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 | 649.1 | ||
Root | \(0.0878222i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.649 |
Dual form | 729.2.e.l.82.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0300370 | + | 0.170348i | −0.0212393 | + | 0.120454i | −0.993584 | − | 0.113096i | \(-0.963923\pi\) |
0.972345 | + | 0.233550i | \(0.0750343\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.85127 | + | 0.673807i | 0.925635 | + | 0.336903i | ||||
\(5\) | 2.86237 | − | 2.40182i | 1.28009 | − | 1.07412i | 0.286861 | − | 0.957972i | \(-0.407388\pi\) |
0.993231 | − | 0.116153i | \(-0.0370561\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.84868 | + | 1.03683i | −1.07670 | + | 0.391886i | −0.818678 | − | 0.574253i | \(-0.805292\pi\) |
−0.258021 | + | 0.966139i | \(0.583070\pi\) | |||||||
\(8\) | −0.343364 | + | 0.594724i | −0.121398 | + | 0.210267i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.323168 | + | 0.559743i | 0.102195 | + | 0.177006i | ||||
\(11\) | 1.90875 | + | 1.60163i | 0.575510 | + | 0.482910i | 0.883469 | − | 0.468490i | \(-0.155202\pi\) |
−0.307959 | + | 0.951400i | \(0.599646\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.132865 | − | 0.753515i | −0.0368501 | − | 0.208987i | 0.960823 | − | 0.277162i | \(-0.0893937\pi\) |
−0.997673 | + | 0.0681742i | \(0.978283\pi\) | |||||||
\(14\) | −0.0910570 | − | 0.516410i | −0.0243360 | − | 0.138016i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.92734 | + | 2.45633i | 0.731835 | + | 0.614083i | ||||
\(17\) | 2.31139 | + | 4.00345i | 0.560595 | + | 0.970979i | 0.997445 | + | 0.0714442i | \(0.0227608\pi\) |
−0.436850 | + | 0.899534i | \(0.643906\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.305922 | − | 0.529872i | 0.0701833 | − | 0.121561i | −0.828798 | − | 0.559548i | \(-0.810975\pi\) |
0.898982 | + | 0.437987i | \(0.144308\pi\) | |||||||
\(20\) | 6.91738 | − | 2.51772i | 1.54677 | − | 0.562980i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.330168 | + | 0.277044i | −0.0703920 | + | 0.0590659i | ||||
\(23\) | 6.13091 | + | 2.23147i | 1.27838 | + | 0.465293i | 0.889897 | − | 0.456161i | \(-0.150776\pi\) |
0.388486 | + | 0.921455i | \(0.372998\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.55622 | − | 8.82575i | 0.311244 | − | 1.76515i | ||||
\(26\) | 0.132351 | 0.0259561 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.97229 | −1.12866 | ||||||||
\(29\) | 1.13755 | − | 6.45137i | 0.211238 | − | 1.19799i | −0.676079 | − | 0.736829i | \(-0.736322\pi\) |
0.887317 | − | 0.461160i | \(-0.152567\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.15539 | − | 2.24038i | −1.10554 | − | 0.402384i | −0.276184 | − | 0.961105i | \(-0.589070\pi\) |
−0.829356 | + | 0.558721i | \(0.811292\pi\) | |||||||
\(32\) | −1.55849 | + | 1.30773i | −0.275504 | + | 0.231176i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.751407 | + | 0.273490i | −0.128865 | + | 0.0469031i | ||||
\(35\) | −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 | \(0.966997\pi\) | |||||||
\(38\) | 0.0810738 | + | 0.0680290i | 0.0131519 | + | 0.0110358i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.445582 | + | 2.52702i | 0.0704527 | + | 0.399557i | ||||
\(41\) | −0.913431 | − | 5.18032i | −0.142654 | − | 0.809031i | −0.969221 | − | 0.246192i | \(-0.920820\pi\) |
0.826567 | − | 0.562838i | \(-0.190291\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.26731 | + | 3.58070i | 0.650758 | + | 0.546051i | 0.907301 | − | 0.420482i | \(-0.138139\pi\) |
−0.256543 | + | 0.966533i | \(0.582583\pi\) | |||||||
\(44\) | 2.45442 | + | 4.25118i | 0.370018 | + | 0.640889i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.564280 | + | 0.977362i | −0.0831986 | + | 0.144104i | ||||
\(47\) | 1.04082 | − | 0.378827i | 0.151819 | − | 0.0552576i | −0.264993 | − | 0.964250i | \(-0.585370\pi\) |
0.416812 | + | 0.908993i | \(0.363147\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.67762 | − | 1.40769i | 0.239660 | − | 0.201099i | ||||
\(50\) | 1.45670 | + | 0.530197i | 0.206009 | + | 0.0749812i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.261754 | − | 1.48448i | 0.0362988 | − | 0.205861i | ||||
\(53\) | −8.84310 | −1.21469 | −0.607346 | − | 0.794437i | \(-0.707766\pi\) | ||||
−0.607346 | + | 0.794437i | \(0.707766\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.31038 | 1.25541 | ||||||||
\(56\) | 0.361503 | − | 2.05019i | 0.0483079 | − | 0.273968i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.06481 | + | 0.387559i | 0.139816 | + | 0.0508890i | ||||
\(59\) | 9.07897 | − | 7.61816i | 1.18198 | − | 0.991800i | 0.182018 | − | 0.983295i | \(-0.441737\pi\) |
0.999964 | − | 0.00850504i | \(-0.00270727\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.69327 | + | 2.80012i | −0.985022 | + | 0.358519i | −0.783791 | − | 0.621025i | \(-0.786716\pi\) |
−0.201231 | + | 0.979544i | \(0.564494\pi\) | |||||||
\(62\) | 0.566533 | − | 0.981264i | 0.0719498 | − | 0.124621i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.64541 | + | 6.31404i | 0.455677 | + | 0.789255i | ||||
\(65\) | −2.19011 | − | 1.83772i | −0.271650 | − | 0.227941i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.210520 | − | 1.19392i | −0.0257192 | − | 0.145861i | 0.969244 | − | 0.246102i | \(-0.0791497\pi\) |
−0.994963 | + | 0.100241i | \(0.968039\pi\) | |||||||
\(68\) | 1.58146 | + | 8.96889i | 0.191780 | + | 1.08764i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.50096 | − | 1.25946i | −0.179399 | − | 0.150534i | ||||
\(71\) | −2.45973 | − | 4.26038i | −0.291916 | − | 0.505614i | 0.682346 | − | 0.731029i | \(-0.260960\pi\) |
−0.974263 | + | 0.225415i | \(0.927626\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.14972 | + | 3.72343i | −0.251606 | + | 0.435795i | −0.963968 | − | 0.266017i | \(-0.914292\pi\) |
0.712362 | + | 0.701812i | \(0.247625\pi\) | |||||||
\(74\) | 0.806169 | − | 0.293421i | 0.0937152 | − | 0.0341095i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.923375 | − | 0.774804i | 0.105918 | − | 0.0888761i | ||||
\(77\) | −7.09803 | − | 2.58347i | −0.808896 | − | 0.294414i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.04811 | + | 11.6154i | −0.230431 | + | 1.30684i | 0.621596 | + | 0.783338i | \(0.286485\pi\) |
−0.852027 | + | 0.523499i | \(0.824627\pi\) | |||||||
\(80\) | 14.2788 | 1.59642 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.909895 | 0.100481 | ||||||||
\(83\) | −1.56562 | + | 8.87910i | −0.171850 | + | 0.974608i | 0.769868 | + | 0.638203i | \(0.220322\pi\) |
−0.941718 | + | 0.336404i | \(0.890789\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 16.2316 | + | 5.90782i | 1.76057 | + | 0.640793i | ||||
\(86\) | −0.738141 | + | 0.619374i | −0.0795958 | + | 0.0667888i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.60792 | + | 0.585237i | −0.171405 | + | 0.0623865i | ||||
