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: | \(6\) |
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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 82.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.82 |
Dual form | 729.2.e.c.649.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.152704 | − | 0.866025i | −0.107978 | − | 0.612372i | −0.989989 | − | 0.141144i | \(-0.954922\pi\) |
0.882011 | − | 0.471228i | \(-0.156189\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.15270 | − | 0.419550i | 0.576352 | − | 0.209775i | ||||
\(5\) | 2.97178 | + | 2.49362i | 1.32902 | + | 1.11518i | 0.984305 | + | 0.176474i | \(0.0564692\pi\) |
0.344716 | + | 0.938707i | \(0.387975\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.05303 | + | 0.747243i | 0.775974 | + | 0.282431i | 0.699493 | − | 0.714640i | \(-0.253409\pi\) |
0.0764810 | + | 0.997071i | \(0.475632\pi\) | |||||||
\(8\) | −1.41875 | − | 2.45734i | −0.501603 | − | 0.868802i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.70574 | − | 2.95442i | 0.539401 | − | 0.934271i | ||||
\(11\) | 0.124485 | − | 0.104455i | 0.0375337 | − | 0.0314945i | −0.623828 | − | 0.781562i | \(-0.714423\pi\) |
0.661362 | + | 0.750067i | \(0.269979\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.418748 | − | 2.37484i | 0.116140 | − | 0.658662i | −0.870040 | − | 0.492982i | \(-0.835907\pi\) |
0.986180 | − | 0.165680i | \(-0.0529819\pi\) | |||||||
\(14\) | 0.333626 | − | 1.89209i | 0.0891652 | − | 0.505681i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.0320889 | + | 0.0269258i | −0.00802222 | + | 0.00673144i | ||||
\(17\) | −1.50000 | + | 2.59808i | −0.363803 | + | 0.630126i | −0.988583 | − | 0.150675i | \(-0.951855\pi\) |
0.624780 | + | 0.780801i | \(0.285189\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.79813 | − | 3.11446i | −0.412520 | − | 0.714506i | 0.582645 | − | 0.812727i | \(-0.302018\pi\) |
−0.995165 | + | 0.0982214i | \(0.968685\pi\) | |||||||
\(20\) | 4.47178 | + | 1.62760i | 0.999921 | + | 0.363941i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.109470 | − | 0.0918566i | −0.0233392 | − | 0.0195839i | ||||
\(23\) | −2.66637 | + | 0.970481i | −0.555977 | + | 0.202359i | −0.604700 | − | 0.796453i | \(-0.706707\pi\) |
0.0487229 | + | 0.998812i | \(0.484485\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.74510 | + | 9.89695i | 0.349020 | + | 1.97939i | ||||
\(26\) | −2.12061 | −0.415887 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.68004 | 0.506481 | ||||||||
\(29\) | 1.16637 | + | 6.61484i | 0.216590 | + | 1.22834i | 0.878126 | + | 0.478430i | \(0.158794\pi\) |
−0.661535 | + | 0.749914i | \(0.730095\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.87211 | − | 1.77330i | 0.875057 | − | 0.318495i | 0.134844 | − | 0.990867i | \(-0.456947\pi\) |
0.740213 | + | 0.672372i | \(0.234725\pi\) | |||||||
\(32\) | −4.31908 | − | 3.62414i | −0.763512 | − | 0.640663i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.47906 | + | 0.902302i | 0.425155 | + | 0.154744i | ||||
\(35\) | 4.23783 | + | 7.34013i | 0.716323 | + | 1.24071i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.31908 | − | 5.74881i | 0.545653 | − | 0.945099i | −0.452912 | − | 0.891555i | \(-0.649615\pi\) |
0.998566 | − | 0.0535438i | \(-0.0170517\pi\) | |||||||
\(38\) | −2.42262 | + | 2.03282i | −0.393001 | + | 0.329767i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.91147 | − | 10.8405i | 0.302231 | − | 1.71403i | ||||
\(41\) | −1.00727 | + | 5.71253i | −0.157310 | + | 0.892148i | 0.799334 | + | 0.600887i | \(0.205186\pi\) |
−0.956644 | + | 0.291261i | \(0.905925\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.76991 | + | 4.00243i | −0.727405 | + | 0.610365i | −0.929423 | − | 0.369016i | \(-0.879695\pi\) |
0.202018 | + | 0.979382i | \(0.435250\pi\) | |||||||
\(44\) | 0.0996702 | − | 0.172634i | 0.0150259 | − | 0.0260255i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.24763 | + | 2.16095i | 0.183952 | + | 0.318615i | ||||
\(47\) | −6.95084 | − | 2.52990i | −1.01388 | − | 0.369024i | −0.218961 | − | 0.975734i | \(-0.570267\pi\) |
−0.794923 | + | 0.606710i | \(0.792489\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.70574 | − | 1.43128i | −0.243677 | − | 0.204469i | ||||
\(50\) | 8.30453 | − | 3.02260i | 1.17444 | − | 0.427460i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.513671 | − | 2.91317i | −0.0712333 | − | 0.403984i | ||||
\(53\) | 1.40373 | 0.192818 | 0.0964088 | − | 0.995342i | \(-0.469264\pi\) | ||||
0.0964088 | + | 0.995342i | \(0.469264\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.630415 | 0.0850051 | ||||||||
\(56\) | −1.07650 | − | 6.10516i | −0.143854 | − | 0.815836i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.55051 | − | 2.02022i | 0.728817 | − | 0.265268i | ||||
\(59\) | −3.92262 | − | 3.29147i | −0.510681 | − | 0.428513i | 0.350687 | − | 0.936493i | \(-0.385948\pi\) |
−0.861369 | + | 0.507980i | \(0.830392\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.55303 | + | 1.29320i | 0.454919 | + | 0.165577i | 0.559309 | − | 0.828959i | \(-0.311067\pi\) |
−0.104389 | + | 0.994536i | \(0.533289\pi\) | |||||||
\(62\) | −2.27972 | − | 3.94858i | −0.289524 | − | 0.501470i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.52094 | + | 4.36640i | −0.315118 | + | 0.545801i | ||||
\(65\) | 7.16637 | − | 6.01330i | 0.888879 | − | 0.745858i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.01842 | + | 5.77574i | −0.124420 | + | 0.705619i | 0.857231 | + | 0.514932i | \(0.172183\pi\) |
−0.981651 | + | 0.190687i | \(0.938928\pi\) | |||||||
\(68\) | −0.639033 | + | 3.62414i | −0.0774941 | + | 0.439491i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.70961 | − | 4.79093i | 0.682429 | − | 0.572626i | ||||
\(71\) | 7.65910 | − | 13.2660i | 0.908968 | − | 1.57438i | 0.0934675 | − | 0.995622i | \(-0.470205\pi\) |
0.815500 | − | 0.578756i | \(-0.196462\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.34002 | − | 7.51714i | −0.507961 | − | 0.879815i | −0.999958 | − | 0.00921733i | \(-0.997066\pi\) |
0.491996 | − | 0.870597i | \(-0.336267\pi\) | |||||||
\(74\) | −5.48545 | − | 1.99654i | −0.637671 | − | 0.232093i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.37939 | − | 2.83564i | −0.387642 | − | 0.325270i | ||||
\(77\) | 0.333626 | − | 0.121430i | 0.0380202 | − | 0.0138382i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.220285 | − | 1.24930i | −0.0247840 | − | 0.140557i | 0.969905 | − | 0.243484i | \(-0.0782903\pi\) |
−0.994689 | + | 0.102927i | \(0.967179\pi\) | |||||||
\(80\) | −0.162504 | −0.0181685 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.10101 | 0.563313 | ||||||||
\(83\) | −1.47178 | − | 8.34689i | −0.161549 | − | 0.916190i | −0.952552 | − | 0.304377i | \(-0.901552\pi\) |
0.791003 | − | 0.611813i | \(-0.209559\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.9363 | + | 3.98048i | −1.18621 | + | 0.431744i | ||||
