Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 163.1 | ||
Root | \(0.0878222i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.t.568.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.162544 | + | 0.0591613i | −0.114936 | + | 0.0418333i | −0.398848 | − | 0.917017i | \(-0.630590\pi\) |
0.283912 | + | 0.958850i | \(0.408368\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.50917 | + | 1.26634i | −0.754584 | + | 0.633171i | ||||
\(5\) | −0.648847 | − | 3.67980i | −0.290173 | − | 1.64565i | −0.686198 | − | 0.727415i | \(-0.740722\pi\) |
0.396025 | − | 0.918240i | \(-0.370389\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.32226 | + | 1.94861i | 0.877733 | + | 0.736505i | 0.965712 | − | 0.259617i | \(-0.0835964\pi\) |
−0.0879791 | + | 0.996122i | \(0.528041\pi\) | |||||||
\(8\) | 0.343364 | − | 0.594724i | 0.121398 | − | 0.210267i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.323168 | + | 0.559743i | 0.102195 | + | 0.177006i | ||||
\(11\) | −0.432678 | + | 2.45384i | −0.130457 | + | 0.739861i | 0.847458 | + | 0.530862i | \(0.178132\pi\) |
−0.977916 | + | 0.208999i | \(0.932979\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.718995 | + | 0.261693i | 0.199413 | + | 0.0725805i | 0.439796 | − | 0.898098i | \(-0.355051\pi\) |
−0.240383 | + | 0.970678i | \(0.577273\pi\) | |||||||
\(14\) | −0.492752 | − | 0.179347i | −0.131694 | − | 0.0479326i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.663574 | − | 3.76332i | 0.165894 | − | 0.940829i | ||||
\(17\) | −2.31139 | − | 4.00345i | −0.560595 | − | 0.970979i | −0.997445 | − | 0.0714442i | \(-0.977239\pi\) |
0.436850 | − | 0.899534i | \(-0.356094\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.305922 | − | 0.529872i | 0.0701833 | − | 0.121561i | −0.828798 | − | 0.559548i | \(-0.810975\pi\) |
0.898982 | + | 0.437987i | \(0.144308\pi\) | |||||||
\(20\) | 5.63910 | + | 4.73177i | 1.26094 | + | 1.05806i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0748430 | − | 0.424456i | −0.0159566 | − | 0.0904942i | ||||
\(23\) | 4.99796 | − | 4.19379i | 1.04215 | − | 0.874465i | 0.0499011 | − | 0.998754i | \(-0.484109\pi\) |
0.992246 | + | 0.124289i | \(0.0396650\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.42143 | + | 3.06515i | −1.68429 | + | 0.613030i | ||||
\(26\) | −0.132351 | −0.0259561 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.97229 | −1.12866 | ||||||||
\(29\) | 6.15583 | − | 2.24054i | 1.14311 | − | 0.416057i | 0.300073 | − | 0.953916i | \(-0.402989\pi\) |
0.843035 | + | 0.537859i | \(0.180767\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.01792 | − | 4.21053i | 0.901245 | − | 0.756234i | −0.0691887 | − | 0.997604i | \(-0.522041\pi\) |
0.970433 | + | 0.241370i | \(0.0775966\pi\) | |||||||
\(32\) | 0.353281 | + | 2.00355i | 0.0624518 | + | 0.354182i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.612552 | + | 0.513992i | 0.105052 | + | 0.0881490i | ||||
\(35\) | 5.66369 | − | 9.80980i | 0.957338 | − | 1.65816i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.47984 | − | 4.29522i | −0.407684 | − | 0.706129i | 0.586946 | − | 0.809626i | \(-0.300330\pi\) |
−0.994630 | + | 0.103497i | \(0.966997\pi\) | |||||||
\(38\) | −0.0183779 | + | 0.104226i | −0.00298129 | + | 0.0169078i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.41125 | − | 0.877625i | −0.381253 | − | 0.138765i | ||||
\(41\) | −4.94301 | − | 1.79911i | −0.771968 | − | 0.280973i | −0.0741488 | − | 0.997247i | \(-0.523624\pi\) |
−0.697819 | + | 0.716274i | \(0.745846\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.967320 | − | 5.48594i | 0.147515 | − | 0.836599i | −0.817798 | − | 0.575505i | \(-0.804806\pi\) |
0.965313 | − | 0.261094i | \(-0.0840832\pi\) | |||||||
\(44\) | −2.45442 | − | 4.25118i | −0.370018 | − | 0.640889i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.564280 | + | 0.977362i | −0.0831986 | + | 0.144104i | ||||
\(47\) | 0.848483 | + | 0.711962i | 0.123764 | + | 0.103850i | 0.702569 | − | 0.711616i | \(-0.252036\pi\) |
−0.578805 | + | 0.815466i | \(0.696481\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.380286 | + | 2.15671i | 0.0543265 | + | 0.308101i | ||||
\(50\) | 1.18752 | − | 0.996445i | 0.167940 | − | 0.140919i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.41648 | + | 0.515556i | −0.196430 | + | 0.0714947i | ||||
\(53\) | 8.84310 | 1.21469 | 0.607346 | − | 0.794437i | \(-0.292234\pi\) | ||||
0.607346 | + | 0.794437i | \(0.292234\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.31038 | 1.25541 | ||||||||
\(56\) | 1.95627 | − | 0.712023i | 0.261417 | − | 0.0951480i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.868041 | + | 0.728373i | −0.113979 | + | 0.0956400i | ||||
\(59\) | −2.05804 | − | 11.6717i | −0.267933 | − | 1.51953i | −0.760550 | − | 0.649280i | \(-0.775071\pi\) |
0.492616 | − | 0.870247i | \(-0.336041\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.27161 | + | 5.26250i | 0.802997 | + | 0.673795i | 0.948925 | − | 0.315500i | \(-0.102172\pi\) |
−0.145928 | + | 0.989295i | \(0.546617\pi\) | |||||||
\(62\) | −0.566533 | + | 0.981264i | −0.0719498 | + | 0.124621i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.64541 | + | 6.31404i | 0.455677 | + | 0.789255i | ||||
\(65\) | 0.496458 | − | 2.81555i | 0.0615781 | − | 0.349227i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.13923 | + | 0.414644i | 0.139179 | + | 0.0506568i | 0.410670 | − | 0.911784i | \(-0.365295\pi\) |
−0.271492 | + | 0.962441i | \(0.587517\pi\) | |||||||
\(68\) | 8.55801 | + | 3.11486i | 1.03781 | + | 0.377733i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.340240 | + | 1.92960i | −0.0406665 | + | 0.230631i | ||||
\(71\) | 2.45973 | + | 4.26038i | 0.291916 | + | 0.505614i | 0.974263 | − | 0.225415i | \(-0.0723738\pi\) |
−0.682346 | + | 0.731029i | \(0.739040\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.14972 | + | 3.72343i | −0.251606 | + | 0.435795i | −0.963968 | − | 0.266017i | \(-0.914292\pi\) |
0.712362 | + | 0.701812i | \(0.247625\pi\) | |||||||
\(74\) | 0.657195 | + | 0.551452i | 0.0763973 | + | 0.0641050i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.209312 | + | 1.18707i | 0.0240098 | + | 0.136166i | ||||
\(77\) | −5.78637 | + | 4.85534i | −0.659418 | + | 0.553318i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.0833 | − | 4.03399i | 1.24697 | − | 0.453860i | 0.367593 | − | 0.929987i | \(-0.380182\pi\) |
0.879376 | + | 0.476127i | \(0.157960\pi\) | |||||||
\(80\) | −14.2788 | −1.59642 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.909895 | 0.100481 | ||||||||
\(83\) | −8.47234 | + | 3.08368i | −0.929960 | + | 0.338478i | −0.762194 | − | 0.647349i | \(-0.775878\pi\) |
−0.167766 | + | 0.985827i | \(0.553655\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −13.2321 | + | 11.1031i | −1.43523 | + | 1.20430i | ||||
\(86\) | 0.167323 | + | 0.948936i | 0.0180429 | + | 0.102326i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.31079 | + | 1.09989i | 0.139731 | + | 0.117248i | ||||
