Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,2,Mod(43,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.u (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.27760643234\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 43.9 | ||
Character | \(\chi\) | \(=\) | 160.43 |
Dual form | 160.2.u.a.67.9 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.491080 | + | 1.32621i | −0.347246 | + | 0.937774i | ||||
\(3\) | 0.896482 | − | 2.16430i | 0.517584 | − | 1.24956i | −0.421799 | − | 0.906690i | \(-0.638601\pi\) |
0.939383 | − | 0.342870i | \(-0.111399\pi\) | |||||||
\(4\) | −1.51768 | − | 1.30255i | −0.758840 | − | 0.651277i | ||||
\(5\) | −2.04305 | − | 0.908815i | −0.913680 | − | 0.406435i | ||||
\(6\) | 2.43008 | + | 2.25177i | 0.992075 | + | 0.919282i | ||||
\(7\) | − | 0.225996i | − | 0.0854185i | −0.999088 | − | 0.0427093i | \(-0.986401\pi\) | ||
0.999088 | − | 0.0427093i | \(-0.0135989\pi\) | |||||||
\(8\) | 2.47277 | − | 1.37311i | 0.874255 | − | 0.485467i | ||||
\(9\) | −1.75919 | − | 1.75919i | −0.586398 | − | 0.586398i | ||||
\(10\) | 2.20858 | − | 2.26322i | 0.698416 | − | 0.715692i | ||||
\(11\) | 1.96462 | − | 4.74300i | 0.592354 | − | 1.43007i | −0.288869 | − | 0.957369i | \(-0.593279\pi\) |
0.881223 | − | 0.472700i | \(-0.156721\pi\) | |||||||
\(12\) | −4.17969 | + | 2.11700i | −1.20657 | + | 0.611125i | ||||
\(13\) | 0.685529 | − | 1.65501i | 0.190132 | − | 0.459018i | −0.799853 | − | 0.600196i | \(-0.795089\pi\) |
0.989984 | + | 0.141178i | \(0.0450891\pi\) | |||||||
\(14\) | 0.299719 | + | 0.110982i | 0.0801033 | + | 0.0296613i | ||||
\(15\) | −3.79851 | + | 3.60704i | −0.980770 | + | 0.931333i | ||||
\(16\) | 0.606705 | + | 3.95372i | 0.151676 | + | 0.988430i | ||||
\(17\) | −3.79529 | − | 3.79529i | −0.920492 | − | 0.920492i | 0.0765721 | − | 0.997064i | \(-0.475602\pi\) |
−0.997064 | + | 0.0765721i | \(0.975602\pi\) | |||||||
\(18\) | 3.19697 | − | 1.46916i | 0.753533 | − | 0.346284i | ||||
\(19\) | 2.12025 | + | 5.11874i | 0.486419 | + | 1.17432i | 0.956510 | + | 0.291701i | \(0.0942211\pi\) |
−0.470091 | + | 0.882618i | \(0.655779\pi\) | |||||||
\(20\) | 1.91692 | + | 4.04047i | 0.428635 | + | 0.903478i | ||||
\(21\) | −0.489123 | − | 0.202602i | −0.106735 | − | 0.0442113i | ||||
\(22\) | 5.32544 | + | 4.93469i | 1.13539 | + | 1.05208i | ||||
\(23\) | 3.18989i | 0.665138i | 0.943079 | + | 0.332569i | \(0.107915\pi\) | ||||
−0.943079 | + | 0.332569i | \(0.892085\pi\) | |||||||
\(24\) | −0.755024 | − | 6.58278i | −0.154119 | − | 1.34370i | ||||
\(25\) | 3.34811 | + | 3.71351i | 0.669622 | + | 0.742702i | ||||
\(26\) | 1.85825 | + | 1.72190i | 0.364433 | + | 0.337693i | ||||
\(27\) | 1.10839 | − | 0.459110i | 0.213310 | − | 0.0883559i | ||||
\(28\) | −0.294372 | + | 0.342990i | −0.0556311 | + | 0.0648190i | ||||
\(29\) | 1.83556 | + | 4.43144i | 0.340856 | + | 0.822898i | 0.997630 | + | 0.0688107i | \(0.0219205\pi\) |
−0.656774 | + | 0.754087i | \(0.728080\pi\) | |||||||
\(30\) | −2.91833 | − | 6.80897i | −0.532811 | − | 1.24314i | ||||
