Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(9,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.n (of order \(15\), degree \(8\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 847.9 |
Dual form | 847.2.n.d.753.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22735 | − | 1.36311i | −0.867866 | − | 0.963863i | 0.131758 | − | 0.991282i | \(-0.457938\pi\) |
−0.999624 | + | 0.0274188i | \(0.991271\pi\) | |||||||
\(3\) | −2.00860 | − | 0.894288i | −1.15967 | − | 0.516318i | −0.265527 | − | 0.964103i | \(-0.585546\pi\) |
−0.894141 | + | 0.447786i | \(0.852213\pi\) | |||||||
\(4\) | −0.142624 | + | 1.35697i | −0.0713118 | + | 0.678487i | ||||
\(5\) | 0.621664 | + | 0.132139i | 0.278016 | + | 0.0590942i | 0.344810 | − | 0.938673i | \(-0.387943\pi\) |
−0.0667932 | + | 0.997767i | \(0.521277\pi\) | |||||||
\(6\) | 1.24625 | + | 3.83555i | 0.508778 | + | 1.56586i | ||||
\(7\) | 1.80096 | − | 1.93818i | 0.680700 | − | 0.732563i | ||||
\(8\) | −0.943117 | + | 0.685215i | −0.333442 | + | 0.242260i | ||||
\(9\) | 1.22735 | + | 1.36311i | 0.409116 | + | 0.454369i | ||||
\(10\) | −0.582878 | − | 1.00958i | −0.184322 | − | 0.319256i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.50000 | − | 2.59808i | 0.433013 | − | 0.750000i | ||||
\(13\) | 0.556635 | − | 1.71315i | 0.154383 | − | 0.475141i | −0.843715 | − | 0.536791i | \(-0.819636\pi\) |
0.998098 | + | 0.0616500i | \(0.0196362\pi\) | |||||||
\(14\) | −4.85235 | − | 0.0760860i | −1.29685 | − | 0.0203348i | ||||
\(15\) | −1.13051 | − | 0.821361i | −0.291895 | − | 0.212074i | ||||
\(16\) | 4.76082 | + | 1.01194i | 1.19020 | + | 0.252986i | ||||
\(17\) | 1.89648 | − | 2.10625i | 0.459964 | − | 0.510841i | −0.467890 | − | 0.883787i | \(-0.654986\pi\) |
0.927853 | + | 0.372946i | \(0.121652\pi\) | |||||||
\(18\) | 0.351681 | − | 3.34602i | 0.0828919 | − | 0.788664i | ||||
\(19\) | −0.581506 | − | 5.53266i | −0.133407 | − | 1.26928i | −0.832409 | − | 0.554161i | \(-0.813039\pi\) |
0.699003 | − | 0.715119i | \(-0.253628\pi\) | |||||||
\(20\) | −0.267973 | + | 0.824735i | −0.0599205 | + | 0.184416i | ||||
\(21\) | −5.35071 | + | 2.28245i | −1.16762 | + | 0.498073i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.08288 | + | 1.87560i | −0.225796 | + | 0.391090i | −0.956558 | − | 0.291542i | \(-0.905832\pi\) |
0.730762 | + | 0.682632i | \(0.239165\pi\) | |||||||
\(24\) | 2.50713 | − | 0.532907i | 0.511765 | − | 0.108779i | ||||
\(25\) | −4.19872 | − | 1.86939i | −0.839744 | − | 0.373878i | ||||
\(26\) | −3.01839 | + | 1.34387i | −0.591955 | + | 0.263555i | ||||
\(27\) | 0.792054 | + | 2.43769i | 0.152431 | + | 0.469134i | ||||
\(28\) | 2.37320 | + | 2.72029i | 0.448492 | + | 0.514086i | ||||
\(29\) | −8.43830 | − | 6.13079i | −1.56695 | − | 1.13846i | −0.930002 | − | 0.367555i | \(-0.880195\pi\) |
−0.636952 | − | 0.770904i | \(-0.719805\pi\) | |||||||
\(30\) | 0.267921 | + | 2.54910i | 0.0489155 | + | 0.465400i | ||||
\(31\) | −6.28980 | + | 1.33694i | −1.12968 | + | 0.240121i | −0.734584 | − | 0.678518i | \(-0.762623\pi\) |
−0.395098 | + | 0.918639i | \(0.629289\pi\) | |||||||
\(32\) | −3.29804 | − | 5.71237i | −0.583016 | − | 1.00981i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.19869 | −0.891568 | ||||||||
\(35\) | 1.37570 | − | 0.966918i | 0.232536 | − | 0.163439i | ||||
\(36\) | −2.02475 | + | 1.47107i | −0.337458 | + | 0.245178i | ||||
\(37\) | 5.54145 | − | 2.46721i | 0.911008 | − | 0.405607i | 0.102934 | − | 0.994688i | \(-0.467177\pi\) |
0.808074 | + | 0.589081i | \(0.200510\pi\) | |||||||
\(38\) | −6.82791 | + | 7.58316i | −1.10763 | + | 1.23015i | ||||
\(39\) | −2.65011 | + | 2.94324i | −0.424357 | + | 0.471296i | ||||
\(40\) | −0.676845 | + | 0.301351i | −0.107019 | + | 0.0476477i | ||||
\(41\) | 6.09648 | − | 4.42935i | 0.952110 | − | 0.691749i | 0.000805217 | − | 1.00000i | \(-0.499744\pi\) |
0.951305 | + | 0.308251i | \(0.0997437\pi\) | |||||||
\(42\) | 9.67842 | + | 4.49223i | 1.49341 | + | 0.693166i | ||||
\(43\) | 4.86718 | 0.742238 | 0.371119 | − | 0.928585i | \(-0.378974\pi\) | ||||
0.371119 | + | 0.928585i | \(0.378974\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.582878 | + | 1.00958i | 0.0868904 | + | 0.150499i | ||||
\(46\) | 3.88572 | − | 0.825934i | 0.572917 | − | 0.121777i | ||||
\(47\) | 0.296259 | + | 2.81872i | 0.0432138 | + | 0.411152i | 0.994650 | + | 0.103305i | \(0.0329418\pi\) |
−0.951436 | + | 0.307847i | \(0.900392\pi\) | |||||||
\(48\) | −8.65763 | − | 6.29014i | −1.24962 | − | 0.907903i | ||||
\(49\) | −0.513073 | − | 6.98117i | −0.0732961 | − | 0.997310i | ||||
\(50\) | 2.60511 | + | 8.01771i | 0.368418 | + | 1.13388i | ||||
\(51\) | −5.69287 | + | 2.53463i | −0.797162 | + | 0.354919i | ||||
\(52\) | 2.24530 | + | 0.999674i | 0.311368 | + | 0.138630i | ||||
\(53\) | −7.30656 | + | 1.55306i | −1.00363 | + | 0.213329i | −0.680282 | − | 0.732950i | \(-0.738143\pi\) |
−0.323351 | + | 0.946279i | \(0.604810\pi\) | |||||||
\(54\) | 2.35071 | − | 4.07155i | 0.319891 | − | 0.554068i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.370450 | + | 3.06197i | −0.0495034 | + | 0.409174i | ||||
\(57\) | −3.77978 | + | 11.6330i | −0.500644 | + | 1.54082i | ||||
\(58\) | 1.99981 | + | 19.0269i | 0.262588 | + | 2.49836i | ||||
\(59\) | −1.23414 | + | 11.7421i | −0.160672 | + | 1.52869i | 0.555943 | + | 0.831220i | \(0.312357\pi\) |
−0.716615 | + | 0.697469i | \(0.754309\pi\) | |||||||
\(60\) | 1.27580 | − | 1.41692i | 0.164705 | − | 0.182924i | ||||
\(61\) | −4.23686 | − | 0.900572i | −0.542474 | − | 0.115306i | −0.0714789 | − | 0.997442i | \(-0.522772\pi\) |
−0.470995 | + | 0.882136i | \(0.656105\pi\) | |||||||
\(62\) | 9.54217 | + | 6.93279i | 1.21186 | + | 0.880465i | ||||
\(63\) | 4.85235 | + | 0.0760860i | 0.611339 | + | 0.00958594i | ||||
\(64\) | −0.730655 | + | 2.24872i | −0.0913318 | + | 0.281090i | ||||
\(65\) | 0.572413 | − | 0.991448i | 0.0709990 | − | 0.122974i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.801309 | + | 1.38791i | 0.0978954 | + | 0.169560i | 0.910813 | − | 0.412818i | \(-0.135456\pi\) |
−0.812918 | + | 0.582378i | \(0.802122\pi\) | |||||||
\(68\) | 2.58765 | + | 2.87387i | 0.313798 | + | 0.348508i | ||||
\(69\) | 3.85240 | − | 2.79893i | 0.463775 | − | 0.336952i | ||||
\(70\) | −3.00648 | − | 0.688484i | −0.359343 | − | 0.0822895i | ||||
\(71\) | 1.32631 | + | 4.08197i | 0.157404 | + | 0.484441i | 0.998397 | − | 0.0566066i | \(-0.0180281\pi\) |
−0.840992 | + | 0.541047i | \(0.818028\pi\) | |||||||
\(72\) | −2.09155 | − | 0.444574i | −0.246492 | − | 0.0523935i | ||||
\(73\) | −1.67177 | + | 15.9058i | −0.195666 | + | 1.86164i | 0.252381 | + | 0.967628i | \(0.418786\pi\) |
−0.448047 | + | 0.894010i | \(0.647880\pi\) | |||||||
\(74\) | −10.1644 | − | 4.52547i | −1.18158 | − | 0.526075i | ||||
\(75\) | 6.76180 | + | 7.50974i | 0.780785 | + | 0.867150i | ||||
\(76\) | 7.59061 | 0.870703 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 7.26456 | 0.822549 | ||||||||
\(79\) | −3.18629 | − | 3.53873i | −0.358485 | − | 0.398138i | 0.536743 | − | 0.843746i | \(-0.319654\pi\) |
−0.895228 | + | 0.445607i | \(0.852988\pi\) | |||||||
\(80\) | 2.82591 | + | 1.25818i | 0.315946 | + | 0.140668i | ||||
\(81\) | 1.16427 | − | 11.0773i | 0.129363 | − | 1.23081i | ||||
\(82\) | −13.5202 | − | 2.87381i | −1.49306 | − | 0.317359i | ||||
\(83\) | 2.85273 | + | 8.77980i | 0.313128 | + | 0.963708i | 0.976518 | + | 0.215435i | \(0.0691168\pi\) |
−0.663391 | + | 0.748273i | \(0.730883\pi\) | |||||||
\(84\) | −2.33409 | − | 7.58630i | −0.254670 | − | 0.827734i | ||||
\(85\) | 1.45729 | − | 1.05878i | 0.158065 | − | 0.114841i | ||||
\(86\) | −5.97372 | − | 6.63449i | −0.644163 | − | 0.715415i | ||||
\(87\) | 11.4665 | + | 19.8606i | 1.22934 | + | 2.12928i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.182224 | + | 0.315621i | −0.0193157 | + | 0.0334558i | −0.875522 | − | 0.483179i | \(-0.839482\pi\) |
0.856206 | + | 0.516635i | \(0.172815\pi\) | |||||||
\(90\) | 0.660765 | − | 2.03363i | 0.0696508 | − | 0.214363i | ||||
\(91\) | −2.31791 | − | 4.16417i | −0.242982 | − | 0.436524i | ||||
\(92\) | −2.39070 | − | 1.73694i | −0.249247 | − | 0.181089i | ||||
\(93\) | 13.8293 | + | 2.93951i | 1.43403 | + | 0.304813i | ||||
\(94\) | 3.47860 | − | 3.86338i | 0.358791 | − | 0.398477i | ||||
\(95\) | 0.369578 | − | 3.51630i | 0.0379179 | − | 0.360764i | ||||
\(96\) | 1.51595 | + | 14.4233i | 0.154721 | + | 1.47207i | ||||
\(97\) | −0.802231 | + | 2.46901i | −0.0814542 | + | 0.250690i | −0.983487 | − | 0.180976i | \(-0.942074\pi\) |
0.902033 | + | 0.431667i | \(0.142074\pi\) | |||||||
\(98\) | −8.88637 | + | 9.26770i | −0.897659 | + | 0.936179i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.13555 | − | 5.43094i | 0.313555 | − | 0.543094i | ||||
\(101\) | −9.68377 | + | 2.05835i | −0.963571 | + | 0.204813i | −0.662728 | − | 0.748860i | \(-0.730601\pi\) |
−0.300843 | + | 0.953674i | \(0.597268\pi\) | |||||||
\(102\) | 10.4421 | + | 4.64913i | 1.03392 | + | 0.460332i | ||||
\(103\) | 5.69287 | − | 2.53463i | 0.560935 | − | 0.249745i | −0.106626 | − | 0.994299i | \(-0.534005\pi\) |
0.667562 | + | 0.744555i | \(0.267338\pi\) | |||||||
\(104\) | 0.648901 | + | 1.99711i | 0.0636300 | + | 0.195833i | ||||
\(105\) | −3.62794 | + | 0.711883i | −0.354051 | + | 0.0694727i | ||||
\(106\) | 11.0847 | + | 8.05349i | 1.07664 | + | 0.782224i | ||||
\(107\) | 1.16014 | + | 11.0380i | 0.112155 | + | 1.06708i | 0.895367 | + | 0.445329i | \(0.146913\pi\) |
−0.783212 | + | 0.621755i | \(0.786420\pi\) | |||||||
\(108\) | −3.42085 | + | 0.727123i | −0.329171 | + | 0.0699675i | ||||
\(109\) | −7.15202 | − | 12.3877i | −0.685039 | − | 1.18652i | −0.973424 | − | 0.229008i | \(-0.926452\pi\) |
0.288385 | − | 0.957514i | \(-0.406882\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −13.3370 | −1.26589 | ||||||||
\(112\) | 10.5354 | − | 7.40484i | 0.995500 | − | 0.699692i | ||||
\(113\) | 7.02989 | − | 5.10751i | 0.661316 | − | 0.480474i | −0.205791 | − | 0.978596i | \(-0.565977\pi\) |