\(89\) | 3.76943 | − | 6.52884i | 0.399558 | − | 0.692055i | −0.594113 | − | 0.804382i | \(-0.702497\pi\) |
0.993671 | + | 0.112326i | \(0.0358302\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.15976 | + | 2.00876i | 0.121576 | + | 0.210575i | ||||
\(92\) | 9.84638 | + | 8.26210i | 1.02656 | + | 0.861383i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0332694 | + | 0.188680i | 0.00343148 | + | 0.0194609i | ||||
\(95\) | −0.396993 | − | 2.25146i | −0.0407306 | − | 0.230995i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.726481 | − | 0.609590i | −0.0737630 | − | 0.0618945i | 0.605161 | − | 0.796103i | \(-0.293109\pi\) |
−0.678924 | + | 0.734209i | \(0.737553\pi\) | |||||||
\(98\) | 0.189407 | + | 0.328062i | 0.0191330 | + | 0.0331393i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.82783 | − | 15.2902i | 0.882783 | − | 1.52902i | ||||
\(101\) | −5.26994 | + | 1.91810i | −0.524379 | + | 0.190858i | −0.590627 | − | 0.806945i | \(-0.701119\pi\) |
0.0662479 | + | 0.997803i | \(0.478897\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.21998 | + | 6.05829i | −0.711406 | + | 0.596941i | −0.924993 | − | 0.379983i | \(-0.875930\pi\) |
0.213587 | + | 0.976924i | \(0.431485\pi\) | |||||||
\(104\) | 0.493754 | + | 0.179712i | 0.0484166 | + | 0.0176222i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.265620 | − | 1.50640i | 0.0257993 | − | 0.146315i | ||||
\(107\) | 1.27825 | 0.123573 | 0.0617864 | − | 0.998089i | \(-0.480320\pi\) | ||||
0.0617864 | + | 0.998089i | \(0.480320\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.40689 | −0.709451 | −0.354726 | − | 0.934970i | \(-0.615426\pi\) | ||||
−0.354726 | + | 0.934970i | \(0.615426\pi\) | |||||||
\(110\) | −0.279655 | + | 1.58600i | −0.0266641 | + | 0.151220i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.8858 | − | 3.96212i | −1.02862 | − | 0.374386i | ||||
\(113\) | −7.16402 | + | 6.01133i | −0.673934 | + | 0.565498i | −0.914227 | − | 0.405203i | \(-0.867201\pi\) |
0.240293 | + | 0.970700i | \(0.422757\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 22.9085 | − | 8.33802i | 2.13623 | − | 0.777524i | ||||
\(116\) | 6.45289 | − | 11.1767i | 0.599136 | − | 1.03773i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.02503 | + | 1.77541i | 0.0943621 | + | 0.163440i | ||||
\(119\) | −10.7353 | − | 9.00800i | −0.984105 | − | 0.825762i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.832027 | − | 4.71866i | −0.0756388 | − | 0.428969i | ||||
\(122\) | −0.245913 | − | 1.39464i | −0.0222639 | − | 0.126265i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.88569 | − | 8.29508i | −0.887762 | − | 0.744920i | ||||
\(125\) | −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 | \(0.792636\pi\) | |||||||
\(128\) | −5.00862 | + | 1.82299i | −0.442704 | + | 0.161131i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.378837 | − | 0.317882i | 0.0332262 | − | 0.0278801i | ||||
\(131\) | −0.616278 | − | 0.224307i | −0.0538445 | − | 0.0195978i | 0.314958 | − | 0.949106i | \(-0.398010\pi\) |
−0.368802 | + | 0.929508i | \(0.620232\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.322083 | + | 1.82662i | −0.0279282 | + | 0.158388i | ||||
\(134\) | 0.209705 | 0.0181158 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.17460 | −0.272219 | ||||||||
\(137\) | −1.49122 | + | 8.45714i | −0.127404 | + | 0.722542i | 0.852447 | + | 0.522813i | \(0.175117\pi\) |
−0.979851 | + | 0.199729i | \(0.935994\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.6352 | − | 4.59885i | −1.07171 | − | 0.390069i | −0.254892 | − | 0.966969i | \(-0.582040\pi\) |
−0.816815 | + | 0.576900i | \(0.804262\pi\) | |||||||
\(140\) | −17.0949 | + | 14.3443i | −1.44478 | + | 1.21232i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.799630 | − | 0.291042i | 0.0671035 | − | 0.0244237i | ||||
\(143\) | 0.953247 | − | 1.65107i | 0.0797145 | − | 0.138070i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2389 | − | 21.1984i | −1.01639 | − | 1.76043i | ||||
\(146\) | −0.569708 | − | 0.478042i | −0.0471494 | − | 0.0395630i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.69671 | − | 9.62254i | −0.139469 | − | 0.790968i | ||||
\(149\) | −1.67085 | − | 9.47589i | −0.136882 | − | 0.776295i | −0.973531 | − | 0.228556i | \(-0.926600\pi\) |
0.836649 | − | 0.547739i | \(-0.184511\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.46052 | − | 4.58192i | −0.444371 | − | 0.372871i | 0.392971 | − | 0.919551i | \(-0.371447\pi\) |
−0.837342 | + | 0.546679i | \(0.815892\pi\) | |||||||
\(152\) | 0.210085 | + | 0.363878i | 0.0170402 | + | 0.0295144i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.653293 | − | 1.13154i | 0.0526439 | − | 0.0911818i | ||||
\(155\) | −23.0000 | + | 8.37131i | −1.84740 | + | 0.672400i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.88764 | − | 4.94032i | 0.469885 | − | 0.394280i | −0.376868 | − | 0.926267i | \(-0.622999\pi\) |
0.846753 | + | 0.531987i | \(0.178554\pi\) | |||||||
\(158\) | −1.91714 | − | 0.697784i | −0.152520 | − | 0.0555127i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.32005 | + | 7.48640i | −0.104360 | + | 0.591852i | ||||
\(161\) | −19.7786 | −1.55877 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.04750 | 0.0820465 | 0.0410232 | − | 0.999158i | \(-0.486938\pi\) | ||||
0.0410232 | + | 0.999158i | \(0.486938\pi\) | |||||||
\(164\) | 1.79953 | − | 10.2056i | 0.140520 | − | 0.796927i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.46551 | − | 0.533402i | −0.113746 | − | 0.0414000i | ||||
\(167\) | −6.39959 | + | 5.36990i | −0.495215 | + | 0.415535i | −0.855891 | − | 0.517156i | \(-0.826991\pi\) |
0.360676 | + | 0.932691i | \(0.382546\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.6659 | − | 4.24603i | 0.897375 | − | 0.326618i | ||||
\(170\) | −1.49393 | + | 2.58757i | −0.114580 | + | 0.198458i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.48724 | + | 9.50417i | 0.418398 | + | 0.724686i | ||||
\(173\) | −16.7348 | − | 14.0422i | −1.27233 | − | 1.06761i | −0.994254 | − | 0.107049i | \(-0.965860\pi\) |
−0.278073 | − | 0.960560i | \(-0.589696\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.71767 | + | 26.7552i | 0.356622 | + | 2.02251i | ||||
\(176\) | 1.65343 | + | 9.37704i | 0.124632 | + | 0.706821i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.998953 | + | 0.838221i | 0.0748747 | + | 0.0628273i | ||||
\(179\) | −4.54433 | − | 7.87101i | −0.339659 | − | 0.588307i | 0.644709 | − | 0.764428i | \(-0.276978\pi\) |
−0.984369 | + | 0.176121i | \(0.943645\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.56539 | − | 6.17543i | 0.265013 | − | 0.459016i | −0.702554 | − | 0.711630i | \(-0.747957\pi\) |
