Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.8 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −1.40926 | − | 1.73608i | −0.630240 | − | 0.776401i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 1.26240 | − | 2.31192i | 0.477143 | − | 0.873822i | −0.522631 | − | 0.852559i | \(-0.675049\pi\) |
0.999774 | − | 0.0212629i | \(-0.00676871\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −1.52952 | − | 1.63113i | −0.483676 | − | 0.515807i | ||||
\(11\) | −3.41960 | + | 2.96310i | −1.03105 | + | 0.893409i | −0.994375 | − | 0.105918i | \(-0.966222\pi\) |
−0.0366743 | + | 0.999327i | \(0.511676\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | 4.05636 | − | 2.21494i | 1.12503 | − | 0.614314i | 0.194638 | − | 0.980875i | \(-0.437647\pi\) |
0.930394 | + | 0.366561i | \(0.119465\pi\) | |||||||
\(14\) | 1.09425 | − | 2.39608i | 0.292452 | − | 0.640380i | ||||
\(15\) | −1.99597 | + | 1.00802i | −0.515357 | + | 0.260270i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −2.81116 | − | 3.75527i | −0.681806 | − | 0.910786i | 0.317492 | − | 0.948261i | \(-0.397159\pi\) |
−0.999298 | + | 0.0374749i | \(0.988069\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | 0.166109 | + | 1.15532i | 0.0381081 | + | 0.265047i | 0.999964 | − | 0.00850979i | \(-0.00270878\pi\) |
−0.961856 | + | 0.273557i | \(0.911800\pi\) | |||||||
\(20\) | −1.64199 | − | 1.51786i | −0.367159 | − | 0.339403i | ||||
\(21\) | −1.99074 | − | 1.72498i | −0.434415 | − | 0.376422i | ||||
\(22\) | −3.19951 | + | 3.19951i | −0.682137 | + | 0.682137i | ||||
\(23\) | −0.0981907 | − | 4.79483i | −0.0204742 | − | 0.999790i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | −1.02798 | + | 4.89319i | −0.205596 | + | 0.978637i | ||||
\(26\) | 3.88801 | − | 2.49867i | 0.762502 | − | 0.490030i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | 0.920532 | − | 2.46804i | 0.173964 | − | 0.466416i | ||||
\(29\) | −1.94866 | − | 0.280175i | −0.361858 | − | 0.0520273i | −0.0410116 | − | 0.999159i | \(-0.513058\pi\) |
−0.320846 | + | 0.947131i | \(0.603967\pi\) | |||||||
\(30\) | −1.91897 | + | 1.14784i | −0.350355 | + | 0.209567i | ||||
\(31\) | 1.55826 | + | 1.00144i | 0.279872 | + | 0.179863i | 0.673045 | − | 0.739602i | \(-0.264986\pi\) |
−0.393172 | + | 0.919465i | \(0.628622\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | 2.16850 | + | 3.97131i | 0.377487 | + | 0.691316i | ||||
\(34\) | −3.07189 | − | 3.54515i | −0.526825 | − | 0.607989i | ||||
\(35\) | −5.79273 | + | 1.06645i | −0.979150 | + | 0.180263i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −4.10060 | − | 10.9941i | −0.674135 | − | 1.80743i | −0.584408 | − | 0.811460i | \(-0.698673\pi\) |
−0.0897272 | − | 0.995966i | \(-0.528600\pi\) | |||||||
\(38\) | 0.248105 | + | 1.14052i | 0.0402480 | + | 0.185017i | ||||
\(39\) | −1.30208 | − | 4.43448i | −0.208500 | − | 0.710085i | ||||
\(40\) | −1.74608 | − | 1.39685i | −0.276080 | − | 0.220861i | ||||
\(41\) | 4.03813 | + | 8.84228i | 0.630651 | + | 1.38093i | 0.907514 | + | 0.420023i | \(0.137978\pi\) |
−0.276863 | + | 0.960909i | \(0.589295\pi\) | |||||||
\(42\) | −2.10872 | − | 1.57857i | −0.325383 | − | 0.243579i | ||||
\(43\) | 0.304775 | + | 0.0662997i | 0.0464777 | + | 0.0101106i | 0.235744 | − | 0.971815i | \(-0.424247\pi\) |
−0.189266 | + | 0.981926i | \(0.560611\pi\) | |||||||
\(44\) | −2.96310 | + | 3.41960i | −0.446705 | + | 0.515525i | ||||
\(45\) | 0.560711 | + | 2.16463i | 0.0835859 | + | 0.322683i | ||||
\(46\) | −0.439999 | − | 4.77560i | −0.0648744 | − | 0.704125i | ||||
\(47\) | 3.83051 | + | 3.83051i | 0.558737 | + | 0.558737i | 0.928948 | − | 0.370210i | \(-0.120714\pi\) |
−0.370210 | + | 0.928948i | \(0.620714\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | 0.0331903 | + | 0.0516451i | 0.00474147 | + | 0.00737787i | ||||
\(50\) | −0.676284 | + | 4.95405i | −0.0956409 | + | 0.700609i | ||||
\(51\) | −4.26700 | + | 1.94867i | −0.597500 | + | 0.272869i | ||||
\(52\) | 3.69985 | − | 2.76968i | 0.513077 | − | 0.384085i | ||||
\(53\) | 7.71569 | + | 4.21309i | 1.05983 | + | 0.578712i | 0.911953 | − | 0.410294i | \(-0.134574\pi\) |
0.147878 | + | 0.989006i | \(0.452756\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | 9.96330 | + | 1.76094i | 1.34345 | + | 0.237445i | ||||
\(56\) | 0.742118 | − | 2.52742i | 0.0991698 | − | 0.337741i | ||||
\(57\) | 1.16422 | + | 0.0832668i | 0.154205 | + | 0.0110290i | ||||
\(58\) | −1.96369 | − | 0.140446i | −0.257844 | − | 0.0184414i | ||||
\(59\) | 0.914088 | − | 3.11310i | 0.119004 | − | 0.405291i | −0.878347 | − | 0.478023i | \(-0.841354\pi\) |
0.997352 | + | 0.0727321i | \(0.0231718\pi\) | |||||||
\(60\) | −1.83220 | + | 1.28182i | −0.236536 | + | 0.165482i | ||||
\(61\) | 7.55752 | − | 11.7597i | 0.967641 | − | 1.50568i | 0.108400 | − | 0.994107i | \(-0.465427\pi\) |
0.859241 | − | 0.511571i | \(-0.170936\pi\) | |||||||
\(62\) | 1.62574 | + | 0.887719i | 0.206469 | + | 0.112740i | ||||
\(63\) | −2.10872 | + | 1.57857i | −0.265674 | + | 0.198881i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −9.56178 | − | 3.92076i | −1.18599 | − | 0.486310i | ||||
\(66\) | 2.44628 | + | 3.80649i | 0.301117 | + | 0.468547i | ||||
\(67\) | 0.841611 | + | 11.7673i | 0.102819 | + | 1.43760i | 0.742956 | + | 0.669340i | \(0.233423\pi\) |
−0.640137 | + | 0.768261i | \(0.721123\pi\) | |||||||
\(68\) | −3.31697 | − | 3.31697i | −0.402242 | − | 0.402242i | ||||
\(69\) | −4.70612 | − | 0.923267i | −0.566550 | − | 0.111148i | ||||
\(70\) | −5.70189 | + | 1.47698i | −0.681506 | + | 0.176533i | ||||
\(71\) | 7.31113 | − | 8.43750i | 0.867672 | − | 1.00135i | −0.132277 | − | 0.991213i | \(-0.542229\pi\) |
0.999949 | − | 0.0101341i | \(-0.00322583\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | −0.684298 | − | 0.512259i | −0.0800910 | − | 0.0599554i | 0.558482 | − | 0.829517i | \(-0.311384\pi\) |
−0.638573 | + | 0.769561i | \(0.720475\pi\) | |||||||
\(74\) | −4.87447 | − | 10.6736i | −0.566646 | − | 1.24078i | ||||
\(75\) | 4.56285 | + | 2.04461i | 0.526872 | + | 0.236091i | ||||
\(76\) | 0.328837 | + | 1.11992i | 0.0377202 | + | 0.128463i | ||||
\(77\) | 2.53353 | + | 11.6465i | 0.288723 | + | 1.32724i | ||||
\(78\) | −1.61511 | − | 4.33029i | −0.182876 | − | 0.490309i | ||||
\(79\) | 6.01121 | + | 1.76505i | 0.676313 | + | 0.198584i | 0.601813 | − | 0.798637i | \(-0.294445\pi\) |
0.0745010 | + | 0.997221i | \(0.476264\pi\) | |||||||
\(80\) | −1.84129 | − | 1.26873i | −0.205862 | − | 0.141848i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | 4.65865 | + | 8.53167i | 0.514461 | + | 0.942166i | ||||
\(83\) | 9.32162 | − | 3.47678i | 1.02318 | − | 0.381627i | 0.218818 | − | 0.975766i | \(-0.429780\pi\) |
0.804362 | + | 0.594139i | \(0.202507\pi\) | |||||||
\(84\) | −2.21597 | − | 1.42411i | −0.241782 | − | 0.155384i | ||||
\(85\) | −2.55781 | + | 10.1726i | −0.277434 | + | 1.10337i | ||||
\(86\) | 0.308728 | + | 0.0443884i | 0.0332910 | + | 0.00478652i | ||||
\(87\) | −0.687991 | + | 1.84457i | −0.0737603 | + | 0.197759i | ||||
\(88\) | −2.71160 | + | 3.62228i | −0.289058 | + | 0.386136i | ||||
\(89\) | −11.9217 | + | 7.66163i | −1.26370 | + | 0.812131i | −0.988786 | − | 0.149338i | \(-0.952286\pi\) |
−0.274914 | + | 0.961469i | \(0.588649\pi\) | |||||||
\(90\) | 0.713705 | + | 2.11911i | 0.0752312 | + | 0.223374i | ||||
\(91\) | − | 12.1741i | − | 1.27619i | ||||||
\(92\) | −0.779566 | − | 4.73205i | −0.0812754 | − | 0.493350i | ||||
\(93\) | 1.30978 | − | 1.30978i | 0.135818 | − | 0.135818i | ||||
\(94\) | 4.09402 | + | 3.54749i | 0.422266 | + | 0.365895i | ||||
\(95\) | 1.77163 | − | 1.91652i | 0.181766 | − | 0.196631i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | 9.37574 | + | 3.49697i | 0.951962 | + | 0.355063i | 0.776992 | − | 0.629510i | \(-0.216744\pi\) |
0.174970 | + | 0.984574i | \(0.444017\pi\) | |||||||
\(98\) | 0.0367900 | + | 0.0491457i | 0.00371635 | + | 0.00496447i | ||||
\(99\) | 4.34150 | − | 1.27478i | 0.436337 | − | 0.128120i | ||||
\(100\) | −0.321142 | + | 4.98968i | −0.0321142 | + | 0.498968i | ||||
\(101\) | −7.10678 | + | 15.5617i | −0.707151 | + | 1.54844i | 0.123929 | + | 0.992291i | \(0.460451\pi\) |
−0.831080 | + | 0.556154i | \(0.812277\pi\) | |||||||
\(102\) | −4.11711 | + | 2.24811i | −0.407655 | + | 0.222596i | ||||
\(103\) | −1.01142 | + | 14.1415i | −0.0996579 | + | 1.39340i | 0.663978 | + | 0.747752i | \(0.268867\pi\) |
−0.763636 | + | 0.645647i | \(0.776588\pi\) | |||||||
\(104\) | 3.49284 | − | 3.02656i | 0.342501 | − | 0.296779i | ||||
\(105\) | −0.189253 | + | 5.88704i | −0.0184692 | + | 0.574516i | ||||
\(106\) | 7.99659 | + | 3.65192i | 0.776697 | + | 0.354706i | ||||
\(107\) | 0.444094 | − | 0.0966067i | 0.0429322 | − | 0.00933932i | −0.191048 | − | 0.981581i | \(-0.561189\pi\) |
0.233980 | + | 0.972241i | \(0.424825\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | −0.469544 | + | 3.26575i | −0.0449742 | + | 0.312802i | 0.954900 | + | 0.296928i | \(0.0959622\pi\) |
−0.999874 | + | 0.0158740i | \(0.994947\pi\) | |||||||
\(110\) | 10.0635 | + | 1.04568i | 0.959521 | + | 0.0997017i | ||||
\(111\) | −11.6145 | + | 1.66992i | −1.10240 | + | 0.158502i | ||||
\(112\) | 0.559923 | − | 2.57393i | 0.0529078 | − | 0.243213i | ||||
\(113\) | −6.24707 | + | 0.446800i | −0.587675 | + | 0.0420314i | −0.362011 | − | 0.932174i | \(-0.617910\pi\) |
−0.225664 | + | 0.974205i | \(0.572455\pi\) | |||||||
\(114\) | 1.16720 | 0.109318 | ||||||||
\(115\) | −8.18585 | + | 6.92762i | −0.763334 | + | 0.646004i | ||||
\(116\) | −1.96870 | −0.182789 | ||||||||
\(117\) | −4.60991 | + | 0.329708i | −0.426187 | + | 0.0304815i | ||||
\(118\) | 0.689673 | − | 3.17037i | 0.0634895 | − | 0.291857i | ||||
\(119\) | −12.2307 | + | 1.75850i | −1.12118 | + | 0.161202i | ||||
\(120\) | −1.73608 | + | 1.40926i | −0.158482 | + | 0.128647i | ||||
\(121\) | 1.34824 | − | 9.37724i | 0.122568 | − | 0.852476i | ||||
\(122\) | 6.69933 | − | 12.2689i | 0.606529 | − | 1.11077i | ||||
\(123\) | 9.49857 | − | 2.06629i | 0.856457 | − | 0.186311i | ||||
\(124\) | 1.68492 | + | 0.769478i | 0.151310 | + | 0.0691012i | ||||
\(125\) | 9.94367 | − | 5.11111i | 0.889389 | − | 0.457151i | ||||
\(126\) | −1.99074 | + | 1.72498i | −0.177349 | + | 0.153674i | ||||
\(127\) | 0.503228 | − | 7.03605i | 0.0446543 | − | 0.624349i | −0.925015 | − | 0.379930i | \(-0.875948\pi\) |
