Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(316,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.316");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.j (of order \(6\), degree \(2\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.1731891456.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 9x^{6} + 65x^{4} - 144x^{2} + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 361.3 | ||
Root | \(1.35234 - 0.780776i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.361 |
Dual form | 507.2.j.g.316.3 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35234 | − | 0.780776i | 0.956252 | − | 0.552092i | 0.0612344 | − | 0.998123i | \(-0.480496\pi\) |
0.895017 | + | 0.446031i | \(0.147163\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.219224 | − | 0.379706i | 0.109612 | − | 0.189853i | ||||
\(5\) | 3.56155i | 1.59277i | 0.604787 | + | 0.796387i | \(0.293258\pi\) | ||||
−0.604787 | + | 0.796387i | \(0.706742\pi\) | |||||||
\(6\) | −1.35234 | − | 0.780776i | −0.552092 | − | 0.318751i | ||||
\(7\) | −0.486319 | − | 0.280776i | −0.183811 | − | 0.106124i | 0.405271 | − | 0.914197i | \(-0.367177\pi\) |
−0.589082 | + | 0.808073i | \(0.700511\pi\) | |||||||
\(8\) | 2.43845i | 0.862121i | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 2.78078 | + | 4.81645i | 0.879359 | + | 1.52309i | ||||
\(11\) | −1.73205 | + | 1.00000i | −0.522233 | + | 0.301511i | −0.737848 | − | 0.674967i | \(-0.764158\pi\) |
0.215615 | + | 0.976478i | \(0.430824\pi\) | |||||||
\(12\) | −0.438447 | −0.126569 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −0.876894 | −0.234360 | ||||||||
\(15\) | 3.08440 | − | 1.78078i | 0.796387 | − | 0.459794i | ||||
\(16\) | 2.34233 | + | 4.05703i | 0.585582 | + | 1.01426i | ||||
\(17\) | −0.780776 | + | 1.35234i | −0.189366 | + | 0.327992i | −0.945039 | − | 0.326957i | \(-0.893977\pi\) |
0.755673 | + | 0.654949i | \(0.227310\pi\) | |||||||
\(18\) | 1.56155i | 0.368062i | ||||||||
\(19\) | 6.16879 | + | 3.56155i | 1.41522 | + | 0.817076i | 0.995874 | − | 0.0907512i | \(-0.0289268\pi\) |
0.419344 | + | 0.907827i | \(0.362260\pi\) | |||||||
\(20\) | 1.35234 | + | 0.780776i | 0.302393 | + | 0.174587i | ||||
\(21\) | 0.561553i | 0.122541i | ||||||||
\(22\) | −1.56155 | + | 2.70469i | −0.332924 | + | 0.576642i | ||||
\(23\) | 1.00000 | + | 1.73205i | 0.208514 | + | 0.361158i | 0.951247 | − | 0.308431i | \(-0.0998038\pi\) |
−0.742732 | + | 0.669588i | \(0.766471\pi\) | |||||||
\(24\) | 2.11176 | − | 1.21922i | 0.431061 | − | 0.248873i | ||||
\(25\) | −7.68466 | −1.53693 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −0.213225 | + | 0.123106i | −0.0402958 | + | 0.0232648i | ||||
\(29\) | −3.34233 | − | 5.78908i | −0.620655 | − | 1.07501i | −0.989364 | − | 0.145461i | \(-0.953533\pi\) |
0.368709 | − | 0.929545i | \(-0.379800\pi\) | |||||||
\(30\) | 2.78078 | − | 4.81645i | 0.507698 | − | 0.879359i | ||||
\(31\) | − | 2.56155i | − | 0.460068i | −0.973183 | − | 0.230034i | \(-0.926116\pi\) | ||
0.973183 | − | 0.230034i | \(-0.0738838\pi\) | |||||||
\(32\) | 2.11176 | + | 1.21922i | 0.373309 | + | 0.215530i | ||||
\(33\) | 1.73205 | + | 1.00000i | 0.301511 | + | 0.174078i | ||||
\(34\) | 2.43845i | 0.418190i | ||||||||
\(35\) | 1.00000 | − | 1.73205i | 0.169031 | − | 0.292770i | ||||
\(36\) | 0.219224 | + | 0.379706i | 0.0365373 | + | 0.0632844i | ||||
\(37\) | 6.54850 | − | 3.78078i | 1.07657 | − | 0.621556i | 0.146598 | − | 0.989196i | \(-0.453168\pi\) |
0.929968 | + | 0.367640i | \(0.119834\pi\) | |||||||
\(38\) | 11.1231 | 1.80441 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −8.68466 | −1.37317 | ||||||||
\(41\) | 1.35234 | − | 0.780776i | 0.211201 | − | 0.121937i | −0.390669 | − | 0.920531i | \(-0.627756\pi\) |
0.601869 | + | 0.798595i | \(0.294423\pi\) | |||||||
\(42\) | 0.438447 | + | 0.759413i | 0.0676539 | + | 0.117180i | ||||
\(43\) | 2.28078 | − | 3.95042i | 0.347815 | − | 0.602433i | −0.638046 | − | 0.769998i | \(-0.720257\pi\) |
0.985861 | + | 0.167565i | \(0.0535903\pi\) | |||||||
\(44\) | 0.876894i | 0.132197i | ||||||||
\(45\) | −3.08440 | − | 1.78078i | −0.459794 | − | 0.265462i | ||||
\(46\) | 2.70469 | + | 1.56155i | 0.398785 | + | 0.230238i | ||||
\(47\) | 8.24621i | 1.20283i | 0.798935 | + | 0.601417i | \(0.205397\pi\) | ||||
−0.798935 | + | 0.601417i | \(0.794603\pi\) | |||||||
\(48\) | 2.34233 | − | 4.05703i | 0.338086 | − | 0.585582i | ||||
\(49\) | −3.34233 | − | 5.78908i | −0.477476 | − | 0.827012i | ||||
\(50\) | −10.3923 | + | 6.00000i | −1.46969 | + | 0.848528i | ||||
\(51\) | 1.56155 | 0.218661 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.684658 | −0.0940451 | −0.0470225 | − | 0.998894i | \(-0.514973\pi\) | ||||
−0.0470225 | + | 0.998894i | \(0.514973\pi\) | |||||||
\(54\) | 1.35234 | − | 0.780776i | 0.184031 | − | 0.106250i | ||||
\(55\) | −3.56155 | − | 6.16879i | −0.480240 | − | 0.831800i | ||||
\(56\) | 0.684658 | − | 1.18586i | 0.0914913 | − | 0.158468i | ||||
\(57\) | − | 7.12311i | − | 0.943478i | ||||||
\(58\) | −9.03996 | − | 5.21922i | −1.18700 | − | 0.685318i | ||||
\(59\) | 2.49146 | + | 1.43845i | 0.324361 | + | 0.187270i | 0.653335 | − | 0.757069i | \(-0.273369\pi\) |
−0.328974 | + | 0.944339i | \(0.606703\pi\) | |||||||
\(60\) | − | 1.56155i | − | 0.201596i | ||||||
\(61\) | −1.93845 | + | 3.35749i | −0.248193 | + | 0.429882i | −0.963024 | − | 0.269414i | \(-0.913170\pi\) |
0.714832 | + | 0.699297i | \(0.246503\pi\) | |||||||
\(62\) | −2.00000 | − | 3.46410i | −0.254000 | − | 0.439941i | ||||
\(63\) | 0.486319 | − | 0.280776i | 0.0612704 | − | 0.0353745i | ||||
\(64\) | −5.56155 | −0.695194 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 3.12311 | 0.384428 | ||||||||
\(67\) | −3.95042 | + | 2.28078i | −0.482621 | + | 0.278641i | −0.721508 | − | 0.692406i | \(-0.756551\pi\) |
0.238887 | + | 0.971047i | \(0.423217\pi\) | |||||||
\(68\) | 0.342329 | + | 0.592932i | 0.0415135 | + | 0.0719035i | ||||
\(69\) | 1.00000 | − | 1.73205i | 0.120386 | − | 0.208514i | ||||
\(70\) | − | 3.12311i | − | 0.373283i | ||||||
\(71\) | 12.1244 | + | 7.00000i | 1.43890 | + | 0.830747i | 0.997773 | − | 0.0666994i | \(-0.0212469\pi\) |
0.441123 | + | 0.897447i | \(0.354580\pi\) | |||||||
\(72\) | −2.11176 | − | 1.21922i | −0.248873 | − | 0.143687i | ||||
\(73\) | − | 10.1231i | − | 1.18482i | −0.805637 | − | 0.592410i | \(-0.798177\pi\) | ||
0.805637 | − | 0.592410i | \(-0.201823\pi\) | |||||||
\(74\) | 5.90388 | − | 10.2258i | 0.686312 | − | 1.18873i | ||||
\(75\) | 3.84233 | + | 6.65511i | 0.443674 | + | 0.768466i | ||||
\(76\) | 2.70469 | − | 1.56155i | 0.310249 | − | 0.179122i | ||||
\(77\) | 1.12311 | 0.127990 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.43845 | 0.611873 | 0.305937 | − | 0.952052i | \(-0.401030\pi\) | ||||
0.305937 | + | 0.952052i | \(0.401030\pi\) | |||||||
\(80\) | −14.4493 | + | 8.34233i | −1.61549 | + | 0.932701i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 1.21922 | − | 2.11176i | 0.134641 | − | 0.233205i | ||||
\(83\) | 0.876894i | 0.0962517i | 0.998841 | + | 0.0481258i | \(0.0153248\pi\) | ||||
−0.998841 | + | 0.0481258i | \(0.984675\pi\) | |||||||
\(84\) | 0.213225 | + | 0.123106i | 0.0232648 | + | 0.0134319i | ||||
\(85\) | −4.81645 | − | 2.78078i | −0.522417 | − | 0.301618i | ||||
\(86\) | − | 7.12311i | − | 0.768104i | ||||||
\(87\) | −3.34233 | + | 5.78908i | −0.358335 | + | 0.620655i | ||||
\(88\) | −2.43845 | − | 4.22351i | −0.259939 | − | 0.450228i | ||||
\(89\) | 4.22351 | − | 2.43845i | 0.447692 | − | 0.258475i | −0.259163 | − | 0.965834i | \(-0.583447\pi\) |
0.706855 | + | 0.707359i | \(0.250113\pi\) | |||||||
\(90\) | −5.56155 | −0.586239 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.876894 | 0.0914226 | ||||||||
\(93\) | −2.21837 | + | 1.28078i | −0.230034 | + | 0.132810i | ||||
\(94\) | 6.43845 | + | 11.1517i | 0.664075 | + | 1.15021i | ||||
\(95\) | −12.6847 | + | 21.9705i | −1.30142 | + | 2.25412i | ||||
\(96\) | − | 2.43845i | − | 0.248873i | ||||||
\(97\) | −7.41452 | − | 4.28078i | −0.752831 | − | 0.434647i | 0.0738851 | − | 0.997267i | \(-0.476460\pi\) |
−0.826716 | + | 0.562620i | \(0.809794\pi\) | |||||||
\(98\) | −9.03996 | − | 5.21922i | −0.913174 | − | 0.527221i | ||||
\(99\) | − | 2.00000i | − | 0.201008i | ||||||
\(100\) | −1.68466 | + | 2.91791i | −0.168466 | + | 0.291791i | ||||
\(101\) | −3.78078 | − | 6.54850i | −0.376201 | − | 0.651600i | 0.614305 | − | 0.789069i | \(-0.289437\pi\) |
−0.990506 | + | 0.137469i | \(0.956103\pi\) | |||||||
\(102\) | 2.11176 | − | 1.21922i | 0.209095 | − | 0.120721i | ||||
\(103\) | 3.43845 | 0.338800 | 0.169400 | − | 0.985547i | \(-0.445817\pi\) | ||||
0.169400 | + | 0.985547i | \(0.445817\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.00000 | −0.195180 | ||||||||
\(106\) | −0.925894 | + | 0.534565i | −0.0899308 | + | 0.0519216i | ||||
\(107\) | 4.12311 | + | 7.14143i | 0.398596 | + | 0.690388i | 0.993553 | − | 0.113369i | \(-0.0361644\pi\) |
−0.594957 | + | 0.803757i | \(0.702831\pi\) | |||||||
\(108\) | 0.219224 | − | 0.379706i | 0.0210948 | − | 0.0365373i | ||||
\(109\) | 2.80776i | 0.268935i | 0.990918 | + | 0.134468i | \(0.0429324\pi\) | ||||
−0.990918 | + | 0.134468i | \(0.957068\pi\) | |||||||
\(110\) | −9.63289 | − | 5.56155i | −0.918460 | − | 0.530273i | ||||
