | 0.353353i | \(0.114958\pi\) | |||||||
\(662\) | 15.9558 | − | 1.91796i | 0.620140 | − | 0.0745435i | ||||
\(663\) | −2.34947 | − | 1.60184i | −0.0912460 | − | 0.0622105i | ||||
\(664\) | −10.2796 | − | 0.926712i | −0.398924 | − | 0.0359634i | ||||
\(665\) | −0.0840726 | − | 21.3792i | −0.00326020 | − | 0.829051i | ||||
\(666\) | 13.4855 | − | 6.00331i | 0.522551 | − | 0.232624i | ||||
\(667\) | −21.7434 | + | 12.5536i | −0.841908 | + | 0.486076i | ||||
\(668\) | −24.9655 | − | 9.37253i | −0.965945 | − | 0.362634i | ||||
\(669\) | −2.42684 | − | 3.55952i | −0.0938271 | − | 0.137619i | ||||
\(670\) | 14.4423 | + | 16.5322i | 0.557956 | + | 0.638696i | ||||
\(671\) | −1.31121 | + | 5.74477i | −0.0506185 | + | 0.221774i | ||||
\(672\) | 2.80191 | − | 0.650390i | 0.108086 | − | 0.0250893i | ||||
\(673\) | −2.11007 | − | 9.24484i | −0.0813374 | − | 0.356362i | 0.917838 | − | 0.396954i | \(-0.129933\pi\) |
−0.999176 | + | 0.0405918i | \(0.987076\pi\) | |||||||
\(674\) | 11.8966 | − | 16.3725i | 0.458239 | − | 0.630647i | ||||
\(675\) | 1.98600 | − | 6.43845i | 0.0764411 | − | 0.247816i | ||||
\(676\) | −11.9726 | + | 7.15171i | −0.460486 | + | 0.275066i | ||||
\(677\) | 5.71126 | + | 18.5154i | 0.219501 | + | 0.711606i | 0.996612 | + | 0.0822424i | \(0.0262082\pi\) |
−0.777111 | + | 0.629364i | \(0.783316\pi\) | |||||||
\(678\) | −1.16921 | − | 0.0350509i | −0.0449031 | − | 0.00134612i | ||||
\(679\) | 3.17829 | − | 21.6643i | 0.121972 | − | 0.831400i | ||||
\(680\) | −52.6433 | + | 19.7484i | −2.01878 | + | 0.757318i | ||||
\(681\) | −0.430994 | + | 1.09816i | −0.0165157 | + | 0.0420814i | ||||
\(682\) | 15.6425 | + | 15.4117i | 0.598982 | + | 0.590146i | ||||
\(683\) | 3.06134 | + | 20.3106i | 0.117139 | + | 0.777165i | 0.967849 | + | 0.251531i | \(0.0809339\pi\) |
−0.850711 | + | 0.525635i | \(0.823828\pi\) | |||||||
\(684\) | −8.88237 | + | 11.4842i | −0.339626 | + | 0.439109i | ||||
\(685\) | 76.8030i | 2.93449i | ||||||||
\(686\) | 10.0103 | − | 24.2032i | 0.382196 | − | 0.924081i | ||||
\(687\) | 4.97170 | 0.189682 | ||||||||
\(688\) | −37.3676 | − | 20.1179i | −1.42463 | − | 0.766987i | ||||
\(689\) | −28.6976 | + | 4.32547i | −1.09329 | + | 0.164787i | ||||
\(690\) | −3.23024 | + | 3.27860i | −0.122973 | + | 0.124814i | ||||
\(691\) | −7.71014 | − | 3.02601i | −0.293308 | − | 0.115115i | 0.214125 | − | 0.976806i | \(-0.431310\pi\) |
−0.507432 | + | 0.861692i | \(0.669405\pi\) | |||||||
\(692\) | 17.0127 | − | 30.5050i | 0.646726 | − | 1.15962i | ||||
\(693\) | 21.0422 | + | 3.08702i | 0.799326 | + | 0.117266i | ||||
\(694\) | −37.4114 | − | 1.12153i | −1.42012 | − | 0.0425727i | ||||
\(695\) | −31.6572 | + | 9.76496i | −1.20083 | + | 0.370406i | ||||
\(696\) | 2.62234 | + | 0.435869i | 0.0993996 | + | 0.0165216i | ||||
\(697\) | 11.6587 | + | 3.59623i | 0.441604 | + | 0.136217i | ||||
\(698\) | −39.7294 | − | 28.8681i | −1.50378 | − | 1.09267i | ||||
\(699\) | 4.14165 | − | 0.945304i | 0.156652 | − | 0.0357547i | ||||
\(700\) | 22.4036 | − | 21.5851i | 0.846778 | − | 0.815839i | ||||
\(701\) | −23.9176 | − | 5.45904i | −0.903356 | − | 0.206185i | −0.254479 | − | 0.967078i | \(-0.581904\pi\) |
−0.648877 | + | 0.760893i | \(0.724761\pi\) | |||||||
\(702\) | −2.61771 | − | 2.99651i | −0.0987991 | − | 0.113096i | ||||
\(703\) | 7.13053 | − | 4.86152i | 0.268933 | − | 0.183356i | ||||
\(704\) | −0.655677 | + | 21.6928i | −0.0247118 | + | 0.817580i | ||||
\(705\) | −2.12555 | − | 3.68156i | −0.0800529 | − | 0.138656i | ||||
