Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, 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("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 245.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.245 |
Dual form | 361.2.e.h.28.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.233956 | − | 1.32683i | 0.165432 | − | 0.938209i | −0.783187 | − | 0.621786i | \(-0.786407\pi\) |
0.948618 | − | 0.316423i | \(-0.102482\pi\) | |||||||
\(3\) | 2.20574 | + | 1.85083i | 1.27348 | + | 1.06858i | 0.994108 | + | 0.108397i | \(0.0345718\pi\) |
0.279375 | + | 0.960182i | \(0.409873\pi\) | |||||||
\(4\) | 0.173648 | + | 0.0632028i | 0.0868241 | + | 0.0316014i | ||||
\(5\) | −0.826352 | + | 0.300767i | −0.369556 | + | 0.134507i | −0.520121 | − | 0.854093i | \(-0.674113\pi\) |
0.150565 | + | 0.988600i | \(0.451891\pi\) | |||||||
\(6\) | 2.97178 | − | 2.49362i | 1.21322 | − | 1.01802i | ||||
\(7\) | −0.173648 | − | 0.300767i | −0.0656328 | − | 0.113679i | 0.831342 | − | 0.555762i | \(-0.187573\pi\) |
−0.896975 | + | 0.442082i | \(0.854240\pi\) | |||||||
\(8\) | 1.47178 | − | 2.54920i | 0.520353 | − | 0.901278i | ||||
\(9\) | 0.918748 | + | 5.21048i | 0.306249 | + | 1.73683i | ||||
\(10\) | 0.205737 | + | 1.16679i | 0.0650598 | + | 0.368972i | ||||
\(11\) | 1.11334 | − | 1.92836i | 0.335685 | − | 0.581423i | −0.647931 | − | 0.761699i | \(-0.724366\pi\) |
0.983616 | + | 0.180276i | \(0.0576989\pi\) | |||||||
\(12\) | 0.266044 | + | 0.460802i | 0.0768004 | + | 0.133022i | ||||
\(13\) | −1.97178 | + | 1.65452i | −0.546874 | + | 0.458882i | −0.873881 | − | 0.486140i | \(-0.838404\pi\) |
0.327007 | + | 0.945022i | \(0.393960\pi\) | |||||||
\(14\) | −0.439693 | + | 0.160035i | −0.117513 | + | 0.0427712i | ||||
\(15\) | −2.37939 | − | 0.866025i | −0.614355 | − | 0.223607i | ||||
\(16\) | −2.75490 | − | 2.31164i | −0.688725 | − | 0.577909i | ||||
\(17\) | 0.0812519 | − | 0.460802i | 0.0197065 | − | 0.111761i | −0.973368 | − | 0.229249i | \(-0.926373\pi\) |
0.993074 | + | 0.117488i | \(0.0374841\pi\) | |||||||
\(18\) | 7.12836 | 1.68017 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −0.162504 | −0.0363370 | ||||||||
\(21\) | 0.173648 | − | 0.984808i | 0.0378931 | − | 0.214903i | ||||
\(22\) | −2.29813 | − | 1.92836i | −0.489964 | − | 0.411128i | ||||
\(23\) | 2.53209 | + | 0.921605i | 0.527977 | + | 0.192168i | 0.592235 | − | 0.805765i | \(-0.298246\pi\) |
−0.0642578 | + | 0.997933i | \(0.520468\pi\) | |||||||
\(24\) | 7.96451 | − | 2.89884i | 1.62575 | − | 0.591724i | ||||
\(25\) | −3.23783 | + | 2.71686i | −0.647565 | + | 0.543372i | ||||
\(26\) | 1.73396 | + | 3.00330i | 0.340057 | + | 0.588995i | ||||
\(27\) | −3.29813 | + | 5.71253i | −0.634726 | + | 1.09938i | ||||
\(28\) | −0.0111444 | − | 0.0632028i | −0.00210608 | − | 0.0119442i | ||||
\(29\) | 1.19459 | + | 6.77487i | 0.221830 | + | 1.25806i | 0.868653 | + | 0.495421i | \(0.164986\pi\) |
−0.646822 | + | 0.762641i | \(0.723903\pi\) | |||||||
\(30\) | −1.70574 | + | 2.95442i | −0.311424 | + | 0.539401i | ||||
\(31\) | −3.55303 | − | 6.15403i | −0.638144 | − | 1.10530i | −0.985840 | − | 0.167690i | \(-0.946369\pi\) |
0.347696 | − | 0.937607i | \(-0.386964\pi\) | |||||||
\(32\) | 0.798133 | − | 0.669713i | 0.141091 | − | 0.118390i | ||||
\(33\) | 6.02481 | − | 2.19285i | 1.04879 | − | 0.381727i | ||||
\(34\) | −0.592396 | − | 0.215615i | −0.101595 | − | 0.0369776i | ||||
\(35\) | 0.233956 | + | 0.196312i | 0.0395457 | + | 0.0331828i | ||||
\(36\) | −0.169778 | + | 0.962858i | −0.0282963 | + | 0.160476i | ||||
\(37\) | −4.94356 | −0.812717 | −0.406358 | − | 0.913714i | \(-0.633202\pi\) | ||||
−0.406358 | + | 0.913714i | \(0.633202\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.41147 | −1.18679 | ||||||||
\(40\) | −0.449493 | + | 2.54920i | −0.0710711 | + | 0.403064i | ||||
\(41\) | −1.89646 | − | 1.59132i | −0.296177 | − | 0.248522i | 0.482574 | − | 0.875855i | \(-0.339702\pi\) |
−0.778751 | + | 0.627333i | \(0.784146\pi\) | |||||||
\(42\) | −1.26604 | − | 0.460802i | −0.195355 | − | 0.0711034i | ||||
\(43\) | −3.66637 | + | 1.33445i | −0.559117 | + | 0.203502i | −0.606093 | − | 0.795394i | \(-0.707264\pi\) |
0.0469757 | + | 0.998896i | \(0.485042\pi\) | |||||||
\(44\) | 0.315207 | − | 0.264490i | 0.0475193 | − | 0.0398734i | ||||
\(45\) | −2.32635 | − | 4.02936i | −0.346792 | − | 0.600661i | ||||
\(46\) | 1.81521 | − | 3.14403i | 0.267638 | − | 0.463562i | ||||
\(47\) | −1.26604 | − | 7.18009i | −0.184672 | − | 1.04732i | −0.926377 | − | 0.376598i | \(-0.877094\pi\) |
0.741705 | − | 0.670726i | \(-0.234017\pi\) | |||||||
\(48\) | −1.79813 | − | 10.1977i | −0.259538 | − | 1.47191i | ||||
\(49\) | 3.43969 | − | 5.95772i | 0.491385 | − | 0.851103i | ||||
\(50\) | 2.84730 | + | 4.93166i | 0.402669 | + | 0.697442i | ||||
\(51\) | 1.03209 | − | 0.866025i | 0.144521 | − | 0.121268i | ||||
\(52\) | −0.446967 | + | 0.162683i | −0.0619831 | + | 0.0225600i | ||||
\(53\) | −2.66637 | − | 0.970481i | −0.366255 | − | 0.133306i | 0.152335 | − | 0.988329i | \(-0.451321\pi\) |
−0.518590 | + | 0.855023i | \(0.673543\pi\) | |||||||
\(54\) | 6.80793 | + | 5.71253i | 0.926442 | + | 0.777377i | ||||
\(55\) | −0.340022 | + | 1.92836i | −0.0458486 | + | 0.260020i | ||||
\(56\) | −1.02229 | −0.136609 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.26857 | 1.21702 | ||||||||
\(59\) | 1.09492 | − | 6.20961i | 0.142547 | − | 0.808423i | −0.826757 | − | 0.562559i | \(-0.809817\pi\) |
0.969304 | − | 0.245864i | \(-0.0790718\pi\) | |||||||
\(60\) | −0.358441 | − | 0.300767i | −0.0462745 | − | 0.0388289i | ||||
\(61\) | −8.57785 | − | 3.12208i | −1.09828 | − | 0.399742i | −0.271599 | − | 0.962411i | \(-0.587552\pi\) |
−0.826682 | + | 0.562669i | \(0.809775\pi\) | |||||||
\(62\) | −8.99660 | + | 3.27449i | −1.14257 | + | 0.415861i | ||||
\(63\) | 1.40760 | − | 1.18112i | 0.177341 | − | 0.148807i | ||||
\(64\) | −4.29813 | − | 7.44459i | −0.537267 | − | 0.930573i | ||||
\(65\) | 1.13176 | − | 1.96026i | 0.140377 | − | 0.243141i | ||||
\(66\) | −1.50000 | − | 8.50692i | −0.184637 | − | 1.04713i | ||||
\(67\) | −1.33275 | − | 7.55839i | −0.162821 | − | 0.923405i | −0.951283 | − | 0.308320i | \(-0.900233\pi\) |
0.788461 | − | 0.615084i | \(-0.210878\pi\) | |||||||
\(68\) | 0.0432332 | − | 0.0748822i | 0.00524280 | − | 0.00908080i | ||||
\(69\) | 3.87939 | + | 6.71929i | 0.467023 | + | 0.808908i | ||||
\(70\) | 0.315207 | − | 0.264490i | 0.0376745 | − | 0.0316127i | ||||
\(71\) | −8.74422 | + | 3.18264i | −1.03775 | + | 0.377709i | −0.804026 | − | 0.594594i | \(-0.797313\pi\) |
−0.233722 | + | 0.972303i | \(0.575091\pi\) | |||||||
\(72\) | 14.6348 | + | 5.32661i | 1.72472 | + | 0.627748i | ||||
\(73\) | 1.06418 | + | 0.892951i | 0.124553 | + | 0.104512i | 0.702936 | − | 0.711253i | \(-0.251872\pi\) |
−0.578384 | + | 0.815765i | \(0.696316\pi\) | |||||||
\(74\) | −1.15657 | + | 6.55926i | −0.134449 | + | 0.762498i | ||||
\(75\) | −12.1702 | −1.40530 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.773318 | −0.0881278 | ||||||||
\(78\) | −1.73396 | + | 9.83375i | −0.196332 | + | 1.11345i | ||||
\(79\) | 9.07398 | + | 7.61397i | 1.02090 | + | 0.856639i | 0.989741 | − | 0.142876i | \(-0.0456349\pi\) |
0.0311616 | + | 0.999514i | \(0.490079\pi\) | |||||||
\(80\) | 2.97178 | + | 1.08164i | 0.332255 | + | 0.120931i | ||||
\(81\) | −2.93242 | + | 1.06731i | −0.325824 | + | 0.118590i | ||||
\(82\) | −2.55509 | + | 2.14398i | −0.282163 | + | 0.236763i | ||||
\(83\) | 7.41534 | + | 12.8438i | 0.813940 | + | 1.40979i | 0.910087 | + | 0.414418i | \(0.136015\pi\) |
−0.0961469 | + | 0.995367i | \(0.530652\pi\) | |||||||
\(84\) | 0.0923963 | − | 0.160035i | 0.0100813 | − | 0.0174613i | ||||
\(85\) | 0.0714517 | + | 0.405223i | 0.00775003 | + | 0.0439526i | ||||
\(86\) | 0.912818 | + | 5.17685i | 0.0984317 | + | 0.558234i | ||||
\(87\) | −9.90420 | + | 17.1546i | −1.06184 | + | 1.83916i | ||||
\(88\) | −3.27719 | − | 5.67626i | −0.349349 | − | 0.605091i | ||||
\(89\) | 7.88326 | − | 6.61484i | 0.835623 | − | 0.701171i | −0.120951 | − | 0.992658i | \(-0.538594\pi\) |
0.956575 | + | 0.291487i | \(0.0941501\pi\) | |||||||
\(90\) | −5.89053 | + | 2.14398i | −0.620916 | + | 0.225995i | ||||
\(91\) | 0.840022 | + | 0.305743i | 0.0880583 | + | 0.0320506i | ||||
\(92\) | 0.381445 | + | 0.320070i | 0.0397684 | + | 0.0333696i | ||||
\(93\) | 3.55303 | − | 20.1503i | 0.368432 | − | 2.08948i | ||||
\(94\) | −9.82295 | −1.01316 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −1.64156 | + | 9.30975i | −0.166675 | + | 0.945261i | 0.780645 | + | 0.624974i | \(0.214891\pi\) |
−0.947320 | + | 0.320287i | \(0.896221\pi\) | |||||||
\(98\) | −7.10014 | − | 5.95772i | −0.717222 | − | 0.601821i | ||||
\(99\) | 11.0706 | + | 4.02936i | 1.11263 | + | 0.404966i | ||||
\(100\) | −0.733956 | + | 0.267138i | −0.0733956 | + | 0.0267138i | ||||
\(101\) | −7.08512 | + | 5.94512i | −0.704996 | + | 0.591562i | −0.923190 | − | 0.384343i | \(-0.874428\pi\) |
0.218194 | + | 0.975905i | \(0.429983\pi\) | |||||||
\(102\) | −0.907604 | − | 1.57202i | −0.0898662 | − | 0.155653i | ||||
\(103\) | −2.75490 | + | 4.77163i | −0.271448 | + | 0.470162i | −0.969233 | − | 0.246145i | \(-0.920836\pi\) |
0.697785 | + | 0.716308i | \(0.254169\pi\) | |||||||
\(104\) | 1.31567 | + | 7.46156i | 0.129012 | + | 0.731666i | ||||
\(105\) | 0.152704 | + | 0.866025i | 0.0149023 | + | 0.0845154i | ||||
\(106\) | −1.91147 | + | 3.31077i | −0.185659 | + | 0.321570i | ||||
\(107\) | 5.11721 | + | 8.86327i | 0.494699 | + | 0.856845i | 0.999981 | − | 0.00610974i | \(-0.00194480\pi\) |
−0.505282 | + | 0.862954i | \(0.668611\pi\) | |||||||
\(108\) | −0.933763 | + | 0.783520i | −0.0898514 | + | 0.0753943i | ||||
\(109\) | −1.71301 | + | 0.623485i | −0.164077 | + | 0.0597190i | −0.422753 | − | 0.906245i | \(-0.638936\pi\) |
0.258676 | + | 0.965964i | \(0.416714\pi\) | |||||||
\(110\) | 2.47906 | + | 0.902302i | 0.236369 | + | 0.0860312i | ||||
\(111\) | −10.9042 | − | 9.14971i | −1.03498 | − | 0.868452i | ||||
\(112\) | −0.216881 | + | 1.23000i | −0.0204934 | + | 0.116224i | ||||
