Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(5,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.bf (of order \(18\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.18 | ||
Character | \(\chi\) | \(=\) | 378.5 |
Dual form | 378.2.bf.a.227.18 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.984808 | − | 0.173648i | 0.696364 | − | 0.122788i | ||||
\(3\) | 0.228430 | − | 1.71692i | 0.131884 | − | 0.991265i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 0.0564431 | − | 0.320105i | 0.0252421 | − | 0.143155i | −0.969582 | − | 0.244767i | \(-0.921289\pi\) |
0.994824 | + | 0.101611i | \(0.0323998\pi\) | |||||||
\(6\) | −0.0731809 | − | 1.73050i | −0.0298760 | − | 0.706475i | ||||
\(7\) | −0.543232 | − | 2.58938i | −0.205322 | − | 0.978694i | ||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | −2.89564 | − | 0.784392i | −0.965213 | − | 0.261464i | ||||
\(10\) | − | 0.325043i | − | 0.102788i | ||||||
\(11\) | 1.60913 | − | 0.283733i | 0.485171 | − | 0.0855487i | 0.0742878 | − | 0.997237i | \(-0.476332\pi\) |
0.410883 | + | 0.911688i | \(0.365221\pi\) | |||||||
\(12\) | −0.372568 | − | 1.69151i | −0.107551 | − | 0.488296i | ||||
\(13\) | −2.07373 | + | 2.47138i | −0.575149 | + | 0.685436i | −0.972679 | − | 0.232153i | \(-0.925423\pi\) |
0.397530 | + | 0.917589i | \(0.369867\pi\) | |||||||
\(14\) | −0.984620 | − | 2.45571i | −0.263151 | − | 0.656317i | ||||
\(15\) | −0.536702 | − | 0.170030i | −0.138576 | − | 0.0439015i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.313516 | 0.0760388 | 0.0380194 | − | 0.999277i | \(-0.487895\pi\) | ||||
0.0380194 | + | 0.999277i | \(0.487895\pi\) | |||||||
\(18\) | −2.98786 | − | 0.269653i | −0.704245 | − | 0.0635578i | ||||
\(19\) | 1.74118i | 0.399455i | 0.979851 | + | 0.199728i | \(0.0640057\pi\) | ||||
−0.979851 | + | 0.199728i | \(0.935994\pi\) | |||||||
\(20\) | −0.0564431 | − | 0.320105i | −0.0126211 | − | 0.0715776i | ||||
\(21\) | −4.56986 | + | 0.341194i | −0.997224 | + | 0.0744546i | ||||
\(22\) | 1.53541 | − | 0.558844i | 0.327351 | − | 0.119146i | ||||
\(23\) | 4.43324 | − | 5.28334i | 0.924395 | − | 1.10165i | −0.0701696 | − | 0.997535i | \(-0.522354\pi\) |
0.994565 | − | 0.104117i | \(-0.0332015\pi\) | |||||||
\(24\) | −0.660635 | − | 1.60111i | −0.134852 | − | 0.326826i | ||||
\(25\) | 4.59918 | + | 1.67397i | 0.919836 | + | 0.334793i | ||||
\(26\) | −1.61308 | + | 2.79393i | −0.316350 | + | 0.547935i | ||||
\(27\) | −2.00819 | + | 4.79241i | −0.386476 | + | 0.922299i | ||||
\(28\) | −1.39609 | − | 2.24743i | −0.263836 | − | 0.424724i | ||||
\(29\) | 0.220617 | + | 0.262921i | 0.0409675 | + | 0.0488231i | 0.786139 | − | 0.618050i | \(-0.212077\pi\) |
−0.745172 | + | 0.666873i | \(0.767632\pi\) | |||||||
\(30\) | −0.558073 | − | 0.0742495i | −0.101890 | − | 0.0135560i | ||||
\(31\) | 0.634301 | + | 1.74273i | 0.113924 | + | 0.313003i | 0.983531 | − | 0.180742i | \(-0.0578498\pi\) |
−0.869607 | + | 0.493745i | \(0.835628\pi\) | |||||||
\(32\) | 0.642788 | − | 0.766044i | 0.113630 | − | 0.135419i | ||||
\(33\) | −0.119574 | − | 2.82756i | −0.0208152 | − | 0.492215i | ||||
\(34\) | 0.308753 | − | 0.0544415i | 0.0529507 | − | 0.00933663i | ||||
\(35\) | −0.859536 | + | 0.0277382i | −0.145288 | + | 0.00468862i | ||||
\(36\) | −2.98929 | + | 0.253280i | −0.498215 | + | 0.0422133i | ||||
\(37\) | 2.64735 | + | 4.58534i | 0.435221 | + | 0.753825i | 0.997314 | − | 0.0732493i | \(-0.0233369\pi\) |
−0.562093 | + | 0.827074i | \(0.690004\pi\) | |||||||
\(38\) | 0.302353 | + | 1.71473i | 0.0490482 | + | 0.278166i | ||||
\(39\) | 3.76946 | + | 4.12497i | 0.603596 | + | 0.660524i | ||||
\(40\) | −0.111171 | − | 0.305441i | −0.0175777 | − | 0.0482944i | ||||
\(41\) | −6.56308 | − | 5.50708i | −1.02498 | − | 0.860062i | −0.0347361 | − | 0.999397i | \(-0.511059\pi\) |
−0.990245 | + | 0.139335i | \(0.955504\pi\) | |||||||
\(42\) | −4.44118 | + | 1.12956i | −0.685289 | + | 0.174295i | ||||
\(43\) | 5.49590 | + | 2.00034i | 0.838116 | + | 0.305049i | 0.725186 | − | 0.688554i | \(-0.241754\pi\) |
0.112931 | + | 0.993603i | \(0.463976\pi\) | |||||||
\(44\) | 1.41504 | − | 0.816976i | 0.213326 | − | 0.123164i | ||||
\(45\) | −0.414527 | + | 0.882635i | −0.0617940 | + | 0.131575i | ||||
\(46\) | 3.44845 | − | 5.97289i | 0.508447 | − | 0.880655i | ||||
\(47\) | −1.94754 | − | 0.708847i | −0.284078 | − | 0.103396i | 0.196051 | − | 0.980594i | \(-0.437188\pi\) |
−0.480129 | + | 0.877198i | \(0.659410\pi\) | |||||||
\(48\) | −0.928629 | − | 1.46207i | −0.134036 | − | 0.211032i | ||||
\(49\) | −6.40980 | + | 2.81327i | −0.915686 | + | 0.401895i | ||||
\(50\) | 4.81999 | + | 0.849894i | 0.681650 | + | 0.120193i | ||||
\(51\) | 0.0716164 | − | 0.538282i | 0.0100283 | − | 0.0753746i | ||||
\(52\) | −1.10341 | + | 3.03159i | −0.153015 | + | 0.420406i | ||||
\(53\) | −0.815750 | + | 0.470974i | −0.112052 | + | 0.0646932i | −0.554979 | − | 0.831865i | \(-0.687274\pi\) |
0.442927 | + | 0.896558i | \(0.353940\pi\) | |||||||
\(54\) | −1.14549 | + | 5.06832i | −0.155881 | + | 0.689711i | ||||
\(55\) | − | 0.531105i | − | 0.0716142i | ||||||
\(56\) | −1.76514 | − | 1.97085i | −0.235877 | − | 0.263367i | ||||
\(57\) | 2.98948 | + | 0.397738i | 0.395966 | + | 0.0526817i | ||||
\(58\) | 0.262921 | + | 0.220617i | 0.0345232 | + | 0.0289684i | ||||
\(59\) | 8.03661 | + | 6.74351i | 1.04628 | + | 0.877931i | 0.992697 | − | 0.120633i | \(-0.0384923\pi\) |
0.0535800 | + | 0.998564i | \(0.482937\pi\) | |||||||
\(60\) | −0.562488 | + | 0.0237869i | −0.0726169 | + | 0.00307088i | ||||
\(61\) | 1.47861 | − | 4.06244i | 0.189316 | − | 0.520142i | −0.808329 | − | 0.588731i | \(-0.799628\pi\) |
0.997645 | + | 0.0685893i | \(0.0218498\pi\) | |||||||
\(62\) | 0.927286 | + | 1.60611i | 0.117765 | + | 0.203976i | ||||
\(63\) | −0.458088 | + | 7.92402i | −0.0577137 | + | 0.998333i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0.674052 | + | 0.803303i | 0.0836058 | + | 0.0996375i | ||||
\(66\) | −0.608758 | − | 2.76384i | −0.0749330 | − | 0.340205i | ||||
\(67\) | −1.76397 | + | 10.0040i | −0.215503 | + | 1.22218i | 0.664529 | + | 0.747263i | \(0.268632\pi\) |
−0.880032 | + | 0.474915i | \(0.842479\pi\) | |||||||
\(68\) | 0.294609 | − | 0.107229i | 0.0357265 | − | 0.0130034i | ||||
\(69\) | −8.05839 | − | 8.81841i | −0.970116 | − | 1.06161i | ||||
\(70\) | −0.841661 | + | 0.176574i | −0.100598 | + | 0.0211046i | ||||
\(71\) | 1.90225 | + | 1.09826i | 0.225755 | + | 0.130340i | 0.608612 | − | 0.793468i | \(-0.291727\pi\) |
−0.382857 | + | 0.923808i | \(0.625060\pi\) | |||||||
\(72\) | −2.89989 | + | 0.768516i | −0.341756 | + | 0.0905705i | ||||
\(73\) | 8.18403 | + | 4.72505i | 0.957868 | + | 0.553026i | 0.895516 | − | 0.445029i | \(-0.146807\pi\) |
0.0623520 | + | 0.998054i | \(0.480140\pi\) | |||||||
\(74\) | 3.40336 | + | 4.05597i | 0.395633 | + | 0.471497i | ||||
\(75\) | 3.92466 | − | 7.51405i | 0.453180 | − | 0.867648i | ||||
\(76\) | 0.595520 | + | 1.63618i | 0.0683108 | + | 0.187682i | ||||
\(77\) | −1.60882 | − | 4.01252i | −0.183342 | − | 0.457269i | ||||
\(78\) | 4.42848 | + | 3.40774i | 0.501427 | + | 0.385851i | ||||
\(79\) | 1.42738 | + | 8.09509i | 0.160593 | + | 0.910768i | 0.953493 | + | 0.301416i | \(0.0974593\pi\) |
−0.792900 | + | 0.609352i | \(0.791430\pi\) | |||||||
\(80\) | −0.162522 | − | 0.281496i | −0.0181705 | − | 0.0314722i | ||||
\(81\) | 7.76946 | + | 4.54263i | 0.863273 | + | 0.504737i | ||||
\(82\) | −7.41967 | − | 4.28375i | −0.819365 | − | 0.473061i | ||||
\(83\) | 6.78095 | − | 5.68989i | 0.744306 | − | 0.624547i | −0.189685 | − | 0.981845i | \(-0.560747\pi\) |
0.933990 | + | 0.357298i | \(0.116302\pi\) | |||||||
\(84\) | −4.17757 | + | 1.88360i | −0.455810 | + | 0.205518i | ||||
\(85\) | 0.0176958 | − | 0.100358i | 0.00191938 | − | 0.0108854i | ||||
\(86\) | 5.75976 | + | 1.01560i | 0.621090 | + | 0.109515i | ||||
\(87\) | 0.501810 | − | 0.318723i | 0.0537996 | − | 0.0341706i | ||||
\(88\) | 1.25168 | − | 1.05028i | 0.133430 | − | 0.111961i | ||||
\(89\) | −2.43599 | −0.258215 | −0.129107 | − | 0.991631i | \(-0.541211\pi\) | ||||
−0.129107 | + | 0.991631i | \(0.541211\pi\) | |||||||
\(90\) | −0.254961 | + | 0.941208i | −0.0268753 | + | 0.0992120i | ||||
\(91\) | 7.52585 | + | 4.02715i | 0.788924 | + | 0.422160i | ||||
\(92\) | 2.35888 | − | 6.48097i | 0.245930 | − | 0.675688i | ||||
\(93\) | 3.13702 | − | 0.690954i | 0.325294 | − | 0.0716486i | ||||
\(94\) | −2.04104 | − | 0.359891i | −0.210518 | − | 0.0371199i | ||||
\(95\) | 0.557362 | + | 0.0982779i | 0.0571841 | + | 0.0100831i | ||||
\(96\) | −1.16841 | − | 1.27860i | −0.119250 | − | 0.130497i | ||||
\(97\) | −5.41579 | + | 14.8798i | −0.549890 | + | 1.51081i | 0.283970 | + | 0.958833i | \(0.408349\pi\) |
−0.833859 | + | 0.551977i | \(0.813874\pi\) | |||||||
\(98\) | −5.82390 | + | 3.88358i | −0.588303 | + | 0.392301i | ||||
\(99\) | −4.88201 | − | 0.440600i | −0.490661 | − | 0.0442819i | ||||
\(100\) | 4.89435 | 0.489435 | ||||||||
\(101\) | −6.87330 | + | 5.76738i | −0.683919 | + | 0.573876i | −0.917148 | − | 0.398546i | \(-0.869515\pi\) |
0.233230 | + | 0.972422i | \(0.425071\pi\) | |||||||
\(102\) | −0.0229434 | − | 0.542541i | −0.00227173 | − | 0.0537195i | ||||
\(103\) | −16.5234 | − | 2.91352i | −1.62810 | − | 0.287078i | −0.716324 | − | 0.697768i | \(-0.754177\pi\) |
−0.911775 | + | 0.410690i | \(0.865288\pi\) | |||||||
\(104\) | −0.560215 | + | 3.17714i | −0.0549336 | + | 0.311544i | ||||
\(105\) | −0.148719 | + | 1.48209i | −0.0145135 | + | 0.144637i | ||||
\(106\) | −0.721573 | + | 0.605472i | −0.0700854 | + | 0.0588086i | ||||
\(107\) | 0.213488 | + | 0.123257i | 0.0206387 | + | 0.0119157i | 0.510284 | − | 0.860006i | \(-0.329540\pi\) |
−0.489645 | + | 0.871922i | \(0.662874\pi\) | |||||||
\(108\) | −0.247981 | + | 5.19023i | −0.0238620 | + | 0.499430i | ||||
\(109\) | −6.82931 | − | 11.8287i | −0.654130 | − | 1.13299i | −0.982111 | − | 0.188302i | \(-0.939702\pi\) |
0.327982 | − | 0.944684i | \(-0.393632\pi\) | |||||||
\(110\) | −0.0922254 | − | 0.523036i | −0.00879334 | − | 0.0498695i | ||||
\(111\) | 8.47740 | − | 3.49786i | 0.804639 | − | 0.332002i | ||||
\(112\) | −2.08056 | − | 1.63440i | −0.196595 | − | 0.154436i | ||||
\(113\) | −5.68165 | − | 15.6102i | −0.534485 | − | 1.46849i | −0.853681 | − | 0.520796i | \(-0.825635\pi\) |
0.319196 | − | 0.947689i | \(-0.396587\pi\) | |||||||
\(114\) | 3.01313 | − | 0.127421i | 0.282205 | − | 0.0119341i | ||||
\(115\) | −1.44100 | − | 1.71731i | −0.134374 | − | 0.160140i | ||||