\(89\) | −3.76943 | + | 6.52884i | −0.399558 | + | 0.692055i | −0.993671 | − | 0.112326i | \(-0.964170\pi\) |
0.594113 | + | 0.804382i | \(0.297503\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.15976 | + | 2.00876i | 0.121576 | + | 0.210575i | ||||
\(92\) | −2.23199 | + | 12.6583i | −0.232701 | + | 1.31972i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.180037 | − | 0.0655279i | −0.0185694 | − | 0.00675869i | ||||
\(95\) | −2.14832 | − | 0.781924i | −0.220413 | − | 0.0802237i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.164680 | + | 0.933947i | −0.0167207 | + | 0.0948279i | −0.992026 | − | 0.126033i | \(-0.959776\pi\) |
0.975305 | + | 0.220861i | \(0.0708866\pi\) | |||||||
\(98\) | −0.189407 | − | 0.328062i | −0.0191330 | − | 0.0331393i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.82783 | − | 15.2902i | 0.882783 | − | 1.52902i | ||||
\(101\) | −4.29610 | − | 3.60485i | −0.427477 | − | 0.358696i | 0.403521 | − | 0.914970i | \(-0.367786\pi\) |
−0.830999 | + | 0.556274i | \(0.812231\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.63664 | − | 9.28183i | −0.161263 | − | 0.914566i | −0.952835 | − | 0.303490i | \(-0.901848\pi\) |
0.791572 | − | 0.611076i | \(-0.209263\pi\) | |||||||
\(104\) | 0.402512 | − | 0.337748i | 0.0394696 | − | 0.0331189i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.43739 | + | 0.523169i | −0.139612 | + | 0.0508146i | ||||
\(107\) | −1.27825 | −0.123573 | −0.0617864 | − | 0.998089i | \(-0.519680\pi\) | ||||
−0.0617864 | + | 0.998089i | \(0.519680\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.40689 | −0.709451 | −0.354726 | − | 0.934970i | \(-0.615426\pi\) | ||||
−0.354726 | + | 0.934970i | \(0.615426\pi\) | |||||||
\(110\) | −1.51335 | + | 0.550814i | −0.144292 | + | 0.0525180i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.87423 | − | 7.44636i | 0.838535 | − | 0.703615i | ||||
\(113\) | 1.62395 | + | 9.20989i | 0.152768 | + | 0.866393i | 0.960798 | + | 0.277251i | \(0.0894232\pi\) |
−0.808029 | + | 0.589143i | \(0.799466\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −18.6752 | − | 15.6704i | −1.74147 | − | 1.46127i | ||||
\(116\) | −6.45289 | + | 11.1767i | −0.599136 | + | 1.03773i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.02503 | + | 1.77541i | 0.0943621 | + | 0.163440i | ||||
\(119\) | 2.43350 | − | 13.8011i | 0.223078 | − | 1.26514i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.50249 | + | 1.63877i | 0.409317 | + | 0.148979i | ||||
\(122\) | −1.33075 | − | 0.484353i | −0.120480 | − | 0.0438513i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.24091 | + | 12.7088i | −0.201239 | + | 1.14128i | ||||
\(125\) | 7.40194 | + | 12.8205i | 0.662050 | + | 1.14670i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.3984 | + | 18.0106i | −0.922710 | + | 1.59818i | −0.127505 | + | 0.991838i | \(0.540697\pi\) |
−0.795204 | + | 0.606342i | \(0.792636\pi\) | |||||||
\(128\) | −4.08306 | − | 3.42610i | −0.360895 | − | 0.302827i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0858753 | + | 0.487023i | 0.00753176 | + | 0.0427148i | ||||
\(131\) | −0.502395 | + | 0.421559i | −0.0438944 | + | 0.0368318i | −0.664471 | − | 0.747314i | \(-0.731343\pi\) |
0.620577 | + | 0.784146i | \(0.286899\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.74295 | − | 0.634380i | 0.151133 | − | 0.0550077i | ||||
\(134\) | −0.209705 | −0.0181158 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.17460 | −0.272219 | ||||||||
\(137\) | −8.06971 | + | 2.93713i | −0.689442 | + | 0.250936i | −0.662896 | − | 0.748711i | \(-0.730673\pi\) |
−0.0265455 | + | 0.999648i | \(0.508451\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3003 | − | 8.64301i | 0.873664 | − | 0.733091i | −0.0912026 | − | 0.995832i | \(-0.529071\pi\) |
0.964866 | + | 0.262742i | \(0.0846267\pi\) | |||||||
\(140\) | 3.87510 | + | 21.9768i | 0.327506 | + | 1.85738i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.651865 | − | 0.546979i | −0.0547033 | − | 0.0459015i | ||||
\(143\) | −0.953247 | + | 1.65107i | −0.0797145 | + | 0.138070i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2389 | − | 21.1984i | −1.01639 | − | 1.76043i | ||||
\(146\) | 0.129142 | − | 0.732403i | 0.0106879 | − | 0.0606141i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.18172 | + | 3.34187i | 0.754732 | + | 0.274700i | ||||
\(149\) | −9.04179 | − | 3.29094i | −0.740732 | − | 0.269604i | −0.0560315 | − | 0.998429i | \(-0.517845\pi\) |
−0.684700 | + | 0.728825i | \(0.740067\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.23780 | + | 7.01991i | −0.100731 | + | 0.571272i | 0.892109 | + | 0.451820i | \(0.149225\pi\) |
−0.992840 | + | 0.119452i | \(0.961886\pi\) | |||||||
\(152\) | −0.210085 | − | 0.363878i | −0.0170402 | − | 0.0295144i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.653293 | − | 1.13154i | 0.0526439 | − | 0.0911818i | ||||
\(155\) | −18.7498 | − | 15.7329i | −1.50602 | − | 1.26370i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.33462 | + | 7.56900i | 0.106514 | + | 0.604072i | 0.990605 | + | 0.136756i | \(0.0436678\pi\) |
−0.884090 | + | 0.467316i | \(0.845221\pi\) | |||||||
\(158\) | −1.56287 | + | 1.31140i | −0.124335 | + | 0.104330i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.14344 | − | 2.60000i | 0.564739 | − | 0.205548i | ||||
\(161\) | 19.7786 | 1.55877 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.04750 | 0.0820465 | 0.0410232 | − | 0.999158i | \(-0.486938\pi\) | ||||
0.0410232 | + | 0.999158i | \(0.486938\pi\) | |||||||
\(164\) | 9.73812 | − | 3.54439i | 0.760419 | − | 0.276770i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.19469 | − | 1.00247i | 0.0927263 | − | 0.0778066i | ||||
\(167\) | 1.45067 | + | 8.22716i | 0.112256 | + | 0.636637i | 0.988072 | + | 0.153991i | \(0.0492128\pi\) |
−0.875816 | + | 0.482645i | \(0.839676\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.51011 | − | 7.97993i | −0.731547 | − | 0.613841i | ||||
\(170\) | 1.49393 | − | 2.58757i | 0.114580 | − | 0.198458i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.48724 | + | 9.50417i | 0.418398 | + | 0.724686i | ||||
\(173\) | 3.79348 | − | 21.5139i | 0.288413 | − | 1.63567i | −0.404420 | − | 0.914573i | \(-0.632527\pi\) |
0.692833 | − | 0.721098i | \(-0.256362\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −25.5295 | − | 9.29200i | −1.92985 | − | 0.702409i | ||||
\(176\) | 8.94747 | + | 3.25661i | 0.674441 | + | 0.245476i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.226444 | − | 1.28423i | 0.0169727 | − | 0.0962570i | ||||
\(179\) | 4.54433 | + | 7.87101i | 0.339659 | + | 0.588307i | 0.984369 | − | 0.176121i | \(-0.0563549\pi\) |
−0.644709 | + | 0.764428i | \(0.723022\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.56539 | − | 6.17543i | 0.265013 | − | 0.459016i | −0.702554 | − | 0.711630i | \(-0.747957\pi\) |
0.967567 | + | 0.252614i | \(0.0812904\pi\) | |||||||