\(86\) | 4.19459 | + | 3.51968i | 0.452315 | + | 0.379537i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.433296 | − | 0.157707i | −0.0461895 | − | 0.0168116i | ||||
\(89\) | −3.86097 | − | 6.68739i | −0.409262 | − | 0.708862i | 0.585546 | − | 0.810640i | \(-0.300880\pi\) |
−0.994807 | + | 0.101778i | \(0.967547\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.63429 | − | 4.56272i | 0.276148 | − | 0.478303i | ||||
\(92\) | −2.66637 | + | 2.23735i | −0.277989 | + | 0.233260i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.12954 | + | 6.40593i | −0.116503 | + | 0.660721i | ||||
\(95\) | 2.42262 | − | 13.7394i | 0.248555 | − | 1.40963i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.99273 | + | 2.51120i | −0.303865 | + | 0.254973i | −0.781951 | − | 0.623340i | \(-0.785775\pi\) |
0.478086 | + | 0.878313i | \(0.341331\pi\) | |||||||
\(98\) | −0.979055 | + | 1.69577i | −0.0988995 | + | 0.171299i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.16385 | + | 10.6761i | 0.616385 | + | 1.06761i | ||||
\(101\) | 7.62449 | + | 2.77509i | 0.758665 | + | 0.276131i | 0.692247 | − | 0.721661i | \(-0.256621\pi\) |
0.0664176 | + | 0.997792i | \(0.478843\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.2836 | + | 11.9854i | 1.40740 | + | 1.18095i | 0.957698 | + | 0.287775i | \(0.0929155\pi\) |
0.449705 | + | 0.893177i | \(0.351529\pi\) | |||||||
\(104\) | −6.42989 | + | 2.34029i | −0.630503 | + | 0.229484i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.214355 | − | 1.21567i | −0.0208200 | − | 0.118076i | ||||
\(107\) | 7.59627 | 0.734359 | 0.367179 | − | 0.930150i | \(-0.380324\pi\) | ||||
0.367179 | + | 0.930150i | \(0.380324\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.6382 | −1.49786 | −0.748932 | − | 0.662647i | \(-0.769433\pi\) | ||||
−0.748932 | + | 0.662647i | \(0.769433\pi\) | |||||||
\(110\) | −0.0962667 | − | 0.545955i | −0.00917867 | − | 0.0520548i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0859997 | + | 0.0313013i | −0.00812620 | + | 0.00295770i | ||||
\(113\) | −1.77197 | − | 1.48686i | −0.166693 | − | 0.139872i | 0.555625 | − | 0.831433i | \(-0.312479\pi\) |
−0.722318 | + | 0.691561i | \(0.756923\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.3439 | − | 3.76487i | −0.964573 | − | 0.351076i | ||||
\(116\) | 4.11974 | + | 7.13559i | 0.382508 | + | 0.662523i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.25150 | + | 3.89971i | −0.207267 | + | 0.358997i | ||||
\(119\) | −5.02094 | + | 4.21307i | −0.460269 | + | 0.386212i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.90554 | + | 10.8069i | −0.173231 | + | 0.982444i | ||||
\(122\) | 0.577382 | − | 3.27449i | 0.0522737 | − | 0.296459i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.87211 | − | 4.08819i | 0.437529 | − | 0.367130i | ||||
\(125\) | −9.79473 | + | 16.9650i | −0.876067 | + | 1.51739i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0209445 | − | 0.0362770i | −0.00185853 | − | 0.00321906i | 0.865095 | − | 0.501609i | \(-0.167258\pi\) |
−0.866953 | + | 0.498390i | \(0.833925\pi\) | |||||||
\(128\) | −6.42989 | − | 2.34029i | −0.568328 | − | 0.206854i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.30200 | − | 5.28801i | −0.552722 | − | 0.463789i | ||||
\(131\) | −17.2417 | + | 6.27546i | −1.50641 | + | 0.548290i | −0.957712 | − | 0.287728i | \(-0.907100\pi\) |
−0.548702 | + | 0.836018i | \(0.684878\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.36437 | − | 7.73773i | −0.118306 | − | 0.670946i | ||||
\(134\) | 5.15745 | 0.445536 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.51249 | 0.729940 | ||||||||
\(137\) | 2.48545 | + | 14.0957i | 0.212347 | + | 1.20428i | 0.885452 | + | 0.464731i | \(0.153849\pi\) |
−0.673106 | + | 0.739546i | \(0.735040\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.86231 | + | 3.58959i | −0.836510 | + | 0.304465i | −0.724528 | − | 0.689245i | \(-0.757942\pi\) |
−0.111982 | + | 0.993710i | \(0.535720\pi\) | |||||||
\(140\) | 7.96451 | + | 6.68302i | 0.673124 | + | 0.564818i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.6582 | − | 4.60722i | −1.06225 | − | 0.386629i | ||||
\(143\) | −0.195937 | − | 0.339373i | −0.0163851 | − | 0.0283798i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.0287 | + | 22.5663i | −1.08197 | + | 1.87403i | ||||
\(146\) | −5.84730 | + | 4.90646i | −0.483926 | + | 0.406062i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.41400 | − | 8.01919i | 0.116230 | − | 0.659174i | ||||
\(149\) | −0.220752 | + | 1.25195i | −0.0180847 | + | 0.102563i | −0.992514 | − | 0.122131i | \(-0.961027\pi\) |
0.974429 | + | 0.224694i | \(0.0721383\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.01889 | − | 5.05044i | 0.489810 | − | 0.410999i | −0.364148 | − | 0.931341i | \(-0.618640\pi\) |
0.853958 | + | 0.520342i | \(0.174195\pi\) | |||||||
\(152\) | −5.10220 | + | 8.83726i | −0.413843 | + | 0.716797i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.156107 | − | 0.270386i | −0.0125795 | − | 0.0217883i | ||||
\(155\) | 18.9008 | + | 6.87933i | 1.51815 | + | 0.552561i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −9.46245 | − | 7.93994i | −0.755186 | − | 0.633676i | 0.181683 | − | 0.983357i | \(-0.441845\pi\) |
−0.936869 | + | 0.349681i | \(0.886290\pi\) | |||||||
\(158\) | −1.04829 | + | 0.381545i | −0.0833971 | + | 0.0303541i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.79813 | − | 21.5403i | −0.300269 | − | 1.70291i | ||||
\(161\) | −6.19934 | −0.488576 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.7469 | −1.07674 | −0.538371 | − | 0.842708i | \(-0.680960\pi\) | ||||
−0.538371 | + | 0.842708i | \(0.680960\pi\) | |||||||
\(164\) | 1.23560 | + | 7.00746i | 0.0964845 | + | 0.547191i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.00387 | + | 2.54920i | −0.543606 | + | 0.197856i | ||||
\(167\) | −2.84730 | − | 2.38917i | −0.220330 | − | 0.184879i | 0.525941 | − | 0.850521i | \(-0.323713\pi\) |
−0.746271 | + | 0.665642i | \(0.768158\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.75150 | + | 2.45734i | 0.519346 | + | 0.189026i | ||||
\(170\) | 5.11721 | + | 8.86327i | 0.392472 | + | 0.679782i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.81908 | + | 6.61484i | −0.291202 | + | 0.504377i | ||||
\(173\) | −1.19459 | + | 1.00238i | −0.0908232 | + | 0.0762097i | −0.687069 | − | 0.726592i | \(-0.741103\pi\) |
0.596246 | + | 0.802802i | \(0.296658\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.81268 | + | 21.6228i | −0.288212 | + | 1.63453i | ||||
\(176\) | −0.00118205 | + | 0.00670372i | −8.91001e−5 | + | 0.000505312i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.20187 | + | 4.36488i | −0.389896 | + | 0.327162i | ||||
\(179\) | 6.09627 | − | 10.5590i | 0.455656 | − | 0.789220i | −0.543069 | − | 0.839688i | \(-0.682738\pi\) |
0.998726 | + | 0.0504679i | \(0.0160713\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.43629 | + | 14.6121i | 0.627064 | + | 1.08611i | 0.988138 | + | 0.153570i | \(0.0490771\pi\) |