\(706\) | 3.02511 | + | 6.79540i | 0.113851 | + | 0.255748i | ||||
\(707\) | −36.2922 | + | 0.142717i | −1.36491 | + | 0.00536743i | ||||
\(708\) | 2.05912 | + | 2.92579i | 0.0773865 | + | 0.109958i | ||||
\(709\) | 8.98561 | − | 13.1795i | 0.337462 | − | 0.494965i | −0.619573 | − | 0.784939i | \(-0.712694\pi\) |
0.957035 | + | 0.289974i | \(0.0936466\pi\) | |||||||
\(710\) | −37.6603 | + | 4.52693i | −1.41337 | + | 0.169893i | ||||
\(711\) | −19.4393 | − | 18.0371i | −0.729032 | − | 0.676442i | ||||
\(712\) | −39.7764 | + | 18.4203i | −1.49068 | + | 0.690329i | ||||
\(713\) | 26.4758 | − | 12.7501i | 0.991525 | − | 0.477493i | ||||
\(714\) | −3.45758 | + | 2.61301i | −0.129397 | + | 0.0977895i | ||||
\(715\) | −9.53122 | + | 19.7918i | −0.356447 | + | 0.740171i | ||||
\(716\) | 28.0397 | + | 34.1083i | 1.04789 | + | 1.27469i | ||||
\(717\) | −3.23436 | − | 1.86736i | −0.120790 | − | 0.0697379i | ||||
\(718\) | −10.8850 | − | 1.14460i | −0.406225 | − | 0.0427163i | ||||
\(719\) | −9.48810 | − | 1.43010i | −0.353846 | − | 0.0533338i | −0.0302860 | − | 0.999541i | \(-0.509642\pi\) |
−0.323560 | + | 0.946208i | \(0.604880\pi\) | |||||||
\(720\) | −38.8798 | + | 4.07866i | −1.44896 | + | 0.152003i | ||||
\(721\) | −6.34006 | − | 3.62727i | −0.236116 | − | 0.135086i | ||||
\(722\) | 8.46833 | − | 16.3152i | 0.315159 | − | 0.607188i | ||||
\(723\) | −4.68651 | + | 0.351205i | −0.174293 | + | 0.0130615i | ||||
\(724\) | −32.2728 | − | 4.37489i | −1.19941 | − | 0.162592i | ||||
\(725\) | 26.7639 | − | 10.5041i | 0.993988 | − | 0.390111i | ||||
\(726\) | −0.388928 | + | 0.909819i | −0.0144345 | + | 0.0337665i | ||||
\(727\) | 11.6045 | + | 14.5516i | 0.430388 | + | 0.539690i | 0.948982 | − | 0.315331i | \(-0.102116\pi\) |
−0.518593 | + | 0.855021i | \(0.673544\pi\) | |||||||
\(728\) | −3.88763 | − | 17.9555i | −0.144085 | − | 0.665474i | ||||
\(729\) | 15.6034 | − | 19.5660i | 0.577903 | − | 0.724667i | ||||
\(730\) | 5.15696 | + | 9.58438i | 0.190868 | + | 0.354734i | ||||
\(731\) | 63.7643 | + | 4.77848i | 2.35841 | + | 0.176738i | ||||
\(732\) | −0.257918 | − | 0.794056i | −0.00953291 | − | 0.0293491i | ||||
\(733\) | 5.48843 | + | 5.91512i | 0.202720 | + | 0.218480i | 0.826227 | − | 0.563338i | \(-0.190483\pi\) |
−0.623507 | + | 0.781818i | \(0.714293\pi\) | |||||||
\(734\) | −6.05959 | − | 5.13682i | −0.223664 | − | 0.189604i | ||||
\(735\) | 2.18838 | − | 3.86018i | 0.0807196 | − | 0.142385i | ||||
\(736\) | 27.0324 | + | 10.6171i | 0.996426 | + | 0.391353i | ||||
\(737\) | −9.35883 | + | 8.68372i | −0.344737 | + | 0.319869i | ||||
\(738\) | 7.21615 | + | 4.45976i | 0.265630 | + | 0.164166i | ||||
\(739\) | −14.7620 | − | 1.10626i | −0.543027 | − | 0.0406943i | −0.199607 | − | 0.979876i | \(-0.563966\pi\) |
−0.343420 | + | 0.939182i | \(0.611586\pi\) | |||||||
\(740\) | 22.7297 | + | 4.83370i | 0.835562 | + | 0.177691i | ||||
\(741\) | −0.903724 | − | 0.720696i | −0.0331991 | − | 0.0264754i | ||||
\(742\) | −7.72889 | + | 43.5516i | −0.283737 | + | 1.59883i | ||||
\(743\) | −26.1401 | − | 32.7787i | −0.958989 | − | 1.20253i | −0.979233 | − | 0.202739i | \(-0.935016\pi\) |
0.0202441 | − | 0.999795i | \(-0.493556\pi\) | |||||||
\(744\) | −3.02254 | − | 0.738088i | −0.110812 | − | 0.0270596i | ||||
\(745\) | 12.3347 | + | 31.4283i | 0.451909 | + | 1.15145i | ||||
\(746\) | −13.1886 | + | 8.42425i | −0.482867 | + | 0.308434i | ||||
\(747\) | 10.7823 | − | 0.808022i | 0.394504 | − | 0.0295640i | ||||
\(748\) | −12.3976 | − | 30.2584i | −0.453300 | − | 1.10636i | ||||
