Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 133.11 | ||
Character | \(\chi\) | \(=\) | 144.133 |
Dual form | 144.2.x.e.13.11 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.562928 | + | 1.29735i | 0.398050 | + | 0.917364i | ||||
\(3\) | 0.388965 | + | 1.68781i | 0.224569 | + | 0.974458i | ||||
\(4\) | −1.36622 | + | 1.46063i | −0.683112 | + | 0.730314i | ||||
\(5\) | 0.226831 | − | 0.846545i | 0.101442 | − | 0.378587i | −0.896475 | − | 0.443094i | \(-0.853881\pi\) |
0.997917 | + | 0.0645072i | \(0.0205475\pi\) | |||||||
\(6\) | −1.97072 | + | 1.45474i | −0.804542 | + | 0.593895i | ||||
\(7\) | 0.567074 | + | 0.327400i | 0.214334 | + | 0.123746i | 0.603324 | − | 0.797496i | \(-0.293843\pi\) |
−0.388990 | + | 0.921242i | \(0.627176\pi\) | |||||||
\(8\) | −2.66403 | − | 0.950239i | −0.941876 | − | 0.335960i | ||||
\(9\) | −2.69741 | + | 1.31300i | −0.899137 | + | 0.437667i | ||||
\(10\) | 1.22595 | − | 0.182265i | 0.387681 | − | 0.0576374i | ||||
\(11\) | 5.75313 | − | 1.54155i | 1.73463 | − | 0.464794i | 0.753392 | − | 0.657572i | \(-0.228416\pi\) |
0.981242 | + | 0.192778i | \(0.0617498\pi\) | |||||||
\(12\) | −2.99668 | − | 1.73779i | −0.865066 | − | 0.501658i | ||||
\(13\) | −4.44367 | − | 1.19068i | −1.23245 | − | 0.330234i | −0.416918 | − | 0.908944i | \(-0.636890\pi\) |
−0.815534 | + | 0.578710i | \(0.803556\pi\) | |||||||
\(14\) | −0.105530 | + | 0.919995i | −0.0282041 | + | 0.245879i | ||||
\(15\) | 1.51704 | + | 0.0535712i | 0.391698 | + | 0.0138320i | ||||
\(16\) | −0.266866 | − | 3.99109i | −0.0667165 | − | 0.997772i | ||||
\(17\) | 2.75816 | 0.668953 | 0.334477 | − | 0.942404i | \(-0.391441\pi\) | ||||
0.334477 | + | 0.942404i | \(0.391441\pi\) | |||||||
\(18\) | −3.22187 | − | 2.76036i | −0.759401 | − | 0.650622i | ||||
\(19\) | −1.73499 | + | 1.73499i | −0.398034 | + | 0.398034i | −0.877539 | − | 0.479505i | \(-0.840816\pi\) |
0.479505 | + | 0.877539i | \(0.340816\pi\) | |||||||
\(20\) | 0.926585 | + | 1.48789i | 0.207191 | + | 0.332701i | ||||
\(21\) | −0.332018 | + | 1.08446i | −0.0724522 | + | 0.236649i | ||||
\(22\) | 5.23852 | + | 6.59603i | 1.11686 | + | 1.40628i | ||||
\(23\) | 3.50762 | − | 2.02512i | 0.731389 | − | 0.422268i | −0.0875410 | − | 0.996161i | \(-0.527901\pi\) |
0.818930 | + | 0.573893i | \(0.194568\pi\) | |||||||
\(24\) | 0.567609 | − | 4.86599i | 0.115863 | − | 0.993265i | ||||
\(25\) | 3.66494 | + | 2.11595i | 0.732988 | + | 0.423191i | ||||
\(26\) | −0.956743 | − | 6.43525i | −0.187633 | − | 1.26206i | ||||
\(27\) | −3.26530 | − | 4.04201i | −0.628407 | − | 0.777885i | ||||
\(28\) | −1.25296 | + | 0.380982i | −0.236787 | + | 0.0719988i | ||||
\(29\) | −0.662669 | − | 2.47312i | −0.123055 | − | 0.459246i | 0.876708 | − | 0.481022i | \(-0.159734\pi\) |
−0.999763 | + | 0.0217764i | \(0.993068\pi\) | |||||||
\(30\) | 0.784483 | + | 1.99828i | 0.143226 | + | 0.364835i | ||||
\(31\) | 2.08801 | + | 3.61654i | 0.375018 | + | 0.649550i | 0.990330 | − | 0.138734i | \(-0.0443033\pi\) |
−0.615312 | + | 0.788284i | \(0.710970\pi\) | |||||||
\(32\) | 5.02760 | − | 2.59291i | 0.888763 | − | 0.458367i | ||||
\(33\) | 4.83961 | + | 9.11059i | 0.842468 | + | 1.58595i | ||||
\(34\) | 1.55265 | + | 3.57830i | 0.266277 | + | 0.613673i | ||||
\(35\) | 0.405789 | − | 0.405789i | 0.0685909 | − | 0.0685909i | ||||
\(36\) | 1.76746 | − | 5.73377i | 0.294577 | − | 0.955628i | ||||
\(37\) | −4.30563 | − | 4.30563i | −0.707841 | − | 0.707841i | 0.258240 | − | 0.966081i | \(-0.416858\pi\) |
−0.966081 | + | 0.258240i | \(0.916858\pi\) | |||||||
\(38\) | −3.22756 | − | 1.27421i | −0.523579 | − | 0.206704i | ||||
\(39\) | 0.281205 | − | 7.96320i | 0.0450288 | − | 1.27513i | ||||
\(40\) | −1.40870 | + | 2.03968i | −0.222736 | + | 0.322501i | ||||
\(41\) | −6.15806 | + | 3.55536i | −0.961728 | + | 0.555254i | −0.896704 | − | 0.442630i | \(-0.854046\pi\) |
−0.0650233 | + | 0.997884i | \(0.520712\pi\) | |||||||
\(42\) | −1.59382 | + | 0.179731i | −0.245933 | + | 0.0277331i | ||||
\(43\) | −0.841515 | + | 0.225483i | −0.128330 | + | 0.0343859i | −0.322412 | − | 0.946599i | \(-0.604494\pi\) |
0.194082 | + | 0.980985i | \(0.437827\pi\) | |||||||
\(44\) | −5.60844 | + | 10.5093i | −0.845504 | + | 1.58433i | ||||
\(45\) | 0.499657 | + | 2.58131i | 0.0744845 | + | 0.384799i | ||||
\(46\) | 4.60183 | + | 3.41060i | 0.678503 | + | 0.502866i | ||||
\(47\) | 4.65521 | − | 8.06305i | 0.679032 | − | 1.17612i | −0.296241 | − | 0.955113i | \(-0.595733\pi\) |
0.975273 | − | 0.221004i | \(-0.0709334\pi\) | |||||||
\(48\) | 6.63240 | − | 2.00281i | 0.957305 | − | 0.289081i | ||||
\(49\) | −3.28562 | − | 5.69086i | −0.469374 | − | 0.812980i | ||||
\(50\) | −0.682031 | + | 5.94583i | −0.0964537 | + | 0.840868i | ||||
\(51\) | 1.07283 | + | 4.65526i | 0.150226 | + | 0.651867i | ||||
\(52\) | 7.81018 | − | 4.86381i | 1.08308 | − | 0.674489i | ||||
\(53\) | −7.64584 | − | 7.64584i | −1.05024 | − | 1.05024i | −0.998669 | − | 0.0515677i | \(-0.983578\pi\) |
−0.0515677 | − | 0.998669i | \(-0.516422\pi\) | |||||||
\(54\) | 3.40577 | − | 6.51159i | 0.463466 | − | 0.886115i | ||||
\(55\) | − | 5.21996i | − | 0.703859i | ||||||
\(56\) | −1.19959 | − | 1.41106i | −0.160302 | − | 0.188561i | ||||
\(57\) | −3.60318 | − | 2.25348i | −0.477253 | − | 0.298481i | ||||
\(58\) | 2.83546 | − | 2.25190i | 0.372314 | − | 0.295689i | ||||
\(59\) | −1.83103 | + | 6.83351i | −0.238380 | + | 0.889647i | 0.738216 | + | 0.674565i | \(0.235669\pi\) |
−0.976596 | + | 0.215082i | \(0.930998\pi\) | |||||||
\(60\) | −2.15086 | + | 2.14264i | −0.277675 | + | 0.276613i | ||||
\(61\) | 1.01219 | + | 3.77755i | 0.129598 | + | 0.483666i | 0.999962 | − | 0.00874306i | \(-0.00278304\pi\) |
−0.870364 | + | 0.492409i | \(0.836116\pi\) | |||||||
\(62\) | −3.51651 | + | 4.74473i | −0.446597 | + | 0.602581i | ||||
\(63\) | −1.95951 | − | 0.138565i | −0.246875 | − | 0.0174576i | ||||
\(64\) | 6.19409 | + | 5.06293i | 0.774261 | + | 0.632866i | ||||
\(65\) | −2.01592 | + | 3.49168i | −0.250045 | + | 0.433090i | ||||
\(66\) | −9.09525 | + | 11.4073i | −1.11955 | + | 1.40414i | ||||
\(67\) | −11.6330 | − | 3.11705i | −1.42120 | − | 0.380809i | −0.535289 | − | 0.844669i | \(-0.679797\pi\) |
−0.885908 | + | 0.463860i | \(0.846464\pi\) | |||||||
\(68\) | −3.76827 | + | 4.02865i | −0.456970 | + | 0.488546i | ||||
\(69\) | 4.78237 | + | 5.13249i | 0.575730 | + | 0.617880i | ||||
\(70\) | 0.754880 | + | 0.298020i | 0.0902254 | + | 0.0356201i | ||||
\(71\) | 4.34835i | 0.516054i | 0.966138 | + | 0.258027i | \(0.0830723\pi\) | ||||
−0.966138 | + | 0.258027i | \(0.916928\pi\) | |||||||
\(72\) | 8.43364 | − | 0.934684i | 0.993915 | − | 0.110154i | ||||
\(73\) | − | 0.656583i | − | 0.0768472i | −0.999262 | − | 0.0384236i | \(-0.987766\pi\) | ||
0.999262 | − | 0.0384236i | \(-0.0122336\pi\) | |||||||
\(74\) | 3.16214 | − | 8.00966i | 0.367591 | − | 0.931104i | ||||
\(75\) | −2.14580 | + | 7.00876i | −0.247775 | + | 0.809302i | ||||
\(76\) | −0.163790 | − | 4.90455i | −0.0187880 | − | 0.562591i | ||||
\(77\) | 3.76715 | + | 1.00941i | 0.429307 | + | 0.115032i | ||||
\(78\) | 10.4893 | − | 4.11789i | 1.18768 | − | 0.466259i | ||||
\(79\) | −8.16172 | + | 14.1365i | −0.918266 | + | 1.59048i | −0.116217 | + | 0.993224i | \(0.537077\pi\) |
−0.802048 | + | 0.597259i | \(0.796256\pi\) | |||||||
\(80\) | −3.43917 | − | 0.679389i | −0.384511 | − | 0.0759580i | ||||
\(81\) | 5.55206 | − | 7.08340i | 0.616896 | − | 0.787045i | ||||
\(82\) | −8.07908 | − | 5.98774i | −0.892186 | − | 0.661235i | ||||
\(83\) | −1.43847 | − | 5.36845i | −0.157893 | − | 0.589264i | −0.998840 | − | 0.0481470i | \(-0.984668\pi\) |
0.840948 | − | 0.541117i | \(-0.181998\pi\) | |||||||
\(84\) | −1.13038 | − | 1.96657i | −0.123335 | − | 0.214570i | ||||
\(85\) | 0.625638 | − | 2.33491i | 0.0678599 | − | 0.253257i | ||||
\(86\) | −0.766242 | − | 0.964806i | −0.0826260 | − | 0.104038i | ||||
\(87\) | 3.91640 | − | 2.08042i | 0.419882 | − | 0.223044i | ||||
\(88\) | −16.7913 | − | 1.36012i | −1.78996 | − | 0.144990i | ||||
\(89\) | 5.11081i | 0.541744i | 0.962615 | + | 0.270872i | \(0.0873121\pi\) | ||||
−0.962615 | + | 0.270872i | \(0.912688\pi\) | |||||||
\(90\) | −3.06759 | + | 2.10132i | −0.323352 | + | 0.221499i | ||||
\(91\) | −2.13006 | − | 2.13006i | −0.223291 | − | 0.223291i | ||||
\(92\) | −1.83424 | + | 7.89010i | −0.191233 | + | 0.822600i | ||||
\(93\) | −5.29187 | + | 4.93087i | −0.548741 | + | 0.511308i | ||||
\(94\) | 13.0811 | + | 1.50050i | 1.34922 | + | 0.154765i | ||||
\(95\) | 1.07520 | + | 1.86230i | 0.110313 | + | 0.191068i | ||||
\(96\) | 6.33191 | + | 7.47709i | 0.646248 | + | 0.763127i | ||||
\(97\) | 3.05669 | − | 5.29434i | 0.310360 | − | 0.537559i | −0.668080 | − | 0.744089i | \(-0.732884\pi\) |
0.978440 | + | 0.206530i | \(0.0662171\pi\) | |||||||
\(98\) | 5.53346 | − | 7.46613i | 0.558963 | − | 0.754193i | ||||
\(99\) | −13.4945 | + | 11.7120i | −1.35625 | + | 1.17711i | ||||
\(100\) | −8.09775 | + | 2.46225i | −0.809775 | + | 0.246225i | ||||
\(101\) | −12.3415 | + | 3.30688i | −1.22802 | + | 0.329047i | −0.813809 | − | 0.581133i | \(-0.802610\pi\) |
−0.414213 | + | 0.910180i | \(0.635943\pi\) | |||||||
\(102\) | −5.43557 | + | 4.01241i | −0.538201 | + | 0.397288i | ||||
\(103\) | −1.82866 | + | 1.05577i | −0.180183 | + | 0.104029i | −0.587379 | − | 0.809312i | \(-0.699840\pi\) |
0.407196 | + | 0.913341i | \(0.366507\pi\) | |||||||
\(104\) | 10.7066 | + | 7.39454i | 1.04987 | + | 0.725095i | ||||
\(105\) | 0.842733 | + | 0.527057i | 0.0822423 | + | 0.0514355i | ||||
\(106\) | 5.61526 | − | 14.2234i | 0.545402 | − | 1.38150i | ||||
\(107\) | 7.26738 | + | 7.26738i | 0.702564 | + | 0.702564i | 0.964960 | − | 0.262396i | \(-0.0845128\pi\) |
−0.262396 | + | 0.964960i | \(0.584513\pi\) | |||||||
\(108\) | 10.3650 | + | 0.752907i | 0.997372 | + | 0.0724485i | ||||
\(109\) | 5.73169 | − | 5.73169i | 0.548996 | − | 0.548996i | −0.377154 | − | 0.926150i | \(-0.623097\pi\) |
0.926150 | + | 0.377154i | \(0.123097\pi\) | |||||||
\(110\) | 6.77210 | − | 2.93846i | 0.645694 | − | 0.280171i | ||||
\(111\) | 5.59235 | − | 8.94183i | 0.530802 | − | 0.848721i | ||||
\(112\) | 1.15535 | − | 2.35061i | 0.109170 | − | 0.222112i | ||||
\(113\) | 0.907975 | + | 1.57266i | 0.0854151 | + | 0.147943i | 0.905568 | − | 0.424201i | \(-0.139445\pi\) |
−0.820153 | + | 0.572144i | \(0.806112\pi\) | |||||||
\(114\) | 0.895217 | − | 5.94313i | 0.0838448 | − | 0.556625i | ||||
\(115\) | −0.918723 | − | 3.42872i | −0.0856713 | − | 0.319730i | ||||
\(116\) | 4.51766 | + | 2.41092i | 0.419454 | + | 0.223848i | ||||
\(117\) | 13.5498 | − | 2.62279i | 1.25268 | − | 0.242477i | ||||