0.867107 | + | 0.498122i | \(0.165977\pi\) | |||||||
\(114\) | 20.4961 | − | 9.12545i | 1.91964 | − | 0.854677i | ||||
\(115\) | −0.921025 | + | 1.02290i | −0.0858861 | + | 0.0953861i | ||||
\(116\) | 9.52282 | − | 10.5762i | 0.884171 | − | 0.981972i | ||||
\(117\) | 3.01839 | − | 1.34387i | 0.279050 | − | 0.124241i | ||||
\(118\) | 17.5205 | − | 12.7294i | 1.61289 | − | 1.17183i | ||||
\(119\) | −0.666809 | − | 7.46900i | −0.0611262 | − | 0.684682i | ||||
\(120\) | 1.62901 | 0.148707 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.97252 | + | 6.88061i | 0.359655 | + | 0.622942i | ||||
\(123\) | −16.2065 | + | 3.44481i | −1.46129 | + | 0.310608i | ||||
\(124\) | −0.917115 | − | 8.72577i | −0.0823594 | − | 0.783597i | ||||
\(125\) | −4.93404 | − | 3.58479i | −0.441314 | − | 0.320633i | ||||
\(126\) | −5.85182 | − | 6.70767i | −0.521321 | − | 0.597567i | ||||
\(127\) | −6.48902 | − | 19.9712i | −0.575808 | − | 1.77215i | −0.633413 | − | 0.773814i | \(-0.718346\pi\) |
0.0576053 | − | 0.998339i | \(-0.481654\pi\) | |||||||
\(128\) | −8.08960 | + | 3.60172i | −0.715027 | + | 0.318350i | ||||
\(129\) | −9.77623 | − | 4.35266i | −0.860749 | − | 0.383230i | ||||
\(130\) | −2.05400 | + | 0.436591i | −0.180148 | + | 0.0382916i | ||||
\(131\) | −6.85071 | + | 11.8658i | −0.598549 | + | 1.03672i | 0.394486 | + | 0.918902i | \(0.370923\pi\) |
−0.993035 | + | 0.117816i | \(0.962411\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.7706 | − | 8.83705i | −1.02064 | − | 0.766270i | ||||
\(134\) | 0.908383 | − | 2.79572i | 0.0784724 | − | 0.241513i | ||||
\(135\) | 0.170278 | + | 1.62008i | 0.0146552 | + | 0.139435i | ||||
\(136\) | −0.345366 | + | 3.28594i | −0.0296149 | + | 0.281767i | ||||
\(137\) | 4.86094 | − | 5.39862i | 0.415298 | − | 0.461235i | −0.498807 | − | 0.866713i | \(-0.666228\pi\) |
0.914105 | + | 0.405478i | \(0.132895\pi\) | |||||||
\(138\) | −8.54349 | − | 1.81597i | −0.727270 | − | 0.154586i | ||||
\(139\) | −2.10556 | − | 1.52978i | −0.178591 | − | 0.129754i | 0.494898 | − | 0.868951i | \(-0.335205\pi\) |
−0.673490 | + | 0.739197i | \(0.735205\pi\) | |||||||
\(140\) | 1.11588 | + | 2.00469i | 0.0943087 | + | 0.169428i | ||||
\(141\) | 1.92568 | − | 5.92663i | 0.162171 | − | 0.499112i | ||||
\(142\) | 3.93632 | − | 6.81790i | 0.330328 | − | 0.572146i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 4.46379 | + | 7.73152i | 0.371983 | + | 0.644293i | ||||
\(145\) | −4.43567 | − | 4.92631i | −0.368363 | − | 0.409108i | ||||
\(146\) | 23.7332 | − | 17.2432i | 1.96418 | − | 1.42706i | ||||
\(147\) | −5.21262 | + | 14.4812i | −0.429930 | + | 1.19439i | ||||
\(148\) | 2.55760 | + | 7.87148i | 0.210233 | + | 0.647032i | ||||
\(149\) | −0.978148 | − | 0.207912i | −0.0801330 | − | 0.0170328i | 0.167671 | − | 0.985843i | \(-0.446375\pi\) |
−0.247804 | + | 0.968810i | \(0.579709\pi\) | |||||||
\(150\) | 1.93750 | − | 18.4341i | 0.158197 | − | 1.50514i | ||||
\(151\) | −1.58540 | − | 0.705867i | −0.129018 | − | 0.0574426i | 0.341212 | − | 0.939986i | \(-0.389163\pi\) |
−0.470230 | + | 0.882544i | \(0.655829\pi\) | |||||||
\(152\) | 4.33949 | + | 4.81949i | 0.351979 | + | 0.390913i | ||||
\(153\) | 5.19869 | 0.420289 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.08680 | −0.328260 | ||||||||
\(156\) | −3.61593 | − | 4.01590i | −0.289506 | − | 0.321529i | ||||
\(157\) | −7.25318 | − | 3.22932i | −0.578867 | − | 0.257728i | 0.0963501 | − | 0.995348i | \(-0.469283\pi\) |
−0.675217 | + | 0.737620i | \(0.735950\pi\) | |||||||
\(158\) | −0.912989 | + | 8.68651i | −0.0726335 | + | 0.691061i | ||||
\(159\) | 16.0649 | + | 3.41469i | 1.27403 | + | 0.270803i | ||||
\(160\) | −1.29544 | − | 3.98697i | −0.102414 | − | 0.315198i | ||||
\(161\) | 1.68503 | + | 5.47670i | 0.132799 | + | 0.431624i | ||||
\(162\) | −16.5285 | + | 12.0086i | −1.29860 | + | 0.943488i | ||||
\(163\) | −10.7097 | − | 11.8944i | −0.838852 | − | 0.931639i | 0.159605 | − | 0.987181i | \(-0.448978\pi\) |
−0.998456 | + | 0.0555417i | \(0.982311\pi\) | |||||||
\(164\) | 5.14101 | + | 8.90449i | 0.401446 | + | 0.695324i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.46652 | − | 14.6644i | 0.657130 | − | 1.13818i | ||||
\(167\) | −0.358217 | + | 1.10248i | −0.0277196 | + | 0.0853122i | −0.963959 | − | 0.266050i | \(-0.914281\pi\) |
0.936240 | + | 0.351362i | \(0.114281\pi\) | |||||||
\(168\) | 3.48237 | − | 5.81901i | 0.268671 | − | 0.448946i | ||||
\(169\) | 7.89219 | + | 5.73401i | 0.607092 | + | 0.441078i | ||||
\(170\) | −3.23184 | − | 0.686948i | −0.247871 | − | 0.0526865i | ||||
\(171\) | 6.82791 | − | 7.58316i | 0.522143 | − | 0.579899i | ||||
\(172\) | −0.694175 | + | 6.60463i | −0.0529303 | + | 0.503598i | ||||
\(173\) | −0.103844 | − | 0.988014i | −0.00789515 | − | 0.0751173i | 0.989865 | − | 0.142013i | \(-0.0453573\pi\) |
−0.997760 | + | 0.0668952i | \(0.978691\pi\) | |||||||
\(174\) | 12.9987 | − | 40.0060i | 0.985431 | − | 3.03285i | ||||
\(175\) | −11.1850 | + | 4.77117i | −0.845503 | + | 0.360667i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 12.9797 | − | 22.4815i | 0.975615 | − | 1.68982i | ||||
\(178\) | 0.653878 | − | 0.138986i | 0.0490103 | − | 0.0104175i | ||||
\(179\) | −17.9621 | − | 7.99723i | −1.34255 | − | 0.597741i | −0.395392 | − | 0.918512i | \(-0.629391\pi\) |
−0.947157 | + | 0.320771i | \(0.896058\pi\) | |||||||
\(180\) | −1.45310 | + | 0.646961i | −0.108308 | + | 0.0482216i | ||||
\(181\) | −7.37705 | − | 22.7042i | −0.548332 | − | 1.68759i | −0.712933 | − | 0.701232i | \(-0.752634\pi\) |
0.164602 | − | 0.986360i | \(-0.447366\pi\) | |||||||
\(182\) | −2.83134 | + | 8.27044i | −0.209873 | + | 0.613046i | ||||
\(183\) | 7.70480 | + | 5.59787i | 0.569555 | + | 0.413806i | ||||
\(184\) | −0.263908 | − | 2.51091i | −0.0194555 | − | 0.185107i | ||||
\(185\) | 3.77093 | − | 0.801536i | 0.277244 | − | 0.0589301i | ||||
\(186\) | −12.9665 | − | 22.4587i | −0.950752 | − | 1.64675i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −3.86718 | −0.282043 | ||||||||
\(189\) | 6.15114 | + | 2.85505i | 0.447429 | + | 0.207674i | ||||
\(190\) | −5.24669 | + | 3.81194i | −0.380635 | + | 0.276548i | ||||
\(191\) | −10.1693 | + | 4.52769i | −0.735828 | + | 0.327612i | −0.740207 | − | 0.672379i | \(-0.765273\pi\) |
0.00437921 | + | 0.999990i | \(0.498606\pi\) | |||||||
\(192\) | 3.47860 | − | 3.86338i | 0.251047 | − | 0.278815i | ||||
\(193\) | −2.41865 | + | 2.68619i | −0.174098 | + | 0.193356i | −0.823879 | − | 0.566766i | \(-0.808194\pi\) |
0.649780 | + | 0.760122i | \(0.274861\pi\) | |||||||
\(194\) | 4.35015 | − | 1.93681i | 0.312322 | − | 0.139055i | ||||
\(195\) | −2.03639 | + | 1.47952i | −0.145829 | + | 0.105951i | ||||
\(196\) | 9.54644 | + | 0.299454i | 0.681889 | + | 0.0213896i | ||||
\(197\) | −2.41831 | −0.172298 | −0.0861489 | − | 0.996282i | \(-0.527456\pi\) | ||||
−0.0861489 | + | 0.996282i | \(0.527456\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.24809 | + | 16.0182i | 0.655580 | + | 1.13550i | 0.981748 | + | 0.190186i | \(0.0609091\pi\) |
−0.326168 | + | 0.945312i | \(0.605758\pi\) | |||||||
\(200\) | 5.24082 | − | 1.11397i | 0.370582 | − | 0.0787696i | ||||
\(201\) | −0.368323 | − | 3.50436i | −0.0259795 | − | 0.247178i | ||||
\(202\) | 14.6911 | + | 10.6737i | 1.03366 | + | 0.751000i | ||||
\(203\) | −27.0796 | + | 5.31363i | −1.90062 | + | 0.372943i | ||||
\(204\) | −2.62749 | − | 8.08658i | −0.183961 | − | 0.566174i | ||||
\(205\) | 4.37525 | − | 1.94799i | 0.305581 | − | 0.136053i | ||||
\(206\) | −10.4421 | − | 4.64913i | −0.727537 | − | 0.323920i | ||||
\(207\) | −3.88572 | + | 0.825934i | −0.270076 | + | 0.0574064i | ||||
\(208\) | 4.38364 | − | 7.59270i | 0.303951 | − | 0.526459i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 5.42312 | + | 4.07155i | 0.374231 | + | 0.280964i | ||||
\(211\) | 2.42738 | − | 7.47072i | 0.167108 | − | 0.514305i | −0.832078 | − | 0.554659i | \(-0.812849\pi\) |
0.999185 | + | 0.0403541i | \(0.0128486\pi\) | |||||||
\(212\) | −1.06537 | − | 10.1363i | −0.0731699 | − | 0.696165i | ||||
\(213\) | 0.986421 | − | 9.38516i | 0.0675884 | − | 0.643061i | ||||
\(214\) | 13.6221 | − | 15.1289i | 0.931187 | − | 1.03419i | ||||
\(215\) | 3.02575 | + | 0.643142i | 0.206354 | + | 0.0438619i | ||||
\(216\) | −2.41734 | − | 1.75630i | −0.164479 | − | 0.119501i | ||||
\(217\) | −8.73646 | + | 14.5985i | −0.593070 | + | 0.991013i | ||||
\(218\) | −8.10771 | + | 24.9530i | −0.549123 | + | 1.69003i | ||||
\(219\) | 17.5823 | − | 30.4535i | 1.18810 | − | 2.05786i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.55267 | − | 4.42136i | −0.171711 | − | 0.297413i | ||||
\(222\) | 16.3691 | + | 18.1797i | 1.09862 | + | 1.22014i | ||||
\(223\) | −16.4530 | + | 11.9538i | −1.10177 | + | 0.800484i | −0.981348 | − | 0.192239i | \(-0.938425\pi\) |
−0.120423 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(224\) | −17.0112 | − | 3.89557i | −1.13661 | − | 0.260284i | ||||
\(225\) | −2.60511 | − | 8.01771i | −0.173674 | − | 0.534514i | ||||
\(226\) | −15.5902 | − | 3.31380i | −1.03705 | − | 0.220431i | ||||
\(227\) | 0.754656 | − | 7.18007i | 0.0500883 | − | 0.476558i | −0.940511 | − | 0.339763i | \(-0.889653\pi\) |
0.990599 | − | 0.136795i | \(-0.0436802\pi\) | |||||||
\(228\) | −15.2465 | − | 6.78820i | −1.00973 | − | 0.449559i | ||||
\(229\) | 8.07729 | + | 8.97074i | 0.533763 | + | 0.592804i | 0.948358 | − | 0.317202i | \(-0.102743\pi\) |
−0.414595 | + | 0.910006i | \(0.636077\pi\) | |||||||
\(230\) | 2.52475 | 0.166477 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.1592 | 0.798291 | ||||||||
\(233\) | 5.04672 | + | 5.60495i | 0.330622 | + | 0.367193i | 0.885420 | − | 0.464793i | \(-0.153871\pi\) |
−0.554798 | + | 0.831985i | \(0.687204\pi\) | |||||||
\(234\) | −5.53646 | − | 2.46499i | −0.361930 | − | 0.161141i | ||||
\(235\) | −0.188288 | + | 1.79144i | −0.0122826 | + | 0.116861i | ||||
\(236\) | −15.7577 | − | 3.34940i | −1.02574 | − | 0.218027i | ||||
\(237\) | 3.23534 | + | 9.95737i | 0.210158 | + | 0.646800i | ||||
