Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(188,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.188");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.t (of order \(12\), degree \(4\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 657.3 | ||
Root | \(-0.131303i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.657 |
Dual form | 845.2.t.e.418.3 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.113711 | − | 0.0656513i | −0.0804061 | − | 0.0464225i | 0.459258 | − | 0.888303i | \(-0.348115\pi\) |
−0.539664 | + | 0.841881i | \(0.681449\pi\) | |||||||
\(3\) | −0.0890070 | − | 0.332179i | −0.0513882 | − | 0.191783i | 0.935460 | − | 0.353432i | \(-0.114985\pi\) |
−0.986848 | + | 0.161649i | \(0.948319\pi\) | |||||||
\(4\) | −0.991380 | − | 1.71712i | −0.495690 | − | 0.858560i | ||||
\(5\) | −2.08297 | − | 0.813169i | −0.931532 | − | 0.363660i | ||||
\(6\) | −0.0116869 | + | 0.0436159i | −0.00477114 | + | 0.0178061i | ||||
\(7\) | −1.39069 | − | 2.40874i | −0.525630 | − | 0.910418i | −0.999554 | − | 0.0298522i | \(-0.990496\pi\) |
0.473924 | − | 0.880566i | \(-0.342837\pi\) | |||||||
\(8\) | 0.522947i | 0.184890i | ||||||||
\(9\) | 2.49566 | − | 1.44087i | 0.831885 | − | 0.480289i | ||||
\(10\) | 0.183472 | + | 0.229216i | 0.0580188 | + | 0.0724845i | ||||
\(11\) | −1.04957 | − | 3.91706i | −0.316459 | − | 1.18104i | −0.922624 | − | 0.385701i | \(-0.873960\pi\) |
0.606165 | − | 0.795339i | \(-0.292707\pi\) | |||||||
\(12\) | −0.482151 | + | 0.482151i | −0.139185 | + | 0.139185i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0.365201i | 0.0976042i | ||||||||
\(15\) | −0.0847187 | + | 0.764295i | −0.0218743 | + | 0.197340i | ||||
\(16\) | −1.94843 | + | 3.37478i | −0.487107 | + | 0.843694i | ||||
\(17\) | 2.34186 | + | 0.627499i | 0.567984 | + | 0.152191i | 0.531372 | − | 0.847139i | \(-0.321677\pi\) |
0.0366120 | + | 0.999330i | \(0.488343\pi\) | |||||||
\(18\) | −0.378379 | −0.0891849 | ||||||||
\(19\) | 1.83459 | + | 0.491577i | 0.420883 | + | 0.112775i | 0.463044 | − | 0.886335i | \(-0.346757\pi\) |
−0.0421602 | + | 0.999111i | \(0.513424\pi\) | |||||||
\(20\) | 0.668703 | + | 4.38287i | 0.149527 | + | 0.980039i | ||||
\(21\) | −0.676351 | + | 0.676351i | −0.147592 | + | 0.147592i | ||||
\(22\) | −0.137812 | + | 0.514321i | −0.0293816 | + | 0.109654i | ||||
\(23\) | −7.70544 | + | 2.06467i | −1.60670 | + | 0.430513i | −0.947056 | − | 0.321069i | \(-0.895958\pi\) |
−0.659640 | + | 0.751582i | \(0.729291\pi\) | |||||||
\(24\) | 0.173712 | − | 0.0465459i | 0.0354588 | − | 0.00950115i | ||||
\(25\) | 3.67751 | + | 3.38761i | 0.735502 | + | 0.677522i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.43027 | − | 1.43027i | −0.275256 | − | 0.275256i | ||||
\(28\) | −2.75740 | + | 4.77595i | −0.521099 | + | 0.902570i | ||||
\(29\) | 3.96565 | + | 2.28957i | 0.736403 | + | 0.425162i | 0.820760 | − | 0.571273i | \(-0.193550\pi\) |
−0.0843571 | + | 0.996436i | \(0.526884\pi\) | |||||||
\(30\) | 0.0598105 | − | 0.0813472i | 0.0109198 | − | 0.0148519i | ||||
\(31\) | −3.87352 | − | 3.87352i | −0.695704 | − | 0.695704i | 0.267777 | − | 0.963481i | \(-0.413711\pi\) |
−0.963481 | + | 0.267777i | \(0.913711\pi\) | |||||||
\(32\) | 1.34889 | − | 0.778780i | 0.238452 | − | 0.137670i | ||||
\(33\) | −1.20775 | + | 0.697292i | −0.210242 | + | 0.121383i | ||||
\(34\) | −0.225100 | − | 0.225100i | −0.0386043 | − | 0.0386043i | ||||
\(35\) | 0.938043 | + | 6.14819i | 0.158558 | + | 1.03923i | ||||
\(36\) | −4.94829 | − | 2.85689i | −0.824714 | − | 0.476149i | ||||
\(37\) | −3.50510 | + | 6.07101i | −0.576234 | + | 0.998067i | 0.419672 | + | 0.907676i | \(0.362145\pi\) |
−0.995906 | + | 0.0903914i | \(0.971188\pi\) | |||||||
\(38\) | −0.176341 | − | 0.176341i | −0.0286063 | − | 0.0286063i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.425244 | − | 1.08928i | 0.0672370 | − | 0.172230i | ||||
\(41\) | −6.20184 | + | 1.66178i | −0.968565 | + | 0.259526i | −0.708222 | − | 0.705990i | \(-0.750502\pi\) |
−0.260343 | + | 0.965516i | \(0.583836\pi\) | |||||||
\(42\) | 0.121312 | − | 0.0325055i | 0.0187189 | − | 0.00501570i | ||||
\(43\) | 1.67299 | − | 6.24368i | 0.255128 | − | 0.952152i | −0.712891 | − | 0.701275i | \(-0.752614\pi\) |
0.968019 | − | 0.250877i | \(-0.0807189\pi\) | |||||||
\(44\) | −5.68554 | + | 5.68554i | −0.857128 | + | 0.857128i | ||||
\(45\) | −6.37004 | + | 0.971891i | −0.949590 | + | 0.144881i | ||||
\(46\) | 1.01174 | + | 0.271096i | 0.149174 | + | 0.0399709i | ||||
\(47\) | 0.512375 | 0.0747376 | 0.0373688 | − | 0.999302i | \(-0.488102\pi\) | ||||
0.0373688 | + | 0.999302i | \(0.488102\pi\) | |||||||
\(48\) | 1.29445 | + | 0.346847i | 0.186838 | + | 0.0500631i | ||||
\(49\) | −0.368015 | + | 0.637420i | −0.0525736 | + | 0.0910601i | ||||
\(50\) | −0.195774 | − | 0.626643i | −0.0276866 | − | 0.0886207i | ||||
\(51\) | − | 0.833767i | − | 0.116751i | ||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.32662 | + | 1.32662i | −0.182225 | + | 0.182225i | −0.792325 | − | 0.610100i | \(-0.791129\pi\) |
0.610100 | + | 0.792325i | \(0.291129\pi\) | |||||||
\(54\) | 0.0687390 | + | 0.256537i | 0.00935419 | + | 0.0349103i | ||||
\(55\) | −0.999006 | + | 9.01260i | −0.134706 | + | 1.21526i | ||||
\(56\) | 1.25964 | − | 0.727255i | 0.168327 | − | 0.0971835i | ||||
\(57\) | − | 0.653165i | − | 0.0865138i | ||||||
\(58\) | −0.300626 | − | 0.520700i | −0.0394742 | − | 0.0683713i | ||||
\(59\) | 0.679700 | − | 2.53667i | 0.0884894 | − | 0.330247i | −0.907463 | − | 0.420133i | \(-0.861984\pi\) |
0.995952 | + | 0.0898858i | \(0.0286502\pi\) | |||||||
\(60\) | 1.39638 | − | 0.612235i | 0.180271 | − | 0.0790392i | ||||
\(61\) | 0.641767 | + | 1.11157i | 0.0821698 | + | 0.142322i | 0.904182 | − | 0.427148i | \(-0.140482\pi\) |
−0.822012 | + | 0.569470i | \(0.807148\pi\) | |||||||
\(62\) | 0.186162 | + | 0.694764i | 0.0236425 | + | 0.0882352i | ||||
\(63\) | −6.94135 | − | 4.00759i | −0.874528 | − | 0.504909i | ||||
\(64\) | 7.58920 | 0.948650 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.183113 | 0.0225396 | ||||||||
\(67\) | 3.13180 | + | 1.80814i | 0.382610 | + | 0.220900i | 0.678953 | − | 0.734181i | \(-0.262434\pi\) |
−0.296343 | + | 0.955082i | \(0.595767\pi\) | |||||||
\(68\) | −1.24418 | − | 4.64334i | −0.150879 | − | 0.563088i | ||||
\(69\) | 1.37168 | + | 2.37581i | 0.165130 | + | 0.286014i | ||||
\(70\) | 0.296970 | − | 0.760703i | 0.0354948 | − | 0.0909214i | ||||
\(71\) | −1.66343 | + | 6.20800i | −0.197413 | + | 0.736754i | 0.794216 | + | 0.607635i | \(0.207882\pi\) |
−0.991629 | + | 0.129119i | \(0.958785\pi\) | |||||||
\(72\) | 0.753497 | + | 1.30509i | 0.0888005 | + | 0.153807i | ||||
\(73\) | 9.93250i | 1.16251i | 0.813721 | + | 0.581256i | \(0.197438\pi\) | ||||
−0.813721 | + | 0.581256i | \(0.802562\pi\) | |||||||
\(74\) | 0.797139 | − | 0.460228i | 0.0926655 | − | 0.0535005i | ||||
\(75\) | 0.797968 | − | 1.52311i | 0.0921414 | − | 0.175874i | ||||
\(76\) | −0.974678 | − | 3.63755i | −0.111803 | − | 0.417255i | ||||
\(77\) | −7.97556 | + | 7.97556i | −0.908899 | + | 0.908899i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 8.37577i | − | 0.942347i | −0.882040 | − | 0.471174i | \(-0.843831\pi\) | ||
0.882040 | − | 0.471174i | \(-0.156169\pi\) | |||||||
\(80\) | 6.80278 | − | 5.44515i | 0.760573 | − | 0.608786i | ||||
\(81\) | 3.97480 | − | 6.88456i | 0.441645 | − | 0.764951i | ||||
\(82\) | 0.814318 | + | 0.218196i | 0.0899264 | + | 0.0240957i | ||||
\(83\) | −3.17194 | −0.348166 | −0.174083 | − | 0.984731i | \(-0.555696\pi\) | ||||
−0.174083 | + | 0.984731i | \(0.555696\pi\) | |||||||
\(84\) | 1.83190 | + | 0.490855i | 0.199876 | + | 0.0535567i | ||||
\(85\) | −4.36775 | − | 3.21139i | −0.473749 | − | 0.348324i | ||||
