Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(9,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Character | \(\chi\) | \(=\) | 230.29 |
Dual form | 230.2.j.a.119.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.909632 | − | 0.415415i | −0.643207 | − | 0.293743i | ||||
\(3\) | 0.0359844 | − | 0.122552i | 0.0207756 | − | 0.0707552i | −0.948453 | − | 0.316919i | \(-0.897352\pi\) |
0.969228 | + | 0.246163i | \(0.0791700\pi\) | |||||||
\(4\) | 0.654861 | + | 0.755750i | 0.327430 | + | 0.377875i | ||||
\(5\) | −1.96836 | + | 1.06092i | −0.880278 | + | 0.474458i | ||||
\(6\) | −0.0836423 | + | 0.0965284i | −0.0341468 | + | 0.0394075i | ||||
\(7\) | −0.277941 | − | 0.0399619i | −0.105052 | − | 0.0151042i | 0.0895884 | − | 0.995979i | \(-0.471445\pi\) |
−0.194640 | + | 0.980875i | \(0.562354\pi\) | |||||||
\(8\) | −0.281733 | − | 0.959493i | −0.0996075 | − | 0.339232i | ||||
\(9\) | 2.51004 | + | 1.61310i | 0.836679 | + | 0.537701i | ||||
\(10\) | 2.23121 | − | 0.147361i | 0.705570 | − | 0.0465996i | ||||
\(11\) | 2.07071 | + | 4.53422i | 0.624342 | + | 1.36712i | 0.912319 | + | 0.409480i | \(0.134290\pi\) |
−0.287977 | + | 0.957637i | \(0.592983\pi\) | |||||||
\(12\) | 0.116183 | − | 0.0530590i | 0.0335392 | − | 0.0153168i | ||||
\(13\) | −3.69726 | + | 0.531586i | −1.02544 | + | 0.147435i | −0.634452 | − | 0.772962i | \(-0.718774\pi\) |
−0.390984 | + | 0.920397i | \(0.627865\pi\) | |||||||
\(14\) | 0.236223 | + | 0.151811i | 0.0631333 | + | 0.0405733i | ||||
\(15\) | 0.0591873 | + | 0.279402i | 0.0152821 | + | 0.0721414i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 5.80355 | + | 5.02880i | 1.40757 | + | 1.21966i | 0.942420 | + | 0.334431i | \(0.108544\pi\) |
0.465147 | + | 0.885233i | \(0.346001\pi\) | |||||||
\(18\) | −1.61310 | − | 2.51004i | −0.380212 | − | 0.591621i | ||||
\(19\) | −2.73415 | − | 3.15538i | −0.627258 | − | 0.723894i | 0.349811 | − | 0.936820i | \(-0.386246\pi\) |
−0.977068 | + | 0.212927i | \(0.931700\pi\) | |||||||
\(20\) | −2.09079 | − | 0.792833i | −0.467516 | − | 0.177283i | ||||
\(21\) | −0.0148989 | + | 0.0326241i | −0.00325121 | + | 0.00711916i | ||||
\(22\) | − | 4.98467i | − | 1.06274i | ||||||
\(23\) | 0.919072 | + | 4.70694i | 0.191640 | + | 0.981465i | ||||
\(24\) | −0.127725 | −0.0260718 | ||||||||
\(25\) | 2.74889 | − | 4.17655i | 0.549779 | − | 0.835310i | ||||
\(26\) | 3.58398 | + | 1.05235i | 0.702876 | + | 0.206383i | ||||
\(27\) | 0.577595 | − | 0.500489i | 0.111158 | − | 0.0963192i | ||||
\(28\) | −0.151811 | − | 0.236223i | −0.0286897 | − | 0.0446420i | ||||
\(29\) | −1.53549 | + | 1.77205i | −0.285133 | + | 0.329061i | −0.880189 | − | 0.474623i | \(-0.842584\pi\) |
0.595056 | + | 0.803684i | \(0.297130\pi\) | |||||||
\(30\) | 0.0622293 | − | 0.278741i | 0.0113615 | − | 0.0508908i | ||||
\(31\) | 3.18900 | − | 0.936376i | 0.572762 | − | 0.168178i | 0.0174902 | − | 0.999847i | \(-0.494432\pi\) |
0.555272 | + | 0.831669i | \(0.312614\pi\) | |||||||
\(32\) | 0.540641 | − | 0.841254i | 0.0955727 | − | 0.148714i | ||||
\(33\) | 0.630188 | − | 0.0906074i | 0.109702 | − | 0.0157727i | ||||
\(34\) | −3.19005 | − | 6.98524i | −0.547090 | − | 1.19796i | ||||
\(35\) | 0.589484 | − | 0.216214i | 0.0996410 | − | 0.0365468i | ||||
\(36\) | 0.424623 | + | 2.95332i | 0.0707705 | + | 0.492219i | ||||
\(37\) | −4.55996 | + | 7.09543i | −0.749652 | + | 1.16648i | 0.231423 | + | 0.972853i | \(0.425662\pi\) |
−0.981075 | + | 0.193628i | \(0.937974\pi\) | |||||||
\(38\) | 1.17628 | + | 4.00604i | 0.190818 | + | 0.649866i | ||||
\(39\) | −0.0678970 | + | 0.472234i | −0.0108722 | + | 0.0756180i | ||||
\(40\) | 1.57250 | + | 1.58973i | 0.248634 | + | 0.251359i | ||||
\(41\) | 1.35119 | − | 0.868354i | 0.211020 | − | 0.135614i | −0.430862 | − | 0.902418i | \(-0.641790\pi\) |
0.641882 | + | 0.766804i | \(0.278154\pi\) | |||||||
\(42\) | 0.0271051 | − | 0.0234867i | 0.00418240 | − | 0.00362407i | ||||
\(43\) | 2.28629 | − | 7.78640i | 0.348657 | − | 1.18742i | −0.579421 | − | 0.815028i | \(-0.696721\pi\) |
0.928078 | − | 0.372387i | \(-0.121461\pi\) | |||||||
\(44\) | −2.07071 | + | 4.53422i | −0.312171 | + | 0.683559i | ||||
\(45\) | −6.65203 | − | 0.512218i | −0.991627 | − | 0.0763570i | ||||
\(46\) | 1.11932 | − | 4.66338i | 0.165034 | − | 0.687578i | ||||
\(47\) | − | 5.98632i | − | 0.873194i | −0.899657 | − | 0.436597i | \(-0.856184\pi\) | ||
0.899657 | − | 0.436597i | \(-0.143816\pi\) | |||||||
\(48\) | 0.116183 | + | 0.0530590i | 0.0167696 | + | 0.00765841i | ||||
\(49\) | −6.64080 | − | 1.94991i | −0.948685 | − | 0.278559i | ||||
\(50\) | −4.23548 | + | 2.65719i | −0.598988 | + | 0.375784i | ||||
\(51\) | 0.825125 | − | 0.530276i | 0.115541 | − | 0.0742534i | ||||
\(52\) | −2.82294 | − | 2.44609i | −0.391471 | − | 0.339212i | ||||
\(53\) | −10.5552 | − | 1.51760i | −1.44986 | − | 0.208459i | −0.628030 | − | 0.778189i | \(-0.716138\pi\) |
−0.821832 | + | 0.569731i | \(0.807048\pi\) | |||||||
\(54\) | −0.733310 | + | 0.215319i | −0.0997909 | + | 0.0293012i | ||||
\(55\) | −8.88634 | − | 6.72812i | −1.19823 | − | 0.907219i | ||||
\(56\) | 0.0399619 | + | 0.277941i | 0.00534013 | + | 0.0371414i | ||||
\(57\) | −0.485083 | + | 0.221530i | −0.0642509 | + | 0.0293424i | ||||
\(58\) | 2.13286 | − | 0.974046i | 0.280059 | − | 0.127899i | ||||
\(59\) | −1.46074 | − | 10.1597i | −0.190173 | − | 1.32268i | −0.831548 | − | 0.555453i | \(-0.812545\pi\) |
0.641375 | − | 0.767227i | \(-0.278364\pi\) | |||||||
\(60\) | −0.172399 | + | 0.227700i | −0.0222566 | + | 0.0293960i | ||||
\(61\) | 10.4089 | − | 3.05634i | 1.33273 | − | 0.391325i | 0.463659 | − | 0.886014i | \(-0.346536\pi\) |
0.869070 | + | 0.494689i | \(0.164718\pi\) | |||||||
\(62\) | −3.28980 | − | 0.473003i | −0.417806 | − | 0.0600714i | ||||
\(63\) | −0.633179 | − | 0.548653i | −0.0797731 | − | 0.0691238i | ||||
\(64\) | −0.841254 | + | 0.540641i | −0.105157 | + | 0.0675801i | ||||
\(65\) | 6.71358 | − | 4.96886i | 0.832717 | − | 0.616311i | ||||
\(66\) | −0.610879 | − | 0.179370i | −0.0751940 | − | 0.0220790i | ||||
\(67\) | 8.30299 | + | 3.79185i | 1.01437 | + | 0.463248i | 0.852033 | − | 0.523487i | \(-0.175369\pi\) |
0.162338 | + | 0.986735i | \(0.448097\pi\) | |||||||
\(68\) | 7.67920i | 0.931239i | ||||||||
\(69\) | 0.609915 | + | 0.0567427i | 0.0734252 | + | 0.00683102i | ||||
\(70\) | −0.626032 | − | 0.0482056i | −0.0748252 | − | 0.00576167i | ||||
\(71\) | −1.57188 | + | 3.44193i | −0.186547 | + | 0.408482i | −0.979680 | − | 0.200567i | \(-0.935721\pi\) |
0.793133 | + | 0.609049i | \(0.208449\pi\) | |||||||
\(72\) | 0.840602 | − | 2.86283i | 0.0990658 | − | 0.337387i | ||||
\(73\) | −7.70105 | + | 6.67300i | −0.901340 | + | 0.781015i | −0.976356 | − | 0.216167i | \(-0.930644\pi\) |
0.0750167 | + | 0.997182i | \(0.476099\pi\) | |||||||
\(74\) | 7.09543 | − | 4.55996i | 0.824827 | − | 0.530084i | ||||
\(75\) | −0.412926 | − | 0.487172i | −0.0476806 | − | 0.0562537i | ||||
\(76\) | 0.594188 | − | 4.13267i | 0.0681580 | − | 0.474050i | ||||
\(77\) | −0.394338 | − | 1.34299i | −0.0449390 | − | 0.153048i | ||||
\(78\) | 0.257934 | − | 0.401354i | 0.0292053 | − | 0.0454444i | ||||
\(79\) | 0.687186 | + | 4.77948i | 0.0773145 | + | 0.537734i | 0.991263 | + | 0.131903i | \(0.0421087\pi\) |
−0.913948 | + | 0.405831i | \(0.866982\pi\) | |||||||
\(80\) | −0.769995 | − | 2.09931i | −0.0860881 | − | 0.234710i | ||||
\(81\) | 3.67785 | + | 8.05337i | 0.408650 | + | 0.894819i | ||||
\(82\) | −1.58981 | + | 0.228580i | −0.175565 | + | 0.0252424i | ||||
\(83\) | 6.83669 | − | 10.6381i | 0.750425 | − | 1.16768i | −0.230458 | − | 0.973082i | \(-0.574022\pi\) |
0.980882 | − | 0.194601i | \(-0.0623412\pi\) | |||||||
\(84\) | −0.0344123 | + | 0.0101044i | −0.00375469 | + | 0.00110248i | ||||
\(85\) | −16.7586 | − | 3.74140i | −1.81773 | − | 0.405811i | ||||
\(86\) | −5.31428 | + | 6.13300i | −0.573053 | + | 0.661339i | ||||
\(87\) | 0.161914 | + | 0.251942i | 0.0173590 | + | 0.0270111i | ||||
\(88\) | 3.76716 | − | 3.26427i | 0.401581 | − | 0.347972i | ||||
\(89\) | −5.36601 | − | 1.57560i | −0.568796 | − | 0.167014i | −0.0153257 | − | 0.999883i | \(-0.504879\pi\) |
−0.553470 | + | 0.832869i | \(0.686697\pi\) | |||||||
\(90\) | 5.83812 | + | 3.22928i | 0.615392 | + | 0.340396i | ||||
\(91\) | 1.04886 | 0.109951 | ||||||||
\(92\) | −2.95541 | + | 3.77698i | −0.308122 | + | 0.393777i | ||||
\(93\) | − | 0.424512i | − | 0.0440199i | ||||||
\(94\) | −2.48681 | + | 5.44534i | −0.256494 | + | 0.561644i | ||||
\(95\) | 8.72941 | + | 3.31021i | 0.895618 | + | 0.339620i | ||||
\(96\) | −0.0836423 | − | 0.0965284i | −0.00853671 | − | 0.00985188i | ||||
\(97\) | 2.46614 | + | 3.83739i | 0.250398 | + | 0.389628i | 0.943585 | − | 0.331131i | \(-0.107430\pi\) |
−0.693186 | + | 0.720758i | \(0.743794\pi\) | |||||||
\(98\) | 5.23066 | + | 4.53239i | 0.528376 | + | 0.457841i | ||||
\(99\) | −2.11660 | + | 14.7213i | −0.212727 | + | 1.47955i | ||||
\(100\) | 4.95657 | − | 0.657585i | 0.495657 | − | 0.0657585i | ||||
\(101\) | 1.61923 | + | 1.04062i | 0.161119 | + | 0.103545i | 0.618716 | − | 0.785615i | \(-0.287653\pi\) |
−0.457596 | + | 0.889160i | \(0.651290\pi\) | |||||||
\(102\) | −0.970844 | + | 0.139586i | −0.0961279 | + | 0.0138211i | ||||
\(103\) | 13.7653 | − | 6.28640i | 1.35633 | − | 0.619417i | 0.401310 | − | 0.915943i | \(-0.368555\pi\) |
0.955025 | + | 0.296525i | \(0.0958279\pi\) | |||||||
\(104\) | 1.55169 | + | 3.39773i | 0.152156 | + | 0.333175i | ||||
\(105\) | −0.00528512 | − | 0.0800225i | −0.000515775 | − | 0.00780940i | ||||
\(106\) | 8.97087 | + | 5.76523i | 0.871328 | + | 0.559968i | ||||
\(107\) | 2.00341 | + | 6.82299i | 0.193677 | + | 0.659603i | 0.997870 | + | 0.0652348i | \(0.0207796\pi\) |
−0.804193 | + | 0.594368i | \(0.797402\pi\) | |||||||
\(108\) | 0.756489 | + | 0.108767i | 0.0727932 | + | 0.0104661i | ||||
\(109\) | 6.96543 | − | 8.03854i | 0.667167 | − | 0.769952i | −0.316763 | − | 0.948505i | \(-0.602596\pi\) |
0.983930 | + | 0.178553i | \(0.0571415\pi\) | |||||||
\(110\) | 5.28834 | + | 9.81163i | 0.504224 | + | 0.935503i | ||||
\(111\) | 0.705469 | + | 0.814154i | 0.0669601 | + | 0.0772761i | ||||
\(112\) | 0.0791102 | − | 0.269425i | 0.00747521 | − | 0.0254582i | ||||
\(113\) | 11.3093 | + | 5.16480i | 1.06389 | + | 0.485864i | 0.868924 | − | 0.494946i | \(-0.164812\pi\) |
0.194969 | + | 0.980809i | \(0.437539\pi\) | |||||||
\(114\) | 0.533274 | 0.0499457 | ||||||||
\(115\) | −6.80276 | − | 8.28990i | −0.634361 | − | 0.773037i | ||||
\(116\) | −2.34475 | −0.217705 | ||||||||
