Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(2,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bv (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.9 | ||
Character | \(\chi\) | \(=\) | 273.2 |
Dual form | 273.2.bv.b.137.9 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.879582 | − | 0.879582i | −0.621959 | − | 0.621959i | 0.324073 | − | 0.946032i | \(-0.394948\pi\) |
−0.946032 | + | 0.324073i | \(0.894948\pi\) | |||||||
\(3\) | 1.39839 | − | 1.02202i | 0.807359 | − | 0.590061i | ||||
\(4\) | − | 0.452670i | − | 0.226335i | ||||||
\(5\) | 2.08749 | − | 0.559342i | 0.933556 | − | 0.250145i | 0.240185 | − | 0.970727i | \(-0.422792\pi\) |
0.693370 | + | 0.720582i | \(0.256125\pi\) | |||||||
\(6\) | −2.12894 | − | 0.331049i | −0.869137 | − | 0.135150i | ||||
\(7\) | 0.755530 | − | 2.53558i | 0.285564 | − | 0.958360i | ||||
\(8\) | −2.15733 | + | 2.15733i | −0.762730 | + | 0.762730i | ||||
\(9\) | 0.910969 | − | 2.85835i | 0.303656 | − | 0.952782i | ||||
\(10\) | −2.32811 | − | 1.34414i | −0.736213 | − | 0.425053i | ||||
\(11\) | 0.734563 | + | 2.74143i | 0.221479 | + | 0.826571i | 0.983785 | + | 0.179354i | \(0.0574007\pi\) |
−0.762306 | + | 0.647217i | \(0.775933\pi\) | |||||||
\(12\) | −0.462636 | − | 0.633008i | −0.133551 | − | 0.182734i | ||||
\(13\) | −0.843336 | + | 3.50554i | −0.233899 | + | 0.972261i | ||||
\(14\) | −2.89480 | + | 1.56570i | −0.773669 | + | 0.418451i | ||||
\(15\) | 2.34747 | − | 2.91563i | 0.606113 | − | 0.752812i | ||||
\(16\) | 2.88975 | 0.722437 | ||||||||
\(17\) | −0.737683 | −0.178914 | −0.0894572 | − | 0.995991i | \(-0.528513\pi\) | ||||
−0.0894572 | + | 0.995991i | \(0.528513\pi\) | |||||||
\(18\) | −3.31542 | + | 1.71288i | −0.781452 | + | 0.403729i | ||||
\(19\) | 5.02035 | + | 1.34520i | 1.15175 | + | 0.308610i | 0.783665 | − | 0.621183i | \(-0.213348\pi\) |
0.368082 | + | 0.929793i | \(0.380014\pi\) | |||||||
\(20\) | −0.253197 | − | 0.944946i | −0.0566167 | − | 0.211296i | ||||
\(21\) | −1.53488 | − | 4.31789i | −0.334938 | − | 0.942240i | ||||
\(22\) | 1.76520 | − | 3.05742i | 0.376342 | − | 0.651844i | ||||
\(23\) | −5.92106 | −1.23463 | −0.617314 | − | 0.786717i | \(-0.711779\pi\) | ||||
−0.617314 | + | 0.786717i | \(0.711779\pi\) | |||||||
\(24\) | −0.811954 | + | 5.22159i | −0.165739 | + | 1.06585i | ||||
\(25\) | −0.285360 | + | 0.164753i | −0.0570721 | + | 0.0329506i | ||||
\(26\) | 3.82519 | − | 2.34162i | 0.750182 | − | 0.459230i | ||||
\(27\) | −1.64739 | − | 4.92809i | −0.317040 | − | 0.948412i | ||||
\(28\) | −1.14778 | − | 0.342006i | −0.216910 | − | 0.0646331i | ||||
\(29\) | −4.40486 | + | 2.54315i | −0.817962 | + | 0.472250i | −0.849713 | − | 0.527245i | \(-0.823225\pi\) |
0.0317515 | + | 0.999496i | \(0.489891\pi\) | |||||||
\(30\) | −4.62932 | + | 0.499745i | −0.845195 | + | 0.0912405i | ||||
\(31\) | −1.02191 | − | 0.273820i | −0.183541 | − | 0.0491796i | 0.165878 | − | 0.986146i | \(-0.446954\pi\) |
−0.349419 | + | 0.936967i | \(0.613621\pi\) | |||||||
\(32\) | 1.77288 | + | 1.77288i | 0.313403 | + | 0.313403i | ||||
\(33\) | 3.82898 | + | 3.08284i | 0.666541 | + | 0.536653i | ||||
\(34\) | 0.648853 | + | 0.648853i | 0.111277 | + | 0.111277i | ||||
\(35\) | 0.158907 | − | 5.71561i | 0.0268602 | − | 0.966115i | ||||
\(36\) | −1.29389 | − | 0.412368i | −0.215648 | − | 0.0687280i | ||||
\(37\) | −0.502629 | − | 0.502629i | −0.0826317 | − | 0.0826317i | 0.664583 | − | 0.747215i | \(-0.268609\pi\) |
−0.747215 | + | 0.664583i | \(0.768609\pi\) | |||||||
\(38\) | −3.23260 | − | 5.59903i | −0.524397 | − | 0.908282i | ||||
\(39\) | 2.40340 | + | 5.76400i | 0.384853 | + | 0.922978i | ||||
\(40\) | −3.29672 | + | 5.71009i | −0.521257 | + | 0.902844i | ||||
\(41\) | 2.67874 | − | 9.99721i | 0.418350 | − | 1.56130i | −0.359681 | − | 0.933075i | \(-0.617114\pi\) |
0.778030 | − | 0.628227i | \(-0.216219\pi\) | |||||||
\(42\) | −2.44788 | + | 5.14799i | −0.377717 | + | 0.794352i | ||||
\(43\) | 4.84067 | + | 2.79476i | 0.738196 | + | 0.426197i | 0.821413 | − | 0.570334i | \(-0.193186\pi\) |
−0.0832172 | + | 0.996531i | \(0.526520\pi\) | |||||||
\(44\) | 1.24096 | − | 0.332515i | 0.187082 | − | 0.0501285i | ||||
\(45\) | 0.302848 | − | 6.47632i | 0.0451459 | − | 0.965433i | ||||
\(46\) | 5.20806 | + | 5.20806i | 0.767887 | + | 0.767887i | ||||
\(47\) | 1.05885 | + | 3.95167i | 0.154449 | + | 0.576410i | 0.999152 | + | 0.0411754i | \(0.0131102\pi\) |
−0.844703 | + | 0.535235i | \(0.820223\pi\) | |||||||
\(48\) | 4.04099 | − | 2.95337i | 0.583266 | − | 0.426282i | ||||
\(49\) | −5.85835 | − | 3.83142i | −0.836907 | − | 0.547345i | ||||
\(50\) | 0.395912 | + | 0.106084i | 0.0559903 | + | 0.0150026i | ||||
\(51\) | −1.03157 | + | 0.753924i | −0.144448 | + | 0.105570i | ||||
\(52\) | 1.58685 | + | 0.381753i | 0.220057 | + | 0.0529396i | ||||
\(53\) | 0.567795 | − | 0.327817i | 0.0779926 | − | 0.0450291i | −0.460497 | − | 0.887662i | \(-0.652329\pi\) |
0.538489 | + | 0.842632i | \(0.318995\pi\) | |||||||
\(54\) | −2.88565 | + | 5.78368i | −0.392688 | + | 0.787059i | ||||
\(55\) | 3.06679 | + | 5.31184i | 0.413526 | + | 0.716248i | ||||
\(56\) | 3.84015 | + | 7.10000i | 0.513161 | + | 0.948777i | ||||
\(57\) | 8.39521 | − | 3.24977i | 1.11197 | − | 0.430442i | ||||
\(58\) | 6.11134 | + | 1.63753i | 0.802458 | + | 0.215018i | ||||
\(59\) | −3.03217 | + | 3.03217i | −0.394756 | + | 0.394756i | −0.876379 | − | 0.481623i | \(-0.840047\pi\) |
0.481623 | + | 0.876379i | \(0.340047\pi\) | |||||||
\(60\) | −1.31982 | − | 1.06263i | −0.170388 | − | 0.137185i | ||||
\(61\) | 3.96108 | + | 6.86079i | 0.507164 | + | 0.878434i | 0.999966 | + | 0.00829243i | \(0.00263959\pi\) |
−0.492801 | + | 0.870142i | \(0.664027\pi\) | |||||||
\(62\) | 0.658007 | + | 1.13970i | 0.0835670 | + | 0.144742i | ||||
\(63\) | −6.55930 | − | 4.46940i | −0.826394 | − | 0.563092i | ||||
\(64\) | − | 8.89828i | − | 1.11229i | ||||||
\(65\) | 0.200337 | + | 7.78950i | 0.0248487 | + | 0.966168i | ||||
\(66\) | −0.656296 | − | 6.07952i | −0.0807844 | − | 0.748337i | ||||
\(67\) | 3.02289 | + | 11.2816i | 0.369305 | + | 1.37826i | 0.861490 | + | 0.507774i | \(0.169532\pi\) |
−0.492185 | + | 0.870491i | \(0.663802\pi\) | |||||||
\(68\) | 0.333927i | 0.0404946i | ||||||||
\(69\) | −8.27993 | + | 6.05142i | −0.996787 | + | 0.728505i | ||||
\(70\) | −5.16712 | + | 4.88758i | −0.617589 | + | 0.584177i | ||||
\(71\) | 10.7055 | − | 2.86852i | 1.27051 | − | 0.340431i | 0.440281 | − | 0.897860i | \(-0.354879\pi\) |
0.830224 | + | 0.557429i | \(0.188212\pi\) | |||||||
\(72\) | 4.20112 | + | 8.13163i | 0.495107 | + | 0.958322i | ||||
\(73\) | −1.88448 | + | 7.03298i | −0.220562 | + | 0.823148i | 0.763573 | + | 0.645722i | \(0.223444\pi\) |
−0.984134 | + | 0.177425i | \(0.943223\pi\) | |||||||
\(74\) | 0.884207i | 0.102787i | ||||||||
\(75\) | −0.230664 | + | 0.522031i | −0.0266348 | + | 0.0602789i | ||||
\(76\) | 0.608931 | − | 2.27256i | 0.0698492 | − | 0.260681i | ||||
\(77\) | 7.50610 | + | 0.208687i | 0.855399 | + | 0.0237821i | ||||
\(78\) | 2.95592 | − | 7.18390i | 0.334692 | − | 0.813416i | ||||
\(79\) | 6.46979 | − | 11.2060i | 0.727908 | − | 1.26077i | −0.229857 | − | 0.973224i | \(-0.573826\pi\) |
0.957766 | − | 0.287550i | \(-0.0928407\pi\) | |||||||
\(80\) | 6.03233 | − | 1.61636i | 0.674436 | − | 0.180714i | ||||
\(81\) | −7.34027 | − | 5.20772i | −0.815586 | − | 0.578636i | ||||
\(82\) | −11.1495 | + | 6.43719i | −1.23126 | + | 0.710869i | ||||
\(83\) | 5.09957 | + | 5.09957i | 0.559750 | + | 0.559750i | 0.929236 | − | 0.369486i | \(-0.120466\pi\) |
−0.369486 | + | 0.929236i | \(0.620466\pi\) | |||||||
\(84\) | −1.95458 | + | 0.694794i | −0.213262 | + | 0.0758083i | ||||
\(85\) | −1.53991 | + | 0.412617i | −0.167027 | + | 0.0447546i | ||||
\(86\) | −1.79955 | − | 6.71599i | −0.194050 | − | 0.724204i | ||||
\(87\) | −3.56056 | + | 8.05813i | −0.381732 | + | 0.863923i | ||||
\(88\) | −7.49884 | − | 4.32946i | −0.799379 | − | 0.461522i | ||||
\(89\) | 3.45890 | − | 3.45890i | 0.366643 | − | 0.366643i | −0.499609 | − | 0.866251i | \(-0.666523\pi\) |
0.866251 | + | 0.499609i | \(0.166523\pi\) | |||||||
\(90\) | −5.96284 | + | 5.43008i | −0.628538 | + | 0.572380i | ||||
\(91\) | 8.25141 | + | 4.78689i | 0.864983 | + | 0.501802i | ||||
\(92\) | 2.68029i | 0.279439i | ||||||||
\(93\) | −1.70887 | + | 0.661502i | −0.177202 | + | 0.0685946i | ||||
\(94\) | 2.54448 | − | 4.40716i | 0.262443 | − | 0.454564i | ||||
\(95\) | 11.2324 | 1.15242 | ||||||||
\(96\) | 4.29108 | + | 0.667259i | 0.437956 | + | 0.0681019i | ||||
\(97\) | −2.82291 | − | 10.5352i | −0.286623 | − | 1.06969i | −0.947645 | − | 0.319325i | \(-0.896544\pi\) |
0.661023 | − | 0.750366i | \(-0.270123\pi\) | |||||||
\(98\) | 1.78285 | + | 8.52295i | 0.180095 | + | 0.860948i | ||||
\(99\) | 8.50511 | + | 0.397719i | 0.854795 | + | 0.0399722i | ||||
\(100\) | 0.0745787 | + | 0.129174i | 0.00745787 | + | 0.0129174i | ||||
\(101\) | −8.20868 | + | 14.2178i | −0.816794 | + | 1.41473i | 0.0912388 | + | 0.995829i | \(0.470917\pi\) |
−0.908033 | + | 0.418899i | \(0.862416\pi\) | |||||||
\(102\) | 1.57049 | + | 0.244209i | 0.155501 | + | 0.0241803i | ||||
\(103\) | −9.85465 | − | 5.68959i | −0.971008 | − | 0.560611i | −0.0714643 | − | 0.997443i | \(-0.522767\pi\) |
−0.899543 | + | 0.436832i | \(0.856101\pi\) | |||||||
\(104\) | −5.74323 | − | 9.38193i | −0.563170 | − | 0.919974i | ||||
\(105\) | −5.61923 | − | 8.15504i | −0.548381 | − | 0.795850i | ||||
\(106\) | −0.787764 | − | 0.211081i | −0.0765144 | − | 0.0205020i | ||||
\(107\) | 6.19057i | 0.598465i | 0.954180 | + | 0.299233i | \(0.0967306\pi\) | ||||
−0.954180 | + | 0.299233i | \(0.903269\pi\) | |||||||
\(108\) | −2.23080 | + | 0.745723i | −0.214659 | + | 0.0717572i | ||||
\(109\) | 1.31618 | + | 0.352669i | 0.126067 | + | 0.0337796i | 0.321301 | − | 0.946977i | \(-0.395880\pi\) |
−0.195234 | + | 0.980757i | \(0.562547\pi\) | |||||||
\(110\) | 1.97470 | − | 7.36970i | 0.188281 | − | 0.702673i | ||||
\(111\) | −1.21656 | − | 0.189175i | −0.115471 | − | 0.0179557i | ||||
\(112\) | 2.18329 | − | 7.32720i | 0.206302 | − | 0.692355i | ||||
\(113\) | −16.6428 | − | 9.60870i | −1.56562 | − | 0.903911i | −0.996670 | − | 0.0815380i | \(-0.974017\pi\) |
−0.568949 | − | 0.822373i | \(-0.692650\pi\) | |||||||
\(114\) | −10.2427 | − | 4.52583i | −0.959318 | − | 0.423883i | ||||
\(115\) | −12.3602 | + | 3.31190i | −1.15259 | + | 0.308836i | ||||
\(116\) | 1.15121 | + | 1.99395i | 0.106887 | + | 0.185133i | ||||