0.969670 | − | 0.244419i | \(-0.0785972\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | 0.129569 | − | 0.283717i | 0.0114079 | − | 0.0249799i | ||||
\(130\) | −9.81713 | − | 3.22864i | −0.861019 | − | 0.283170i | ||||
\(131\) | 12.0699 | − | 3.54404i | 1.05455 | − | 0.309644i | 0.291896 | − | 0.956450i | \(-0.405714\pi\) |
0.762655 | + | 0.646806i | \(0.223896\pi\) | |||||||
\(132\) | 2.71160 | + | 3.62228i | 0.236015 | + | 0.315279i | ||||
\(133\) | 2.88069 | + | 1.07444i | 0.249787 | + | 0.0931658i | ||||
\(134\) | 1.67893 | + | 11.6772i | 0.145038 | + | 1.00876i | ||||
\(135\) | 2.23434 | − | 0.0877732i | 0.192302 | − | 0.00755432i | ||||
\(136\) | −3.54515 | − | 3.07189i | −0.303994 | − | 0.263413i | ||||
\(137\) | 10.5237 | − | 10.5237i | 0.899102 | − | 0.899102i | −0.0962547 | − | 0.995357i | \(-0.530686\pi\) |
0.995357 | + | 0.0962547i | \(0.0306863\pi\) | |||||||
\(138\) | −4.76000 | − | 0.585184i | −0.405198 | − | 0.0498141i | ||||
\(139\) | − | 0.618374i | − | 0.0524498i | −0.999656 | − | 0.0262249i | \(-0.991651\pi\) | ||
0.999656 | − | 0.0262249i | \(-0.00834860\pi\) | |||||||
\(140\) | −5.58200 | + | 1.87999i | −0.471765 | + | 0.158888i | ||||
\(141\) | 4.55721 | − | 2.92874i | 0.383786 | − | 0.246644i | ||||
\(142\) | 6.69058 | − | 8.93757i | 0.561461 | − | 0.750024i | ||||
\(143\) | −7.30805 | + | 19.5936i | −0.611129 | + | 1.63850i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 2.25976 | + | 3.77788i | 0.187663 | + | 0.313736i | ||||
\(146\) | −0.719098 | − | 0.462136i | −0.0595130 | − | 0.0382467i | ||||
\(147\) | 0.0575199 | − | 0.0214538i | 0.00474416 | − | 0.00176948i | ||||
\(148\) | −5.62350 | − | 10.2987i | −0.462249 | − | 0.846545i | ||||
\(149\) | −11.4446 | − | 13.2078i | −0.937581 | − | 1.08203i | −0.996486 | − | 0.0837626i | \(-0.973306\pi\) |
0.0589047 | − | 0.998264i | \(-0.481239\pi\) | |||||||
\(150\) | 4.69708 | + | 1.71389i | 0.383515 | + | 0.139938i | ||||
\(151\) | 9.34558 | + | 2.74411i | 0.760532 | + | 0.223312i | 0.638928 | − | 0.769266i | \(-0.279378\pi\) |
0.121604 | + | 0.992579i | \(0.461196\pi\) | |||||||
\(152\) | 0.407893 | + | 1.09360i | 0.0330845 | + | 0.0887030i | ||||
\(153\) | 0.997125 | + | 4.58371i | 0.0806128 | + | 0.370571i | ||||
\(154\) | 3.35793 | + | 11.4360i | 0.270589 | + | 0.921543i | ||||
\(155\) | −0.457421 | − | 4.11656i | −0.0367409 | − | 0.330650i | ||||
\(156\) | −1.91992 | − | 4.20404i | −0.153717 | − | 0.336592i | ||||
\(157\) | −11.0467 | − | 8.26943i | −0.881620 | − | 0.659973i | 0.0594327 | − | 0.998232i | \(-0.481071\pi\) |
−0.941053 | + | 0.338260i | \(0.890162\pi\) | |||||||
\(158\) | 6.12181 | + | 1.33172i | 0.487025 | + | 0.105946i | ||||
\(159\) | 5.75689 | − | 6.64381i | 0.456551 | − | 0.526888i | ||||
\(160\) | −1.92710 | − | 1.13414i | −0.152351 | − | 0.0896615i | ||||
\(161\) | −11.2092 | − | 5.82599i | −0.883408 | − | 0.459152i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 1.03593 | + | 14.4841i | 0.0811400 | + | 1.13448i | 0.861025 | + | 0.508562i | \(0.169823\pi\) |
−0.779885 | + | 0.625923i | \(0.784723\pi\) | |||||||
\(164\) | 5.25542 | + | 8.17759i | 0.410379 | + | 0.638563i | ||||
\(165\) | 3.83855 | − | 9.36130i | 0.298831 | − | 0.728776i | ||||
\(166\) | 9.04984 | − | 4.13292i | 0.702404 | − | 0.320777i | ||||
\(167\) | 0.106099 | − | 0.0794245i | 0.00821017 | − | 0.00614605i | −0.595165 | − | 0.803604i | \(-0.702913\pi\) |
0.603375 | + | 0.797458i | \(0.293822\pi\) | |||||||
\(168\) | −2.31192 | − | 1.26240i | −0.178368 | − | 0.0973964i | ||||
\(169\) | 4.51976 | − | 7.03289i | 0.347674 | − | 0.540992i | ||||
\(170\) | −1.82559 | + | 10.3291i | −0.140017 | + | 0.792206i | ||||
\(171\) | 0.328837 | − | 1.11992i | 0.0251468 | − | 0.0856421i | ||||
\(172\) | 0.311108 | + | 0.0222509i | 0.0237218 | + | 0.00169661i | ||||
\(173\) | 2.00177 | + | 0.143169i | 0.152192 | + | 0.0108850i | 0.147227 | − | 0.989103i | \(-0.452965\pi\) |
0.00496464 | + | 0.999988i | \(0.498420\pi\) | |||||||
\(174\) | −0.554647 | + | 1.88895i | −0.0420477 | + | 0.143201i | ||||
\(175\) | 10.0149 | + | 8.55376i | 0.757056 | + | 0.646604i | ||||
\(176\) | −2.44628 | + | 3.80649i | −0.184396 | + | 0.286925i | ||||
\(177\) | −2.84765 | − | 1.55493i | −0.214042 | − | 0.116876i | ||||
\(178\) | −11.3448 | + | 8.49259i | −0.850327 | + | 0.636547i | ||||
\(179\) | −14.8957 | + | 6.80265i | −1.11336 | + | 0.508454i | −0.885219 | − | 0.465174i | \(-0.845992\pi\) |
−0.228140 | + | 0.973628i | \(0.573264\pi\) | |||||||
\(180\) | 0.863063 | + | 2.06279i | 0.0643289 | + | 0.153752i | ||||
\(181\) | 4.84436 | + | 7.53796i | 0.360078 | + | 0.560293i | 0.973276 | − | 0.229636i | \(-0.0737537\pi\) |
−0.613198 | + | 0.789929i | \(0.710117\pi\) | |||||||
\(182\) | −0.868491 | − | 12.1431i | −0.0643768 | − | 0.900105i | ||||
\(183\) | −9.88451 | − | 9.88451i | −0.730684 | − | 0.730684i | ||||
\(184\) | −1.11516 | − | 4.66438i | −0.0822107 | − | 0.343862i | ||||
\(185\) | −13.3080 | + | 22.6126i | −0.978420 | + | 1.66251i | ||||
\(186\) | 1.21301 | − | 1.39988i | 0.0889419 | − | 0.102644i | ||||
\(187\) | 20.7403 | + | 4.51177i | 1.51668 | + | 0.329934i | ||||
\(188\) | 4.33666 | + | 3.24638i | 0.316283 | + | 0.236767i | ||||
\(189\) | 1.09425 | + | 2.39608i | 0.0795953 | + | 0.174289i | ||||
\(190\) | 1.63040 | − | 2.03802i | 0.118281 | − | 0.147854i | ||||
\(191\) | 2.19534 | + | 7.47664i | 0.158849 | + | 0.540990i | 1.00000 | 0.000189880i | \(6.04406e-5\pi\) | |
−0.841151 | + | 0.540801i | \(0.818121\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | −1.64454 | − | 4.40917i | −0.118376 | − | 0.317379i | 0.864225 | − | 0.503105i | \(-0.167809\pi\) |
−0.982602 | + | 0.185726i | \(0.940536\pi\) | |||||||
\(194\) | 9.60132 | + | 2.81920i | 0.689335 | + | 0.202407i | ||||
\(195\) | −5.86366 | + | 8.50985i | −0.419905 | + | 0.609403i | ||||
\(196\) | 0.0402023 | + | 0.0463959i | 0.00287159 | + | 0.00331399i | ||||
\(197\) | −3.78409 | − | 6.93004i | −0.269605 | − | 0.493745i | 0.707441 | − | 0.706772i | \(-0.249849\pi\) |
−0.977046 | + | 0.213027i | \(0.931668\pi\) | |||||||
\(198\) | 4.23949 | − | 1.58125i | 0.301288 | − | 0.112375i | ||||
\(199\) | 13.4732 | + | 8.65867i | 0.955087 | + | 0.613797i | 0.922634 | − | 0.385676i | \(-0.126032\pi\) |
0.0324527 | + | 0.999473i | \(0.489668\pi\) | |||||||
\(200\) | 0.0356353 | + | 4.99987i | 0.00251979 | + | 0.353544i | ||||
\(201\) | 11.6772 | + | 1.67893i | 0.823649 | + | 0.118423i | ||||
\(202\) | −5.97851 | + | 16.0290i | −0.420647 | + | 1.12780i | ||||
\(203\) | −3.10774 | + | 4.15145i | −0.218120 | + | 0.291375i | ||||
\(204\) | −3.94625 | + | 2.53610i | −0.276292 | + | 0.177562i | ||||
\(205\) | 9.66017 | − | 19.4716i | 0.674695 | − | 1.35996i | ||||
\(206\) | 14.1776i | 0.987799i | ||||||||
\(207\) | −1.90253 | + | 4.40232i | −0.132235 | + | 0.305982i | ||||
\(208\) | 3.26803 | − | 3.26803i | 0.226597 | − | 0.226597i | ||||
\(209\) | −3.99135 | − | 3.45852i | −0.276087 | − | 0.239231i | ||||
\(210\) | 0.231206 | + | 5.88554i | 0.0159547 | + | 0.406141i | ||||
\(211\) | 0.301358 | + | 2.09599i | 0.0207464 | + | 0.144294i | 0.997562 | − | 0.0697893i | \(-0.0222327\pi\) |
−0.976815 | + | 0.214083i | \(0.931324\pi\) | |||||||
\(212\) | 8.23674 | + | 3.07215i | 0.565702 | + | 0.210996i | ||||
\(213\) | −6.69058 | − | 8.93757i | −0.458431 | − | 0.612392i | ||||
\(214\) | 0.436071 | − | 0.128042i | 0.0298092 | − | 0.00875276i | ||||
\(215\) | −0.314405 | − | 0.622548i | −0.0214422 | − | 0.0424574i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 4.28239 | − | 2.33836i | 0.290707 | − | 0.158738i | ||||
\(218\) | −0.235372 | + | 3.29093i | −0.0159414 | + | 0.222890i | ||||
\(219\) | −0.646010 | + | 0.559771i | −0.0436533 | + | 0.0378258i | ||||
\(220\) | 10.1125 | + | 0.325091i | 0.681785 | + | 0.0219176i | ||||
\(221\) | −19.7208 | − | 9.00617i | −1.32656 | − | 0.605821i | ||||
\(222\) | −11.4658 | + | 2.49424i | −0.769535 | + | 0.167402i | ||||
\(223\) | −3.76562 | + | 6.89622i | −0.252165 | + | 0.461805i | −0.972843 | − | 0.231464i | \(-0.925648\pi\) |
0.720679 | + | 0.693269i | \(0.243830\pi\) | |||||||
\(224\) | 0.374875 | − | 2.60731i | 0.0250474 | − | 0.174208i | ||||
\(225\) | 2.96778 | − | 4.02396i | 0.197852 | − | 0.268264i | ||||
\(226\) | −6.19928 | + | 0.891322i | −0.412370 | + | 0.0592899i | ||||
\(227\) | −6.07540 | + | 27.9282i | −0.403239 | + | 1.85366i | 0.107902 | + | 0.994162i | \(0.465587\pi\) |
−0.511141 | + | 0.859497i | \(0.670777\pi\) | |||||||
\(228\) | 1.16422 | − | 0.0832668i | 0.0771025 | − | 0.00551448i | ||||
\(229\) | −25.4851 | −1.68410 | −0.842052 | − | 0.539396i | \(-0.818653\pi\) | ||||
−0.842052 | + | 0.539396i | \(0.818653\pi\) | |||||||
\(230\) | −7.67078 | + | 7.49394i | −0.505796 | + | 0.494136i | ||||
\(231\) | 11.9188 | 0.784202 | ||||||||
\(232\) | −1.96369 | + | 0.140446i | −0.128922 | + | 0.00922070i | ||||
\(233\) | 2.13183 | − | 9.79988i | 0.139661 | − | 0.642012i | −0.853084 | − | 0.521774i | \(-0.825271\pi\) |
0.992745 | − | 0.120238i | \(-0.0383658\pi\) | |||||||
\(234\) | −4.57465 | + | 0.657735i | −0.299054 | + | 0.0429975i | ||||
\(235\) | 1.25191 | − | 12.0483i | 0.0816655 | − | 0.785943i | ||||
\(236\) | 0.461744 | − | 3.21150i | 0.0300570 | − | 0.209051i | ||||
\(237\) | 3.00249 | − | 5.49864i | 0.195032 | − | 0.357175i | ||||
\(238\) | −12.0741 | + | 2.62655i | −0.782645 | + | 0.170254i | ||||
\(239\) | −5.35058 | − | 2.44353i | −0.346100 | − | 0.158059i | 0.234778 | − | 0.972049i | \(-0.424564\pi\) |
−0.580879 | + | 0.813990i | \(0.697291\pi\) | |||||||
\(240\) | −1.63113 | + | 1.52952i | −0.105289 | + | 0.0987300i | ||||
\(241\) | 13.4756 | − | 11.6767i | 0.868038 | − | 0.752160i | −0.102084 | − | 0.994776i | \(-0.532551\pi\) |
0.970122 | + | 0.242616i | \(0.0780056\pi\) | |||||||
\(242\) | 0.675844 | − | 9.44953i | 0.0434449 | − | 0.607439i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | 5.80701 | − | 12.7156i | 0.371756 | − | 0.814031i | ||||
\(245\) | 0.0428865 | − | 0.130402i | 0.00273992 | − | 0.00833110i | ||||
\(246\) | 9.32696 | − | 2.73864i | 0.594665 | − | 0.174610i | ||||
\(247\) | 3.23275 | + | 4.31845i | 0.205695 | + | 0.274777i | ||||
\(248\) | 1.73552 | + | 0.647317i | 0.110206 | + | 0.0411047i | ||||
\(249\) | −1.41588 | − | 9.84764i | −0.0897275 | − | 0.624069i | ||||
\(250\) | 9.55371 | − | 5.80746i | 0.604230 | − | 0.367296i | ||||