\(118\) | −9.89618 | + | 1.47129i | −0.911017 | + | 0.135443i | ||||
\(119\) | 1.56408 | + | 0.903023i | 0.143379 | + | 0.0827800i | ||||
\(120\) | −3.99053 | − | 1.58426i | −0.364284 | − | 0.144623i | ||||
\(121\) | 21.1959 | − | 12.2374i | 1.92690 | − | 1.11249i | ||||
\(122\) | −4.33101 | + | 3.43966i | −0.392111 | + | 0.311412i | ||||
\(123\) | −8.39605 | − | 9.01073i | −0.757046 | − | 0.812470i | ||||
\(124\) | −8.13510 | − | 1.89120i | −0.730554 | − | 0.169834i | ||||
\(125\) | 5.72115 | − | 5.72115i | 0.511715 | − | 0.511715i | ||||
\(126\) | −0.923295 | − | 2.62017i | −0.0822537 | − | 0.233423i | ||||
\(127\) | 19.2026 | 1.70395 | 0.851976 | − | 0.523581i | \(-0.175404\pi\) | ||||
0.851976 | + | 0.523581i | \(0.175404\pi\) | |||||||
\(128\) | −3.08155 | + | 10.8860i | −0.272373 | + | 0.962192i | ||||
\(129\) | −0.707893 | − | 1.33261i | −0.0623265 | − | 0.117330i | ||||
\(130\) | −5.66475 | − | 0.649788i | −0.496831 | − | 0.0569902i | ||||
\(131\) | 11.6770 | + | 3.12885i | 1.02023 | + | 0.273369i | 0.729896 | − | 0.683558i | \(-0.239568\pi\) |
0.290330 | + | 0.956927i | \(0.406235\pi\) | |||||||
\(132\) | −19.9192 | − | 5.37824i | −1.73374 | − | 0.468115i | ||||
\(133\) | −1.55190 | + | 0.415831i | −0.134567 | + | 0.0360571i | ||||
\(134\) | −2.50464 | − | 16.8467i | −0.216368 | − | 1.45534i | ||||
\(135\) | −4.16242 | + | 1.84737i | −0.358244 | + | 0.158996i | ||||
\(136\) | −7.34783 | − | 2.62092i | −0.630071 | − | 0.224742i | ||||
\(137\) | 2.88080 | + | 1.66323i | 0.246123 | + | 0.142099i | 0.617988 | − | 0.786188i | \(-0.287948\pi\) |
−0.371865 | + | 0.928287i | \(0.621281\pi\) | |||||||
\(138\) | −3.96650 | + | 9.09362i | −0.337651 | + | 0.774101i | ||||
\(139\) | −2.80104 | + | 10.4536i | −0.237582 | + | 0.886666i | 0.739387 | + | 0.673281i | \(0.235116\pi\) |
−0.976968 | + | 0.213385i | \(0.931551\pi\) | |||||||
\(140\) | 0.0383081 | + | 1.14711i | 0.00323763 | + | 0.0969481i | ||||
\(141\) | 15.4196 | + | 4.72086i | 1.29857 | + | 0.397568i | ||||
\(142\) | −5.64132 | + | 2.44781i | −0.473409 | + | 0.205415i | ||||
\(143\) | −27.4005 | −2.29134 | ||||||||
\(144\) | 5.96015 | + | 10.4152i | 0.496679 | + | 0.867934i | ||||
\(145\) | −2.24392 | −0.186347 | ||||||||
\(146\) | 0.851816 | − | 0.369609i | 0.0704968 | − | 0.0305891i | ||||
\(147\) | 8.32710 | − | 7.75905i | 0.686808 | − | 0.639956i | ||||
\(148\) | 12.1714 | − | 0.406469i | 1.00048 | − | 0.0334115i | ||||
\(149\) | 5.12380 | − | 19.1223i | 0.419758 | − | 1.56656i | −0.355351 | − | 0.934733i | \(-0.615639\pi\) |
0.775110 | − | 0.631827i | \(-0.217695\pi\) | |||||||
\(150\) | −10.3007 | + | 1.16158i | −0.841051 | + | 0.0948430i | ||||
\(151\) | −5.09441 | − | 2.94126i | −0.414577 | − | 0.239356i | 0.278177 | − | 0.960530i | \(-0.410270\pi\) |
−0.692754 | + | 0.721174i | \(0.743603\pi\) | |||||||
\(152\) | 6.27071 | − | 2.97340i | 0.508622 | − | 0.241175i | ||||
\(153\) | −7.43990 | + | 3.62147i | −0.601481 | + | 0.292779i | ||||
\(154\) | 0.811086 | + | 5.45553i | 0.0653592 | + | 0.439619i | ||||
\(155\) | 3.53519 | − | 0.947251i | 0.283953 | − | 0.0760851i | ||||
\(156\) | 11.2471 | + | 11.2903i | 0.900488 | + | 0.903944i | ||||
\(157\) | −18.9997 | − | 5.09096i | −1.51634 | − | 0.406303i | −0.597808 | − | 0.801640i | \(-0.703961\pi\) |
−0.918536 | + | 0.395336i | \(0.870628\pi\) | |||||||
\(158\) | −22.9345 | − | 2.63075i | −1.82457 | − | 0.209291i | ||||
\(159\) | 9.93077 | − | 15.8787i | 0.787561 | − | 1.25926i | ||||
\(160\) | −1.05460 | − | 4.84425i | −0.0833736 | − | 0.382971i | ||||
\(161\) | 2.65210 | 0.209015 | ||||||||
\(162\) | 12.3151 | + | 3.21551i | 0.967562 | + | 0.252634i | ||||
\(163\) | 5.00716 | − | 5.00716i | 0.392191 | − | 0.392191i | −0.483277 | − | 0.875468i | \(-0.660554\pi\) |
0.875468 | + | 0.483277i | \(0.160554\pi\) | |||||||
\(164\) | 3.22023 | − | 13.8521i | 0.251458 | − | 1.08166i | ||||
\(165\) | 8.81030 | − | 2.03038i | 0.685881 | − | 0.158065i | ||||
\(166\) | 6.15499 | − | 4.88825i | 0.477720 | − | 0.379402i | ||||
\(167\) | −14.5023 | + | 8.37292i | −1.12222 | + | 0.647916i | −0.941967 | − | 0.335704i | \(-0.891026\pi\) |
−0.180255 | + | 0.983620i | \(0.557692\pi\) | |||||||
\(168\) | 1.91500 | − | 2.57354i | 0.147746 | − | 0.198553i | ||||
\(169\) | 7.07014 | + | 4.08195i | 0.543857 | + | 0.313996i | ||||
\(170\) | 3.38138 | − | 0.502718i | 0.259340 | − | 0.0385567i | ||||
\(171\) | 2.40194 | − | 6.95802i | 0.183681 | − | 0.532093i | ||||
\(172\) | 0.820350 | − | 1.53720i | 0.0625511 | − | 0.117210i | ||||
\(173\) | 4.36351 | + | 16.2848i | 0.331751 | + | 1.23811i | 0.907349 | + | 0.420379i | \(0.138103\pi\) |
−0.575597 | + | 0.817733i | \(0.695230\pi\) | |||||||
\(174\) | 4.90368 | + | 3.90980i | 0.371747 | + | 0.296401i | ||||
\(175\) | 1.38553 | + | 2.39980i | 0.104736 | + | 0.181408i | ||||
\(176\) | −7.68776 | − | 22.5499i | −0.579487 | − | 1.69976i | ||||
\(177\) | −12.2459 | − | 0.432439i | −0.920456 | − | 0.0325041i | ||||
\(178\) | −6.63049 | + | 2.87702i | −0.496976 | + | 0.215642i | ||||
\(179\) | 6.56566 | − | 6.56566i | 0.490740 | − | 0.490740i | −0.417799 | − | 0.908539i | \(-0.637198\pi\) |
0.908539 | + | 0.417799i | \(0.137198\pi\) | |||||||
\(180\) | −4.45298 | − | 2.79683i | −0.331905 | − | 0.208464i | ||||
\(181\) | 15.4877 | + | 15.4877i | 1.15119 | + | 1.15119i | 0.986315 | + | 0.164875i | \(0.0527219\pi\) |
0.164875 | + | 0.986315i | \(0.447278\pi\) | |||||||
\(182\) | 1.56436 | − | 3.96250i | 0.115958 | − | 0.293720i | ||||
\(183\) | −5.98209 | + | 3.17773i | −0.442209 | + | 0.234904i | ||||
\(184\) | −11.2687 | + | 2.06191i | −0.830743 | + | 0.152006i | ||||
\(185\) | −4.62156 | + | 2.66826i | −0.339784 | + | 0.196174i | ||||
\(186\) | −9.37600 | − | 4.08967i | −0.687482 | − | 0.299869i | ||||
\(187\) | 15.8681 | − | 4.25184i | 1.16039 | − | 0.310925i | ||||
\(188\) | 5.41707 | + | 17.8155i | 0.395080 | + | 1.29933i | ||||
\(189\) | −0.528309 | − | 3.36118i | −0.0384288 | − | 0.244490i | ||||
\(190\) | −1.81079 | + | 2.44324i | −0.131368 | + | 0.177252i | ||||
\(191\) | −1.73038 | + | 2.99710i | −0.125206 | + | 0.216863i | −0.921813 | − | 0.387634i | \(-0.873292\pi\) |
0.796608 | + | 0.604497i | \(0.206626\pi\) | |||||||
\(192\) | −6.13598 | + | 12.4238i | −0.442826 | + | 0.896608i | ||||
\(193\) | 4.93395 | + | 8.54585i | 0.355153 | + | 0.615144i | 0.987144 | − | 0.159832i | \(-0.0510953\pi\) |
−0.631991 | + | 0.774976i | \(0.717762\pi\) | |||||||
\(194\) | 8.58930 | + | 0.985256i | 0.616676 | + | 0.0707372i | ||||
\(195\) | −6.67743 | − | 2.04436i | −0.478181 | − | 0.146399i | ||||
\(196\) | 12.8011 | + | 2.97592i | 0.914365 | + | 0.212566i | ||||
\(197\) | 4.95292 | + | 4.95292i | 0.352881 | + | 0.352881i | 0.861180 | − | 0.508299i | \(-0.169726\pi\) |
−0.508299 | + | 0.861180i | \(0.669726\pi\) | |||||||
\(198\) | −22.7910 | − | 10.9140i | −1.61969 | − | 0.775627i | ||||
\(199\) | 19.3983i | 1.37511i | 0.726132 | + | 0.687556i | \(0.241316\pi\) | ||||
−0.726132 | + | 0.687556i | \(0.758684\pi\) | |||||||
\(200\) | −7.75284 | − | 9.11953i | −0.548209 | − | 0.644848i | ||||
\(201\) | 0.736162 | − | 20.8467i | 0.0519248 | − | 1.47042i | ||||
\(202\) | −11.2375 | − | 14.1496i | −0.790670 | − | 0.995565i | ||||
\(203\) | 0.433916 | − | 1.61940i | 0.0304549 | − | 0.113659i | ||||
\(204\) | −8.26533 | − | 4.79312i | −0.578689 | − | 0.335586i | ||||
\(205\) | 1.61293 | + | 6.01954i | 0.112652 | + | 0.420423i | ||||
\(206\) | −2.39911 | − | 1.77808i | −0.167154 | − | 0.123884i | ||||
\(207\) | −6.80250 | + | 10.0681i | −0.472807 | + | 0.699781i | ||||
\(208\) | −3.56623 | + | 18.0528i | −0.247274 | + | 1.25174i | ||||
\(209\) | −7.30705 | + | 12.6562i | −0.505439 | + | 0.875446i | ||||
\(210\) | −0.209378 | + | 1.39001i | −0.0144485 | + | 0.0959201i | ||||
\(211\) | 1.86522 | + | 0.499784i | 0.128407 | + | 0.0344066i | 0.322450 | − | 0.946586i | \(-0.395494\pi\) |
−0.194043 | + | 0.980993i | \(0.562160\pi\) | |||||||
\(212\) | 21.6137 | − | 0.721798i | 1.48443 | − | 0.0495733i | ||||
\(213\) | −7.33919 | + | 1.69136i | −0.502873 | + | 0.115890i | ||||
\(214\) | −5.33730 | + | 13.5193i | −0.364851 | + | 0.924162i | ||||
\(215\) | 0.763527i | 0.0520721i | ||||||||
\(216\) | 4.85797 | + | 13.8708i | 0.330543 | + | 0.943791i | ||||
\(217\) | 2.73446i | 0.185627i | ||||||||
\(218\) | 10.6625 | + | 4.20947i | 0.722157 | + | 0.285101i | ||||
\(219\) | 1.10819 | − | 0.255388i | 0.0748844 | − | 0.0172575i | ||||
\(220\) | 7.62441 | + | 7.13163i | 0.514038 | + | 0.480814i | ||||
\(221\) | −12.2564 | − | 3.28408i | −0.824452 | − | 0.220911i | ||||
\(222\) | 14.7488 | + | 2.22161i | 0.989872 | + | 0.149105i | ||||
\(223\) | −6.56173 | + | 11.3653i | −0.439406 | + | 0.761074i | −0.997644 | − | 0.0686072i | \(-0.978144\pi\) |
0.558237 | + | 0.829681i | \(0.311478\pi\) | |||||||
\(224\) | 3.69994 | + | 0.175665i | 0.247213 | + | 0.0117371i | ||||
\(225\) | −12.6641 | − | 0.895533i | −0.844273 | − | 0.0597022i | ||||
\(226\) | −1.52916 | + | 2.06325i | −0.101718 | + | 0.137246i | ||||
\(227\) | −1.07800 | − | 4.02317i | −0.0715497 | − | 0.267027i | 0.920879 | − | 0.389848i | \(-0.127473\pi\) |
−0.992429 | + | 0.122821i | \(0.960806\pi\) | |||||||
\(228\) | 8.21425 | − | 2.18415i | 0.544002 | − | 0.144649i | ||||
\(229\) | −7.22892 | + | 26.9787i | −0.477701 | + | 1.78280i | 0.133193 | + | 0.991090i | \(0.457477\pi\) |
−0.610894 | + | 0.791713i | \(0.709190\pi\) | |||||||
\(230\) | 3.93107 | − | 3.12203i | 0.259207 | − | 0.205860i | ||||
\(231\) | −0.238393 | + | 6.75086i | −0.0156851 | + | 0.444174i | ||||
\(232\) | −0.584681 | + | 7.21814i | −0.0383862 | + | 0.473894i | ||||
\(233\) | 6.78106i | 0.444242i | 0.975019 | + | 0.222121i | \(0.0712980\pi\) | ||||
−0.975019 | + | 0.222121i | \(0.928702\pi\) | |||||||
\(234\) | 11.0302 | + | 16.1023i | 0.721068 | + | 1.05264i | ||||
\(235\) | −5.76980 | − | 5.76980i | −0.376380 | − | 0.376380i | ||||
\(236\) | −7.47961 | − | 12.0106i | −0.486881 | − | 0.781820i | ||||
\(237\) | −27.0344 | − | 8.27683i | −1.75607 | − | 0.537638i | ||||
\(238\) | −0.291069 | + | 2.53750i | −0.0188672 | + | 0.164481i | ||||
\(239\) | −4.09048 | − | 7.08492i | −0.264591 | − | 0.458286i | 0.702865 | − | 0.711323i | \(-0.251904\pi\) |
−0.967456 | + | 0.253038i | \(0.918570\pi\) | |||||||
\(240\) | −0.191038 | − | 6.06893i | −0.0123315 | − | 0.391748i | ||||
\(241\) | −0.259428 | + | 0.449343i | −0.0167112 | + | 0.0289447i | −0.874260 | − | 0.485458i | \(-0.838653\pi\) |
0.857549 | + | 0.514403i | \(0.171986\pi\) | |||||||
\(242\) | 27.8080 | + | 20.6096i | 1.78756 | + | 1.32484i | ||||
\(243\) | 14.1150 | + | 6.61563i | 0.905478 | + | 0.424393i | ||||