\(86\) | −0.600143 | + | 0.600143i | −0.0647151 | + | 0.0647151i | ||||
\(87\) | 0.407576 | − | 1.52109i | 0.0436967 | − | 0.163078i | ||||
\(88\) | 2.04842 | − | 0.548871i | 0.218362 | − | 0.0585099i | ||||
\(89\) | 6.01705 | − | 1.61226i | 0.637806 | − | 0.170900i | 0.0745967 | − | 0.997214i | \(-0.476233\pi\) |
0.563210 | + | 0.826314i | \(0.309566\pi\) | |||||||
\(90\) | 0.788152 | + | 0.307686i | 0.0830785 | + | 0.0324330i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 11.1843 | + | 11.1843i | 1.16604 | + | 1.16604i | ||||
\(93\) | −0.941930 | + | 1.63147i | −0.0976736 | + | 0.169176i | ||||
\(94\) | −0.0582629 | − | 0.0336381i | −0.00600936 | − | 0.00346951i | ||||
\(95\) | −3.42165 | − | 2.51577i | −0.351054 | − | 0.258112i | ||||
\(96\) | −0.378755 | − | 0.378755i | −0.0386565 | − | 0.0386565i | ||||
\(97\) | 10.1931 | − | 5.88500i | 1.03495 | − | 0.597531i | 0.116554 | − | 0.993184i | \(-0.462815\pi\) |
0.918400 | + | 0.395654i | \(0.129482\pi\) | |||||||
\(98\) | 0.0836950 | − | 0.0483213i | 0.00845447 | − | 0.00488119i | ||||
\(99\) | −8.26335 | − | 8.26335i | −0.830498 | − | 0.830498i | ||||
\(100\) | 2.17112 | − | 9.67314i | 0.217112 | − | 0.967314i | ||||
\(101\) | −0.873807 | − | 0.504493i | −0.0869471 | − | 0.0501989i | 0.455896 | − | 0.890033i | \(-0.349319\pi\) |
−0.542843 | + | 0.839834i | \(0.682652\pi\) | |||||||
\(102\) | −0.0547379 | + | 0.0948088i | −0.00541986 | + | 0.00938747i | ||||
\(103\) | −6.00002 | − | 6.00002i | −0.591200 | − | 0.591200i | 0.346756 | − | 0.937955i | \(-0.387283\pi\) |
−0.937955 | + | 0.346756i | \(0.887283\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.95880 | − | 0.858830i | 0.191160 | − | 0.0838132i | ||||
\(106\) | 0.237946 | − | 0.0637574i | 0.0231113 | − | 0.00619267i | ||||
\(107\) | −4.78678 | + | 1.28261i | −0.462755 | + | 0.123995i | −0.482662 | − | 0.875807i | \(-0.660330\pi\) |
0.0199063 | + | 0.999802i | \(0.493663\pi\) | |||||||
\(108\) | −1.03801 | + | 3.87389i | −0.0998821 | + | 0.372765i | ||||
\(109\) | 6.51002 | − | 6.51002i | 0.623546 | − | 0.623546i | −0.322890 | − | 0.946436i | \(-0.604654\pi\) |
0.946436 | + | 0.322890i | \(0.104654\pi\) | |||||||
\(110\) | 0.705287 | − | 0.959249i | 0.0672465 | − | 0.0914608i | ||||
\(111\) | 2.32864 | + | 0.623956i | 0.221024 | + | 0.0592233i | ||||
\(112\) | 10.8386 | 1.02415 | ||||||||
\(113\) | −7.24731 | − | 1.94191i | −0.681769 | − | 0.182680i | −0.0987188 | − | 0.995115i | \(-0.531474\pi\) |
−0.583051 | + | 0.812436i | \(0.698141\pi\) | |||||||
\(114\) | −0.0428811 | + | 0.0742723i | −0.00401619 | + | 0.00695624i | ||||
\(115\) | 17.7291 | + | 1.96519i | 1.65325 | + | 0.183255i | ||||
\(116\) | − | 9.07933i | − | 0.842995i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.243826 | + | 0.243826i | −0.0224460 | + | 0.0224460i | ||||
\(119\) | −1.74531 | − | 6.51358i | −0.159992 | − | 0.597099i | ||||
\(120\) | −0.399686 | − | 0.0443033i | −0.0364861 | − | 0.00404432i | ||||
\(121\) | −4.71551 | + | 2.72250i | −0.428683 | + | 0.247500i | ||||
\(122\) | − | 0.168531i | − | 0.0152581i | ||||||
\(123\) | 1.10402 | + | 1.91221i | 0.0995457 | + | 0.172418i | ||||
\(124\) | −2.81117 | + | 10.4914i | −0.252450 | + | 0.942157i | ||||
\(125\) | −4.90544 | − | 10.0467i | −0.438756 | − | 0.898606i | ||||
\(126\) | 0.526207 | + | 0.911417i | 0.0468782 | + | 0.0811955i | ||||
\(127\) | 4.28310 | + | 15.9847i | 0.380064 | + | 1.41842i | 0.845803 | + | 0.533495i | \(0.179122\pi\) |
−0.465739 | + | 0.884922i | \(0.654212\pi\) | |||||||
\(128\) | −3.56075 | − | 2.05580i | −0.314729 | − | 0.181709i | ||||
\(129\) | −2.22292 | −0.195718 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.6880 | −1.10856 | −0.554278 | − | 0.832332i | \(-0.687006\pi\) | ||||
−0.554278 | + | 0.832332i | \(0.687006\pi\) | |||||||
\(132\) | 2.39467 | + | 1.38256i | 0.208429 | + | 0.120337i | ||||
\(133\) | −1.36726 | − | 5.10267i | −0.118556 | − | 0.442458i | ||||
\(134\) | −0.237414 | − | 0.411213i | −0.0205095 | − | 0.0355234i | ||||
\(135\) | 1.81616 | + | 4.14226i | 0.156310 | + | 0.356509i | ||||
\(136\) | −0.328148 | + | 1.22467i | −0.0281385 | + | 0.105014i | ||||
\(137\) | −7.47254 | − | 12.9428i | −0.638422 | − | 1.10578i | −0.985779 | − | 0.168046i | \(-0.946254\pi\) |
0.347357 | − | 0.937733i | \(-0.387079\pi\) | |||||||
\(138\) | − | 0.360209i | − | 0.0306631i | ||||||
\(139\) | −7.42380 | + | 4.28613i | −0.629679 | + | 0.363545i | −0.780628 | − | 0.624996i | \(-0.785100\pi\) |
0.150949 | + | 0.988542i | \(0.451767\pi\) | |||||||
\(140\) | 9.62722 | − | 7.70592i | 0.813649 | − | 0.651269i | ||||
\(141\) | −0.0456050 | − | 0.170200i | −0.00384063 | − | 0.0143334i | ||||
\(142\) | 0.596714 | − | 0.596714i | 0.0500751 | − | 0.0500751i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 11.2297i | 0.935809i | ||||||||
\(145\) | −6.39852 | − | 7.99385i | −0.531368 | − | 0.663853i | ||||
\(146\) | 0.652082 | − | 1.12944i | 0.0539666 | − | 0.0934730i | ||||
\(147\) | 0.244493 | + | 0.0655118i | 0.0201655 | + | 0.00540332i | ||||
\(148\) | 13.8995 | 1.14253 | ||||||||
\(149\) | −11.7276 | − | 3.14239i | −0.960759 | − | 0.257435i | −0.255837 | − | 0.966720i | \(-0.582351\pi\) |
−0.704922 | + | 0.709285i | \(0.749018\pi\) | |||||||
\(150\) | −0.190732 | + | 0.120808i | −0.0155732 | + | 0.00986390i | ||||
\(151\) | −1.86999 | + | 1.86999i | −0.152177 | + | 0.152177i | −0.779090 | − | 0.626912i | \(-0.784318\pi\) |
0.626912 | + | 0.779090i | \(0.284318\pi\) | |||||||
\(152\) | −0.257068 | + | 0.959392i | −0.0208510 | + | 0.0778170i | ||||
\(153\) | 6.74861 | − | 1.80829i | 0.545593 | − | 0.146191i | ||||
\(154\) | 1.43052 | − | 0.383306i | 0.115274 | − | 0.0308877i | ||||
\(155\) | 4.91859 | + | 11.2182i | 0.395071 | + | 0.901071i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.3194 | − | 10.3194i | −0.823581 | − | 0.823581i | 0.163039 | − | 0.986620i | \(-0.447870\pi\) |
−0.986620 | + | 0.163039i | \(0.947870\pi\) | |||||||
\(158\) | −0.549880 | + | 0.952420i | −0.0437461 | + | 0.0757705i | ||||
\(159\) | 0.558753 | + | 0.322596i | 0.0443120 | + | 0.0255835i | ||||
\(160\) | −3.44297 | + | 0.525301i | −0.272191 | + | 0.0415287i | ||||
\(161\) | 15.6891 | + | 15.6891i | 1.23647 | + | 1.23647i | ||||
\(162\) | −0.903960 | + | 0.521902i | −0.0710218 | + | 0.0410045i | ||||
\(163\) | 16.1907 | − | 9.34772i | 1.26815 | − | 0.732170i | 0.293516 | − | 0.955954i | \(-0.405174\pi\) |
0.974639 | + | 0.223784i | \(0.0718412\pi\) | |||||||
\(164\) | 9.00186 | + | 9.00186i | 0.702927 | + | 0.702927i | ||||
\(165\) | 3.08271 | − | 0.470336i | 0.239989 | − | 0.0366156i | ||||
\(166\) | 0.360686 | + | 0.208242i | 0.0279947 | + | 0.0161627i | ||||
\(167\) | −10.3389 | + | 17.9075i | −0.800049 | + | 1.38572i | 0.119535 | + | 0.992830i | \(0.461860\pi\) |
−0.919583 | + | 0.392895i | \(0.871474\pi\) | |||||||
\(168\) | −0.353695 | − | 0.353695i | −0.0272882 | − | 0.0272882i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0.285831 | + | 0.651920i | 0.0219223 | + | 0.0500000i | ||||
\(171\) | 5.28680 | − | 1.41659i | 0.404292 | − | 0.108330i | ||||
\(172\) | −12.3797 | + | 3.31713i | −0.943944 | + | 0.252929i | ||||
\(173\) | −4.69655 | + | 17.5278i | −0.357072 | + | 1.33261i | 0.520784 | + | 0.853688i | \(0.325640\pi\) |
−0.877856 | + | 0.478924i | \(0.841027\pi\) | |||||||
\(174\) | −0.146208 | + | 0.146208i | −0.0110840 | + | 0.0110840i | ||||
\(175\) | 3.04560 | − | 13.5693i | 0.230226 | − | 1.02574i | ||||
\(176\) | 15.2642 | + | 4.09004i | 1.15058 | + | 0.308298i | ||||
\(177\) | −0.903127 | −0.0678832 | ||||||||
\(178\) | −0.790055 | − | 0.211694i | −0.0592171 | − | 0.0158672i | ||||
\(179\) | 8.68110 | − | 15.0361i | 0.648856 | − | 1.12385i | −0.334540 | − | 0.942382i | \(-0.608581\pi\) |