\(117\) | 9.25178 | + | 5.60398i | 0.855327 | + | 0.518088i | ||||
\(118\) | 5.33409 | 0.491043 | ||||||||
\(119\) | −0.557342 | + | 1.87046i | −0.0510915 | + | 0.171464i | ||||
\(120\) | 1.22571 | + | 11.3542i | 0.111891 | + | 1.03649i | ||||
\(121\) | 2.55044 | − | 1.47250i | 0.231858 | − | 0.133863i | ||||
\(122\) | 2.55053 | − | 9.51873i | 0.230915 | − | 0.861785i | ||||
\(123\) | −6.47139 | − | 16.7177i | −0.583505 | − | 1.50738i | ||||
\(124\) | −0.123950 | + | 0.462588i | −0.0111311 | + | 0.0415417i | ||||
\(125\) | −8.14429 | + | 8.14429i | −0.728448 | + | 0.728448i | ||||
\(126\) | 1.83824 | + | 9.70065i | 0.163763 | + | 0.864203i | ||||
\(127\) | 1.41376 | − | 0.816234i | 0.125451 | − | 0.0724291i | −0.435961 | − | 0.899965i | \(-0.643592\pi\) |
0.561412 | + | 0.827536i | \(0.310258\pi\) | |||||||
\(128\) | −4.28102 | + | 4.28102i | −0.378392 | + | 0.378392i | ||||
\(129\) | 9.62542 | − | 1.03908i | 0.847471 | − | 0.0914862i | ||||
\(130\) | 6.67529 | − | 7.02772i | 0.585462 | − | 0.616372i | ||||
\(131\) | −9.12897 | − | 5.27061i | −0.797601 | − | 0.460495i | 0.0450303 | − | 0.998986i | \(-0.485662\pi\) |
−0.842632 | + | 0.538490i | \(0.818995\pi\) | |||||||
\(132\) | 1.39551 | − | 1.73327i | 0.121463 | − | 0.150861i | ||||
\(133\) | 7.20389 | − | 11.7132i | 0.624657 | − | 1.01566i | ||||
\(134\) | 7.26420 | − | 12.5820i | 0.627531 | − | 1.08692i | ||||
\(135\) | −6.19540 | − | 9.36591i | −0.533215 | − | 0.806089i | ||||
\(136\) | 1.59142 | − | 1.59142i | 0.136463 | − | 0.136463i | ||||
\(137\) | 12.2091 | − | 12.2091i | 1.04309 | − | 1.04309i | 0.0440620 | − | 0.999029i | \(-0.485970\pi\) |
0.999029 | − | 0.0440620i | \(-0.0140299\pi\) | |||||||
\(138\) | 12.6056 | + | 1.96016i | 1.07306 | + | 0.166860i | ||||
\(139\) | −0.411571 | + | 0.712863i | −0.0349090 | + | 0.0604642i | −0.882952 | − | 0.469463i | \(-0.844447\pi\) |
0.848043 | + | 0.529927i | \(0.177781\pi\) | |||||||
\(140\) | −2.58729 | − | 0.0719326i | −0.218666 | − | 0.00607941i | ||||
\(141\) | 5.51934 | + | 4.44380i | 0.464813 | + | 0.374236i | ||||
\(142\) | −11.9394 | − | 6.89324i | −1.00194 | − | 0.578468i | ||||
\(143\) | −10.2297 | + | 0.263095i | −0.855447 | + | 0.0220011i | ||||
\(144\) | 2.63247 | − | 8.25990i | 0.219373 | − | 0.688325i | ||||
\(145\) | −7.77262 | + | 7.77262i | −0.645481 | + | 0.645481i | ||||
\(146\) | 7.84364 | − | 4.52853i | 0.649144 | − | 0.374783i | ||||
\(147\) | −12.1080 | + | 0.629519i | −0.998651 | + | 0.0519219i | ||||
\(148\) | −0.227525 | + | 0.227525i | −0.0187025 | + | 0.0187025i | ||||
\(149\) | 3.61143 | − | 13.4780i | 0.295860 | − | 1.10416i | −0.644673 | − | 0.764459i | \(-0.723006\pi\) |
0.940532 | − | 0.339704i | \(-0.110327\pi\) | |||||||
\(150\) | 0.662057 | − | 0.256281i | 0.0540567 | − | 0.0209253i | ||||
\(151\) | −0.900996 | + | 3.36256i | −0.0733220 | + | 0.273642i | −0.992848 | − | 0.119389i | \(-0.961907\pi\) |
0.919526 | + | 0.393030i | \(0.128573\pi\) | |||||||
\(152\) | −13.7326 | + | 7.92850i | −1.11386 | + | 0.643086i | ||||
\(153\) | −0.672006 | + | 2.10855i | −0.0543285 | + | 0.170466i | ||||
\(154\) | −6.41867 | − | 6.78579i | −0.517231 | − | 0.546814i | ||||
\(155\) | −2.28639 | −0.183647 | ||||||||
\(156\) | 2.60919 | − | 1.08795i | 0.208902 | − | 0.0871056i | ||||
\(157\) | −8.42780 | − | 14.5974i | −0.672611 | − | 1.16500i | −0.977161 | − | 0.212501i | \(-0.931839\pi\) |
0.304550 | − | 0.952496i | \(-0.401494\pi\) | |||||||
\(158\) | −15.5473 | + | 4.16589i | −1.23688 | + | 0.331421i | ||||
\(159\) | 0.458963 | − | 1.03871i | 0.0363981 | − | 0.0823750i | ||||
\(160\) | 4.69252 | + | 2.70923i | 0.370976 | + | 0.214183i | ||||
\(161\) | −4.47354 | + | 15.0133i | −0.352565 | + | 1.18322i | ||||
\(162\) | 1.87575 | + | 11.0370i | 0.147373 | + | 0.867148i | ||||
\(163\) | −3.66635 | + | 13.6830i | −0.287170 | + | 1.07173i | 0.660068 | + | 0.751205i | \(0.270527\pi\) |
−0.947239 | + | 0.320529i | \(0.896139\pi\) | |||||||
\(164\) | −4.52544 | − | 1.21259i | −0.353377 | − | 0.0946872i | ||||
\(165\) | 9.71734 | + | 4.29369i | 0.756494 | + | 0.334264i | ||||
\(166\) | − | 8.97098i | − | 0.696283i | ||||||
\(167\) | −5.16513 | − | 1.38399i | −0.399690 | − | 0.107097i | 0.0533741 | − | 0.998575i | \(-0.483002\pi\) |
−0.453064 | + | 0.891478i | \(0.649669\pi\) | |||||||
\(168\) | 12.6263 | + | 6.00385i | 0.974142 | + | 0.463207i | ||||
\(169\) | −11.5776 | − | 5.91269i | −0.890582 | − | 0.454822i | ||||
\(170\) | 1.71741 | + | 0.991546i | 0.131719 | + | 0.0760481i | ||||
\(171\) | 8.41843 | − | 13.1245i | 0.643773 | − | 1.00365i | ||||
\(172\) | 1.26511 | − | 2.19123i | 0.0964634 | − | 0.167080i | ||||
\(173\) | −3.63698 | − | 6.29944i | −0.276515 | − | 0.478937i | 0.694001 | − | 0.719974i | \(-0.255846\pi\) |
−0.970516 | + | 0.241036i | \(0.922513\pi\) | |||||||
\(174\) | 10.2196 | − | 3.95599i | 0.774745 | − | 0.299903i | ||||
\(175\) | 0.202146 | + | 0.848030i | 0.0152808 | + | 0.0641051i | ||||
\(176\) | 2.12270 | + | 7.92204i | 0.160005 | + | 0.597146i | ||||
\(177\) | −1.14122 | + | 7.33908i | −0.0857795 | + | 0.551639i | ||||
\(178\) | −6.08477 | −0.456073 | ||||||||
\(179\) | 8.26610 | − | 14.3173i | 0.617837 | − | 1.07013i | −0.372042 | − | 0.928216i | \(-0.621342\pi\) |
0.989880 | − | 0.141910i | \(-0.0453242\pi\) | |||||||
\(180\) | −2.93164 | − | 0.137090i | −0.218511 | − | 0.0102181i | ||||
\(181\) | 6.91068i | 0.513667i | 0.966456 | + | 0.256834i | \(0.0826792\pi\) | ||||
−0.966456 | + | 0.256834i | \(0.917321\pi\) | |||||||
\(182\) | −3.04733 | − | 11.4683i | −0.225883 | − | 0.850083i | ||||
\(183\) | 12.5510 | + | 5.54575i | 0.927793 | + | 0.409954i | ||||
\(184\) | 12.7737 | − | 12.7737i | 0.941687 | − | 0.941687i | ||||
\(185\) | −1.33038 | − | 0.768093i | −0.0978113 | − | 0.0564714i | ||||
\(186\) | 2.08494 | + | 0.921250i | 0.152875 | + | 0.0675493i | ||||
\(187\) | −0.541875 | − | 2.02230i | −0.0396258 | − | 0.147886i | ||||
\(188\) | 1.78880 | − | 0.479308i | 0.130462 | − | 0.0349571i | ||||
\(189\) | −13.7402 | + | 0.453759i | −0.999455 | + | 0.0330061i | ||||
\(190\) | −9.87980 | − | 9.87980i | −0.716756 | − | 0.716756i | ||||
\(191\) | 18.2435 | − | 10.5329i | 1.32005 | − | 0.762134i | 0.336318 | − | 0.941749i | \(-0.390818\pi\) |
0.983737 | + | 0.179614i | \(0.0574850\pi\) | |||||||
\(192\) | −9.09418 | − | 12.4432i | −0.656316 | − | 0.898013i | ||||
\(193\) | −1.24509 | + | 0.333622i | −0.0896238 | + | 0.0240146i | −0.303352 | − | 0.952878i | \(-0.598106\pi\) |
0.213728 | + | 0.976893i | \(0.431439\pi\) | |||||||
\(194\) | −6.78362 | + | 11.7496i | −0.487036 | + | 0.843571i | ||||
\(195\) | 8.24114 | + | 10.6880i | 0.590160 | + | 0.765382i | ||||
\(196\) | −1.73437 | + | 2.65190i | −0.123883 | + | 0.189421i | ||||
\(197\) | −6.99585 | + | 26.1089i | −0.498434 | + | 1.86018i | 0.0114471 | + | 0.999934i | \(0.496356\pi\) |
−0.509881 | + | 0.860245i | \(0.670310\pi\) | |||||||
\(198\) | −7.13112 | − | 7.83077i | −0.506786 | − | 0.556508i | ||||
\(199\) | 27.9971i | 1.98466i | 0.123609 | + | 0.992331i | \(0.460553\pi\) | ||||
−0.123609 | + | 0.992331i | \(0.539447\pi\) | |||||||
\(200\) | 0.260189 | − | 0.971040i | 0.0183982 | − | 0.0686629i | ||||
\(201\) | 15.7571 | + | 12.6866i | 1.11142 | + | 0.894842i | ||||
\(202\) | 19.7260 | − | 5.28556i | 1.38791 | − | 0.371891i | ||||
\(203\) | 3.12035 | + | 13.0903i | 0.219006 | + | 0.918759i | ||||
\(204\) | 0.341279 | + | 0.466959i | 0.0238943 | + | 0.0326937i | ||||
\(205\) | − | 22.3675i | − | 1.56221i | ||||||
\(206\) | 3.66352 | + | 13.6724i | 0.255249 | + | 0.952604i | ||||
\(207\) | −5.39390 | + | 16.9244i | −0.374902 | + | 1.17633i | ||||
\(208\) | −2.43703 | + | 10.1301i | −0.168978 | + | 0.702398i | ||||
\(209\) | 14.7511i | 1.02035i | ||||||||
\(210\) | −2.23045 | + | 12.1156i | −0.153916 | + | 0.836056i | ||||
\(211\) | 4.87070 | + | 8.43630i | 0.335313 | + | 0.580779i | 0.983545 | − | 0.180664i | \(-0.0578246\pi\) |
−0.648232 | + | 0.761443i | \(0.724491\pi\) | |||||||
\(212\) | −0.148393 | − | 0.257024i | −0.0101917 | − | 0.0176525i | ||||
\(213\) | 12.0387 | − | 14.9525i | 0.824879 | − | 1.02453i | ||||
\(214\) | 5.44512 | − | 5.44512i | 0.372221 | − | 0.372221i | ||||
\(215\) | 11.6681 | + | 3.12646i | 0.795758 | + | 0.213223i | ||||
\(216\) | 14.1855 | + | 7.07755i | 0.965198 | + | 0.481566i | ||||
\(217\) | −1.46638 | + | 2.38426i | −0.0995442 | + | 0.161854i | ||||
\(218\) | −0.847486 | − | 1.46789i | −0.0573990 | − | 0.0994180i | ||||
\(219\) | 4.55258 | + | 11.7608i | 0.307635 | + | 0.794720i | ||||
\(220\) | 2.40451 | − | 1.38824i | 0.162112 | − | 0.0935954i | ||||
\(221\) | 0.622115 | − | 2.58598i | 0.0418480 | − | 0.173952i | ||||
\(222\) | 0.903674 | + | 1.23646i | 0.0606506 | + | 0.0829860i | ||||
\(223\) | −27.2640 | − | 7.30536i | −1.82573 | − | 0.489203i | −0.828264 | − | 0.560337i | \(-0.810671\pi\) |
−0.997467 | + | 0.0711342i | \(0.977338\pi\) | |||||||
\(224\) | 5.83474 | − | 3.15581i | 0.389850 | − | 0.210857i | ||||
\(225\) | 0.210966 | + | 0.965743i | 0.0140644 | + | 0.0643829i | ||||
\(226\) | 6.18703 | + | 23.0903i | 0.411555 | + | 1.53595i | ||||
\(227\) | 11.3348 | + | 11.3348i | 0.752314 | + | 0.752314i | 0.974911 | − | 0.222597i | \(-0.0714533\pi\) |
−0.222597 | + | 0.974911i | \(0.571453\pi\) | |||||||
\(228\) | −1.47107 | − | 3.80026i | −0.0974242 | − | 0.251678i | ||||
\(229\) | −20.8255 | + | 5.58018i | −1.37619 | + | 0.368749i | −0.869735 | − | 0.493519i | \(-0.835710\pi\) |
−0.506453 | + | 0.862267i | \(0.669044\pi\) | |||||||
\(230\) | 13.7849 | + | 7.95871i | 0.908949 | + | 0.524782i | ||||
\(231\) | 10.7097 | − | 7.37952i | 0.704647 | − | 0.485537i | ||||
\(232\) | 4.01632 | − | 14.9891i | 0.263684 | − | 0.984083i | ||||
\(233\) | 1.50887 | − | 2.61343i | 0.0988491 | − | 0.171212i | −0.812359 | − | 0.583157i | \(-0.801817\pi\) |
0.911209 | + | 0.411945i | \(0.135151\pi\) | |||||||
\(234\) | −3.20854 | − | 13.0669i | −0.209749 | − | 0.854207i | ||||
\(235\) | 4.42067 | + | 7.65683i | 0.288373 | + | 0.499476i | ||||
\(236\) | 1.37257 | + | 1.37257i | 0.0893470 | + | 0.0893470i | ||||
\(237\) | −2.40545 | − | 22.2826i | −0.156250 | − | 1.44741i | ||||
\(238\) | 2.13545 | − | 1.15499i | 0.138421 | − | 0.0748670i | ||||
\(239\) | −0.567287 | − | 0.567287i | −0.0366948 | − | 0.0366948i | 0.688521 | − | 0.725216i | \(-0.258260\pi\) |
−0.725216 | + | 0.688521i | \(0.758260\pi\) | |||||||