−0.361073 | + | 0.932537i | \(0.617590\pi\) | |||||||
\(182\) | −4.35369 | − | 1.58461i | −0.322717 | − | 0.117459i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.16772 | + | 5.17533i | 0.454690 | + | 0.381530i | ||||
\(185\) | 24.1989 | − | 8.80769i | 1.77914 | − | 0.647554i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0846555 | + | 0.480105i | 0.00619062 | + | 0.0351088i | ||||
\(188\) | −9.07367 | −0.661766 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.2686 | −0.890056 | ||||||||
\(191\) | −3.03462 | − | 17.2102i | −0.219577 | − | 1.24528i | −0.872785 | − | 0.488105i | \(-0.837688\pi\) |
0.653208 | − | 0.757179i | \(-0.273423\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.87211 | − | 0.681393i | 0.134758 | − | 0.0490477i | −0.273761 | − | 0.961798i | \(-0.588268\pi\) |
0.408519 | + | 0.912750i | \(0.366046\pi\) | |||||||
\(194\) | 2.63176 | + | 2.20831i | 0.188949 | + | 0.158547i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.56670 | − | 0.934204i | −0.183336 | − | 0.0667288i | ||||
\(197\) | −10.5963 | − | 18.3533i | −0.754953 | − | 1.30762i | −0.945398 | − | 0.325919i | \(-0.894326\pi\) |
0.190445 | − | 0.981698i | \(-0.439007\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.54189 | − | 2.67063i | 0.109302 | − | 0.189316i | −0.806186 | − | 0.591662i | \(-0.798472\pi\) |
0.915488 | + | 0.402346i | \(0.131805\pi\) | |||||||
\(200\) | 21.8444 | − | 18.3296i | 1.54463 | − | 1.29610i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.23901 | − | 7.02676i | 0.0871763 | − | 0.494401i | ||||
\(203\) | −2.54829 | + | 14.4520i | −0.178855 | + | 1.01433i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.2383 | + | 14.4646i | −1.20397 | + | 1.01025i | ||||
\(206\) | 8.19846 | − | 14.2002i | 0.571214 | − | 0.989372i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0505072 | + | 0.0874810i | 0.00350204 | + | 0.00606572i | ||||
\(209\) | −0.549163 | − | 0.199879i | −0.0379864 | − | 0.0138259i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.771974 | + | 0.647763i | 0.0531449 | + | 0.0445939i | 0.668973 | − | 0.743287i | \(-0.266734\pi\) |
−0.615828 | + | 0.787880i | \(0.711179\pi\) | |||||||
\(212\) | 1.61809 | − | 0.588936i | 0.111131 | − | 0.0404483i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.15998 | − | 6.57856i | −0.0792944 | − | 0.449701i | ||||
\(215\) | −24.1557 | −1.64740 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.3277 | 0.768974 | ||||||||
\(218\) | 2.38800 | + | 13.5430i | 0.161736 | + | 0.917250i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.726682 | − | 0.264490i | 0.0489929 | − | 0.0178319i | ||||
\(221\) | 5.54189 | + | 4.65020i | 0.372788 | + | 0.312806i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.1814 | − | 6.25351i | −1.15055 | − | 0.418766i | −0.304838 | − | 0.952404i | \(-0.598602\pi\) |
−0.845713 | + | 0.533638i | \(0.820825\pi\) | |||||||
\(224\) | −6.15910 | − | 10.6679i | −0.411522 | − | 0.712777i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.01707 | + | 1.76162i | −0.0676548 | + | 0.117181i | ||||
\(227\) | −2.02616 | + | 1.70015i | −0.134481 | + | 0.112843i | −0.707547 | − | 0.706666i | \(-0.750198\pi\) |
0.573066 | + | 0.819509i | \(0.305754\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.601319 | + | 3.41025i | −0.0397363 | + | 0.225356i | −0.998209 | − | 0.0598300i | \(-0.980944\pi\) |
0.958472 | + | 0.285186i | \(0.0920553\pi\) | |||||||
\(230\) | −1.68092 | + | 9.53298i | −0.110837 | + | 0.628586i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.6001 | − | 12.2510i | 0.958546 | − | 0.804316i | ||||
\(233\) | −3.06283 | + | 5.30498i | −0.200653 | + | 0.347541i | −0.948739 | − | 0.316061i | \(-0.897640\pi\) |
0.748086 | + | 0.663602i | \(0.230973\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −14.3478 | − | 24.8511i | −0.935945 | − | 1.62110i | ||||
\(236\) | −5.90255 | − | 2.14835i | −0.384223 | − | 0.139846i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.41534 | + | 3.70491i | 0.286204 | + | 0.240154i | ||||
\(239\) | 27.2053 | − | 9.90193i | 1.75977 | − | 0.640503i | 0.759813 | − | 0.650142i | \(-0.225291\pi\) |
0.999954 | + | 0.00963943i | \(0.00306837\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.87686 | + | 21.9868i | 0.249730 | + | 1.41629i | 0.809245 | + | 0.587471i | \(0.199876\pi\) |
−0.559515 | + | 0.828820i | \(0.689012\pi\) | |||||||
\(242\) | 9.65002 | 0.620326 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.63816 | 0.296927 | ||||||||
\(245\) | −1.50000 | − | 8.50692i | −0.0958315 | − | 0.543487i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.14930 | + | 2.96610i | −0.518528 | + | 0.188729i | ||||
\(248\) | −11.2699 | − | 9.45658i | −0.715640 | − | 0.600494i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 16.1878 | + | 5.89187i | 1.02381 | + | 0.372635i | ||||
\(251\) | 11.3610 | + | 19.6778i | 0.717098 | + | 1.24205i | 0.962145 | + | 0.272539i | \(0.0878633\pi\) |
−0.245047 | + | 0.969511i | \(0.578803\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.230552 | + | 0.399328i | −0.0144947 | + | 0.0251055i | ||||
\(254\) | −0.0282185 | + | 0.0236781i | −0.00177059 | + | 0.00148570i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.79591 | + | 15.8564i | −0.174744 | + | 0.991025i | ||||
\(257\) | −3.40167 | + | 19.2919i | −0.212191 | + | 1.20339i | 0.673525 | + | 0.739164i | \(0.264779\pi\) |
−0.885716 | + | 0.464228i | \(0.846332\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 11.1099 | − | 9.32234i | 0.690338 | − | 0.579262i | ||||
\(260\) | 5.73783 | − | 9.93821i | 0.355845 | − | 0.616341i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.06758 | + | 13.9735i | 0.498417 | + | 0.863283i | ||||
\(263\) | −16.7271 | − | 6.08818i | −1.03144 | − | 0.375414i | −0.229811 | − | 0.973235i | \(-0.573811\pi\) |
−0.801629 | + | 0.597822i | \(0.796033\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.17159 | + | 3.50038i | 0.256259 | + | 0.215027i | ||||
\(266\) | −6.49273 | + | 2.36316i | −0.398095 | + | 0.144895i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.24928 | + | 7.08499i | 0.0763116 | + | 0.432785i | ||||
\(269\) | 22.7888 | 1.38946 | 0.694729 | − | 0.719272i | \(-0.255524\pi\) | ||||
0.694729 | + | 0.719272i | \(0.255524\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.44562 | −0.209307 | −0.104653 | − | 0.994509i | \(-0.533373\pi\) | ||||
−0.104653 | + | 0.994509i | \(0.533373\pi\) | |||||||
\(272\) | −0.0218219 | − | 0.123758i | −0.00132315 | − | 0.00750393i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.8277 | − | 4.30493i | 0.714537 | − | 0.260070i | ||||
\(275\) | 1.25103 | + | 1.04974i | 0.0754399 | + | 0.0633016i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.45589 | + | 0.893871i | 0.147560 | + | 0.0537075i | 0.414744 | − | 0.909938i | \(-0.363871\pi\) |
−0.267184 | + | 0.963645i | \(0.586093\pi\) | |||||||