\(113\) | 17.6878 | 1.66393 | 0.831963 | − | 0.554830i | \(-0.187217\pi\) | ||||
0.831963 | + | 0.554830i | \(0.187217\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.36959 | −0.220965 | ||||||||
\(116\) | −0.220752 | + | 1.25195i | −0.0204963 | + | 0.116240i | ||||
\(117\) | −10.4324 | − | 8.75384i | −0.964477 | − | 0.809293i | ||||
\(118\) | −7.98293 | − | 2.90555i | −0.734888 | − | 0.267477i | ||||
\(119\) | −0.152704 | + | 0.0555796i | −0.0139983 | + | 0.00509497i | ||||
\(120\) | −5.70961 | + | 4.79093i | −0.521213 | + | 0.437350i | ||||
\(121\) | 3.02094 | + | 5.23243i | 0.274631 | + | 0.475675i | ||||
\(122\) | −6.14930 | + | 10.6509i | −0.556731 | + | 0.964287i | ||||
\(123\) | −1.23783 | − | 7.02006i | −0.111611 | − | 0.632977i | ||||
\(124\) | −0.228026 | − | 1.29320i | −0.0204773 | − | 0.116133i | ||||
\(125\) | 4.05690 | − | 7.02676i | 0.362861 | − | 0.628493i | ||||
\(126\) | −1.23783 | − | 2.14398i | −0.110274 | − | 0.191001i | ||||
\(127\) | −8.88919 | + | 7.45891i | −0.788788 | + | 0.661871i | −0.945445 | − | 0.325782i | \(-0.894373\pi\) |
0.156657 | + | 0.987653i | \(0.449928\pi\) | |||||||
\(128\) | −8.92514 | + | 3.24849i | −0.788879 | + | 0.287128i | ||||
\(129\) | −10.5569 | − | 3.84240i | −0.929484 | − | 0.338304i | ||||
\(130\) | −2.33615 | − | 1.96026i | −0.204894 | − | 0.171927i | ||||
\(131\) | 0.320422 | − | 1.81720i | 0.0279954 | − | 0.158770i | −0.967605 | − | 0.252468i | \(-0.918758\pi\) |
0.995601 | + | 0.0936982i | \(0.0298689\pi\) | |||||||
\(132\) | 1.18479 | 0.103123 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.3405 | −0.893282 | ||||||||
\(135\) | 1.00727 | − | 5.71253i | 0.0866923 | − | 0.491657i | ||||
\(136\) | −1.05509 | − | 0.885328i | −0.0904735 | − | 0.0759162i | ||||
\(137\) | −0.240352 | − | 0.0874810i | −0.0205347 | − | 0.00747401i | 0.331732 | − | 0.943374i | \(-0.392367\pi\) |
−0.352267 | + | 0.935900i | \(0.614589\pi\) | |||||||
\(138\) | 9.82295 | − | 3.57526i | 0.836185 | − | 0.304346i | ||||
\(139\) | 3.26604 | − | 2.74054i | 0.277022 | − | 0.232449i | −0.493682 | − | 0.869643i | \(-0.664349\pi\) |
0.770704 | + | 0.637193i | \(0.219905\pi\) | |||||||
\(140\) | 0.0282185 | + | 0.0488759i | 0.00238490 | + | 0.00413076i | ||||
\(141\) | 10.4966 | − | 18.1806i | 0.883973 | − | 1.53109i | ||||
\(142\) | 2.17705 | + | 12.3467i | 0.182694 | + | 1.03611i | ||||
\(143\) | 0.995252 | + | 5.64436i | 0.0832272 | + | 0.472005i | ||||
\(144\) | 9.51367 | − | 16.4782i | 0.792806 | − | 1.37318i | ||||
\(145\) | −3.02481 | − | 5.23913i | −0.251197 | − | 0.435086i | ||||
\(146\) | 1.43376 | − | 1.20307i | 0.118659 | − | 0.0995668i | ||||
\(147\) | 18.6138 | − | 6.77487i | 1.53524 | − | 0.558782i | ||||
\(148\) | −0.858441 | − | 0.312447i | −0.0705634 | − | 0.0256830i | ||||
\(149\) | 12.6853 | + | 10.6442i | 1.03922 | + | 0.872007i | 0.991919 | − | 0.126874i | \(-0.0404945\pi\) |
0.0472981 | + | 0.998881i | \(0.484939\pi\) | |||||||
\(150\) | −2.84730 | + | 16.1478i | −0.232481 | + | 1.31846i | ||||
\(151\) | 4.36184 | 0.354962 | 0.177481 | − | 0.984124i | \(-0.443205\pi\) | ||||
0.177481 | + | 0.984124i | \(0.443205\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.47565 | 0.200145 | ||||||||
\(154\) | −0.180922 | + | 1.02606i | −0.0145791 | + | 0.0826823i | ||||
\(155\) | 4.78699 | + | 4.01676i | 0.384500 | + | 0.322634i | ||||
\(156\) | −1.28699 | − | 0.468426i | −0.103042 | − | 0.0375041i | ||||
\(157\) | 9.03849 | − | 3.28974i | 0.721350 | − | 0.262550i | 0.0448510 | − | 0.998994i | \(-0.485719\pi\) |
0.676499 | + | 0.736444i | \(0.263496\pi\) | |||||||
\(158\) | 12.2253 | − | 10.2583i | 0.972596 | − | 0.816105i | ||||
\(159\) | −4.08512 | − | 7.07564i | −0.323971 | − | 0.561135i | ||||
\(160\) | −0.458111 | + | 0.793471i | −0.0362168 | + | 0.0627294i | ||||
\(161\) | −0.162504 | − | 0.921605i | −0.0128071 | − | 0.0726326i | ||||
\(162\) | 0.730085 | + | 4.14052i | 0.0573609 | + | 0.325310i | ||||
\(163\) | −4.17752 | + | 7.23567i | −0.327209 | + | 0.566742i | −0.981957 | − | 0.189105i | \(-0.939441\pi\) |
0.654748 | + | 0.755847i | \(0.272775\pi\) | |||||||
\(164\) | −0.228741 | − | 0.396191i | −0.0178617 | − | 0.0309373i | ||||
\(165\) | −4.31908 | + | 3.62414i | −0.336240 | + | 0.282139i | ||||
\(166\) | 18.7763 | − | 6.83402i | 1.45732 | − | 0.530423i | ||||
\(167\) | 3.79174 | + | 1.38008i | 0.293413 | + | 0.106794i | 0.484533 | − | 0.874773i | \(-0.338990\pi\) |
−0.191120 | + | 0.981567i | \(0.561212\pi\) | |||||||
\(168\) | −2.25490 | − | 1.89209i | −0.173969 | − | 0.145978i | ||||
\(169\) | −1.10694 | + | 6.27779i | −0.0851496 | + | 0.482907i | ||||
\(170\) | 0.554378 | 0.0425188 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.721000 | −0.0549758 | ||||||||
\(173\) | 3.49794 | − | 19.8378i | 0.265943 | − | 1.50824i | −0.500391 | − | 0.865799i | \(-0.666811\pi\) |
0.766335 | − | 0.642441i | \(-0.222078\pi\) | |||||||
\(174\) | 20.4440 | + | 17.1546i | 1.54986 | + | 1.30049i | ||||
\(175\) | 1.37939 | + | 0.502055i | 0.104272 | + | 0.0379518i | ||||
\(176\) | −7.52481 | + | 2.73881i | −0.567204 | + | 0.206445i | ||||
\(177\) | 13.9081 | − | 11.6703i | 1.04539 | − | 0.877190i | ||||
\(178\) | −6.93242 | − | 12.0073i | −0.519607 | − | 0.899985i | ||||
\(179\) | −5.75624 | + | 9.97011i | −0.430242 | + | 0.745201i | −0.996894 | − | 0.0787564i | \(-0.974905\pi\) |
0.566652 | + | 0.823957i | \(0.308238\pi\) | |||||||
\(180\) | −0.149300 | − | 0.846723i | −0.0111282 | − | 0.0631110i | ||||
\(181\) | −1.48246 | − | 8.40744i | −0.110190 | − | 0.624920i | −0.989020 | − | 0.147784i | \(-0.952786\pi\) |
0.878829 | − | 0.477136i | \(-0.158325\pi\) | |||||||
\(182\) | 0.602196 | − | 1.04303i | 0.0446378 | − | 0.0773149i | ||||
\(183\) | −13.1420 | − | 22.7627i | −0.971487 | − | 1.68266i | ||||
\(184\) | 6.07604 | − | 5.09840i | 0.447931 | − | 0.375859i | ||||
\(185\) | 4.08512 | − | 1.48686i | 0.300344 | − | 0.109316i | ||||
\(186\) | −25.9047 | − | 9.42853i | −1.89942 | − | 0.691333i | ||||
\(187\) | −0.798133 | − | 0.669713i | −0.0583653 | − | 0.0489743i | ||||
\(188\) | 0.233956 | − | 1.32683i | 0.0170630 | − | 0.0967689i | ||||
\(189\) | 2.29086 | 0.166635 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.3354 | 1.32671 | 0.663353 | − | 0.748307i | \(-0.269133\pi\) | ||||
0.663353 | + | 0.748307i | \(0.269133\pi\) | |||||||
\(192\) | 4.29813 | − | 24.3759i | 0.310191 | − | 1.75918i | ||||
\(193\) | −0.228026 | − | 0.191336i | −0.0164137 | − | 0.0137727i | 0.634544 | − | 0.772887i | \(-0.281188\pi\) |
−0.650958 | + | 0.759114i | \(0.725632\pi\) | |||||||
\(194\) | 11.9684 | + | 4.35613i | 0.859279 | + | 0.312752i | ||||
\(195\) | 6.12449 | − | 2.22913i | 0.438583 | − | 0.159631i | ||||
\(196\) | 0.973841 | − | 0.817150i | 0.0695601 | − | 0.0583678i | ||||
\(197\) | −6.57057 | − | 11.3806i | −0.468134 | − | 0.810832i | 0.531203 | − | 0.847245i | \(-0.321740\pi\) |
−0.999337 | + | 0.0364128i | \(0.988407\pi\) | |||||||
\(198\) | 7.93629 | − | 13.7461i | 0.564008 | − | 0.976890i | ||||
\(199\) | −0.0445774 | − | 0.252811i | −0.00316001 | − | 0.0179213i | 0.983187 | − | 0.182602i | \(-0.0584519\pi\) |
−0.986347 | + | 0.164680i | \(0.947341\pi\) | |||||||
\(200\) | 2.16044 | + | 12.2525i | 0.152766 | + | 0.866382i | ||||
\(201\) | 11.0496 | − | 19.1385i | 0.779381 | − | 1.34993i | ||||
\(202\) | 6.23055 | + | 10.7916i | 0.438380 | + | 0.759297i | ||||
\(203\) | 1.83022 | − | 1.53574i | 0.128456 | − | 0.107788i | ||||
\(204\) | 0.233956 | − | 0.0851529i | 0.0163802 | − | 0.00596189i | ||||
\(205\) | 2.04576 | + | 0.744596i | 0.142882 | + | 0.0520048i | ||||
\(206\) | 5.68660 | + | 4.77163i | 0.396204 | + | 0.332455i | ||||
\(207\) | −2.47565 | + | 14.0401i | −0.172070 | + | 0.975856i | ||||
\(208\) | 9.25671 | 0.641837 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.18479 | 0.0817585 | ||||||||
\(211\) | −0.425145 | + | 2.41112i | −0.0292682 | + | 0.165988i | −0.995938 | − | 0.0900364i | \(-0.971302\pi\) |
0.966670 | + | 0.256024i | \(0.0824128\pi\) | |||||||
\(212\) | −0.401674 | − | 0.337044i | −0.0275871 | − | 0.0231483i | ||||
\(213\) | −25.1780 | − | 9.16404i | −1.72517 | − | 0.627909i | ||||
\(214\) | 12.9572 | − | 4.71605i | 0.885738 | − | 0.322382i | ||||
\(215\) | 2.62836 | − | 2.20545i | 0.179252 | − | 0.150411i | ||||
\(216\) | 9.70826 | + | 16.8152i | 0.660564 | + | 1.14413i | ||||
\(217\) | −1.23396 | + | 2.13727i | −0.0837664 | + | 0.145088i | ||||
\(218\) | 0.426489 | + | 2.41874i | 0.0288855 | + | 0.163818i | ||||
\(219\) | 0.694593 | + | 3.93923i | 0.0469362 | + | 0.266189i | ||||
\(220\) | −0.180922 | + | 0.313366i | −0.0121978 | + | 0.0211272i | ||||
\(221\) | 0.602196 | + | 1.04303i | 0.0405081 | + | 0.0701621i | ||||
\(222\) | −14.6912 | + | 12.3274i | −0.986008 | + | 0.827359i | ||||
\(223\) | −7.99660 | + | 2.91052i | −0.535492 | + | 0.194903i | −0.595589 | − | 0.803289i | \(-0.703081\pi\) |
0.0600971 | + | 0.998193i | \(0.480859\pi\) | |||||||
\(224\) | −0.340022 | − | 0.123758i | −0.0227187 | − | 0.00826893i | ||||
\(225\) | −17.1309 | − | 14.3745i | −1.14206 | − | 0.958301i | ||||
\(226\) | 4.13816 | − | 23.4686i | 0.275266 | − | 1.56111i | ||||
\(227\) | 14.1506 | 0.939211 | 0.469606 | − | 0.882876i | \(-0.344396\pi\) | ||||
0.469606 | + | 0.882876i | \(0.344396\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.5330 | −1.35686 | −0.678430 | − | 0.734665i | \(-0.737339\pi\) | ||||
−0.678430 | + | 0.734665i | \(0.737339\pi\) | |||||||
\(230\) | −0.554378 | + | 3.14403i | −0.0365546 | + | 0.207311i | ||||
\(231\) | −1.70574 | − | 1.43128i | −0.112229 | − | 0.0941715i | ||||
\(232\) | 19.0287 | + | 6.92588i | 1.24929 | + | 0.454706i | ||||
\(233\) | −16.5865 | + | 6.03698i | −1.08662 | + | 0.395496i | −0.822366 | − | 0.568959i | \(-0.807346\pi\) |
−0.264249 | + | 0.964454i | \(0.585124\pi\) | |||||||
\(234\) | −14.0556 | + | 11.7940i | −0.918841 | + | 0.770999i | ||||
\(235\) | 3.20574 | + | 5.55250i | 0.209119 | + | 0.362205i | ||||
\(236\) | 0.582596 | − | 1.00909i | 0.0379238 | − | 0.0656859i | ||||