0.967567 | + | 0.252614i | \(0.0812904\pi\) | |||||||
\(182\) | −0.377024 | + | 0.137225i | −0.0279469 | + | 0.0101718i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.43224 | + | 2.87999i | −0.253028 | + | 0.212316i | ||||
\(185\) | −17.4146 | − | 6.33838i | −1.28034 | − | 0.466007i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.00018 | + | 11.3436i | −0.146268 | + | 0.829525i | ||||
\(188\) | 2.18209 | 0.159145 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.395456 | 0.0286894 | ||||||||
\(191\) | −2.07607 | + | 11.7740i | −0.150219 | + | 0.851936i | 0.812808 | + | 0.582532i | \(0.197938\pi\) |
−0.963027 | + | 0.269404i | \(0.913173\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.33849 | + | 3.03496i | 0.600218 | + | 0.218461i | 0.624218 | − | 0.781251i | \(-0.285418\pi\) |
−0.0239999 | + | 0.999712i | \(0.507640\pi\) | |||||||
\(194\) | 0.125664 | − | 0.105444i | 0.00902214 | − | 0.00757047i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.05424 | − | 1.47562i | 0.289589 | − | 0.105402i | ||||
\(197\) | 3.69895 | − | 6.40677i | 0.263539 | − | 0.456464i | −0.703641 | − | 0.710556i | \(-0.748443\pi\) |
0.967180 | + | 0.254093i | \(0.0817768\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.19187 | + | 8.99259i | 0.368042 | + | 0.637468i | 0.989259 | − | 0.146171i | \(-0.0466948\pi\) |
−0.621217 | + | 0.783638i | \(0.713362\pi\) | |||||||
\(200\) | 4.71454 | + | 3.95597i | 0.333368 | + | 0.279729i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.168452 | − | 0.955338i | −0.0118522 | − | 0.0672174i | ||||
\(203\) | 3.44848 | + | 19.5573i | 0.242036 | + | 1.37265i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.0568 | − | 12.6341i | −1.05161 | − | 0.882406i | ||||
\(206\) | −0.815151 | − | 1.41188i | −0.0567942 | − | 0.0983705i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.46194 | − | 2.53215i | 0.101367 | − | 0.175573i | ||||
\(209\) | 1.43259 | − | 0.521420i | 0.0990942 | − | 0.0360674i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.9806 | − | 13.4093i | 1.10015 | − | 0.923133i | 0.102712 | − | 0.994711i | \(-0.467248\pi\) |
0.997435 | + | 0.0715777i | \(0.0228034\pi\) | |||||||
\(212\) | −16.3710 | − | 5.95854i | −1.12436 | − | 0.409234i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.0383946 | + | 0.217747i | −0.00262460 | + | 0.0148849i | ||||
\(215\) | 20.8148 | 1.41956 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.8576 | 1.34802 | ||||||||
\(218\) | 0.222480 | − | 1.26175i | 0.0150683 | − | 0.0854564i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 17.2360 | + | 6.27340i | 1.16205 | + | 0.422952i | ||||
\(221\) | 2.70955 | − | 2.27358i | 0.182264 | − | 0.152938i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.1565 | + | 8.06432i | −1.48371 | + | 0.540027i | −0.951786 | − | 0.306764i | \(-0.900754\pi\) |
−0.531926 | + | 0.846791i | \(0.678531\pi\) | |||||||
\(224\) | 3.08373 | − | 5.34118i | 0.206041 | − | 0.356873i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.808832 | − | 1.40094i | −0.0538027 | − | 0.0931890i | ||||
\(227\) | 8.03131 | + | 6.73907i | 0.533057 | + | 0.447288i | 0.869155 | − | 0.494539i | \(-0.164663\pi\) |
−0.336099 | + | 0.941827i | \(0.609108\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.41066 | − | 13.6715i | −0.159301 | − | 0.903439i | −0.954748 | − | 0.297416i | \(-0.903875\pi\) |
0.795447 | − | 0.606023i | \(-0.207236\pi\) | |||||||
\(230\) | 0.732263 | + | 4.15287i | 0.0482840 | + | 0.273832i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.44619 | + | 2.89170i | 0.226254 | + | 0.189849i | ||||
\(233\) | 3.79982 | + | 6.58149i | 0.248935 | + | 0.431167i | 0.963230 | − | 0.268676i | \(-0.0865862\pi\) |
−0.714296 | + | 0.699844i | \(0.753253\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.06934 | − | 3.58420i | 0.134989 | − | 0.233807i | ||||
\(236\) | 21.9408 | − | 7.98579i | 1.42822 | − | 0.519831i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.85695 | − | 1.55817i | 0.120368 | − | 0.101001i | ||||
\(239\) | 15.5601 | + | 5.66340i | 1.00650 | + | 0.366335i | 0.792087 | − | 0.610408i | \(-0.208995\pi\) |
0.214411 | + | 0.976744i | \(0.431217\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.52111 | + | 14.2979i | −0.162399 | + | 0.921010i | 0.789307 | + | 0.613999i | \(0.210440\pi\) |
−0.951706 | + | 0.307011i | \(0.900671\pi\) | |||||||
\(242\) | 0.828806 | 0.0532776 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.1290 | −1.03256 | ||||||||
\(245\) | 1.42096 | − | 8.05867i | 0.0907819 | − | 0.514850i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.439913 | − | 0.160115i | −0.0279910 | − | 0.0101879i | ||||
\(248\) | 3.44595 | − | 2.89149i | 0.218818 | − | 0.183610i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.40629 | − | 0.875816i | 0.152187 | − | 0.0553915i | ||||
\(251\) | 4.52591 | − | 7.83910i | 0.285673 | − | 0.494800i | −0.687099 | − | 0.726563i | \(-0.741116\pi\) |
0.972772 | + | 0.231764i | \(0.0744497\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.12838 | + | 14.0788i | 0.511027 | + | 0.885125i | ||||
\(254\) | −2.75573 | − | 2.31233i | −0.172910 | − | 0.145089i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.37198 | + | 13.4522i | 0.148249 | + | 0.840760i | ||||
\(257\) | −1.68437 | − | 9.55251i | −0.105068 | − | 0.595870i | −0.991193 | − | 0.132424i | \(-0.957724\pi\) |
0.886125 | − | 0.463446i | \(-0.153387\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.5177 | + | 9.66449i | 0.715675 | + | 0.600522i | ||||
\(260\) | −2.81622 | − | 4.87783i | −0.174654 | − | 0.302510i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0567214 | − | 0.0982443i | 0.00350426 | − | 0.00606955i | ||||
\(263\) | −25.2357 | + | 9.18503i | −1.55610 | + | 0.566373i | −0.969838 | − | 0.243749i | \(-0.921623\pi\) |
−0.586260 | + | 0.810123i | \(0.699400\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −25.3122 | + | 21.2395i | −1.55492 | + | 1.30473i | ||||
\(266\) | −0.301488 | − | 0.109732i | −0.0184854 | − | 0.00672813i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.414742 | − | 2.35212i | 0.0253344 | − | 0.143678i | ||||
\(269\) | −11.7388 | −0.715729 | −0.357865 | − | 0.933774i | \(-0.616495\pi\) | ||||
−0.357865 | + | 0.933774i | \(0.616495\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.144576 | 0.00878238 | 0.00439119 | − | 0.999990i | \(-0.498602\pi\) | ||||
0.00439119 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(272\) | −3.06756 | + | 17.3970i | −0.185998 | + | 1.05485i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.39587 | − | 0.508053i | −0.0843273 | − | 0.0306926i | ||||
\(275\) | 17.1060 | − | 14.3537i | 1.03153 | − | 0.865558i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.953248 | − | 0.346954i | 0.0572751 | − | 0.0208464i | −0.313224 | − | 0.949679i | \(-0.601409\pi\) |