\(238\) | −9.36264 | + | 10.0760i | −0.606890 | + | 0.653130i | ||||
\(239\) | −7.96578 | + | 5.78748i | −0.515264 | + | 0.374361i | −0.814817 | − | 0.579719i | \(-0.803162\pi\) |
0.299553 | + | 0.954080i | \(0.403162\pi\) | |||||||
\(240\) | −4.55096 | − | 5.05436i | −0.293763 | − | 0.326257i | ||||
\(241\) | −0.837515 | − | 1.45062i | −0.0539491 | − | 0.0934426i | 0.837790 | − | 0.545993i | \(-0.183848\pi\) |
−0.891739 | + | 0.452551i | \(0.850514\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −8.40011 | + | 14.5494i | −0.538867 | + | 0.933346i | ||||
\(244\) | 1.82633 | − | 5.62086i | 0.116919 | − | 0.359839i | ||||
\(245\) | 0.603524 | − | 4.40774i | 0.0385577 | − | 0.281600i | ||||
\(246\) | 24.5867 | + | 17.8633i | 1.56759 | + | 1.13892i | ||||
\(247\) | −9.80195 | − | 2.08347i | −0.623683 | − | 0.132568i | ||||
\(248\) | 5.01593 | − | 5.57075i | 0.318512 | − | 0.353743i | ||||
\(249\) | 2.12167 | − | 20.1863i | 0.134455 | − | 1.27925i | ||||
\(250\) | 1.16933 | + | 11.1254i | 0.0739548 | + | 0.703632i | ||||
\(251\) | 6.11045 | − | 18.8060i | 0.385688 | − | 1.18703i | −0.550292 | − | 0.834973i | \(-0.685483\pi\) |
0.935980 | − | 0.352054i | \(-0.114517\pi\) | |||||||
\(252\) | −0.795307 | + | 6.57367i | −0.0500997 | + | 0.414102i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −19.2586 | + | 33.3568i | −1.20839 | + | 2.09299i | ||||
\(255\) | −3.87397 | + | 0.823439i | −0.242598 | + | 0.0515657i | ||||
\(256\) | 19.1584 | + | 8.52985i | 1.19740 | + | 0.533116i | ||||
\(257\) | 2.48481 | − | 1.10631i | 0.154998 | − | 0.0690097i | −0.327771 | − | 0.944757i | \(-0.606298\pi\) |
0.482770 | + | 0.875747i | \(0.339631\pi\) | |||||||
\(258\) | 6.06570 | + | 18.6683i | 0.377634 | + | 1.16224i | ||||
\(259\) | 5.19804 | − | 15.1837i | 0.322990 | − | 0.943467i | ||||
\(260\) | 1.26373 | + | 0.918153i | 0.0783731 | + | 0.0569414i | ||||
\(261\) | −1.99981 | − | 19.0269i | −0.123785 | − | 1.17774i | ||||
\(262\) | 24.5825 | − | 5.22518i | 1.51871 | − | 0.322813i | ||||
\(263\) | 6.34744 | + | 10.9941i | 0.391400 | + | 0.677924i | 0.992634 | − | 0.121148i | \(-0.0386576\pi\) |
−0.601235 | + | 0.799073i | \(0.705324\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.74744 | −0.291633 | ||||||||
\(266\) | 2.40072 | + | 26.8907i | 0.147197 | + | 1.64877i | ||||
\(267\) | 0.648272 | − | 0.470997i | 0.0396736 | − | 0.0288246i | ||||
\(268\) | −1.99764 | + | 0.889406i | −0.122025 | + | 0.0543291i | ||||
\(269\) | −4.74637 | + | 5.27138i | −0.289392 | + | 0.321402i | −0.870257 | − | 0.492598i | \(-0.836047\pi\) |
0.580866 | + | 0.813999i | \(0.302714\pi\) | |||||||
\(270\) | 1.99936 | − | 2.22051i | 0.121677 | − | 0.135136i | ||||
\(271\) | 16.6413 | − | 7.40918i | 1.01089 | − | 0.450075i | 0.166632 | − | 0.986019i | \(-0.446711\pi\) |
0.844254 | + | 0.535944i | \(0.180044\pi\) | |||||||
\(272\) | 11.1602 | − | 8.10836i | 0.676686 | − | 0.491642i | ||||
\(273\) | 0.931787 | + | 10.4370i | 0.0563943 | + | 0.631679i | ||||
\(274\) | −13.3250 | −0.804991 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.24864 | + | 5.62680i | 0.195545 | + | 0.338694i | ||||
\(277\) | 13.5460 | − | 2.87929i | 0.813901 | − | 0.173000i | 0.217887 | − | 0.975974i | \(-0.430084\pi\) |
0.596014 | + | 0.802974i | \(0.296750\pi\) | |||||||
\(278\) | 0.499001 | + | 4.74768i | 0.0299281 | + | 0.284747i | ||||
\(279\) | −9.54217 | − | 6.93279i | −0.571274 | − | 0.415055i | ||||
\(280\) | −0.634900 | + | 1.85457i | −0.0379425 | + | 0.110832i | ||||
\(281\) | −6.49953 | − | 20.0035i | −0.387730 | − | 1.19331i | −0.934481 | − | 0.356014i | \(-0.884136\pi\) |
0.546751 | − | 0.837295i | \(-0.315864\pi\) | |||||||
\(282\) | −10.4421 | + | 4.64913i | −0.621819 | + | 0.276852i | ||||
\(283\) | −0.321975 | − | 0.143352i | −0.0191394 | − | 0.00852141i | 0.397145 | − | 0.917756i | \(-0.370001\pi\) |
−0.416284 | + | 0.909235i | \(0.636668\pi\) | |||||||
\(284\) | −5.72829 | + | 1.21758i | −0.339911 | + | 0.0722504i | ||||
\(285\) | −3.88692 | + | 6.73234i | −0.230241 | + | 0.398789i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.39465 | − | 19.7932i | 0.141352 | − | 1.16835i | ||||
\(288\) | 3.73874 | − | 11.5066i | 0.220307 | − | 0.678036i | ||||
\(289\) | 0.937314 | + | 8.91794i | 0.0551361 | + | 0.524585i | ||||
\(290\) | −1.27098 | + | 12.0926i | −0.0746347 | + | 0.710102i | ||||
\(291\) | 3.81937 | − | 4.24184i | 0.223896 | − | 0.248661i | ||||
\(292\) | −21.3454 | − | 4.53710i | −1.24914 | − | 0.265514i | ||||
\(293\) | −2.80183 | − | 2.03565i | −0.163685 | − | 0.118924i | 0.502928 | − | 0.864329i | \(-0.332256\pi\) |
−0.666612 | + | 0.745405i | \(0.732256\pi\) | |||||||
\(294\) | 26.1372 | − | 10.6682i | 1.52435 | − | 0.622180i | ||||
\(295\) | −2.31881 | + | 7.13655i | −0.135006 | + | 0.415506i | ||||
\(296\) | −3.53566 | + | 6.12395i | −0.205506 | + | 0.355947i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.917122 | + | 1.58850i | 0.0531274 | + | 0.0920194i | ||||
\(299\) | 2.61041 | + | 2.89915i | 0.150964 | + | 0.167662i | ||||
\(300\) | −11.1549 | + | 8.10451i | −0.644029 | + | 0.467914i | ||||
\(301\) | 8.76560 | − | 9.43346i | 0.505241 | − | 0.543736i | ||||
\(302\) | 0.983669 | + | 3.02742i | 0.0566038 | + | 0.174209i | ||||
\(303\) | 21.2916 | + | 4.52567i | 1.22317 | + | 0.259993i | ||||
\(304\) | 2.83029 | − | 26.9285i | 0.162329 | − | 1.54445i | ||||
\(305\) | −2.51490 | − | 1.11971i | −0.144003 | − | 0.0641142i | ||||
\(306\) | −6.38060 | − | 7.08638i | −0.364755 | − | 0.405101i | ||||
\(307\) | 6.51473 | 0.371815 | 0.185908 | − | 0.982567i | \(-0.440477\pi\) | ||||
0.185908 | + | 0.982567i | \(0.440477\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.7014 | −0.779447 | ||||||||
\(310\) | 5.01593 | + | 5.57075i | 0.284886 | + | 0.316397i | ||||
\(311\) | 10.6246 | + | 4.73038i | 0.602467 | + | 0.268236i | 0.685222 | − | 0.728334i | \(-0.259705\pi\) |
−0.0827550 | + | 0.996570i | \(0.526372\pi\) | |||||||
\(312\) | 0.482608 | − | 4.59171i | 0.0273223 | − | 0.259955i | ||||
\(313\) | 26.5056 | + | 5.63393i | 1.49818 | + | 0.318449i | 0.882789 | − | 0.469770i | \(-0.155663\pi\) |
0.615395 | + | 0.788219i | \(0.288997\pi\) | |||||||
\(314\) | 4.50026 | + | 13.8504i | 0.253964 | + | 0.781622i | ||||
\(315\) | 3.00648 | + | 0.688484i | 0.169396 | + | 0.0387917i | ||||
\(316\) | 5.25640 | − | 3.81900i | 0.295696 | − | 0.214836i | ||||
\(317\) | 2.58399 | + | 2.86982i | 0.145132 | + | 0.161185i | 0.811328 | − | 0.584592i | \(-0.198745\pi\) |
−0.666196 | + | 0.745777i | \(0.732079\pi\) | |||||||
\(318\) | −15.0626 | − | 26.0892i | −0.844668 | − | 1.46301i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.751365 | + | 1.30140i | −0.0420026 | + | 0.0727506i | ||||
\(321\) | 7.54089 | − | 23.2085i | 0.420892 | − | 1.29537i | ||||
\(322\) | 5.39722 | − | 9.01869i | 0.300775 | − | 0.502592i | ||||
\(323\) | −12.7560 | − | 9.26778i | −0.709763 | − | 0.515673i | ||||
\(324\) | 14.8655 | + | 3.15976i | 0.825861 | + | 0.175542i | ||||
\(325\) | −5.53970 | + | 6.15246i | −0.307287 | + | 0.341277i | ||||
\(326\) | −3.06874 | + | 29.1971i | −0.169962 | + | 1.61708i | ||||
\(327\) | 3.28744 | + | 31.2779i | 0.181796 | + | 1.72967i | ||||
\(328\) | −2.71464 | + | 8.35480i | −0.149891 | + | 0.461316i | ||||
\(329\) | 5.99673 | + | 4.50220i | 0.330610 | + | 0.248214i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.07514 | + | 5.32630i | −0.169025 | + | 0.292760i | −0.938077 | − | 0.346426i | \(-0.887395\pi\) |
0.769052 | + | 0.639186i | \(0.220729\pi\) | |||||||
\(332\) | −12.3208 | + | 2.61887i | −0.676193 | + | 0.143729i | ||||
\(333\) | 10.1644 | + | 4.52547i | 0.557004 | + | 0.247994i | ||||
\(334\) | 1.94245 | − | 0.864835i | 0.106286 | − | 0.0473217i | ||||
\(335\) | 0.314748 | + | 0.968695i | 0.0171965 | + | 0.0529255i | ||||
\(336\) | −27.7835 | + | 5.45174i | −1.51571 | + | 0.297417i | ||||
\(337\) | −9.51464 | − | 6.91279i | −0.518296 | − | 0.376564i | 0.297666 | − | 0.954670i | \(-0.403792\pi\) |
−0.815961 | + | 0.578106i | \(0.803792\pi\) | |||||||
\(338\) | −1.87039 | − | 17.7955i | −0.101736 | − | 0.967950i | ||||
\(339\) | −18.6878 | + | 3.97223i | −1.01498 | + | 0.215742i | ||||
\(340\) | 1.22890 | + | 2.12851i | 0.0666462 | + | 0.115435i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −18.7169 | −1.01209 | ||||||||
\(343\) | −14.4548 | − | 11.5784i | −0.780485 | − | 0.625175i | ||||
\(344\) | −4.59032 | + | 3.33506i | −0.247493 | + | 0.179814i | ||||
\(345\) | 2.76475 | − | 1.23094i | 0.148849 | − | 0.0662718i | ||||
\(346\) | −1.21932 | + | 1.35419i | −0.0655509 | + | 0.0728016i | ||||
\(347\) | 0.562596 | − | 0.624826i | 0.0302018 | − | 0.0335424i | −0.727855 | − | 0.685731i | \(-0.759482\pi\) |
0.758056 | + | 0.652189i | \(0.226149\pi\) | |||||||
\(348\) | −28.5857 | + | 12.7272i | −1.53235 | + | 0.682248i | ||||
\(349\) | 7.38773 | − | 5.36750i | 0.395456 | − | 0.287316i | −0.372231 | − | 0.928140i | \(-0.621407\pi\) |
0.767688 | + | 0.640824i | \(0.221407\pi\) | |||||||
\(350\) | 20.2315 | + | 9.39042i | 1.08142 | + | 0.501939i | ||||
\(351\) | 4.61701 | 0.246438 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.3639 | − | 19.6829i | −0.604840 | − | 1.04761i | −0.992077 | − | 0.125633i | \(-0.959904\pi\) |
0.387237 | − | 0.921980i | \(-0.373429\pi\) | |||||||
\(354\) | −46.5754 | + | 9.89991i | −2.47545 | + | 0.526174i | ||||
\(355\) | 0.285134 | + | 2.71287i | 0.0151333 | + | 0.143984i | ||||
\(356\) | −0.402300 | − | 0.292288i | −0.0213219 | − | 0.0154912i | ||||
\(357\) | −5.34008 | + | 15.5986i | −0.282627 | + | 0.825564i | ||||
\(358\) | 11.1446 | + | 34.2996i | 0.589012 | + | 1.81279i | ||||
\(359\) | 23.9518 | − | 10.6640i | 1.26413 | − | 0.562827i | 0.338396 | − | 0.941004i | \(-0.390116\pi\) |
0.925733 | + | 0.378177i | \(0.123449\pi\) | |||||||
\(360\) | −1.24150 | − | 0.552751i | −0.0654327 | − | 0.0291325i | ||||
\(361\) | −11.6874 | + | 2.48424i | −0.615127 | + | 0.130749i | ||||