\(240\) | 6.78359 | − | 8.42543i | 0.437879 | − | 0.543859i | ||||
\(241\) | 2.90032 | + | 2.90032i | 0.186826 | + | 0.186826i | 0.794322 | − | 0.607497i | \(-0.207826\pi\) |
−0.607497 | + | 0.794322i | \(0.707826\pi\) | |||||||
\(242\) | −3.53851 | − | 0.948140i | −0.227464 | − | 0.0609487i | ||||
\(243\) | −15.5869 | + | 0.219462i | −0.999901 | + | 0.0140785i | ||||
\(244\) | 3.10567 | − | 1.79306i | 0.198820 | − | 0.114789i | ||||
\(245\) | −14.3723 | − | 4.72124i | −0.918215 | − | 0.301629i | ||||
\(246\) | −9.01246 | + | 20.3967i | −0.574614 | + | 1.30045i | ||||
\(247\) | −8.94949 | + | 16.4646i | −0.569442 | + | 1.04762i | ||||
\(248\) | 2.79531 | − | 1.61387i | 0.177503 | − | 0.102481i | ||||
\(249\) | 12.3430 | + | 1.91933i | 0.782206 | + | 0.121633i | ||||
\(250\) | 14.3272 | 0.906129 | ||||||||
\(251\) | −2.56993 | + | 4.45124i | −0.162212 | + | 0.280960i | −0.935662 | − | 0.352898i | \(-0.885196\pi\) |
0.773449 | + | 0.633858i | \(0.218530\pi\) | |||||||
\(252\) | −2.02316 | + | 2.96920i | −0.127447 | + | 0.187042i | ||||
\(253\) | −4.34939 | − | 16.2322i | −0.273444 | − | 1.02051i | ||||
\(254\) | −1.96146 | − | 0.525572i | −0.123073 | − | 0.0329773i | ||||
\(255\) | −1.73169 | + | 2.15081i | −0.108442 | + | 0.134689i | ||||
\(256\) | −10.2656 | −0.641597 | ||||||||
\(257\) | −6.49675 | −0.405256 | −0.202628 | − | 0.979256i | \(-0.564948\pi\) | ||||
−0.202628 | + | 0.979256i | \(0.564948\pi\) | |||||||
\(258\) | −9.38031 | − | 7.55239i | −0.583993 | − | 0.470191i | ||||
\(259\) | −1.65421 | + | 0.894705i | −0.102788 | + | 0.0555943i | ||||
\(260\) | 3.52607 | − | 0.0906864i | 0.218678 | − | 0.00562413i | ||||
\(261\) | 3.25650 | + | 14.9073i | 0.201572 | + | 0.922740i | ||||
\(262\) | 3.39374 | + | 12.6656i | 0.209666 | + | 0.782484i | ||||
\(263\) | −4.36162 | − | 2.51818i | −0.268949 | − | 0.155278i | 0.359461 | − | 0.933160i | \(-0.382961\pi\) |
−0.628410 | + | 0.777882i | \(0.716294\pi\) | |||||||
\(264\) | −14.9110 | + | 1.60968i | −0.917712 | + | 0.0990688i | ||||
\(265\) | 1.00191 | − | 1.00191i | 0.0615466 | − | 0.0615466i | ||||
\(266\) | −16.6391 | + | 3.96628i | −1.02021 | + | 0.243188i | ||||
\(267\) | 1.30183 | − | 8.37193i | 0.0796706 | − | 0.512354i | ||||
\(268\) | 5.10684 | − | 1.36837i | 0.311950 | − | 0.0835866i | ||||
\(269\) | − | 19.7374i | − | 1.20341i | −0.798718 | − | 0.601705i | \(-0.794488\pi\) | ||
0.798718 | − | 0.601705i | \(-0.205512\pi\) | |||||||
\(270\) | −2.78873 | + | 13.6875i | −0.169716 | + | 0.832992i | ||||
\(271\) | −1.36896 | − | 1.36896i | −0.0831587 | − | 0.0831587i | 0.664304 | − | 0.747463i | \(-0.268728\pi\) |
−0.747463 | + | 0.664304i | \(0.768728\pi\) | |||||||
\(272\) | −2.13172 | −0.129254 | ||||||||
\(273\) | 16.4309 | − | 1.73915i | 0.994445 | − | 0.105258i | ||||
\(274\) | −21.4778 | −1.29752 | ||||||||
\(275\) | −0.661273 | − | 0.661273i | −0.0398763 | − | 0.0398763i | ||||
\(276\) | 2.73930 | + | 3.74808i | 0.164886 | + | 0.225608i | ||||
\(277\) | − | 0.836364i | − | 0.0502522i | −0.999684 | − | 0.0251261i | \(-0.992001\pi\) | ||
0.999684 | − | 0.0251261i | \(-0.00799873\pi\) | |||||||
\(278\) | 0.989032 | − | 0.265010i | 0.0593182 | − | 0.0158943i | ||||
\(279\) | −1.71360 | + | 2.67153i | −0.102591 | + | 0.159940i | ||||
\(280\) | 11.9876 | + | 12.6732i | 0.716397 | + | 0.757371i | ||||
\(281\) | 15.9859 | − | 15.9859i | 0.953642 | − | 0.953642i | −0.0453302 | − | 0.998972i | \(-0.514434\pi\) |
0.998972 | + | 0.0453302i | \(0.0144340\pi\) | |||||||
\(282\) | −0.946027 | − | 8.76341i | −0.0563351 | − | 0.521853i | ||||
\(283\) | 14.2280 | + | 8.21456i | 0.845769 | + | 0.488305i | 0.859221 | − | 0.511604i | \(-0.170949\pi\) |
−0.0134519 | + | 0.999910i | \(0.504282\pi\) | |||||||
\(284\) | −1.29849 | − | 4.84604i | −0.0770514 | − | 0.287560i | ||||
\(285\) | 15.7072 | − | 11.4797i | 0.930415 | − | 0.679997i | ||||
\(286\) | 9.22924 | + | 8.76641i | 0.545736 | + | 0.518369i | ||||
\(287\) | −23.3249 | − | 14.3454i | −1.37682 | − | 0.846781i | ||||
\(288\) | 6.68253 | − | 3.45246i | 0.393772 | − | 0.203438i | ||||
\(289\) | −16.4558 | −0.967990 | ||||||||
\(290\) | 13.6733 | 0.802925 | ||||||||
\(291\) | −14.7147 | − | 11.8473i | −0.862590 | − | 0.694499i | ||||
\(292\) | 3.18362 | + | 0.853048i | 0.186307 | + | 0.0499208i | ||||
\(293\) | −6.43949 | − | 24.0325i | −0.376199 | − | 1.40399i | −0.851585 | − | 0.524217i | \(-0.824358\pi\) |
0.475386 | − | 0.879777i | \(-0.342308\pi\) | |||||||
\(294\) | 11.2037 | + | 10.0963i | 0.653413 | + | 0.588826i | ||||
\(295\) | −4.63362 | + | 8.02567i | −0.269780 | + | 0.467273i | ||||
\(296\) | 2.16867 | 0.126051 | ||||||||
\(297\) | 12.2999 | − | 8.13619i | 0.713713 | − | 0.472110i | ||||
\(298\) | −15.0316 | + | 8.67849i | −0.870756 | + | 0.502731i | ||||
\(299\) | 4.99344 | − | 20.7565i | 0.288778 | − | 1.20038i | ||||
\(300\) | 0.236308 | + | 0.104415i | 0.0136432 | + | 0.00602838i | ||||
\(301\) | 10.7436 | − | 10.1624i | 0.619252 | − | 0.585750i | ||||
\(302\) | 3.75015 | − | 2.16515i | 0.215797 | − | 0.124590i | ||||
\(303\) | 3.05196 | + | 28.2714i | 0.175330 | + | 1.62415i | ||||
\(304\) | 14.5076 | + | 3.88729i | 0.832066 | + | 0.222951i | ||||
\(305\) | 12.1063 | + | 12.1063i | 0.693202 | + | 0.693202i | ||||
\(306\) | 2.44573 | − | 1.26356i | 0.139813 | − | 0.0722330i | ||||
\(307\) | −14.4152 | − | 14.4152i | −0.822722 | − | 0.822722i | 0.163776 | − | 0.986498i | \(-0.447633\pi\) |
−0.986498 | + | 0.163776i | \(0.947633\pi\) | |||||||
\(308\) | 0.0944663 | − | 3.39778i | 0.00538272 | − | 0.193607i | ||||
\(309\) | −19.5955 | + | 2.11537i | −1.11475 | + | 0.120339i | ||||
\(310\) | 2.01107 | + | 2.01107i | 0.114221 | + | 0.114221i | ||||
\(311\) | 4.30210 | + | 7.45145i | 0.243950 | + | 0.422533i | 0.961836 | − | 0.273627i | \(-0.0882235\pi\) |
−0.717886 | + | 0.696161i | \(0.754890\pi\) | |||||||
\(312\) | −17.6197 | − | 7.24989i | −0.997521 | − | 0.410444i | ||||
\(313\) | 8.64858 | − | 14.9798i | 0.488847 | − | 0.846708i | −0.511071 | − | 0.859539i | \(-0.670751\pi\) |
0.999918 | + | 0.0128310i | \(0.00408435\pi\) | |||||||
\(314\) | −5.42665 | + | 20.2525i | −0.306244 | + | 1.14292i | ||||
\(315\) | −16.1924 | − | 5.66095i | −0.912340 | − | 0.318959i | ||||
\(316\) | −5.07262 | − | 2.92868i | −0.285357 | − | 0.164751i | ||||
\(317\) | −26.7570 | + | 7.16952i | −1.50282 | + | 0.402680i | −0.914044 | − | 0.405614i | \(-0.867058\pi\) |
−0.588779 | + | 0.808294i | \(0.700391\pi\) | |||||||
\(318\) | −1.31733 | + | 0.509935i | −0.0738720 | + | 0.0285957i | ||||
\(319\) | −10.2075 | − | 10.2075i | −0.571510 | − | 0.571510i | ||||
\(320\) | −4.97719 | − | 18.5751i | −0.278233 | − | 1.03838i | ||||
\(321\) | 6.32686 | + | 8.65681i | 0.353131 | + | 0.483176i | ||||
\(322\) | 17.1403 | − | 9.27062i | 0.955193 | − | 0.516631i | ||||
\(323\) | −3.70343 | − | 0.992331i | −0.206064 | − | 0.0552148i | ||||
\(324\) | −2.35738 | + | 3.32272i | −0.130966 | + | 0.184596i | ||||
\(325\) | −0.336893 | − | 1.13928i | −0.0186874 | − | 0.0631960i | ||||
\(326\) | 15.2602 | − | 8.81046i | 0.845182 | − | 0.487966i | ||||
\(327\) | 2.20096 | − | 0.851988i | 0.121713 | − | 0.0471150i | ||||
\(328\) | 15.7883 | + | 27.3462i | 0.871764 | + | 1.50994i | ||||
\(329\) | 10.8198 | + | 0.300815i | 0.596513 | + | 0.0165845i | ||||
\(330\) | −4.77054 | − | 12.3239i | −0.262610 | − | 0.678406i | ||||
\(331\) | 30.8690 | + | 8.27132i | 1.69671 | + | 0.454633i | 0.972109 | − | 0.234531i | \(-0.0753555\pi\) |
0.724605 | + | 0.689164i | \(0.242022\pi\) | |||||||
\(332\) | 2.30842 | − | 2.30842i | 0.126691 | − | 0.126691i | ||||
\(333\) | −1.89457 | + | 0.978808i | −0.103822 | + | 0.0536384i | ||||
\(334\) | 3.32582 | + | 5.76049i | 0.181981 | + | 0.315200i | ||||
\(335\) | 12.6205 | + | 21.8594i | 0.689533 | + | 1.19431i | ||||
\(336\) | −4.43542 | − | 12.4776i | −0.241972 | − | 0.680710i | ||||
\(337\) | − | 6.47528i | − | 0.352731i | −0.984325 | − | 0.176366i | \(-0.943566\pi\) | ||
0.984325 | − | 0.176366i | \(-0.0564341\pi\) | |||||||
\(338\) | 4.98273 | + | 15.3841i | 0.271025 | + | 0.836786i | ||||
\(339\) | −33.0933 | + | 3.57248i | −1.79738 | + | 0.194031i | ||||
\(340\) | 0.186780 | + | 0.697071i | 0.0101295 | + | 0.0378040i | ||||
\(341\) | − | 3.00263i | − | 0.162602i | ||||||
\(342\) | −18.9487 | + | 4.13935i | −1.02463 | + | 0.223830i | ||||
\(343\) | −14.1410 | + | 11.9596i | −0.763544 | + | 0.645756i | ||||
\(344\) | −16.4721 | + | 4.41369i | −0.888117 | + | 0.237970i | ||||
\(345\) | −13.8995 | + | 17.2636i | −0.748324 | + | 0.929442i | ||||
\(346\) | −2.34185 | + | 8.73990i | −0.125899 | + | 0.469860i | ||||
\(347\) | 14.5000i | 0.778401i | 0.921153 | + | 0.389201i | \(0.127249\pi\) | ||||
−0.921153 | + | 0.389201i | \(0.872751\pi\) | |||||||
\(348\) | 3.64768 | + | 1.61176i | 0.195536 | + | 0.0863993i | ||||
\(349\) | −3.09548 | + | 11.5525i | −0.165697 | + | 0.618391i | 0.832253 | + | 0.554396i | \(0.187051\pi\) |
−0.997950 | + | 0.0639948i | \(0.979616\pi\) | |||||||
\(350\) | 0.568108 | − | 0.923716i | 0.0303667 | − | 0.0493747i | ||||
\(351\) | 18.6649 | − | 1.61894i | 0.996259 | − | 0.0864125i | ||||
\(352\) | −3.55792 | + | 6.16250i | −0.189638 | + | 0.328463i | ||||
\(353\) | −7.04370 | + | 1.88735i | −0.374898 | + | 0.100454i | −0.441348 | − | 0.897336i | \(-0.645500\pi\) |
0.0664495 | + | 0.997790i | \(0.478833\pi\) | |||||||
\(354\) | 7.45912 | − | 5.45153i | 0.396448 | − | 0.289745i | ||||
\(355\) | 20.7431 | − | 11.9760i | 1.10093 | − | 0.635622i | ||||
\(356\) | −1.56574 | − | 1.56574i | −0.0829840 | − | 0.0829840i | ||||
\(357\) | 1.13226 | + | 3.18523i | 0.0599253 | + | 0.168580i | ||||
\(358\) | −19.8640 | + | 5.32253i | −1.04984 | + | 0.281305i | ||||
\(359\) | 5.49020 | + | 20.4897i | 0.289761 | + | 1.08140i | 0.945289 | + | 0.326233i | \(0.105780\pi\) |
−0.655528 | + | 0.755171i | \(0.727554\pi\) | |||||||
\(360\) | 13.3182 | + | 14.6249i | 0.701930 | + | 0.770798i | ||||
\(361\) | 6.93989 | + | 4.00675i | 0.365257 | + | 0.210881i | ||||
\(362\) | 6.07852 | − | 6.07852i | 0.319480 | − | 0.319480i | ||||
\(363\) | 2.06159 | − | 4.66571i | 0.108205 | − | 0.244886i | ||||
\(364\) | 2.16688 | − | 3.73516i | 0.113575 | − | 0.195776i | ||||
\(365\) | 15.7354i | 0.823627i | ||||||||
\(366\) | −6.16165 | − | 15.9175i | −0.322075 | − | 0.832023i | ||||
\(367\) | −9.28260 | + | 16.0779i | −0.484548 | + | 0.839261i | −0.999842 | − | 0.0177517i | \(-0.994349\pi\) |
0.515295 | + | 0.857013i | \(0.327682\pi\) | |||||||
