Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 40x^{14} + 654x^{12} + 5650x^{10} + 27831x^{8} + 78445x^{6} + 119819x^{4} + 87030x^{2} + 22801 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 751.2 | ||
Root | \(1.00725i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.751 |
Dual form | 930.2.bg.c.691.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | + | 0.951057i | 0.218508 | + | 0.672499i | ||||
\(3\) | 0.978148 | − | 0.207912i | 0.564734 | − | 0.120038i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0.500000 | + | 0.866025i | 0.204124 | + | 0.353553i | ||||
\(7\) | 3.19037 | + | 1.42044i | 1.20585 | + | 0.536877i | 0.908497 | − | 0.417891i | \(-0.137231\pi\) |
0.297349 | + | 0.954769i | \(0.403897\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | 0.913545 | − | 0.406737i | 0.304515 | − | 0.135579i | ||||
\(10\) | 0.978148 | + | 0.207912i | 0.309317 | + | 0.0657474i | ||||
\(11\) | 0.412071 | + | 3.92059i | 0.124244 | + | 1.18210i | 0.861954 | + | 0.506986i | \(0.169240\pi\) |
−0.737710 | + | 0.675118i | \(0.764093\pi\) | |||||||
\(12\) | −0.669131 | + | 0.743145i | −0.193161 | + | 0.214527i | ||||
\(13\) | 1.98047 | + | 2.19953i | 0.549282 | + | 0.610040i | 0.952304 | − | 0.305151i | \(-0.0987068\pi\) |
−0.403022 | + | 0.915190i | \(0.632040\pi\) | |||||||
\(14\) | −0.365044 | + | 3.47316i | −0.0975621 | + | 0.928242i | ||||
\(15\) | 0.309017 | − | 0.951057i | 0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.838261 | − | 7.97552i | 0.203308 | − | 1.93435i | −0.129966 | − | 0.991518i | \(-0.541487\pi\) |
0.333274 | − | 0.942830i | \(-0.391847\pi\) | |||||||
\(18\) | 0.669131 | + | 0.743145i | 0.157716 | + | 0.175161i | ||||
\(19\) | −2.35264 | + | 2.61287i | −0.539733 | + | 0.599435i | −0.949891 | − | 0.312580i | \(-0.898807\pi\) |
0.410158 | + | 0.912014i | \(0.365473\pi\) | |||||||
\(20\) | 0.104528 | + | 0.994522i | 0.0233733 | + | 0.222382i | ||||
\(21\) | 3.41598 | + | 0.726089i | 0.745428 | + | 0.158446i | ||||
\(22\) | −3.60137 | + | 1.60343i | −0.767815 | + | 0.341853i | ||||
\(23\) | −4.87954 | − | 3.54519i | −1.01745 | − | 0.739224i | −0.0516951 | − | 0.998663i | \(-0.516462\pi\) |
−0.965760 | + | 0.259439i | \(0.916462\pi\) | |||||||
\(24\) | −0.913545 | − | 0.406737i | −0.186477 | − | 0.0830248i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −1.47988 | + | 2.56323i | −0.290228 | + | 0.502690i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −3.41598 | + | 0.726089i | −0.645559 | + | 0.137218i | ||||
\(29\) | 1.43570 | + | 4.41862i | 0.266602 | + | 0.820518i | 0.991320 | + | 0.131472i | \(0.0419702\pi\) |
−0.724718 | + | 0.689046i | \(0.758030\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 2.58958 | − | 4.92890i | 0.465103 | − | 0.885257i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.21820 | + | 3.74925i | 0.212062 | + | 0.652660i | ||||
\(34\) | 7.84421 | − | 1.66734i | 1.34527 | − | 0.285946i | ||||
\(35\) | 2.82533 | − | 2.05272i | 0.477567 | − | 0.346973i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 4.86873 | + | 8.43289i | 0.800415 | + | 1.38636i | 0.919343 | + | 0.393456i | \(0.128721\pi\) |
−0.118929 | + | 0.992903i | \(0.537946\pi\) | |||||||
\(38\) | −3.21200 | − | 1.43007i | −0.521055 | − | 0.231989i | ||||
\(39\) | 2.39450 | + | 1.73970i | 0.383426 | + | 0.278575i | ||||
\(40\) | −0.913545 | + | 0.406737i | −0.144444 | + | 0.0643107i | ||||
\(41\) | 10.0697 | + | 2.14038i | 1.57262 | + | 0.334271i | 0.909976 | − | 0.414662i | \(-0.136100\pi\) |
0.662646 | + | 0.748933i | \(0.269434\pi\) | |||||||
\(42\) | 0.365044 | + | 3.47316i | 0.0563275 | + | 0.535921i | ||||
\(43\) | −4.77909 | + | 5.30772i | −0.728805 | + | 0.809419i | −0.987679 | − | 0.156491i | \(-0.949982\pi\) |
0.258875 | + | 0.965911i | \(0.416648\pi\) | |||||||
\(44\) | −2.63784 | − | 2.92962i | −0.397669 | − | 0.441657i | ||||
\(45\) | 0.104528 | − | 0.994522i | 0.0155822 | − | 0.148255i | ||||
\(46\) | 1.86382 | − | 5.73624i | 0.274805 | − | 0.845763i | ||||
\(47\) | −1.34327 | + | 4.13417i | −0.195937 | + | 0.603031i | 0.804028 | + | 0.594592i | \(0.202686\pi\) |
−0.999964 | + | 0.00843901i | \(0.997314\pi\) | |||||||
\(48\) | 0.104528 | − | 0.994522i | 0.0150874 | − | 0.143547i | ||||
\(49\) | 3.47688 | + | 3.86147i | 0.496697 | + | 0.551638i | ||||
\(50\) | 0.669131 | − | 0.743145i | 0.0946294 | − | 0.105097i | ||||
\(51\) | −0.838261 | − | 7.97552i | −0.117380 | − | 1.11680i | ||||
\(52\) | −2.89508 | − | 0.615369i | −0.401476 | − | 0.0853363i | ||||
\(53\) | 8.36017 | − | 3.72219i | 1.14836 | − | 0.511282i | 0.257821 | − | 0.966193i | \(-0.416996\pi\) |
0.890537 | + | 0.454911i | \(0.150329\pi\) | |||||||
\(54\) | 0.809017 | + | 0.587785i | 0.110093 | + | 0.0799874i | ||||
\(55\) | 3.60137 | + | 1.60343i | 0.485609 | + | 0.216207i | ||||
\(56\) | −1.74615 | − | 3.02442i | −0.233339 | − | 0.404155i | ||||
\(57\) | −1.75798 | + | 3.04492i | −0.232851 | + | 0.403309i | ||||
\(58\) | −3.75870 | + | 2.73086i | −0.493542 | + | 0.358579i | ||||
\(59\) | −13.3203 | + | 2.83133i | −1.73416 | + | 0.368607i | −0.963307 | − | 0.268403i | \(-0.913504\pi\) |
−0.770855 | + | 0.637011i | \(0.780171\pi\) | |||||||
\(60\) | 0.309017 | + | 0.951057i | 0.0398939 | + | 0.122781i | ||||
\(61\) | −10.3475 | −1.32486 | −0.662430 | − | 0.749123i | \(-0.730475\pi\) | ||||
−0.662430 | + | 0.749123i | \(0.730475\pi\) | |||||||
\(62\) | 5.48789 | + | 0.939726i | 0.696962 | + | 0.119345i | ||||
\(63\) | 3.49229 | 0.439988 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 2.89508 | − | 0.615369i | 0.359091 | − | 0.0763271i | ||||
\(66\) | −3.18930 | + | 2.31716i | −0.392576 | + | 0.285223i | ||||
\(67\) | 3.28687 | − | 5.69302i | 0.401554 | − | 0.695513i | −0.592359 | − | 0.805674i | \(-0.701803\pi\) |
0.993914 | + | 0.110161i | \(0.0351367\pi\) | |||||||
\(68\) | 4.00973 | + | 6.94505i | 0.486251 | + | 0.842211i | ||||
\(69\) | −5.51000 | − | 2.45321i | −0.663326 | − | 0.295332i | ||||
\(70\) | 2.82533 | + | 2.05272i | 0.337691 | + | 0.245347i | ||||
\(71\) | 11.9280 | − | 5.31067i | 1.41559 | − | 0.630261i | 0.450642 | − | 0.892705i | \(-0.351195\pi\) |
0.964947 | + | 0.262444i | \(0.0845284\pi\) | |||||||
\(72\) | −0.978148 | − | 0.207912i | −0.115276 | − | 0.0245026i | ||||
\(73\) | 0.00255919 | + | 0.0243491i | 0.000299530 | + | 0.00284984i | 0.994671 | − | 0.103103i | \(-0.0328773\pi\) |
−0.994371 | + | 0.105953i | \(0.966211\pi\) | |||||||
\(74\) | −6.51564 | + | 7.23635i | −0.757427 | + | 0.841208i | ||||
\(75\) | −0.669131 | − | 0.743145i | −0.0772645 | − | 0.0858110i | ||||
\(76\) | 0.367519 | − | 3.49671i | 0.0421573 | − | 0.401100i | ||||
\(77\) | −4.25433 | + | 13.0935i | −0.484825 | + | 1.49214i | ||||
\(78\) | −0.914616 | + | 2.81490i | −0.103560 | + | 0.318725i | ||||
\(79\) | −0.200527 | + | 1.90789i | −0.0225611 | + | 0.214654i | 0.977433 | + | 0.211245i | \(0.0677518\pi\) |
−0.999994 | + | 0.00340917i | \(0.998915\pi\) | |||||||
\(80\) | −0.669131 | − | 0.743145i | −0.0748111 | − | 0.0830861i | ||||
\(81\) | 0.669131 | − | 0.743145i | 0.0743478 | − | 0.0825716i | ||||
\(82\) | 1.07608 | + | 10.2383i | 0.118834 | + | 1.13063i | ||||
\(83\) | −10.3149 | − | 2.19249i | −1.13220 | − | 0.240657i | −0.396548 | − | 0.918014i | \(-0.629792\pi\) |
−0.735655 | + | 0.677357i | \(0.763125\pi\) | |||||||
\(84\) | −3.19037 | + | 1.42044i | −0.348098 | + | 0.154983i | ||||
\(85\) | −6.48787 | − | 4.71372i | −0.703709 | − | 0.511274i | ||||
\(86\) | −6.52476 | − | 2.90501i | −0.703583 | − | 0.313255i | ||||
\(87\) | 2.32301 | + | 4.02357i | 0.249053 | + | 0.431372i | ||||
\(88\) | 1.97110 | − | 3.41404i | 0.210119 | − | 0.363938i | ||||
\(89\) | 2.70979 | − | 1.96878i | 0.287237 | − | 0.208690i | −0.434831 | − | 0.900512i | \(-0.643192\pi\) |
0.722068 | + | 0.691822i | \(0.243192\pi\) | |||||||
\(90\) | 0.978148 | − | 0.207912i | 0.103106 | − | 0.0219158i | ||||
\(91\) | 3.19411 | + | 9.83045i | 0.334834 | + | 1.03051i | ||||
\(92\) | 6.03144 | 0.628822 | ||||||||
\(93\) | 1.50822 | − | 5.35960i | 0.156395 | − | 0.555764i | ||||
\(94\) | −4.34692 | −0.448351 | ||||||||
\(95\) | 1.08649 | + | 3.34389i | 0.111472 | + | 0.343075i | ||||
\(96\) | 0.978148 | − | 0.207912i | 0.0998318 | − | 0.0212199i | ||||
\(97\) | −1.10581 | + | 0.803415i | −0.112278 | + | 0.0815745i | −0.642507 | − | 0.766280i | \(-0.722106\pi\) |
0.530230 | + | 0.847854i | \(0.322106\pi\) | |||||||
\(98\) | −2.59806 | + | 4.49997i | −0.262444 | + | 0.454566i | ||||
\(99\) | 1.97110 | + | 3.41404i | 0.198103 | + | 0.343124i | ||||
\(100\) | 0.913545 | + | 0.406737i | 0.0913545 | + | 0.0406737i | ||||
\(101\) | −13.0056 | − | 9.44913i | −1.29411 | − | 0.940224i | −0.294228 | − | 0.955735i | \(-0.595062\pi\) |
−0.999880 | + | 0.0155113i | \(0.995062\pi\) | |||||||
\(102\) | 7.32614 | − | 3.26181i | 0.725396 | − | 0.322967i | ||||
\(103\) | −14.9776 | − | 3.18359i | −1.47579 | − | 0.313689i | −0.601413 | − | 0.798938i | \(-0.705396\pi\) |
−0.874376 | + | 0.485249i | \(0.838729\pi\) | |||||||
\(104\) | −0.309379 | − | 2.94355i | −0.0303371 | − | 0.288638i | ||||
\(105\) | 2.33680 | − | 2.59528i | 0.228048 | − | 0.253273i | ||||
\(106\) | 6.12344 | + | 6.80077i | 0.594761 | + | 0.660550i | ||||
\(107\) | 1.48350 | − | 14.1146i | 0.143416 | − | 1.36451i | −0.651896 | − | 0.758309i | \(-0.726026\pi\) |
0.795312 | − | 0.606201i | \(-0.207307\pi\) | |||||||
\(108\) | −0.309017 | + | 0.951057i | −0.0297352 | + | 0.0915155i | ||||
\(109\) | 2.49092 | − | 7.66625i | 0.238586 | − | 0.734293i | −0.758039 | − | 0.652209i | \(-0.773842\pi\) |
0.996625 | − | 0.0820842i | \(-0.0261577\pi\) | |||||||
\(110\) | −0.412071 | + | 3.92059i | −0.0392894 | + | 0.373814i | ||||
\(111\) | 6.51564 | + | 7.23635i | 0.618437 | + | 0.686844i | ||||
\(112\) | 2.33680 | − | 2.59528i | 0.220807 | − | 0.245231i | ||||
\(113\) | −1.37972 | − | 13.1272i | −0.129793 | − | 1.23490i | −0.844531 | − | 0.535507i | \(-0.820121\pi\) |
0.714738 | − | 0.699393i | \(-0.246546\pi\) | |||||||
\(114\) | −3.43914 | − | 0.731011i | −0.322105 | − | 0.0684655i | ||||
\(115\) | −5.51000 | + | 2.45321i | −0.513810 | + | 0.228763i | ||||
\(116\) | −3.75870 | − | 2.73086i | −0.348987 | − | 0.253554i | ||||
\(117\) | 2.70387 | + | 1.20384i | 0.249973 | + | 0.111295i | ||||
\(118\) | −6.80897 | − | 11.7935i | −0.626816 | − | 1.08568i | ||||