0.370499 | + | 0.928833i | \(0.379187\pi\) | |||||||
\(278\) | 1.16293 | − | 2.01425i | 0.0697479 | − | 0.120807i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.88942 | − | 6.73667i | −0.232437 | − | 0.402593i | ||||
\(281\) | 21.0888 | + | 17.6956i | 1.25805 | + | 1.05563i | 0.995887 | + | 0.0906075i | \(0.0288809\pi\) |
0.262165 | + | 0.965023i | \(0.415564\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.65427 | − | 26.3957i | −0.276668 | − | 1.56906i | −0.733614 | − | 0.679566i | \(-0.762168\pi\) |
0.456946 | − | 0.889494i | \(-0.348943\pi\) | |||||||
\(284\) | −1.68295 | − | 9.54449i | −0.0998648 | − | 0.566361i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.252624 | + | 0.211977i | 0.0149380 | + | 0.0125345i | ||||
\(287\) | 7.97320 | + | 13.8100i | 0.470643 | + | 0.815178i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.18506 | + | 3.78464i | −0.128533 | + | 0.222626i | ||||
\(290\) | 3.97873 | − | 1.44814i | 0.233639 | − | 0.0850376i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6.48859 | + | 5.44458i | −0.379716 | + | 0.318620i | ||||
\(293\) | 17.5321 | + | 6.38116i | 1.02424 | + | 0.372791i | 0.798883 | − | 0.601486i | \(-0.205424\pi\) |
0.225352 | + | 0.974277i | \(0.427647\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.68998 | − | 43.6120i | 0.447728 | − | 2.53919i | ||||
\(296\) | 3.40596 | 0.197967 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.66439 | 0.0964153 | ||||||||
\(299\) | 0.866861 | − | 4.91621i | 0.0501319 | − | 0.284312i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.8688 | − | 5.77576i | −0.914660 | − | 0.332909i | ||||
\(302\) | 0.944539 | − | 0.792562i | 0.0543521 | − | 0.0456068i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.19708 | − | 0.799671i | 0.126011 | − | 0.0458643i | ||||
\(305\) | −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 | \(-0.581269\pi\) | |||||||
\(308\) | −11.3996 | − | 9.56541i | −0.649553 | − | 0.545040i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.735187 | − | 4.16945i | −0.0417558 | − | 0.236809i | ||||
\(311\) | −6.02326 | − | 34.1596i | −0.341548 | − | 1.93701i | −0.349214 | − | 0.937043i | \(-0.613552\pi\) |
0.00766664 | − | 0.999971i | \(-0.497560\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.55888 | + | 2.14716i | 0.144636 | + | 0.121364i | 0.712235 | − | 0.701941i | \(-0.247683\pi\) |
−0.567599 | + | 0.823305i | \(0.692127\pi\) | |||||||
\(314\) | 0.664726 | + | 1.15134i | 0.0375127 | + | 0.0649739i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6182 | + | 20.1232i | −0.653572 | + | 1.13202i | ||||
\(317\) | 29.1613 | − | 10.6138i | 1.63786 | − | 0.596133i | 0.651198 | − | 0.758908i | \(-0.274267\pi\) |
0.986663 | + | 0.162775i | \(0.0520445\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.5040 | − | 10.4921i | 0.700090 | − | 0.587446i | ||||
\(320\) | 25.5997 | + | 9.31753i | 1.43107 | + | 0.520866i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.594090 | − | 3.36925i | 0.0331073 | − | 0.187761i | ||||
\(323\) | 2.82842 | 0.157378 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | −0.0314637 | + | 0.178440i | −0.00174261 | + | 0.00988285i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.39450 | + | 1.23550i | 0.187430 | + | 0.0682190i | ||||
\(329\) | −2.57217 | + | 2.15831i | −0.141809 | + | 0.118992i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.07437 | + | 1.11898i | −0.168983 | + | 0.0615047i | −0.425126 | − | 0.905134i | \(-0.639770\pi\) |
0.256143 | + | 0.966639i | \(0.417548\pi\) | |||||||
\(332\) | −8.88119 | + | 15.3827i | −0.487419 | + | 0.844234i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.722527 | − | 1.25145i | −0.0395349 | − | 0.0684765i | ||||
\(335\) | −3.47016 | − | 2.91181i | −0.189595 | − | 0.159089i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.10541 | + | 6.26910i | 0.0602156 | + | 0.341500i | 1.00000 | 0.000268386i | \(-8.54299e-5\pi\) | |
−0.939784 | + | 0.341768i | \(0.888974\pi\) | |||||||
\(338\) | 0.372896 | + | 2.11480i | 0.0202829 | + | 0.115030i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 26.0683 | + | 21.8739i | 1.41375 | + | 1.18628i | ||||
\(341\) | −8.16083 | − | 14.1350i | −0.441934 | − | 0.765452i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.29078 | − | 12.6280i | 0.393665 | − | 0.681848i | ||||
\(344\) | −3.59477 | + | 1.30839i | −0.193817 | + | 0.0705435i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.89473 | − | 2.42896i | 0.155621 | − | 0.130582i | ||||
\(347\) | 8.26216 | + | 3.00718i | 0.443536 | + | 0.161434i | 0.554127 | − | 0.832432i | \(-0.313052\pi\) |
−0.110591 | + | 0.993866i | \(0.535274\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.50057 | − | 14.1815i | 0.133853 | − | 0.759116i | −0.841799 | − | 0.539791i | \(-0.818503\pi\) |
0.975652 | − | 0.219325i | \(-0.0703855\pi\) | |||||||
\(350\) | −4.69941 | −0.251194 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.06926 | −0.270192 | ||||||||
\(353\) | 5.76520 | − | 32.6961i | 0.306851 | − | 1.74024i | −0.307812 | − | 0.951447i | \(-0.599597\pi\) |
0.614663 | − | 0.788790i | \(-0.289292\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.2733 | − | 6.28697i | −0.916773 | − | 0.333678i | ||||
\(356\) | 11.3774 | − | 9.54677i | 0.603001 | − | 0.505978i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.47731 | − | 0.537697i | 0.0780782 | − | 0.0284182i | ||||
\(359\) | −2.47257 | + | 4.28262i | −0.130497 | + | 0.226028i | −0.923868 | − | 0.382710i | \(-0.874991\pi\) |
0.793371 | + | 0.608738i | \(0.208324\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.31282 | + | 16.1303i | 0.490149 | + | 0.848962i | ||||
\(362\) | 0.944879 | + | 0.792848i | 0.0496617 | + | 0.0416711i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.793508 | + | 4.50021i | 0.0415911 | + | 0.235875i | ||||
\(365\) | 2.78969 | + | 15.8211i | 0.146019 | + | 0.828114i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.90933 | − | 1.60212i | −0.0996662 | − | 0.0836299i | 0.591593 | − | 0.806237i | \(-0.298499\pi\) |
−0.691259 | + | 0.722607i | \(0.742944\pi\) | |||||||
\(368\) | 12.4660 | + | 21.5918i | 0.649837 | + | 1.12555i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.60281 | − | 2.77615i | 0.0833262 | − | 0.144325i | ||||
\(371\) | 25.1911 | − | 9.16882i | 1.30786 | − | 0.476021i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.4857 | + | 18.0286i | −1.11249 | + | 0.933487i | −0.998201 | − | 0.0599605i | \(-0.980903\pi\) |
−0.114286 | + | 0.993448i | \(0.536458\pi\) | |||||||
\(374\) | −1.87228 | − | 0.681453i | −0.0968131 | − | 0.0352371i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.132082 | + | 0.749075i | −0.00681162 | + | 0.0386306i | ||||