\(251\) | −11.3900 | − | 9.86949i | −0.718930 | − | 0.622957i | 0.216576 | − | 0.976266i | \(-0.430511\pi\) |
−0.935507 | + | 0.353309i | \(0.885056\pi\) | |||||||
\(252\) | −1.86261 | + | 1.86261i | −0.117333 | + | 0.117333i | ||||
\(253\) | 14.5433 | + | 16.1055i | 0.914332 | + | 1.01254i | ||||
\(254\) | − | 7.05402i | − | 0.442609i | ||||||
\(255\) | 9.39638 | + | 4.66169i | 0.588424 | + | 0.291926i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 12.6644 | − | 16.9176i | 0.789983 | − | 1.05529i | −0.207051 | − | 0.978330i | \(-0.566387\pi\) |
0.997034 | − | 0.0769631i | \(-0.0245224\pi\) | |||||||
\(258\) | 0.108999 | − | 0.292237i | 0.00678597 | − | 0.0181939i | ||||
\(259\) | −30.5941 | − | 4.39877i | −1.90103 | − | 0.273326i | ||||
\(260\) | −10.0224 | − | 2.52007i | −0.621565 | − | 0.156288i | ||||
\(261\) | 1.65618 | + | 1.06436i | 0.102515 | + | 0.0658822i | ||||
\(262\) | 11.7863 | − | 4.39606i | 0.728160 | − | 0.271590i | ||||
\(263\) | 10.8711 | + | 19.9089i | 0.670339 | + | 1.22763i | 0.962504 | + | 0.271266i | \(0.0874422\pi\) |
−0.292166 | + | 0.956368i | \(0.594376\pi\) | |||||||
\(264\) | 2.96310 | + | 3.41960i | 0.182366 | + | 0.210462i | ||||
\(265\) | −3.55913 | − | 19.3324i | −0.218636 | − | 1.18758i | ||||
\(266\) | 2.95000 | + | 0.866197i | 0.180876 | + | 0.0531100i | ||||
\(267\) | 4.95239 | + | 13.2779i | 0.303081 | + | 0.812593i | ||||
\(268\) | 2.50770 | + | 11.5277i | 0.153182 | + | 0.704167i | ||||
\(269\) | −6.02633 | − | 20.5238i | −0.367432 | − | 1.25136i | −0.911145 | − | 0.412086i | \(-0.864800\pi\) |
0.543713 | − | 0.839271i | \(-0.317018\pi\) | |||||||
\(270\) | 2.22239 | − | 0.246946i | 0.135250 | − | 0.0150287i | ||||
\(271\) | 1.22330 | + | 2.67865i | 0.0743101 | + | 0.162716i | 0.943141 | − | 0.332392i | \(-0.107856\pi\) |
−0.868831 | + | 0.495108i | \(0.835128\pi\) | |||||||
\(272\) | −3.75527 | − | 2.81116i | −0.227697 | − | 0.170452i | ||||
\(273\) | −11.8959 | − | 2.58779i | −0.719972 | − | 0.156620i | ||||
\(274\) | 9.74615 | − | 11.2477i | 0.588787 | − | 0.679496i | ||||
\(275\) | −10.9837 | − | 19.7788i | −0.662344 | − | 1.19270i | ||||
\(276\) | −4.78961 | − | 0.244118i | −0.288301 | − | 0.0146942i | ||||
\(277\) | −18.6413 | − | 18.6413i | −1.12004 | − | 1.12004i | −0.991734 | − | 0.128311i | \(-0.959045\pi\) |
−0.128311 | − | 0.991734i | \(-0.540955\pi\) | |||||||
\(278\) | −0.0441143 | − | 0.616798i | −0.00264580 | − | 0.0369931i | ||||
\(279\) | −1.00144 | − | 1.55826i | −0.0599544 | − | 0.0932908i | ||||
\(280\) | −5.43366 | + | 2.27341i | −0.324723 | + | 0.135862i | ||||
\(281\) | −5.88889 | + | 2.68937i | −0.351302 | + | 0.160434i | −0.583247 | − | 0.812295i | \(-0.698218\pi\) |
0.231945 | + | 0.972729i | \(0.425491\pi\) | |||||||
\(282\) | 4.33666 | − | 3.24638i | 0.258244 | − | 0.193319i | ||||
\(283\) | −22.6027 | − | 12.3420i | −1.34359 | − | 0.733657i | −0.363387 | − | 0.931638i | \(-0.618380\pi\) |
−0.980206 | + | 0.197981i | \(0.936562\pi\) | |||||||
\(284\) | 6.03594 | − | 9.39210i | 0.358167 | − | 0.557319i | ||||
\(285\) | −1.49613 | − | 2.13853i | −0.0886232 | − | 0.126676i | ||||
\(286\) | −5.89163 | + | 20.0651i | −0.348380 | + | 1.18647i | ||||
\(287\) | 25.5403 | + | 1.82668i | 1.50760 | + | 0.107826i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | −1.40997 | + | 4.80192i | −0.0829395 | + | 0.282466i | ||||
\(290\) | 2.52352 | + | 3.60705i | 0.148186 | + | 0.211813i | ||||
\(291\) | 5.41001 | − | 8.41814i | 0.317140 | − | 0.493480i | ||||
\(292\) | −0.750234 | − | 0.409659i | −0.0439042 | − | 0.0239735i | ||||
\(293\) | −18.1982 | + | 13.6230i | −1.06315 | + | 0.795864i | −0.979664 | − | 0.200645i | \(-0.935696\pi\) |
−0.0834858 | + | 0.996509i | \(0.526605\pi\) | |||||||
\(294\) | 0.0558429 | − | 0.0255026i | 0.00325682 | − | 0.00148734i | ||||
\(295\) | −6.69278 | + | 2.80023i | −0.389669 | + | 0.163035i | ||||
\(296\) | −6.34387 | − | 9.87125i | −0.368730 | − | 0.573755i | ||||
\(297\) | −0.322794 | − | 4.51326i | −0.0187304 | − | 0.261886i | ||||
\(298\) | −12.3577 | − | 12.3577i | −0.715863 | − | 0.715863i | ||||
\(299\) | −11.0185 | − | 19.2321i | −0.637219 | − | 1.11222i | ||||
\(300\) | 4.80738 | + | 1.37444i | 0.277554 | + | 0.0793531i | ||||
\(301\) | 0.538028 | − | 0.620917i | 0.0310114 | − | 0.0357891i | ||||
\(302\) | 9.51753 | + | 2.07041i | 0.547672 | + | 0.119139i | ||||
\(303\) | 13.6954 | + | 10.2522i | 0.786780 | + | 0.588976i | ||||
\(304\) | 0.484871 | + | 1.06172i | 0.0278092 | + | 0.0608937i | ||||
\(305\) | −31.0664 | + | 3.45201i | −1.77886 | + | 0.197662i | ||||
\(306\) | 1.32158 | + | 4.50090i | 0.0755498 | + | 0.257299i | ||||
\(307\) | 3.89832 | + | 17.9203i | 0.222489 | + | 1.02277i | 0.943893 | + | 0.330251i | \(0.107133\pi\) |
−0.721404 | + | 0.692514i | \(0.756503\pi\) | |||||||
\(308\) | 4.16521 | + | 11.1674i | 0.237335 | + | 0.636319i | ||||
\(309\) | 13.6033 | + | 3.99429i | 0.773864 | + | 0.227227i | ||||
\(310\) | −0.749927 | − | 4.07344i | −0.0425930 | − | 0.231356i | ||||
\(311\) | 14.3057 | + | 16.5097i | 0.811203 | + | 0.936179i | 0.998940 | − | 0.0460408i | \(-0.0146604\pi\) |
−0.187736 | + | 0.982220i | \(0.560115\pi\) | |||||||
\(312\) | −2.21494 | − | 4.05636i | −0.125396 | − | 0.229646i | ||||
\(313\) | 2.68796 | − | 1.00256i | 0.151933 | − | 0.0566680i | −0.272347 | − | 0.962199i | \(-0.587800\pi\) |
0.424280 | + | 0.905531i | \(0.360527\pi\) | |||||||
\(314\) | −11.6085 | − | 7.46030i | −0.655103 | − | 0.421009i | ||||
\(315\) | 5.71227 | + | 1.43631i | 0.321850 | + | 0.0809268i | ||||
\(316\) | 6.20121 | + | 0.891600i | 0.348845 | + | 0.0501564i | ||||
\(317\) | −1.35566 | + | 3.63466i | −0.0761412 | + | 0.204143i | −0.969444 | − | 0.245313i | \(-0.921109\pi\) |
0.893303 | + | 0.449456i | \(0.148382\pi\) | |||||||
\(318\) | 5.26826 | − | 7.03757i | 0.295429 | − | 0.394647i | ||||
\(319\) | 7.49384 | − | 4.81600i | 0.419575 | − | 0.269644i | ||||
\(320\) | −2.00310 | − | 0.993771i | −0.111977 | − | 0.0555535i | ||||
\(321\) | − | 0.454480i | − | 0.0253666i | ||||||
\(322\) | −11.5962 | − | 5.01149i | −0.646234 | − | 0.279279i | ||||
\(323\) | 3.87156 | − | 3.87156i | 0.215419 | − | 0.215419i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 6.66826 | + | 22.1254i | 0.369889 | + | 1.22730i | ||||
\(326\) | 2.06657 | + | 14.3733i | 0.114457 | + | 0.796065i | ||||
\(327\) | 3.09131 | + | 1.15300i | 0.170950 | + | 0.0637610i | ||||
\(328\) | 5.82541 | + | 7.78184i | 0.321655 | + | 0.429680i | ||||
\(329\) | 13.6915 | − | 4.02018i | 0.754835 | − | 0.221639i | ||||
\(330\) | 3.16094 | − | 9.61128i | 0.174004 | − | 0.529084i | ||||
\(331\) | 8.04460 | − | 17.6152i | 0.442171 | − | 0.968220i | −0.549023 | − | 0.835807i | \(-0.685000\pi\) |
0.991195 | − | 0.132413i | \(-0.0422726\pi\) | |||||||
\(332\) | 8.73194 | − | 4.76800i | 0.479228 | − | 0.261678i | ||||
\(333\) | −0.837092 | + | 11.7041i | −0.0458724 | + | 0.641380i | ||||
\(334\) | 0.100162 | − | 0.0867912i | 0.00548064 | − | 0.00474900i | ||||
\(335\) | 19.2429 | − | 18.0442i | 1.05135 | − | 0.985862i | ||||
\(336\) | −2.39608 | − | 1.09425i | −0.130717 | − | 0.0596965i | ||||
\(337\) | −27.7597 | + | 6.03875i | −1.51217 | + | 0.328952i | −0.890738 | − | 0.454518i | \(-0.849812\pi\) |
−0.621430 | + | 0.783470i | \(0.713448\pi\) | |||||||
\(338\) | 4.00653 | − | 7.33741i | 0.217926 | − | 0.399102i | ||||
\(339\) | −0.891322 | + | 6.19928i | −0.0484100 | + | 0.336699i | ||||
\(340\) | −1.08407 | + | 10.4330i | −0.0587921 | + | 0.565810i | ||||
\(341\) | −8.29600 | + | 1.19278i | −0.449254 | + | 0.0645929i | ||||
\(342\) | 0.248105 | − | 1.14052i | 0.0134160 | − | 0.0616723i | ||||
\(343\) | 18.5532 | − | 1.32695i | 1.00178 | − | 0.0716486i | ||||
\(344\) | 0.311903 | 0.0168167 | ||||||||
\(345\) | 5.02927 | + | 9.47135i | 0.270767 | + | 0.509920i | ||||
\(346\) | 2.00688 | 0.107891 | ||||||||
\(347\) | −10.8188 | + | 0.773779i | −0.580786 | + | 0.0415387i | −0.358642 | − | 0.933475i | \(-0.616760\pi\) |
−0.222144 | + | 0.975014i | \(0.571306\pi\) | |||||||
\(348\) | −0.418478 | + | 1.92371i | −0.0224327 | + | 0.103122i | ||||
\(349\) | −10.7522 | + | 1.54593i | −0.575552 | + | 0.0827518i | −0.423943 | − | 0.905689i | \(-0.639354\pi\) |
−0.151608 | + | 0.988441i | \(0.548445\pi\) | |||||||
\(350\) | 10.5996 | + | 7.81751i | 0.566573 | + | 0.417864i | ||||
\(351\) | −0.657735 | + | 4.57465i | −0.0351073 | + | 0.244177i | ||||
\(352\) | −2.16850 | + | 3.97131i | −0.115581 | + | 0.211671i | ||||
\(353\) | 15.8844 | − | 3.45543i | 0.845440 | − | 0.183914i | 0.231075 | − | 0.972936i | \(-0.425776\pi\) |
0.614365 | + | 0.789022i | \(0.289412\pi\) | |||||||
\(354\) | −2.95132 | − | 1.34782i | −0.156861 | − | 0.0716360i | ||||
\(355\) | −24.9515 | − | 0.802126i | −1.32429 | − | 0.0425724i | ||||
\(356\) | −10.7100 | + | 9.28028i | −0.567630 | + | 0.491854i | ||||
\(357\) | −0.881498 | + | 12.3250i | −0.0466538 | + | 0.652306i | ||||
\(358\) | −14.3725 | + | 7.84797i | −0.759609 | + | 0.414778i | ||||
\(359\) | 4.16390 | − | 9.11768i | 0.219762 | − | 0.481213i | −0.767352 | − | 0.641226i | \(-0.778426\pi\) |
0.987115 | + | 0.160013i | \(0.0511536\pi\) | |||||||
\(360\) | 1.00802 | + | 1.99597i | 0.0531274 | + | 0.105197i | ||||
\(361\) | 16.9232 | − | 4.96910i | 0.890695 | − | 0.261532i | ||||
\(362\) | 5.36977 | + | 7.17317i | 0.282229 | + | 0.377013i | ||||
\(363\) | −8.87635 | − | 3.31071i | −0.465888 | − | 0.173767i | ||||
\(364\) | −1.73256 | − | 12.0502i | −0.0908106 | − | 0.631601i | ||||
\(365\) | 0.0750280 | + | 1.90990i | 0.00392715 | + | 0.0999689i | ||||
\(366\) | −10.5645 | − | 9.15417i | −0.552214 | − | 0.478496i | ||||
\(367\) | 0.654177 | − | 0.654177i | 0.0341478 | − | 0.0341478i | −0.689827 | − | 0.723974i | \(-0.742313\pi\) |
0.723974 | + | 0.689827i | \(0.242313\pi\) | |||||||
\(368\) | −1.44507 | − | 4.57294i | −0.0753296 | − | 0.238381i | ||||
\(369\) | − | 9.72072i | − | 0.506041i | ||||||
\(370\) | −11.6609 | + | 23.5044i | −0.606220 | + | 1.22193i | ||||
\(371\) | 19.4806 | − | 12.5194i | 1.01138 | − | 0.649976i | ||||
\(372\) | 1.11005 | − | 1.48285i | 0.0575534 | − | 0.0768823i | ||||
\(373\) | 11.3662 | − | 30.4739i | 0.588518 | − | 1.57788i | −0.211161 | − | 0.977451i | \(-0.567724\pi\) |
0.799679 | − | 0.600427i | \(-0.205003\pi\) | |||||||
\(374\) | 21.0093 | + | 3.02068i | 1.08637 | + | 0.156196i | ||||