\(278\) | 4.61468 | + | 7.99287i | 0.276770 | + | 0.479380i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.0248 | − | 20.8276i | 0.718620 | − | 1.24469i | ||||
\(281\) | −10.4834 | + | 8.79661i | −0.625387 | + | 0.524762i | −0.899492 | − | 0.436938i | \(-0.856063\pi\) |
0.274105 | + | 0.961700i | \(0.411618\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.97313 | − | 22.5327i | 0.236178 | − | 1.33943i | −0.603941 | − | 0.797029i | \(-0.706404\pi\) |
0.840119 | − | 0.542402i | \(-0.182485\pi\) | |||||||
\(284\) | 3.26295 | − | 18.5051i | 0.193620 | − | 1.09807i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.263985 | + | 0.221510i | −0.0156098 | + | 0.0130981i | ||||
\(287\) | −6.33662 | + | 10.9753i | −0.374039 | + | 0.647854i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | 21.5326 | + | 7.83721i | 1.26444 | + | 0.460217i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.15657 | − | 6.84418i | −0.477327 | − | 0.400525i | ||||
\(293\) | −22.8170 | + | 8.30472i | −1.33298 | + | 0.485167i | −0.907596 | − | 0.419844i | \(-0.862085\pi\) |
−0.425388 | + | 0.905011i | \(0.639862\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.44949 | − | 19.5630i | −0.200837 | − | 1.13900i | ||||
\(296\) | −18.8357 | −1.09481 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.11793 | 0.0647597 | ||||||||
\(299\) | 1.18820 | + | 6.73859i | 0.0687152 | + | 0.389703i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.7836 | + | 4.65284i | −0.736834 | + | 0.268186i | ||||
\(302\) | −5.29292 | − | 4.44129i | −0.304573 | − | 0.255567i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.141559 | + | 0.0515234i | 0.00811898 | + | 0.00295507i | ||||
\(305\) | 7.33409 | + | 12.7030i | 0.419949 | + | 0.727373i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.07444 | − | 13.9853i | 0.460833 | − | 0.798186i | −0.538170 | − | 0.842836i | \(-0.680884\pi\) |
0.999003 | + | 0.0446505i | \(0.0142174\pi\) | |||||||
\(308\) | 0.333626 | − | 0.279945i | 0.0190101 | − | 0.0159514i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.07145 | − | 17.4191i | 0.174447 | − | 0.989337i | ||||
\(311\) | 3.24897 | − | 18.4258i | 0.184232 | − | 1.04483i | −0.742706 | − | 0.669618i | \(-0.766458\pi\) |
0.926938 | − | 0.375215i | \(-0.122431\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.12449 | − | 1.78265i | 0.120083 | − | 0.100762i | −0.580769 | − | 0.814069i | \(-0.697248\pi\) |
0.700852 | + | 0.713307i | \(0.252803\pi\) | |||||||
\(314\) | −5.43124 | + | 9.40718i | −0.306502 | + | 0.530878i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.778066 | − | 1.34765i | −0.0437696 | − | 0.0758112i | ||||
\(317\) | −16.4281 | − | 5.97935i | −0.922696 | − | 0.335834i | −0.163386 | − | 0.986562i | \(-0.552241\pi\) |
−0.759311 | + | 0.650728i | \(0.774464\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.836152 | + | 0.701615i | 0.0468155 | + | 0.0392829i | ||||
\(320\) | −18.3799 | + | 6.68972i | −1.02746 | + | 0.373967i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.946662 | + | 5.36879i | 0.0527554 | + | 0.299191i | ||||
\(323\) | 10.7888 | 0.600305 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.2344 | 1.34428 | ||||||||
\(326\) | 2.09920 | + | 11.9052i | 0.116264 | + | 0.659367i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 15.4667 | − | 5.62943i | 0.854007 | − | 0.310833i | ||||
\(329\) | −12.3799 | − | 10.3879i | −0.682523 | − | 0.572705i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 30.5018 | + | 11.1018i | 1.67653 | + | 0.610207i | 0.992828 | − | 0.119553i | \(-0.0381460\pi\) |
0.683703 | + | 0.729760i | \(0.260368\pi\) | |||||||
\(332\) | −5.19846 | − | 9.00400i | −0.285303 | − | 0.494159i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.63429 | + | 2.83067i | −0.0894241 | + | 0.154887i | ||||
\(335\) | −17.4290 | + | 14.6247i | −0.952249 | + | 0.799032i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.43882 | − | 8.15993i | 0.0783773 | − | 0.444500i | −0.920213 | − | 0.391418i | \(-0.871985\pi\) |
0.998590 | − | 0.0530814i | \(-0.0169043\pi\) | |||||||
\(338\) | 1.09714 | − | 6.22221i | 0.0596768 | − | 0.338444i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −10.9363 | + | 9.17664i | −0.593104 | + | 0.497673i | ||||
\(341\) | 0.421274 | − | 0.729669i | 0.0228133 | − | 0.0395138i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0792 | − | 17.4577i | −0.544225 | − | 0.942626i | ||||
\(344\) | 16.6027 | + | 6.04288i | 0.895156 | + | 0.325810i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.05051 | + | 0.881480i | 0.0564756 | + | 0.0473887i | ||||
\(347\) | −14.0608 | + | 5.11770i | −0.754822 | + | 0.274733i | −0.690633 | − | 0.723205i | \(-0.742668\pi\) |
−0.0641886 | + | 0.997938i | \(0.520446\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.84255 | + | 33.1347i | 0.312744 | + | 1.77366i | 0.584598 | + | 0.811323i | \(0.301252\pi\) |
−0.271853 | + | 0.962339i | \(0.587637\pi\) | |||||||
\(350\) | 19.3081 | 1.03206 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.916222 | −0.0488348 | ||||||||
\(353\) | −2.73560 | − | 15.5144i | −0.145602 | − | 0.825747i | −0.966882 | − | 0.255223i | \(-0.917851\pi\) |
0.821281 | − | 0.570524i | \(-0.193260\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 55.8414 | − | 20.3246i | 2.96375 | − | 1.07872i | ||||
\(356\) | −7.25624 | − | 6.08871i | −0.384580 | − | 0.322701i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.0753 | − | 3.66712i | −0.532497 | − | 0.193813i | ||||
\(359\) | −9.06283 | − | 15.6973i | −0.478318 | − | 0.828471i | 0.521373 | − | 0.853329i | \(-0.325420\pi\) |
−0.999691 | + | 0.0248577i | \(0.992087\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.03343 | − | 5.25406i | 0.159654 | − | 0.276529i | ||||
\(362\) | 11.3662 | − | 9.53736i | 0.597393 | − | 0.501272i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.12226 | − | 6.36467i | 0.0588226 | − | 0.333600i | ||||
\(365\) | 5.84730 | − | 33.1617i | 0.306061 | − | 1.73576i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.6643 | + | 12.3048i | −0.765471 | + | 0.642306i | −0.939545 | − | 0.342426i | \(-0.888751\pi\) |
0.174074 | + | 0.984733i | \(0.444307\pi\) | |||||||
\(368\) | 0.0594300 | − | 0.102936i | 0.00309800 | − | 0.00536590i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.3229 | − | 19.6119i | −0.588652 | − | 1.01958i | ||||
\(371\) | 2.88191 | + | 1.04893i | 0.149621 | + | 0.0544577i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.6821 | − | 9.80245i | −0.604876 | − | 0.507552i | 0.288132 | − | 0.957591i | \(-0.406966\pi\) |
−0.893009 | + | 0.450039i | \(0.851410\pi\) | |||||||
\(374\) | 0.402856 | − | 0.146628i | 0.0208312 | − | 0.00758193i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.64466 | + | 20.6699i | 0.187959 | + | 1.06597i | ||||
\(377\) | 16.1976 | 0.834218 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.84760 | 0.505837 | 0.252919 | − | 0.967488i | \(-0.418610\pi\) | ||||