\(368\) | −17.1104 | −0.891941 | ||||||||
\(369\) | −26.1352 | − | 16.7639i | −1.36055 | − | 0.872695i | ||||
\(370\) | 0.494575 | + | 1.84578i | 0.0257117 | + | 0.0959574i | ||||
\(371\) | −0.402219 | − | 1.68737i | −0.0208822 | − | 0.0876037i | ||||
\(372\) | 0.299442 | + | 0.773556i | 0.0155254 | + | 0.0401070i | ||||
\(373\) | −8.97921 | − | 15.5524i | −0.464926 | − | 0.805275i | 0.534272 | − | 0.845312i | \(-0.320586\pi\) |
−0.999198 | + | 0.0400372i | \(0.987252\pi\) | |||||||
\(374\) | −1.30216 | + | 2.25541i | −0.0673331 | + | 0.116624i | ||||
\(375\) | −3.06527 | + | 19.7125i | −0.158290 | + | 1.01795i | ||||
\(376\) | −10.8093 | − | 6.24076i | −0.557448 | − | 0.321843i | ||||
\(377\) | −5.20032 | − | 17.5861i | −0.267830 | − | 0.905731i | ||||
\(378\) | 12.4848 | + | 11.6866i | 0.642148 | + | 0.601091i | ||||
\(379\) | −2.24014 | − | 0.600244i | −0.115068 | − | 0.0308325i | 0.200825 | − | 0.979627i | \(-0.435638\pi\) |
−0.315894 | + | 0.948795i | \(0.602304\pi\) | |||||||
\(380\) | − | 5.08456i | − | 0.260833i | ||||||
\(381\) | 1.14278 | − | 2.58630i | 0.0585463 | − | 0.132500i | ||||
\(382\) | −25.3112 | − | 6.78212i | −1.29504 | − | 0.347004i | ||||
\(383\) | −2.06649 | + | 7.71225i | −0.105593 | + | 0.394078i | −0.998412 | − | 0.0563380i | \(-0.982058\pi\) |
0.892819 | + | 0.450416i | \(0.148724\pi\) | |||||||
\(384\) | −1.61125 | + | 10.3618i | −0.0822237 | + | 0.528772i | ||||
\(385\) | 15.7857 | − | 3.76284i | 0.804512 | − | 0.191772i | ||||
\(386\) | 1.38861 | + | 0.801714i | 0.0706784 | + | 0.0408062i | ||||
\(387\) | 12.3981 | − | 11.2904i | 0.630231 | − | 0.573922i | ||||
\(388\) | −4.76898 | + | 1.27784i | −0.242108 | + | 0.0648727i | ||||
\(389\) | 6.55572 | + | 11.3548i | 0.332388 | + | 0.575714i | 0.982980 | − | 0.183714i | \(-0.0588122\pi\) |
−0.650591 | + | 0.759428i | \(0.725479\pi\) | |||||||
\(390\) | 2.15220 | − | 16.6497i | 0.108981 | − | 0.843091i | ||||
\(391\) | 4.36787 | 0.220893 | ||||||||
\(392\) | 20.9040 | − | 4.37274i | 1.05581 | − | 0.220857i | ||||
\(393\) | −18.1525 | + | 1.95959i | −0.915671 | + | 0.0988485i | ||||
\(394\) | 29.1183 | − | 16.8115i | 1.46696 | − | 0.846950i | ||||
\(395\) | 7.23766 | − | 27.0113i | 0.364166 | − | 1.35909i | ||||
\(396\) | 0.180035 | − | 3.85001i | 0.00904712 | − | 0.193470i | ||||
\(397\) | 6.65497 | − | 24.8367i | 0.334003 | − | 1.24652i | −0.570942 | − | 0.820990i | \(-0.693422\pi\) |
0.904946 | − | 0.425527i | \(-0.139911\pi\) | |||||||
\(398\) | 24.6258 | − | 24.6258i | 1.23438 | − | 1.23438i | ||||
\(399\) | −1.89722 | − | 23.7420i | −0.0949799 | − | 1.18859i | ||||
\(400\) | −0.824620 | + | 0.476095i | −0.0412310 | + | 0.0238047i | ||||
\(401\) | 24.0867 | − | 24.0867i | 1.20283 | − | 1.20283i | 0.229529 | − | 0.973302i | \(-0.426281\pi\) |
0.973302 | − | 0.229529i | \(-0.0737186\pi\) | |||||||
\(402\) | −2.70080 | − | 25.0186i | −0.134704 | − | 1.24781i | ||||
\(403\) | 1.82170 | − | 3.35142i | 0.0907454 | − | 0.166946i | ||||
\(404\) | 6.43599 | + | 3.71582i | 0.320203 | + | 0.184869i | ||||
\(405\) | −18.2357 | − | 6.76537i | −0.906138 | − | 0.336174i | ||||
\(406\) | 8.76939 | − | 14.2586i | 0.435218 | − | 0.707642i | ||||
\(407\) | 1.00871 | − | 1.74713i | 0.0499998 | − | 0.0866022i | ||||
\(408\) | 0.598965 | − | 3.85188i | 0.0296532 | − | 0.190697i | ||||
\(409\) | −13.0825 | + | 13.0825i | −0.646888 | + | 0.646888i | −0.952240 | − | 0.305351i | \(-0.901226\pi\) |
0.305351 | + | 0.952240i | \(0.401226\pi\) | |||||||
\(410\) | −19.6740 | + | 19.6740i | −0.971630 | + | 0.971630i | ||||
\(411\) | 4.59513 | − | 29.5508i | 0.226661 | − | 1.45764i | ||||
\(412\) | −2.57550 | + | 4.46090i | −0.126886 | + | 0.219773i | ||||
\(413\) | 5.39743 | + | 9.97923i | 0.265590 | + | 0.491046i | ||||
\(414\) | 19.6308 | − | 10.1421i | 0.964802 | − | 0.498455i | ||||
\(415\) | 13.4977 | + | 7.79291i | 0.662577 | + | 0.382539i | ||||
\(416\) | −7.71002 | + | 4.71976i | −0.378015 | + | 0.231405i | ||||
\(417\) | 0.153021 | + | 1.41749i | 0.00749346 | + | 0.0694148i | ||||
\(418\) | 12.9748 | − | 12.9748i | 0.634617 | − | 0.634617i | ||||
\(419\) | 13.7663 | − | 7.94797i | 0.672527 | − | 0.388284i | −0.124506 | − | 0.992219i | \(-0.539735\pi\) |
0.797034 | + | 0.603935i | \(0.206401\pi\) | |||||||
\(420\) | −3.69154 | + | 2.54366i | −0.180129 | + | 0.124118i | ||||
\(421\) | −2.69787 | + | 2.69787i | −0.131486 | + | 0.131486i | −0.769787 | − | 0.638301i | \(-0.779638\pi\) |
0.638301 | + | 0.769787i | \(0.279638\pi\) | |||||||
\(422\) | 3.13624 | − | 11.7046i | 0.152670 | − | 0.569771i | ||||
\(423\) | 12.2598 | + | 0.573297i | 0.596092 | + | 0.0278747i | ||||
\(424\) | −0.517711 | + | 1.93213i | −0.0251423 | + | 0.0938323i | ||||
\(425\) | 0.210505 | − | 0.121535i | 0.0102110 | − | 0.00589533i | ||||
\(426\) | −23.7409 | + | 2.56288i | −1.15025 | + | 0.124172i | ||||
\(427\) | 20.3888 | − | 4.86010i | 0.986684 | − | 0.235197i | ||||
\(428\) | 2.80229 | 0.135454 | ||||||||
\(429\) | −14.0361 | + | 10.8228i | −0.677670 | + | 0.522528i | ||||
\(430\) | −7.51308 | − | 13.0130i | −0.362313 | − | 0.627544i | ||||
\(431\) | −14.5746 | + | 3.90525i | −0.702033 | + | 0.188109i | −0.592141 | − | 0.805835i | \(-0.701717\pi\) |
−0.109892 | + | 0.993944i | \(0.535050\pi\) | |||||||
\(432\) | −4.76054 | − | 14.2410i | −0.229041 | − | 0.685169i | ||||
\(433\) | 17.0424 | + | 9.83946i | 0.819007 | + | 0.472854i | 0.850074 | − | 0.526663i | \(-0.176557\pi\) |
−0.0310668 | + | 0.999517i | \(0.509890\pi\) | |||||||
\(434\) | 3.38695 | − | 0.807352i | 0.162579 | − | 0.0387541i | ||||
\(435\) | −2.92539 | + | 18.8129i | −0.140262 | + | 0.902008i | ||||
\(436\) | 0.159643 | − | 0.595795i | 0.00764550 | − | 0.0285334i | ||||
\(437\) | −29.7258 | − | 7.96501i | −1.42198 | − | 0.381018i | ||||
\(438\) | 6.34021 | − | 14.3489i | 0.302947 | − | 0.685619i | ||||
\(439\) | − | 10.6832i | − | 0.509883i | −0.966956 | − | 0.254942i | \(-0.917944\pi\) | ||
0.966956 | − | 0.254942i | \(-0.0820562\pi\) | |||||||
\(440\) | −18.0754 | − | 4.84330i | −0.861712 | − | 0.230895i | ||||
\(441\) | −16.2883 | + | 13.2549i | −0.775633 | + | 0.631185i | ||||
\(442\) | −2.82178 | + | 1.72738i | −0.134218 | + | 0.0821629i | ||||
\(443\) | −5.35265 | − | 3.09035i | −0.254312 | − | 0.146827i | 0.367425 | − | 0.930053i | \(-0.380239\pi\) |
−0.621737 | + | 0.783226i | \(0.713573\pi\) | |||||||
\(444\) | −0.0856338 | + | 0.550702i | −0.00406400 | + | 0.0261352i | ||||
\(445\) | 5.28572 | − | 9.15514i | 0.250567 | − | 0.433995i | ||||
\(446\) | 17.5552 | + | 30.4066i | 0.831265 | + | 1.43979i | ||||
\(447\) | −8.72458 | − | 22.5384i | −0.412659 | − | 1.06603i | ||||
\(448\) | −22.5623 | − | 6.72292i | −1.06597 | − | 0.317628i | ||||
\(449\) | 3.93115 | + | 14.6713i | 0.185523 | + | 0.692380i | 0.994518 | + | 0.104565i | \(0.0333450\pi\) |
−0.808995 | + | 0.587815i | \(0.799988\pi\) | |||||||
\(450\) | 0.663888 | − | 1.03501i | 0.0312960 | − | 0.0487910i | ||||
\(451\) | 29.3743 | 1.38318 | ||||||||
\(452\) | −4.34957 | + | 7.53368i | −0.204587 | + | 0.354354i | ||||
\(453\) | 2.17665 | + | 5.62299i | 0.102268 | + | 0.264191i | ||||
\(454\) | − | 19.9397i | − | 0.935816i | ||||||
\(455\) | 19.9023 | + | 5.37723i | 0.933033 | + | 0.252089i | ||||
\(456\) | −11.1004 | + | 25.1220i | −0.519823 | + | 1.17645i | ||||
\(457\) | 4.89956 | − | 4.89956i | 0.229192 | − | 0.229192i | −0.583163 | − | 0.812355i | \(-0.698185\pi\) |
0.812355 | + | 0.583163i | \(0.198185\pi\) | |||||||
\(458\) | 23.2260 | + | 13.4095i | 1.08528 | + | 0.626586i | ||||
\(459\) | 1.21525 | + | 3.63537i | 0.0567230 | + | 0.169685i | ||||
\(460\) | 1.49920 | + | 5.59508i | 0.0699005 | + | 0.260872i | ||||
\(461\) | −35.1295 | + | 9.41292i | −1.63614 | + | 0.438403i | −0.955687 | − | 0.294385i | \(-0.904885\pi\) |
−0.680456 | + | 0.732789i | \(0.738218\pi\) | |||||||
\(462\) | −15.9110 | − | 2.92917i | −0.740245 | − | 0.136277i | ||||
\(463\) | −9.88684 | − | 9.88684i | −0.459481 | − | 0.459481i | 0.439004 | − | 0.898485i | \(-0.355331\pi\) |
−0.898485 | + | 0.439004i | \(0.855331\pi\) | |||||||
\(464\) | −12.7289 | + | 7.34905i | −0.590926 | + | 0.341171i | ||||
\(465\) | −3.19726 | + | 2.33673i | −0.148269 | + | 0.108363i | ||||
\(466\) | −3.62590 | + | 0.971557i | −0.167967 | + | 0.0450065i | ||||
\(467\) | −3.23110 | + | 5.59644i | −0.149518 | + | 0.258972i | −0.931049 | − | 0.364893i | \(-0.881105\pi\) |
0.781532 | + | 0.623866i | \(0.214439\pi\) | |||||||
\(468\) | 2.53675 | − | 4.18800i | 0.117261 | − | 0.193591i | ||||
\(469\) | 30.8893 | + | 0.858793i | 1.42633 | + | 0.0396554i | ||||
\(470\) | 2.84647 | − | 10.6232i | 0.131298 | − | 0.490010i | ||||
\(471\) | −26.7041 | − | 11.7994i | −1.23046 | − | 0.543689i | ||||
\(472\) | − | 13.0828i | − | 0.602183i | ||||||
\(473\) | −4.10586 | + | 15.3233i | −0.188788 | + | 0.704565i | ||||
\(474\) | −17.4836 | + | 21.7151i | −0.803046 | + | 0.997409i | ||||
\(475\) | −1.65423 | + | 0.443251i | −0.0759015 | + | 0.0203377i | ||||
\(476\) | 0.846699 | + | 0.252292i | 0.0388084 | + | 0.0115638i | ||||
\(477\) | −0.419770 | − | 1.92158i | −0.0192199 | − | 0.0879833i | ||||
\(478\) | 0.997952i | 0.0456453i | ||||||||
\(479\) | 1.60826 | + | 6.00210i | 0.0734831 | + | 0.274243i | 0.992885 | − | 0.119076i | \(-0.0379934\pi\) |
−0.919402 | + | 0.393319i | \(0.871327\pi\) | |||||||
\(480\) | 9.33082 | − | 1.00728i | 0.425892 | − | 0.0459759i | ||||
\(481\) | 2.18587 | − | 1.33810i | 0.0996671 | − | 0.0610121i | ||||
\(482\) | − | 5.10213i | − | 0.232396i | ||||||
\(483\) | 9.08812 | + | 25.5665i | 0.413524 | + | 1.16332i | ||||
\(484\) | −0.666556 | − | 1.15451i | −0.0302980 | − | 0.0524776i | ||||
\(485\) | −11.7856 | − | 20.4133i | −0.535156 | − | 0.926918i | ||||
\(486\) | 13.9030 | + | 13.5169i | 0.630653 | + | 0.613141i | ||||
\(487\) | 0.868614 | − | 0.868614i | 0.0393606 | − | 0.0393606i | −0.687153 | − | 0.726513i | \(-0.741140\pi\) |
0.726513 | + | 0.687153i | \(0.241140\pi\) | |||||||
\(488\) | −23.3463 | − | 6.25562i | −1.05684 | − | 0.283179i | ||||
\(489\) | 8.85726 | + | 22.8812i | 0.400539 | + | 1.03472i | ||||
\(490\) | 8.48893 | + | 16.7944i | 0.383491 | + | 0.758692i | ||||
\(491\) | −12.8716 | − | 22.2943i | −0.580889 | − | 1.00613i | −0.995374 | − | 0.0960732i | \(-0.969372\pi\) |
0.414485 | − | 0.910056i | \(-0.363962\pi\) | |||||||
\(492\) | −7.56759 | + | 2.92940i | −0.341173 | + | 0.132068i | ||||
\(493\) | 3.24939 | − | 1.87604i | 0.146345 | − | 0.0844924i | ||||