\(749\) | −2.99860 | + | 0.464033i | −0.109567 | + | 0.0169554i | ||||
\(750\) | 0.630718 | − | 0.472770i | 0.0230306 | − | 0.0172631i | ||||
\(751\) | 11.7477 | + | 1.77068i | 0.428679 | + | 0.0646130i | 0.359838 | − | 0.933015i | \(-0.382832\pi\) |
0.0688407 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(752\) | −16.0944 | + | 21.4603i | −0.586901 | + | 0.782575i | ||||
\(753\) | −2.32340 | + | 4.02424i | −0.0846693 | + | 0.146652i | ||||
\(754\) | 3.03247 | − | 16.7056i | 0.110436 | − | 0.608383i | ||||
\(755\) | 21.1767 | − | 43.9739i | 0.770700 | − | 1.60038i | ||||
\(756\) | −5.60238 | + | 2.32120i | −0.203756 | + | 0.0844211i | ||||
\(757\) | 5.05915 | + | 10.5054i | 0.183878 | + | 0.381826i | 0.972448 | − | 0.233118i | \(-0.0748928\pi\) |
−0.788571 | + | 0.614944i | \(0.789179\pi\) | |||||||
\(758\) | 17.2801 | − | 4.76808i | 0.627641 | − | 0.173185i | ||||
\(759\) | −1.96221 | − | 1.82066i | −0.0712237 | − | 0.0660859i | ||||
\(760\) | −21.9394 | + | 6.40607i | −0.795826 | + | 0.232372i | ||||
\(761\) | −7.91905 | − | 5.39912i | −0.287066 | − | 0.195718i | 0.411222 | − | 0.911535i | \(-0.365102\pi\) |
−0.698288 | + | 0.715817i | \(0.746054\pi\) | |||||||
\(762\) | 1.13866 | − | 4.37947i | 0.0412495 | − | 0.158651i | ||||
\(763\) | 11.2883 | + | 5.38158i | 0.408664 | + | 0.194826i | ||||
\(764\) | −1.66890 | + | 5.71040i | −0.0603788 | + | 0.206595i | ||||
\(765\) | 51.0106 | − | 29.4510i | 1.84429 | − | 1.06480i | ||||
\(766\) | −20.4094 | + | 7.31224i | −0.737423 | + | 0.264202i | ||||
\(767\) | 18.8804 | − | 12.8724i | 0.681730 | − | 0.464796i | ||||
\(768\) | −1.49643 | − | 2.68632i | −0.0539978 | − | 0.0969343i | ||||
\(769\) | −6.85068 | + | 30.0148i | −0.247042 | + | 1.08236i | 0.687409 | + | 0.726270i | \(0.258748\pi\) |
−0.934451 | + | 0.356091i | \(0.884109\pi\) | |||||||
\(770\) | 23.9416 | + | 23.4036i | 0.862794 | + | 0.843406i | ||||
\(771\) | −1.33378 | + | 0.304426i | −0.0480349 | + | 0.0109636i | ||||
\(772\) | −15.6492 | + | 3.81736i | −0.563228 | + | 0.137390i | ||||
\(773\) | 9.80332 | − | 31.7816i | 0.352601 | − | 1.14310i | −0.589498 | − | 0.807770i | \(-0.700674\pi\) |
0.942099 | − | 0.335335i | \(-0.108849\pi\) | |||||||
\(774\) | 42.0722 | + | 14.3717i | 1.51225 | + | 0.516580i | ||||
\(775\) | −32.1562 | + | 9.91887i | −1.15508 | + | 0.356296i | ||||
\(776\) | −23.1966 | + | 3.13870i | −0.832711 | + | 0.112673i | ||||
\(777\) | 1.78565 | − | 0.140880i | 0.0640599 | − | 0.00505403i | ||||
\(778\) | −6.50140 | − | 33.0158i | −0.233086 | − | 1.18367i | ||||
\(779\) | 4.61673 | + | 1.81193i | 0.165411 | + | 0.0649192i | ||||
\(780\) | −0.278694 | − | 3.09997i | −0.00997884 | − | 0.110997i | ||||
\(781\) | −3.28790 | − | 21.8138i | −0.117650 | − | 0.780559i | ||||
\(782\) | −43.7148 | + | 1.96107i | −1.56324 | + | 0.0701276i | ||||
\(783\) | −5.60443 | −0.200286 | ||||||||
\(784\) | −27.8245 | − | 3.12979i | −0.993733 | − | 0.111778i | ||||
\(785\) | −0.0892894 | −0.00318687 | ||||||||
\(786\) | 4.99409 | − | 0.224038i | 0.178133 | − | 0.00799117i | ||||
\(787\) | −0.612336 | − | 4.06258i | −0.0218274 | − | 0.144815i | 0.975263 | − | 0.221050i | \(-0.0709484\pi\) |
−0.997090 | + | 0.0762344i | \(0.975710\pi\) | |||||||
\(788\) | −0.427354 | − | 4.75355i | −0.0152239 | − | 0.169338i | ||||
\(789\) | 3.66996 | + | 1.44035i | 0.130654 | + | 0.0512779i | ||||
\(790\) | −8.06573 | − | 40.9599i | −0.286966 | − | 1.45729i | ||||
\(791\) | 10.6158 | + | 4.11829i | 0.377454 | + | 0.146430i | ||||