0.252919 | + | 0.967488i | \(0.418610\pi\) | |||||||
\(380\) | −2.97178 | − | 16.8538i | −0.152449 | − | 0.864582i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.4410 | + | 5.25611i | −0.738868 | + | 0.268926i | ||||
\(383\) | 21.7481 | + | 18.2488i | 1.11128 | + | 0.932471i | 0.998131 | − | 0.0611076i | \(-0.0194633\pi\) |
0.113144 | + | 0.993579i | \(0.463908\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.29426 | + | 0.471073i | 0.0659617 | + | 0.0240081i | ||||
\(386\) | −0.875982 | − | 1.51724i | −0.0445863 | − | 0.0772257i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.39615 | + | 4.15026i | −0.121646 | + | 0.210698i | ||||
\(389\) | 8.33796 | − | 6.99638i | 0.422752 | − | 0.354731i | −0.406457 | − | 0.913670i | \(-0.633236\pi\) |
0.829209 | + | 0.558939i | \(0.188791\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.47818 | − | 8.38316i | 0.0747547 | − | 0.423955i | ||||
\(392\) | −1.09714 | + | 6.22221i | −0.0554141 | + | 0.314269i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −14.2763 | + | 11.9792i | −0.719230 | + | 0.603506i | ||||
\(395\) | 2.46064 | − | 4.26195i | 0.123808 | − | 0.214442i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.05350 | + | 15.6811i | 0.454382 | + | 0.787013i | 0.998652 | − | 0.0518969i | \(-0.0165267\pi\) |
−0.544270 | + | 0.838910i | \(0.683193\pi\) | |||||||
\(398\) | −2.54829 | − | 0.927500i | −0.127734 | − | 0.0464914i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.322481 | − | 0.270594i | −0.0161241 | − | 0.0135297i | ||||
\(401\) | −1.34730 | + | 0.490376i | −0.0672808 | + | 0.0244882i | −0.375441 | − | 0.926846i | \(-0.622509\pi\) |
0.308161 | + | 0.951334i | \(0.400287\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.17112 | − | 12.3130i | −0.108151 | − | 0.613356i | ||||
\(404\) | 9.95306 | 0.495183 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 12.9050 | 0.640463 | ||||||||
\(407\) | −0.187319 | − | 1.06234i | −0.00928505 | − | 0.0526581i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.08512 | + | 2.94274i | −0.399784 | + | 0.145509i | −0.534084 | − | 0.845431i | \(-0.679343\pi\) |
0.134301 | + | 0.990941i | \(0.457121\pi\) | |||||||
\(410\) | 15.1591 | + | 12.7200i | 0.748655 | + | 0.628196i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.4932 | + | 7.82288i | 1.05889 | + | 0.385406i | ||||
\(413\) | −5.59374 | − | 9.68864i | −0.275250 | − | 0.476747i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.4402 | − | 28.4752i | 0.807016 | − | 1.39779i | ||||
\(416\) | −10.4153 | + | 8.73951i | −0.510654 | + | 0.428490i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0892411 | + | 0.506111i | −0.00436492 | + | 0.0247547i | ||||
\(419\) | −2.13785 | + | 12.1244i | −0.104441 | + | 0.592314i | 0.887001 | + | 0.461767i | \(0.152784\pi\) |
−0.991442 | + | 0.130547i | \(0.958327\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.51573 | − | 7.14555i | 0.415031 | − | 0.348253i | −0.411238 | − | 0.911528i | \(-0.634903\pi\) |
0.826269 | + | 0.563275i | \(0.190459\pi\) | |||||||
\(422\) | 0.443096 | − | 0.767465i | 0.0215696 | − | 0.0373596i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.99154 | − | 3.44946i | −0.0967179 | − | 0.167520i | ||||
\(425\) | −28.3307 | − | 10.3115i | −1.37424 | − | 0.500183i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.32816 | + | 5.30996i | 0.306241 | + | 0.256967i | ||||
\(428\) | 8.75624 | − | 3.18701i | 0.423249 | − | 0.154050i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.68866 | + | 20.9194i | 0.177883 | + | 1.00883i | ||||
\(431\) | −36.8958 | −1.77721 | −0.888604 | − | 0.458675i | \(-0.848324\pi\) | ||||
−0.888604 | + | 0.458675i | \(0.848324\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −37.9982 | −1.82608 | −0.913040 | − | 0.407871i | \(-0.866271\pi\) | ||||
−0.913040 | + | 0.407871i | \(0.866271\pi\) | |||||||
\(434\) | −1.72978 | − | 9.81007i | −0.0830321 | − | 0.470899i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0262 | + | 6.56099i | −0.863296 | + | 0.314214i | ||||
\(437\) | 7.81702 | + | 6.55926i | 0.373939 | + | 0.313772i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.189845 | − | 0.0690979i | −0.00906081 | − | 0.00329786i | 0.337486 | − | 0.941331i | \(-0.390424\pi\) |
−0.346547 | + | 0.938033i | \(0.612646\pi\) | |||||||
\(440\) | −0.894400 | − | 1.54915i | −0.0426388 | − | 0.0738526i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.18092 | − | 5.50952i | 0.151301 | − | 0.262061i | ||||
\(443\) | 16.2626 | − | 13.6460i | 0.772661 | − | 0.648340i | −0.168728 | − | 0.985663i | \(-0.553966\pi\) |
0.941389 | + | 0.337323i | \(0.109521\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.20187 | − | 29.5013i | 0.246592 | − | 1.39849i | ||||
\(446\) | −2.79204 | + | 15.8345i | −0.132207 | + | 0.749783i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.43835 | + | 7.08062i | −0.398674 | + | 0.334528i | ||||
\(449\) | 16.6297 | − | 28.8035i | 0.784804 | − | 1.35932i | −0.144312 | − | 0.989532i | \(-0.546097\pi\) |
0.929116 | − | 0.369788i | \(-0.120570\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.471315 | + | 0.816341i | 0.0221933 | + | 0.0384400i | ||||
\(452\) | −2.66637 | − | 0.970481i | −0.125416 | − | 0.0456476i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.78177 | + | 1.49509i | 0.0836228 | + | 0.0701679i | ||||
\(455\) | 19.2062 | − | 6.99049i | 0.900401 | − | 0.327719i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.00592979 | − | 0.0336295i | −0.000277384 | − | 0.00157312i | 0.984669 | − | 0.174435i | \(-0.0558098\pi\) |
−0.984946 | + | 0.172862i | \(0.944699\pi\) | |||||||
\(458\) | 3.04519 | 0.142292 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.5030 | −0.629580 | ||||||||
\(461\) | −2.60236 | − | 14.7587i | −0.121204 | − | 0.687382i | −0.983490 | − | 0.180961i | \(-0.942079\pi\) |
0.862286 | − | 0.506421i | \(-0.169032\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.6065 | − | 10.4119i | 1.32946 | − | 0.483883i | 0.422981 | − | 0.906138i | \(-0.360984\pi\) |
0.906477 | + | 0.422255i | \(0.138761\pi\) | |||||||
\(464\) | −0.215537 | − | 0.180857i | −0.0100061 | − | 0.00839609i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.06196 | + | 1.84240i | 0.234491 | + | 0.0853476i | ||||
\(467\) | 0.255367 | + | 0.442308i | 0.0118170 | + | 0.0204676i | 0.871873 | − | 0.489731i | \(-0.162905\pi\) |
−0.860056 | + | 0.510199i | \(0.829572\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.40673 | + | 11.0968i | −0.295835 | + | 0.512401i | ||||
\(470\) | −19.3307 | + | 16.2204i | −0.891658 | + | 0.748190i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.52306 | + | 14.3090i | −0.116133 | + | 0.658624i | ||||
\(473\) | −0.175708 | + | 0.996487i | −0.00807904 | + | 0.0458185i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 27.6857 | − | 23.2311i | 1.27031 | − | 1.06592i | ||||