\(31\) | 9.28175i | 1.66705i | 0.552481 | + | 0.833525i | \(0.313681\pi\) | ||||
−0.552481 | + | 0.833525i | \(0.686319\pi\) | |||||||
\(32\) | −5.54142 | − | 1.13698i | −0.979593 | − | 0.200991i | ||||
\(33\) | −8.50404 | − | 8.50404i | −1.48036 | − | 1.48036i | ||||
\(34\) | 6.89715 | − | 3.16956i | 1.18285 | − | 0.543576i | ||||
\(35\) | −0.205389 | + | 0.461722i | −0.0347170 | + | 0.0780452i | ||||
\(36\) | 0.378448 | + | 4.96134i | 0.0630746 | + | 0.826890i | ||||
\(37\) | −2.40921 | − | 5.81634i | −0.396071 | − | 0.956201i | −0.988588 | − | 0.150643i | \(-0.951866\pi\) |
0.592517 | − | 0.805558i | \(-0.298134\pi\) | |||||||
\(38\) | −7.82974 | + | 0.298191i | −1.27015 | + | 0.0483729i | ||||
\(39\) | −2.96738 | − | 2.96738i | −0.475161 | − | 0.475161i | ||||
\(40\) | −6.29989 | + | 0.558039i | −0.996100 | + | 0.0882338i | ||||
\(41\) | 0.978909 | − | 0.978909i | 0.152880 | − | 0.152880i | −0.626523 | − | 0.779403i | \(-0.715523\pi\) |
0.779403 | + | 0.626523i | \(0.215523\pi\) | |||||||
\(42\) | 0.508892 | − | 0.549188i | 0.0785237 | − | 0.0847416i | ||||
\(43\) | 3.67918 | − | 1.52396i | 0.561069 | − | 0.232402i | −0.0840802 | − | 0.996459i | \(-0.526795\pi\) |
0.645149 | + | 0.764057i | \(0.276795\pi\) | |||||||
\(44\) | −9.15967 | + | 4.63934i | −1.38087 | + | 0.699407i | ||||
\(45\) | 1.99534 | + | 5.19290i | 0.297448 | + | 0.774112i | ||||
\(46\) | −4.23047 | − | 1.56649i | −0.623749 | − | 0.230967i | ||||
\(47\) | 1.51531 | − | 1.51531i | 0.221031 | − | 0.221031i | −0.587902 | − | 0.808932i | \(-0.700046\pi\) |
0.808932 | + | 0.587902i | \(0.200046\pi\) | |||||||
\(48\) | 9.10094 | + | 2.23135i | 1.31361 | + | 0.322068i | ||||
\(49\) | 6.94893 | 0.992704 | ||||||||
\(50\) | −6.56910 | + | 2.61667i | −0.929010 | + | 0.370053i | ||||
\(51\) | −11.6165 | + | 4.81173i | −1.62664 | + | 0.673777i | ||||
\(52\) | −3.19616 | + | 1.61884i | −0.443228 | + | 0.224493i | ||||
\(53\) | −1.66617 | − | 4.02250i | −0.228867 | − | 0.552533i | 0.767173 | − | 0.641440i | \(-0.221663\pi\) |
−0.996040 | + | 0.0889071i | \(0.971663\pi\) | |||||||
\(54\) | 0.0645691 | + | 1.69542i | 0.00878674 | + | 0.230718i | ||||
\(55\) | −8.32432 | + | 7.90472i | −1.12245 | + | 1.06587i | ||||
\(56\) | −0.310317 | − | 0.558836i | −0.0414678 | − | 0.0746776i | ||||
\(57\) | 12.9792 | 1.71914 | ||||||||
\(58\) | −6.77844 | + | 0.258153i | −0.890053 | + | 0.0338971i | ||||
\(59\) | 0.961345 | − | 2.32089i | 0.125156 | − | 0.302155i | −0.848865 | − | 0.528609i | \(-0.822714\pi\) |
0.974022 | + | 0.226455i | \(0.0727136\pi\) | |||||||
\(60\) | 10.4633 | − | 0.526566i | 1.35080 | − | 0.0679793i | ||||
\(61\) | 4.41229 | − | 1.82763i | 0.564936 | − | 0.234004i | −0.0818906 | − | 0.996641i | \(-0.526096\pi\) |
0.646826 | + | 0.762637i | \(0.276096\pi\) | |||||||
\(62\) | −12.3096 | − | 4.55808i | −1.56332 | − | 0.578877i | ||||
\(63\) | −0.397571 | + | 0.397571i | −0.0500892 | + | 0.0500892i | ||||
\(64\) | 4.22915 | − | 6.79075i | 0.528644 | − | 0.848844i | ||||