0.983396 | − | 0.181470i | \(-0.0580857\pi\) | |||||||
\(180\) | 7.98398 | + | 9.97461i | 0.595091 | + | 0.743464i | ||||
\(181\) | − | 24.9284i | − | 1.85291i | −0.376406 | − | 0.926455i | \(-0.622840\pi\) | ||
0.376406 | − | 0.926455i | \(-0.377160\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.312119 | − | 0.312119i | 0.0230725 | − | 0.0230725i | ||||
\(184\) | −1.07971 | − | 4.02953i | −0.0795973 | − | 0.297061i | ||||
\(185\) | 12.2378 | − | 9.79548i | 0.899738 | − | 0.720178i | ||||
\(186\) | 0.214216 | − | 0.123678i | 0.0157071 | − | 0.00906850i | ||||
\(187\) | − | 9.83181i | − | 0.718973i | ||||||
\(188\) | −0.507958 | − | 0.879810i | −0.0370467 | − | 0.0641667i | ||||
\(189\) | −1.45609 | + | 5.43421i | −0.105915 | + | 0.395280i | ||||
\(190\) | 0.223918 | + | 0.510708i | 0.0162447 | + | 0.0370506i | ||||
\(191\) | −3.39354 | − | 5.87779i | −0.245548 | − | 0.425302i | 0.716737 | − | 0.697343i | \(-0.245635\pi\) |
−0.962286 | + | 0.272041i | \(0.912301\pi\) | |||||||
\(192\) | −0.675492 | − | 2.52097i | −0.0487494 | − | 0.181935i | ||||
\(193\) | −1.03504 | − | 0.597582i | −0.0745040 | − | 0.0430149i | 0.462285 | − | 0.886731i | \(-0.347030\pi\) |
−0.536789 | + | 0.843716i | \(0.680363\pi\) | |||||||
\(194\) | −1.54543 | −0.110955 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.45937 | 0.104241 | ||||||||
\(197\) | 17.4253 | + | 10.0605i | 1.24150 | + | 0.716780i | 0.969399 | − | 0.245489i | \(-0.0789486\pi\) |
0.272100 | + | 0.962269i | \(0.412282\pi\) | |||||||
\(198\) | 0.397137 | + | 1.48214i | 0.0282233 | + | 0.105331i | ||||
\(199\) | −1.08885 | − | 1.88594i | −0.0771862 | − | 0.133690i | 0.824849 | − | 0.565354i | \(-0.191260\pi\) |
−0.902035 | + | 0.431663i | \(0.857927\pi\) | |||||||
\(200\) | −1.77154 | + | 1.92314i | −0.125267 | + | 0.135987i | ||||
\(201\) | 0.321875 | − | 1.20125i | 0.0227033 | − | 0.0847299i | ||||
\(202\) | 0.0662412 | + | 0.114733i | 0.00466071 | + | 0.00807259i | ||||
\(203\) | − | 12.7363i | − | 0.893912i | ||||||
\(204\) | −1.43168 | + | 0.826580i | −0.100237 | + | 0.0578721i | ||||
\(205\) | 14.2695 | + | 1.58171i | 0.996629 | + | 0.110472i | ||||
\(206\) | 0.288362 | + | 1.07618i | 0.0200911 | + | 0.0749810i | ||||
\(207\) | −16.2552 | + | 16.2552i | −1.12982 | + | 1.12982i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 7.70215i | − | 0.532769i | ||||||
\(210\) | −0.279122 | − | 0.0309394i | −0.0192612 | − | 0.00213502i | ||||
\(211\) | 9.97642 | − | 17.2797i | 0.686805 | − | 1.18958i | −0.286061 | − | 0.958211i | \(-0.592346\pi\) |
0.972866 | − | 0.231370i | \(-0.0743208\pi\) | |||||||
\(212\) | 3.59315 | + | 0.962781i | 0.246778 | + | 0.0661240i | ||||
\(213\) | 2.21022 | 0.151442 | ||||||||
\(214\) | 0.628516 | + | 0.168410i | 0.0429645 | + | 0.0115123i | ||||
\(215\) | −8.56195 | + | 11.6450i | −0.583920 | + | 0.794179i | ||||
\(216\) | 0.747956 | − | 0.747956i | 0.0508919 | − | 0.0508919i | ||||
\(217\) | −3.94345 | + | 14.7171i | −0.267698 | + | 0.999064i | ||||
\(218\) | −1.16765 | + | 0.312872i | −0.0790835 | + | 0.0211904i | ||||
\(219\) | 3.29936 | − | 0.884062i | 0.222950 | − | 0.0597394i | ||||
\(220\) | 16.4661 | − | 7.21950i | 1.11015 | − | 0.486738i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −0.223829 | − | 0.223829i | −0.0150224 | − | 0.0150224i | ||||
\(223\) | 6.70672 | − | 11.6164i | 0.449115 | − | 0.777891i | −0.549213 | − | 0.835682i | \(-0.685073\pi\) |
0.998329 | + | 0.0577915i | \(0.0184059\pi\) | |||||||
\(224\) | −3.75176 | − | 2.16608i | −0.250675 | − | 0.144727i | ||||
\(225\) | 14.0589 | + | 3.15550i | 0.937260 | + | 0.210367i | ||||
\(226\) | 0.696612 | + | 0.696612i | 0.0463380 | + | 0.0463380i | ||||
\(227\) | −12.7144 | + | 7.34064i | −0.843882 | + | 0.487215i | −0.858582 | − | 0.512677i | \(-0.828654\pi\) |
0.0147000 | + | 0.999892i | \(0.495321\pi\) | |||||||
\(228\) | −1.12156 | + | 0.647535i | −0.0742773 | + | 0.0428840i | ||||
\(229\) | −2.65280 | − | 2.65280i | −0.175302 | − | 0.175302i | 0.614002 | − | 0.789304i | \(-0.289558\pi\) |
−0.789304 | + | 0.614002i | \(0.789558\pi\) | |||||||
\(230\) | −1.88698 | − | 1.38740i | −0.124424 | − | 0.0914827i | ||||
\(231\) | 3.35919 | + | 1.93943i | 0.221018 | + | 0.127605i | ||||
\(232\) | −1.19732 | + | 2.07382i | −0.0786081 | + | 0.136153i | ||||
\(233\) | −13.9459 | − | 13.9459i | −0.913629 | − | 0.913629i | 0.0829267 | − | 0.996556i | \(-0.473573\pi\) |
−0.996556 | + | 0.0829267i | \(0.973573\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.06726 | − | 0.416648i | −0.0696205 | − | 0.0271791i | ||||
\(236\) | −5.02962 | + | 1.34768i | −0.327400 | + | 0.0877266i | ||||
\(237\) | −2.78225 | + | 0.745502i | −0.180727 | + | 0.0484256i | ||||
\(238\) | −0.229163 | + | 0.855249i | −0.0148545 | + | 0.0554376i | ||||
\(239\) | 10.1890 | − | 10.1890i | 0.659074 | − | 0.659074i | −0.296087 | − | 0.955161i | \(-0.595682\pi\) |
0.955161 | + | 0.296087i | \(0.0956818\pi\) | |||||||
\(240\) | −2.41426 | − | 1.77508i | −0.155840 | − | 0.114581i | ||||
\(241\) | −7.82799 | − | 2.09750i | −0.504245 | − | 0.135112i | −0.00227574 | − | 0.999997i | \(-0.500724\pi\) |
−0.501970 | + | 0.864885i | \(0.667391\pi\) | |||||||
\(242\) | 0.714943 | 0.0459582 | ||||||||
\(243\) | −8.50205 | − | 2.27812i | −0.545407 | − | 0.146141i | ||||
\(244\) | 1.27247 | − | 2.20398i | 0.0814615 | − | 0.141095i | ||||
\(245\) | 1.28489 | − | 1.02847i | 0.0820889 | − | 0.0657064i | ||||
\(246\) | − | 0.289920i | − | 0.0184846i | ||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.02564 | − | 2.02564i | 0.128628 | − | 0.128628i | ||||
\(249\) | 0.282325 | + | 1.05365i | 0.0178916 | + | 0.0667725i | ||||
\(250\) | −0.101776 | + | 1.46448i | −0.00643688 | + | 0.0926215i | ||||
\(251\) | 4.04904 | − | 2.33771i | 0.255573 | − | 0.147555i | −0.366740 | − | 0.930323i | \(-0.619526\pi\) |
0.622313 | + | 0.782768i | \(0.286193\pi\) | |||||||
\(252\) | 15.8922i | 1.00111i | ||||||||
\(253\) | 16.1749 | + | 28.0157i | 1.01690 | + | 1.76133i | ||||
\(254\) | 0.562382 | − | 2.09884i | 0.0352870 | − | 0.131693i | ||||
\(255\) | −0.677993 | + | 1.73671i | −0.0424576 | + | 0.108757i | ||||
\(256\) | −7.31927 | − | 12.6773i | −0.457454 | − | 0.792334i | ||||
\(257\) | 4.49187 | + | 16.7639i | 0.280195 | + | 1.04570i | 0.952280 | + | 0.305227i | \(0.0987324\pi\) |
−0.672085 | + | 0.740474i | \(0.734601\pi\) | |||||||
\(258\) | 0.252772 | + | 0.145938i | 0.0157369 | + | 0.00908569i | ||||
\(259\) | 19.4980 | 1.21154 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 13.1959 | 0.816804 | ||||||||
\(262\) | 1.44277 | + | 0.832984i | 0.0891346 | + | 0.0514619i | ||||
\(263\) | 0.626777 | + | 2.33916i | 0.0386487 | + | 0.144239i | 0.982554 | − | 0.185977i | \(-0.0595450\pi\) |
−0.943905 | + | 0.330216i | \(0.892878\pi\) | |||||||
\(264\) | −0.364647 | − | 0.631587i | −0.0224425 | − | 0.0388715i | ||||
\(265\) | 3.84207 | − | 1.68454i | 0.236016 | − | 0.103480i | ||||
\(266\) | −0.179524 | + | 0.669994i | −0.0110073 | + | 0.0410800i | ||||
\(267\) | −1.07112 | − | 1.85523i | −0.0655515 | − | 0.113538i | ||||
\(268\) | − | 7.17023i | − | 0.437992i | ||||||
\(269\) | 8.42829 | − | 4.86608i | 0.513882 | − | 0.296690i | −0.220546 | − | 0.975377i | \(-0.570784\pi\) |
0.734428 | + | 0.678687i | \(0.237451\pi\) | |||||||
\(270\) | 0.0654271 | − | 0.590255i | 0.00398177 | − | 0.0359218i | ||||
\(271\) | −5.67269 | − | 21.1708i | −0.344591 | − | 1.28603i | −0.893089 | − | 0.449880i | \(-0.851467\pi\) |
0.548498 | − | 0.836152i | \(-0.315200\pi\) | |||||||
\(272\) | −6.68061 | + | 6.68061i | −0.405071 | + | 0.405071i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.96233i | 0.118548i | ||||||||
\(275\) | 9.40967 | − | 17.9606i | 0.567424 | − | 1.08306i | ||||