\(116\) | 0.297236 | + | 0.171609i | 0.0275977 | + | 0.0159335i | ||||
\(117\) | 7.94330 | − | 5.52960i | 0.734359 | − | 0.511211i | ||||
\(118\) | 9.08551 | + | 5.24552i | 0.836389 | + | 0.482890i | ||||
\(119\) | −0.170312 | − | 0.811812i | −0.0156124 | − | 0.0744187i | ||||
\(120\) | −0.549812 | + | 0.121101i | −0.0501908 | + | 0.0110549i | ||||
\(121\) | −7.82783 | + | 2.84910i | −0.711621 | + | 0.259009i | ||||
\(122\) | 0.750709 | − | 4.25748i | 0.0679660 | − | 0.385454i | ||||
\(123\) | −10.9544 | + | 10.0103i | −0.987728 | + | 0.902600i | ||||
\(124\) | 1.19210 | + | 1.42068i | 0.107053 | + | 0.127581i | ||||
\(125\) | 1.60804 | − | 2.78521i | 0.143828 | − | 0.249117i | ||||
\(126\) | 0.924864 | + | 7.88319i | 0.0823934 | + | 0.702290i | ||||
\(127\) | 6.06832 | + | 10.5106i | 0.538476 | + | 0.932668i | 0.998986 | + | 0.0450139i | \(0.0143332\pi\) |
−0.460510 | + | 0.887655i | \(0.652333\pi\) | |||||||
\(128\) | 0.342020 | − | 0.939693i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | 4.68986 | − | 8.97908i | 0.412919 | − | 0.790564i | ||||
\(130\) | 0.803303 | + | 0.674052i | 0.0704544 | + | 0.0591182i | ||||
\(131\) | −12.7840 | − | 10.7270i | −1.11694 | − | 0.937224i | −0.118495 | − | 0.992955i | \(-0.537807\pi\) |
−0.998446 | + | 0.0557304i | \(0.982251\pi\) | |||||||
\(132\) | −1.07945 | − | 2.61614i | −0.0939537 | − | 0.227706i | ||||
\(133\) | 4.50859 | − | 0.945866i | 0.390944 | − | 0.0820170i | ||||
\(134\) | 10.1583i | 0.877542i | ||||||||
\(135\) | 1.42072 | + | 0.913330i | 0.122277 | + | 0.0786069i | ||||
\(136\) | 0.271513 | − | 0.156758i | 0.0232820 | − | 0.0134419i | ||||
\(137\) | −2.92037 | + | 8.02365i | −0.249504 | + | 0.685507i | 0.750201 | + | 0.661210i | \(0.229957\pi\) |
−0.999705 | + | 0.0242966i | \(0.992265\pi\) | |||||||
\(138\) | −9.46726 | − | 7.28511i | −0.805907 | − | 0.620150i | ||||
\(139\) | −14.0047 | − | 2.46940i | −1.18786 | − | 0.209452i | −0.455417 | − | 0.890278i | \(-0.650510\pi\) |
−0.732445 | + | 0.680826i | \(0.761621\pi\) | |||||||
\(140\) | −0.798212 | + | 0.320044i | −0.0674613 | + | 0.0270486i | ||||
\(141\) | −1.66191 | + | 3.18186i | −0.139958 | + | 0.267961i | ||||
\(142\) | 2.06406 | + | 0.751256i | 0.173212 | + | 0.0630440i | ||||
\(143\) | −2.63569 | + | 4.56515i | −0.220407 | + | 0.381757i | ||||
\(144\) | −2.72239 | + | 1.26040i | −0.226866 | + | 0.105034i | ||||
\(145\) | 0.0966145 | − | 0.0557804i | 0.00802340 | − | 0.00463231i | ||||
\(146\) | 8.88019 | + | 3.23213i | 0.734930 | + | 0.267493i | ||||
\(147\) | 3.36597 | + | 11.6478i | 0.277621 | + | 0.960691i | ||||
\(148\) | 4.05597 | + | 3.40336i | 0.333399 | + | 0.279755i | ||||
\(149\) | −7.19436 | − | 19.7663i | −0.589385 | − | 1.61932i | −0.771632 | − | 0.636069i | \(-0.780559\pi\) |
0.182247 | − | 0.983253i | \(-0.441663\pi\) | |||||||
\(150\) | 2.56023 | − | 8.08141i | 0.209042 | − | 0.659844i | ||||
\(151\) | −0.313052 | − | 1.77540i | −0.0254758 | − | 0.144480i | 0.969417 | − | 0.245421i | \(-0.0789260\pi\) |
−0.994892 | + | 0.100940i | \(0.967815\pi\) | |||||||
\(152\) | 0.870592 | + | 1.50791i | 0.0706143 | + | 0.122308i | ||||
\(153\) | −0.907829 | − | 0.245919i | −0.0733936 | − | 0.0198814i | ||||
\(154\) | −2.28115 | − | 3.67219i | −0.183820 | − | 0.295913i | ||||
\(155\) | 0.593658 | − | 0.104678i | 0.0476837 | − | 0.00840793i | ||||
\(156\) | 4.95295 | + | 2.58697i | 0.396554 | + | 0.207124i | ||||
\(157\) | 3.95854 | − | 4.71761i | 0.315926 | − | 0.376506i | −0.584590 | − | 0.811329i | \(-0.698745\pi\) |
0.900516 | + | 0.434823i | \(0.143189\pi\) | |||||||
\(158\) | 2.81139 | + | 7.72424i | 0.223663 | + | 0.614508i | ||||
\(159\) | 0.622283 | + | 1.50816i | 0.0493503 | + | 0.119605i | ||||
\(160\) | −0.208934 | − | 0.248997i | −0.0165177 | − | 0.0196850i | ||||
\(161\) | −16.0889 | − | 8.60929i | −1.26798 | − | 0.678507i | ||||
\(162\) | 8.44024 | + | 3.12447i | 0.663128 | + | 0.245481i | ||||
\(163\) | 10.1368 | − | 17.5575i | 0.793978 | − | 1.37521i | −0.129508 | − | 0.991578i | \(-0.541340\pi\) |
0.923486 | − | 0.383632i | \(-0.125327\pi\) | |||||||
\(164\) | −8.05081 | − | 2.93026i | −0.628663 | − | 0.228815i | ||||
\(165\) | −0.911865 | − | 0.121320i | −0.0709886 | − | 0.00944476i | ||||
\(166\) | 5.68989 | − | 6.78095i | 0.441621 | − | 0.526304i | ||||
\(167\) | 16.8051 | − | 6.11654i | 1.30041 | − | 0.473312i | 0.403283 | − | 0.915076i | \(-0.367869\pi\) |
0.897132 | + | 0.441763i | \(0.145647\pi\) | |||||||
\(168\) | −3.78701 | + | 2.58041i | −0.292175 | + | 0.199083i | ||||
\(169\) | 0.450087 | + | 2.55257i | 0.0346221 | + | 0.196351i | ||||
\(170\) | − | 0.101906i | − | 0.00781585i | ||||||
\(171\) | 1.36577 | − | 5.04184i | 0.104443 | − | 0.385559i | ||||
\(172\) | 5.84861 | 0.445952 | ||||||||
\(173\) | 8.74377 | − | 7.33689i | 0.664777 | − | 0.557814i | −0.246738 | − | 0.969082i | \(-0.579359\pi\) |
0.911514 | + | 0.411269i | \(0.134914\pi\) | |||||||
\(174\) | 0.438840 | − | 0.401019i | 0.0332684 | − | 0.0304012i | ||||
\(175\) | 1.83612 | − | 12.8184i | 0.138797 | − | 0.968979i | ||||
\(176\) | 1.05028 | − | 1.25168i | 0.0791681 | − | 0.0943489i | ||||
\(177\) | 13.4139 | − | 12.2578i | 1.00825 | − | 0.921353i | ||||
\(178\) | −2.39898 | + | 0.423005i | −0.179811 | + | 0.0317056i | ||||
\(179\) | 22.9130i | 1.71260i | 0.516481 | + | 0.856298i | \(0.327242\pi\) | ||||
−0.516481 | + | 0.856298i | \(0.672758\pi\) | |||||||
\(180\) | −0.0876488 | + | 0.971182i | −0.00653296 | + | 0.0723876i | ||||
\(181\) | −12.5658 | + | 7.25486i | −0.934008 | + | 0.539250i | −0.888077 | − | 0.459695i | \(-0.847959\pi\) |
−0.0459309 | + | 0.998945i | \(0.514625\pi\) | |||||||
\(182\) | 8.11082 | + | 2.65912i | 0.601214 | + | 0.197107i | ||||
\(183\) | −6.63713 | − | 3.46664i | −0.490631 | − | 0.256261i | ||||
\(184\) | 1.19763 | − | 6.79213i | 0.0882908 | − | 0.500722i | ||||
\(185\) | 1.61721 | − | 0.588618i | 0.118900 | − | 0.0432760i | ||||
\(186\) | 2.96938 | − | 1.22520i | 0.217725 | − | 0.0898357i | ||||
\(187\) | 0.504487 | − | 0.0889547i | 0.0368918 | − | 0.00650501i | ||||
\(188\) | −2.07253 | −0.151155 | ||||||||
\(189\) | 13.5003 | + | 2.59658i | 0.982001 | + | 0.188874i | ||||
\(190\) | 0.565960 | 0.0410590 | ||||||||
\(191\) | 0.723250 | − | 0.127528i | 0.0523325 | − | 0.00922763i | −0.147421 | − | 0.989074i | \(-0.547097\pi\) |
0.199753 | + | 0.979846i | \(0.435986\pi\) | |||||||
\(192\) | −1.37268 | − | 1.05629i | −0.0990649 | − | 0.0762309i | ||||
\(193\) | −20.5277 | + | 7.47149i | −1.47762 | + | 0.537809i | −0.950158 | − | 0.311770i | \(-0.899078\pi\) |
−0.527461 | + | 0.849579i | \(0.676856\pi\) | |||||||
\(194\) | −2.74967 | + | 15.5941i | −0.197415 | + | 1.11959i | ||||
\(195\) | 1.53318 | − | 0.973795i | 0.109793 | − | 0.0697349i | ||||
\(196\) | −5.06105 | + | 4.83589i | −0.361503 | + | 0.345421i | ||||
\(197\) | 9.69955 | − | 5.60004i | 0.691064 | − | 0.398986i | −0.112946 | − | 0.993601i | \(-0.536029\pi\) |
0.804011 | + | 0.594615i | \(0.202696\pi\) | |||||||
\(198\) | −4.88435 | + | 0.413847i | −0.347116 | + | 0.0294108i | ||||
\(199\) | − | 11.3123i | − | 0.801907i | −0.916098 | − | 0.400954i | \(-0.868679\pi\) | ||
0.916098 | − | 0.400954i | \(-0.131321\pi\) | |||||||
\(200\) | 4.81999 | − | 0.849894i | 0.340825 | − | 0.0600966i | ||||
\(201\) | 16.7731 | + | 5.31379i | 1.18308 | + | 0.374806i | ||||
\(202\) | −5.76738 | + | 6.87330i | −0.405791 | + | 0.483603i | ||||
\(203\) | 0.560956 | − | 0.714087i | 0.0393714 | − | 0.0501191i | ||||
\(204\) | −0.116806 | − | 0.530314i | −0.00817805 | − | 0.0371294i | ||||
\(205\) | −2.13328 | + | 1.79004i | −0.148995 | + | 0.125022i | ||||
\(206\) | −16.7783 | −1.16900 | ||||||||
\(207\) | −16.9813 | + | 11.8212i | −1.18028 | + | 0.821633i | ||||
\(208\) | 3.22615i | 0.223693i | ||||||||
\(209\) | 0.494031 | + | 2.80179i | 0.0341728 | + | 0.193804i | ||||
\(210\) | 0.110903 | + | 1.48540i | 0.00765301 | + | 0.102502i | ||||
\(211\) | 15.0369 | − | 5.47299i | 1.03518 | − | 0.376776i | 0.232132 | − | 0.972684i | \(-0.425430\pi\) |
0.803053 | + | 0.595908i | \(0.203208\pi\) | |||||||
\(212\) | −0.605472 | + | 0.721573i | −0.0415840 | + | 0.0495579i | ||||
\(213\) | 2.32016 | − | 3.01513i | 0.158975 | − | 0.206594i | ||||
\(214\) | 0.231648 | + | 0.0843130i | 0.0158351 | + | 0.00576352i | ||||
\(215\) | 0.950525 | − | 1.64636i | 0.0648253 | − | 0.112281i | ||||
\(216\) | 0.657060 | + | 5.15444i | 0.0447073 | + | 0.350715i | ||||
\(217\) | 4.16802 | − | 2.58915i | 0.282943 | − | 0.175763i | ||||
\(218\) | −8.77960 | − | 10.4631i | −0.594629 | − | 0.708652i | ||||
\(219\) | 9.98202 | − | 12.9720i | 0.674522 | − | 0.876566i | ||||
\(220\) | −0.181649 | − | 0.499075i | −0.0122467 | − | 0.0336476i | ||||
\(221\) | −0.650147 | + | 0.774815i | −0.0437336 | + | 0.0521197i | ||||
\(222\) | 7.74121 | − | 4.91680i | 0.519556 | − | 0.329994i | ||||
\(223\) | −6.38274 | + | 1.12545i | −0.427420 | + | 0.0753656i | −0.383220 | − | 0.923657i | \(-0.625185\pi\) |
−0.0441997 | + | 0.999023i | \(0.514074\pi\) | |||||||
\(224\) | −2.33276 | − | 1.24828i | −0.155864 | − | 0.0834044i | ||||
\(225\) | −12.0045 | − | 8.45476i | −0.800302 | − | 0.563651i | ||||
\(226\) | −8.30602 | − | 14.3864i | −0.552508 | − | 0.956972i | ||||
\(227\) | 4.60722 | + | 26.1288i | 0.305792 | + | 1.73423i | 0.619754 | + | 0.784796i | \(0.287232\pi\) |
−0.313962 | + | 0.949436i | \(0.601656\pi\) | |||||||
\(228\) | 2.94522 | − | 0.648709i | 0.195052 | − | 0.0429618i | ||||
\(229\) | −4.64811 | − | 12.7706i | −0.307156 | − | 0.843903i | −0.993208 | − | 0.116351i | \(-0.962880\pi\) |
0.686053 | − | 0.727552i | \(-0.259342\pi\) | |||||||
\(230\) | −1.71731 | − | 1.44100i | −0.113236 | − | 0.0950164i | ||||
\(231\) | −7.25668 | + | 1.84564i | −0.477454 | + | 0.121434i | ||||
\(232\) | 0.322520 | + | 0.117388i | 0.0211745 | + | 0.00770688i | ||||
\(233\) | 1.63277 | − | 0.942679i | 0.106966 | − | 0.0617570i | −0.445562 | − | 0.895251i | \(-0.646996\pi\) |
0.552529 | + | 0.833494i | \(0.313663\pi\) | |||||||
\(234\) | 6.86242 | − | 6.82493i | 0.448611 | − | 0.446160i | ||||
\(235\) | −0.336831 | + | 0.583408i | −0.0219724 | + | 0.0380574i | ||||
\(236\) | 9.85836 | + | 3.58815i | 0.641725 | + | 0.233569i | ||||
\(237\) | 14.2247 | − | 0.601544i | 0.923993 | − | 0.0390745i | ||||
\(238\) | −0.308694 | − | 0.769905i | −0.0200097 | − | 0.0499055i | ||||
\(239\) | −25.9324 | − | 4.57258i | −1.67743 | − | 0.295776i | −0.747704 | − | 0.664032i | \(-0.768844\pi\) |
−0.929724 | + | 0.368257i | \(0.879955\pi\) | |||||||