\(119\) | 14.0031 | − | 24.2542i | 1.28367 | − | 2.22338i | ||||
\(120\) | −0.809017 | + | 0.587785i | −0.0738528 | + | 0.0536572i | ||||
\(121\) | −4.44163 | + | 0.944099i | −0.403785 | + | 0.0858271i | ||||
\(122\) | −3.19755 | − | 9.84105i | −0.289493 | − | 0.890967i | ||||
\(123\) | 10.2947 | 0.928238 | ||||||||
\(124\) | 0.802118 | + | 5.50968i | 0.0720323 | + | 0.494784i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 1.07918 | + | 3.32137i | 0.0961408 | + | 0.295891i | ||||
\(127\) | 9.38612 | − | 1.99508i | 0.832884 | − | 0.177035i | 0.228314 | − | 0.973587i | \(-0.426679\pi\) |
0.604569 | + | 0.796553i | \(0.293345\pi\) | |||||||
\(128\) | −0.809017 | + | 0.587785i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | −3.57112 | + | 6.18536i | −0.314420 | + | 0.544591i | ||||
\(130\) | 1.47988 | + | 2.56323i | 0.129794 | + | 0.224810i | ||||
\(131\) | −5.77756 | − | 2.57234i | −0.504788 | − | 0.224746i | 0.138511 | − | 0.990361i | \(-0.455768\pi\) |
−0.643299 | + | 0.765615i | \(0.722435\pi\) | |||||||
\(132\) | −3.18930 | − | 2.31716i | −0.277593 | − | 0.201683i | ||||
\(133\) | −11.2172 | + | 4.99424i | −0.972658 | + | 0.433055i | ||||
\(134\) | 6.43008 | + | 1.36676i | 0.555474 | + | 0.118070i | ||||
\(135\) | −0.104528 | − | 0.994522i | −0.00899638 | − | 0.0855948i | ||||
\(136\) | −5.36606 | + | 5.95962i | −0.460136 | + | 0.511033i | ||||
\(137\) | 0.611466 | + | 0.679102i | 0.0522411 | + | 0.0580196i | 0.768699 | − | 0.639611i | \(-0.220904\pi\) |
−0.716458 | + | 0.697630i | \(0.754238\pi\) | |||||||
\(138\) | 0.630458 | − | 5.99840i | 0.0536681 | − | 0.510618i | ||||
\(139\) | −3.90400 | + | 12.0153i | −0.331133 | + | 1.01912i | 0.637463 | + | 0.770481i | \(0.279984\pi\) |
−0.968596 | + | 0.248641i | \(0.920016\pi\) | |||||||
\(140\) | −1.07918 | + | 3.32137i | −0.0912072 | + | 0.280707i | ||||
\(141\) | −0.454377 | + | 4.32311i | −0.0382655 | + | 0.364072i | ||||
\(142\) | 8.73670 | + | 9.70308i | 0.733167 | + | 0.814265i | ||||
\(143\) | −7.80737 | + | 8.67097i | −0.652885 | + | 0.725103i | ||||
\(144\) | −0.104528 | − | 0.994522i | −0.00871071 | − | 0.0828768i | ||||
\(145\) | 4.54449 | + | 0.965961i | 0.377399 | + | 0.0802187i | ||||
\(146\) | −0.0223665 | + | 0.00995820i | −0.00185106 | + | 0.000824147i | ||||
\(147\) | 4.20375 | + | 3.05420i | 0.346719 | + | 0.251906i | ||||
\(148\) | −8.89562 | − | 3.96058i | −0.731215 | − | 0.325558i | ||||
\(149\) | −10.2541 | − | 17.7607i | −0.840052 | − | 1.45501i | −0.889850 | − | 0.456253i | \(-0.849191\pi\) |
0.0497978 | − | 0.998759i | \(-0.484142\pi\) | |||||||
\(150\) | 0.500000 | − | 0.866025i | 0.0408248 | − | 0.0707107i | ||||
\(151\) | −2.98570 | + | 2.16924i | −0.242973 | + | 0.176530i | −0.702607 | − | 0.711578i | \(-0.747981\pi\) |
0.459634 | + | 0.888109i | \(0.347981\pi\) | |||||||
\(152\) | 3.43914 | − | 0.731011i | 0.278951 | − | 0.0592928i | ||||
\(153\) | −2.47815 | − | 7.62695i | −0.200346 | − | 0.616603i | ||||
\(154\) | −13.7673 | −1.10940 | ||||||||
\(155\) | −2.97376 | − | 4.70710i | −0.238858 | − | 0.378083i | ||||
\(156\) | −2.95976 | −0.236970 | ||||||||
\(157\) | 3.80048 | + | 11.6967i | 0.303312 | + | 0.933497i | 0.980302 | + | 0.197505i | \(0.0632839\pi\) |
−0.676990 | + | 0.735992i | \(0.736716\pi\) | |||||||
\(158\) | −1.87648 | + | 0.398857i | −0.149284 | + | 0.0317314i | ||||
\(159\) | 7.40359 | − | 5.37902i | 0.587143 | − | 0.426584i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −10.5318 | − | 18.2416i | −0.830021 | − | 1.43764i | ||||
\(162\) | 0.913545 | + | 0.406737i | 0.0717749 | + | 0.0319562i | ||||
\(163\) | 6.71673 | + | 4.87999i | 0.526095 | + | 0.382230i | 0.818895 | − | 0.573943i | \(-0.194587\pi\) |
−0.292800 | + | 0.956174i | \(0.594587\pi\) | |||||||
\(164\) | −9.40463 | + | 4.18721i | −0.734378 | + | 0.326966i | ||||
\(165\) | 3.85604 | + | 0.819627i | 0.300193 | + | 0.0638079i | ||||
\(166\) | −1.10228 | − | 10.4875i | −0.0855538 | − | 0.813990i | ||||
\(167\) | 1.35504 | − | 1.50493i | 0.104857 | − | 0.116455i | −0.688432 | − | 0.725301i | \(-0.741701\pi\) |
0.793288 | + | 0.608846i | \(0.208367\pi\) | |||||||
\(168\) | −2.33680 | − | 2.59528i | −0.180288 | − | 0.200230i | ||||
\(169\) | 0.443182 | − | 4.21660i | 0.0340909 | − | 0.324354i | ||||
\(170\) | 2.47815 | − | 7.62695i | 0.190065 | − | 0.584961i | ||||
\(171\) | −1.08649 | + | 3.34389i | −0.0830863 | + | 0.255713i | ||||
\(172\) | 0.746567 | − | 7.10311i | 0.0569252 | − | 0.541607i | ||||
\(173\) | 7.97598 | + | 8.85822i | 0.606402 | + | 0.673478i | 0.965675 | − | 0.259755i | \(-0.0836418\pi\) |
−0.359272 | + | 0.933233i | \(0.616975\pi\) | |||||||
\(174\) | −3.10879 | + | 3.45266i | −0.235677 | + | 0.261746i | ||||
\(175\) | −0.365044 | − | 3.47316i | −0.0275947 | − | 0.262546i | ||||
\(176\) | 3.85604 | + | 0.819627i | 0.290660 | + | 0.0617817i | ||||
\(177\) | −12.4406 | + | 5.53891i | −0.935093 | + | 0.416330i | ||||
\(178\) | 2.70979 | + | 1.96878i | 0.203107 | + | 0.147566i | ||||
\(179\) | −7.09527 | − | 3.15902i | −0.530325 | − | 0.236116i | 0.124063 | − | 0.992274i | \(-0.460407\pi\) |
−0.654389 | + | 0.756158i | \(0.727074\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | −6.27701 | + | 10.8721i | −0.466566 | + | 0.808116i | −0.999271 | − | 0.0381850i | \(-0.987842\pi\) |
0.532705 | + | 0.846301i | \(0.321176\pi\) | |||||||
\(182\) | −8.36228 | + | 6.07555i | −0.619854 | + | 0.450350i | ||||
\(183\) | −10.1214 | + | 2.15137i | −0.748194 | + | 0.159033i | ||||
\(184\) | 1.86382 | + | 5.73624i | 0.137403 | + | 0.422882i | ||||
\(185\) | 9.73747 | 0.715913 | ||||||||
\(186\) | 5.56334 | − | 0.221805i | 0.407924 | − | 0.0162636i | ||||
\(187\) | 31.6142 | 2.31186 | ||||||||
\(188\) | −1.34327 | − | 4.13417i | −0.0979683 | − | 0.301515i | ||||
\(189\) | 3.41598 | − | 0.726089i | 0.248476 | − | 0.0528152i | ||||
\(190\) | −2.84448 | + | 2.06664i | −0.206360 | + | 0.149929i | ||||
\(191\) | −10.2917 | + | 17.8258i | −0.744682 | + | 1.28983i | 0.205661 | + | 0.978623i | \(0.434065\pi\) |
−0.950343 | + | 0.311204i | \(0.899268\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | 5.43690 | + | 2.42066i | 0.391356 | + | 0.174243i | 0.592975 | − | 0.805221i | \(-0.297953\pi\) |
−0.201618 | + | 0.979464i | \(0.564620\pi\) | |||||||
\(194\) | −1.10581 | − | 0.803415i | −0.0793923 | − | 0.0576819i | ||||
\(195\) | 2.70387 | − | 1.20384i | 0.193629 | − | 0.0862090i | ||||
\(196\) | −5.08257 | − | 1.08033i | −0.363041 | − | 0.0771667i | ||||
\(197\) | −1.35257 | − | 12.8689i | −0.0963668 | − | 0.916869i | −0.930743 | − | 0.365674i | \(-0.880839\pi\) |
0.834376 | − | 0.551195i | \(-0.185828\pi\) | |||||||
\(198\) | −2.63784 | + | 2.92962i | −0.187463 | + | 0.208199i | ||||
\(199\) | −6.57164 | − | 7.29854i | −0.465851 | − | 0.517380i | 0.463741 | − | 0.885971i | \(-0.346507\pi\) |
−0.929592 | + | 0.368591i | \(0.879840\pi\) | |||||||
\(200\) | −0.104528 | + | 0.994522i | −0.00739128 | + | 0.0703233i | ||||
\(201\) | 2.03139 | − | 6.25199i | 0.143284 | − | 0.440981i | ||||
\(202\) | 4.96770 | − | 15.2890i | 0.349526 | − | 1.07573i | ||||
\(203\) | −1.69600 | + | 16.1364i | −0.119036 | + | 1.13255i | ||||
\(204\) | 5.36606 | + | 5.95962i | 0.375700 | + | 0.417257i | ||||
\(205\) | 6.88847 | − | 7.65042i | 0.481111 | − | 0.534328i | ||||
\(206\) | −1.60056 | − | 15.2284i | −0.111517 | − | 1.06101i | ||||
\(207\) | −5.89964 | − | 1.25401i | −0.410054 | − | 0.0871596i | ||||
\(208\) | 2.70387 | − | 1.20384i | 0.187480 | − | 0.0834715i | ||||
\(209\) | −11.2135 | − | 8.14707i | −0.775652 | − | 0.563545i | ||||
\(210\) | 3.19037 | + | 1.42044i | 0.220156 | + | 0.0980199i | ||||
\(211\) | −0.977516 | − | 1.69311i | −0.0672950 | − | 0.116558i | 0.830415 | − | 0.557146i | \(-0.188104\pi\) |
−0.897710 | + | 0.440587i | \(0.854770\pi\) | |||||||
\(212\) | −4.57567 | + | 7.92530i | −0.314258 | + | 0.544312i | ||||
\(213\) | 10.5632 | − | 7.67459i | 0.723776 | − | 0.525854i | ||||
\(214\) | 13.8822 | − | 2.95075i | 0.948968 | − | 0.201709i | ||||
\(215\) | 2.20707 | + | 6.79267i | 0.150521 | + | 0.463256i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 15.2630 | − | 12.0467i | 1.03612 | − | 0.817780i | ||||
\(218\) | 8.06077 | 0.545944 | ||||||||
\(219\) | 0.00756572 | + | 0.0232849i | 0.000511244 | + | 0.00157345i | ||||
\(220\) | −3.85604 | + | 0.819627i | −0.259974 | + | 0.0552593i | ||||
\(221\) | 19.2025 | − | 13.9515i | 1.29170 | − | 0.938477i | ||||
\(222\) | −4.86873 | + | 8.43289i | −0.326768 | + | 0.565979i | ||||
\(223\) | −1.44258 | − | 2.49863i | −0.0966025 | − | 0.167320i | 0.813674 | − | 0.581322i | \(-0.197464\pi\) |
−0.910276 | + | 0.414001i | \(0.864131\pi\) | |||||||
\(224\) | 3.19037 | + | 1.42044i | 0.213166 | + | 0.0949074i | ||||
\(225\) | −0.809017 | − | 0.587785i | −0.0539345 | − | 0.0391857i | ||||
\(226\) | 12.0583 | − | 5.36871i | 0.802107 | − | 0.357121i | ||||
\(227\) | −6.39246 | − | 1.35876i | −0.424282 | − | 0.0901840i | −0.00917810 | − | 0.999958i | \(-0.502922\pi\) |
−0.415104 | + | 0.909774i | \(0.636255\pi\) | |||||||
\(228\) | −0.367519 | − | 3.49671i | −0.0243395 | − | 0.231575i | ||||
\(229\) | 18.7459 | − | 20.8194i | 1.23876 | − | 1.37578i | 0.338188 | − | 0.941079i | \(-0.390186\pi\) |
0.900573 | − | 0.434705i | \(-0.143147\pi\) | |||||||
\(230\) | −4.03582 | − | 4.48224i | −0.266114 | − | 0.295550i | ||||
\(231\) | −1.43907 | + | 13.6919i | −0.0946841 | + | 0.900859i | ||||
\(232\) | 1.43570 | − | 4.41862i | 0.0942582 | − | 0.290097i | ||||
\(233\) | −3.49734 | + | 10.7637i | −0.229118 | + | 0.705153i | 0.768729 | + | 0.639574i | \(0.220889\pi\) |
−0.997847 | + | 0.0655789i | \(0.979111\pi\) | |||||||
\(234\) | −0.309379 | + | 2.94355i | −0.0202247 | + | 0.192426i | ||||
\(235\) | 2.90866 | + | 3.23039i | 0.189740 | + | 0.210728i | ||||
\(236\) | 9.11218 | − | 10.1201i | 0.593152 | − | 0.658762i | ||||
\(237\) | 0.200527 | + | 1.90789i | 0.0130256 | + | 0.123931i | ||||
\(238\) | 27.3943 | + | 5.82284i | 1.77571 | + | 0.377438i | ||||
\(239\) | −25.0952 | + | 11.1731i | −1.62328 | + | 0.722729i | −0.998321 | − | 0.0579317i | \(-0.981549\pi\) |
−0.624955 | + | 0.780661i | \(0.714883\pi\) | |||||||
\(240\) | −0.809017 | − | 0.587785i | −0.0522218 | − | 0.0379414i | ||||
\(241\) | −3.36085 | − | 1.49635i | −0.216491 | − | 0.0963882i | 0.295626 | − | 0.955304i | \(-0.404472\pi\) |