\(375\) | −2.88062 | − | 10.8029i | −0.148755 | − | 0.557858i | ||||
\(376\) | 4.55721 | + | 2.92874i | 0.235020 | + | 0.151038i | ||||
\(377\) | −8.52505 | + | 3.17968i | −0.439062 | + | 0.163762i | ||||
\(378\) | 1.26240 | + | 2.31192i | 0.0649309 | + | 0.118912i | ||||
\(379\) | −18.0203 | − | 20.7966i | −0.925642 | − | 1.06825i | −0.997488 | − | 0.0708316i | \(-0.977435\pi\) |
0.0718468 | − | 0.997416i | \(-0.477111\pi\) | |||||||
\(380\) | 1.48085 | − | 2.14914i | 0.0759661 | − | 0.110249i | ||||
\(381\) | −6.76829 | − | 1.98735i | −0.346750 | − | 0.101815i | ||||
\(382\) | 2.72312 | + | 7.30097i | 0.139327 | + | 0.373550i | ||||
\(383\) | −7.19431 | − | 33.0717i | −0.367612 | − | 1.68989i | −0.674608 | − | 0.738176i | \(-0.735688\pi\) |
0.306996 | − | 0.951711i | \(-0.400676\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 16.6488 | − | 20.8113i | 0.848503 | − | 1.06064i | ||||
\(386\) | −1.95489 | − | 4.28062i | −0.0995014 | − | 0.217878i | ||||
\(387\) | −0.249691 | − | 0.186916i | −0.0126925 | − | 0.00950149i | ||||
\(388\) | 9.77798 | + | 2.12707i | 0.496402 | + | 0.107986i | ||||
\(389\) | 6.61191 | − | 7.63055i | 0.335237 | − | 0.386884i | −0.562955 | − | 0.826488i | \(-0.690335\pi\) |
0.898192 | + | 0.439603i | \(0.144881\pi\) | |||||||
\(390\) | −5.24164 | + | 8.90648i | −0.265421 | + | 0.450997i | ||||
\(391\) | −17.7298 | + | 13.8477i | −0.896636 | + | 0.700311i | ||||
\(392\) | 0.0434097 | + | 0.0434097i | 0.00219252 | + | 0.00219252i | ||||
\(393\) | −0.897407 | − | 12.5474i | −0.0452682 | − | 0.632932i | ||||
\(394\) | −4.26883 | − | 6.64243i | −0.215061 | − | 0.334641i | ||||
\(395\) | −5.40707 | − | 12.9234i | −0.272059 | − | 0.650245i | ||||
\(396\) | 4.11589 | − | 1.87966i | 0.206831 | − | 0.0944566i | ||||
\(397\) | −25.5806 | + | 19.1494i | −1.28385 | + | 0.961081i | −0.283856 | + | 0.958867i | \(0.591614\pi\) |
−0.999998 | + | 0.00221370i | \(0.999295\pi\) | |||||||
\(398\) | 14.0565 | + | 7.67545i | 0.704590 | + | 0.384735i | ||||
\(399\) | 1.66222 | − | 2.58647i | 0.0832151 | − | 0.129485i | ||||
\(400\) | 0.392231 | + | 4.98459i | 0.0196116 | + | 0.249230i | ||||
\(401\) | −1.37408 | + | 4.67969i | −0.0686183 | + | 0.233693i | −0.986661 | − | 0.162789i | \(-0.947951\pi\) |
0.918043 | + | 0.396482i | \(0.129769\pi\) | |||||||
\(402\) | 11.7673 | + | 0.841611i | 0.586898 | + | 0.0419758i | ||||
\(403\) | 8.53900 | + | 0.610721i | 0.425358 | + | 0.0304222i | ||||
\(404\) | −4.81979 | + | 16.4147i | −0.239793 | + | 0.816661i | ||||
\(405\) | 0.389177 | − | 2.20194i | 0.0193383 | − | 0.109415i | ||||
\(406\) | −2.80366 | + | 4.36258i | −0.139143 | + | 0.216511i | ||||
\(407\) | 46.5992 | + | 25.4451i | 2.30984 | + | 1.26127i | ||||
\(408\) | −3.75527 | + | 2.81116i | −0.185913 | + | 0.139173i | ||||
\(409\) | −11.4633 | + | 5.23509i | −0.566822 | + | 0.258859i | −0.678148 | − | 0.734925i | \(-0.737217\pi\) |
0.111327 | + | 0.993784i | \(0.464490\pi\) | |||||||
\(410\) | 8.24647 | − | 20.1111i | 0.407264 | − | 0.993218i | ||||
\(411\) | −8.04624 | − | 12.5202i | −0.396892 | − | 0.617576i | ||||
\(412\) | 1.01142 | + | 14.1415i | 0.0498289 | + | 0.696700i | ||||
\(413\) | −6.04327 | − | 6.04327i | −0.297370 | − | 0.297370i | ||||
\(414\) | −1.58362 | + | 4.52683i | −0.0778307 | + | 0.222481i | ||||
\(415\) | −19.1726 | − | 11.2834i | −0.941144 | − | 0.553882i | ||||
\(416\) | 3.02656 | − | 3.49284i | 0.148389 | − | 0.171251i | ||||
\(417\) | −0.604242 | − | 0.131445i | −0.0295899 | − | 0.00643688i | ||||
\(418\) | −4.22790 | − | 3.16497i | −0.206794 | − | 0.154804i | ||||
\(419\) | 0.511535 | + | 1.12011i | 0.0249901 | + | 0.0547208i | 0.921715 | − | 0.387867i | \(-0.126788\pi\) |
−0.896725 | + | 0.442587i | \(0.854061\pi\) | |||||||
\(420\) | 0.650486 | + | 5.85405i | 0.0317405 | + | 0.285648i | ||||
\(421\) | −2.89748 | − | 9.86790i | −0.141214 | − | 0.480932i | 0.858265 | − | 0.513207i | \(-0.171543\pi\) |
−0.999479 | + | 0.0322753i | \(0.989725\pi\) | |||||||
\(422\) | 0.450117 | + | 2.06915i | 0.0219113 | + | 0.100725i | ||||
\(423\) | −1.89310 | − | 5.07561i | −0.0920459 | − | 0.246784i | ||||
\(424\) | 8.43492 | + | 2.47672i | 0.409636 | + | 0.120280i | ||||
\(425\) | 21.2650 | − | 9.89518i | 1.03151 | − | 0.479987i | ||||
\(426\) | −7.31113 | − | 8.43750i | −0.354226 | − | 0.408798i | ||||
\(427\) | −17.6469 | − | 32.3178i | −0.853992 | − | 1.56397i | ||||
\(428\) | 0.425825 | − | 0.158825i | 0.0205830 | − | 0.00767708i | ||||
\(429\) | 17.5924 | + | 11.3060i | 0.849370 | + | 0.545857i | ||||
\(430\) | −0.358016 | − | 0.598533i | −0.0172651 | − | 0.0288638i | ||||
\(431\) | 20.5071 | + | 2.94848i | 0.987794 | + | 0.142023i | 0.617229 | − | 0.786783i | \(-0.288255\pi\) |
0.370565 | + | 0.928807i | \(0.379164\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | 2.47490 | − | 3.30608i | 0.118936 | − | 0.158880i | −0.737122 | − | 0.675760i | \(-0.763816\pi\) |
0.856058 | + | 0.516880i | \(0.172907\pi\) | |||||||
\(434\) | 4.10466 | − | 2.63791i | 0.197030 | − | 0.126624i | ||||
\(435\) | 4.17189 | − | 1.40507i | 0.200027 | − | 0.0673681i | ||||
\(436\) | 3.29933i | 0.158009i | ||||||||
\(437\) | 5.52323 | − | 0.909906i | 0.264212 | − | 0.0435267i | ||||
\(438\) | −0.604430 | + | 0.604430i | −0.0288808 | + | 0.0288808i | ||||
\(439\) | 7.81634 | + | 6.77289i | 0.373053 | + | 0.323253i | 0.821129 | − | 0.570743i | \(-0.193345\pi\) |
−0.448075 | + | 0.893996i | \(0.647890\pi\) | |||||||
\(440\) | 10.1099 | − | 0.397155i | 0.481972 | − | 0.0189336i | ||||
\(441\) | −0.00873679 | − | 0.0607657i | −0.000416038 | − | 0.00289361i | ||||
\(442\) | −20.3130 | − | 7.57636i | −0.966191 | − | 0.360371i | ||||
\(443\) | 12.2820 | + | 16.4068i | 0.583534 | + | 0.779510i | 0.991022 | − | 0.133701i | \(-0.0426860\pi\) |
−0.407488 | + | 0.913211i | \(0.633595\pi\) | |||||||
\(444\) | −11.2587 | + | 3.30584i | −0.534313 | + | 0.156888i | ||||
\(445\) | 30.1020 | + | 9.89991i | 1.42697 | + | 0.469301i | ||||
\(446\) | −3.26406 | + | 7.14729i | −0.154558 | + | 0.338434i | ||||
\(447\) | −15.3387 | + | 8.37557i | −0.725496 | + | 0.396151i | ||||
\(448\) | 0.187916 | − | 2.62741i | 0.00887821 | − | 0.124134i | ||||
\(449\) | −2.94267 | + | 2.54984i | −0.138873 | + | 0.120334i | −0.721527 | − | 0.692386i | \(-0.756560\pi\) |
0.582654 | + | 0.812720i | \(0.302014\pi\) | |||||||
\(450\) | 2.67316 | − | 4.22543i | 0.126014 | − | 0.199189i | ||||
\(451\) | −40.0094 | − | 18.2717i | −1.88397 | − | 0.860380i | ||||
\(452\) | −6.11990 | + | 1.33130i | −0.287856 | + | 0.0626192i | ||||
\(453\) | 4.66794 | − | 8.54870i | 0.219319 | − | 0.401653i | ||||
\(454\) | −4.06755 | + | 28.2904i | −0.190900 | + | 1.32774i | ||||
\(455\) | −21.1353 | + | 17.1565i | −0.990837 | + | 0.804307i | ||||
\(456\) | 1.15532 | − | 0.166109i | 0.0541026 | − | 0.00777878i | ||||
\(457\) | −6.84106 | + | 31.4478i | −0.320011 | + | 1.47107i | 0.483272 | + | 0.875470i | \(0.339448\pi\) |
−0.803283 | + | 0.595597i | \(0.796915\pi\) | |||||||
\(458\) | −25.4202 | + | 1.81809i | −1.18781 | + | 0.0849537i | ||||
\(459\) | 4.69091 | 0.218953 | ||||||||
\(460\) | −7.11662 | + | 8.02207i | −0.331814 | + | 0.374031i | ||||
\(461\) | −23.9834 | −1.11702 | −0.558508 | − | 0.829499i | \(-0.688626\pi\) | ||||
−0.558508 | + | 0.829499i | \(0.688626\pi\) | |||||||
\(462\) | 11.8885 | − | 0.850280i | 0.553102 | − | 0.0395586i | ||||
\(463\) | −1.35808 | + | 6.24301i | −0.0631155 | + | 0.290137i | −0.997876 | − | 0.0651410i | \(-0.979250\pi\) |
0.934761 | + | 0.355278i | \(0.115614\pi\) | |||||||
\(464\) | −1.94866 | + | 0.280175i | −0.0904644 | + | 0.0130068i | ||||
\(465\) | −4.11972 | − | 0.428070i | −0.191047 | − | 0.0198513i | ||||
\(466\) | 1.42729 | − | 9.92700i | 0.0661178 | − | 0.459859i | ||||
\(467\) | 6.87683 | − | 12.5940i | 0.318222 | − | 0.582780i | −0.668785 | − | 0.743455i | \(-0.733186\pi\) |
0.987007 | + | 0.160676i | \(0.0513673\pi\) | |||||||
\(468\) | −4.51607 | + | 0.982411i | −0.208755 | + | 0.0454120i | ||||
\(469\) | 28.2674 | + | 12.9093i | 1.30527 | + | 0.596095i | ||||
\(470\) | 0.389205 | − | 12.1069i | 0.0179527 | − | 0.558449i | ||||
\(471\) | −10.4286 | + | 9.03642i | −0.480524 | + | 0.416376i | ||||
\(472\) | 0.231462 | − | 3.23626i | 0.0106539 | − | 0.148961i | ||||
\(473\) | −1.23866 | + | 0.676361i | −0.0569537 | + | 0.0310991i | ||||
\(474\) | 2.60257 | − | 5.69883i | 0.119540 | − | 0.261756i | ||||
\(475\) | −5.82393 | − | 0.374836i | −0.267220 | − | 0.0171987i | ||||
\(476\) | −11.8559 | + | 3.48121i | −0.543415 | + | 0.159561i | ||||
\(477\) | −5.26826 | − | 7.03757i | −0.241217 | − | 0.322228i | ||||
\(478\) | −5.51127 | − | 2.05560i | −0.252080 | − | 0.0940208i | ||||
\(479\) | 0.385202 | + | 2.67914i | 0.0176003 | + | 0.122413i | 0.996727 | − | 0.0808360i | \(-0.0257590\pi\) |
−0.979127 | + | 0.203249i | \(0.934850\pi\) | |||||||
\(480\) | −1.51786 | + | 1.64199i | −0.0692803 | + | 0.0749460i | ||||
\(481\) | −40.9849 | − | 35.5136i | −1.86875 | − | 1.61928i | ||||
\(482\) | 12.6082 | − | 12.6082i | 0.574290 | − | 0.574290i | ||||
\(483\) | −8.07553 | + | 9.71462i | −0.367449 | + | 0.442031i | ||||
\(484\) | − | 9.47367i | − | 0.430621i | ||||||
\(485\) | −7.14181 | − | 21.2052i | −0.324293 | − | 0.962879i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −7.14348 | + | 9.54258i | −0.323702 | + | 0.432415i | −0.932643 | − | 0.360800i | \(-0.882504\pi\) |
0.608941 | + | 0.793215i | \(0.291595\pi\) | |||||||
\(488\) | 4.88509 | − | 13.0974i | 0.221138 | − | 0.592893i | ||||
\(489\) | 14.3733 | + | 2.06657i | 0.649984 | + | 0.0934536i | ||||
\(490\) | 0.0334744 | − | 0.133130i | 0.00151222 | − | 0.00601418i | ||||
\(491\) | −10.3173 | − | 6.63055i | −0.465615 | − | 0.299232i | 0.286719 | − | 0.958015i | \(-0.407435\pi\) |
−0.752334 | + | 0.658782i | \(0.771072\pi\) | |||||||
\(492\) | 9.10783 | − | 3.39704i | 0.410613 | − | 0.153151i | ||||
\(493\) | 4.42587 | + | 8.10537i | 0.199331 | + | 0.365047i | ||||
\(494\) | 3.53259 | + | 4.07683i | 0.158939 | + | 0.183425i | ||||
\(495\) | −8.33142 | − | 5.74071i | −0.374469 | − | 0.258026i | ||||
\(496\) | 1.77728 | + | 0.521857i | 0.0798022 | + | 0.0234321i | ||||
\(497\) | −10.2772 | − | 27.5542i | −0.460995 | − | 1.23598i | ||||
\(498\) | −2.11479 | − | 9.72154i | −0.0947661 | − | 0.435633i | ||||
\(499\) | 8.40131 | + | 28.6122i | 0.376094 | + | 1.28086i | 0.902523 | + | 0.430641i | \(0.141712\pi\) |