\(237\) | 5.92262 | + | 33.5888i | 0.384715 | + | 2.18183i | ||||
\(238\) | 0.0380187 | + | 0.215615i | 0.00246438 | + | 0.0139762i | ||||
\(239\) | −1.17617 | + | 2.03719i | −0.0760804 | + | 0.131775i | −0.901556 | − | 0.432663i | \(-0.857574\pi\) |
0.825475 | + | 0.564438i | \(0.190907\pi\) | |||||||
\(240\) | 4.55303 | + | 7.88609i | 0.293897 | + | 0.509045i | ||||
\(241\) | −10.5719 | + | 8.87089i | −0.680997 | + | 0.571424i | −0.916298 | − | 0.400498i | \(-0.868837\pi\) |
0.235300 | + | 0.971923i | \(0.424393\pi\) | |||||||
\(242\) | 7.64930 | − | 2.78412i | 0.491716 | − | 0.178970i | ||||
\(243\) | 10.1518 | + | 3.69496i | 0.651240 | + | 0.237032i | ||||
\(244\) | −1.29220 | − | 1.08429i | −0.0827249 | − | 0.0694144i | ||||
\(245\) | −1.05051 | + | 5.95772i | −0.0671144 | + | 0.380625i | ||||
\(246\) | −9.60401 | −0.612329 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −20.9172 | −1.32824 | ||||||||
\(249\) | −7.41534 | + | 42.0545i | −0.469928 | + | 2.66510i | ||||
\(250\) | −8.37417 | − | 7.02676i | −0.529629 | − | 0.444412i | ||||
\(251\) | 3.91400 | + | 1.42458i | 0.247050 | + | 0.0899187i | 0.462577 | − | 0.886579i | \(-0.346925\pi\) |
−0.215528 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(252\) | 0.319078 | − | 0.116135i | 0.0201000 | − | 0.00731581i | ||||
\(253\) | 4.59627 | − | 3.85673i | 0.288965 | − | 0.242470i | ||||
\(254\) | 7.81702 | + | 13.5395i | 0.490483 | + | 0.849542i | ||||
\(255\) | −0.592396 | + | 1.02606i | −0.0370973 | + | 0.0642544i | ||||
\(256\) | −0.763356 | − | 4.32921i | −0.0477098 | − | 0.270575i | ||||
\(257\) | −0.115867 | − | 0.657115i | −0.00722759 | − | 0.0409897i | 0.980981 | − | 0.194105i | \(-0.0621804\pi\) |
−0.988208 | + | 0.153116i | \(0.951069\pi\) | |||||||
\(258\) | −7.56805 | + | 13.1082i | −0.471166 | + | 0.816084i | ||||
\(259\) | 0.858441 | + | 1.48686i | 0.0533409 | + | 0.0923892i | ||||
\(260\) | 0.320422 | − | 0.268866i | 0.0198717 | − | 0.0166744i | ||||
\(261\) | −34.2028 | + | 12.4488i | −2.11710 | + | 0.770561i | ||||
\(262\) | −2.33615 | − | 0.850290i | −0.144328 | − | 0.0525311i | ||||
\(263\) | 8.73261 | + | 7.32753i | 0.538476 | + | 0.451835i | 0.871016 | − | 0.491254i | \(-0.163461\pi\) |
−0.332540 | + | 0.943089i | \(0.607906\pi\) | |||||||
\(264\) | 3.27719 | − | 18.5859i | 0.201697 | − | 1.14388i | ||||
\(265\) | 2.49525 | 0.153282 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6313 | 1.81341 | ||||||||
\(268\) | 0.246282 | − | 1.39673i | 0.0150441 | − | 0.0853191i | ||||
\(269\) | −14.8537 | − | 12.4637i | −0.905646 | − | 0.759927i | 0.0656400 | − | 0.997843i | \(-0.479091\pi\) |
−0.971286 | + | 0.237916i | \(0.923536\pi\) | |||||||
\(270\) | −7.34389 | − | 2.67296i | −0.446935 | − | 0.162671i | ||||
\(271\) | 12.5865 | − | 4.58110i | 0.764573 | − | 0.278282i | 0.0698486 | − | 0.997558i | \(-0.477748\pi\) |
0.694725 | + | 0.719276i | \(0.255526\pi\) | |||||||
\(272\) | −1.28905 | + | 1.08164i | −0.0781600 | + | 0.0655841i | ||||
\(273\) | 1.28699 | + | 2.22913i | 0.0778921 | + | 0.134913i | ||||
\(274\) | −0.172304 | + | 0.298439i | −0.0104093 | + | 0.0180294i | ||||
\(275\) | 1.63429 | + | 9.26849i | 0.0985511 | + | 0.558911i | ||||
\(276\) | 0.248970 | + | 1.41198i | 0.0149863 | + | 0.0849913i | ||||
\(277\) | −8.87346 | + | 15.3693i | −0.533154 | + | 0.923450i | 0.466096 | + | 0.884734i | \(0.345660\pi\) |
−0.999250 | + | 0.0387161i | \(0.987673\pi\) | |||||||
\(278\) | −2.87211 | − | 4.97464i | −0.172258 | − | 0.298359i | ||||
\(279\) | 28.8011 | − | 24.1670i | 1.72428 | − | 1.44684i | ||||
\(280\) | 0.844770 | − | 0.307471i | 0.0504847 | − | 0.0183749i | ||||
\(281\) | 17.1766 | + | 6.25179i | 1.02467 | + | 0.372950i | 0.799050 | − | 0.601265i | \(-0.205336\pi\) |
0.225622 | + | 0.974215i | \(0.427558\pi\) | |||||||
\(282\) | −21.6668 | − | 18.1806i | −1.29024 | − | 1.08264i | ||||
\(283\) | 1.33497 | − | 7.57099i | 0.0793557 | − | 0.450049i | −0.919077 | − | 0.394079i | \(-0.871064\pi\) |
0.998432 | − | 0.0559700i | \(-0.0178251\pi\) | |||||||
\(284\) | −1.71957 | −0.102038 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.72193 | 0.456608 | ||||||||
\(287\) | −0.149300 | + | 0.846723i | −0.00881290 | + | 0.0499805i | ||||
\(288\) | 4.22281 | + | 3.54336i | 0.248832 | + | 0.208794i | ||||
\(289\) | 15.7690 | + | 5.73946i | 0.927590 | + | 0.337615i | ||||
\(290\) | −7.65910 | + | 2.78768i | −0.449758 | + | 0.163698i | ||||
\(291\) | −20.8516 | + | 17.4966i | −1.22234 | + | 1.02567i | ||||
\(292\) | 0.128356 | + | 0.222318i | 0.00751144 | + | 0.0130102i | ||||
\(293\) | −5.25150 | + | 9.09586i | −0.306796 | + | 0.531386i | −0.977660 | − | 0.210195i | \(-0.932590\pi\) |
0.670864 | + | 0.741581i | \(0.265924\pi\) | |||||||
\(294\) | −4.63429 | − | 26.2823i | −0.270277 | − | 1.53282i | ||||
\(295\) | 0.962859 | + | 5.46064i | 0.0560598 | + | 0.317931i | ||||
\(296\) | −7.27584 | + | 12.6021i | −0.422900 | + | 0.732484i | ||||
\(297\) | 7.34389 | + | 12.7200i | 0.426136 | + | 0.738089i | ||||
\(298\) | 17.0908 | − | 14.3409i | 0.990044 | − | 0.830745i | ||||
\(299\) | −6.51754 | + | 2.37219i | −0.376919 | + | 0.137187i | ||||
\(300\) | −2.11334 | − | 0.769193i | −0.122014 | − | 0.0444094i | ||||
\(301\) | 1.03802 | + | 0.871001i | 0.0598304 | + | 0.0502037i | ||||
\(302\) | 1.02048 | − | 5.78742i | 0.0587219 | − | 0.333028i | ||||
\(303\) | −26.6313 | −1.52993 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.02734 | 0.459644 | ||||||||
\(306\) | 0.579193 | − | 3.28476i | 0.0331102 | − | 0.187777i | ||||
\(307\) | 8.95929 | + | 7.51774i | 0.511334 | + | 0.429060i | 0.861598 | − | 0.507591i | \(-0.169464\pi\) |
−0.350264 | + | 0.936651i | \(0.613908\pi\) | |||||||
\(308\) | −0.134285 | − | 0.0488759i | −0.00765162 | − | 0.00278496i | ||||
\(309\) | −14.9081 | + | 5.42609i | −0.848091 | + | 0.308680i | ||||
\(310\) | 6.44949 | − | 5.41177i | 0.366307 | − | 0.307368i | ||||
\(311\) | −7.98293 | − | 13.8268i | −0.452670 | − | 0.784048i | 0.545881 | − | 0.837863i | \(-0.316195\pi\) |
−0.998551 | + | 0.0538151i | \(0.982862\pi\) | |||||||
\(312\) | −10.9081 | + | 18.8933i | −0.617548 | + | 1.06962i | ||||
\(313\) | −4.62402 | − | 26.2241i | −0.261365 | − | 1.48227i | −0.779190 | − | 0.626788i | \(-0.784369\pi\) |
0.517825 | − | 0.855487i | \(-0.326742\pi\) | |||||||
\(314\) | −2.25031 | − | 12.7622i | −0.126993 | − | 0.720211i | ||||
\(315\) | −0.807934 | + | 1.39938i | −0.0455219 | + | 0.0788462i | ||||
\(316\) | 1.09446 | + | 1.89565i | 0.0615679 | + | 0.106639i | ||||
\(317\) | −22.6229 | + | 18.9829i | −1.27063 | + | 1.06618i | −0.276164 | + | 0.961111i | \(0.589063\pi\) |
−0.994465 | + | 0.105073i | \(0.966492\pi\) | |||||||
\(318\) | −10.3439 | + | 3.76487i | −0.580057 | + | 0.211123i | ||||
\(319\) | 14.3944 | + | 5.23913i | 0.805932 | + | 0.293335i | ||||
\(320\) | 5.79086 | + | 4.85911i | 0.323719 | + | 0.271632i | ||||
\(321\) | −5.11721 | + | 29.0211i | −0.285615 | + | 1.61980i | ||||
\(322\) | −1.26083 | −0.0702633 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.576666 | −0.0320370 | ||||||||
\(325\) | 1.88919 | − | 10.7141i | 0.104793 | − | 0.594311i | ||||
\(326\) | 8.62314 | + | 7.23567i | 0.477592 | + | 0.400747i | ||||
\(327\) | −4.93242 | − | 1.79525i | −0.272763 | − | 0.0992777i | ||||
\(328\) | −6.84776 | + | 2.49238i | −0.378104 | + | 0.137619i | ||||
\(329\) | −1.93969 | + | 1.62760i | −0.106939 | + | 0.0897322i | ||||
\(330\) | 3.79813 | + | 6.57856i | 0.209080 | + | 0.362138i | ||||
\(331\) | 13.8327 | − | 23.9590i | 0.760317 | − | 1.31691i | −0.182371 | − | 0.983230i | \(-0.558377\pi\) |
0.942687 | − | 0.333677i | \(-0.108290\pi\) | |||||||
\(332\) | 0.475900 | + | 2.69896i | 0.0261184 | + | 0.148125i | ||||
\(333\) | −4.54189 | − | 25.7583i | −0.248894 | − | 1.41155i | ||||
\(334\) | 2.71823 | − | 4.70810i | 0.148735 | − | 0.257616i | ||||
\(335\) | 3.37464 | + | 5.84504i | 0.184376 | + | 0.319349i | ||||
\(336\) | −2.75490 | + | 2.31164i | −0.150292 | + | 0.126110i | ||||
\(337\) | 16.7827 | − | 6.10841i | 0.914212 | − | 0.332746i | 0.158279 | − | 0.987394i | \(-0.449406\pi\) |
0.755934 | + | 0.654648i | \(0.227183\pi\) | |||||||
\(338\) | 8.07057 | + | 2.93745i | 0.438981 | + | 0.159776i | ||||
\(339\) | 39.0146 | + | 32.7371i | 2.11898 | + | 1.77804i | ||||
\(340\) | −0.0132037 | + | 0.0748822i | −0.000716074 | + | 0.00406106i | ||||
\(341\) | −15.8229 | −0.856861 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.82026 | −0.260270 | ||||||||
\(344\) | −1.99432 | + | 11.3103i | −0.107526 | + | 0.609813i | ||||
\(345\) | −5.22668 | − | 4.38571i | −0.281395 | − | 0.236119i | ||||
\(346\) | −25.5030 | − | 9.28233i | −1.37105 | − | 0.499021i | ||||
\(347\) | 5.45084 | − | 1.98394i | 0.292616 | − | 0.106504i | −0.191541 | − | 0.981485i | \(-0.561348\pi\) |
0.484157 | + | 0.874981i | \(0.339126\pi\) | |||||||
\(348\) | −2.80406 | + | 2.35289i | −0.150314 | + | 0.126128i | ||||
\(349\) | −2.68614 | − | 4.65253i | −0.143786 | − | 0.249044i | 0.785134 | − | 0.619326i | \(-0.212594\pi\) |
−0.928919 | + | 0.370282i | \(0.879261\pi\) | |||||||
\(350\) | 0.988856 | − | 1.71275i | 0.0528566 | − | 0.0915502i | ||||
\(351\) | −2.94831 | − | 16.7207i | −0.157369 | − | 0.892485i | ||||
\(352\) | −0.402856 | − | 2.28471i | −0.0214723 | − | 0.121775i | ||||
\(353\) | 12.6172 | − | 21.8537i | 0.671546 | − | 1.16315i | −0.305919 | − | 0.952057i | \(-0.598964\pi\) |
0.977466 | − | 0.211095i | \(-0.0677029\pi\) | |||||||
\(354\) | −12.2306 | − | 21.1839i | −0.650047 | − | 1.12591i | ||||
\(355\) | 6.26857 | − | 5.25996i | 0.332701 | − | 0.279169i | ||||
\(356\) | 1.78699 | − | 0.650411i | 0.0947102 | − | 0.0344717i | ||||
\(357\) | −0.439693 | − | 0.160035i | −0.0232710 | − | 0.00846995i | ||||
\(358\) | 11.8819 | + | 9.97011i | 0.627979 | + | 0.526937i | ||||
\(359\) | 1.16116 | − | 6.58526i | 0.0612837 | − | 0.347557i | −0.938712 | − | 0.344702i | \(-0.887980\pi\) |
0.999996 | − | 0.00285518i | \(-0.000908833\pi\) | |||||||