\(111\) | −6.54850 | − | 3.78078i | −0.621556 | − | 0.358855i | ||||
\(112\) | − | 2.63068i | − | 0.248576i | ||||||
\(113\) | −2.90388 | + | 5.02967i | −0.273174 | + | 0.473152i | −0.969673 | − | 0.244406i | \(-0.921407\pi\) |
0.696499 | + | 0.717558i | \(0.254740\pi\) | |||||||
\(114\) | −5.56155 | − | 9.63289i | −0.520887 | − | 0.902203i | ||||
\(115\) | −6.16879 | + | 3.56155i | −0.575243 | + | 0.332117i | ||||
\(116\) | −2.93087 | −0.272124 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.49242 | 0.413561 | ||||||||
\(119\) | 0.759413 | − | 0.438447i | 0.0696153 | − | 0.0401924i | ||||
\(120\) | 4.34233 | + | 7.52113i | 0.396399 | + | 0.686583i | ||||
\(121\) | −3.50000 | + | 6.06218i | −0.318182 | + | 0.551107i | ||||
\(122\) | 6.05398i | 0.548101i | ||||||||
\(123\) | −1.35234 | − | 0.780776i | −0.121937 | − | 0.0704002i | ||||
\(124\) | −0.972638 | − | 0.561553i | −0.0873455 | − | 0.0504289i | ||||
\(125\) | − | 9.56155i | − | 0.855211i | ||||||
\(126\) | 0.438447 | − | 0.759413i | 0.0390600 | − | 0.0676539i | ||||
\(127\) | 2.71922 | + | 4.70983i | 0.241292 | + | 0.417930i | 0.961083 | − | 0.276261i | \(-0.0890955\pi\) |
−0.719791 | + | 0.694191i | \(0.755762\pi\) | |||||||
\(128\) | −11.7446 | + | 6.78078i | −1.03809 | + | 0.599342i | ||||
\(129\) | −4.56155 | −0.401622 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.36932 | 0.643860 | 0.321930 | − | 0.946763i | \(-0.395668\pi\) | ||||
0.321930 | + | 0.946763i | \(0.395668\pi\) | |||||||
\(132\) | 0.759413 | − | 0.438447i | 0.0660984 | − | 0.0381619i | ||||
\(133\) | −2.00000 | − | 3.46410i | −0.173422 | − | 0.300376i | ||||
\(134\) | −3.56155 | + | 6.16879i | −0.307671 | + | 0.532902i | ||||
\(135\) | 3.56155i | 0.306530i | ||||||||
\(136\) | −3.29762 | − | 1.90388i | −0.282769 | − | 0.163257i | ||||
\(137\) | 4.81645 | + | 2.78078i | 0.411497 | + | 0.237578i | 0.691433 | − | 0.722441i | \(-0.256980\pi\) |
−0.279936 | + | 0.960019i | \(0.590313\pi\) | |||||||
\(138\) | − | 3.12311i | − | 0.265856i | ||||||
\(139\) | 8.96543 | − | 15.5286i | 0.760438 | − | 1.31712i | −0.182187 | − | 0.983264i | \(-0.558318\pi\) |
0.942625 | − | 0.333854i | \(-0.108349\pi\) | |||||||
\(140\) | −0.438447 | − | 0.759413i | −0.0370556 | − | 0.0641821i | ||||
\(141\) | 7.14143 | − | 4.12311i | 0.601417 | − | 0.347228i | ||||
\(142\) | 21.8617 | 1.83460 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −4.68466 | −0.390388 | ||||||||
\(145\) | 20.6181 | − | 11.9039i | 1.71224 | − | 0.988564i | ||||
\(146\) | −7.90388 | − | 13.6899i | −0.654130 | − | 1.13299i | ||||
\(147\) | −3.34233 | + | 5.78908i | −0.275671 | + | 0.477476i | ||||
\(148\) | − | 3.31534i | − | 0.272519i | ||||||
\(149\) | −2.11176 | − | 1.21922i | −0.173002 | − | 0.0998827i | 0.410999 | − | 0.911636i | \(-0.365180\pi\) |
−0.584001 | + | 0.811753i | \(0.698513\pi\) | |||||||
\(150\) | 10.3923 | + | 6.00000i | 0.848528 | + | 0.489898i | ||||
\(151\) | − | 9.36932i | − | 0.762464i | −0.924479 | − | 0.381232i | \(-0.875500\pi\) | ||
0.924479 | − | 0.381232i | \(-0.124500\pi\) | |||||||
\(152\) | −8.68466 | + | 15.0423i | −0.704419 | + | 1.22009i | ||||
\(153\) | −0.780776 | − | 1.35234i | −0.0631220 | − | 0.109331i | ||||
\(154\) | 1.51883 | − | 0.876894i | 0.122390 | − | 0.0706622i | ||||
\(155\) | 9.12311 | 0.732785 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.3693 | 1.62565 | 0.812824 | − | 0.582509i | \(-0.197929\pi\) | ||||
0.812824 | + | 0.582509i | \(0.197929\pi\) | |||||||
\(158\) | 7.35465 | − | 4.24621i | 0.585105 | − | 0.337810i | ||||
\(159\) | 0.342329 | + | 0.592932i | 0.0271485 | + | 0.0470225i | ||||
\(160\) | −4.34233 | + | 7.52113i | −0.343291 | + | 0.594598i | ||||
\(161\) | − | 1.12311i | − | 0.0885131i | ||||||
\(162\) | −1.35234 | − | 0.780776i | −0.106250 | − | 0.0613436i | ||||
\(163\) | 4.16365 | + | 2.40388i | 0.326122 | + | 0.188287i | 0.654118 | − | 0.756393i | \(-0.273040\pi\) |
−0.327996 | + | 0.944679i | \(0.606373\pi\) | |||||||
\(164\) | − | 0.684658i | − | 0.0534628i | ||||||
\(165\) | −3.56155 | + | 6.16879i | −0.277267 | + | 0.480240i | ||||
\(166\) | 0.684658 | + | 1.18586i | 0.0531398 | + | 0.0920408i | ||||
\(167\) | 8.87348 | − | 5.12311i | 0.686650 | − | 0.396438i | −0.115706 | − | 0.993284i | \(-0.536913\pi\) |
0.802356 | + | 0.596846i | \(0.203580\pi\) | |||||||
\(168\) | −1.36932 | −0.105645 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −8.68466 | −0.666083 | ||||||||
\(171\) | −6.16879 | + | 3.56155i | −0.471739 | + | 0.272359i | ||||
\(172\) | −1.00000 | − | 1.73205i | −0.0762493 | − | 0.132068i | ||||
\(173\) | 10.1231 | − | 17.5337i | 0.769645 | − | 1.33307i | −0.168110 | − | 0.985768i | \(-0.553766\pi\) |
0.937755 | − | 0.347297i | \(-0.112900\pi\) | |||||||
\(174\) | 10.4384i | 0.791337i | ||||||||
\(175\) | 3.73720 | + | 2.15767i | 0.282505 | + | 0.163105i | ||||
\(176\) | −8.11407 | − | 4.68466i | −0.611621 | − | 0.353119i | ||||
\(177\) | − | 2.87689i | − | 0.216241i | ||||||
\(178\) | 3.80776 | − | 6.59524i | 0.285404 | − | 0.494334i | ||||
\(179\) | −2.43845 | − | 4.22351i | −0.182258 | − | 0.315680i | 0.760391 | − | 0.649466i | \(-0.225007\pi\) |
−0.942649 | + | 0.333785i | \(0.891674\pi\) | |||||||
\(180\) | −1.35234 | + | 0.780776i | −0.100798 | + | 0.0581956i | ||||
\(181\) | 2.68466 | 0.199549 | 0.0997745 | − | 0.995010i | \(-0.468188\pi\) | ||||
0.0997745 | + | 0.995010i | \(0.468188\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.87689 | 0.286588 | ||||||||
\(184\) | −4.22351 | + | 2.43845i | −0.311362 | + | 0.179765i | ||||
\(185\) | 13.4654 | + | 23.3228i | 0.989998 | + | 1.71473i | ||||
\(186\) | −2.00000 | + | 3.46410i | −0.146647 | + | 0.254000i | ||||
\(187\) | − | 3.12311i | − | 0.228384i | ||||||
\(188\) | 3.13114 | + | 1.80776i | 0.228362 | + | 0.131845i | ||||
\(189\) | −0.486319 | − | 0.280776i | −0.0353745 | − | 0.0204235i | ||||
\(190\) | 39.6155i | 2.87401i | ||||||||
\(191\) | 4.56155 | − | 7.90084i | 0.330062 | − | 0.571685i | −0.652461 | − | 0.757822i | \(-0.726264\pi\) |
0.982524 | + | 0.186137i | \(0.0595969\pi\) | |||||||
\(192\) | 2.78078 | + | 4.81645i | 0.200685 | + | 0.347597i | ||||
\(193\) | −11.6848 | + | 6.74621i | −0.841089 | + | 0.485603i | −0.857634 | − | 0.514260i | \(-0.828067\pi\) |
0.0165453 | + | 0.999863i | \(0.494733\pi\) | |||||||
\(194\) | −13.3693 | −0.959861 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.93087 | −0.209348 | ||||||||
\(197\) | −11.5782 | + | 6.68466i | −0.824910 | + | 0.476262i | −0.852107 | − | 0.523368i | \(-0.824675\pi\) |
0.0271965 | + | 0.999630i | \(0.491342\pi\) | |||||||
\(198\) | −1.56155 | − | 2.70469i | −0.110975 | − | 0.192214i | ||||
\(199\) | 11.0885 | − | 19.2059i | 0.786046 | − | 1.36147i | −0.142327 | − | 0.989820i | \(-0.545458\pi\) |
0.928372 | − | 0.371651i | \(-0.121208\pi\) | |||||||
\(200\) | − | 18.7386i | − | 1.32502i | ||||||
\(201\) | 3.95042 | + | 2.28078i | 0.278641 | + | 0.160874i | ||||
\(202\) | −10.2258 | − | 5.90388i | −0.719486 | − | 0.415396i | ||||
\(203\) | 3.75379i | 0.263464i | ||||||||
\(204\) | 0.342329 | − | 0.592932i | 0.0239678 | − | 0.0415135i | ||||
\(205\) | 2.78078 | + | 4.81645i | 0.194218 | + | 0.336395i | ||||
\(206\) | 4.64996 | − | 2.68466i | 0.323978 | − | 0.187049i | ||||
\(207\) | −2.00000 | −0.139010 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −14.2462 | −0.985431 | ||||||||
\(210\) | −2.70469 | + | 1.56155i | −0.186641 | + | 0.107757i | ||||
\(211\) | −9.84233 | − | 17.0474i | −0.677574 | − | 1.17359i | −0.975709 | − | 0.219069i | \(-0.929698\pi\) |
0.298136 | − | 0.954524i | \(-0.403635\pi\) | |||||||
\(212\) | −0.150093 | + | 0.259969i | −0.0103084 | + | 0.0178548i | ||||
\(213\) | − | 14.0000i | − | 0.959264i | ||||||
\(214\) | 11.1517 | + | 6.43845i | 0.762316 | + | 0.440123i | ||||
\(215\) | 14.0696 | + | 8.12311i | 0.959541 | + | 0.553991i | ||||
\(216\) | 2.43845i | 0.165915i | ||||||||
\(217\) | −0.719224 | + | 1.24573i | −0.0488241 | + | 0.0845658i | ||||
\(218\) | 2.19224 | + | 3.79706i | 0.148477 | + | 0.257170i | ||||
\(219\) | −8.76687 | + | 5.06155i | −0.592410 | + | 0.342028i | ||||
\(220\) | −3.12311 | −0.210560 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −11.8078 | −0.792485 | ||||||||
\(223\) | −6.92820 | + | 4.00000i | −0.463947 | + | 0.267860i | −0.713702 | − | 0.700449i | \(-0.752983\pi\) |
0.249756 | + | 0.968309i | \(0.419650\pi\) | |||||||
\(224\) | −0.684658 | − | 1.18586i | −0.0457457 | − | 0.0792338i | ||||
\(225\) | 3.84233 | − | 6.65511i | 0.256155 | − | 0.443674i | ||||
\(226\) | 9.06913i | 0.603270i | ||||||||
\(227\) | 6.16879 | + | 3.56155i | 0.409437 | + | 0.236389i | 0.690548 | − | 0.723287i | \(-0.257370\pi\) |
−0.281111 | + | 0.959675i | \(0.590703\pi\) | |||||||
\(228\) | −2.70469 | − | 1.56155i | −0.179122 | − | 0.103416i | ||||
\(229\) | − | 16.2462i | − | 1.07358i | −0.843716 | − | 0.536790i | \(-0.819637\pi\) | ||
0.843716 | − | 0.536790i | \(-0.180363\pi\) | |||||||
\(230\) | −5.56155 | + | 9.63289i | −0.366718 | + | 0.635174i | ||||
\(231\) | −0.561553 | − | 0.972638i | −0.0369475 | − | 0.0639949i | ||||
\(232\) | 14.1164 | − | 8.15009i | 0.926785 | − | 0.535080i | ||||
\(233\) | −26.0000 | −1.70332 | −0.851658 | − | 0.524097i | \(-0.824403\pi\) | ||||