\(240\) | −0.520431 | + | 0.214735i | −0.0335936 | + | 0.0138611i | ||||
\(241\) | 4.25602 | − | 11.6933i | 0.274154 | − | 0.753233i | −0.723842 | − | 0.689965i | \(-0.757626\pi\) |
0.997997 | − | 0.0632672i | \(-0.0201520\pi\) | |||||||
\(242\) | −7.21417 | + | 4.16510i | −0.463744 | + | 0.267743i | ||||
\(243\) | 9.57412 | − | 12.3019i | 0.614180 | − | 0.789166i | ||||
\(244\) | − | 4.32316i | − | 0.276762i | ||||||
\(245\) | 0.538752 | + | 2.21060i | 0.0344196 | + | 0.141230i | ||||
\(246\) | −9.04973 | + | 11.7605i | −0.576990 | + | 0.749819i | ||||
\(247\) | −4.30312 | − | 3.61075i | −0.273801 | − | 0.229746i | ||||
\(248\) | 1.42068 | + | 1.19210i | 0.0902136 | + | 0.0756982i | ||||
\(249\) | −8.22013 | − | 12.9421i | −0.520929 | − | 0.820172i | ||||
\(250\) | 1.09997 | − | 3.02214i | 0.0695680 | − | 0.191137i | ||||
\(251\) | 8.49591 | + | 14.7153i | 0.536257 | + | 0.928825i | 0.999101 | + | 0.0423850i | \(0.0134956\pi\) |
−0.462844 | + | 0.886440i | \(0.653171\pi\) | |||||||
\(252\) | 2.27971 | + | 7.60282i | 0.143608 | + | 0.478933i | ||||
\(253\) | 5.63461 | − | 9.75942i | 0.354245 | − | 0.613570i | ||||
\(254\) | 7.80128 | + | 9.29721i | 0.489496 | + | 0.583359i | ||||
\(255\) | −0.168265 | − | 0.0533071i | −0.0105371 | − | 0.00333822i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −24.6847 | + | 8.98449i | −1.53979 | + | 0.560437i | −0.965995 | − | 0.258562i | \(-0.916751\pi\) |
−0.573794 | + | 0.818999i | \(0.694529\pi\) | |||||||
\(258\) | 3.05941 | − | 9.65706i | 0.190470 | − | 0.601222i | ||||
\(259\) | 10.4351 | − | 9.34589i | 0.648404 | − | 0.580725i | ||||
\(260\) | 0.908147 | + | 0.524319i | 0.0563209 | + | 0.0325169i | ||||
\(261\) | −0.432593 | − | 0.934373i | −0.0267769 | − | 0.0578363i | ||||
\(262\) | −14.4525 | − | 8.34414i | −0.892877 | − | 0.515503i | ||||
\(263\) | −5.11190 | − | 6.09213i | −0.315213 | − | 0.375657i | 0.585054 | − | 0.810994i | \(-0.301073\pi\) |
−0.900267 | + | 0.435338i | \(0.856629\pi\) | |||||||
\(264\) | −1.51733 | − | 2.38895i | −0.0933855 | − | 0.147030i | ||||
\(265\) | 0.104717 | + | 0.287709i | 0.00643274 | + | 0.0176738i | ||||
\(266\) | 4.27585 | − | 1.71440i | 0.262169 | − | 0.105117i | ||||
\(267\) | −0.556453 | + | 4.18241i | −0.0340544 | + | 0.255959i | ||||
\(268\) | 1.76397 | + | 10.0040i | 0.107751 | + | 0.611089i | ||||
\(269\) | −1.96788 | − | 3.40846i | −0.119984 | − | 0.207818i | 0.799777 | − | 0.600297i | \(-0.204951\pi\) |
−0.919761 | + | 0.392479i | \(0.871618\pi\) | |||||||
\(270\) | 1.55774 | + | 0.652748i | 0.0948010 | + | 0.0397250i | ||||
\(271\) | −19.2724 | − | 11.1269i | −1.17071 | − | 0.675912i | −0.216865 | − | 0.976202i | \(-0.569583\pi\) |
−0.953848 | + | 0.300290i | \(0.902917\pi\) | |||||||
\(272\) | 0.240167 | − | 0.201524i | 0.0145623 | − | 0.0122192i | ||||
\(273\) | 8.63343 | − | 12.0014i | 0.522519 | − | 0.726356i | ||||
\(274\) | −1.48271 | + | 8.40887i | −0.0895738 | + | 0.507998i | ||||
\(275\) | 7.87563 | + | 1.38869i | 0.474919 | + | 0.0837410i | ||||
\(276\) | −10.5885 | − | 5.53046i | −0.637352 | − | 0.332895i | ||||
\(277\) | 14.4435 | − | 12.1196i | 0.867828 | − | 0.728194i | −0.0958115 | − | 0.995399i | \(-0.530545\pi\) |
0.963640 | + | 0.267205i | \(0.0861002\pi\) | |||||||
\(278\) | −14.2207 | −0.852902 | ||||||||
\(279\) | −0.469725 | − | 5.54385i | −0.0281217 | − | 0.331902i | ||||
\(280\) | −0.730511 | + | 0.453790i | −0.0436564 | + | 0.0271191i | ||||
\(281\) | 4.86888 | − | 13.3771i | 0.290453 | − | 0.798013i | −0.705547 | − | 0.708663i | \(-0.749299\pi\) |
0.996000 | − | 0.0893502i | \(-0.0284790\pi\) | |||||||
\(282\) | −1.08414 | + | 3.42210i | −0.0645596 | + | 0.203783i | ||||
\(283\) | 10.0379 | + | 1.76994i | 0.596688 | + | 0.105212i | 0.463832 | − | 0.885923i | \(-0.346474\pi\) |
0.132856 | + | 0.991135i | \(0.457585\pi\) | |||||||
\(284\) | 2.16316 | + | 0.381423i | 0.128360 | + | 0.0226333i | ||||
\(285\) | 0.296053 | − | 0.934497i | 0.0175367 | − | 0.0553548i | ||||
\(286\) | −1.80292 | + | 4.95347i | −0.106609 | + | 0.292905i | ||||
\(287\) | −10.6947 | + | 19.9860i | −0.631286 | + | 1.17973i | ||||
\(288\) | −2.46216 | + | 1.71399i | −0.145084 | + | 0.100998i | ||||
\(289\) | −16.9017 | −0.994218 | ||||||||
\(290\) | 0.0854605 | − | 0.0717099i | 0.00501842 | − | 0.00421095i | ||||
\(291\) | 24.3102 | + | 12.6975i | 1.42509 | + | 0.744338i | ||||
\(292\) | 9.30654 | + | 1.64099i | 0.544624 | + | 0.0960319i | ||||
\(293\) | −1.99700 | + | 11.3256i | −0.116666 | + | 0.661647i | 0.869245 | + | 0.494381i | \(0.164605\pi\) |
−0.985912 | + | 0.167266i | \(0.946506\pi\) | |||||||
\(294\) | 5.33745 | + | 10.8863i | 0.311286 | + | 0.634902i | ||||
\(295\) | 2.61224 | − | 2.19193i | 0.152091 | − | 0.127619i | ||||
\(296\) | 4.58534 | + | 2.64735i | 0.266517 | + | 0.153874i | ||||
\(297\) | −1.87167 | + | 8.28139i | −0.108605 | + | 0.480535i | ||||
\(298\) | −10.5175 | − | 18.2168i | −0.609260 | − | 1.05527i | ||||
\(299\) | 3.86375 | + | 21.9124i | 0.223447 | + | 1.26723i | ||||
\(300\) | 1.11801 | − | 8.40321i | 0.0645486 | − | 0.485160i | ||||
\(301\) | 2.19411 | − | 15.3176i | 0.126466 | − | 0.882893i | ||||
\(302\) | −0.616592 | − | 1.69407i | −0.0354809 | − | 0.0974828i | ||||
\(303\) | 8.33207 | + | 13.1184i | 0.478665 | + | 0.753630i | ||||
\(304\) | 1.11921 | + | 1.33382i | 0.0641912 | + | 0.0765001i | ||||
\(305\) | −1.21695 | − | 0.702606i | −0.0696823 | − | 0.0402311i | ||||
\(306\) | −0.936741 | − | 0.0845405i | −0.0535499 | − | 0.00483286i | ||||
\(307\) | 8.82199 | + | 5.09338i | 0.503498 | + | 0.290694i | 0.730157 | − | 0.683280i | \(-0.239447\pi\) |
−0.226659 | + | 0.973974i | \(0.572780\pi\) | |||||||
\(308\) | −2.88416 | − | 3.22028i | −0.164340 | − | 0.183493i | ||||
\(309\) | −8.77673 | + | 27.7039i | −0.499291 | + | 1.57602i | ||||
\(310\) | 0.566462 | − | 0.206175i | 0.0321729 | − | 0.0117100i | ||||
\(311\) | 0.850866 | − | 4.82550i | 0.0482482 | − | 0.273629i | −0.951134 | − | 0.308779i | \(-0.900080\pi\) |
0.999382 | + | 0.0351498i | \(0.0111908\pi\) | |||||||
\(312\) | 5.32693 | + | 1.68760i | 0.301578 | + | 0.0955415i | ||||
\(313\) | 2.07889 | + | 2.47752i | 0.117506 | + | 0.140038i | 0.821591 | − | 0.570078i | \(-0.193087\pi\) |
−0.704085 | + | 0.710116i | \(0.748643\pi\) | |||||||
\(314\) | 3.07920 | − | 5.33333i | 0.173769 | − | 0.300977i | ||||
\(315\) | 2.51066 | + | 0.593893i | 0.141460 | + | 0.0334621i | ||||
\(316\) | 4.10998 | + | 7.11870i | 0.231205 | + | 0.400458i | ||||
\(317\) | −8.83159 | + | 24.2646i | −0.496031 | + | 1.36283i | 0.399049 | + | 0.916930i | \(0.369340\pi\) |
−0.895080 | + | 0.445905i | \(0.852882\pi\) | |||||||
\(318\) | 0.874719 | + | 1.37719i | 0.0490518 | + | 0.0772291i | ||||
\(319\) | 0.429600 | + | 0.360477i | 0.0240530 | + | 0.0201828i | ||||
\(320\) | −0.248997 | − | 0.208934i | −0.0139194 | − | 0.0116797i | ||||
\(321\) | 0.260390 | − | 0.338387i | 0.0145336 | − | 0.0188869i | ||||
\(322\) | −17.3394 | − | 5.68470i | −0.966288 | − | 0.316796i | ||||
\(323\) | 0.545889i | 0.0303741i | ||||||||
\(324\) | 8.85457 | + | 1.61137i | 0.491921 | + | 0.0895205i | ||||
\(325\) | −13.6745 | + | 7.89495i | −0.758523 | + | 0.437933i | ||||
\(326\) | 6.93400 | − | 19.0510i | 0.384039 | − | 1.05514i | ||||
\(327\) | −21.8690 | + | 9.02337i | −1.20936 | + | 0.498993i | ||||
\(328\) | −8.43734 | − | 1.48773i | −0.465874 | − | 0.0821462i | ||||
\(329\) | −0.777510 | + | 5.42800i | −0.0428655 | + | 0.299255i | ||||
\(330\) | −0.919079 | + | 0.0388667i | −0.0505936 | + | 0.00213954i | ||||
\(331\) | −2.77679 | − | 1.01067i | −0.152626 | − | 0.0555514i | 0.264577 | − | 0.964364i | \(-0.414768\pi\) |
−0.417204 | + | 0.908813i | \(0.636990\pi\) | |||||||
\(332\) | 4.42595 | − | 7.66597i | 0.242906 | − | 0.420725i | ||||
\(333\) | −4.06906 | − | 15.3540i | −0.222983 | − | 0.841397i | ||||
\(334\) | 15.4876 | − | 8.94178i | 0.847445 | − | 0.489273i | ||||
\(335\) | 3.10275 | + | 1.12931i | 0.169521 | + | 0.0617007i | ||||
\(336\) | −3.28140 | + | 3.19882i | −0.179015 | + | 0.174510i | ||||
\(337\) | 3.97824 | + | 3.33814i | 0.216709 | + | 0.181840i | 0.744679 | − | 0.667422i | \(-0.232602\pi\) |
−0.527971 | + | 0.849263i | \(0.677047\pi\) | |||||||
\(338\) | 0.886498 | + | 2.43563i | 0.0482191 | + | 0.132481i | ||||
\(339\) | −28.0994 | + | 6.18911i | −1.52615 | + | 0.336147i | ||||
\(340\) | −0.0176958 | − | 0.100358i | −0.000959691 | − | 0.00544268i | ||||
\(341\) | 1.51514 | + | 2.62430i | 0.0820495 | + | 0.142114i | ||||
\(342\) | 0.469515 | − | 5.20241i | 0.0253885 | − | 0.281314i | ||||
\(343\) | 10.7666 | + | 15.0692i | 0.581343 | + | 0.813658i | ||||
\(344\) | 5.75976 | − | 1.01560i | 0.310545 | − | 0.0547575i | ||||
\(345\) | −3.27766 | + | 2.08179i | −0.176463 | + | 0.112080i | ||||
\(346\) | 7.33689 | − | 8.74377i | 0.394434 | − | 0.470068i | ||||
\(347\) | 4.69796 | + | 12.9075i | 0.252199 | + | 0.692912i | 0.999593 | + | 0.0285307i | \(0.00908283\pi\) |
−0.747393 | + | 0.664382i | \(0.768695\pi\) | |||||||
\(348\) | 0.362537 | − | 0.471130i | 0.0194340 | − | 0.0252552i | ||||
\(349\) | 10.5343 | + | 12.5543i | 0.563886 | + | 0.672014i | 0.970364 | − | 0.241647i | \(-0.0776876\pi\) |
−0.406478 | + | 0.913661i | \(0.633243\pi\) | |||||||
\(350\) | −0.417669 | − | 12.9425i | −0.0223254 | − | 0.691805i | ||||
\(351\) | −7.67939 | − | 14.9012i | −0.409896 | − | 0.795365i | ||||
\(352\) | 0.816976 | − | 1.41504i | 0.0435450 | − | 0.0754221i | ||||
\(353\) | 26.6709 | + | 9.70742i | 1.41955 | + | 0.516674i | 0.933917 | − | 0.357489i | \(-0.116367\pi\) |
0.485633 | + | 0.874163i | \(0.338589\pi\) | |||||||
\(354\) | 11.0816 | − | 14.4009i | 0.588978 | − | 0.765398i | ||||
\(355\) | 0.458928 | − | 0.546929i | 0.0243574 | − | 0.0290280i | ||||
\(356\) | −2.28908 | + | 0.833158i | −0.121321 | + | 0.0441573i | ||||
\(357\) | −1.43272 | + | 0.106970i | −0.0758277 | + | 0.00566144i | ||||
\(358\) | 3.97880 | + | 22.5649i | 0.210286 | + | 1.19259i | ||||
\(359\) | 0.582269i | 0.0307310i | 0.999882 | + | 0.0153655i | \(0.00489118\pi\) | ||||
−0.999882 | + | 0.0153655i | \(0.995109\pi\) | |||||||
\(360\) | 0.0823268 | + | 0.971648i | 0.00433900 | + | 0.0512103i | ||||
\(361\) | 15.9683 | 0.840436 | ||||||||
\(362\) | −11.1151 | + | 9.32667i | −0.584196 | + | 0.490199i | ||||
\(363\) | 3.10357 | + | 14.0906i | 0.162895 | + | 0.739564i | ||||
\(364\) | 8.44935 | + | 1.21029i | 0.442866 | + | 0.0634365i | ||||
\(365\) | 1.97444 | − | 2.35305i | 0.103347 | − | 0.123164i | ||||
\(366\) | −7.13827 | − | 2.26144i | −0.373124 | − | 0.118208i | ||||