\(494\) | 22.3538 | − | 6.61014i | 1.00574 | − | 0.297404i | ||||
\(495\) | 17.9768 | − | 3.92703i | 0.807998 | − | 0.176507i | ||||
\(496\) | −2.95307 | − | 0.791272i | −0.132597 | − | 0.0355292i | ||||
\(497\) | 0.814937 | − | 29.3118i | 0.0365549 | − | 1.31482i | ||||
\(498\) | −9.16848 | − | 12.5449i | −0.410850 | − | 0.562150i | ||||
\(499\) | 10.3196 | + | 38.5133i | 0.461969 | + | 1.72409i | 0.666749 | + | 0.745283i | \(0.267685\pi\) |
−0.204780 | + | 0.978808i | \(0.565648\pi\) | |||||||
\(500\) | 3.68668 | + | 3.68668i | 0.164873 | + | 0.164873i | ||||
\(501\) | −8.63731 | + | 3.34349i | −0.385887 | + | 0.149376i | ||||
\(502\) | 6.17570 | − | 1.65477i | 0.275635 | − | 0.0738561i | ||||
\(503\) | −6.49655 | − | 3.75078i | −0.289667 | − | 0.167239i | 0.348125 | − | 0.937448i | \(-0.386819\pi\) |
−0.637792 | + | 0.770209i | \(0.720152\pi\) | |||||||
\(504\) | 23.7925 | − | 4.50860i | 1.05980 | − | 0.200829i | ||||
\(505\) | −9.18292 | + | 34.2711i | −0.408635 | + | 1.52505i | ||||
\(506\) | −10.4519 | + | 18.1032i | −0.464642 | + | 0.804784i | ||||
\(507\) | −22.2328 | + | 3.56423i | −0.987392 | + | 0.158293i | ||||
\(508\) | −0.369485 | − | 0.639967i | −0.0163932 | − | 0.0283939i | ||||
\(509\) | 11.2102 | + | 11.2102i | 0.496883 | + | 0.496883i | 0.910466 | − | 0.413583i | \(-0.135723\pi\) |
−0.413583 | + | 0.910466i | \(0.635723\pi\) | |||||||
\(510\) | 3.41497 | − | 0.368653i | 0.151218 | − | 0.0163242i | ||||
\(511\) | 16.4089 | + | 10.0919i | 0.725887 | + | 0.446439i | ||||
\(512\) | 17.5914 | + | 17.5914i | 0.777439 | + | 0.777439i | ||||
\(513\) | −1.64119 | − | 26.9568i | −0.0724605 | − | 1.19017i | ||||
\(514\) | 5.71443 | + | 5.71443i | 0.252053 | + | 0.252053i | ||||
\(515\) | −23.7539 | − | 6.36485i | −1.04672 | − | 0.280469i | ||||
\(516\) | −0.470362 | − | 4.35714i | −0.0207065 | − | 0.191812i | ||||
\(517\) | −10.0554 | + | 5.80550i | −0.442237 | + | 0.255326i | ||||
\(518\) | 2.24198 | + | 0.668046i | 0.0985069 | + | 0.0293522i | ||||
\(519\) | −11.5240 | − | 5.09200i | −0.505849 | − | 0.223514i | ||||
\(520\) | −17.2367 | − | 16.3723i | −0.755878 | − | 0.717972i | ||||
\(521\) | 36.5841 | − | 21.1218i | 1.60278 | − | 0.925364i | 0.611848 | − | 0.790975i | \(-0.290426\pi\) |
0.990929 | − | 0.134388i | \(-0.0429070\pi\) | |||||||
\(522\) | 10.2479 | − | 15.9766i | 0.448537 | − | 0.699276i | ||||
\(523\) | 7.52814 | 0.329182 | 0.164591 | − | 0.986362i | \(-0.447370\pi\) | ||||
0.164591 | + | 0.986362i | \(0.447370\pi\) | |||||||
\(524\) | −2.38585 | + | 4.13241i | −0.104226 | + | 0.180525i | ||||
\(525\) | 1.14938 | + | 0.979277i | 0.0501630 | + | 0.0427392i | ||||
\(526\) | 1.62146 | + | 6.05135i | 0.0706988 | + | 0.263852i | ||||
\(527\) | 0.753846 | + | 0.201993i | 0.0328381 | + | 0.00879893i | ||||
\(528\) | 11.0648 | + | 8.90863i | 0.481534 | + | 0.387698i | ||||
\(529\) | 12.0590 | 0.524304 | ||||||||
\(530\) | −1.76252 | −0.0765589 | ||||||||
\(531\) | 5.90479 | + | 11.4292i | 0.256246 | + | 0.495986i | ||||
\(532\) | −5.30220 | − | 3.26099i | −0.229880 | − | 0.141382i | ||||
\(533\) | 32.7865 | + | 17.8214i | 1.42014 | + | 0.771932i | ||||
\(534\) | −8.50886 | + | 6.21873i | −0.368214 | + | 0.269111i | ||||
\(535\) | 3.46265 | + | 12.9228i | 0.149703 | + | 0.558700i | ||||
\(536\) | −30.8594 | − | 17.8167i | −1.33292 | − | 0.769564i | ||||
\(537\) | −3.07331 | − | 28.4692i | −0.132623 | − | 1.22854i | ||||
\(538\) | −17.3607 | + | 17.3607i | −0.748471 | + | 0.748471i | ||||
\(539\) | 6.20023 | − | 18.8746i | 0.267063 | − | 0.812989i | ||||
\(540\) | −4.23967 | + | 2.80447i | −0.182446 | + | 0.120685i | ||||
\(541\) | −25.2649 | + | 6.76971i | −1.08622 | + | 0.291053i | −0.757143 | − | 0.653249i | \(-0.773405\pi\) |
−0.329080 | + | 0.944302i | \(0.606739\pi\) | |||||||
\(542\) | 2.40823i | 0.103443i | ||||||||
\(543\) | 7.06283 | + | 9.66381i | 0.303095 | + | 0.414714i | ||||
\(544\) | −1.30782 | − | 1.30782i | −0.0560724 | − | 0.0560724i | ||||
\(545\) | 2.94478 | 0.126140 | ||||||||
\(546\) | −15.9821 | − | 12.9226i | −0.683970 | − | 0.553037i | ||||
\(547\) | 29.3738 | 1.25593 | 0.627967 | − | 0.778240i | \(-0.283887\pi\) | ||||
0.627967 | + | 0.778240i | \(0.283887\pi\) | |||||||
\(548\) | −5.52668 | − | 5.52668i | −0.236088 | − | 0.236088i | ||||
\(549\) | 23.2189 | − | 5.07217i | 0.990960 | − | 0.216475i | ||||
\(550\) | 1.16329i | 0.0496028i | ||||||||
\(551\) | −25.5350 | + | 6.84208i | −1.08783 | + | 0.291482i | ||||
\(552\) | 4.80763 | − | 30.9174i | 0.204626 | − | 1.31593i | ||||
\(553\) | −23.5256 | − | 24.8712i | −1.00041 | − | 1.05763i | ||||
\(554\) | −0.735651 | + | 0.735651i | −0.0312548 | + | 0.0312548i | ||||
\(555\) | −2.64538 | + | 0.285574i | −0.112290 | + | 0.0121220i | ||||
\(556\) | 0.322692 | + | 0.186306i | 0.0136852 | + | 0.00790114i | ||||
\(557\) | 0.556880 | + | 2.07830i | 0.0235957 | + | 0.0880605i | 0.976720 | − | 0.214520i | \(-0.0688186\pi\) |
−0.953124 | + | 0.302580i | \(0.902152\pi\) | |||||||
\(558\) | 3.85709 | − | 0.842579i | 0.163283 | − | 0.0356692i | ||||
\(559\) | −13.8795 | + | 14.6122i | −0.587039 | + | 0.618031i | ||||
\(560\) | 0.459202 | − | 16.5167i | 0.0194048 | − | 0.697957i | ||||
\(561\) | −2.82458 | − | 2.27416i | −0.119254 | − | 0.0960150i | ||||
\(562\) | −28.1219 | −1.18625 | ||||||||
\(563\) | 0.718956 | 0.0303004 | 0.0151502 | − | 0.999885i | \(-0.495177\pi\) | ||||
0.0151502 | + | 0.999885i | \(0.495177\pi\) | |||||||
\(564\) | 2.01158 | − | 2.49844i | 0.0847026 | − | 0.105203i | ||||
\(565\) | −40.1162 | − | 10.7491i | −1.68770 | − | 0.452218i | ||||
\(566\) | −5.28935 | − | 19.7401i | −0.222328 | − | 0.829739i | ||||
\(567\) | −18.7504 | + | 14.6773i | −0.787443 | + | 0.616387i | ||||
\(568\) | −16.9068 | + | 29.2835i | −0.709395 | + | 1.22871i | ||||
\(569\) | 23.7243 | 0.994573 | 0.497286 | − | 0.867587i | \(-0.334330\pi\) | ||||
0.497286 | + | 0.867587i | \(0.334330\pi\) | |||||||
\(570\) | −23.9131 | − | 3.71847i | −1.00161 | − | 0.155750i | ||||
\(571\) | 19.6263 | − | 11.3312i | 0.821334 | − | 0.474198i | −0.0295420 | − | 0.999564i | \(-0.509405\pi\) |
0.850876 | + | 0.525366i | \(0.176072\pi\) | |||||||
\(572\) | 0.119095 | + | 4.63066i | 0.00497961 | + | 0.193618i | ||||
\(573\) | 14.7467 | − | 33.3742i | 0.616052 | − | 1.39423i | ||||
\(574\) | 7.89821 | + | 33.1341i | 0.329665 | + | 1.38299i | ||||
\(575\) | 1.68964 | − | 0.975512i | 0.0704627 | − | 0.0406817i | ||||
\(576\) | −25.4344 | − | 8.10606i | −1.05977 | − | 0.337752i | ||||
\(577\) | 19.4272 | + | 5.20550i | 0.808764 | + | 0.216708i | 0.639428 | − | 0.768851i | \(-0.279171\pi\) |
0.169336 | + | 0.985558i | \(0.445838\pi\) | |||||||
\(578\) | 14.4743 | + | 14.4743i | 0.602049 | + | 0.602049i | ||||
\(579\) | −1.40016 | + | 1.73904i | −0.0581885 | + | 0.0722719i | ||||
\(580\) | 3.51843 | + | 3.51843i | 0.146095 | + | 0.146095i | ||||
\(581\) | 16.7833 | − | 9.07749i | 0.696287 | − | 0.376598i | ||||
\(582\) | 2.52213 | + | 23.3634i | 0.104546 | + | 0.968445i | ||||
\(583\) | 1.31577 | + | 1.31577i | 0.0544935 | + | 0.0544935i | ||||
\(584\) | −11.1070 | − | 19.2379i | −0.459610 | − | 0.796068i | ||||
\(585\) | 22.4476 | + | 6.52336i | 0.928093 | + | 0.269708i | ||||
\(586\) | −15.4745 | + | 26.8026i | −0.639246 | + | 1.10721i | ||||
\(587\) | −5.44596 | + | 20.3246i | −0.224779 | + | 0.838886i | 0.757714 | + | 0.652587i | \(0.226316\pi\) |
−0.982493 | + | 0.186300i | \(0.940351\pi\) | |||||||
\(588\) | 0.284964 | + | 5.48093i | 0.0117517 | + | 0.226030i | ||||
\(589\) | −4.76201 | − | 2.74935i | −0.196215 | − | 0.113285i | ||||
\(590\) | 11.1349 | − | 2.98358i | 0.458416 | − | 0.122832i | ||||
\(591\) | 16.9008 | + | 43.6601i | 0.695205 | + | 1.79594i | ||||
\(592\) | −1.45247 | − | 1.45247i | −0.0596962 | − | 0.0596962i | ||||
\(593\) | 5.64221 | + | 21.0570i | 0.231698 | + | 0.864707i | 0.979610 | + | 0.200910i | \(0.0643898\pi\) |
−0.747912 | + | 0.663798i | \(0.768944\pi\) | |||||||
\(594\) | −17.9752 | − | 3.66233i | −0.737532 | − | 0.150267i | ||||
\(595\) | −0.117223 | + | 4.21631i | −0.00480568 | + | 0.172852i | ||||
\(596\) | −6.10110 | − | 1.63478i | −0.249911 | − | 0.0669634i | ||||
\(597\) | 28.6135 | + | 39.1508i | 1.17107 | + | 1.60233i | ||||
\(598\) | −22.6492 | + | 13.8649i | −0.926195 | + | 0.566978i | ||||
\(599\) | −1.85857 | + | 1.07304i | −0.0759390 | + | 0.0438434i | −0.537489 | − | 0.843271i | \(-0.680627\pi\) |
0.461550 | + | 0.887114i | \(0.347294\pi\) | |||||||
\(600\) | −0.628573 | − | 1.62381i | −0.0256614 | − | 0.0662917i | ||||
\(601\) | 8.24729 | + | 14.2847i | 0.336414 | + | 0.582686i | 0.983755 | − | 0.179514i | \(-0.0574526\pi\) |
−0.647341 | + | 0.762200i | \(0.724119\pi\) | |||||||
\(602\) | −18.3886 | − | 0.511245i | −0.749462 | − | 0.0208368i | ||||
\(603\) | 35.0004 | + | 1.63670i | 1.42533 | + | 0.0666516i | ||||
\(604\) | 1.52213 | + | 0.407854i | 0.0619347 | + | 0.0165953i | ||||
\(605\) | 4.50040 | − | 4.50040i | 0.182967 | − | 0.182967i | ||||
\(606\) | 22.1826 | − | 27.5515i | 0.901107 | − | 1.11920i | ||||
\(607\) | −1.61536 | − | 2.79789i | −0.0655656 | − | 0.113563i | 0.831379 | − | 0.555706i | \(-0.187552\pi\) |
−0.896945 | + | 0.442143i | \(0.854218\pi\) | |||||||
\(608\) | 6.51560 | + | 11.2853i | 0.264242 | + | 0.457681i | ||||
\(609\) | 17.7419 | + | 15.1163i | 0.718940 | + | 0.612541i | ||||
\(610\) | − | 21.2969i | − | 0.862286i | ||||||
\(611\) | −14.7457 | + | 0.379241i | −0.596547 | + | 0.0153425i | ||||
\(612\) | 0.954479 | + | 0.304197i | 0.0385825 | + | 0.0122964i | ||||
\(613\) | 3.57428 | + | 13.3394i | 0.144364 | + | 0.538773i | 0.999783 | + | 0.0208365i | \(0.00663295\pi\) |
−0.855419 | + | 0.517936i | \(0.826700\pi\) | |||||||
\(614\) | 25.3588i | 1.02340i | ||||||||
\(615\) | −22.8599 | − | 31.2783i | −0.921799 | − | 1.26126i | ||||
\(616\) | −16.6433 | + | 15.7429i | −0.670577 | + | 0.634299i | ||||
\(617\) | −14.7898 | + | 3.96291i | −0.595414 | + | 0.159541i | −0.543926 | − | 0.839133i | \(-0.683063\pi\) |
−0.0514875 | + | 0.998674i | \(0.516396\pi\) | |||||||
\(618\) | 19.0965 | + | 15.3752i | 0.768172 | + | 0.618480i | ||||
\(619\) | 2.96775 | − | 11.0758i | 0.119284 | − | 0.445174i | −0.880288 | − | 0.474440i | \(-0.842650\pi\) |
0.999572 | + | 0.0292663i | \(0.00931709\pi\) | |||||||
\(620\) | 1.03498i | 0.0415658i | ||||||||
\(621\) | 9.75428 | + | 29.1796i | 0.391426 | + | 1.17094i | ||||
\(622\) | 2.77012 | − | 10.3382i | 0.111072 | − | 0.414525i | ||||