\(182\) | −0.307353 | − | 0.257900i | −0.0227825 | − | 0.0191168i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.778026 | − | 4.41240i | −0.0573568 | − | 0.325287i | ||||
\(185\) | −14.1965 | + | 11.9123i | −1.04375 | + | 0.875807i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.8239 | − | 3.93958i | 0.791523 | − | 0.288091i | ||||
\(188\) | −2.18209 | −0.159145 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.395456 | 0.0286894 | ||||||||
\(191\) | −11.2346 | + | 4.08907i | −0.812908 | + | 0.295874i | −0.714825 | − | 0.699304i | \(-0.753493\pi\) |
−0.0980836 | + | 0.995178i | \(0.531271\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.79760 | + | 5.70386i | −0.489302 | + | 0.410573i | −0.853776 | − | 0.520640i | \(-0.825693\pi\) |
0.364474 | + | 0.931214i | \(0.381249\pi\) | |||||||
\(194\) | −0.0284857 | − | 0.161550i | −0.00204515 | − | 0.0115986i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.30505 | − | 2.77326i | −0.236075 | − | 0.198090i | ||||
\(197\) | −3.69895 | + | 6.40677i | −0.263539 | + | 0.456464i | −0.967180 | − | 0.254093i | \(-0.918223\pi\) |
0.703641 | + | 0.710556i | \(0.251557\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.19187 | + | 8.99259i | 0.368042 | + | 0.637468i | 0.989259 | − | 0.146171i | \(-0.0466948\pi\) |
−0.621217 | + | 0.783638i | \(0.713362\pi\) | |||||||
\(200\) | −1.06870 | + | 6.06089i | −0.0755684 | + | 0.428570i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.911573 | + | 0.331785i | 0.0641381 | + | 0.0233443i | ||||
\(203\) | 18.6614 | + | 6.79218i | 1.30977 | + | 0.476718i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.41309 | + | 19.3566i | −0.238381 | + | 1.35192i | ||||
\(206\) | 0.815151 | + | 1.41188i | 0.0567942 | + | 0.0983705i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.46194 | − | 2.53215i | 0.101367 | − | 0.175573i | ||||
\(209\) | 1.16786 | + | 0.979948i | 0.0807824 | + | 0.0677845i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.62250 | + | 20.5442i | 0.249383 | + | 1.41432i | 0.810089 | + | 0.586307i | \(0.199419\pi\) |
−0.560706 | + | 0.828015i | \(0.689470\pi\) | |||||||
\(212\) | −13.3457 | + | 11.1984i | −0.916588 | + | 0.769109i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.207771 | − | 0.0756226i | 0.0142030 | − | 0.00516946i | ||||
\(215\) | −20.8148 | −1.41956 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.8576 | 1.34802 | ||||||||
\(218\) | 1.20395 | − | 0.438201i | 0.0815416 | − | 0.0296787i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −14.0509 | + | 11.7901i | −0.947313 | + | 0.794890i | ||||
\(221\) | −0.614206 | − | 3.48333i | −0.0413160 | − | 0.234314i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.0622 | + | 15.1560i | 1.20953 | + | 1.01492i | 0.999305 | + | 0.0372657i | \(0.0118648\pi\) |
0.210227 | + | 0.977653i | \(0.432580\pi\) | |||||||
\(224\) | −3.08373 | + | 5.34118i | −0.206041 | + | 0.356873i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.808832 | − | 1.40094i | −0.0538027 | − | 0.0931890i | ||||
\(227\) | −1.82055 | + | 10.3249i | −0.120834 | + | 0.685285i | 0.862861 | + | 0.505441i | \(0.168670\pi\) |
−0.983695 | + | 0.179843i | \(0.942441\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.0452 | + | 4.74807i | 0.862051 | + | 0.313761i | 0.734944 | − | 0.678128i | \(-0.237208\pi\) |
0.127107 | + | 0.991889i | \(0.459431\pi\) | |||||||
\(230\) | 3.96262 | + | 1.44228i | 0.261288 | + | 0.0951009i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.781188 | − | 4.43034i | 0.0512875 | − | 0.290866i | ||||
\(233\) | −3.79982 | − | 6.58149i | −0.248935 | − | 0.431167i | 0.714296 | − | 0.699844i | \(-0.246747\pi\) |
−0.963230 | + | 0.268676i | \(0.913414\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.06934 | − | 3.58420i | 0.134989 | − | 0.233807i | ||||
\(236\) | 17.8863 | + | 15.0084i | 1.16430 | + | 0.976963i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.420937 | + | 2.38725i | 0.0272853 | + | 0.154742i | ||||
\(239\) | 12.6847 | − | 10.6437i | 0.820504 | − | 0.688485i | −0.132586 | − | 0.991172i | \(-0.542328\pi\) |
0.953090 | + | 0.302687i | \(0.0978836\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.6429 | − | 4.96562i | 0.878818 | − | 0.319863i | 0.137085 | − | 0.990559i | \(-0.456227\pi\) |
0.741732 | + | 0.670696i | \(0.234004\pi\) | |||||||
\(242\) | −0.828806 | −0.0532776 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.1290 | −1.03256 | ||||||||
\(245\) | 7.68950 | − | 2.79875i | 0.491264 | − | 0.178805i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.358620 | − | 0.300918i | 0.0228185 | − | 0.0191470i | ||||
\(248\) | −0.781132 | − | 4.43002i | −0.0496020 | − | 0.281307i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.96162 | − | 1.64600i | −0.124064 | − | 0.104102i | ||||
\(251\) | −4.52591 | + | 7.83910i | −0.285673 | + | 0.494800i | −0.972772 | − | 0.231764i | \(-0.925550\pi\) |
0.687099 | + | 0.726563i | \(0.258884\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.12838 | + | 14.0788i | 0.511027 | + | 0.885125i | ||||
\(254\) | 0.624673 | − | 3.54270i | 0.0391955 | − | 0.222289i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.8359 | − | 4.67189i | −0.802244 | − | 0.291993i | ||||
\(257\) | −9.11490 | − | 3.31755i | −0.568572 | − | 0.206943i | 0.0417069 | − | 0.999130i | \(-0.486720\pi\) |
−0.610279 | + | 0.792187i | \(0.708943\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.61085 | − | 14.8069i | 0.162230 | − | 0.920054i | ||||
\(260\) | 2.81622 | + | 4.87783i | 0.174654 | + | 0.302510i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0567214 | − | 0.0982443i | 0.00350426 | − | 0.00606955i | ||||
\(263\) | −20.5723 | − | 17.2622i | −1.26854 | − | 1.06443i | −0.994717 | − | 0.102655i | \(-0.967266\pi\) |
−0.273826 | − | 0.961779i | \(-0.588289\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.73782 | − | 32.5408i | −0.352471 | − | 1.99896i | ||||
\(266\) | −0.245775 | + | 0.206230i | −0.0150694 | + | 0.0126448i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.24436 | + | 0.816882i | −0.137096 | + | 0.0498990i | ||||
\(269\) | 11.7388 | 0.715729 | 0.357865 | − | 0.933774i | \(-0.383505\pi\) | ||||
0.357865 | + | 0.933774i | \(0.383505\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.144576 | 0.00878238 | 0.00439119 | − | 0.999990i | \(-0.498602\pi\) | ||||
0.00439119 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(272\) | −16.6000 | + | 6.04191i | −1.00652 | + | 0.366345i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.13792 | − | 0.954828i | 0.0687443 | − | 0.0576833i | ||||
\(275\) | −3.87762 | − | 21.9911i | −0.233829 | − | 1.32611i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.777094 | − | 0.652060i | −0.0466911 | − | 0.0391785i | 0.619144 | − | 0.785278i | \(-0.287480\pi\) |
−0.665835 | + | 0.746099i | \(0.731924\pi\) | |||||||