\(792\) | −3.04856 | − | 22.5305i | −0.108326 | − | 0.800587i | ||||
\(793\) | −5.09554 | + | 1.57176i | −0.180948 | + | 0.0558150i | ||||
\(794\) | 46.6617 | + | 15.9395i | 1.65596 | + | 0.565670i | ||||
\(795\) | −2.20882 | + | 7.16081i | −0.0783387 | + | 0.253968i | ||||
\(796\) | −9.18843 | + | 2.24136i | −0.325675 | + | 0.0794430i | ||||
\(797\) | 20.3483 | − | 4.64437i | 0.720774 | − | 0.164512i | 0.153628 | − | 0.988129i | \(-0.450904\pi\) |
0.567147 | + | 0.823617i | \(0.308047\pi\) | |||||||
\(798\) | −1.48094 | + | 0.954179i | −0.0524248 | + | 0.0337776i | ||||
\(799\) | 8.99367 | − | 39.4038i | 0.318173 | − | 1.39401i | ||||
\(800\) | −28.7983 | − | 16.6362i | −1.01817 | − | 0.588177i | ||||
\(801\) | 37.9418 | − | 25.8683i | 1.34061 | − | 0.914011i | ||||
\(802\) | −23.8169 | + | 8.53305i | −0.841003 | + | 0.301312i | ||||
\(803\) | −5.48172 | + | 3.16487i | −0.193446 | + | 0.111686i | ||||
\(804\) | 0.507440 | − | 1.73628i | 0.0178960 | − | 0.0612339i | ||||
\(805\) | 40.2895 | − | 19.5980i | 1.42002 | − | 0.690738i | ||||
\(806\) | −5.00051 | + | 19.2327i | −0.176135 | + | 0.677442i | ||||
\(807\) | 3.31915 | + | 2.26296i | 0.116840 | + | 0.0796598i | ||||
\(808\) | 10.8746 | + | 37.2432i | 0.382567 | + | 1.31021i | ||||
\(809\) | 18.5141 | + | 17.1786i | 0.650921 | + | 0.603966i | 0.934920 | − | 0.354858i | \(-0.115471\pi\) |
−0.283999 | + | 0.958824i | \(0.591661\pi\) | |||||||
\(810\) | 38.9804 | − | 10.7558i | 1.36963 | − | 0.377922i | ||||
\(811\) | −10.9652 | − | 22.7696i | −0.385042 | − | 0.799547i | −0.999940 | − | 0.0109409i | \(-0.996517\pi\) |
0.614899 | − | 0.788606i | \(-0.289197\pi\) | |||||||
\(812\) | −22.6494 | − | 12.5151i | −0.794839 | − | 0.439195i | ||||
\(813\) | 0.163314 | − | 0.339124i | 0.00572766 | − | 0.0118936i | ||||
\(814\) | −2.41382 | + | 13.2975i | −0.0846042 | + | 0.466077i | ||||
\(815\) | −6.34416 | + | 10.9884i | −0.222226 | + | 0.384907i | ||||
\(816\) | 3.70657 | + | 2.77979i | 0.129756 | + | 0.0973120i | ||||
\(817\) | 25.7024 | + | 3.87401i | 0.899213 | + | 0.135535i | ||||
\(818\) | −35.6079 | + | 26.6908i | −1.24500 | + | 0.933221i | ||||
\(819\) | 7.10176 | + | 17.8878i | 0.248155 | + | 0.625051i | ||||
\(820\) | 5.06313 | + | 12.3574i | 0.176812 | + | 0.431540i | ||||
\(821\) | −46.7985 | + | 3.50706i | −1.63328 | + | 0.122397i | −0.859526 | − | 0.511092i | \(-0.829241\pi\) |
−0.773751 | + | 0.633489i | \(0.781622\pi\) | |||||||
\(822\) | 5.33355 | − | 3.40683i | 0.186029 | − | 0.118827i | ||||
\(823\) | −3.17454 | − | 8.08859i | −0.110657 | − | 0.281951i | 0.864808 | − | 0.502102i | \(-0.167440\pi\) |
−0.975466 | + | 0.220152i | \(0.929345\pi\) | |||||||
\(824\) | −1.85241 | + | 7.58577i | −0.0645316 | + | 0.264263i | ||||
\(825\) | 1.91118 | + | 2.39655i | 0.0665388 | + | 0.0834370i | ||||
\(826\) | −9.39560 | − | 33.5359i | −0.326915 | − | 1.16686i | ||||
\(827\) | −32.2246 | − | 25.6982i | −1.12056 | − | 0.893615i | −0.125420 | − | 0.992104i | \(-0.540028\pi\) |
−0.995138 | + | 0.0984886i | \(0.968599\pi\) | |||||||
\(828\) | −29.7596 | − | 6.32867i | −1.03422 | − | 0.219936i | ||||
\(829\) | 24.7186 | + | 1.85240i | 0.858511 | + | 0.0643365i | 0.496708 | − | 0.867918i | \(-0.334542\pi\) |
0.361804 | + | 0.932254i | \(0.382161\pi\) | |||||||
\(830\) | 14.4795 | + | 8.94872i | 0.502592 | + | 0.310615i | ||||
\(831\) | 0.781587 | − | 0.725207i | 0.0271129 | − | 0.0251571i | ||||
\(832\) | −17.2976 | + | 9.30164i | −0.599687 | + | 0.322476i | ||||
\(833\) | 40.2145 | − | 12.7518i | 1.39335 | − | 0.441822i | ||||