\(244\) | −6.90048 | − | 3.68255i | −0.441758 | − | 0.235751i | ||||
\(245\) | −5.56285 | + | 1.49056i | −0.355397 | + | 0.0952285i | ||||
\(246\) | 6.96368 | − | 15.9650i | 0.443988 | − | 1.01789i | ||||
\(247\) | 9.77552 | − | 5.64390i | 0.622002 | − | 0.359113i | ||||
\(248\) | −2.12594 | − | 11.6187i | −0.134997 | − | 0.737786i | ||||
\(249\) | 8.50141 | − | 4.51601i | 0.538755 | − | 0.286190i | ||||
\(250\) | 10.6429 | + | 4.20172i | 0.673117 | + | 0.265740i | ||||
\(251\) | −13.9609 | − | 13.9609i | −0.881207 | − | 0.881207i | 0.112450 | − | 0.993657i | \(-0.464130\pi\) |
−0.993657 | + | 0.112450i | \(0.964130\pi\) | |||||||
\(252\) | 2.87952 | − | 2.67280i | 0.181393 | − | 0.168371i | ||||
\(253\) | 17.0580 | − | 17.0580i | 1.07243 | − | 1.07243i | ||||
\(254\) | 10.8097 | + | 24.9124i | 0.678259 | + | 1.56314i | ||||
\(255\) | 4.18424 | + | 0.147758i | 0.262027 | + | 0.00925298i | ||||
\(256\) | −15.8576 | + | 2.13017i | −0.991098 | + | 0.133136i | ||||
\(257\) | −8.72443 | − | 15.1112i | −0.544215 | − | 0.942609i | −0.998656 | − | 0.0518315i | \(-0.983494\pi\) |
0.454441 | − | 0.890777i | \(-0.349839\pi\) | |||||||
\(258\) | 1.33037 | − | 1.66855i | 0.0828252 | − | 0.103879i | ||||
\(259\) | −1.03195 | − | 3.85127i | −0.0641220 | − | 0.239307i | ||||
\(260\) | −2.34585 | − | 7.71494i | −0.145483 | − | 0.478460i | ||||
\(261\) | 5.03469 | + | 5.80093i | 0.311640 | + | 0.359068i | ||||
\(262\) | 2.51412 | + | 16.9105i | 0.155323 | + | 1.04473i | ||||
\(263\) | 9.06417 | + | 5.23320i | 0.558921 | + | 0.322693i | 0.752712 | − | 0.658350i | \(-0.228745\pi\) |
−0.193791 | + | 0.981043i | \(0.562079\pi\) | |||||||
\(264\) | −4.23562 | − | 28.8696i | −0.260684 | − | 1.77680i | ||||
\(265\) | −8.20687 | + | 4.73824i | −0.504144 | + | 0.291068i | ||||
\(266\) | −1.41309 | − | 1.77927i | −0.0866419 | − | 0.109094i | ||||
\(267\) | −8.62607 | + | 1.98793i | −0.527907 | + | 0.121659i | ||||
\(268\) | 20.4461 | − | 12.7329i | 1.24895 | − | 0.777785i | ||||
\(269\) | 14.8881 | − | 14.8881i | 0.907746 | − | 0.907746i | −0.0883440 | − | 0.996090i | \(-0.528157\pi\) |
0.996090 | + | 0.0883440i | \(0.0281575\pi\) | |||||||
\(270\) | −4.73982 | − | 4.36017i | −0.288456 | − | 0.265351i | ||||
\(271\) | −1.64797 | −0.100107 | −0.0500534 | − | 0.998747i | \(-0.515939\pi\) | ||||
−0.0500534 | + | 0.998747i | \(0.515939\pi\) | |||||||
\(272\) | −0.736060 | − | 11.0081i | −0.0446302 | − | 0.667463i | ||||
\(273\) | 2.76662 | − | 4.42366i | 0.167443 | − | 0.267732i | ||||
\(274\) | −0.536105 | + | 4.67368i | −0.0323873 | + | 0.282347i | ||||
\(275\) | 24.3467 | + | 6.52368i | 1.46816 | + | 0.393393i | ||||
\(276\) | −14.0305 | − | 0.0268728i | −0.844534 | − | 0.00161756i | ||||
\(277\) | −11.7104 | + | 3.13780i | −0.703612 | + | 0.188532i | −0.592848 | − | 0.805315i | \(-0.701996\pi\) |
−0.110764 | + | 0.993847i | \(0.535330\pi\) | |||||||
\(278\) | −15.1388 | + | 2.25072i | −0.907965 | + | 0.134989i | ||||
\(279\) | −10.3807 | − | 7.01374i | −0.621479 | − | 0.419901i | ||||
\(280\) | −1.46663 | + | 0.695437i | −0.0876479 | + | 0.0415603i | ||||
\(281\) | −2.28116 | − | 1.31703i | −0.136083 | − | 0.0785674i | 0.430413 | − | 0.902632i | \(-0.358368\pi\) |
−0.566496 | + | 0.824065i | \(0.691701\pi\) | |||||||
\(282\) | 2.55555 | + | 22.6621i | 0.152181 | + | 1.34951i | ||||
\(283\) | 2.78192 | − | 10.3823i | 0.165368 | − | 0.617162i | −0.832625 | − | 0.553837i | \(-0.813163\pi\) |
0.997993 | − | 0.0633245i | \(-0.0201703\pi\) | |||||||
\(284\) | −6.35131 | − | 5.94081i | −0.376881 | − | 0.352522i | ||||
\(285\) | −2.72499 | + | 2.53910i | −0.161414 | + | 0.150403i | ||||
\(286\) | −15.4245 | − | 35.5480i | −0.912070 | − | 2.10200i | ||||
\(287\) | −4.65610 | −0.274841 | ||||||||
\(288\) | −10.1570 | + | 13.5954i | −0.598508 | + | 0.801117i | ||||
\(289\) | −9.39253 | −0.552502 | ||||||||
\(290\) | −1.26317 | − | 2.91114i | −0.0741756 | − | 0.170948i | ||||
\(291\) | 10.1248 | + | 3.09980i | 0.593526 | + | 0.181713i | ||||
\(292\) | 0.959023 | + | 0.897039i | 0.0561226 | + | 0.0524952i | ||||
\(293\) | −1.06098 | + | 3.95963i | −0.0619831 | + | 0.231324i | −0.989968 | − | 0.141295i | \(-0.954873\pi\) |
0.927984 | + | 0.372619i | \(0.121540\pi\) | |||||||
\(294\) | 14.7537 | + | 6.43536i | 0.860456 | + | 0.375318i | ||||
\(295\) | 5.36954 | + | 3.10010i | 0.312627 | + | 0.180495i | ||||
\(296\) | 7.37894 | + | 15.5617i | 0.428892 | + | 0.904505i | ||||
\(297\) | −25.0166 | − | 18.2206i | −1.45161 | − | 1.05727i | ||||
\(298\) | 27.6926 | − | 4.11712i | 1.60419 | − | 0.238499i | ||||
\(299\) | −17.9980 | + | 4.82254i | −1.04085 | + | 0.278895i | ||||
\(300\) | −7.30555 | − | 12.7097i | −0.421786 | − | 0.733797i | ||||
\(301\) | −0.551024 | − | 0.147646i | −0.0317605 | − | 0.00851020i | ||||
\(302\) | 0.948049 | − | 8.26493i | 0.0545541 | − | 0.475594i | ||||
\(303\) | −10.3818 | − | 19.5438i | −0.596419 | − | 1.12276i | ||||
\(304\) | 7.38750 | + | 6.46148i | 0.423702 | + | 0.370591i | ||||
\(305\) | 3.42747 | 0.196256 | ||||||||
\(306\) | −8.88644 | − | 7.61352i | −0.508004 | − | 0.435236i | ||||
\(307\) | 5.40346 | − | 5.40346i | 0.308392 | − | 0.308392i | −0.535894 | − | 0.844286i | \(-0.680025\pi\) |
0.844286 | + | 0.535894i | \(0.180025\pi\) | |||||||
\(308\) | −6.62114 | + | 4.12333i | −0.377274 | + | 0.234949i | ||||
\(309\) | −2.49323 | − | 2.67576i | −0.141835 | − | 0.152219i | ||||
\(310\) | 3.21897 | + | 4.05314i | 0.182825 | + | 0.230203i | ||||
\(311\) | 13.4939 | − | 7.79068i | 0.765167 | − | 0.441769i | −0.0659811 | − | 0.997821i | \(-0.521018\pi\) |
0.831148 | + | 0.556052i | \(0.187684\pi\) | |||||||
\(312\) | −8.31608 | + | 20.9470i | −0.470806 | + | 1.18589i | ||||
\(313\) | −25.4594 | − | 14.6990i | −1.43905 | − | 0.830835i | −0.441265 | − | 0.897377i | \(-0.645470\pi\) |
−0.997784 | + | 0.0665417i | \(0.978803\pi\) | |||||||
\(314\) | −4.09074 | − | 27.5151i | −0.230854 | − | 1.55277i | ||||
\(315\) | −0.561779 | + | 1.62738i | −0.0316527 | + | 0.0916926i | ||||
\(316\) | −9.49745 | − | 31.2349i | −0.534273 | − | 1.75710i | ||||
\(317\) | −1.41378 | − | 5.27629i | −0.0794057 | − | 0.296346i | 0.914790 | − | 0.403929i | \(-0.132356\pi\) |
−0.994196 | + | 0.107583i | \(0.965689\pi\) | |||||||
\(318\) | 26.1905 | + | 3.94509i | 1.46869 | + | 0.221230i | ||||
\(319\) | −7.62485 | − | 13.2066i | −0.426909 | − | 0.739429i | ||||
\(320\) | 5.69101 | − | 4.09515i | 0.318137 | − | 0.228926i | ||||
\(321\) | −9.43920 | + | 15.0927i | −0.526845 | + | 0.842393i | ||||
\(322\) | 1.49294 | + | 3.44070i | 0.0831986 | + | 0.191743i | ||||
\(323\) | −4.78538 | + | 4.78538i | −0.266266 | + | 0.266266i | ||||
\(324\) | 2.76086 | + | 17.7870i | 0.153381 | + | 0.988167i | ||||
\(325\) | −13.7664 | − | 13.7664i | −0.763620 | − | 0.763620i | ||||
\(326\) | 9.31469 | + | 3.67735i | 0.515893 | + | 0.203670i | ||||
\(327\) | 11.9034 | + | 7.44458i | 0.658261 | + | 0.411686i | ||||
\(328\) | 19.7837 | − | 3.61995i | 1.09237 | − | 0.199878i | ||||
\(329\) | 5.27969 | − | 3.04823i | 0.291079 | − | 0.168054i | ||||
\(330\) | 7.59368 | + | 10.2871i | 0.418018 | + | 0.566284i | ||||
\(331\) | 24.9481 | − | 6.68483i | 1.37127 | − | 0.367432i | 0.503330 | − | 0.864094i | \(-0.332108\pi\) |
0.867944 | + | 0.496663i | \(0.165441\pi\) | |||||||
\(332\) | 9.80658 | + | 5.23343i | 0.538206 | + | 0.287222i | ||||
\(333\) | 17.2674 | + | 5.96076i | 0.946245 | + | 0.326648i | ||||
\(334\) | −19.0263 | − | 14.1012i | −1.04108 | − | 0.771583i | ||||
\(335\) | −5.27746 | + | 9.14082i | −0.288338 | + | 0.499416i | ||||
\(336\) | 4.41678 | + | 1.03571i | 0.240955 | + | 0.0565024i | ||||
\(337\) | −1.97680 | − | 3.42392i | −0.107683 | − | 0.186513i | 0.807148 | − | 0.590349i | \(-0.201010\pi\) |
−0.914831 | + | 0.403836i | \(0.867677\pi\) | |||||||
\(338\) | −1.31573 | + | 11.4703i | −0.0715660 | + | 0.623901i | ||||
\(339\) | −2.30118 | + | 2.14420i | −0.124983 | + | 0.116457i | ||||
\(340\) | 2.55567 | + | 4.10383i | 0.138601 | + | 0.222562i | ||||
\(341\) | 17.5877 | + | 17.5877i | 0.952425 | + | 0.952425i | ||||
\(342\) | 10.3791 | − | 0.800716i | 0.561237 | − | 0.0432977i | ||||
\(343\) | − | 8.88645i | − | 0.479823i | ||||||
\(344\) | 2.45608 | + | 0.198946i | 0.132423 | + | 0.0107265i | ||||
\(345\) | 5.42968 | − | 2.88428i | 0.292324 | − | 0.155285i | ||||
\(346\) | −18.6707 | + | 14.8282i | −1.00375 | + | 0.797167i | ||||
\(347\) | −1.22201 | + | 4.56059i | −0.0656008 | + | 0.244825i | −0.990938 | − | 0.134320i | \(-0.957115\pi\) |
0.925337 | + | 0.379145i | \(0.123782\pi\) | |||||||
\(348\) | −2.31196 | + | 8.56271i | −0.123934 | + | 0.459010i | ||||
\(349\) | 2.07543 | + | 7.74559i | 0.111095 | + | 0.414612i | 0.998965 | − | 0.0454819i | \(-0.0144823\pi\) |
−0.887870 | + | 0.460094i | \(0.847816\pi\) | |||||||
\(350\) | −2.33343 | + | 3.14843i | −0.124727 | + | 0.168291i | ||||
\(351\) | 9.69716 | + | 21.8493i | 0.517596 | + | 1.16623i | ||||
\(352\) | 24.9274 | − | 22.6677i | 1.32863 | − | 1.20819i | ||||
\(353\) | 6.95793 | − | 12.0515i | 0.370333 | − | 0.641436i | −0.619283 | − | 0.785168i | \(-0.712577\pi\) |
0.989617 | + | 0.143731i | \(0.0459101\pi\) | |||||||
\(354\) | −6.33252 | − | 16.1306i | −0.336570 | − | 0.857331i | ||||
\(355\) | 3.68107 | + | 0.986340i | 0.195371 | + | 0.0523495i | ||||
\(356\) | −7.46498 | − | 6.98250i | −0.395643 | − | 0.370072i | ||||
\(357\) | −0.915759 | + | 2.99112i | −0.0484671 | + | 0.158307i | ||||
\(358\) | 12.2139 | + | 4.82195i | 0.645526 | + | 0.254848i | ||||
\(359\) | 0.491573i | 0.0259443i | 0.999916 | + | 0.0129721i | \(0.00412927\pi\) | ||||
−0.999916 | + | 0.0129721i | \(0.995871\pi\) | |||||||
\(360\) | 1.12176 | − | 7.35148i | 0.0591220 | − | 0.387457i | ||||
\(361\) | 12.9796i | 0.683138i | ||||||||
\(362\) | −11.3744 | + | 28.8113i | −0.597828 | + | 1.51429i | ||||
\(363\) | 28.8989 | + | 31.0147i | 1.51680 | + | 1.62785i | ||||
\(364\) | 6.02136 | − | 0.201086i | 0.315605 | − | 0.0105398i | ||||
\(365\) | −0.555827 | − | 0.148933i | −0.0290933 | − | 0.00779553i | ||||
\(366\) | −7.49010 | − | 5.97202i | −0.391514 | − | 0.312162i | ||||
\(367\) | 3.97080 | − | 6.87763i | 0.207274 | − | 0.359010i | −0.743581 | − | 0.668646i | \(-0.766874\pi\) |
0.950855 | + | 0.309637i | \(0.100207\pi\) | |||||||
\(368\) | −9.01852 | − | 13.4588i | −0.470123 | − | 0.701587i | ||||
\(369\) | 11.9426 | − | 17.6758i | 0.621709 | − | 0.920166i | ||||
\(370\) | −6.06327 | − | 4.49374i | −0.315214 | − | 0.233618i | ||||
\(371\) | −1.83251 | − | 6.83901i | −0.0951390 | − | 0.355064i | ||||
\(372\) | 0.0277073 | − | 14.4661i | 0.00143656 | − | 0.750034i | ||||