\(360\) | −13.6955 | −0.721818 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −11.5021 | −0.604535 | ||||||||
\(363\) | −3.02094 | + | 17.1326i | −0.158558 | + | 0.899230i | ||||
\(364\) | 0.126545 | + | 0.106183i | 0.00663274 | + | 0.00556553i | ||||
\(365\) | −1.14796 | − | 0.417822i | −0.0600868 | − | 0.0218698i | ||||
\(366\) | −33.2768 | + | 12.1118i | −1.73941 | + | 0.633092i | ||||
\(367\) | 6.21941 | − | 5.21870i | 0.324650 | − | 0.272414i | −0.465865 | − | 0.884856i | \(-0.654257\pi\) |
0.790516 | + | 0.612441i | \(0.209812\pi\) | |||||||
\(368\) | −4.84524 | − | 8.39220i | −0.252575 | − | 0.437473i | ||||
\(369\) | 6.54916 | − | 11.3435i | 0.340936 | − | 0.590518i | ||||
\(370\) | −1.01707 | − | 5.76811i | −0.0528752 | − | 0.299870i | ||||
\(371\) | 0.171122 | + | 0.970481i | 0.00888421 | + | 0.0503849i | ||||
\(372\) | 1.89053 | − | 3.27449i | 0.0980194 | − | 0.169775i | ||||
\(373\) | 17.4488 | + | 30.2222i | 0.903463 | + | 1.56484i | 0.822967 | + | 0.568090i | \(0.192317\pi\) |
0.0804968 | + | 0.996755i | \(0.474349\pi\) | |||||||
\(374\) | −1.07532 | + | 0.902302i | −0.0556036 | + | 0.0466569i | ||||
\(375\) | 21.9538 | − | 7.99054i | 1.13369 | − | 0.412630i | ||||
\(376\) | −20.1668 | − | 7.34013i | −1.04003 | − | 0.378538i | ||||
\(377\) | −13.5646 | − | 11.3821i | −0.698615 | − | 0.586207i | ||||
\(378\) | 0.535959 | − | 3.03958i | 0.0275668 | − | 0.156339i | ||||
\(379\) | −1.70140 | −0.0873950 | −0.0436975 | − | 0.999045i | \(-0.513914\pi\) | ||||
−0.0436975 | + | 0.999045i | \(0.513914\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −33.4124 | −1.71177 | ||||||||
\(382\) | 4.28968 | − | 24.3280i | 0.219479 | − | 1.24473i | ||||
\(383\) | −2.24969 | − | 1.88771i | −0.114954 | − | 0.0964575i | 0.583499 | − | 0.812114i | \(-0.301683\pi\) |
−0.698453 | + | 0.715656i | \(0.746128\pi\) | |||||||
\(384\) | −25.6989 | − | 9.35365i | −1.31144 | − | 0.477326i | ||||
\(385\) | 0.639033 | − | 0.232589i | 0.0325681 | − | 0.0118538i | ||||
\(386\) | −0.307218 | + | 0.257787i | −0.0156370 | + | 0.0131210i | ||||
\(387\) | −10.3216 | − | 17.8775i | −0.524677 | − | 0.908767i | ||||
\(388\) | −0.873455 | + | 1.51287i | −0.0443430 | + | 0.0768043i | ||||
\(389\) | −4.26604 | − | 24.1939i | −0.216297 | − | 1.22668i | −0.878642 | − | 0.477482i | \(-0.841550\pi\) |
0.662344 | − | 0.749199i | \(-0.269562\pi\) | |||||||
\(390\) | −1.52481 | − | 8.64766i | −0.0772120 | − | 0.437891i | ||||
\(391\) | 0.630415 | − | 1.09191i | 0.0318815 | − | 0.0552203i | ||||
\(392\) | −10.1250 | − | 17.5369i | −0.511387 | − | 0.885749i | ||||
\(393\) | 4.07011 | − | 3.41523i | 0.205310 | − | 0.172275i | ||||
\(394\) | −16.6373 | + | 6.05547i | −0.838174 | + | 0.305070i | ||||
\(395\) | −9.78833 | − | 3.56266i | −0.492504 | − | 0.179257i | ||||
\(396\) | 1.66772 | + | 1.39938i | 0.0838060 | + | 0.0703216i | ||||
\(397\) | −5.52822 | + | 31.3521i | −0.277453 | + | 1.57352i | 0.453606 | + | 0.891202i | \(0.350137\pi\) |
−0.731059 | + | 0.682314i | \(0.760974\pi\) | |||||||
\(398\) | −0.345866 | −0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | 0.0150147 | − | 0.0851529i | 0.000749801 | − | 0.00425233i | −0.984431 | − | 0.175774i | \(-0.943757\pi\) |
0.985180 | + | 0.171522i | \(0.0548683\pi\) | |||||||
\(402\) | −22.8084 | − | 19.1385i | −1.13758 | − | 0.954543i | ||||
\(403\) | 17.1878 | + | 6.25584i | 0.856185 | + | 0.311626i | ||||
\(404\) | −1.60607 | + | 0.584561i | −0.0799048 | + | 0.0290830i | ||||
\(405\) | 2.10220 | − | 1.76395i | 0.104459 | − | 0.0876515i | ||||
\(406\) | −1.60947 | − | 2.78768i | −0.0798767 | − | 0.138350i | ||||
\(407\) | −5.50387 | + | 9.53298i | −0.272817 | + | 0.472532i | ||||
\(408\) | −0.688663 | − | 3.90560i | −0.0340939 | − | 0.193356i | ||||
\(409\) | −3.47400 | − | 19.7021i | −0.171778 | − | 0.974204i | −0.941797 | − | 0.336182i | \(-0.890864\pi\) |
0.770019 | − | 0.638021i | \(-0.220247\pi\) | |||||||
\(410\) | 1.46657 | − | 2.54017i | 0.0724286 | − | 0.125450i | ||||
\(411\) | −0.368241 | − | 0.637812i | −0.0181640 | − | 0.0314609i | ||||
\(412\) | −0.779963 | + | 0.654467i | −0.0384260 | + | 0.0322433i | ||||
\(413\) | −2.05778 | + | 0.748971i | −0.101257 | + | 0.0368545i | ||||
\(414\) | 18.0496 | + | 6.56953i | 0.887091 | + | 0.322875i | ||||
\(415\) | −9.99067 | − | 8.38316i | −0.490423 | − | 0.411513i | ||||
\(416\) | −0.465690 | + | 2.64106i | −0.0228323 | + | 0.129488i | ||||
\(417\) | 12.2763 | 0.601174 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.4097 | 1.24135 | 0.620673 | − | 0.784070i | \(-0.286859\pi\) | ||||
0.620673 | + | 0.784070i | \(0.286859\pi\) | |||||||
\(420\) | −0.0282185 | + | 0.160035i | −0.00137692 | + | 0.00780891i | ||||
\(421\) | −3.34730 | − | 2.80872i | −0.163137 | − | 0.136888i | 0.557565 | − | 0.830134i | \(-0.311736\pi\) |
−0.720702 | + | 0.693245i | \(0.756180\pi\) | |||||||
\(422\) | 3.09967 | + | 1.12819i | 0.150890 | + | 0.0549193i | ||||
\(423\) | 36.2486 | − | 13.1934i | 1.76247 | − | 0.641485i | ||||
\(424\) | −6.39827 | + | 5.36879i | −0.310727 | + | 0.260731i | ||||
\(425\) | 0.988856 | + | 1.71275i | 0.0479665 | + | 0.0830805i | ||||
\(426\) | −18.0496 | + | 31.2629i | −0.874507 | + | 1.51469i | ||||
\(427\) | 0.550507 | + | 3.12208i | 0.0266409 | + | 0.151088i | ||||
\(428\) | 0.328411 | + | 1.86251i | 0.0158744 | + | 0.0900279i | ||||
\(429\) | −8.25150 | + | 14.2920i | −0.398386 | + | 0.690025i | ||||
\(430\) | −2.31134 | − | 4.00335i | −0.111463 | − | 0.193059i | ||||
\(431\) | 29.3444 | − | 24.6228i | 1.41347 | − | 1.18604i | 0.458736 | − | 0.888572i | \(-0.348302\pi\) |
0.954732 | − | 0.297468i | \(-0.0961422\pi\) | |||||||
\(432\) | 22.2913 | − | 8.11338i | 1.07249 | − | 0.390355i | ||||
\(433\) | −17.0376 | − | 6.20118i | −0.818775 | − | 0.298010i | −0.101532 | − | 0.994832i | \(-0.532374\pi\) |
−0.717244 | + | 0.696823i | \(0.754597\pi\) | |||||||
\(434\) | 2.54710 | + | 2.13727i | 0.122265 | + | 0.102592i | ||||
\(435\) | 3.02481 | − | 17.1546i | 0.145029 | − | 0.822499i | ||||
\(436\) | −0.336867 | −0.0161330 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 5.38919 | 0.257505 | ||||||||
\(439\) | 1.05762 | − | 5.99806i | 0.0504774 | − | 0.286272i | −0.949112 | − | 0.314940i | \(-0.898016\pi\) |
0.999589 | + | 0.0286685i | \(0.00912670\pi\) | |||||||
\(440\) | 4.41534 | + | 3.70491i | 0.210493 | + | 0.176625i | ||||
\(441\) | 34.2028 | + | 12.4488i | 1.62870 | + | 0.592800i | ||||
\(442\) | 1.52481 | − | 0.554987i | 0.0725280 | − | 0.0263981i | ||||
\(443\) | −22.8995 | + | 19.2149i | −1.08799 | + | 0.912928i | −0.996559 | − | 0.0828833i | \(-0.973587\pi\) |
−0.0914266 | + | 0.995812i | \(0.529143\pi\) | |||||||
\(444\) | −1.31521 | − | 2.27801i | −0.0624170 | − | 0.108109i | ||||
\(445\) | −4.52481 | + | 7.83721i | −0.214497 | + | 0.371519i | ||||
\(446\) | 1.99092 | + | 11.2910i | 0.0942726 | + | 0.534646i | ||||
\(447\) | 8.27972 | + | 46.9566i | 0.391617 | + | 2.22097i | ||||
\(448\) | −1.49273 | + | 2.58548i | −0.0705247 | + | 0.122152i | ||||
\(449\) | −5.62495 | − | 9.74270i | −0.265458 | − | 0.459787i | 0.702226 | − | 0.711955i | \(-0.252190\pi\) |
−0.967683 | + | 0.252168i | \(0.918856\pi\) | |||||||
\(450\) | −23.0804 | + | 19.3667i | −1.08802 | + | 0.912957i | ||||
\(451\) | −5.18004 | + | 1.88538i | −0.243919 | + | 0.0887792i | ||||
\(452\) | 3.07145 | + | 1.11792i | 0.144469 | + | 0.0525824i | ||||
\(453\) | 9.62108 | + | 8.07305i | 0.452038 | + | 0.379305i | ||||
\(454\) | 3.31062 | − | 18.7755i | 0.155375 | − | 0.881176i | ||||
\(455\) | −0.786112 | −0.0368535 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.3901 | −1.09414 | −0.547072 | − | 0.837086i | \(-0.684258\pi\) | ||||
−0.547072 | + | 0.837086i | \(0.684258\pi\) | |||||||
\(458\) | −4.80381 | + | 27.2438i | −0.224468 | + | 1.27302i | ||||
\(459\) | 2.36437 | + | 1.98394i | 0.110359 | + | 0.0926025i | ||||
\(460\) | −0.411474 | − | 0.149764i | −0.0191851 | − | 0.00698280i | ||||
\(461\) | 34.4149 | − | 12.5260i | 1.60286 | − | 0.583395i | 0.622853 | − | 0.782339i | \(-0.285974\pi\) |
0.980011 | + | 0.198945i | \(0.0637514\pi\) | |||||||
\(462\) | −2.29813 | + | 1.92836i | −0.106919 | + | 0.0897156i | ||||
\(463\) | 21.4932 | + | 37.2273i | 0.998873 | + | 1.73010i | 0.540534 | + | 0.841322i | \(0.318222\pi\) |
0.458340 | + | 0.888777i | \(0.348444\pi\) | |||||||
\(464\) | 12.3701 | − | 21.4256i | 0.574265 | − | 0.994657i | ||||
\(465\) | 3.12449 | + | 17.7198i | 0.144895 | + | 0.821738i | ||||
\(466\) | 4.12954 | + | 23.4198i | 0.191297 | + | 1.08490i | ||||
\(467\) | −12.7981 | + | 22.1670i | −0.592227 | + | 1.02577i | 0.401705 | + | 0.915769i | \(0.368418\pi\) |
−0.993932 | + | 0.109998i | \(0.964916\pi\) | |||||||
\(468\) | −1.25830 | − | 2.17945i | −0.0581651 | − | 0.100745i | ||||
\(469\) | −2.04189 | + | 1.71335i | −0.0942857 | + | 0.0791151i | ||||
\(470\) | 8.11721 | − | 2.95442i | 0.374419 | − | 0.136277i | ||||
\(471\) | 26.0253 | + | 9.47243i | 1.19918 | + | 0.436466i | ||||
\(472\) | −14.2181 | − | 11.9304i | −0.654439 | − | 0.549140i | ||||
\(473\) | −1.50862 | + | 8.55580i | −0.0693663 | + | 0.393396i | ||||
\(474\) | 45.9522 | 2.11066 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.0300295 | −0.00137640 | ||||||||
\(477\) | 2.60694 | − | 14.7847i | 0.119364 | − | 0.676946i | ||||
\(478\) | 2.42783 | + | 2.03719i | 0.111046 | + | 0.0931791i | ||||
\(479\) | −35.8739 | − | 13.0570i | −1.63912 | − | 0.596591i | −0.652236 | − | 0.758016i | \(-0.726169\pi\) |
−0.986885 | + | 0.161424i | \(0.948391\pi\) | |||||||
\(480\) | −2.47906 | + | 0.902302i | −0.113153 | + | 0.0411843i | ||||
\(481\) | 9.74763 | − | 8.17923i | 0.444453 | − | 0.372941i | ||||
\(482\) | 9.29679 | + | 16.1025i | 0.423457 | + | 0.733449i | ||||
\(483\) | 1.34730 | − | 2.33359i | 0.0613041 | − | 0.106182i | ||||
\(484\) | 0.193877 | + | 1.09953i | 0.00881261 | + | 0.0499788i | ||||
\(485\) | −1.44356 | − | 8.18685i | −0.0655488 | − | 0.371746i | ||||
\(486\) | 7.27766 | − | 12.6053i | 0.330121 | − | 0.571787i | ||||
\(487\) | 3.88191 | + | 6.72367i | 0.175906 | + | 0.304678i | 0.940475 | − | 0.339864i | \(-0.110381\pi\) |