−0.851658 | + | 0.524097i | \(0.824403\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −29.3693 | −1.91584 | ||||||||
\(236\) | 1.09238 | − | 0.630683i | 0.0711076 | − | 0.0410540i | ||||
\(237\) | −2.71922 | − | 4.70983i | −0.176633 | − | 0.305937i | ||||
\(238\) | 0.684658 | − | 1.18586i | 0.0443798 | − | 0.0768681i | ||||
\(239\) | 25.3693i | 1.64100i | 0.571643 | + | 0.820502i | \(0.306306\pi\) | ||||
−0.571643 | + | 0.820502i | \(0.693694\pi\) | |||||||
\(240\) | 14.4493 | + | 8.34233i | 0.932701 | + | 0.538495i | ||||
\(241\) | 15.4220 | + | 8.90388i | 0.993417 | + | 0.573549i | 0.906294 | − | 0.422648i | \(-0.138899\pi\) |
0.0871229 | + | 0.996198i | \(0.472233\pi\) | |||||||
\(242\) | 10.9309i | 0.702663i | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0.849907 | + | 1.47208i | 0.0544097 | + | 0.0942404i | ||||
\(245\) | 20.6181 | − | 11.9039i | 1.31724 | − | 0.760511i | ||||
\(246\) | −2.43845 | −0.155470 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 6.24621 | 0.396635 | ||||||||
\(249\) | 0.759413 | − | 0.438447i | 0.0481258 | − | 0.0277855i | ||||
\(250\) | −7.46543 | − | 12.9305i | −0.472156 | − | 0.817797i | ||||
\(251\) | 9.36932 | − | 16.2281i | 0.591386 | − | 1.02431i | −0.402660 | − | 0.915350i | \(-0.631914\pi\) |
0.994046 | − | 0.108961i | \(-0.0347524\pi\) | |||||||
\(252\) | − | 0.246211i | − | 0.0155099i | ||||||
\(253\) | −3.46410 | − | 2.00000i | −0.217786 | − | 0.125739i | ||||
\(254\) | 7.35465 | + | 4.24621i | 0.461472 | + | 0.266431i | ||||
\(255\) | 5.56155i | 0.348278i | ||||||||
\(256\) | −5.02699 | + | 8.70700i | −0.314187 | + | 0.544187i | ||||
\(257\) | 14.5885 | + | 25.2681i | 0.910008 | + | 1.57618i | 0.814050 | + | 0.580795i | \(0.197258\pi\) |
0.0959583 | + | 0.995385i | \(0.469408\pi\) | |||||||
\(258\) | −6.16879 | + | 3.56155i | −0.384052 | + | 0.221733i | ||||
\(259\) | −4.24621 | −0.263847 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.68466 | 0.413770 | ||||||||
\(262\) | 9.96585 | − | 5.75379i | 0.615693 | − | 0.355470i | ||||
\(263\) | −4.68466 | − | 8.11407i | −0.288868 | − | 0.500335i | 0.684672 | − | 0.728852i | \(-0.259946\pi\) |
−0.973540 | + | 0.228517i | \(0.926612\pi\) | |||||||
\(264\) | −2.43845 | + | 4.22351i | −0.150076 | + | 0.259939i | ||||
\(265\) | − | 2.43845i | − | 0.149793i | ||||||
\(266\) | −5.40938 | − | 3.12311i | −0.331670 | − | 0.191490i | ||||
\(267\) | −4.22351 | − | 2.43845i | −0.258475 | − | 0.149231i | ||||
\(268\) | 2.00000i | 0.122169i | ||||||||
\(269\) | 10.6847 | − | 18.5064i | 0.651455 | − | 1.12835i | −0.331315 | − | 0.943520i | \(-0.607492\pi\) |
0.982770 | − | 0.184833i | \(-0.0591745\pi\) | |||||||
\(270\) | 2.78078 | + | 4.81645i | 0.169233 | + | 0.293120i | ||||
\(271\) | −25.9209 | + | 14.9654i | −1.57458 | + | 0.909085i | −0.578986 | + | 0.815337i | \(0.696551\pi\) |
−0.995596 | + | 0.0937481i | \(0.970115\pi\) | |||||||
\(272\) | −7.31534 | −0.443558 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.68466 | 0.524659 | ||||||||
\(275\) | 13.3102 | − | 7.68466i | 0.802636 | − | 0.463402i | ||||
\(276\) | −0.438447 | − | 0.759413i | −0.0263914 | − | 0.0457113i | ||||
\(277\) | 2.65767 | − | 4.60322i | 0.159684 | − | 0.276581i | −0.775071 | − | 0.631874i | \(-0.782286\pi\) |
0.934755 | + | 0.355294i | \(0.115619\pi\) | |||||||
\(278\) | − | 28.0000i | − | 1.67933i | ||||||
\(279\) | 2.21837 | + | 1.28078i | 0.132810 | + | 0.0766781i | ||||
\(280\) | 4.22351 | + | 2.43845i | 0.252403 | + | 0.145725i | ||||
\(281\) | 17.8078i | 1.06232i | 0.847271 | + | 0.531161i | \(0.178244\pi\) | ||||
−0.847271 | + | 0.531161i | \(0.821756\pi\) | |||||||
\(282\) | 6.43845 | − | 11.1517i | 0.383404 | − | 0.664075i | ||||
\(283\) | −6.84233 | − | 11.8513i | −0.406734 | − | 0.704484i | 0.587787 | − | 0.809015i | \(-0.299999\pi\) |
−0.994522 | + | 0.104531i | \(0.966666\pi\) | |||||||
\(284\) | 5.31589 | − | 3.06913i | 0.315440 | − | 0.182119i | ||||
\(285\) | 25.3693 | 1.50275 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.876894 | −0.0517614 | ||||||||
\(288\) | −2.11176 | + | 1.21922i | −0.124436 | + | 0.0718434i | ||||
\(289\) | 7.28078 | + | 12.6107i | 0.428281 | + | 0.741804i | ||||
\(290\) | 18.5885 | − | 32.1963i | 1.09156 | − | 1.89063i | ||||
\(291\) | 8.56155i | 0.501887i | ||||||||
\(292\) | −3.84381 | − | 2.21922i | −0.224942 | − | 0.129870i | ||||
\(293\) | −17.7002 | − | 10.2192i | −1.03406 | − | 0.597013i | −0.115913 | − | 0.993259i | \(-0.536979\pi\) |
−0.918144 | + | 0.396246i | \(0.870313\pi\) | |||||||
\(294\) | 10.4384i | 0.608783i | ||||||||
\(295\) | −5.12311 | + | 8.87348i | −0.298279 | + | 0.516634i | ||||
\(296\) | 9.21922 | + | 15.9682i | 0.535856 | + | 0.928131i | ||||
\(297\) | −1.73205 | + | 1.00000i | −0.100504 | + | 0.0580259i | ||||
\(298\) | −3.80776 | −0.220578 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 3.36932 | 0.194528 | ||||||||
\(301\) | −2.21837 | + | 1.28078i | −0.127865 | + | 0.0738227i | ||||
\(302\) | −7.31534 | − | 12.6705i | −0.420951 | − | 0.729108i | ||||
\(303\) | −3.78078 | + | 6.54850i | −0.217200 | + | 0.376201i | ||||
\(304\) | 33.3693i | 1.91386i | ||||||||
\(305\) | −11.9579 | − | 6.90388i | −0.684706 | − | 0.395315i | ||||
\(306\) | −2.11176 | − | 1.21922i | −0.120721 | − | 0.0696984i | ||||
\(307\) | 30.8078i | 1.75829i | 0.476553 | + | 0.879146i | \(0.341886\pi\) | ||||
−0.476553 | + | 0.879146i | \(0.658114\pi\) | |||||||
\(308\) | 0.246211 | − | 0.426450i | 0.0140292 | − | 0.0242993i | ||||
\(309\) | −1.71922 | − | 2.97778i | −0.0978032 | − | 0.169400i | ||||
\(310\) | 12.3376 | − | 7.12311i | 0.700728 | − | 0.404565i | ||||
\(311\) | 19.1231 | 1.08437 | 0.542186 | − | 0.840259i | \(-0.317597\pi\) | ||||
0.542186 | + | 0.840259i | \(0.317597\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.6847 | −0.773503 | −0.386751 | − | 0.922184i | \(-0.626403\pi\) | ||||
−0.386751 | + | 0.922184i | \(0.626403\pi\) | |||||||
\(314\) | 27.5463 | − | 15.9039i | 1.55453 | − | 0.897508i | ||||
\(315\) | 1.00000 | + | 1.73205i | 0.0563436 | + | 0.0975900i | ||||
\(316\) | 1.19224 | − | 2.06501i | 0.0670685 | − | 0.116166i | ||||
\(317\) | − | 14.0540i | − | 0.789350i | −0.918821 | − | 0.394675i | \(-0.870857\pi\) | ||
0.918821 | − | 0.394675i | \(-0.129143\pi\) | |||||||
\(318\) | 0.925894 | + | 0.534565i | 0.0519216 | + | 0.0299769i | ||||
\(319\) | 11.5782 | + | 6.68466i | 0.648253 | + | 0.374269i | ||||
\(320\) | − | 19.8078i | − | 1.10729i | ||||||
\(321\) | 4.12311 | − | 7.14143i | 0.230129 | − | 0.398596i | ||||
\(322\) | −0.876894 | − | 1.51883i | −0.0488674 | − | 0.0846408i | ||||
\(323\) | −9.63289 | + | 5.56155i | −0.535988 | + | 0.309453i | ||||
\(324\) | −0.438447 | −0.0243582 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 7.50758 | 0.415806 | ||||||||
\(327\) | 2.43160 | − | 1.40388i | 0.134468 | − | 0.0776349i | ||||
\(328\) | 1.90388 | + | 3.29762i | 0.105124 | + | 0.182081i | ||||
\(329\) | 2.31534 | − | 4.01029i | 0.127649 | − | 0.221094i | ||||
\(330\) | 11.1231i | 0.612307i | ||||||||
\(331\) | −2.76456 | − | 1.59612i | −0.151954 | − | 0.0877306i | 0.422095 | − | 0.906552i | \(-0.361295\pi\) |
−0.574049 | + | 0.818821i | \(0.694628\pi\) | |||||||
\(332\) | 0.332962 | + | 0.192236i | 0.0182737 | + | 0.0105503i | ||||
\(333\) | 7.56155i | 0.414371i | ||||||||
\(334\) | 8.00000 | − | 13.8564i | 0.437741 | − | 0.758189i | ||||
\(335\) | −8.12311 | − | 14.0696i | −0.443813 | − | 0.768706i | ||||
\(336\) | −2.27824 | + | 1.31534i | −0.124288 | + | 0.0717578i | ||||
\(337\) | 6.12311 | 0.333547 | 0.166773 | − | 0.985995i | \(-0.446665\pi\) | ||||
0.166773 | + | 0.985995i | \(0.446665\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.80776 | 0.315434 | ||||||||
\(340\) | −2.11176 | + | 1.21922i | −0.114526 | + | 0.0661217i | ||||
\(341\) | 2.56155 | + | 4.43674i | 0.138716 | + | 0.240263i | ||||
\(342\) | −5.56155 | + | 9.63289i | −0.300734 | + | 0.520887i | ||||
\(343\) | 7.68466i | 0.414933i | ||||||||
\(344\) | 9.63289 | + | 5.56155i | 0.519371 | + | 0.299859i | ||||
\(345\) | 6.16879 | + | 3.56155i | 0.332117 | + | 0.191748i | ||||
\(346\) | − | 31.6155i | − | 1.69966i | ||||||
\(347\) | −13.8078 | + | 23.9157i | −0.741240 | + | 1.28386i | 0.210692 | + | 0.977553i | \(0.432428\pi\) |
−0.951931 | + | 0.306312i | \(0.900905\pi\) | |||||||
\(348\) | 1.46543 | + | 2.53821i | 0.0785556 | + | 0.136062i | ||||
\(349\) | 5.89570 | − | 3.40388i | 0.315589 | − | 0.182206i | −0.333836 | − | 0.942631i | \(-0.608343\pi\) |
0.649425 | + | 0.760426i | \(0.275010\pi\) | |||||||
\(350\) | 6.73863 | 0.360195 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.87689 | −0.259939 | ||||||||
\(353\) | −4.60322 | + | 2.65767i | −0.245005 | + | 0.141454i | −0.617475 | − | 0.786591i | \(-0.711844\pi\) |
0.372470 | + | 0.928044i | \(0.378511\pi\) | |||||||
\(354\) | −2.24621 | − | 3.89055i | −0.119385 | − | 0.206781i | ||||
\(355\) | −24.9309 | + | 43.1815i | −1.32319 | + | 2.29184i | ||||
\(356\) | − | 2.13826i | − | 0.113328i | ||||||
\(357\) | −0.759413 | − | 0.438447i | −0.0401924 | − | 0.0232051i | ||||
\(358\) | −6.59524 | − | 3.80776i | −0.348569 | − | 0.201247i | ||||
\(359\) | − | 9.36932i | − | 0.494494i | −0.968953 | − | 0.247247i | \(-0.920474\pi\) | ||
0.968953 | − | 0.247247i | \(-0.0795258\pi\) | |||||||