\(834\) | 2.08238 | + | 1.76527i | 0.0721068 | + | 0.0611262i | ||||
\(835\) | 29.9130 | + | 32.2386i | 1.03518 | + | 1.11566i | ||||
\(836\) | −4.10631 | − | 12.6422i | −0.142020 | − | 0.437239i | ||||
\(837\) | 6.54120 | + | 0.490195i | 0.226097 | + | 0.0169436i | ||||
\(838\) | 19.8672 | + | 36.9238i | 0.686301 | + | 1.27551i | ||||
\(839\) | 16.9408 | − | 21.2431i | 0.584860 | − | 0.733392i | −0.398073 | − | 0.917354i | \(-0.630321\pi\) |
0.982933 | + | 0.183962i | \(0.0588924\pi\) | |||||||
\(840\) | −4.61270 | − | 1.10720i | −0.159153 | − | 0.0382019i | ||||
\(841\) | 3.17034 | + | 3.97548i | 0.109322 | + | 0.137086i | ||||
\(842\) | 19.2952 | − | 45.1372i | 0.664957 | − | 1.55553i | ||||
\(843\) | −3.12886 | + | 1.22799i | −0.107764 | + | 0.0422941i | ||||
\(844\) | 5.84435 | + | 0.792259i | 0.201171 | + | 0.0272707i | ||||
\(845\) | 22.9352 | − | 1.71876i | 0.788996 | − | 0.0591271i | ||||
\(846\) | 12.9461 | − | 24.9420i | 0.445095 | − | 0.857525i | ||||
\(847\) | 6.52348 | − | 7.08632i | 0.224149 | − | 0.243489i | ||||
\(848\) | 47.0280 | − | 4.93345i | 1.61495 | − | 0.169415i | ||||
\(849\) | −0.609032 | − | 0.0917967i | −0.0209019 | − | 0.00315046i | ||||
\(850\) | 49.8355 | + | 5.24041i | 1.70934 | + | 0.179745i | ||||
\(851\) | 15.6625 | + | 9.04274i | 0.536903 | + | 0.309981i | ||||
\(852\) | 1.98491 | + | 2.41450i | 0.0680019 | + | 0.0827194i | ||||
\(853\) | 6.94130 | − | 14.4138i | 0.237665 | − | 0.493517i | −0.747686 | − | 0.664052i | \(-0.768835\pi\) |
0.985352 | + | 0.170535i | \(0.0545495\pi\) | |||||||
\(854\) | −0.211582 | + | 8.12441i | −0.00724020 | + | 0.278012i | ||||
\(855\) | 21.5723 | − | 10.3887i | 0.737758 | − | 0.355286i | ||||
\(856\) | 1.36312 | + | 2.94349i | 0.0465904 | + | 0.100606i | ||||
\(857\) | 6.84053 | + | 6.34709i | 0.233668 | + | 0.216812i | 0.788312 | − | 0.615275i | \(-0.210955\pi\) |
−0.554644 | + | 0.832088i | \(0.687146\pi\) | |||||||
\(858\) | 1.79722 | − | 0.216033i | 0.0613560 | − | 0.00737525i | ||||
\(859\) | −16.1121 | + | 23.6321i | −0.549739 | + | 0.806319i | −0.996072 | − | 0.0885483i | \(-0.971777\pi\) |
0.446333 | + | 0.894867i | \(0.352730\pi\) | |||||||
\(860\) | 40.2816 | + | 57.2359i | 1.37359 | + | 1.95173i | ||||
\(861\) | 0.644961 | + | 0.802263i | 0.0219802 | + | 0.0273410i | ||||
\(862\) | 15.0841 | + | 33.8840i | 0.513767 | + | 1.15409i | ||||
\(863\) | −6.97180 | − | 12.0755i | −0.237323 | − | 0.411055i | 0.722622 | − | 0.691243i | \(-0.242937\pi\) |
−0.959945 | + | 0.280188i | \(0.909603\pi\) | |||||||
\(864\) | 4.04077 | + | 5.06954i | 0.137470 | + | 0.172469i | ||||
\(865\) | −47.5940 | + | 32.4491i | −1.61825 | + | 1.10330i | ||||
\(866\) | −0.674437 | − | 0.772032i | −0.0229183 | − | 0.0262347i | ||||
\(867\) | −3.62048 | − | 0.826351i | −0.122958 | − | 0.0280643i | ||||
\(868\) | 25.3406 | + | 16.5880i | 0.860115 | + | 0.563035i | ||||
\(869\) | 23.6702 | − | 5.40258i | 0.802958 | − | 0.183270i | ||||
\(870\) | −3.54665 | − | 2.57706i | −0.120243 | − | 0.0873706i | ||||
\(871\) | −11.0402 | − | 3.40545i | −0.374083 | − | 0.115389i | ||||
\(872\) | 2.19203 | − | 13.1880i | 0.0742313 | − | 0.446602i | ||||
\(873\) | 23.4328 | − | 7.22807i | 0.793081 | − | 0.244633i | ||||
\(874\) | −17.7798 | − | 0.533009i | −0.601411 | − | 0.0180293i | ||||
\(875\) | −7.32316 | + | 2.29047i | −0.247568 | + | 0.0774321i | ||||
\(876\) | 0.436830 | − | 0.783267i | 0.0147591 | − | 0.0264642i | ||||
\(877\) | 38.0978 | + | 14.9523i | 1.28647 | + | 0.504902i | 0.907323 | − | 0.420434i | \(-0.138122\pi\) |