\(367\) | −9.53276 | + | 1.68088i | −0.497606 | + | 0.0877414i | −0.416818 | − | 0.908990i | \(-0.636855\pi\) |
−0.0807879 | + | 0.996731i | \(0.525744\pi\) | |||||||
\(368\) | − | 6.89690i | − | 0.359526i | ||||||
\(369\) | 14.6846 | + | 21.0946i | 0.764450 | + | 1.09814i | ||||
\(370\) | 1.49043 | − | 0.860502i | 0.0774839 | − | 0.0447354i | ||||
\(371\) | 1.66267 | + | 1.85644i | 0.0863216 | + | 0.0963816i | ||||
\(372\) | 2.71151 | − | 1.72221i | 0.140585 | − | 0.0892924i | ||||
\(373\) | −0.224850 | + | 1.27519i | −0.0116423 | + | 0.0660268i | −0.990075 | − | 0.140537i | \(-0.955117\pi\) |
0.978433 | + | 0.206564i | \(0.0662282\pi\) | |||||||
\(374\) | 0.481376 | − | 0.175207i | 0.0248914 | − | 0.00905972i | ||||
\(375\) | −4.41467 | − | 3.39711i | −0.227973 | − | 0.175426i | ||||
\(376\) | −2.04104 | + | 0.359891i | −0.105259 | + | 0.0185600i | ||||
\(377\) | −1.10727 | −0.0570276 | ||||||||
\(378\) | 13.7461 | + | 0.212836i | 0.707022 | + | 0.0109471i | ||||
\(379\) | 13.1616 | 0.676067 | 0.338033 | − | 0.941134i | \(-0.390238\pi\) | ||||
0.338033 | + | 0.941134i | \(0.390238\pi\) | |||||||
\(380\) | 0.557362 | − | 0.0982779i | 0.0285920 | − | 0.00504155i | ||||
\(381\) | 19.4321 | − | 8.01789i | 0.995538 | − | 0.410769i | ||||
\(382\) | 0.690117 | − | 0.251182i | 0.0353094 | − | 0.0128516i | ||||
\(383\) | 1.52991 | − | 8.67657i | 0.0781749 | − | 0.443352i | −0.920447 | − | 0.390868i | \(-0.872175\pi\) |
0.998622 | − | 0.0524842i | \(-0.0167139\pi\) | |||||||
\(384\) | −1.53525 | − | 0.801876i | −0.0783454 | − | 0.0409205i | ||||
\(385\) | −1.37523 | + | 0.288513i | −0.0700884 | + | 0.0147040i | ||||
\(386\) | −18.9185 | + | 10.9226i | −0.962925 | + | 0.555945i | ||||
\(387\) | −14.3451 | − | 10.1032i | −0.729201 | − | 0.513575i | ||||
\(388\) | 15.8347i | 0.803885i | ||||||||
\(389\) | −20.5468 | + | 3.62296i | −1.04176 | + | 0.183691i | −0.668253 | − | 0.743934i | \(-0.732958\pi\) |
−0.373512 | + | 0.927625i | \(0.621846\pi\) | |||||||
\(390\) | 1.34079 | − | 1.22524i | 0.0678937 | − | 0.0620422i | ||||
\(391\) | 1.38989 | − | 1.65641i | 0.0702899 | − | 0.0837682i | ||||
\(392\) | −4.14441 | + | 5.64126i | −0.209325 | + | 0.284927i | ||||
\(393\) | −21.3377 | + | 19.4987i | −1.07634 | + | 0.983579i | ||||
\(394\) | 8.57975 | − | 7.19927i | 0.432242 | − | 0.362694i | ||||
\(395\) | 2.67184 | 0.134435 | ||||||||
\(396\) | −4.73829 | + | 1.25572i | −0.238108 | + | 0.0631022i | ||||
\(397\) | 26.4752i | 1.32875i | 0.747398 | + | 0.664377i | \(0.231303\pi\) | ||||
−0.747398 | + | 0.664377i | \(0.768697\pi\) | |||||||
\(398\) | −1.96436 | − | 11.1404i | −0.0984644 | − | 0.558420i | ||||
\(399\) | −0.594081 | − | 7.95696i | −0.0297413 | − | 0.398346i | ||||
\(400\) | 4.59918 | − | 1.67397i | 0.229959 | − | 0.0836983i | ||||
\(401\) | −20.2516 | + | 24.1350i | −1.01132 | + | 1.20524i | −0.0327205 | + | 0.999465i | \(0.510417\pi\) |
−0.978599 | + | 0.205779i | \(0.934027\pi\) | |||||||
\(402\) | 17.4410 | + | 2.32045i | 0.869877 | + | 0.115734i | ||||
\(403\) | −5.62230 | − | 2.04635i | −0.280067 | − | 0.101936i | ||||
\(404\) | −4.48623 | + | 7.77037i | −0.223198 | + | 0.386590i | ||||
\(405\) | 1.89265 | − | 2.23064i | 0.0940466 | − | 0.110841i | ||||
\(406\) | 0.428434 | − | 0.800648i | 0.0212628 | − | 0.0397355i | ||||
\(407\) | 5.56093 | + | 6.62726i | 0.275645 | + | 0.328501i | ||||
\(408\) | −0.207120 | − | 0.501974i | −0.0102539 | − | 0.0248514i | ||||
\(409\) | 10.3335 | + | 28.3909i | 0.510956 | + | 1.40384i | 0.880242 | + | 0.474525i | \(0.157380\pi\) |
−0.369286 | + | 0.929316i | \(0.620398\pi\) | |||||||
\(410\) | −1.79004 | + | 2.13328i | −0.0884037 | + | 0.105355i | ||||
\(411\) | 13.1089 | + | 6.84689i | 0.646613 | + | 0.337732i | ||||
\(412\) | −16.5234 | + | 2.91352i | −0.814050 | + | 0.143539i | ||||
\(413\) | 13.0958 | − | 24.4731i | 0.644402 | − | 1.20424i | ||||
\(414\) | −14.6706 | + | 14.5904i | −0.721019 | + | 0.717080i | ||||
\(415\) | −1.43862 | − | 2.49177i | −0.0706193 | − | 0.122316i | ||||
\(416\) | 0.560215 | + | 3.17714i | 0.0274668 | + | 0.155772i | ||||
\(417\) | −7.43886 | + | 23.4809i | −0.364282 | + | 1.14986i | ||||
\(418\) | 0.973051 | + | 2.67344i | 0.0475935 | + | 0.130762i | ||||
\(419\) | 25.7498 | + | 21.6066i | 1.25796 | + | 1.05555i | 0.995896 | + | 0.0905033i | \(0.0288476\pi\) |
0.262064 | + | 0.965051i | \(0.415597\pi\) | |||||||
\(420\) | 0.367155 | + | 1.44358i | 0.0179153 | + | 0.0704393i | ||||
\(421\) | −10.9530 | − | 3.98657i | −0.533817 | − | 0.194294i | 0.0610247 | − | 0.998136i | \(-0.480563\pi\) |
−0.594842 | + | 0.803843i | \(0.702785\pi\) | |||||||
\(422\) | 13.8581 | − | 8.00098i | 0.674602 | − | 0.389482i | ||||
\(423\) | 5.08337 | + | 3.58020i | 0.247162 | + | 0.174075i | ||||
\(424\) | −0.470974 | + | 0.815750i | −0.0228725 | + | 0.0396163i | ||||
\(425\) | 1.44192 | + | 0.524815i | 0.0699432 | + | 0.0254573i | ||||
\(426\) | 1.76134 | − | 3.37222i | 0.0853372 | − | 0.163385i | ||||
\(427\) | −11.3224 | − | 1.62183i | −0.547931 | − | 0.0784860i | ||||
\(428\) | 0.242770 | + | 0.0428068i | 0.0117347 | + | 0.00206915i | ||||
\(429\) | 7.23593 | + | 5.56809i | 0.349354 | + | 0.268830i | ||||
\(430\) | 0.650197 | − | 1.78640i | 0.0313553 | − | 0.0861480i | ||||
\(431\) | 27.5363 | − | 15.8981i | 1.32638 | − | 0.765785i | 0.341640 | − | 0.939831i | \(-0.389017\pi\) |
0.984738 | + | 0.174046i | \(0.0556842\pi\) | |||||||
\(432\) | 1.54214 | + | 4.96204i | 0.0741961 | + | 0.238736i | ||||
\(433\) | − | 1.13905i | − | 0.0547390i | −0.999625 | − | 0.0273695i | \(-0.991287\pi\) | ||
0.999625 | − | 0.0273695i | \(-0.00871308\pi\) | |||||||
\(434\) | 3.65509 | − | 3.27359i | 0.175450 | − | 0.157137i | ||||
\(435\) | −0.0737009 | − | 0.178621i | −0.00353369 | − | 0.00856424i | ||||
\(436\) | −10.4631 | − | 8.77960i | −0.501092 | − | 0.420466i | ||||
\(437\) | 9.19926 | + | 7.71910i | 0.440060 | + | 0.369254i | ||||
\(438\) | 7.57781 | − | 14.5083i | 0.362082 | − | 0.693233i | ||||
\(439\) | 6.49691 | − | 17.8501i | 0.310081 | − | 0.851940i | −0.682558 | − | 0.730831i | \(-0.739133\pi\) |
0.992639 | − | 0.121109i | \(-0.0386451\pi\) | |||||||
\(440\) | −0.265552 | − | 0.459950i | −0.0126597 | − | 0.0219273i | ||||
\(441\) | 20.7672 | − | 3.11841i | 0.988913 | − | 0.148496i | ||||
\(442\) | −0.505725 | + | 0.875941i | −0.0240549 | + | 0.0416643i | ||||
\(443\) | −18.1228 | − | 21.5980i | −0.861042 | − | 1.02615i | −0.999360 | − | 0.0357624i | \(-0.988614\pi\) |
0.138318 | − | 0.990388i | \(-0.455830\pi\) | |||||||
\(444\) | 6.76981 | − | 6.18635i | 0.321281 | − | 0.293591i | ||||
\(445\) | −0.137495 | + | 0.779773i | −0.00651789 | + | 0.0369648i | ||||
\(446\) | −6.09034 | + | 2.21670i | −0.288386 | + | 0.104964i | ||||
\(447\) | −35.5807 | + | 7.83693i | −1.68291 | + | 0.370674i | ||||
\(448\) | −2.51409 | − | 0.824239i | −0.118779 | − | 0.0389416i | ||||
\(449\) | −12.8579 | − | 7.42348i | −0.606800 | − | 0.350336i | 0.164912 | − | 0.986308i | \(-0.447266\pi\) |
−0.771712 | + | 0.635972i | \(0.780599\pi\) | |||||||
\(450\) | −13.2903 | − | 6.24175i | −0.626511 | − | 0.294239i | ||||
\(451\) | −12.1234 | − | 6.99944i | −0.570868 | − | 0.329591i | ||||
\(452\) | −10.6780 | − | 12.7256i | −0.502251 | − | 0.598560i | ||||
\(453\) | −3.11974 | + | 0.131930i | −0.146578 | + | 0.00619861i | ||||
\(454\) | 9.07445 | + | 24.9318i | 0.425885 | + | 1.17011i | ||||
\(455\) | 1.71389 | − | 2.18176i | 0.0803486 | − | 0.102282i | ||||
\(456\) | 2.78783 | − | 1.15029i | 0.130552 | − | 0.0538671i | ||||
\(457\) | 6.80601 | + | 38.5988i | 0.318372 | + | 1.80558i | 0.552659 | + | 0.833408i | \(0.313613\pi\) |
−0.234287 | + | 0.972167i | \(0.575276\pi\) | |||||||
\(458\) | −6.79508 | − | 11.7694i | −0.317513 | − | 0.549949i | ||||
\(459\) | −0.629600 | + | 1.50250i | −0.0293872 | + | 0.0701305i | ||||
\(460\) | −1.94145 | − | 1.12090i | −0.0905205 | − | 0.0522620i | ||||
\(461\) | 10.3638 | − | 8.69622i | 0.482688 | − | 0.405023i | −0.368709 | − | 0.929545i | \(-0.620200\pi\) |
0.851397 | + | 0.524521i | \(0.175756\pi\) | |||||||
\(462\) | −6.82594 | + | 3.07771i | −0.317572 | + | 0.143188i | ||||
\(463\) | −0.520593 | + | 2.95243i | −0.0241940 | + | 0.137211i | −0.994512 | − | 0.104621i | \(-0.966637\pi\) |
0.970318 | + | 0.241832i | \(0.0777482\pi\) | |||||||
\(464\) | 0.338004 | + | 0.0595993i | 0.0156915 | + | 0.00276683i | ||||
\(465\) | −0.0441146 | − | 1.04318i | −0.00204577 | − | 0.0483761i | ||||
\(466\) | 1.44427 | − | 1.21189i | 0.0669045 | − | 0.0561395i | ||||
\(467\) | 5.12311 | 0.237069 | 0.118535 | − | 0.992950i | \(-0.462180\pi\) | ||||
0.118535 | + | 0.992950i | \(0.462180\pi\) | |||||||
\(468\) | 5.57303 | − | 7.91289i | 0.257613 | − | 0.365773i | ||||
\(469\) | 26.8623 | − | 0.866878i | 1.24039 | − | 0.0400287i | ||||
\(470\) | −0.230406 | + | 0.633035i | −0.0106278 | + | 0.0291997i | ||||
\(471\) | −7.19551 | − | 7.87415i | −0.331552 | − | 0.362821i | ||||
\(472\) | 10.3317 | + | 1.82175i | 0.475553 | + | 0.0838529i | ||||
\(473\) | 9.41116 | + | 1.65944i | 0.432726 | + | 0.0763012i | ||||
\(474\) | 13.9041 | − | 3.06250i | 0.638638 | − | 0.140665i | ||||
\(475\) | −2.91468 | + | 8.00802i | −0.133735 | + | 0.367433i | ||||
\(476\) | −0.437697 | − | 0.704604i | −0.0200618 | − | 0.0322955i | ||||
\(477\) | 2.73155 | − | 0.723902i | 0.125069 | − | 0.0331452i | ||||
\(478\) | −26.3325 | −1.20442 | ||||||||
\(479\) | −11.3388 | + | 9.51440i | −0.518084 | + | 0.434724i | −0.863963 | − | 0.503555i | \(-0.832025\pi\) |
0.345879 | + | 0.938279i | \(0.387581\pi\) | |||||||
\(480\) | −0.475236 | + | 0.301844i | −0.0216914 | + | 0.0137772i | ||||
\(481\) | −16.8220 | − | 2.96617i | −0.767016 | − | 0.135246i | ||||
\(482\) | 2.16084 | − | 12.2547i | 0.0984234 | − | 0.558187i | ||||
\(483\) | −18.4567 | + | 25.6567i | −0.839807 | + | 1.16742i | ||||
\(484\) | −6.38130 | + | 5.35455i | −0.290059 | + | 0.243389i | ||||
\(485\) | 4.45740 | + | 2.57348i | 0.202400 | + | 0.116856i | ||||
\(486\) | 7.29247 | − | 13.7775i | 0.330793 | − | 0.624961i | ||||
\(487\) | −18.7526 | − | 32.4805i | −0.849763 | − | 1.47183i | −0.881419 | − | 0.472334i | \(-0.843412\pi\) |
0.0316562 | − | 0.999499i | \(-0.489922\pi\) | |||||||
\(488\) | −0.750709 | − | 4.25748i | −0.0339830 | − | 0.192727i | ||||
\(489\) | −27.8293 | − | 21.4148i | −1.25848 | − | 0.968411i | ||||
\(490\) | 0.914433 | + | 2.08346i | 0.0413099 | + | 0.0941212i | ||||
\(491\) | −6.09766 | − | 16.7532i | −0.275184 | − | 0.756061i | −0.997891 | − | 0.0649070i | \(-0.979325\pi\) |