−0.764568 | + | 0.644543i | \(0.777048\pi\) | |||||||
\(488\) | −20.5835 | + | 17.2716i | −0.931773 | + | 0.781850i | ||||
\(489\) | −22.6065 | + | 8.22811i | −1.02230 | + | 0.372088i | ||||
\(490\) | 7.65910 | + | 2.78768i | 0.346003 | + | 0.125935i | ||||
\(491\) | −28.1313 | − | 23.6050i | −1.26955 | − | 1.06528i | −0.994596 | − | 0.103822i | \(-0.966893\pi\) |
−0.274954 | − | 0.961457i | \(-0.588663\pi\) | |||||||
\(492\) | 0.228741 | − | 1.29725i | 0.0103124 | − | 0.0584848i | ||||
\(493\) | 3.21894 | 0.144974 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.3601 | −0.465651 | ||||||||
\(496\) | −4.43763 | + | 25.1671i | −0.199256 | + | 1.13003i | ||||
\(497\) | 2.47565 | + | 2.07732i | 0.111048 | + | 0.0931805i | ||||
\(498\) | 54.0642 | + | 19.6778i | 2.42268 | + | 0.881782i | ||||
\(499\) | −4.62923 | + | 1.68490i | −0.207233 | + | 0.0754266i | −0.443551 | − | 0.896249i | \(-0.646281\pi\) |
0.236318 | + | 0.971676i | \(0.424059\pi\) | |||||||
\(500\) | 1.14858 | − | 0.963777i | 0.0513663 | − | 0.0431014i | ||||
\(501\) | 5.80928 | + | 10.0620i | 0.259539 | + | 0.449535i | ||||
\(502\) | 2.80587 | − | 4.85992i | 0.125232 | − | 0.216909i | ||||
\(503\) | 5.72163 | + | 32.4490i | 0.255115 | + | 1.44683i | 0.795778 | + | 0.605589i | \(0.207062\pi\) |
−0.540663 | + | 0.841239i | \(0.681827\pi\) | |||||||
\(504\) | −0.939226 | − | 5.32661i | −0.0418364 | − | 0.237266i | ||||
\(505\) | 4.06670 | − | 7.04374i | 0.180966 | − | 0.313442i | ||||
\(506\) | −4.04189 | − | 7.00076i | −0.179684 | − | 0.311222i | ||||
\(507\) | −14.0608 | + | 11.7984i | −0.624461 | + | 0.523985i | ||||
\(508\) | −2.01501 | + | 0.733405i | −0.0894018 | + | 0.0325396i | ||||
\(509\) | −34.7075 | − | 12.6325i | −1.53839 | − | 0.559926i | −0.572728 | − | 0.819746i | \(-0.694115\pi\) |
−0.965657 | + | 0.259819i | \(0.916337\pi\) | |||||||
\(510\) | 1.22281 | + | 1.02606i | 0.0541470 | + | 0.0454347i | ||||
\(511\) | 0.0837781 | − | 0.475129i | 0.00370613 | − | 0.0210185i | ||||
\(512\) | −24.9186 | −1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.898986 | −0.0396526 | ||||||||
\(515\) | 0.841367 | − | 4.77163i | 0.0370750 | − | 0.210263i | ||||
\(516\) | −1.59034 | − | 1.33445i | −0.0700107 | − | 0.0587459i | ||||
\(517\) | −15.2554 | − | 5.55250i | −0.670930 | − | 0.244199i | ||||
\(518\) | 2.17365 | − | 0.791143i | 0.0955046 | − | 0.0347608i | ||||
\(519\) | 44.4320 | − | 37.2829i | 1.95035 | − | 1.63654i | ||||
\(520\) | −3.33140 | − | 5.77016i | −0.146092 | − | 0.253038i | ||||
\(521\) | 4.64590 | − | 8.04693i | 0.203540 | − | 0.352542i | −0.746126 | − | 0.665804i | \(-0.768088\pi\) |
0.949667 | + | 0.313262i | \(0.101422\pi\) | |||||||
\(522\) | 8.51548 | + | 48.2937i | 0.372713 | + | 2.11376i | ||||
\(523\) | 4.93423 | + | 27.9834i | 0.215759 | + | 1.22363i | 0.879585 | + | 0.475742i | \(0.157820\pi\) |
−0.663826 | + | 0.747887i | \(0.731068\pi\) | |||||||
\(524\) | 0.170493 | − | 0.295303i | 0.00744802 | − | 0.0129004i | ||||
\(525\) | 2.11334 | + | 3.66041i | 0.0922338 | + | 0.159754i | ||||
\(526\) | 11.7654 | − | 9.87236i | 0.512996 | − | 0.430455i | ||||
\(527\) | −3.12449 | + | 1.13722i | −0.136105 | + | 0.0495381i | ||||
\(528\) | −21.6668 | − | 7.88609i | −0.942928 | − | 0.343198i | ||||
\(529\) | −12.0569 | − | 10.1169i | −0.524213 | − | 0.439867i | ||||
\(530\) | 0.583778 | − | 3.31077i | 0.0253577 | − | 0.143811i | ||||
\(531\) | 33.3610 | 1.44775 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.37227 | 0.276014 | ||||||||
\(534\) | 6.93242 | − | 39.3157i | 0.299995 | − | 1.70136i | ||||
\(535\) | −6.89440 | − | 5.78509i | −0.298071 | − | 0.250111i | ||||
\(536\) | −21.2294 | − | 7.72686i | −0.916969 | − | 0.333749i | ||||
\(537\) | −31.1498 | + | 11.3376i | −1.34421 | + | 0.489253i | ||||
\(538\) | −20.0123 | + | 16.7923i | −0.862793 | + | 0.723969i | ||||
\(539\) | −7.65910 | − | 13.2660i | −0.329901 | − | 0.571405i | ||||
\(540\) | 0.535959 | − | 0.928309i | 0.0230640 | − | 0.0399480i | ||||
\(541\) | 2.60220 | + | 14.7578i | 0.111877 | + | 0.634487i | 0.988249 | + | 0.152852i | \(0.0488458\pi\) |
−0.876372 | + | 0.481635i | \(0.840043\pi\) | |||||||
\(542\) | −3.13366 | − | 17.7718i | −0.134602 | − | 0.763366i | ||||
\(543\) | 12.2909 | − | 21.2884i | 0.527451 | − | 0.913572i | ||||
\(544\) | −0.243756 | − | 0.422197i | −0.0104509 | − | 0.0181016i | ||||
\(545\) | 1.22803 | − | 1.03044i | 0.0526028 | − | 0.0441390i | ||||
\(546\) | 3.25877 | − | 1.18610i | 0.139463 | − | 0.0507602i | ||||
\(547\) | −3.65270 | − | 1.32948i | −0.156178 | − | 0.0568443i | 0.262748 | − | 0.964864i | \(-0.415371\pi\) |
−0.418926 | + | 0.908020i | \(0.637593\pi\) | |||||||
\(548\) | −0.0362077 | − | 0.0303818i | −0.00154672 | − | 0.00129785i | ||||
\(549\) | 8.38666 | − | 47.5631i | 0.357934 | − | 2.02994i | ||||
\(550\) | 12.6800 | 0.540679 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 22.8384 | 0.972068 | ||||||||
\(553\) | 0.714355 | − | 4.05131i | 0.0303775 | − | 0.172279i | ||||
\(554\) | 18.3164 | + | 15.3693i | 0.778189 | + | 0.652978i | ||||
\(555\) | 11.7626 | + | 4.28125i | 0.499296 | + | 0.181729i | ||||
\(556\) | 0.740352 | − | 0.269466i | 0.0313979 | − | 0.0114279i | ||||
\(557\) | 10.1152 | − | 8.48762i | 0.428593 | − | 0.359632i | −0.402828 | − | 0.915276i | \(-0.631973\pi\) |
0.831420 | + | 0.555644i | \(0.187528\pi\) | |||||||
\(558\) | −25.3273 | − | 43.8681i | −1.07219 | − | 1.85709i | ||||
\(559\) | 5.02141 | − | 8.69734i | 0.212383 | − | 0.367858i | ||||
\(560\) | −0.190722 | − | 1.08164i | −0.00805949 | − | 0.0457076i | ||||
\(561\) | −0.520945 | − | 2.95442i | −0.0219943 | − | 0.124736i | ||||
\(562\) | 12.3136 | − | 21.3278i | 0.519418 | − | 0.899659i | ||||
\(563\) | 5.35638 | + | 9.27752i | 0.225745 | + | 0.391001i | 0.956543 | − | 0.291593i | \(-0.0941852\pi\) |
−0.730798 | + | 0.682594i | \(0.760852\pi\) | |||||||
\(564\) | 2.97178 | − | 2.49362i | 0.125135 | − | 0.105000i | ||||
\(565\) | −14.6163 | + | 5.31991i | −0.614914 | + | 0.223810i | ||||
\(566\) | −9.73308 | − | 3.54255i | −0.409112 | − | 0.148905i | ||||
\(567\) | 0.830222 | + | 0.696639i | 0.0348661 | + | 0.0292561i | ||||
\(568\) | −4.75641 | + | 26.9749i | −0.199574 | + | 1.13184i | ||||
\(569\) | 13.4706 | 0.564717 | 0.282358 | − | 0.959309i | \(-0.408883\pi\) | ||||
0.282358 | + | 0.959309i | \(0.408883\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.6655 | 0.530035 | 0.265017 | − | 0.964244i | \(-0.414622\pi\) | ||||
0.265017 | + | 0.964244i | \(0.414622\pi\) | |||||||
\(572\) | −0.183915 | + | 1.04303i | −0.00768988 | + | 0.0436115i | ||||
\(573\) | 40.4432 | + | 33.9358i | 1.68954 | + | 1.41769i | ||||
\(574\) | 1.08853 | + | 0.396191i | 0.0454342 | + | 0.0165367i | ||||
\(575\) | −10.7023 | + | 3.89533i | −0.446318 | + | 0.162447i | ||||
\(576\) | 34.8410 | − | 29.2350i | 1.45171 | − | 1.21813i | ||||
\(577\) | 5.27719 | + | 9.14036i | 0.219692 | + | 0.380518i | 0.954714 | − | 0.297526i | \(-0.0961613\pi\) |
−0.735022 | + | 0.678044i | \(0.762828\pi\) | |||||||
\(578\) | 11.3045 | − | 19.5800i | 0.470206 | − | 0.814421i | ||||
\(579\) | −0.148833 | − | 0.844075i | −0.00618530 | − | 0.0350786i | ||||
\(580\) | −0.194126 | − | 1.10094i | −0.00806064 | − | 0.0457142i | ||||
\(581\) | 2.57532 | − | 4.46059i | 0.106842 | − | 0.185056i | ||||
\(582\) | 18.3366 | + | 31.7600i | 0.760077 | + | 1.31649i | ||||
\(583\) | −4.84002 | + | 4.06126i | −0.200453 | + | 0.168200i | ||||
\(584\) | 3.84255 | − | 1.39857i | 0.159006 | − | 0.0578734i | ||||
\(585\) | 11.2537 | + | 4.09602i | 0.465284 | + | 0.169350i | ||||
\(586\) | 10.8400 | + | 9.09586i | 0.447797 | + | 0.375746i | ||||
\(587\) | −3.32619 | + | 18.8638i | −0.137287 | + | 0.778591i | 0.835954 | + | 0.548800i | \(0.184915\pi\) |
−0.973240 | + | 0.229791i | \(0.926196\pi\) | |||||||
\(588\) | 3.66044 | 0.150954 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 7.47060 | 0.307560 | ||||||||
\(591\) | 6.57057 | − | 37.2636i | 0.270277 | − | 1.53282i | ||||
\(592\) | 13.6190 | + | 11.4277i | 0.559738 | + | 0.469676i | ||||
\(593\) | 8.17024 | + | 2.97373i | 0.335512 | + | 0.122116i | 0.504282 | − | 0.863539i | \(-0.331757\pi\) |
−0.168770 | + | 0.985655i | \(0.553980\pi\) | |||||||
\(594\) | 18.5954 | − | 6.76817i | 0.762978 | − | 0.277701i | ||||
\(595\) | 0.109470 | − | 0.0918566i | 0.00448785 | − | 0.00376575i | ||||
\(596\) | 1.53003 | + | 2.65009i | 0.0626724 | + | 0.108552i | ||||
\(597\) | 0.369585 | − | 0.640140i | 0.0151261 | − | 0.0261992i | ||||
\(598\) | 1.62267 | + | 9.20264i | 0.0663561 | + | 0.376324i | ||||
\(599\) | −3.44373 | − | 19.5303i | −0.140707 | − | 0.797988i | −0.970715 | − | 0.240236i | \(-0.922775\pi\) |
0.830008 | − | 0.557752i | \(-0.188336\pi\) | |||||||
\(600\) | −17.9119 | + | 31.0244i | −0.731252 | + | 1.26657i | ||||
\(601\) | −16.8807 | − | 29.2383i | −0.688579 | − | 1.19265i | −0.972298 | − | 0.233747i | \(-0.924901\pi\) |
0.283718 | − | 0.958908i | \(-0.408432\pi\) | |||||||
\(602\) | 1.39852 | − | 1.17350i | 0.0569994 | − | 0.0478282i | ||||
\(603\) | 38.1584 | − | 13.8885i | 1.55393 | − | 0.565584i | ||||
\(604\) | 0.757426 | + | 0.275681i | 0.0308192 | + | 0.0112173i | ||||
\(605\) | −4.07011 | − | 3.41523i | −0.165473 | − | 0.138849i | ||||
\(606\) | −6.23055 | + | 35.3352i | −0.253099 | + | 1.43540i | ||||
\(607\) | −35.2850 | −1.43217 | −0.716087 | − | 0.698011i | \(-0.754068\pi\) | ||||
−0.716087 | + | 0.698011i | \(0.754068\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.87939 | 0.278767 | ||||||||
\(610\) | 1.87804 | − | 10.6509i | 0.0760397 | − | 0.431242i | ||||
\(611\) | 14.3760 | + | 12.0629i | 0.581590 | + | 0.488012i | ||||
\(612\) | 0.429892 | + | 0.156468i | 0.0173774 | + | 0.00632485i | ||||
\(613\) | −17.3405 | + | 6.31142i | −0.700376 | + | 0.254916i | −0.667571 | − | 0.744546i | \(-0.732666\pi\) |
−0.0328044 | + | 0.999462i | \(0.510444\pi\) | |||||||
\(614\) | 12.0708 | − | 10.1286i | 0.487139 | − | 0.408758i | ||||
\(615\) | 3.13429 | + | 5.42874i | 0.126387 | + | 0.218908i | ||||