0.379147 | + | 0.925336i | \(0.376217\pi\) | |||||||
\(878\) | −5.89056 | + | 5.97876i | −0.198797 | + | 0.201773i | ||||
\(879\) | 1.94421 | − | 0.293043i | 0.0655766 | − | 0.00988409i | ||||
\(880\) | 16.9669 | − | 31.5148i | 0.571953 | − | 1.06236i | ||||
\(881\) | −29.9935 | −1.01051 | −0.505254 | − | 0.862971i | \(-0.668601\pi\) | ||||
−0.505254 | + | 0.862971i | \(0.668601\pi\) | |||||||
\(882\) | 29.2921 | − | 1.54499i | 0.986317 | − | 0.0520225i | ||||
\(883\) | 22.0162i | 0.740904i | 0.928852 | + | 0.370452i | \(0.120797\pi\) | ||||
−0.928852 | + | 0.370452i | \(0.879203\pi\) | |||||||
\(884\) | 18.1043 | − | 23.4073i | 0.608913 | − | 0.787274i | ||||
\(885\) | −0.879404 | − | 5.83446i | −0.0295608 | − | 0.196123i | ||||
\(886\) | −31.0077 | − | 30.5503i | −1.04173 | − | 1.02636i | ||||
\(887\) | 5.27791 | − | 13.4479i | 0.177215 | − | 0.451536i | −0.814473 | − | 0.580201i | \(-0.802974\pi\) |
0.991688 | + | 0.128665i | \(0.0410692\pi\) | |||||||
\(888\) | −0.672573 | − | 1.79287i | −0.0225701 | − | 0.0601648i | ||||
\(889\) | −24.6703 | + | 36.4921i | −0.827414 | + | 1.22391i | ||||
\(890\) | 72.2588 | + | 2.16620i | 2.42212 | + | 0.0726111i | ||||
\(891\) | 6.93190 | + | 22.4727i | 0.232227 | + | 0.752862i | ||||
\(892\) | 38.4885 | − | 22.9906i | 1.28869 | − | 0.769784i | ||||
\(893\) | 4.84267 | − | 15.6996i | 0.162054 | − | 0.525366i | ||||
\(894\) | 1.63538 | − | 2.25068i | 0.0546954 | − | 0.0752740i | ||||
\(895\) | −16.2037 | − | 70.9929i | −0.541629 | − | 2.37303i | ||||
\(896\) | 5.00948 | + | 29.5111i | 0.167355 | + | 0.985897i | ||||
\(897\) | 0.539023 | − | 2.36161i | 0.0179975 | − | 0.0788520i | ||||
\(898\) | −27.0533 | − | 30.9680i | −0.902779 | − | 1.03342i | ||||
\(899\) | 15.7678 | + | 23.1271i | 0.525885 | + | 0.771331i | ||||
\(900\) | 32.6184 | + | 12.2456i | 1.08728 | + | 0.408185i | ||||
\(901\) | −61.7011 | + | 35.6232i | −2.05556 | + | 1.18678i | ||||
\(902\) | −7.09538 | + | 3.15865i | −0.236250 | + | 0.105171i | ||||
\(903\) | 4.23106 | + | 3.34702i | 0.140801 | + | 0.111382i | ||||
\(904\) | 1.09296 | − | 12.1237i | 0.0363513 | − | 0.403227i | ||||
\(905\) | 44.3778 | + | 30.2563i | 1.47517 | + | 1.00575i | ||||
\(906\) | −3.99311 | + | 0.479989i | −0.132662 | + | 0.0159466i | ||||
\(907\) | −6.70491 | + | 7.22617i | −0.222633 | + | 0.239941i | −0.834485 | − | 0.551031i | \(-0.814234\pi\) |
0.611852 | + | 0.790973i | \(0.290425\pi\) | |||||||
\(908\) | −11.1388 | − | 5.16165i | −0.369653 | − | 0.171295i | ||||
\(909\) | −17.6353 | − | 36.6200i | −0.584925 | − | 1.21461i | ||||
\(910\) | −7.50866 | + | 29.3529i | −0.248910 | + | 0.973038i | ||||
\(911\) | 2.11294 | + | 1.01754i | 0.0700048 | + | 0.0337125i | 0.468559 | − | 0.883432i | \(-0.344773\pi\) |
−0.398554 | + | 0.917145i | \(0.630488\pi\) | |||||||
\(912\) | 1.41806 | + | 1.23941i | 0.0469565 | + | 0.0410410i | ||||
\(913\) | −4.94973 | + | 8.57319i | −0.163812 | + | 0.283731i | ||||
\(914\) | 34.2570 | + | 3.60227i | 1.13312 | + | 0.119153i | ||||
\(915\) | −0.205215 | + | 1.36151i | −0.00678421 | + | 0.0450103i | ||||
\(916\) | −3.09925 | + | 51.6451i | −0.102402 | + | 1.70640i | ||||
\(917\) | −46.5574 | − | 14.1608i | −1.53746 | − | 0.467631i | ||||
\(918\) | −8.66958 | − | 4.49991i | −0.286139 | − | 0.148519i | ||||
\(919\) | −2.60820 | − | 34.8040i | −0.0860365 | − | 1.14808i | −0.858429 | − | 0.512932i | \(-0.828559\pi\) |
0.772393 | − | 0.635145i | \(-0.219060\pi\) | |||||||