−0.526429 | + | 0.850219i | \(0.676469\pi\) | |||||||
\(500\) | 9.11507 | − | 6.47422i | 0.407638 | − | 0.289536i | ||||
\(501\) | −0.0550565 | − | 0.120557i | −0.00245974 | − | 0.00538609i | ||||
\(502\) | −12.0651 | − | 9.03179i | −0.538490 | − | 0.403108i | ||||
\(503\) | −12.6183 | − | 2.74495i | −0.562623 | − | 0.122391i | −0.0777457 | − | 0.996973i | \(-0.524772\pi\) |
−0.484878 | + | 0.874582i | \(0.661136\pi\) | |||||||
\(504\) | −1.72498 | + | 1.99074i | −0.0768369 | + | 0.0886745i | ||||
\(505\) | 37.0317 | − | 9.59246i | 1.64789 | − | 0.426859i | ||||
\(506\) | 15.6552 | + | 15.0269i | 0.695960 | + | 0.668028i | ||||
\(507\) | −5.91142 | − | 5.91142i | −0.262535 | − | 0.262535i | ||||
\(508\) | −0.503228 | − | 7.03605i | −0.0223271 | − | 0.312174i | ||||
\(509\) | 19.9307 | + | 31.0127i | 0.883412 | + | 1.37462i | 0.926799 | + | 0.375557i | \(0.122549\pi\) |
−0.0433878 | + | 0.999058i | \(0.513815\pi\) | |||||||
\(510\) | 9.70500 | + | 3.97948i | 0.429744 | + | 0.176214i | ||||
\(511\) | −2.04816 | + | 0.935362i | −0.0906051 | + | 0.0413780i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | −1.02442 | − | 0.559377i | −0.0452294 | − | 0.0246971i | ||||
\(514\) | 11.4252 | − | 17.7780i | 0.503945 | − | 0.784154i | ||||
\(515\) | 25.9761 | − | 18.1731i | 1.14464 | − | 0.800801i | ||||
\(516\) | 0.0878732 | − | 0.299269i | 0.00386840 | − | 0.0131746i | ||||
\(517\) | −24.4490 | − | 1.74863i | −1.07527 | − | 0.0769046i | ||||
\(518\) | −30.8300 | − | 2.20500i | −1.35459 | − | 0.0968824i | ||||
\(519\) | 0.565405 | − | 1.92559i | 0.0248185 | − | 0.0845241i | ||||
\(520\) | −10.1767 | − | 1.79865i | −0.446277 | − | 0.0788762i | ||||
\(521\) | −15.8799 | + | 24.7096i | −0.695711 | + | 1.08255i | 0.296140 | + | 0.955144i | \(0.404300\pi\) |
−0.991851 | + | 0.127403i | \(0.959336\pi\) | |||||||
\(522\) | 1.72789 | + | 0.943498i | 0.0756276 | + | 0.0412958i | ||||
\(523\) | −7.85071 | + | 5.87697i | −0.343288 | + | 0.256982i | −0.756985 | − | 0.653433i | \(-0.773328\pi\) |
0.413697 | + | 0.910415i | \(0.364237\pi\) | |||||||
\(524\) | 11.4427 | − | 5.22569i | 0.499875 | − | 0.228285i | ||||
\(525\) | 10.4871 | − | 7.96780i | 0.457695 | − | 0.347743i | ||||
\(526\) | 12.2636 | + | 19.0826i | 0.534720 | + | 0.832041i | ||||
\(527\) | −0.619868 | − | 8.66689i | −0.0270019 | − | 0.377536i | ||||
\(528\) | 3.19951 | + | 3.19951i | 0.139241 | + | 0.139241i | ||||
\(529\) | −22.9807 | + | 0.941614i | −0.999162 | + | 0.0409398i | ||||
\(530\) | −4.92922 | − | 19.0293i | −0.214112 | − | 0.826578i | ||||
\(531\) | −2.12471 | + | 2.45205i | −0.0922046 | + | 0.106410i | ||||
\(532\) | 3.00427 | + | 0.653540i | 0.130252 | + | 0.0283346i | ||||
\(533\) | 35.9652 | + | 26.9232i | 1.55783 | + | 1.16618i | ||||
\(534\) | 5.88701 | + | 12.8907i | 0.254756 | + | 0.557837i | ||||
\(535\) | −0.793561 | − | 0.634841i | −0.0343086 | − | 0.0274466i | ||||
\(536\) | 3.32369 | + | 11.3194i | 0.143562 | + | 0.488926i | ||||
\(537\) | 3.48087 | + | 16.0013i | 0.150211 | + | 0.690508i | ||||
\(538\) | −7.47512 | − | 20.0416i | −0.322275 | − | 0.864054i | ||||
\(539\) | −0.266527 | − | 0.0782594i | −0.0114801 | − | 0.00337087i | ||||
\(540\) | 2.19911 | − | 0.404860i | 0.0946347 | − | 0.0174224i | ||||
\(541\) | 3.54518 | + | 4.09135i | 0.152419 | + | 0.175901i | 0.826824 | − | 0.562461i | \(-0.190145\pi\) |
−0.674405 | + | 0.738362i | \(0.735600\pi\) | |||||||
\(542\) | 1.41127 | + | 2.58456i | 0.0606194 | + | 0.111016i | ||||
\(543\) | 8.39544 | − | 3.13134i | 0.360283 | − | 0.134379i | ||||
\(544\) | −3.94625 | − | 2.53610i | −0.169194 | − | 0.108734i | ||||
\(545\) | 6.33133 | − | 3.78712i | 0.271204 | − | 0.162222i | ||||
\(546\) | −12.0502 | − | 1.73256i | −0.515700 | − | 0.0741465i | ||||
\(547\) | −2.78435 | + | 7.46514i | −0.119050 | + | 0.319186i | −0.982783 | − | 0.184764i | \(-0.940848\pi\) |
0.863733 | + | 0.503951i | \(0.168121\pi\) | |||||||
\(548\) | 8.91892 | − | 11.9143i | 0.380997 | − | 0.508953i | ||||
\(549\) | −11.7597 | + | 7.55752i | −0.501893 | + | 0.322547i | ||||
\(550\) | −12.3667 | − | 18.9448i | −0.527320 | − | 0.807809i | ||||
\(551\) | − | 2.29786i | − | 0.0978921i | ||||||
\(552\) | −4.79483 | + | 0.0981907i | −0.204081 | + | 0.00417927i | ||||
\(553\) | 11.6692 | − | 11.6692i | 0.496225 | − | 0.496225i | ||||
\(554\) | −19.9236 | − | 17.2639i | −0.846473 | − | 0.733473i | ||||
\(555\) | 19.2670 | + | 17.8105i | 0.817839 | + | 0.756013i | ||||
\(556\) | −0.0880038 | − | 0.612080i | −0.00373219 | − | 0.0259580i | ||||
\(557\) | −19.4621 | − | 7.25898i | −0.824634 | − | 0.307573i | −0.0985100 | − | 0.995136i | \(-0.531408\pi\) |
−0.726124 | + | 0.687563i | \(0.758680\pi\) | |||||||
\(558\) | −1.11005 | − | 1.48285i | −0.0469921 | − | 0.0627741i | ||||
\(559\) | 1.38313 | − | 0.406123i | 0.0585000 | − | 0.0171772i | ||||
\(560\) | −5.25763 | + | 2.65525i | −0.222175 | + | 0.112205i | ||||
\(561\) | 8.81733 | − | 19.3073i | 0.372268 | − | 0.815153i | ||||
\(562\) | −5.68203 | + | 3.10262i | −0.239682 | + | 0.130876i | ||||
\(563\) | −0.851538 | + | 11.9061i | −0.0358881 | + | 0.501781i | 0.947439 | + | 0.319936i | \(0.103661\pi\) |
−0.983327 | + | 0.181845i | \(0.941793\pi\) | |||||||
\(564\) | 4.09402 | − | 3.54749i | 0.172389 | − | 0.149376i | ||||
\(565\) | 9.57943 | + | 10.2158i | 0.403009 | + | 0.429782i | ||||
\(566\) | −23.4256 | − | 10.6981i | −0.984652 | − | 0.449675i | ||||
\(567\) | 2.57393 | − | 0.559923i | 0.108095 | − | 0.0235146i | ||||
\(568\) | 5.35053 | − | 9.79877i | 0.224503 | − | 0.411147i | ||||
\(569\) | 3.17428 | − | 22.0776i | 0.133073 | − | 0.925541i | −0.808444 | − | 0.588574i | \(-0.799690\pi\) |
0.941516 | − | 0.336967i | \(-0.109401\pi\) | |||||||
\(570\) | −1.64488 | − | 2.02635i | −0.0688965 | − | 0.0848745i | ||||
\(571\) | 9.69085 | − | 1.39333i | 0.405549 | − | 0.0583092i | 0.0634781 | − | 0.997983i | \(-0.479781\pi\) |
0.342071 | + | 0.939674i | \(0.388872\pi\) | |||||||
\(572\) | −4.44520 | + | 20.4342i | −0.185863 | + | 0.854398i | ||||
\(573\) | 7.77242 | − | 0.555895i | 0.324698 | − | 0.0232228i | ||||
\(574\) | 25.6056 | 1.06876 | ||||||||
\(575\) | 23.5629 | + | 4.44851i | 0.982641 | + | 0.185516i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 25.3476 | − | 1.81290i | 1.05524 | − | 0.0754719i | 0.467076 | − | 0.884217i | \(-0.345307\pi\) |
0.588159 | + | 0.808745i | \(0.299853\pi\) | |||||||
\(578\) | −1.06381 | + | 4.89027i | −0.0442488 | + | 0.203409i | ||||
\(579\) | −4.65798 | + | 0.669716i | −0.193579 | + | 0.0278324i | ||||
\(580\) | 2.77441 | + | 3.41783i | 0.115201 | + | 0.141918i | ||||
\(581\) | 3.72959 | − | 25.9399i | 0.154730 | − | 1.07617i | ||||
\(582\) | 4.79568 | − | 8.78263i | 0.198787 | − | 0.364052i | ||||
\(583\) | −38.8684 | + | 8.45530i | −1.60976 | + | 0.350183i | ||||
\(584\) | −0.777548 | − | 0.355094i | −0.0321752 | − | 0.0146939i | ||||
\(585\) | 7.06896 | + | 7.53856i | 0.292266 | + | 0.311681i | ||||
\(586\) | −17.1800 | + | 14.8865i | −0.709698 | + | 0.614957i | ||||
\(587\) | 1.14757 | − | 16.0452i | 0.0473654 | − | 0.662255i | −0.917203 | − | 0.398421i | \(-0.869558\pi\) |
0.964568 | − | 0.263834i | \(-0.0849871\pi\) | |||||||
\(588\) | 0.0538812 | − | 0.0294214i | 0.00222202 | − | 0.00121332i | ||||
\(589\) | −0.898132 | + | 1.96663i | −0.0370069 | + | 0.0810337i | ||||
\(590\) | −6.47597 | + | 3.27055i | −0.266611 | + | 0.134646i | ||||
\(591\) | −7.57603 | + | 2.22452i | −0.311636 | + | 0.0915047i | ||||
\(592\) | −7.03191 | − | 9.39353i | −0.289010 | − | 0.386072i | ||||
\(593\) | 8.78672 | + | 3.27728i | 0.360828 | + | 0.134582i | 0.523338 | − | 0.852125i | \(-0.324686\pi\) |
−0.162511 | + | 0.986707i | \(0.551959\pi\) | |||||||
\(594\) | −0.643944 | − | 4.47873i | −0.0264213 | − | 0.183764i | ||||
\(595\) | 20.2891 | + | 18.7553i | 0.831772 | + | 0.768892i | ||||
\(596\) | −13.2078 | − | 11.4446i | −0.541013 | − | 0.468791i | ||||
\(597\) | 11.3247 | − | 11.3247i | 0.463490 | − | 0.463490i | ||||
\(598\) | −12.3625 | − | 18.3970i | −0.505539 | − | 0.752309i | ||||
\(599\) | 31.6731i | 1.29413i | 0.762436 | + | 0.647064i | \(0.224003\pi\) | ||||
−0.762436 | + | 0.647064i | \(0.775997\pi\) | |||||||
\(600\) | 4.89319 | + | 1.02798i | 0.199763 | + | 0.0419670i | ||||
\(601\) | −27.5536 | + | 17.7076i | −1.12393 | + | 0.722309i | −0.964285 | − | 0.264865i | \(-0.914673\pi\) |
−0.159649 | + | 0.987174i | \(0.551036\pi\) | |||||||
\(602\) | 0.492361 | − | 0.657717i | 0.0200671 | − | 0.0268066i | ||||
\(603\) | 4.12274 | − | 11.0535i | 0.167891 | − | 0.450133i | ||||
\(604\) | 9.64098 | + | 1.38616i | 0.392286 | + | 0.0564022i | ||||
\(605\) | −18.1797 | + | 10.8743i | −0.739110 | + | 0.442103i | ||||
\(606\) | 14.3919 | + | 9.24910i | 0.584630 | + | 0.375719i | ||||
\(607\) | −17.2095 | + | 6.41880i | −0.698511 | + | 0.260531i | −0.673533 | − | 0.739157i | \(-0.735224\pi\) |
−0.0249775 | + | 0.999688i | \(0.507951\pi\) | |||||||
\(608\) | 0.559377 | + | 1.02442i | 0.0226857 | + | 0.0415458i | ||||
\(609\) | 3.39598 | + | 3.91917i | 0.137612 | + | 0.158813i | ||||
\(610\) | −30.7410 | + | 5.65946i | −1.24466 | + | 0.229145i | ||||
\(611\) | 24.0223 | + | 7.05358i | 0.971838 | + | 0.285357i | ||||
\(612\) | 1.63931 | + | 4.39515i | 0.0662650 | + | 0.177663i | ||||
\(613\) | 7.75578 | + | 35.6527i | 0.313253 | + | 1.44000i | 0.817244 | + | 0.576292i | \(0.195501\pi\) |
−0.503991 | + | 0.863709i | \(0.668135\pi\) | |||||||
\(614\) | 5.16681 | + | 17.5965i | 0.208515 | + | 0.710138i | ||||
\(615\) | −16.9732 | − | 13.5784i | −0.684425 | − | 0.547534i | ||||
\(616\) | 4.95127 | + | 10.8418i | 0.199492 | + | 0.436827i | ||||
\(617\) | 11.5395 | + | 8.63835i | 0.464562 | + | 0.347767i | 0.805778 | − | 0.592218i | \(-0.201748\pi\) |
−0.341215 | + | 0.939985i | \(0.610839\pi\) | |||||||
\(618\) | 13.8536 | + | 3.01366i | 0.557273 | + | 0.121227i | ||||
\(619\) | −6.05581 | + | 6.98877i | −0.243403 | + | 0.280903i | −0.864286 | − | 0.503001i | \(-0.832229\pi\) |
0.620882 | + | 0.783904i | \(0.286775\pi\) | |||||||
\(620\) | −1.03861 | − | 4.00956i | −0.0417117 | − | 0.161028i | ||||
\(621\) | 3.89730 | + | 2.79483i | 0.156393 | + | 0.112153i | ||||
\(622\) | 15.4471 | + | 15.4471i | 0.619371 | + | 0.619371i | ||||
\(623\) | 2.66303 | + | 37.2341i | 0.106692 | + | 1.49175i | ||||