\(373\) | −5.86527 | + | 21.8895i | −0.303692 | + | 1.13340i | 0.630373 | + | 0.776293i | \(0.282902\pi\) |
−0.934065 | + | 0.357103i | \(0.883765\pi\) | |||||||
\(374\) | 14.4487 | + | 18.1929i | 0.747125 | + | 0.940734i | ||||
\(375\) | 11.8815 | + | 7.43088i | 0.613560 | + | 0.383729i | ||||
\(376\) | −20.0634 | + | 17.0566i | −1.03469 | + | 0.879629i | ||||
\(377\) | 11.7787i | 0.606635i | ||||||||
\(378\) | 4.06321 | − | 2.57750i | 0.208989 | − | 0.132572i | ||||
\(379\) | −24.5680 | − | 24.5680i | −1.26197 | − | 1.26197i | −0.950135 | − | 0.311839i | \(-0.899055\pi\) |
−0.311839 | − | 0.950135i | \(-0.600945\pi\) | |||||||
\(380\) | −4.18908 | − | 0.973850i | −0.214895 | − | 0.0499575i | ||||
\(381\) | 7.46914 | + | 32.4103i | 0.382655 | + | 1.66043i | ||||
\(382\) | −4.86236 | − | 0.557749i | −0.248780 | − | 0.0285369i | ||||
\(383\) | 3.67713 | + | 6.36897i | 0.187892 | + | 0.325439i | 0.944547 | − | 0.328375i | \(-0.106501\pi\) |
−0.756655 | + | 0.653814i | \(0.773168\pi\) | |||||||
\(384\) | −19.5721 | − | 0.966811i | −0.998782 | − | 0.0493374i | ||||
\(385\) | 1.70901 | − | 2.96010i | 0.0870995 | − | 0.150861i | ||||
\(386\) | −8.30948 | + | 11.2117i | −0.422941 | + | 0.570663i | ||||
\(387\) | 1.97385 | − | 1.71313i | 0.100337 | − | 0.0870833i | ||||
\(388\) | 3.55694 | + | 11.6979i | 0.180576 | + | 0.593873i | ||||
\(389\) | 18.6007 | − | 4.98406i | 0.943095 | − | 0.252702i | 0.245665 | − | 0.969355i | \(-0.420994\pi\) |
0.697430 | + | 0.716653i | \(0.254327\pi\) | |||||||
\(390\) | −1.10667 | − | 9.81377i | −0.0560385 | − | 0.496940i | ||||
\(391\) | 9.67459 | − | 5.58563i | 0.489265 | − | 0.282477i | ||||
\(392\) | 3.34530 | + | 18.2827i | 0.168963 | + | 0.923417i | ||||
\(393\) | −0.738947 | + | 20.9256i | −0.0372750 | + | 1.05556i | ||||
\(394\) | −3.63752 | + | 9.21380i | −0.183256 | + | 0.464185i | ||||
\(395\) | 10.1159 | + | 10.1159i | 0.508985 | + | 0.508985i | ||||
\(396\) | 1.32958 | − | 35.7117i | 0.0668139 | − | 1.79458i | ||||
\(397\) | −23.3235 | + | 23.3235i | −1.17057 | + | 1.17057i | −0.188500 | + | 0.982073i | \(0.560362\pi\) |
−0.982073 | + | 0.188500i | \(0.939638\pi\) | |||||||
\(398\) | −25.1664 | + | 10.9199i | −1.26148 | + | 0.547364i | ||||
\(399\) | −1.30548 | − | 2.45757i | −0.0653558 | − | 0.123033i | ||||
\(400\) | 7.46691 | − | 15.1918i | 0.373346 | − | 0.759589i | ||||
\(401\) | −4.61036 | − | 7.98538i | −0.230231 | − | 0.398771i | 0.727645 | − | 0.685954i | \(-0.240615\pi\) |
−0.957876 | + | 0.287183i | \(0.907281\pi\) | |||||||
\(402\) | 27.4599 | − | 10.7802i | 1.36957 | − | 0.537665i | ||||
\(403\) | −4.97229 | − | 18.5568i | −0.247687 | − | 0.924382i | ||||
\(404\) | 12.0311 | − | 22.5442i | 0.598568 | − | 1.12162i | ||||
\(405\) | −4.73704 | − | 6.30681i | −0.235386 | − | 0.313388i | ||||
\(406\) | 2.34519 | − | 0.348664i | 0.116390 | − | 0.0173039i | ||||
\(407\) | −31.4082 | − | 18.1335i | −1.55685 | − | 0.898845i | ||||
\(408\) | 1.56556 | − | 13.4212i | 0.0775067 | − | 0.664448i | ||||
\(409\) | 17.2773 | − | 9.97503i | 0.854306 | − | 0.493234i | −0.00779552 | − | 0.999970i | \(-0.502481\pi\) |
0.862101 | + | 0.506736i | \(0.169148\pi\) | |||||||
\(410\) | −6.90148 | + | 5.48111i | −0.340840 | + | 0.270693i | ||||
\(411\) | −1.68669 | + | 5.50919i | −0.0831982 | + | 0.271748i | ||||
\(412\) | 0.956259 | − | 4.11341i | 0.0471115 | − | 0.202653i | ||||
\(413\) | −3.27562 | + | 3.27562i | −0.161183 | + | 0.161183i | ||||
\(414\) | −16.8912 | − | 3.15760i | −0.830155 | − | 0.155187i | ||||
\(415\) | −4.87092 | −0.239104 | ||||||||
\(416\) | −25.4283 | + | 5.53580i | −1.24673 | + | 0.271415i | ||||
\(417\) | −18.7333 | − | 0.661529i | −0.917373 | − | 0.0323952i | ||||
\(418\) | −20.5328 | − | 2.35526i | −1.00429 | − | 0.115200i | ||||
\(419\) | −29.3307 | − | 7.85913i | −1.43290 | − | 0.383943i | −0.542856 | − | 0.839826i | \(-0.682657\pi\) |
−0.890040 | + | 0.455882i | \(0.849324\pi\) | |||||||
\(420\) | −1.92120 | + | 0.510841i | −0.0937448 | + | 0.0249265i | ||||
\(421\) | 10.0922 | − | 2.70420i | 0.491864 | − | 0.131795i | −0.00435733 | − | 0.999991i | \(-0.501387\pi\) |
0.496222 | + | 0.868196i | \(0.334720\pi\) | |||||||
\(422\) | 0.401591 | + | 2.70118i | 0.0195491 | + | 0.131491i | ||||
\(423\) | −1.97022 | + | 27.8617i | −0.0957952 | + | 1.35468i | ||||
\(424\) | 13.1034 | + | 27.6341i | 0.636356 | + | 1.34203i | ||||
\(425\) | 10.1085 | + | 5.83615i | 0.490335 | + | 0.283095i | ||||
\(426\) | −6.32571 | − | 8.56937i | −0.306482 | − | 0.415187i | ||||
\(427\) | −0.662784 | + | 2.47354i | −0.0320744 | + | 0.119703i | ||||
\(428\) | −20.5438 | + | 0.686069i | −0.993022 | + | 0.0331624i | ||||
\(429\) | −10.6578 | − | 46.2468i | −0.514565 | − | 2.23282i | ||||
\(430\) | −0.990560 | + | 0.429811i | −0.0477690 | + | 0.0207273i | ||||
\(431\) | 11.3639 | 0.547382 | 0.273691 | − | 0.961818i | \(-0.411756\pi\) | ||||
0.273691 | + | 0.961818i | \(0.411756\pi\) | |||||||
\(432\) | −15.2606 | + | 14.1108i | −0.734227 | + | 0.678904i | ||||
\(433\) | −9.65126 | −0.463810 | −0.231905 | − | 0.972738i | \(-0.574496\pi\) | ||||
−0.231905 | + | 0.972738i | \(0.574496\pi\) | |||||||
\(434\) | −3.54754 | + | 1.53930i | −0.170288 | + | 0.0738890i | ||||
\(435\) | −0.872807 | − | 3.78731i | −0.0418479 | − | 0.181588i | ||||
\(436\) | 0.541094 | + | 16.2026i | 0.0259137 | + | 0.775965i | ||||
\(437\) | −2.57211 | + | 9.59925i | −0.123041 | + | 0.459194i | ||||
\(438\) | 0.955157 | + | 1.29394i | 0.0456392 | + | 0.0618268i | ||||
\(439\) | 13.6132 | + | 7.85957i | 0.649722 | + | 0.375117i | 0.788350 | − | 0.615228i | \(-0.210936\pi\) |
−0.138628 | + | 0.990345i | \(0.544269\pi\) | |||||||
\(440\) | −4.96021 | + | 13.9061i | −0.236469 | + | 0.662948i | ||||
\(441\) | 16.3348 | + | 11.0366i | 0.777846 | + | 0.525551i | ||||
\(442\) | −2.63886 | − | 17.7495i | −0.125518 | − | 0.844256i | ||||
\(443\) | 18.5526 | − | 4.97116i | 0.881461 | − | 0.236187i | 0.210424 | − | 0.977610i | \(-0.432516\pi\) |
0.671037 | + | 0.741424i | \(0.265849\pi\) | |||||||
\(444\) | 5.42029 | + | 20.3849i | 0.257235 | + | 0.967424i | ||||
\(445\) | 4.32653 | + | 1.15929i | 0.205097 | + | 0.0549556i | ||||
\(446\) | −18.4385 | − | 2.11503i | −0.873087 | − | 0.100150i | ||||
\(447\) | 34.2678 | + | 1.21010i | 1.62081 | + | 0.0572358i | ||||
\(448\) | 1.85490 | + | 4.89900i | 0.0876360 | + | 0.231456i | ||||
\(449\) | 35.3101 | 1.66639 | 0.833194 | − | 0.552982i | \(-0.186510\pi\) | ||||
0.833194 | + | 0.552982i | \(0.186510\pi\) | |||||||
\(450\) | −5.96716 | − | 16.9339i | −0.281295 | − | 0.798270i | ||||
\(451\) | −29.9474 | + | 29.9474i | −1.41017 | + | 1.41017i | ||||
\(452\) | −3.53756 | − | 0.822390i | −0.166393 | − | 0.0386820i | ||||
\(453\) | 2.98274 | − | 9.74244i | 0.140141 | − | 0.457740i | ||||
\(454\) | 4.61261 | − | 3.66330i | 0.216481 | − | 0.171927i | ||||
\(455\) | −2.28636 | + | 1.32003i | −0.107186 | + | 0.0618839i | ||||
\(456\) | 7.45764 | + | 9.42723i | 0.349236 | + | 0.441470i | ||||
\(457\) | −0.565406 | − | 0.326437i | −0.0264486 | − | 0.0152701i | 0.486717 | − | 0.873559i | \(-0.338194\pi\) |
−0.513166 | + | 0.858289i | \(0.671527\pi\) | |||||||
\(458\) | −39.0701 | + | 5.80865i | −1.82563 | + | 0.271420i | ||||
\(459\) | −9.00622 | − | 11.1485i | −0.420374 | − | 0.520369i | ||||
\(460\) | 6.26326 | + | 3.34249i | 0.292026 | + | 0.155844i | ||||
\(461\) | 1.04853 | + | 3.91317i | 0.0488350 | + | 0.182255i | 0.986035 | − | 0.166537i | \(-0.0532586\pi\) |
−0.937200 | + | 0.348792i | \(0.886592\pi\) | |||||||
\(462\) | −8.89242 | + | 3.49097i | −0.413713 | + | 0.162415i | ||||
\(463\) | −21.0971 | − | 36.5413i | −0.980466 | − | 1.69822i | −0.660571 | − | 0.750763i | \(-0.729686\pi\) |
−0.319894 | − | 0.947453i | \(-0.603647\pi\) | |||||||
\(464\) | −9.69358 | + | 3.30476i | −0.450013 | + | 0.153420i | ||||
\(465\) | 2.97385 | + | 5.59828i | 0.137909 | + | 0.259614i | ||||
\(466\) | −8.79739 | + | 3.81725i | −0.407531 | + | 0.176831i | ||||
\(467\) | −0.180878 | + | 0.180878i | −0.00837005 | + | 0.00837005i | −0.711279 | − | 0.702909i | \(-0.751884\pi\) |
0.702909 | + | 0.711279i | \(0.251884\pi\) | |||||||
\(468\) | −14.6811 | + | 23.3745i | −0.678633 | + | 1.08049i | ||||
\(469\) | −5.57625 | − | 5.57625i | −0.257487 | − | 0.257487i | ||||
\(470\) | 4.23745 | − | 10.7334i | 0.195459 | − | 0.495095i | ||||
\(471\) | 1.20234 | − | 34.0482i | 0.0554011 | − | 1.56886i | ||||
\(472\) | 11.3714 | − | 16.4647i | 0.523410 | − | 0.757851i | ||||
\(473\) | −4.49375 | + | 2.59447i | −0.206623 | + | 0.119294i | ||||
\(474\) | −4.48050 | − | 39.7323i | −0.205796 | − | 1.82496i | ||||
\(475\) | −10.0298 | + | 2.68747i | −0.460198 | + | 0.123310i | ||||
\(476\) | −3.45587 | + | 1.05081i | −0.158399 | + | 0.0481638i | ||||
\(477\) | 30.6630 | + | 10.5850i | 1.40396 | + | 0.484654i | ||||
\(478\) | 6.88896 | − | 9.29508i | 0.315094 | − | 0.425147i | ||||
\(479\) | 6.98122 | − | 12.0918i | 0.318980 | − | 0.552490i | −0.661295 | − | 0.750126i | \(-0.729993\pi\) |
0.980276 | + | 0.197636i | \(0.0633264\pi\) | |||||||
\(480\) | 7.76597 | − | 3.66421i | 0.354466 | − | 0.167248i | ||||
\(481\) | 14.0062 | + | 24.2594i | 0.638627 | + | 1.10613i | ||||
\(482\) | −0.728994 | − | 0.0836209i | −0.0332048 | − | 0.00380883i | ||||
\(483\) | 1.03158 | + | 4.47625i | 0.0469384 | + | 0.203677i | ||||
\(484\) | −11.0839 | + | 47.6783i | −0.503816 | + | 2.16720i | ||||
\(485\) | −3.78855 | − | 3.78855i | −0.172029 | − | 0.172029i | ||||
\(486\) | −0.637038 | + | 22.0362i | −0.0288966 | + | 0.999582i | ||||
\(487\) | 2.93338i | 0.132924i | 0.997789 | + | 0.0664621i | \(0.0211712\pi\) | ||||
−0.997789 | + | 0.0664621i | \(0.978829\pi\) | |||||||
\(488\) | 0.893069 | − | 11.0253i | 0.0404274 | − | 0.499093i | ||||
\(489\) | 10.3987 | + | 6.50352i | 0.470247 | + | 0.294099i | ||||
\(490\) | −5.06526 | − | 6.37787i | −0.228825 | − | 0.288123i | ||||
\(491\) | −4.76452 | + | 17.7814i | −0.215020 | + | 0.802465i | 0.771140 | + | 0.636666i | \(0.219687\pi\) |
−0.986160 | + | 0.165799i | \(0.946980\pi\) | |||||||
\(492\) | 24.6322 | + | 0.0471786i | 1.11051 | + | 0.00212698i | ||||
\(493\) | −1.82775 | − | 6.82126i | −0.0823178 | − | 0.307214i | ||||
\(494\) | 12.8250 | + | 9.50515i | 0.577025 | + | 0.427657i | ||||
\(495\) | 6.85380 | + | 14.0804i | 0.308056 | + | 0.632866i | ||||
\(496\) | 13.8767 | − | 9.29856i | 0.623082 | − | 0.417518i | ||||
\(497\) | −1.42365 | + | 2.46583i | −0.0638594 | + | 0.110608i | ||||
\(498\) | 10.6445 | + | 8.48710i | 0.476992 | + | 0.380316i | ||||
\(499\) | 17.6919 | + | 4.74054i | 0.791999 | + | 0.212216i | 0.632068 | − | 0.774913i | \(-0.282206\pi\) |