\(377\) | −5.01234 | −0.258149 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.13991 | 0.264019 | 0.132010 | − | 0.991248i | \(-0.457857\pi\) | ||||
0.132010 | + | 0.991248i | \(0.457857\pi\) | |||||||
\(380\) | 0.782108 | − | 4.43556i | 0.0401213 | − | 0.227539i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.94332 | − | 0.707310i | −0.0994288 | − | 0.0361891i | ||||
\(383\) | −0.0342214 | + | 0.0287152i | −0.00174863 | + | 0.00146728i | −0.643662 | − | 0.765310i | \(-0.722586\pi\) |
0.641913 | + | 0.766778i | \(0.278141\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.5223 | + | 9.65331i | −1.35170 | + | 0.491978i | ||||
\(386\) | −0.767463 | + | 1.32928i | −0.0390628 | + | 0.0676588i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.934167 | − | 1.61802i | −0.0474251 | − | 0.0821427i | ||||
\(389\) | 16.0733 | + | 13.4871i | 0.814951 | + | 0.683825i | 0.951784 | − | 0.306769i | \(-0.0992479\pi\) |
−0.136833 | + | 0.990594i | \(0.543692\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.23736 | + | 29.7026i | 0.264865 | + | 1.50212i | ||||
\(392\) | 0.261153 | + | 1.48107i | 0.0131902 | + | 0.0748054i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.980276 | + | 0.822549i | 0.0493856 | + | 0.0414394i | ||||
\(395\) | 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 | \(0.166647\pi\) | |||||||
\(398\) | −1.68782 | + | 0.614316i | −0.0846027 | + | 0.0307929i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 26.2345 | − | 22.0134i | 1.31173 | − | 1.10067i | ||||
\(401\) | −23.7332 | − | 8.63817i | −1.18518 | − | 0.431370i | −0.327150 | − | 0.944972i | \(-0.606088\pi\) |
−0.858028 | + | 0.513603i | \(0.828311\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.870322 | + | 4.93584i | −0.0433538 | + | 0.245872i | ||||
\(404\) | −11.0485 | −0.549684 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.43513 | −0.170483 | ||||||||
\(407\) | 2.14595 | − | 12.1703i | 0.106371 | − | 0.603259i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.8841 | + | 7.96515i | 1.08210 | + | 0.393851i | 0.820688 | − | 0.571377i | \(-0.193590\pi\) |
0.261410 | + | 0.965228i | \(0.415813\pi\) | |||||||
\(410\) | 2.60446 | − | 2.18540i | 0.128625 | − | 0.107929i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −17.4482 | + | 6.35064i | −0.859613 | + | 0.312874i | ||||
\(413\) | −17.9643 | + | 31.1151i | −0.883965 | + | 1.53107i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.8446 | + | 29.1756i | 0.826867 | + | 1.43218i | ||||
\(416\) | 1.19246 | + | 1.00059i | 0.0584651 | + | 0.0490581i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0457922 | + | 0.259701i | 0.00223977 | + | 0.0127024i | ||||
\(419\) | 5.43317 | + | 30.8130i | 0.265428 | + | 1.50531i | 0.767815 | + | 0.640672i | \(0.221344\pi\) |
−0.502387 | + | 0.864643i | \(0.667545\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.3870 | + | 19.6240i | 1.13981 | + | 0.956417i | 0.999433 | − | 0.0336807i | \(-0.0107229\pi\) |
0.140381 | + | 0.990098i | \(0.455167\pi\) | |||||||
\(422\) | 1.80424 | + | 3.12503i | 0.0878289 | + | 0.152124i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.03640 | − | 5.25920i | 0.147461 | − | 0.255409i | ||||
\(425\) | 38.9304 | − | 14.1695i | 1.88840 | − | 0.687323i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 19.0124 | − | 15.9533i | 0.920073 | − | 0.772033i | ||||
\(428\) | 2.36638 | + | 0.861291i | 0.114383 | + | 0.0416321i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.625213 | + | 3.54576i | −0.0301505 | + | 0.170992i | ||||
\(431\) | 12.4246 | 0.598474 | 0.299237 | − | 0.954179i | \(-0.403268\pi\) | ||||
0.299237 | + | 0.954179i | \(0.403268\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.760649 | −0.0365545 | −0.0182772 | − | 0.999833i | \(-0.505818\pi\) | ||||
−0.0182772 | + | 0.999833i | \(0.505818\pi\) | |||||||
\(434\) | −0.596462 | + | 3.38270i | −0.0286311 | + | 0.162375i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.7121 | − | 4.99081i | −0.656692 | − | 0.239017i | ||||
\(437\) | 3.05797 | − | 2.56594i | 0.146283 | − | 0.122746i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −28.2935 | + | 10.2980i | −1.35038 | + | 0.491497i | −0.913065 | − | 0.407813i | \(-0.866292\pi\) |
−0.437312 | + | 0.899310i | \(0.644069\pi\) | |||||||
\(440\) | −3.19685 | + | 5.53711i | −0.152404 | + | 0.263971i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.305914 | + | 0.529859i | 0.0145508 | + | 0.0252028i | ||||
\(443\) | −10.4654 | − | 8.78149i | −0.497225 | − | 0.417221i | 0.359382 | − | 0.933191i | \(-0.382987\pi\) |
−0.856607 | + | 0.515969i | \(0.827432\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.89156 | − | 27.7414i | −0.231882 | − | 1.31507i | ||||
\(446\) | −0.708226 | − | 4.01655i | −0.0335355 | − | 0.190189i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.9312 | − | 14.2070i | −0.799925 | − | 0.671217i | ||||
\(449\) | −10.9995 | − | 19.0516i | −0.519097 | − | 0.899102i | −0.999754 | − | 0.0221934i | \(-0.992935\pi\) |
0.480657 | − | 0.876909i | \(-0.340398\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.55346 | − | 11.3509i | 0.308590 | − | 0.534494i | ||||
\(452\) | −17.3130 | + | 6.30142i | −0.814335 | + | 0.296394i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.38922 | + | 1.16570i | −0.0651995 | + | 0.0547089i | ||||
\(455\) | 8.14433 | + | 2.96429i | 0.381812 | + | 0.138968i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.258532 | + | 1.46621i | −0.0120936 | + | 0.0685863i | −0.990257 | − | 0.139250i | \(-0.955531\pi\) |
0.978164 | + | 0.207836i | \(0.0666420\pi\) | |||||||
\(458\) | 2.40132 | 0.112206 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 48.0281 | 2.23932 | ||||||||
\(461\) | 1.23522 | − | 7.00527i | 0.0575298 | − | 0.326268i | −0.942437 | − | 0.334383i | \(-0.891472\pi\) |
0.999967 | + | 0.00811518i | \(0.00258317\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.9401 | + | 9.07746i | 1.15907 | + | 0.421866i | 0.848764 | − | 0.528772i | \(-0.177347\pi\) |
0.310302 | + | 0.950638i | \(0.399570\pi\) | |||||||
\(464\) | 19.1767 | − | 16.0912i | 0.890256 | − | 0.747013i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.23528 | + | 0.449605i | −0.0572232 | + | 0.0208275i | ||||
\(467\) | 13.0760 | − | 22.6482i | 0.605084 | − | 1.04804i | −0.386955 | − | 0.922099i | \(-0.626473\pi\) |
0.992038 | − | 0.125937i | \(-0.0401937\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.83760 | + | 3.18282i | 0.0848525 | + | 0.146969i | ||||
\(470\) | 0.548405 | + | 0.460166i | 0.0252960 | + | 0.0212259i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.41331 | + | 8.01529i | 0.0650529 | + | 0.368933i | ||||
\(473\) | 2.41027 | + | 13.6693i | 0.110824 | + | 0.628515i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.20044 | − | 3.52459i | −0.192729 | − | 0.161719i | ||||