\(117\) | −10.1378 | − | 4.62976i | −0.937237 | − | 0.428022i | ||||
\(118\) | −2.89175 | + | 9.84840i | −0.266207 | + | 0.906619i | ||||
\(119\) | −1.41208 | − | 1.62963i | −0.129445 | − | 0.149388i | ||||
\(120\) | 0.251410 | − | 0.135506i | 0.0229504 | − | 0.0123700i | ||||
\(121\) | −9.06782 | + | 10.4648i | −0.824347 | + | 0.951347i | ||||
\(122\) | −10.7380 | − | 1.54389i | −0.972170 | − | 0.139777i | ||||
\(123\) | −0.0577966 | − | 0.196837i | −0.00521134 | − | 0.0177482i | ||||
\(124\) | 2.79602 | + | 1.79689i | 0.251090 | + | 0.161366i | ||||
\(125\) | −0.979823 | + | 11.1373i | −0.0876380 | + | 0.996152i | ||||
\(126\) | 0.348041 | + | 0.762104i | 0.0310060 | + | 0.0678936i | ||||
\(127\) | 16.4027 | − | 7.49084i | 1.45550 | − | 0.664705i | 0.478528 | − | 0.878072i | \(-0.341170\pi\) |
0.976972 | + | 0.213368i | \(0.0684432\pi\) | |||||||
\(128\) | 0.989821 | − | 0.142315i | 0.0874887 | − | 0.0125790i | ||||
\(129\) | −0.871965 | − | 0.560378i | −0.0767722 | − | 0.0493385i | ||||
\(130\) | −8.17103 | + | 1.73091i | −0.716646 | + | 0.151811i | ||||
\(131\) | −0.239081 | + | 1.66284i | −0.0208886 | + | 0.145283i | −0.997597 | − | 0.0692895i | \(-0.977927\pi\) |
0.976708 | + | 0.214573i | \(0.0688359\pi\) | |||||||
\(132\) | 0.481162 | + | 0.416929i | 0.0418798 | + | 0.0362890i | ||||
\(133\) | 0.633838 | + | 0.986271i | 0.0549607 | + | 0.0855205i | ||||
\(134\) | −5.97747 | − | 6.89837i | −0.516375 | − | 0.595929i | ||||
\(135\) | −0.605937 | + | 1.59793i | −0.0521507 | + | 0.137528i | ||||
\(136\) | 3.19005 | − | 6.98524i | 0.273545 | − | 0.598980i | ||||
\(137\) | − | 0.809274i | − | 0.0691410i | −0.999402 | − | 0.0345705i | \(-0.988994\pi\) | ||
0.999402 | − | 0.0345705i | \(-0.0110063\pi\) | |||||||
\(138\) | −0.531227 | − | 0.304983i | −0.0452210 | − | 0.0259619i | ||||
\(139\) | 14.9861 | 1.27111 | 0.635554 | − | 0.772057i | \(-0.280772\pi\) | ||||
0.635554 | + | 0.772057i | \(0.280772\pi\) | |||||||
\(140\) | 0.549434 | + | 0.303913i | 0.0464356 | + | 0.0256853i | ||||
\(141\) | −0.733632 | − | 0.215414i | −0.0617830 | − | 0.0181411i | ||||
\(142\) | 2.85966 | − | 2.47791i | 0.239977 | − | 0.207941i | ||||
\(143\) | −10.0663 | − | 15.6634i | −0.841784 | − | 1.30984i | ||||
\(144\) | −1.95390 | + | 2.25492i | −0.162825 | + | 0.187910i | ||||
\(145\) | 1.14239 | − | 5.11706i | 0.0948705 | − | 0.424949i | ||||
\(146\) | 9.77718 | − | 2.87084i | 0.809166 | − | 0.237592i | ||||
\(147\) | −0.477930 | + | 0.743673i | −0.0394190 | + | 0.0613372i | ||||
\(148\) | −8.34850 | + | 1.20033i | −0.686243 | + | 0.0986668i | ||||
\(149\) | 4.53178 | + | 9.92321i | 0.371258 | + | 0.812941i | 0.999393 | + | 0.0348367i | \(0.0110911\pi\) |
−0.628135 | + | 0.778104i | \(0.716182\pi\) | |||||||
\(150\) | 0.173232 | + | 0.614683i | 0.0141443 | + | 0.0501886i | ||||
\(151\) | −1.99528 | − | 13.8775i | −0.162374 | − | 1.12933i | −0.894143 | − | 0.447781i | \(-0.852214\pi\) |
0.731770 | − | 0.681552i | \(-0.238695\pi\) | |||||||
\(152\) | −2.25727 | + | 3.51237i | −0.183088 | + | 0.284891i | ||||
\(153\) | 6.45514 | + | 21.9842i | 0.521868 | + | 1.77732i | ||||
\(154\) | −0.199197 | + | 1.38544i | −0.0160517 | + | 0.111642i | ||||
\(155\) | −5.28369 | + | 5.22641i | −0.424396 | + | 0.419795i | ||||
\(156\) | −0.401354 | + | 0.257934i | −0.0321340 | + | 0.0206513i | ||||
\(157\) | 2.38154 | − | 2.06362i | 0.190068 | − | 0.164695i | −0.554629 | − | 0.832098i | \(-0.687140\pi\) |
0.744696 | + | 0.667403i | \(0.232594\pi\) | |||||||
\(158\) | 1.36038 | − | 4.63304i | 0.108226 | − | 0.368585i | ||||
\(159\) | −0.565805 | + | 1.23894i | −0.0448713 | + | 0.0982543i | ||||
\(160\) | −0.171673 | + | 2.22947i | −0.0135719 | + | 0.176255i | ||||
\(161\) | −0.0673495 | − | 1.34498i | −0.00530788 | − | 0.105999i | ||||
\(162\) | − | 8.85344i | − | 0.695592i | ||||||
\(163\) | −10.4484 | − | 4.77165i | −0.818386 | − | 0.373744i | −0.0381828 | − | 0.999271i | \(-0.512157\pi\) |
−0.780203 | + | 0.625527i | \(0.784884\pi\) | |||||||
\(164\) | 1.54110 | + | 0.452507i | 0.120339 | + | 0.0353348i | ||||
\(165\) | −1.14431 | + | 0.846928i | −0.0890845 | + | 0.0659333i | ||||
\(166\) | −10.6381 | + | 6.83669i | −0.825677 | + | 0.530630i | ||||
\(167\) | −10.4103 | − | 9.02060i | −0.805575 | − | 0.698035i | 0.151315 | − | 0.988486i | \(-0.451649\pi\) |
−0.956890 | + | 0.290451i | \(0.906195\pi\) | |||||||
\(168\) | 0.0355001 | + | 0.00510414i | 0.00273889 | + | 0.000393793i | ||||
\(169\) | 0.913765 | − | 0.268306i | 0.0702896 | − | 0.0206389i | ||||
\(170\) | 13.6900 | + | 10.3651i | 1.04997 | + | 0.794966i | ||||
\(171\) | −1.77287 | − | 12.3306i | −0.135575 | − | 0.942944i | ||||
\(172\) | 7.38178 | − | 3.37114i | 0.562855 | − | 0.257047i | ||||
\(173\) | 5.24943 | − | 2.39734i | 0.399107 | − | 0.182266i | −0.205742 | − | 0.978606i | \(-0.565961\pi\) |
0.604849 | + | 0.796340i | \(0.293233\pi\) | |||||||
\(174\) | −0.0426211 | − | 0.296436i | −0.00323110 | − | 0.0224728i | ||||
\(175\) | −0.930932 | + | 1.05098i | −0.0703719 | + | 0.0794469i | ||||
\(176\) | −4.78276 | + | 1.40434i | −0.360514 | + | 0.105856i | ||||
\(177\) | −1.29765 | − | 0.186574i | −0.0975374 | − | 0.0140238i | ||||
\(178\) | 4.22656 | + | 3.66234i | 0.316794 | + | 0.274504i | ||||
\(179\) | −6.13268 | + | 3.94123i | −0.458378 | + | 0.294582i | −0.749379 | − | 0.662141i | \(-0.769648\pi\) |
0.291001 | + | 0.956723i | \(0.406012\pi\) | |||||||
\(180\) | −3.96905 | − | 5.36270i | −0.295835 | − | 0.399712i | ||||
\(181\) | −6.47102 | − | 1.90006i | −0.480987 | − | 0.141231i | 0.0322457 | − | 0.999480i | \(-0.489734\pi\) |
−0.513233 | + | 0.858249i | \(0.671552\pi\) | |||||||
\(182\) | −0.954080 | − | 0.435714i | −0.0707211 | − | 0.0322972i | ||||
\(183\) | − | 1.38561i | − | 0.102427i | ||||||
\(184\) | 4.25735 | − | 2.20794i | 0.313856 | − | 0.162772i | ||||
\(185\) | 1.44795 | − | 18.8041i | 0.106455 | − | 1.38251i | ||||
\(186\) | −0.176349 | + | 0.386150i | −0.0129305 | + | 0.0283139i | ||||
\(187\) | −10.7842 | + | 36.7277i | −0.788621 | + | 2.68580i | ||||
\(188\) | 4.52416 | − | 3.92020i | 0.329958 | − | 0.285910i | ||||
\(189\) | −0.180538 | + | 0.116025i | −0.0131322 | + | 0.00843955i | ||||
\(190\) | −6.56544 | − | 6.63740i | −0.476307 | − | 0.481527i | ||||
\(191\) | −1.27458 | + | 8.86490i | −0.0922254 | + | 0.641442i | 0.890309 | + | 0.455358i | \(0.150489\pi\) |
−0.982534 | + | 0.186084i | \(0.940420\pi\) | |||||||
\(192\) | 0.0359844 | + | 0.122552i | 0.00259695 | + | 0.00884440i | ||||
\(193\) | 1.38166 | − | 2.14990i | 0.0994540 | − | 0.154753i | −0.787960 | − | 0.615726i | \(-0.788863\pi\) |
0.887415 | + | 0.460972i | \(0.152499\pi\) | |||||||
\(194\) | −0.649171 | − | 4.51508i | −0.0466077 | − | 0.324164i | ||||
\(195\) | −0.367357 | − | 1.00156i | −0.0263070 | − | 0.0717233i | ||||
\(196\) | −2.87515 | − | 6.29570i | −0.205368 | − | 0.449693i | ||||
\(197\) | 6.50936 | − | 0.935904i | 0.463773 | − | 0.0666804i | 0.0935319 | − | 0.995616i | \(-0.470184\pi\) |
0.370241 | + | 0.928936i | \(0.379275\pi\) | |||||||
\(198\) | 8.04079 | − | 12.5117i | 0.571434 | − | 0.889168i | ||||
\(199\) | 8.55843 | − | 2.51298i | 0.606691 | − | 0.178140i | 0.0360633 | − | 0.999350i | \(-0.488518\pi\) |
0.570627 | + | 0.821209i | \(0.306700\pi\) | |||||||
\(200\) | −4.78183 | − | 1.46087i | −0.338126 | − | 0.103299i | ||||
\(201\) | 0.763475 | − | 0.881097i | 0.0538514 | − | 0.0621478i | ||||
\(202\) | −1.04062 | − | 1.61923i | −0.0732175 | − | 0.113929i | ||||
\(203\) | 0.497589 | − | 0.431163i | 0.0349239 | − | 0.0302617i | ||||
\(204\) | 0.941097 | + | 0.276331i | 0.0658900 | + | 0.0193470i | ||||
\(205\) | −1.73837 | + | 3.14274i | −0.121413 | + | 0.219498i | ||||
\(206\) | −15.1328 | −1.05435 | ||||||||
\(207\) | −5.28588 | + | 13.2972i | −0.367394 | + | 0.924216i | ||||
\(208\) | − | 3.73528i | − | 0.258995i | ||||||
\(209\) | 8.64555 | − | 18.9311i | 0.598025 | − | 1.30949i | ||||
\(210\) | −0.0284351 | + | 0.0749866i | −0.00196221 | + | 0.00517457i | ||||
\(211\) | −9.02200 | − | 10.4119i | −0.621100 | − | 0.716788i | 0.354815 | − | 0.934936i | \(-0.384544\pi\) |
−0.975916 | + | 0.218149i | \(0.929998\pi\) | |||||||
\(212\) | −5.76523 | − | 8.97087i | −0.395957 | − | 0.616122i | ||||
\(213\) | 0.365251 | + | 0.316492i | 0.0250266 | + | 0.0216856i | ||||
\(214\) | 1.01201 | − | 7.03865i | 0.0691793 | − | 0.481152i | ||||
\(215\) | 3.76051 | + | 17.7520i | 0.256464 | + | 1.21068i | ||||
\(216\) | −0.642943 | − | 0.413195i | −0.0437468 | − | 0.0281143i | ||||
\(217\) | −0.923774 | + | 0.132819i | −0.0627098 | + | 0.00901631i | ||||
\(218\) | −9.67531 | + | 4.41856i | −0.655294 | + | 0.299263i | ||||
\(219\) | 0.540669 | + | 1.18390i | 0.0365350 | + | 0.0800005i | ||||
\(220\) | −0.734545 | − | 11.1218i | −0.0495230 | − | 0.749834i | ||||
\(221\) | −24.1305 | − | 15.5077i | −1.62319 | − | 1.04316i | ||||
\(222\) | −0.303505 | − | 1.03364i | −0.0203699 | − | 0.0693736i | ||||
\(223\) | 0.341892 | + | 0.0491567i | 0.0228948 | + | 0.00329177i | 0.153753 | − | 0.988109i | \(-0.450864\pi\) |
−0.130858 | + | 0.991401i | \(0.541773\pi\) | |||||||
\(224\) | −0.183884 | + | 0.212214i | −0.0122863 | + | 0.0141791i | ||||
\(225\) | 13.6370 | − | 6.04905i | 0.909135 | − | 0.403270i | ||||
\(226\) | −8.14180 | − | 9.39614i | −0.541584 | − | 0.625022i | ||||
\(227\) | 2.18901 | − | 7.45510i | 0.145290 | − | 0.494812i | −0.854402 | − | 0.519612i | \(-0.826077\pi\) |
0.999692 | + | 0.0247995i | \(0.00789474\pi\) | |||||||
\(228\) | −0.485083 | − | 0.221530i | −0.0321254 | − | 0.0146712i | ||||
\(229\) | −7.14024 | −0.471841 | −0.235920 | − | 0.971772i | \(-0.575810\pi\) | ||||
−0.235920 | + | 0.971772i | \(0.575810\pi\) | |||||||
\(230\) | 2.74426 | + | 10.3667i | 0.180951 | + | 0.683562i | ||||
\(231\) | −0.178776 | −0.0117626 | ||||||||
\(232\) | 2.13286 | + | 0.974046i | 0.140029 | + | 0.0639493i | ||||
\(233\) | −2.52146 | + | 8.58730i | −0.165186 | + | 0.562573i | 0.834743 | + | 0.550640i | \(0.185616\pi\) |
−0.999929 | + | 0.0119323i | \(0.996202\pi\) | |||||||
\(234\) | 7.29837 | + | 8.42276i | 0.477109 | + | 0.550613i | ||||
\(235\) | 6.35101 | + | 11.7832i | 0.414294 | + | 0.768653i | ||||
\(236\) | 6.72160 | − | 7.75714i | 0.437539 | − | 0.504947i | ||||
\(237\) | 0.610461 | + | 0.0877711i | 0.0396537 | + | 0.00570134i | ||||
\(238\) | 0.607503 | + | 2.06896i | 0.0393786 | + | 0.134111i | ||||
\(239\) | −16.1199 | − | 10.3596i | −1.04271 | − | 0.670107i | −0.0970521 | − | 0.995279i | \(-0.530941\pi\) |
−0.945655 | + | 0.325172i | \(0.894578\pi\) | |||||||