0.722708 | − | 0.691154i | \(-0.242897\pi\) | |||||||
\(492\) | −6.87007 | + | 13.1533i | −0.309727 | + | 0.592995i | ||||
\(493\) | 0.0691668 | + | 0.0824298i | 0.00311512 | + | 0.00371245i | ||||
\(494\) | −4.86475 | − | 2.80866i | −0.218875 | − | 0.126368i | ||||
\(495\) | −0.416594 | + | 1.53789i | −0.0187245 | + | 0.0691229i | ||||
\(496\) | 1.60611 | + | 0.927286i | 0.0721163 | + | 0.0416364i | ||||
\(497\) | 1.81046 | − | 5.52226i | 0.0812103 | − | 0.247707i | ||||
\(498\) | −10.3426 | − | 11.3181i | −0.463464 | − | 0.507175i | ||||
\(499\) | −0.791345 | + | 0.288026i | −0.0354255 | + | 0.0128938i | −0.359672 | − | 0.933079i | \(-0.617111\pi\) |
0.324247 | + | 0.945973i | \(0.394889\pi\) | |||||||
\(500\) | 0.558468 | − | 3.16723i | 0.0249754 | − | 0.141643i | ||||
\(501\) | −6.66284 | − | 30.2502i | −0.297674 | − | 1.35148i | ||||
\(502\) | 10.9221 | + | 13.0165i | 0.487479 | + | 0.580954i | ||||
\(503\) | 12.7127 | − | 22.0191i | 0.566833 | − | 0.981784i | −0.430043 | − | 0.902808i | \(-0.641502\pi\) |
0.996877 | − | 0.0789755i | \(-0.0251649\pi\) | |||||||
\(504\) | 3.56530 | + | 7.09145i | 0.158811 | + | 0.315878i | ||||
\(505\) | 1.45822 | + | 2.52570i | 0.0648898 | + | 0.112392i | ||||
\(506\) | 3.85430 | − | 10.5896i | 0.171344 | − | 0.470765i | ||||
\(507\) | 4.48537 | − | 0.189681i | 0.199202 | − | 0.00842402i | ||||
\(508\) | 9.29721 | + | 7.80128i | 0.412497 | + | 0.346126i | ||||
\(509\) | 16.2152 | + | 13.6062i | 0.718726 | + | 0.603083i | 0.927033 | − | 0.374981i | \(-0.122351\pi\) |
−0.208306 | + | 0.978064i | \(0.566795\pi\) | |||||||
\(510\) | −0.174965 | − | 0.0232784i | −0.00774758 | − | 0.00103079i | ||||
\(511\) | 7.78914 | − | 23.7584i | 0.344571 | − | 1.05101i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −8.34446 | − | 3.49663i | −0.368417 | − | 0.154380i | ||||
\(514\) | −22.7495 | + | 13.1345i | −1.00344 | + | 0.579336i | ||||
\(515\) | −1.86527 | + | 5.12477i | −0.0821934 | + | 0.225825i | ||||
\(516\) | 1.33600 | − | 10.0416i | 0.0588140 | − | 0.442057i | ||||
\(517\) | −3.33497 | − | 0.588045i | −0.146672 | − | 0.0258622i | ||||
\(518\) | 8.65364 | − | 11.0159i | 0.380219 | − | 0.484013i | ||||
\(519\) | −10.5995 | − | 16.6883i | −0.465268 | − | 0.732537i | ||||
\(520\) | 0.985398 | + | 0.358655i | 0.0432125 | + | 0.0157281i | ||||
\(521\) | 1.86020 | − | 3.22197i | 0.0814970 | − | 0.141157i | −0.822396 | − | 0.568915i | \(-0.807363\pi\) |
0.903893 | + | 0.427758i | \(0.140697\pi\) | |||||||
\(522\) | −0.588274 | − | 0.845059i | −0.0257480 | − | 0.0369872i | ||||
\(523\) | −0.231579 | + | 0.133702i | −0.0101263 | + | 0.00584639i | −0.505055 | − | 0.863087i | \(-0.668528\pi\) |
0.494928 | + | 0.868934i | \(0.335194\pi\) | |||||||
\(524\) | −15.6819 | − | 5.70773i | −0.685065 | − | 0.249343i | ||||
\(525\) | −21.5887 | − | 6.08057i | −0.942210 | − | 0.265378i | ||||
\(526\) | −6.09213 | − | 5.11190i | −0.265629 | − | 0.222890i | ||||
\(527\) | 0.198863 | + | 0.546373i | 0.00866263 | + | 0.0238004i | ||||
\(528\) | −1.90912 | − | 2.08918i | −0.0830838 | − | 0.0909197i | ||||
\(529\) | −4.26607 | − | 24.1941i | −0.185481 | − | 1.05192i | ||||
\(530\) | 0.153087 | + | 0.265154i | 0.00664966 | + | 0.0115176i | ||||
\(531\) | −17.9816 | − | 25.8306i | −0.780333 | − | 1.12095i | ||||
\(532\) | 3.91318 | − | 2.43085i | 0.169658 | − | 0.105391i | ||||
\(533\) | 27.2201 | − | 4.79964i | 1.17903 | − | 0.207896i | ||||
\(534\) | 0.178268 | + | 4.21549i | 0.00771441 | + | 0.182422i | ||||
\(535\) | 0.0515052 | − | 0.0613815i | 0.00222677 | − | 0.00265376i | ||||
\(536\) | 3.47434 | + | 9.54566i | 0.150068 | + | 0.412310i | ||||
\(537\) | 39.3398 | + | 5.23401i | 1.69764 | + | 0.225864i | ||||
\(538\) | −2.52985 | − | 3.01496i | −0.109070 | − | 0.129984i | ||||
\(539\) | −9.51597 | + | 6.34558i | −0.409882 | + | 0.273323i | ||||
\(540\) | 1.64742 | + | 0.372333i | 0.0708938 | + | 0.0160227i | ||||
\(541\) | −16.2515 | + | 28.1485i | −0.698708 | + | 1.21020i | 0.270207 | + | 0.962802i | \(0.412908\pi\) |
−0.968915 | + | 0.247395i | \(0.920426\pi\) | |||||||
\(542\) | −20.9118 | − | 7.61126i | −0.898237 | − | 0.326931i | ||||
\(543\) | 9.58563 | + | 23.2317i | 0.411359 | + | 0.996968i | ||||
\(544\) | 0.201524 | − | 0.240167i | 0.00864028 | − | 0.0102971i | ||||
\(545\) | −4.17190 | + | 1.51845i | −0.178705 | + | 0.0650431i | ||||
\(546\) | 6.41825 | − | 13.3182i | 0.274676 | − | 0.569967i | ||||
\(547\) | 2.64204 | + | 14.9837i | 0.112965 | + | 0.640658i | 0.987738 | + | 0.156124i | \(0.0498999\pi\) |
−0.874772 | + | 0.484534i | \(0.838989\pi\) | |||||||
\(548\) | 8.53859i | 0.364751i | ||||||||
\(549\) | −7.46806 | + | 10.6036i | −0.318729 | + | 0.452549i | ||||
\(550\) | 7.99713 | 0.340999 | ||||||||
\(551\) | −0.457793 | + | 0.384134i | −0.0195026 | + | 0.0163647i | ||||
\(552\) | −11.3880 | − | 3.60777i | −0.484704 | − | 0.153557i | ||||
\(553\) | 20.1859 | − | 8.09354i | 0.858391 | − | 0.344173i | ||||
\(554\) | 12.1196 | − | 14.4435i | 0.514911 | − | 0.613647i | ||||
\(555\) | −0.641191 | − | 2.91109i | −0.0272170 | − | 0.123569i | ||||
\(556\) | −14.0047 | + | 2.46940i | −0.593931 | + | 0.104726i | ||||
\(557\) | − | 32.3878i | − | 1.37232i | −0.727453 | − | 0.686158i | \(-0.759296\pi\) | ||
0.727453 | − | 0.686158i | \(-0.240704\pi\) | |||||||
\(558\) | −1.42527 | − | 5.37806i | −0.0603365 | − | 0.227672i | ||||
\(559\) | −16.3406 | + | 9.43425i | −0.691134 | + | 0.399026i | ||||
\(560\) | −0.640613 | + | 0.573748i | −0.0270708 | + | 0.0242453i | ||||
\(561\) | −0.0374884 | − | 0.886485i | −0.00158276 | − | 0.0374274i | ||||
\(562\) | 2.47200 | − | 14.0194i | 0.104275 | − | 0.591372i | ||||
\(563\) | 27.7932 | − | 10.1159i | 1.17134 | − | 0.426335i | 0.318208 | − | 0.948021i | \(-0.396919\pi\) |
0.853137 | + | 0.521686i | \(0.174697\pi\) | |||||||
\(564\) | −0.473428 | + | 3.55837i | −0.0199349 | + | 0.149835i | ||||
\(565\) | −5.31760 | + | 0.937636i | −0.223713 | + | 0.0394466i | ||||
\(566\) | 10.1927 | 0.428431 | ||||||||
\(567\) | 7.54200 | − | 22.5858i | 0.316734 | − | 0.948514i | ||||
\(568\) | 2.19653 | 0.0921642 | ||||||||
\(569\) | −18.7974 | + | 3.31449i | −0.788028 | + | 0.138951i | −0.553158 | − | 0.833076i | \(-0.686577\pi\) |
−0.234870 | + | 0.972027i | \(0.575466\pi\) | |||||||
\(570\) | 0.129282 | − | 0.971709i | 0.00541503 | − | 0.0407004i | ||||
\(571\) | 30.3515 | − | 11.0470i | 1.27017 | − | 0.462304i | 0.383000 | − | 0.923748i | \(-0.374891\pi\) |
0.887169 | + | 0.461444i | \(0.152669\pi\) | |||||||
\(572\) | −0.915365 | + | 5.19129i | −0.0382733 | + | 0.217059i | ||||
\(573\) | −0.0537445 | − | 1.27089i | −0.00224521 | − | 0.0530924i | ||||
\(574\) | −7.06166 | + | 21.5394i | −0.294748 | + | 0.899038i | ||||
\(575\) | 29.2334 | − | 16.8779i | 1.21912 | − | 0.703858i | ||||
\(576\) | −2.12712 | + | 2.11550i | −0.0886301 | + | 0.0881459i | ||||
\(577\) | 27.5610i | 1.14738i | 0.819073 | + | 0.573689i | \(0.194488\pi\) | ||||
−0.819073 | + | 0.573689i | \(0.805512\pi\) | |||||||
\(578\) | −16.6449 | + | 2.93495i | −0.692338 | + | 0.122078i | ||||
\(579\) | 8.13881 | + | 36.9512i | 0.338237 | + | 1.53564i | ||||
\(580\) | 0.0717099 | − | 0.0854605i | 0.00297759 | − | 0.00354856i | ||||
\(581\) | −18.4169 | − | 14.4675i | −0.764063 | − | 0.600215i | ||||
\(582\) | 26.1458 | + | 8.28313i | 1.08378 | + | 0.343347i | ||||
\(583\) | −1.17902 | + | 0.989312i | −0.0488299 | + | 0.0409731i | ||||
\(584\) | 9.45010 | 0.391048 | ||||||||
\(585\) | −1.32171 | − | 2.85480i | −0.0546458 | − | 0.118031i | ||||
\(586\) | 11.5003i | 0.475073i | ||||||||
\(587\) | −6.31637 | − | 35.8219i | −0.260705 | − | 1.47853i | −0.780993 | − | 0.624539i | \(-0.785287\pi\) |
0.520289 | − | 0.853990i | \(-0.325824\pi\) | |||||||
\(588\) | 7.14675 | + | 9.79408i | 0.294727 | + | 0.403901i | ||||
\(589\) | −3.03441 | + | 1.10444i | −0.125031 | + | 0.0455075i | ||||
\(590\) | 2.19193 | − | 2.61224i | 0.0902404 | − | 0.107544i | ||||
\(591\) | −7.39916 | − | 17.9326i | −0.304361 | − | 0.737648i | ||||
\(592\) | 4.97538 | + | 1.81089i | 0.204487 | + | 0.0744272i | ||||
\(593\) | 8.52359 | − | 14.7633i | 0.350022 | − | 0.606255i | −0.636231 | − | 0.771498i | \(-0.719508\pi\) |
0.986253 | + | 0.165243i | \(0.0528409\pi\) | |||||||
\(594\) | −0.405190 | + | 8.48059i | −0.0166251 | + | 0.347963i | ||||
\(595\) | −0.269478 | + | 0.00869638i | −0.0110475 | + | 0.000356517i | ||||
\(596\) | −13.5210 | − | 16.1137i | −0.553841 | − | 0.660042i | ||||
\(597\) | −19.4223 | − | 2.58406i | −0.794903 | − | 0.105759i | ||||
\(598\) | 7.61011 | + | 20.9086i | 0.311200 | + | 0.855016i | ||||
\(599\) | −7.11821 | + | 8.48316i | −0.290842 | + | 0.346612i | −0.891604 | − | 0.452816i | \(-0.850420\pi\) |
0.600762 | + | 0.799428i | \(0.294864\pi\) | |||||||
\(600\) | −0.358173 | − | 8.46969i | −0.0146223 | − | 0.345774i | ||||
\(601\) | 27.9147 | − | 4.92212i | 1.13866 | − | 0.200777i | 0.427643 | − | 0.903948i | \(-0.359344\pi\) |
0.711022 | + | 0.703170i | \(0.248233\pi\) | |||||||
\(602\) | −0.499103 | − | 15.4659i | −0.0203419 | − | 0.630344i | ||||
\(603\) | 12.9548 | − | 27.5842i | 0.527562 | − | 1.12332i | ||||
\(604\) | −0.901397 | − | 1.56126i | −0.0366773 | − | 0.0635270i | ||||
\(605\) | 0.470183 | + | 2.66654i | 0.0191156 | + | 0.108410i | ||||
\(606\) | 10.4835 | + | 11.4722i | 0.425862 | + | 0.466026i | ||||
\(607\) | −11.1327 | − | 30.5867i | −0.451860 | − | 1.24148i | −0.931413 | − | 0.363963i | \(-0.881423\pi\) |
0.479553 | − | 0.877513i | \(-0.340799\pi\) | |||||||
\(608\) | 1.33382 | + | 1.11921i | 0.0540937 | + | 0.0453900i | ||||
\(609\) | −1.09789 | − | 1.12624i | −0.0444889 | − | 0.0456374i | ||||
\(610\) | −1.32047 | − | 0.480611i | −0.0534642 | − | 0.0194594i | ||||
\(611\) | 5.79050 | − | 3.34315i | 0.234259 | − | 0.135249i | ||||
\(612\) | −0.937190 | + | 0.0794072i | −0.0378836 | + | 0.00320985i | ||||
\(613\) | −8.67071 | + | 15.0181i | −0.350207 | + | 0.606576i | −0.986285 | − | 0.165048i | \(-0.947222\pi\) |
0.636079 | + | 0.771624i | \(0.280555\pi\) | |||||||
\(614\) | 9.57242 | + | 3.48408i | 0.386311 | + | 0.140606i | ||||
\(615\) | 2.58605 | + | 4.07158i | 0.104280 | + | 0.164182i | ||||
\(616\) | −3.39954 | − | 2.67053i | −0.136971 | − | 0.107599i | ||||
\(617\) | −9.10859 | − | 1.60609i | −0.366698 | − | 0.0646588i | −0.0127370 | − | 0.999919i | \(-0.504054\pi\) |
−0.353961 | + | 0.935260i | \(0.615166\pi\) | |||||||
\(618\) | −3.83266 | + | 28.8070i | −0.154172 | + | 1.15879i | ||||