\(476\) | −13.8043 | − | 23.9098i | −0.632719 | − | 1.09590i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.43213 | + | 2.48052i | −0.0655040 | + | 0.113456i | ||||
\(479\) | −9.77896 | + | 3.55925i | −0.446812 | + | 0.162626i | −0.555620 | − | 0.831437i | \(-0.687519\pi\) |
0.108808 | + | 0.994063i | \(0.465297\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.90702 | + | 2.43928i | −0.132549 | + | 0.111222i | ||||
\(482\) | −2.35990 | − | 0.858932i | −0.107490 | − | 0.0391233i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.63916 | − | 9.29613i | 0.0745072 | − | 0.422551i | ||||
\(485\) | −3.54358 | −0.160906 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.4664 | −0.836791 | −0.418396 | − | 0.908265i | \(-0.637407\pi\) | ||||
−0.418396 | + | 0.908265i | \(0.637407\pi\) | |||||||
\(488\) | 0.976293 | − | 5.53683i | 0.0441947 | − | 0.250641i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.33010 | + | 0.484116i | 0.0600877 | + | 0.0218701i | ||||
\(491\) | 13.0028 | − | 10.9106i | 0.586806 | − | 0.492389i | −0.300368 | − | 0.953823i | \(-0.597110\pi\) |
0.887174 | + | 0.461435i | \(0.152665\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 28.4570 | − | 10.3575i | 1.28164 | − | 0.466479i | ||||
\(494\) | 0.0404890 | − | 0.0701289i | 0.00182168 | − | 0.00315525i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.5158 | − | 21.6780i | −0.561976 | − | 0.973371i | ||||
\(497\) | 11.4243 | + | 9.58611i | 0.512449 | + | 0.429996i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.27976 | + | 24.2717i | 0.191589 | + | 1.08655i | 0.917194 | + | 0.398441i | \(0.130449\pi\) |
−0.725605 | + | 0.688111i | \(0.758440\pi\) | |||||||
\(500\) | −5.06442 | − | 28.7218i | −0.226488 | − | 1.28448i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.19943 | + | 1.00644i | 0.0535332 | + | 0.0449197i | ||||
\(503\) | 20.0569 | + | 34.7395i | 0.894291 | + | 1.54896i | 0.834679 | + | 0.550736i | \(0.185653\pi\) |
0.0596120 | + | 0.998222i | \(0.481014\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.4776 | + | 18.1478i | −0.466248 | + | 0.807564i | ||||
\(506\) | −2.64244 | + | 0.961770i | −0.117471 | + | 0.0427559i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −31.3859 | + | 26.3359i | −1.39252 | + | 1.16847i | ||||
\(509\) | 4.65009 | + | 1.69249i | 0.206111 | + | 0.0750184i | 0.443013 | − | 0.896515i | \(-0.353910\pi\) |
−0.236901 | + | 0.971534i | \(0.576132\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.26329 | − | 12.8358i | 0.100122 | − | 0.567821i | ||||
\(512\) | −13.0229 | −0.575537 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.67785 | 0.0740066 | ||||||||
\(515\) | −6.11540 | + | 34.6821i | −0.269477 | + | 1.52828i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.59340 | + | 0.943922i | 0.114058 | + | 0.0415136i | ||||
\(518\) | −1.99228 | + | 1.67172i | −0.0875359 | + | 0.0734514i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.84494 | − | 0.671505i | 0.0809061 | − | 0.0294474i | ||||
\(521\) | 3.86979 | − | 6.70267i | 0.169539 | − | 0.293649i | −0.768719 | − | 0.639586i | \(-0.779106\pi\) |
0.938258 | + | 0.345937i | \(0.112439\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.0070 | − | 31.1891i | −0.787391 | − | 1.36380i | −0.927560 | − | 0.373674i | \(-0.878098\pi\) |
0.140169 | − | 0.990128i | \(-0.455236\pi\) | |||||||
\(524\) | −0.989757 | − | 0.830505i | −0.0432378 | − | 0.0362808i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.806650 | − | 4.57474i | −0.0351716 | − | 0.199468i | ||||
\(527\) | −5.25827 | − | 29.8212i | −0.229054 | − | 1.29903i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.9896 | + | 12.5777i | 0.651720 | + | 0.546858i | ||||
\(530\) | −2.85780 | − | 4.94986i | −0.124135 | − | 0.215008i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.82705 | + | 3.16455i | −0.0792129 | + | 0.137201i | ||||
\(533\) | −3.78209 | + | 1.37657i | −0.163820 | + | 0.0596257i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.65882 | − | 3.07011i | 0.158184 | − | 0.132733i | ||||
\(536\) | 0.782338 | + | 0.284748i | 0.0337919 | + | 0.0122992i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.352599 | − | 1.99969i | 0.0152016 | − | 0.0862126i | ||||
\(539\) | 5.45676 | 0.235039 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.4147 | −1.04967 | −0.524834 | − | 0.851204i | \(-0.675873\pi\) | ||||
−0.524834 | + | 0.851204i | \(0.675873\pi\) | |||||||
\(542\) | −0.00434263 | + | 0.0246283i | −0.000186532 | + | 0.00105787i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −8.83769 | − | 3.21666i | −0.378913 | − | 0.137913i | ||||
\(545\) | −21.2013 | + | 17.7900i | −0.908163 | + | 0.762039i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.6514 | − | 9.70030i | 1.13953 | − | 0.414755i | 0.297786 | − | 0.954633i | \(-0.403752\pi\) |
0.841743 | + | 0.539878i | \(0.181530\pi\) | |||||||
\(548\) | −8.45913 | + | 14.6516i | −0.361356 | + | 0.625887i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.93130 | + | 3.34512i | 0.0823511 | + | 0.142636i | ||||
\(551\) | −3.07040 | − | 2.57637i | −0.130803 | − | 0.109757i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.20885 | − | 35.2121i | −0.264027 | − | 1.49737i | ||||
\(554\) | 0.0304702 | + | 0.172805i | 0.00129456 | + | 0.00734179i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −20.2925 | − | 17.0274i | −0.860593 | − | 0.722124i | ||||
\(557\) | −18.4687 | − | 31.9887i | −0.782542 | − | 1.35540i | −0.930456 | − | 0.366403i | \(-0.880589\pi\) |
0.147914 | − | 0.989000i | \(-0.452744\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.13113 | − | 3.69123i | 0.0901372 | − | 0.156122i | ||||
\(560\) | −40.6757 | + | 14.8047i | −1.71886 | + | 0.625614i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.64785 | + | 3.06091i | −0.153875 | + | 0.129117i | ||||
\(563\) | 21.4019 | + | 7.78965i | 0.901982 | + | 0.328295i | 0.751047 | − | 0.660249i | \(-0.229549\pi\) |
0.150935 | + | 0.988544i | \(0.451771\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.06800 | + | 34.4133i | −0.255282 | + | 1.44778i | ||||
\(566\) | 4.63625 | 0.194876 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.37833 | 0.141752 | ||||||||
\(569\) | −5.36030 | + | 30.3998i | −0.224716 | + | 1.27443i | 0.638512 | + | 0.769611i | \(0.279550\pi\) |
−0.863228 | + | 0.504814i | \(0.831561\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.0473 | − | 4.38487i | −0.504165 | − | 0.183501i | 0.0774015 | − | 0.997000i | \(-0.475338\pi\) |
−0.581566 | + | 0.813499i | \(0.697560\pi\) | |||||||
\(572\) | 2.87722 | − | 2.41427i | 0.120303 | − | 0.100946i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.59200 | + | 0.943409i | −0.108188 | + | 0.0393771i | ||||