\(240\) | −0.284982 | + | 0.0188217i | −0.0183955 | + | 0.00121494i | ||||
\(241\) | −6.46276 | − | 14.1515i | −0.416303 | − | 0.911576i | −0.995354 | − | 0.0962849i | \(-0.969304\pi\) |
0.579051 | − | 0.815291i | \(-0.303423\pi\) | |||||||
\(242\) | 12.5956 | − | 5.75223i | 0.809677 | − | 0.369767i | ||||
\(243\) | 3.38877 | − | 0.487231i | 0.217389 | − | 0.0312559i | ||||
\(244\) | 9.12624 | + | 5.86508i | 0.584248 | + | 0.375473i | ||||
\(245\) | 15.1402 | − | 3.20723i | 0.967271 | − | 0.204902i | ||||
\(246\) | −0.0291954 | + | 0.203059i | −0.00186143 | + | 0.0129466i | ||||
\(247\) | 11.7862 | + | 10.2128i | 0.749940 | + | 0.649827i | ||||
\(248\) | −1.79689 | − | 2.79602i | −0.114103 | − | 0.177547i | ||||
\(249\) | −1.05770 | − | 1.22065i | −0.0670291 | − | 0.0773557i | ||||
\(250\) | 5.51789 | − | 9.72383i | 0.348982 | − | 0.614989i | ||||
\(251\) | −8.44330 | + | 18.4883i | −0.532937 | + | 1.16697i | 0.431369 | + | 0.902176i | \(0.358031\pi\) |
−0.964305 | + | 0.264793i | \(0.914697\pi\) | |||||||
\(252\) | − | 0.837816i | − | 0.0527774i | ||||||
\(253\) | −19.4392 | + | 13.9140i | −1.22213 | + | 0.874764i | ||||
\(254\) | −18.0322 | −1.13144 | ||||||||
\(255\) | −1.06156 | + | 1.91917i | −0.0664777 | + | 0.120183i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 11.5971 | − | 10.0489i | 0.723405 | − | 0.626834i | −0.213286 | − | 0.976990i | \(-0.568417\pi\) |
0.936692 | + | 0.350155i | \(0.113871\pi\) | |||||||
\(258\) | 0.560378 | + | 0.871965i | 0.0348876 | + | 0.0542862i | ||||
\(259\) | 1.55094 | − | 1.78989i | 0.0963710 | − | 0.111218i | ||||
\(260\) | 8.15167 | + | 1.81987i | 0.505545 | + | 0.112864i | ||||
\(261\) | −6.71262 | + | 1.97100i | −0.415501 | + | 0.122002i | ||||
\(262\) | 0.908245 | − | 1.41326i | 0.0561116 | − | 0.0873113i | ||||
\(263\) | −14.7581 | + | 2.12189i | −0.910024 | + | 0.130842i | −0.581399 | − | 0.813619i | \(-0.697494\pi\) |
−0.328625 | + | 0.944460i | \(0.606585\pi\) | |||||||
\(264\) | −0.264482 | − | 0.579134i | −0.0162777 | − | 0.0356432i | ||||
\(265\) | 22.3864 | − | 8.21099i | 1.37519 | − | 0.504397i | ||||
\(266\) | −0.166847 | − | 1.16045i | −0.0102301 | − | 0.0711517i | ||||
\(267\) | −0.386185 | + | 0.600916i | −0.0236341 | + | 0.0367754i | ||||
\(268\) | 2.57161 | + | 8.75811i | 0.157086 | + | 0.534987i | ||||
\(269\) | −1.18916 | + | 8.27078i | −0.0725043 | + | 0.504279i | 0.920917 | + | 0.389759i | \(0.127442\pi\) |
−0.993421 | + | 0.114519i | \(0.963467\pi\) | |||||||
\(270\) | 1.21498 | − | 1.20181i | 0.0739415 | − | 0.0731398i | ||||
\(271\) | 1.99805 | − | 1.28407i | 0.121373 | − | 0.0780015i | −0.478546 | − | 0.878063i | \(-0.658836\pi\) |
0.599919 | + | 0.800061i | \(0.295200\pi\) | |||||||
\(272\) | −5.80355 | + | 5.02880i | −0.351892 | + | 0.304916i | ||||
\(273\) | 0.0377427 | − | 0.128540i | 0.00228429 | − | 0.00777959i | ||||
\(274\) | −0.336185 | + | 0.736142i | −0.0203097 | + | 0.0444720i | ||||
\(275\) | 24.6295 | + | 3.81566i | 1.48522 | + | 0.230093i | ||||
\(276\) | 0.356526 | + | 0.498102i | 0.0214604 | + | 0.0299822i | ||||
\(277\) | − | 9.82954i | − | 0.590600i | −0.955405 | − | 0.295300i | \(-0.904580\pi\) | ||
0.955405 | − | 0.295300i | \(-0.0954196\pi\) | |||||||
\(278\) | −13.6319 | − | 6.22546i | −0.817585 | − | 0.373379i | ||||
\(279\) | 9.51499 | + | 2.79385i | 0.569647 | + | 0.167264i | ||||
\(280\) | −0.373533 | − | 0.504692i | −0.0223228 | − | 0.0301611i | ||||
\(281\) | 14.1872 | − | 9.11754i | 0.846336 | − | 0.543907i | −0.0440942 | − | 0.999027i | \(-0.514040\pi\) |
0.890430 | + | 0.455120i | \(0.150404\pi\) | |||||||
\(282\) | 0.577849 | + | 0.500709i | 0.0344104 | + | 0.0298168i | ||||
\(283\) | −3.63199 | − | 0.522201i | −0.215899 | − | 0.0310416i | 0.0335164 | − | 0.999438i | \(-0.489329\pi\) |
−0.249416 | + | 0.968397i | \(0.580238\pi\) | |||||||
\(284\) | −3.63060 | + | 1.06604i | −0.215436 | + | 0.0632578i | ||||
\(285\) | 0.719793 | − | 0.950687i | 0.0426369 | − | 0.0563138i | ||||
\(286\) | 2.64978 | + | 18.4296i | 0.156685 | + | 1.08977i | ||||
\(287\) | −0.410251 | + | 0.187355i | −0.0242163 | + | 0.0110592i | ||||
\(288\) | 2.71406 | − | 1.23947i | 0.159927 | − | 0.0730364i | ||||
\(289\) | 5.97296 | + | 41.5429i | 0.351351 | + | 2.44370i | ||||
\(290\) | −3.16486 | + | 4.18007i | −0.185847 | + | 0.245462i | ||||
\(291\) | 0.559020 | − | 0.164143i | 0.0327703 | − | 0.00962224i | ||||
\(292\) | −10.0862 | − | 1.45018i | −0.590252 | − | 0.0848654i | ||||
\(293\) | 12.8772 | + | 11.1581i | 0.752293 | + | 0.651866i | 0.944134 | − | 0.329560i | \(-0.106901\pi\) |
−0.191842 | + | 0.981426i | \(0.561446\pi\) | |||||||
\(294\) | 0.743673 | − | 0.477930i | 0.0433719 | − | 0.0278734i | ||||
\(295\) | 13.6539 | + | 18.4482i | 0.794961 | + | 1.07410i | ||||
\(296\) | 8.09270 | + | 2.37623i | 0.470379 | + | 0.138116i | ||||
\(297\) | 3.46536 | + | 1.58258i | 0.201080 | + | 0.0918303i | ||||
\(298\) | − | 10.9090i | − | 0.631943i | ||||||
\(299\) | −5.90020 | − | 16.9142i | −0.341217 | − | 0.978176i | ||||
\(300\) | 0.0977710 | − | 0.631098i | 0.00564481 | − | 0.0364365i | ||||
\(301\) | −0.946614 | + | 2.07279i | −0.0545619 | + | 0.119474i | ||||
\(302\) | −3.94994 | + | 13.4523i | −0.227294 | + | 0.774091i | ||||
\(303\) | 0.185796 | − | 0.160993i | 0.0106737 | − | 0.00924882i | ||||
\(304\) | 3.51237 | − | 2.25727i | 0.201448 | − | 0.129463i | ||||
\(305\) | −17.2460 | + | 17.0591i | −0.987505 | + | 0.976799i | ||||
\(306\) | 3.26076 | − | 22.6791i | 0.186405 | − | 1.29648i | ||||
\(307\) | −0.588388 | − | 2.00387i | −0.0335811 | − | 0.114367i | 0.940997 | − | 0.338415i | \(-0.109891\pi\) |
−0.974578 | + | 0.224048i | \(0.928073\pi\) | |||||||
\(308\) | 0.756730 | − | 1.17749i | 0.0431187 | − | 0.0670940i | ||||
\(309\) | −0.275072 | − | 1.91317i | −0.0156483 | − | 0.108836i | ||||
\(310\) | 6.97734 | − | 2.55918i | 0.396286 | − | 0.145352i | ||||
\(311\) | −5.77456 | − | 12.6445i | −0.327445 | − | 0.717005i | 0.672284 | − | 0.740294i | \(-0.265313\pi\) |
−0.999729 | + | 0.0232890i | \(0.992586\pi\) | |||||||
\(312\) | 0.472234 | − | 0.0678970i | 0.0267350 | − | 0.00384391i | ||||
\(313\) | 5.59660 | − | 8.70847i | 0.316338 | − | 0.492232i | −0.646277 | − | 0.763103i | \(-0.723675\pi\) |
0.962616 | + | 0.270870i | \(0.0873115\pi\) | |||||||
\(314\) | −3.02358 | + | 0.887804i | −0.170631 | + | 0.0501017i | ||||
\(315\) | 1.82840 | + | 0.408194i | 0.103019 | + | 0.0229991i | ||||
\(316\) | −3.16208 | + | 3.64924i | −0.177881 | + | 0.205286i | ||||
\(317\) | −0.919290 | − | 1.43044i | −0.0516325 | − | 0.0803417i | 0.814478 | − | 0.580195i | \(-0.197024\pi\) |
−0.866110 | + | 0.499853i | \(0.833387\pi\) | |||||||
\(318\) | 1.02935 | − | 0.891936i | 0.0577230 | − | 0.0500173i | ||||
\(319\) | −11.2144 | − | 3.29284i | −0.627885 | − | 0.184364i | ||||
\(320\) | 1.08231 | − | 1.95668i | 0.0605032 | − | 0.109382i | ||||
\(321\) | 0.908259 | 0.0506941 | ||||||||
\(322\) | −0.497461 | + | 1.25141i | −0.0277224 | + | 0.0697386i | ||||
\(323\) | − | 32.0619i | − | 1.78397i | ||||||
\(324\) | −3.67785 | + | 8.05337i | −0.204325 | + | 0.447410i | ||||
\(325\) | −7.94318 | + | 16.9031i | −0.440609 | + | 0.937615i | ||||
\(326\) | 7.52203 | + | 8.68088i | 0.416607 | + | 0.480790i | ||||
\(327\) | −0.734488 | − | 1.14289i | −0.0406173 | − | 0.0632017i | ||||
\(328\) | −1.21385 | − | 1.05181i | −0.0670238 | − | 0.0580764i | ||||
\(329\) | −0.239224 | + | 1.66384i | −0.0131889 | + | 0.0917306i | ||||
\(330\) | 1.39273 | − | 0.295029i | 0.0766672 | − | 0.0162408i | ||||
\(331\) | −1.82523 | − | 1.17300i | −0.100324 | − | 0.0644741i | 0.489517 | − | 0.871994i | \(-0.337173\pi\) |
−0.589841 | + | 0.807520i | \(0.700809\pi\) | |||||||
\(332\) | 12.5168 | − | 1.79965i | 0.686950 | − | 0.0987685i | ||||
\(333\) | −22.8913 | + | 10.4541i | −1.25444 | + | 0.572882i | ||||
\(334\) | 5.72228 | + | 12.5300i | 0.313109 | + | 0.685613i | ||||
\(335\) | −20.3661 | + | 1.34509i | −1.11272 | + | 0.0734900i | ||||
\(336\) | −0.0301717 | − | 0.0193902i | −0.00164600 | − | 0.00105782i | ||||
\(337\) | −4.43691 | − | 15.1107i | −0.241694 | − | 0.823134i | −0.987588 | − | 0.157069i | \(-0.949795\pi\) |
0.745894 | − | 0.666065i | \(-0.232023\pi\) | |||||||
\(338\) | −0.942648 | − | 0.135532i | −0.0512733 | − | 0.00737199i | ||||
\(339\) | 1.03991 | − | 1.20012i | 0.0564804 | − | 0.0651818i | ||||
\(340\) | −8.14702 | − | 15.1154i | −0.441834 | − | 0.819750i | ||||
\(341\) | 10.8492 | + | 12.5207i | 0.587518 | + | 0.678032i | ||||
\(342\) | −3.50965 | + | 11.9528i | −0.189780 | + | 0.646332i | ||||
\(343\) | 3.55579 | + | 1.62388i | 0.191995 | + | 0.0876811i | ||||
\(344\) | −8.11512 | −0.437538 | ||||||||
\(345\) | −1.26073 | + | 0.535382i | −0.0678756 | + | 0.0288240i | ||||
\(346\) | −5.77094 | −0.310248 | ||||||||
\(347\) | −7.23170 | − | 3.30261i | −0.388218 | − | 0.177293i | 0.211738 | − | 0.977327i | \(-0.432088\pi\) |
−0.599956 | + | 0.800033i | \(0.704815\pi\) | |||||||
\(348\) | −0.0843745 | + | 0.287353i | −0.00452295 | + | 0.0154037i | ||||
\(349\) | 8.39969 | + | 9.69375i | 0.449625 | + | 0.518895i | 0.934632 | − | 0.355615i | \(-0.115729\pi\) |
−0.485008 | + | 0.874510i | \(0.661183\pi\) | |||||||
\(350\) | 1.28340 | − | 0.569285i | 0.0686006 | − | 0.0304296i | ||||
\(351\) | −1.86947 | + | 2.15748i | −0.0997849 | + | 0.115158i | ||||
\(352\) | 4.93393 | + | 0.709393i | 0.262980 | + | 0.0378108i | ||||
\(353\) | 2.41739 | + | 8.23286i | 0.128665 | + | 0.438191i | 0.998476 | − | 0.0551937i | \(-0.0175776\pi\) |
−0.869811 | + | 0.493385i | \(0.835759\pi\) | |||||||
\(354\) | 1.10288 | + | 0.708777i | 0.0586174 | + | 0.0376711i | ||||
\(355\) | −0.557594 | − | 8.44260i | −0.0295940 | − | 0.448087i | ||||
\(356\) | −2.32323 | − | 5.08716i | −0.123131 | − | 0.269619i | ||||
\(357\) | −0.250527 | + | 0.114412i | −0.0132593 | + | 0.00605531i | ||||
\(358\) | 7.21573 | − | 1.03747i | 0.381363 | − | 0.0548318i | ||||
\(359\) | 23.6966 | + | 15.2289i | 1.25066 | + | 0.803749i | 0.986977 | − | 0.160861i | \(-0.0514271\pi\) |
0.263681 | + | 0.964610i | \(0.415063\pi\) | |||||||
\(360\) | 1.38262 | + | 6.52689i | 0.0728707 | + | 0.343997i | ||||
\(361\) | 0.223148 | − | 1.55203i | 0.0117447 | − | 0.0816858i | ||||
\(362\) | 5.09693 | + | 4.41652i | 0.267889 | + | 0.232127i | ||||
\(363\) | 0.956180 | + | 1.48785i | 0.0501864 | + | 0.0780916i | ||||
\(364\) | 0.686860 | + | 0.792678i | 0.0360012 | + | 0.0415476i | ||||
\(365\) | 8.07893 | − | 21.3051i | 0.422870 | − | 1.11516i | ||||
\(366\) | −0.575605 | + | 1.26040i | −0.0300873 | + | 0.0658821i | ||||