\(278\) | −1.16293 | + | 2.01425i | −0.0697479 | + | 0.120807i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.88942 | − | 6.73667i | −0.232437 | − | 0.402593i | ||||
\(281\) | −4.78044 | + | 27.1112i | −0.285177 | + | 1.61732i | 0.419475 | + | 0.907767i | \(0.362214\pi\) |
−0.704652 | + | 0.709553i | \(0.748897\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 25.1865 | + | 9.16713i | 1.49718 | + | 0.544929i | 0.955329 | − | 0.295545i | \(-0.0955013\pi\) |
0.541852 | + | 0.840474i | \(0.317724\pi\) | |||||||
\(284\) | −9.10725 | − | 3.31477i | −0.540416 | − | 0.196695i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0572653 | − | 0.324767i | 0.00338617 | − | 0.0192039i | ||||
\(287\) | −7.97320 | − | 13.8100i | −0.470643 | − | 0.815178i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.18506 | + | 3.78464i | −0.128533 | + | 0.222626i | ||||
\(290\) | 3.24349 | + | 2.72161i | 0.190464 | + | 0.159818i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.47084 | − | 8.34157i | −0.0860747 | − | 0.488154i | ||||
\(293\) | 14.2923 | − | 11.9927i | 0.834964 | − | 0.700618i | −0.121461 | − | 0.992596i | \(-0.538758\pi\) |
0.956425 | + | 0.291978i | \(0.0943134\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −41.6141 | + | 15.1463i | −2.42287 | + | 0.881852i | ||||
\(296\) | −3.40596 | −0.197967 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.66439 | 0.0964153 | ||||||||
\(299\) | 4.69100 | − | 1.70738i | 0.271287 | − | 0.0987405i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.9363 | − | 10.8549i | 0.745638 | − | 0.625664i | ||||
\(302\) | −0.214110 | − | 1.21428i | −0.0123206 | − | 0.0698737i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.79108 | − | 1.50289i | −0.102725 | − | 0.0861967i | ||||
\(305\) | 15.2956 | − | 26.4928i | 0.875825 | − | 1.51697i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.8946 | − | 29.2624i | −0.964227 | − | 1.67009i | −0.711677 | − | 0.702507i | \(-0.752064\pi\) |
−0.252551 | − | 0.967584i | \(-0.581269\pi\) | |||||||
\(308\) | 2.58408 | − | 14.6551i | 0.147242 | − | 0.835049i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.97844 | + | 1.44804i | 0.225960 | + | 0.0822429i | ||||
\(311\) | −32.5947 | − | 11.8635i | −1.84828 | − | 0.672718i | −0.986110 | − | 0.166093i | \(-0.946885\pi\) |
−0.862167 | − | 0.506625i | \(-0.830893\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.580051 | − | 3.28963i | 0.0327864 | − | 0.185941i | −0.964016 | − | 0.265843i | \(-0.914350\pi\) |
0.996803 | + | 0.0799021i | \(0.0254608\pi\) | |||||||
\(314\) | −0.664726 | − | 1.15134i | −0.0375127 | − | 0.0649739i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6182 | + | 20.1232i | −0.653572 | + | 1.13202i | ||||
\(317\) | 23.7725 | + | 19.9475i | 1.33520 | + | 1.12036i | 0.982832 | + | 0.184500i | \(0.0590666\pi\) |
0.352364 | + | 0.935863i | \(0.385378\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.83443 | + | 16.0749i | 0.158698 | + | 0.900019i | ||||
\(320\) | 20.8691 | − | 17.5112i | 1.16662 | − | 0.978908i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.21490 | + | 1.17013i | −0.179159 | + | 0.0652087i | ||||
\(323\) | −2.82842 | −0.157378 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | −0.170265 | + | 0.0619714i | −0.00943011 | + | 0.00343228i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.76722 | + | 2.32198i | −0.152794 | + | 0.128210i | ||||
\(329\) | 0.583065 | + | 3.30672i | 0.0321454 | + | 0.182306i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.50625 | + | 2.10299i | 0.137756 | + | 0.115591i | 0.709062 | − | 0.705146i | \(-0.249119\pi\) |
−0.571306 | + | 0.820737i | \(0.693563\pi\) | |||||||
\(332\) | 8.88119 | − | 15.3827i | 0.487419 | − | 0.844234i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.722527 | − | 1.25145i | −0.0395349 | − | 0.0684765i | ||||
\(335\) | 0.786622 | − | 4.46116i | 0.0429778 | − | 0.243739i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.98190 | − | 2.17723i | −0.325855 | − | 0.118602i | 0.173912 | − | 0.984761i | \(-0.444359\pi\) |
−0.499768 | + | 0.866160i | \(0.666581\pi\) | |||||||
\(338\) | 2.01792 | + | 0.734461i | 0.109760 | + | 0.0399494i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.90921 | − | 33.5128i | 0.320472 | − | 1.81749i | ||||
\(341\) | 8.16083 | + | 14.1350i | 0.441934 | + | 0.765452i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.29078 | − | 12.6280i | 0.393665 | − | 0.681848i | ||||
\(344\) | −2.93048 | − | 2.45896i | −0.158001 | − | 0.132578i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.656181 | + | 3.72139i | 0.0352765 | + | 0.200063i | ||||
\(347\) | 6.73538 | − | 5.65165i | 0.361574 | − | 0.303397i | −0.443844 | − | 0.896104i | \(-0.646385\pi\) |
0.805418 | + | 0.592708i | \(0.201941\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.5318 | + | 4.92517i | −0.724340 | + | 0.263638i | −0.677767 | − | 0.735277i | \(-0.737052\pi\) |
−0.0465728 | + | 0.998915i | \(0.514830\pi\) | |||||||
\(350\) | 4.69941 | 0.251194 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.06926 | −0.270192 | ||||||||
\(353\) | 31.1982 | − | 11.3552i | 1.66051 | − | 0.604378i | 0.670071 | − | 0.742297i | \(-0.266263\pi\) |
0.990444 | + | 0.137919i | \(0.0440413\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.0813 | − | 11.8156i | 0.747360 | − | 0.627109i | ||||
\(356\) | −2.57905 | − | 14.6265i | −0.136689 | − | 0.775203i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.20431 | − | 1.01054i | −0.0636500 | − | 0.0534087i | ||||
\(359\) | 2.47257 | − | 4.28262i | 0.130497 | − | 0.226028i | −0.793371 | − | 0.608738i | \(-0.791676\pi\) |
0.923868 | + | 0.382710i | \(0.125009\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.31282 | + | 16.1303i | 0.490149 | + | 0.848962i | ||||
\(362\) | −0.214187 | + | 1.21471i | −0.0112574 | + | 0.0638439i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.29405 | − | 1.56291i | −0.225069 | − | 0.0819185i | ||||
\(365\) | 15.0963 | + | 5.49461i | 0.790177 | + | 0.287601i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.432810 | + | 2.45459i | −0.0225925 | + | 0.128128i | −0.994018 | − | 0.109216i | \(-0.965166\pi\) |
0.971426 | + | 0.237345i | \(0.0762770\pi\) | |||||||
\(368\) | −12.4660 | − | 21.5918i | −0.649837 | − | 1.12555i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.60281 | − | 2.77615i | 0.0833262 | − | 0.144325i | ||||
\(371\) | 20.5360 | + | 17.2317i | 1.06618 | + | 0.894627i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.87041 | − | 27.6215i | −0.252180 | − | 1.43019i | −0.803208 | − | 0.595699i | \(-0.796875\pi\) |
0.551028 | − | 0.834487i | \(-0.314236\pi\) | |||||||
\(374\) | −1.52629 | + | 1.28071i | −0.0789228 | + | 0.0662241i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.714759 | − | 0.260151i | 0.0368609 | − | 0.0134163i | ||||
\(377\) | 5.01234 | 0.258149 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.13991 | 0.264019 | 0.132010 | − | 0.991248i | \(-0.457857\pi\) | ||||
0.132010 | + | 0.991248i | \(0.457857\pi\) | |||||||