\(360\) | 4.34233 | − | 7.52113i | 0.228861 | − | 0.396399i | ||||
\(361\) | 15.8693 | + | 27.4865i | 0.835227 | + | 1.44666i | ||||
\(362\) | 3.63058 | − | 2.09612i | 0.190819 | − | 0.110170i | ||||
\(363\) | 7.00000 | 0.367405 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 36.0540 | 1.88715 | ||||||||
\(366\) | 5.24290 | − | 3.02699i | 0.274051 | − | 0.158223i | ||||
\(367\) | 8.52699 | + | 14.7692i | 0.445105 | + | 0.770945i | 0.998060 | − | 0.0622668i | \(-0.0198330\pi\) |
−0.552954 | + | 0.833212i | \(0.686500\pi\) | |||||||
\(368\) | −4.68466 | + | 8.11407i | −0.244205 | + | 0.422975i | ||||
\(369\) | 1.56155i | 0.0812912i | ||||||||
\(370\) | 36.4198 | + | 21.0270i | 1.89338 | + | 1.09314i | ||||
\(371\) | 0.332962 | + | 0.192236i | 0.0172865 | + | 0.00998039i | ||||
\(372\) | 1.12311i | 0.0582303i | ||||||||
\(373\) | −14.1847 | + | 24.5685i | −0.734454 | + | 1.27211i | 0.220509 | + | 0.975385i | \(0.429228\pi\) |
−0.954963 | + | 0.296726i | \(0.904105\pi\) | |||||||
\(374\) | −2.43845 | − | 4.22351i | −0.126089 | − | 0.218393i | ||||
\(375\) | −8.28055 | + | 4.78078i | −0.427606 | + | 0.246878i | ||||
\(376\) | −20.1080 | −1.03699 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −0.876894 | −0.0451026 | ||||||||
\(379\) | −20.5115 | + | 11.8423i | −1.05361 | + | 0.608300i | −0.923657 | − | 0.383221i | \(-0.874815\pi\) |
−0.129949 | + | 0.991521i | \(0.541481\pi\) | |||||||
\(380\) | 5.56155 | + | 9.63289i | 0.285302 | + | 0.494157i | ||||
\(381\) | 2.71922 | − | 4.70983i | 0.139310 | − | 0.241292i | ||||
\(382\) | − | 14.2462i | − | 0.728900i | ||||||
\(383\) | −19.6922 | − | 11.3693i | −1.00623 | − | 0.580945i | −0.0961417 | − | 0.995368i | \(-0.530650\pi\) |
−0.910085 | + | 0.414423i | \(0.863984\pi\) | |||||||
\(384\) | 11.7446 | + | 6.78078i | 0.599342 | + | 0.346030i | ||||
\(385\) | 4.00000i | 0.203859i | ||||||||
\(386\) | −10.5346 | + | 18.2464i | −0.536195 | + | 0.928717i | ||||
\(387\) | 2.28078 | + | 3.95042i | 0.115938 | + | 0.200811i | ||||
\(388\) | −3.25088 | + | 1.87689i | −0.165038 | + | 0.0952849i | ||||
\(389\) | −34.0540 | −1.72661 | −0.863303 | − | 0.504687i | \(-0.831608\pi\) | ||||
−0.863303 | + | 0.504687i | \(0.831608\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.12311 | −0.157942 | ||||||||
\(392\) | 14.1164 | − | 8.15009i | 0.712985 | − | 0.411642i | ||||
\(393\) | −3.68466 | − | 6.38202i | −0.185866 | − | 0.321930i | ||||
\(394\) | −10.4384 | + | 18.0799i | −0.525881 | + | 0.910853i | ||||
\(395\) | 19.3693i | 0.974576i | ||||||||
\(396\) | −0.759413 | − | 0.438447i | −0.0381619 | − | 0.0220328i | ||||
\(397\) | −21.6974 | − | 12.5270i | −1.08896 | − | 0.628711i | −0.155661 | − | 0.987811i | \(-0.549751\pi\) |
−0.933299 | + | 0.359099i | \(0.883084\pi\) | |||||||
\(398\) | − | 34.6307i | − | 1.73588i | ||||||
\(399\) | −2.00000 | + | 3.46410i | −0.100125 | + | 0.173422i | ||||
\(400\) | −18.0000 | − | 31.1769i | −0.900000 | − | 1.55885i | ||||
\(401\) | 12.5041 | − | 7.21922i | 0.624423 | − | 0.360511i | −0.154166 | − | 0.988045i | \(-0.549269\pi\) |
0.778589 | + | 0.627534i | \(0.215936\pi\) | |||||||
\(402\) | 7.12311 | 0.355268 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −3.31534 | −0.164944 | ||||||||
\(405\) | 3.08440 | − | 1.78078i | 0.153265 | − | 0.0884875i | ||||
\(406\) | 2.93087 | + | 5.07642i | 0.145457 | + | 0.251938i | ||||
\(407\) | −7.56155 | + | 13.0970i | −0.374812 | + | 0.649194i | ||||
\(408\) | 3.80776i | 0.188512i | ||||||||
\(409\) | 5.51599 | + | 3.18466i | 0.272748 | + | 0.157471i | 0.630136 | − | 0.776485i | \(-0.282999\pi\) |
−0.357388 | + | 0.933956i | \(0.616333\pi\) | |||||||
\(410\) | 7.52113 | + | 4.34233i | 0.371442 | + | 0.214452i | ||||
\(411\) | − | 5.56155i | − | 0.274331i | ||||||
\(412\) | 0.753789 | − | 1.30560i | 0.0371365 | − | 0.0643223i | ||||
\(413\) | −0.807764 | − | 1.39909i | −0.0397475 | − | 0.0688446i | ||||
\(414\) | −2.70469 | + | 1.56155i | −0.132928 | + | 0.0767461i | ||||
\(415\) | −3.12311 | −0.153307 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −17.9309 | −0.878078 | ||||||||
\(418\) | −19.2658 | + | 11.1231i | −0.942320 | + | 0.544049i | ||||
\(419\) | 17.1231 | + | 29.6581i | 0.836518 | + | 1.44889i | 0.892788 | + | 0.450477i | \(0.148746\pi\) |
−0.0562697 | + | 0.998416i | \(0.517921\pi\) | |||||||
\(420\) | −0.438447 | + | 0.759413i | −0.0213940 | + | 0.0370556i | ||||
\(421\) | − | 31.2462i | − | 1.52285i | −0.648255 | − | 0.761424i | \(-0.724501\pi\) | ||
0.648255 | − | 0.761424i | \(-0.275499\pi\) | |||||||
\(422\) | −26.6204 | − | 15.3693i | −1.29586 | − | 0.748167i | ||||
\(423\) | −7.14143 | − | 4.12311i | −0.347228 | − | 0.200472i | ||||
\(424\) | − | 1.66950i | − | 0.0810783i | ||||||
\(425\) | 6.00000 | − | 10.3923i | 0.291043 | − | 0.504101i | ||||
\(426\) | −10.9309 | − | 18.9328i | −0.529602 | − | 0.917298i | ||||
\(427\) | 1.88541 | − | 1.08854i | 0.0912413 | − | 0.0526782i | ||||
\(428\) | 3.61553 | 0.174763 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 25.3693 | 1.22342 | ||||||||
\(431\) | 9.63289 | − | 5.56155i | 0.464000 | − | 0.267891i | −0.249725 | − | 0.968317i | \(-0.580340\pi\) |
0.713725 | + | 0.700426i | \(0.247007\pi\) | |||||||
\(432\) | 2.34233 | + | 4.05703i | 0.112695 | + | 0.195194i | ||||
\(433\) | 4.37689 | − | 7.58100i | 0.210340 | − | 0.364320i | −0.741481 | − | 0.670974i | \(-0.765876\pi\) |
0.951821 | + | 0.306654i | \(0.0992095\pi\) | |||||||
\(434\) | 2.24621i | 0.107822i | ||||||||
\(435\) | −20.6181 | − | 11.9039i | −0.988564 | − | 0.570747i | ||||
\(436\) | 1.06613 | + | 0.615528i | 0.0510582 | + | 0.0294785i | ||||
\(437\) | 14.2462i | 0.681489i | ||||||||
\(438\) | −7.90388 | + | 13.6899i | −0.377662 | + | 0.654130i | ||||
\(439\) | −6.84233 | − | 11.8513i | −0.326567 | − | 0.565630i | 0.655262 | − | 0.755402i | \(-0.272558\pi\) |
−0.981828 | + | 0.189772i | \(0.939225\pi\) | |||||||
\(440\) | 15.0423 | − | 8.68466i | 0.717112 | − | 0.414025i | ||||
\(441\) | 6.68466 | 0.318317 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −34.7386 | −1.65048 | −0.825241 | − | 0.564781i | \(-0.808961\pi\) | ||||
−0.825241 | + | 0.564781i | \(0.808961\pi\) | |||||||
\(444\) | −2.87117 | + | 1.65767i | −0.136260 | + | 0.0786696i | ||||
\(445\) | 8.68466 | + | 15.0423i | 0.411692 | + | 0.713072i | ||||
\(446\) | −6.24621 | + | 10.8188i | −0.295767 | + | 0.512283i | ||||
\(447\) | 2.43845i | 0.115335i | ||||||||
\(448\) | 2.70469 | + | 1.56155i | 0.127785 | + | 0.0737764i | ||||
\(449\) | 7.14143 | + | 4.12311i | 0.337025 | + | 0.194581i | 0.658956 | − | 0.752182i | \(-0.270998\pi\) |
−0.321931 | + | 0.946763i | \(0.604332\pi\) | |||||||
\(450\) | − | 12.0000i | − | 0.565685i | ||||||
\(451\) | −1.56155 | + | 2.70469i | −0.0735307 | + | 0.127359i | ||||
\(452\) | 1.27320 | + | 2.20525i | 0.0598862 | + | 0.103726i | ||||
\(453\) | −8.11407 | + | 4.68466i | −0.381232 | + | 0.220104i | ||||
\(454\) | 11.1231 | 0.522033 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 17.3693 | 0.813393 | ||||||||
\(457\) | −10.9254 | + | 6.30776i | −0.511067 | + | 0.295065i | −0.733272 | − | 0.679935i | \(-0.762008\pi\) |
0.222205 | + | 0.975000i | \(0.428675\pi\) | |||||||
\(458\) | −12.6847 | − | 21.9705i | −0.592715 | − | 1.02661i | ||||
\(459\) | −0.780776 | + | 1.35234i | −0.0364435 | + | 0.0631220i | ||||
\(460\) | 3.12311i | 0.145616i | ||||||||
\(461\) | −14.0229 | − | 8.09612i | −0.653111 | − | 0.377074i | 0.136536 | − | 0.990635i | \(-0.456403\pi\) |
−0.789647 | + | 0.613561i | \(0.789736\pi\) | |||||||
\(462\) | −1.51883 | − | 0.876894i | −0.0706622 | − | 0.0407968i | ||||
\(463\) | − | 14.3153i | − | 0.665290i | −0.943052 | − | 0.332645i | \(-0.892059\pi\) | ||
0.943052 | − | 0.332645i | \(-0.107941\pi\) | |||||||
\(464\) | 15.6577 | − | 27.1199i | 0.726889 | − | 1.25901i | ||||
\(465\) | −4.56155 | − | 7.90084i | −0.211537 | − | 0.366393i | ||||
\(466\) | −35.1610 | + | 20.3002i | −1.62880 | + | 0.940388i | ||||
\(467\) | 26.0000 | 1.20314 | 0.601568 | − | 0.798821i | \(-0.294543\pi\) | ||||
0.601568 | + | 0.798821i | \(0.294543\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.56155 | 0.118282 | ||||||||
\(470\) | −39.7174 | + | 22.9309i | −1.83203 | + | 1.05772i | ||||
\(471\) | −10.1847 | − | 17.6403i | −0.469284 | − | 0.812824i | ||||
\(472\) | −3.50758 | + | 6.07530i | −0.161449 | + | 0.279638i | ||||
\(473\) | 9.12311i | 0.419481i | ||||||||
\(474\) | −7.35465 | − | 4.24621i | −0.337810 | − | 0.195035i | ||||
\(475\) | −47.4050 | − | 27.3693i | −2.17509 | − | 1.25579i | ||||
\(476\) | − | 0.384472i | − | 0.0176222i | ||||||
\(477\) | 0.342329 | − | 0.592932i | 0.0156742 | − | 0.0271485i | ||||
\(478\) | 19.8078 | + | 34.3081i | 0.905986 | + | 1.56921i | ||||
\(479\) | 8.87348 | − | 5.12311i | 0.405440 | − | 0.234081i | −0.283389 | − | 0.959005i | \(-0.591459\pi\) |
0.688828 | + | 0.724924i | \(0.258125\pi\) | |||||||
\(480\) | 8.68466 | 0.396399 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 27.8078 | 1.26661 | ||||||||
\(483\) | −0.972638 | + | 0.561553i | −0.0442566 | + | 0.0255515i | ||||
\(484\) | 1.53457 | + | 2.65794i | 0.0697530 | + | 0.120816i | ||||
\(485\) | 15.2462 | − | 26.4072i | 0.692295 | − | 1.19909i | ||||
\(486\) | 1.56155i | 0.0708335i | ||||||||