\(575\) | 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 | \(0.670437\pi\) | |||||||
\(578\) | −0.579073 | − | 0.485900i | −0.0240863 | − | 0.0202108i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −8.37388 | − | 47.4906i | −0.347706 | − | 1.97194i | ||||
\(581\) | −4.74619 | − | 26.9170i | −0.196905 | − | 1.11670i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.8793 | − | 14.1634i | −0.699068 | − | 0.586587i | ||||
\(584\) | −1.47628 | − | 2.55699i | −0.0610888 | − | 0.105809i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.61363 | + | 2.79489i | −0.0666584 | + | 0.115456i | ||||
\(587\) | 10.7007 | − | 3.89473i | 0.441665 | − | 0.160753i | −0.111609 | − | 0.993752i | \(-0.535600\pi\) |
0.553274 | + | 0.832999i | \(0.313378\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.07018 | + | 2.57619i | −0.126505 | + | 0.106150i | ||||
\(590\) | 7.19824 | + | 2.61995i | 0.296347 | + | 0.107861i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.29112 | − | 18.6649i | 0.135264 | − | 0.767122i | ||||
\(593\) | 37.7324 | 1.54948 | 0.774742 | − | 0.632277i | \(-0.217880\pi\) | ||||
0.774742 | + | 0.632277i | \(0.217880\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −52.3640 | −2.14672 | ||||||||
\(596\) | 3.29172 | − | 18.6682i | 0.134834 | − | 0.764681i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.811429 | + | 0.295336i | 0.0331818 | + | 0.0120772i | ||||
\(599\) | −36.2785 | + | 30.4413i | −1.48230 | + | 1.24380i | −0.578611 | + | 0.815604i | \(0.696405\pi\) |
−0.903687 | + | 0.428193i | \(0.859150\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.2314 | − | 10.6394i | 1.19237 | − | 0.433989i | 0.331818 | − | 0.943343i | \(-0.392338\pi\) |
0.860557 | + | 0.509354i | \(0.170116\pi\) | |||||||
\(602\) | 1.46054 | − | 2.52973i | 0.0595271 | − | 0.103104i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.02156 | − | 12.1617i | −0.285703 | − | 0.494853i | ||||
\(605\) | −13.7149 | − | 11.5082i | −0.557591 | − | 0.467874i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.12027 | + | 29.0385i | 0.207825 | + | 1.17864i | 0.892932 | + | 0.450192i | \(0.148645\pi\) |
−0.685106 | + | 0.728443i | \(0.740244\pi\) | |||||||
\(608\) | 0.216153 | + | 1.22586i | 0.00876614 | + | 0.0497153i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.05356 | − | 3.40134i | −0.164124 | − | 0.137716i | ||||
\(611\) | −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 | \(0.127327\pi\) | |||||||
\(614\) | 5.49225 | − | 1.99901i | 0.221649 | − | 0.0806737i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.97366 | − | 3.33430i | 0.160103 | − | 0.134343i | ||||
\(617\) | −17.9670 | − | 6.53946i | −0.723325 | − | 0.263269i | −0.0459884 | − | 0.998942i | \(-0.514644\pi\) |
−0.677337 | + | 0.735673i | \(0.736866\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.17279 | + | 6.65125i | −0.0471386 | + | 0.267336i | −0.999263 | − | 0.0383731i | \(-0.987782\pi\) |
0.952125 | + | 0.305709i | \(0.0988936\pi\) | |||||||
\(620\) | −48.2198 | −1.93655 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.99994 | 0.240576 | ||||||||
\(623\) | −3.96856 | + | 22.5068i | −0.158997 | + | 0.901716i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.87255 | − | 3.59331i | −0.394902 | − | 0.143733i | ||||
\(626\) | −0.442625 | + | 0.371406i | −0.0176908 | + | 0.0148444i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 14.2284 | − | 5.17872i | 0.567776 | − | 0.206654i | ||||
\(629\) | 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 | \(0.830438\pi\) | |||||||
\(632\) | −6.20472 | − | 5.20638i | −0.246811 | − | 0.207099i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.932131 | + | 5.28638i | 0.0370196 | + | 0.209949i | ||||
\(635\) | 13.4940 | + | 76.5280i | 0.535491 | + | 3.03692i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.28361 | − | 1.07708i | −0.0508586 | − | 0.0426754i | ||||
\(638\) | 1.41173 | + | 2.44519i | 0.0558909 | + | 0.0968058i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.95805 | + | 17.2479i | −0.393627 | + | 0.681781i | ||||
\(641\) | 2.69789 | − | 0.981950i | 0.106560 | − | 0.0387847i | −0.288190 | − | 0.957573i | \(-0.593053\pi\) |
0.394750 | + | 0.918789i | \(0.370831\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.30445 | + | 1.09457i | −0.0514426 | + | 0.0431655i | −0.668146 | − | 0.744030i | \(-0.732912\pi\) |
0.616704 | + | 0.787195i | \(0.288468\pi\) | |||||||
\(644\) | −36.6156 | − | 13.3270i | −1.44286 | − | 0.525156i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.0849572 | + | 0.481816i | −0.00334260 | + | 0.0189568i | ||||
\(647\) | 36.1004 | 1.41925 | 0.709626 | − | 0.704579i | \(-0.248864\pi\) | ||||
0.709626 | + | 0.704579i | \(0.248864\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.5310 | 1.15919 | ||||||||
\(650\) | 0.205966 | − | 1.16809i | 0.00807866 | − | 0.0458164i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.93920 | + | 0.705812i | 0.0759451 | + | 0.0276417i | ||||
\(653\) | −33.3750 | + | 28.0050i | −1.30606 | + | 1.09592i | −0.317002 | + | 0.948425i | \(0.602676\pi\) |
−0.989063 | + | 0.147494i | \(0.952879\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.30276 | + | 0.838137i | −0.0899764 | + | 0.0327487i | ||||
\(656\) | 10.0507 | − | 17.4083i | 0.392412 | − | 0.679678i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.290404 | − | 0.502994i | −0.0113211 | − | 0.0196087i | ||||
\(659\) | 19.5196 | + | 16.3789i | 0.760374 | + | 0.638030i | 0.938224 | − | 0.346028i | \(-0.112470\pi\) |
−0.177850 | + | 0.984058i | \(0.556914\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.93307 | + | 33.6481i | 0.230770 | + | 1.30876i | 0.851342 | + | 0.524611i | \(0.175789\pi\) |
−0.620572 | + | 0.784149i | \(0.713100\pi\) | |||||||
\(662\) | −0.0982712 | − | 0.557324i | −0.00381942 | − | 0.0216610i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.74303 | − | 3.97988i | −0.184065 | − | 0.154449i | ||||
\(665\) | 3.46529 | + | 6.00207i | 0.134378 | + | 0.232750i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.3702 | − | 37.0143i | 0.827459 | − | 1.43320i | ||||
\(668\) | −15.4656 | + | 5.62903i | −0.598384 | + | 0.217794i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.600255 | − | 0.503674i | 0.0231899 | − | 0.0194586i | ||||
\(671\) | −19.1693 | − | 6.97705i | −0.740022 | − | 0.269346i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.13021 | + | 29.0949i | −0.197755 | + | 1.12153i | 0.710685 | + | 0.703511i | \(0.248385\pi\) |
−0.908440 | + | 0.418015i | \(0.862726\pi\) | |||||||
\(674\) | −1.10113 | −0.0424140 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.4577 | 0.940680 | ||||||||
\(677\) | 7.08141 | − | 40.1607i | 0.272161 | − | 1.54350i | −0.475677 | − | 0.879620i | \(-0.657797\pi\) |