\(65\) | −2.90467 | + | 2.75826i | −0.360280 | + | 0.342120i | ||||
\(66\) | 15.4543 | − | 7.10199i | 1.90230 | − | 0.874195i | ||||
\(67\) | 11.6299 | + | 4.81725i | 1.42081 | + | 0.588521i | 0.955065 | − | 0.296396i | \(-0.0957847\pi\) |
0.465750 | + | 0.884916i | \(0.345785\pi\) | |||||||
\(68\) | 0.816463 | + | 10.7036i | 0.0990107 | + | 1.29800i | ||||
\(69\) | 6.90387 | + | 2.85968i | 0.831129 | + | 0.344265i | ||||
\(70\) | −0.511479 | − | 0.499132i | −0.0611334 | − | 0.0596576i | ||||
\(71\) | 4.39574 | − | 4.39574i | 0.521678 | − | 0.521678i | −0.396400 | − | 0.918078i | \(-0.629741\pi\) |
0.918078 | + | 0.396400i | \(0.129741\pi\) | |||||||
\(72\) | −6.76564 | − | 1.93451i | −0.797338 | − | 0.227985i | ||||
\(73\) | −12.4893 | −1.46176 | −0.730881 | − | 0.682505i | \(-0.760891\pi\) | ||||
−0.730881 | + | 0.682505i | \(0.760891\pi\) | |||||||
\(74\) | 8.89682 | − | 0.338830i | 1.03423 | − | 0.0393882i | ||||
\(75\) | 11.0387 | − | 3.91722i | 1.27464 | − | 0.452321i | ||||
\(76\) | 3.44957 | − | 10.5303i | 0.395693 | − | 1.20791i | ||||
\(77\) | −1.07190 | − | 0.443996i | −0.122154 | − | 0.0505980i | ||||
\(78\) | 5.39260 | − | 2.47816i | 0.610592 | − | 0.280596i | ||||
\(79\) | − | 6.43026i | − | 0.723460i | −0.932283 | − | 0.361730i | \(-0.882186\pi\) | ||
0.932283 | − | 0.361730i | \(-0.117814\pi\) | |||||||
\(80\) | 2.35367 | − | 8.62903i | 0.263149 | − | 0.964755i | ||||
\(81\) | − | 10.2741i | − | 1.14157i | ||||||
\(82\) | 0.817519 | + | 1.77896i | 0.0902798 | + | 0.196454i | ||||
\(83\) | −2.87705 | − | 1.19172i | −0.315798 | − | 0.130808i | 0.219154 | − | 0.975690i | \(-0.429670\pi\) |
−0.534952 | + | 0.844883i | \(0.679670\pi\) | |||||||
\(84\) | 0.478433 | + | 0.944594i | 0.0522014 | + | 0.103064i | ||||
\(85\) | 4.30475 | + | 11.2032i | 0.466915 | + | 1.21515i | ||||
\(86\) | 0.214330 | + | 5.62776i | 0.0231118 | + | 0.606857i | ||||
\(87\) | 11.2365 | 1.20468 | ||||||||
\(88\) | −1.65461 | − | 14.4260i | −0.176382 | − | 1.53781i | ||||
\(89\) | −1.95412 | + | 1.95412i | −0.207136 | + | 0.207136i | −0.803049 | − | 0.595913i | \(-0.796790\pi\) |
0.595913 | + | 0.803049i | \(0.296790\pi\) | |||||||
\(90\) | −7.86677 | + | 0.0961109i | −0.829230 | + | 0.0101310i | ||||
\(91\) | −0.374027 | − | 0.154927i | −0.0392087 | − | 0.0162408i | ||||
\(92\) | 4.15500 | − | 4.84123i | 0.433189 | − | 0.504733i | ||||
\(93\) | 20.0885 | + | 8.32092i | 2.08308 | + | 0.862839i | ||||
\(94\) | 1.26548 | + | 2.75376i | 0.130525 | + | 0.284029i | ||||
\(95\) | 0.320208 | − | 12.3847i | 0.0328526 | − | 1.27065i | ||||
\(96\) | −7.42854 | + | 10.9740i | −0.758172 | + | 1.12003i | ||||
\(97\) | −7.92205 | + | 7.92205i | −0.804362 | + | 0.804362i | −0.983774 | − | 0.179412i | \(-0.942581\pi\) |
0.179412 | + | 0.983774i | \(0.442581\pi\) | |||||||
\(98\) | −3.41248 | + | 9.21575i | −0.344713 | + | 0.930932i | ||||
\(99\) | −11.8000 | + | 4.88772i | −1.18594 | + | 0.491234i | ||||
\(100\) | −0.244310 | − | 9.99702i | −0.0244310 | − | 0.999702i | ||||