\(362\) | −21.8941 | + | 37.9217i | −1.15073 | + | 1.99312i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.98126 | − | 2.55143i | 0.313503 | − | 0.133731i | ||||
\(365\) | −3.14106 | + | 9.66718i | −0.164410 | + | 0.506003i | ||||
\(366\) | −1.82598 | − | 17.3730i | −0.0954454 | − | 0.908102i | ||||
\(367\) | 0.399533 | − | 3.80130i | 0.0208554 | − | 0.198426i | −0.979133 | − | 0.203220i | \(-0.934859\pi\) |
0.999989 | + | 0.00479386i | \(0.00152594\pi\) | |||||||
\(368\) | −7.05339 | + | 7.83358i | −0.367683 | + | 0.408354i | ||||
\(369\) | 13.5202 | + | 2.87381i | 0.703833 | + | 0.149604i | ||||
\(370\) | −5.72082 | − | 4.15642i | −0.297412 | − | 0.216082i | ||||
\(371\) | −10.1487 | + | 16.9584i | −0.526896 | + | 0.880437i | ||||
\(372\) | −5.96123 | + | 18.3468i | −0.309075 | + | 0.951236i | ||||
\(373\) | 7.55387 | − | 13.0837i | 0.391124 | − | 0.677447i | −0.601474 | − | 0.798893i | \(-0.705420\pi\) |
0.992598 | + | 0.121445i | \(0.0387529\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.70469 | + | 11.6129i | 0.346229 | + | 0.599686i | ||||
\(376\) | −2.21083 | − | 2.45538i | −0.114015 | − | 0.126627i | ||||
\(377\) | −15.2000 | + | 11.0434i | −0.782839 | + | 0.568766i | ||||
\(378\) | −3.65785 | − | 11.8888i | −0.188140 | − | 0.611494i | ||||
\(379\) | −3.51552 | − | 10.8196i | −0.180580 | − | 0.555768i | 0.819264 | − | 0.573416i | \(-0.194382\pi\) |
−0.999844 | + | 0.0176481i | \(0.994382\pi\) | |||||||
\(380\) | 4.71881 | + | 1.00301i | 0.242070 | + | 0.0514535i | ||||
\(381\) | −4.82609 | + | 45.9172i | −0.247248 | + | 2.35241i | ||||
\(382\) | 18.6531 | + | 8.30488i | 0.954373 | + | 0.424914i | ||||
\(383\) | 5.94571 | + | 6.60338i | 0.303812 | + | 0.337417i | 0.875647 | − | 0.482951i | \(-0.160435\pi\) |
−0.571836 | + | 0.820368i | \(0.693769\pi\) | |||||||
\(384\) | 19.4698 | 0.993564 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 6.63009 | 0.337463 | ||||||||
\(387\) | 5.97372 | + | 6.63449i | 0.303661 | + | 0.337250i | ||||
\(388\) | −3.23597 | − | 1.44075i | −0.164281 | − | 0.0731428i | ||||
\(389\) | 2.08001 | − | 19.7900i | 0.105461 | − | 1.00339i | −0.805974 | − | 0.591950i | \(-0.798358\pi\) |
0.911435 | − | 0.411443i | \(-0.134975\pi\) | |||||||
\(390\) | 4.51611 | + | 0.959929i | 0.228682 | + | 0.0486079i | ||||
\(391\) | 1.89683 | + | 5.83785i | 0.0959270 | + | 0.295233i | ||||
\(392\) | 5.26749 | + | 6.23250i | 0.266048 | + | 0.314789i | ||||
\(393\) | 24.3718 | − | 17.7071i | 1.22939 | − | 0.893207i | ||||
\(394\) | 2.96811 | + | 3.29642i | 0.149531 | + | 0.166071i | ||||
\(395\) | −1.51320 | − | 2.62093i | −0.0761371 | − | 0.131873i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.4303 | − | 30.1902i | 0.874803 | − | 1.51520i | 0.0178296 | − | 0.999841i | \(-0.494324\pi\) |
0.856973 | − | 0.515361i | \(-0.172342\pi\) | |||||||
\(398\) | 10.4839 | − | 32.2660i | 0.525509 | − | 1.61735i | ||||
\(399\) | 15.7395 | + | 28.2764i | 0.787962 | + | 1.41559i | ||||
\(400\) | −18.0976 | − | 13.1487i | −0.904882 | − | 0.657435i | ||||
\(401\) | −11.1473 | − | 2.36942i | −0.556668 | − | 0.118323i | −0.0790171 | − | 0.996873i | \(-0.525178\pi\) |
−0.477651 | + | 0.878550i | \(0.658511\pi\) | |||||||
\(402\) | −4.32476 | + | 4.80313i | −0.215699 | + | 0.239558i | ||||
\(403\) | −1.21075 | + | 11.5195i | −0.0603118 | + | 0.573829i | ||||
\(404\) | −1.41199 | − | 13.4342i | −0.0702491 | − | 0.668376i | ||||
\(405\) | 2.18752 | − | 6.73249i | 0.108699 | − | 0.334540i | ||||
\(406\) | 40.4792 | + | 30.3908i | 2.00895 | + | 1.50827i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 3.63228 | − | 6.29129i | 0.179825 | − | 0.311465i | ||||
\(409\) | −3.99855 | + | 0.849919i | −0.197716 | + | 0.0420258i | −0.305705 | − | 0.952126i | \(-0.598892\pi\) |
0.107989 | + | 0.994152i | \(0.465559\pi\) | |||||||
\(410\) | −8.02527 | − | 3.57308i | −0.396340 | − | 0.176462i | ||||
\(411\) | −14.5916 | + | 6.49661i | −0.719752 | + | 0.320454i | ||||
\(412\) | 2.62749 | + | 8.08658i | 0.129447 | + | 0.398397i | ||||
\(413\) | 20.5356 | + | 23.5390i | 1.01049 | + | 1.15828i | ||||
\(414\) | 5.89496 | + | 4.28294i | 0.289722 | + | 0.210495i | ||||
\(415\) | 0.613287 | + | 5.83504i | 0.0301051 | + | 0.286431i | ||||
\(416\) | −11.6219 | + | 2.47032i | −0.569812 | + | 0.121117i | ||||
\(417\) | 2.86118 | + | 4.95570i | 0.140112 | + | 0.242682i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 32.8002 | 1.60240 | 0.801198 | − | 0.598399i | \(-0.204196\pi\) | ||||
0.801198 | + | 0.598399i | \(0.204196\pi\) | |||||||
\(420\) | −0.448576 | − | 5.02455i | −0.0218883 | − | 0.245173i | ||||
\(421\) | 6.89386 | − | 5.00868i | 0.335986 | − | 0.244108i | −0.406980 | − | 0.913437i | \(-0.633418\pi\) |
0.742966 | + | 0.669329i | \(0.233418\pi\) | |||||||
\(422\) | −13.1626 | + | 5.86038i | −0.640747 | + | 0.285279i | ||||
\(423\) | −3.47860 | + | 3.86338i | −0.169135 | + | 0.187844i | ||||
\(424\) | 5.82677 | − | 6.47128i | 0.282973 | − | 0.314273i | ||||
\(425\) | −11.9002 | + | 5.29831i | −0.577244 | + | 0.257006i | ||||
\(426\) | −14.0037 | + | 10.1743i | −0.678480 | + | 0.492945i | ||||
\(427\) | −9.37589 | + | 6.58989i | −0.453731 | + | 0.318907i | ||||
\(428\) | −15.1437 | −0.732000 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.83697 | − | 4.91378i | −0.136811 | − | 0.236964i | ||||
\(431\) | −16.3687 | + | 3.47927i | −0.788451 | + | 0.167590i | −0.584503 | − | 0.811391i | \(-0.698711\pi\) |
−0.203948 | + | 0.978982i | \(0.565377\pi\) | |||||||
\(432\) | 1.30402 | + | 12.4069i | 0.0627397 | + | 0.596928i | ||||
\(433\) | 20.9261 | + | 15.2037i | 1.00564 | + | 0.730644i | 0.963291 | − | 0.268459i | \(-0.0865144\pi\) |
0.0423535 | + | 0.999103i | \(0.486514\pi\) | |||||||
\(434\) | 30.6221 | − | 6.00873i | 1.46991 | − | 0.288428i | ||||
\(435\) | 4.50397 | + | 13.8618i | 0.215949 | + | 0.664622i | ||||
\(436\) | 17.8298 | − | 7.93833i | 0.853891 | − | 0.380177i | ||||
\(437\) | 11.0068 | + | 4.90053i | 0.526525 | + | 0.234424i | ||||
\(438\) | −63.0911 | + | 13.4104i | −3.01461 | + | 0.640775i | ||||
\(439\) | −4.78430 | + | 8.28665i | −0.228342 | + | 0.395500i | −0.957317 | − | 0.289040i | \(-0.906664\pi\) |
0.728975 | + | 0.684541i | \(0.239997\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8.88637 | − | 9.26770i | 0.423161 | − | 0.441319i | ||||
\(442\) | −2.89377 | + | 8.90612i | −0.137643 | + | 0.423621i | ||||
\(443\) | −1.98948 | − | 18.9287i | −0.0945232 | − | 0.899328i | −0.934322 | − | 0.356430i | \(-0.883994\pi\) |
0.839799 | − | 0.542898i | \(-0.182673\pi\) | |||||||
\(444\) | 1.90217 | − | 18.0979i | 0.0902729 | − | 0.858889i | ||||
\(445\) | −0.154988 | + | 0.172131i | −0.00734713 | + | 0.00815981i | ||||
\(446\) | 36.4878 | + | 7.75572i | 1.72775 | + | 0.367244i | ||||
\(447\) | 1.77878 | + | 1.29236i | 0.0841333 | + | 0.0611264i | ||||
\(448\) | 3.04255 | + | 5.46600i | 0.143747 | + | 0.258244i | ||||
\(449\) | 10.3034 | − | 31.7105i | 0.486246 | − | 1.49651i | −0.343921 | − | 0.938999i | \(-0.611755\pi\) |
0.830167 | − | 0.557514i | \(-0.188245\pi\) | |||||||
\(450\) | −7.73163 | + | 13.3916i | −0.364472 | + | 0.631285i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 5.92813 | + | 10.2678i | 0.278836 | + | 0.482958i | ||||
\(453\) | 2.55320 | + | 2.83562i | 0.119960 | + | 0.133229i | ||||
\(454\) | −10.7134 | + | 7.78377i | −0.502807 | + | 0.365311i | ||||
\(455\) | −0.890710 | − | 2.89500i | −0.0417571 | − | 0.135720i | ||||
\(456\) | −4.40630 | − | 13.5612i | −0.206344 | − | 0.635062i | ||||
\(457\) | 11.6992 | + | 2.48673i | 0.547263 | + | 0.116324i | 0.473242 | − | 0.880932i | \(-0.343083\pi\) |
0.0740210 | + | 0.997257i | \(0.476417\pi\) | |||||||
\(458\) | 2.31444 | − | 22.0205i | 0.108147 | − | 1.02895i | ||||
\(459\) | 6.63651 | + | 2.95476i | 0.309766 | + | 0.137917i | ||||
\(460\) | −1.25669 | − | 1.39570i | −0.0585935 | − | 0.0650747i | ||||
\(461\) | −12.4896 | −0.581701 | −0.290850 | − | 0.956769i | \(-0.593938\pi\) | ||||
−0.290850 | + | 0.956769i | \(0.593938\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.3095 | 0.572071 | 0.286035 | − | 0.958219i | \(-0.407662\pi\) | ||||
0.286035 | + | 0.958219i | \(0.407662\pi\) | |||||||
\(464\) | −33.9692 | − | 37.7266i | −1.57698 | − | 1.75142i | ||||
\(465\) | 8.20877 | + | 3.65478i | 0.380672 | + | 0.169486i | ||||
\(466\) | 1.44607 | − | 13.7585i | 0.0669880 | − | 0.637348i | ||||
\(467\) | −32.0448 | − | 6.81134i | −1.48286 | − | 0.315191i | −0.605816 | − | 0.795605i | \(-0.707153\pi\) |
−0.877042 | + | 0.480413i | \(0.840487\pi\) | |||||||
\(468\) | 1.39311 | + | 4.28754i | 0.0643964 | + | 0.198192i | ||||
\(469\) | 4.13314 | + | 0.946489i | 0.190851 | + | 0.0437048i | ||||
\(470\) | 2.67302 | − | 1.94206i | 0.123297 | − | 0.0895808i | ||||
\(471\) | 11.6808 | + | 12.9729i | 0.538224 | + | 0.597758i | ||||
\(472\) | −6.88191 | − | 11.9198i | −0.316766 | − | 0.548654i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 9.60208 | − | 16.6313i | 0.441038 | − | 0.763900i | ||||
\(475\) | −7.90113 | + | 24.3172i | −0.362529 | + | 1.11575i | ||||
\(476\) | 10.2303 | + | 0.160414i | 0.468907 | + | 0.00735256i | ||||
\(477\) | −11.0847 | − | 8.05349i | −0.507533 | − | 0.368744i | ||||
\(478\) | 17.6657 | + | 3.75497i | 0.808012 | + | 0.171748i | ||||
\(479\) | −17.3827 | + | 19.3054i | −0.794234 | + | 0.882086i | −0.995235 | − | 0.0975046i | \(-0.968914\pi\) |
0.201001 | + | 0.979591i | \(0.435581\pi\) | |||||||
\(480\) | −0.963464 | + | 9.16674i | −0.0439759 | + | 0.418403i | ||||
\(481\) | −1.14213 | − | 10.8666i | −0.0520767 | − | 0.495476i | ||||
\(482\) | −0.949428 | + | 2.92204i | −0.0432452 | + | 0.133095i | ||||
\(483\) | 1.51320 | − | 12.5074i | 0.0688528 | − | 0.569107i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.824970 | + | 1.42889i | −0.0374600 | + | 0.0648825i | ||||
\(486\) | 30.1423 | − | 6.40694i | 1.36728 | − | 0.290625i | ||||
\(487\) | 13.2790 | + | 5.91219i | 0.601728 | + | 0.267907i | 0.684910 | − | 0.728628i | \(-0.259841\pi\) |
−0.0831816 | + | 0.996534i | \(0.526508\pi\) | |||||||