\(367\) | 7.72825i | 0.403411i | 0.979446 | + | 0.201706i | \(0.0646484\pi\) | ||||
−0.979446 | + | 0.201706i | \(0.935352\pi\) | |||||||
\(368\) | −4.78983 | + | 0.239849i | −0.249687 | + | 0.0125030i | ||||
\(369\) | 4.79227 | 0.249476 | ||||||||
\(370\) | −9.12862 | + | 16.5033i | −0.474574 | + | 0.857967i | ||||
\(371\) | 2.87306 | + | 0.843607i | 0.149162 | + | 0.0437979i | ||||
\(372\) | 0.320825 | − | 0.277996i | 0.0166340 | − | 0.0144134i | ||||
\(373\) | −10.5439 | − | 16.4067i | −0.545944 | − | 0.849505i | 0.453177 | − | 0.891420i | \(-0.350290\pi\) |
−0.999121 | + | 0.0419151i | \(0.986654\pi\) | |||||||
\(374\) | 25.0669 | − | 28.9288i | 1.29618 | − | 1.49587i | ||||
\(375\) | 1.32964 | + | 0.520848i | 0.0686622 | + | 0.0268965i | ||||
\(376\) | −5.74383 | + | 1.68654i | −0.296215 | + | 0.0869767i | ||||
\(377\) | 4.73511 | − | 7.36797i | 0.243870 | − | 0.379470i | ||||
\(378\) | 0.212421 | − | 0.0305416i | 0.0109258 | − | 0.00157089i | ||||
\(379\) | 10.7155 | + | 23.4636i | 0.550417 | + | 1.20525i | 0.956587 | + | 0.291448i | \(0.0941371\pi\) |
−0.406169 | + | 0.913798i | \(0.633136\pi\) | |||||||
\(380\) | 3.21486 | + | 8.76497i | 0.164919 | + | 0.449634i | ||||
\(381\) | −0.327775 | − | 2.27972i | −0.0167924 | − | 0.116794i | ||||
\(382\) | 4.84201 | − | 7.53432i | 0.247739 | − | 0.385489i | ||||
\(383\) | 6.97756 | + | 23.7634i | 0.356537 | + | 1.21425i | 0.921252 | + | 0.388966i | \(0.127168\pi\) |
−0.564715 | + | 0.825286i | \(0.691014\pi\) | |||||||
\(384\) | 0.0181772 | − | 0.126425i | 0.000927602 | − | 0.00645161i | ||||
\(385\) | 2.20101 | + | 2.22513i | 0.112174 | + | 0.113403i | ||||
\(386\) | −2.14990 | + | 1.38166i | −0.109427 | + | 0.0703246i | ||||
\(387\) | 18.2990 | − | 15.8561i | 0.930188 | − | 0.806012i | ||||
\(388\) | −1.28513 | + | 4.37674i | −0.0652424 | + | 0.222195i | ||||
\(389\) | 15.0325 | − | 32.9167i | 0.762180 | − | 1.66894i | 0.0190271 | − | 0.999819i | \(-0.493943\pi\) |
0.743153 | − | 0.669122i | \(-0.233330\pi\) | |||||||
\(390\) | −0.0819035 | + | 1.06366i | −0.00414734 | + | 0.0538604i | ||||
\(391\) | −18.3364 | + | 31.9388i | −0.927312 | + | 1.61521i | ||||
\(392\) | 6.92115i | 0.349571i | ||||||||
\(393\) | 0.195181 | + | 0.0891361i | 0.00984557 | + | 0.00449632i | ||||
\(394\) | −6.30991 | − | 1.85276i | −0.317889 | − | 0.0933405i | ||||
\(395\) | −6.42329 | − | 8.67870i | −0.323191 | − | 0.436673i | ||||
\(396\) | −12.5117 | + | 8.04079i | −0.628737 | + | 0.404065i | ||||
\(397\) | −3.78090 | − | 3.27617i | −0.189758 | − | 0.164426i | 0.554801 | − | 0.831983i | \(-0.312795\pi\) |
−0.744559 | + | 0.667557i | \(0.767340\pi\) | |||||||
\(398\) | −8.82895 | − | 1.26941i | −0.442555 | − | 0.0636298i | ||||
\(399\) | 0.143677 | − | 0.0421874i | 0.00719286 | − | 0.00211201i | ||||
\(400\) | 3.74283 | + | 3.31530i | 0.187142 | + | 0.165765i | ||||
\(401\) | 0.918153 | + | 6.38589i | 0.0458504 | + | 0.318896i | 0.999820 | + | 0.0189919i | \(0.00604568\pi\) |
−0.953969 | + | 0.299904i | \(0.903045\pi\) | |||||||
\(402\) | −1.06050 | + | 0.484315i | −0.0528930 | + | 0.0241554i | ||||
\(403\) | −11.2928 | + | 5.15726i | −0.562536 | + | 0.256901i | ||||
\(404\) | 0.273925 | + | 1.90519i | 0.0136283 | + | 0.0947868i | ||||
\(405\) | −15.7833 | − | 11.9500i | −0.784280 | − | 0.593802i | ||||
\(406\) | −0.631734 | + | 0.185494i | −0.0313525 | + | 0.00920591i | ||||
\(407\) | −41.6145 | − | 5.98327i | −2.06276 | − | 0.296580i | ||||
\(408\) | −0.741260 | − | 0.642306i | −0.0366978 | − | 0.0317989i | ||||
\(409\) | −10.3948 | + | 6.68035i | −0.513991 | + | 0.330322i | −0.771791 | − | 0.635876i | \(-0.780639\pi\) |
0.257800 | + | 0.966198i | \(0.417003\pi\) | |||||||
\(410\) | 2.88681 | − | 2.13659i | 0.142570 | − | 0.105519i | ||||
\(411\) | −0.0991778 | − | 0.0291212i | −0.00489208 | − | 0.00143644i | ||||
\(412\) | 13.7653 | + | 6.28640i | 0.678167 | + | 0.309709i | ||||
\(413\) | 2.88217i | 0.141822i | ||||||||
\(414\) | 10.3320 | − | 9.89969i | 0.507792 | − | 0.486543i | ||||
\(415\) | −2.17090 | + | 28.1928i | −0.106565 | + | 1.38393i | ||||
\(416\) | −1.55169 | + | 3.39773i | −0.0760780 | + | 0.166588i | ||||
\(417\) | 0.539267 | − | 1.83657i | 0.0264080 | − | 0.0899374i | ||||
\(418\) | −15.7285 | + | 13.6288i | −0.769307 | + | 0.666609i | ||||
\(419\) | −14.1760 | + | 9.11038i | −0.692544 | + | 0.445071i | −0.838989 | − | 0.544148i | \(-0.816853\pi\) |
0.146445 | + | 0.989219i | \(0.453217\pi\) | |||||||
\(420\) | 0.0570160 | − | 0.0563978i | 0.00278210 | − | 0.00275193i | ||||
\(421\) | −2.79809 | + | 19.4611i | −0.136371 | + | 0.948478i | 0.800632 | + | 0.599156i | \(0.204497\pi\) |
−0.937003 | + | 0.349322i | \(0.886412\pi\) | |||||||
\(422\) | 3.88142 | + | 13.2189i | 0.188945 | + | 0.643486i | ||||
\(423\) | 9.65654 | − | 15.0259i | 0.469517 | − | 0.730583i | ||||
\(424\) | 1.51760 | + | 10.5552i | 0.0737012 | + | 0.512603i | ||||
\(425\) | 36.9564 | − | 10.4152i | 1.79265 | − | 0.505211i | ||||
\(426\) | −0.200768 | − | 0.439621i | −0.00972726 | − | 0.0212997i | ||||
\(427\) | −3.01521 | + | 0.433522i | −0.145916 | + | 0.0209796i | ||||
\(428\) | −3.84451 | + | 5.98218i | −0.185832 | + | 0.289160i | ||||
\(429\) | −2.28181 | + | 0.669999i | −0.110167 | + | 0.0323478i | ||||
\(430\) | 3.95379 | − | 17.7100i | 0.190668 | − | 0.854052i | ||||
\(431\) | 16.5280 | − | 19.0744i | 0.796127 | − | 0.918780i | −0.202035 | − | 0.979378i | \(-0.564756\pi\) |
0.998162 | + | 0.0605987i | \(0.0193010\pi\) | |||||||
\(432\) | 0.413195 | + | 0.642943i | 0.0198798 | + | 0.0309336i | ||||
\(433\) | 15.8328 | − | 13.7192i | 0.760877 | − | 0.659304i | −0.185399 | − | 0.982663i | \(-0.559358\pi\) |
0.946276 | + | 0.323360i | \(0.104812\pi\) | |||||||
\(434\) | 0.895469 | + | 0.262933i | 0.0429839 | + | 0.0126212i | ||||
\(435\) | −0.585995 | − | 0.324136i | −0.0280963 | − | 0.0155411i | ||||
\(436\) | 10.6365 | 0.509396 | ||||||||
\(437\) | 12.3393 | − | 15.7695i | 0.590269 | − | 0.754358i | ||||
\(438\) | − | 1.30151i | − | 0.0621888i | ||||||
\(439\) | 2.96603 | − | 6.49469i | 0.141561 | − | 0.309975i | −0.825551 | − | 0.564328i | \(-0.809135\pi\) |
0.967111 | + | 0.254353i | \(0.0818626\pi\) | |||||||
\(440\) | −3.95201 | + | 10.4219i | −0.188405 | + | 0.496845i | ||||
\(441\) | −13.5232 | − | 15.6066i | −0.643963 | − | 0.743173i | ||||
\(442\) | 15.5077 | + | 24.1305i | 0.737627 | + | 1.14777i | ||||
\(443\) | 26.6438 | + | 23.0870i | 1.26588 | + | 1.09689i | 0.990780 | + | 0.135479i | \(0.0432575\pi\) |
0.275103 | + | 0.961415i | \(0.411288\pi\) | |||||||
\(444\) | −0.153313 | + | 1.06632i | −0.00727591 | + | 0.0506051i | ||||
\(445\) | 12.2338 | − | 2.59156i | 0.579939 | − | 0.122852i | ||||
\(446\) | −0.290576 | − | 0.186742i | −0.0137591 | − | 0.00884247i | ||||
\(447\) | 1.37918 | − | 0.198296i | 0.0652329 | − | 0.00937907i | ||||
\(448\) | 0.255424 | − | 0.116648i | 0.0120676 | − | 0.00551110i | ||||
\(449\) | −14.0161 | − | 30.6909i | −0.661460 | − | 1.44839i | −0.881156 | − | 0.472826i | \(-0.843234\pi\) |
0.219696 | − | 0.975568i | \(-0.429493\pi\) | |||||||
\(450\) | −14.9175 | − | 0.162615i | −0.703220 | − | 0.00766575i | ||||
\(451\) | 6.73521 | + | 4.32846i | 0.317149 | + | 0.203819i | ||||
\(452\) | 3.50274 | + | 11.9292i | 0.164755 | + | 0.561105i | ||||
\(453\) | −1.77251 | − | 0.254848i | −0.0832796 | − | 0.0119738i | ||||
\(454\) | −5.08816 | + | 5.87205i | −0.238799 | + | 0.275589i | ||||
\(455\) | −2.06454 | + | 1.11276i | −0.0967873 | + | 0.0521671i | ||||
\(456\) | 0.349220 | + | 0.403022i | 0.0163537 | + | 0.0188732i | ||||
\(457\) | 1.02884 | − | 3.50389i | 0.0481269 | − | 0.163905i | −0.931923 | − | 0.362656i | \(-0.881870\pi\) |
0.980050 | + | 0.198750i | \(0.0636883\pi\) | |||||||
\(458\) | 6.49499 | + | 2.96616i | 0.303491 | + | 0.138600i | ||||
\(459\) | 5.86897 | 0.273940 | ||||||||
\(460\) | 1.81023 | − | 10.5699i | 0.0844023 | − | 0.492825i | ||||
\(461\) | 28.5065 | 1.32768 | 0.663839 | − | 0.747875i | \(-0.268926\pi\) | ||||
0.663839 | + | 0.747875i | \(0.268926\pi\) | |||||||
\(462\) | 0.162620 | + | 0.0742662i | 0.00756578 | + | 0.00345518i | ||||
\(463\) | 8.58203 | − | 29.2277i | 0.398841 | − | 1.35833i | −0.478344 | − | 0.878173i | \(-0.658763\pi\) |
0.877184 | − | 0.480154i | \(-0.159419\pi\) | |||||||
\(464\) | −1.53549 | − | 1.77205i | −0.0712832 | − | 0.0822652i | ||||
\(465\) | 0.450374 | + | 0.835594i | 0.0208856 | + | 0.0387497i | ||||
\(466\) | 5.86089 | − | 6.76383i | 0.271501 | − | 0.313328i | ||||
\(467\) | −35.9205 | − | 5.16459i | −1.66220 | − | 0.238989i | −0.753805 | − | 0.657098i | \(-0.771784\pi\) |
−0.908397 | + | 0.418109i | \(0.862693\pi\) | |||||||
\(468\) | −3.13988 | − | 10.6935i | −0.145141 | − | 0.494306i | ||||
\(469\) | −2.15621 | − | 1.38571i | −0.0995645 | − | 0.0639862i | ||||
\(470\) | −0.882149 | − | 13.3567i | −0.0406905 | − | 0.616099i | ||||
\(471\) | −0.167201 | − | 0.366120i | −0.00770422 | − | 0.0168699i | ||||
\(472\) | −9.33662 | + | 4.26389i | −0.429753 | + | 0.196262i | ||||
\(473\) | 40.0395 | − | 5.75681i | 1.84102 | − | 0.264698i | ||||
\(474\) | −0.518834 | − | 0.333434i | −0.0238308 | − | 0.0153151i | ||||
\(475\) | −20.6945 | + | 2.74553i | −0.949529 | + | 0.125973i | ||||
\(476\) | 0.306875 | − | 2.13436i | 0.0140656 | − | 0.0978283i | ||||
\(477\) | −24.0458 | − | 20.8358i | −1.10098 | − | 0.954005i | ||||
\(478\) | 10.3596 | + | 16.1199i | 0.473837 | + | 0.737305i | ||||
\(479\) | −16.1276 | − | 18.6122i | −0.736889 | − | 0.850415i | 0.256340 | − | 0.966587i | \(-0.417483\pi\) |
−0.993229 | + | 0.116172i | \(0.962938\pi\) | |||||||
\(480\) | 0.267047 | + | 0.101265i | 0.0121890 | + | 0.00462209i | ||||
\(481\) | 13.0875 | − | 28.6577i | 0.596740 | − | 1.30668i | ||||
\(482\) | 15.5574i | 0.708618i | ||||||||
\(483\) | −0.167253 | − | 0.0401445i | −0.00761027 | − | 0.00182664i | ||||
\(484\) | −13.8469 | −0.629406 | ||||||||
\(485\) | −8.92542 | − | 4.93699i | −0.405282 | − | 0.224177i | ||||
\(486\) | −3.28493 | − | 0.964543i | −0.149008 | − | 0.0437526i | ||||
\(487\) | −23.0853 | + | 20.0035i | −1.04610 | + | 0.906447i | −0.995733 | − | 0.0922838i | \(-0.970583\pi\) |
−0.0503631 | + | 0.998731i | \(0.516038\pi\) | |||||||
\(488\) | −5.86508 | − | 9.12624i | −0.265500 | − | 0.413126i | ||||
\(489\) | −0.960754 | + | 1.10877i | −0.0434468 | + | 0.0501403i | ||||
\(490\) | −15.1043 | − | 3.37207i | −0.682344 | − | 0.152334i | ||||
\(491\) | −1.21049 | + | 0.355433i | −0.0546289 | + | 0.0160405i | −0.308933 | − | 0.951084i | \(-0.599972\pi\) |
0.254304 | + | 0.967124i | \(0.418154\pi\) | |||||||