\(619\) | 15.7150 | − | 43.1767i | 0.631641 | − | 1.73542i | −0.0448780 | − | 0.998992i | \(-0.514290\pi\) |
0.676519 | − | 0.736426i | \(-0.263488\pi\) | |||||||
\(620\) | 0.522054 | − | 0.301408i | 0.0209662 | − | 0.0121048i | ||||
\(621\) | 16.4171 | + | 31.8559i | 0.658796 | + | 1.27833i | ||||
\(622\) | − | 4.89994i | − | 0.196470i | ||||||
\(623\) | 1.32331 | + | 6.30771i | 0.0530172 | + | 0.252713i | ||||
\(624\) | 5.53905 | + | 0.736949i | 0.221739 | + | 0.0295016i | ||||
\(625\) | 17.9456 | + | 15.0582i | 0.717826 | + | 0.602327i | ||||
\(626\) | 2.47752 | + | 2.07889i | 0.0990216 | + | 0.0830890i | ||||
\(627\) | 4.92330 | − | 0.208200i | 0.196618 | − | 0.00831472i | ||||
\(628\) | 2.10630 | − | 5.78700i | 0.0840503 | − | 0.230926i | ||||
\(629\) | 0.829985 | + | 1.43758i | 0.0330937 | + | 0.0573199i | ||||
\(630\) | 2.57565 | + | 0.148898i | 0.102616 | + | 0.00593225i | ||||
\(631\) | 17.1617 | − | 29.7250i | 0.683197 | − | 1.18333i | −0.290803 | − | 0.956783i | \(-0.593922\pi\) |
0.974000 | − | 0.226549i | \(-0.0727443\pi\) | |||||||
\(632\) | 5.28369 | + | 6.29686i | 0.210174 | + | 0.250476i | ||||
\(633\) | −5.96182 | − | 27.0674i | −0.236961 | − | 1.07583i | ||||
\(634\) | −4.48391 | + | 25.4295i | −0.178079 | + | 1.00994i | ||||
\(635\) | 3.70702 | − | 1.34925i | 0.147109 | − | 0.0535432i | ||||
\(636\) | 1.10058 | + | 1.20438i | 0.0436407 | + | 0.0477566i | ||||
\(637\) | 6.33955 | − | 21.6750i | 0.251182 | − | 0.858794i | ||||
\(638\) | 0.485669 | + | 0.280401i | 0.0192278 | + | 0.0111012i | ||||
\(639\) | −4.64675 | − | 4.67228i | −0.183823 | − | 0.184833i | ||||
\(640\) | −0.281496 | − | 0.162522i | −0.0111271 | − | 0.00642423i | ||||
\(641\) | −29.4584 | − | 35.1071i | −1.16353 | − | 1.38665i | −0.907538 | − | 0.419969i | \(-0.862041\pi\) |
−0.255997 | − | 0.966678i | \(-0.582404\pi\) | |||||||
\(642\) | 0.197674 | − | 0.378462i | 0.00780158 | − | 0.0149367i | ||||
\(643\) | 4.59765 | + | 12.6319i | 0.181314 | + | 0.498155i | 0.996738 | − | 0.0807087i | \(-0.0257184\pi\) |
−0.815424 | + | 0.578864i | \(0.803496\pi\) | |||||||
\(644\) | −18.0631 | − | 2.58738i | −0.711787 | − | 0.101957i | ||||
\(645\) | −2.60954 | − | 2.00805i | −0.102750 | − | 0.0790671i | ||||
\(646\) | 0.0947926 | + | 0.537596i | 0.00372957 | + | 0.0211514i | ||||
\(647\) | −1.81757 | − | 3.14813i | −0.0714562 | − | 0.123766i | 0.828084 | − | 0.560605i | \(-0.189431\pi\) |
−0.899540 | + | 0.436839i | \(0.856098\pi\) | |||||||
\(648\) | 8.99986 | + | 0.0493072i | 0.353548 | + | 0.00193697i | ||||
\(649\) | 14.8453 | + | 8.57093i | 0.582729 | + | 0.336439i | ||||
\(650\) | −12.0958 | + | 10.1496i | −0.474435 | + | 0.398098i | ||||
\(651\) | −3.49327 | − | 7.74760i | −0.136912 | − | 0.303652i | ||||
\(652\) | 3.52048 | − | 19.9657i | 0.137873 | − | 0.781916i | ||||
\(653\) | −33.8874 | − | 5.97526i | −1.32612 | − | 0.233830i | −0.534666 | − | 0.845064i | \(-0.679562\pi\) |
−0.791450 | + | 0.611234i | \(0.790674\pi\) | |||||||
\(654\) | −19.9699 | + | 12.6838i | −0.780884 | + | 0.495976i | ||||
\(655\) | −4.15534 | + | 3.48674i | −0.162363 | + | 0.136238i | ||||
\(656\) | −8.56750 | −0.334505 | ||||||||
\(657\) | −19.9917 | − | 20.1015i | −0.779951 | − | 0.784236i | ||||
\(658\) | 0.176864 | + | 5.48055i | 0.00689487 | + | 0.213654i | ||||
\(659\) | 9.58368 | − | 26.3309i | 0.373327 | − | 1.02571i | −0.600739 | − | 0.799445i | \(-0.705127\pi\) |
0.974066 | − | 0.226263i | \(-0.0726507\pi\) | |||||||
\(660\) | −0.898367 | + | 0.197873i | −0.0349689 | + | 0.00770218i | ||||
\(661\) | −17.1963 | − | 3.03217i | −0.668859 | − | 0.117938i | −0.171100 | − | 0.985254i | \(-0.554732\pi\) |
−0.497758 | + | 0.867316i | \(0.665843\pi\) | |||||||
\(662\) | −2.91011 | − | 0.513130i | −0.113104 | − | 0.0199434i | ||||
\(663\) | 1.18178 | + | 1.29324i | 0.0458967 | + | 0.0502254i | ||||
\(664\) | 3.02753 | − | 8.31806i | 0.117491 | − | 0.322803i | ||||
\(665\) | −0.0482974 | − | 1.49661i | −0.00187289 | − | 0.0580360i | ||||
\(666\) | −6.67344 | − | 14.4142i | −0.258591 | − | 0.558539i | ||||
\(667\) | 2.36715 | 0.0916562 | ||||||||
\(668\) | 13.6996 | − | 11.4953i | 0.530054 | − | 0.444768i | ||||
\(669\) | 0.474300 | + | 11.2157i | 0.0183375 | + | 0.433626i | ||||
\(670\) | 3.25172 | + | 0.573365i | 0.125625 | + | 0.0221510i | ||||
\(671\) | 1.22662 | − | 6.95652i | 0.0473532 | − | 0.268553i | ||||
\(672\) | −2.67608 | + | 3.72003i | −0.103232 | + | 0.143503i | ||||
\(673\) | −22.0388 | + | 18.4927i | −0.849532 | + | 0.712842i | −0.959686 | − | 0.281073i | \(-0.909310\pi\) |
0.110155 | + | 0.993914i | \(0.464865\pi\) | |||||||
\(674\) | 4.49747 | + | 2.59661i | 0.173236 | + | 0.100018i | ||||
\(675\) | −17.2584 | + | 18.6795i | −0.664274 | + | 0.718975i | ||||
\(676\) | 1.29597 | + | 2.24469i | 0.0498451 | + | 0.0863343i | ||||
\(677\) | 4.95302 | + | 28.0900i | 0.190360 | + | 1.07959i | 0.918873 | + | 0.394554i | \(0.129101\pi\) |
−0.728513 | + | 0.685032i | \(0.759788\pi\) | |||||||
\(678\) | −26.5977 | + | 10.9745i | −1.02148 | + | 0.421473i | ||||
\(679\) | 41.4714 | + | 5.94039i | 1.59153 | + | 0.227971i | ||||
\(680\) | −0.0348540 | − | 0.0957605i | −0.00133659 | − | 0.00367225i | ||||
\(681\) | 45.9136 | − | 1.94163i | 1.75941 | − | 0.0744034i | ||||
\(682\) | 1.94783 | + | 2.32133i | 0.0745862 | + | 0.0888884i | ||||
\(683\) | −3.40522 | − | 1.96601i | −0.130297 | − | 0.0752271i | 0.433435 | − | 0.901185i | \(-0.357302\pi\) |
−0.563732 | + | 0.825958i | \(0.690635\pi\) | |||||||
\(684\) | −0.441006 | − | 5.20490i | −0.0168623 | − | 0.199014i | ||||
\(685\) | 2.40358 | + | 1.38770i | 0.0918359 | + | 0.0530215i | ||||
\(686\) | 13.2198 | + | 12.9706i | 0.504734 | + | 0.495221i | ||||
\(687\) | −22.9878 | + | 5.06326i | −0.877041 | + | 0.193175i | ||||
\(688\) | 5.49590 | − | 2.00034i | 0.209529 | − | 0.0762623i | ||||
\(689\) | 0.527693 | − | 2.99270i | 0.0201035 | − | 0.114013i | ||||
\(690\) | −2.86636 | + | 2.61932i | −0.109121 | + | 0.0997159i | ||||
\(691\) | −5.21734 | − | 6.21778i | −0.198477 | − | 0.236536i | 0.657621 | − | 0.753349i | \(-0.271563\pi\) |
−0.856098 | + | 0.516813i | \(0.827118\pi\) | |||||||
\(692\) | 5.70709 | − | 9.88497i | 0.216951 | − | 0.375770i | ||||
\(693\) | 1.51118 | + | 12.8807i | 0.0574051 | + | 0.489299i | ||||
\(694\) | 6.86795 | + | 11.8956i | 0.260704 | + | 0.451552i | ||||
\(695\) | −1.58094 | + | 4.34359i | −0.0599683 | + | 0.164762i | ||||
\(696\) | 0.275219 | − | 0.526927i | 0.0104321 | − | 0.0199731i | ||||
\(697\) | −2.05763 | − | 1.72656i | −0.0779383 | − | 0.0653980i | ||||
\(698\) | 12.5543 | + | 10.5343i | 0.475185 | + | 0.398728i | ||||
\(699\) | −1.24553 | − | 3.01867i | −0.0471104 | − | 0.114177i | ||||
\(700\) | −2.65876 | − | 12.6733i | −0.100492 | − | 0.479007i | ||||
\(701\) | 48.0810i | 1.81600i | 0.418975 | + | 0.907998i | \(0.362389\pi\) | ||||
−0.418975 | + | 0.907998i | \(0.637611\pi\) | |||||||
\(702\) | −10.1503 | − | 13.3413i | −0.383098 | − | 0.503533i | ||||
\(703\) | −7.98392 | + | 4.60952i | −0.301119 | + | 0.173851i | ||||
\(704\) | 0.558844 | − | 1.53541i | 0.0210622 | − | 0.0578680i | ||||
\(705\) | 0.924724 | + | 0.711580i | 0.0348271 | + | 0.0267997i | ||||
\(706\) | 27.9514 | + | 4.92859i | 1.05197 | + | 0.185490i | ||||
\(707\) | 18.6677 | + | 14.6646i | 0.702073 | + | 0.551518i | ||||
\(708\) | 8.41251 | − | 16.1064i | 0.316162 | − | 0.605315i | ||||
\(709\) | 8.89284 | + | 3.23673i | 0.333977 | + | 0.121558i | 0.503565 | − | 0.863957i | \(-0.332021\pi\) |
−0.169588 | + | 0.985515i | \(0.554244\pi\) | |||||||
\(710\) | 0.356983 | − | 0.618312i | 0.0133973 | − | 0.0232048i | ||||
\(711\) | 2.21654 | − | 24.5601i | 0.0831267 | − | 0.921075i | ||||
\(712\) | −2.10963 | + | 1.21800i | −0.0790617 | + | 0.0456463i | ||||
\(713\) | 12.0194 | + | 4.37471i | 0.450131 | + | 0.163834i | ||||
\(714\) | −1.39238 | + | 0.354134i | −0.0521086 | + | 0.0132531i | ||||
\(715\) | 1.31256 | + | 1.10137i | 0.0490869 | + | 0.0411888i | ||||
\(716\) | 7.83670 | + | 21.5312i | 0.292871 | + | 0.804657i | ||||
\(717\) | −13.7745 | + | 43.4794i | −0.514418 | + | 1.62377i | ||||
\(718\) | 0.101110 | + | 0.573423i | 0.00377339 | + | 0.0213999i | ||||
\(719\) | 3.31723 | + | 5.74561i | 0.123712 | + | 0.214275i | 0.921229 | − | 0.389021i | \(-0.127187\pi\) |
−0.797517 | + | 0.603297i | \(0.793853\pi\) | |||||||
\(720\) | 0.249801 | + | 0.942590i | 0.00930953 | + | 0.0351283i | ||||
\(721\) | 1.43181 | + | 44.3681i | 0.0533235 | + | 1.65236i | ||||
\(722\) | 15.7257 | − | 2.77286i | 0.585249 | − | 0.103195i | ||||
\(723\) | −19.1043 | − | 9.97835i | −0.710497 | − | 0.371099i | ||||
\(724\) | −9.32667 | + | 11.1151i | −0.346623 | + | 0.413089i | ||||
\(725\) | 0.574536 | + | 1.57852i | 0.0213377 | + | 0.0586249i | ||||
\(726\) | 5.50322 | + | 13.3376i | 0.204244 | + | 0.495004i | ||||
\(727\) | −29.2015 | − | 34.8009i | −1.08302 | − | 1.29070i | −0.954246 | − | 0.299022i | \(-0.903340\pi\) |
−0.128776 | − | 0.991674i | \(-0.541105\pi\) | |||||||
\(728\) | 8.53115 | − | 0.275310i | 0.316186 | − | 0.0102037i | ||||
\(729\) | −18.9343 | − | 19.2481i | −0.701272 | − | 0.712894i | ||||
\(730\) | 1.53585 | − | 2.66016i | 0.0568442 | − | 0.0984570i | ||||
\(731\) | 1.72305 | + | 0.627139i | 0.0637293 | + | 0.0231956i | ||||
\(732\) | −7.42252 | − | 0.987538i | −0.274344 | − | 0.0365005i | ||||
\(733\) | 7.28653 | − | 8.68375i | 0.269134 | − | 0.320742i | −0.614503 | − | 0.788915i | \(-0.710643\pi\) |
0.883637 | + | 0.468173i | \(0.155088\pi\) | |||||||
\(734\) | −9.09605 | + | 3.31069i | −0.335741 | + | 0.122200i | ||||
\(735\) | 3.91849 | − | 0.420028i | 0.144536 | − | 0.0154930i | ||||
\(736\) | −1.19763 | − | 6.79213i | −0.0441454 | − | 0.250361i | ||||
\(737\) | 16.5981i | 0.611400i | ||||||||
\(738\) | 18.1246 | + | 18.2241i | 0.667174 | + | 0.670839i | ||||
\(739\) | −6.58058 | −0.242070 | −0.121035 | − | 0.992648i | \(-0.538621\pi\) | ||||
−0.121035 | + | 0.992648i | \(0.538621\pi\) | |||||||
\(740\) | 1.31837 | − | 1.10624i | 0.0484641 | − | 0.0406662i | ||||
\(741\) | −7.18233 | + | 6.56332i | −0.263849 | + | 0.241109i | ||||
\(742\) | 1.95978 | + | 1.53952i | 0.0719458 | + | 0.0565175i | ||||
\(743\) | −7.42861 | + | 8.85307i | −0.272529 | + | 0.324788i | −0.884898 | − | 0.465784i | \(-0.845772\pi\) |
0.612369 | + | 0.790572i | \(0.290217\pi\) | |||||||
\(744\) | 2.37126 | − | 2.16689i | 0.0869347 | − | 0.0794422i | ||||
\(745\) | −6.73338 | + | 1.18728i | −0.246692 | + | 0.0434984i | ||||
\(746\) | 1.29486i | 0.0474082i | ||||||||
\(747\) | −24.0983 | + | 11.1570i | −0.881710 | + | 0.408212i | ||||