\(276\) | 2.71970 | − | 4.71067i | 0.163707 | − | 0.283549i | ||||
\(277\) | −17.4408 | − | 4.67325i | −1.04792 | − | 0.280788i | −0.306526 | − | 0.951862i | \(-0.599167\pi\) |
−0.741390 | + | 0.671074i | \(0.765833\pi\) | |||||||
\(278\) | 1.12556 | 0.0675067 | ||||||||
\(279\) | −15.2482 | − | 4.08574i | −0.912885 | − | 0.244607i | ||||
\(280\) | −3.21517 | + | 0.490546i | −0.192143 | + | 0.0293157i | ||||
\(281\) | −11.3739 | + | 11.3739i | −0.678510 | + | 0.678510i | −0.959663 | − | 0.281153i | \(-0.909283\pi\) |
0.281153 | + | 0.959663i | \(0.409283\pi\) | |||||||
\(282\) | −0.00598805 | + | 0.0223477i | −0.000356583 | + | 0.00133079i | ||||
\(283\) | −10.9682 | + | 2.93892i | −0.651991 | + | 0.174700i | −0.569629 | − | 0.821902i | \(-0.692913\pi\) |
−0.0823620 | + | 0.996602i | \(0.526246\pi\) | |||||||
\(284\) | 12.3090 | − | 3.29818i | 0.730403 | − | 0.195711i | ||||
\(285\) | −0.531134 | + | 1.36052i | −0.0314616 | + | 0.0805904i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.6276 | + | 12.6276i | 0.745384 | + | 0.745384i | ||||
\(288\) | 2.24424 | − | 3.88713i | 0.132243 | − | 0.229052i | ||||
\(289\) | −9.63189 | − | 5.56098i | −0.566582 | − | 0.327116i | ||||
\(290\) | 0.202778 | + | 1.32906i | 0.0119075 | + | 0.0780452i | ||||
\(291\) | −2.86213 | − | 2.86213i | −0.167781 | − | 0.167781i | ||||
\(292\) | 17.0553 | − | 9.84688i | 0.998086 | − | 0.576245i | ||||
\(293\) | 0.605883 | − | 0.349807i | 0.0353961 | − | 0.0204359i | −0.482198 | − | 0.876063i | \(-0.660161\pi\) |
0.517594 | + | 0.855627i | \(0.326828\pi\) | |||||||
\(294\) | −0.0235007 | − | 0.0235007i | −0.00137059 | − | 0.00137059i | ||||
\(295\) | −3.47854 | + | 4.73110i | −0.202528 | + | 0.275455i | ||||
\(296\) | −3.17481 | − | 1.83298i | −0.184532 | − | 0.106540i | ||||
\(297\) | −4.10129 | + | 7.10364i | −0.237981 | + | 0.412195i | ||||
\(298\) | 1.12725 | + | 1.12725i | 0.0653001 | + | 0.0653001i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −3.40646 | + | 0.139776i | −0.196672 | + | 0.00806999i | ||||
\(301\) | −17.3660 | + | 4.65320i | −1.00096 | + | 0.268206i | ||||
\(302\) | 0.335406 | − | 0.0898718i | 0.0193004 | − | 0.00517154i | ||||
\(303\) | −0.0898068 | + | 0.335163i | −0.00515926 | + | 0.0192546i | ||||
\(304\) | −5.23352 | + | 5.23352i | −0.300163 | + | 0.300163i | ||||
\(305\) | −0.432883 | − | 2.83724i | −0.0247868 | − | 0.162460i | ||||
\(306\) | −0.886110 | − | 0.237433i | −0.0506555 | − | 0.0135731i | ||||
\(307\) | 14.2048 | 0.810709 | 0.405355 | − | 0.914159i | \(-0.367148\pi\) | ||||
0.405355 | + | 0.914159i | \(0.367148\pi\) | |||||||
\(308\) | 21.6018 | + | 5.78818i | 1.23088 | + | 0.329812i | ||||
\(309\) | −1.45904 | + | 2.52712i | −0.0830016 | + | 0.143763i | ||||
\(310\) | 0.177192 | − | 1.59855i | 0.0100638 | − | 0.0907917i | ||||
\(311\) | 21.4961i | 1.21893i | 0.792812 | + | 0.609466i | \(0.208616\pi\) | ||||
−0.792812 | + | 0.609466i | \(0.791384\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.36303 | + | 9.36303i | −0.529230 | + | 0.529230i | −0.920343 | − | 0.391113i | \(-0.872090\pi\) |
0.391113 | + | 0.920343i | \(0.372090\pi\) | |||||||
\(314\) | 0.495953 | + | 1.85092i | 0.0279882 | + | 0.104454i | ||||
\(315\) | 11.1998 | + | 13.9922i | 0.631035 | + | 0.788369i | ||||
\(316\) | −14.3822 | + | 8.30357i | −0.809062 | + | 0.467112i | ||||
\(317\) | − | 17.3024i | − | 0.971798i | −0.874015 | − | 0.485899i | \(-0.838492\pi\) | ||
0.874015 | − | 0.485899i | \(-0.161508\pi\) | |||||||
\(318\) | −0.0423577 | − | 0.0733657i | −0.00237530 | − | 0.00411414i | ||||
\(319\) | 4.80615 | − | 17.9368i | 0.269093 | − | 1.00427i | ||||
\(320\) | −15.8081 | − | 6.17130i | −0.883697 | − | 0.344986i | ||||
\(321\) | 0.852114 | + | 1.47590i | 0.0475603 | + | 0.0823769i | ||||
\(322\) | −0.754019 | − | 2.81404i | −0.0420198 | − | 0.156820i | ||||
\(323\) | 3.98788 | + | 2.30240i | 0.221892 | + | 0.128109i | ||||
\(324\) | −15.7622 | −0.875675 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.45476 | −0.135957 | ||||||||
\(327\) | −2.74193 | − | 1.58305i | −0.151629 | − | 0.0875429i | ||||
\(328\) | −0.869022 | − | 3.24323i | −0.0479837 | − | 0.179078i | ||||
\(329\) | −0.712553 | − | 1.23418i | −0.0392843 | − | 0.0680424i | ||||
\(330\) | −0.381418 | − | 0.148901i | −0.0209964 | − | 0.00819676i | ||||
\(331\) | 4.65090 | − | 17.3574i | 0.255637 | − | 0.954049i | −0.712099 | − | 0.702079i | \(-0.752255\pi\) |
0.967735 | − | 0.251969i | \(-0.0810782\pi\) | |||||||
\(332\) | 3.14460 | + | 5.44661i | 0.172582 | + | 0.298921i | ||||
\(333\) | 20.2015i | 1.10704i | ||||||||
\(334\) | 2.35130 | − | 1.35753i | 0.128658 | − | 0.0742805i | ||||
\(335\) | −5.05311 | − | 6.31299i | −0.276081 | − | 0.344915i | ||||
\(336\) | −0.964712 | − | 3.60035i | −0.0526293 | − | 0.196415i | ||||
\(337\) | 4.83668 | − | 4.83668i | 0.263471 | − | 0.263471i | −0.562992 | − | 0.826462i | \(-0.690350\pi\) |
0.826462 | + | 0.562992i | \(0.190350\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.58024i | 0.140140i | ||||||||
\(340\) | −1.18423 | + | 10.6837i | −0.0642242 | + | 0.579403i | ||||
\(341\) | −11.1073 | + | 19.2384i | −0.601493 | + | 1.04182i | ||||
\(342\) | −0.694170 | − | 0.186002i | −0.0375364 | − | 0.0100579i | ||||
\(343\) | −17.4224 | −0.940723 | ||||||||
\(344\) | 3.26511 | + | 0.874884i | 0.176043 | + | 0.0471706i | ||||
\(345\) | −0.925220 | − | 6.06415i | −0.0498122 | − | 0.326483i | ||||
\(346\) | 1.68477 | − | 1.68477i | 0.0905740 | − | 0.0905740i | ||||
\(347\) | 4.81456 | − | 17.9682i | 0.258459 | − | 0.964582i | −0.707674 | − | 0.706539i | \(-0.750256\pi\) |
0.966133 | − | 0.258043i | \(-0.0830778\pi\) | |||||||
\(348\) | −3.01596 | + | 0.808124i | −0.161672 | + | 0.0433200i | ||||
\(349\) | 2.43126 | − | 0.651455i | 0.130143 | − | 0.0348716i | −0.193160 | − | 0.981167i | \(-0.561874\pi\) |
0.323302 | + | 0.946296i | \(0.395207\pi\) | |||||||
\(350\) | −1.23716 | + | 1.34303i | −0.0661290 | + | 0.0717881i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.46629 | − | 4.46629i | −0.238054 | − | 0.238054i | ||||
\(353\) | −16.3608 | + | 28.3377i | −0.870795 | + | 1.50826i | −0.00962005 | + | 0.999954i | \(0.503062\pi\) |
−0.861175 | + | 0.508308i | \(0.830271\pi\) | |||||||
\(354\) | 0.102696 | + | 0.0592915i | 0.00545822 | + | 0.00315131i | ||||
\(355\) | 8.51302 | − | 11.5784i | 0.451824 | − | 0.614519i | ||||
\(356\) | −8.73364 | − | 8.73364i | −0.462882 | − | 0.462882i | ||||
\(357\) | −2.00833 | + | 1.15951i | −0.106292 | + | 0.0613677i | ||||
\(358\) | −1.97428 | + | 1.13985i | −0.104344 | + | 0.0602430i | ||||
\(359\) | 0.699684 | + | 0.699684i | 0.0369279 | + | 0.0369279i | 0.725330 | − | 0.688402i | \(-0.241687\pi\) |
−0.688402 | + | 0.725330i | \(0.741687\pi\) | |||||||
\(360\) | −0.508247 | − | 3.33119i | −0.0267870 | − | 0.175569i | ||||
\(361\) | −13.3304 | − | 7.69632i | −0.701601 | − | 0.405069i | ||||
\(362\) | −1.63658 | + | 2.83464i | −0.0860167 | + | 0.148985i | ||||
\(363\) | 1.32407 | + | 1.32407i | 0.0694956 | + | 0.0694956i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.07680 | − | 20.6891i | 0.422759 | − | 1.08292i | ||||
\(366\) | −0.0559825 | + | 0.0150005i | −0.00292625 | + | 0.000784087i | ||||
\(367\) | −13.9803 | + | 3.74601i | −0.729767 | + | 0.195540i | −0.604525 | − | 0.796586i | \(-0.706637\pi\) |
−0.125241 | + | 0.992126i | \(0.539971\pi\) | |||||||
\(368\) | 8.04571 | − | 30.0270i | 0.419411 | − | 1.56526i | ||||
\(369\) | −13.0833 | + | 13.0833i | −0.681087 | + | 0.681087i | ||||
\(370\) | −2.03466 | + | 0.310432i | −0.105777 | + | 0.0161386i | ||||
\(371\) | 5.04039 | + | 1.35057i | 0.261684 | + | 0.0701180i | ||||
\(372\) | 3.73524 | 0.193663 | ||||||||