\(476\) | −4.02007 | + | 6.96296i | −0.184259 | + | 0.319147i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −12.7297 | − | 22.0484i | −0.582242 | − | 1.00847i | ||||
\(479\) | 14.5189 | + | 5.28444i | 0.663385 | + | 0.241452i | 0.651697 | − | 0.758479i | \(-0.274057\pi\) |
0.0116878 | + | 0.999932i | \(0.496280\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −12.2626 | − | 10.2896i | −0.559128 | − | 0.469164i | ||||
\(482\) | 18.4491 | − | 6.71492i | 0.840333 | − | 0.305856i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.33750 | + | 13.2566i | 0.106250 | + | 0.602573i | ||||
\(485\) | −15.1557 | −0.688185 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.5107 | 1.33726 | 0.668629 | − | 0.743596i | \(-0.266881\pi\) | ||||
0.668629 | + | 0.743596i | \(0.266881\pi\) | |||||||
\(488\) | −1.86303 | − | 10.5657i | −0.0843352 | − | 0.478289i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.13816 | + | 2.59808i | −0.322469 | + | 0.117369i | ||||
\(491\) | 1.65270 | + | 1.38678i | 0.0745855 | + | 0.0625846i | 0.679318 | − | 0.733844i | \(-0.262276\pi\) |
−0.604733 | + | 0.796428i | \(0.706720\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.9354 | − | 6.89193i | −0.852808 | − | 0.310397i | ||||
\(494\) | 3.81315 | + | 6.60457i | 0.171562 | + | 0.297153i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.108593 | + | 0.188089i | −0.00487597 | + | 0.00844543i | ||||
\(497\) | 25.6373 | − | 21.5122i | 1.14999 | − | 0.964955i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.30154 | − | 7.38138i | 0.0582648 | − | 0.330436i | −0.941717 | − | 0.336405i | \(-0.890789\pi\) |
0.999982 | + | 0.00596898i | \(0.00190000\pi\) | |||||||
\(500\) | −4.17277 | + | 23.6650i | −0.186612 | + | 1.05833i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.3066 | − | 12.8438i | 0.683167 | − | 0.573245i | ||||
\(503\) | −14.2981 | + | 24.7651i | −0.637522 | + | 1.10422i | 0.348453 | + | 0.937326i | \(0.386707\pi\) |
−0.985975 | + | 0.166894i | \(0.946626\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.7383 | + | 27.2595i | 0.700345 | + | 1.21303i | ||||
\(506\) | 0.381034 | + | 0.138685i | 0.0169390 | + | 0.00616530i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.0393628 | − | 0.0330293i | −0.00174644 | − | 0.00146544i | ||||
\(509\) | 1.58987 | − | 0.578665i | 0.0704698 | − | 0.0256489i | −0.306545 | − | 0.951856i | \(-0.599173\pi\) |
0.377015 | + | 0.926207i | \(0.376951\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.29308 | − | 18.6760i | −0.145677 | − | 0.826177i | ||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.2267 | 0.759836 | ||||||||
\(515\) | 12.5608 | + | 71.2357i | 0.553494 | + | 3.13902i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.12954 | + | 0.411118i | −0.0496770 | + | 0.0180810i | ||||
\(518\) | −9.76991 | − | 8.19793i | −0.429265 | − | 0.360196i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −24.9440 | − | 9.07888i | −1.09387 | − | 0.398135i | ||||
\(521\) | 11.2019 | + | 19.4022i | 0.490763 | + | 0.850026i | 0.999943 | − | 0.0106337i | \(-0.00338487\pi\) |
−0.509181 | + | 0.860660i | \(0.670052\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.21436 | + | 2.10332i | −0.0531000 | + | 0.0919720i | −0.891354 | − | 0.453309i | \(-0.850244\pi\) |
0.838254 | + | 0.545281i | \(0.183577\pi\) | |||||||
\(524\) | −17.2417 | + | 14.4675i | −0.753207 | + | 0.632016i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.71823 | + | 15.4158i | −0.118520 | + | 0.672162i | ||||
\(527\) | −2.70099 | + | 15.3181i | −0.117657 | + | 0.667266i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.4513 | + | 9.60878i | −0.497883 | + | 0.417773i | ||||
\(530\) | 2.39440 | − | 4.14722i | 0.104006 | − | 0.180144i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.81908 | − | 8.34689i | −0.208934 | − | 0.361883i | ||||
\(533\) | 13.1446 | + | 4.78423i | 0.569354 | + | 0.207228i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.5744 | + | 18.9422i | 0.975978 | + | 0.818943i | ||||
\(536\) | 15.6379 | − | 5.69171i | 0.675452 | − | 0.245845i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.47993 | − | 19.7357i | −0.150031 | − | 0.850866i | ||||
\(539\) | −0.361844 | −0.0155857 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 38.9394 | 1.67414 | 0.837069 | − | 0.547098i | \(-0.184267\pi\) | ||||
0.837069 | + | 0.547098i | \(0.184267\pi\) | |||||||
\(542\) | 0.526159 | + | 2.98400i | 0.0226005 | + | 0.128174i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.8944 | − | 5.78509i | 0.681467 | − | 0.248034i | ||||
\(545\) | −46.4732 | − | 38.9956i | −1.99069 | − | 1.67039i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.7875 | + | 5.01822i | 0.589509 | + | 0.214564i | 0.619513 | − | 0.784986i | \(-0.287330\pi\) |
−0.0300044 | + | 0.999550i | \(0.509552\pi\) | |||||||
\(548\) | 8.77884 | + | 15.2054i | 0.375013 | + | 0.649542i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.718063 | − | 1.24372i | 0.0306183 | − | 0.0530325i | ||||
\(551\) | 18.5043 | − | 15.5270i | 0.788311 | − | 0.661472i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.481277 | − | 2.72946i | 0.0204660 | − | 0.116068i | ||||
\(554\) | 0.399091 | − | 2.26336i | 0.0169558 | − | 0.0961609i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.86231 | + | 8.27546i | −0.418255 | + | 0.350958i | ||||
\(557\) | 5.55350 | − | 9.61894i | 0.235309 | − | 0.407568i | −0.724053 | − | 0.689744i | \(-0.757723\pi\) |
0.959363 | + | 0.282176i | \(0.0910563\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.50774 | + | 13.0038i | 0.317544 | + | 0.550002i | ||||
\(560\) | −0.333626 | − | 0.121430i | −0.0140983 | − | 0.00513135i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.21894 | + | 7.73561i | 0.388878 | + | 0.326307i | ||||
\(563\) | −15.3246 | + | 5.57770i | −0.645855 | + | 0.235072i | −0.644117 | − | 0.764927i | \(-0.722775\pi\) |
−0.00173729 | + | 0.999998i | \(0.500553\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.55825 | − | 8.83726i | −0.0655560 | − | 0.371786i | ||||
\(566\) | −20.1206 | −0.845733 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −43.4653 | −1.82376 | ||||||||
\(569\) | 6.25418 | + | 35.4692i | 0.262189 | + | 1.48695i | 0.776922 | + | 0.629597i | \(0.216780\pi\) |
−0.514733 | + | 0.857351i | \(0.672109\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −36.7968 | + | 13.3930i | −1.53990 | + | 0.560478i | −0.966021 | − | 0.258462i | \(-0.916784\pi\) |
−0.573879 | + | 0.818940i | \(0.694562\pi\) | |||||||
\(572\) | −0.368241 | − | 0.308991i | −0.0153969 | − | 0.0129196i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.4726 | + | 3.81170i | 0.437116 | + | 0.159097i | ||||
\(575\) | −14.2579 | − | 24.6954i | −0.594595 | − | 1.02987i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.90286 | + | 10.2240i | −0.245739 | + | 0.425633i | −0.962339 | − | 0.271852i | \(-0.912364\pi\) |
0.716600 | + | 0.697484i | \(0.245697\pi\) | |||||||