\(492\) | 0.110911 | − | 0.172581i | 0.00500024 | − | 0.00778053i | ||||
\(493\) | −17.8226 | + | 2.56250i | −0.802687 | + | 0.115409i | ||||
\(494\) | −6.47857 | − | 14.1861i | −0.291485 | − | 0.638263i | ||||
\(495\) | −11.4519 | − | 31.2224i | −0.514725 | − | 1.40334i | ||||
\(496\) | 0.473003 | + | 3.28980i | 0.0212384 | + | 0.147717i | ||||
\(497\) | 0.574434 | − | 0.893837i | 0.0257669 | − | 0.0400941i | ||||
\(498\) | 0.455042 | + | 1.54973i | 0.0203909 | + | 0.0694451i | ||||
\(499\) | 0.500048 | − | 3.47791i | 0.0223852 | − | 0.155693i | −0.975563 | − | 0.219720i | \(-0.929486\pi\) |
0.997948 | + | 0.0640277i | \(0.0203946\pi\) | |||||||
\(500\) | −9.05867 | + | 6.55289i | −0.405116 | + | 0.293054i | ||||
\(501\) | −1.48010 | + | 0.951201i | −0.0661259 | + | 0.0424965i | ||||
\(502\) | 15.3606 | − | 13.3100i | 0.685577 | − | 0.594056i | ||||
\(503\) | −2.11631 | + | 7.20748i | −0.0943615 | + | 0.321366i | −0.993124 | − | 0.117071i | \(-0.962649\pi\) |
0.898762 | + | 0.438437i | \(0.144468\pi\) | |||||||
\(504\) | −0.348041 | + | 0.762104i | −0.0155030 | + | 0.0339468i | ||||
\(505\) | −4.29124 | − | 0.330433i | −0.190958 | − | 0.0147041i | ||||
\(506\) | 23.4626 | − | 4.58127i | 1.04304 | − | 0.203662i | ||||
\(507\) | − | 0.121638i | − | 0.00540214i | ||||||
\(508\) | 16.4027 | + | 7.49084i | 0.727750 | + | 0.332352i | ||||
\(509\) | −32.3869 | − | 9.50966i | −1.43552 | − | 0.421508i | −0.530797 | − | 0.847499i | \(-0.678107\pi\) |
−0.904727 | + | 0.425991i | \(0.859926\pi\) | |||||||
\(510\) | 1.76288 | − | 1.30475i | 0.0780618 | − | 0.0577751i | ||||
\(511\) | 2.40710 | − | 1.54695i | 0.106484 | − | 0.0684330i | ||||
\(512\) | 0.755750 | + | 0.654861i | 0.0333997 | + | 0.0289410i | ||||
\(513\) | −3.15847 | − | 0.454119i | −0.139450 | − | 0.0200498i | ||||
\(514\) | −14.7235 | + | 4.32322i | −0.649427 | + | 0.190689i | ||||
\(515\) | −20.4257 | + | 26.9778i | −0.900064 | + | 1.18878i | ||||
\(516\) | −0.147510 | − | 1.02596i | −0.00649378 | − | 0.0451652i | ||||
\(517\) | 27.1432 | − | 12.3959i | 1.19376 | − | 0.545171i | ||||
\(518\) | −2.15433 | + | 0.983851i | −0.0946560 | + | 0.0432279i | ||||
\(519\) | −0.104900 | − | 0.729593i | −0.00460458 | − | 0.0320256i | ||||
\(520\) | −6.65902 | − | 5.04174i | −0.292017 | − | 0.221095i | ||||
\(521\) | −35.8966 | + | 10.5402i | −1.57266 | + | 0.461774i | −0.947774 | − | 0.318944i | \(-0.896672\pi\) |
−0.624884 | + | 0.780718i | \(0.714854\pi\) | |||||||
\(522\) | 6.92480 | + | 0.995636i | 0.303090 | + | 0.0435778i | ||||
\(523\) | 16.7895 | + | 14.5482i | 0.734156 | + | 0.636150i | 0.939503 | − | 0.342540i | \(-0.111287\pi\) |
−0.205348 | + | 0.978689i | \(0.565833\pi\) | |||||||
\(524\) | −1.41326 | + | 0.908245i | −0.0617384 | + | 0.0396769i | ||||
\(525\) | 0.0953006 | + | 0.151906i | 0.00415926 | + | 0.00662973i | ||||
\(526\) | 14.3059 | + | 4.20059i | 0.623767 | + | 0.183155i | ||||
\(527\) | 23.2164 | + | 10.6026i | 1.01132 | + | 0.461855i | ||||
\(528\) | 0.636669i | 0.0277074i | ||||||||
\(529\) | −21.3106 | + | 8.65204i | −0.926548 | + | 0.376176i | ||||
\(530\) | −23.7744 | − | 1.83067i | −1.03269 | − | 0.0795191i | ||||
\(531\) | 12.7221 | − | 27.8575i | 0.552093 | − | 1.20891i | ||||
\(532\) | −0.330298 | + | 1.12489i | −0.0143202 | + | 0.0487703i | ||||
\(533\) | −4.53408 | + | 3.92881i | −0.196393 | + | 0.170175i | ||||
\(534\) | 0.600916 | − | 0.386185i | 0.0260042 | − | 0.0167119i | ||||
\(535\) | −11.1821 | − | 11.3046i | −0.483444 | − | 0.488742i | ||||
\(536\) | 1.29903 | − | 9.03495i | 0.0561095 | − | 0.390250i | ||||
\(537\) | 0.262324 | + | 0.893392i | 0.0113201 | + | 0.0385527i | ||||
\(538\) | 4.51751 | − | 7.02938i | 0.194763 | − | 0.303058i | ||||
\(539\) | −4.90981 | − | 34.1485i | −0.211481 | − | 1.47088i | ||||
\(540\) | −1.60444 | + | 0.588483i | −0.0690440 | + | 0.0253243i | ||||
\(541\) | 7.77132 | + | 17.0168i | 0.334115 | + | 0.731610i | 0.999894 | − | 0.0145386i | \(-0.00462794\pi\) |
−0.665779 | + | 0.746149i | \(0.731901\pi\) | |||||||
\(542\) | −2.35091 | + | 0.338010i | −0.100980 | + | 0.0145188i | ||||
\(543\) | −0.465711 | + | 0.724661i | −0.0199856 | + | 0.0310982i | ||||
\(544\) | 7.36814 | − | 2.16348i | 0.315906 | − | 0.0927584i | ||||
\(545\) | −5.18223 | + | 23.2125i | −0.221982 | + | 0.994315i | ||||
\(546\) | −0.0877294 | + | 0.101245i | −0.00375447 | + | 0.00433289i | ||||
\(547\) | −10.4448 | − | 16.2524i | −0.446587 | − | 0.694903i | 0.542856 | − | 0.839826i | \(-0.317343\pi\) |
−0.989443 | + | 0.144923i | \(0.953707\pi\) | |||||||
\(548\) | 0.611609 | − | 0.529962i | 0.0261266 | − | 0.0226389i | ||||
\(549\) | 31.0570 | + | 9.11917i | 1.32548 | + | 0.389197i | ||||
\(550\) | −20.8187 | − | 13.7023i | −0.887714 | − | 0.584269i | ||||
\(551\) | 9.78974 | 0.417057 | ||||||||
\(552\) | −0.117389 | − | 0.601196i | −0.00499640 | − | 0.0255886i | ||||
\(553\) | − | 1.35587i | − | 0.0576577i | ||||||
\(554\) | −4.08334 | + | 8.94126i | −0.173484 | + | 0.379878i | ||||
\(555\) | −2.25237 | − | 0.854103i | −0.0956078 | − | 0.0362547i | ||||
\(556\) | 9.81383 | + | 11.3258i | 0.416199 | + | 0.480319i | ||||
\(557\) | 0.377707 | + | 0.587724i | 0.0160040 | + | 0.0249027i | 0.849163 | − | 0.528130i | \(-0.177107\pi\) |
−0.833159 | + | 0.553033i | \(0.813470\pi\) | |||||||
\(558\) | −7.49453 | − | 6.49405i | −0.317269 | − | 0.274915i | ||||
\(559\) | −4.31389 | + | 30.0038i | −0.182458 | + | 1.26902i | ||||
\(560\) | 0.130121 | + | 0.614255i | 0.00549861 | + | 0.0259570i | ||||
\(561\) | 4.11298 | + | 2.64325i | 0.173650 | + | 0.111598i | ||||
\(562\) | −16.6927 | + | 2.40004i | −0.704138 | + | 0.101240i | ||||
\(563\) | −42.9535 | + | 19.6162i | −1.81027 | + | 0.826724i | −0.863886 | + | 0.503687i | \(0.831977\pi\) |
−0.946386 | + | 0.323037i | \(0.895296\pi\) | |||||||
\(564\) | −0.317628 | − | 0.695508i | −0.0133746 | − | 0.0292862i | ||||
\(565\) | −27.7403 | + | 1.83212i | −1.16704 | + | 0.0770778i | ||||
\(566\) | 3.08684 | + | 1.98379i | 0.129750 | + | 0.0833850i | ||||
\(567\) | −0.700398 | − | 2.38534i | −0.0294139 | − | 0.100175i | ||||
\(568\) | 3.74536 | + | 0.538501i | 0.157152 | + | 0.0225950i | ||||
\(569\) | 9.95551 | − | 11.4893i | 0.417357 | − | 0.481655i | −0.507673 | − | 0.861550i | \(-0.669494\pi\) |
0.925030 | + | 0.379894i | \(0.124040\pi\) | |||||||
\(570\) | −1.04968 | + | 0.565762i | −0.0439661 | + | 0.0236972i | ||||
\(571\) | 24.3482 | + | 28.0993i | 1.01894 | + | 1.17592i | 0.984297 | + | 0.176518i | \(0.0564833\pi\) |
0.0346409 | + | 0.999400i | \(0.488971\pi\) | |||||||
\(572\) | 5.24562 | − | 17.8650i | 0.219331 | − | 0.746971i | ||||
\(573\) | 1.04054 | + | 0.475200i | 0.0434693 | + | 0.0198517i | ||||
\(574\) | 0.451007 | 0.0188247 | ||||||||
\(575\) | 22.1852 | + | 9.10033i | 0.925188 | + | 0.379510i | ||||
\(576\) | −2.98369 | −0.124320 | ||||||||
\(577\) | 2.45018 | + | 1.11896i | 0.102002 | + | 0.0465829i | 0.465763 | − | 0.884910i | \(-0.345780\pi\) |
−0.363760 | + | 0.931493i | \(0.618507\pi\) | |||||||
\(578\) | 11.8243 | − | 40.2700i | 0.491827 | − | 1.67501i | ||||
\(579\) | −0.213756 | − | 0.246687i | −0.00888339 | − | 0.0102520i | ||||
\(580\) | 4.61532 | − | 2.48760i | 0.191641 | − | 0.103292i | ||||
\(581\) | −2.32531 | + | 2.68356i | −0.0964703 | + | 0.111333i | ||||
\(582\) | −0.576690 | − | 0.0829155i | −0.0239046 | − | 0.00343696i | ||||
\(583\) | −14.9755 | − | 51.0018i | −0.620221 | − | 2.11228i | ||||
\(584\) | 8.57233 | + | 5.50910i | 0.354726 | + | 0.227968i | ||||
\(585\) | 24.8666 | − | 1.64232i | 1.02811 | − | 0.0679017i | ||||
\(586\) | −7.07824 | − | 15.4992i | −0.292399 | − | 0.640265i | ||||
\(587\) | 2.43392 | − | 1.11153i | 0.100458 | − | 0.0458778i | −0.364552 | − | 0.931183i | \(-0.618778\pi\) |
0.465010 | + | 0.885305i | \(0.346051\pi\) | |||||||
\(588\) | −0.875008 | + | 0.125807i | −0.0360847 | + | 0.00518820i | ||||
\(589\) | −11.6738 | − | 7.50232i | −0.481012 | − | 0.309128i | ||||
\(590\) | −4.75636 | − | 22.4531i | −0.195816 | − | 0.924381i | ||||
\(591\) | 0.119539 | − | 0.831410i | 0.00491716 | − | 0.0341996i | ||||
\(592\) | −6.37426 | − | 5.52333i | −0.261980 | − | 0.227007i | ||||
\(593\) | 6.82295 | + | 10.6167i | 0.280185 | + | 0.435976i | 0.952612 | − | 0.304187i | \(-0.0983847\pi\) |
−0.672428 | + | 0.740163i | \(0.734748\pi\) | |||||||
\(594\) | −2.49477 | − | 2.87912i | −0.102362 | − | 0.118132i | ||||
\(595\) | 4.50840 | + | 1.70959i | 0.184826 | + | 0.0700865i | ||||
\(596\) | −4.53178 | + | 9.92321i | −0.185629 | + | 0.406470i | ||||
\(597\) | − | 1.13928i | − | 0.0466275i | ||||||
\(598\) | −1.65942 | + | 17.8368i | −0.0678588 | + | 0.729400i | ||||
\(599\) | 16.1949 | 0.661704 | 0.330852 | − | 0.943683i | \(-0.392664\pi\) | ||||
0.330852 | + | 0.943683i | \(0.392664\pi\) | |||||||
\(600\) | −0.351103 | + | 0.533451i | −0.0143337 | + | 0.0217781i | ||||
\(601\) | 40.2708 | + | 11.8246i | 1.64268 | + | 0.482334i | 0.966982 | − | 0.254845i | \(-0.0820243\pi\) |
0.675698 | + | 0.737179i | \(0.263843\pi\) | |||||||
\(602\) | 1.72214 | − | 1.49224i | 0.0701892 | − | 0.0608193i | ||||
\(603\) | 14.7242 | + | 22.9112i | 0.599614 | + | 0.933018i | ||||
\(604\) | 9.18127 | − | 10.5957i | 0.373580 | − | 0.431135i | ||||
\(605\) | 6.74640 | − | 30.2188i | 0.274280 | − | 1.22857i | ||||
\(606\) | −0.235885 | + | 0.0692621i | −0.00958218 | + | 0.00281358i | ||||
\(607\) | 0.896532 | − | 1.39503i | 0.0363891 | − | 0.0566225i | −0.822582 | − | 0.568646i | \(-0.807467\pi\) |
0.858972 | + | 0.512023i | \(0.171104\pi\) | |||||||
\(608\) | −4.13267 | + | 0.594188i | −0.167602 | + | 0.0240975i | ||||
\(609\) | −0.0349343 | − | 0.0764954i | −0.00141561 | − | 0.00309975i | ||||
\(610\) | 22.7741 | − | 8.35321i | 0.922098 | − | 0.338211i | ||||
\(611\) | 3.18224 | + | 22.1330i | 0.128740 | + | 0.895405i | ||||
\(612\) | −12.3873 | + | 19.2751i | −0.500728 | + | 0.779148i | ||||
\(613\) | 7.58275 | + | 25.8245i | 0.306264 | + | 1.04304i | 0.958516 | + | 0.285039i | \(0.0920064\pi\) |
−0.652252 | + | 0.758003i | \(0.726175\pi\) | |||||||
\(614\) | −0.297219 | + | 2.06721i | −0.0119948 | + | 0.0834257i | ||||
\(615\) | 0.322593 | + | 0.326129i | 0.0130082 | + | 0.0131508i | ||||
\(616\) | −1.17749 | + | 0.756730i | −0.0474426 | + | 0.0304895i | ||||
\(617\) | −26.1497 | + | 22.6589i | −1.05275 | + | 0.912211i | −0.996278 | − | 0.0861928i | \(-0.972530\pi\) |
−0.0564697 | + | 0.998404i | \(0.517984\pi\) | |||||||
\(618\) | −0.544545 | + | 1.85455i | −0.0219048 | + | 0.0746009i | ||||
\(619\) | −12.1489 | + | 26.6024i | −0.488305 | + | 1.06924i | 0.491791 | + | 0.870713i | \(0.336343\pi\) |