\(487\) | 6.16879 | + | 3.56155i | 0.279535 | + | 0.161389i | 0.633213 | − | 0.773978i | \(-0.281736\pi\) |
−0.353678 | + | 0.935367i | \(0.615069\pi\) | |||||||
\(488\) | −8.18706 | − | 4.72680i | −0.370611 | − | 0.213972i | ||||
\(489\) | − | 4.80776i | − | 0.217415i | ||||||
\(490\) | 18.5885 | − | 32.1963i | 0.839745 | − | 1.45448i | ||||
\(491\) | −18.1231 | − | 31.3901i | −0.817884 | − | 1.41662i | −0.907238 | − | 0.420617i | \(-0.861814\pi\) |
0.0893539 | − | 0.996000i | \(-0.471520\pi\) | |||||||
\(492\) | −0.592932 | + | 0.342329i | −0.0267314 | + | 0.0154334i | ||||
\(493\) | 10.4384 | 0.470124 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 7.12311 | 0.320160 | ||||||||
\(496\) | 10.3923 | − | 6.00000i | 0.466628 | − | 0.269408i | ||||
\(497\) | −3.93087 | − | 6.80847i | −0.176324 | − | 0.305401i | ||||
\(498\) | 0.684658 | − | 1.18586i | 0.0306803 | − | 0.0531398i | ||||
\(499\) | − | 4.49242i | − | 0.201108i | −0.994932 | − | 0.100554i | \(-0.967938\pi\) | ||
0.994932 | − | 0.100554i | \(-0.0320616\pi\) | |||||||
\(500\) | −3.63058 | − | 2.09612i | −0.162365 | − | 0.0937412i | ||||
\(501\) | −8.87348 | − | 5.12311i | −0.396438 | − | 0.228883i | ||||
\(502\) | − | 29.2614i | − | 1.30600i | ||||||
\(503\) | 14.1231 | − | 24.4619i | 0.629718 | − | 1.09070i | −0.357890 | − | 0.933764i | \(-0.616504\pi\) |
0.987608 | − | 0.156940i | \(-0.0501630\pi\) | |||||||
\(504\) | 0.684658 | + | 1.18586i | 0.0304971 | + | 0.0528225i | ||||
\(505\) | 23.3228 | − | 13.4654i | 1.03785 | − | 0.599204i | ||||
\(506\) | −6.24621 | −0.277678 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.38447 | 0.105794 | ||||||||
\(509\) | 11.9579 | − | 6.90388i | 0.530023 | − | 0.306009i | −0.211003 | − | 0.977486i | \(-0.567673\pi\) |
0.741026 | + | 0.671476i | \(0.234340\pi\) | |||||||
\(510\) | 4.34233 | + | 7.52113i | 0.192282 | + | 0.333041i | ||||
\(511\) | −2.84233 | + | 4.92306i | −0.125737 | + | 0.217783i | ||||
\(512\) | − | 11.4233i | − | 0.504843i | ||||||
\(513\) | 6.16879 | + | 3.56155i | 0.272359 | + | 0.157246i | ||||
\(514\) | 39.4575 | + | 22.7808i | 1.74039 | + | 1.00482i | ||||
\(515\) | 12.2462i | 0.539633i | ||||||||
\(516\) | −1.00000 | + | 1.73205i | −0.0440225 | + | 0.0762493i | ||||
\(517\) | −8.24621 | − | 14.2829i | −0.362668 | − | 0.628159i | ||||
\(518\) | −5.74234 | + | 3.31534i | −0.252304 | + | 0.145668i | ||||
\(519\) | −20.2462 | −0.888710 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.06913 | −0.397326 | −0.198663 | − | 0.980068i | \(-0.563660\pi\) | ||||
−0.198663 | + | 0.980068i | \(0.563660\pi\) | |||||||
\(522\) | 9.03996 | − | 5.21922i | 0.395668 | − | 0.228439i | ||||
\(523\) | −16.9309 | − | 29.3251i | −0.740335 | − | 1.28230i | −0.952343 | − | 0.305030i | \(-0.901333\pi\) |
0.212007 | − | 0.977268i | \(-0.432000\pi\) | |||||||
\(524\) | 1.61553 | − | 2.79818i | 0.0705747 | − | 0.122239i | ||||
\(525\) | − | 4.31534i | − | 0.188337i | ||||||
\(526\) | −12.6705 | − | 7.31534i | −0.552462 | − | 0.318964i | ||||
\(527\) | 3.46410 | + | 2.00000i | 0.150899 | + | 0.0871214i | ||||
\(528\) | 9.36932i | 0.407747i | ||||||||
\(529\) | 9.50000 | − | 16.4545i | 0.413043 | − | 0.715412i | ||||
\(530\) | −1.90388 | − | 3.29762i | −0.0826994 | − | 0.143239i | ||||
\(531\) | −2.49146 | + | 1.43845i | −0.108120 | + | 0.0624233i | ||||
\(532\) | −1.75379 | −0.0760364 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −7.61553 | −0.329556 | ||||||||
\(535\) | −25.4346 | + | 14.6847i | −1.09963 | + | 0.634873i | ||||
\(536\) | −5.56155 | − | 9.63289i | −0.240222 | − | 0.416078i | ||||
\(537\) | −2.43845 | + | 4.22351i | −0.105227 | + | 0.182258i | ||||
\(538\) | − | 33.3693i | − | 1.43865i | ||||||
\(539\) | 11.5782 | + | 6.68466i | 0.498707 | + | 0.287929i | ||||
\(540\) | 1.35234 | + | 0.780776i | 0.0581956 | + | 0.0335993i | ||||
\(541\) | 19.7386i | 0.848630i | 0.905515 | + | 0.424315i | \(0.139485\pi\) | ||||
−0.905515 | + | 0.424315i | \(0.860515\pi\) | |||||||
\(542\) | −23.3693 | + | 40.4768i | −1.00380 | + | 1.73863i | ||||
\(543\) | −1.34233 | − | 2.32498i | −0.0576049 | − | 0.0997745i | ||||
\(544\) | −3.29762 | + | 1.90388i | −0.141384 | + | 0.0816283i | ||||
\(545\) | −10.0000 | −0.428353 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.93087 | 0.168072 | 0.0840359 | − | 0.996463i | \(-0.473219\pi\) | ||||
0.0840359 | + | 0.996463i | \(0.473219\pi\) | |||||||
\(548\) | 2.11176 | − | 1.21922i | 0.0902098 | − | 0.0520827i | ||||
\(549\) | −1.93845 | − | 3.35749i | −0.0827309 | − | 0.143294i | ||||
\(550\) | 12.0000 | − | 20.7846i | 0.511682 | − | 0.886259i | ||||
\(551\) | − | 47.6155i | − | 2.02849i | ||||||
\(552\) | 4.22351 | + | 2.43845i | 0.179765 | + | 0.103787i | ||||
\(553\) | −2.64482 | − | 1.52699i | −0.112469 | − | 0.0649341i | ||||
\(554\) | − | 8.30019i | − | 0.352641i | ||||||
\(555\) | 13.4654 | − | 23.3228i | 0.571576 | − | 0.989998i | ||||
\(556\) | −3.93087 | − | 6.80847i | −0.166706 | − | 0.288743i | ||||
\(557\) | −37.1792 | + | 21.4654i | −1.57533 | + | 0.909520i | −0.579837 | + | 0.814733i | \(0.696884\pi\) |
−0.995498 | + | 0.0947869i | \(0.969783\pi\) | |||||||
\(558\) | 4.00000 | 0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 9.36932 | 0.395926 | ||||||||
\(561\) | −2.70469 | + | 1.56155i | −0.114192 | + | 0.0659288i | ||||
\(562\) | 13.9039 | + | 24.0822i | 0.586500 | + | 1.01585i | ||||
\(563\) | −11.6847 | + | 20.2384i | −0.492450 | + | 0.852948i | −0.999962 | − | 0.00869657i | \(-0.997232\pi\) |
0.507513 | + | 0.861644i | \(0.330565\pi\) | |||||||
\(564\) | − | 3.61553i | − | 0.152241i | ||||||
\(565\) | −17.9134 | − | 10.3423i | −0.753624 | − | 0.435105i | ||||
\(566\) | −18.5064 | − | 10.6847i | −0.777881 | − | 0.449110i | ||||
\(567\) | 0.561553i | 0.0235830i | ||||||||
\(568\) | −17.0691 | + | 29.5646i | −0.716205 | + | 1.24050i | ||||
\(569\) | −4.36932 | − | 7.56788i | −0.183171 | − | 0.317262i | 0.759787 | − | 0.650171i | \(-0.225303\pi\) |
−0.942959 | + | 0.332910i | \(0.891970\pi\) | |||||||
\(570\) | 34.3081 | − | 19.8078i | 1.43701 | − | 0.829656i | ||||
\(571\) | 5.36932 | 0.224699 | 0.112349 | − | 0.993669i | \(-0.464162\pi\) | ||||
0.112349 | + | 0.993669i | \(0.464162\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.12311 | −0.381123 | ||||||||
\(574\) | −1.18586 | + | 0.684658i | −0.0494970 | + | 0.0285771i | ||||
\(575\) | −7.68466 | − | 13.3102i | −0.320472 | − | 0.555074i | ||||
\(576\) | 2.78078 | − | 4.81645i | 0.115866 | − | 0.200685i | ||||
\(577\) | 17.3153i | 0.720847i | 0.932789 | + | 0.360424i | \(0.117368\pi\) | ||||
−0.932789 | + | 0.360424i | \(0.882632\pi\) | |||||||
\(578\) | 19.6922 | + | 11.3693i | 0.819089 | + | 0.472901i | ||||
\(579\) | 11.6848 | + | 6.74621i | 0.485603 | + | 0.280363i | ||||
\(580\) | − | 10.4384i | − | 0.433433i | ||||||
\(581\) | 0.246211 | − | 0.426450i | 0.0102146 | − | 0.0176921i | ||||
\(582\) | 6.68466 | + | 11.5782i | 0.277088 | + | 0.479931i | ||||
\(583\) | 1.18586 | − | 0.684658i | 0.0491134 | − | 0.0283557i | ||||
\(584\) | 24.6847 | 1.02146 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −31.9157 | −1.31843 | ||||||||
\(587\) | −34.0948 | + | 19.6847i | −1.40724 | + | 0.812473i | −0.995122 | − | 0.0986556i | \(-0.968546\pi\) |
−0.412123 | + | 0.911128i | \(0.635212\pi\) | |||||||
\(588\) | 1.46543 | + | 2.53821i | 0.0604335 | + | 0.104674i | ||||
\(589\) | 9.12311 | − | 15.8017i | 0.375911 | − | 0.651097i | ||||
\(590\) | 16.0000i | 0.658710i | ||||||||
\(591\) | 11.5782 | + | 6.68466i | 0.476262 | + | 0.274970i | ||||
\(592\) | 30.6775 | + | 17.7116i | 1.26084 | + | 0.727944i | ||||
\(593\) | − | 17.4233i | − | 0.715489i | −0.933820 | − | 0.357744i | \(-0.883546\pi\) | ||
0.933820 | − | 0.357744i | \(-0.116454\pi\) | |||||||
\(594\) | −1.56155 | + | 2.70469i | −0.0640713 | + | 0.110975i | ||||
\(595\) | 1.56155 | + | 2.70469i | 0.0640174 | + | 0.110881i | ||||
\(596\) | −0.925894 | + | 0.534565i | −0.0379261 | + | 0.0218966i | ||||
\(597\) | −22.1771 | −0.907648 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −41.6155 | −1.70036 | −0.850182 | − | 0.526489i | \(-0.823508\pi\) | ||||
−0.850182 | + | 0.526489i | \(0.823508\pi\) | |||||||
\(600\) | −16.2281 | + | 9.36932i | −0.662511 | + | 0.382501i | ||||
\(601\) | 3.53457 | + | 6.12205i | 0.144178 | + | 0.249723i | 0.929066 | − | 0.369914i | \(-0.120613\pi\) |
−0.784888 | + | 0.619638i | \(0.787280\pi\) | |||||||
\(602\) | −2.00000 | + | 3.46410i | −0.0815139 | + | 0.141186i | ||||
\(603\) | − | 4.56155i | − | 0.185761i | ||||||
\(604\) | −3.55759 | − | 2.05398i | −0.144756 | − | 0.0835751i | ||||
\(605\) | −21.5908 | − | 12.4654i | −0.877789 | − | 0.506792i | ||||
\(606\) | 11.8078i | 0.479658i | ||||||||
\(607\) | 8.00000 | − | 13.8564i | 0.324710 | − | 0.562414i | −0.656744 | − | 0.754114i | \(-0.728067\pi\) |
0.981454 | + | 0.191700i | \(0.0614000\pi\) | |||||||
\(608\) | 8.68466 | + | 15.0423i | 0.352209 | + | 0.610045i | ||||
\(609\) | 3.25088 | − | 1.87689i | 0.131732 | − | 0.0760556i | ||||
\(610\) | −21.5616 | −0.873002 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −0.684658 | −0.0276757 | ||||||||
\(613\) | 30.1912 | − | 17.4309i | 1.21941 | − | 0.704026i | 0.254618 | − | 0.967042i | \(-0.418050\pi\) |
0.964792 | + | 0.263016i | \(0.0847171\pi\) | |||||||