\(616\) | −1.13816 | + | 1.97134i | −0.0458576 | + | 0.0794277i | ||||
\(617\) | −6.19671 | − | 35.1433i | −0.249470 | − | 1.41482i | −0.809878 | − | 0.586598i | \(-0.800467\pi\) |
0.560408 | − | 0.828217i | \(-0.310644\pi\) | |||||||
\(618\) | 3.71167 | + | 21.0499i | 0.149305 | + | 0.846752i | ||||
\(619\) | −1.82976 | + | 3.16923i | −0.0735441 | + | 0.127382i | −0.900452 | − | 0.434955i | \(-0.856764\pi\) |
0.826908 | + | 0.562337i | \(0.190098\pi\) | |||||||
\(620\) | 0.577382 | + | 1.00005i | 0.0231882 | + | 0.0401631i | ||||
\(621\) | −13.6159 | + | 11.4251i | −0.546386 | + | 0.458472i | ||||
\(622\) | −20.2135 | + | 7.35710i | −0.810487 | + | 0.294993i | ||||
\(623\) | −3.35844 | − | 1.22237i | −0.134553 | − | 0.0489733i | ||||
\(624\) | 20.4179 | + | 17.1326i | 0.817369 | + | 0.685854i | ||||
\(625\) | 2.43077 | − | 13.7856i | 0.0972308 | − | 0.551423i | ||||
\(626\) | −35.8767 | −1.43392 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.77744 | 0.0709275 | ||||||||
\(629\) | −0.401674 | + | 2.27801i | −0.0160158 | + | 0.0908301i | ||||
\(630\) | 1.66772 | + | 1.39938i | 0.0664435 | + | 0.0557527i | ||||
\(631\) | 0.745977 | + | 0.271514i | 0.0296969 | + | 0.0108088i | 0.356826 | − | 0.934171i | \(-0.383859\pi\) |
−0.327129 | + | 0.944980i | \(0.606081\pi\) | |||||||
\(632\) | 32.7645 | − | 11.9253i | 1.30330 | − | 0.474362i | ||||
\(633\) | −5.40033 | + | 4.53141i | −0.214644 | + | 0.180108i | ||||
\(634\) | 19.8942 | + | 34.4578i | 0.790101 | + | 1.36850i | ||||
\(635\) | 5.10220 | − | 8.83726i | 0.202474 | − | 0.350696i | ||||
\(636\) | −0.262174 | − | 1.48686i | −0.0103959 | − | 0.0589579i | ||||
\(637\) | 3.07486 | + | 17.4384i | 0.121830 | + | 0.690933i | ||||
\(638\) | 10.3191 | − | 17.8732i | 0.408536 | − | 0.707605i | ||||
\(639\) | −24.6168 | − | 42.6375i | −0.973826 | − | 1.68672i | ||||
\(640\) | 6.39827 | − | 5.36879i | 0.252914 | − | 0.212220i | ||||
\(641\) | 27.6104 | − | 10.0494i | 1.09055 | − | 0.396926i | 0.266723 | − | 0.963773i | \(-0.414059\pi\) |
0.823823 | + | 0.566847i | \(0.191837\pi\) | |||||||
\(642\) | 37.3089 | + | 13.5793i | 1.47246 | + | 0.535933i | ||||
\(643\) | 17.0168 | + | 14.2788i | 0.671078 | + | 0.563101i | 0.913384 | − | 0.407098i | \(-0.133459\pi\) |
−0.242306 | + | 0.970200i | \(0.577904\pi\) | |||||||
\(644\) | 0.0300295 | − | 0.170306i | 0.00118333 | − | 0.00671099i | ||||
\(645\) | 9.87939 | 0.389000 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.2591 | 0.442640 | 0.221320 | − | 0.975201i | \(-0.428963\pi\) | ||||
0.221320 | + | 0.975201i | \(0.428963\pi\) | |||||||
\(648\) | −1.59508 | + | 9.04617i | −0.0626608 | + | 0.355367i | ||||
\(649\) | −10.7554 | − | 9.02482i | −0.422185 | − | 0.354255i | ||||
\(650\) | −13.7738 | − | 5.01325i | −0.540252 | − | 0.196636i | ||||
\(651\) | −6.67752 | + | 2.43042i | −0.261713 | + | 0.0952556i | ||||
\(652\) | −1.18273 | + | 0.992431i | −0.0463194 | + | 0.0388666i | ||||
\(653\) | −13.5000 | − | 23.3827i | −0.528296 | − | 0.915035i | −0.999456 | − | 0.0329874i | \(-0.989498\pi\) |
0.471160 | − | 0.882048i | \(-0.343835\pi\) | |||||||
\(654\) | −3.53596 | + | 6.12446i | −0.138267 | + | 0.239485i | ||||
\(655\) | 0.281774 | + | 1.59802i | 0.0110098 | + | 0.0624399i | ||||
\(656\) | 1.54601 | + | 8.76785i | 0.0603615 | + | 0.342327i | ||||
\(657\) | −3.67499 | + | 6.36527i | −0.143375 | + | 0.248333i | ||||
\(658\) | 1.70574 | + | 2.95442i | 0.0664966 | + | 0.115175i | ||||
\(659\) | −21.4691 | + | 18.0147i | −0.836317 | + | 0.701753i | −0.956732 | − | 0.290970i | \(-0.906022\pi\) |
0.120415 | + | 0.992724i | \(0.461577\pi\) | |||||||
\(660\) | −0.979055 | + | 0.356347i | −0.0381097 | + | 0.0138708i | ||||
\(661\) | 10.6823 | + | 3.88803i | 0.415492 | + | 0.151227i | 0.541303 | − | 0.840827i | \(-0.317931\pi\) |
−0.125811 | + | 0.992054i | \(0.540153\pi\) | |||||||
\(662\) | −28.5533 | − | 23.9590i | −1.10975 | − | 0.931194i | ||||
\(663\) | −0.602196 | + | 3.41523i | −0.0233874 | + | 0.132636i | ||||
\(664\) | 43.6551 | 1.69415 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −35.2395 | −1.36550 | ||||||||
\(667\) | −3.21894 | + | 18.2555i | −0.124638 | + | 0.706857i | ||||
\(668\) | 0.571203 | + | 0.479297i | 0.0221005 | + | 0.0185445i | ||||
\(669\) | −23.0253 | − | 8.38052i | −0.890209 | − | 0.324010i | ||||
\(670\) | 8.54488 | − | 3.11008i | 0.330118 | − | 0.120153i | ||||
\(671\) | −15.5706 | + | 13.0653i | −0.601095 | + | 0.504379i | ||||
\(672\) | −0.520945 | − | 0.902302i | −0.0200959 | − | 0.0348071i | ||||
\(673\) | −8.28359 | + | 14.3476i | −0.319309 | + | 0.553059i | −0.980344 | − | 0.197296i | \(-0.936784\pi\) |
0.661035 | + | 0.750355i | \(0.270117\pi\) | |||||||
\(674\) | −4.17840 | − | 23.6969i | −0.160946 | − | 0.912769i | ||||
\(675\) | −4.84137 | − | 27.4568i | −0.186344 | − | 1.05681i | ||||
\(676\) | −0.588993 | + | 1.02017i | −0.0226536 | + | 0.0392371i | ||||
\(677\) | −4.52481 | − | 7.83721i | −0.173903 | − | 0.301208i | 0.765878 | − | 0.642986i | \(-0.222305\pi\) |
−0.939781 | + | 0.341777i | \(0.888971\pi\) | |||||||
\(678\) | 52.5642 | − | 44.1066i | 2.01872 | − | 1.69390i | ||||
\(679\) | 3.08512 | − | 1.12289i | 0.118396 | − | 0.0430927i | ||||
\(680\) | 1.13816 | + | 0.414255i | 0.0436463 | + | 0.0158859i | ||||
\(681\) | 31.2126 | + | 26.1905i | 1.19607 | + | 1.00362i | ||||
\(682\) | −3.70187 | + | 20.9943i | −0.141752 | + | 0.803914i | ||||
\(683\) | −8.73143 | −0.334099 | −0.167049 | − | 0.985949i | \(-0.553424\pi\) | ||||
−0.167049 | + | 0.985949i | \(0.553424\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.224927 | 0.00859402 | ||||||||
\(686\) | −1.12773 | + | 6.39566i | −0.0430568 | + | 0.244187i | ||||
\(687\) | −45.2904 | − | 38.0032i | −1.72794 | − | 1.44991i | ||||
\(688\) | 13.1853 | + | 4.79904i | 0.502683 | + | 0.182962i | ||||
\(689\) | 6.86319 | − | 2.49800i | 0.261467 | − | 0.0951661i | ||||
\(690\) | −7.04189 | + | 5.90885i | −0.268080 | + | 0.224946i | ||||
\(691\) | −17.3601 | − | 30.0686i | −0.660409 | − | 1.14386i | −0.980508 | − | 0.196478i | \(-0.937050\pi\) |
0.320099 | − | 0.947384i | \(-0.396284\pi\) | |||||||
\(692\) | 1.86122 | − | 3.22372i | 0.0707528 | − | 0.122547i | ||||
\(693\) | −0.710485 | − | 4.02936i | −0.0269891 | − | 0.153063i | ||||
\(694\) | −1.35710 | − | 7.69648i | −0.0515147 | − | 0.292154i | ||||
\(695\) | −1.87464 | + | 3.24697i | −0.0711091 | + | 0.123164i | ||||
\(696\) | 29.1536 | + | 50.4956i | 1.10507 | + | 1.91403i | ||||
\(697\) | −0.887374 | + | 0.744596i | −0.0336117 | + | 0.0282036i | ||||
\(698\) | −6.80154 | + | 2.47556i | −0.257442 | + | 0.0937012i | ||||
\(699\) | −47.7588 | − | 17.3828i | −1.80640 | − | 0.657478i | ||||
\(700\) | 0.207796 | + | 0.174362i | 0.00785397 | + | 0.00659026i | ||||
\(701\) | 6.84436 | − | 38.8163i | 0.258508 | − | 1.46607i | −0.528397 | − | 0.848997i | \(-0.677207\pi\) |
0.786905 | − | 0.617074i | \(-0.211682\pi\) | |||||||
\(702\) | −22.8753 | −0.863371 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −19.1411 | −0.721409 | ||||||||
\(705\) | −3.20574 | + | 18.1806i | −0.120735 | + | 0.684722i | ||||
\(706\) | −26.0442 | − | 21.8537i | −0.980185 | − | 0.822473i | ||||
\(707\) | 3.01842 | + | 1.09861i | 0.113519 | + | 0.0413176i | ||||
\(708\) | 3.15270 | − | 1.14749i | 0.118486 | − | 0.0431253i | ||||
\(709\) | −31.5009 | + | 26.4324i | −1.18304 | + | 0.992690i | −0.183088 | + | 0.983096i | \(0.558609\pi\) |
−0.999954 | + | 0.00959399i | \(0.996946\pi\) | |||||||
\(710\) | −5.51249 | − | 9.54791i | −0.206880 | − | 0.358327i | ||||
\(711\) | −31.3357 | + | 54.2751i | −1.17518 | + | 2.03548i | ||||
\(712\) | −5.26011 | − | 29.8316i | −0.197131 | − | 1.11799i | ||||
\(713\) | −3.32501 | − | 18.8571i | −0.124523 | − | 0.706202i | ||||
\(714\) | −0.315207 | + | 0.545955i | −0.0117963 | + | 0.0204319i | ||||
\(715\) | −2.52007 | − | 4.36488i | −0.0942452 | − | 0.163237i | ||||
\(716\) | −1.62970 | + | 1.36748i | −0.0609047 | + | 0.0511051i | ||||
\(717\) | −6.36484 | + | 2.31661i | −0.237699 | + | 0.0865154i | ||||
\(718\) | −8.46585 | − | 3.08132i | −0.315943 | − | 0.114994i | ||||
\(719\) | −32.4768 | − | 27.2513i | −1.21118 | − | 1.01630i | −0.999238 | − | 0.0390200i | \(-0.987576\pi\) |
−0.211943 | − | 0.977282i | \(-0.567979\pi\) | |||||||
\(720\) | −2.90554 | + | 16.4782i | −0.108283 | + | 0.614105i | ||||
\(721\) | 1.91353 | 0.0712637 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −39.7374 | −1.47785 | ||||||||
\(724\) | 0.273947 | − | 1.55363i | 0.0101812 | − | 0.0577403i | ||||
\(725\) | −22.2743 | − | 18.6903i | −0.827245 | − | 0.694141i | ||||
\(726\) | 22.0253 | + | 8.01655i | 0.817435 | + | 0.297522i | ||||
\(727\) | −48.5411 | + | 17.6675i | −1.80029 | + | 0.655251i | −0.801965 | + | 0.597371i | \(0.796212\pi\) |
−0.998324 | + | 0.0578805i | \(0.981566\pi\) | |||||||
\(728\) | 2.01573 | − | 1.69140i | 0.0747079 | − | 0.0626874i | ||||
\(729\) | 20.2344 | + | 35.0470i | 0.749423 | + | 1.29804i | ||||
\(730\) | −0.822948 | + | 1.42539i | −0.0304587 | + | 0.0527560i | ||||
\(731\) | 0.317018 | + | 1.79790i | 0.0117254 | + | 0.0664978i | ||||
\(732\) | −0.843426 | − | 4.78331i | −0.0311739 | − | 0.176796i | ||||
\(733\) | 11.4581 | − | 19.8460i | 0.423215 | − | 0.733030i | −0.573037 | − | 0.819530i | \(-0.694235\pi\) |
0.996252 | + | 0.0864997i | \(0.0275682\pi\) | |||||||
\(734\) | −5.46926 | − | 9.47303i | −0.201874 | − | 0.349656i | ||||
\(735\) | −13.3439 | + | 11.1969i | −0.492197 | + | 0.413002i | ||||
\(736\) | 2.63816 | − | 0.960210i | 0.0972437 | − | 0.0353938i | ||||
\(737\) | −16.0591 | − | 5.84504i | −0.591545 | − | 0.215305i | ||||
\(738\) | −13.5186 | − | 11.3435i | −0.497628 | − | 0.417559i | ||||
\(739\) | 4.88413 | − | 27.6993i | 0.179666 | − | 1.01894i | −0.752954 | − | 0.658074i | \(-0.771372\pi\) |
0.932619 | − | 0.360862i | \(-0.117517\pi\) | |||||||
\(740\) | 0.803348 | 0.0295317 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.32770 | 0.0487413 | ||||||||
\(743\) | −1.06489 | + | 6.03931i | −0.0390671 | + | 0.221561i | −0.998091 | − | 0.0617657i | \(-0.980327\pi\) |