\(920\) | −32.0438 | − | 35.5989i | −1.05645 | − | 1.17366i | ||||
\(921\) | 0.940172 | + | 2.39552i | 0.0309797 | + | 0.0789350i | ||||
\(922\) | 4.54135 | − | 10.6236i | 0.149561 | − | 0.349869i | ||||
\(923\) | 15.6080 | − | 12.4470i | 0.513745 | − | 0.409698i | ||||
\(924\) | 0.563249 | − | 2.70075i | 0.0185295 | − | 0.0888481i | ||||
\(925\) | −16.1922 | − | 12.9128i | −0.532396 | − | 0.424571i | ||||
\(926\) | 8.54870 | − | 4.59971i | 0.280928 | − | 0.151156i | ||||
\(927\) | 0.611320 | − | 8.15750i | 0.0200784 | − | 0.267927i | ||||
\(928\) | −6.16243 | + | 26.9687i | −0.202292 | + | 0.885290i | ||||
\(929\) | 21.3379 | − | 19.7986i | 0.700072 | − | 0.649572i | −0.247583 | − | 0.968867i | \(-0.579636\pi\) |
0.947656 | + | 0.319294i | \(0.103446\pi\) | |||||||
\(930\) | 3.91406 | + | 3.31802i | 0.128347 | + | 0.108802i | ||||
\(931\) | 16.6887 | − | 3.94744i | 0.546951 | − | 0.129372i | ||||
\(932\) | 7.23783 | + | 43.6119i | 0.237083 | + | 1.42856i | ||||
\(933\) | 1.40584 | + | 1.51513i | 0.0460250 | + | 0.0496031i | ||||
\(934\) | −7.34272 | + | 11.8809i | −0.240261 | + | 0.388756i | ||||
\(935\) | −4.03004 | + | 53.7771i | −0.131796 | + | 1.75870i | ||||
\(936\) | 16.2780 | − | 12.5837i | 0.532064 | − | 0.411312i | ||||
\(937\) | −3.32272 | + | 4.16655i | −0.108548 | + | 0.136115i | −0.833138 | − | 0.553065i | \(-0.813458\pi\) |
0.724589 | + | 0.689181i | \(0.242029\pi\) | |||||||
\(938\) | −10.2947 | + | 14.2858i | −0.336134 | + | 0.466447i | ||||
\(939\) | −4.21954 | + | 3.36497i | −0.137700 | + | 0.109812i | ||||
\(940\) | 39.5684 | − | 19.7848i | 1.29058 | − | 0.645310i | ||||
\(941\) | −19.6791 | + | 7.72346i | −0.641519 | + | 0.251778i | −0.663726 | − | 0.747976i | \(-0.731026\pi\) |
0.0222069 | + | 0.999753i | \(0.492931\pi\) | |||||||
\(942\) | 0.00396070 | + | 0.00620066i | 0.000129047 | + | 0.000202028i | ||||
\(943\) | 0.776699 | + | 10.3643i | 0.0252928 | + | 0.337509i | ||||
\(944\) | −31.6762 | + | 19.5659i | −1.03097 | + | 0.636816i | ||||
\(945\) | 9.97590 | + | 0.708152i | 0.324516 | + | 0.0230362i | ||||
\(946\) | −32.5704 | + | 24.4140i | −1.05895 | + | 0.793766i | ||||
\(947\) | −4.18515 | + | 27.7666i | −0.135999 | + | 0.902295i | 0.811917 | + | 0.583773i | \(0.198424\pi\) |
−0.947916 | + | 0.318521i | \(0.896814\pi\) | |||||||
\(948\) | −2.48666 | + | 2.37702i | −0.0807630 | + | 0.0772021i | ||||
\(949\) | −4.96070 | − | 2.86406i | −0.161031 | − | 0.0929713i | ||||
\(950\) | 20.0422 | + | 3.63814i | 0.650253 | + | 0.118037i | ||||
\(951\) | −3.20843 | − | 1.54510i | −0.104041 | − | 0.0501033i | ||||
\(952\) | −24.9881 | − | 37.5455i | −0.809869 | − | 1.21686i | ||||
\(953\) | −18.9007 | + | 9.10210i | −0.612254 | + | 0.294846i | −0.714197 | − | 0.699944i | \(-0.753208\pi\) |
0.101944 | + | 0.994790i | \(0.467494\pi\) | |||||||
\(954\) | −47.7525 | + | 13.1763i | −1.54604 | + | 0.426599i | ||||
\(955\) | 6.67349 | − | 7.19231i | 0.215949 | − | 0.232738i | ||||
\(956\) | 21.4140 | − | 32.4339i | 0.692579 | − | 1.04899i | ||||
\(957\) | 1.43629 | − | 2.10665i | 0.0464286 | − | 0.0680983i | ||||
\(958\) | 46.3612 | + | 12.0539i | 1.49786 | + | 0.389445i | ||||
\(959\) | −60.0077 | + | 13.9449i | −1.93775 | + | 0.450303i | ||||
\(960\) | 0.226019 | + | 5.06621i | 0.00729474 | + | 0.163511i | ||||
\(961\) | −0.880484 | − | 1.52504i | −0.0284027 | − | 0.0491949i | ||||
\(962\) | −11.5136 | + | 4.12506i | −0.371213 | + | 0.132997i | ||||
\(963\) | −1.91428 | − | 2.80773i | −0.0616867 | − | 0.0904778i | ||||