0.159931 | + | 0.987128i | \(0.448873\pi\) | |||||||
\(500\) | 0.540099 | + | 16.1728i | 0.0241540 | + | 0.723271i | ||||
\(501\) | −19.7728 | − | 21.2204i | −0.883383 | − | 0.948057i | ||||
\(502\) | 10.2532 | − | 25.9712i | 0.457623 | − | 1.15915i | ||||
\(503\) | − | 7.01136i | − | 0.312621i | −0.987708 | − | 0.156311i | \(-0.950040\pi\) | ||
0.987708 | − | 0.156311i | \(-0.0499601\pi\) | |||||||
\(504\) | 5.08851 | + | 2.23114i | 0.226660 | + | 0.0993830i | ||||
\(505\) | 11.1977i | 0.498292i | ||||||||
\(506\) | 31.7325 | + | 12.5277i | 1.41068 | + | 0.556924i | ||||
\(507\) | −4.13952 | + | 13.5208i | −0.183842 | + | 0.600480i | ||||
\(508\) | −26.2350 | + | 28.0478i | −1.16399 | + | 1.24442i | ||||
\(509\) | −4.66745 | − | 1.25064i | −0.206881 | − | 0.0554336i | 0.153890 | − | 0.988088i | \(-0.450820\pi\) |
−0.360771 | + | 0.932654i | \(0.617486\pi\) | |||||||
\(510\) | 2.16373 | + | 5.51159i | 0.0958117 | + | 0.244057i | ||||
\(511\) | 0.214965 | − | 0.372331i | 0.00950950 | − | 0.0164709i | ||||
\(512\) | −11.6902 | − | 19.3736i | −0.516641 | − | 0.856202i | ||||
\(513\) | 12.6781 | + | 1.34759i | 0.559751 | + | 0.0594975i | ||||
\(514\) | 14.6932 | − | 19.8251i | 0.648090 | − | 0.874449i | ||||
\(515\) | 0.478965 | + | 1.78752i | 0.0211057 | + | 0.0787676i | ||||
\(516\) | 2.91359 | + | 0.786678i | 0.128264 | + | 0.0346316i | ||||
\(517\) | 14.3524 | − | 53.5640i | 0.631219 | − | 2.35574i | ||||
\(518\) | 4.41553 | − | 3.50678i | 0.194007 | − | 0.154079i | ||||
\(519\) | −25.7885 | + | 13.6990i | −1.13199 | + | 0.601320i | ||||
\(520\) | 8.68841 | − | 7.38633i | 0.381012 | − | 0.323912i | ||||
\(521\) | − | 28.0687i | − | 1.22971i | −0.788640 | − | 0.614855i | \(-0.789215\pi\) | ||
0.788640 | − | 0.614855i | \(-0.210785\pi\) | |||||||
\(522\) | −4.69165 | + | 9.79726i | −0.205348 | + | 0.428814i | ||||
\(523\) | 14.5264 | + | 14.5264i | 0.635193 | + | 0.635193i | 0.949366 | − | 0.314173i | \(-0.101727\pi\) |
−0.314173 | + | 0.949366i | \(0.601727\pi\) | |||||||
\(524\) | −20.5235 | + | 12.7811i | −0.896574 | + | 0.558344i | ||||
\(525\) | −3.51149 | + | 3.27195i | −0.153254 | + | 0.142800i | ||||
\(526\) | −1.68681 | + | 14.7053i | −0.0735482 | + | 0.641182i | ||||
\(527\) | 5.75907 | + | 9.97501i | 0.250869 | + | 0.434518i | ||||
\(528\) | 35.0696 | − | 21.7466i | 1.52621 | − | 0.946400i | ||||
\(529\) | −3.29774 | + | 5.71185i | −0.143380 | + | 0.248341i | ||||
\(530\) | −10.7670 | − | 7.97988i | −0.467689 | − | 0.346624i | ||||
\(531\) | −4.03335 | − | 20.8369i | −0.175032 | − | 0.904246i | ||||
\(532\) | 1.51287 | − | 2.83487i | 0.0655913 | − | 0.122907i | ||||
\(533\) | 31.5977 | − | 8.46657i | 1.36865 | − | 0.366728i | ||||
\(534\) | −7.43489 | − | 10.0720i | −0.321739 | − | 0.435856i | ||||
\(535\) | 7.80063 | − | 4.50370i | 0.337251 | − | 0.194712i | ||||
\(536\) | 28.0287 | + | 19.3581i | 1.21066 | + | 0.836141i | ||||
\(537\) | 13.6354 | + | 8.52777i | 0.588411 | + | 0.368001i | ||||
\(538\) | 27.6961 | + | 10.9341i | 1.19406 | + | 0.471404i | ||||
\(539\) | −27.6753 | − | 27.6753i | −1.19206 | − | 1.19206i | ||||
\(540\) | 2.98847 | − | 8.60366i | 0.128603 | − | 0.370242i | ||||
\(541\) | 18.4081 | − | 18.4081i | 0.791427 | − | 0.791427i | −0.190299 | − | 0.981726i | \(-0.560946\pi\) |
0.981726 | + | 0.190299i | \(0.0609458\pi\) | |||||||
\(542\) | −0.927687 | − | 2.13799i | −0.0398476 | − | 0.0918343i | ||||
\(543\) | −20.1161 | + | 32.1644i | −0.863264 | + | 1.38031i | ||||
\(544\) | 13.8670 | − | 7.15168i | 0.594541 | − | 0.306626i | ||||
\(545\) | −3.55201 | − | 6.15226i | −0.152151 | − | 0.263534i | ||||
\(546\) | 7.29643 | + | 1.09907i | 0.312258 | + | 0.0470356i | ||||
\(547\) | 4.27602 | + | 15.9583i | 0.182829 | + | 0.682328i | 0.995085 | + | 0.0990263i | \(0.0315728\pi\) |
−0.812256 | + | 0.583302i | \(0.801761\pi\) | |||||||
\(548\) | −6.36518 | + | 1.93543i | −0.271907 | + | 0.0826775i | ||||
\(549\) | −7.69023 | − | 8.86061i | −0.328211 | − | 0.378162i | ||||
\(550\) | 5.24197 | + | 35.2585i | 0.223518 | + | 1.50343i | ||||
\(551\) | 5.44055 | + | 3.14110i | 0.231775 | + | 0.133816i | ||||
\(552\) | −7.86327 | − | 18.2175i | −0.334683 | − | 0.775388i | ||||
\(553\) | −9.25660 | + | 5.34430i | −0.393631 | + | 0.227263i | ||||
\(554\) | −10.6630 | − | 13.4262i | −0.453026 | − | 0.570423i | ||||
\(555\) | −6.30115 | − | 6.76246i | −0.267469 | − | 0.287051i | ||||
\(556\) | −11.4420 | − | 18.3733i | −0.485250 | − | 0.779201i | ||||
\(557\) | −15.4219 | + | 15.4219i | −0.653447 | + | 0.653447i | −0.953821 | − | 0.300375i | \(-0.902888\pi\) |
0.300375 | + | 0.953821i | \(0.402888\pi\) | |||||||
\(558\) | 3.25565 | − | 17.4157i | 0.137823 | − | 0.737264i | ||||
\(559\) | 4.00789 | 0.169516 | ||||||||
\(560\) | −1.72783 | − | 1.51125i | −0.0730142 | − | 0.0638619i | ||||
\(561\) | 13.3484 | + | 25.1285i | 0.563571 | + | 1.06093i | ||||
\(562\) | 0.424515 | − | 3.70086i | 0.0179071 | − | 0.156111i | ||||
\(563\) | −6.23868 | − | 1.67165i | −0.262929 | − | 0.0704516i | 0.124946 | − | 0.992164i | \(-0.460124\pi\) |
−0.387875 | + | 0.921712i | \(0.626791\pi\) | |||||||
\(564\) | −27.9621 | + | 16.0726i | −1.17742 | + | 0.676778i | ||||
\(565\) | 1.53728 | − | 0.411914i | 0.0646740 | − | 0.0173293i | ||||
\(566\) | 15.0354 | − | 2.23535i | 0.631986 | − | 0.0939589i | ||||
\(567\) | 5.46754 | − | 2.19907i | 0.229615 | − | 0.0923521i | ||||
\(568\) | 4.13197 | − | 11.5841i | 0.173374 | − | 0.486059i | ||||
\(569\) | −7.90864 | − | 4.56605i | −0.331547 | − | 0.191419i | 0.324981 | − | 0.945721i | \(-0.394642\pi\) |
−0.656528 | + | 0.754302i | \(0.727976\pi\) | |||||||
\(570\) | −4.82807 | − | 2.10593i | −0.202225 | − | 0.0882077i | ||||
\(571\) | −7.39016 | + | 27.5804i | −0.309268 | + | 1.15421i | 0.619940 | + | 0.784649i | \(0.287157\pi\) |
−0.929208 | + | 0.369556i | \(0.879510\pi\) | |||||||
\(572\) | 37.4352 | − | 40.0219i | 1.56524 | − | 1.67340i | ||||
\(573\) | −5.73160 | − | 1.75478i | −0.239441 | − | 0.0733071i | ||||
\(574\) | −2.62105 | − | 6.04058i | −0.109401 | − | 0.252129i | ||||
\(575\) | 17.1403 | 0.714799 | ||||||||
\(576\) | −23.3556 | − | 5.52395i | −0.973152 | − | 0.230165i | ||||
\(577\) | 0.350515 | 0.0145921 | 0.00729607 | − | 0.999973i | \(-0.497678\pi\) | ||||
0.00729607 | + | 0.999973i | \(0.497678\pi\) | |||||||
\(578\) | −5.28732 | − | 12.1854i | −0.219924 | − | 0.506845i | ||||
\(579\) | −12.5046 | + | 11.6516i | −0.519675 | + | 0.484224i | ||||
\(580\) | 3.06569 | − | 3.27753i | 0.127296 | − | 0.136092i | ||||
\(581\) | 0.941911 | − | 3.51526i | 0.0390771 | − | 0.145838i | ||||
\(582\) | 1.67802 | + | 14.8803i | 0.0695560 | + | 0.616810i | ||||
\(583\) | −55.7739 | − | 32.2011i | −2.30992 | − | 1.33363i | ||||
\(584\) | −0.623910 | + | 1.74915i | −0.0258176 | + | 0.0723805i | ||||
\(585\) | 0.853197 | − | 12.0654i | 0.0352754 | − | 0.498844i | ||||
\(586\) | −5.73427 | + | 0.852527i | −0.236881 | + | 0.0352176i | ||||
\(587\) | −0.970122 | + | 0.259943i | −0.0400412 | + | 0.0107290i | −0.278784 | − | 0.960354i | \(-0.589931\pi\) |
0.238743 | + | 0.971083i | \(0.423265\pi\) | |||||||
\(588\) | −0.0435992 | + | 22.7634i | −0.00179800 | + | 0.938746i | ||||
\(589\) | −9.89733 | − | 2.65198i | −0.407812 | − | 0.109273i | ||||
\(590\) | −0.999249 | + | 8.71130i | −0.0411384 | + | 0.358638i | ||||
\(591\) | −6.43308 | + | 10.2861i | −0.264621 | + | 0.423114i | ||||
\(592\) | −16.0351 | + | 18.3332i | −0.659040 | + | 0.753489i | ||||
\(593\) | 7.12791 | 0.292708 | 0.146354 | − | 0.989232i | \(-0.453246\pi\) | ||||
0.146354 | + | 0.989232i | \(0.453246\pi\) | |||||||
\(594\) | 9.55590 | − | 42.7122i | 0.392083 | − | 1.75250i | ||||
\(595\) | 1.11923 | − | 1.11923i | 0.0458841 | − | 0.0458841i | ||||
\(596\) | 20.9303 | + | 33.6093i | 0.857338 | + | 1.37669i | ||||
\(597\) | −32.7407 | + | 7.54528i | −1.33999 | + | 0.308808i | ||||
\(598\) | −16.3881 | − | 20.6349i | −0.670158 | − | 0.843823i | ||||
\(599\) | 1.83973 | − | 1.06217i | 0.0751695 | − | 0.0433991i | −0.461944 | − | 0.886909i | \(-0.652848\pi\) |
0.537114 | + | 0.843510i | \(0.319515\pi\) | |||||||
\(600\) | 12.3765 | − | 16.6325i | 0.505267 | − | 0.679020i | ||||
\(601\) | −32.6223 | − | 18.8345i | −1.33069 | − | 0.768275i | −0.345286 | − | 0.938497i | \(-0.612218\pi\) |
−0.985406 | + | 0.170222i | \(0.945551\pi\) | |||||||
\(602\) | −0.118638 | − | 0.797984i | −0.00483533 | − | 0.0325234i | ||||
\(603\) | 35.4717 | − | 6.86616i | 1.44452 | − | 0.279612i | ||||
\(604\) | 11.2562 | − | 3.42262i | 0.458007 | − | 0.139264i | ||||
\(605\) | −5.55166 | − | 20.7191i | −0.225707 | − | 0.842351i | ||||
\(606\) | 19.5109 | − | 24.4706i | 0.792576 | − | 0.994048i | ||||
\(607\) | 10.2096 | + | 17.6835i | 0.414393 | + | 0.717750i | 0.995365 | − | 0.0961740i | \(-0.0306605\pi\) |
−0.580971 | + | 0.813924i | \(0.697327\pi\) | |||||||
\(608\) | −4.22416 | + | 13.2215i | −0.171312 | + | 0.536203i | ||||
\(609\) | 2.90201 | + | 0.102479i | 0.117596 | + | 0.00415266i | ||||
\(610\) | 1.92942 | + | 4.44662i | 0.0781198 | + | 0.180038i | ||||
\(611\) | −30.2867 | + | 30.2867i | −1.22527 | + | 1.22527i | ||||
\(612\) | 4.87495 | − | 15.8147i | 0.197058 | − | 0.639270i | ||||
\(613\) | −10.2801 | − | 10.2801i | −0.415208 | − | 0.415208i | 0.468340 | − | 0.883548i | \(-0.344852\pi\) |
−0.883548 | + | 0.468340i | \(0.844852\pi\) | |||||||
\(614\) | 10.0519 | + | 3.96841i | 0.405663 | + | 0.160152i | ||||
\(615\) | −9.53248 | + | 5.06372i | −0.384387 | + | 0.204189i | ||||
\(616\) | −9.07662 | − | 6.26878i | −0.365708 | − | 0.252576i | ||||
\(617\) | 41.2817 | − | 23.8340i | 1.66194 | − | 0.959521i | 0.690152 | − | 0.723665i | \(-0.257544\pi\) |
0.971788 | − | 0.235856i | \(-0.0757895\pi\) | |||||||
\(618\) | 2.06789 | − | 4.74085i | 0.0831826 | − | 0.190705i | ||||
\(619\) | 5.27305 | − | 1.41291i | 0.211942 | − | 0.0567896i | −0.151286 | − | 0.988490i | \(-0.548341\pi\) |
0.363228 | + | 0.931700i | \(0.381675\pi\) | |||||||
\(620\) | −3.44628 | + | 6.45775i | −0.138406 | + | 0.259350i | ||||
\(621\) | −19.6390 | − | 7.56520i | −0.788085 | − | 0.303581i | ||||
\(622\) | 17.7033 | + | 13.1206i | 0.709838 | + | 0.526090i | ||||
\(623\) | −1.67328 | + | 2.89820i | −0.0670385 | + | 0.116114i | ||||
\(624\) | −31.8569 | + | 1.00280i | −1.27530 | + | 0.0401439i | ||||
\(625\) | 7.03430 | + | 12.1838i | 0.281372 | + | 0.487350i | ||||
\(626\) | 4.73789 | − | 41.3041i | 0.189364 | − | 1.65085i | ||||
\(627\) | −24.2034 | − | 7.41010i | −0.966592 | − | 0.295931i | ||||
\(628\) | 33.3939 | − | 20.7961i | 1.33256 | − | 0.829857i | ||||
\(629\) | −11.8756 | − | 11.8756i | −0.473513 | − | 0.473513i | ||||