\(380\) | 4.23236 | − | 1.54045i | 0.217115 | − | 0.0790235i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.58421 | − | 1.32931i | 0.0810551 | − | 0.0680133i | ||||
\(383\) | 0.00775737 | + | 0.0439942i | 0.000396383 | + | 0.00224800i | 0.985005 | − | 0.172524i | \(-0.0551923\pi\) |
−0.984609 | + | 0.174772i | \(0.944081\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.6211 | + | 18.1423i | 1.10192 | + | 0.924617i | ||||
\(386\) | 0.767463 | − | 1.32928i | 0.0390628 | − | 0.0676588i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.934167 | − | 1.61802i | −0.0474251 | − | 0.0821427i | ||||
\(389\) | −3.64353 | + | 20.6635i | −0.184734 | + | 1.04768i | 0.741562 | + | 0.670885i | \(0.234085\pi\) |
−0.926296 | + | 0.376796i | \(0.877026\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −28.3419 | − | 10.3156i | −1.43331 | − | 0.521682i | ||||
\(392\) | 1.41322 | + | 0.514371i | 0.0713785 | + | 0.0259797i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.222210 | − | 1.26022i | 0.0111948 | − | 0.0634889i | ||||
\(395\) | −22.0356 | − | 38.1668i | −1.10873 | − | 1.92038i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.00122821 | − | 0.00212731i | 6.16419e−5 | − | 0.000106767i | −0.865995 | − | 0.500053i | \(-0.833314\pi\) |
0.866056 | + | 0.499947i | \(0.166647\pi\) | |||||||
\(398\) | −1.37592 | − | 1.15454i | −0.0689687 | − | 0.0578716i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.94688 | + | 33.7265i | 0.297344 | + | 1.68632i | ||||
\(401\) | −19.3475 | + | 16.2345i | −0.966166 | + | 0.810710i | −0.981945 | − | 0.189166i | \(-0.939422\pi\) |
0.0157788 | + | 0.999876i | \(0.494977\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.70972 | − | 1.71420i | 0.234608 | − | 0.0853904i | ||||
\(404\) | 11.0485 | 0.549684 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.43513 | −0.170483 | ||||||||
\(407\) | 11.6128 | − | 4.22670i | 0.575623 | − | 0.209510i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.8401 | + | 14.9696i | −0.882134 | + | 0.740198i | −0.966617 | − | 0.256227i | \(-0.917521\pi\) |
0.0844827 | + | 0.996425i | \(0.473076\pi\) | |||||||
\(410\) | −0.590383 | − | 3.34823i | −0.0291569 | − | 0.165357i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.2239 | + | 11.9353i | 0.700763 | + | 0.588010i | ||||
\(413\) | 17.9643 | − | 31.1151i | 0.883965 | − | 1.53107i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.8446 | + | 29.1756i | 0.826867 | + | 1.43218i | ||||
\(416\) | −0.270309 | + | 1.53300i | −0.0132530 | + | 0.0751613i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.247803 | − | 0.0901931i | −0.0121205 | − | 0.00441149i | ||||
\(419\) | 29.4014 | + | 10.7013i | 1.43635 | + | 0.522790i | 0.938746 | − | 0.344611i | \(-0.111989\pi\) |
0.497609 | + | 0.867401i | \(0.334211\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.30141 | − | 30.0658i | 0.258375 | − | 1.46532i | −0.528885 | − | 0.848694i | \(-0.677390\pi\) |
0.787259 | − | 0.616622i | \(-0.211499\pi\) | |||||||
\(422\) | −1.80424 | − | 3.12503i | −0.0878289 | − | 0.152124i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.03640 | − | 5.25920i | 0.147461 | − | 0.255409i | ||||
\(425\) | 31.7364 | + | 26.6300i | 1.53944 | + | 1.29174i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.30975 | + | 24.4418i | 0.208564 | + | 1.18282i | ||||
\(428\) | 1.92909 | − | 1.61870i | 0.0932460 | − | 0.0782427i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.38332 | − | 1.23143i | 0.163158 | − | 0.0593848i | ||||
\(431\) | −12.4246 | −0.598474 | −0.299237 | − | 0.954179i | \(-0.596732\pi\) | ||||
−0.299237 | + | 0.954179i | \(0.596732\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.760649 | −0.0365545 | −0.0182772 | − | 0.999833i | \(-0.505818\pi\) | ||||
−0.0182772 | + | 0.999833i | \(0.505818\pi\) | |||||||
\(434\) | −3.22774 | + | 1.17480i | −0.154936 | + | 0.0563922i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.1782 | − | 9.37966i | 0.535341 | − | 0.449204i | ||||
\(437\) | −0.693186 | − | 3.93125i | −0.0331596 | − | 0.188057i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 23.0651 | + | 19.3539i | 1.10084 | + | 0.923712i | 0.997481 | − | 0.0709321i | \(-0.0225974\pi\) |
0.103356 | + | 0.994644i | \(0.467042\pi\) | |||||||
\(440\) | 3.19685 | − | 5.53711i | 0.152404 | − | 0.263971i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.305914 | + | 0.529859i | 0.0145508 | + | 0.0252028i | ||||
\(443\) | 2.37231 | − | 13.4540i | 0.112712 | − | 0.639220i | −0.875146 | − | 0.483859i | \(-0.839235\pi\) |
0.987858 | − | 0.155361i | \(-0.0496541\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 26.4706 | + | 9.63450i | 1.25483 | + | 0.456719i | ||||
\(446\) | −3.83255 | − | 1.39493i | −0.181476 | − | 0.0660520i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.83800 | + | 21.7664i | −0.181328 | + | 1.02836i | ||||
\(449\) | 10.9995 | + | 19.0516i | 0.519097 | + | 0.899102i | 0.999754 | + | 0.0221934i | \(0.00706496\pi\) |
−0.480657 | + | 0.876909i | \(0.659602\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.55346 | − | 11.3509i | 0.308590 | − | 0.534494i | ||||
\(452\) | −14.1137 | − | 11.8428i | −0.663852 | − | 0.557038i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.314911 | − | 1.78595i | −0.0147795 | − | 0.0838188i | ||||
\(455\) | 6.63932 | − | 5.57105i | 0.311256 | − | 0.261175i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.39904 | − | 0.509209i | 0.0654443 | − | 0.0238198i | −0.309091 | − | 0.951033i | \(-0.600025\pi\) |
0.374535 | + | 0.927213i | \(0.377802\pi\) | |||||||
\(458\) | −2.40132 | −0.112206 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 48.0281 | 2.23932 | ||||||||
\(461\) | 6.68435 | − | 2.43290i | 0.311321 | − | 0.113312i | −0.181634 | − | 0.983366i | \(-0.558139\pi\) |
0.492956 | + | 0.870054i | \(0.335917\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.3314 | + | 17.0601i | −0.944879 | + | 0.792848i | −0.978428 | − | 0.206589i | \(-0.933764\pi\) |
0.0335484 | + | 0.999437i | \(0.489319\pi\) | |||||||
\(464\) | −4.34700 | − | 24.6531i | −0.201805 | − | 1.14449i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.00701 | + | 0.844980i | 0.0466487 | + | 0.0391429i | ||||
\(467\) | −13.0760 | + | 22.6482i | −0.605084 | + | 1.04804i | 0.386955 | + | 0.922099i | \(0.373527\pi\) |
−0.992038 | + | 0.125937i | \(0.959806\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.83760 | + | 3.18282i | 0.0848525 | + | 0.146969i | ||||
\(470\) | −0.124313 | + | 0.705015i | −0.00573414 | + | 0.0325199i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.64810 | − | 2.78368i | −0.352032 | − | 0.128129i | ||||
\(473\) | 13.0431 | + | 4.74730i | 0.599722 | + | 0.218281i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.952162 | + | 5.39998i | −0.0436882 | + | 0.247768i | ||||
\(476\) | 13.8043 | + | 23.9098i | 0.632719 | + | 1.09590i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.43213 | + | 2.48052i | −0.0655040 | + | 0.113456i | ||||