−0.512117 | + | 0.858916i | \(0.671139\pi\) | |||||||
\(242\) | −2.27043 | − | 3.93250i | −0.145949 | − | 0.252791i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 8.37130 | − | 6.08210i | 0.535917 | − | 0.389367i | ||||
\(245\) | 5.08257 | − | 1.08033i | 0.324714 | − | 0.0690200i | ||||
\(246\) | 3.18122 | + | 9.79080i | 0.202827 | + | 0.624238i | ||||
\(247\) | −10.4064 | −0.662145 | ||||||||
\(248\) | −4.99215 | + | 2.46545i | −0.317002 | + | 0.156556i | ||||
\(249\) | −10.5453 | −0.668281 | ||||||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −3.67537 | + | 0.781223i | −0.231987 | + | 0.0493104i | −0.322438 | − | 0.946591i | \(-0.604502\pi\) |
0.0904511 | + | 0.995901i | \(0.471169\pi\) | |||||||
\(252\) | −2.82533 | + | 2.05272i | −0.177979 | + | 0.129309i | ||||
\(253\) | 11.8886 | − | 20.5916i | 0.747427 | − | 1.29458i | ||||
\(254\) | 4.79791 | + | 8.31022i | 0.301047 | + | 0.521430i | ||||
\(255\) | −7.32614 | − | 3.26181i | −0.458780 | − | 0.204262i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 9.14120 | − | 4.06992i | 0.570212 | − | 0.253875i | −0.101315 | − | 0.994854i | \(-0.532305\pi\) |
0.671528 | + | 0.740980i | \(0.265638\pi\) | |||||||
\(258\) | −6.98616 | − | 1.48496i | −0.434940 | − | 0.0924493i | ||||
\(259\) | 3.55460 | + | 33.8198i | 0.220872 | + | 2.10146i | ||||
\(260\) | −1.98047 | + | 2.19953i | −0.122823 | + | 0.136409i | ||||
\(261\) | 3.10879 | + | 3.45266i | 0.192429 | + | 0.213714i | ||||
\(262\) | 0.661072 | − | 6.28968i | 0.0408412 | − | 0.388578i | ||||
\(263\) | 6.27414 | − | 19.3098i | 0.386880 | − | 1.19069i | −0.548227 | − | 0.836329i | \(-0.684697\pi\) |
0.935107 | − | 0.354365i | \(-0.115303\pi\) | |||||||
\(264\) | 1.21820 | − | 3.74925i | 0.0749753 | − | 0.230750i | ||||
\(265\) | 0.956576 | − | 9.10121i | 0.0587620 | − | 0.559083i | ||||
\(266\) | −8.21612 | − | 9.12493i | −0.503763 | − | 0.559485i | ||||
\(267\) | 2.24124 | − | 2.48915i | 0.137162 | − | 0.152334i | ||||
\(268\) | 0.687142 | + | 6.53772i | 0.0419739 | + | 0.399355i | ||||
\(269\) | −14.0201 | − | 2.98007i | −0.854821 | − | 0.181698i | −0.240398 | − | 0.970674i | \(-0.577278\pi\) |
−0.614423 | + | 0.788977i | \(0.710611\pi\) | |||||||
\(270\) | 0.913545 | − | 0.406737i | 0.0555966 | − | 0.0247532i | ||||
\(271\) | −20.3135 | − | 14.7586i | −1.23396 | − | 0.896524i | −0.236779 | − | 0.971564i | \(-0.576092\pi\) |
−0.997181 | + | 0.0750397i | \(0.976092\pi\) | |||||||
\(272\) | −7.32614 | − | 3.26181i | −0.444212 | − | 0.197776i | ||||
\(273\) | 5.16818 | + | 8.95154i | 0.312792 | + | 0.541772i | ||||
\(274\) | −0.456911 | + | 0.791393i | −0.0276030 | + | 0.0478098i | ||||
\(275\) | 3.18930 | − | 2.31716i | 0.192322 | − | 0.139730i | ||||
\(276\) | 5.89964 | − | 1.25401i | 0.355117 | − | 0.0754824i | ||||
\(277\) | 2.81423 | + | 8.66130i | 0.169090 | + | 0.520407i | 0.999314 | − | 0.0370230i | \(-0.0117875\pi\) |
−0.830224 | + | 0.557430i | \(0.811787\pi\) | |||||||
\(278\) | −12.6336 | −0.757713 | ||||||||
\(279\) | 0.360938 | − | 5.55605i | 0.0216088 | − | 0.332632i | ||||
\(280\) | −3.49229 | −0.208704 | ||||||||
\(281\) | −9.45482 | − | 29.0989i | −0.564027 | − | 1.73590i | −0.670824 | − | 0.741616i | \(-0.734059\pi\) |
0.106797 | − | 0.994281i | \(-0.465941\pi\) | |||||||
\(282\) | −4.25193 | + | 0.903776i | −0.253199 | + | 0.0538191i | ||||
\(283\) | −8.60711 | + | 6.25343i | −0.511640 | + | 0.371728i | −0.813445 | − | 0.581641i | \(-0.802411\pi\) |
0.301805 | + | 0.953370i | \(0.402411\pi\) | |||||||
\(284\) | −6.52839 | + | 11.3075i | −0.387389 | + | 0.670977i | ||||
\(285\) | 1.75798 | + | 3.04492i | 0.104134 | + | 0.180365i | ||||
\(286\) | −10.6592 | − | 4.74578i | −0.630291 | − | 0.280624i | ||||
\(287\) | 29.0857 | + | 21.1320i | 1.71688 | + | 1.24738i | ||||
\(288\) | 0.913545 | − | 0.406737i | 0.0538312 | − | 0.0239672i | ||||
\(289\) | −46.2778 | − | 9.83664i | −2.72222 | − | 0.578626i | ||||
\(290\) | 0.485641 | + | 4.62056i | 0.0285178 | + | 0.271329i | ||||
\(291\) | −0.914603 | + | 1.01577i | −0.0536149 | + | 0.0595454i | ||||
\(292\) | −0.0163824 | − | 0.0181945i | −0.000958710 | − | 0.00106476i | ||||
\(293\) | −2.45530 | + | 23.3606i | −0.143440 | + | 1.36474i | 0.651774 | + | 0.758414i | \(0.274025\pi\) |
−0.795214 | + | 0.606329i | \(0.792641\pi\) | |||||||
\(294\) | −1.60569 | + | 4.94180i | −0.0936457 | + | 0.288212i | ||||
\(295\) | −4.20817 | + | 12.9514i | −0.245009 | + | 0.754061i | ||||
\(296\) | 1.01784 | − | 9.68412i | 0.0591609 | − | 0.562878i | ||||
\(297\) | 2.63784 | + | 2.92962i | 0.153063 | + | 0.169994i | ||||
\(298\) | 13.7227 | − | 15.2406i | 0.794936 | − | 0.882866i | ||||
\(299\) | −1.86600 | − | 17.7538i | −0.107914 | − | 1.02673i | ||||
\(300\) | 0.978148 | + | 0.207912i | 0.0564734 | + | 0.0120038i | ||||
\(301\) | −22.7864 | + | 10.1452i | −1.31339 | + | 0.584757i | ||||
\(302\) | −2.98570 | − | 2.16924i | −0.171808 | − | 0.124826i | ||||
\(303\) | −14.6860 | − | 6.53863i | −0.843689 | − | 0.375634i | ||||
\(304\) | 1.75798 | + | 3.04492i | 0.100827 | + | 0.174638i | ||||
\(305\) | −5.17375 | + | 8.96119i | −0.296248 | + | 0.513116i | ||||
\(306\) | 6.48787 | − | 4.71372i | 0.370887 | − | 0.269465i | ||||
\(307\) | −1.96771 | + | 0.418251i | −0.112303 | + | 0.0238708i | −0.263721 | − | 0.964599i | \(-0.584950\pi\) |
0.151417 | + | 0.988470i | \(0.451616\pi\) | |||||||
\(308\) | −4.25433 | − | 13.0935i | −0.242413 | − | 0.746070i | ||||
\(309\) | −15.3122 | −0.871083 | ||||||||
\(310\) | 3.55777 | − | 4.28279i | 0.202068 | − | 0.243246i | ||||
\(311\) | 30.8324 | 1.74834 | 0.874172 | − | 0.485616i | \(-0.161405\pi\) | ||||
0.874172 | + | 0.485616i | \(0.161405\pi\) | |||||||
\(312\) | −0.914616 | − | 2.81490i | −0.0517799 | − | 0.159362i | ||||
\(313\) | −9.51265 | + | 2.02198i | −0.537687 | + | 0.114289i | −0.468748 | − | 0.883332i | \(-0.655295\pi\) |
−0.0689389 | + | 0.997621i | \(0.521961\pi\) | |||||||
\(314\) | −9.94979 | + | 7.22895i | −0.561499 | + | 0.407953i | ||||
\(315\) | 1.74615 | − | 3.02442i | 0.0983842 | − | 0.170407i | ||||
\(316\) | −0.959199 | − | 1.66138i | −0.0539592 | − | 0.0934600i | ||||
\(317\) | 1.34852 | + | 0.600399i | 0.0757403 | + | 0.0337218i | 0.444257 | − | 0.895899i | \(-0.353468\pi\) |
−0.368517 | + | 0.929621i | \(0.620134\pi\) | |||||||
\(318\) | 7.40359 | + | 5.37902i | 0.415173 | + | 0.301641i | ||||
\(319\) | −16.7320 | + | 7.44957i | −0.936813 | + | 0.417096i | ||||
\(320\) | 0.978148 | + | 0.207912i | 0.0546801 | + | 0.0116226i | ||||
\(321\) | −1.48350 | − | 14.1146i | −0.0828011 | − | 0.787800i | ||||
\(322\) | 14.0943 | − | 15.6533i | 0.785444 | − | 0.872324i | ||||
\(323\) | 18.8669 | + | 20.9538i | 1.04978 | + | 1.16590i | ||||
\(324\) | −0.104528 | + | 0.994522i | −0.00580714 | + | 0.0552512i | ||||
\(325\) | 0.914616 | − | 2.81490i | 0.0507338 | − | 0.156142i | ||||
\(326\) | −2.56556 | + | 7.89599i | −0.142093 | + | 0.437319i | ||||
\(327\) | 0.842580 | − | 8.01661i | 0.0465948 | − | 0.443320i | ||||
\(328\) | −6.88847 | − | 7.65042i | −0.380352 | − | 0.422424i | ||||
\(329\) | −10.1579 | + | 11.2815i | −0.560023 | + | 0.621968i | ||||
\(330\) | 0.412071 | + | 3.92059i | 0.0226838 | + | 0.215822i | ||||
\(331\) | 30.1049 | + | 6.39900i | 1.65472 | + | 0.351721i | 0.938266 | − | 0.345916i | \(-0.112432\pi\) |
0.716452 | + | 0.697637i | \(0.245765\pi\) | |||||||
\(332\) | 9.63361 | − | 4.28916i | 0.528713 | − | 0.235398i | ||||
\(333\) | 7.87778 | + | 5.72354i | 0.431699 | + | 0.313648i | ||||
\(334\) | 1.85001 | + | 0.823675i | 0.101228 | + | 0.0450695i | ||||
\(335\) | −3.28687 | − | 5.69302i | −0.179581 | − | 0.311043i | ||||
\(336\) | 1.74615 | − | 3.02442i | 0.0952601 | − | 0.164995i | ||||
\(337\) | 16.8165 | − | 12.2179i | 0.916055 | − | 0.665553i | −0.0264839 | − | 0.999649i | \(-0.508431\pi\) |
0.942539 | + | 0.334096i | \(0.108431\pi\) | |||||||
\(338\) | 4.14717 | − | 0.881509i | 0.225576 | − | 0.0479478i | ||||
\(339\) | −4.07886 | − | 12.5534i | −0.221533 | − | 0.681809i | ||||
\(340\) | 8.01945 | 0.434916 | ||||||||
\(341\) | 20.3913 | + | 8.12165i | 1.10425 | + | 0.439812i | ||||
\(342\) | −3.51597 | −0.190122 | ||||||||
\(343\) | −1.94671 | − | 5.99136i | −0.105112 | − | 0.323503i | ||||
\(344\) | 6.98616 | − | 1.48496i | 0.376669 | − | 0.0800634i | ||||
\(345\) | −4.87954 | + | 3.54519i | −0.262706 | + | 0.190867i | ||||
\(346\) | −5.95995 | + | 10.3229i | −0.320409 | + | 0.554965i | ||||
\(347\) | −1.32012 | − | 2.28651i | −0.0708676 | − | 0.122746i | 0.828414 | − | 0.560116i | \(-0.189243\pi\) |
−0.899282 | + | 0.437370i | \(0.855910\pi\) | |||||||
\(348\) | −4.24435 | − | 1.88970i | −0.227521 | − | 0.101299i | ||||
\(349\) | −7.06145 | − | 5.13044i | −0.377991 | − | 0.274626i | 0.382526 | − | 0.923945i | \(-0.375054\pi\) |
−0.760517 | + | 0.649318i | \(0.775054\pi\) | |||||||
\(350\) | 3.19037 | − | 1.42044i | 0.170532 | − | 0.0759259i | ||||
\(351\) | 2.89508 | + | 0.615369i | 0.154528 | + | 0.0328459i | ||||
\(352\) | 0.412071 | + | 3.92059i | 0.0219635 | + | 0.208968i | ||||
\(353\) | −5.14815 | + | 5.71760i | −0.274008 | + | 0.304317i | −0.864405 | − | 0.502796i | \(-0.832305\pi\) |
0.590397 | + | 0.807113i | \(0.298971\pi\) | |||||||
\(354\) | −9.11218 | − | 10.1201i | −0.484307 | − | 0.537877i | ||||
\(355\) | 1.36481 | − | 12.9853i | 0.0724364 | − | 0.689186i | ||||
\(356\) | −1.03505 | + | 3.18555i | −0.0548574 | + | 0.168834i | ||||
\(357\) | 8.65442 | − | 26.6356i | 0.458040 | − | 1.40970i | ||||
\(358\) | 0.811845 | − | 7.72419i | 0.0429074 | − | 0.408236i | ||||
\(359\) | −14.4370 | − | 16.0339i | −0.761956 | − | 0.846238i | 0.229951 | − | 0.973202i | \(-0.426143\pi\) |
−0.991907 | + | 0.126964i | \(0.959477\pi\) | |||||||
\(360\) | −0.669131 | + | 0.743145i | −0.0352663 | + | 0.0391672i | ||||
\(361\) | 0.693856 | + | 6.60159i | 0.0365187 | + | 0.347452i | ||||
\(362\) | −12.2797 | − | 2.61013i | −0.645405 | − | 0.137185i | ||||
\(363\) | −4.14829 | + | 1.84694i | −0.217729 | + | 0.0969390i | ||||
\(364\) | −8.36228 | − | 6.07555i | −0.438303 | − | 0.318446i | ||||
\(365\) | 0.0223665 | + | 0.00995820i | 0.00117072 | + | 0.000521236i | ||||
\(366\) | −5.17375 | − | 8.96119i | −0.270436 | − | 0.468409i | ||||
\(367\) | −3.54058 | + | 6.13246i | −0.184817 | + | 0.320112i | −0.943515 | − | 0.331331i | \(-0.892502\pi\) |