0.959024 | + | 0.283326i | \(0.0914380\pi\) | |||||||
\(744\) | −46.1377 | − | 38.7142i | −1.69149 | − | 1.41933i | ||||
\(745\) | −13.6839 | − | 4.98054i | −0.501340 | − | 0.182473i | ||||
\(746\) | 44.1819 | − | 16.0809i | 1.61761 | − | 0.588763i | ||||
\(747\) | −60.1093 | + | 50.4377i | −2.19928 | + | 1.84542i | ||||
\(748\) | −0.0962667 | − | 0.166739i | −0.00351986 | − | 0.00609657i | ||||
\(749\) | 1.77719 | − | 3.07818i | 0.0649371 | − | 0.112474i | ||||
\(750\) | −5.46585 | − | 30.9984i | −0.199585 | − | 1.13190i | ||||
\(751\) | −0.979522 | − | 5.55515i | −0.0357433 | − | 0.202710i | 0.961707 | − | 0.274081i | \(-0.0883737\pi\) |
−0.997450 | + | 0.0713710i | \(0.977263\pi\) | |||||||
\(752\) | −13.1099 | + | 22.7071i | −0.478070 | + | 0.828042i | ||||
\(753\) | 5.99660 | + | 10.3864i | 0.218528 | + | 0.378502i | ||||
\(754\) | −18.2756 | + | 15.3350i | −0.665558 | + | 0.558469i | ||||
\(755\) | −3.60442 | + | 1.31190i | −0.131178 | + | 0.0477450i | ||||
\(756\) | 0.397804 | + | 0.144789i | 0.0144680 | + | 0.00526591i | ||||
\(757\) | 12.0207 | + | 10.0866i | 0.436900 | + | 0.366602i | 0.834548 | − | 0.550936i | \(-0.185729\pi\) |
−0.397648 | + | 0.917538i | \(0.630173\pi\) | |||||||
\(758\) | −0.398052 | + | 2.25746i | −0.0144579 | + | 0.0819948i | ||||
\(759\) | 17.2763 | 0.627090 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.86484 | 0.176350 | 0.0881751 | − | 0.996105i | \(-0.471896\pi\) | ||||
0.0881751 | + | 0.996105i | \(0.471896\pi\) | |||||||
\(762\) | −7.81702 | + | 44.3325i | −0.283181 | + | 1.60600i | ||||
\(763\) | 0.484985 | + | 0.406951i | 0.0175576 | + | 0.0147326i | ||||
\(764\) | 3.18392 | + | 1.15885i | 0.115190 | + | 0.0419257i | ||||
\(765\) | −2.04576 | + | 0.744596i | −0.0739646 | + | 0.0269209i | ||||
\(766\) | −3.03099 | + | 2.54331i | −0.109514 | + | 0.0918934i | ||||
\(767\) | 8.11499 | + | 14.0556i | 0.293015 | + | 0.507517i | ||||
\(768\) | 6.32888 | − | 10.9619i | 0.228374 | − | 0.395555i | ||||
\(769\) | 3.91266 | + | 22.1898i | 0.141094 | + | 0.800184i | 0.970421 | + | 0.241420i | \(0.0776131\pi\) |
−0.829327 | + | 0.558764i | \(0.811276\pi\) | |||||||
\(770\) | −0.159100 | − | 0.902302i | −0.00573358 | − | 0.0325167i | ||||
\(771\) | 0.960637 | − | 1.66387i | 0.0345965 | − | 0.0599229i | ||||
\(772\) | −0.0275033 | − | 0.0476371i | −0.000989864 | − | 0.00171450i | ||||
\(773\) | 20.2481 | − | 16.9902i | 0.728273 | − | 0.611094i | −0.201387 | − | 0.979512i | \(-0.564545\pi\) |
0.929660 | + | 0.368418i | \(0.120100\pi\) | |||||||
\(774\) | −26.1352 | + | 9.51244i | −0.939411 | + | 0.341918i | ||||
\(775\) | 28.2237 | + | 10.2726i | 1.01383 | + | 0.369003i | ||||
\(776\) | 21.3164 | + | 17.8866i | 0.765214 | + | 0.642091i | ||||
\(777\) | −0.858441 | + | 4.86846i | −0.0307964 | + | 0.174655i | ||||
\(778\) | −33.0993 | −1.18667 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 1.20439 | 0.0431242 | ||||||||
\(781\) | −3.59802 | + | 20.4054i | −0.128747 | + | 0.730162i | ||||
\(782\) | −1.30129 | − | 1.09191i | −0.0465340 | − | 0.0390466i | ||||
\(783\) | −42.6416 | − | 15.5203i | −1.52389 | − | 0.554650i | ||||
\(784\) | −23.2481 | + | 8.46161i | −0.830289 | + | 0.302200i | ||||
\(785\) | −6.47952 | + | 5.43696i | −0.231264 | + | 0.194054i | ||||
\(786\) | −3.57919 | − | 6.19934i | −0.127666 | − | 0.221123i | ||||
\(787\) | −7.77884 | + | 13.4733i | −0.277286 | + | 0.480273i | −0.970709 | − | 0.240257i | \(-0.922768\pi\) |
0.693424 | + | 0.720530i | \(0.256101\pi\) | |||||||
\(788\) | −0.421685 | − | 2.39149i | −0.0150219 | − | 0.0851934i | ||||
\(789\) | 5.69981 | + | 32.3252i | 0.202919 | + | 1.15081i | ||||
\(790\) | −7.01707 | + | 12.1539i | −0.249656 | + | 0.432417i | ||||
\(791\) | −3.07145 | − | 5.31991i | −0.109208 | − | 0.189154i | ||||
\(792\) | 26.5651 | − | 22.2908i | 0.943950 | − | 0.792068i | ||||
\(793\) | 22.0792 | − | 8.03617i | 0.784055 | − | 0.285373i | ||||
\(794\) | 40.3055 | + | 14.6700i | 1.43039 | + | 0.520618i | ||||
\(795\) | 5.50387 | + | 4.61830i | 0.195202 | + | 0.163794i | ||||
\(796\) | 0.00823757 | − | 0.0467176i | 0.000291973 | − | 0.00165586i | ||||
\(797\) | −33.4935 | −1.18640 | −0.593200 | − | 0.805055i | \(-0.702136\pi\) | ||||
−0.593200 | + | 0.805055i | \(0.702136\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.41147 | −0.120689 | ||||||||
\(800\) | −0.764700 | + | 4.33683i | −0.0270362 | + | 0.153330i | ||||
\(801\) | 41.7092 | + | 34.9982i | 1.47372 | + | 1.23660i | ||||
\(802\) | −0.109470 | − | 0.0398440i | −0.00386553 | − | 0.00140694i | ||||
\(803\) | 2.90673 | − | 1.05796i | 0.102576 | − | 0.0373347i | ||||
\(804\) | 3.12836 | − | 2.62500i | 0.110329 | − | 0.0925767i | ||||
\(805\) | 0.411474 | + | 0.712694i | 0.0145026 | + | 0.0251192i | ||||
\(806\) | 12.3216 | − | 21.3416i | 0.434010 | − | 0.751727i | ||||
\(807\) | −9.69506 | − | 54.9834i | −0.341282 | − | 1.93551i | ||||
\(808\) | 4.72756 | + | 26.8113i | 0.166315 | + | 0.943219i | ||||
\(809\) | −20.5581 | + | 35.6076i | −0.722784 | + | 1.25190i | 0.237096 | + | 0.971486i | \(0.423804\pi\) |
−0.959880 | + | 0.280412i | \(0.909529\pi\) | |||||||
\(810\) | −1.84864 | − | 3.20194i | −0.0649546 | − | 0.112505i | ||||
\(811\) | −12.7836 | + | 10.7267i | −0.448892 | + | 0.376665i | −0.839025 | − | 0.544093i | \(-0.816874\pi\) |
0.390132 | + | 0.920759i | \(0.372429\pi\) | |||||||
\(812\) | 0.414878 | − | 0.151003i | 0.0145594 | − | 0.00529917i | ||||
\(813\) | 36.2413 | + | 13.1907i | 1.27104 | + | 0.462620i | ||||
\(814\) | 11.3610 | + | 9.53298i | 0.398202 | + | 0.334131i | ||||
\(815\) | 1.27584 | − | 7.23567i | 0.0446909 | − | 0.253455i | ||||
\(816\) | −4.84524 | −0.169617 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −26.9540 | −0.942424 | ||||||||
\(819\) | −0.821299 | + | 4.65782i | −0.0286985 | + | 0.162757i | ||||
\(820\) | 0.308182 | + | 0.258595i | 0.0107622 | + | 0.00903054i | ||||
\(821\) | 29.4971 | + | 10.7361i | 1.02945 | + | 0.374691i | 0.800873 | − | 0.598834i | \(-0.204369\pi\) |
0.228581 | + | 0.973525i | \(0.426591\pi\) | |||||||
\(822\) | −0.932419 | + | 0.339373i | −0.0325218 | + | 0.0118370i | ||||
\(823\) | 35.4877 | − | 29.7777i | 1.23702 | − | 1.03799i | 0.239274 | − | 0.970952i | \(-0.423091\pi\) |
0.997751 | − | 0.0670347i | \(-0.0213538\pi\) | |||||||
\(824\) | 8.10922 | + | 14.0456i | 0.282498 | + | 0.489301i | ||||
\(825\) | −13.5496 | + | 23.4686i | −0.471738 | + | 0.817073i | ||||
\(826\) | 0.512326 | + | 2.90555i | 0.0178261 | + | 0.101097i | ||||
\(827\) | −7.07769 | − | 40.1396i | −0.246115 | − | 1.39579i | −0.817888 | − | 0.575377i | \(-0.804855\pi\) |
0.571773 | − | 0.820412i | \(-0.306256\pi\) | |||||||
\(828\) | −1.31727 | + | 2.28157i | −0.0457782 | + | 0.0792901i | ||||
\(829\) | −17.7417 | − | 30.7295i | −0.616195 | − | 1.06728i | −0.990174 | − | 0.139843i | \(-0.955340\pi\) |
0.373979 | − | 0.927437i | \(-0.377993\pi\) | |||||||
\(830\) | −13.4604 | + | 11.2946i | −0.467217 | + | 0.392042i | ||||
\(831\) | −48.0185 | + | 17.4773i | −1.66574 | + | 0.606281i | ||||
\(832\) | 20.7922 | + | 7.56774i | 0.720840 | + | 0.262364i | ||||
\(833\) | −2.46585 | − | 2.06910i | −0.0854367 | − | 0.0716899i | ||||
\(834\) | 2.87211 | − | 16.2886i | 0.0994531 | − | 0.564026i | ||||
\(835\) | −3.54839 | −0.122797 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 46.8735 | 1.62019 | ||||||||
\(838\) | 5.94475 | − | 33.7143i | 0.205358 | − | 1.16464i | ||||
\(839\) | 29.2649 | + | 24.5562i | 1.01034 | + | 0.847774i | 0.988383 | − | 0.151985i | \(-0.0485667\pi\) |
0.0219545 | + | 0.999759i | \(0.493011\pi\) | |||||||
\(840\) | 2.43242 | + | 0.885328i | 0.0839264 | + | 0.0305467i | ||||
\(841\) | −17.2208 | + | 6.26784i | −0.593819 | + | 0.216132i | ||||
\(842\) | −4.50980 | + | 3.78417i | −0.155418 | + | 0.130411i | ||||
\(843\) | 26.3161 | + | 45.5809i | 0.906376 | + | 1.56989i | ||||
\(844\) | −0.226215 | + | 0.391815i | −0.00778663 | + | 0.0134868i | ||||
\(845\) | −0.973430 | − | 5.52060i | −0.0334870 | − | 0.189914i | ||||
\(846\) | −9.02481 | − | 51.1823i | −0.310280 | − | 1.75968i | ||||
\(847\) | 1.04916 | − | 1.81720i | 0.0360497 | − | 0.0624399i | ||||
\(848\) | 5.10220 | + | 8.83726i | 0.175210 | + | 0.303473i | ||||
\(849\) | 16.9572 | − | 14.2288i | 0.581971 | − | 0.488331i | ||||
\(850\) | 2.50387 | − | 0.911334i | 0.0858820 | − | 0.0312585i | ||||
\(851\) | −12.5175 | − | 4.55601i | −0.429096 | − | 0.156178i | ||||
\(852\) | −3.79292 | − | 3.18264i | −0.129943 | − | 0.109035i | ||||
\(853\) | −4.44568 | + | 25.2127i | −0.152217 | + | 0.863266i | 0.809069 | + | 0.587714i | \(0.199972\pi\) |
−0.961286 | + | 0.275552i | \(0.911139\pi\) | |||||||
\(854\) | 4.27126 | 0.146159 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30.1257 | 1.02967 | ||||||||
\(857\) | 3.66163 | − | 20.7661i | 0.125079 | − | 0.709357i | −0.856182 | − | 0.516674i | \(-0.827170\pi\) |
0.981261 | − | 0.192683i | \(-0.0617189\pi\) | |||||||
\(858\) | 17.0326 | + | 14.2920i | 0.581482 | + | 0.487921i | ||||
\(859\) | 18.3871 | + | 6.69237i | 0.627361 | + | 0.228341i | 0.636082 | − | 0.771621i | \(-0.280554\pi\) |
−0.00872148 | + | 0.999962i | \(0.502776\pi\) | |||||||
\(860\) | 0.595800 | − | 0.216853i | 0.0203166 | − | 0.00739464i | ||||
\(861\) | −1.89646 | + | 1.59132i | −0.0646312 | + | 0.0542320i | ||||
\(862\) | −25.8050 | − | 44.6956i | −0.878922 | − | 1.52234i | ||||
\(863\) | 2.47447 | − | 4.28591i | 0.0842319 | − | 0.145894i | −0.820832 | − | 0.571170i | \(-0.806490\pi\) |
0.905064 | + | 0.425276i | \(0.139823\pi\) | |||||||
\(864\) | 1.19341 | + | 6.76817i | 0.0406007 | + | 0.230258i | ||||
\(865\) | 3.07604 | + | 17.4451i | 0.104588 | + | 0.593150i | ||||
\(866\) | −12.2139 | + | 21.1552i | −0.415047 | + | 0.718882i | ||||
\(867\) | 24.1596 | + | 41.8456i | 0.820502 | + | 1.42115i | ||||
\(868\) | −0.349356 | + | 0.293144i | −0.0118579 | + | 0.00994997i | ||||
\(869\) | 24.7849 | − | 9.02098i | 0.840771 | − | 0.306016i | ||||
\(870\) | −22.0535 | − | 8.02682i | −0.747684 | − | 0.272135i | ||||