\(624\) | −2.49867 | − | 3.88801i | −0.100027 | − | 0.155645i | ||||
\(625\) | −22.8865 | − | 10.0602i | −0.915461 | − | 0.402407i | ||||
\(626\) | 2.60959 | − | 1.19176i | 0.104300 | − | 0.0476324i | ||||
\(627\) | −4.22790 | + | 3.16497i | −0.168846 | + | 0.126397i | ||||
\(628\) | −12.1111 | − | 6.61316i | −0.483285 | − | 0.263894i | ||||
\(629\) | −29.7585 | + | 46.3051i | −1.18655 | + | 1.84631i | ||||
\(630\) | 5.80018 | + | 1.02514i | 0.231085 | + | 0.0408425i | ||||
\(631\) | 4.92393 | − | 16.7694i | 0.196018 | − | 0.667577i | −0.801553 | − | 0.597924i | \(-0.795992\pi\) |
0.997571 | − | 0.0696534i | \(-0.0221893\pi\) | |||||||
\(632\) | 6.24902 | + | 0.446939i | 0.248573 | + | 0.0177783i | ||||
\(633\) | 2.11215 | + | 0.151064i | 0.0839505 | + | 0.00600425i | ||||
\(634\) | −1.09291 | + | 3.72211i | −0.0434050 | + | 0.147824i | ||||
\(635\) | −12.9244 | + | 9.04197i | −0.512888 | + | 0.358820i | ||||
\(636\) | 4.75278 | − | 7.39547i | 0.188460 | − | 0.293250i | ||||
\(637\) | 0.249022 | + | 0.135976i | 0.00986662 | + | 0.00538758i | ||||
\(638\) | 7.13118 | − | 5.33833i | 0.282326 | − | 0.211347i | ||||
\(639\) | −10.1555 | + | 4.63786i | −0.401746 | + | 0.183471i | ||||
\(640\) | −2.06889 | − | 0.848339i | −0.0817802 | − | 0.0335335i | ||||
\(641\) | 17.3208 | + | 26.9518i | 0.684132 | + | 1.06453i | 0.993527 | + | 0.113597i | \(0.0362372\pi\) |
−0.309395 | + | 0.950934i | \(0.600126\pi\) | |||||||
\(642\) | −0.0324222 | − | 0.453322i | −0.00127960 | − | 0.0178912i | ||||
\(643\) | 14.6215 | + | 14.6215i | 0.576617 | + | 0.576617i | 0.933970 | − | 0.357352i | \(-0.116320\pi\) |
−0.357352 | + | 0.933970i | \(0.616320\pi\) | |||||||
\(644\) | −11.9242 | − | 4.17145i | −0.469880 | − | 0.164378i | ||||
\(645\) | −0.675153 | + | 0.174887i | −0.0265841 | + | 0.00688619i | ||||
\(646\) | 3.58550 | − | 4.13789i | 0.141070 | − | 0.162803i | ||||
\(647\) | 31.3444 | + | 6.81856i | 1.23228 | + | 0.268065i | 0.781120 | − | 0.624381i | \(-0.214649\pi\) |
0.451155 | + | 0.892446i | \(0.351012\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | 6.09861 | + | 13.3541i | 0.239391 | + | 0.524194i | ||||
\(650\) | 8.22968 | + | 21.5933i | 0.322795 | + | 0.846961i | ||||
\(651\) | −1.37464 | − | 4.68158i | −0.0538762 | − | 0.183485i | ||||
\(652\) | 3.08669 | + | 14.1893i | 0.120884 | + | 0.555695i | ||||
\(653\) | 2.01249 | + | 5.39568i | 0.0787546 | + | 0.211149i | 0.970360 | − | 0.241664i | \(-0.0776931\pi\) |
−0.891605 | + | 0.452813i | \(0.850420\pi\) | |||||||
\(654\) | 3.16569 | + | 0.929529i | 0.123788 | + | 0.0363475i | ||||
\(655\) | −23.1623 | − | 15.9599i | −0.905028 | − | 0.623604i | ||||
\(656\) | 6.36572 | + | 7.34643i | 0.248540 | + | 0.286830i | ||||
\(657\) | 0.409659 | + | 0.750234i | 0.0159823 | + | 0.0292694i | ||||
\(658\) | 13.3698 | − | 4.98667i | 0.521208 | − | 0.194401i | ||||
\(659\) | 3.98564 | + | 2.56142i | 0.155258 | + | 0.0997786i | 0.615963 | − | 0.787775i | \(-0.288767\pi\) |
−0.460705 | + | 0.887553i | \(0.652403\pi\) | |||||||
\(660\) | 2.46723 | − | 9.81229i | 0.0960367 | − | 0.381943i | ||||
\(661\) | −8.65317 | − | 1.24414i | −0.336569 | − | 0.0483913i | −0.0280417 | − | 0.999607i | \(-0.508927\pi\) |
−0.308528 | + | 0.951215i | \(0.599836\pi\) | |||||||
\(662\) | 6.76745 | − | 18.1442i | 0.263024 | − | 0.705196i | ||||
\(663\) | −12.9923 | + | 17.3557i | −0.504579 | + | 0.674039i | ||||
\(664\) | 8.36955 | − | 5.37878i | 0.324801 | − | 0.208737i | ||||
\(665\) | −2.19431 | − | 6.51528i | −0.0850919 | − | 0.252652i | ||||
\(666\) | 11.7340i | 0.454682i | ||||||||
\(667\) | −1.15205 | + | 9.37101i | −0.0446076 | + | 0.362847i | ||||
\(668\) | 0.0937155 | − | 0.0937155i | 0.00362596 | − | 0.00362596i | ||||
\(669\) | 5.93818 | + | 5.14546i | 0.229583 | + | 0.198935i | ||||
\(670\) | 17.9066 | − | 19.3710i | 0.691793 | − | 0.748368i | ||||
\(671\) | 9.00157 | + | 62.6073i | 0.347502 | + | 2.41693i | ||||
\(672\) | −2.46804 | − | 0.920532i | −0.0952068 | − | 0.0355103i | ||||
\(673\) | −13.9490 | − | 18.6337i | −0.537696 | − | 0.718278i | 0.446614 | − | 0.894727i | \(-0.352630\pi\) |
−0.984310 | + | 0.176449i | \(0.943539\pi\) | |||||||
\(674\) | −27.2582 | + | 8.00372i | −1.04995 | + | 0.308292i | ||||
\(675\) | −3.30115 | − | 3.75532i | −0.127061 | − | 0.144542i | ||||
\(676\) | 3.47287 | − | 7.60454i | 0.133572 | − | 0.292482i | ||||
\(677\) | 5.02226 | − | 2.74236i | 0.193021 | − | 0.105398i | −0.379832 | − | 0.925055i | \(-0.624018\pi\) |
0.572853 | + | 0.819658i | \(0.305836\pi\) | |||||||
\(678\) | −0.446800 | + | 6.24707i | −0.0171592 | + | 0.239917i | ||||
\(679\) | 19.9206 | − | 17.2613i | 0.764484 | − | 0.662429i | ||||
\(680\) | −0.337027 | + | 10.4838i | −0.0129244 | + | 0.402035i | ||||
\(681\) | 25.9985 | + | 11.8731i | 0.996265 | + | 0.454979i | ||||
\(682\) | −8.18977 | + | 1.78158i | −0.313603 | + | 0.0682201i | ||||
\(683\) | 8.50666 | − | 15.5788i | 0.325498 | − | 0.596105i | −0.662772 | − | 0.748821i | \(-0.730620\pi\) |
0.988270 | + | 0.152716i | \(0.0488020\pi\) | |||||||
\(684\) | 0.166109 | − | 1.15532i | 0.00635135 | − | 0.0441746i | ||||
\(685\) | −33.1007 | − | 3.43942i | −1.26471 | − | 0.131413i | ||||
\(686\) | 18.4113 | − | 2.64714i | 0.702945 | − | 0.101068i | ||||
\(687\) | −5.41725 | + | 24.9027i | −0.206681 | + | 0.950098i | ||||
\(688\) | 0.311108 | − | 0.0222509i | 0.0118609 | − | 0.000848307i | ||||
\(689\) | 40.6293 | 1.54785 | ||||||||
\(690\) | 5.69214 | + | 9.08843i | 0.216696 | + | 0.345991i | ||||
\(691\) | 3.65274 | 0.138957 | 0.0694783 | − | 0.997583i | \(-0.477867\pi\) | ||||
0.0694783 | + | 0.997583i | \(0.477867\pi\) | |||||||
\(692\) | 2.00177 | − | 0.143169i | 0.0760959 | − | 0.00544249i | ||||
\(693\) | 2.53353 | − | 11.6465i | 0.0962409 | − | 0.442412i | ||||
\(694\) | −10.7361 | + | 1.54362i | −0.407536 | + | 0.0585949i | ||||
\(695\) | −1.07355 | + | 0.871449i | −0.0407221 | + | 0.0330559i | ||||
\(696\) | −0.280175 | + | 1.94866i | −0.0106200 | + | 0.0738639i | ||||
\(697\) | 21.8533 | − | 40.0213i | 0.827752 | − | 1.51592i | ||||
\(698\) | −10.6145 | + | 2.30905i | −0.401765 | + | 0.0873986i | ||||
\(699\) | −9.12277 | − | 4.16623i | −0.345055 | − | 0.157581i | ||||
\(700\) | 11.1303 | + | 7.04143i | 0.420686 | + | 0.266141i | ||||
\(701\) | 11.5419 | − | 10.0011i | 0.435931 | − | 0.377736i | −0.409069 | − | 0.912504i | \(-0.634146\pi\) |
0.844999 | + | 0.534768i | \(0.179601\pi\) | |||||||
\(702\) | −0.329708 | + | 4.60991i | −0.0124440 | + | 0.173990i | ||||
\(703\) | 12.0206 | − | 6.56372i | 0.453364 | − | 0.247555i | ||||
\(704\) | −1.87966 | + | 4.11589i | −0.0708425 | + | 0.155123i | ||||
\(705\) | −11.5068 | − | 3.78434i | −0.433372 | − | 0.142527i | ||||
\(706\) | 15.5974 | − | 4.57981i | 0.587016 | − | 0.172363i | ||||
\(707\) | 27.0057 | + | 36.0754i | 1.01565 | + | 1.35675i | ||||
\(708\) | −3.03995 | − | 1.13384i | −0.114248 | − | 0.0426125i | ||||
\(709\) | 5.57636 | + | 38.7844i | 0.209425 | + | 1.45658i | 0.775040 | + | 0.631912i | \(0.217729\pi\) |
−0.565616 | + | 0.824669i | \(0.691361\pi\) | |||||||
\(710\) | −24.9451 | + | 0.979937i | −0.936175 | + | 0.0367764i | ||||
\(711\) | −4.73476 | − | 4.10269i | −0.177567 | − | 0.153863i | ||||
\(712\) | −10.0207 | + | 10.0207i | −0.375541 | + | 0.375541i | ||||
\(713\) | 4.64870 | − | 7.56994i | 0.174095 | − | 0.283496i | ||||
\(714\) | 12.3564i | 0.462428i | ||||||||
\(715\) | 44.3151 | − | 14.9251i | 1.65729 | − | 0.558168i | ||||
\(716\) | −13.7760 | + | 8.85329i | −0.514833 | + | 0.330863i | ||||
\(717\) | −3.52504 | + | 4.70890i | −0.131645 | + | 0.175857i | ||||
\(718\) | 3.50285 | − | 9.39150i | 0.130725 | − | 0.350488i | ||||
\(719\) | 49.4765 | + | 7.11365i | 1.84516 | + | 0.265294i | 0.974139 | − | 0.225949i | \(-0.0725483\pi\) |
0.871022 | + | 0.491243i | \(0.163457\pi\) | |||||||
\(720\) | 1.14784 | + | 1.91897i | 0.0427776 | + | 0.0715159i | ||||
\(721\) | 31.4170 | + | 20.1905i | 1.17003 | + | 0.751934i | ||||
\(722\) | 16.5256 | − | 6.16373i | 0.615019 | − | 0.229390i | ||||
\(723\) | −8.54537 | − | 15.6497i | −0.317806 | − | 0.582018i | ||||
\(724\) | 5.86781 | + | 6.77182i | 0.218076 | + | 0.251673i | ||||
\(725\) | 3.37413 | − | 9.24715i | 0.125312 | − | 0.343431i | ||||
\(726\) | −9.08992 | − | 2.66904i | −0.337358 | − | 0.0990574i | ||||
\(727\) | 3.35725 | + | 9.00113i | 0.124513 | + | 0.333833i | 0.984219 | − | 0.176957i | \(-0.0566254\pi\) |
−0.859705 | + | 0.510791i | \(0.829353\pi\) | |||||||
\(728\) | −2.58779 | − | 11.8959i | −0.0959099 | − | 0.440891i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | 0.211088 | + | 1.89969i | 0.00781271 | + | 0.0703105i | ||||
\(731\) | −0.607797 | − | 1.33089i | −0.0224802 | − | 0.0492248i | ||||
\(732\) | −11.1906 | − | 8.37719i | −0.413617 | − | 0.309630i | ||||
\(733\) | 8.82527 | + | 1.91982i | 0.325969 | + | 0.0709102i | 0.372572 | − | 0.928003i | \(-0.378476\pi\) |
−0.0466032 | + | 0.998913i | \(0.514840\pi\) | |||||||
\(734\) | 0.605842 | − | 0.699179i | 0.0223620 | − | 0.0258072i | ||||
\(735\) | −0.118306 | − | 0.0696254i | −0.00436379 | − | 0.00256817i | ||||
\(736\) | −1.76762 | − | 4.45820i | −0.0651553 | − | 0.164331i | ||||
\(737\) | −37.7456 | − | 37.7456i | −1.39038 | − | 1.39038i | ||||
\(738\) | −0.693468 | − | 9.69595i | −0.0255269 | − | 0.356913i | ||||
\(739\) | 10.2985 | + | 16.0248i | 0.378836 | + | 0.589480i | 0.977349 | − | 0.211633i | \(-0.0678780\pi\) |
−0.598513 | + | 0.801113i | \(0.704242\pi\) | |||||||
\(740\) | −9.95439 | + | 24.2763i | −0.365931 | + | 0.892416i | ||||
\(741\) | 4.90693 | − | 2.24092i | 0.180261 | − | 0.0823223i | ||||
\(742\) | 18.5378 | − | 13.8772i | 0.680545 | − | 0.509450i | ||||
\(743\) | 25.1199 | + | 13.7165i | 0.921560 | + | 0.503210i | 0.868670 | − | 0.495390i | \(-0.164975\pi\) |
0.0528899 | + | 0.998600i | \(0.483157\pi\) | |||||||
\(744\) | 1.00144 | − | 1.55826i | 0.0367144 | − | 0.0571287i | ||||
\(745\) | −6.80142 | + | 38.4821i | −0.249185 | + | 1.40987i | ||||
\(746\) | 9.16323 | − | 31.2071i | 0.335490 | − | 1.14257i | ||||
\(747\) | −9.92355 | − | 0.709747i | −0.363084 | − | 0.0259683i | ||||
\(748\) | 21.1713 | + | 1.51420i | 0.774099 | + | 0.0553646i | ||||
\(749\) | 0.337278 | − | 1.14866i | 0.0123239 | − | 0.0419713i | ||||
\(750\) | −3.64395 | − | 10.5698i | −0.133058 | − | 0.385956i | ||||