0.758698 | + | 0.651442i | \(0.225836\pi\) | |||||||
\(368\) | −4.87954 | + | 3.54519i | −0.254364 | + | 0.184806i | ||||
\(369\) | 10.0697 | − | 2.14038i | 0.524207 | − | 0.111424i | ||||
\(370\) | 3.00904 | + | 9.26088i | 0.156433 | + | 0.481450i | ||||
\(371\) | 31.9592 | 1.65924 | ||||||||
\(372\) | 1.93012 | + | 5.22251i | 0.100072 | + | 0.270775i | ||||
\(373\) | 18.2472 | 0.944803 | 0.472401 | − | 0.881384i | \(-0.343387\pi\) | ||||
0.472401 | + | 0.881384i | \(0.343387\pi\) | |||||||
\(374\) | 9.76933 | + | 30.0669i | 0.505160 | + | 1.55472i | ||||
\(375\) | −0.978148 | + | 0.207912i | −0.0505113 | + | 0.0107365i | ||||
\(376\) | 3.51673 | − | 2.55506i | 0.181362 | − | 0.131767i | ||||
\(377\) | −6.87554 | + | 11.9088i | −0.354108 | + | 0.613334i | ||||
\(378\) | 1.74615 | + | 3.02442i | 0.0898121 | + | 0.155559i | ||||
\(379\) | 23.7635 | + | 10.5802i | 1.22065 | + | 0.543468i | 0.912972 | − | 0.408023i | \(-0.133782\pi\) |
0.307677 | + | 0.951491i | \(0.400448\pi\) | |||||||
\(380\) | −2.84448 | − | 2.06664i | −0.145919 | − | 0.106016i | ||||
\(381\) | 8.76621 | − | 3.90297i | 0.449107 | − | 0.199955i | ||||
\(382\) | −20.1336 | − | 4.27953i | −1.03013 | − | 0.218960i | ||||
\(383\) | 1.27309 | + | 12.1126i | 0.0650517 | + | 0.618926i | 0.977675 | + | 0.210124i | \(0.0673866\pi\) |
−0.912623 | + | 0.408802i | \(0.865947\pi\) | |||||||
\(384\) | −0.669131 | + | 0.743145i | −0.0341464 | + | 0.0379235i | ||||
\(385\) | 9.21211 | + | 10.2311i | 0.469493 | + | 0.521425i | ||||
\(386\) | −0.622093 | + | 5.91882i | −0.0316637 | + | 0.301260i | ||||
\(387\) | −2.20707 | + | 6.79267i | −0.112192 | + | 0.345291i | ||||
\(388\) | 0.422380 | − | 1.29995i | 0.0214431 | − | 0.0659951i | ||||
\(389\) | 1.52822 | − | 14.5400i | 0.0774836 | − | 0.737208i | −0.884949 | − | 0.465688i | \(-0.845807\pi\) |
0.962433 | − | 0.271520i | \(-0.0875263\pi\) | |||||||
\(390\) | 1.98047 | + | 2.19953i | 0.100285 | + | 0.111378i | ||||
\(391\) | −32.3651 | + | 35.9451i | −1.63677 | + | 1.81782i | ||||
\(392\) | −0.543142 | − | 5.16765i | −0.0274328 | − | 0.261006i | ||||
\(393\) | −6.18613 | − | 1.31490i | −0.312049 | − | 0.0663280i | ||||
\(394\) | 11.8211 | − | 5.26307i | 0.595536 | − | 0.265150i | ||||
\(395\) | 1.55202 | + | 1.12761i | 0.0780905 | + | 0.0567360i | ||||
\(396\) | −3.60137 | − | 1.60343i | −0.180976 | − | 0.0805756i | ||||
\(397\) | 8.50496 | + | 14.7310i | 0.426852 | + | 0.739329i | 0.996591 | − | 0.0824963i | \(-0.0262893\pi\) |
−0.569740 | + | 0.821825i | \(0.692956\pi\) | |||||||
\(398\) | 4.91058 | − | 8.50537i | 0.246145 | − | 0.426336i | ||||
\(399\) | −9.93376 | + | 7.21730i | −0.497310 | + | 0.361317i | ||||
\(400\) | −0.978148 | + | 0.207912i | −0.0489074 | + | 0.0103956i | ||||
\(401\) | 11.1483 | + | 34.3108i | 0.556717 | + | 1.71340i | 0.691364 | + | 0.722507i | \(0.257010\pi\) |
−0.134647 | + | 0.990894i | \(0.542990\pi\) | |||||||
\(402\) | 6.57373 | 0.327868 | ||||||||
\(403\) | 15.9698 | − | 4.06565i | 0.795515 | − | 0.202525i | ||||
\(404\) | 16.0758 | 0.799802 | ||||||||
\(405\) | −0.309017 | − | 0.951057i | −0.0153552 | − | 0.0472584i | ||||
\(406\) | −15.8707 | + | 3.37342i | −0.787649 | + | 0.167420i | ||||
\(407\) | −31.0557 | + | 22.5633i | −1.53937 | + | 1.11842i | ||||
\(408\) | −4.00973 | + | 6.94505i | −0.198511 | + | 0.343831i | ||||
\(409\) | −4.39322 | − | 7.60928i | −0.217231 | − | 0.376255i | 0.736730 | − | 0.676187i | \(-0.236369\pi\) |
−0.953960 | + | 0.299933i | \(0.903036\pi\) | |||||||
\(410\) | 9.40463 | + | 4.18721i | 0.464462 | + | 0.206792i | ||||
\(411\) | 0.739297 | + | 0.537131i | 0.0364668 | + | 0.0264947i | ||||
\(412\) | 13.9884 | − | 6.22805i | 0.689160 | − | 0.306834i | ||||
\(413\) | −46.5186 | − | 9.88783i | −2.28903 | − | 0.486548i | ||||
\(414\) | −0.630458 | − | 5.99840i | −0.0309853 | − | 0.294805i | ||||
\(415\) | −7.05618 | + | 7.83669i | −0.346374 | + | 0.384688i | ||||
\(416\) | 1.98047 | + | 2.19953i | 0.0971003 | + | 0.107841i | ||||
\(417\) | −1.32057 | + | 12.5644i | −0.0646687 | + | 0.615281i | ||||
\(418\) | 4.28317 | − | 13.1822i | 0.209497 | − | 0.644764i | ||||
\(419\) | −2.26594 | + | 6.97385i | −0.110698 | + | 0.340695i | −0.991026 | − | 0.133672i | \(-0.957323\pi\) |
0.880327 | + | 0.474367i | \(0.157323\pi\) | |||||||
\(420\) | −0.365044 | + | 3.47316i | −0.0178123 | + | 0.169473i | ||||
\(421\) | −25.2705 | − | 28.0658i | −1.23161 | − | 1.36784i | −0.906522 | − | 0.422159i | \(-0.861273\pi\) |
−0.325089 | − | 0.945684i | \(-0.605394\pi\) | |||||||
\(422\) | 1.30817 | − | 1.45287i | 0.0636808 | − | 0.0707247i | ||||
\(423\) | 0.454377 | + | 4.32311i | 0.0220926 | + | 0.210197i | ||||
\(424\) | −8.95136 | − | 1.90267i | −0.434717 | − | 0.0924019i | ||||
\(425\) | −7.32614 | + | 3.26181i | −0.355370 | + | 0.158221i | ||||
\(426\) | 10.5632 | + | 7.67459i | 0.511787 | + | 0.371835i | ||||
\(427\) | −33.0123 | − | 14.6980i | −1.59758 | − | 0.711288i | ||||
\(428\) | 7.09617 | + | 12.2909i | 0.343006 | + | 0.594104i | ||||
\(429\) | −5.83397 | + | 10.1047i | −0.281667 | + | 0.487861i | ||||
\(430\) | −5.77819 | + | 4.19810i | −0.278649 | + | 0.202450i | ||||
\(431\) | 30.2994 | − | 6.44035i | 1.45947 | − | 0.310221i | 0.591288 | − | 0.806461i | \(-0.298620\pi\) |
0.868185 | + | 0.496240i | \(0.165286\pi\) | |||||||
\(432\) | −0.309017 | − | 0.951057i | −0.0148676 | − | 0.0457577i | ||||
\(433\) | −0.0384231 | −0.00184649 | −0.000923247 | − | 1.00000i | \(-0.500294\pi\) | ||||
−0.000923247 | 1.00000i | \(0.500294\pi\) | ||||||||
\(434\) | 16.1736 | + | 10.7933i | 0.776356 | + | 0.518095i | ||||
\(435\) | 4.64601 | 0.222759 | ||||||||
\(436\) | 2.49092 | + | 7.66625i | 0.119293 | + | 0.367147i | ||||
\(437\) | 20.7430 | − | 4.40905i | 0.992271 | − | 0.210914i | ||||
\(438\) | −0.0198073 | + | 0.0143908i | −0.000946430 | + | 0.000687621i | ||||
\(439\) | 6.64782 | − | 11.5144i | 0.317283 | − | 0.549550i | −0.662637 | − | 0.748941i | \(-0.730563\pi\) |
0.979920 | + | 0.199390i | \(0.0638961\pi\) | |||||||
\(440\) | −1.97110 | − | 3.41404i | −0.0939683 | − | 0.162758i | ||||
\(441\) | 4.74689 | + | 2.11345i | 0.226042 | + | 0.100641i | ||||
\(442\) | 19.2025 | + | 13.9515i | 0.913372 | + | 0.663604i | ||||
\(443\) | 13.8586 | − | 6.17024i | 0.658441 | − | 0.293157i | −0.0501862 | − | 0.998740i | \(-0.515981\pi\) |
0.708627 | + | 0.705583i | \(0.249315\pi\) | |||||||
\(444\) | −9.52468 | − | 2.02453i | −0.452021 | − | 0.0960801i | ||||
\(445\) | −0.350116 | − | 3.33114i | −0.0165971 | − | 0.157911i | ||||
\(446\) | 1.93055 | − | 2.14410i | 0.0914143 | − | 0.101526i | ||||
\(447\) | −13.7227 | − | 15.2406i | −0.649062 | − | 0.720857i | ||||
\(448\) | −0.365044 | + | 3.47316i | −0.0172467 | + | 0.164092i | ||||
\(449\) | 2.24576 | − | 6.91173i | 0.105984 | − | 0.326185i | −0.883976 | − | 0.467532i | \(-0.845143\pi\) |
0.989960 | + | 0.141347i | \(0.0451433\pi\) | |||||||
\(450\) | 0.309017 | − | 0.951057i | 0.0145672 | − | 0.0448332i | ||||
\(451\) | −4.24213 | + | 40.3612i | −0.199754 | + | 1.90053i | ||||
\(452\) | 8.83217 | + | 9.80912i | 0.415430 | + | 0.461382i | ||||
\(453\) | −2.46945 | + | 2.74260i | −0.116025 | + | 0.128859i | ||||
\(454\) | −0.683121 | − | 6.49947i | −0.0320605 | − | 0.305035i | ||||
\(455\) | 10.1105 | + | 2.14905i | 0.473986 | + | 0.100749i | ||||
\(456\) | 3.21200 | − | 1.43007i | 0.150416 | − | 0.0669693i | ||||
\(457\) | 15.8135 | + | 11.4892i | 0.739726 | + | 0.537443i | 0.892625 | − | 0.450799i | \(-0.148861\pi\) |
−0.152899 | + | 0.988242i | \(0.548861\pi\) | |||||||
\(458\) | 25.5932 | + | 11.3948i | 1.19589 | + | 0.532445i | ||||
\(459\) | −4.00973 | − | 6.94505i | −0.187158 | − | 0.324167i | ||||
\(460\) | 3.01572 | − | 5.22338i | 0.140609 | − | 0.243542i | ||||
\(461\) | −20.5384 | + | 14.9221i | −0.956571 | + | 0.694989i | −0.952352 | − | 0.305002i | \(-0.901343\pi\) |
−0.00421894 | + | 0.999991i | \(0.501343\pi\) | |||||||
\(462\) | −13.4664 | + | 2.86238i | −0.626515 | + | 0.133170i | ||||
\(463\) | 5.37341 | + | 16.5377i | 0.249724 | + | 0.768570i | 0.994824 | + | 0.101617i | \(0.0324018\pi\) |
−0.745100 | + | 0.666953i | \(0.767598\pi\) | |||||||
\(464\) | 4.64601 | 0.215686 | ||||||||
\(465\) | −3.88744 | − | 3.98595i | −0.180276 | − | 0.184844i | ||||
\(466\) | −11.3176 | −0.524279 | ||||||||
\(467\) | 10.4566 | + | 32.1822i | 0.483875 | + | 1.48921i | 0.833604 | + | 0.552362i | \(0.186274\pi\) |
−0.349729 | + | 0.936851i | \(0.613726\pi\) | |||||||
\(468\) | −2.89508 | + | 0.615369i | −0.133825 | + | 0.0284454i | ||||
\(469\) | 18.5729 | − | 13.4940i | 0.857618 | − | 0.623096i | ||||
\(470\) | −2.17346 | + | 3.76455i | −0.100254 | + | 0.173646i | ||||
\(471\) | 6.14931 | + | 10.6509i | 0.283345 | + | 0.490768i | ||||
\(472\) | 12.4406 | + | 5.53891i | 0.572625 | + | 0.254949i | ||||
\(473\) | −22.7787 | − | 16.5497i | −1.04737 | − | 0.760957i | ||||
\(474\) | −1.75254 | + | 0.780283i | −0.0804970 | + | 0.0358396i | ||||
\(475\) | 3.43914 | + | 0.731011i | 0.157798 | + | 0.0335411i | ||||
\(476\) | 2.92745 | + | 27.8529i | 0.134180 | + | 1.27663i | ||||
\(477\) | 6.12344 | − | 6.80077i | 0.280373 | − | 0.311386i | ||||
\(478\) | −18.3811 | − | 20.4143i | −0.840733 | − | 0.933728i | ||||
\(479\) | 1.51370 | − | 14.4019i | 0.0691629 | − | 0.658041i | −0.903938 | − | 0.427663i | \(-0.859337\pi\) |
0.973101 | − | 0.230378i | \(-0.0739962\pi\) | |||||||
\(480\) | 0.309017 | − | 0.951057i | 0.0141046 | − | 0.0434096i | ||||
\(481\) | −8.90604 | + | 27.4100i | −0.406081 | + | 1.24979i | ||||
\(482\) | 0.384551 | − | 3.65876i | 0.0175158 | − | 0.166652i | ||||
\(483\) | −14.0943 | − | 15.6533i | −0.641312 | − | 0.712249i | ||||
\(484\) | 3.03843 | − | 3.37452i | 0.138110 | − | 0.153387i | ||||
\(485\) | 0.142875 | + | 1.35936i | 0.00648762 | + | 0.0617256i | ||||
\(486\) | 0.978148 | + | 0.207912i | 0.0443697 | + | 0.00943107i | ||||
\(487\) | −7.41986 | + | 3.30353i | −0.336226 | + | 0.149697i | −0.567903 | − | 0.823095i | \(-0.692245\pi\) |
0.231677 | + | 0.972793i | \(0.425579\pi\) | |||||||
\(488\) | 8.37130 | + | 6.08210i | 0.378951 | + | 0.275324i | ||||
\(489\) | 7.58456 | + | 3.37686i | 0.342986 | + | 0.152707i | ||||
\(490\) | 2.59806 | + | 4.49997i | 0.117368 | + | 0.203288i | ||||
\(491\) | −21.7682 | + | 37.7035i | −0.982383 | + | 1.70154i | −0.329350 | + | 0.944208i | \(0.606830\pi\) |