\(479\) | −7.97188 | − | 6.68920i | −0.364244 | − | 0.305637i | 0.442235 | − | 0.896899i | \(-0.354186\pi\) |
−0.806480 | + | 0.591262i | \(0.798630\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.658969 | − | 3.73720i | −0.0300464 | − | 0.170402i | ||||
\(482\) | −1.92381 | + | 1.61426i | −0.0876269 | + | 0.0735277i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.87026 | + | 3.22851i | −0.403194 | + | 0.146751i | ||||
\(485\) | 3.54358 | 0.160906 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.4664 | −0.836791 | −0.418396 | − | 0.908265i | \(-0.637407\pi\) | ||||
−0.418396 | + | 0.908265i | \(0.637407\pi\) | |||||||
\(488\) | 5.28318 | − | 1.92292i | 0.239158 | − | 0.0870466i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.08431 | + | 0.909841i | −0.0489839 | + | 0.0411024i | ||||
\(491\) | −2.94749 | − | 16.7160i | −0.133018 | − | 0.754383i | −0.976219 | − | 0.216785i | \(-0.930443\pi\) |
0.843201 | − | 0.537598i | \(-0.180668\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.1984 | − | 19.4658i | −1.04480 | − | 0.876694i | ||||
\(494\) | −0.0404890 | + | 0.0701289i | −0.00182168 | + | 0.00315525i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.5158 | − | 21.6780i | −0.561976 | − | 0.973371i | ||||
\(497\) | −2.58967 | + | 14.6868i | −0.116163 | + | 0.658792i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −23.1598 | − | 8.42949i | −1.03678 | − | 0.377356i | −0.233119 | − | 0.972448i | \(-0.574893\pi\) |
−0.803657 | + | 0.595093i | \(0.797115\pi\) | |||||||
\(500\) | −27.4060 | − | 9.97496i | −1.22563 | − | 0.446094i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.271889 | − | 1.54196i | 0.0121350 | − | 0.0688210i | ||||
\(503\) | −20.0569 | − | 34.7395i | −0.894291 | − | 1.54896i | −0.834679 | − | 0.550736i | \(-0.814347\pi\) |
−0.0596120 | − | 0.998222i | \(-0.518986\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.4776 | + | 18.1478i | −0.466248 | + | 0.807564i | ||||
\(506\) | −2.15414 | − | 1.80754i | −0.0957632 | − | 0.0803548i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.11461 | − | 40.3489i | −0.315660 | − | 1.79019i | ||||
\(509\) | 3.79079 | − | 3.18085i | 0.168024 | − | 0.140989i | −0.554899 | − | 0.831918i | \(-0.687243\pi\) |
0.722922 | + | 0.690929i | \(0.242798\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.2477 | + | 4.45781i | −0.541808 | + | 0.197202i | ||||
\(512\) | 13.0229 | 0.575537 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.67785 | 0.0740066 | ||||||||
\(515\) | −33.0933 | + | 12.0450i | −1.45827 | + | 0.530765i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.11416 | + | 1.77399i | −0.0929807 | + | 0.0780201i | ||||
\(518\) | 0.451614 | + | 2.56123i | 0.0198428 | + | 0.112534i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.50401 | − | 1.26202i | −0.0659553 | − | 0.0553431i | ||||
\(521\) | −3.86979 | + | 6.70267i | −0.169539 | + | 0.293649i | −0.938258 | − | 0.345937i | \(-0.887561\pi\) |
0.768719 | + | 0.639586i | \(0.220894\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.0070 | − | 31.1891i | −0.787391 | − | 1.36380i | −0.927560 | − | 0.373674i | \(-0.878098\pi\) |
0.140169 | − | 0.990128i | \(-0.455236\pi\) | |||||||
\(524\) | 0.224360 | − | 1.27241i | 0.00980120 | − | 0.0555854i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.36516 | + | 1.58879i | 0.190330 | + | 0.0692745i | ||||
\(527\) | −28.4550 | − | 10.3568i | −1.23952 | − | 0.451148i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.39786 | − | 19.2702i | 0.147733 | − | 0.837835i | ||||
\(530\) | 2.85780 | + | 4.94986i | 0.124135 | + | 0.215008i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.82705 | + | 3.16455i | −0.0792129 | + | 0.137201i | ||||
\(533\) | −3.08319 | − | 2.58710i | −0.133548 | − | 0.112060i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.829386 | + | 4.70368i | 0.0358575 | + | 0.203358i | ||||
\(536\) | 0.637768 | − | 0.535151i | 0.0275474 | − | 0.0231150i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.90808 | + | 0.694484i | −0.0822631 | + | 0.0299413i | ||||
\(539\) | −5.45676 | −0.235039 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.4147 | −1.04967 | −0.524834 | − | 0.851204i | \(-0.675873\pi\) | ||||
−0.524834 | + | 0.851204i | \(0.675873\pi\) | |||||||
\(542\) | −0.0235000 | + | 0.00855331i | −0.00100941 | + | 0.000367396i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.20455 | − | 6.04534i | 0.308893 | − | 0.259192i | ||||
\(545\) | 4.80594 | + | 27.2558i | 0.205864 | + | 1.16751i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.7264 | − | 18.2306i | −0.928953 | − | 0.779484i | 0.0466761 | − | 0.998910i | \(-0.485137\pi\) |
−0.975629 | + | 0.219426i | \(0.929582\pi\) | |||||||
\(548\) | 8.45913 | − | 14.6516i | 0.361356 | − | 0.625887i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.93130 | + | 3.34512i | 0.0823511 | + | 0.142636i | ||||
\(551\) | 0.696003 | − | 3.94723i | 0.0296507 | − | 0.168158i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 33.5990 | + | 12.2290i | 1.42878 | + | 0.520032i | ||||
\(554\) | 0.164889 | + | 0.0600146i | 0.00700546 | + | 0.00254978i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.59993 | + | 26.0875i | −0.195081 | + | 1.10636i | ||||
\(557\) | 18.4687 | + | 31.9887i | 0.782542 | + | 1.35540i | 0.930456 | + | 0.366403i | \(0.119411\pi\) |
−0.147914 | + | 0.989000i | \(0.547256\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.13113 | − | 3.69123i | 0.0901372 | − | 0.156122i | ||||
\(560\) | −33.1591 | − | 27.8238i | −1.40123 | − | 1.17577i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.826901 | − | 4.68959i | −0.0348807 | − | 0.197818i | ||||
\(563\) | 17.4470 | − | 14.6398i | 0.735303 | − | 0.616992i | −0.196269 | − | 0.980550i | \(-0.562883\pi\) |
0.931572 | + | 0.363558i | \(0.118438\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 32.8368 | − | 11.9516i | 1.38145 | − | 0.502808i | ||||
\(566\) | −4.63625 | −0.194876 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.37833 | 0.141752 | ||||||||
\(569\) | −29.0071 | + | 10.5577i | −1.21604 | + | 0.442603i | −0.868796 | − | 0.495170i | \(-0.835106\pi\) |
−0.347247 | + | 0.937774i | \(0.612883\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.82107 | − | 8.24085i | 0.410999 | − | 0.344869i | −0.413728 | − | 0.910401i | \(-0.635773\pi\) |
0.824727 | + | 0.565532i | \(0.191329\pi\) | |||||||
\(572\) | −0.652213 | − | 3.69888i | −0.0272704 | − | 0.154658i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.11301 | + | 1.77303i | 0.0881955 | + | 0.0740048i | ||||
\(575\) | −29.2354 | + | 50.6372i | −1.21920 | + | 2.11172i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.7632 | + | 20.3745i | 0.489708 | + | 0.848200i | 0.999930 | − | 0.0118433i | \(-0.00376992\pi\) |
−0.510222 | + | 0.860043i | \(0.670437\pi\) | |||||||