\(373\) | 9.79493 | + | 2.62454i | 0.507162 | + | 0.135894i | 0.503322 | − | 0.864099i | \(-0.332111\pi\) |
0.00384023 | + | 0.999993i | \(0.498778\pi\) | |||||||
\(374\) | −0.645471 | + | 1.11799i | −0.0333765 | + | 0.0578098i | ||||
\(375\) | −2.90069 | + | 2.52371i | −0.149791 | + | 0.130324i | ||||
\(376\) | 0.267945i | 0.0138182i | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0.522337 | − | 0.522337i | 0.0268661 | − | 0.0268661i | ||||
\(379\) | 0.271887 | + | 1.01470i | 0.0139659 | + | 0.0521215i | 0.972557 | − | 0.232664i | \(-0.0747443\pi\) |
−0.958591 | + | 0.284786i | \(0.908078\pi\) | |||||||
\(380\) | −0.927718 | + | 8.36948i | −0.0475909 | + | 0.429345i | ||||
\(381\) | 4.92857 | − | 2.84551i | 0.252498 | − | 0.145780i | ||||
\(382\) | 0.891162i | 0.0455958i | ||||||||
\(383\) | −6.00353 | − | 10.3984i | −0.306766 | − | 0.531334i | 0.670887 | − | 0.741560i | \(-0.265914\pi\) |
−0.977653 | + | 0.210225i | \(0.932580\pi\) | |||||||
\(384\) | −0.365961 | + | 1.36579i | −0.0186754 | + | 0.0696975i | ||||
\(385\) | 23.0983 | − | 10.1274i | 1.17720 | − | 0.516138i | ||||
\(386\) | 0.0784640 | + | 0.135904i | 0.00399371 | + | 0.00691732i | ||||
\(387\) | −4.82111 | − | 17.9926i | −0.245071 | − | 0.914616i | ||||
\(388\) | −20.2105 | − | 11.6685i | −1.02603 | − | 0.592380i | ||||
\(389\) | 7.37166 | 0.373758 | 0.186879 | − | 0.982383i | \(-0.440163\pi\) | ||||
0.186879 | + | 0.982383i | \(0.440163\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.3406 | −0.978097 | ||||||||
\(392\) | −0.333337 | − | 0.192452i | −0.0168361 | − | 0.00972030i | ||||
\(393\) | 1.12932 | + | 4.21468i | 0.0569667 | + | 0.212603i | ||||
\(394\) | −1.32097 | − | 2.28798i | −0.0665494 | − | 0.115267i | ||||
\(395\) | −6.81091 | + | 17.4465i | −0.342694 | + | 0.877826i | ||||
\(396\) | −5.99704 | + | 22.3813i | −0.301363 | + | 1.12470i | ||||
\(397\) | 3.02739 | + | 5.24359i | 0.151940 | + | 0.263168i | 0.931941 | − | 0.362611i | \(-0.118115\pi\) |
−0.780001 | + | 0.625779i | \(0.784781\pi\) | |||||||
\(398\) | 0.285937i | 0.0143327i | ||||||||
\(399\) | −1.57330 | + | 0.908347i | −0.0787637 | + | 0.0454742i | ||||
\(400\) | −18.5978 | + | 5.81026i | −0.929890 | + | 0.290513i | ||||
\(401\) | −0.624928 | − | 2.33226i | −0.0312074 | − | 0.116468i | 0.948565 | − | 0.316582i | \(-0.102535\pi\) |
−0.979773 | + | 0.200114i | \(0.935869\pi\) | |||||||
\(402\) | −0.115465 | + | 0.115465i | −0.00575886 | + | 0.00575886i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 2.00058i | 0.0995324i | ||||||||
\(405\) | −13.8777 | + | 11.1081i | −0.689588 | + | 0.551967i | ||||
\(406\) | −0.836154 | + | 1.44826i | −0.0414976 | + | 0.0718760i | ||||
\(407\) | 27.4594 | + | 7.35772i | 1.36111 | + | 0.364709i | ||||
\(408\) | 0.436016 | 0.0215860 | ||||||||
\(409\) | 19.4510 | + | 5.21187i | 0.961788 | + | 0.257710i | 0.705357 | − | 0.708852i | \(-0.250787\pi\) |
0.256431 | + | 0.966563i | \(0.417453\pi\) | |||||||
\(410\) | −1.51877 | − | 1.11667i | −0.0750066 | − | 0.0551486i | ||||
\(411\) | −3.63422 | + | 3.63422i | −0.179263 | + | 0.179263i | ||||
\(412\) | −4.35446 | + | 16.2511i | −0.214529 | + | 0.800632i | ||||
\(413\) | −7.05543 | + | 1.89050i | −0.347175 | + | 0.0930253i | ||||
\(414\) | 2.91558 | − | 0.781227i | 0.143293 | − | 0.0383952i | ||||
\(415\) | 6.60706 | + | 2.57933i | 0.324328 | + | 0.126614i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 2.08453 | + | 2.08453i | 0.102080 | + | 0.102080i | ||||
\(418\) | −0.505656 | + | 0.875822i | −0.0247324 | + | 0.0428378i | ||||
\(419\) | 26.0503 | + | 15.0401i | 1.27264 | + | 0.734759i | 0.975484 | − | 0.220070i | \(-0.0706287\pi\) |
0.297156 | + | 0.954829i | \(0.403962\pi\) | |||||||
\(420\) | −3.41663 | − | 2.51208i | −0.166715 | − | 0.122577i | ||||
\(421\) | −9.24685 | − | 9.24685i | −0.450664 | − | 0.450664i | 0.444911 | − | 0.895575i | \(-0.353235\pi\) |
−0.895575 | + | 0.444911i | \(0.853235\pi\) | |||||||
\(422\) | −2.26887 | + | 1.30993i | −0.110447 | + | 0.0637664i | ||||
\(423\) | 1.27871 | − | 0.738265i | 0.0621731 | − | 0.0358957i | ||||
\(424\) | −0.693751 | − | 0.693751i | −0.0336915 | − | 0.0336915i | ||||
\(425\) | 6.48649 | + | 10.2409i | 0.314641 | + | 0.496758i | ||||
\(426\) | −0.251327 | − | 0.145104i | −0.0121769 | − | 0.00703031i | ||||
\(427\) | 1.78499 | − | 3.09170i | 0.0863818 | − | 0.149618i | ||||
\(428\) | 6.94792 | + | 6.94792i | 0.335840 | + | 0.335840i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.73810 | − | 0.762061i | 0.0838185 | − | 0.0367499i | ||||
\(431\) | −6.09624 | + | 1.63348i | −0.293646 | + | 0.0786821i | −0.402634 | − | 0.915361i | \(-0.631905\pi\) |
0.108989 | + | 0.994043i | \(0.465239\pi\) | |||||||
\(432\) | 7.61362 | − | 2.04006i | 0.366311 | − | 0.0981527i | ||||
\(433\) | −3.18071 | + | 11.8706i | −0.152855 | + | 0.570463i | 0.846424 | + | 0.532509i | \(0.178751\pi\) |
−0.999279 | + | 0.0379543i | \(0.987916\pi\) | |||||||
\(434\) | 1.41461 | − | 1.41461i | 0.0679036 | − | 0.0679036i | ||||
\(435\) | −2.08587 | + | 2.83696i | −0.100010 | + | 0.136022i | ||||
\(436\) | −17.6324 | − | 4.72458i | −0.844438 | − | 0.226266i | ||||
\(437\) | −15.1513 | −0.724783 | ||||||||
\(438\) | −0.433215 | − | 0.116080i | −0.0206998 | − | 0.00554650i | ||||
\(439\) | −17.2223 | + | 29.8300i | −0.821977 | + | 1.42371i | 0.0822306 | + | 0.996613i | \(0.473796\pi\) |
−0.904208 | + | 0.427093i | \(0.859538\pi\) | |||||||
\(440\) | −4.71311 | − | 0.522427i | −0.224689 | − | 0.0249057i | ||||
\(441\) | 2.12104i | 0.101002i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.39452 | + | 5.39452i | −0.256301 | + | 0.256301i | −0.823548 | − | 0.567247i | \(-0.808009\pi\) |
0.567247 | + | 0.823548i | \(0.308009\pi\) | |||||||
\(444\) | −1.23716 | − | 4.61713i | −0.0587128 | − | 0.219119i | ||||
\(445\) | −13.8444 | − | 1.53459i | −0.656286 | − | 0.0727463i | ||||
\(446\) | −1.52526 | + | 0.880610i | −0.0722232 | + | 0.0416981i | ||||
\(447\) | 4.17534i | 0.197487i | ||||||||
\(448\) | −10.5542 | − | 18.2804i | −0.498639 | − | 0.863668i | ||||
\(449\) | −8.05832 | + | 30.0741i | −0.380296 | + | 1.41928i | 0.465155 | + | 0.885229i | \(0.345998\pi\) |
−0.845451 | + | 0.534053i | \(0.820668\pi\) | |||||||
\(450\) | −1.39149 | − | 1.28180i | −0.0655957 | − | 0.0604247i | ||||
\(451\) | 13.0186 | + | 22.5489i | 0.613021 | + | 1.06178i | ||||
\(452\) | 3.85034 | + | 14.3697i | 0.181105 | + | 0.675892i | ||||
\(453\) | 0.787612 | + | 0.454728i | 0.0370053 | + | 0.0213650i | ||||
\(454\) | 1.92769 | 0.0904710 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.341570 | 0.0159955 | ||||||||
\(457\) | −2.69118 | − | 1.55375i | −0.125888 | − | 0.0726814i | 0.435734 | − | 0.900076i | \(-0.356489\pi\) |
−0.561622 | + | 0.827394i | \(0.689822\pi\) | |||||||
\(458\) | 0.127494 | + | 0.475812i | 0.00595738 | + | 0.0222333i | ||||
\(459\) | −2.45200 | − | 4.24698i | −0.114449 | − | 0.198232i | ||||
\(460\) | −14.2018 | − | 32.3913i | −0.662163 | − | 1.51025i | ||||
\(461\) | −4.32132 | + | 16.1274i | −0.201264 | + | 0.751126i | 0.789292 | + | 0.614018i | \(0.210448\pi\) |
−0.990556 | + | 0.137109i | \(0.956219\pi\) | |||||||
\(462\) | −0.254652 | − | 0.441070i | −0.0118475 | − | 0.0205205i | ||||
\(463\) | 15.6396i | 0.726832i | 0.931627 | + | 0.363416i | \(0.118390\pi\) | ||||
−0.931627 | + | 0.363416i | \(0.881610\pi\) | |||||||
\(464\) | −15.4536 | + | 8.92212i | −0.717414 | + | 0.414199i | ||||
\(465\) | 3.28867 | − | 2.63235i | 0.152508 | − | 0.122072i | ||||
\(466\) | 0.670243 | + | 2.50138i | 0.0310484 | + | 0.115874i | ||||
\(467\) | 15.0821 | − | 15.0821i | 0.697916 | − | 0.697916i | −0.266045 | − | 0.963961i | \(-0.585717\pi\) |
0.963961 | + | 0.266045i | \(0.0857169\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 10.0582i | − | 0.464447i | ||||||