−0.653033 | + | 0.757329i | \(0.726504\pi\) | |||||||
\(492\) | −8.32855 | + | 6.05104i | −0.375480 | + | 0.272802i | ||||
\(493\) | 36.4443 | − | 7.74648i | 1.64137 | − | 0.348884i | ||||
\(494\) | −3.21576 | − | 9.89710i | −0.144684 | − | 0.445291i | ||||
\(495\) | 3.94219 | 0.177188 | ||||||||
\(496\) | −3.88744 | − | 3.98595i | −0.174551 | − | 0.178975i | ||||
\(497\) | 45.5981 | 2.04536 | ||||||||
\(498\) | −3.25868 | − | 10.0292i | −0.146025 | − | 0.449418i | ||||
\(499\) | 16.8048 | − | 3.57197i | 0.752286 | − | 0.159903i | 0.184218 | − | 0.982885i | \(-0.441025\pi\) |
0.568067 | + | 0.822982i | \(0.307691\pi\) | |||||||
\(500\) | 0.809017 | − | 0.587785i | 0.0361803 | − | 0.0262866i | ||||
\(501\) | 1.01254 | − | 1.75377i | 0.0452370 | − | 0.0783528i | ||||
\(502\) | −1.87874 | − | 3.25407i | −0.0838522 | − | 0.145236i | ||||
\(503\) | 11.3827 | + | 5.06793i | 0.507532 | + | 0.225968i | 0.644495 | − | 0.764608i | \(-0.277068\pi\) |
−0.136963 | + | 0.990576i | \(0.543734\pi\) | |||||||
\(504\) | −2.82533 | − | 2.05272i | −0.125850 | − | 0.0914354i | ||||
\(505\) | −14.6860 | + | 6.53863i | −0.653518 | + | 0.290965i | ||||
\(506\) | 23.2575 | + | 4.94354i | 1.03392 | + | 0.219767i | ||||
\(507\) | −0.443182 | − | 4.21660i | −0.0196824 | − | 0.187266i | ||||
\(508\) | −6.42085 | + | 7.13108i | −0.284879 | + | 0.316391i | ||||
\(509\) | 3.42208 | + | 3.80060i | 0.151681 | + | 0.168459i | 0.814196 | − | 0.580589i | \(-0.197178\pi\) |
−0.662516 | + | 0.749048i | \(0.730511\pi\) | |||||||
\(510\) | 0.838261 | − | 7.97552i | 0.0371188 | − | 0.353162i | ||||
\(511\) | −0.0264217 | + | 0.0813177i | −0.00116883 | + | 0.00359728i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −0.367519 | + | 3.49671i | −0.0162264 | + | 0.154383i | ||||
\(514\) | 6.69551 | + | 7.43612i | 0.295326 | + | 0.327993i | ||||
\(515\) | −10.2459 | + | 11.3792i | −0.451488 | + | 0.501428i | ||||
\(516\) | −0.746567 | − | 7.10311i | −0.0328658 | − | 0.312697i | ||||
\(517\) | −16.7619 | − | 3.56286i | −0.737189 | − | 0.156694i | ||||
\(518\) | −31.0661 | + | 13.8315i | −1.36497 | + | 0.607722i | ||||
\(519\) | 9.64341 | + | 7.00635i | 0.423299 | + | 0.307544i | ||||
\(520\) | −2.70387 | − | 1.20384i | −0.118573 | − | 0.0527920i | ||||
\(521\) | 1.54470 | + | 2.67551i | 0.0676747 | + | 0.117216i | 0.897877 | − | 0.440246i | \(-0.145109\pi\) |
−0.830203 | + | 0.557462i | \(0.811775\pi\) | |||||||
\(522\) | −2.32301 | + | 4.02357i | −0.101675 | + | 0.176107i | ||||
\(523\) | −36.1153 | + | 26.2393i | −1.57921 | + | 1.14736i | −0.661617 | + | 0.749842i | \(0.730129\pi\) |
−0.917593 | + | 0.397521i | \(0.869871\pi\) | |||||||
\(524\) | 6.18613 | − | 1.31490i | 0.270242 | − | 0.0574418i | ||||
\(525\) | −1.07918 | − | 3.32137i | −0.0470992 | − | 0.144956i | ||||
\(526\) | 20.3035 | 0.885277 | ||||||||
\(527\) | −37.1398 | − | 24.7850i | −1.61784 | − | 1.07965i | ||||
\(528\) | 3.94219 | 0.171562 | ||||||||
\(529\) | 4.13413 | + | 12.7235i | 0.179745 | + | 0.553198i | ||||
\(530\) | 8.95136 | − | 1.90267i | 0.388822 | − | 0.0826468i | ||||
\(531\) | −11.0171 | + | 8.00442i | −0.478103 | + | 0.347362i | ||||
\(532\) | 6.13940 | − | 10.6338i | 0.266177 | − | 0.461032i | ||||
\(533\) | 15.2348 | + | 26.3875i | 0.659895 | + | 1.14297i | ||||
\(534\) | 3.05991 | + | 1.36236i | 0.132415 | + | 0.0589550i | ||||
\(535\) | −11.4818 | − | 8.34205i | −0.496403 | − | 0.360658i | ||||
\(536\) | −6.00540 | + | 2.67378i | −0.259394 | + | 0.115490i | ||||
\(537\) | −7.59702 | − | 1.61480i | −0.327836 | − | 0.0696836i | ||||
\(538\) | −1.49824 | − | 14.2548i | −0.0645937 | − | 0.614568i | ||||
\(539\) | −13.7065 | + | 15.2226i | −0.590382 | + | 0.655686i | ||||
\(540\) | 0.669131 | + | 0.743145i | 0.0287948 | + | 0.0319799i | ||||
\(541\) | 2.52972 | − | 24.0687i | 0.108761 | − | 1.03479i | −0.794957 | − | 0.606666i | \(-0.792506\pi\) |
0.903718 | − | 0.428129i | \(-0.140827\pi\) | |||||||
\(542\) | 7.75908 | − | 23.8800i | 0.333281 | − | 1.02573i | ||||
\(543\) | −3.87940 | + | 11.9396i | −0.166481 | + | 0.512376i | ||||
\(544\) | 0.838261 | − | 7.97552i | 0.0359402 | − | 0.341948i | ||||
\(545\) | −5.39371 | − | 5.99032i | −0.231041 | − | 0.256597i | ||||
\(546\) | −6.91637 | + | 7.68141i | −0.295993 | + | 0.328734i | ||||
\(547\) | 2.16199 | + | 20.5700i | 0.0924400 | + | 0.879508i | 0.938235 | + | 0.345999i | \(0.112460\pi\) |
−0.845795 | + | 0.533508i | \(0.820873\pi\) | |||||||
\(548\) | −0.893852 | − | 0.189994i | −0.0381835 | − | 0.00811615i | ||||
\(549\) | −9.45291 | + | 4.20871i | −0.403440 | + | 0.179623i | ||||
\(550\) | 3.18930 | + | 2.31716i | 0.135992 | + | 0.0988041i | ||||
\(551\) | −14.9230 | − | 6.64414i | −0.635741 | − | 0.283050i | ||||
\(552\) | 3.01572 | + | 5.22338i | 0.128358 | + | 0.222322i | ||||
\(553\) | −3.34981 | + | 5.80203i | −0.142448 | + | 0.246728i | ||||
\(554\) | −7.36774 | + | 5.35298i | −0.313025 | + | 0.227426i | ||||
\(555\) | 9.52468 | − | 2.02453i | 0.404300 | − | 0.0859366i | ||||
\(556\) | −3.90400 | − | 12.0153i | −0.165566 | − | 0.509561i | ||||
\(557\) | −21.2011 | −0.898319 | −0.449160 | − | 0.893451i | \(-0.648277\pi\) | ||||
−0.449160 | + | 0.893451i | \(0.648277\pi\) | |||||||
\(558\) | 5.39566 | − | 1.37364i | 0.228416 | − | 0.0581509i | ||||
\(559\) | −21.1393 | −0.894098 | ||||||||
\(560\) | −1.07918 | − | 3.32137i | −0.0456036 | − | 0.140353i | ||||
\(561\) | 30.9234 | − | 6.57296i | 1.30559 | − | 0.277511i | ||||
\(562\) | 24.7530 | − | 17.9841i | 1.04414 | − | 0.758615i | ||||
\(563\) | −0.325891 | + | 0.564459i | −0.0137347 | + | 0.0237891i | −0.872811 | − | 0.488058i | \(-0.837705\pi\) |
0.859076 | + | 0.511847i | \(0.171039\pi\) | |||||||
\(564\) | −2.17346 | − | 3.76455i | −0.0915192 | − | 0.158516i | ||||
\(565\) | −12.0583 | − | 5.36871i | −0.507297 | − | 0.225863i | ||||
\(566\) | −8.60711 | − | 6.25343i | −0.361784 | − | 0.262851i | ||||
\(567\) | 3.19037 | − | 1.42044i | 0.133983 | − | 0.0596530i | ||||
\(568\) | −12.7715 | − | 2.71466i | −0.535879 | − | 0.113905i | ||||
\(569\) | 4.72231 | + | 44.9298i | 0.197970 | + | 1.88356i | 0.418560 | + | 0.908189i | \(0.362535\pi\) |
−0.220590 | + | 0.975367i | \(0.570798\pi\) | |||||||
\(570\) | −2.35264 | + | 2.61287i | −0.0985414 | + | 0.109441i | ||||
\(571\) | 5.25514 | + | 5.83642i | 0.219921 | + | 0.244247i | 0.843002 | − | 0.537910i | \(-0.180786\pi\) |
−0.623081 | + | 0.782157i | \(0.714119\pi\) | |||||||
\(572\) | 1.21963 | − | 11.6040i | 0.0509953 | − | 0.485188i | ||||
\(573\) | −6.36063 | + | 19.5760i | −0.265719 | + | 0.817799i | ||||
\(574\) | −11.1098 | + | 34.1923i | −0.463713 | + | 1.42716i | ||||
\(575\) | −0.630458 | + | 5.99840i | −0.0262919 | + | 0.250151i | ||||
\(576\) | 0.669131 | + | 0.743145i | 0.0278804 | + | 0.0309644i | ||||
\(577\) | −2.28034 | + | 2.53257i | −0.0949317 | + | 0.105432i | −0.788739 | − | 0.614729i | \(-0.789265\pi\) |
0.693807 | + | 0.720161i | \(0.255932\pi\) | |||||||
\(578\) | −4.94541 | − | 47.0525i | −0.205702 | − | 1.95712i | ||||
\(579\) | 5.82137 | + | 1.23737i | 0.241928 | + | 0.0514234i | ||||
\(580\) | −4.24435 | + | 1.88970i | −0.176237 | + | 0.0784657i | ||||
\(581\) | −29.7939 | − | 21.6465i | −1.23606 | − | 0.898050i | ||||
\(582\) | −1.24868 | − | 0.555949i | −0.0517595 | − | 0.0230448i | ||||
\(583\) | 18.0382 | + | 31.2430i | 0.747065 | + | 1.29395i | ||||
\(584\) | 0.0122416 | − | 0.0212031i | 0.000506560 | − | 0.000877389i | ||||
\(585\) | 2.39450 | − | 1.73970i | 0.0990002 | − | 0.0719279i | ||||
\(586\) | −22.9760 | + | 4.88370i | −0.949130 | + | 0.201744i | ||||
\(587\) | 4.82195 | + | 14.8404i | 0.199023 | + | 0.612530i | 0.999906 | + | 0.0137092i | \(0.00436391\pi\) |
−0.800883 | + | 0.598821i | \(0.795636\pi\) | |||||||
\(588\) | −5.19612 | −0.214284 | ||||||||
\(589\) | 6.78623 | + | 18.3622i | 0.279622 | + | 0.756601i | ||||
\(590\) | −13.6179 | −0.560641 | ||||||||
\(591\) | −3.99860 | − | 12.3064i | −0.164481 | − | 0.506219i | ||||
\(592\) | 9.52468 | − | 2.02453i | 0.391462 | − | 0.0832078i | ||||
\(593\) | −4.55033 | + | 3.30601i | −0.186860 | + | 0.135761i | −0.677282 | − | 0.735723i | \(-0.736842\pi\) |
0.490423 | + | 0.871485i | \(0.336842\pi\) | |||||||
\(594\) | −1.97110 | + | 3.41404i | −0.0808750 | + | 0.140080i | ||||
\(595\) | −14.0031 | − | 24.2542i | −0.574073 | − | 0.994324i | ||||
\(596\) | 18.7352 | + | 8.34147i | 0.767426 | + | 0.341680i | ||||
\(597\) | −7.94548 | − | 5.77273i | −0.325187 | − | 0.236262i | ||||
\(598\) | 16.3083 | − | 7.26091i | 0.666895 | − | 0.296921i | ||||
\(599\) | −3.41120 | − | 0.725073i | −0.139378 | − | 0.0296257i | 0.137694 | − | 0.990475i | \(-0.456031\pi\) |
−0.277072 | + | 0.960849i | \(0.589364\pi\) | |||||||
\(600\) | 0.104528 | + | 0.994522i | 0.00426736 | + | 0.0406012i | ||||
\(601\) | 5.90974 | − | 6.56343i | 0.241063 | − | 0.267728i | −0.610457 | − | 0.792049i | \(-0.709014\pi\) |
0.851520 | + | 0.524321i | \(0.175681\pi\) | |||||||
\(602\) | −16.6900 | − | 18.5361i | −0.680233 | − | 0.755476i | ||||
\(603\) | 0.687142 | − | 6.53772i | 0.0279826 | − | 0.266236i | ||||
\(604\) | 1.14044 | − | 3.50991i | 0.0464037 | − | 0.142816i | ||||
\(605\) | −1.40320 | + | 4.31862i | −0.0570484 | + | 0.175577i | ||||
\(606\) | 1.68038 | − | 15.9878i | 0.0682608 | − | 0.649458i | ||||
\(607\) | 6.93539 | + | 7.70253i | 0.281499 | + | 0.312636i | 0.867268 | − | 0.497842i | \(-0.165874\pi\) |
−0.585769 | + | 0.810478i | \(0.699207\pi\) | |||||||
\(608\) | −2.35264 | + | 2.61287i | −0.0954123 | + | 0.105966i | ||||
\(609\) | 1.69600 | + | 16.1364i | 0.0687254 | + | 0.653878i | ||||
\(610\) | −10.1214 | − | 2.15137i | −0.409803 | − | 0.0871062i | ||||
\(611\) | −11.7535 | + | 5.23301i | −0.475497 | + | 0.211705i | ||||
\(612\) | 6.48787 | + | 4.71372i | 0.262257 | + | 0.190541i | ||||
\(613\) | 28.9110 | + | 12.8720i | 1.16770 | + | 0.519895i | 0.896681 | − | 0.442678i | \(-0.145972\pi\) |
0.271022 | + | 0.962573i | \(0.412638\pi\) | |||||||
\(614\) | −1.00584 | − | 1.74216i | −0.0405923 | − | 0.0703079i | ||||
\(615\) | 5.14733 | − | 8.91543i | 0.207560 | − | 0.359505i | ||||
\(616\) | 11.1380 | − | 8.09221i | 0.448762 | − | 0.326044i | ||||
\(617\) | 40.1353 | − | 8.53102i | 1.61579 | − | 0.343446i | 0.690682 | − | 0.723159i | \(-0.257311\pi\) |
0.925104 | + | 0.379713i | \(0.123977\pi\) | |||||||
\(618\) | −4.73174 | − | 14.5628i | −0.190339 | − | 0.585802i | ||||