\(751\) | −25.7265 | + | 40.0312i | −0.938773 | + | 1.46076i | −0.0519508 | + | 0.998650i | \(0.516544\pi\) |
−0.886823 | + | 0.462110i | \(0.847092\pi\) | |||||||
\(752\) | 4.75453 | + | 2.59617i | 0.173380 | + | 0.0946725i | ||||
\(753\) | −12.0651 | + | 9.03179i | −0.439675 | + | 0.329137i | ||||
\(754\) | −8.27649 | + | 3.77975i | −0.301412 | + | 0.137650i | ||||
\(755\) | −8.40633 | − | 20.0919i | −0.305938 | − | 0.731218i | ||||
\(756\) | 1.42411 | + | 2.21597i | 0.0517946 | + | 0.0805939i | ||||
\(757\) | 0.501993 | + | 7.01877i | 0.0182452 | + | 0.255102i | 0.998386 | + | 0.0567973i | \(0.0180889\pi\) |
−0.980140 | + | 0.198304i | \(0.936457\pi\) | |||||||
\(758\) | −19.4580 | − | 19.4580i | −0.706747 | − | 0.706747i | ||||
\(759\) | 18.8288 | − | 10.7875i | 0.683442 | − | 0.391562i | ||||
\(760\) | 1.32376 | − | 2.24931i | 0.0480179 | − | 0.0815910i | ||||
\(761\) | 14.7426 | − | 17.0139i | 0.534419 | − | 0.616752i | −0.422763 | − | 0.906240i | \(-0.638940\pi\) |
0.957182 | + | 0.289488i | \(0.0934850\pi\) | |||||||
\(762\) | −6.89282 | − | 1.49944i | −0.249700 | − | 0.0543190i | ||||
\(763\) | 6.95739 | + | 5.20823i | 0.251874 | + | 0.188551i | ||||
\(764\) | 3.23703 | + | 7.08811i | 0.117112 | + | 0.256439i | ||||
\(765\) | 6.55250 | − | 8.19073i | 0.236906 | − | 0.296136i | ||||
\(766\) | −9.53529 | − | 32.4742i | −0.344524 | − | 1.17334i | ||||
\(767\) | −3.18745 | − | 14.6525i | −0.115092 | − | 0.529071i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | 32.2977 | + | 9.48346i | 1.16468 | + | 0.341982i | 0.806252 | − | 0.591573i | \(-0.201493\pi\) |
0.358433 | + | 0.933555i | \(0.383311\pi\) | |||||||
\(770\) | 15.1218 | − | 21.9460i | 0.544950 | − | 0.790879i | ||||
\(771\) | −13.8390 | − | 15.9711i | −0.498400 | − | 0.575184i | ||||
\(772\) | −2.25529 | − | 4.13025i | −0.0811695 | − | 0.148651i | ||||
\(773\) | −21.8282 | + | 8.14149i | −0.785105 | + | 0.292829i | −0.709866 | − | 0.704336i | \(-0.751245\pi\) |
−0.0752390 | + | 0.997166i | \(0.523972\pi\) | |||||||
\(774\) | −0.262389 | − | 0.168627i | −0.00943139 | − | 0.00606119i | ||||
\(775\) | −6.50207 | + | 6.59542i | −0.233561 | + | 0.236914i | ||||
\(776\) | 9.90481 | + | 1.42410i | 0.355562 | + | 0.0511221i | ||||
\(777\) | −10.8015 | + | 28.9599i | −0.387502 | + | 1.03893i | ||||
\(778\) | 6.05071 | − | 8.08280i | 0.216928 | − | 0.289782i | ||||
\(779\) | −9.54485 | + | 6.13410i | −0.341980 | + | 0.219777i | ||||
\(780\) | −4.59290 | + | 9.25772i | −0.164452 | + | 0.331479i | ||||
\(781\) | 50.5165i | 1.80762i | ||||||||
\(782\) | −16.6968 | + | 15.0773i | −0.597075 | + | 0.539163i | ||||
\(783\) | 1.39208 | − | 1.39208i | 0.0497489 | − | 0.0497489i | ||||
\(784\) | 0.0463959 | + | 0.0402023i | 0.00165700 | + | 0.00143580i | ||||
\(785\) | 1.21118 | + | 30.8317i | 0.0432290 | + | 1.10043i | ||||
\(786\) | −1.79024 | − | 12.4514i | −0.0638558 | − | 0.444127i | ||||
\(787\) | −31.1472 | − | 11.6173i | −1.11028 | − | 0.414113i | −0.273620 | − | 0.961838i | \(-0.588221\pi\) |
−0.836658 | + | 0.547725i | \(0.815494\pi\) | |||||||
\(788\) | −4.73182 | − | 6.32097i | −0.168564 | − | 0.225175i | ||||
\(789\) | 21.7647 | − | 6.39069i | 0.774844 | − | 0.227515i | ||||
\(790\) | −6.31524 | − | 12.5047i | −0.224686 | − | 0.444898i | ||||
\(791\) | −6.85335 | + | 15.0067i | −0.243677 | + | 0.533578i | ||||
\(792\) | 3.97131 | − | 2.16850i | 0.141114 | − | 0.0770542i | ||||
\(793\) | 4.60892 | − | 64.4411i | 0.163668 | − | 2.28837i | ||||
\(794\) | −24.1493 | + | 20.9255i | −0.857027 | + | 0.742618i | ||||
\(795\) | −19.6472 | − | 0.631606i | −0.696813 | − | 0.0224007i | ||||
\(796\) | 14.5683 | + | 6.65311i | 0.516359 | + | 0.235813i | ||||
\(797\) | −20.0501 | + | 4.36164i | −0.710212 | + | 0.154497i | −0.553138 | − | 0.833090i | \(-0.686570\pi\) |
−0.157074 | + | 0.987587i | \(0.550206\pi\) | |||||||
\(798\) | 1.47347 | − | 2.69846i | 0.0521602 | − | 0.0955244i | ||||
\(799\) | 3.61642 | − | 25.1528i | 0.127940 | − | 0.889841i | ||||
\(800\) | 0.746829 | + | 4.94391i | 0.0264044 | + | 0.174794i | ||||
\(801\) | 14.0271 | − | 2.01680i | 0.495625 | − | 0.0712601i | ||||
\(802\) | −1.03673 | + | 4.76579i | −0.0366084 | + | 0.168286i | ||||
\(803\) | 3.85790 | − | 0.275923i | 0.136142 | − | 0.00973710i | ||||
\(804\) | 11.7973 | 0.416060 | ||||||||
\(805\) | 5.68224 | + | 27.6704i | 0.200273 | + | 0.975254i | ||||
\(806\) | 8.56081 | 0.301542 | ||||||||
\(807\) | −21.3357 | + | 1.52596i | −0.751053 | + | 0.0537164i | ||||
\(808\) | −3.63650 | + | 16.7167i | −0.127931 | + | 0.588091i | ||||
\(809\) | −0.623326 | + | 0.0896208i | −0.0219150 | + | 0.00315090i | −0.153264 | − | 0.988185i | \(-0.548978\pi\) |
0.131349 | + | 0.991336i | \(0.458069\pi\) | |||||||
\(810\) | 0.231101 | − | 2.22409i | 0.00812005 | − | 0.0781467i | ||||
\(811\) | −2.94368 | + | 20.4737i | −0.103366 | + | 0.718930i | 0.870559 | + | 0.492063i | \(0.163757\pi\) |
−0.973926 | + | 0.226866i | \(0.927152\pi\) | |||||||
\(812\) | −2.48529 | + | 4.55147i | −0.0872166 | + | 0.159725i | ||||
\(813\) | 2.87746 | − | 0.625954i | 0.100917 | − | 0.0219532i | ||||
\(814\) | 48.2957 | + | 22.0559i | 1.69276 | + | 0.773060i | ||||
\(815\) | 23.6858 | − | 22.2103i | 0.829677 | − | 0.777995i | ||||
\(816\) | −3.54515 | + | 3.07189i | −0.124105 | + | 0.107538i | ||||
\(817\) | −0.0259711 | + | 0.363124i | −0.000908615 | + | 0.0127041i | ||||
\(818\) | −11.0606 | + | 6.03954i | −0.386724 | + | 0.211167i | ||||
\(819\) | −5.05731 | + | 11.0740i | −0.176717 | + | 0.386955i | ||||
\(820\) | 6.79074 | − | 20.6482i | 0.237143 | − | 0.721066i | ||||
\(821\) | 7.44469 | − | 2.18596i | 0.259822 | − | 0.0762905i | −0.149228 | − | 0.988803i | \(-0.547679\pi\) |
0.409049 | + | 0.912512i | \(0.365860\pi\) | |||||||
\(822\) | −8.91892 | − | 11.9143i | −0.311083 | − | 0.415558i | ||||
\(823\) | −10.0788 | − | 3.75920i | −0.351325 | − | 0.131037i | 0.167605 | − | 0.985854i | \(-0.446397\pi\) |
−0.518930 | + | 0.854817i | \(0.673669\pi\) | |||||||
\(824\) | 2.01768 | + | 14.0333i | 0.0702892 | + | 0.488872i | ||||
\(825\) | −21.6615 | + | 6.52844i | −0.754157 | + | 0.227291i | ||||
\(826\) | −6.45899 | − | 5.59675i | −0.224737 | − | 0.194736i | ||||
\(827\) | 6.88175 | − | 6.88175i | 0.239302 | − | 0.239302i | −0.577259 | − | 0.816561i | \(-0.695878\pi\) |
0.816561 | + | 0.577259i | \(0.195878\pi\) | |||||||
\(828\) | −1.25665 | + | 4.62827i | −0.0436714 | + | 0.160843i | ||||
\(829\) | 7.95502i | 0.276289i | 0.990412 | + | 0.138145i | \(0.0441139\pi\) | ||||
−0.990412 | + | 0.138145i | \(0.955886\pi\) | |||||||
\(830\) | −19.9287 | − | 9.88693i | −0.691734 | − | 0.343180i | ||||
\(831\) | −22.1777 | + | 14.2528i | −0.769337 | + | 0.494423i | ||||
\(832\) | 2.76968 | − | 3.69985i | 0.0960212 | − | 0.128269i | ||||
\(833\) | 0.100638 | − | 0.269821i | 0.00348690 | − | 0.00934873i | ||||
\(834\) | −0.612080 | − | 0.0880038i | −0.0211946 | − | 0.00304732i | ||||
\(835\) | −0.287408 | − | 0.0722667i | −0.00994617 | − | 0.00250089i | ||||
\(836\) | −4.44292 | − | 2.85529i | −0.153662 | − | 0.0987523i | ||||
\(837\) | −1.73552 | + | 0.647317i | −0.0599885 | + | 0.0223745i | ||||
\(838\) | 0.590139 | + | 1.08076i | 0.0203860 | + | 0.0373342i | ||||
\(839\) | −10.8689 | − | 12.5434i | −0.375238 | − | 0.433047i | 0.536449 | − | 0.843932i | \(-0.319765\pi\) |
−0.911687 | + | 0.410885i | \(0.865220\pi\) | |||||||
\(840\) | 1.06645 | + | 5.79273i | 0.0367961 | + | 0.199868i | ||||
\(841\) | −24.1065 | − | 7.07831i | −0.831259 | − | 0.244080i | ||||
\(842\) | −3.59406 | − | 9.63606i | −0.123860 | − | 0.332080i | ||||
\(843\) | 1.37613 | + | 6.32598i | 0.0473965 | + | 0.217878i | ||||
\(844\) | 0.596582 | + | 2.03177i | 0.0205352 | + | 0.0699364i | ||||
\(845\) | −18.5792 | + | 2.06447i | −0.639144 | + | 0.0710200i | ||||
\(846\) | −2.25037 | − | 4.92762i | −0.0773693 | − | 0.169415i | ||||
\(847\) | −19.9774 | − | 14.9549i | −0.686430 | − | 0.513855i | ||||
\(848\) | 8.59011 | + | 1.86866i | 0.294986 | + | 0.0641702i | ||||
\(849\) | −16.8645 | + | 19.4627i | −0.578789 | + | 0.667958i | ||||
\(850\) | 20.5049 | − | 11.3870i | 0.703313 | − | 0.390571i | ||||
\(851\) | −52.3124 | + | 20.7412i | −1.79325 | + | 0.710999i | ||||
\(852\) | −7.89443 | − | 7.89443i | −0.270459 | − | 0.270459i | ||||
\(853\) | −0.983874 | − | 13.7564i | −0.0336872 | − | 0.471009i | −0.986095 | − | 0.166182i | \(-0.946856\pi\) |
0.952408 | − | 0.304827i | \(-0.0985985\pi\) | |||||||
\(854\) | −19.9074 | − | 30.9766i | −0.681218 | − | 1.06000i | ||||
\(855\) | −2.40769 | + | 1.00736i | −0.0823411 | + | 0.0344511i | ||||
\(856\) | 0.413410 | − | 0.188798i | 0.0141301 | − | 0.00645298i | ||||
\(857\) | −4.80764 | + | 3.59895i | −0.164226 | + | 0.122938i | −0.678230 | − | 0.734850i | \(-0.737253\pi\) |
0.514004 | + | 0.857788i | \(0.328162\pi\) | |||||||
\(858\) | 18.3542 | + | 10.0221i | 0.626600 | + | 0.342150i | ||||
\(859\) | −7.86063 | + | 12.2314i | −0.268201 | + | 0.417329i | −0.949065 | − | 0.315081i | \(-0.897968\pi\) |
0.680864 | + | 0.732410i | \(0.261605\pi\) | |||||||
\(860\) | −0.399803 | − | 0.571467i | −0.0136332 | − | 0.0194869i | ||||
\(861\) | 7.21393 | − | 24.5684i | 0.245850 | − | 0.837288i | ||||
\(862\) | 20.6652 | + | 1.47801i | 0.703861 | + | 0.0503411i | ||||
\(863\) | −54.4301 | − | 3.89292i | −1.85282 | − | 0.132516i | −0.899970 | − | 0.435952i | \(-0.856412\pi\) |
−0.952852 | + | 0.303435i | \(0.901866\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −2.57246 | − | 3.67701i | −0.0874662 | − | 0.125022i | ||||
\(866\) | 2.23274 | − | 3.47422i | 0.0758717 | − | 0.118059i | ||||
\(867\) | 4.39247 | + | 2.39847i | 0.149176 | + | 0.0814564i | ||||
\(868\) | 3.90602 | − | 2.92401i | 0.132579 | − | 0.0992473i | ||||
\(869\) | −25.7860 | + | 11.7761i | −0.874729 | + | 0.399475i | ||||
\(870\) | 4.06103 | − | 1.69911i | 0.137682 | − | 0.0576053i | ||||
\(871\) | 29.4777 | + | 45.8681i | 0.998813 | + | 1.55418i | ||||
\(872\) | 0.235372 | + | 3.29093i | 0.00797069 | + | 0.111445i | ||||
\(873\) | −7.07578 | − | 7.07578i | −0.239479 | − | 0.239479i | ||||
\(874\) | 5.44424 | − | 1.30161i | 0.184154 | − | 0.0440276i | ||||
\(875\) | 0.736455 | − | 29.4412i | 0.0248967 | − | 0.995294i | ||||
\(876\) | −0.559771 | + | 0.646010i | −0.0189129 | + | 0.0218267i | ||||
\(877\) | 18.9530 | + | 4.12297i | 0.639998 | + | 0.139223i | 0.520843 | − | 0.853653i | \(-0.325618\pi\) |