\(578\) | 0.131265 | − | 0.744442i | 0.00545991 | − | 0.0309647i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 45.3150 | + | 16.4933i | 1.88160 | + | 0.684848i | ||||
\(581\) | −25.6839 | − | 9.34816i | −1.06555 | − | 0.387827i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.82622 | + | 21.6996i | −0.158466 | + | 0.898704i | ||||
\(584\) | 1.47628 | + | 2.55699i | 0.0610888 | + | 0.105809i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.61363 | + | 2.79489i | −0.0666584 | + | 0.115456i | ||||
\(587\) | 8.72329 | + | 7.31971i | 0.360049 | + | 0.302117i | 0.804810 | − | 0.593532i | \(-0.202267\pi\) |
−0.444762 | + | 0.895649i | \(0.646712\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.695954 | − | 3.94695i | −0.0286763 | − | 0.162631i | ||||
\(590\) | 5.86806 | − | 4.92389i | 0.241584 | − | 0.202713i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −17.8098 | + | 6.48224i | −0.731979 | + | 0.266419i | ||||
\(593\) | −37.7324 | −1.54948 | −0.774742 | − | 0.632277i | \(-0.782120\pi\) | ||||
−0.774742 | + | 0.632277i | \(0.782120\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −52.3640 | −2.14672 | ||||||||
\(596\) | 17.8130 | − | 6.48341i | 0.729650 | − | 0.265571i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.661483 | + | 0.555050i | −0.0270501 | + | 0.0226977i | ||||
\(599\) | 8.22366 | + | 46.6387i | 0.336010 | + | 1.90561i | 0.417028 | + | 0.908894i | \(0.363072\pi\) |
−0.0810181 | + | 0.996713i | \(0.525817\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.8297 | − | 19.9955i | −0.972033 | − | 0.815632i | 0.0108354 | − | 0.999941i | \(-0.496551\pi\) |
−0.982868 | + | 0.184309i | \(0.940995\pi\) | |||||||
\(602\) | −1.46054 | + | 2.52973i | −0.0595271 | + | 0.103104i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.02156 | − | 12.1617i | −0.285703 | − | 0.494853i | ||||
\(605\) | 3.10892 | − | 17.6316i | 0.126396 | − | 0.716825i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.7082 | − | 10.0850i | −1.12464 | − | 0.409336i | −0.288297 | − | 0.957541i | \(-0.593089\pi\) |
−0.836344 | + | 0.548205i | \(0.815311\pi\) | |||||||
\(608\) | 1.16970 | + | 0.425737i | 0.0474378 | + | 0.0172659i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.918868 | + | 5.21116i | −0.0372039 | + | 0.210994i | ||||
\(611\) | 0.423740 | + | 0.733939i | 0.0171427 | + | 0.0296920i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.05214 | − | 5.28646i | 0.123275 | − | 0.213518i | −0.797782 | − | 0.602945i | \(-0.793994\pi\) |
0.921057 | + | 0.389427i | \(0.127327\pi\) | |||||||
\(614\) | 4.47732 | + | 3.75692i | 0.180690 | + | 0.151617i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.900757 | + | 5.10844i | 0.0362925 | + | 0.205825i | ||||
\(617\) | −14.6469 | + | 12.2902i | −0.589660 | + | 0.494784i | −0.888103 | − | 0.459644i | \(-0.847977\pi\) |
0.298443 | + | 0.954427i | \(0.403533\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.34655 | − | 2.30995i | 0.255089 | − | 0.0928449i | −0.211310 | − | 0.977419i | \(-0.567773\pi\) |
0.466400 | + | 0.884574i | \(0.345551\pi\) | |||||||
\(620\) | 48.2198 | 1.93655 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.99994 | 0.240576 | ||||||||
\(623\) | −21.4757 | + | 7.81653i | −0.860408 | + | 0.313163i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.04818 | − | 6.75322i | 0.321927 | − | 0.270129i | ||||
\(626\) | 0.100335 | + | 0.569027i | 0.00401019 | + | 0.0227429i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.5991 | − | 9.73282i | −0.462855 | − | 0.388382i | ||||
\(629\) | −11.4638 | + | 19.8559i | −0.457091 | + | 0.791705i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.228453 | + | 0.395693i | 0.00909458 | + | 0.0157523i | 0.870537 | − | 0.492103i | \(-0.163772\pi\) |
−0.861442 | + | 0.507855i | \(0.830438\pi\) | |||||||
\(632\) | 1.40650 | − | 7.97663i | 0.0559474 | − | 0.317294i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.04420 | − | 1.83594i | −0.200331 | − | 0.0729145i | ||||
\(635\) | 73.0222 | + | 26.5779i | 2.89780 | + | 1.05471i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.290971 | + | 1.65018i | −0.0115287 | + | 0.0653825i | ||||
\(638\) | −1.41173 | − | 2.44519i | −0.0558909 | − | 0.0968058i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.95805 | + | 17.2479i | −0.393627 | + | 0.681781i | ||||
\(641\) | 2.19934 | + | 1.84546i | 0.0868686 | + | 0.0728914i | 0.685188 | − | 0.728366i | \(-0.259720\pi\) |
−0.598319 | + | 0.801258i | \(0.704165\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.295696 | − | 1.67697i | −0.0116611 | − | 0.0661334i | 0.978422 | − | 0.206617i | \(-0.0662454\pi\) |
−0.990083 | + | 0.140484i | \(0.955134\pi\) | |||||||
\(644\) | −29.8493 | + | 25.0465i | −1.17623 | + | 0.986971i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.459744 | − | 0.167333i | 0.0180884 | − | 0.00658363i | ||||
\(647\) | −36.1004 | −1.41925 | −0.709626 | − | 0.704579i | \(-0.751136\pi\) | ||||
−0.709626 | + | 0.704579i | \(0.751136\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.5310 | 1.15919 | ||||||||
\(650\) | 1.11458 | − | 0.405674i | 0.0437175 | − | 0.0159119i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.58085 | + | 1.32649i | −0.0619110 | + | 0.0519495i | ||||
\(653\) | 7.56550 | + | 42.9061i | 0.296061 | + | 1.67904i | 0.662859 | + | 0.748744i | \(0.269343\pi\) |
−0.366798 | + | 0.930301i | \(0.619546\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.87723 | + | 1.57518i | 0.0733494 | + | 0.0615475i | ||||
\(656\) | −10.0507 | + | 17.4083i | −0.392412 | + | 0.679678i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.290404 | − | 0.502994i | −0.0113211 | − | 0.0196087i | ||||
\(659\) | −4.42473 | + | 25.0939i | −0.172363 | + | 0.977518i | 0.768781 | + | 0.639512i | \(0.220864\pi\) |
−0.941144 | + | 0.338006i | \(0.890248\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.1067 | − | 11.6859i | −1.24880 | − | 0.454528i | −0.368807 | − | 0.929506i | \(-0.620234\pi\) |
−0.879998 | + | 0.474978i | \(0.842456\pi\) | |||||||
\(662\) | −0.531792 | − | 0.193557i | −0.0206687 | − | 0.00752279i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.07516 | + | 6.09753i | −0.0417242 | + | 0.236630i | ||||
\(665\) | −3.46529 | − | 6.00207i | −0.134378 | − | 0.232750i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.3702 | − | 37.0143i | 0.827459 | − | 1.43320i | ||||
\(668\) | −12.6077 | − | 10.5791i | −0.487807 | − | 0.409319i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.136067 | + | 0.771673i | 0.00525672 | + | 0.0298123i | ||||
\(671\) | −15.6269 | + | 13.1126i | −0.603271 | + | 0.506205i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 27.7620 | − | 10.1045i | 1.07015 | − | 0.389502i | 0.253916 | − | 0.967226i | \(-0.418281\pi\) |
0.816232 | + | 0.577725i | \(0.196059\pi\) | |||||||
\(674\) | 1.10113 | 0.0424140 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.4577 | 0.940680 | ||||||||
\(677\) | 38.3209 | − | 13.9477i | 1.47279 | − | 0.536052i | 0.523935 | − | 0.851759i | \(-0.324464\pi\) |