\(619\) | 17.1577 | 0.689627 | 0.344813 | − | 0.938671i | \(-0.387942\pi\) | ||||
0.344813 | + | 0.938671i | \(0.387942\pi\) | |||||||
\(620\) | 5.17258 | + | 2.06019i | 0.207736 | + | 0.0827391i | ||||
\(621\) | −6.03144 | −0.242034 | ||||||||
\(622\) | 9.52773 | + | 29.3233i | 0.382027 | + | 1.17576i | ||||
\(623\) | 11.4418 | − | 2.43202i | 0.458405 | − | 0.0974369i | ||||
\(624\) | 2.39450 | − | 1.73970i | 0.0958565 | − | 0.0696439i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −4.86258 | − | 8.42224i | −0.194348 | − | 0.336620i | ||||
\(627\) | −12.6623 | − | 5.63762i | −0.505684 | − | 0.225145i | ||||
\(628\) | −9.94979 | − | 7.22895i | −0.397040 | − | 0.288466i | ||||
\(629\) | 71.3380 | − | 31.7617i | 2.84443 | − | 1.26642i | ||||
\(630\) | 3.41598 | + | 0.726089i | 0.136096 | + | 0.0289281i | ||||
\(631\) | 2.35090 | + | 22.3673i | 0.0935879 | + | 0.890429i | 0.936096 | + | 0.351745i | \(0.114412\pi\) |
−0.842508 | + | 0.538684i | \(0.818922\pi\) | |||||||
\(632\) | 1.28366 | − | 1.42565i | 0.0510612 | − | 0.0567092i | ||||
\(633\) | −1.30817 | − | 1.45287i | −0.0519951 | − | 0.0577465i | ||||
\(634\) | −0.154298 | + | 1.46805i | −0.00612797 | + | 0.0583037i | ||||
\(635\) | 2.96527 | − | 9.12616i | 0.117673 | − | 0.362161i | ||||
\(636\) | −2.82792 | + | 8.70344i | −0.112134 | + | 0.345114i | ||||
\(637\) | −1.60757 | + | 15.2950i | −0.0636943 | + | 0.606010i | ||||
\(638\) | −12.2554 | − | 13.6110i | −0.485198 | − | 0.538867i | ||||
\(639\) | 8.73670 | − | 9.70308i | 0.345618 | − | 0.383848i | ||||
\(640\) | 0.104528 | + | 0.994522i | 0.00413185 | + | 0.0393119i | ||||
\(641\) | 13.1819 | + | 2.80191i | 0.520656 | + | 0.110669i | 0.460741 | − | 0.887535i | \(-0.347584\pi\) |
0.0599148 | + | 0.998203i | \(0.480917\pi\) | |||||||
\(642\) | 12.9653 | − | 5.77255i | 0.511702 | − | 0.227824i | ||||
\(643\) | 17.8623 | + | 12.9777i | 0.704420 | + | 0.511791i | 0.881369 | − | 0.472429i | \(-0.156623\pi\) |
−0.176949 | + | 0.984220i | \(0.556623\pi\) | |||||||
\(644\) | 19.2425 | + | 8.56733i | 0.758262 | + | 0.337600i | ||||
\(645\) | 3.57112 | + | 6.18536i | 0.140613 | + | 0.243548i | ||||
\(646\) | −14.0981 | + | 24.4186i | −0.554681 | + | 0.960736i | ||||
\(647\) | 5.68429 | − | 4.12988i | 0.223472 | − | 0.162362i | −0.470416 | − | 0.882445i | \(-0.655896\pi\) |
0.693888 | + | 0.720083i | \(0.255896\pi\) | |||||||
\(648\) | −0.978148 | + | 0.207912i | −0.0384253 | + | 0.00816754i | ||||
\(649\) | −16.5894 | − | 51.0570i | −0.651192 | − | 2.00416i | ||||
\(650\) | 2.95976 | 0.116091 | ||||||||
\(651\) | 12.4248 | − | 14.9568i | 0.486966 | − | 0.586201i | ||||
\(652\) | −8.30234 | −0.325145 | ||||||||
\(653\) | −0.947713 | − | 2.91676i | −0.0370869 | − | 0.114142i | 0.930799 | − | 0.365531i | \(-0.119113\pi\) |
−0.967886 | + | 0.251389i | \(0.919113\pi\) | |||||||
\(654\) | 7.88462 | − | 1.67593i | 0.308313 | − | 0.0655340i | ||||
\(655\) | −5.11649 | + | 3.71735i | −0.199918 | + | 0.145249i | ||||
\(656\) | 5.14733 | − | 8.91543i | 0.200969 | − | 0.348089i | ||||
\(657\) | 0.0122416 | + | 0.0212031i | 0.000477590 | + | 0.000827210i | ||||
\(658\) | −13.8683 | − | 6.17456i | −0.540642 | − | 0.240709i | ||||
\(659\) | 4.06509 | + | 2.95346i | 0.158354 | + | 0.115051i | 0.664140 | − | 0.747608i | \(-0.268798\pi\) |
−0.505787 | + | 0.862659i | \(0.668798\pi\) | |||||||
\(660\) | −3.60137 | + | 1.60343i | −0.140183 | + | 0.0624136i | ||||
\(661\) | −37.3597 | − | 7.94105i | −1.45312 | − | 0.308871i | −0.587361 | − | 0.809325i | \(-0.699833\pi\) |
−0.865763 | + | 0.500454i | \(0.833167\pi\) | |||||||
\(662\) | 3.21713 | + | 30.6089i | 0.125037 | + | 1.18965i | ||||
\(663\) | 15.8823 | − | 17.6390i | 0.616816 | − | 0.685043i | ||||
\(664\) | 7.05618 | + | 7.83669i | 0.273833 | + | 0.304122i | ||||
\(665\) | −1.28348 | + | 12.2115i | −0.0497714 | + | 0.473543i | ||||
\(666\) | −3.00904 | + | 9.26088i | −0.116598 | + | 0.358852i | ||||
\(667\) | 8.65933 | − | 26.6507i | 0.335291 | − | 1.03192i | ||||
\(668\) | −0.211679 | + | 2.01399i | −0.00819010 | + | 0.0779236i | ||||
\(669\) | −1.93055 | − | 2.14410i | −0.0746395 | − | 0.0828955i | ||||
\(670\) | 4.39868 | − | 4.88523i | 0.169936 | − | 0.188733i | ||||
\(671\) | −4.26390 | − | 40.5683i | −0.164606 | − | 1.56612i | ||||
\(672\) | 3.41598 | + | 0.726089i | 0.131774 | + | 0.0280095i | ||||
\(673\) | 4.18763 | − | 1.86445i | 0.161421 | − | 0.0718694i | −0.324435 | − | 0.945908i | \(-0.605174\pi\) |
0.485857 | + | 0.874038i | \(0.338508\pi\) | |||||||
\(674\) | 16.8165 | + | 12.2179i | 0.647749 | + | 0.470617i | ||||
\(675\) | −0.913545 | − | 0.406737i | −0.0351624 | − | 0.0156553i | ||||
\(676\) | 2.11991 | + | 3.67179i | 0.0815351 | + | 0.141223i | ||||
\(677\) | −7.92702 | + | 13.7300i | −0.304660 | + | 0.527687i | −0.977186 | − | 0.212387i | \(-0.931876\pi\) |
0.672525 | + | 0.740074i | \(0.265210\pi\) | |||||||
\(678\) | 10.6786 | − | 7.75845i | 0.410109 | − | 0.297962i | ||||
\(679\) | −4.66914 | + | 0.992456i | −0.179185 | + | 0.0380870i | ||||
\(680\) | 2.47815 | + | 7.62695i | 0.0950326 | + | 0.292480i | ||||
\(681\) | −6.53527 | −0.250432 | ||||||||
\(682\) | −1.42288 | + | 21.9030i | −0.0544851 | + | 0.838710i | ||||
\(683\) | 25.9303 | 0.992196 | 0.496098 | − | 0.868266i | \(-0.334766\pi\) | ||||
0.496098 | + | 0.868266i | \(0.334766\pi\) | |||||||
\(684\) | −1.08649 | − | 3.34389i | −0.0415431 | − | 0.127857i | ||||
\(685\) | 0.893852 | − | 0.189994i | 0.0341523 | − | 0.00725931i | ||||
\(686\) | 5.09655 | − | 3.70286i | 0.194587 | − | 0.141376i | ||||
\(687\) | 14.0076 | − | 24.2619i | 0.534424 | − | 0.925650i | ||||
\(688\) | 3.57112 | + | 6.18536i | 0.136148 | + | 0.235815i | ||||
\(689\) | 24.7441 | + | 11.0168i | 0.942675 | + | 0.419706i | ||||
\(690\) | −4.87954 | − | 3.54519i | −0.185761 | − | 0.134963i | ||||
\(691\) | −19.5312 | + | 8.69584i | −0.743001 | + | 0.330805i | −0.743087 | − | 0.669195i | \(-0.766639\pi\) |
8.62619e−5 | 1.00000i | \(0.499973\pi\) | ||||||||
\(692\) | −11.6594 | − | 2.47829i | −0.443225 | − | 0.0942104i | ||||
\(693\) | 1.43907 | + | 13.6919i | 0.0546659 | + | 0.520111i | ||||
\(694\) | 1.76666 | − | 1.96208i | 0.0670616 | − | 0.0744795i | ||||
\(695\) | 8.45353 | + | 9.38860i | 0.320661 | + | 0.356130i | ||||
\(696\) | 0.485641 | − | 4.62056i | 0.0184082 | − | 0.175142i | ||||
\(697\) | 25.5117 | − | 78.5168i | 0.966323 | − | 2.97404i | ||||
\(698\) | 2.69723 | − | 8.30123i | 0.102092 | − | 0.314206i | ||||
\(699\) | −1.18301 | + | 11.2556i | −0.0447457 | + | 0.425727i | ||||
\(700\) | 2.33680 | + | 2.59528i | 0.0883228 | + | 0.0980924i | ||||
\(701\) | 19.4633 | − | 21.6162i | 0.735118 | − | 0.816431i | −0.253428 | − | 0.967354i | \(-0.581558\pi\) |
0.988545 | + | 0.150923i | \(0.0482246\pi\) | |||||||
\(702\) | 0.309379 | + | 2.94355i | 0.0116768 | + | 0.111097i | ||||
\(703\) | −33.4885 | − | 7.11820i | −1.26304 | − | 0.268468i | ||||
\(704\) | −3.60137 | + | 1.60343i | −0.135732 | + | 0.0604317i | ||||
\(705\) | 3.51673 | + | 2.55506i | 0.132448 | + | 0.0962290i | ||||
\(706\) | −7.02862 | − | 3.12935i | −0.264526 | − | 0.117774i | ||||
\(707\) | −28.0708 | − | 48.6200i | −1.05571 | − | 1.82854i | ||||
\(708\) | 6.80897 | − | 11.7935i | 0.255897 | − | 0.443226i | ||||
\(709\) | 14.0019 | − | 10.1730i | 0.525853 | − | 0.382055i | −0.292951 | − | 0.956127i | \(-0.594637\pi\) |
0.818804 | + | 0.574073i | \(0.194637\pi\) | |||||||
\(710\) | 12.7715 | − | 2.71466i | 0.479305 | − | 0.101879i | ||||
\(711\) | 0.592818 | + | 1.82451i | 0.0222324 | + | 0.0684243i | ||||
\(712\) | −3.34948 | −0.125527 | ||||||||
\(713\) | −30.1099 | + | 14.8702i | −1.12762 | + | 0.556893i | ||||
\(714\) | 28.0063 | 1.04811 | ||||||||
\(715\) | 3.60559 | + | 11.0969i | 0.134841 | + | 0.414999i | ||||
\(716\) | 7.59702 | − | 1.61480i | 0.283914 | − | 0.0603478i | ||||
\(717\) | −22.2238 | + | 16.1466i | −0.829964 | + | 0.603004i | ||||
\(718\) | 10.7879 | − | 18.6852i | 0.402600 | − | 0.697324i | ||||
\(719\) | 0.547833 | + | 0.948875i | 0.0204307 | + | 0.0353871i | 0.876060 | − | 0.482202i | \(-0.160163\pi\) |
−0.855629 | + | 0.517589i | \(0.826830\pi\) | |||||||
\(720\) | −0.913545 | − | 0.406737i | −0.0340458 | − | 0.0151582i | ||||
\(721\) | −43.2620 | − | 31.4317i | −1.61116 | − | 1.17058i | ||||
\(722\) | −6.06408 | + | 2.69990i | −0.225682 | + | 0.100480i | ||||
\(723\) | −3.59852 | − | 0.764888i | −0.133830 | − | 0.0284465i | ||||
\(724\) | −1.31225 | − | 12.4852i | −0.0487694 | − | 0.464010i | ||||
\(725\) | 3.10879 | − | 3.45266i | 0.115458 | − | 0.128229i | ||||
\(726\) | −3.03843 | − | 3.37452i | −0.112767 | − | 0.125240i | ||||
\(727\) | 0.00131578 | − | 0.0125188i | 4.87994e−5 | − | 0.000464295i | −0.994497 | − | 0.104761i | \(-0.966592\pi\) |
0.994546 | + | 0.104296i | \(0.0332590\pi\) | |||||||
\(728\) | 3.19411 | − | 9.83045i | 0.118382 | − | 0.364341i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −0.00255919 | + | 0.0243491i | −9.47198e−5 | + | 0.000901199i | ||||
\(731\) | 38.3257 | + | 42.5650i | 1.41753 | + | 1.57432i | ||||
\(732\) | 6.92383 | − | 7.68969i | 0.255912 | − | 0.284219i | ||||
\(733\) | −2.43580 | − | 23.1751i | −0.0899683 | − | 0.855992i | −0.942700 | − | 0.333642i | \(-0.891722\pi\) |
0.852731 | − | 0.522350i | \(-0.174944\pi\) | |||||||
\(734\) | −6.92641 | − | 1.47225i | −0.255659 | − | 0.0543419i | ||||
\(735\) | 4.74689 | − | 2.11345i | 0.175092 | − | 0.0779558i | ||||
\(736\) | −4.87954 | − | 3.54519i | −0.179862 | − | 0.130678i | ||||
\(737\) | 23.6744 | + | 10.5405i | 0.872059 | + | 0.388266i | ||||
\(738\) | 5.14733 | + | 8.91543i | 0.189476 | + | 0.328182i | ||||
\(739\) | 11.0617 | − | 19.1594i | 0.406911 | − | 0.704791i | −0.587630 | − | 0.809129i | \(-0.699939\pi\) |
0.994542 | + | 0.104338i | \(0.0332724\pi\) | |||||||
\(740\) | −7.87778 | + | 5.72354i | −0.289593 | + | 0.210401i | ||||
\(741\) | −10.1790 | + | 2.16362i | −0.373936 | + | 0.0794825i | ||||
\(742\) | 9.87593 | + | 30.3950i | 0.362557 | + | 1.11584i | ||||
\(743\) | 16.0359 | 0.588300 | 0.294150 | − | 0.955759i | \(-0.404964\pi\) | ||||
0.294150 | + | 0.955759i | \(0.404964\pi\) | |||||||
\(744\) | −4.37047 | + | 3.44950i | −0.160229 | + | 0.126465i | ||||
\(745\) | −20.5083 | −0.751365 | ||||||||
\(746\) | 5.63869 | + | 17.3541i | 0.206447 | + | 0.635378i | ||||