\(470\) | 0.0940063 | + | 0.117445i | 0.00433619 | + | 0.00541732i | ||||
\(471\) | −2.50939 | + | 4.34640i | −0.115627 | + | 0.200272i | ||||
\(472\) | 1.32655 | + | 0.355447i | 0.0610592 | + | 0.0163608i | ||||
\(473\) | −26.2128 | −1.20527 | ||||||||
\(474\) | 0.365317 | + | 0.0978863i | 0.0167796 | + | 0.00449607i | ||||
\(475\) | 5.08145 | + | 8.02265i | 0.233153 | + | 0.368104i | ||||
\(476\) | −9.45433 | + | 9.45433i | −0.433339 | + | 0.433339i | ||||
\(477\) | −1.39930 | + | 5.22226i | −0.0640696 | + | 0.239111i | ||||
\(478\) | −1.82753 | + | 0.489686i | −0.0835894 | + | 0.0223977i | ||||
\(479\) | −41.1964 | + | 11.0386i | −1.88231 | + | 0.504364i | −0.882921 | + | 0.469522i | \(0.844426\pi\) |
−0.999393 | + | 0.0348421i | \(0.988907\pi\) | |||||||
\(480\) | 0.480942 | + | 1.09693i | 0.0219519 | + | 0.0500676i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.752428 | + | 0.752428i | 0.0342722 | + | 0.0342722i | ||||
\(483\) | 3.81514 | − | 6.60802i | 0.173595 | − | 0.300675i | ||||
\(484\) | 9.34972 | + | 5.39806i | 0.424987 | + | 0.245366i | ||||
\(485\) | −26.0174 | + | 3.96953i | −1.18139 | + | 0.180247i | ||||
\(486\) | 0.817218 | + | 0.817218i | 0.0370698 | + | 0.0370698i | ||||
\(487\) | 13.1780 | − | 7.60834i | 0.597154 | − | 0.344767i | −0.170767 | − | 0.985311i | \(-0.554625\pi\) |
0.767921 | + | 0.640545i | \(0.221291\pi\) | |||||||
\(488\) | −0.581293 | + | 0.335610i | −0.0263139 | + | 0.0151923i | ||||
\(489\) | −4.54620 | − | 4.54620i | −0.205586 | − | 0.205586i | ||||
\(490\) | −0.213627 | + | 0.0325936i | −0.00965070 | + | 0.00147243i | ||||
\(491\) | −24.2273 | − | 13.9876i | −1.09336 | − | 0.631254i | −0.158894 | − | 0.987296i | \(-0.550793\pi\) |
−0.934470 | + | 0.356042i | \(0.884126\pi\) | |||||||
\(492\) | 2.18900 | − | 3.79145i | 0.0986876 | − | 0.170932i | ||||
\(493\) | 7.85029 | + | 7.85029i | 0.353559 | + | 0.353559i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.4928 | + | 23.9318i | 0.471616 | + | 1.07565i | ||||
\(496\) | 20.6195 | − | 5.52498i | 0.925844 | − | 0.248079i | ||||
\(497\) | 17.2668 | − | 4.62661i | 0.774520 | − | 0.207532i | ||||
\(498\) | 0.0370700 | − | 0.138347i | 0.00166115 | − | 0.00619949i | ||||
\(499\) | 1.67479 | − | 1.67479i | 0.0749740 | − | 0.0749740i | −0.668625 | − | 0.743599i | \(-0.733117\pi\) |
0.743599 | + | 0.668625i | \(0.233117\pi\) | |||||||
\(500\) | −12.3883 | + | 18.3833i | −0.554021 | + | 0.822128i | ||||
\(501\) | 6.86873 | + | 1.84047i | 0.306872 | + | 0.0822261i | ||||
\(502\) | −0.613896 | −0.0273995 | ||||||||
\(503\) | −22.3705 | − | 5.99415i | −0.997451 | − | 0.267266i | −0.277073 | − | 0.960849i | \(-0.589365\pi\) |
−0.720377 | + | 0.693583i | \(0.756031\pi\) | |||||||
\(504\) | 2.09575 | − | 3.62995i | 0.0933523 | − | 0.161691i | ||||
\(505\) | 1.40987 | + | 1.76140i | 0.0627386 | + | 0.0783811i | ||||
\(506\) | − | 4.24760i | − | 0.188829i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 23.2016 | − | 23.2016i | 1.02940 | − | 1.02940i | ||||
\(509\) | 1.55965 | + | 5.82068i | 0.0691301 | + | 0.257997i | 0.991838 | − | 0.127502i | \(-0.0406960\pi\) |
−0.922708 | + | 0.385499i | \(0.874029\pi\) | |||||||
\(510\) | 0.191113 | − | 0.152973i | 0.00846262 | − | 0.00677374i | ||||
\(511\) | 23.9248 | − | 13.8130i | 1.05837 | − | 0.611051i | ||||
\(512\) | 10.1453i | 0.448362i | ||||||||
\(513\) | −1.92087 | − | 3.32705i | −0.0848086 | − | 0.146893i | ||||
\(514\) | 0.589794 | − | 2.20114i | 0.0260147 | − | 0.0970881i | ||||
\(515\) | 7.61882 | + | 17.3769i | 0.335725 | + | 0.765717i | ||||
\(516\) | 2.20376 | + | 3.81703i | 0.0970152 | + | 0.168035i | ||||
\(517\) | −0.537776 | − | 2.00701i | −0.0236514 | − | 0.0882681i | ||||
\(518\) | −2.21714 | − | 1.28007i | −0.0974155 | − | 0.0562429i | ||||
\(519\) | 6.24038 | 0.273922 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 27.8183 | 1.21874 | 0.609371 | − | 0.792886i | \(-0.291422\pi\) | ||||
0.609371 | + | 0.792886i | \(0.291422\pi\) | |||||||
\(522\) | −1.50052 | − | 0.866326i | −0.0656760 | − | 0.0379180i | ||||
\(523\) | −0.141761 | − | 0.529059i | −0.00619877 | − | 0.0231341i | 0.962757 | − | 0.270368i | \(-0.0871452\pi\) |
−0.968956 | + | 0.247233i | \(0.920479\pi\) | |||||||
\(524\) | 12.5786 | + | 21.7868i | 0.549500 | + | 0.951762i | ||||
\(525\) | −4.77850 | + | 0.196075i | −0.208551 | + | 0.00855742i | ||||
\(526\) | 0.0822974 | − | 0.307138i | 0.00358834 | − | 0.0133919i | ||||
\(527\) | −6.64060 | − | 11.5019i | −0.289269 | − | 0.501029i | ||||
\(528\) | − | 5.43449i | − | 0.236506i | ||||||
\(529\) | 35.1924 | − | 20.3183i | 1.53010 | − | 0.883406i | ||||
\(530\) | −0.547479 | − | 0.0606856i | −0.0237810 | − | 0.00263601i | ||||
\(531\) | −1.95871 | − | 7.31002i | −0.0850010 | − | 0.317228i | ||||
\(532\) | −7.40643 | + | 7.40643i | −0.321110 | + | 0.321110i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0.281282i | 0.0121722i | ||||||||
\(535\) | 11.0137 | + | 1.22082i | 0.476163 | + | 0.0527805i | ||||
\(536\) | −0.945563 | + | 1.63776i | −0.0408421 | + | 0.0707406i | ||||
\(537\) | −5.76736 | − | 1.54536i | −0.248880 | − | 0.0666871i | ||||
\(538\) | −1.27786 | −0.0550923 | ||||||||
\(539\) | 2.88308 | + | 0.772518i | 0.124183 | + | 0.0332747i | ||||
\(540\) | 5.31226 | − | 7.22512i | 0.228603 | − | 0.310919i | ||||
\(541\) | 29.7507 | − | 29.7507i | 1.27908 | − | 1.27908i | 0.337899 | − | 0.941182i | \(-0.390284\pi\) |
0.941182 | − | 0.337899i | \(-0.109716\pi\) | |||||||
\(542\) | −0.744839 | + | 2.77978i | −0.0319936 | + | 0.119402i | ||||
\(543\) | −8.28067 | + | 2.21880i | −0.355357 | + | 0.0952177i | ||||
\(544\) | 3.64758 | − | 0.977367i | 0.156389 | − | 0.0419043i | ||||
\(545\) | −18.8539 | + | 8.26641i | −0.807612 | + | 0.354094i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.2594 | − | 14.2594i | −0.609688 | − | 0.609688i | 0.333176 | − | 0.942864i | \(-0.391880\pi\) |
−0.942864 | + | 0.333176i | \(0.891880\pi\) | |||||||
\(548\) | −14.8162 | + | 25.6625i | −0.632919 | + | 1.09625i | ||||
\(549\) | 3.20326 | + | 1.84940i | 0.136712 | + | 0.0789306i | ||||
\(550\) | −2.24912 | + | 1.42457i | −0.0959029 | + | 0.0607438i | ||||
\(551\) | 6.14984 | + | 6.14984i | 0.261992 | + | 0.261992i | ||||
\(552\) | −1.24242 | + | 0.717314i | −0.0528811 | + | 0.0305309i | ||||
\(553\) | −20.1750 | + | 11.6481i | −0.857930 | + | 0.495326i | ||||
\(554\) | 1.67641 | + | 1.67641i | 0.0712240 | + | 0.0712240i | ||||
\(555\) | −4.34309 | − | 3.19326i | −0.184354 | − | 0.135546i | ||||
\(556\) | 14.7196 | + | 8.49837i | 0.624251 | + | 0.360411i | ||||
\(557\) | 17.5886 | − | 30.4644i | 0.745254 | − | 1.29082i | −0.204822 | − | 0.978799i | \(-0.565662\pi\) |
0.950076 | − | 0.312018i | \(-0.101005\pi\) | |||||||
\(558\) | 1.46566 | + | 1.46566i | 0.0620463 | + | 0.0620463i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −22.5765 | − | 8.81362i | −0.954030 | − | 0.372443i | ||||
\(561\) | −3.26592 | + | 0.875100i | −0.137887 | + | 0.0369468i | ||||
\(562\) | 2.04005 | − | 0.546631i | 0.0860545 | − | 0.0230582i | ||||
\(563\) | 10.8527 | − | 40.5028i | 0.457387 | − | 1.70699i | −0.223589 | − | 0.974684i | \(-0.571777\pi\) |
0.680975 | − | 0.732306i | \(-0.261556\pi\) | |||||||
\(564\) | −0.247042 | + | 0.247042i | −0.0104024 | + | 0.0104024i | ||||
\(565\) | 13.5168 | + | 9.93822i | 0.568656 | + | 0.418104i | ||||
\(566\) | 1.44015 | + | 0.385887i | 0.0605341 | + | 0.0162201i | ||||
\(567\) | −22.1108 | −0.928566 | ||||||||
\(568\) | −3.24645 | − | 0.869884i | −0.136218 | − | 0.0364995i | ||||
\(569\) | 13.7741 | − | 23.8575i | 0.577441 | − | 1.00016i | −0.418331 | − | 0.908295i | \(-0.637385\pi\) |
0.995772 | − | 0.0918621i | \(-0.0292819\pi\) | |||||||