\(614\) | 24.0540 | + | 41.6627i | 0.970739 | + | 1.68137i | ||||
\(615\) | 2.78078 | − | 4.81645i | 0.112132 | − | 0.194218i | ||||
\(616\) | 2.73863i | 0.110343i | ||||||||
\(617\) | 8.49377 | + | 4.90388i | 0.341946 | + | 0.197423i | 0.661132 | − | 0.750269i | \(-0.270076\pi\) |
−0.319186 | + | 0.947692i | \(0.603409\pi\) | |||||||
\(618\) | −4.64996 | − | 2.68466i | −0.187049 | − | 0.107993i | ||||
\(619\) | 29.3002i | 1.17767i | 0.808252 | + | 0.588837i | \(0.200414\pi\) | ||||
−0.808252 | + | 0.588837i | \(0.799586\pi\) | |||||||
\(620\) | 2.00000 | − | 3.46410i | 0.0803219 | − | 0.139122i | ||||
\(621\) | 1.00000 | + | 1.73205i | 0.0401286 | + | 0.0695048i | ||||
\(622\) | 25.8610 | − | 14.9309i | 1.03693 | − | 0.598673i | ||||
\(623\) | −2.73863 | −0.109721 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.36932 | −0.174773 | ||||||||
\(626\) | −18.5064 | + | 10.6847i | −0.739663 | + | 0.427045i | ||||
\(627\) | 7.12311 | + | 12.3376i | 0.284469 | + | 0.492716i | ||||
\(628\) | 4.46543 | − | 7.73436i | 0.178190 | − | 0.308635i | ||||
\(629\) | 11.8078i | 0.470806i | ||||||||
\(630\) | 2.70469 | + | 1.56155i | 0.107757 | + | 0.0622138i | ||||
\(631\) | 16.0748 | + | 9.28078i | 0.639927 | + | 0.369462i | 0.784586 | − | 0.620020i | \(-0.212875\pi\) |
−0.144660 | + | 0.989481i | \(0.546209\pi\) | |||||||
\(632\) | 13.2614i | 0.527509i | ||||||||
\(633\) | −9.84233 | + | 17.0474i | −0.391197 | + | 0.677574i | ||||
\(634\) | −10.9730 | − | 19.0058i | −0.435794 | − | 0.754817i | ||||
\(635\) | −16.7743 | + | 9.68466i | −0.665669 | + | 0.384324i | ||||
\(636\) | 0.300187 | 0.0119032 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 20.8769 | 0.826524 | ||||||||
\(639\) | −12.1244 | + | 7.00000i | −0.479632 | + | 0.276916i | ||||
\(640\) | −24.1501 | − | 41.8292i | −0.954616 | − | 1.65344i | ||||
\(641\) | −9.58854 | + | 16.6078i | −0.378725 | + | 0.655970i | −0.990877 | − | 0.134770i | \(-0.956971\pi\) |
0.612152 | + | 0.790740i | \(0.290304\pi\) | |||||||
\(642\) | − | 12.8769i | − | 0.508210i | ||||||
\(643\) | −27.3200 | − | 15.7732i | −1.07739 | − | 0.622034i | −0.147202 | − | 0.989106i | \(-0.547027\pi\) |
−0.930192 | + | 0.367072i | \(0.880360\pi\) | |||||||
\(644\) | −0.426450 | − | 0.246211i | −0.0168045 | − | 0.00970208i | ||||
\(645\) | − | 16.2462i | − | 0.639694i | ||||||
\(646\) | −8.68466 | + | 15.0423i | −0.341693 | + | 0.591830i | ||||
\(647\) | −3.19224 | − | 5.52911i | −0.125500 | − | 0.217372i | 0.796428 | − | 0.604733i | \(-0.206720\pi\) |
−0.921928 | + | 0.387361i | \(0.873387\pi\) | |||||||
\(648\) | 2.11176 | − | 1.21922i | 0.0829577 | − | 0.0478956i | ||||
\(649\) | −5.75379 | −0.225856 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.43845 | 0.0563772 | ||||||||
\(652\) | 1.82554 | − | 1.05398i | 0.0714936 | − | 0.0412769i | ||||
\(653\) | −11.5616 | − | 20.0252i | −0.452439 | − | 0.783647i | 0.546098 | − | 0.837721i | \(-0.316112\pi\) |
−0.998537 | + | 0.0540745i | \(0.982779\pi\) | |||||||
\(654\) | 2.19224 | − | 3.79706i | 0.0857232 | − | 0.148477i | ||||
\(655\) | 26.2462i | 1.02552i | ||||||||
\(656\) | 6.33527 | + | 3.65767i | 0.247351 | + | 0.142808i | ||||
\(657\) | 8.76687 | + | 5.06155i | 0.342028 | + | 0.197470i | ||||
\(658\) | − | 7.23106i | − | 0.281896i | ||||||
\(659\) | 1.12311 | − | 1.94528i | 0.0437500 | − | 0.0757772i | −0.843321 | − | 0.537410i | \(-0.819403\pi\) |
0.887071 | + | 0.461633i | \(0.152736\pi\) | |||||||
\(660\) | 1.56155 | + | 2.70469i | 0.0607834 | + | 0.105280i | ||||
\(661\) | 4.87631 | − | 2.81534i | 0.189667 | − | 0.109504i | −0.402160 | − | 0.915569i | \(-0.631740\pi\) |
0.591827 | + | 0.806065i | \(0.298407\pi\) | |||||||
\(662\) | −4.98485 | −0.193742 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.13826 | −0.0829806 | ||||||||
\(665\) | 12.3376 | − | 7.12311i | 0.478431 | − | 0.276222i | ||||
\(666\) | 5.90388 | + | 10.2258i | 0.228771 | + | 0.396243i | ||||
\(667\) | 6.68466 | − | 11.5782i | 0.258831 | − | 0.448308i | ||||
\(668\) | − | 4.49242i | − | 0.173817i | ||||||
\(669\) | 6.92820 | + | 4.00000i | 0.267860 | + | 0.154649i | ||||
\(670\) | −21.9705 | − | 12.6847i | −0.848793 | − | 0.490051i | ||||
\(671\) | − | 7.75379i | − | 0.299332i | ||||||
\(672\) | −0.684658 | + | 1.18586i | −0.0264113 | + | 0.0457457i | ||||
\(673\) | −11.6231 | − | 20.1318i | −0.448038 | − | 0.776024i | 0.550220 | − | 0.835019i | \(-0.314544\pi\) |
−0.998258 | + | 0.0589952i | \(0.981210\pi\) | |||||||
\(674\) | 8.28055 | − | 4.78078i | 0.318955 | − | 0.184149i | ||||
\(675\) | −7.68466 | −0.295783 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.6155 | −0.600153 | −0.300077 | − | 0.953915i | \(-0.597012\pi\) | ||||
−0.300077 | + | 0.953915i | \(0.597012\pi\) | |||||||
\(678\) | 7.85410 | − | 4.53457i | 0.301635 | − | 0.174149i | ||||
\(679\) | 2.40388 | + | 4.16365i | 0.0922525 | + | 0.159786i | ||||
\(680\) | 6.78078 | − | 11.7446i | 0.260031 | − | 0.450387i | ||||
\(681\) | − | 7.12311i | − | 0.272958i | ||||||
\(682\) | 6.92820 | + | 4.00000i | 0.265295 | + | 0.153168i | ||||
\(683\) | 33.0025 | + | 19.0540i | 1.26280 | + | 0.729080i | 0.973616 | − | 0.228192i | \(-0.0732815\pi\) |
0.289188 | + | 0.957272i | \(0.406615\pi\) | |||||||
\(684\) | 3.12311i | 0.119415i | ||||||||
\(685\) | −9.90388 | + | 17.1540i | −0.378408 | + | 0.655422i | ||||
\(686\) | 6.00000 | + | 10.3923i | 0.229081 | + | 0.396780i | ||||
\(687\) | −14.0696 | + | 8.12311i | −0.536790 | + | 0.309916i | ||||
\(688\) | 21.3693 | 0.814698 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 11.1231 | 0.423449 | ||||||||
\(691\) | 44.4273 | − | 25.6501i | 1.69009 | − | 0.975776i | 0.735659 | − | 0.677352i | \(-0.236872\pi\) |
0.954433 | − | 0.298424i | \(-0.0964609\pi\) | |||||||
\(692\) | −4.43845 | − | 7.68762i | −0.168724 | − | 0.292239i | ||||
\(693\) | −0.561553 | + | 0.972638i | −0.0213316 | + | 0.0369475i | ||||
\(694\) | 43.1231i | 1.63693i | ||||||||
\(695\) | 55.3059 | + | 31.9309i | 2.09787 | + | 1.21121i | ||||
\(696\) | −14.1164 | − | 8.15009i | −0.535080 | − | 0.308928i | ||||
\(697\) | 2.43845i | 0.0923628i | ||||||||
\(698\) | 5.31534 | − | 9.20644i | 0.201189 | − | 0.348469i | ||||
\(699\) | 13.0000 | + | 22.5167i | 0.491705 | + | 0.851658i | ||||
\(700\) | 1.63856 | − | 0.946025i | 0.0619319 | − | 0.0357564i | ||||
\(701\) | 5.36932 | 0.202796 | 0.101398 | − | 0.994846i | \(-0.467668\pi\) | ||||
0.101398 | + | 0.994846i | \(0.467668\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 53.8617 | 2.03143 | ||||||||
\(704\) | 9.63289 | − | 5.56155i | 0.363053 | − | 0.209609i | ||||
\(705\) | 14.6847 | + | 25.4346i | 0.553056 | + | 0.957921i | ||||
\(706\) | −4.15009 | + | 7.18817i | −0.156191 | + | 0.270530i | ||||
\(707\) | 4.24621i | 0.159695i | ||||||||
\(708\) | −1.09238 | − | 0.630683i | −0.0410540 | − | 0.0237025i | ||||
\(709\) | 6.48863 | + | 3.74621i | 0.243686 | + | 0.140692i | 0.616869 | − | 0.787065i | \(-0.288401\pi\) |
−0.373184 | + | 0.927757i | \(0.621734\pi\) | |||||||
\(710\) | 77.8617i | 2.92210i | ||||||||
\(711\) | −2.71922 | + | 4.70983i | −0.101979 | + | 0.176633i | ||||
\(712\) | 5.94602 | + | 10.2988i | 0.222837 | + | 0.385964i | ||||
\(713\) | 4.43674 | − | 2.56155i | 0.166157 | − | 0.0959309i | ||||
\(714\) | −1.36932 | −0.0512454 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.13826 | −0.0799106 | ||||||||
\(717\) | 21.9705 | − | 12.6847i | 0.820502 | − | 0.473717i | ||||
\(718\) | −7.31534 | − | 12.6705i | −0.273006 | − | 0.472860i | ||||
\(719\) | −11.6847 | + | 20.2384i | −0.435764 | + | 0.754766i | −0.997358 | − | 0.0726475i | \(-0.976855\pi\) |
0.561593 | + | 0.827413i | \(0.310189\pi\) | |||||||
\(720\) | − | 16.6847i | − | 0.621801i | ||||||
\(721\) | −1.67218 | − | 0.965435i | −0.0622753 | − | 0.0359547i | ||||
\(722\) | 42.9216 | + | 24.7808i | 1.59738 | + | 0.922245i | ||||
\(723\) | − | 17.8078i | − | 0.662278i | ||||||
\(724\) | 0.588540 | − | 1.01938i | 0.0218729 | − | 0.0378850i | ||||
\(725\) | 25.6847 | + | 44.4871i | 0.953904 | + | 1.65221i | ||||
\(726\) | 9.46641 | − | 5.46543i | 0.351331 | − | 0.202841i | ||||
\(727\) | 38.6695 | 1.43417 | 0.717086 | − | 0.696984i | \(-0.245475\pi\) | ||||
0.717086 | + | 0.696984i | \(0.245475\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 48.7574 | − | 28.1501i | 1.80459 | − | 1.04188i | ||||
\(731\) | 3.56155 | + | 6.16879i | 0.131729 | + | 0.228161i | ||||
\(732\) | 0.849907 | − | 1.47208i | 0.0314135 | − | 0.0544097i | ||||
\(733\) | − | 20.5076i | − | 0.757465i | −0.925506 | − | 0.378732i | \(-0.876360\pi\) | ||
0.925506 | − | 0.378732i | \(-0.123640\pi\) | |||||||
\(734\) | 23.0628 | + | 13.3153i | 0.851265 | + | 0.491478i | ||||
\(735\) | −20.6181 | − | 11.9039i | −0.760511 | − | 0.439081i | ||||
\(736\) | 4.87689i | 0.179765i | ||||||||
\(737\) | 4.56155 | − | 7.90084i | 0.168027 | − | 0.291031i | ||||
\(738\) | 1.21922 | + | 2.11176i | 0.0448802 | + | 0.0777349i | ||||
\(739\) | 8.87348 | − | 5.12311i | 0.326416 | − | 0.188456i | −0.327833 | − | 0.944736i | \(-0.606318\pi\) |
0.654249 | + | 0.756279i | \(0.272985\pi\) | |||||||
\(740\) | 11.8078 | 0.434062 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.600373 | 0.0220404 | ||||||||