−0.980096 | + | 0.198525i | \(0.936385\pi\) | |||||||
\(620\) | −7.40994 | − | 0.570578i | −0.297590 | − | 0.0229150i | ||||
\(621\) | 2.88663 | + | 2.25872i | 0.115836 | + | 0.0906394i | ||||
\(622\) | 13.9007i | 0.557367i | ||||||||
\(623\) | 1.42847 | + | 0.652360i | 0.0572304 | + | 0.0261362i | ||||
\(624\) | −0.457765 | − | 0.134412i | −0.0183253 | − | 0.00538078i | ||||
\(625\) | −9.88717 | − | 22.9618i | −0.395487 | − | 0.918472i | ||||
\(626\) | −8.70847 | + | 5.59660i | −0.348061 | + | 0.223685i | ||||
\(627\) | −2.00893 | − | 1.74075i | −0.0802290 | − | 0.0695188i | ||||
\(628\) | 3.11916 | + | 0.448467i | 0.124468 | + | 0.0178958i | ||||
\(629\) | −62.1455 | + | 18.2476i | −2.47790 | + | 0.727578i | ||||
\(630\) | −1.49360 | − | 1.13085i | −0.0595066 | − | 0.0450542i | ||||
\(631\) | −2.97986 | − | 20.7254i | −0.118626 | − | 0.825063i | −0.959071 | − | 0.283166i | \(-0.908615\pi\) |
0.840445 | − | 0.541897i | \(-0.182294\pi\) | |||||||
\(632\) | 4.39228 | − | 2.00589i | 0.174715 | − | 0.0797899i | ||||
\(633\) | −1.60065 | + | 0.730993i | −0.0636202 | + | 0.0290544i | ||||
\(634\) | 0.241988 | + | 1.68306i | 0.00961057 | + | 0.0668430i | ||||
\(635\) | −24.3392 | + | 32.1466i | −0.965870 | + | 1.27570i | ||||
\(636\) | −1.30685 | + | 0.383726i | −0.0518200 | + | 0.0152157i | ||||
\(637\) | 25.5893 | + | 3.67919i | 1.01389 | + | 0.145775i | ||||
\(638\) | 8.83307 | + | 7.65390i | 0.349705 | + | 0.303021i | ||||
\(639\) | −9.49765 | + | 6.10377i | −0.375721 | + | 0.241461i | ||||
\(640\) | −1.79734 | + | 1.33025i | −0.0710462 | + | 0.0525827i | ||||
\(641\) | 7.35104 | + | 2.15846i | 0.290349 | + | 0.0852540i | 0.423663 | − | 0.905820i | \(-0.360744\pi\) |
−0.133315 | + | 0.991074i | \(0.542562\pi\) | |||||||
\(642\) | −0.826181 | − | 0.377304i | −0.0326068 | − | 0.0148910i | ||||
\(643\) | − | 39.1290i | − | 1.54310i | −0.636170 | − | 0.771549i | \(-0.719482\pi\) | ||
0.636170 | − | 0.771549i | \(-0.280518\pi\) | |||||||
\(644\) | 0.972363 | − | 0.931673i | 0.0383165 | − | 0.0367131i | ||||
\(645\) | 2.31086 | + | 0.177940i | 0.0909900 | + | 0.00700639i | ||||
\(646\) | −13.3190 | + | 29.1645i | −0.524029 | + | 1.14746i | ||||
\(647\) | 6.68277 | − | 22.7594i | 0.262727 | − | 0.894766i | −0.717445 | − | 0.696616i | \(-0.754688\pi\) |
0.980172 | − | 0.198150i | \(-0.0634935\pi\) | |||||||
\(648\) | 6.69099 | − | 5.79777i | 0.262847 | − | 0.227758i | ||||
\(649\) | 43.0415 | − | 27.6611i | 1.68953 | − | 1.08579i | ||||
\(650\) | 14.2472 | − | 12.0759i | 0.558820 | − | 0.473655i | ||||
\(651\) | −0.0169643 | + | 0.117989i | −0.000664883 | + | 0.00462436i | ||||
\(652\) | −3.23611 | − | 11.0212i | −0.126736 | − | 0.431622i | ||||
\(653\) | −12.9480 | + | 20.1475i | −0.506695 | + | 0.788433i | −0.996517 | − | 0.0833895i | \(-0.973425\pi\) |
0.489822 | + | 0.871823i | \(0.337062\pi\) | |||||||
\(654\) | 0.193342 | + | 1.34472i | 0.00756027 | + | 0.0525828i | ||||
\(655\) | −1.29355 | − | 3.52672i | −0.0505431 | − | 0.137800i | ||||
\(656\) | 0.667222 | + | 1.46101i | 0.0260506 | + | 0.0570429i | ||||
\(657\) | −30.0941 | + | 4.32688i | −1.17408 | + | 0.168808i | ||||
\(658\) | 0.908791 | − | 1.41411i | 0.0354284 | − | 0.0551276i | ||||
\(659\) | 25.4360 | − | 7.46869i | 0.990847 | − | 0.290939i | 0.254152 | − | 0.967164i | \(-0.418204\pi\) |
0.736695 | + | 0.676225i | \(0.236385\pi\) | |||||||
\(660\) | −1.38943 | − | 0.310193i | −0.0540835 | − | 0.0120742i | ||||
\(661\) | −1.73503 | + | 2.00233i | −0.0674849 | + | 0.0778817i | −0.788488 | − | 0.615050i | \(-0.789136\pi\) |
0.721003 | + | 0.692932i | \(0.243681\pi\) | |||||||
\(662\) | 1.17300 | + | 1.82523i | 0.0455901 | + | 0.0709395i | ||||
\(663\) | −2.76882 | + | 2.39919i | −0.107532 | + | 0.0931770i | ||||
\(664\) | −12.1333 | − | 3.56266i | −0.470863 | − | 0.138258i | ||||
\(665\) | −2.29398 | − | 1.26889i | −0.0889566 | − | 0.0492053i | ||||
\(666\) | 25.1655 | 0.975142 | ||||||||
\(667\) | −9.75215 | − | 5.59881i | −0.377605 | − | 0.216787i | ||||
\(668\) | − | 13.7748i | − | 0.532965i | ||||||
\(669\) | 0.0183270 | − | 0.0401305i | 0.000708563 | − | 0.00155154i | ||||
\(670\) | 19.0845 | + | 7.23686i | 0.737297 | + | 0.279584i | ||||
\(671\) | 35.4120 | + | 40.8676i | 1.36707 | + | 1.57768i | ||||
\(672\) | 0.0193902 | + | 0.0301717i | 0.000747991 | + | 0.00116390i | ||||
\(673\) | 18.7465 | + | 16.2439i | 0.722623 | + | 0.626156i | 0.936485 | − | 0.350708i | \(-0.114059\pi\) |
−0.213862 | + | 0.976864i | \(0.568604\pi\) | |||||||
\(674\) | −2.24127 | + | 15.5884i | −0.0863305 | + | 0.600442i | ||||
\(675\) | −0.502571 | − | 3.78815i | −0.0193440 | − | 0.145806i | ||||
\(676\) | 0.801161 | + | 0.514875i | 0.0308139 | + | 0.0198029i | ||||
\(677\) | 14.8204 | − | 2.13086i | 0.569595 | − | 0.0818954i | 0.148501 | − | 0.988912i | \(-0.452555\pi\) |
0.421094 | + | 0.907017i | \(0.361646\pi\) | |||||||
\(678\) | −1.44449 | + | 0.659676i | −0.0554752 | + | 0.0253347i | ||||
\(679\) | −0.532092 | − | 1.16512i | −0.0204198 | − | 0.0447131i | ||||
\(680\) | 1.13161 | + | 17.1339i | 0.0433954 | + | 0.657054i | ||||
\(681\) | −0.834864 | − | 0.536534i | −0.0319920 | − | 0.0205600i | ||||
\(682\) | −4.66753 | − | 15.8961i | −0.178729 | − | 0.608694i | ||||
\(683\) | 21.5081 | + | 3.09240i | 0.822986 | + | 0.118327i | 0.540927 | − | 0.841070i | \(-0.318074\pi\) |
0.282059 | + | 0.959397i | \(0.408983\pi\) | |||||||
\(684\) | 8.15785 | − | 9.41466i | 0.311923 | − | 0.359979i | ||||
\(685\) | 0.858576 | + | 1.59294i | 0.0328045 | + | 0.0608633i | ||||
\(686\) | −2.55988 | − | 2.95426i | −0.0977367 | − | 0.112794i | ||||
\(687\) | −0.256937 | + | 0.875048i | −0.00980277 | + | 0.0333852i | ||||
\(688\) | 7.38178 | + | 3.37114i | 0.281428 | + | 0.128524i | ||||
\(689\) | 39.8319 | 1.51747 | ||||||||
\(690\) | 1.36921 | + | 0.0367271i | 0.0521249 | + | 0.00139818i | ||||
\(691\) | −44.9009 | −1.70811 | −0.854056 | − | 0.520181i | \(-0.825865\pi\) | ||||
−0.854056 | + | 0.520181i | \(0.825865\pi\) | |||||||
\(692\) | 5.24943 | + | 2.39734i | 0.199553 | + | 0.0911330i | ||||
\(693\) | 1.17658 | − | 4.00707i | 0.0446946 | − | 0.152216i | ||||
\(694\) | 5.20623 | + | 6.00831i | 0.197626 | + | 0.228072i | ||||
\(695\) | −29.4981 | + | 15.8991i | −1.11893 | + | 0.603087i | ||||
\(696\) | 0.196121 | − | 0.226335i | 0.00743393 | − | 0.00857922i | ||||
\(697\) | 12.2085 | + | 1.75531i | 0.462428 | + | 0.0664871i | ||||
\(698\) | −3.61369 | − | 12.3071i | −0.136780 | − | 0.465831i | ||||
\(699\) | 0.961654 | + | 0.618017i | 0.0363731 | + | 0.0233756i | ||||
\(700\) | −1.40391 | − | 0.0153039i | −0.0530629 | − | 0.000578435i | ||||
\(701\) | 17.1355 | + | 37.5215i | 0.647198 | + | 1.41717i | 0.893985 | + | 0.448096i | \(0.147898\pi\) |
−0.246788 | + | 0.969070i | \(0.579375\pi\) | |||||||
\(702\) | 2.59678 | − | 1.18591i | 0.0980091 | − | 0.0447593i | ||||
\(703\) | 34.8564 | − | 5.01159i | 1.31463 | − | 0.189016i | ||||
\(704\) | −4.19337 | − | 2.69492i | −0.158044 | − | 0.101568i | ||||
\(705\) | 1.67259 | − | 0.354314i | 0.0629934 | − | 0.0133442i | ||||
\(706\) | 1.22112 | − | 8.49310i | 0.0459576 | − | 0.319642i | ||||
\(707\) | −0.408465 | − | 0.353937i | −0.0153619 | − | 0.0133112i | ||||
\(708\) | −0.708777 | − | 1.10288i | −0.0266375 | − | 0.0414487i | ||||
\(709\) | 15.1105 | + | 17.4385i | 0.567488 | + | 0.654916i | 0.964867 | − | 0.262738i | \(-0.0846256\pi\) |
−0.397379 | + | 0.917655i | \(0.630080\pi\) | |||||||
\(710\) | −2.99998 | + | 7.91129i | −0.112587 | + | 0.296905i | ||||
\(711\) | −5.98494 | + | 13.1052i | −0.224453 | + | 0.491483i | ||||
\(712\) | 5.59255i | 0.209590i | ||||||||
\(713\) | 7.33839 | + | 14.1499i | 0.274825 | + | 0.529916i | ||||
\(714\) | 0.275415 | 0.0103072 | ||||||||
\(715\) | 36.4317 | + | 20.1518i | 1.36247 | + | 0.753633i | ||||
\(716\) | −6.99464 | − | 2.05381i | −0.261402 | − | 0.0767545i | ||||
\(717\) | −1.84965 | + | 1.60273i | −0.0690764 | + | 0.0598550i | ||||
\(718\) | −15.2289 | − | 23.6966i | −0.568336 | − | 0.884349i | ||||
\(719\) | −20.6369 | + | 23.8163i | −0.769628 | + | 0.888198i | −0.996315 | − | 0.0857693i | \(-0.972665\pi\) |
0.226687 | + | 0.973968i | \(0.427211\pi\) | |||||||
\(720\) | 1.45369 | − | 6.51143i | 0.0541757 | − | 0.242667i | ||||
\(721\) | −4.07715 | + | 1.19716i | −0.151841 | + | 0.0445846i | ||||
\(722\) | −0.847720 | + | 1.31908i | −0.0315489 | + | 0.0490910i | ||||
\(723\) | −1.96684 | + | 0.282789i | −0.0731477 | + | 0.0105170i | ||||
\(724\) | −2.80165 | − | 6.13475i | −0.104122 | − | 0.227996i | ||||
\(725\) | 3.18016 | + | 11.2842i | 0.118108 | + | 0.419085i | ||||
\(726\) | −0.251699 | − | 1.75060i | −0.00934142 | − | 0.0649710i | ||||
\(727\) | −5.62176 | + | 8.74764i | −0.208500 | + | 0.324432i | −0.929715 | − | 0.368279i | \(-0.879947\pi\) |
0.721216 | + | 0.692710i | \(0.243584\pi\) | |||||||
\(728\) | −0.295499 | − | 1.00638i | −0.0109519 | − | 0.0372988i | ||||
\(729\) | −3.71770 | + | 25.8571i | −0.137692 | + | 0.957672i | ||||
\(730\) | −16.1993 | + | 16.0237i | −0.599563 | + | 0.593063i | ||||
\(731\) | 52.4249 | − | 33.6915i | 1.93901 | − | 1.24612i | ||||
\(732\) | 1.04718 | − | 0.907384i | 0.0387048 | − | 0.0335379i | ||||
\(733\) | −10.6777 | + | 36.3650i | −0.394391 | + | 1.34317i | 0.488077 | + | 0.872801i | \(0.337699\pi\) |
−0.882468 | + | 0.470373i | \(0.844120\pi\) | |||||||
\(734\) | 3.21043 | − | 7.02986i | 0.118499 | − | 0.259477i | ||||
\(735\) | 0.151760 | − | 1.97086i | 0.00559775 | − | 0.0726964i | ||||
\(736\) | 4.45662 | + | 1.77159i | 0.164273 | + | 0.0653018i | ||||
\(737\) | 45.4993i | 1.67599i | ||||||||
\(738\) | −4.35920 | − | 1.99078i | −0.160464 | − | 0.0732816i | ||||
\(739\) | −46.3361 | − | 13.6055i | −1.70450 | − | 0.500487i | −0.722824 | − | 0.691032i | \(-0.757156\pi\) |
−0.981678 | + | 0.190545i | \(0.938974\pi\) | |||||||
\(740\) | 15.1594 | − | 11.2198i | 0.557271 | − | 0.412448i | ||||
\(741\) | 1.67572 | − | 1.07692i | 0.0615591 | − | 0.0395616i | ||||
\(742\) | −2.26298 | − | 1.96088i | −0.0830767 | − | 0.0719863i | ||||
\(743\) | 14.8177 | + | 2.13047i | 0.543609 | + | 0.0781592i | 0.408649 | − | 0.912692i | \(-0.366000\pi\) |
0.134961 | + | 0.990851i | \(0.456909\pi\) | |||||||
\(744\) | −0.407317 | + | 0.119599i | −0.0149329 | + | 0.00438471i | ||||
\(745\) | −19.4479 | − | 14.7246i | −0.712516 | − | 0.539468i | ||||
\(746\) | 2.77552 | + | 19.3041i | 0.101619 | + | 0.706775i | ||||
\(747\) | 34.3207 | − | 15.6737i | 1.25573 | − | 0.573472i | ||||