\(747\) | −10.3149 | + | 2.19249i | −0.377401 | + | 0.0802191i | ||||
\(748\) | −25.5764 | + | 18.5824i | −0.935167 | + | 0.679439i | ||||
\(749\) | 24.7819 | − | 42.9235i | 0.905512 | − | 1.56839i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | 7.67236 | + | 3.41595i | 0.279968 | + | 0.124650i | 0.541917 | − | 0.840432i | \(-0.317699\pi\) |
−0.261949 | + | 0.965082i | \(0.584365\pi\) | |||||||
\(752\) | 3.51673 | + | 2.55506i | 0.128242 | + | 0.0931734i | ||||
\(753\) | −3.43263 | + | 1.52830i | −0.125092 | + | 0.0556945i | ||||
\(754\) | −13.4506 | − | 2.85901i | −0.489842 | − | 0.104119i | ||||
\(755\) | 0.385766 | + | 3.67032i | 0.0140395 | + | 0.133576i | ||||
\(756\) | −2.33680 | + | 2.59528i | −0.0849886 | + | 0.0943894i | ||||
\(757\) | −30.0656 | − | 33.3912i | −1.09275 | − | 1.21362i | −0.975379 | − | 0.220535i | \(-0.929220\pi\) |
−0.117372 | − | 0.993088i | \(-0.537447\pi\) | |||||||
\(758\) | −2.71903 | + | 25.8699i | −0.0987597 | + | 0.939636i | ||||
\(759\) | 7.34753 | − | 22.6134i | 0.266698 | − | 0.820813i | ||||
\(760\) | 1.08649 | − | 3.34389i | 0.0394113 | − | 0.121295i | ||||
\(761\) | −5.34643 | + | 50.8679i | −0.193808 | + | 1.84396i | 0.275960 | + | 0.961169i | \(0.411004\pi\) |
−0.469768 | + | 0.882790i | \(0.655662\pi\) | |||||||
\(762\) | 6.42085 | + | 7.13108i | 0.232603 | + | 0.258332i | ||||
\(763\) | 18.8364 | − | 20.9200i | 0.681924 | − | 0.757353i | ||||
\(764\) | −2.15155 | − | 20.4707i | −0.0778405 | − | 0.740602i | ||||
\(765\) | −7.84421 | − | 1.66734i | −0.283608 | − | 0.0602827i | ||||
\(766\) | −11.1264 | + | 4.95378i | −0.402012 | + | 0.178987i | ||||
\(767\) | −32.6081 | − | 23.6912i | −1.17741 | − | 0.855438i | ||||
\(768\) | −0.913545 | − | 0.406737i | −0.0329647 | − | 0.0146768i | ||||
\(769\) | 2.67482 | + | 4.63292i | 0.0964564 | + | 0.167067i | 0.910216 | − | 0.414135i | \(-0.135916\pi\) |
−0.813759 | + | 0.581202i | \(0.802582\pi\) | |||||||
\(770\) | −6.88364 | + | 11.9228i | −0.248069 | + | 0.429669i | ||||
\(771\) | 8.09526 | − | 5.88155i | 0.291543 | − | 0.211819i | ||||
\(772\) | −5.82137 | + | 1.23737i | −0.209516 | + | 0.0445339i | ||||
\(773\) | 3.81174 | + | 11.7313i | 0.137099 | + | 0.421946i | 0.995911 | − | 0.0903448i | \(-0.0287969\pi\) |
−0.858812 | + | 0.512291i | \(0.828797\pi\) | |||||||
\(774\) | −7.14224 | −0.256722 | ||||||||
\(775\) | −5.56334 | + | 0.221805i | −0.199841 | + | 0.00796748i | ||||
\(776\) | 1.36685 | 0.0490671 | ||||||||
\(777\) | 10.5085 | + | 32.3417i | 0.376989 | + | 1.16025i | ||||
\(778\) | 14.3006 | − | 3.03969i | 0.512702 | − | 0.108978i | ||||
\(779\) | −29.2829 | + | 21.2753i | −1.04917 | + | 0.762266i | ||||
\(780\) | −1.47988 | + | 2.56323i | −0.0529882 | + | 0.0917782i | ||||
\(781\) | 25.7362 | + | 44.5764i | 0.920912 | + | 1.59507i | ||||
\(782\) | −44.1872 | − | 19.6734i | −1.58013 | − | 0.703519i | ||||
\(783\) | 3.75870 | + | 2.73086i | 0.134325 | + | 0.0975929i | ||||
\(784\) | 4.74689 | − | 2.11345i | 0.169532 | − | 0.0754804i | ||||
\(785\) | 12.0299 | + | 2.55703i | 0.429364 | + | 0.0912642i | ||||
\(786\) | −0.661072 | − | 6.28968i | −0.0235797 | − | 0.224346i | ||||
\(787\) | −6.18574 | + | 6.86996i | −0.220498 | + | 0.244888i | −0.843237 | − | 0.537542i | \(-0.819353\pi\) |
0.622739 | + | 0.782429i | \(0.286020\pi\) | |||||||
\(788\) | 8.65838 | + | 9.61611i | 0.308442 | + | 0.342560i | ||||
\(789\) | 2.12230 | − | 20.1923i | 0.0755558 | − | 0.718866i | ||||
\(790\) | −0.592818 | + | 1.82451i | −0.0210915 | + | 0.0649130i | ||||
\(791\) | 14.2446 | − | 43.8403i | 0.506479 | − | 1.55878i | ||||
\(792\) | 0.412071 | − | 3.92059i | 0.0146423 | − | 0.139312i | ||||
\(793\) | −20.4929 | − | 22.7596i | −0.727723 | − | 0.808218i | ||||
\(794\) | −11.3819 | + | 12.6408i | −0.403927 | + | 0.448607i | ||||
\(795\) | −0.956576 | − | 9.10121i | −0.0339262 | − | 0.322787i | ||||
\(796\) | 9.60654 | + | 2.04193i | 0.340495 | + | 0.0723744i | ||||
\(797\) | −11.7422 | + | 5.22796i | −0.415929 | + | 0.185184i | −0.604022 | − | 0.796968i | \(-0.706436\pi\) |
0.188093 | + | 0.982151i | \(0.439769\pi\) | |||||||
\(798\) | −9.93376 | − | 7.21730i | −0.351651 | − | 0.255490i | ||||
\(799\) | 31.8462 | + | 14.1788i | 1.12664 | + | 0.501611i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 1.67474 | − | 2.90074i | 0.0591741 | − | 0.102493i | ||||
\(802\) | −29.1865 | + | 21.2052i | −1.03061 | + | 0.748783i | ||||
\(803\) | −0.0944082 | + | 0.0200671i | −0.00333159 | + | 0.000708152i | ||||
\(804\) | 2.03139 | + | 6.25199i | 0.0716418 | + | 0.220491i | ||||
\(805\) | −21.0636 | −0.742394 | ||||||||
\(806\) | 8.80162 | + | 13.9319i | 0.310024 | + | 0.490729i | ||||
\(807\) | −14.3333 | −0.504557 | ||||||||
\(808\) | 4.96770 | + | 15.2890i | 0.174763 | + | 0.537866i | ||||
\(809\) | −6.41066 | + | 1.36263i | −0.225387 | + | 0.0479075i | −0.319221 | − | 0.947680i | \(-0.603421\pi\) |
0.0938338 | + | 0.995588i | \(0.470088\pi\) | |||||||
\(810\) | 0.809017 | − | 0.587785i | 0.0284260 | − | 0.0206527i | ||||
\(811\) | −6.82380 | + | 11.8192i | −0.239616 | + | 0.415027i | −0.960604 | − | 0.277920i | \(-0.910355\pi\) |
0.720988 | + | 0.692948i | \(0.243688\pi\) | |||||||
\(812\) | −8.11262 | − | 14.0515i | −0.284697 | − | 0.493110i | ||||
\(813\) | −22.9381 | − | 10.2127i | −0.804475 | − | 0.358175i | ||||
\(814\) | −31.0557 | − | 22.5633i | −1.08850 | − | 0.790843i | ||||
\(815\) | 7.58456 | − | 3.37686i | 0.265676 | − | 0.118286i | ||||
\(816\) | −7.84421 | − | 1.66734i | −0.274602 | − | 0.0583685i | ||||
\(817\) | −2.62491 | − | 24.9743i | −0.0918339 | − | 0.873741i | ||||
\(818\) | 5.87928 | − | 6.52960i | 0.205564 | − | 0.228302i | ||||
\(819\) | 6.91637 | + | 7.68141i | 0.241677 | + | 0.268410i | ||||
\(820\) | −1.07608 | + | 10.2383i | −0.0375785 | + | 0.357535i | ||||
\(821\) | −4.09885 | + | 12.6150i | −0.143051 | + | 0.440265i | −0.996755 | − | 0.0804928i | \(-0.974351\pi\) |
0.853704 | + | 0.520758i | \(0.174351\pi\) | |||||||
\(822\) | −0.282386 | + | 0.869096i | −0.00984936 | + | 0.0303132i | ||||
\(823\) | 2.50534 | − | 23.8367i | 0.0873307 | − | 0.830896i | −0.859926 | − | 0.510419i | \(-0.829490\pi\) |
0.947256 | − | 0.320477i | \(-0.103843\pi\) | |||||||
\(824\) | 10.2459 | + | 11.3792i | 0.356932 | + | 0.396413i | ||||
\(825\) | 2.63784 | − | 2.92962i | 0.0918378 | − | 0.101996i | ||||
\(826\) | −4.97115 | − | 47.2973i | −0.172968 | − | 1.64568i | ||||
\(827\) | −18.9394 | − | 4.02569i | −0.658587 | − | 0.139987i | −0.133518 | − | 0.991046i | \(-0.542627\pi\) |
−0.525070 | + | 0.851059i | \(0.675961\pi\) | |||||||
\(828\) | 5.51000 | − | 2.45321i | 0.191486 | − | 0.0852549i | ||||
\(829\) | −22.4895 | − | 16.3395i | −0.781091 | − | 0.567496i | 0.124215 | − | 0.992255i | \(-0.460359\pi\) |
−0.905306 | + | 0.424760i | \(0.860359\pi\) | |||||||
\(830\) | −9.63361 | − | 4.28916i | −0.334388 | − | 0.148879i | ||||
\(831\) | 4.55351 | + | 7.88692i | 0.157960 | + | 0.273594i | ||||
\(832\) | −1.47988 | + | 2.56323i | −0.0513056 | + | 0.0888639i | ||||
\(833\) | 33.7118 | − | 24.4930i | 1.16804 | − | 0.848633i | ||||
\(834\) | −12.3575 | + | 2.62667i | −0.427906 | + | 0.0909543i | ||||
\(835\) | −0.625785 | − | 1.92597i | −0.0216562 | − | 0.0666509i | ||||
\(836\) | 13.8606 | 0.479380 | ||||||||
\(837\) | −0.802118 | − | 5.50968i | −0.0277253 | − | 0.190443i | ||||
\(838\) | −7.33274 | −0.253305 | ||||||||
\(839\) | −7.18099 | − | 22.1008i | −0.247915 | − | 0.763005i | −0.995143 | − | 0.0984370i | \(-0.968616\pi\) |
0.747228 | − | 0.664568i | \(-0.231384\pi\) | |||||||
\(840\) | −3.41598 | + | 0.726089i | −0.117862 | + | 0.0250524i | ||||
\(841\) | 5.99850 | − | 4.35816i | 0.206845 | − | 0.150282i | ||||
\(842\) | 18.8831 | − | 32.7065i | 0.650755 | − | 1.12714i | ||||
\(843\) | −15.2982 | − | 26.4973i | −0.526899 | − | 0.912615i | ||||
\(844\) | 1.78601 | + | 0.795183i | 0.0614770 | + | 0.0273713i | ||||
\(845\) | −3.43009 | − | 2.49211i | −0.117999 | − | 0.0857310i | ||||
\(846\) | −3.97111 | + | 1.76805i | −0.136530 | + | 0.0607869i | ||||
\(847\) | −15.5115 | − | 3.29707i | −0.532981 | − | 0.113289i | ||||
\(848\) | −0.956576 | − | 9.10121i | −0.0328489 | − | 0.312537i | ||||
\(849\) | −7.11887 | + | 7.90630i | −0.244319 | + | 0.271344i | ||||
\(850\) | −5.36606 | − | 5.95962i | −0.184054 | − | 0.204413i | ||||
\(851\) | 6.13906 | − | 58.4093i | 0.210444 | − | 2.00224i | ||||
\(852\) | −4.03477 | + | 12.4177i | −0.138229 | + | 0.425425i | ||||
\(853\) | 5.63913 | − | 17.3555i | 0.193080 | − | 0.594240i | −0.806913 | − | 0.590670i | \(-0.798864\pi\) |
0.999994 | − | 0.00357018i | \(-0.00113642\pi\) | |||||||
\(854\) | 3.77729 | − | 35.9385i | 0.129256 | − | 1.22979i | ||||
\(855\) | 2.35264 | + | 2.61287i | 0.0804587 | + | 0.0893584i | ||||
\(856\) | −9.49653 | + | 10.5470i | −0.324585 | + | 0.360488i | ||||
\(857\) | 5.65960 | + | 53.8475i | 0.193328 | + | 1.83940i | 0.475121 | + | 0.879921i | \(0.342404\pi\) |
−0.281792 | + | 0.959475i | \(0.590929\pi\) | |||||||
\(858\) | −11.4130 | − | 2.42590i | −0.389632 | − | 0.0828189i | ||||
\(859\) | 41.1437 | − | 18.3183i | 1.40380 | − | 0.625014i | 0.441567 | − | 0.897228i | \(-0.354423\pi\) |
0.962237 | + | 0.272214i | \(0.0877560\pi\) | |||||||
\(860\) | −5.77819 | − | 4.19810i | −0.197035 | − | 0.143154i | ||||
\(861\) | 32.8437 | + | 14.6230i | 1.11931 | + | 0.498350i | ||||
\(862\) | 15.4882 | + | 26.8263i | 0.527529 | + | 0.913708i | ||||
\(863\) | −24.5378 | + | 42.5007i | −0.835276 | + | 1.44674i | 0.0585294 | + | 0.998286i | \(0.481359\pi\) |
−0.893805 | + | 0.448455i | \(0.851974\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 11.6594 | − | 2.47829i | 0.396433 | − | 0.0842643i | ||||
\(866\) | −0.0118734 | − | 0.0365425i | −0.000403474 | − | 0.00124176i | ||||
\(867\) | −47.3116 | −1.60679 | ||||||||
\(868\) | −5.26714 | + | 18.7173i | −0.178778 | + | 0.635306i | ||||
\(869\) | −7.56269 | −0.256547 | ||||||||
\(870\) | 1.43570 | + | 4.41862i | 0.0486747 | + | 0.149805i | ||||
\(871\) | 19.0315 | − | 4.04527i | 0.644857 | − | 0.137069i | ||||
\(872\) | −6.52130 | + | 4.73800i | −0.220839 | + | 0.160449i | ||||
\(873\) | −0.683426 | + | 1.18373i | −0.0231305 | + | 0.0400631i | ||||
\(874\) | 10.6032 | + | 18.3653i | 0.358658 | + | 0.621214i | ||||
\(875\) | −3.19037 | − | 1.42044i | −0.107854 | − | 0.0480198i | ||||