\(488\) | 4.61294 | − | 2.05381i | 0.208818 | − | 0.0929718i | ||||
\(489\) | 10.8746 | + | 33.4687i | 0.491768 | + | 1.51351i | ||||
\(490\) | −6.74896 | + | 4.58716i | −0.304887 | + | 0.207227i | ||||
\(491\) | −31.8714 | − | 23.1559i | −1.43834 | − | 1.04501i | −0.988387 | − | 0.151958i | \(-0.951442\pi\) |
−0.449949 | − | 0.893054i | \(-0.648558\pi\) | |||||||
\(492\) | −2.36307 | − | 22.4831i | −0.106536 | − | 1.01362i | ||||
\(493\) | −28.9161 | + | 6.14630i | −1.30231 | + | 0.276815i | ||||
\(494\) | 9.19041 | + | 15.9183i | 0.413496 | + | 0.716196i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.2975 | −1.40530 | ||||||||
\(497\) | 10.3002 | + | 4.78084i | 0.462028 | + | 0.214450i | ||||
\(498\) | −30.1201 | + | 21.8836i | −1.34972 | + | 0.980626i | ||||
\(499\) | −23.9628 | + | 10.6689i | −1.07272 | + | 0.477607i | −0.865614 | − | 0.500712i | \(-0.833072\pi\) |
−0.207108 | + | 0.978318i | \(0.566405\pi\) | |||||||
\(500\) | 5.56817 | − | 6.18408i | 0.249016 | − | 0.276560i | ||||
\(501\) | 1.70545 | − | 1.89409i | 0.0761938 | − | 0.0846218i | ||||
\(502\) | −33.1343 | + | 14.7523i | −1.47886 | + | 0.658429i | ||||
\(503\) | 3.19249 | − | 2.31948i | 0.142346 | − | 0.103420i | −0.514333 | − | 0.857590i | \(-0.671961\pi\) |
0.656679 | + | 0.754170i | \(0.271961\pi\) | |||||||
\(504\) | −4.62847 | + | 3.25315i | −0.206169 | + | 0.144907i | ||||
\(505\) | −6.29204 | −0.279992 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.7244 | − | 18.5753i | −0.476289 | − | 0.824956i | ||||
\(508\) | 28.0258 | − | 5.95707i | 1.24344 | − | 0.264302i | ||||
\(509\) | −1.76711 | − | 16.8130i | −0.0783259 | − | 0.745221i | −0.961245 | − | 0.275696i | \(-0.911092\pi\) |
0.882919 | − | 0.469525i | \(-0.155575\pi\) | |||||||
\(510\) | 5.87715 | + | 4.27000i | 0.260245 | + | 0.189079i | ||||
\(511\) | 27.8176 | + | 31.8860i | 1.23058 | + | 1.41055i | ||||
\(512\) | −6.41407 | − | 19.7405i | −0.283465 | − | 0.872414i | ||||
\(513\) | 13.0263 | − | 5.79970i | 0.575127 | − | 0.256063i | ||||
\(514\) | −4.55775 | − | 2.02924i | −0.201034 | − | 0.0895060i | ||||
\(515\) | 3.87397 | − | 0.823439i | 0.170708 | − | 0.0362850i | ||||
\(516\) | 7.30077 | − | 12.6453i | 0.321398 | − | 0.556678i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −27.0768 | + | 11.5502i | −1.18969 | + | 0.507485i | ||||
\(519\) | −0.674987 | + | 2.07740i | −0.0296286 | + | 0.0911876i | ||||
\(520\) | 0.139502 | + | 1.32728i | 0.00611759 | + | 0.0582049i | ||||
\(521\) | −0.162822 | + | 1.54915i | −0.00713336 | + | 0.0678694i | −0.997509 | − | 0.0705329i | \(-0.977530\pi\) |
0.990376 | + | 0.138402i | \(0.0441967\pi\) | |||||||
\(522\) | −23.4813 | + | 26.0786i | −1.02775 | + | 1.14143i | ||||
\(523\) | −12.2295 | − | 2.59946i | −0.534759 | − | 0.113667i | −0.0673866 | − | 0.997727i | \(-0.521466\pi\) |
−0.467373 | + | 0.884060i | \(0.654799\pi\) | |||||||
\(524\) | −15.1245 | − | 10.9886i | −0.660716 | − | 0.480038i | ||||
\(525\) | 26.7329 | + | 0.419179i | 1.16672 | + | 0.0182945i | ||||
\(526\) | 7.19561 | − | 22.1458i | 0.313744 | − | 0.965604i | ||||
\(527\) | −9.11254 | + | 15.7834i | −0.396949 | + | 0.687535i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.15475 | + | 15.8565i | 0.398033 | + | 0.689413i | ||||
\(530\) | 5.82677 | + | 6.47128i | 0.253099 | + | 0.281094i | ||||
\(531\) | −17.5205 | + | 12.7294i | −0.760323 | + | 0.552407i | ||||
\(532\) | 13.6704 | − | 14.7120i | 0.592687 | − | 0.637845i | ||||
\(533\) | −4.19461 | − | 12.9097i | −0.181689 | − | 0.559181i | ||||
\(534\) | −1.43768 | − | 0.305588i | −0.0622144 | − | 0.0132241i | ||||
\(535\) | −0.737330 | + | 7.01522i | −0.0318775 | + | 0.303295i | ||||
\(536\) | −1.70674 | − | 0.759891i | −0.0737200 | − | 0.0328223i | ||||
\(537\) | 28.9269 | + | 32.1266i | 1.24829 | + | 1.38636i | ||||
\(538\) | 13.0109 | 0.560941 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.22270 | −0.0956497 | ||||||||
\(541\) | 11.0822 | + | 12.3080i | 0.476460 | + | 0.529162i | 0.932680 | − | 0.360704i | \(-0.117464\pi\) |
−0.456220 | + | 0.889867i | \(0.650797\pi\) | |||||||
\(542\) | −30.5242 | − | 13.5902i | −1.31113 | − | 0.583750i | ||||
\(543\) | −5.48655 | + | 52.2010i | −0.235450 | + | 2.24016i | ||||
\(544\) | −18.2863 | − | 3.88688i | −0.784021 | − | 0.166649i | ||||
\(545\) | −2.80926 | − | 8.64602i | −0.120336 | − | 0.370355i | ||||
\(546\) | 13.0832 | − | 14.0800i | 0.559909 | − | 0.602569i | ||||
\(547\) | −5.37550 | + | 3.90553i | −0.229840 | + | 0.166988i | −0.696745 | − | 0.717319i | \(-0.745369\pi\) |
0.466905 | + | 0.884307i | \(0.345369\pi\) | |||||||
\(548\) | 6.63250 | + | 7.36614i | 0.283326 | + | 0.314666i | ||||
\(549\) | −3.97252 | − | 6.88061i | −0.169543 | − | 0.293657i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −29.0127 | + | 50.2514i | −1.23598 | + | 2.14078i | ||||
\(552\) | −1.71540 | + | 5.27944i | −0.0730121 | + | 0.224708i | ||||
\(553\) | −12.5971 | − | 0.197525i | −0.535682 | − | 0.00839961i | ||||
\(554\) | −20.5505 | − | 14.9308i | −0.873105 | − | 0.634348i | ||||
\(555\) | −8.29111 | − | 1.76233i | −0.351938 | − | 0.0748067i | ||||
\(556\) | 2.37617 | − | 2.63901i | 0.100772 | − | 0.111919i | ||||
\(557\) | 1.37057 | − | 13.0401i | 0.0580727 | − | 0.552525i | −0.926345 | − | 0.376677i | \(-0.877067\pi\) |
0.984417 | − | 0.175848i | \(-0.0562667\pi\) | |||||||
\(558\) | 2.26142 | + | 21.5160i | 0.0957334 | + | 0.910843i | ||||
\(559\) | 2.70924 | − | 8.33819i | 0.114589 | − | 0.352668i | ||||
\(560\) | 7.52793 | − | 3.21119i | 0.318113 | − | 0.135698i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.2898 | + | 33.4108i | −0.813689 | + | 1.40935i | ||||
\(563\) | 29.8223 | − | 6.33893i | 1.25686 | − | 0.267154i | 0.469105 | − | 0.883142i | \(-0.344577\pi\) |
0.787755 | + | 0.615988i | \(0.211243\pi\) | |||||||
\(564\) | 7.76763 | + | 3.45837i | 0.327076 | + | 0.145624i | ||||
\(565\) | 5.04512 | − | 2.24623i | 0.212250 | − | 0.0944998i | ||||
\(566\) | 0.199770 | + | 0.614830i | 0.00839697 | + | 0.0258432i | ||||
\(567\) | −19.3729 | − | 22.2063i | −0.813586 | − | 0.932577i | ||||
\(568\) | −4.04789 | − | 2.94097i | −0.169846 | − | 0.123400i | ||||
\(569\) | −3.69591 | − | 35.1642i | −0.154940 | − | 1.47416i | −0.745143 | − | 0.666905i | \(-0.767619\pi\) |
0.590202 | − | 0.807255i | \(-0.299048\pi\) | |||||||
\(570\) | 13.9475 | − | 2.96463i | 0.584197 | − | 0.124175i | ||||
\(571\) | −20.6422 | − | 35.7533i | −0.863849 | − | 1.49623i | −0.868185 | − | 0.496240i | \(-0.834713\pi\) |
0.00433587 | − | 0.999991i | \(-0.498620\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 24.4753 | 1.02247 | ||||||||
\(574\) | −29.9193 | + | 21.0289i | −1.24881 | + | 0.877731i | ||||
\(575\) | 8.05294 | − | 5.85080i | 0.335831 | − | 0.243995i | ||||
\(576\) | −3.96202 | + | 1.76401i | −0.165084 | + | 0.0735002i | ||||
\(577\) | 5.82311 | − | 6.46722i | 0.242419 | − | 0.269234i | −0.609641 | − | 0.792678i | \(-0.708686\pi\) |
0.852060 | + | 0.523444i | \(0.175353\pi\) | |||||||
\(578\) | 11.0057 | − | 12.2231i | 0.457777 | − | 0.508413i | ||||
\(579\) | 7.26034 | − | 3.23251i | 0.301730 | − | 0.134339i | ||||
\(580\) | 7.31751 | − | 5.31648i | 0.303843 | − | 0.220755i | ||||
\(581\) | 22.1545 | + | 10.2830i | 0.919122 | + | 0.426610i | ||||
\(582\) | −10.4698 | −0.433987 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −9.32224 | − | 16.1466i | −0.385757 | − | 0.668151i | ||||
\(585\) | 2.05400 | − | 0.436591i | 0.0849225 | − | 0.0180508i | ||||
\(586\) | 0.664011 | + | 6.31765i | 0.0274301 | + | 0.260980i | ||||
\(587\) | 18.6510 | + | 13.5507i | 0.769808 | + | 0.559298i | 0.901903 | − | 0.431939i | \(-0.142170\pi\) |
−0.132095 | + | 0.991237i | \(0.542170\pi\) | |||||||
\(588\) | −18.9072 | − | 9.13876i | −0.779721 | − | 0.376876i | ||||
\(589\) | 11.0544 | + | 34.0219i | 0.455488 | + | 1.40185i | ||||
\(590\) | 12.5739 | − | 5.59825i | 0.517658 | − | 0.230476i | ||||
\(591\) | 4.85744 | + | 2.16267i | 0.199808 | + | 0.0889604i | ||||
\(592\) | 28.8785 | − | 6.13831i | 1.18690 | − | 0.252283i | ||||
\(593\) | 15.0494 | − | 26.0663i | 0.618005 | − | 1.07042i | −0.371844 | − | 0.928295i | \(-0.621275\pi\) |
0.989849 | − | 0.142121i | \(-0.0453921\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.572413 | − | 4.73131i | 0.0234666 | − | 0.193965i | ||||
\(596\) | 0.421638 | − | 1.29767i | 0.0172710 | − | 0.0531545i | ||||
\(597\) | −4.25090 | − | 40.4446i | −0.173978 | − | 1.65529i | ||||
\(598\) | 0.747979 | − | 7.11654i | 0.0305871 | − | 0.291017i | ||||
\(599\) | 19.5731 | − | 21.7381i | 0.799733 | − | 0.888194i | −0.195987 | − | 0.980606i | \(-0.562791\pi\) |
0.995721 | + | 0.0924125i | \(0.0294578\pi\) | |||||||
\(600\) | −11.5229 | − | 2.44928i | −0.470422 | − | 0.0999914i | ||||
\(601\) | −21.6996 | − | 15.7657i | −0.885147 | − | 0.643097i | 0.0494611 | − | 0.998776i | \(-0.484250\pi\) |
−0.934608 | + | 0.355679i | \(0.884250\pi\) | |||||||
\(602\) | −23.6173 | − | 0.370324i | −0.962568 | − | 0.0150933i | ||||
\(603\) | −0.908383 | + | 2.79572i | −0.0369922 | + | 0.113850i | ||||
\(604\) | 1.18396 | − | 2.05068i | 0.0481746 | − | 0.0834409i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −19.9633 | − | 34.5774i | −0.810952 | − | 1.40461i | ||||
\(607\) | −21.5524 | − | 23.9364i | −0.874786 | − | 0.971549i | 0.125001 | − | 0.992157i | \(-0.460107\pi\) |
−0.999788 | + | 0.0206079i | \(0.993440\pi\) | |||||||
\(608\) | −29.6868 | + | 21.5687i | −1.20396 | + | 0.874727i | ||||
\(609\) | 59.1442 | + | 13.5440i | 2.39664 | + | 0.548831i | ||||
\(610\) | 1.56038 | + | 4.80235i | 0.0631779 | + | 0.194442i | ||||
\(611\) | 4.99378 | + | 1.06146i | 0.202027 | + | 0.0429421i | ||||
\(612\) | −0.741456 | + | 7.05449i | −0.0299716 | + | 0.285161i | ||||
\(613\) | −40.7395 | − | 18.1384i | −1.64545 | − | 0.732604i | −0.645929 | − | 0.763397i | \(-0.723530\pi\) |
−0.999526 | + | 0.0307936i | \(0.990197\pi\) | |||||||
\(614\) | −7.99585 | − | 8.88029i | −0.322686 | − | 0.358379i | ||||