\(570\) | 0.149716 | − | 0.119837i | 0.00627091 | − | 0.00501943i | ||||
\(571\) | 4.72029i | 0.197538i | 0.995110 | + | 0.0987690i | \(0.0314905\pi\) | ||||
−0.995110 | + | 0.0987690i | \(0.968510\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.65043 | + | 1.65043i | −0.0689476 | + | 0.0689476i | ||||
\(574\) | −0.606884 | − | 2.26492i | −0.0253308 | − | 0.0945360i | ||||
\(575\) | −35.3311 | − | 18.5102i | −1.47341 | − | 0.771928i | ||||
\(576\) | 18.9400 | − | 10.9350i | 0.789168 | − | 0.455626i | ||||
\(577\) | − | 6.73701i | − | 0.280465i | −0.990119 | − | 0.140233i | \(-0.955215\pi\) | ||
0.990119 | − | 0.140233i | \(-0.0447851\pi\) | |||||||
\(578\) | 0.730170 | + | 1.26469i | 0.0303711 | + | 0.0526043i | ||||
\(579\) | −0.106378 | + | 0.397008i | −0.00442092 | + | 0.0164991i | ||||
\(580\) | −7.38303 | + | 18.9120i | −0.306564 | + | 0.785276i | ||||
\(581\) | 4.41118 | + | 7.64038i | 0.183006 | + | 0.316977i | ||||
\(582\) | 0.137554 | + | 0.513359i | 0.00570180 | + | 0.0212794i | ||||
\(583\) | 6.58884 | + | 3.80407i | 0.272882 | + | 0.157548i | ||||
\(584\) | −5.19417 | −0.214936 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.0918611 | −0.00379475 | ||||||||
\(587\) | −4.49847 | − | 2.59719i | −0.185672 | − | 0.107198i | 0.404283 | − | 0.914634i | \(-0.367521\pi\) |
−0.589955 | + | 0.807436i | \(0.700854\pi\) | |||||||
\(588\) | −0.129894 | − | 0.484772i | −0.00535674 | − | 0.0199916i | ||||
\(589\) | −5.20218 | − | 9.01044i | −0.214352 | − | 0.371269i | ||||
\(590\) | 0.706152 | − | 0.309609i | 0.0290718 | − | 0.0127464i | ||||
\(591\) | 1.79091 | − | 6.68376i | 0.0736681 | − | 0.274933i | ||||
\(592\) | −13.6589 | − | 23.6578i | −0.561375 | − | 0.972331i | ||||
\(593\) | − | 12.9267i | − | 0.530836i | −0.964133 | − | 0.265418i | \(-0.914490\pi\) | ||
0.964133 | − | 0.265418i | \(-0.0855100\pi\) | |||||||
\(594\) | 0.932726 | − | 0.538510i | 0.0382702 | − | 0.0220953i | ||||
\(595\) | −1.66122 | + | 14.9868i | −0.0681033 | + | 0.614399i | ||||
\(596\) | 6.23060 | + | 23.2529i | 0.255215 | + | 0.952477i | ||||
\(597\) | −0.529553 | + | 0.529553i | −0.0216732 | + | 0.0216732i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.7523i | 0.684481i | 0.939612 | + | 0.342241i | \(0.111186\pi\) | ||||
−0.939612 | + | 0.342241i | \(0.888814\pi\) | |||||||
\(600\) | 0.796506 | + | 0.417294i | 0.0325172 | + | 0.0170360i | ||||
\(601\) | −6.28803 | + | 10.8912i | −0.256494 | + | 0.444261i | −0.965300 | − | 0.261142i | \(-0.915901\pi\) |
0.708806 | + | 0.705403i | \(0.249234\pi\) | |||||||
\(602\) | 2.28020 | + | 0.610977i | 0.0929340 | + | 0.0249016i | ||||
\(603\) | 10.4212 | 0.424384 | ||||||||
\(604\) | 5.06486 | + | 1.35713i | 0.206086 | + | 0.0552207i | ||||
\(605\) | 12.0361 | − | 1.83638i | 0.489337 | − | 0.0746593i | ||||
\(606\) | 0.0322160 | − | 0.0322160i | 0.00130868 | − | 0.00130868i | ||||
\(607\) | 9.69731 | − | 36.1909i | 0.393602 | − | 1.46894i | −0.430547 | − | 0.902568i | \(-0.641679\pi\) |
0.824149 | − | 0.566374i | \(-0.191654\pi\) | |||||||
\(608\) | 2.85748 | − | 0.765660i | 0.115886 | − | 0.0310516i | ||||
\(609\) | −4.23072 | + | 1.13362i | −0.171438 | + | 0.0459366i | ||||
\(610\) | −0.137044 | + | 0.351045i | −0.00554877 | + | 0.0142134i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −9.79548 | − | 9.79548i | −0.395959 | − | 0.395959i | ||||
\(613\) | 8.64732 | − | 14.9776i | 0.349262 | − | 0.604940i | −0.636856 | − | 0.770982i | \(-0.719766\pi\) |
0.986119 | + | 0.166043i | \(0.0530990\pi\) | |||||||
\(614\) | −1.61524 | − | 0.932562i | −0.0651860 | − | 0.0376351i | ||||
\(615\) | −0.744678 | − | 4.88082i | −0.0300283 | − | 0.196814i | ||||
\(616\) | −4.17079 | − | 4.17079i | −0.168046 | − | 0.168046i | ||||
\(617\) | −10.5136 | + | 6.07005i | −0.423263 | + | 0.244371i | −0.696472 | − | 0.717584i | \(-0.745248\pi\) |
0.273210 | + | 0.961955i | \(0.411915\pi\) | |||||||
\(618\) | 0.331818 | − | 0.191575i | 0.0133477 | − | 0.00770628i | ||||
\(619\) | 2.99993 | + | 2.99993i | 0.120577 | + | 0.120577i | 0.764821 | − | 0.644243i | \(-0.222828\pi\) |
−0.644243 | + | 0.764821i | \(0.722828\pi\) | |||||||
\(620\) | 14.3869 | − | 19.5673i | 0.577791 | − | 0.785843i | ||||
\(621\) | 13.9739 | + | 8.06784i | 0.560753 | + | 0.323751i | ||||
\(622\) | 1.41125 | − | 2.44435i | 0.0565858 | − | 0.0980095i | ||||
\(623\) | −12.2514 | − | 12.2514i | −0.490840 | − | 0.490840i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.04819 | + | 24.9160i | 0.0819276 | + | 0.996638i | ||||
\(626\) | 1.67938 | − | 0.449988i | 0.0671215 | − | 0.0179851i | ||||
\(627\) | −2.55849 | + | 0.685545i | −0.102176 | + | 0.0273780i | ||||
\(628\) | −7.48923 | + | 27.9502i | −0.298853 | + | 1.11533i | ||||
\(629\) | −12.0180 | + | 12.0180i | −0.479188 | + | 0.479188i | ||||
\(630\) | −0.354936 | − | 2.32635i | −0.0141410 | − | 0.0926839i | ||||
\(631\) | 20.9006 | + | 5.60031i | 0.832041 | + | 0.222945i | 0.649604 | − | 0.760273i | \(-0.274935\pi\) |
0.182437 | + | 0.983218i | \(0.441601\pi\) | |||||||
\(632\) | 4.38008 | 0.174230 | ||||||||
\(633\) | −6.62791 | − | 1.77594i | −0.263436 | − | 0.0705874i | ||||
\(634\) | −1.13592 | + | 1.96748i | −0.0451133 | + | 0.0781385i | ||||
\(635\) | 4.07674 | − | 36.7786i | 0.161781 | − | 1.45951i | ||||
\(636\) | − | 1.27926i | − | 0.0507260i | ||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −1.72409 | + | 1.72409i | −0.0682572 | + | 0.0682572i | ||||
\(639\) | 4.79356 | + | 17.8898i | 0.189630 | + | 0.707710i | ||||
\(640\) | 5.74522 | + | 7.17766i | 0.227100 | + | 0.283722i | ||||
\(641\) | −39.2467 | + | 22.6591i | −1.55015 | + | 0.894980i | −0.552022 | + | 0.833829i | \(0.686144\pi\) |
−0.998129 | + | 0.0611509i | \(0.980523\pi\) | |||||||
\(642\) | − | 0.223769i | − | 0.00883148i | ||||||
\(643\) | −15.8249 | − | 27.4095i | −0.624072 | − | 1.08092i | −0.988719 | − | 0.149779i | \(-0.952144\pi\) |
0.364647 | − | 0.931146i | \(-0.381190\pi\) | |||||||
\(644\) | 11.3862 | − | 42.4939i | 0.448679 | − | 1.67449i | ||||
\(645\) | 4.63028 | + | 1.80761i | 0.182317 | + | 0.0711747i | ||||
\(646\) | −0.302312 | − | 0.523619i | −0.0118943 | − | 0.0206015i | ||||
\(647\) | −9.83169 | − | 36.6924i | −0.386524 | − | 1.44253i | −0.835751 | − | 0.549109i | \(-0.814967\pi\) |
0.449227 | − | 0.893418i | \(-0.351699\pi\) | |||||||
\(648\) | 3.60026 | + | 2.07861i | 0.141431 | + | 0.0816555i | ||||
\(649\) | −10.6497 | −0.418038 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.23971 | 0.205361 | ||||||||
\(652\) | −32.1023 | − | 18.5343i | −1.25722 | − | 0.725858i | ||||
\(653\) | 0.713775 | + | 2.66385i | 0.0279322 | + | 0.104244i | 0.978485 | − | 0.206320i | \(-0.0661487\pi\) |
−0.950552 | + | 0.310564i | \(0.899482\pi\) | |||||||
\(654\) | 0.207859 | + | 0.360022i | 0.00812792 | + | 0.0140780i | ||||
\(655\) | 26.4287 | + | 10.3175i | 1.03265 | + | 0.403138i | ||||
\(656\) | 6.47571 | − | 24.1677i | 0.252834 | − | 0.943590i | ||||
\(657\) | 14.3114 | + | 24.7881i | 0.558342 | + | 0.967076i | ||||
\(658\) | 0.187120i | 0.00729470i | ||||||||
\(659\) | −1.80219 | + | 1.04050i | −0.0702034 | + | 0.0405320i | −0.534691 | − | 0.845048i | \(-0.679572\pi\) |
0.464487 | + | 0.885580i | \(0.346239\pi\) | |||||||
\(660\) | −3.86376 | − | 4.82711i | −0.150397 | − | 0.187895i | ||||
\(661\) | 9.72683 | + | 36.3010i | 0.378330 | + | 1.41195i | 0.848418 | + | 0.529326i | \(0.177555\pi\) |
−0.470089 | + | 0.882619i | \(0.655778\pi\) | |||||||
\(662\) | −1.66840 | + | 1.66840i | −0.0648440 | + | 0.0648440i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 1.65876i | − | 0.0643723i | ||||||
\(665\) | −1.30138 | + | 11.7405i | −0.0504655 | + | 0.455278i | ||||
\(666\) | 1.32626 | − | 2.29714i | 0.0513914 | − | 0.0890125i | ||||