\(630\) | −2.42752 | + | 0.187276i | −0.0967148 | + | 0.00746125i | ||||
\(631\) | 20.7362i | 0.825496i | 0.910845 | + | 0.412748i | \(0.135431\pi\) | ||||
−0.910845 | + | 0.412748i | \(0.864569\pi\) | |||||||
\(632\) | 35.1761 | − | 29.9045i | 1.39923 | − | 1.18954i | ||||
\(633\) | −0.118035 | + | 3.34254i | −0.00469148 | + | 0.132854i | ||||
\(634\) | 6.04933 | − | 4.80434i | 0.240250 | − | 0.190805i | ||||
\(635\) | 4.35574 | − | 16.2558i | 0.172852 | − | 0.645094i | ||||
\(636\) | 9.62522 | + | 36.1990i | 0.381665 | + | 1.43538i | ||||
\(637\) | 7.82422 | + | 29.2004i | 0.310007 | + | 1.15696i | ||||
\(638\) | 12.8413 | − | 17.3265i | 0.508394 | − | 0.685961i | ||||
\(639\) | −5.70938 | − | 11.7293i | −0.225860 | − | 0.464003i | ||||
\(640\) | 8.51647 | + | 5.07794i | 0.336643 | + | 0.200723i | ||||
\(641\) | 3.67059 | − | 6.35766i | 0.144980 | − | 0.251112i | −0.784386 | − | 0.620273i | \(-0.787022\pi\) |
0.929365 | + | 0.369161i | \(0.120355\pi\) | |||||||
\(642\) | −24.8941 | − | 3.74981i | −0.982492 | − | 0.147993i | ||||
\(643\) | 8.33019 | + | 2.23207i | 0.328511 | + | 0.0880241i | 0.419305 | − | 0.907846i | \(-0.362274\pi\) |
−0.0907942 | + | 0.995870i | \(0.528941\pi\) | |||||||
\(644\) | −3.62337 | + | 3.87374i | −0.142781 | + | 0.152647i | ||||
\(645\) | −1.28869 | + | 0.296986i | −0.0507421 | + | 0.0116938i | ||||
\(646\) | −8.90213 | − | 3.51448i | −0.350250 | − | 0.138275i | ||||
\(647\) | − | 11.6387i | − | 0.457566i | −0.973477 | − | 0.228783i | \(-0.926525\pi\) | ||
0.973477 | − | 0.228783i | \(-0.0734746\pi\) | |||||||
\(648\) | −21.5218 | + | 13.5946i | −0.845455 | + | 0.534047i | ||||
\(649\) | 42.1367i | 1.65401i | ||||||||
\(650\) | 10.1103 | − | 25.6092i | 0.396558 | − | 1.00448i | ||||
\(651\) | −4.61525 | + | 1.06361i | −0.180886 | + | 0.0416862i | ||||
\(652\) | 0.472695 | + | 14.1545i | 0.0185122 | + | 0.554332i | ||||
\(653\) | 19.4279 | + | 5.20569i | 0.760273 | + | 0.203715i | 0.618070 | − | 0.786123i | \(-0.287915\pi\) |
0.142203 | + | 0.989838i | \(0.454581\pi\) | |||||||
\(654\) | −2.95743 | + | 19.6337i | −0.115645 | + | 0.767737i | ||||
\(655\) | 5.29742 | − | 9.17541i | 0.206988 | − | 0.358513i | ||||
\(656\) | 15.8331 | + | 23.6286i | 0.618180 | + | 0.922540i | ||||
\(657\) | 0.862093 | + | 1.77107i | 0.0336335 | + | 0.0690962i | ||||
\(658\) | 6.92670 | + | 5.13366i | 0.270031 | + | 0.200131i | ||||
\(659\) | 3.89836 | + | 14.5489i | 0.151859 | + | 0.566744i | 0.999354 | + | 0.0359413i | \(0.0114429\pi\) |
−0.847495 | + | 0.530803i | \(0.821890\pi\) | |||||||
\(660\) | −9.07121 | + | 15.6425i | −0.353096 | + | 0.608884i | ||||
\(661\) | 2.63519 | − | 9.83468i | 0.102497 | − | 0.382525i | −0.895552 | − | 0.444957i | \(-0.853219\pi\) |
0.998049 | + | 0.0624321i | \(0.0198857\pi\) | |||||||
\(662\) | 22.7166 | + | 28.6033i | 0.882904 | + | 1.11170i | ||||
\(663\) | 0.775609 | − | 21.9638i | 0.0301222 | − | 0.853004i | ||||
\(664\) | −1.26918 | + | 15.6686i | −0.0492538 | + | 0.608059i | ||||
\(665\) | 1.40808i | 0.0546030i | ||||||||
\(666\) | 1.98709 | + | 25.7572i | 0.0769983 | + | 0.998073i | ||||
\(667\) | −7.33276 | − | 7.33276i | −0.283926 | − | 0.283926i | ||||
\(668\) | 7.58369 | − | 32.6218i | 0.293422 | − | 1.26217i | ||||
\(669\) | −21.7347 | − | 6.65428i | −0.840312 | − | 0.257269i | ||||
\(670\) | −14.8297 | − | 1.70107i | −0.572919 | − | 0.0657181i | ||||
\(671\) | 11.6465 | + | 20.1724i | 0.449610 | + | 0.778747i | ||||
\(672\) | 1.14266 | + | 6.31313i | 0.0440791 | + | 0.243534i | ||||
\(673\) | 16.1240 | − | 27.9276i | 0.621534 | − | 1.07653i | −0.367666 | − | 0.929958i | \(-0.619843\pi\) |
0.989200 | − | 0.146571i | \(-0.0468236\pi\) | |||||||
\(674\) | 3.32922 | − | 4.49202i | 0.128237 | − | 0.173026i | ||||
\(675\) | −3.41441 | − | 21.7229i | −0.131421 | − | 0.836116i | ||||
\(676\) | −15.6216 | + | 4.74999i | −0.600831 | + | 0.182692i | ||||
\(677\) | −35.2239 | + | 9.43821i | −1.35376 | + | 0.362740i | −0.861523 | − | 0.507719i | \(-0.830489\pi\) |
−0.492241 | + | 0.870459i | \(0.663822\pi\) | |||||||
\(678\) | −4.07717 | − | 1.77840i | −0.156583 | − | 0.0682990i | ||||
\(679\) | 3.46674 | − | 2.00152i | 0.133041 | − | 0.0768113i | ||||
\(680\) | −3.88544 | + | 5.62576i | −0.149000 | + | 0.215738i | ||||
\(681\) | 6.37104 | − | 3.38434i | 0.244139 | − | 0.129688i | ||||
\(682\) | −12.9167 | + | 32.7179i | −0.494607 | + | 1.25283i | ||||
\(683\) | −1.95185 | − | 1.95185i | −0.0746855 | − | 0.0746855i | 0.668777 | − | 0.743463i | \(-0.266818\pi\) |
−0.743463 | + | 0.668777i | \(0.766818\pi\) | |||||||
\(684\) | 6.88149 | + | 13.0145i | 0.263120 | + | 0.497624i | ||||
\(685\) | 2.06146 | − | 2.06146i | 0.0787642 | − | 0.0787642i | ||||
\(686\) | 11.5288 | − | 5.00243i | 0.440172 | − | 0.190994i | ||||
\(687\) | −48.3467 | − | 1.70727i | −1.84454 | − | 0.0651364i | ||||
\(688\) | 1.12449 | + | 3.29838i | 0.0428710 | + | 0.125750i | ||||
\(689\) | 24.8719 | + | 43.0793i | 0.947542 | + | 1.64119i | ||||
\(690\) | 6.79844 | + | 5.42054i | 0.258812 | + | 0.206356i | ||||
\(691\) | −0.403069 | − | 1.50428i | −0.0153335 | − | 0.0572253i | 0.957835 | − | 0.287318i | \(-0.0927637\pi\) |
−0.973169 | + | 0.230093i | \(0.926097\pi\) | |||||||
\(692\) | −29.7476 | − | 15.8753i | −1.13083 | − | 0.603487i | ||||
\(693\) | −11.4869 | + | 2.22349i | −0.436352 | + | 0.0844634i | ||||
\(694\) | −6.60458 | + | 0.981917i | −0.250706 | + | 0.0372731i | ||||
\(695\) | 8.21412 | + | 4.74242i | 0.311579 | + | 0.179890i | ||||
\(696\) | −12.4103 | + | 1.82078i | −0.470411 | + | 0.0690164i | ||||
\(697\) | −16.9849 | + | 9.80626i | −0.643351 | + | 0.371439i | ||||
\(698\) | −8.88042 | + | 7.05276i | −0.336129 | + | 0.266951i | ||||
\(699\) | −11.4451 | + | 2.63760i | −0.432895 | + | 0.0997631i | ||||
\(700\) | −5.39816 | − | 1.25493i | −0.204031 | − | 0.0474319i | ||||
\(701\) | −21.5819 | + | 21.5819i | −0.815136 | + | 0.815136i | −0.985399 | − | 0.170263i | \(-0.945538\pi\) |
0.170263 | + | 0.985399i | \(0.445538\pi\) | |||||||
\(702\) | −22.8873 | + | 24.8802i | −0.863825 | + | 0.939041i | ||||
\(703\) | 14.9404 | 0.563489 | ||||||||
\(704\) | 43.4402 | + | 19.5792i | 1.63721 | + | 0.737919i | ||||
\(705\) | 7.49407 | − | 11.9826i | 0.282243 | − | 0.451290i | ||||
\(706\) | 19.5518 | + | 2.24273i | 0.735841 | + | 0.0844064i | ||||
\(707\) | −8.08119 | − | 2.16535i | −0.303925 | − | 0.0814363i | ||||
\(708\) | 17.3622 | − | 17.2959i | 0.652513 | − | 0.650018i | ||||
\(709\) | 20.5925 | − | 5.51773i | 0.773366 | − | 0.207223i | 0.149508 | − | 0.988760i | \(-0.452231\pi\) |
0.623858 | + | 0.781538i | \(0.285564\pi\) | |||||||
\(710\) | 0.792553 | + | 5.33087i | 0.0297440 | + | 0.200064i | ||||
\(711\) | 3.45428 | − | 48.8484i | 0.129545 | − | 1.83196i | ||||
\(712\) | 4.85649 | − | 13.6153i | 0.182005 | − | 0.510256i | ||||
\(713\) | 14.6479 | + | 8.45696i | 0.548568 | + | 0.316716i | ||||
\(714\) | −4.39603 | + | 0.495728i | −0.164517 | + | 0.0185522i | ||||
\(715\) | −6.21528 | + | 23.1958i | −0.232438 | + | 0.867472i | ||||
\(716\) | 0.619824 | + | 18.5601i | 0.0231639 | + | 0.693625i | ||||
\(717\) | 10.3670 | − | 9.65975i | 0.387161 | − | 0.360750i | ||||
\(718\) | −0.637742 | + | 0.276721i | −0.0238003 | + | 0.0103271i | ||||
\(719\) | 28.4354 | 1.06046 | 0.530230 | − | 0.847854i | \(-0.322106\pi\) | ||||
0.530230 | + | 0.847854i | \(0.322106\pi\) | |||||||
\(720\) | 10.1689 | − | 2.68304i | 0.378972 | − | 0.0999910i | ||||
\(721\) | −1.38264 | −0.0514923 | ||||||||
\(722\) | −16.8391 | + | 7.30660i | −0.626686 | + | 0.271923i | ||||
\(723\) | −0.859315 | − | 0.263087i | −0.0319583 | − | 0.00978431i | ||||
\(724\) | −43.7813 | + | 1.46210i | −1.62712 | + | 0.0543384i | ||||
\(725\) | 2.80436 | − | 10.4660i | 0.104151 | − | 0.388697i | ||||
\(726\) | −23.9688 | + | 54.9510i | −0.889565 | + | 2.03942i | ||||
\(727\) | −23.2100 | − | 13.4003i | −0.860812 | − | 0.496990i | 0.00347239 | − | 0.999994i | \(-0.498895\pi\) |
−0.864284 | + | 0.503004i | \(0.832228\pi\) | |||||||
\(728\) | 3.65047 | + | 7.69860i | 0.135296 | + | 0.285329i | ||||
\(729\) | −5.67568 | + | 26.3967i | −0.210210 | + | 0.977656i | ||||
\(730\) | −0.119672 | − | 0.804940i | −0.00442927 | − | 0.0297922i | ||||
\(731\) | −2.32104 | + | 0.621920i | −0.0858466 | + | 0.0230025i | ||||
\(732\) | 3.53139 | − | 13.0791i | 0.130524 | − | 0.483417i | ||||
\(733\) | 24.0699 | + | 6.44950i | 0.889041 | + | 0.238218i | 0.674304 | − | 0.738454i | \(-0.264444\pi\) |
0.214737 | + | 0.976672i | \(0.431110\pi\) | |||||||
\(734\) | 11.1580 | + | 1.27990i | 0.411848 | + | 0.0472420i | ||||
\(735\) | −4.67954 | − | 8.80926i | −0.172607 | − | 0.324935i | ||||
\(736\) | 12.3839 | − | 19.2765i | 0.456478 | − | 0.710540i | ||||
\(737\) | −71.7313 | −2.64226 | ||||||||
\(738\) | 29.6545 | + | 5.54355i | 1.09160 | + | 0.204061i | ||||
\(739\) | −9.91976 | + | 9.91976i | −0.364904 | + | 0.364904i | −0.865615 | − | 0.500711i | \(-0.833072\pi\) |
0.500711 | + | 0.865615i | \(0.333072\pi\) | |||||||
\(740\) | 2.41675 | − | 10.3958i | 0.0888416 | − | 0.382158i | ||||
\(741\) | 13.3282 | + | 14.3040i | 0.489623 | + | 0.525469i | ||||
\(742\) | 7.84100 | − | 6.22727i | 0.287852 | − | 0.228610i | ||||
\(743\) | 15.1283 | − | 8.73432i | 0.555003 | − | 0.320431i | −0.196134 | − | 0.980577i | \(-0.562839\pi\) |
0.751137 | + | 0.660146i | \(0.229506\pi\) | |||||||
\(744\) | 18.7832 | − | 8.10745i | 0.688626 | − | 0.297233i | ||||
\(745\) | −15.0257 | − | 8.67507i | −0.550497 | − | 0.317830i | ||||
\(746\) | −31.7000 | + | 4.71292i | −1.16062 | + | 0.172552i | ||||
\(747\) | 10.9289 | + | 12.5922i | 0.399868 | + | 0.460725i | ||||
\(748\) | −15.4690 | + | 28.9863i | −0.565602 | + | 1.05984i | ||||
\(749\) | 1.74180 | + | 6.50048i | 0.0636439 | + | 0.237522i | ||||
\(750\) | −2.95199 | + | 19.5975i | −0.107791 | + | 0.715601i | ||||
\(751\) | −1.95134 | − | 3.37983i | −0.0712056 | − | 0.123332i | 0.828224 | − | 0.560397i | \(-0.189351\pi\) |
−0.899430 | + | 0.437065i | \(0.856018\pi\) | |||||||
\(752\) | −33.4227 | − | 16.4276i | −1.21880 | − | 0.599052i | ||||
\(753\) | 18.1331 | − | 28.9938i | 0.660807 | − | 1.05659i | ||||
\(754\) | −15.2811 | + | 6.63058i | −0.556505 | + | 0.241471i | ||||
\(755\) | −3.64548 | + | 3.64548i | −0.132673 | + | 0.132673i | ||||
\(756\) | 5.63121 | + | 3.82046i | 0.204805 | + | 0.138949i | ||||
\(757\) | 16.8568 | + | 16.8568i | 0.612670 | + | 0.612670i | 0.943641 | − | 0.330971i | \(-0.107376\pi\) |
−0.330971 | + | 0.943641i | \(0.607376\pi\) | |||||||
\(758\) | 18.0432 | − | 45.7033i | 0.655360 | − | 1.66002i | ||||