0.119155 | + | 0.992876i | \(0.461981\pi\) | |||||||
\(878\) | 8.27959 | + | 6.19803i | 0.279423 | + | 0.209173i | ||||
\(879\) | 9.44336 | + | 20.6781i | 0.318517 | + | 0.697454i | ||||
\(880\) | 10.0558 | − | 1.11738i | 0.338982 | − | 0.0376668i | ||||
\(881\) | 8.25269 | + | 28.1061i | 0.278040 | + | 0.946918i | 0.973564 | + | 0.228415i | \(0.0733543\pi\) |
−0.695524 | + | 0.718503i | \(0.744828\pi\) | |||||||
\(882\) | −0.0130495 | − | 0.0599876i | −0.000439400 | − | 0.00201989i | ||||
\(883\) | −15.3883 | − | 41.2576i | −0.517857 | − | 1.38843i | −0.888167 | − | 0.459520i | \(-0.848021\pi\) |
0.370310 | − | 0.928908i | \(-0.379251\pi\) | |||||||
\(884\) | −20.8017 | − | 6.10794i | −0.699638 | − | 0.205432i | ||||
\(885\) | 1.31358 | + | 7.13506i | 0.0441554 | + | 0.239843i | ||||
\(886\) | 13.4211 | + | 15.4888i | 0.450891 | + | 0.520356i | ||||
\(887\) | −25.8897 | − | 47.4135i | −0.869292 | − | 1.59199i | −0.804393 | − | 0.594098i | \(-0.797509\pi\) |
−0.0648990 | − | 0.997892i | \(-0.520673\pi\) | |||||||
\(888\) | −10.9941 | + | 4.10060i | −0.368939 | + | 0.137607i | ||||
\(889\) | −15.6315 | − | 10.0457i | −0.524263 | − | 0.336923i | ||||
\(890\) | 30.7316 | + | 7.72723i | 1.03013 | + | 0.259017i | ||||
\(891\) | −4.47873 | − | 0.643944i | −0.150043 | − | 0.0215729i | ||||
\(892\) | −2.74586 | + | 7.36193i | −0.0919381 | + | 0.246496i | ||||
\(893\) | −3.78916 | + | 5.06173i | −0.126800 | + | 0.169384i | ||||
\(894\) | −14.7021 | + | 9.44848i | −0.491712 | + | 0.316004i | ||||
\(895\) | 32.8019 | + | 16.2735i | 1.09645 | + | 0.543965i | ||||
\(896\) | − | 2.63412i | − | 0.0879999i | ||||||
\(897\) | −21.1347 | + | 6.67867i | −0.705667 | + | 0.222994i | ||||
\(898\) | −2.75327 | + | 2.75327i | −0.0918777 | + | 0.0918777i | ||||
\(899\) | −2.75595 | − | 2.38805i | −0.0919162 | − | 0.0796458i | ||||
\(900\) | 2.36491 | − | 4.40536i | 0.0788303 | − | 0.146845i | ||||
\(901\) | −5.86876 | − | 40.8181i | −0.195517 | − | 1.35985i | ||||
\(902\) | −41.2109 | − | 15.3709i | −1.37217 | − | 0.511795i | ||||
\(903\) | −0.492361 | − | 0.657717i | −0.0163847 | − | 0.0218875i | ||||
\(904\) | −6.00933 | + | 1.76450i | −0.199867 | + | 0.0586864i | ||||
\(905\) | 6.25959 | − | 19.0332i | 0.208076 | − | 0.632683i | ||||
\(906\) | 4.04619 | − | 8.85993i | 0.134426 | − | 0.294351i | ||||
\(907\) | 33.9292 | − | 18.5267i | 1.12660 | − | 0.615171i | 0.195781 | − | 0.980648i | \(-0.437276\pi\) |
0.930820 | + | 0.365477i | \(0.119094\pi\) | |||||||
\(908\) | −2.03897 | + | 28.5085i | −0.0676656 | + | 0.946089i | ||||
\(909\) | 12.9291 | − | 11.2031i | 0.428831 | − | 0.371585i | ||||
\(910\) | −19.8575 | + | 18.6205i | −0.658269 | + | 0.617264i | ||||
\(911\) | −41.8377 | − | 19.1066i | −1.38614 | − | 0.633031i | −0.424023 | − | 0.905651i | \(-0.639382\pi\) |
−0.962122 | + | 0.272620i | \(0.912110\pi\) | |||||||
\(912\) | 1.14052 | − | 0.248105i | 0.0377664 | − | 0.00821559i | ||||
\(913\) | −21.5742 | + | 39.5101i | −0.714001 | + | 1.30760i | ||||
\(914\) | −4.58016 | + | 31.8557i | −0.151498 | + | 1.05369i | ||||
\(915\) | −3.23051 | + | 31.0902i | −0.106797 | + | 1.02781i | ||||
\(916\) | −25.2257 | + | 3.62691i | −0.833481 | + | 0.119837i | ||||
\(917\) | 7.04352 | − | 32.3786i | 0.232598 | − | 1.06923i | ||||
\(918\) | 4.67896 | − | 0.334646i | 0.154429 | − | 0.0110450i | ||||
\(919\) | −39.7867 | −1.31244 | −0.656221 | − | 0.754569i | \(-0.727846\pi\) | ||||
−0.656221 | + | 0.754569i | \(0.727846\pi\) | |||||||
\(920\) | −6.52620 | + | 8.50933i | −0.215163 | + | 0.280544i | ||||
\(921\) | 18.3394 | 0.604304 | ||||||||
\(922\) | −23.9222 | + | 1.71095i | −0.787837 | + | 0.0563472i | ||||
\(923\) | 10.9680 | − | 50.4193i | 0.361017 | − | 1.65957i | ||||
\(924\) | 11.7975 | − | 1.69623i | 0.388110 | − | 0.0558018i | ||||
\(925\) | 58.0117 | − | 8.76327i | 1.90741 | − | 0.288135i | ||||
\(926\) | −0.909253 | + | 6.32399i | −0.0298799 | + | 0.207819i | ||||
\(927\) | 6.79459 | − | 12.4434i | 0.223164 | − | 0.408694i | ||||
\(928\) | −1.92371 | + | 0.418478i | −0.0631489 | + | 0.0137372i | ||||
\(929\) | 54.2608 | + | 24.7801i | 1.78024 | + | 0.813008i | 0.975700 | + | 0.219109i | \(0.0703149\pi\) |
0.804539 | + | 0.593900i | \(0.202412\pi\) | |||||||
\(930\) | −4.13976 | − | 0.133083i | −0.135748 | − | 0.00436395i | ||||
\(931\) | −0.0541531 | + | 0.0469239i | −0.00177480 | + | 0.00153787i | ||||
\(932\) | 0.715466 | − | 10.0035i | 0.0234359 | − | 0.327676i | ||||
\(933\) | 19.1733 | − | 10.4694i | 0.627705 | − | 0.342753i | ||||
\(934\) | 5.96087 | − | 13.0525i | 0.195045 | − | 0.427090i | ||||
\(935\) | −21.3956 | − | 42.3652i | −0.699712 | − | 1.38549i | ||||
\(936\) | −4.43448 | + | 1.30208i | −0.144945 | + | 0.0425598i | ||||
\(937\) | 17.4937 | + | 23.3689i | 0.571495 | + | 0.763428i | 0.989424 | − | 0.145052i | \(-0.0463348\pi\) |
−0.417929 | + | 0.908480i | \(0.637244\pi\) | |||||||
\(938\) | 29.1163 | + | 10.8598i | 0.950681 | + | 0.354586i | ||||
\(939\) | −0.408279 | − | 2.83964i | −0.0133237 | − | 0.0926683i | ||||
\(940\) | −0.475482 | − | 12.1038i | −0.0155085 | − | 0.394783i | ||||
\(941\) | 13.6511 | + | 11.8287i | 0.445013 | + | 0.385606i | 0.848341 | − | 0.529449i | \(-0.177601\pi\) |
−0.403329 | + | 0.915055i | \(0.632147\pi\) | |||||||
\(942\) | −9.75737 | + | 9.75737i | −0.317912 | + | 0.317912i | ||||
\(943\) | 42.0007 | − | 20.2304i | 1.36773 | − | 0.658792i | ||||
\(944\) | − | 3.24452i | − | 0.105600i | ||||||
\(945\) | 2.61772 | − | 5.27642i | 0.0851543 | − | 0.171642i | ||||
\(946\) | −1.18726 | + | 0.763003i | −0.0386010 | + | 0.0248074i | ||||
\(947\) | 13.9021 | − | 18.5710i | 0.451758 | − | 0.603478i | −0.515619 | − | 0.856818i | \(-0.672438\pi\) |
0.967377 | + | 0.253340i | \(0.0815291\pi\) | |||||||
\(948\) | 2.18939 | − | 5.86997i | 0.0711080 | − | 0.190648i | ||||
\(949\) | −3.91038 | − | 0.562228i | −0.126936 | − | 0.0182507i | ||||
\(950\) | −5.83583 | + | 0.0415933i | −0.189339 | + | 0.00134947i | ||||
\(951\) | 3.26343 | + | 2.09728i | 0.105824 | + | 0.0680089i | ||||
\(952\) | −11.5774 | + | 4.31813i | −0.375225 | + | 0.139952i | ||||
\(953\) | −4.28144 | − | 7.84087i | −0.138689 | − | 0.253991i | 0.799098 | − | 0.601201i | \(-0.205311\pi\) |
−0.937787 | + | 0.347210i | \(0.887129\pi\) | |||||||
\(954\) | −5.75689 | − | 6.64381i | −0.186386 | − | 0.215101i | ||||
\(955\) | 9.88627 | − | 14.3478i | 0.319912 | − | 0.464284i | ||||
\(956\) | −5.64387 | − | 1.65719i | −0.182536 | − | 0.0535974i | ||||
\(957\) | −3.11301 | − | 8.34630i | −0.100629 | − | 0.269798i | ||||
\(958\) | 0.575348 | + | 2.64483i | 0.0185887 | + | 0.0854507i | ||||
\(959\) | −11.0448 | − | 37.6151i | −0.356655 | − | 1.21466i | ||||
\(960\) | −1.39685 | + | 1.74608i | −0.0450831 | + | 0.0563546i | ||||
\(961\) | −11.4526 | − | 25.0776i | −0.369437 | − | 0.808955i | ||||
\(962\) | −43.4140 | − | 32.4993i | −1.39972 | − | 1.04782i | ||||
\(963\) | −0.444094 | − | 0.0966067i | −0.0143107 | − | 0.00311311i | ||||
\(964\) | 11.6767 | − | 13.4756i | 0.376080 | − | 0.434019i | ||||
\(965\) | −5.33711 | + | 9.06871i | −0.171808 | + | 0.291932i | ||||
\(966\) | −7.36192 | + | 10.2660i | −0.236866 | + | 0.330302i | ||||
\(967\) | −5.44163 | − | 5.44163i | −0.174991 | − | 0.174991i | 0.614177 | − | 0.789168i | \(-0.289488\pi\) |
−0.789168 | + | 0.614177i | \(0.789488\pi\) | |||||||
\(968\) | −0.675844 | − | 9.44953i | −0.0217224 | − | 0.303719i | ||||
\(969\) | −2.96012 | − | 4.60604i | −0.0950928 | − | 0.147967i | ||||
\(970\) | −8.63637 | − | 20.6417i | −0.277297 | − | 0.662765i | ||||
\(971\) | 8.98520 | − | 4.10341i | 0.288349 | − | 0.131685i | −0.265989 | − | 0.963976i | \(-0.585699\pi\) |
0.554338 | + | 0.832291i | \(0.312971\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | −1.42963 | − | 0.780636i | −0.0458318 | − | 0.0250260i | ||||
\(974\) | −6.44452 | + | 10.0279i | −0.206496 | + | 0.321314i | ||||
\(975\) | 23.0372 | − | 1.81277i | 0.737782 | − | 0.0580551i | ||||
\(976\) | 3.93829 | − | 13.4126i | 0.126061 | − | 0.429326i | ||||
\(977\) | −57.1379 | − | 4.08658i | −1.82800 | − | 0.130741i | −0.885437 | − | 0.464760i | \(-0.846141\pi\) |
−0.942567 | + | 0.334018i | \(0.891595\pi\) | |||||||
\(978\) | 14.4841 | + | 1.03593i | 0.463152 | + | 0.0331252i | ||||
\(979\) | 18.0654 | − | 61.5250i | 0.577372 | − | 1.96635i | ||||
\(980\) | 0.0238918 | − | 0.135178i | 0.000763195 | − | 0.00431812i | ||||
\(981\) | 1.78375 | − | 2.77558i | 0.0569509 | − | 0.0886173i | ||||
\(982\) | −10.7641 | − | 5.87762i | −0.343495 | − | 0.187562i | ||||
\(983\) | 42.1329 | − | 31.5403i | 1.34383 | − | 1.00598i | 0.346132 | − | 0.938186i | \(-0.387495\pi\) |
0.997699 | − | 0.0677942i | \(-0.0215961\pi\) | |||||||
\(984\) | 8.84228 | − | 4.03813i | 0.281882 | − | 0.128731i | ||||
\(985\) | −6.69838 | + | 16.3357i | −0.213428 | + | 0.520499i | ||||
\(986\) | 4.99282 | + | 7.76898i | 0.159004 | + | 0.247415i | ||||
\(987\) | −1.01797 | − | 14.2331i | −0.0324024 | − | 0.453045i | ||||
\(988\) | 3.81443 | + | 3.81443i | 0.121353 | + | 0.121353i | ||||
\(989\) | 0.287970 | − | 1.46785i | 0.00915690 | − | 0.0466750i | ||||
\(990\) | −8.71973 | − | 5.13173i | −0.277131 | − | 0.163097i | ||||
\(991\) | 14.3127 | − | 16.5178i | 0.454659 | − | 0.524705i | −0.481422 | − | 0.876489i | \(-0.659879\pi\) |
0.936081 | + | 0.351784i | \(0.114425\pi\) | |||||||
\(992\) | 1.80998 | + | 0.393737i | 0.0574670 | + | 0.0125012i | ||||
\(993\) | −15.5027 | − | 11.6051i | −0.491962 | − | 0.368278i | ||||
\(994\) | −12.2167 | − | 26.7509i | −0.387490 | − | 0.848486i | ||||
\(995\) | −3.95498 | − | 35.5929i | −0.125381 | − | 1.12837i | ||||
\(996\) | −2.80293 | − | 9.54590i | −0.0888142 | − | 0.302473i | ||||
\(997\) | 7.89723 | + | 36.3030i | 0.250108 | + | 1.14973i | 0.915211 | + | 0.402975i | \(0.132024\pi\) |
−0.665103 | + | 0.746752i | \(0.731612\pi\) | |||||||
\(998\) | 10.4211 | + | 27.9400i | 0.329873 | + | 0.884425i | ||||
\(999\) | 11.2587 | + | 3.30584i | 0.356208 | + | 0.104592i |
(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 | 690.2.w.b.7.8 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.4 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.4 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.4 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.4 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.8 | yes | 240 | 115.33 | even | 44 | inner |