\(615\) | −10.5302 | −0.424619 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.531290 | −0.0213889 | −0.0106945 | − | 0.999943i | \(-0.503404\pi\) | ||||
−0.0106945 | + | 0.999943i | \(0.503404\pi\) | |||||||
\(618\) | 16.8164 | + | 18.6765i | 0.676455 | + | 0.751280i | ||||
\(619\) | 38.1362 | + | 16.9793i | 1.53282 | + | 0.682457i | 0.987766 | − | 0.155942i | \(-0.0498412\pi\) |
0.545057 | + | 0.838399i | \(0.316508\pi\) | |||||||
\(620\) | 0.582874 | − | 5.54568i | 0.0234088 | − | 0.222720i | ||||
\(621\) | −5.42983 | − | 1.15415i | −0.217892 | − | 0.0463143i | ||||
\(622\) | −6.59208 | − | 20.2883i | −0.264318 | − | 0.813488i | ||||
\(623\) | 0.283552 | + | 0.921605i | 0.0113603 | + | 0.0369233i | ||||
\(624\) | −15.5951 | + | 11.3305i | −0.624302 | + | 0.453582i | ||||
\(625\) | 12.7832 | + | 14.1972i | 0.511330 | + | 0.567889i | ||||
\(626\) | −24.8519 | − | 43.0448i | −0.993282 | − | 1.72041i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 5.41658 | − | 9.38179i | 0.216145 | − | 0.374374i | ||||
\(629\) | 5.31267 | − | 16.3507i | 0.211830 | − | 0.651945i | ||||
\(630\) | −2.75152 | − | 4.94317i | −0.109623 | − | 0.196940i | ||||
\(631\) | 0.175749 | + | 0.127689i | 0.00699646 | + | 0.00508323i | 0.591278 | − | 0.806468i | \(-0.298624\pi\) |
−0.584282 | + | 0.811551i | \(0.698624\pi\) | |||||||
\(632\) | 5.42983 | + | 1.15415i | 0.215987 | + | 0.0459095i | ||||
\(633\) | −11.5566 | + | 12.8349i | −0.459335 | + | 0.510143i | ||||
\(634\) | 0.740410 | − | 7.04453i | 0.0294054 | − | 0.279774i | ||||
\(635\) | −1.39503 | − | 13.2728i | −0.0553599 | − | 0.526715i | ||||
\(636\) | −6.92488 | + | 21.3126i | −0.274589 | + | 0.845099i | ||||
\(637\) | −12.2454 | − | 3.00700i | −0.485179 | − | 0.119142i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.93632 | + | 6.81790i | −0.155718 | + | 0.269712i | ||||
\(640\) | −5.50494 | + | 1.17011i | −0.217602 | + | 0.0462527i | ||||
\(641\) | −8.85271 | − | 3.94148i | −0.349661 | − | 0.155679i | 0.224388 | − | 0.974500i | \(-0.427962\pi\) |
−0.574049 | + | 0.818821i | \(0.694628\pi\) | |||||||
\(642\) | −40.8910 | + | 18.2058i | −1.61384 | + | 0.718527i | ||||
\(643\) | 5.08742 | + | 15.6575i | 0.200628 | + | 0.617471i | 0.999865 | + | 0.0164538i | \(0.00523763\pi\) |
−0.799236 | + | 0.601017i | \(0.794762\pi\) | |||||||
\(644\) | −7.67206 | + | 1.50543i | −0.302321 | + | 0.0593222i | ||||
\(645\) | −5.50237 | − | 3.99771i | −0.216656 | − | 0.157410i | ||||
\(646\) | 3.02307 | + | 28.7626i | 0.118941 | + | 1.13165i | ||||
\(647\) | −0.854628 | + | 0.181657i | −0.0335989 | + | 0.00714167i | −0.224680 | − | 0.974432i | \(-0.572134\pi\) |
0.191082 | + | 0.981574i | \(0.438801\pi\) | |||||||
\(648\) | 6.49226 | + | 11.2449i | 0.255040 | + | 0.441743i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 15.1856 | 0.595628 | ||||||||
\(651\) | 30.6034 | − | 21.5098i | 1.19944 | − | 0.843034i | ||||
\(652\) | 17.6678 | − | 12.8364i | 0.691925 | − | 0.502713i | ||||
\(653\) | −36.4807 | + | 16.2422i | −1.42760 | + | 0.635608i | −0.967640 | − | 0.252333i | \(-0.918802\pi\) |
−0.459958 | + | 0.887941i | \(0.652135\pi\) | |||||||
\(654\) | 38.6003 | − | 42.8700i | 1.50939 | − | 1.67635i | ||||
\(655\) | −5.82677 | + | 6.47128i | −0.227671 | + | 0.252854i | ||||
\(656\) | 33.5065 | − | 14.9180i | 1.30821 | − | 0.582452i | ||||
\(657\) | −23.7332 | + | 17.2432i | −0.925922 | + | 0.672721i | ||||
\(658\) | −1.22309 | − | 13.7000i | −0.0476810 | − | 0.534080i | ||||
\(659\) | 6.89465 | 0.268578 | 0.134289 | − | 0.990942i | \(-0.457125\pi\) | ||||
0.134289 | + | 0.990942i | \(0.457125\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.0072 | + | 34.6535i | 0.778190 | + | 1.34786i | 0.932984 | + | 0.359917i | \(0.117195\pi\) |
−0.154795 | + | 0.987947i | \(0.549472\pi\) | |||||||
\(662\) | 11.0346 | − | 2.34548i | 0.428872 | − | 0.0911595i | ||||
\(663\) | 1.17334 | + | 11.1636i | 0.0455688 | + | 0.433558i | ||||
\(664\) | −8.70650 | − | 6.32565i | −0.337878 | − | 0.245483i | ||||
\(665\) | −6.14961 | − | 7.04902i | −0.238472 | − | 0.273349i | ||||
\(666\) | −6.30651 | − | 19.4094i | −0.244372 | − | 0.752101i | ||||
\(667\) | 20.6366 | − | 9.18799i | 0.799051 | − | 0.355760i | ||||
\(668\) | −1.44494 | − | 0.643330i | −0.0559065 | − | 0.0248912i | ||||
\(669\) | 43.7376 | − | 9.29671i | 1.69099 | − | 0.359432i | ||||
\(670\) | 0.934131 | − | 1.61796i | 0.0360886 | − | 0.0625073i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 30.6851 | + | 23.0376i | 1.18370 | + | 0.888695i | ||||
\(673\) | −9.69659 | + | 29.8430i | −0.373776 | + | 1.15036i | 0.570524 | + | 0.821281i | \(0.306740\pi\) |
−0.944301 | + | 0.329084i | \(0.893260\pi\) | |||||||
\(674\) | 2.25490 | + | 21.4539i | 0.0868553 | + | 0.826373i | ||||
\(675\) | 1.23138 | − | 11.7158i | 0.0473960 | − | 0.450943i | ||||
\(676\) | −8.90652 | + | 9.89169i | −0.342558 | + | 0.380450i | ||||
\(677\) | −35.7332 | − | 7.59533i | −1.37334 | − | 0.291912i | −0.538601 | − | 0.842561i | \(-0.681047\pi\) |
−0.834737 | + | 0.550649i | \(0.814380\pi\) | |||||||
\(678\) | 28.3511 | + | 20.5983i | 1.08882 | + | 0.791071i | ||||
\(679\) | 3.34060 | + | 6.00146i | 0.128200 | + | 0.230315i | ||||
\(680\) | −0.648901 | + | 1.99711i | −0.0248842 | + | 0.0765858i | ||||
\(681\) | −7.93686 | + | 13.7470i | −0.304141 | + | 0.526788i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.63501 | + | 13.2242i | 0.292146 | + | 0.506011i | 0.974317 | − | 0.225181i | \(-0.0722975\pi\) |
−0.682171 | + | 0.731192i | \(0.738964\pi\) | |||||||
\(684\) | 9.31633 | + | 10.3468i | 0.356219 | + | 0.395621i | ||||
\(685\) | 3.73524 | − | 2.71381i | 0.142716 | − | 0.103689i | ||||
\(686\) | 1.95844 | + | 33.9142i | 0.0747736 | + | 1.29485i | ||||
\(687\) | −8.20166 | − | 25.2421i | −0.312913 | − | 0.963046i | ||||
\(688\) | 23.1717 | + | 4.92531i | 0.883415 | + | 0.187776i | ||||
\(689\) | −1.40647 | + | 13.3817i | −0.0535824 | + | 0.509802i | ||||
\(690\) | −5.07122 | − | 2.25785i | −0.193058 | − | 0.0859549i | ||||
\(691\) | −25.6841 | − | 28.5251i | −0.977069 | − | 1.08515i | −0.996353 | − | 0.0853315i | \(-0.972805\pi\) |
0.0192832 | − | 0.999814i | \(-0.493862\pi\) | |||||||
\(692\) | 1.35552 | 0.0515291 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.54221 | −0.0585414 | ||||||||
\(695\) | −1.10681 | − | 1.22923i | −0.0419836 | − | 0.0466275i | ||||
\(696\) | −24.4230 | − | 10.8738i | −0.925753 | − | 0.412172i | ||||
\(697\) | 2.23251 | − | 21.2409i | 0.0845623 | − | 0.804557i | ||||
\(698\) | −16.3838 | − | 3.48248i | −0.620136 | − | 0.131814i | ||||
\(699\) | −5.12442 | − | 15.7714i | −0.193824 | − | 0.596528i | ||||
\(700\) | −4.87911 | − | 15.8582i | −0.184413 | − | 0.599382i | ||||
\(701\) | 14.4859 | − | 10.5246i | 0.547125 | − | 0.397510i | −0.279599 | − | 0.960117i | \(-0.590202\pi\) |
0.826724 | + | 0.562607i | \(0.190202\pi\) | |||||||
\(702\) | −5.66667 | − | 6.29348i | −0.213875 | − | 0.237532i | ||||
\(703\) | −16.8726 | − | 29.2243i | −0.636364 | − | 1.10221i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.98026 | − | 3.42991i | 0.0745809 | − | 0.129178i | ||||
\(706\) | −12.8824 | + | 39.6480i | −0.484836 | + | 1.49217i | ||||
\(707\) | −13.4507 | + | 22.4759i | −0.505864 | + | 0.845293i | ||||
\(708\) | 28.6556 | + | 20.8195i | 1.07694 | + | 0.782446i | ||||
\(709\) | −33.6477 | − | 7.15203i | −1.26366 | − | 0.268600i | −0.473116 | − | 0.881000i | \(-0.656871\pi\) |
−0.790548 | + | 0.612400i | \(0.790204\pi\) | |||||||
\(710\) | 3.34797 | − | 3.71830i | 0.125647 | − | 0.139545i | ||||
\(711\) | 0.912989 | − | 8.68651i | 0.0342398 | − | 0.325769i | ||||
\(712\) | −0.0444097 | − | 0.422530i | −0.00166433 | − | 0.0158350i | ||||
\(713\) | 4.30353 | − | 13.2449i | 0.161168 | − | 0.496025i | ||||
\(714\) | 27.8167 | − | 11.8658i | 1.04101 | − | 0.444066i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 13.4138 | − | 23.2335i | 0.501299 | − | 0.868276i | ||||
\(717\) | 21.1758 | − | 4.50105i | 0.790824 | − | 0.168095i | ||||
\(718\) | −43.9335 | − | 19.5604i | −1.63958 | − | 0.729989i | ||||
\(719\) | 45.1449 | − | 20.0998i | 1.68362 | − | 0.749596i | 0.683819 | − | 0.729652i | \(-0.260318\pi\) |
0.999801 | − | 0.0199443i | \(-0.00634890\pi\) | |||||||
\(720\) | 1.75335 | + | 5.39624i | 0.0653433 | + | 0.201106i | ||||
\(721\) | 5.34008 | − | 15.5986i | 0.198875 | − | 0.580921i | ||||
\(722\) | 17.7308 | + | 12.8822i | 0.659873 | + | 0.479425i | ||||
\(723\) | 0.384965 | + | 3.66270i | 0.0143170 | + | 0.136217i | ||||
\(724\) | 31.8612 | − | 6.77230i | 1.18411 | − | 0.251691i | ||||
\(725\) | 23.9693 | + | 41.5160i | 0.890196 | + | 1.54186i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.8201 | −0.735086 | −0.367543 | − | 0.930007i | \(-0.619801\pi\) | ||||
−0.367543 | + | 0.930007i | \(0.619801\pi\) | |||||||
\(728\) | 5.03941 | + | 2.33904i | 0.186773 | + | 0.0866905i | ||||
\(729\) | 2.85070 | − | 2.07116i | 0.105582 | − | 0.0767095i | ||||
\(730\) | 17.0326 | − | 7.58339i | 0.630404 | − | 0.280674i | ||||
\(731\) | 9.23050 | − | 10.2515i | 0.341402 | − | 0.379166i | ||||
\(732\) | −8.69505 | + | 9.65683i | −0.321378 | + | 0.356927i | ||||
\(733\) | 27.9979 | − | 12.4655i | 1.03413 | − | 0.460423i | 0.181747 | − | 0.983345i | \(-0.441825\pi\) |
0.852380 | + | 0.522922i | \(0.175158\pi\) | |||||||
\(734\) | −5.67195 | + | 4.12091i | −0.209356 | + | 0.152106i | ||||
\(735\) | −5.15403 | + | 8.31368i | −0.190109 | + | 0.306655i | ||||
\(736\) | 14.2855 | 0.526570 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −12.6767 | − | 21.9566i | −0.466635 | − | 0.808235i | ||||
\(739\) | 16.7282 | − | 3.55568i | 0.615355 | − | 0.130798i | 0.110319 | − | 0.993896i | \(-0.464813\pi\) |
0.505036 | + | 0.863098i | \(0.331479\pi\) | |||||||
\(740\) | 0.549839 | + | 5.23137i | 0.0202125 | + | 0.192309i | ||||
\(741\) | 17.8250 | + | 12.9506i | 0.654818 | + | 0.475753i | ||||
\(742\) | 35.5722 | − | 6.98006i | 1.30590 | − | 0.256246i | ||||
\(743\) | 2.15463 | + | 6.63127i | 0.0790457 | + | 0.243278i | 0.982769 | − | 0.184840i | \(-0.0591768\pi\) |