\(743\) | 10.9385 | − | 6.31534i | 0.401294 | − | 0.231687i | −0.285748 | − | 0.958305i | \(-0.592242\pi\) |
0.687042 | + | 0.726617i | \(0.258909\pi\) | |||||||
\(744\) | −3.12311 | − | 5.40938i | −0.114499 | − | 0.198317i | ||||
\(745\) | 4.34233 | − | 7.52113i | 0.159091 | − | 0.275553i | ||||
\(746\) | 44.3002i | 1.62195i | ||||||||
\(747\) | −0.759413 | − | 0.438447i | −0.0277855 | − | 0.0160419i | ||||
\(748\) | −1.18586 | − | 0.684658i | −0.0433595 | − | 0.0250336i | ||||
\(749\) | − | 4.63068i | − | 0.169201i | ||||||
\(750\) | −7.46543 | + | 12.9305i | −0.272599 | + | 0.472156i | ||||
\(751\) | 22.0540 | + | 38.1986i | 0.804761 | + | 1.39389i | 0.916452 | + | 0.400144i | \(0.131040\pi\) |
−0.111691 | + | 0.993743i | \(0.535627\pi\) | |||||||
\(752\) | −33.4552 | + | 19.3153i | −1.21998 | + | 0.704358i | ||||
\(753\) | −18.7386 | −0.682874 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 33.3693 | 1.21443 | ||||||||
\(756\) | −0.213225 | + | 0.123106i | −0.00775493 | + | 0.00447731i | ||||
\(757\) | −15.0000 | − | 25.9808i | −0.545184 | − | 0.944287i | −0.998595 | − | 0.0529853i | \(-0.983126\pi\) |
0.453411 | − | 0.891302i | \(-0.350207\pi\) | |||||||
\(758\) | −18.4924 | + | 32.0298i | −0.671675 | + | 1.16338i | ||||
\(759\) | 4.00000i | 0.145191i | ||||||||
\(760\) | −53.5738 | − | 30.9309i | −1.94333 | − | 1.12198i | ||||
\(761\) | −8.11407 | − | 4.68466i | −0.294135 | − | 0.169819i | 0.345670 | − | 0.938356i | \(-0.387652\pi\) |
−0.639805 | + | 0.768537i | \(0.720985\pi\) | |||||||
\(762\) | − | 8.49242i | − | 0.307648i | ||||||
\(763\) | 0.788354 | − | 1.36547i | 0.0285403 | − | 0.0494333i | ||||
\(764\) | −2.00000 | − | 3.46410i | −0.0723575 | − | 0.125327i | ||||
\(765\) | 4.81645 | − | 2.78078i | 0.174139 | − | 0.100539i | ||||
\(766\) | −35.5076 | −1.28294 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 10.0540 | 0.362792 | ||||||||
\(769\) | 15.5885 | − | 9.00000i | 0.562134 | − | 0.324548i | −0.191867 | − | 0.981421i | \(-0.561454\pi\) |
0.754002 | + | 0.656873i | \(0.228121\pi\) | |||||||
\(770\) | 3.12311 | + | 5.40938i | 0.112549 | + | 0.194940i | ||||
\(771\) | 14.5885 | − | 25.2681i | 0.525393 | − | 0.910008i | ||||
\(772\) | 5.91571i | 0.212911i | ||||||||
\(773\) | −20.9978 | − | 12.1231i | −0.755240 | − | 0.436038i | 0.0723444 | − | 0.997380i | \(-0.476952\pi\) |
−0.827584 | + | 0.561342i | \(0.810285\pi\) | |||||||
\(774\) | 6.16879 | + | 3.56155i | 0.221733 | + | 0.128017i | ||||
\(775\) | 19.6847i | 0.707094i | ||||||||
\(776\) | 10.4384 | − | 18.0799i | 0.374718 | − | 0.649031i | ||||
\(777\) | 2.12311 | + | 3.67733i | 0.0761660 | + | 0.131923i | ||||
\(778\) | −46.0527 | + | 26.5885i | −1.65107 | + | 0.953245i | ||||
\(779\) | 11.1231 | 0.398527 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −28.0000 | −1.00192 | ||||||||
\(782\) | −4.22351 | + | 2.43845i | −0.151033 | + | 0.0871987i | ||||
\(783\) | −3.34233 | − | 5.78908i | −0.119445 | − | 0.206885i | ||||
\(784\) | 15.6577 | − | 27.1199i | 0.559203 | − | 0.968567i | ||||
\(785\) | 72.5464i | 2.58929i | ||||||||
\(786\) | −9.96585 | − | 5.75379i | −0.355470 | − | 0.205231i | ||||
\(787\) | −38.2585 | − | 22.0885i | −1.36377 | − | 0.787371i | −0.373644 | − | 0.927572i | \(-0.621892\pi\) |
−0.990123 | + | 0.140201i | \(0.955225\pi\) | |||||||
\(788\) | 5.86174i | 0.208816i | ||||||||
\(789\) | −4.68466 | + | 8.11407i | −0.166778 | + | 0.288868i | ||||
\(790\) | 15.1231 | + | 26.1940i | 0.538056 | + | 0.931940i | ||||
\(791\) | 2.82443 | − | 1.63068i | 0.100425 | − | 0.0579804i | ||||
\(792\) | 4.87689 | 0.173293 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −39.1231 | −1.38843 | ||||||||
\(795\) | −2.11176 | + | 1.21922i | −0.0748963 | + | 0.0432414i | ||||
\(796\) | −4.86174 | − | 8.42078i | −0.172320 | − | 0.298467i | ||||
\(797\) | −0.192236 | + | 0.332962i | −0.00680935 | + | 0.0117941i | −0.869410 | − | 0.494091i | \(-0.835501\pi\) |
0.862601 | + | 0.505885i | \(0.168834\pi\) | |||||||
\(798\) | 6.24621i | 0.221113i | ||||||||
\(799\) | −11.1517 | − | 6.43845i | −0.394519 | − | 0.227776i | ||||
\(800\) | −16.2281 | − | 9.36932i | −0.573751 | − | 0.331255i | ||||
\(801\) | 4.87689i | 0.172317i | ||||||||
\(802\) | 11.2732 | − | 19.5258i | 0.398070 | − | 0.689478i | ||||
\(803\) | 10.1231 | + | 17.5337i | 0.357237 | + | 0.618752i | ||||
\(804\) | 1.73205 | − | 1.00000i | 0.0610847 | − | 0.0352673i | ||||
\(805\) | 4.00000 | 0.140981 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.3693 | −0.752236 | ||||||||
\(808\) | 15.9682 | − | 9.21922i | 0.561758 | − | 0.324331i | ||||
\(809\) | 8.15009 | + | 14.1164i | 0.286542 | + | 0.496305i | 0.972982 | − | 0.230881i | \(-0.0741609\pi\) |
−0.686440 | + | 0.727187i | \(0.740828\pi\) | |||||||
\(810\) | 2.78078 | − | 4.81645i | 0.0977065 | − | 0.169233i | ||||
\(811\) | − | 2.56155i | − | 0.0899483i | −0.998988 | − | 0.0449741i | \(-0.985679\pi\) | ||
0.998988 | − | 0.0449741i | \(-0.0143205\pi\) | |||||||
\(812\) | 1.42534 | + | 0.822919i | 0.0500195 | + | 0.0288788i | ||||
\(813\) | 25.9209 | + | 14.9654i | 0.909085 | + | 0.524861i | ||||
\(814\) | 23.6155i | 0.827724i | ||||||||
\(815\) | −8.56155 | + | 14.8290i | −0.299898 | + | 0.519439i | ||||
\(816\) | 3.65767 | + | 6.33527i | 0.128044 | + | 0.221779i | ||||
\(817\) | 28.1393 | − | 16.2462i | 0.984468 | − | 0.568383i | ||||
\(818\) | 9.94602 | 0.347755 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.43845 | 0.0851543 | ||||||||
\(821\) | −5.62260 | + | 3.24621i | −0.196230 | + | 0.113294i | −0.594896 | − | 0.803803i | \(-0.702807\pi\) |
0.398666 | + | 0.917096i | \(0.369473\pi\) | |||||||
\(822\) | −4.34233 | − | 7.52113i | −0.151456 | − | 0.262330i | ||||
\(823\) | 4.00000 | − | 6.92820i | 0.139431 | − | 0.241502i | −0.787850 | − | 0.615867i | \(-0.788806\pi\) |
0.927281 | + | 0.374365i | \(0.122139\pi\) | |||||||
\(824\) | 8.38447i | 0.292087i | ||||||||
\(825\) | −13.3102 | − | 7.68466i | −0.463402 | − | 0.267545i | ||||
\(826\) | −2.18475 | − | 1.26137i | −0.0760172 | − | 0.0438885i | ||||
\(827\) | − | 14.7386i | − | 0.512513i | −0.966609 | − | 0.256256i | \(-0.917511\pi\) | ||
0.966609 | − | 0.256256i | \(-0.0824891\pi\) | |||||||
\(828\) | −0.438447 | + | 0.759413i | −0.0152371 | + | 0.0263914i | ||||
\(829\) | 6.74621 | + | 11.6848i | 0.234306 | + | 0.405829i | 0.959071 | − | 0.283167i | \(-0.0913850\pi\) |
−0.724765 | + | 0.688996i | \(0.758052\pi\) | |||||||
\(830\) | −4.22351 | + | 2.43845i | −0.146600 | + | 0.0846397i | ||||
\(831\) | −5.31534 | −0.184387 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 10.4384 | 0.361671 | ||||||||
\(834\) | −24.2487 | + | 14.0000i | −0.839664 | + | 0.484780i | ||||
\(835\) | 18.2462 | + | 31.6034i | 0.631436 | + | 1.09368i | ||||
\(836\) | −3.12311 | + | 5.40938i | −0.108015 | + | 0.187087i | ||||
\(837\) | − | 2.56155i | − | 0.0885402i | ||||||
\(838\) | 46.3127 | + | 26.7386i | 1.59984 | + | 0.923671i | ||||
\(839\) | −18.7196 | − | 10.8078i | −0.646272 | − | 0.373125i | 0.140754 | − | 0.990045i | \(-0.455047\pi\) |
−0.787027 | + | 0.616919i | \(0.788381\pi\) | |||||||
\(840\) | − | 4.87689i | − | 0.168269i | ||||||
\(841\) | −7.84233 | + | 13.5833i | −0.270425 | + | 0.468390i | ||||
\(842\) | −24.3963 | − | 42.2556i | −0.840752 | − | 1.45623i | ||||
\(843\) | 15.4220 | − | 8.90388i | 0.531161 | − | 0.306666i | ||||
\(844\) | −8.63068 | −0.297080 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −12.8769 | −0.442717 | ||||||||
\(847\) | 3.40423 | − | 1.96543i | 0.116971 | − | 0.0675331i | ||||
\(848\) | −1.60370 | − | 2.77768i | −0.0550711 | − | 0.0953860i | ||||
\(849\) | −6.84233 | + | 11.8513i | −0.234828 | + | 0.406734i | ||||
\(850\) | − | 18.7386i | − | 0.642730i | ||||||
\(851\) | 13.0970 | + | 7.56155i | 0.448959 | + | 0.259207i | ||||
\(852\) | −5.31589 | − | 3.06913i | −0.182119 | − | 0.105147i | ||||
\(853\) | 2.12311i | 0.0726938i | 0.999339 | + | 0.0363469i | \(0.0115721\pi\) | ||||
−0.999339 | + | 0.0363469i | \(0.988428\pi\) | |||||||
\(854\) | 1.69981 | − | 2.94416i | 0.0581664 | − | 0.100747i | ||||
\(855\) | −12.6847 | − | 21.9705i | −0.433806 | − | 0.751374i | ||||
\(856\) | −17.4140 | + | 10.0540i | −0.595198 | + | 0.343638i | ||||
\(857\) | −35.5616 | −1.21476 | −0.607380 | − | 0.794412i | \(-0.707779\pi\) | ||||
−0.607380 | + | 0.794412i | \(0.707779\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.5616 | 0.838029 | 0.419015 | − | 0.907979i | \(-0.362376\pi\) | ||||
0.419015 | + | 0.907979i | \(0.362376\pi\) | |||||||
\(860\) | 6.16879 | − | 3.56155i | 0.210354 | − | 0.121448i | ||||
\(861\) | 0.438447 | + | 0.759413i | 0.0149422 | + | 0.0258807i | ||||
\(862\) | 8.68466 | − | 15.0423i | 0.295801 | − | 0.512342i | ||||
\(863\) | − | 30.4924i | − | 1.03797i | −0.854782 | − | 0.518987i | \(-0.826309\pi\) | ||
0.854782 | − | 0.518987i | \(-0.173691\pi\) | |||||||
\(864\) | 2.11176 | + | 1.21922i | 0.0718434 | + | 0.0414788i | ||||
\(865\) | 62.4473 | + | 36.0540i | 2.12327 | + | 1.22587i | ||||
\(866\) | − | 13.6695i | − | 0.464509i | ||||||
\(867\) | 7.28078 | − | 12.6107i | 0.247268 | − | 0.428281i | ||||
\(868\) | 0.315342 | + | 0.546188i | 0.0107034 | + | 0.0185388i | ||||
\(869\) | −9.41967 | + | 5.43845i | −0.319540 | + | 0.184487i | ||||