\(759\) | 35.4256 | + | 22.1557i | 1.28587 | + | 0.804200i | ||||
\(760\) | −1.09473 | − | 5.98290i | −0.0397100 | − | 0.217023i | ||||
\(761\) | −34.1207 | + | 19.6996i | −1.23688 | + | 0.714111i | −0.968454 | − | 0.249191i | \(-0.919835\pi\) |
−0.268422 | + | 0.963302i | \(0.586502\pi\) | |||||||
\(762\) | −37.8429 | + | 27.9347i | −1.37090 | + | 1.01197i | ||||
\(763\) | 5.12685 | − | 1.37373i | 0.185604 | − | 0.0497325i | ||||
\(764\) | −2.01357 | − | 6.62215i | −0.0728483 | − | 0.239581i | ||||
\(765\) | 1.37814 | + | 7.11968i | 0.0498266 | + | 0.257413i | ||||
\(766\) | −6.19281 | + | 8.35579i | −0.223755 | + | 0.301907i | ||||
\(767\) | 16.2730 | − | 28.1857i | 0.587584 | − | 1.01773i | ||||
\(768\) | −9.76337 | − | 25.9360i | −0.352305 | − | 0.935885i | ||||
\(769\) | 10.1180 | + | 17.5249i | 0.364866 | + | 0.631966i | 0.988755 | − | 0.149547i | \(-0.0477816\pi\) |
−0.623889 | + | 0.781513i | \(0.714448\pi\) | |||||||
\(770\) | 4.80233 | + | 0.550863i | 0.173064 | + | 0.0198517i | ||||
\(771\) | 22.1113 | − | 20.6029i | 0.796318 | − | 0.741996i | ||||
\(772\) | −19.2232 | − | 4.46888i | −0.691857 | − | 0.160838i | ||||
\(773\) | −2.34590 | − | 2.34590i | −0.0843761 | − | 0.0843761i | 0.663659 | − | 0.748035i | \(-0.269003\pi\) |
−0.748035 | + | 0.663659i | \(0.769003\pi\) | |||||||
\(774\) | 3.33366 | + | 1.59640i | 0.119826 | + | 0.0573815i | ||||
\(775\) | 17.6725i | 0.634816i | ||||||||
\(776\) | −13.1740 | + | 11.1997i | −0.472919 | + | 0.402045i | ||||
\(777\) | 6.09883 | − | 3.23974i | 0.218794 | − | 0.116225i | ||||
\(778\) | 16.9369 | + | 21.3260i | 0.607219 | + | 0.764573i | ||||
\(779\) | 4.51566 | − | 16.8527i | 0.161790 | − | 0.603810i | ||||
\(780\) | 12.1089 | − | 6.96019i | 0.433568 | − | 0.249215i | ||||
\(781\) | 6.70318 | + | 25.0166i | 0.239859 | + | 0.895164i | ||||
\(782\) | 12.6926 | + | 9.40700i | 0.453886 | + | 0.336394i | ||||
\(783\) | −7.83255 | + | 10.7540i | −0.279912 | + | 0.384316i | ||||
\(784\) | −21.8359 | + | 14.6319i | −0.779853 | + | 0.522567i | ||||
\(785\) | −8.61946 | + | 14.9293i | −0.307642 | + | 0.532851i | ||||
\(786\) | −27.5638 | + | 10.8210i | −0.983168 | + | 0.385971i | ||||
\(787\) | 29.8696 | + | 8.00353i | 1.06474 | + | 0.285295i | 0.748328 | − | 0.663328i | \(-0.230857\pi\) |
0.316407 | + | 0.948623i | \(0.397523\pi\) | |||||||
\(788\) | −14.0012 | + | 0.467575i | −0.498771 | + | 0.0166567i | ||||
\(789\) | −5.30701 | + | 17.3341i | −0.188934 | + | 0.617112i | ||||
\(790\) | −7.42930 | + | 18.8183i | −0.264323 | + | 0.669526i | ||||
\(791\) | 1.18908i | 0.0422790i | ||||||||
\(792\) | 47.0790 | − | 18.3782i | 1.67288 | − | 0.653041i | ||||
\(793\) | − | 17.9914i | − | 0.638893i | ||||||
\(794\) | −43.3882 | − | 17.1292i | −1.53979 | − | 0.607894i | ||||
\(795\) | −11.1894 | − | 12.0086i | −0.396848 | − | 0.425902i | ||||
\(796\) | −28.3337 | − | 26.5025i | −1.00426 | − | 0.939355i | ||||
\(797\) | −20.8814 | − | 5.59514i | −0.739655 | − | 0.198190i | −0.130730 | − | 0.991418i | \(-0.541732\pi\) |
−0.608925 | + | 0.793228i | \(0.708399\pi\) | |||||||
\(798\) | 2.45344 | − | 3.07710i | 0.0868507 | − | 0.108928i | ||||
\(799\) | 12.8398 | − | 22.2392i | 0.454240 | − | 0.786767i | ||||
\(800\) | 23.9124 | + | 1.13530i | 0.845429 | + | 0.0401390i | ||||
\(801\) | −6.71049 | − | 13.7859i | −0.237103 | − | 0.487102i | ||||
\(802\) | 7.76452 | − | 10.4764i | 0.274175 | − | 0.369936i | ||||
\(803\) | −1.01215 | − | 3.77741i | −0.0357181 | − | 0.133302i | ||||
\(804\) | 29.4436 | + | 29.5566i | 1.03839 | + | 1.04238i | ||||
\(805\) | 0.601580 | − | 2.24513i | 0.0212029 | − | 0.0791303i | ||||
\(806\) | 21.2756 | − | 16.8970i | 0.749402 | − | 0.595170i | ||||
\(807\) | 30.9193 | + | 19.3374i | 1.08841 | + | 0.680709i | ||||
\(808\) | 36.0203 | + | 2.91770i | 1.26719 | + | 0.102644i | ||||
\(809\) | − | 16.4138i | − | 0.577078i | −0.957468 | − | 0.288539i | \(-0.906831\pi\) | ||
0.957468 | − | 0.288539i | \(-0.0931695\pi\) | |||||||
\(810\) | 5.51551 | − | 9.69587i | 0.193795 | − | 0.340678i | ||||
\(811\) | 2.03580 | + | 2.03580i | 0.0714865 | + | 0.0714865i | 0.741946 | − | 0.670460i | \(-0.233903\pi\) |
−0.670460 | + | 0.741946i | \(0.733903\pi\) | |||||||
\(812\) | 1.77251 | + | 2.84625i | 0.0622029 | + | 0.0998837i | ||||
\(813\) | −0.641002 | − | 2.78146i | −0.0224809 | − | 0.0975499i | ||||
\(814\) | 5.84494 | − | 50.9552i | 0.204865 | − | 1.78598i | ||||
\(815\) | −3.10301 | − | 5.37456i | −0.108694 | − | 0.188263i | ||||
\(816\) | 18.2932 | − | 5.52409i | 0.640392 | − | 0.193382i | ||||
\(817\) | 1.06881 | − | 1.85123i | 0.0373928 | − | 0.0647663i | ||||
\(818\) | 22.6670 | + | 16.7994i | 0.792531 | + | 0.587377i | ||||
\(819\) | 8.54242 | + | 2.94888i | 0.298496 | + | 0.103042i | ||||
\(820\) | −10.9959 | − | 5.86815i | −0.383995 | − | 0.204925i | ||||
\(821\) | −10.9213 | + | 2.92634i | −0.381155 | + | 0.102130i | −0.444309 | − | 0.895874i | \(-0.646551\pi\) |
0.0631541 | + | 0.998004i | \(0.479884\pi\) | |||||||
\(822\) | −8.09682 | + | 0.913055i | −0.282409 | + | 0.0318465i | ||||
\(823\) | 9.22371 | − | 5.32531i | 0.321518 | − | 0.185629i | −0.330551 | − | 0.943788i | \(-0.607234\pi\) |
0.652069 | + | 0.758159i | \(0.273901\pi\) | |||||||
\(824\) | 5.87483 | − | 1.07495i | 0.204659 | − | 0.0374478i | ||||
\(825\) | −1.54071 | + | 43.6302i | −0.0536407 | + | 1.51901i | ||||
\(826\) | −6.09356 | − | 2.40568i | −0.212022 | − | 0.0837044i | ||||
\(827\) | 25.0775 | + | 25.0775i | 0.872029 | + | 0.872029i | 0.992693 | − | 0.120665i | \(-0.0385026\pi\) |
−0.120665 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(828\) | −5.41200 | − | 23.6912i | −0.188080 | − | 0.823326i | ||||
\(829\) | 21.3779 | − | 21.3779i | 0.742484 | − | 0.742484i | −0.230571 | − | 0.973055i | \(-0.574059\pi\) |
0.973055 | + | 0.230571i | \(0.0740594\pi\) | |||||||
\(830\) | −2.74198 | − | 6.31928i | −0.0951756 | − | 0.219346i | ||||
\(831\) | −9.85097 | − | 18.5445i | −0.341726 | − | 0.643302i | ||||
\(832\) | −21.4962 | − | 29.8731i | −0.745246 | − | 1.03566i | ||||
\(833\) | −9.06227 | − | 15.6963i | −0.313989 | − | 0.543845i | ||||
\(834\) | −9.68726 | − | 24.6760i | −0.335442 | − | 0.854459i | ||||
\(835\) | 3.79848 | + | 14.1761i | 0.131452 | + | 0.490584i | ||||
\(836\) | −8.50290 | − | 27.9641i | −0.294079 | − | 0.967157i | ||||
\(837\) | 7.80011 | − | 20.2488i | 0.269611 | − | 0.699902i | ||||
\(838\) | −6.31503 | − | 42.4762i | −0.218149 | − | 1.46732i | ||||
\(839\) | 26.6311 | + | 15.3755i | 0.919407 | + | 0.530820i | 0.883446 | − | 0.468533i | \(-0.155217\pi\) |
0.0359612 | + | 0.999353i | \(0.488551\pi\) | |||||||
\(840\) | −1.74423 | − | 2.20489i | −0.0601818 | − | 0.0760761i | ||||
\(841\) | 19.4376 | − | 11.2223i | 0.670261 | − | 0.386975i | ||||
\(842\) | 9.18948 | + | 11.5708i | 0.316690 | + | 0.398758i | ||||
\(843\) | 1.33560 | − | 4.36245i | 0.0460006 | − | 0.150251i | ||||
\(844\) | −3.27831 | + | 2.04157i | −0.112844 | + | 0.0702739i | ||||
\(845\) | 5.05928 | − | 5.05928i | 0.174045 | − | 0.174045i | ||||
\(846\) | −37.2554 | + | 13.1281i | −1.28087 | + | 0.451352i | ||||
\(847\) | 16.0262 | 0.550665 | ||||||||
\(848\) | −28.4748 | + | 32.5556i | −0.977829 | + | 1.11797i | ||||
\(849\) | 18.6054 | + | 0.657012i | 0.638535 | + | 0.0225486i | ||||
\(850\) | −1.88115 | + | 16.3996i | −0.0645230 | + | 0.562501i | ||||
\(851\) | −23.8220 | − | 6.38307i | −0.816606 | − | 0.218809i | ||||
\(852\) | 7.55653 | − | 13.0306i | 0.258882 | − | 0.446421i | ||||
\(853\) | 38.7416 | − | 10.3808i | 1.32649 | − | 0.355431i | 0.475082 | − | 0.879942i | \(-0.342418\pi\) |
0.851404 | + | 0.524511i | \(0.175752\pi\) | |||||||
\(854\) | −3.58215 | + | 0.532566i | −0.122579 | + | 0.0182240i | ||||
\(855\) | −5.34544 | − | 3.61165i | −0.182810 | − | 0.123516i | ||||
\(856\) | −12.4548 | − | 26.2662i | −0.425695 | − | 0.897762i | ||||
\(857\) | −47.6428 | − | 27.5066i | −1.62745 | − | 0.939606i | −0.984851 | − | 0.173400i | \(-0.944525\pi\) |
−0.642594 | − | 0.766206i | \(-0.722142\pi\) | |||||||
\(858\) | 53.9986 | − | 39.8606i | 1.84348 | − | 1.36082i | ||||
\(859\) | −8.20655 | + | 30.6273i | −0.280004 | + | 1.04499i | 0.672409 | + | 0.740179i | \(0.265259\pi\) |
−0.952413 | + | 0.304809i | \(0.901407\pi\) | |||||||
\(860\) | −1.11523 | − | 1.04315i | −0.0380290 | − | 0.0355711i | ||||
\(861\) | −1.81106 | − | 7.85862i | −0.0617208 | − | 0.267821i | ||||
\(862\) | 6.39708 | + | 14.7430i | 0.217885 | + | 0.502148i | ||||
\(863\) | 3.26635 | 0.111188 | 0.0555940 | − | 0.998453i | \(-0.482295\pi\) | ||||
0.0555940 | + | 0.998453i | \(0.482295\pi\) | |||||||
\(864\) | −26.8972 | − | 11.8550i | −0.915061 | − | 0.403315i | ||||
\(865\) | 14.7756 | 0.502386 | ||||||||
\(866\) | −5.43296 | − | 12.5210i | −0.184620 | − | 0.425482i | ||||
\(867\) | −3.65337 | − | 15.8528i | −0.124075 | − | 0.538390i | ||||
\(868\) | −3.99403 | − | 3.73588i | −0.135566 | − | 0.126804i | ||||
\(869\) | −25.1634 | + | 93.9109i | −0.853608 | + | 3.18571i | ||||
\(870\) | 4.42213 | − | 3.26432i | 0.149924 | − | 0.110671i | ||||
\(871\) | 47.9818 | + | 27.7023i | 1.62580 | + | 0.938657i | ||||
\(872\) | −20.7159 | + | 9.82291i | −0.701527 | + | 0.332646i | ||||
\(873\) | −1.29368 | + | 18.2945i | −0.0437844 | + | 0.619173i | ||||
\(874\) | −13.9015 | + | 2.06676i | −0.470225 | + | 0.0699094i | ||||
\(875\) | 5.11741 | − | 1.37121i | 0.173000 | − | 0.0463553i | ||||
\(876\) | −1.14101 | + | 1.96757i | −0.0385510 | + | 0.0664779i | ||||
\(877\) | −35.5827 | − | 9.53436i | −1.20154 | − | 0.321952i | −0.398104 | − | 0.917340i | \(-0.630332\pi\) |
−0.803439 | + | 0.595388i | \(0.796998\pi\) | |||||||
\(878\) | −2.53336 | + | 22.0854i | −0.0854967 | + | 0.745346i | ||||
\(879\) | −7.09579 | − | 0.250574i | −0.239335 | − | 0.00845165i | ||||
\(880\) | −20.8333 | + | 1.39303i | −0.702291 | + | 0.0469590i | ||||
\(881\) | −24.2794 | −0.817994 | −0.408997 | − | 0.912536i | \(-0.634121\pi\) | ||||
−0.408997 | + | 0.912536i | \(0.634121\pi\) | |||||||
\(882\) | −5.12297 | + | 27.4047i | −0.172499 | + | 0.922763i | ||||
\(883\) | 17.8136 | − | 17.8136i | 0.599475 | − | 0.599475i | −0.340698 | − | 0.940173i | \(-0.610663\pi\) |
0.940173 | + | 0.340698i | \(0.110663\pi\) | |||||||
\(884\) | 21.5418 | − | 13.4152i | 0.724528 | − | 0.451202i | ||||
\(885\) | −3.14383 | + | 10.2686i | −0.105679 | + | 0.345175i | ||||
\(886\) | 16.8931 | + | 21.2708i | 0.567535 | + | 0.714606i | ||||
\(887\) | −3.04467 | + | 1.75784i | −0.102230 | + | 0.0590225i | −0.550243 | − | 0.835004i | \(-0.685465\pi\) |
0.448013 | + | 0.894027i | \(0.352132\pi\) | |||||||
\(888\) | −23.3951 | + | 18.5072i | −0.785087 | + | 0.621062i | ||||