\(623\) | −6.15702 | − | 11.3836i | −0.246676 | − | 0.456075i | ||||
\(624\) | 6.94523 | + | 16.6565i | 0.278032 | + | 0.666794i | ||||
\(625\) | −11.6219 | + | 20.1298i | −0.464878 | + | 0.805192i | ||||
\(626\) | −20.7831 | + | 5.56881i | −0.830660 | + | 0.222575i | ||||
\(627\) | 15.0758 | + | 20.6277i | 0.602070 | + | 0.823790i | ||||
\(628\) | −6.60779 | + | 3.81501i | −0.263680 | + | 0.152235i | ||||
\(629\) | 0.370781 | + | 0.370781i | 0.0147840 | + | 0.0147840i | ||||
\(630\) | 9.26330 | + | 19.2218i | 0.369059 | + | 0.765817i | ||||
\(631\) | 32.9479 | − | 8.82837i | 1.31164 | − | 0.351452i | 0.465798 | − | 0.884891i | \(-0.345767\pi\) |
0.845838 | + | 0.533440i | \(0.179101\pi\) | |||||||
\(632\) | 10.2176 | + | 38.1324i | 0.406433 | + | 1.51683i | ||||
\(633\) | 15.4332 | + | 6.81928i | 0.613413 | + | 0.271042i | ||||
\(634\) | 29.8412 | + | 17.2288i | 1.18514 | + | 0.684243i | ||||
\(635\) | 2.49466 | − | 2.49466i | 0.0989976 | − | 0.0989976i | ||||
\(636\) | −0.470193 | − | 0.207759i | −0.0186444 | − | 0.00823817i | ||||
\(637\) | 18.3717 | − | 17.3055i | 0.727914 | − | 0.685668i | ||||
\(638\) | 17.9567i | 0.710911i | ||||||||
\(639\) | 1.55312 | − | 33.2131i | 0.0614405 | − | 1.31389i | ||||
\(640\) | −6.54204 | + | 11.3312i | −0.258597 | + | 0.447903i | ||||
\(641\) | −33.6787 | −1.33023 | −0.665115 | − | 0.746741i | \(-0.731617\pi\) | ||||
−0.665115 | + | 0.746741i | \(0.731617\pi\) | |||||||
\(642\) | 2.04938 | − | 13.1794i | 0.0808827 | − | 0.520148i | ||||
\(643\) | −8.96378 | − | 33.4533i | −0.353497 | − | 1.31927i | −0.882366 | − | 0.470564i | \(-0.844050\pi\) |
0.528869 | − | 0.848704i | \(-0.322616\pi\) | |||||||
\(644\) | 6.79609 | + | 2.02504i | 0.267803 | + | 0.0797977i | ||||
\(645\) | 19.5118 | − | 7.55299i | 0.768277 | − | 0.297399i | ||||
\(646\) | 2.38463 | + | 4.13031i | 0.0938222 | + | 0.162505i | ||||
\(647\) | −1.44737 | + | 2.50691i | −0.0569019 | + | 0.0985569i | −0.893073 | − | 0.449911i | \(-0.851456\pi\) |
0.836171 | + | 0.548468i | \(0.184789\pi\) | |||||||
\(648\) | 27.0701 | − | 4.60060i | 1.06341 | − | 0.180729i | ||||
\(649\) | −10.5398 | − | 6.08516i | −0.413724 | − | 0.238864i | ||||
\(650\) | −0.705768 | + | 1.29842i | −0.0276825 | + | 0.0509281i | ||||
\(651\) | 0.386186 | + | 4.83278i | 0.0151358 | + | 0.189411i | ||||
\(652\) | 6.19388 | + | 1.65964i | 0.242571 | + | 0.0649967i | ||||
\(653\) | 35.4831i | 1.38856i | 0.719705 | + | 0.694280i | \(0.244277\pi\) | ||||
−0.719705 | + | 0.694280i | \(0.755723\pi\) | |||||||
\(654\) | −2.68532 | − | 1.18653i | −0.105004 | − | 0.0463971i | ||||
\(655\) | −22.0047 | − | 5.89615i | −0.859796 | − | 0.230382i | ||||
\(656\) | 7.74090 | − | 28.8894i | 0.302231 | − | 1.12794i | ||||
\(657\) | 18.3860 | + | 11.7933i | 0.717305 | + | 0.460101i | ||||
\(658\) | −9.25229 | − | 9.78147i | −0.360692 | − | 0.381321i | ||||
\(659\) | −35.9101 | − | 20.7327i | −1.39886 | − | 0.807633i | −0.404587 | − | 0.914499i | \(-0.632585\pi\) |
−0.994273 | + | 0.106867i | \(0.965918\pi\) | |||||||
\(660\) | 1.94363 | − | 4.39875i | 0.0756556 | − | 0.171221i | ||||
\(661\) | 19.2988 | − | 5.17109i | 0.750635 | − | 0.201132i | 0.136835 | − | 0.990594i | \(-0.456307\pi\) |
0.613800 | + | 0.789462i | \(0.289640\pi\) | |||||||
\(662\) | −19.8765 | − | 34.4271i | −0.772523 | − | 1.33805i | ||||
\(663\) | −1.77295 | − | 4.25200i | −0.0688557 | − | 0.165134i | ||||
\(664\) | −22.0029 | −0.853876 | ||||||||
\(665\) | 8.48641 | − | 28.4806i | 0.329089 | − | 1.10443i | ||||
\(666\) | 2.52737 | + | 0.805485i | 0.0979336 | + | 0.0312119i | ||||
\(667\) | 26.0814 | − | 15.0581i | 1.00988 | − | 0.583053i | ||||
\(668\) | −0.626492 | + | 2.33810i | −0.0242397 | + | 0.0904638i | ||||
\(669\) | −45.5918 | + | 17.6485i | −1.76268 | + | 0.682330i | ||||
\(670\) | 8.12635 | − | 30.3279i | 0.313948 | − | 1.17167i | ||||
\(671\) | −15.8987 | + | 15.8987i | −0.613762 | + | 0.613762i | ||||
\(672\) | 4.93393 | − | 10.3762i | 0.190330 | − | 0.400272i | ||||
\(673\) | −10.8060 | + | 6.23883i | −0.416539 | + | 0.240489i | −0.693596 | − | 0.720365i | \(-0.743975\pi\) |
0.277056 | + | 0.960854i | \(0.410641\pi\) | |||||||
\(674\) | −5.69555 | + | 5.69555i | −0.219384 | + | 0.219384i | ||||
\(675\) | 1.28202 | + | 1.13487i | 0.0493448 | + | 0.0436812i | ||||
\(676\) | −2.67650 | + | 5.24082i | −0.102942 | + | 0.201570i | ||||
\(677\) | 33.0805 | + | 19.0990i | 1.27139 | + | 0.734036i | 0.975249 | − | 0.221109i | \(-0.0709676\pi\) |
0.296139 | + | 0.955145i | \(0.404301\pi\) | |||||||
\(678\) | 32.2505 | + | 25.9659i | 1.23857 | + | 0.997216i | ||||
\(679\) | −28.8457 | − | 0.801978i | −1.10700 | − | 0.0307771i | ||||
\(680\) | 2.43193 | − | 4.21223i | 0.0932604 | − | 0.161532i | ||||
\(681\) | 27.4347 | + | 4.26607i | 1.05130 | + | 0.163476i | ||||
\(682\) | −2.64106 | + | 2.64106i | −0.101131 | + | 0.101131i | ||||
\(683\) | 11.4591 | − | 11.4591i | 0.438470 | − | 0.438470i | −0.453027 | − | 0.891497i | \(-0.649656\pi\) |
0.891497 | + | 0.453027i | \(0.149656\pi\) | |||||||
\(684\) | −5.94105 | − | 3.81077i | −0.227162 | − | 0.145708i | ||||
\(685\) | 18.6573 | − | 32.3154i | 0.712859 | − | 1.23471i | ||||
\(686\) | 22.9576 | + | 1.91878i | 0.876526 | + | 0.0732594i | ||||
\(687\) | −23.4191 | + | 29.0872i | −0.893494 | + | 1.10975i | ||||
\(688\) | 13.9883 | + | 8.07617i | 0.533300 | + | 0.307901i | ||||
\(689\) | 0.670331 | + | 2.26689i | 0.0255376 | + | 0.0863615i | ||||
\(690\) | 27.4105 | − | 2.95902i | 1.04350 | − | 0.112648i | ||||
\(691\) | 5.14187 | − | 5.14187i | 0.195606 | − | 0.195606i | −0.602507 | − | 0.798113i | \(-0.705832\pi\) |
0.798113 | + | 0.602507i | \(0.205832\pi\) | |||||||
\(692\) | −2.85157 | + | 1.64635i | −0.108400 | + | 0.0625849i | ||||
\(693\) | 7.43432 | − | 21.2649i | 0.282406 | − | 0.807787i | ||||
\(694\) | 12.7540 | − | 12.7540i | 0.484133 | − | 0.484133i | ||||
\(695\) | −0.460419 | + | 1.71831i | −0.0174647 | + | 0.0651790i | ||||
\(696\) | −9.70273 | − | 25.0653i | −0.367781 | − | 0.950098i | ||||
\(697\) | −1.97606 | + | 7.37477i | −0.0748488 | + | 0.279339i | ||||
\(698\) | 12.8841 | − | 7.43864i | 0.487670 | − | 0.281557i | ||||
\(699\) | −0.560991 | − | 5.19667i | −0.0212186 | − | 0.196556i | ||||
\(700\) | 0.383878 | − | 0.0915054i | 0.0145092 | − | 0.00345858i | ||||
\(701\) | 23.2319 | 0.877455 | 0.438728 | − | 0.898620i | \(-0.355429\pi\) | ||||
0.438728 | + | 0.898620i | \(0.355429\pi\) | |||||||
\(702\) | −17.8413 | − | 14.9933i | −0.673377 | − | 0.565887i | ||||
\(703\) | −1.84724 | − | 3.19951i | −0.0696699 | − | 0.120672i | ||||
\(704\) | 24.3940 | − | 6.53635i | 0.919383 | − | 0.246348i | ||||
\(705\) | 14.0072 | + | 6.18921i | 0.527542 | + | 0.233099i | ||||
\(706\) | 7.85560 | + | 4.53543i | 0.295649 | + | 0.170693i | ||||
\(707\) | 29.8486 | + | 31.5558i | 1.12257 | + | 1.18678i | ||||
\(708\) | 3.32218 | + | 0.516597i | 0.124855 | + | 0.0194149i | ||||
\(709\) | 4.66911 | − | 17.4253i | 0.175352 | − | 0.654422i | −0.821140 | − | 0.570728i | \(-0.806661\pi\) |
0.996491 | − | 0.0836948i | \(-0.0266721\pi\) | |||||||
\(710\) | −28.7792 | − | 7.71136i | −1.08006 | − | 0.289402i | ||||
\(711\) | −26.1369 | − | 28.7012i | −0.980209 | − | 1.07638i | ||||
\(712\) | 14.9239i | 0.559298i | ||||||||
\(713\) | 6.05080 | + | 1.62131i | 0.226604 | + | 0.0607184i | ||||
\(714\) | 1.80576 | − | 3.79759i | 0.0675789 | − | 0.142121i | ||||
\(715\) | −21.2072 | + | 6.27109i | −0.793104 | + | 0.234525i | ||||
\(716\) | −6.48101 | − | 3.74181i | −0.242207 | − | 0.139838i | ||||
\(717\) | −1.37306 | − | 0.213510i | −0.0512780 | − | 0.00797369i | ||||
\(718\) | 13.1933 | − | 22.8514i | 0.492369 | − | 0.852809i | ||||
\(719\) | −13.9132 | − | 24.0984i | −0.518875 | − | 0.898718i | −0.999759 | − | 0.0219338i | \(-0.993018\pi\) |
0.480885 | − | 0.876784i | \(-0.340316\pi\) | |||||||
\(720\) | 0.875155 | − | 18.7149i | 0.0326151 | − | 0.697465i | ||||
\(721\) | −21.8719 | + | 20.6886i | −0.814552 | + | 0.770484i | ||||
\(722\) | −2.57994 | − | 9.62847i | −0.0960154 | − | 0.358334i | ||||
\(723\) | 7.01993 | + | 1.09159i | 0.261074 | + | 0.0405968i | ||||
\(724\) | 3.12826 | 0.116261 | ||||||||
\(725\) | 0.837981 | − | 1.45143i | 0.0311218 | − | 0.0539046i | ||||
\(726\) | −5.91721 | + | 2.29054i | −0.219608 | + | 0.0850100i | ||||
\(727\) | − | 33.9404i | − | 1.25878i | −0.777090 | − | 0.629390i | \(-0.783305\pi\) | ||
0.777090 | − | 0.629390i | \(-0.216695\pi\) | |||||||
\(728\) | −28.1278 | + | 7.47410i | −1.04249 | + | 0.277009i | ||||
\(729\) | −21.5722 | + | 16.2370i | −0.798972 | + | 0.601369i | ||||
\(730\) | 13.8405 | − | 13.8405i | 0.512262 | − | 0.512262i | ||||
\(731\) | −3.57088 | − | 2.06165i | −0.132074 | − | 0.0762529i | ||||
\(732\) | 2.51040 | − | 5.68144i | 0.0927869 | − | 0.209992i | ||||
\(733\) | −4.64247 | − | 17.3259i | −0.171474 | − | 0.639948i | −0.997125 | − | 0.0757681i | \(-0.975859\pi\) |
0.825652 | − | 0.564180i | \(-0.190808\pi\) | |||||||
\(734\) | 22.3067 | − | 5.97706i | 0.823354 | − | 0.220617i | ||||
\(735\) | −24.9233 | + | 8.08663i | −0.919308 | + | 0.298280i | ||||
\(736\) | −10.4973 | − | 10.4973i | −0.386936 | − | 0.386936i | ||||
\(737\) | −28.7071 | + | 16.5741i | −1.05744 | + | 0.610514i | ||||
\(738\) | 8.24283 | + | 37.7333i | 0.303423 | + | 1.38898i | ||||
\(739\) | 20.5986 | − | 5.51938i | 0.757732 | − | 0.203034i | 0.140787 | − | 0.990040i | \(-0.455037\pi\) |
0.616945 | + | 0.787006i | \(0.288370\pi\) | |||||||
\(740\) | −0.347693 | + | 0.602222i | −0.0127814 | + | 0.0221381i | ||||
\(741\) | 4.31221 | + | 32.1703i | 0.158413 | + | 1.18181i | ||||
\(742\) | −1.13039 | + | 1.83796i | −0.0414980 | + | 0.0674737i | ||||
\(743\) | 10.1253 | − | 37.7883i | 0.371463 | − | 1.38632i | −0.486982 | − | 0.873412i | \(-0.661902\pi\) |
0.858445 | − | 0.512906i | \(-0.171431\pi\) | |||||||
\(744\) | 2.25952 | − | 5.11367i | 0.0828381 | − | 0.187476i | ||||
\(745\) | − | 30.1553i | − | 1.10481i | ||||||
\(746\) | −5.78170 | + | 21.5776i | −0.211683 | + | 0.790013i | ||||
\(747\) | 19.2219 | − | 9.93078i | 0.703292 | − | 0.363348i | ||||
\(748\) | −0.915437 | + | 0.245290i | −0.0334717 | + | 0.00896871i | ||||
\(749\) | 15.6967 | + | 4.67717i | 0.573545 | + | 0.170900i | ||||
\(750\) | 20.0349 | − | 14.6426i | 0.731571 | − | 0.534671i | ||||
\(751\) | − | 9.65862i | − | 0.352448i | −0.984350 | − | 0.176224i | \(-0.943612\pi\) | ||