\(748\) | 0.443639 | − | 0.256135i | 0.0162210 | − | 0.00936522i | ||||
\(749\) | 0.203187 | − | 0.619759i | 0.00742429 | − | 0.0226455i | ||||
\(750\) | −4.93750 | − | 2.57890i | −0.180292 | − | 0.0941682i | ||||
\(751\) | −6.17551 | + | 35.0230i | −0.225347 | + | 1.27801i | 0.636672 | + | 0.771134i | \(0.280310\pi\) |
−0.862020 | + | 0.506874i | \(0.830801\pi\) | |||||||
\(752\) | −1.94754 | + | 0.708847i | −0.0710196 | + | 0.0258490i | ||||
\(753\) | 27.2058 | − | 11.2254i | 0.991435 | − | 0.409076i | ||||
\(754\) | −1.09045 | + | 0.192276i | −0.0397120 | + | 0.00700229i | ||||
\(755\) | −0.585985 | −0.0213262 | ||||||||
\(756\) | 13.5742 | − | 2.17738i | 0.493689 | − | 0.0791905i | ||||
\(757\) | 4.41211 | 0.160361 | 0.0801804 | − | 0.996780i | \(-0.474450\pi\) | ||||
0.0801804 | + | 0.996780i | \(0.474450\pi\) | |||||||
\(758\) | 12.9617 | − | 2.28549i | 0.470789 | − | 0.0830127i | ||||
\(759\) | −15.4691 | − | 11.9035i | −0.561491 | − | 0.432070i | ||||
\(760\) | 0.531828 | − | 0.193570i | 0.0192914 | − | 0.00702151i | ||||
\(761\) | 0.250453 | − | 1.42039i | 0.00907893 | − | 0.0514892i | −0.979932 | − | 0.199333i | \(-0.936122\pi\) |
0.989011 | + | 0.147844i | \(0.0472334\pi\) | |||||||
\(762\) | 17.7446 | − | 11.2704i | 0.642820 | − | 0.408285i | ||||
\(763\) | −26.9192 | + | 24.1094i | −0.974540 | + | 0.872820i | ||||
\(764\) | 0.636015 | − | 0.367203i | 0.0230102 | − | 0.0132850i | ||||
\(765\) | −0.129961 | + | 0.276720i | −0.00469874 | + | 0.0100048i | ||||
\(766\) | − | 8.81042i | − | 0.318333i | ||||||
\(767\) | −33.3315 | + | 5.87725i | −1.20353 | + | 0.212215i | ||||
\(768\) | −1.65117 | − | 0.523100i | −0.0595815 | − | 0.0188757i | ||||
\(769\) | 13.9689 | − | 16.6475i | 0.503731 | − | 0.600323i | −0.452923 | − | 0.891549i | \(-0.649619\pi\) |
0.956654 | + | 0.291226i | \(0.0940633\pi\) | |||||||
\(770\) | −1.30424 | + | 0.522936i | −0.0470016 | + | 0.0188453i | ||||
\(771\) | 9.78695 | + | 44.4340i | 0.352469 | + | 1.60025i | ||||
\(772\) | −16.7344 | + | 14.0418i | −0.602283 | + | 0.505376i | ||||
\(773\) | 12.4101 | 0.446361 | 0.223181 | − | 0.974777i | \(-0.428356\pi\) | ||||
0.223181 | + | 0.974777i | \(0.428356\pi\) | |||||||
\(774\) | −15.8815 | − | 7.45872i | −0.570850 | − | 0.268098i | ||||
\(775\) | 9.07692i | 0.326053i | ||||||||
\(776\) | 2.74967 | + | 15.5941i | 0.0987073 | + | 0.559797i | ||||
\(777\) | −13.6625 | − | 20.0511i | −0.490139 | − | 0.719329i | ||||
\(778\) | −19.6055 | + | 7.13583i | −0.702892 | + | 0.255832i | ||||
\(779\) | 9.58884 | − | 11.4275i | 0.343556 | − | 0.409434i | ||||
\(780\) | 1.10766 | − | 1.43945i | 0.0396607 | − | 0.0515405i | ||||
\(781\) | 3.37257 | + | 1.22752i | 0.120680 | + | 0.0439240i | ||||
\(782\) | 1.08114 | − | 1.87260i | 0.0386617 | − | 0.0669639i | ||||
\(783\) | −1.70306 | + | 0.529290i | −0.0608625 | + | 0.0189153i | ||||
\(784\) | −3.10186 | + | 6.27523i | −0.110781 | + | 0.224115i | ||||
\(785\) | −1.28670 | − | 1.53342i | −0.0459242 | − | 0.0547303i | ||||
\(786\) | −17.6276 | + | 22.9077i | −0.628756 | + | 0.817091i | ||||
\(787\) | −3.81749 | − | 10.4885i | −0.136079 | − | 0.373874i | 0.852871 | − | 0.522121i | \(-0.174859\pi\) |
−0.988950 | + | 0.148247i | \(0.952637\pi\) | |||||||
\(788\) | 7.19927 | − | 8.57975i | 0.256463 | − | 0.305641i | ||||
\(789\) | −11.6274 | + | 7.38511i | −0.413947 | + | 0.262917i | ||||
\(790\) | 2.63125 | − | 0.463961i | 0.0936157 | − | 0.0165070i | ||||
\(791\) | −37.3343 | + | 23.1919i | −1.32746 | + | 0.824610i | ||||
\(792\) | −4.44825 | + | 2.05944i | −0.158062 | + | 0.0731789i | ||||
\(793\) | 6.97358 | + | 12.0786i | 0.247639 | + | 0.428924i | ||||
\(794\) | 4.59738 | + | 26.0730i | 0.163155 | + | 0.925297i | ||||
\(795\) | 0.517894 | − | 0.114070i | 0.0183678 | − | 0.00404566i | ||||
\(796\) | −3.86903 | − | 10.6301i | −0.137134 | − | 0.376773i | ||||
\(797\) | 26.8374 | + | 22.5193i | 0.950630 | + | 0.797673i | 0.979404 | − | 0.201913i | \(-0.0647157\pi\) |
−0.0287736 | + | 0.999586i | \(0.509160\pi\) | |||||||
\(798\) | −1.96677 | − | 7.73292i | −0.0696228 | − | 0.273742i | ||||
\(799\) | −0.610585 | − | 0.222235i | −0.0216010 | − | 0.00786211i | ||||
\(800\) | 4.23863 | − | 2.44717i | 0.149858 | − | 0.0865206i | ||||
\(801\) | 7.05375 | + | 1.91077i | 0.249232 | + | 0.0675138i | ||||
\(802\) | −15.7530 | + | 27.2850i | −0.556257 | + | 0.963466i | ||||
\(803\) | 14.5098 | + | 5.28114i | 0.512040 | + | 0.186367i | ||||
\(804\) | 17.5789 | − | 0.743392i | 0.619962 | − | 0.0262174i | ||||
\(805\) | −3.66398 | + | 4.66419i | −0.129138 | + | 0.164391i | ||||
\(806\) | −5.89223 | − | 1.03896i | −0.207545 | − | 0.0365958i | ||||
\(807\) | −6.30159 | + | 2.60010i | −0.221826 | + | 0.0915277i | ||||
\(808\) | −3.06876 | + | 8.43135i | −0.107959 | + | 0.296614i | ||||
\(809\) | 13.4753 | − | 7.77998i | 0.473767 | − | 0.273530i | −0.244048 | − | 0.969763i | \(-0.578476\pi\) |
0.717815 | + | 0.696234i | \(0.245142\pi\) | |||||||
\(810\) | 1.47655 | − | 2.52541i | 0.0518807 | − | 0.0887338i | ||||
\(811\) | − | 3.74576i | − | 0.131531i | −0.997835 | − | 0.0657657i | \(-0.979051\pi\) | ||
0.997835 | − | 0.0657657i | \(-0.0209490\pi\) | |||||||
\(812\) | 0.282894 | − | 0.862881i | 0.00992763 | − | 0.0302812i | ||||
\(813\) | −23.5064 | + | 30.5474i | −0.824406 | + | 1.07135i | ||||
\(814\) | 6.62726 | + | 5.56093i | 0.232285 | + | 0.194911i | ||||
\(815\) | −5.04809 | − | 4.23585i | −0.176827 | − | 0.148375i | ||||
\(816\) | −0.291140 | − | 0.458382i | −0.0101919 | − | 0.0160466i | ||||
\(817\) | −3.48296 | + | 9.56937i | −0.121853 | + | 0.334790i | ||||
\(818\) | 15.1065 | + | 26.1652i | 0.528186 | + | 0.914845i | ||||
\(819\) | −18.6333 | − | 17.5644i | −0.651100 | − | 0.613750i | ||||
\(820\) | −1.39240 | + | 2.41171i | −0.0486248 | + | 0.0842206i | ||||
\(821\) | −16.9480 | − | 20.1978i | −0.591489 | − | 0.704910i | 0.384402 | − | 0.923166i | \(-0.374408\pi\) |
−0.975892 | + | 0.218256i | \(0.929963\pi\) | |||||||
\(822\) | 14.0987 | + | 4.46653i | 0.491748 | + | 0.155788i | ||||
\(823\) | −9.57518 | + | 54.3035i | −0.333770 | + | 1.89290i | 0.105286 | + | 0.994442i | \(0.466424\pi\) |
−0.439055 | + | 0.898460i | \(0.644687\pi\) | |||||||
\(824\) | −15.7664 | + | 5.73852i | −0.549250 | + | 0.199911i | ||||
\(825\) | 4.18330 | − | 13.2046i | 0.145644 | − | 0.459726i | ||||
\(826\) | 8.64713 | − | 26.3754i | 0.300872 | − | 0.917717i | ||||
\(827\) | 0.142019 | + | 0.0819947i | 0.00493848 | + | 0.00285123i | 0.502467 | − | 0.864596i | \(-0.332426\pi\) |
−0.497529 | + | 0.867448i | \(0.665759\pi\) | |||||||
\(828\) | −11.9141 | + | 16.9163i | −0.414043 | + | 0.587881i | ||||
\(829\) | −32.6203 | − | 18.8334i | −1.13295 | − | 0.654109i | −0.188275 | − | 0.982116i | \(-0.560290\pi\) |
−0.944675 | + | 0.328007i | \(0.893623\pi\) | |||||||
\(830\) | −1.84946 | − | 2.20410i | −0.0641957 | − | 0.0765054i | ||||
\(831\) | −17.5090 | − | 27.5669i | −0.607381 | − | 0.956285i | ||||
\(832\) | 1.10341 | + | 3.03159i | 0.0382538 | + | 0.105102i | ||||
\(833\) | −2.00957 | + | 0.882004i | −0.0696276 | + | 0.0305596i | ||||
\(834\) | −3.24844 | + | 24.4159i | −0.112484 | + | 0.845452i | ||||
\(835\) | −1.00940 | − | 5.72462i | −0.0349319 | − | 0.198109i | ||||
\(836\) | 1.42251 | + | 2.46385i | 0.0491984 | + | 0.0852141i | ||||
\(837\) | −9.62566 | − | 0.459900i | −0.332712 | − | 0.0158965i | ||||
\(838\) | 29.1106 | + | 16.8070i | 1.00561 | + | 0.580588i | ||||
\(839\) | 0.147423 | − | 0.123703i | 0.00508961 | − | 0.00427069i | −0.640239 | − | 0.768176i | \(-0.721165\pi\) |
0.645329 | + | 0.763905i | \(0.276720\pi\) | |||||||
\(840\) | 0.612251 | + | 1.35789i | 0.0211247 | + | 0.0468516i | ||||
\(841\) | 5.01534 | − | 28.4434i | 0.172943 | − | 0.980807i | ||||
\(842\) | −11.4789 | − | 2.02404i | −0.395588 | − | 0.0697529i | ||||
\(843\) | −21.8553 | − | 11.4152i | −0.752737 | − | 0.393161i | ||||
\(844\) | 12.2582 | − | 10.2859i | 0.421945 | − | 0.354054i | ||||
\(845\) | 0.842494 | 0.0289827 | ||||||||
\(846\) | 5.62783 | + | 2.64309i | 0.193489 | + | 0.0908715i | ||||
\(847\) | 11.6297 | + | 18.7215i | 0.399602 | + | 0.643279i | ||||
\(848\) | −0.322165 | + | 0.885141i | −0.0110632 | + | 0.0303959i | ||||
\(849\) | 5.33180 | − | 16.8299i | 0.182987 | − | 0.577601i | ||||
\(850\) | 1.51114 | + | 0.266455i | 0.0518318 | + | 0.00913935i | ||||
\(851\) | 35.9622 | + | 6.34111i | 1.23277 | + | 0.217370i | ||||
\(852\) | 1.14900 | − | 3.62684i | 0.0393642 | − | 0.124254i | ||||
\(853\) | 10.8426 | − | 29.7898i | 0.371243 | − | 1.01998i | −0.603638 | − | 0.797258i | \(-0.706283\pi\) |
0.974882 | − | 0.222724i | \(-0.0714949\pi\) | |||||||
\(854\) | −11.4321 | + | 0.368926i | −0.391197 | + | 0.0126244i | ||||
\(855\) | −1.53683 | − | 0.721767i | −0.0525585 | − | 0.0246839i | ||||
\(856\) | 0.246515 | 0.00842570 | ||||||||
\(857\) | −39.7057 | + | 33.3171i | −1.35632 | + | 1.13809i | −0.379223 | + | 0.925305i | \(0.623809\pi\) |
−0.977099 | + | 0.212784i | \(0.931747\pi\) | |||||||
\(858\) | 8.09289 | + | 4.22699i | 0.276287 | + | 0.144307i | ||||
\(859\) | 18.0371 | + | 3.18043i | 0.615419 | + | 0.108515i | 0.472664 | − | 0.881243i | \(-0.343293\pi\) |
0.142756 | + | 0.989758i | \(0.454404\pi\) | |||||||
\(860\) | 0.330114 | − | 1.87217i | 0.0112568 | − | 0.0638404i | ||||
\(861\) | 31.8713 | + | 22.9273i | 1.08617 | + | 0.781360i | ||||
\(862\) | 24.3573 | − | 20.4382i | 0.829613 | − | 0.696128i | ||||
\(863\) | 45.6457 | + | 26.3536i | 1.55380 | + | 0.897086i | 0.997827 | + | 0.0658856i | \(0.0209872\pi\) |
0.555972 | + | 0.831201i | \(0.312346\pi\) | |||||||
\(864\) | 2.38036 | + | 4.61886i | 0.0809814 | + | 0.157137i | ||||
\(865\) | −1.85505 | − | 3.21304i | −0.0630736 | − | 0.109247i | ||||
\(866\) | −0.197793 | − | 1.12174i | −0.00672129 | − | 0.0381183i | ||||
\(867\) | −3.86085 | + | 29.0189i | −0.131121 | + | 0.985534i | ||||
\(868\) | 3.03111 | − | 3.85855i | 0.102883 | − | 0.130968i | ||||
\(869\) | 4.59368 | + | 12.6210i | 0.155830 | + | 0.428139i | ||||
\(870\) | −0.103599 | − | 0.163110i | −0.00351232 | − | 0.00552994i | ||||
\(871\) | −21.0655 | − | 25.1049i | −0.713778 | − | 0.850648i | ||||
\(872\) | −11.8287 | − | 6.82931i | −0.400571 | − | 0.231270i | ||||
\(873\) | 27.3537 | − | 38.8383i | 0.925784 | − | 1.31448i | ||||
\(874\) | 10.3999 | + | 6.00439i | 0.351782 | + | 0.203102i | ||||
\(875\) | −8.08553 | − | 2.65083i | −0.273341 | − | 0.0896142i | ||||
\(876\) | 4.94335 | − | 15.6037i | 0.167020 | − | 0.527202i | ||||