\(578\) | 5.38919 | − | 4.52206i | 0.224161 | − | 0.188093i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.55051 | + | 31.4785i | −0.230472 | + | 1.30707i | ||||
\(581\) | 3.21554 | − | 18.2362i | 0.133403 | − | 0.756566i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.174744 | − | 0.146628i | 0.00723716 | − | 0.00607269i | ||||
\(584\) | −12.3148 | + | 21.3299i | −0.509590 | + | 0.882636i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.6763 | + | 18.4920i | 0.441035 | + | 0.763896i | ||||
\(587\) | 37.5514 | + | 13.6676i | 1.54991 | + | 0.564123i | 0.968397 | − | 0.249412i | \(-0.0802374\pi\) |
0.581516 | + | 0.813535i | \(0.302460\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −14.2836 | − | 11.9854i | −0.588545 | − | 0.493848i | ||||
\(590\) | −16.4153 | + | 5.97470i | −0.675809 | + | 0.245974i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.0482857 | + | 0.273842i | 0.00198453 | + | 0.0112548i | ||||
\(593\) | −29.2995 | −1.20319 | −0.601594 | − | 0.798802i | \(-0.705467\pi\) | ||||
−0.601594 | + | 0.798802i | \(0.705467\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −25.4270 | −1.04240 | ||||||||
\(596\) | 0.270792 | + | 1.53574i | 0.0110921 | + | 0.0629063i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.65435 | − | 2.05802i | 0.231224 | − | 0.0841585i | ||||
\(599\) | 7.71554 | + | 6.47410i | 0.315248 | + | 0.264525i | 0.786657 | − | 0.617390i | \(-0.211810\pi\) |
−0.471409 | + | 0.881915i | \(0.656254\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 28.5847 | + | 10.4040i | 1.16599 | + | 0.424387i | 0.851235 | − | 0.524784i | \(-0.175854\pi\) |
0.314759 | + | 0.949172i | \(0.398076\pi\) | |||||||
\(602\) | 5.98158 | + | 10.3604i | 0.243791 | + | 0.422259i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.81908 | − | 8.34689i | 0.196085 | − | 0.339630i | ||||
\(605\) | −32.6111 | + | 27.3640i | −1.32583 | + | 1.11250i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.00681 | + | 22.7237i | −0.162631 | + | 0.922328i | 0.788842 | + | 0.614596i | \(0.210681\pi\) |
−0.951473 | + | 0.307732i | \(0.900430\pi\) | |||||||
\(608\) | −3.52094 | + | 19.9683i | −0.142793 | + | 0.809820i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.88120 | − | 8.29131i | 0.400078 | − | 0.335705i | ||||
\(611\) | −8.91875 | + | 15.4477i | −0.360814 | + | 0.624948i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.382789 | − | 0.663010i | −0.0154607 | − | 0.0267787i | 0.858192 | − | 0.513330i | \(-0.171588\pi\) |
−0.873652 | + | 0.486551i | \(0.838255\pi\) | |||||||
\(614\) | −13.3447 | − | 4.85706i | −0.538547 | − | 0.196015i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.771726 | − | 0.647555i | −0.0310937 | − | 0.0260907i | ||||
\(617\) | 8.72803 | − | 3.17674i | 0.351377 | − | 0.127891i | −0.160301 | − | 0.987068i | \(-0.551246\pi\) |
0.511678 | + | 0.859177i | \(0.329024\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.09199 | − | 34.5494i | −0.244858 | − | 1.38866i | −0.820823 | − | 0.571182i | \(-0.806485\pi\) |
0.575966 | − | 0.817474i | \(-0.304626\pi\) | |||||||
\(620\) | 24.6732 | 0.990901 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −16.4534 | −0.659720 | ||||||||
\(623\) | −2.92959 | − | 16.6145i | −0.117371 | − | 0.665647i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.1942 | + | 8.80596i | −0.967767 | + | 0.352238i | ||||
\(626\) | −1.86824 | − | 1.56764i | −0.0746699 | − | 0.0626555i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.2386 | − | 5.18243i | −0.568182 | − | 0.206801i | ||||
\(629\) | 9.95723 | + | 17.2464i | 0.397021 | + | 0.687660i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.8810 | + | 30.9709i | −0.711833 | + | 1.23293i | 0.252336 | + | 0.967640i | \(0.418801\pi\) |
−0.964168 | + | 0.265291i | \(0.914532\pi\) | |||||||
\(632\) | −2.75743 | + | 2.31376i | −0.109685 | + | 0.0920362i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.66964 | + | 15.1403i | −0.106025 | + | 0.601296i | ||||
\(635\) | 0.0282185 | − | 0.160035i | 0.00111982 | − | 0.00635080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.11334 | + | 3.45150i | −0.162976 | + | 0.136754i | ||||
\(638\) | 0.479933 | − | 0.831268i | 0.0190007 | − | 0.0329102i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.2724 | − | 22.9885i | −0.524639 | − | 0.908702i | ||||
\(641\) | −2.74985 | − | 1.00086i | −0.108612 | − | 0.0395317i | 0.287142 | − | 0.957888i | \(-0.407295\pi\) |
−0.395755 | + | 0.918356i | \(0.629517\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.5137 | − | 13.0175i | −0.611799 | − | 0.513361i | 0.283414 | − | 0.958998i | \(-0.408533\pi\) |
−0.895214 | + | 0.445637i | \(0.852977\pi\) | |||||||
\(644\) | −7.14600 | + | 2.60093i | −0.281592 | + | 0.102491i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.64749 | − | 9.34337i | −0.0648196 | − | 0.367610i | ||||
\(647\) | 10.7219 | 0.421523 | 0.210761 | − | 0.977538i | \(-0.432406\pi\) | ||||
0.210761 | + | 0.977538i | \(0.432406\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.832119 | −0.0326635 | ||||||||
\(650\) | −3.70068 | − | 20.9876i | −0.145153 | − | 0.823202i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.8461 | + | 5.76751i | −0.620582 | + | 0.225873i | ||||
\(653\) | 27.3685 | + | 22.9649i | 1.07101 | + | 0.898685i | 0.995144 | − | 0.0984334i | \(-0.0313831\pi\) |
0.0758669 | + | 0.997118i | \(0.475828\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −66.8872 | − | 24.3449i | −2.61350 | − | 0.951236i | ||||
\(656\) | −0.121492 | − | 0.210430i | −0.00474347 | − | 0.00821593i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.10576 | + | 12.3075i | −0.277011 | + | 0.479798i | ||||
\(659\) | 23.6446 | − | 19.8401i | 0.921061 | − | 0.772862i | −0.0531299 | − | 0.998588i | \(-0.516920\pi\) |
0.974191 | + | 0.225726i | \(0.0724753\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.71007 | + | 9.69831i | −0.0665142 | + | 0.377221i | 0.933321 | + | 0.359044i | \(0.116897\pi\) |
−0.999835 | + | 0.0181766i | \(0.994214\pi\) | |||||||
\(662\) | 4.95666 | − | 28.1106i | 0.192646 | − | 1.09255i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −18.4231 | + | 15.4588i | −0.714954 | + | 0.599918i | ||||
\(665\) | 15.2404 | − | 26.3971i | 0.590996 | − | 1.02363i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.52956 | − | 16.5057i | −0.368986 | − | 0.639103i | ||||
\(668\) | −4.28446 | − | 1.55942i | −0.165771 | − | 0.0603357i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.3268 | + | 12.8607i | 0.592127 | + | 0.496853i | ||||
\(671\) | 0.577382 | − | 0.210150i | 0.0222896 | − | 0.00811274i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.42040 | − | 19.3980i | −0.131847 | − | 0.747739i | −0.977004 | − | 0.213222i | \(-0.931604\pi\) |
0.845157 | − | 0.534518i | \(-0.179507\pi\) | |||||||
\(674\) | −7.28642 | −0.280662 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.81345 | 0.338979 | ||||||||
\(677\) | −4.94150 | − | 28.0247i | −0.189917 | − | 1.07708i | −0.919473 | − | 0.393153i | \(-0.871384\pi\) |