\(889\) | 10.8893 | + | 6.28692i | 0.365214 | + | 0.210857i | ||||
\(890\) | 0.931523 | + | 6.26561i | 0.0312247 | + | 0.210024i | ||||
\(891\) | 21.0223 | − | 49.3105i | 0.704275 | − | 1.65196i | ||||
\(892\) | −7.63561 | − | 25.1117i | −0.255659 | − | 0.840803i | ||||
\(893\) | 5.91258 | + | 22.0660i | 0.197857 | + | 0.738412i | ||||
\(894\) | 17.7204 | + | 45.1385i | 0.592659 | + | 1.50966i | ||||
\(895\) | −4.06883 | − | 7.04742i | −0.136006 | − | 0.235569i | ||||
\(896\) | −5.31153 | + | 5.16424i | −0.177446 | + | 0.172525i | ||||
\(897\) | −15.1401 | − | 28.5014i | −0.505514 | − | 0.951633i | ||||
\(898\) | 19.8771 | + | 45.8095i | 0.663306 | + | 1.52868i | ||||
\(899\) | 7.56046 | − | 7.56046i | 0.252155 | − | 0.252155i | ||||
\(900\) | 18.6100 | − | 17.2740i | 0.620334 | − | 0.575801i | ||||
\(901\) | −21.0885 | − | 21.0885i | −0.702559 | − | 0.702559i | ||||
\(902\) | −55.7104 | − | 21.9939i | −1.85495 | − | 0.732318i | ||||
\(903\) | 0.0348700 | − | 0.987454i | 0.00116040 | − | 0.0328604i | ||||
\(904\) | −0.924469 | − | 5.05240i | −0.0307474 | − | 0.168040i | ||||
\(905\) | 16.6241 | − | 9.59793i | 0.552604 | − | 0.319046i | ||||
\(906\) | 14.3184 | − | 1.61465i | 0.475697 | − | 0.0536431i | ||||
\(907\) | −29.1924 | + | 7.82207i | −0.969316 | + | 0.259727i | −0.708539 | − | 0.705672i | \(-0.750645\pi\) |
−0.260777 | + | 0.965399i | \(0.583979\pi\) | |||||||
\(908\) | 7.34915 | + | 3.92198i | 0.243890 | + | 0.130156i | ||||
\(909\) | 28.9481 | − | 25.1244i | 0.960147 | − | 0.833323i | ||||
\(910\) | −2.99959 | − | 2.22312i | −0.0994354 | − | 0.0736956i | ||||
\(911\) | −25.9833 | + | 45.0044i | −0.860866 | + | 1.49106i | 0.0102283 | + | 0.999948i | \(0.496744\pi\) |
−0.871094 | + | 0.491116i | \(0.836589\pi\) | |||||||
\(912\) | −8.03228 | + | 14.9820i | −0.265975 | + | 0.496104i | ||||
\(913\) | −16.5514 | − | 28.6679i | −0.547772 | − | 0.948769i | ||||
\(914\) | 0.105220 | − | 0.917289i | 0.00348036 | − | 0.0303412i | ||||
\(915\) | 1.33317 | + | 5.78492i | 0.0440731 | + | 0.191243i | ||||
\(916\) | −29.5295 | − | 47.4177i | −0.975683 | − | 1.56672i | ||||
\(917\) | 5.59735 | + | 5.59735i | 0.184841 | + | 0.184841i | ||||
\(918\) | 9.39366 | − | 17.9600i | 0.310037 | − | 0.592769i | ||||
\(919\) | − | 24.7771i | − | 0.817322i | −0.912686 | − | 0.408661i | \(-0.865996\pi\) | ||
0.912686 | − | 0.408661i | \(-0.134004\pi\) | |||||||
\(920\) | −0.810600 | + | 10.0072i | −0.0267247 | + | 0.329928i | ||||
\(921\) | 11.2218 | + | 7.01827i | 0.369770 | + | 0.231260i | ||||
\(922\) | −4.48650 | + | 3.56315i | −0.147755 | + | 0.117346i | ||||
\(923\) | 5.17748 | − | 19.3226i | 0.170419 | − | 0.636011i | ||||
\(924\) | −9.53480 | − | 9.57139i | −0.313672 | − | 0.314876i | ||||
\(925\) | −6.66936 | − | 24.8904i | −0.219287 | − | 0.818391i | ||||
\(926\) | 35.5306 | − | 47.9404i | 1.16761 | − | 1.57542i | ||||
\(927\) | 3.54640 | − | 5.24888i | 0.116479 | − | 0.172396i | ||||
\(928\) | −9.74422 | − | 10.7156i | −0.319870 | − | 0.351757i | ||||
\(929\) | 18.9049 | − | 32.7442i | 0.620249 | − | 1.07430i | −0.369190 | − | 0.929354i | \(-0.620365\pi\) |
0.989439 | − | 0.144949i | \(-0.0463017\pi\) | |||||||
\(930\) | −5.58886 | + | 7.00955i | −0.183266 | + | 0.229852i | ||||
\(931\) | 15.5741 | + | 4.17306i | 0.510420 | + | 0.136767i | ||||
\(932\) | −9.90460 | − | 9.26444i | −0.324436 | − | 0.303467i | ||||
\(933\) | 18.3978 | + | 19.7448i | 0.602318 | + | 0.646415i | ||||
\(934\) | −0.336484 | − | 0.132841i | −0.0110101 | − | 0.00434668i | ||||
\(935\) | − | 14.3975i | − | 0.470849i | ||||||
\(936\) | −38.5892 | − | 5.88832i | −1.26133 | − | 0.192466i | ||||
\(937\) | 18.8873i | 0.617022i | 0.951221 | + | 0.308511i | \(0.0998307\pi\) | ||||
−0.951221 | + | 0.308511i | \(0.900169\pi\) | |||||||
\(938\) | 4.09531 | − | 10.3734i | 0.133716 | − | 0.338702i | ||||
\(939\) | 14.9063 | − | 48.6880i | 0.486448 | − | 1.58887i | ||||
\(940\) | 16.3104 | − | 0.544692i | 0.531985 | − | 0.0177659i | ||||
\(941\) | −8.30590 | − | 2.22556i | −0.270765 | − | 0.0725511i | 0.120882 | − | 0.992667i | \(-0.461428\pi\) |
−0.391647 | + | 0.920116i | \(0.628094\pi\) | |||||||
\(942\) | 44.8492 | − | 17.6068i | 1.46126 | − | 0.573661i | ||||
\(943\) | −14.4001 | + | 24.9417i | −0.468931 | + | 0.812213i | ||||
\(944\) | 27.7618 | + | 5.48418i | 0.903568 | + | 0.178495i | ||||
\(945\) | −2.96522 | − | 0.315182i | −0.0964588 | − | 0.0102529i | ||||
\(946\) | −5.89559 | − | 4.36946i | −0.191682 | − | 0.142063i | ||||
\(947\) | 7.85363 | + | 29.3101i | 0.255209 | + | 0.952452i | 0.967974 | + | 0.251049i | \(0.0807756\pi\) |
−0.712766 | + | 0.701402i | \(0.752558\pi\) | |||||||
\(948\) | 49.0244 | − | 28.1792i | 1.59224 | − | 0.915218i | ||||
\(949\) | −0.781778 | + | 2.91764i | −0.0253776 | + | 0.0947105i | ||||
\(950\) | −9.13264 | − | 11.4993i | −0.296302 | − | 0.373086i | ||||
\(951\) | 8.35547 | − | 4.43849i | 0.270945 | − | 0.143928i | ||||
\(952\) | −3.30867 | − | 3.89193i | −0.107235 | − | 0.126138i | ||||
\(953\) | − | 53.9237i | − | 1.74676i | −0.487038 | − | 0.873381i | \(-0.661923\pi\) | ||
0.487038 | − | 0.873381i | \(-0.338077\pi\) | |||||||
\(954\) | 3.52864 | + | 45.7391i | 0.114244 | + | 1.48086i | ||||
\(955\) | 2.14468 | + | 2.14468i | 0.0694002 | + | 0.0694002i | ||||
\(956\) | 15.9369 | + | 3.70492i | 0.515438 | + | 0.119826i | ||||
\(957\) | 19.3245 | − | 18.0062i | 0.624672 | − | 0.582058i | ||||
\(958\) | 19.6172 | + | 2.25024i | 0.633804 | + | 0.0727020i | ||||
\(959\) | 1.08908 | + | 1.88635i | 0.0351684 | + | 0.0609134i | ||||
\(960\) | 9.12545 | + | 8.01248i | 0.294522 | + | 0.258602i | ||||
\(961\) | 6.78043 | − | 11.7441i | 0.218724 | − | 0.378840i | ||||
\(962\) | −23.5884 | + | 31.8272i | −0.760521 | + | 1.02615i | ||||
\(963\) | −29.1452 | − | 10.0610i | −0.939190 | − | 0.324212i | ||||
\(964\) | −0.301886 | − | 0.992831i | −0.00972309 | − | 0.0319769i | ||||
\(965\) | 8.35362 | − | 2.23835i | 0.268913 | − | 0.0720549i | ||||
\(966\) | −5.22655 | + | 3.85812i | −0.168162 | + | 0.124133i | ||||
\(967\) | −17.5688 | + | 10.1433i | −0.564973 | + | 0.326187i | −0.755139 | − | 0.655565i | \(-0.772431\pi\) |
0.190166 | + | 0.981752i | \(0.439097\pi\) | |||||||
\(968\) | −68.0949 | + | 12.4597i | −2.18865 | + | 0.400471i | ||||
\(969\) | −9.93817 | − | 6.21547i | −0.319260 | − | 0.199670i | ||||
\(970\) | 2.78238 | − | 7.04775i | 0.0893370 | − | 0.226289i | ||||
\(971\) | 8.82647 | + | 8.82647i | 0.283255 | + | 0.283255i | 0.834406 | − | 0.551151i | \(-0.185811\pi\) |
−0.551151 | + | 0.834406i | \(0.685811\pi\) | |||||||
\(972\) | −28.9472 | + | 11.5783i | −0.928483 | + | 0.371375i | ||||
\(973\) | −5.01092 | + | 5.01092i | −0.160643 | + | 0.160643i | ||||
\(974\) | −3.80562 | + | 1.65128i | −0.121940 | + | 0.0529105i | ||||
\(975\) | 17.8804 | − | 28.5897i | 0.572630 | − | 0.915602i | ||||
\(976\) | 14.8064 | − | 5.04785i | 0.473942 | − | 0.161578i | ||||
\(977\) | 21.4183 | + | 37.0976i | 0.685233 | + | 1.18686i | 0.973364 | + | 0.229267i | \(0.0736328\pi\) |
−0.288131 | + | 0.957591i | \(0.593034\pi\) | |||||||
\(978\) | −2.58359 | + | 17.1518i | −0.0826139 | + | 0.548454i | ||||
\(979\) | 7.87854 | + | 29.4031i | 0.251799 | + | 0.939728i | ||||
\(980\) | 5.42294 | − | 10.1617i | 0.173230 | − | 0.324603i | ||||
\(981\) | −7.93502 | + | 22.9864i | −0.253346 | + | 0.733900i | ||||
\(982\) | −25.7508 | + | 3.82843i | −0.821741 | + | 0.122170i | ||||
\(983\) | 16.9469 | + | 9.78431i | 0.540523 | + | 0.312071i | 0.745291 | − | 0.666740i | \(-0.232311\pi\) |
−0.204768 | + | 0.978811i | \(0.565644\pi\) | |||||||
\(984\) | 13.8050 | + | 31.9831i | 0.440086 | + | 1.01958i | ||||
\(985\) | 5.31635 | − | 3.06940i | 0.169393 | − | 0.0977991i | ||||
\(986\) | 7.82065 | − | 6.21111i | 0.249060 | − | 0.197802i | ||||
\(987\) | 7.19845 | + | 7.72546i | 0.229129 | + | 0.245904i | ||||
\(988\) | −5.11191 | + | 21.9892i | −0.162632 | + | 0.699571i | ||||
\(989\) | −2.49508 | + | 2.49508i | −0.0793390 | + | 0.0793390i | ||||
\(990\) | −14.4089 | + | 16.8180i | −0.457946 | + | 0.534511i | ||||
\(991\) | −26.7726 | −0.850459 | −0.425230 | − | 0.905086i | \(-0.639807\pi\) | ||||
−0.425230 | + | 0.905086i | \(0.639807\pi\) | |||||||
\(992\) | 19.8751 | + | 12.7685i | 0.631034 | + | 0.405400i | ||||
\(993\) | 20.9867 | + | 39.5076i | 0.665993 | + | 1.25374i | ||||
\(994\) | −4.00046 | − | 0.458882i | −0.126887 | − | 0.0145548i | ||||
\(995\) | 16.4216 | + | 4.40015i | 0.520599 | + | 0.139494i | ||||
\(996\) | −5.01862 | + | 18.5873i | −0.159021 | + | 0.588960i | ||||
\(997\) | −8.88189 | + | 2.37990i | −0.281292 | + | 0.0753720i | −0.396707 | − | 0.917945i | \(-0.629847\pi\) |
0.115415 | + | 0.993317i | \(0.463180\pi\) | |||||||
\(998\) | 3.80916 | + | 25.6212i | 0.120577 | + | 0.811024i | ||||
\(999\) | −3.34424 | + | 31.4626i | −0.105807 | + | 0.995431i |
(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 | 144.2.x.e.133.11 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.181.8 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.241.9 | 72 | |||
9.4 | even | 3 | inner | 144.2.x.e.85.1 | yes | 72 | |
9.5 | odd | 6 | 432.2.y.e.37.18 | 72 | |||
12.11 | even | 2 | 1728.2.bc.e.1585.7 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.529.17 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.61.1 | yes | 72 | |
36.23 | even | 6 | 1728.2.bc.e.1009.12 | 72 | |||
36.31 | odd | 6 | 576.2.bb.e.49.17 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.397.18 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.721.12 | 72 | |||
144.13 | even | 12 | inner | 144.2.x.e.13.11 | ✓ | 72 | |
144.67 | odd | 12 | 576.2.bb.e.337.9 | 72 | |||
144.77 | odd | 12 | 432.2.y.e.253.8 | 72 | |||
144.131 | even | 12 | 1728.2.bc.e.145.7 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.11 | ✓ | 72 | 144.13 | even | 12 | inner | |
144.2.x.e.61.1 | yes | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.85.1 | yes | 72 | 9.4 | even | 3 | inner | |
144.2.x.e.133.11 | yes | 72 | 1.1 | even | 1 | trivial | |
432.2.y.e.37.18 | 72 | 9.5 | odd | 6 | |||
432.2.y.e.181.8 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.253.8 | 72 | 144.77 | odd | 12 | |||
432.2.y.e.397.18 | 72 | 48.29 | odd | 4 | |||
576.2.bb.e.49.17 | 72 | 36.31 | odd | 6 | |||
576.2.bb.e.241.9 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.337.9 | 72 | 144.67 | odd | 12 | |||
576.2.bb.e.529.17 | 72 | 16.3 | odd | 4 | |||
1728.2.bc.e.145.7 | 72 | 144.131 | even | 12 | |||
1728.2.bc.e.721.12 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.1009.12 | 72 | 36.23 | even | 6 | |||
1728.2.bc.e.1585.7 | 72 | 12.11 | even | 2 |