\(876\) | −0.0198073 | − | 0.0143908i | −0.000669227 | − | 0.000486222i | ||||
\(877\) | 17.8077 | − | 7.92849i | 0.601323 | − | 0.267726i | −0.0834160 | − | 0.996515i | \(-0.526583\pi\) |
0.684739 | + | 0.728789i | \(0.259916\pi\) | |||||||
\(878\) | 13.0051 | + | 2.76432i | 0.438901 | + | 0.0932912i | ||||
\(879\) | 2.45530 | + | 23.3606i | 0.0828153 | + | 0.787934i | ||||
\(880\) | 2.63784 | − | 2.92962i | 0.0889216 | − | 0.0987574i | ||||
\(881\) | −1.00442 | − | 1.11552i | −0.0338399 | − | 0.0375830i | 0.725987 | − | 0.687708i | \(-0.241383\pi\) |
−0.759827 | + | 0.650125i | \(0.774716\pi\) | |||||||
\(882\) | −0.543142 | + | 5.16765i | −0.0182886 | + | 0.174004i | ||||
\(883\) | −7.04514 | + | 21.6827i | −0.237088 | + | 0.729682i | 0.759750 | + | 0.650216i | \(0.225321\pi\) |
−0.996838 | + | 0.0794659i | \(0.974679\pi\) | |||||||
\(884\) | −7.33472 | + | 22.5740i | −0.246693 | + | 0.759244i | ||||
\(885\) | −1.42346 | + | 13.5433i | −0.0478491 | + | 0.455254i | ||||
\(886\) | 10.1508 | + | 11.2736i | 0.341022 | + | 0.378743i | ||||
\(887\) | 29.3174 | − | 32.5603i | 0.984383 | − | 1.09327i | −0.0112526 | − | 0.999937i | \(-0.503582\pi\) |
0.995635 | − | 0.0933309i | \(-0.0297514\pi\) | |||||||
\(888\) | −1.01784 | − | 9.68412i | −0.0341566 | − | 0.324978i | ||||
\(889\) | 32.7791 | + | 6.96741i | 1.09938 | + | 0.233680i | ||||
\(890\) | 3.05991 | − | 1.36236i | 0.102568 | − | 0.0456663i | ||||
\(891\) | 3.18930 | + | 2.31716i | 0.106846 | + | 0.0776278i | ||||
\(892\) | 2.63573 | + | 1.17350i | 0.0882508 | + | 0.0392918i | ||||
\(893\) | −7.64183 | − | 13.2360i | −0.255724 | − | 0.442927i | ||||
\(894\) | 10.2541 | − | 17.7607i | 0.342950 | − | 0.594006i | ||||
\(895\) | −6.28342 | + | 4.56518i | −0.210032 | + | 0.152597i | ||||
\(896\) | −3.41598 | + | 0.726089i | −0.114120 | + | 0.0242569i | ||||
\(897\) | −5.51646 | − | 16.9779i | −0.184189 | − | 0.566876i | ||||
\(898\) | 7.26742 | 0.242517 | ||||||||
\(899\) | 25.4968 | + | 4.36598i | 0.850366 | + | 0.145614i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −22.6784 | − | 69.7969i | −0.755526 | − | 2.32527i | ||||
\(902\) | −39.6966 | + | 8.43778i | −1.32175 | + | 0.280947i | ||||
\(903\) | −20.1791 | + | 14.6610i | −0.671520 | + | 0.487888i | ||||
\(904\) | −6.59974 | + | 11.4311i | −0.219504 | + | 0.380192i | ||||
\(905\) | 6.27701 | + | 10.8721i | 0.208655 | + | 0.361401i | ||||
\(906\) | −3.37147 | − | 1.50108i | −0.112010 | − | 0.0498699i | ||||
\(907\) | −6.06494 | − | 4.40644i | −0.201383 | − | 0.146313i | 0.482523 | − | 0.875883i | \(-0.339720\pi\) |
−0.683906 | + | 0.729570i | \(0.739720\pi\) | |||||||
\(908\) | 5.97026 | − | 2.65813i | 0.198130 | − | 0.0882132i | ||||
\(909\) | −15.7245 | − | 3.34235i | −0.521550 | − | 0.110859i | ||||
\(910\) | 1.08044 | + | 10.2797i | 0.0358163 | + | 0.340770i | ||||
\(911\) | −20.4501 | + | 22.7122i | −0.677543 | + | 0.752488i | −0.979634 | − | 0.200791i | \(-0.935649\pi\) |
0.302091 | + | 0.953279i | \(0.402315\pi\) | |||||||
\(912\) | 2.35264 | + | 2.61287i | 0.0779038 | + | 0.0865209i | ||||
\(913\) | 4.34541 | − | 41.3438i | 0.143812 | − | 1.36828i | ||||
\(914\) | −6.04024 | + | 18.5899i | −0.199793 | + | 0.614900i | ||||
\(915\) | −3.19755 | + | 9.84105i | −0.105708 | + | 0.325335i | ||||
\(916\) | −2.92839 | + | 27.8618i | −0.0967567 | + | 0.920579i | ||||
\(917\) | −14.7787 | − | 16.4134i | −0.488036 | − | 0.542018i | ||||
\(918\) | 5.36606 | − | 5.95962i | 0.177106 | − | 0.196697i | ||||
\(919\) | −0.598664 | − | 5.69590i | −0.0197481 | − | 0.187891i | 0.980201 | − | 0.198006i | \(-0.0634467\pi\) |
−0.999949 | + | 0.0101158i | \(0.996780\pi\) | |||||||
\(920\) | 5.89964 | + | 1.25401i | 0.194505 | + | 0.0413434i | ||||
\(921\) | −1.83776 | + | 0.818221i | −0.0605561 | + | 0.0269613i | ||||
\(922\) | −20.5384 | − | 14.9221i | −0.676398 | − | 0.491432i | ||||
\(923\) | 35.3039 | + | 15.7183i | 1.16204 | + | 0.517375i | ||||
\(924\) | −6.88364 | − | 11.9228i | −0.226455 | − | 0.392232i | ||||
\(925\) | 4.86873 | − | 8.43289i | 0.160083 | − | 0.277272i | ||||
\(926\) | −14.0678 | + | 10.2208i | −0.462296 | + | 0.335878i | ||||
\(927\) | −14.9776 | + | 3.18359i | −0.491930 | + | 0.104563i | ||||
\(928\) | 1.43570 | + | 4.41862i | 0.0471291 | + | 0.145048i | ||||
\(929\) | −9.85642 | −0.323378 | −0.161689 | − | 0.986842i | \(-0.551694\pi\) | ||||
−0.161689 | + | 0.986842i | \(0.551694\pi\) | |||||||
\(930\) | 2.58958 | − | 4.92890i | 0.0849158 | − | 0.161625i | ||||
\(931\) | −18.2694 | −0.598755 | ||||||||
\(932\) | −3.49734 | − | 10.7637i | −0.114559 | − | 0.352577i | ||||
\(933\) | 30.1586 | − | 6.41041i | 0.987349 | − | 0.209868i | ||||
\(934\) | −27.3758 | + | 19.8897i | −0.895763 | + | 0.650810i | ||||
\(935\) | 15.8071 | − | 27.3787i | 0.516948 | − | 0.895380i | ||||
\(936\) | −1.47988 | − | 2.56323i | −0.0483714 | − | 0.0837817i | ||||
\(937\) | −22.1248 | − | 9.85058i | −0.722785 | − | 0.321805i | 0.0121650 | − | 0.999926i | \(-0.496128\pi\) |
−0.734950 | + | 0.678121i | \(0.762794\pi\) | |||||||
\(938\) | 18.5729 | + | 13.4940i | 0.606428 | + | 0.440595i | ||||
\(939\) | −8.88438 | + | 3.95558i | −0.289931 | + | 0.129086i | ||||
\(940\) | −4.25193 | − | 0.903776i | −0.138683 | − | 0.0294779i | ||||
\(941\) | −0.870535 | − | 8.28259i | −0.0283786 | − | 0.270005i | −0.999506 | − | 0.0314414i | \(-0.989990\pi\) |
0.971127 | − | 0.238563i | \(-0.0766764\pi\) | |||||||
\(942\) | −8.22938 | + | 9.13966i | −0.268128 | + | 0.297786i | ||||
\(943\) | −41.5474 | − | 46.1431i | −1.35297 | − | 1.50263i | ||||
\(944\) | −1.42346 | + | 13.5433i | −0.0463297 | + | 0.440798i | ||||
\(945\) | 1.07918 | − | 3.32137i | 0.0351057 | − | 0.108044i | ||||
\(946\) | 8.70070 | − | 26.7780i | 0.282884 | − | 0.870628i | ||||
\(947\) | −4.72835 | + | 44.9872i | −0.153651 | + | 1.46189i | 0.597559 | + | 0.801825i | \(0.296137\pi\) |
−0.751209 | + | 0.660064i | \(0.770529\pi\) | |||||||
\(948\) | −1.28366 | − | 1.42565i | −0.0416913 | − | 0.0463029i | ||||
\(949\) | −0.0484881 | + | 0.0538515i | −0.00157399 | + | 0.00174809i | ||||
\(950\) | 0.367519 | + | 3.49671i | 0.0119239 | + | 0.113448i | ||||
\(951\) | 1.44388 | + | 0.306906i | 0.0468210 | + | 0.00995211i | ||||
\(952\) | −25.5850 | + | 11.3912i | −0.829215 | + | 0.369190i | ||||
\(953\) | −10.3449 | − | 7.51604i | −0.335106 | − | 0.243468i | 0.407488 | − | 0.913210i | \(-0.366405\pi\) |
−0.742594 | + | 0.669742i | \(0.766405\pi\) | |||||||
\(954\) | 8.36017 | + | 3.72219i | 0.270670 | + | 0.120510i | ||||
\(955\) | 10.2917 | + | 17.8258i | 0.333032 | + | 0.576828i | ||||
\(956\) | 13.7351 | − | 23.7899i | 0.444224 | − | 0.769419i | ||||
\(957\) | −14.8175 | + | 10.7656i | −0.478983 | + | 0.348001i | ||||
\(958\) | 14.1648 | − | 3.01082i | 0.457644 | − | 0.0972752i | ||||
\(959\) | 0.986176 | + | 3.03514i | 0.0318453 | + | 0.0980098i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −17.5881 | − | 25.5276i | −0.567359 | − | 0.823471i | ||||
\(962\) | −28.8206 | −0.929212 | ||||||||
\(963\) | −4.38567 | − | 13.4977i | −0.141326 | − | 0.434958i | ||||
\(964\) | 3.59852 | − | 0.764888i | 0.115900 | − | 0.0246354i | ||||
\(965\) | 4.81480 | − | 3.49816i | 0.154994 | − | 0.112610i | ||||
\(966\) | 10.5318 | − | 18.2416i | 0.338855 | − | 0.586914i | ||||
\(967\) | 8.37126 | + | 14.4995i | 0.269202 | + | 0.466271i | 0.968656 | − | 0.248406i | \(-0.0799068\pi\) |
−0.699454 | + | 0.714677i | \(0.746574\pi\) | |||||||
\(968\) | 4.14829 | + | 1.84694i | 0.133331 | + | 0.0593628i | ||||
\(969\) | 22.8112 | + | 16.5733i | 0.732800 | + | 0.532411i | ||||
\(970\) | −1.24868 | + | 0.555949i | −0.0400927 | + | 0.0178504i | ||||
\(971\) | 16.0211 | + | 3.40539i | 0.514142 | + | 0.109284i | 0.457674 | − | 0.889120i | \(-0.348683\pi\) |
0.0564683 | + | 0.998404i | \(0.482016\pi\) | |||||||
\(972\) | 0.104528 | + | 0.994522i | 0.00335275 | + | 0.0318993i | ||||
\(973\) | −29.5222 | + | 32.7878i | −0.946439 | + | 1.05113i | ||||
\(974\) | −5.43471 | − | 6.03586i | −0.174139 | − | 0.193401i | ||||
\(975\) | 0.309379 | − | 2.94355i | 0.00990806 | − | 0.0942689i | ||||
\(976\) | −3.19755 | + | 9.84105i | −0.102351 | + | 0.315004i | ||||
\(977\) | −8.24693 | + | 25.3814i | −0.263843 | + | 0.812024i | 0.728115 | + | 0.685455i | \(0.240397\pi\) |
−0.991958 | + | 0.126569i | \(0.959603\pi\) | |||||||
\(978\) | −0.867831 | + | 8.25686i | −0.0277502 | + | 0.264025i | ||||
\(979\) | 8.83540 | + | 9.81271i | 0.282381 | + | 0.313616i | ||||
\(980\) | −3.47688 | + | 3.86147i | −0.111065 | + | 0.123350i | ||||
\(981\) | −0.842580 | − | 8.01661i | −0.0269015 | − | 0.255951i | ||||
\(982\) | −42.5849 | − | 9.05171i | −1.35894 | − | 0.288852i | ||||
\(983\) | 8.98638 | − | 4.00099i | 0.286621 | − | 0.127612i | −0.258390 | − | 0.966041i | \(-0.583192\pi\) |
0.545011 | + | 0.838429i | \(0.316525\pi\) | |||||||
\(984\) | −8.32855 | − | 6.05104i | −0.265504 | − | 0.192900i | ||||
\(985\) | −11.8211 | − | 5.26307i | −0.376650 | − | 0.167695i | ||||
\(986\) | 18.6292 | + | 32.2668i | 0.593276 | + | 1.02758i | ||||
\(987\) | −7.59037 | + | 13.1469i | −0.241604 | + | 0.418470i | ||||
\(988\) | 8.41897 | − | 6.11674i | 0.267843 | − | 0.194600i | ||||
\(989\) | 42.1367 | − | 8.95642i | 1.33987 | − | 0.284798i | ||||
\(990\) | 1.21820 | + | 3.74925i | 0.0387171 | + | 0.119159i | ||||
\(991\) | 43.4351 | 1.37976 | 0.689880 | − | 0.723924i | \(-0.257663\pi\) | ||||
0.689880 | + | 0.723924i | \(0.257663\pi\) | |||||||
\(992\) | 2.58958 | − | 4.92890i | 0.0822194 | − | 0.156493i | ||||
\(993\) | 30.7775 | 0.976695 | ||||||||
\(994\) | 14.0906 | + | 43.3664i | 0.446927 | + | 1.37550i | ||||
\(995\) | −9.60654 | + | 2.04193i | −0.304548 | + | 0.0647337i | ||||
\(996\) | 8.53133 | − | 6.19837i | 0.270325 | − | 0.196403i | ||||
\(997\) | −0.354109 | + | 0.613335i | −0.0112147 | + | 0.0194245i | −0.871578 | − | 0.490256i | \(-0.836903\pi\) |
0.860364 | + | 0.509681i | \(0.170237\pi\) | |||||||
\(998\) | 8.59011 | + | 14.8785i | 0.271915 | + | 0.470971i | ||||
\(999\) | 8.89562 | + | 3.96058i | 0.281445 | + | 0.125307i |
(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 | 930.2.bg.c.751.2 | yes | 16 | |
31.9 | even | 15 | inner | 930.2.bg.c.691.2 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.c.691.2 | ✓ | 16 | 31.9 | even | 15 | inner | |
930.2.bg.c.751.2 | yes | 16 | 1.1 | even | 1 | trivial |