0.729555 | − | 0.683922i | \(-0.239727\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.02064 | + | 2.91927i | −0.307804 | + | 0.112031i | ||||
\(680\) | 25.2973 | + | 21.2269i | 0.970105 | + | 0.814015i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.696242 | − | 0.253411i | −0.0266605 | − | 0.00970362i | ||||
\(683\) | −6.25537 | − | 10.8346i | −0.239355 | − | 0.414575i | 0.721174 | − | 0.692754i | \(-0.243603\pi\) |
−0.960529 | + | 0.278179i | \(0.910269\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −27.7631 | + | 48.0871i | −1.06077 | + | 1.83731i | ||||
\(686\) | −13.5797 | + | 11.3947i | −0.518474 | + | 0.435051i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.0452926 | − | 0.256867i | 0.00172677 | − | 0.00979297i | ||||
\(689\) | 0.587811 | − | 3.33364i | 0.0223938 | − | 0.127002i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 32.6530 | − | 27.3991i | 1.24218 | − | 1.04231i | 0.244828 | − | 0.969566i | \(-0.421268\pi\) |
0.997351 | − | 0.0727455i | \(-0.0231761\pi\) | |||||||
\(692\) | −0.956462 | + | 1.65664i | −0.0363592 | + | 0.0629760i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.57919 | + | 11.3955i | 0.249743 | + | 0.432567i | ||||
\(695\) | −38.2597 | − | 13.9254i | −1.45127 | − | 0.528220i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.3307 | − | 11.1858i | −0.504936 | − | 0.423691i | ||||
\(698\) | 27.8033 | − | 10.1196i | 1.05237 | − | 0.383032i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.67695 | + | 26.5243i | 0.176772 | + | 1.00252i | ||||
\(701\) | 51.7701 | 1.95533 | 0.977665 | − | 0.210167i | \(-0.0674008\pi\) | ||||
0.977665 | + | 0.210167i | \(0.0674008\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.8726 | −0.900371 | ||||||||
\(704\) | 0.142275 | + | 0.806879i | 0.00536217 | + | 0.0304104i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.0181 | + | 4.73821i | −0.489943 | + | 0.178325i | ||||
\(707\) | 13.5797 | + | 11.3947i | 0.510716 | + | 0.428541i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.2442 | − | 5.18447i | −0.534953 | − | 0.194707i | 0.0603955 | − | 0.998175i | \(-0.480764\pi\) |
−0.595349 | + | 0.803468i | \(0.702986\pi\) | |||||||
\(710\) | −26.1288 | − | 45.2564i | −0.980597 | − | 1.69844i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.9555 | + | 18.9754i | −0.410574 | + | 0.711135i | ||||
\(713\) | −11.2699 | + | 9.45658i | −0.422062 | + | 0.354152i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.263985 | − | 1.49713i | 0.00987248 | − | 0.0559896i | ||||
\(716\) | 2.59714 | − | 14.7291i | 0.0970598 | − | 0.550454i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.2103 | + | 10.2457i | −0.455685 | + | 0.382365i | ||||
\(719\) | 1.30747 | − | 2.26460i | 0.0487603 | − | 0.0844553i | −0.840615 | − | 0.541633i | \(-0.817806\pi\) |
0.889375 | + | 0.457178i | \(0.151140\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.3687 | + | 35.2796i | 0.758570 | + | 1.31388i | ||||
\(722\) | −5.01337 | − | 1.82472i | −0.186578 | − | 0.0679089i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 15.8550 | + | 13.3040i | 0.589248 | + | 0.494438i | ||||
\(725\) | −63.4313 | + | 23.0871i | −2.35578 | + | 0.857433i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.711829 | − | 4.03698i | −0.0264003 | − | 0.149723i | 0.968758 | − | 0.248007i | \(-0.0797757\pi\) |
−0.995158 | + | 0.0982840i | \(0.968665\pi\) | |||||||
\(728\) | −14.9495 | −0.554067 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −29.6117 | −1.09598 | ||||||||
\(731\) | −3.24376 | − | 18.3963i | −0.119975 | − | 0.680410i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 35.9038 | − | 13.0679i | 1.32614 | − | 0.482674i | 0.420717 | − | 0.907192i | \(-0.361779\pi\) |
0.905420 | + | 0.424518i | \(0.139556\pi\) | |||||||
\(734\) | 12.8956 | + | 10.8207i | 0.475985 | + | 0.399399i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.0334 | + | 5.47172i | 0.554140 | + | 0.201690i | ||||
\(737\) | 0.476529 | + | 0.825373i | 0.0175532 | + | 0.0304030i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.1047 | − | 20.9660i | 0.445279 | − | 0.771247i | −0.552792 | − | 0.833319i | \(-0.686438\pi\) |
0.998072 | + | 0.0620725i | \(0.0197710\pi\) | |||||||
\(740\) | 24.1989 | − | 20.3053i | 0.889570 | − | 0.746438i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.468322 | − | 2.65598i | 0.0171926 | − | 0.0975042i | ||||
\(743\) | −0.575017 | + | 3.26109i | −0.0210953 | + | 0.119638i | −0.993537 | − | 0.113509i | \(-0.963791\pi\) |
0.972442 | + | 0.233146i | \(0.0749021\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.77790 | + | 3.17004i | −0.138412 | + | 0.116141i | ||||
\(746\) | −6.70527 | + | 11.6139i | −0.245497 | + | 0.425214i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.299011 | + | 0.517902i | 0.0109329 | + | 0.0189364i | ||||
\(749\) | 15.5954 | + | 5.67626i | 0.569843 | + | 0.207406i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.5032 | + | 8.81327i | 0.383269 | + | 0.321601i | 0.813984 | − | 0.580887i | \(-0.197294\pi\) |
−0.430715 | + | 0.902488i | \(0.641739\pi\) | |||||||
\(752\) | 0.291164 | − | 0.105975i | 0.0106177 | − | 0.00386451i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.47343 | − | 14.0275i | −0.0900770 | − | 0.510852i | ||||
\(755\) | 30.4807 | 1.10931 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.3833 | 0.450079 | 0.225040 | − | 0.974350i | \(-0.427749\pi\) | ||||
0.225040 | + | 0.974350i | \(0.427749\pi\) | |||||||
\(758\) | −1.50376 | − | 8.52827i | −0.0546192 | − | 0.309761i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −37.1994 | + | 13.5395i | −1.34936 | + | 0.491128i | ||||
\(761\) | 5.80865 | + | 4.87404i | 0.210563 | + | 0.176684i | 0.741970 | − | 0.670433i | \(-0.233892\pi\) |
−0.531406 | + | 0.847117i | \(0.678336\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −32.1057 | − | 11.6855i | −1.16230 | − | 0.423044i | ||||
\(764\) | −10.7185 | − | 18.5650i | −0.387783 | − | 0.671660i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.4829 | − | 21.6211i | 0.451026 | − | 0.781201i | ||||
\(767\) | −9.45929 | + | 7.93729i | −0.341555 | + | 0.286599i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.558659 | − | 3.16831i | 0.0201457 | − | 0.114252i | −0.973077 | − | 0.230482i | \(-0.925970\pi\) |
0.993222 | + | 0.116230i | \(0.0370809\pi\) | |||||||
\(770\) | 0.210323 | − | 1.19280i | 0.00757950 | − | 0.0429855i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.87211 | − | 1.57089i | 0.0673788 | − | 0.0565375i | ||||
\(773\) | 0.0922341 | − | 0.159754i | 0.00331743 | − | 0.00574596i | −0.864362 | − | 0.502870i | \(-0.832277\pi\) |
0.867679 | + | 0.497124i | \(0.165611\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 26.0526 | + | 45.1245i | 0.935838 | + | 1.62092i | ||||
\(776\) | 10.4168 | + | 3.79140i | 0.373941 | + | 0.136103i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.33228 | − | 6.15251i | −0.262875 | − |