−0.903723 | + | 0.428118i | \(0.859177\pi\) | |||||||
\(744\) | −15.0569 | + | 6.70375i | −0.552012 | + | 0.245771i | ||||
\(745\) | −0.580606 | − | 0.258502i | −0.0212717 | − | 0.00947079i | ||||
\(746\) | −27.1057 | + | 5.76149i | −0.992410 | + | 0.210943i | ||||
\(747\) | −8.46652 | + | 14.6644i | −0.309774 | + | 0.536544i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 23.4830 | + | 17.6305i | 0.858050 | + | 0.644203i | ||||
\(750\) | 7.60060 | − | 23.3923i | 0.277535 | − | 0.854164i | ||||
\(751\) | −1.59225 | − | 15.1493i | −0.0581021 | − | 0.552804i | −0.984392 | − | 0.175992i | \(-0.943687\pi\) |
0.926290 | − | 0.376813i | \(-0.122980\pi\) | |||||||
\(752\) | −1.44195 | + | 13.7192i | −0.0525823 | + | 0.500288i | ||||
\(753\) | −29.0915 | + | 32.3094i | −1.06015 | + | 1.17742i | ||||
\(754\) | 33.7091 | + | 7.16509i | 1.22761 | + | 0.260937i | ||||
\(755\) | −0.892315 | − | 0.648305i | −0.0324747 | − | 0.0235942i | ||||
\(756\) | −4.75152 | + | 7.93973i | −0.172811 | + | 0.288765i | ||||
\(757\) | −4.49082 | + | 13.8213i | −0.163222 | + | 0.502344i | −0.998901 | − | 0.0468735i | \(-0.985074\pi\) |
0.835679 | + | 0.549218i | \(0.185074\pi\) | |||||||
\(758\) | −10.4336 | + | 18.0715i | −0.378965 | + | 0.656387i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.06086 | + | 3.56952i | 0.0747553 | + | 0.129480i | ||||
\(761\) | 1.14650 | + | 1.27332i | 0.0415607 | + | 0.0461579i | 0.763567 | − | 0.645729i | \(-0.223446\pi\) |
−0.722006 | + | 0.691887i | \(0.756780\pi\) | |||||||
\(762\) | 68.5134 | − | 49.7779i | 2.48198 | − | 1.80326i | ||||
\(763\) | −36.8900 | − | 8.44781i | −1.33551 | − | 0.305831i | ||||
\(764\) | −4.69356 | − | 14.4453i | −0.169807 | − | 0.522612i | ||||
\(765\) | 3.23184 | + | 0.686948i | 0.116847 | + | 0.0248367i | ||||
\(766\) | 1.70367 | − | 16.2093i | 0.0615559 | − | 0.585666i | ||||
\(767\) | 19.4290 | + | 8.65033i | 0.701539 | + | 0.312345i | ||||
\(768\) | −30.8534 | − | 34.2662i | −1.11333 | − | 1.23648i | ||||
\(769\) | 36.5874 | 1.31937 | 0.659687 | − | 0.751540i | \(-0.270689\pi\) | ||||
0.659687 | + | 0.751540i | \(0.270689\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.98037 | −0.215378 | ||||||||
\(772\) | −3.30013 | − | 3.66516i | −0.118774 | − | 0.131912i | ||||
\(773\) | 24.5023 | + | 10.9091i | 0.881288 | + | 0.392375i | 0.796938 | − | 0.604061i | \(-0.206452\pi\) |
0.0843503 | + | 0.996436i | \(0.473119\pi\) | |||||||
\(774\) | 1.71169 | − | 16.2857i | 0.0615255 | − | 0.585376i | ||||
\(775\) | 28.9084 | + | 6.14467i | 1.03842 | + | 0.220723i | ||||
\(776\) | −0.935206 | − | 2.87827i | −0.0335719 | − | 0.103324i | ||||
\(777\) | −24.0194 | + | 25.8494i | −0.861690 | + | 0.927343i | ||||
\(778\) | −29.5288 | + | 21.4540i | −1.05866 | + | 0.769162i | ||||
\(779\) | −28.0513 | − | 31.1541i | −1.00504 | − | 1.11621i | ||||
\(780\) | −1.71724 | − | 2.97434i | −0.0614870 | − | 0.106499i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 5.62955 | − | 9.75067i | 0.201312 | − | 0.348683i | ||||
\(783\) | 8.26137 | − | 25.4259i | 0.295237 | − | 0.908647i | ||||
\(784\) | 4.62190 | − | 33.7553i | 0.165068 | − | 1.20555i | ||||
\(785\) | −4.08232 | − | 2.96598i | −0.145704 | − | 0.105860i | ||||
\(786\) | −54.0494 | − | 11.4886i | −1.92788 | − | 0.409783i | ||||
\(787\) | −3.31326 | + | 3.67975i | −0.118105 | + | 0.131169i | −0.799298 | − | 0.600935i | \(-0.794795\pi\) |
0.681193 | + | 0.732104i | \(0.261462\pi\) | |||||||
\(788\) | 0.344909 | − | 3.28159i | 0.0122869 | − | 0.116902i | ||||
\(789\) | −2.91761 | − | 27.7592i | −0.103870 | − | 0.988254i | ||||
\(790\) | −1.71540 | + | 5.27944i | −0.0610310 | + | 0.187834i | ||||
\(791\) | 2.76129 | − | 22.8236i | 0.0981801 | − | 0.811514i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.90120 | + | 6.75707i | −0.138536 | + | 0.239951i | ||||
\(794\) | −62.5456 | + | 13.2945i | −2.21966 | + | 0.471803i | ||||
\(795\) | 9.53573 | + | 4.24558i | 0.338198 | + | 0.150575i | ||||
\(796\) | −23.0552 | + | 10.2648i | −0.817171 | + | 0.363828i | ||||
\(797\) | −8.24513 | − | 25.3759i | −0.292057 | − | 0.898860i | −0.984194 | − | 0.177094i | \(-0.943330\pi\) |
0.692137 | − | 0.721766i | \(-0.256670\pi\) | |||||||
\(798\) | 19.2259 | − | 56.1597i | 0.680591 | − | 1.98803i | ||||
\(799\) | 6.49878 | + | 4.72164i | 0.229910 | + | 0.167040i | ||||
\(800\) | 3.16889 | + | 30.1500i | 0.112037 | + | 1.06596i | ||||
\(801\) | −0.653878 | + | 0.138986i | −0.0231037 | + | 0.00491083i | ||||
\(802\) | 10.4518 | + | 18.1030i | 0.369066 | + | 0.639240i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 4.80785 | 0.169560 | ||||||||
\(805\) | 0.323836 | + | 3.62732i | 0.0114137 | + | 0.127846i | ||||
\(806\) | 17.1884 | − | 12.4881i | 0.605435 | − | 0.439874i | ||||
\(807\) | 14.2477 | − | 6.34349i | 0.501544 | − | 0.223302i | ||||
\(808\) | 7.72252 | − | 8.57673i | 0.271677 | − | 0.301728i | ||||
\(809\) | 26.4574 | − | 29.3840i | 0.930194 | − | 1.03309i | −0.0691759 | − | 0.997604i | \(-0.522037\pi\) |
0.999370 | − | 0.0354811i | \(-0.0112963\pi\) | |||||||
\(810\) | −11.8620 | + | 5.28128i | −0.416787 | + | 0.185565i | ||||
\(811\) | −27.0651 | + | 19.6640i | −0.950385 | + | 0.690495i | −0.950898 | − | 0.309505i | \(-0.899837\pi\) |
0.000513088 | 1.00000i | \(0.499837\pi\) | ||||||||
\(812\) | −3.34826 | − | 37.5042i | −0.117501 | − | 1.31614i | ||||
\(813\) | −40.0517 | −1.40467 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −5.08615 | − | 8.80947i | −0.178160 | − | 0.308582i | ||||
\(816\) | −29.6676 | + | 6.30605i | −1.03858 | + | 0.220756i | ||||
\(817\) | −2.83029 | − | 26.9285i | −0.0990195 | − | 0.942107i | ||||
\(818\) | 6.06615 | + | 4.40732i | 0.212098 | + | 0.154098i | ||||
\(819\) | 2.83134 | − | 8.27044i | 0.0989349 | − | 0.288993i | ||||
\(820\) | 2.01935 | + | 6.21493i | 0.0705188 | + | 0.217035i | ||||
\(821\) | −51.9460 | + | 23.1278i | −1.81293 | + | 0.807167i | −0.855915 | + | 0.517116i | \(0.827006\pi\) |
−0.957011 | + | 0.290051i | \(0.906328\pi\) | |||||||
\(822\) | 26.7646 | + | 11.9164i | 0.933522 | + | 0.415631i | ||||
\(823\) | 39.2977 | − | 8.35297i | 1.36983 | − | 0.291166i | 0.536481 | − | 0.843913i | \(-0.319753\pi\) |
0.833350 | + | 0.552746i | \(0.186420\pi\) | |||||||
\(824\) | −3.63228 | + | 6.29129i | −0.126536 | + | 0.219168i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.88191 | − | 56.8829i | 0.239452 | − | 1.97921i | ||||
\(827\) | 1.77235 | − | 5.45473i | 0.0616306 | − | 0.189679i | −0.915501 | − | 0.402316i | \(-0.868205\pi\) |
0.977131 | + | 0.212637i | \(0.0682052\pi\) | |||||||
\(828\) | −0.566576 | − | 5.39061i | −0.0196899 | − | 0.187337i | ||||
\(829\) | 3.72080 | − | 35.4011i | 0.129229 | − | 1.22953i | −0.717139 | − | 0.696931i | \(-0.754549\pi\) |
0.846367 | − | 0.532600i | \(-0.178785\pi\) | |||||||
\(830\) | 7.20107 | − | 7.99760i | 0.249953 | − | 0.277601i | ||||
\(831\) | −29.7835 | − | 6.33067i | −1.03318 | − | 0.219609i | ||||
\(832\) | 3.44569 | + | 2.50344i | 0.119458 | + | 0.0867911i | ||||
\(833\) | −15.6771 | − | 12.1590i | −0.543181 | − | 0.421284i | ||||
\(834\) | 3.24350 | − | 9.98247i | 0.112313 | − | 0.345665i | ||||
\(835\) | −0.368370 | + | 0.638036i | −0.0127480 | + | 0.0220801i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.24090 | − | 14.2737i | −0.284847 | − | 0.493370i | ||||
\(838\) | −40.2573 | − | 44.7103i | −1.39067 | − | 1.54449i | ||||
\(839\) | 33.7949 | − | 24.5534i | 1.16673 | − | 0.847678i | 0.176115 | − | 0.984370i | \(-0.443647\pi\) |
0.990614 | + | 0.136692i | \(0.0436471\pi\) | |||||||
\(840\) | 2.93378 | − | 3.15731i | 0.101225 | − | 0.108938i | ||||
\(841\) | 24.6569 | + | 75.8862i | 0.850239 | + | 2.61677i | ||||
\(842\) | −15.2885 | − | 3.24968i | −0.526878 | − | 0.111991i | ||||
\(843\) | −4.83391 | + | 45.9916i | −0.166489 | + | 1.58403i | ||||
\(844\) | 9.79136 | + | 4.35939i | 0.337033 | + | 0.150057i | ||||
\(845\) | 4.14860 | + | 4.60749i | 0.142716 | + | 0.158503i | ||||
\(846\) | 9.53566 | 0.327843 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −36.3568 | −1.24850 | ||||||||
\(849\) | 0.518521 | + | 0.575876i | 0.0177956 | + | 0.0197640i | ||||
\(850\) | 21.8279 | + | 9.71839i | 0.748689 | + | 0.333338i | ||||
\(851\) | −1.37321 | + | 13.0652i | −0.0470731 | + | 0.447870i | ||||
\(852\) | 12.5947 | + | 2.67709i | 0.431488 | + | 0.0917157i | ||||
\(853\) | −15.3851 | − | 47.3504i | −0.526775 | − | 1.62125i | −0.760779 | − | 0.649011i | \(-0.775183\pi\) |
0.234005 | − | 0.972236i | \(-0.424817\pi\) | |||||||
\(854\) | 20.4902 | + | 4.69226i | 0.701161 | + | 0.160566i | ||||
\(855\) | 5.24669 | − | 3.81194i | 0.179433 | − | 0.130366i | ||||
\(856\) | −8.65755 | − | 9.61518i | −0.295909 | − | 0.328640i | ||||
\(857\) | 12.7394 | + | 22.0652i | 0.435168 | + | 0.753734i | 0.997309 | − | 0.0733077i | \(-0.0233555\pi\) |
−0.562141 | + | 0.827041i | \(0.690022\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.08080 | + | 13.9964i | −0.275713 | + | 0.477549i | −0.970315 | − | 0.241845i | \(-0.922247\pi\) |
0.694602 | + | 0.719395i | \(0.255581\pi\) | |||||||
\(860\) | −1.30427 | + | 4.01413i | −0.0444752 | + | 0.136881i | ||||
\(861\) | −22.5107 | + | 37.6151i | −0.767163 | + | 1.28192i | ||||
\(862\) | 24.8327 | + | 18.0420i | 0.845804 | + | 0.614513i | ||||
\(863\) | −2.83568 | − | 0.602742i | −0.0965276 | − | 0.0205176i | 0.159395 | − | 0.987215i | \(-0.449046\pi\) |
−0.255922 | + | 0.966697i | \(0.582379\pi\) | |||||||
\(864\) | 11.3128 | − | 12.5641i | 0.384868 | − | 0.427439i | ||||
\(865\) | 0.0659985 | − | 0.627934i | 0.00224402 | − | 0.0213504i | ||||
\(866\) | −4.95932 | − | 47.1848i | −0.168525 | − | 1.60340i | ||||
\(867\) | 6.09252 | − | 18.7508i | 0.206913 | − | 0.636812i | ||||
\(868\) | −18.5638 | − | 13.9372i | −0.630096 | − | 0.473061i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 13.3672 | − | 23.1526i | 0.453190 | − | 0.784948i | ||||
\(871\) | 2.82373 | − | 0.600201i | 0.0956783 | − | 0.0203370i | ||||