\(964\) | −0.726787 | − | 48.9015i | −0.0234082 | − | 1.57501i | ||||
\(965\) | 25.8992 | + | 5.91132i | 0.833724 | + | 0.190292i | ||||
\(966\) | −3.14814 | − | 1.92856i | −0.101290 | − | 0.0620505i | ||||
\(967\) | 2.26588 | + | 9.92748i | 0.0728658 | + | 0.319246i | 0.998205 | − | 0.0598951i | \(-0.0190766\pi\) |
−0.925339 | + | 0.379141i | \(0.876219\pi\) | |||||||
\(968\) | −9.20858 | − | 4.60728i | −0.295975 | − | 0.148083i | ||||
\(969\) | −2.71160 | − | 0.836417i | −0.0871090 | − | 0.0268696i | ||||
\(970\) | 36.5316 | + | 12.4791i | 1.17296 | + | 0.400678i | ||||
\(971\) | −16.8167 | − | 54.5183i | −0.539672 | − | 1.74957i | −0.654370 | − | 0.756174i | \(-0.727066\pi\) |
0.114698 | − | 0.993400i | \(-0.463410\pi\) | |||||||
\(972\) | −7.58556 | − | 6.83143i | −0.243307 | − | 0.219118i | ||||
\(973\) | −13.3774 | − | 22.9614i | −0.428861 | − | 0.736109i | ||||
\(974\) | −10.5126 | + | 2.07012i | −0.336846 | + | 0.0663309i | ||||
\(975\) | −1.01344 | + | 2.58220i | −0.0324560 | + | 0.0826965i | ||||
\(976\) | 8.40928 | − | 2.18420i | 0.269174 | − | 0.0699146i | ||||
\(977\) | −35.5120 | + | 5.35257i | −1.13613 | + | 0.171244i | −0.690058 | − | 0.723754i | \(-0.742415\pi\) |
−0.446070 | + | 0.894998i | \(0.647177\pi\) | |||||||
\(978\) | 1.04450 | − | 0.0468569i | 0.0333994 | − | 0.00149832i | ||||
\(979\) | 42.0432i | 1.34371i | ||||||||
\(980\) | 38.7347 | + | 25.1388i | 1.23733 | + | 0.803030i | ||||
\(981\) | 14.0053i | 0.447155i | ||||||||
\(982\) | −2.07327 | − | 46.2159i | −0.0661607 | − | 1.47481i | ||||
\(983\) | 11.5992 | − | 1.74830i | 0.369957 | − | 0.0557621i | 0.0385673 | − | 0.999256i | \(-0.487721\pi\) |
0.331390 | + | 0.943494i | \(0.392483\pi\) | |||||||
\(984\) | 0.633566 | − | 0.899758i | 0.0201974 | − | 0.0286832i | ||||
\(985\) | −2.87564 | + | 7.32701i | −0.0916255 | + | 0.233458i | ||||
\(986\) | −8.05313 | − | 40.8959i | −0.256464 | − | 1.30239i | ||||
\(987\) | 2.49055 | − | 2.32918i | 0.0792750 | − | 0.0741387i | ||||
\(988\) | 8.04982 | − | 8.93845i | 0.256099 | − | 0.284370i | ||||
\(989\) | 16.0556 | + | 52.0510i | 0.510539 | + | 1.65513i | ||||
\(990\) | −12.1207 | + | 35.4825i | −0.385221 | + | 1.12771i | ||||
\(991\) | 4.72670 | + | 1.45799i | 0.150149 | + | 0.0463147i | 0.368918 | − | 0.929462i | \(-0.379728\pi\) |
−0.218770 | + | 0.975776i | \(0.570204\pi\) | |||||||
\(992\) | 9.55130 | − | 30.9374i | 0.303254 | − | 0.982264i | ||||
\(993\) | 0.485976 | + | 2.12920i | 0.0154220 | + | 0.0675681i | ||||
\(994\) | −10.3748 | − | 28.6028i | −0.329070 | − | 0.907226i | ||||
\(995\) | 15.2067 | + | 3.47083i | 0.482084 | + | 0.110033i | ||||
\(996\) | −0.0208439 | − | 1.40247i | −0.000660465 | − | 0.0444390i | ||||
\(997\) | −9.86881 | − | 14.4749i | −0.312548 | − | 0.458424i | 0.637535 | − | 0.770422i | \(-0.279954\pi\) |
−0.950083 | + | 0.311997i | \(0.899002\pi\) | |||||||
\(998\) | 1.68857 | + | 4.71301i | 0.0534506 | + | 0.149188i | ||||
\(999\) | 2.01853 | + | 3.49619i | 0.0638634 | + | 0.110615i |
(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 | 392.2.z.a.109.2 | ✓ | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.109.25 | yes | 648 | |
49.9 | even | 21 | inner | 392.2.z.a.205.25 | yes | 648 | |
392.205 | even | 42 | inner | 392.2.z.a.205.2 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.2 | ✓ | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.109.25 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.205.2 | yes | 648 | 392.205 | even | 42 | inner | |
392.2.z.a.205.25 | yes | 648 | 49.9 | even | 21 | inner |