0.747838 | − | 0.663881i | \(-0.231092\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.70155 | + | 0.983285i | 0.103676 | + | 0.0377350i | ||||
\(680\) | −9.08688 | + | 7.62479i | −0.348466 | + | 0.292398i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.65299 | − | 0.965610i | 0.101588 | − | 0.0369751i | ||||
\(683\) | −15.8213 | + | 27.4033i | −0.605384 | + | 1.04856i | 0.386606 | + | 0.922245i | \(0.373647\pi\) |
−0.991991 | + | 0.126312i | \(0.959686\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0441 | + | 27.7891i | 0.613012 | + | 1.06177i | ||||
\(686\) | 1.93216 | + | 1.62128i | 0.0737704 | + | 0.0619007i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.69649 | + | 20.9638i | 0.140927 | + | 0.799238i | ||||
\(689\) | 1.17494 | + | 6.66340i | 0.0447616 | + | 0.253855i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.8972 | − | 18.3739i | −0.833008 | − | 0.698977i | 0.122971 | − | 0.992410i | \(-0.460758\pi\) |
−0.955980 | + | 0.293433i | \(0.905202\pi\) | |||||||
\(692\) | −21.5190 | − | 37.2719i | −0.818028 | − | 1.41687i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.760438 | + | 1.31712i | −0.0288658 | + | 0.0499971i | ||||
\(695\) | −47.2124 | + | 17.1839i | −1.79087 | + | 0.651822i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.6279 | − | 15.6306i | 0.705581 | − | 0.592052i | ||||
\(698\) | 2.34067 | + | 0.851935i | 0.0885958 | + | 0.0322462i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.29418 | + | 52.7099i | −0.351287 | + | 1.99225i | ||||
\(701\) | −7.52982 | −0.284397 | −0.142199 | − | 0.989838i | \(-0.545417\pi\) | ||||
−0.142199 | + | 0.989838i | \(0.545417\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.03455 | −0.114450 | ||||||||
\(704\) | −3.15459 | + | 17.8905i | −0.118893 | + | 0.674275i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.39655 | + | 1.96418i | 0.203102 | + | 0.0739230i | ||||
\(707\) | 13.0236 | − | 10.9281i | 0.489803 | − | 0.410994i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.53069 | + | 2.74095i | −0.282821 | + | 0.102938i | −0.479536 | − | 0.877522i | \(-0.659195\pi\) |
0.196715 | + | 0.980461i | \(0.436973\pi\) | |||||||
\(710\) | 1.58981 | − | 2.75363i | 0.0596646 | − | 0.103342i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.58857 | + | 4.48354i | 0.0970108 | + | 0.168028i | ||||
\(713\) | −32.7388 | − | 27.4711i | −1.22608 | − | 1.02880i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.23702 | − | 7.01551i | −0.0462620 | − | 0.262365i | ||||
\(716\) | −3.10924 | − | 17.6334i | −0.116198 | − | 0.658990i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.655267 | − | 0.549835i | −0.0244544 | − | 0.0205196i | ||||
\(719\) | −13.4913 | − | 23.3676i | −0.503140 | − | 0.871464i | −0.999993 | − | 0.00362928i | \(-0.998845\pi\) |
0.496854 | − | 0.867834i | \(-0.334489\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.2860 | − | 24.7440i | 0.532037 | − | 0.921515i | ||||
\(722\) | −3.02749 | + | 1.10192i | −0.112672 | + | 0.0410091i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.7615 | − | 9.03000i | 0.399949 | − | 0.335597i | ||||
\(725\) | −55.1679 | − | 20.0795i | −2.04888 | − | 0.745733i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.55164 | + | 14.4711i | −0.0946353 | + | 0.536703i | 0.900223 | + | 0.435429i | \(0.143403\pi\) |
−0.994859 | + | 0.101275i | \(0.967708\pi\) | |||||||
\(728\) | −1.59288 | −0.0590360 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.77889 | −0.102851 | ||||||||
\(731\) | −4.47171 | + | 25.3603i | −0.165392 | + | 0.937986i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 29.4535 | + | 10.7202i | 1.08789 | + | 0.395960i | 0.822839 | − | 0.568275i | \(-0.192389\pi\) |
0.265051 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(734\) | 0.330268 | − | 0.277128i | 0.0121904 | − | 0.0102290i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −12.4731 | + | 4.53984i | −0.459764 | + | 0.167341i | ||||
\(737\) | 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 | \(0.836161\pi\) | |||||||
\(740\) | −27.9682 | − | 23.4681i | −1.02813 | − | 0.862704i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.805225 | + | 4.56666i | 0.0295608 | + | 0.167647i | ||||
\(743\) | 7.47568 | + | 42.3967i | 0.274256 | + | 1.55538i | 0.741315 | + | 0.671158i | \(0.234203\pi\) |
−0.467058 | + | 0.884226i | \(0.654686\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −27.5419 | − | 23.1104i | −1.00906 | − | 0.846701i | ||||
\(746\) | −2.42578 | − | 4.20157i | −0.0888140 | − | 0.153830i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.3462 | + | 19.6523i | −0.414860 | + | 0.718558i | ||||
\(749\) | −3.64131 | + | 1.32533i | −0.133051 | + | 0.0484264i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 33.6459 | − | 28.2323i | 1.22776 | − | 1.03021i | 0.229375 | − | 0.973338i | \(-0.426332\pi\) |
0.998381 | − | 0.0568722i | \(-0.0181127\pi\) | |||||||
\(752\) | 3.97735 | + | 1.44764i | 0.145039 | + | 0.0527899i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.150555 | − | 0.853843i | 0.00548291 | − | 0.0310951i | ||||
\(755\) | −26.6350 | −0.969346 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.4143 | 0.814661 | 0.407331 | − | 0.913281i | \(-0.366460\pi\) | ||||
0.407331 | + | 0.913281i | \(0.366460\pi\) | |||||||
\(758\) | −0.154387 | + | 0.875574i | −0.00560760 | + | 0.0318023i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.47531 | + | 0.536969i | 0.0535152 | + | 0.0194779i | ||||
\(761\) | −7.65795 | + | 6.42578i | −0.277600 | + | 0.232934i | −0.770948 | − | 0.636898i | \(-0.780217\pi\) |
0.493348 | + | 0.869832i | \(0.335773\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.0998 | − | 7.67971i | 0.763865 | − | 0.278024i | ||||
\(764\) | −11.7768 | + | 20.3980i | −0.426069 | + | 0.737972i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.00386367 | − | 0.00669207i | −0.000139600 | − | 0.000241794i | ||||
\(767\) | −6.94667 | − | 5.82895i | −0.250830 | − | 0.210471i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.30170 | − | 7.38231i | −0.0469405 | − | 0.266213i | 0.952301 | − | 0.305161i | \(-0.0987103\pi\) |
−0.999241 | + | 0.0389483i | \(0.987599\pi\) | |||||||
\(770\) | −0.847775 | − | 4.80797i | −0.0305517 | − | 0.173267i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.3918 | + | 11.2371i | 0.481982 | + | 0.404431i | ||||
\(773\) | 9.91954 | + | 17.1812i | 0.356781 | + | 0.617963i | 0.987421 | − | 0.158112i | \(-0.0505408\pi\) |
−0.630640 | + | 0.776076i | \(0.717207\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.3521 | + | 50.8394i | −1.05436 | + | 1.82620i | ||||
\(776\) | 0.611986 | − | 0.222745i | 0.0219690 | − | 0.00799606i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.78030 | + | 2.33295i | −0.0996787 | + | 0.0836403i |