\(748\) | −34.8191 | + | 15.9014i | −1.27311 | + | 0.581412i | ||||
\(749\) | −0.284170 | − | 1.97645i | −0.0103833 | − | 0.0722178i | ||||
\(750\) | −0.993113 | − | 1.02613i | −0.0362634 | − | 0.0374690i | ||||
\(751\) | 19.9134 | − | 5.84711i | 0.726651 | − | 0.213364i | 0.102573 | − | 0.994726i | \(-0.467293\pi\) |
0.624079 | + | 0.781361i | \(0.285474\pi\) | |||||||
\(752\) | 5.92538 | + | 0.851942i | 0.216077 | + | 0.0310671i | ||||
\(753\) | 1.96194 | + | 1.70003i | 0.0714970 | + | 0.0619525i | ||||
\(754\) | −7.36797 | + | 4.73511i | −0.268326 | + | 0.172442i | ||||
\(755\) | 18.6503 | + | 25.1991i | 0.678755 | + | 0.917087i | ||||
\(756\) | −0.205913 | − | 0.0604614i | −0.00748897 | − | 0.00219896i | ||||
\(757\) | −20.9559 | − | 9.57022i | −0.761654 | − | 0.347836i | −0.00357061 | − | 0.999994i | \(-0.501137\pi\) |
−0.758083 | + | 0.652158i | \(0.773864\pi\) | |||||||
\(758\) | − | 25.7946i | − | 0.936904i | ||||||
\(759\) | 1.00567 | + | 2.88299i | 0.0365036 | + | 0.104646i | ||||
\(760\) | 0.716763 | − | 9.30840i | 0.0259997 | − | 0.337651i | ||||
\(761\) | −1.72489 | + | 3.77698i | −0.0625271 | + | 0.136915i | −0.938316 | − | 0.345779i | \(-0.887615\pi\) |
0.875789 | + | 0.482695i | \(0.160342\pi\) | |||||||
\(762\) | −0.648877 | + | 2.20987i | −0.0235063 | + | 0.0800552i | ||||
\(763\) | −2.25721 | + | 1.95589i | −0.0817166 | + | 0.0708078i | ||||
\(764\) | −7.53432 | + | 4.84201i | −0.272582 | + | 0.175178i | ||||
\(765\) | −36.0296 | − | 36.4245i | −1.30265 | − | 1.31693i | ||||
\(766\) | 3.52465 | − | 24.5145i | 0.127351 | − | 0.885745i | ||||
\(767\) | 10.8015 | + | 36.7866i | 0.390020 | + | 1.32829i | ||||
\(768\) | −0.0690535 | + | 0.107449i | −0.00249175 | + | 0.00387725i | ||||
\(769\) | 1.75312 | + | 12.1932i | 0.0632190 | + | 0.439698i | 0.996707 | + | 0.0810887i | \(0.0258397\pi\) |
−0.933488 | + | 0.358609i | \(0.883251\pi\) | |||||||
\(770\) | −1.07776 | − | 2.93839i | −0.0388396 | − | 0.105892i | ||||
\(771\) | −0.814197 | − | 1.78284i | −0.0293226 | − | 0.0642075i | ||||
\(772\) | 2.52958 | − | 0.363699i | 0.0910417 | − | 0.0130898i | ||||
\(773\) | 10.6268 | − | 16.5355i | 0.382218 | − | 0.594742i | −0.595833 | − | 0.803108i | \(-0.703178\pi\) |
0.978051 | + | 0.208366i | \(0.0668145\pi\) | |||||||
\(774\) | −23.2322 | + | 6.82159i | −0.835064 | + | 0.245197i | ||||
\(775\) | 4.85541 | − | 15.8930i | 0.174411 | − | 0.570895i | ||||
\(776\) | 2.98715 | − | 3.44736i | 0.107233 | − | 0.123753i | ||||
\(777\) | −0.163543 | − | 0.254479i | −0.00586709 | − | 0.00912937i | ||||
\(778\) | −27.3481 | + | 23.6973i | −0.980479 | + | 0.849590i | ||||
\(779\) | −6.43433 | − | 1.88929i | −0.230534 | − | 0.0676909i | ||||
\(780\) | 0.516361 | − | 0.933513i | 0.0184887 | − | 0.0334251i | ||||
\(781\) | −18.8613 | −0.674912 | ||||||||
\(782\) | 29.9472 | − | 21.4353i | 1.07091 | − | 0.766526i | ||||
\(783\) | 1.79202i | 0.0640416i | ||||||||
\(784\) | 2.87515 | − | 6.29570i | 0.102684 | − | 0.224846i | ||||
\(785\) | −2.49840 | + | 6.58857i | −0.0891717 | + | 0.235156i | ||||
\(786\) | −0.140514 | − | 0.162162i | −0.00501198 | − | 0.00578413i | ||||
\(787\) | 4.63405 | + | 7.21072i | 0.165186 | + | 0.257034i | 0.913972 | − | 0.405778i | \(-0.132999\pi\) |
−0.748786 | + | 0.662812i | \(0.769363\pi\) | |||||||
\(788\) | 4.97003 | + | 4.30656i | 0.177050 | + | 0.153415i | ||||
\(789\) | −0.271020 | + | 1.88498i | −0.00964856 | + | 0.0671072i | ||||
\(790\) | 2.23756 | + | 10.5628i | 0.0796089 | + | 0.375806i | ||||
\(791\) | −2.93693 | − | 1.88745i | −0.104425 | − | 0.0671100i | ||||
\(792\) | 14.7213 | − | 2.11660i | 0.523099 | − | 0.0752103i | ||||
\(793\) | −36.8599 | + | 16.8334i | −1.30893 | + | 0.597770i | ||||
\(794\) | 2.07826 | + | 4.55075i | 0.0737547 | + | 0.161500i | ||||
\(795\) | −0.200709 | − | 3.03896i | −0.00711841 | − | 0.107781i | ||||
\(796\) | 7.50376 | + | 4.82237i | 0.265964 | + | 0.170925i | ||||
\(797\) | −10.8307 | − | 36.8861i | −0.383644 | − | 1.30657i | −0.894562 | − | 0.446943i | \(-0.852513\pi\) |
0.510918 | − | 0.859629i | \(-0.329306\pi\) | |||||||
\(798\) | −0.148219 | − | 0.0213106i | −0.00524689 | − | 0.000754388i | ||||
\(799\) | 30.1040 | − | 34.7419i | 1.06500 | − | 1.22908i | ||||
\(800\) | −2.02738 | − | 4.57053i | −0.0716785 | − | 0.161593i | ||||
\(801\) | −10.9273 | − | 12.6107i | −0.386096 | − | 0.445579i | ||||
\(802\) | 1.81761 | − | 6.19023i | 0.0641822 | − | 0.218585i | ||||
\(803\) | −46.2034 | − | 21.1004i | −1.63048 | − | 0.744617i | ||||
\(804\) | 1.16586 | 0.0411166 | ||||||||
\(805\) | 1.55948 | + | 2.57595i | 0.0549646 | + | 0.0907904i | ||||
\(806\) | 12.4147 | 0.437290 | ||||||||
\(807\) | 0.970806 | + | 0.443352i | 0.0341740 | + | 0.0156067i | ||||
\(808\) | 0.542274 | − | 1.84682i | 0.0190771 | − | 0.0649707i | ||||
\(809\) | −12.8412 | − | 14.8196i | −0.451474 | − | 0.521028i | 0.483692 | − | 0.875238i | \(-0.339295\pi\) |
−0.935166 | + | 0.354210i | \(0.884750\pi\) | |||||||
\(810\) | 9.39280 | + | 17.4268i | 0.330029 | + | 0.612314i | ||||
\(811\) | 15.8211 | − | 18.2585i | 0.555554 | − | 0.641143i | −0.406614 | − | 0.913600i | \(-0.633291\pi\) |
0.962168 | + | 0.272457i | \(0.0878361\pi\) | |||||||
\(812\) | 0.651703 | + | 0.0937007i | 0.0228703 | + | 0.00328825i | ||||
\(813\) | −0.0854659 | − | 0.291070i | −0.00299742 | − | 0.0102083i | ||||
\(814\) | 35.3684 | + | 22.7299i | 1.23966 | + | 0.796682i | ||||
\(815\) | 25.6287 | − | 1.69265i | 0.897733 | − | 0.0592911i | ||||
\(816\) | 0.407451 | + | 0.892192i | 0.0142636 | + | 0.0312330i | ||||
\(817\) | −30.8201 | + | 14.0751i | −1.07826 | + | 0.492425i | ||||
\(818\) | 12.2306 | − | 1.75849i | 0.427633 | − | 0.0614843i | ||||
\(819\) | 2.63269 | + | 1.69192i | 0.0919935 | + | 0.0591206i | ||||
\(820\) | −3.51351 | + | 0.744285i | −0.122697 | + | 0.0259916i | ||||
\(821\) | 3.79085 | − | 26.3660i | 0.132302 | − | 0.920178i | −0.810242 | − | 0.586095i | \(-0.800664\pi\) |
0.942544 | − | 0.334083i | \(-0.108427\pi\) | |||||||
\(822\) | 0.0781179 | + | 0.0676896i | 0.00272468 | + | 0.00236095i | ||||
\(823\) | −2.59683 | − | 4.04075i | −0.0905200 | − | 0.140852i | 0.793040 | − | 0.609169i | \(-0.208497\pi\) |
−0.883560 | + | 0.468317i | \(0.844860\pi\) | |||||||
\(824\) | −9.90989 | − | 11.4366i | −0.345227 | − | 0.398413i | ||||
\(825\) | 1.35389 | − | 2.88108i | 0.0471365 | − | 0.100306i | ||||
\(826\) | 1.19730 | − | 2.62171i | 0.0416593 | − | 0.0912211i | ||||
\(827\) | 3.63332i | 0.126343i | 0.998003 | + | 0.0631715i | \(0.0201215\pi\) | ||||
−0.998003 | + | 0.0631715i | \(0.979878\pi\) | |||||||
\(828\) | −13.5108 | + | 4.71299i | −0.469534 | + | 0.163788i | ||||
\(829\) | 4.44615 | 0.154421 | 0.0772106 | − | 0.997015i | \(-0.475399\pi\) | ||||
0.0772106 | + | 0.997015i | \(0.475399\pi\) | |||||||
\(830\) | 13.6864 | − | 24.7433i | 0.475063 | − | 0.858851i | ||||
\(831\) | −1.20463 | − | 0.353710i | −0.0417880 | − | 0.0122701i | ||||
\(832\) | 2.82294 | − | 2.44609i | 0.0978678 | − | 0.0848029i | ||||
\(833\) | −28.7345 | − | 44.7117i | −0.995590 | − | 1.54917i | ||||
\(834\) | −1.25347 | + | 1.44659i | −0.0434043 | + | 0.0500912i | ||||
\(835\) | 30.0614 | + | 6.71127i | 1.04032 | + | 0.232253i | ||||
\(836\) | 19.9688 | − | 5.86337i | 0.690635 | − | 0.202789i | ||||
\(837\) | 1.37331 | − | 2.13691i | 0.0474685 | − | 0.0738624i | ||||
\(838\) | 16.6796 | − | 2.39816i | 0.576186 | − | 0.0828430i | ||||
\(839\) | −19.4575 | − | 42.6060i | −0.671748 | − | 1.47092i | −0.871156 | − | 0.491006i | \(-0.836629\pi\) |
0.199408 | − | 0.979916i | \(-0.436098\pi\) | |||||||
\(840\) | −0.0752921 | + | 0.0276160i | −0.00259782 | + | 0.000952842i | ||||
\(841\) | 3.34470 | + | 23.2629i | 0.115335 | + | 0.802169i | ||||
\(842\) | 10.6297 | − | 16.5401i | 0.366323 | − | 0.570010i | ||||
\(843\) | −0.606852 | − | 2.06675i | −0.0209011 | − | 0.0711826i | ||||
\(844\) | 1.96067 | − | 13.6367i | 0.0674890 | − | 0.469396i | ||||
\(845\) | −1.51397 | + | 1.49755i | −0.0520821 | + | 0.0515175i | ||||
\(846\) | −15.0259 | + | 9.65654i | −0.516600 | + | 0.331999i | ||||
\(847\) | 2.93851 | − | 2.54623i | 0.100968 | − | 0.0874896i | ||||
\(848\) | 3.00431 | − | 10.2317i | 0.103168 | − | 0.351359i | ||||
\(849\) | −0.194691 | + | 0.426314i | −0.00668179 | + | 0.0146311i | ||||
\(850\) | −37.9433 | − | 5.87826i | −1.30145 | − | 0.201623i | ||||
\(851\) | −37.5887 | − | 14.9422i | −1.28852 | − | 0.512213i | ||||
\(852\) | 0.483296i | 0.0165574i | ||||||||
\(853\) | −17.3122 | − | 7.90622i | −0.592759 | − | 0.270704i | 0.0963667 | − | 0.995346i | \(-0.469278\pi\) |
−0.689125 | + | 0.724642i | \(0.742005\pi\) | |||||||
\(854\) | 2.92282 | + | 0.858218i | 0.100017 | + | 0.0293676i | ||||
\(855\) | 16.5714 | + | 22.3902i | 0.566731 | + | 0.765728i | ||||
\(856\) | 5.98218 | − | 3.84451i | 0.204467 | − | 0.131403i | ||||
\(857\) | 7.18356 | + | 6.22459i | 0.245386 | + | 0.212628i | 0.768866 | − | 0.639410i | \(-0.220821\pi\) |
−0.523480 | + | 0.852038i | \(0.675367\pi\) | |||||||
\(858\) | 2.35393 | + | 0.338444i | 0.0803619 | + | 0.0115543i | ||||
\(859\) | 42.4560 | − | 12.4662i | 1.44858 | − | 0.425341i | 0.539508 | − | 0.841981i | \(-0.318610\pi\) |
0.909072 | + | 0.416639i | \(0.136792\pi\) | |||||||
\(860\) | −10.9535 | + | 14.4671i | −0.373511 | + | 0.493324i | ||||
\(861\) | 0.00819805 | + | 0.0570187i | 0.000279389 | + | 0.00194319i | ||||
\(862\) | −22.9582 | + | 10.4847i | −0.781959 | + | 0.357109i | ||||
\(863\) | −43.6356 | + | 19.9277i | −1.48537 | + | 0.678347i | −0.982542 | − | 0.186039i | \(-0.940435\pi\) |
−0.502830 | + | 0.864385i | \(0.667708\pi\) | |||||||
\(864\) | −0.108767 | − | 0.756489i | −0.00370032 | − | 0.0257363i | ||||
\(865\) | −7.78940 | + | 10.2881i | −0.264847 | + | 0.349804i | ||||
\(866\) | −20.1012 | + | 5.90225i | −0.683067 | + | 0.200567i | ||||
\(867\) | 5.30608 | + | 0.762899i | 0.180204 | + | 0.0259094i | ||||
\(868\) | −0.705321 | − | 0.611164i | −0.0239401 | − | 0.0207443i | ||||
\(869\) | −20.2483 | + | 13.0128i | −0.686875 | + | 0.441428i | ||||
\(870\) | 0.398389 | + | 0.538276i | 0.0135067 | + | 0.0182493i | ||||
\(871\) | −32.7140 | − | 9.60571i | −1.10847 | − | 0.325477i | ||||
\(872\) | −9.67531 | − | 4.41856i | −0.327647 | − | 0.149631i | ||||
\(873\) | 13.6101i | 0.460633i | ||||||||
\(874\) | −17.7751 | + | 9.21852i | −0.601253 | + | 0.311821i | ||||
\(875\) | 0.717401 | − | 3.05636i | 0.0242526 | − | 0.103324i | ||||
\(876\) | −0.540669 | + | 1.18390i | −0.0182675 | + | 0.0400002i | ||||
\(877\) | 5.75302 | − | 19.5930i | 0.194266 | − | 0.661609i | −0.803531 | − | 0.595263i | \(-0.797048\pi\) |