\(877\) | −0.901126 | + | 0.327983i | −0.0304289 | + | 0.0110752i | −0.357190 | − | 0.934032i | \(-0.616265\pi\) |
0.326761 | + | 0.945107i | \(0.394043\pi\) | |||||||
\(878\) | 3.29857 | − | 18.7071i | 0.111321 | − | 0.631335i | ||||
\(879\) | 18.9889 | + | 6.01580i | 0.640481 | + | 0.202908i | ||||
\(880\) | −0.341388 | − | 0.406850i | −0.0115082 | − | 0.0137149i | ||||
\(881\) | 8.40747 | − | 14.5622i | 0.283255 | − | 0.490612i | −0.688930 | − | 0.724828i | \(-0.741919\pi\) |
0.972185 | + | 0.234216i | \(0.0752524\pi\) | |||||||
\(882\) | 19.9102 | − | 6.67722i | 0.670410 | − | 0.224834i | ||||
\(883\) | 7.72529 | + | 13.3806i | 0.259977 | + | 0.450293i | 0.966235 | − | 0.257661i | \(-0.0829518\pi\) |
−0.706259 | + | 0.707954i | \(0.749618\pi\) | |||||||
\(884\) | −0.345936 | + | 0.950452i | −0.0116351 | + | 0.0319672i | ||||
\(885\) | −3.16666 | − | 4.98572i | −0.106446 | − | 0.167593i | ||||
\(886\) | −21.5980 | − | 18.1228i | −0.725598 | − | 0.608849i | ||||
\(887\) | −22.4813 | − | 18.8640i | −0.754847 | − | 0.633392i | 0.181933 | − | 0.983311i | \(-0.441765\pi\) |
−0.936780 | + | 0.349919i | \(0.886209\pi\) | |||||||
\(888\) | 5.59271 | − | 7.26793i | 0.187679 | − | 0.243896i | ||||
\(889\) | 23.9196 | − | 21.4229i | 0.802236 | − | 0.718501i | ||||
\(890\) | 0.791802i | 0.0265413i | ||||||||
\(891\) | 13.7910 | + | 5.10523i | 0.462014 | + | 0.171032i | ||||
\(892\) | −5.61288 | + | 3.24060i | −0.187933 | + | 0.108503i | ||||
\(893\) | 1.23423 | − | 3.39103i | 0.0413021 | − | 0.113476i | ||||
\(894\) | −33.6793 | + | 13.8964i | −1.12640 | + | 0.464765i | ||||
\(895\) | 7.33456 | + | 1.29328i | 0.245167 | + | 0.0432296i | ||||
\(896\) | −2.61902 | − | 0.375150i | −0.0874953 | − | 0.0125329i | ||||
\(897\) | 38.5045 | − | 1.62831i | 1.28563 | − | 0.0543676i | ||||
\(898\) | −13.9516 | − | 5.07796i | −0.465570 | − | 0.169454i | ||||
\(899\) | −0.318262 | + | 0.551246i | −0.0106146 | + | 0.0183851i | ||||
\(900\) | −14.1723 | − | 3.83909i | −0.472409 | − | 0.127970i | ||||
\(901\) | −0.255751 | + | 0.147658i | −0.00852029 | + | 0.00491919i | ||||
\(902\) | −13.1546 | − | 4.78790i | −0.438002 | − | 0.159420i | ||||
\(903\) | −25.7980 | − | 7.26611i | −0.858502 | − | 0.241801i | ||||
\(904\) | −12.7256 | − | 10.6780i | −0.423246 | − | 0.355145i | ||||
\(905\) | 1.61306 | + | 4.43186i | 0.0536201 | + | 0.147320i | ||||
\(906\) | −3.04944 | + | 0.671663i | −0.101311 | + | 0.0223145i | ||||
\(907\) | 4.75015 | + | 26.9395i | 0.157726 | + | 0.894510i | 0.956251 | + | 0.292548i | \(0.0945031\pi\) |
−0.798525 | + | 0.601962i | \(0.794386\pi\) | |||||||
\(908\) | 13.2660 | + | 22.9773i | 0.440246 | + | 0.762529i | ||||
\(909\) | 24.4265 | − | 11.3089i | 0.810175 | − | 0.375092i | ||||
\(910\) | 1.30900 | − | 2.44623i | 0.0433928 | − | 0.0810916i | ||||
\(911\) | −39.3537 | + | 6.93913i | −1.30385 | + | 0.229904i | −0.782077 | − | 0.623182i | \(-0.785840\pi\) |
−0.521771 | + | 0.853086i | \(0.674728\pi\) | |||||||
\(912\) | 2.54573 | − | 1.61691i | 0.0842977 | − | 0.0535414i | ||||
\(913\) | 9.29701 | − | 11.0797i | 0.307686 | − | 0.366686i | ||||
\(914\) | 13.4052 | + | 36.8305i | 0.443405 | + | 1.21825i | ||||
\(915\) | −1.48431 | + | 1.92891i | −0.0490697 | + | 0.0637678i | ||||
\(916\) | −8.73559 | − | 10.4107i | −0.288632 | − | 0.343978i | ||||
\(917\) | −20.8317 | + | 38.9298i | −0.687924 | + | 1.28558i | ||||
\(918\) | −0.359129 | + | 1.58900i | −0.0118530 | + | 0.0524448i | ||||
\(919\) | 22.6392 | − | 39.2122i | 0.746797 | − | 1.29349i | −0.202554 | − | 0.979271i | \(-0.564924\pi\) |
0.949351 | − | 0.314219i | \(-0.101743\pi\) | |||||||
\(920\) | −2.10659 | − | 0.766738i | −0.0694524 | − | 0.0252786i | ||||
\(921\) | 10.7601 | − | 13.9832i | 0.354559 | − | 0.460762i | ||||
\(922\) | 8.69622 | − | 10.3638i | 0.286395 | − | 0.341312i | ||||
\(923\) | −6.65897 | + | 2.42367i | −0.219183 | + | 0.0797759i | ||||
\(924\) | −6.18780 | + | 4.21627i | −0.203564 | + | 0.138705i | ||||
\(925\) | 4.49993 | + | 25.5204i | 0.147957 | + | 0.839105i | ||||
\(926\) | 2.99798i | 0.0985196i | ||||||||
\(927\) | 45.5605 | + | 21.3973i | 1.49640 | + | 0.702781i | ||||
\(928\) | 0.343219 | 0.0112667 | ||||||||
\(929\) | 24.5750 | − | 20.6208i | 0.806278 | − | 0.676548i | −0.143438 | − | 0.989659i | \(-0.545816\pi\) |
0.949716 | + | 0.313112i | \(0.101371\pi\) | |||||||
\(930\) | −0.224590 | − | 1.01967i | −0.00736459 | − | 0.0334362i | ||||
\(931\) | −4.89842 | − | 11.1606i | −0.160539 | − | 0.365775i | ||||
\(932\) | 1.21189 | − | 1.44427i | 0.0396966 | − | 0.0473086i | ||||
\(933\) | −8.09064 | − | 2.56316i | −0.264876 | − | 0.0839140i | ||||
\(934\) | 5.04528 | − | 0.889619i | 0.165087 | − | 0.0291092i | ||||
\(935\) | − | 0.166510i | − | 0.00544545i | ||||||
\(936\) | 4.11430 | − | 8.76042i | 0.134480 | − | 0.286343i | ||||
\(937\) | −12.3826 | + | 7.14909i | −0.404522 | + | 0.233551i | −0.688433 | − | 0.725300i | \(-0.741701\pi\) |
0.283912 | + | 0.958850i | \(0.408368\pi\) | |||||||
\(938\) | 26.3037 | − | 5.51830i | 0.858845 | − | 0.180179i | ||||
\(939\) | 4.72859 | − | 3.00335i | 0.154312 | − | 0.0980105i | ||||
\(940\) | −0.116980 | + | 0.663427i | −0.00381547 | + | 0.0216386i | ||||
\(941\) | 40.9578 | − | 14.9074i | 1.33518 | − | 0.485968i | 0.426892 | − | 0.904303i | \(-0.359608\pi\) |
0.908293 | + | 0.418335i | \(0.137386\pi\) | |||||||
\(942\) | −8.45352 | − | 6.50503i | −0.275431 | − | 0.211945i | ||||
\(943\) | −58.1915 | + | 10.2607i | −1.89498 | + | 0.334135i | ||||
\(944\) | 10.4910 | 0.341454 | ||||||||
\(945\) | 1.59318 | − | 4.17495i | 0.0518261 | − | 0.135811i | ||||
\(946\) | 9.55635 | 0.310704 | ||||||||
\(947\) | −21.0041 | + | 3.70358i | −0.682540 | + | 0.120350i | −0.504159 | − | 0.863611i | \(-0.668197\pi\) |
−0.178382 | + | 0.983961i | \(0.557086\pi\) | |||||||
\(948\) | 13.1611 | − | 5.43040i | 0.427452 | − | 0.176371i | ||||
\(949\) | −28.6488 | + | 10.4273i | −0.929981 | + | 0.338485i | ||||
\(950\) | −1.47982 | + | 8.39249i | −0.0480118 | + | 0.272288i | ||||
\(951\) | 39.6430 | + | 20.7059i | 1.28551 | + | 0.671435i | ||||
\(952\) | −0.553400 | − | 0.617894i | −0.0179358 | − | 0.0200261i | ||||
\(953\) | −3.32480 | + | 1.91958i | −0.107701 | + | 0.0621812i | −0.552883 | − | 0.833259i | \(-0.686472\pi\) |
0.445182 | + | 0.895440i | \(0.353139\pi\) | |||||||
\(954\) | 2.56434 | − | 1.18723i | 0.0830237 | − | 0.0384381i | ||||
\(955\) | − | 0.238714i | − | 0.00772460i | ||||||
\(956\) | −25.9324 | + | 4.57258i | −0.838714 | + | 0.147888i | ||||
\(957\) | 0.717044 | − | 0.655245i | 0.0231787 | − | 0.0211811i | ||||
\(958\) | −9.51440 | + | 11.3388i | −0.307396 | + | 0.366341i | ||||
\(959\) | 22.3627 | + | 3.20325i | 0.722130 | + | 0.103438i | ||||
\(960\) | −0.415601 | + | 0.379782i | −0.0134135 | + | 0.0122574i | ||||
\(961\) | 21.1126 | − | 17.7156i | 0.681052 | − | 0.571471i | ||||
\(962\) | −17.0815 | −0.550729 | ||||||||
\(963\) | −0.521502 | − | 0.524367i | −0.0168052 | − | 0.0168975i | ||||
\(964\) | − | 12.4438i | − | 0.400787i | ||||||
\(965\) | 1.23301 | + | 6.99275i | 0.0396920 | + | 0.225104i | ||||
\(966\) | −13.7210 | + | 28.4719i | −0.441466 | + | 0.916067i | ||||
\(967\) | 10.2346 | − | 3.72510i | 0.329124 | − | 0.119791i | −0.172173 | − | 0.985067i | \(-0.555079\pi\) |
0.501297 | + | 0.865276i | \(0.332857\pi\) | |||||||
\(968\) | −5.35455 | + | 6.38130i | −0.172102 | + | 0.205103i | ||||
\(969\) | 0.937248 | + | 0.124697i | 0.0301088 | + | 0.00400585i | ||||
\(970\) | 4.83656 | + | 1.76036i | 0.155293 | + | 0.0565219i | ||||
\(971\) | 18.4938 | − | 32.0321i | 0.593493 | − | 1.02796i | −0.400265 | − | 0.916400i | \(-0.631082\pi\) |
0.993758 | − | 0.111561i | \(-0.0355849\pi\) | |||||||
\(972\) | 4.78924 | − | 14.8345i | 0.153615 | − | 0.475818i | ||||
\(973\) | 1.21356 | + | 37.6049i | 0.0389048 | + | 1.20556i | ||||
\(974\) | −24.1079 | − | 28.7307i | −0.772468 | − | 0.920591i | ||||
\(975\) | 10.4314 | + | 25.2814i | 0.334071 | + | 0.809653i | ||||
\(976\) | −1.47861 | − | 4.06244i | −0.0473291 | − | 0.130036i | ||||
\(977\) | −11.3890 | + | 13.5728i | −0.364365 | + | 0.434233i | −0.916815 | − | 0.399313i | \(-0.869249\pi\) |
0.552450 | + | 0.833546i | \(0.313693\pi\) | |||||||
\(978\) | −31.1252 | − | 16.2570i | −0.995273 | − | 0.519840i | ||||
\(979\) | −3.91982 | + | 0.691171i | −0.125278 | + | 0.0220899i | ||||
\(980\) | 1.26233 | + | 1.89302i | 0.0403237 | + | 0.0604703i | ||||
\(981\) | 10.4969 | + | 39.6086i | 0.335140 | + | 1.26460i | ||||
\(982\) | −8.91418 | − | 15.4398i | −0.284463 | − | 0.492704i | ||||
\(983\) | −6.63552 | − | 37.6319i | −0.211640 | − | 1.20027i | −0.886642 | − | 0.462456i | \(-0.846968\pi\) |
0.675002 | − | 0.737816i | \(-0.264143\pi\) | |||||||
\(984\) | −4.48166 | + | 14.1464i | −0.142870 | + | 0.450971i | ||||
\(985\) | −1.24513 | − | 3.42096i | −0.0396730 | − | 0.109001i | ||||
\(986\) | 0.0824298 | + | 0.0691668i | 0.00262510 | + | 0.00220272i | ||||
\(987\) | 9.14184 | + | 2.57484i | 0.290988 | + | 0.0819581i | ||||
\(988\) | −5.27856 | − | 1.92124i | −0.167933 | − | 0.0611227i | ||||
\(989\) | 34.9331 | − | 20.1687i | 1.11081 | − | 0.641326i | ||||
\(990\) | −0.143214 | + | 1.58686i | −0.00455164 | + | 0.0504339i | ||||
\(991\) | 22.2247 | − | 38.4944i | 0.705992 | − | 1.22281i | −0.260340 | − | 0.965517i | \(-0.583835\pi\) |
0.966332 | − | 0.257297i | \(-0.0828319\pi\) | |||||||
\(992\) | 1.74273 | + | 0.634301i | 0.0553317 | + | 0.0201391i | ||||
\(993\) | −2.36954 | + | 4.53666i | −0.0751951 | + | 0.143967i | ||||
\(994\) | 0.824027 | − | 5.75274i | 0.0261366 | − | 0.182466i | ||||
\(995\) | −3.62112 | − | 0.638501i | −0.114797 | − | 0.0202419i | ||||
\(996\) | −12.1508 | − | 9.35014i | −0.385014 | − | 0.296271i | ||||
\(997\) | 20.4378 | − | 56.1524i | 0.647272 | − | 1.77836i | 0.0196995 | − | 0.999806i | \(-0.493729\pi\) |
0.627572 | − | 0.778558i | \(-0.284049\pi\) | |||||||
\(998\) | −0.729308 | + | 0.421066i | −0.0230858 | + | 0.0133286i | ||||
\(999\) | −27.2912 | + | 3.47893i | −0.863455 | + | 0.110069i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 378.2.bf.a.5.18 | yes | 144 | |
7.3 | odd | 6 | 378.2.ba.a.59.10 | ✓ | 144 | ||
27.11 | odd | 18 | 378.2.ba.a.173.10 | yes | 144 | ||
189.38 | even | 18 | inner | 378.2.bf.a.227.18 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.ba.a.59.10 | ✓ | 144 | 7.3 | odd | 6 | ||
378.2.ba.a.173.10 | yes | 144 | 27.11 | odd | 18 | ||
378.2.bf.a.5.18 | yes | 144 | 1.1 | even | 1 | trivial | |
378.2.bf.a.227.18 | yes | 144 | 189.38 | even | 18 | inner |