0.984350 | − | 0.176224i | \(-0.0563883\pi\) | |||||||
\(752\) | 3.05980 | + | 11.4193i | 0.111579 | + | 0.416420i | ||||
\(753\) | 0.955490 | + | 8.85106i | 0.0348200 | + | 0.322551i | ||||
\(754\) | −10.8943 | + | 20.0425i | −0.396748 | + | 0.729906i | ||||
\(755\) | 7.52330i | 0.273801i | ||||||||
\(756\) | 0.205403 | + | 6.21979i | 0.00747043 | + | 0.226212i | ||||
\(757\) | 0.682252 | + | 1.18170i | 0.0247969 | + | 0.0429495i | 0.878158 | − | 0.478372i | \(-0.158773\pi\) |
−0.853361 | + | 0.521321i | \(0.825439\pi\) | |||||||
\(758\) | 1.44242 | + | 2.49835i | 0.0523912 | + | 0.0907443i | ||||
\(759\) | −22.6717 | − | 18.2537i | −0.822929 | − | 0.662567i | ||||
\(760\) | −24.2319 | + | 24.2319i | −0.878983 | + | 0.878983i | ||||
\(761\) | −7.14770 | − | 1.91522i | −0.259104 | − | 0.0694267i | 0.126929 | − | 0.991912i | \(-0.459488\pi\) |
−0.386033 | + | 0.922485i | \(0.626155\pi\) | |||||||
\(762\) | −3.28003 | + | 1.26969i | −0.118823 | + | 0.0459961i | ||||
\(763\) | 1.88863 | − | 3.07083i | 0.0683732 | − | 0.111171i | ||||
\(764\) | −4.76793 | − | 8.25830i | −0.172498 | − | 0.298775i | ||||
\(765\) | −0.223406 | + | 4.77747i | −0.00807725 | + | 0.172730i | ||||
\(766\) | 8.60121 | − | 4.96591i | 0.310774 | − | 0.179426i | ||||
\(767\) | −8.07226 | − | 13.1865i | −0.291472 | − | 0.476138i | ||||
\(768\) | −14.3552 | + | 10.4916i | −0.517999 | + | 0.378581i | ||||
\(769\) | −24.6216 | − | 6.59734i | −0.887878 | − | 0.237906i | −0.214075 | − | 0.976817i | \(-0.568674\pi\) |
−0.673803 | + | 0.738911i | \(0.735340\pi\) | |||||||
\(770\) | −17.1945 | − | 10.5751i | −0.619647 | − | 0.381098i | ||||
\(771\) | −9.08497 | + | 6.63978i | −0.327187 | + | 0.239126i | ||||
\(772\) | 0.151021 | + | 0.563617i | 0.00543535 | + | 0.0202850i | ||||
\(773\) | 14.4610 | + | 14.4610i | 0.520124 | + | 0.520124i | 0.917609 | − | 0.397484i | \(-0.130117\pi\) |
−0.397484 | + | 0.917609i | \(0.630117\pi\) | |||||||
\(774\) | −20.8360 | − | 0.974338i | −0.748933 | − | 0.0350219i | ||||
\(775\) | 0.336725 | − | 0.0902253i | 0.0120955 | − | 0.00324099i | ||||
\(776\) | 28.8178 | + | 16.6380i | 1.03450 | + | 0.597269i | ||||
\(777\) | −1.39882 | + | 2.94177i | −0.0501824 | + | 0.105535i | ||||
\(778\) | 4.22122 | − | 15.7538i | 0.151338 | − | 0.564802i | ||||
\(779\) | 26.8965 | − | 46.5861i | 0.963666 | − | 1.66912i | ||||
\(780\) | 4.83813 | − | 3.73052i | 0.173233 | − | 0.133574i | ||||
\(781\) | 15.7277 | + | 27.2411i | 0.562781 | + | 0.974765i | ||||
\(782\) | −3.84190 | − | 3.84190i | −0.137386 | − | 0.137386i | ||||
\(783\) | 19.7894 | + | 17.5180i | 0.707214 | + | 0.626043i | ||||
\(784\) | −16.9292 | − | 11.0718i | −0.604613 | − | 0.395423i | ||||
\(785\) | −25.7579 | − | 25.7579i | −0.919339 | − | 0.919339i | ||||
\(786\) | 17.6902 | + | 14.2430i | 0.630989 | + | 0.508030i | ||||
\(787\) | −11.3934 | − | 11.3934i | −0.406132 | − | 0.406132i | 0.474255 | − | 0.880387i | \(-0.342717\pi\) |
−0.880387 | + | 0.474255i | \(0.842717\pi\) | |||||||
\(788\) | 11.8187 | + | 3.16681i | 0.421024 | + | 0.112813i | ||||
\(789\) | −8.67285 | + | 0.936252i | −0.308762 | + | 0.0333314i | ||||
\(790\) | −30.1248 | + | 17.3925i | −1.07179 | + | 0.618799i | ||||
\(791\) | −36.9378 | + | 34.9394i | −1.31336 | + | 1.24230i | ||||
\(792\) | −19.2063 | + | 17.4903i | −0.682466 | + | 0.621490i | ||||
\(793\) | −27.3913 | + | 8.09976i | −0.972693 | + | 0.287631i | ||||
\(794\) | −27.6995 | + | 15.9923i | −0.983018 | + | 0.567546i | ||||
\(795\) | 0.377088 | − | 2.42502i | 0.0133739 | − | 0.0860065i | ||||
\(796\) | 12.6734 | 0.449198 | ||||||||
\(797\) | 1.20387 | − | 2.08516i | 0.0426432 | − | 0.0738602i | −0.843916 | − | 0.536475i | \(-0.819755\pi\) |
0.886559 | + | 0.462615i | \(0.153089\pi\) | |||||||
\(798\) | −19.2143 | + | 22.5518i | −0.680179 | + | 0.798326i | ||||
\(799\) | −0.781093 | − | 2.91508i | −0.0276331 | − | 0.103128i | ||||
\(800\) | −0.797995 | − | 0.213822i | −0.0282134 | − | 0.00755976i | ||||
\(801\) | −6.73578 | − | 13.0377i | −0.237997 | − | 0.460664i | ||||
\(802\) | −42.3724 | −1.49622 | ||||||||
\(803\) | −20.6647 | −0.729240 | ||||||||
\(804\) | 5.74283 | − | 7.13278i | 0.202534 | − | 0.251554i | ||||
\(805\) | −0.940900 | + | 33.8425i | −0.0331624 | + | 1.19279i | ||||
\(806\) | −4.55019 | + | 1.34552i | −0.160274 | + | 0.0473938i | ||||
\(807\) | −20.1719 | − | 27.6005i | −0.710085 | − | 0.971584i | ||||
\(808\) | −12.9637 | − | 48.3813i | −0.456062 | − | 1.70205i | ||||
\(809\) | 6.90571 | + | 3.98701i | 0.242792 | + | 0.140176i | 0.616459 | − | 0.787387i | \(-0.288567\pi\) |
−0.373667 | + | 0.927563i | \(0.621900\pi\) | |||||||
\(810\) | 10.0891 | + | 21.9905i | 0.354494 | + | 0.772667i | ||||
\(811\) | 16.4100 | − | 16.4100i | 0.576234 | − | 0.576234i | −0.357629 | − | 0.933864i | \(-0.616415\pi\) |
0.933864 | + | 0.357629i | \(0.116415\pi\) | |||||||
\(812\) | 5.92559 | − | 1.41249i | 0.207947 | − | 0.0495686i | ||||
\(813\) | −3.31345 | − | 0.515238i | −0.116208 | − | 0.0180702i | ||||
\(814\) | −2.42399 | + | 0.649506i | −0.0849608 | + | 0.0227652i | ||||
\(815\) | 30.6139i | 1.07236i | ||||||||
\(816\) | −2.98097 | + | 2.17865i | −0.104355 | + | 0.0762680i | ||||
\(817\) | 20.5424 | + | 20.5424i | 0.718686 | + | 0.718686i | ||||
\(818\) | 23.0143 | 0.804676 | ||||||||
\(819\) | 21.1993 | − | 19.2247i | 0.740765 | − | 0.671764i | ||||
\(820\) | −10.1251 | −0.353583 | ||||||||
\(821\) | −9.92632 | − | 9.92632i | −0.346431 | − | 0.346431i | 0.512347 | − | 0.858778i | \(-0.328776\pi\) |
−0.858778 | + | 0.512347i | \(0.828776\pi\) | |||||||
\(822\) | −30.0342 | + | 21.9506i | −1.04756 | + | 0.765615i | ||||
\(823\) | − | 50.7478i | − | 1.76896i | −0.466581 | − | 0.884478i | \(-0.654514\pi\) | ||
0.466581 | − | 0.884478i | \(-0.345486\pi\) | |||||||
\(824\) | 33.5340 | − | 8.98540i | 1.16821 | − | 0.313021i | ||||
\(825\) | −1.60055 | − | 0.248884i | −0.0557239 | − | 0.00866502i | ||||
\(826\) | 4.03007 | − | 13.5250i | 0.140224 | − | 0.470596i | ||||
\(827\) | 22.2969 | − | 22.2969i | 0.775339 | − | 0.775339i | −0.203696 | − | 0.979034i | \(-0.565295\pi\) |
0.979034 | + | 0.203696i | \(0.0652953\pi\) | |||||||
\(828\) | 7.66119 | + | 2.44166i | 0.266245 | + | 0.0848535i | ||||
\(829\) | −35.5651 | − | 20.5335i | −1.23523 | − | 0.713158i | −0.267111 | − | 0.963666i | \(-0.586069\pi\) |
−0.968114 | + | 0.250508i | \(0.919402\pi\) | |||||||
\(830\) | −5.01785 | − | 18.7269i | −0.174172 | − | 0.650019i | ||||
\(831\) | −0.854777 | − | 1.16956i | −0.0296519 | − | 0.0405716i | ||||
\(832\) | 31.1933 | + | 7.50424i | 1.08143 | + | 0.260163i | ||||
\(833\) | 4.32160 | + | 2.82637i | 0.149735 | + | 0.0979280i | ||||
\(834\) | 1.11220 | − | 1.38139i | 0.0385125 | − | 0.0478337i | ||||
\(835\) | −11.5563 | −0.399923 | ||||||||
\(836\) | 6.67736 | 0.230941 | ||||||||
\(837\) | 0.334071 | + | 5.48716i | 0.0115472 | + | 0.189664i | ||||
\(838\) | −19.0995 | − | 5.11769i | −0.659781 | − | 0.176788i | ||||
\(839\) | 1.13505 | + | 4.23605i | 0.0391861 | + | 0.146245i | 0.982747 | − | 0.184954i | \(-0.0592136\pi\) |
−0.943561 | + | 0.331199i | \(0.892547\pi\) | |||||||
\(840\) | 29.7156 | + | 5.47056i | 1.02528 | + | 0.188752i | ||||
\(841\) | −1.56482 | + | 2.71035i | −0.0539593 | + | 0.0934603i | ||||
\(842\) | 4.74601 | 0.163558 | ||||||||
\(843\) | 6.01664 | − | 38.6924i | 0.207224 | − | 1.33264i | ||||
\(844\) | 3.81886 | − | 2.20482i | 0.131451 | − | 0.0758930i | ||||
\(845\) | −27.4753 | − | 5.86688i | −0.945180 | − | 0.201827i | ||||
\(846\) | −10.2793 | − | 11.2878i | −0.353408 | − | 0.388082i | ||||
\(847\) | −1.80670 | − | 7.57937i | −0.0620790 | − | 0.260430i | ||||
\(848\) | 1.64079 | − | 0.947308i | 0.0563448 | − | 0.0325307i | ||||
\(849\) | 28.2917 | − | 3.05415i | 0.970969 | − | 0.104818i | ||||
\(850\) | −0.292057 | − | 0.0782565i | −0.0100175 | − | 0.00268418i | ||||
\(851\) | 2.97610 | + | 2.97610i | 0.102019 | + | 0.102019i | ||||
\(852\) | −6.76853 | − | 5.44956i | −0.231886 | − | 0.186699i | ||||
\(853\) | 15.6641 | + | 15.6641i | 0.536327 | + | 0.536327i | 0.922448 | − | 0.386121i | \(-0.126185\pi\) |
−0.386121 | + | 0.922448i | \(0.626185\pi\) | |||||||
\(854\) | −22.2085 | − | 13.6588i | −0.759959 | − | 0.467394i | ||||
\(855\) | 10.2323 | − | 32.1060i | 0.349939 | − | 1.09800i | ||||
\(856\) | −13.3551 | − | 13.3551i | −0.456467 | − | 0.456467i | ||||
\(857\) | 6.28848 | + | 10.8920i | 0.214811 | + | 0.372063i | 0.953214 | − | 0.302296i | \(-0.0977533\pi\) |
−0.738403 | + | 0.674359i | \(0.764420\pi\) | |||||||
\(858\) | 21.8654 | + | 2.82640i | 0.746474 | + | 0.0964919i | ||||
\(859\) | −8.09264 | + | 14.0169i | −0.276117 | + | 0.478249i | −0.970416 | − | 0.241437i | \(-0.922381\pi\) |
0.694299 | + | 0.719687i | \(0.255714\pi\) | |||||||
\(860\) | 1.41525 | − | 5.28180i | 0.0482598 | − | 0.180108i | ||||
\(861\) | −47.2784 | + | 3.77801i | −1.61124 | + | 0.128754i | ||||
\(862\) | 16.2545 | + | 9.38455i | 0.553631 | + | 0.319639i | ||||
\(863\) | 8.81053 | − | 2.36077i | 0.299914 | − | 0.0803617i | −0.105724 | − | 0.994396i | \(-0.533716\pi\) |
0.405638 | + | 0.914034i | \(0.367049\pi\) | |||||||
\(864\) | 5.81629 | − | 11.6575i | 0.197874 | − | 0.396597i | ||||
\(865\) | −11.1157 | − | 11.1157i | −0.377946 | − | 0.377946i | ||||
\(866\) | −6.33561 | − | 23.6448i | −0.215293 | − | 0.803484i | ||||
\(867\) | −23.0116 | + | 16.8181i | −0.781515 | + | 0.571173i | ||||
\(868\) | 1.07928 | + | 0.663785i | 0.0366332 | + | 0.0225303i | ||||
\(869\) | 35.4729 | + | 9.50494i | 1.20334 | + | 0.322433i | ||||
\(870\) | 19.1206 | − | 13.9744i | 0.648249 | − | 0.473775i | ||||
\(871\) | −42.0973 | + | 1.08269i | −1.42641 | + | 0.0366856i | ||||
\(872\) | −3.60025 | + | 2.07860i | −0.121920 | + | 0.0703904i | ||||
\(873\) | −32.6849 | − | 1.52842i | −1.10622 | − | 0.0517292i | ||||
\(874\) | 19.1404 | + | 33.1522i | 0.647435 | + | 1.12139i | ||||
\(875\) | 14.4973 | + | 26.8038i | 0.490097 | + | 0.906133i | ||||
\(876\) | 5.32376 | − | 2.06082i | 0.179873 | − | 0.0696285i | ||||
\(877\) | −25.7335 | − | 6.89528i | −0.868960 | − | 0.232837i | −0.203322 | − | 0.979112i | \(-0.565174\pi\) |
−0.665638 | + | 0.746275i | \(0.731841\pi\) | |||||||
\(878\) | −9.39678 | + | 9.39678i | −0.317126 | + | 0.317126i | ||||
\(879\) | −33.5665 | − | 27.0255i | −1.13217 | − | 0.911546i | ||||
\(880\) | 8.86226 | + | 15.3499i | 0.298747 | + | 0.517445i | ||||
\(881\) | 3.64638 | + | 6.31572i | 0.122850 | + | 0.212782i | 0.920890 | − | 0.389822i | \(-0.127463\pi\) |