\(870\) | −37.1771 | −1.26042 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −6.84658 | −0.231855 | ||||||||
\(873\) | 7.41452 | − | 4.28078i | 0.250944 | − | 0.144882i | ||||
\(874\) | 11.1231 | + | 19.2658i | 0.376245 | + | 0.651675i | ||||
\(875\) | −2.68466 | + | 4.64996i | −0.0907580 | + | 0.157198i | ||||
\(876\) | 4.43845i | 0.149961i | ||||||||
\(877\) | 20.4049 | + | 11.7808i | 0.689025 | + | 0.397809i | 0.803247 | − | 0.595647i | \(-0.203104\pi\) |
−0.114222 | + | 0.993455i | \(0.536437\pi\) | |||||||
\(878\) | −18.5064 | − | 10.6847i | −0.624560 | − | 0.360590i | ||||
\(879\) | 20.4384i | 0.689372i | ||||||||
\(880\) | 16.6847 | − | 28.8987i | 0.562440 | − | 0.974174i | ||||
\(881\) | −4.53457 | − | 7.85410i | −0.152773 | − | 0.264611i | 0.779473 | − | 0.626436i | \(-0.215487\pi\) |
−0.932246 | + | 0.361825i | \(0.882154\pi\) | |||||||
\(882\) | 9.03996 | − | 5.21922i | 0.304391 | − | 0.175740i | ||||
\(883\) | −8.80776 | −0.296405 | −0.148202 | − | 0.988957i | \(-0.547349\pi\) | ||||
−0.148202 | + | 0.988957i | \(0.547349\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 10.2462 | 0.344423 | ||||||||
\(886\) | −46.9786 | + | 27.1231i | −1.57828 | + | 0.911219i | ||||
\(887\) | −12.3153 | − | 21.3308i | −0.413509 | − | 0.716218i | 0.581762 | − | 0.813359i | \(-0.302364\pi\) |
−0.995271 | + | 0.0971410i | \(0.969030\pi\) | |||||||
\(888\) | 9.21922 | − | 15.9682i | 0.309377 | − | 0.535856i | ||||
\(889\) | − | 3.05398i | − | 0.102427i | ||||||
\(890\) | 23.4893 | + | 13.5616i | 0.787363 | + | 0.454584i | ||||
\(891\) | 1.73205 | + | 1.00000i | 0.0580259 | + | 0.0335013i | ||||
\(892\) | 3.50758i | 0.117442i | ||||||||
\(893\) | −29.3693 | + | 50.8691i | −0.982807 | + | 1.70227i | ||||
\(894\) | 1.90388 | + | 3.29762i | 0.0636753 | + | 0.110289i | ||||
\(895\) | 15.0423 | − | 8.68466i | 0.502808 | − | 0.290296i | ||||
\(896\) | 7.61553 | 0.254417 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 12.8769 | 0.429708 | ||||||||
\(899\) | −14.8290 | + | 8.56155i | −0.494576 | + | 0.285544i | ||||
\(900\) | −1.68466 | − | 2.91791i | −0.0561553 | − | 0.0972638i | ||||
\(901\) | 0.534565 | − | 0.925894i | 0.0178089 | − | 0.0308460i | ||||
\(902\) | 4.87689i | 0.162383i | ||||||||
\(903\) | 2.21837 | + | 1.28078i | 0.0738227 | + | 0.0426216i | ||||
\(904\) | −12.2646 | − | 7.08096i | −0.407914 | − | 0.235509i | ||||
\(905\) | 9.56155i | 0.317837i | ||||||||
\(906\) | −7.31534 | + | 12.6705i | −0.243036 | + | 0.420951i | ||||
\(907\) | 14.0000 | + | 24.2487i | 0.464862 | + | 0.805165i | 0.999195 | − | 0.0401089i | \(-0.0127705\pi\) |
−0.534333 | + | 0.845274i | \(0.679437\pi\) | |||||||
\(908\) | 2.70469 | − | 1.56155i | 0.0897583 | − | 0.0518220i | ||||
\(909\) | 7.56155 | 0.250801 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.7386 | 1.28347 | 0.641734 | − | 0.766927i | \(-0.278215\pi\) | ||||
0.641734 | + | 0.766927i | \(0.278215\pi\) | |||||||
\(912\) | 28.8987 | − | 16.6847i | 0.956931 | − | 0.552484i | ||||
\(913\) | −0.876894 | − | 1.51883i | −0.0290210 | − | 0.0502658i | ||||
\(914\) | −9.84991 | + | 17.0605i | −0.325806 | + | 0.564312i | ||||
\(915\) | 13.8078i | 0.456471i | ||||||||
\(916\) | −6.16879 | − | 3.56155i | −0.203823 | − | 0.117677i | ||||
\(917\) | −3.58384 | − | 2.06913i | −0.118349 | − | 0.0683287i | ||||
\(918\) | 2.43845i | 0.0804807i | ||||||||
\(919\) | −5.75379 | + | 9.96585i | −0.189800 | + | 0.328743i | −0.945183 | − | 0.326540i | \(-0.894117\pi\) |
0.755383 | + | 0.655283i | \(0.227451\pi\) | |||||||
\(920\) | −8.68466 | − | 15.0423i | −0.286325 | − | 0.495929i | ||||
\(921\) | 26.6803 | − | 15.4039i | 0.879146 | − | 0.507575i | ||||
\(922\) | −25.2850 | −0.832718 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −0.492423 | −0.0161995 | ||||||||
\(925\) | −50.3230 | + | 29.0540i | −1.65461 | + | 0.955289i | ||||
\(926\) | −11.1771 | − | 19.3593i | −0.367302 | − | 0.636185i | ||||
\(927\) | −1.71922 | + | 2.97778i | −0.0564667 | + | 0.0978032i | ||||
\(928\) | − | 16.3002i | − | 0.535080i | ||||||
\(929\) | −6.76172 | − | 3.90388i | −0.221845 | − | 0.128082i | 0.384959 | − | 0.922934i | \(-0.374215\pi\) |
−0.606804 | + | 0.794851i | \(0.707549\pi\) | |||||||
\(930\) | −12.3376 | − | 7.12311i | −0.404565 | − | 0.233576i | ||||
\(931\) | − | 47.6155i | − | 1.56054i | ||||||
\(932\) | −5.69981 | + | 9.87237i | −0.186704 | + | 0.323380i | ||||
\(933\) | −9.56155 | − | 16.5611i | −0.313031 | − | 0.542186i | ||||
\(934\) | 35.1610 | − | 20.3002i | 1.15050 | − | 0.664242i | ||||
\(935\) | 11.1231 | 0.363764 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.56155 | −0.247025 | −0.123513 | − | 0.992343i | \(-0.539416\pi\) | ||||
−0.123513 | + | 0.992343i | \(0.539416\pi\) | |||||||
\(938\) | 3.46410 | − | 2.00000i | 0.113107 | − | 0.0653023i | ||||
\(939\) | 6.84233 | + | 11.8513i | 0.223291 | + | 0.386751i | ||||
\(940\) | −6.43845 | + | 11.1517i | −0.209999 | + | 0.363729i | ||||
\(941\) | − | 30.4924i | − | 0.994025i | −0.867744 | − | 0.497012i | \(-0.834430\pi\) | ||
0.867744 | − | 0.497012i | \(-0.165570\pi\) | |||||||
\(942\) | −27.5463 | − | 15.9039i | −0.897508 | − | 0.518176i | ||||
\(943\) | 2.70469 | + | 1.56155i | 0.0880768 | + | 0.0508512i | ||||
\(944\) | 13.4773i | 0.438648i | ||||||||
\(945\) | 1.00000 | − | 1.73205i | 0.0325300 | − | 0.0563436i | ||||
\(946\) | 7.12311 | + | 12.3376i | 0.231592 | + | 0.401129i | ||||
\(947\) | −33.5486 | + | 19.3693i | −1.09018 | + | 0.629418i | −0.933626 | − | 0.358250i | \(-0.883373\pi\) |
−0.156559 | + | 0.987669i | \(0.550040\pi\) | |||||||
\(948\) | −2.38447 | −0.0774440 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −85.4773 | −2.77325 | ||||||||
\(951\) | −12.1711 | + | 7.02699i | −0.394675 | + | 0.227866i | ||||
\(952\) | 1.06913 | + | 1.85179i | 0.0346507 | + | 0.0600168i | ||||
\(953\) | 15.4924 | − | 26.8337i | 0.501849 | − | 0.869228i | −0.498149 | − | 0.867091i | \(-0.665987\pi\) |
0.999998 | − | 0.00213612i | \(-0.000679948\pi\) | |||||||
\(954\) | − | 1.06913i | − | 0.0346144i | ||||||
\(955\) | 28.1393 | + | 16.2462i | 0.910565 | + | 0.525715i | ||||
\(956\) | 9.63289 | + | 5.56155i | 0.311550 | + | 0.179873i | ||||
\(957\) | − | 13.3693i | − | 0.432169i | ||||||
\(958\) | 8.00000 | − | 13.8564i | 0.258468 | − | 0.447680i | ||||
\(959\) | −1.56155 | − | 2.70469i | −0.0504252 | − | 0.0873390i | ||||
\(960\) | −17.1540 | + | 9.90388i | −0.553644 | + | 0.319646i | ||||
\(961\) | 24.4384 | 0.788337 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.24621 | −0.265730 | ||||||||
\(964\) | 6.76172 | − | 3.90388i | 0.217780 | − | 0.125736i | ||||
\(965\) | −24.0270 | − | 41.6160i | −0.773456 | − | 1.33967i | ||||
\(966\) | −0.876894 | + | 1.51883i | −0.0282136 | + | 0.0488674i | ||||
\(967\) | 0.876894i | 0.0281990i | 0.999901 | + | 0.0140995i | \(0.00448816\pi\) | ||||
−0.999901 | + | 0.0140995i | \(0.995512\pi\) | |||||||
\(968\) | −14.7823 | − | 8.53457i | −0.475121 | − | 0.274311i | ||||
\(969\) | 9.63289 | + | 5.56155i | 0.309453 | + | 0.178663i | ||||
\(970\) | − | 47.6155i | − | 1.52884i | ||||||
\(971\) | 6.49242 | − | 11.2452i | 0.208352 | − | 0.360876i | −0.742844 | − | 0.669465i | \(-0.766523\pi\) |
0.951195 | + | 0.308589i | \(0.0998568\pi\) | |||||||
\(972\) | 0.219224 | + | 0.379706i | 0.00703160 | + | 0.0121791i | ||||
\(973\) | −8.72012 | + | 5.03457i | −0.279554 | + | 0.161401i | ||||
\(974\) | 11.1231 | 0.356407 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −18.1619 | −0.581349 | ||||||||
\(977\) | −52.9809 | + | 30.5885i | −1.69501 | + | 0.978614i | −0.744652 | + | 0.667453i | \(0.767385\pi\) |
−0.950357 | + | 0.311162i | \(0.899282\pi\) | |||||||
\(978\) | −3.75379 | − | 6.50175i | −0.120033 | − | 0.207903i | ||||
\(979\) | −4.87689 | + | 8.44703i | −0.155866 | + | 0.269968i | ||||
\(980\) | − | 10.4384i | − | 0.333444i | ||||||
\(981\) | −2.43160 | − | 1.40388i | −0.0776349 | − | 0.0448225i | ||||
\(982\) | −49.0174 | − | 28.3002i | −1.56421 | − | 0.903095i | ||||
\(983\) | 13.6155i | 0.434268i | 0.976142 | + | 0.217134i | \(0.0696708\pi\) | ||||
−0.976142 | + | 0.217134i | \(0.930329\pi\) | |||||||
\(984\) | 1.90388 | − | 3.29762i | 0.0606935 | − | 0.105124i | ||||
\(985\) | −23.8078 | − | 41.2363i | −0.758578 | − | 1.31390i | ||||
\(986\) | 14.1164 | − | 8.15009i | 0.449557 | − | 0.259552i | ||||
\(987\) | −4.63068 | −0.147396 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9.12311 | 0.290098 | ||||||||
\(990\) | 9.63289 | − | 5.56155i | 0.306153 | − | 0.176758i | ||||
\(991\) | 25.1771 | + | 43.6080i | 0.799776 | + | 1.38525i | 0.919762 | + | 0.392478i | \(0.128382\pi\) |
−0.119985 | + | 0.992776i | \(0.538285\pi\) | |||||||
\(992\) | 3.12311 | − | 5.40938i | 0.0991587 | − | 0.171748i | ||||
\(993\) | 3.19224i | 0.101303i | ||||||||
\(994\) | −10.6318 | − | 6.13826i | −0.337220 | − | 0.194694i | ||||
\(995\) | 68.4029 | + | 39.4924i | 2.16852 | + | 1.25199i | ||||
\(996\) | − | 0.384472i | − | 0.0121825i | ||||||
\(997\) | 10.3078 | − | 17.8536i | 0.326450 | − | 0.565428i | −0.655355 | − | 0.755321i | \(-0.727481\pi\) |
0.981805 | + | 0.189893i | \(0.0608141\pi\) | |||||||
\(998\) | −3.50758 | − | 6.07530i | −0.111030 | − | 0.192310i | ||||
\(999\) | 6.54850 | − | 3.78078i | 0.207185 | − | 0.119618i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))