\(667\) | −35.2843 | − | 9.45440i | −1.36621 | − | 0.366076i | ||||
\(668\) | 40.9991 | 1.58630 | ||||||||
\(669\) | −4.45566 | − | 1.19389i | −0.172266 | − | 0.0461585i | ||||
\(670\) | 0.160140 | + | 1.04960i | 0.00618675 | + | 0.0405497i | ||||
\(671\) | 3.68052 | − | 3.68052i | 0.142085 | − | 0.142085i | ||||
\(672\) | −0.385592 | + | 1.43905i | −0.0148745 | + | 0.0555125i | ||||
\(673\) | 17.3908 | − | 4.65984i | 0.670364 | − | 0.179624i | 0.0924454 | − | 0.995718i | \(-0.470532\pi\) |
0.577919 | + | 0.816094i | \(0.303865\pi\) | |||||||
\(674\) | −0.867519 | + | 0.232451i | −0.0334156 | + | 0.00895368i | ||||
\(675\) | −0.414638 | − | 10.1050i | −0.0159594 | − | 0.388943i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 15.4021 | + | 15.4021i | 0.591952 | + | 0.591952i | 0.938158 | − | 0.346206i | \(-0.112530\pi\) |
−0.346206 | + | 0.938158i | \(0.612530\pi\) | |||||||
\(678\) | 0.169396 | − | 0.293403i | 0.00650563 | − | 0.0112681i | ||||
\(679\) | −28.3508 | − | 16.3684i | −1.08801 | − | 0.628160i | ||||
\(680\) | 1.67938 | − | 2.28410i | 0.0644014 | − | 0.0875913i | ||||
\(681\) | 3.57007 | + | 3.57007i | 0.136805 | + | 0.136805i | ||||
\(682\) | 2.52605 | − | 1.45841i | 0.0967273 | − | 0.0558455i | ||||
\(683\) | −5.34122 | + | 3.08376i | −0.204376 | + | 0.117997i | −0.598695 | − | 0.800977i | \(-0.704314\pi\) |
0.394319 | + | 0.918974i | \(0.370981\pi\) | |||||||
\(684\) | −7.67369 | − | 7.67369i | −0.293411 | − | 0.293411i | ||||
\(685\) | 5.04036 | + | 33.0359i | 0.192582 | + | 1.26224i | ||||
\(686\) | 1.98113 | + | 1.14381i | 0.0756398 | + | 0.0436707i | ||||
\(687\) | −0.645085 | + | 1.11732i | −0.0246115 | + | 0.0426284i | ||||
\(688\) | 17.8113 | + | 17.8113i | 0.679050 | + | 0.679050i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −0.292911 | + | 0.750304i | −0.0111509 | + | 0.0285636i | ||||
\(691\) | 12.6830 | − | 3.39841i | 0.482486 | − | 0.129282i | −0.00937405 | − | 0.999956i | \(-0.502984\pi\) |
0.491860 | + | 0.870674i | \(0.336317\pi\) | |||||||
\(692\) | 34.7534 | − | 9.31214i | 1.32112 | − | 0.353994i | ||||
\(693\) | −8.41252 | + | 31.3960i | −0.319565 | + | 1.19263i | ||||
\(694\) | −1.72710 | + | 1.72710i | −0.0655600 | + | 0.0655600i | ||||
\(695\) | 18.9489 | − | 2.89107i | 0.718773 | − | 0.109665i | ||||
\(696\) | 0.795450 | + | 0.213140i | 0.0301515 | + | 0.00807906i | ||||
\(697\) | −15.5666 | −0.589627 | ||||||||
\(698\) | −0.319231 | − | 0.0855377i | −0.0120831 | − | 0.00323765i | ||||
\(699\) | −3.39126 | + | 5.87383i | −0.128269 | + | 0.222169i | ||||
\(700\) | −26.3194 | + | 8.22263i | −0.994780 | + | 0.310786i | ||||
\(701\) | 23.2292i | 0.877354i | 0.898645 | + | 0.438677i | \(0.144553\pi\) | ||||
−0.898645 | + | 0.438677i | \(0.855447\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.41478 | + | 9.41478i | −0.355085 | + | 0.355085i | ||||
\(704\) | −7.96543 | − | 29.7274i | −0.300208 | − | 1.12039i | ||||
\(705\) | −0.0434078 | + | 0.391606i | −0.00163483 | + | 0.0147487i | ||||
\(706\) | 3.72081 | − | 2.14821i | 0.140034 | − | 0.0808490i | ||||
\(707\) | 2.80636i | 0.105544i | ||||||||
\(708\) | 0.895342 | + | 1.55078i | 0.0336490 | + | 0.0582818i | ||||
\(709\) | 0.537189 | − | 2.00482i | 0.0201746 | − | 0.0752925i | −0.955105 | − | 0.296269i | \(-0.904258\pi\) |
0.975279 | + | 0.220976i | \(0.0709243\pi\) | |||||||
\(710\) | −1.72817 | + | 0.757707i | −0.0648569 | + | 0.0284362i | ||||
\(711\) | −12.0684 | − | 20.9030i | −0.452599 | − | 0.783925i | ||||
\(712\) | 0.843128 | + | 3.14660i | 0.0315976 | + | 0.117924i | ||||
\(713\) | 37.8447 | + | 21.8496i | 1.41729 | + | 0.818275i | ||||
\(714\) | 0.304493 | 0.0113954 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −34.4251 | −1.28653 | ||||||||
\(717\) | −4.29148 | − | 2.47769i | −0.160268 | − | 0.0925309i | ||||
\(718\) | −0.0336269 | − | 0.125497i | −0.00125494 | − | 0.00468351i | ||||
\(719\) | 3.36848 | + | 5.83438i | 0.125623 | + | 0.217586i | 0.921976 | − | 0.387246i | \(-0.126574\pi\) |
−0.796353 | + | 0.604832i | \(0.793240\pi\) | |||||||
\(720\) | 9.13165 | − | 23.3911i | 0.340316 | − | 0.871735i | ||||
\(721\) | −6.10834 | + | 22.7966i | −0.227486 | + | 0.848991i | ||||
\(722\) | 1.01055 | + | 1.75032i | 0.0376086 | + | 0.0651401i | ||||
\(723\) | 2.78698i | 0.103649i | ||||||||
\(724\) | −42.8050 | + | 24.7135i | −1.59083 | + | 0.918469i | ||||
\(725\) | 6.82756 | + | 21.8540i | 0.253569 | + | 0.811637i | ||||
\(726\) | −0.0636349 | − | 0.237489i | −0.00236171 | − | 0.00881403i | ||||
\(727\) | 34.4733 | − | 34.4733i | 1.27854 | − | 1.27854i | 0.337062 | − | 0.941483i | \(-0.390567\pi\) |
0.941483 | − | 0.337062i | \(-0.109433\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 20.8218i | − | 0.771179i | ||||||
\(730\) | −2.27669 | + | 1.82233i | −0.0842641 | + | 0.0674475i | ||||
\(731\) | 7.83580 | − | 13.5720i | 0.289817 | − | 0.501979i | ||||
\(732\) | −0.845374 | − | 0.226517i | −0.0312459 | − | 0.00837232i | ||||
\(733\) | 28.7555 | 1.06211 | 0.531054 | − | 0.847338i | \(-0.321796\pi\) | ||||
0.531054 | + | 0.847338i | \(0.321796\pi\) | |||||||
\(734\) | 1.83565 | + | 0.491861i | 0.0677551 | + | 0.0181549i | ||||
\(735\) | −0.456000 | − | 0.335273i | −0.0168198 | − | 0.0123667i | ||||
\(736\) | −8.78585 | + | 8.78585i | −0.323851 | + | 0.323851i | ||||
\(737\) | 3.79556 | − | 14.1652i | 0.139811 | − | 0.521783i | ||||
\(738\) | 2.34665 | − | 0.628783i | 0.0863813 | − | 0.0231458i | ||||
\(739\) | 29.6373 | − | 7.94129i | 1.09023 | − | 0.292125i | 0.331447 | − | 0.943474i | \(-0.392463\pi\) |
0.758778 | + | 0.651349i | \(0.225797\pi\) | |||||||
\(740\) | −28.9523 | − | 11.3027i | −1.06431 | − | 0.415494i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.484483 | − | 0.484483i | −0.0177859 | − | 0.0177859i | ||||
\(743\) | 26.4817 | − | 45.8676i | 0.971519 | − | 1.68272i | 0.280543 | − | 0.959841i | \(-0.409485\pi\) |
0.690976 | − | 0.722878i | \(-0.257181\pi\) | |||||||
\(744\) | −0.853172 | − | 0.492579i | −0.0312788 | − | 0.0180588i | ||||
\(745\) | 21.8728 | + | 16.0820i | 0.801359 | + | 0.589198i | ||||
\(746\) | −0.941490 | − | 0.941490i | −0.0344704 | − | 0.0344704i | ||||
\(747\) | −7.91608 | + | 4.57035i | −0.289634 | + | 0.167220i | ||||
\(748\) | −16.8824 | + | 9.74706i | −0.617282 | + | 0.356388i | ||||
\(749\) | 9.74639 | + | 9.74639i | 0.356125 | + | 0.356125i | ||||
\(750\) | 0.495526 | − | 0.0965407i | 0.0180941 | − | 0.00352517i | ||||
\(751\) | 40.3780 | + | 23.3123i | 1.47341 | + | 0.850676i | 0.999552 | − | 0.0299230i | \(-0.00952620\pi\) |
0.473862 | + | 0.880599i | \(0.342860\pi\) | |||||||
\(752\) | −0.998326 | + | 1.72915i | −0.0364052 | + | 0.0630557i | ||||
\(753\) | −1.13693 | − | 1.13693i | −0.0414321 | − | 0.0414321i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 5.41574 | − | 2.37451i | 0.197099 | − | 0.0864172i | ||||
\(756\) | 10.7747 | − | 2.88708i | 0.391873 | − | 0.105002i | ||||
\(757\) | 1.20667 | − | 0.323327i | 0.0438572 | − | 0.0117515i | −0.236824 | − | 0.971553i | \(-0.576106\pi\) |
0.280681 | + | 0.959801i | \(0.409440\pi\) | |||||||
\(758\) | 0.0356995 | − | 0.133232i | 0.00129666 | − | 0.00483922i | ||||
\(759\) | 7.86654 | − | 7.86654i | 0.285537 | − | 0.285537i | ||||
\(760\) | 1.31561 | − | 1.78934i | 0.0477223 | − | 0.0649063i | ||||
\(761\) | −19.7156 | − | 5.28278i | −0.714690 | − | 0.191501i | −0.116889 | − | 0.993145i | \(-0.537292\pi\) |
−0.597801 | + | 0.801644i | \(0.703959\pi\) | |||||||
\(762\) | −0.747246 | −0.0270698 | ||||||||
\(763\) | −24.7343 | − | 6.62754i | −0.895442 | − | 0.239933i | ||||
\(764\) | −6.72858 | + | 11.6542i | −0.243432 | + | 0.421636i | ||||
\(765\) | −15.5276 | − | 1.72116i | −0.561401 | − | 0.0622288i | ||||
\(766\) | 1.57656i | 0.0569633i | ||||||||
\(767\) | 0 | 0 |