−0.798041 | + | 0.602604i | \(0.794130\pi\) | |||||||
\(882\) | 25.9856 | + | 2.66813i | 0.874982 | + | 0.0898407i | ||||
\(883\) | − | 18.7261i | − | 0.630184i | −0.949061 | − | 0.315092i | \(-0.897965\pi\) | ||
0.949061 | − | 0.315092i | \(-0.102035\pi\) | |||||||
\(884\) | −1.17059 | − | 0.281613i | −0.0393713 | − | 0.00947166i | ||||
\(885\) | 1.72276 | + | 15.9586i | 0.0579101 | + | 0.536443i | ||||
\(886\) | 1.98987 | + | 7.42631i | 0.0668512 | + | 0.249492i | ||||
\(887\) | 50.4078i | 1.69253i | 0.532763 | + | 0.846264i | \(0.321154\pi\) | ||||
−0.532763 | + | 0.846264i | \(0.678846\pi\) | |||||||
\(888\) | 3.03264 | − | 2.21641i | 0.101769 | − | 0.0743780i | ||||
\(889\) | −1.00149 | − | 4.20139i | −0.0335889 | − | 0.140910i | ||||
\(890\) | −12.7019 | + | 3.40347i | −0.425769 | + | 0.114085i | ||||
\(891\) | 8.88470 | − | 23.9482i | 0.297649 | − | 0.802296i | ||||
\(892\) | −3.30692 | + | 12.3416i | −0.110724 | + | 0.413227i | ||||
\(893\) | 21.2631i | 0.711544i | ||||||||
\(894\) | −12.1504 | + | 27.4984i | −0.406370 | + | 0.919684i | ||||
\(895\) | 9.24716 | − | 34.5109i | 0.309098 | − | 1.15357i | ||||
\(896\) | 7.62043 | + | 14.0893i | 0.254581 | + | 0.470691i | ||||
\(897\) | −14.2307 | − | 34.1290i | −0.475149 | − | 1.13953i | ||||
\(898\) | 9.44681 | − | 16.3624i | 0.315244 | − | 0.546019i | ||||
\(899\) | 5.19774 | − | 1.39273i | 0.173354 | − | 0.0464501i | ||||
\(900\) | 0.437163 | − | 0.0954981i | 0.0145721 | − | 0.00318327i | ||||
\(901\) | −0.418853 | + | 0.241825i | −0.0139540 | + | 0.00805635i | ||||
\(902\) | −25.8371 | − | 25.8371i | −0.860283 | − | 0.860283i | ||||
\(903\) | 4.63762 | − | 25.1911i | 0.154330 | − | 0.838307i | ||||
\(904\) | 56.6329 | − | 15.1748i | 1.88358 | − | 0.504705i | ||||
\(905\) | 3.86544 | + | 14.4260i | 0.128492 | + | 0.479537i | ||||
\(906\) | 3.03134 | − | 6.86043i | 0.100710 | − | 0.227923i | ||||
\(907\) | 44.9921 | + | 25.9762i | 1.49394 | + | 0.862526i | 0.999976 | − | 0.00695653i | \(-0.00221435\pi\) |
0.493963 | + | 0.869483i | \(0.335548\pi\) | |||||||
\(908\) | 5.13090 | − | 5.13090i | 0.170275 | − | 0.170275i | ||||
\(909\) | 33.1617 | + | 36.4152i | 1.09990 | + | 1.20782i | ||||
\(910\) | −12.7760 | − | 22.2354i | −0.423519 | − | 0.737096i | ||||
\(911\) | − | 40.8594i | − | 1.35373i | −0.736107 | − | 0.676866i | \(-0.763338\pi\) | ||
0.736107 | − | 0.676866i | \(-0.236662\pi\) | |||||||
\(912\) | 24.2600 | − | 9.39102i | 0.803330 | − | 0.310968i | ||||
\(913\) | −10.2341 | + | 17.7261i | −0.338701 | + | 0.586647i | ||||
\(914\) | −8.61913 | −0.285095 | ||||||||
\(915\) | 29.3020 | + | 4.55644i | 0.968695 | + | 0.150631i | ||||
\(916\) | 2.52598 | + | 9.42709i | 0.0834607 | + | 0.311480i | ||||
\(917\) | −20.2613 | + | 19.1651i | −0.669086 | + | 0.632888i | ||||
\(918\) | 2.12870 | − | 4.26652i | 0.0702575 | − | 0.140816i | ||||
\(919\) | −5.23746 | − | 9.07155i | −0.172768 | − | 0.299243i | 0.766619 | − | 0.642103i | \(-0.221938\pi\) |
−0.939387 | + | 0.342860i | \(0.888604\pi\) | |||||||
\(920\) | 19.5201 | − | 33.8098i | 0.643558 | − | 1.11468i | ||||
\(921\) | −34.8907 | − | 5.42548i | −1.14969 | − | 0.178776i | ||||
\(922\) | 39.1787 | + | 22.6198i | 1.29028 | + | 0.744945i | ||||
\(923\) | 1.02740 | + | 39.9475i | 0.0338174 | + | 1.31489i | ||||
\(924\) | −3.34049 | − | 4.84796i | −0.109894 | − | 0.159486i | ||||
\(925\) | 0.226240 | + | 0.0606208i | 0.00743872 | + | 0.00199320i | ||||
\(926\) | 17.3926i | 0.571556i | ||||||||
\(927\) | −25.2401 | + | 22.9850i | −0.828993 | + | 0.754925i | ||||
\(928\) | −12.3180 | − | 3.30059i | −0.404357 | − | 0.108347i | ||||
\(929\) | −9.25980 | + | 34.5580i | −0.303804 | + | 1.13381i | 0.630166 | + | 0.776461i | \(0.282987\pi\) |
−0.933970 | + | 0.357352i | \(0.883680\pi\) | |||||||
\(930\) | 4.86760 | + | 0.756908i | 0.159615 | + | 0.0248200i | ||||
\(931\) | −24.2569 | − | 27.1157i | −0.794989 | − | 0.888682i | ||||
\(932\) | −1.18302 | − | 0.683018i | −0.0387512 | − | 0.0223730i | ||||
\(933\) | 13.6315 | + | 6.02320i | 0.446275 | + | 0.197191i | ||||
\(934\) | 7.76455 | − | 2.08050i | 0.254064 | − | 0.0680762i | ||||
\(935\) | −2.26232 | − | 3.91845i | −0.0739858 | − | 0.128147i | ||||
\(936\) | −32.0487 | + | 7.86950i | −1.04754 | + | 0.257223i | ||||
\(937\) | −26.8113 | −0.875886 | −0.437943 | − | 0.899003i | \(-0.644293\pi\) | ||||
−0.437943 | + | 0.899003i | \(0.644293\pi\) | |||||||
\(938\) | −26.4143 | − | 27.9250i | −0.862457 | − | 0.911785i | ||||
\(939\) | −3.21551 | − | 29.7865i | −0.104934 | − | 0.972046i | ||||
\(940\) | 3.46602 | − | 2.00111i | 0.113049 | − | 0.0652689i | ||||
\(941\) | 13.6407 | − | 50.9079i | 0.444675 | − | 1.65955i | −0.272118 | − | 0.962264i | \(-0.587724\pi\) |
0.716793 | − | 0.697286i | \(-0.245609\pi\) | |||||||
\(942\) | 13.1098 | + | 33.8670i | 0.427142 | + | 1.10345i | ||||
\(943\) | −15.8610 | + | 59.1941i | −0.516506 | + | 1.92763i | ||||
\(944\) | −8.76223 | + | 8.76223i | −0.285186 | + | 0.285186i | ||||
\(945\) | −28.4289 | + | 8.63271i | −0.924791 | + | 0.280822i | ||||
\(946\) | 17.0895 | − | 9.86664i | 0.555628 | − | 0.320792i | ||||
\(947\) | 40.0421 | − | 40.0421i | 1.30119 | − | 1.30119i | 0.373605 | − | 0.927588i | \(-0.378122\pi\) |
0.927588 | − | 0.373605i | \(-0.121878\pi\) | |||||||
\(948\) | −10.0866 | + | 1.08887i | −0.327599 | + | 0.0353650i | ||||
\(949\) | −23.0651 | − | 12.5373i | −0.748725 | − | 0.406977i | ||||
\(950\) | 1.84491 | + | 1.06516i | 0.0598568 | + | 0.0345583i | ||||
\(951\) | −30.0893 | + | 37.3718i | −0.975712 | + | 1.21186i | ||||
\(952\) | −2.83281 | − | 5.23755i | −0.0918120 | − | 0.169750i | ||||
\(953\) | −2.59222 | + | 4.48985i | −0.0839702 | + | 0.145441i | −0.904952 | − | 0.425514i | \(-0.860093\pi\) |
0.820982 | + | 0.570954i | \(0.193427\pi\) | |||||||
\(954\) | −1.32097 | + | 2.05941i | −0.0427680 | + | 0.0666760i | ||||
\(955\) | 32.1917 | − | 32.1917i | 1.04170 | − | 1.04170i | ||||
\(956\) | −0.256794 | + | 0.256794i | −0.00830531 | + | 0.00830531i | ||||
\(957\) | −24.7062 | − | 3.84180i | −0.798639 | − | 0.124188i | ||||
\(958\) | 3.86474 | − | 6.69393i | 0.124864 | − | 0.216271i | ||||
\(959\) | −21.7328 | − | 40.1814i | −0.701787 | − | 1.29753i | ||||
\(960\) | −25.9441 | − | 20.8884i | −0.837342 | − | 0.674171i | ||||
\(961\) | −25.8775 | − | 14.9404i | −0.834757 | − | 0.481947i | ||||
\(962\) | −3.09962 | − | 0.745684i | −0.0999358 | − | 0.0240418i | ||||
\(963\) | 17.6948 | + | 5.63942i | 0.570207 | + | 0.181728i | ||||
\(964\) | 1.31289 | − | 1.31289i | 0.0422852 | − | 0.0422852i | ||||
\(965\) | −2.41252 | + | 1.39287i | −0.0776617 | + | 0.0448380i | ||||
\(966\) | 14.4941 | − | 30.4816i | 0.466339 | − | 0.980729i | ||||
\(967\) | 8.18818 | − | 8.18818i | 0.263314 | − | 0.263314i | −0.563085 | − | 0.826399i | \(-0.690386\pi\) |
0.826399 | + | 0.563085i | \(0.190386\pi\) | |||||||
\(968\) | −2.32547 | + | 8.67879i | −0.0747436 | + | 0.278947i | ||||
\(969\) | −6.19300 | + | 2.39730i | −0.198948 | + | 0.0770124i | ||||
\(970\) | −7.58873 | + | 28.3215i | −0.243660 | + | 0.909350i | ||||
\(971\) | 25.0607 | − | 14.4688i | 0.804235 | − | 0.464325i | −0.0407150 | − | 0.999171i | \(-0.512964\pi\) |
0.844950 | + | 0.534846i | \(0.179630\pi\) | |||||||
\(972\) | 0.0993439 | + | 7.05573i | 0.00318646 | + | 0.226313i | ||||
\(973\) | 1.49657 | + | 1.58216i | 0.0479777 | + | 0.0507218i | ||||
\(974\) | −1.52803 | −0.0489614 | ||||||||
\(975\) | −1.63547 | − | 1.24885i | −0.0523770 | − | 0.0399951i | ||||
\(976\) | 11.4465 | + | 19.8260i | 0.366394 | + | 0.634614i | ||||
\(977\) | 33.9397 | − | 9.09411i | 1.08583 | − | 0.290946i | 0.328846 | − | 0.944384i | \(-0.393340\pi\) |
0.756981 | + | 0.653437i | \(0.226674\pi\) | |||||||
\(978\) | 12.3352 | − | 27.9166i | 0.394436 | − | 0.892673i | ||||
\(979\) | 12.0231 | + | 6.94154i | 0.384260 | + | 0.221853i | ||||
\(980\) | −2.13716 | + | 6.50593i | −0.0682692 | + | 0.207824i | ||||
\(981\) | 2.20705 | − | 3.44082i | 0.0704656 | − | 0.109857i | ||||
\(982\) | −8.28803 | + | 30.9314i | −0.264482 | + | 0.987060i | ||||
\(983\) | 13.6336 | + | 3.65311i | 0.434845 | + | 0.116516i | 0.469599 | − | 0.882880i | \(-0.344398\pi\) |
−0.0347548 | + | 0.999396i | \(0.511065\pi\) | |||||||
\(984\) | 50.0264 | + | 22.1046i | 1.59478 | + | 0.704669i | ||||
\(985\) | 58.4152i | 1.86126i | ||||||||
\(986\) | −4.50823 | − | 1.20798i | −0.143571 | − | 0.0384698i | ||||
\(987\) | 15.4377 | − | 10.6373i | 0.491386 | − | 0.338590i | ||||
\(988\) | 7.45302 | + | 4.05116i | 0.237112 | + | 0.128885i | ||||
\(989\) | −28.6619 | − | 16.5480i | −0.911396 | − | 0.526195i | ||||
\(990\) | −19.2662 | − | 12.3579i | −0.612321 | − | 0.392761i | ||||
\(991\) | 22.2206 | − | 38.4872i | 0.705860 | − | 1.22258i | −0.260521 | − | 0.965468i | \(-0.583894\pi\) |
0.966380 | − | 0.257117i | \(-0.0827725\pi\) | |||||||
\(992\) | −1.32627 | − | 2.29717i | −0.0421092 | − | 0.0729353i | ||||
\(993\) | 51.6202 | − | 19.9821i | 1.63812 | − | 0.634113i | ||||
\(994\) | −26.4990 | + | 25.0654i | −0.840497 | + | 0.795025i | ||||
\(995\) | 15.6600 | + | 58.4438i | 0.496454 | + | 1.85279i | ||||
\(996\) | 0.868823 | − | 5.58731i | 0.0275297 | − | 0.177041i | ||||
\(997\) | −14.6069 | −0.462605 | −0.231302 | − | 0.972882i | \(-0.574299\pi\) | ||||
−0.231302 | + | 0.972882i | \(0.574299\pi\) | |||||||
\(998\) | 24.7987 | − | 42.9525i | 0.784988 | − | 1.35964i | ||||
\(999\) | −1.64898 | + | 3.30503i | −0.0521714 | + | 0.104566i |
(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 | 273.2.bv.b.2.9 | ✓ | 128 | |
3.2 | odd | 2 | inner | 273.2.bv.b.2.24 | yes | 128 | |
7.4 | even | 3 | 273.2.bw.b.158.24 | yes | 128 | ||
13.7 | odd | 12 | 273.2.bw.b.254.9 | yes | 128 | ||
21.11 | odd | 6 | 273.2.bw.b.158.9 | yes | 128 | ||
39.20 | even | 12 | 273.2.bw.b.254.24 | yes | 128 | ||
91.46 | odd | 12 | inner | 273.2.bv.b.137.24 | yes | 128 | |
273.137 | even | 12 | inner | 273.2.bv.b.137.9 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bv.b.2.9 | ✓ | 128 | 1.1 | even | 1 | trivial | |
273.2.bv.b.2.24 | yes | 128 | 3.2 | odd | 2 | inner | |
273.2.bv.b.137.9 | yes | 128 | 273.137 | even | 12 | inner | |
273.2.bv.b.137.24 | yes | 128 | 91.46 | odd | 12 | inner | |
273.2.bw.b.158.9 | yes | 128 | 21.11 | odd | 6 | ||
273.2.bw.b.158.24 | yes | 128 | 7.4 | even | 3 | ||
273.2.bw.b.254.9 | yes | 128 | 13.7 | odd | 12 | ||
273.2.bw.b.254.24 | yes | 128 | 39.20 | even | 12 |