\(872\) | 15.2334 | + | 6.78235i | 0.515868 | + | 0.229679i | ||||
\(873\) | −4.35015 | + | 1.93681i | −0.147230 | + | 0.0655511i | ||||
\(874\) | −6.82919 | − | 21.0181i | −0.231001 | − | 0.710947i | ||||
\(875\) | −15.8340 | + | 3.10698i | −0.535286 | + | 0.105035i | ||||
\(876\) | 38.8169 | + | 28.2022i | 1.31150 | + | 0.952862i | ||||
\(877\) | −0.879591 | − | 8.36875i | −0.0297017 | − | 0.282593i | −0.999284 | − | 0.0378281i | \(-0.987956\pi\) |
0.969583 | − | 0.244764i | \(-0.0787106\pi\) | |||||||
\(878\) | 17.1676 | − | 3.64909i | 0.579379 | − | 0.123151i | ||||
\(879\) | 3.80731 | + | 6.59445i | 0.128417 | + | 0.222425i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 41.5335 | 1.39930 | 0.699649 | − | 0.714486i | \(-0.253340\pi\) | ||||
0.699649 | + | 0.714486i | \(0.253340\pi\) | |||||||
\(882\) | −23.5396 | − | 0.738393i | −0.792618 | − | 0.0248630i | ||||
\(883\) | 45.6894 | − | 33.1953i | 1.53757 | − | 1.11711i | 0.585737 | − | 0.810501i | \(-0.300805\pi\) |
0.951835 | − | 0.306610i | \(-0.0991948\pi\) | |||||||
\(884\) | 6.36374 | − | 2.83332i | 0.214036 | − | 0.0952949i | ||||
\(885\) | 11.0397 | − | 12.2608i | 0.371095 | − | 0.412143i | ||||
\(886\) | −23.3600 | + | 25.9440i | −0.784796 | + | 0.871604i | ||||
\(887\) | 31.5900 | − | 14.0648i | 1.06069 | − | 0.472248i | 0.199164 | − | 0.979966i | \(-0.436177\pi\) |
0.861523 | + | 0.507718i | \(0.169511\pi\) | |||||||
\(888\) | 12.5783 | − | 9.13869i | 0.422101 | − | 0.306674i | ||||
\(889\) | −50.3941 | − | 23.3904i | −1.69017 | − | 0.784489i | ||||
\(890\) | 0.424858 | 0.0142413 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.8744 | − | 24.0311i | −0.464548 | − | 0.804621i | ||||
\(893\) | 15.4227 | − | 3.27820i | 0.516102 | − | 0.109701i | ||||
\(894\) | −0.421556 | − | 4.01084i | −0.0140990 | − | 0.134143i | ||||
\(895\) | −10.1096 | − | 7.34507i | −0.337928 | − | 0.245519i | ||||
\(896\) | −7.58829 | + | 22.1657i | −0.253507 | + | 0.740503i | ||||
\(897\) | −2.65060 | − | 8.15771i | −0.0885010 | − | 0.272378i | ||||
\(898\) | −55.8707 | + | 24.8753i | −1.86443 | + | 0.830098i | ||||
\(899\) | 61.2717 | + | 27.2799i | 2.04353 | + | 0.909836i | ||||
\(900\) | 11.2514 | − | 2.39155i | 0.375046 | − | 0.0797184i | ||||
\(901\) | −10.5856 | + | 18.3348i | −0.352658 | + | 0.610821i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −26.0429 | + | 11.1091i | −0.866652 | + | 0.369688i | ||||
\(904\) | −3.13026 | + | 9.63396i | −0.104111 | + | 0.320421i | ||||
\(905\) | −1.58594 | − | 15.0892i | −0.0527183 | − | 0.501581i | ||||
\(906\) | 0.731586 | − | 6.96057i | 0.0243053 | − | 0.231250i | ||||
\(907\) | 5.62260 | − | 6.24453i | 0.186695 | − | 0.207346i | −0.642530 | − | 0.766260i | \(-0.722115\pi\) |
0.829225 | + | 0.558914i | \(0.188782\pi\) | |||||||
\(908\) | 9.63554 | + | 2.04810i | 0.319767 | + | 0.0679685i | ||||
\(909\) | −14.6911 | − | 10.6737i | −0.487273 | − | 0.354025i | ||||
\(910\) | −2.85298 | + | 4.76730i | −0.0945755 | + | 0.158035i | ||||
\(911\) | −0.183460 | + | 0.564632i | −0.00607830 | + | 0.0187071i | −0.954050 | − | 0.299649i | \(-0.903131\pi\) |
0.947971 | + | 0.318356i | \(0.103131\pi\) | |||||||
\(912\) | −29.7667 | + | 51.5575i | −0.985675 | + | 1.70724i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −10.9693 | − | 18.9993i | −0.362831 | − | 0.628441i | ||||
\(915\) | 4.05010 | + | 4.49809i | 0.133892 | + | 0.148702i | ||||
\(916\) | −13.3251 | + | 9.68123i | −0.440273 | + | 0.319877i | ||||
\(917\) | 10.6601 | + | 34.6477i | 0.352028 | + | 1.14417i | ||||
\(918\) | −4.11764 | − | 12.6728i | −0.135902 | − | 0.418265i | ||||
\(919\) | −15.9800 | − | 3.39665i | −0.527131 | − | 0.112045i | −0.0633436 | − | 0.997992i | \(-0.520176\pi\) |
−0.463787 | + | 0.885947i | \(0.653510\pi\) | |||||||
\(920\) | 0.167727 | − | 1.59582i | 0.00552980 | − | 0.0526125i | ||||
\(921\) | −13.0855 | − | 5.82605i | −0.431183 | − | 0.191975i | ||||
\(922\) | 15.3291 | + | 17.0247i | 0.504838 | + | 0.560680i | ||||
\(923\) | 7.73128 | 0.254478 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −27.8792 | −0.916662 | ||||||||
\(926\) | −15.1080 | − | 16.7792i | −0.496481 | − | 0.551398i | ||||
\(927\) | 10.4421 | + | 4.64913i | 0.342964 | + | 0.152697i | ||||
\(928\) | −7.19147 | + | 68.4223i | −0.236072 | + | 2.24607i | ||||
\(929\) | −8.70668 | − | 1.85066i | −0.285657 | − | 0.0607183i | 0.0628547 | − | 0.998023i | \(-0.479980\pi\) |
−0.348512 | + | 0.937304i | \(0.613313\pi\) | |||||||
\(930\) | −5.09316 | − | 15.6751i | −0.167011 | − | 0.514007i | ||||
\(931\) | −38.3261 | + | 6.89825i | −1.25609 | + | 0.226081i | ||||
\(932\) | −8.32555 | + | 6.04887i | −0.272713 | + | 0.198137i | ||||
\(933\) | −17.1103 | − | 19.0029i | −0.560167 | − | 0.622128i | ||||
\(934\) | 30.0456 | + | 52.0405i | 0.983122 | + | 1.70282i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −1.92585 | + | 3.33567i | −0.0629485 | + | 0.109030i | ||||
\(937\) | −13.9787 | + | 43.0220i | −0.456664 | + | 1.40547i | 0.412506 | + | 0.910955i | \(0.364653\pi\) |
−0.869170 | + | 0.494513i | \(0.835347\pi\) | |||||||
\(938\) | −3.78263 | − | 6.79559i | −0.123507 | − | 0.221884i | ||||
\(939\) | −48.2008 | − | 35.0200i | −1.57298 | − | 1.14283i | ||||
\(940\) | −2.40408 | − | 0.511004i | −0.0784126 | − | 0.0166671i | ||||
\(941\) | 4.63911 | − | 5.15226i | 0.151231 | − | 0.167959i | −0.662769 | − | 0.748824i | \(-0.730619\pi\) |
0.814000 | + | 0.580865i | \(0.197286\pi\) | |||||||
\(942\) | 3.34699 | − | 31.8444i | 0.109051 | − | 1.03755i | ||||
\(943\) | 1.70595 | + | 16.2310i | 0.0555533 | + | 0.528554i | ||||
\(944\) | −17.7579 | + | 54.6531i | −0.577969 | + | 1.77881i | ||||
\(945\) | 3.44668 | + | 2.58768i | 0.112120 | + | 0.0841773i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.3716 | + | 17.9642i | −0.337033 | + | 0.583758i | −0.983873 | − | 0.178867i | \(-0.942757\pi\) |
0.646840 | + | 0.762626i | \(0.276090\pi\) | |||||||
\(948\) | −13.9733 | + | 2.97012i | −0.453832 | + | 0.0964650i | ||||
\(949\) | 26.3185 | + | 11.7177i | 0.854334 | + | 0.380374i | ||||
\(950\) | 42.8444 | − | 19.0756i | 1.39006 | − | 0.618893i | ||||
\(951\) | −2.62378 | − | 8.07516i | −0.0850819 | − | 0.261855i | ||||
\(952\) | 5.74674 | + | 6.58723i | 0.186253 | + | 0.213493i | ||||
\(953\) | 16.3483 | + | 11.8777i | 0.529574 | + | 0.384758i | 0.820198 | − | 0.572079i | \(-0.193863\pi\) |
−0.290625 | + | 0.956837i | \(0.593863\pi\) | |||||||
\(954\) | 2.62698 | + | 24.9941i | 0.0850517 | + | 0.809213i | ||||
\(955\) | −6.92020 | + | 1.47093i | −0.223932 | + | 0.0475983i | ||||
\(956\) | −6.71735 | − | 11.6348i | −0.217254 | − | 0.376296i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 47.6499 | 1.53950 | ||||||||
\(959\) | −1.70912 | − | 19.1441i | −0.0551905 | − | 0.618195i | ||||
\(960\) | 2.67302 | − | 1.94206i | 0.0862715 | − | 0.0626799i | ||||
\(961\) | 9.45426 | − | 4.20931i | 0.304976 | − | 0.135784i | ||||
\(962\) | −13.4106 | + | 14.8940i | −0.432376 | + | 0.480202i | ||||
\(963\) | −13.6221 | + | 15.1289i | −0.438966 | + | 0.487521i | ||||
\(964\) | 2.08790 | − | 0.929593i | 0.0672467 | − | 0.0299402i | ||||
\(965\) | −1.85854 | + | 1.35031i | −0.0598284 | + | 0.0434679i | ||||
\(966\) | −18.9062 | + | 13.2883i | −0.608296 | + | 0.427544i | ||||
\(967\) | 7.98254 | 0.256701 | 0.128351 | − | 0.991729i | \(-0.459032\pi\) | ||||
0.128351 | + | 0.991729i | \(0.459032\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 17.3337 | + | 30.0229i | 0.556839 | + | 0.964473i | ||||
\(970\) | 2.96026 | − | 0.629222i | 0.0950481 | − | 0.0202031i | ||||
\(971\) | 1.44033 | + | 13.7038i | 0.0462223 | + | 0.439776i | 0.993020 | + | 0.117947i | \(0.0376311\pi\) |
−0.946798 | + | 0.321830i | \(0.895702\pi\) | |||||||
\(972\) | −18.5451 | − | 13.4738i | −0.594835 | − | 0.432173i | ||||
\(973\) | −6.75702 | + | 1.32588i | −0.216620 | + | 0.0425057i | ||||
\(974\) | −8.23899 | − | 25.3570i | −0.263994 | − | 0.812491i | ||||
\(975\) | 16.6291 | − | 7.40377i | 0.532558 | − | 0.237110i | ||||
\(976\) | −19.2596 | − | 8.57492i | −0.616484 | − | 0.274477i | ||||
\(977\) | −11.7582 | + | 2.49929i | −0.376180 | + | 0.0799594i | −0.392121 | − | 0.919913i | \(-0.628259\pi\) |
0.0159418 | + | 0.999873i | \(0.494925\pi\) | |||||||
\(978\) | 32.2745 | − | 55.9010i | 1.03202 | − | 1.78752i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 5.89511 | + | 1.44761i | 0.188312 | + | 0.0462423i | ||||
\(981\) | 8.10771 | − | 24.9530i | 0.258859 | − | 0.796686i | ||||
\(982\) | 7.55327 | + | 71.8646i | 0.241034 | + | 2.29329i | ||||
\(983\) | 4.66765 | − | 44.4097i | 0.148875 | − | 1.41645i | −0.623769 | − | 0.781609i | \(-0.714399\pi\) |
0.772643 | − | 0.634840i | \(-0.218934\pi\) | |||||||
\(984\) | 12.9242 | − | 14.3538i | 0.412009 | − | 0.457583i | ||||
\(985\) | −1.50338 | − | 0.319553i | −0.0479016 | − | 0.0101818i | ||||
\(986\) | 43.8681 | + | 31.8721i | 1.39705 | + | 1.01501i | ||||
\(987\) | −8.01879 | − | 14.4059i | −0.255241 | − | 0.458546i | ||||
\(988\) | 4.22520 | − | 13.0038i | 0.134422 | − | 0.413707i | ||||
\(989\) | −5.27056 | + | 9.12888i | −0.167594 | + | 0.290282i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.4830 | + | 19.8891i | 0.364769 | + | 0.631799i | 0.988739 | − | 0.149650i | \(-0.0478146\pi\) |
−0.623970 | + | 0.781448i | \(0.714481\pi\) | |||||||
\(992\) | 28.3811 | + | 31.5204i | 0.901100 | + | 1.00077i | ||||
\(993\) | 10.9400 | − | 7.94837i | 0.347170 | − | 0.252234i | ||||
\(994\) | −6.12516 | − | 19.9081i | −0.194278 | − | 0.631446i | ||||
\(995\) | 3.63258 | + | 11.1799i | 0.115161 | + | 0.354428i | ||||
\(996\) | 27.0897 | + | 5.75809i | 0.858369 | + | 0.182452i | ||||
\(997\) | 0.141006 | − | 1.34159i | 0.00446572 | − | 0.0424884i | −0.992062 | − | 0.125749i | \(-0.959867\pi\) |
0.996528 | + | 0.0832604i | \(0.0265333\pi\) | |||||||
\(998\) | 43.9536 | + | 19.5694i | 1.39133 | + | 0.619458i | ||||
\(999\) | 10.4034 | + | 11.5542i | 0.329150 | + | 0.365558i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))