\(871\) | 15.1334 | + | 12.6984i | 0.512776 | + | 0.430270i | ||||
\(872\) | −0.931790 | + | 5.28444i | −0.0315544 | + | 0.178954i | ||||
\(873\) | −50.0164 | −1.69280 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.81790 | −0.0952623 | ||||||||
\(876\) | −0.128356 | + | 0.727940i | −0.00433673 | + | 0.0245948i | ||||
\(877\) | −0.934478 | − | 0.784120i | −0.0315551 | − | 0.0264779i | 0.626874 | − | 0.779121i | \(-0.284334\pi\) |
−0.658429 | + | 0.752643i | \(0.728779\pi\) | |||||||
\(878\) | −7.71095 | − | 2.80656i | −0.260232 | − | 0.0947167i | ||||
\(879\) | −28.4183 | + | 10.3434i | −0.958527 | + | 0.348875i | ||||
\(880\) | 5.39440 | − | 4.52644i | 0.181845 | − | 0.152586i | ||||
\(881\) | −23.2515 | − | 40.2728i | −0.783363 | − | 1.35682i | −0.929972 | − | 0.367630i | \(-0.880169\pi\) |
0.146609 | − | 0.989194i | \(-0.453164\pi\) | |||||||
\(882\) | 24.5194 | − | 42.4688i | 0.825610 | − | 1.43000i | ||||
\(883\) | 2.24438 | + | 12.7285i | 0.0755296 | + | 0.428349i | 0.999001 | + | 0.0446828i | \(0.0142277\pi\) |
−0.923472 | + | 0.383667i | \(0.874661\pi\) | |||||||
\(884\) | 0.0386476 | + | 0.219182i | 0.00129986 | + | 0.00737187i | ||||
\(885\) | −7.98293 | + | 13.8268i | −0.268343 | + | 0.464784i | ||||
\(886\) | 20.1374 | + | 34.8791i | 0.676531 | + | 1.17179i | ||||
\(887\) | 17.7909 | − | 14.9283i | 0.597359 | − | 0.501243i | −0.293237 | − | 0.956040i | \(-0.594732\pi\) |
0.890595 | + | 0.454796i | \(0.150288\pi\) | |||||||
\(888\) | −39.3730 | + | 14.3306i | −1.32127 | + | 0.480904i | ||||
\(889\) | 3.78699 | + | 1.37835i | 0.127012 | + | 0.0462284i | ||||
\(890\) | 9.34002 | + | 7.83721i | 0.313078 | + | 0.262704i | ||||
\(891\) | −1.20661 | + | 6.84305i | −0.0404231 | + | 0.229251i | ||||
\(892\) | −1.57255 | −0.0526528 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 64.2404 | 2.14852 | ||||||||
\(895\) | 1.75800 | − | 9.97011i | 0.0587634 | − | 0.333264i | ||||
\(896\) | 2.52687 | + | 2.12030i | 0.0844169 | + | 0.0708342i | ||||
\(897\) | −18.7665 | − | 6.83045i | −0.626596 | − | 0.228062i | ||||
\(898\) | −14.2429 | + | 5.18398i | −0.475291 | + | 0.172992i | ||||
\(899\) | 37.4484 | − | 31.4229i | 1.24897 | − | 1.04801i | ||||
\(900\) | −2.06624 | − | 3.57883i | −0.0688746 | − | 0.119294i | ||||
\(901\) | −0.663848 | + | 1.14982i | −0.0221160 | + | 0.0383060i | ||||
\(902\) | 1.28968 | + | 7.31412i | 0.0429416 | + | 0.243534i | ||||
\(903\) | 0.677519 | + | 3.84240i | 0.0225464 | + | 0.127867i | ||||
\(904\) | 26.0326 | − | 45.0897i | 0.865830 | − | 1.49966i | ||||
\(905\) | 3.75372 | + | 6.50163i | 0.124778 | + | 0.216122i | ||||
\(906\) | 12.9624 | − | 10.8768i | 0.430648 | − | 0.361357i | ||||
\(907\) | −37.5847 | + | 13.6797i | −1.24798 | + | 0.454228i | −0.879719 | − | 0.475495i | \(-0.842269\pi\) |
−0.368261 | + | 0.929722i | \(0.620047\pi\) | |||||||
\(908\) | 2.45723 | + | 0.894360i | 0.0815462 | + | 0.0296804i | ||||
\(909\) | −37.4864 | − | 31.4548i | −1.24334 | − | 1.04329i | ||||
\(910\) | −0.183915 | + | 1.04303i | −0.00609673 | + | 0.0345763i | ||||
\(911\) | 18.7997 | 0.622863 | 0.311431 | − | 0.950269i | \(-0.399192\pi\) | ||||
0.311431 | + | 0.950269i | \(0.399192\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.0232 | 1.09291 | ||||||||
\(914\) | −5.47225 | + | 31.0347i | −0.181006 | + | 1.02654i | ||||
\(915\) | 17.7062 | + | 14.8573i | 0.585349 | + | 0.491166i | ||||
\(916\) | −3.56552 | − | 1.29774i | −0.117808 | − | 0.0428787i | ||||
\(917\) | −0.602196 | + | 0.219182i | −0.0198863 | + | 0.00723801i | ||||
\(918\) | 3.18551 | − | 2.67296i | 0.105137 | − | 0.0882208i | ||||
\(919\) | −19.9158 | − | 34.4952i | −0.656962 | − | 1.13789i | −0.981398 | − | 0.191984i | \(-0.938508\pi\) |
0.324436 | − | 0.945908i | \(-0.394825\pi\) | |||||||
\(920\) | −3.48751 | + | 6.04055i | −0.114980 | + | 0.199151i | ||||
\(921\) | 5.84776 | + | 33.1643i | 0.192690 | + | 1.09280i | ||||
\(922\) | −8.56830 | − | 48.5932i | −0.282182 | − | 1.60033i | ||||
\(923\) | 11.9760 | − | 20.7430i | 0.394193 | − | 0.682763i | ||||
\(924\) | −0.205737 | − | 0.356347i | −0.00676825 | − | 0.0117230i | ||||
\(925\) | 16.0064 | − | 13.4310i | 0.526287 | − | 0.441607i | ||||
\(926\) | 54.4227 | − | 19.8082i | 1.78844 | − | 0.650939i | ||||
\(927\) | −27.3935 | − | 9.97043i | −0.899721 | − | 0.327472i | ||||
\(928\) | 5.49067 | + | 4.60722i | 0.180240 | + | 0.151239i | ||||
\(929\) | 4.68051 | − | 26.5445i | 0.153563 | − | 0.870897i | −0.806526 | − | 0.591199i | \(-0.798655\pi\) |
0.960088 | − | 0.279698i | \(-0.0902342\pi\) | |||||||
\(930\) | 24.2422 | 0.794932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.26176 | −0.106843 | ||||||||
\(933\) | 7.98293 | − | 45.2734i | 0.261349 | − | 1.48219i | ||||
\(934\) | 26.4176 | + | 22.1670i | 0.864411 | + | 0.725327i | ||||
\(935\) | 0.860967 | + | 0.313366i | 0.0281566 | + | 0.0102482i | ||||
\(936\) | −37.6695 | + | 13.7106i | −1.23127 | + | 0.448145i | ||||
\(937\) | 2.00980 | − | 1.68642i | 0.0656573 | − | 0.0550930i | −0.609368 | − | 0.792887i | \(-0.708577\pi\) |
0.675026 | + | 0.737794i | \(0.264133\pi\) | |||||||
\(938\) | 1.79561 | + | 3.11008i | 0.0586287 | + | 0.101548i | ||||
\(939\) | 38.3371 | − | 66.4018i | 1.25108 | − | 2.16694i | ||||
\(940\) | 0.205737 | + | 1.16679i | 0.00671040 | + | 0.0380566i | ||||
\(941\) | 3.24194 | + | 18.3860i | 0.105684 | + | 0.599366i | 0.990945 | + | 0.134270i | \(0.0428690\pi\) |
−0.885260 | + | 0.465096i | \(0.846020\pi\) | |||||||
\(942\) | 18.6570 | − | 32.3149i | 0.607879 | − | 1.05288i | ||||
\(943\) | −3.33544 | − | 5.77715i | −0.108617 | − | 0.188130i | ||||
\(944\) | −17.3708 | + | 14.5758i | −0.565370 | + | 0.474402i | ||||
\(945\) | −1.89306 | + | 0.689016i | −0.0615811 | + | 0.0224137i | ||||
\(946\) | 10.9991 | + | 4.00335i | 0.357612 | + | 0.130160i | ||||
\(947\) | 6.43448 | + | 5.39917i | 0.209092 | + | 0.175449i | 0.741320 | − | 0.671152i | \(-0.234200\pi\) |
−0.532227 | + | 0.846602i | \(0.678645\pi\) | |||||||
\(948\) | −1.09446 | + | 6.20697i | −0.0355463 | + | 0.201593i | ||||
\(949\) | −3.57573 | −0.116073 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −85.0343 | −2.75742 | ||||||||
\(952\) | −0.0830629 | + | 0.471073i | −0.00269208 | + | 0.0152676i | ||||
\(953\) | −25.8102 | − | 21.6573i | −0.836075 | − | 0.701550i | 0.120602 | − | 0.992701i | \(-0.461517\pi\) |
−0.956677 | + | 0.291151i | \(0.905962\pi\) | |||||||
\(954\) | −19.0069 | − | 6.91793i | −0.615370 | − | 0.223976i | ||||
\(955\) | −15.1515 | + | 5.51470i | −0.490292 | + | 0.178452i | ||||
\(956\) | −0.332997 | + | 0.279418i | −0.0107699 | + | 0.00903701i | ||||
\(957\) | 22.0535 | + | 38.1978i | 0.712888 | + | 1.23476i | ||||
\(958\) | −25.7173 | + | 44.5438i | −0.830890 | + | 1.43914i | ||||
\(959\) | 0.0154253 | + | 0.0874810i | 0.000498108 | + | 0.00282491i | ||||
\(960\) | 3.77972 | + | 21.4358i | 0.121990 | + | 0.691838i | ||||
\(961\) | −9.74809 | + | 16.8842i | −0.314455 | + | 0.544651i | ||||
\(962\) | −8.57192 | − | 14.8470i | −0.276370 | − | 0.478686i | ||||
\(963\) | −41.4805 | + | 34.8062i | −1.33669 | + | 1.12162i | ||||
\(964\) | −2.39646 | + | 0.872240i | −0.0771848 | + | 0.0280930i | ||||
\(965\) | 0.245977 | + | 0.0895284i | 0.00791829 | + | 0.00288202i | ||||
\(966\) | −2.78106 | − | 2.33359i | −0.0894791 | − | 0.0750819i | ||||
\(967\) | 2.03920 | − | 11.5649i | 0.0655763 | − | 0.371902i | −0.934305 | − | 0.356475i | \(-0.883978\pi\) |
0.999881 | − | 0.0154262i | \(-0.00491051\pi\) | |||||||
\(968\) | 17.7847 | 0.571621 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.2003 | −0.359619 | ||||||||
\(971\) | −2.22432 | + | 12.6147i | −0.0713817 | + | 0.404826i | 0.928091 | + | 0.372354i | \(0.121449\pi\) |
−0.999473 | + | 0.0324723i | \(0.989662\pi\) | |||||||
\(972\) | 1.52931 | + | 1.28325i | 0.0490528 | + | 0.0411602i | ||||
\(973\) | −1.39141 | − | 0.506431i | −0.0446065 | − | 0.0162354i | ||||
\(974\) | 9.82934 | − | 3.57759i | 0.314953 | − | 0.114633i | ||||
\(975\) | 23.9971 | − | 20.1359i | 0.768521 | − | 0.644866i | ||||
\(976\) | 16.4140 | + | 28.4299i | 0.525399 | + | 0.910018i | ||||
\(977\) | 7.26382 | − | 12.5813i | 0.232390 | − | 0.402512i | −0.726121 | − | 0.687567i | \(-0.758679\pi\) |
0.958511 | + | 0.285055i | \(0.0920120\pi\) | |||||||
\(978\) | 5.62836 | + | 31.9200i | 0.179975 | + | 1.02069i | ||||
\(979\) | −3.97906 | − | 22.5663i | −0.127171 | − | 0.721224i | ||||
\(980\) | −0.558963 | + | 0.968153i | −0.0178554 | + | 0.0309265i | ||||
\(981\) | −4.82248 | − | 8.35278i | −0.153970 | − | 0.266684i | ||||
\(982\) | −37.9013 | + | 31.8029i | −1.20948 | + | 1.01487i | ||||
\(983\) | −34.8158 | + | 12.6719i | −1.11045 | + | 0.404172i | −0.831159 | − | 0.556034i | \(-0.812322\pi\) |
−0.279293 | + | 0.960206i | \(0.590100\pi\) | |||||||
\(984\) | −19.7173 | − | 7.17653i | −0.628566 | − | 0.228779i | ||||
\(985\) | 8.85251 | + | 7.42814i | 0.282064 | + | 0.236680i | ||||
\(986\) | 0.753089 | − | 4.27098i | 0.0239832 | − | 0.136016i | ||||
\(987\) | −7.29086 | −0.232071 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.5134 | −0.334307 | ||||||||
\(990\) | −2.42380 | + | 13.7461i | −0.0770334 | + | 0.436878i | ||||
\(991\) | −2.62860 | − | 2.20566i | −0.0835004 | − | 0.0700651i | 0.600082 | − | 0.799938i | \(-0.295135\pi\) |
−0.683582 | + | 0.729873i | \(0.739579\pi\) | |||||||
\(992\) | −6.95723 | − | 2.53223i | −0.220892 | − | 0.0803983i | ||||
\(993\) | 74.8556 | − | 27.2452i | 2.37547 | − | 0.864600i | ||||
\(994\) | 3.33544 | − | 2.79876i | 0.105794 | − | 0.0887714i | ||||
\(995\) | 0.112874 | + | 0.195503i | 0.00357835 | + | 0.00619788i | ||||
\(996\) | −3.94562 | + | 6.83402i | −0.125022 | + | 0.216544i | ||||
\(997\) | 2.21853 | + | 12.5819i | 0.0702616 | + | 0.398473i | 0.999574 | + | 0.0291792i | \(0.00928933\pi\) |
−0.929313 | + | 0.369294i | \(0.879600\pi\) | |||||||
\(998\) | 1.15254 | + | 6.53639i | 0.0364831 | + | 0.206906i | ||||
\(999\) | 16.3045 | − | 28.2403i | 0.515852 | − | 0.893483i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))