0.948857 | + | 0.315706i | \(0.102241\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.20233 | + | 1.84797i | −0.0845176 | + | 0.0709186i | ||||
\(680\) | 2.05983 | + | 11.6819i | 0.0789908 | + | 0.447979i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.16274 | − | 1.81475i | −0.0828156 | − | 0.0694905i | ||||
\(683\) | 15.8213 | − | 27.4033i | 0.605384 | − | 1.04856i | −0.386606 | − | 0.922245i | \(-0.626353\pi\) |
0.991991 | − | 0.126312i | \(-0.0403139\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0441 | + | 27.7891i | 0.613012 | + | 1.06177i | ||||
\(686\) | −0.437986 | + | 2.48394i | −0.0167224 | + | 0.0948373i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −20.0035 | − | 7.28066i | −0.762624 | − | 0.277573i | ||||
\(689\) | 6.35814 | + | 2.31418i | 0.242226 | + | 0.0881631i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.96369 | + | 28.1505i | −0.188828 | + | 1.07090i | 0.732110 | + | 0.681186i | \(0.238536\pi\) |
−0.920938 | + | 0.389709i | \(0.872576\pi\) | |||||||
\(692\) | 21.5190 | + | 37.2719i | 0.818028 | + | 1.41687i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.760438 | + | 1.31712i | −0.0288658 | + | 0.0499971i | ||||
\(695\) | −38.4879 | − | 32.2952i | −1.45993 | − | 1.22503i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.22259 | + | 23.9475i | 0.159942 | + | 0.907077i | ||||
\(698\) | 1.90813 | − | 1.60111i | 0.0722239 | − | 0.0606031i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 50.2952 | − | 18.3060i | 1.90098 | − | 0.691901i | ||||
\(701\) | 7.52982 | 0.284397 | 0.142199 | − | 0.989838i | \(-0.454583\pi\) | ||||
0.142199 | + | 0.989838i | \(0.454583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.03455 | −0.114450 | ||||||||
\(704\) | −17.0710 | + | 6.21332i | −0.643386 | + | 0.234173i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.39930 | + | 3.69145i | −0.165570 | + | 0.138930i | ||||
\(707\) | −2.95221 | − | 16.7428i | −0.111029 | − | 0.629679i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.13907 | + | 5.15129i | 0.230558 | + | 0.193461i | 0.750746 | − | 0.660590i | \(-0.229694\pi\) |
−0.520189 | + | 0.854051i | \(0.674138\pi\) | |||||||
\(710\) | −1.58981 | + | 2.75363i | −0.0596646 | + | 0.103342i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.58857 | + | 4.48354i | 0.0970108 | + | 0.168028i | ||||
\(713\) | 7.42128 | − | 42.0882i | 0.277929 | − | 1.57621i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.69412 | + | 2.43646i | 0.250346 | + | 0.0911184i | ||||
\(716\) | −16.8256 | − | 6.12400i | −0.628801 | − | 0.228865i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.148537 | + | 0.842396i | −0.00554335 | + | 0.0314379i | ||||
\(719\) | 13.4913 | + | 23.3676i | 0.503140 | + | 0.871464i | 0.999993 | + | 0.00362928i | \(0.00115524\pi\) |
−0.496854 | + | 0.867834i | \(0.665511\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.2860 | − | 24.7440i | 0.532037 | − | 0.921515i | ||||
\(722\) | −2.46803 | − | 2.07093i | −0.0918507 | − | 0.0770719i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.43944 | + | 13.8348i | 0.0906611 | + | 0.514165i | ||||
\(725\) | −44.9733 | + | 37.7371i | −1.67027 | + | 1.40152i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.8082 | − | 5.02576i | 0.512116 | − | 0.186395i | −0.0730194 | − | 0.997331i | \(-0.523263\pi\) |
0.585136 | + | 0.810935i | \(0.301041\pi\) | |||||||
\(728\) | 1.59288 | 0.0590360 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.77889 | −0.102851 | ||||||||
\(731\) | −24.1985 | + | 8.80755i | −0.895015 | + | 0.325759i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −24.0107 | + | 20.1474i | −0.886856 | + | 0.744161i | −0.967577 | − | 0.252576i | \(-0.918722\pi\) |
0.0807207 | + | 0.996737i | \(0.474278\pi\) | |||||||
\(734\) | −0.0748657 | − | 0.424584i | −0.00276334 | − | 0.0156717i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.1682 | + | 8.53210i | 0.374803 | + | 0.314497i | ||||
\(737\) | −1.51039 | + | 2.61607i | −0.0556359 | + | 0.0963642i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.241454 | − | 0.418211i | −0.00888205 | − | 0.0153842i | 0.861550 | − | 0.507672i | \(-0.169494\pi\) |
−0.870432 | + | 0.492288i | \(0.836161\pi\) | |||||||
\(740\) | 6.33987 | − | 35.9552i | 0.233058 | − | 1.32174i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.35746 | − | 1.58598i | −0.159967 | − | 0.0582233i | ||||
\(743\) | 40.4545 | + | 14.7242i | 1.48413 | + | 0.540179i | 0.951897 | − | 0.306418i | \(-0.0991307\pi\) |
0.532233 | + | 0.846598i | \(0.321353\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.24325 | + | 35.4072i | −0.228735 | + | 1.29722i | ||||
\(746\) | 2.42578 | + | 4.20157i | 0.0888140 | + | 0.153830i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.3462 | + | 19.6523i | −0.414860 | + | 0.718558i | ||||
\(749\) | −2.96842 | − | 2.49080i | −0.108464 | − | 0.0910119i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.62691 | + | 43.2543i | 0.278310 | + | 1.57837i | 0.728248 | + | 0.685314i | \(0.240335\pi\) |
−0.449938 | + | 0.893060i | \(0.648554\pi\) | |||||||
\(752\) | 3.24237 | − | 2.72067i | 0.118237 | − | 0.0992126i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.814727 | + | 0.296536i | −0.0296706 | + | 0.0107992i | ||||
\(755\) | 26.6350 | 0.969346 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.4143 | 0.814661 | 0.407331 | − | 0.913281i | \(-0.366460\pi\) | ||||
0.407331 | + | 0.913281i | \(0.366460\pi\) | |||||||
\(758\) | −0.835463 | + | 0.304084i | −0.0303454 | + | 0.0110448i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.20268 | + | 1.00917i | −0.0436260 | + | 0.0366065i | ||||
\(761\) | 1.73592 | + | 9.84487i | 0.0629269 | + | 0.356876i | 0.999971 | + | 0.00766415i | \(0.00243960\pi\) |
−0.937044 | + | 0.349212i | \(0.886449\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.2007 | − | 14.4331i | −0.622708 | − | 0.522514i | ||||
\(764\) | 11.7768 | − | 20.3980i | 0.426069 | − | 0.737972i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.00386367 | − | 0.00669207i | −0.000139600 | − | 0.000241794i | ||||
\(767\) | 1.57468 | − | 8.93047i | 0.0568585 | − | 0.322461i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.04412 | + | 2.56385i | 0.254017 | + | 0.0924547i | 0.465890 | − | 0.884842i | \(-0.345734\pi\) |
−0.211873 | + | 0.977297i | \(0.567956\pi\) | |||||||
\(770\) | −4.58771 | − | 1.66979i | −0.165330 | − | 0.0601751i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.03568 | − | 17.2162i | 0.109256 | − | 0.619624i | ||||
\(773\) | −9.91954 | − | 17.1812i | −0.356781 | − | 0.617963i | 0.630640 | − | 0.776076i | \(-0.282793\pi\) |
−0.987421 | + | 0.158112i | \(0.949459\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.3521 | + | 50.8394i | −1.05436 | + | 1.82620i | ||||
\(776\) | 0.498895 | + | 0.418623i | 0.0179093 | + | 0.0150277i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.630243 | − | 3.57429i | −0.0225953 | − | 0.128144i | <