0.997797 | − | 0.0663456i | \(-0.0211340\pi\) | |||||||
\(878\) | −5.39598 | + | 4.67565i | −0.182106 | + | 0.157795i | ||||
\(879\) | 1.83082 | − | 1.17660i | 0.0617522 | − | 0.0396857i | ||||
\(880\) | 7.92429 | − | 7.83838i | 0.267128 | − | 0.264232i | ||||
\(881\) | −1.18784 | + | 8.26160i | −0.0400193 | + | 0.278340i | −0.999999 | − | 0.00173092i | \(-0.999449\pi\) |
0.959979 | + | 0.280071i | \(0.0903581\pi\) | |||||||
\(882\) | 5.81793 | + | 19.8141i | 0.195900 | + | 0.667174i | ||||
\(883\) | 26.7301 | − | 41.5929i | 0.899540 | − | 1.39971i | −0.0170371 | − | 0.999855i | \(-0.505423\pi\) |
0.916577 | − | 0.399857i | \(-0.130940\pi\) | |||||||
\(884\) | −4.08216 | − | 28.3920i | −0.137298 | − | 0.954927i | ||||
\(885\) | 2.75219 | − | 1.00946i | 0.0925137 | − | 0.0339326i | ||||
\(886\) | −14.6454 | − | 32.0688i | −0.492020 | − | 1.07737i | ||||
\(887\) | −16.3948 | + | 2.35721i | −0.550483 | + | 0.0791475i | −0.411943 | − | 0.911209i | \(-0.635150\pi\) |
−0.138539 | + | 0.990357i | \(0.544241\pi\) | |||||||
\(888\) | 0.582422 | − | 0.906266i | 0.0195448 | − | 0.0304123i | ||||
\(889\) | −4.85831 | + | 1.42653i | −0.162943 | + | 0.0478443i | ||||
\(890\) | −12.2049 | − | 2.72476i | −0.409108 | − | 0.0913340i | ||||
\(891\) | −28.9000 | + | 33.3524i | −0.968186 | + | 1.11735i | ||||
\(892\) | 0.186742 | + | 0.290576i | 0.00625257 | + | 0.00972919i | ||||
\(893\) | −18.8891 | + | 16.3675i | −0.632100 | + | 0.547717i | ||||
\(894\) | −1.33692 | − | 0.392555i | −0.0447133 | − | 0.0131290i | ||||
\(895\) | 7.88999 | − | 14.2641i | 0.263733 | − | 0.476795i | ||||
\(896\) | −0.280799 | −0.00938083 | ||||||||
\(897\) | −2.28518 | + | 0.114430i | −0.0763000 | + | 0.00382070i | ||||
\(898\) | 33.7399i | 1.12592i | ||||||||
\(899\) | −3.23737 | + | 7.08886i | −0.107972 | + | 0.236427i | ||||
\(900\) | 13.5019 | + | 6.34489i | 0.450064 | + | 0.211496i | ||||
\(901\) | −53.6256 | − | 61.8873i | −1.78653 | − | 2.06176i | ||||
\(902\) | −4.32846 | − | 6.73521i | −0.144122 | − | 0.224258i | ||||
\(903\) | 0.219961 | + | 0.190597i | 0.00731984 | + | 0.00634268i | ||||
\(904\) | 1.76938 | − | 12.3063i | 0.0588488 | − | 0.409302i | ||||
\(905\) | 14.7531 | − | 3.12523i | 0.490410 | − | 0.103886i | ||||
\(906\) | 1.50646 | + | 0.968143i | 0.0500488 | + | 0.0321644i | ||||
\(907\) | 4.60154 | − | 0.661601i | 0.152791 | − | 0.0219681i | −0.0654946 | − | 0.997853i | \(-0.520863\pi\) |
0.218286 | + | 0.975885i | \(0.429953\pi\) | |||||||
\(908\) | 7.06769 | − | 3.22771i | 0.234549 | − | 0.107115i | ||||
\(909\) | 2.38571 | + | 5.22397i | 0.0791289 | + | 0.173268i | ||||
\(910\) | 2.34023 | − | 0.154561i | 0.0775779 | − | 0.00512366i | ||||
\(911\) | −26.4234 | − | 16.9813i | −0.875446 | − | 0.562615i | 0.0239679 | − | 0.999713i | \(-0.492370\pi\) |
−0.899414 | + | 0.437098i | \(0.856006\pi\) | |||||||
\(912\) | −0.150241 | − | 0.511673i | −0.00497497 | − | 0.0169432i | ||||
\(913\) | 62.3922 | + | 8.97065i | 2.06488 | + | 0.296885i | ||||
\(914\) | −2.39143 | + | 2.75986i | −0.0791016 | + | 0.0912881i | ||||
\(915\) | 1.47003 | + | 2.72739i | 0.0485976 | + | 0.0901647i | ||||
\(916\) | −4.67586 | − | 5.39624i | −0.154495 | − | 0.178297i | ||||
\(917\) | 0.132901 | − | 0.452618i | 0.00438876 | − | 0.0149468i | ||||
\(918\) | −5.33860 | − | 2.43806i | −0.176200 | − | 0.0804679i | ||||
\(919\) | −5.49271 | −0.181188 | −0.0905939 | − | 0.995888i | \(-0.528877\pi\) | ||||
−0.0905939 | + | 0.995888i | \(0.528877\pi\) | |||||||
\(920\) | −6.03754 | + | 8.86274i | −0.199052 | + | 0.292196i | ||||
\(921\) | −0.266750 | −0.00878970 | ||||||||
\(922\) | −25.9304 | − | 11.8420i | −0.853972 | − | 0.389996i | ||||
\(923\) | 3.98196 | − | 13.5613i | 0.131068 | − | 0.446376i | ||||
\(924\) | −0.117073 | − | 0.135110i | −0.00385143 | − | 0.00444479i | ||||
\(925\) | 17.0996 | + | 38.5495i | 0.562231 | + | 1.26750i | ||||
\(926\) | −19.9481 | + | 23.0214i | −0.655536 | + | 0.756529i | ||||
\(927\) | 44.6920 | + | 6.42574i | 1.46788 | + | 0.211049i | ||||
\(928\) | 0.660594 | + | 2.24977i | 0.0216850 | + | 0.0738525i | ||||
\(929\) | 7.02870 | + | 4.51707i | 0.230604 | + | 0.148200i | 0.650841 | − | 0.759214i | \(-0.274417\pi\) |
−0.420237 | + | 0.907415i | \(0.638053\pi\) | |||||||
\(930\) | −0.0625565 | − | 0.947175i | −0.00205131 | − | 0.0310591i | ||||
\(931\) | 12.0042 | + | 26.2856i | 0.393423 | + | 0.861476i | ||||
\(932\) | −8.14105 | + | 3.71789i | −0.266669 | + | 0.121784i | ||||
\(933\) | −1.75740 | + | 0.252676i | −0.0575346 | + | 0.00827223i | ||||
\(934\) | 30.5290 | + | 19.6198i | 0.998939 | + | 0.641979i | ||||
\(935\) | −17.7380 | − | 83.7347i | −0.580093 | − | 2.73842i | ||||
\(936\) | −1.58609 | + | 11.0315i | −0.0518429 | + | 0.360575i | ||||
\(937\) | −35.1166 | − | 30.4287i | −1.14721 | − | 0.994063i | −0.999988 | − | 0.00495980i | \(-0.998421\pi\) |
−0.147222 | − | 0.989103i | \(-0.547033\pi\) | |||||||
\(938\) | 1.38571 | + | 2.15621i | 0.0452451 | + | 0.0704028i | ||||
\(939\) | −0.865847 | − | 0.999241i | −0.0282558 | − | 0.0326090i | ||||
\(940\) | −4.74615 | + | 12.5161i | −0.154802 | + | 0.408232i | ||||
\(941\) | 9.97888 | − | 21.8507i | 0.325302 | − | 0.712312i | −0.674357 | − | 0.738405i | \(-0.735579\pi\) |
0.999660 | + | 0.0260927i | \(0.00830651\pi\) | |||||||
\(942\) | 0.402492i | 0.0131139i | ||||||||
\(943\) | 5.32913 | + | 5.56187i | 0.173540 | + | 0.181119i | ||||
\(944\) | 10.2642 | 0.334070 | ||||||||
\(945\) | 0.232271 | − | 0.419915i | 0.00755577 | − | 0.0136598i | ||||
\(946\) | −38.8127 | − | 11.3964i | −1.26191 | − | 0.370530i | ||||
\(947\) | 40.9726 | − | 35.5030i | 1.33143 | − | 1.15369i | 0.355729 | − | 0.934589i | \(-0.384233\pi\) |
0.975702 | − | 0.219103i | \(-0.0703129\pi\) | |||||||
\(948\) | 0.333434 | + | 0.518834i | 0.0108294 | + | 0.0168509i | ||||
\(949\) | 24.9255 | − | 28.7656i | 0.809117 | − | 0.933771i | ||||
\(950\) | 19.9649 | + | 6.09939i | 0.647747 | + | 0.197890i | ||||
\(951\) | −0.208383 | + | 0.0611868i | −0.00675729 | + | 0.00198412i | ||||
\(952\) | −1.16579 | + | 1.81400i | −0.0377835 | + | 0.0587922i | ||||
\(953\) | −30.8033 | + | 4.42885i | −0.997817 | + | 0.143464i | −0.621823 | − | 0.783158i | \(-0.713608\pi\) |
−0.375994 | + | 0.926622i | \(0.622699\pi\) | |||||||
\(954\) | 13.2173 | + | 28.9419i | 0.427926 | + | 0.937027i | ||||
\(955\) | −6.89612 | − | 18.8016i | −0.223153 | − | 0.608404i | ||||
\(956\) | −2.72700 | − | 18.9667i | −0.0881974 | − | 0.613426i | ||||
\(957\) | −0.807086 | + | 1.25585i | −0.0260894 | + | 0.0405959i | ||||
\(958\) | 6.93838 | + | 23.6299i | 0.224169 | + | 0.763449i | ||||
\(959\) | −0.0323401 | + | 0.224930i | −0.00104432 | + | 0.00726338i | ||||
\(960\) | −0.200848 | − | 0.203049i | −0.00648233 | − | 0.00655338i | ||||
\(961\) | −16.7859 | + | 10.7877i | −0.541481 | + | 0.347989i | ||||
\(962\) | −23.8097 | + | 20.6312i | −0.767654 | + | 0.665176i | ||||
\(963\) | −5.97755 | + | 20.3577i | −0.192624 | + | 0.656016i | ||||
\(964\) | 6.46276 | − | 14.1515i | 0.208151 | − | 0.455788i | ||||
\(965\) | −0.438727 | + | 5.69762i | −0.0141231 | + | 0.183413i | ||||
\(966\) | 0.135462 | + | 0.105996i | 0.00435842 | + | 0.00341037i | ||||
\(967\) | − | 5.75671i | − | 0.185123i | −0.995707 | − | 0.0925617i | \(-0.970494\pi\) | ||
0.995707 | − | 0.0925617i | \(-0.0295055\pi\) | |||||||
\(968\) | 12.5956 | + | 5.75223i | 0.404839 | + | 0.184884i | ||||
\(969\) | −3.92924 | − | 1.15373i | −0.126225 | − | 0.0370631i | ||||
\(970\) | 6.06795 | + | 8.19859i | 0.194830 | + | 0.263241i | ||||
\(971\) | −26.5964 | + | 17.0925i | −0.853520 | + | 0.548524i | −0.892671 | − | 0.450709i | \(-0.851171\pi\) |
0.0391508 | + | 0.999233i | \(0.487535\pi\) | |||||||
\(972\) | 2.58739 | + | 2.24199i | 0.0829907 | + | 0.0719119i | ||||
\(973\) | −4.16526 | − | 0.598874i | −0.133532 | − | 0.0191990i | ||||
\(974\) | 29.3089 | − | 8.60588i | 0.939118 | − | 0.275750i | ||||
\(975\) | 1.78567 | + | 1.58170i | 0.0571872 | + | 0.0506548i | ||||
\(976\) | 1.54389 | + | 10.7380i | 0.0494186 | + | 0.343714i | ||||
\(977\) | −19.1808 | + | 8.75957i | −0.613648 | + | 0.280244i | −0.697894 | − | 0.716201i | \(-0.745879\pi\) |
0.0842458 | + | 0.996445i | \(0.473152\pi\) | |||||||
\(978\) | 1.33453 | − | 0.609460i | 0.0426736 | − | 0.0194884i | ||||
\(979\) | −3.96731 | − | 27.5933i | −0.126796 | − | 0.881884i | ||||
\(980\) | 12.3386 | + | 9.34191i | 0.394141 | + | 0.298416i | ||||
\(981\) | 30.4505 | − | 8.94106i | 0.972209 | − | 0.285466i | ||||
\(982\) | 1.24876 | + | 0.179544i | 0.0398494 | + | 0.00572948i | ||||
\(983\) | −31.8138 | − | 27.5668i | −1.01470 | − | 0.879245i | −0.0219910 | − | 0.999758i | \(-0.507001\pi\) |
−0.992712 | + | 0.120513i | \(0.961546\pi\) | |||||||
\(984\) | −0.172581 | + | 0.110911i | −0.00550167 | + | 0.00353571i | ||||
\(985\) | −11.8198 | + | 8.74811i | −0.376612 | + | 0.278738i | ||||
\(986\) | 17.2765 | + | 5.07283i | 0.550195 | + | 0.161552i | ||||
\(987\) | 0.195298 | + | 0.0891896i | 0.00621640 | + | 0.00283894i | ||||
\(988\) | 15.5954i | 0.496157i | ||||||||
\(989\) | 38.7514 | + | 3.60519i | 1.23222 | + | 0.114638i | ||||
\(990\) | −2.55324 | + | 33.1582i | −0.0811473 | + | 1.05384i | ||||
\(991\) | 8.62386 | − | 18.8836i | 0.273946 | − | 0.599858i | −0.721790 | − | 0.692113i | \(-0.756680\pi\) |
0.995735 | + | 0.0922549i | \(0.0294075\pi\) | |||||||
\(992\) | 0.936376 | − | 3.18900i | 0.0297300 | − | 0.101251i | ||||
\(993\) | −0.209433 | + | 0.181475i | −0.00664616 | + | 0.00575893i | ||||
\(994\) | −0.893837 | + | 0.574434i | −0.0283508 | + | 0.0182200i | ||||
\(995\) | −14.1800 | + | 14.0263i | −0.449536 | + | 0.444663i | ||||
\(996\) | 0.229861 | − | 1.59872i | 0.00728341 | − | 0.0506572i | ||||
\(997\) | 1.16846 | + | 3.97941i | 0.0370055 | + | 0.126029i | 0.975924 | − | 0.218110i | \(-0.0699891\pi\) |
−0.938919 | + | 0.344139i | \(0.888171\pi\) | |||||||
\(998\) | −1.89964 | + | 2.95589i | −0.0601319 | + | 0.0935671i | ||||
\(999\) | 0.917377 | + | 6.38050i | 0.0290245 | + | 0.201870i |
(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 | 230.2.j.a.29.3 | ✓ | 120 | |
5.4 | even | 2 | inner | 230.2.j.a.29.10 | yes | 120 | |
23.4 | even | 11 | inner | 230.2.j.a.119.10 | yes | 120 | |
115.4 | even | 22 | inner | 230.2.j.a.119.3 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.j.a.29.3 | ✓ | 120 | 1.1 | even | 1 | trivial | |
230.2.j.a.29.10 | yes | 120 | 5.4 | even | 2 | inner | |
230.2.j.a.119.3 | yes | 120 | 115.4 | even | 22 | inner | |
230.2.j.a.119.10 | yes | 120 | 23.4 | even | 11 | inner |