\(101\) | −6.99275 | + | 16.8820i | −0.695805 | + | 1.67982i | 0.0369392 | + | 0.999318i | \(0.488239\pi\) |
−0.732744 | + | 0.680504i | \(0.761761\pi\) | |||||||
\(102\) | −0.676719 | − | 17.7690i | −0.0670052 | − | 1.75939i | ||||
\(103\) | 8.45308 | 0.832907 | 0.416453 | − | 0.909157i | \(-0.363273\pi\) | ||||
0.416453 | + | 0.909157i | \(0.363273\pi\) | |||||||
\(104\) | −0.577358 | − | 5.03377i | −0.0566146 | − | 0.493602i | ||||
\(105\) | 0.815177 | + | 0.858448i | 0.0795531 | + | 0.0837760i | ||||
\(106\) | 6.15291 | − | 0.234330i | 0.597624 | − | 0.0227601i | ||||
\(107\) | 2.18072 | + | 5.26473i | 0.210818 | + | 0.508960i | 0.993549 | − | 0.113400i | \(-0.0361740\pi\) |
−0.782731 | + | 0.622360i | \(0.786174\pi\) | |||||||
\(108\) | −2.28020 | − | 0.746956i | −0.219412 | − | 0.0718759i | ||||
\(109\) | −4.74770 | + | 1.96656i | −0.454747 | + | 0.188362i | −0.598286 | − | 0.801282i | \(-0.704152\pi\) |
0.143540 | + | 0.989645i | \(0.454152\pi\) | |||||||
\(110\) | −6.39543 | − | 14.9217i | −0.609780 | − | 1.42273i | ||||
\(111\) | −14.7481 | −1.39983 | ||||||||
\(112\) | 0.893526 | − | 0.137113i | 0.0844302 | − | 0.0129560i | ||||
\(113\) | −6.22321 | + | 6.22321i | −0.585430 | + | 0.585430i | −0.936390 | − | 0.350960i | \(-0.885855\pi\) |
0.350960 | + | 0.936390i | \(0.385855\pi\) | |||||||
\(114\) | −6.37385 | + | 17.2132i | −0.596966 | + | 1.61217i | ||||
\(115\) | 2.89902 | − | 6.51710i | 0.270335 | − | 0.607723i | ||||
\(116\) | 2.98640 | − | 9.11643i | 0.277280 | − | 0.846439i | ||||
\(117\) | −4.11747 | + | 1.70551i | −0.380660 | + | 0.157675i | ||||
\(118\) | 2.60590 | + | 2.41469i | 0.239892 | + | 0.222291i | ||||
\(119\) | −0.857720 | + | 0.857720i | −0.0786270 | + | 0.0786270i | ||||
\(120\) | −4.43997 | + | 14.1351i | −0.405312 | + | 1.29035i | ||||
\(121\) | −10.8582 | − | 10.8582i | −0.987107 | − | 0.987107i | ||||
\(122\) | 0.257037 | + | 6.74915i | 0.0232710 | + | 0.611039i | ||||
\(123\) | −1.24108 | − | 2.99623i | −0.111904 | − | 0.270161i | ||||
\(124\) | 12.0900 | − | 14.0867i | 1.08571 | − | 1.26502i | ||||
\(125\) | −3.46546 | − | 10.6297i | −0.309960 | − | 0.950749i | ||||
\(126\) | −0.332024 | − | 0.722503i | −0.0295791 | − | 0.0643657i | ||||
\(127\) | −3.34235 | − | 3.34235i | −0.296586 | − | 0.296586i | 0.543089 | − | 0.839675i | \(-0.317255\pi\) |
−0.839675 | + | 0.543089i | \(0.817255\pi\) | |||||||
\(128\) | 6.92912 | + | 8.94356i | 0.612454 | + | 0.790506i | ||||
\(129\) | − | 9.32905i | − | 0.821377i | ||||||
\(130\) | −2.23161 | − | 5.20674i | −0.195725 | − | 0.456661i | ||||
\(131\) | 1.09217 | + | 2.63674i | 0.0954236 | + | 0.230373i | 0.964383 | − | 0.264511i | \(-0.0852106\pi\) |
−0.868959 | + | 0.494884i | \(0.835211\pi\) | |||||||
\(132\) | 1.82944 | + | 23.9834i | 0.159232 | + | 2.08748i | ||||
\(133\) | 1.15681 | − | 0.479168i | 0.100309 | − | 0.0415492i | ||||
\(134\) | −12.0999 | + | 13.0580i | −1.04527 | + | 1.12804i | ||||
\(135\) | −2.68174 | − | 0.0693365i | −0.230808 | − | 0.00596754i | ||||
\(136\) | −14.5962 | − | 4.17352i | −1.25161 | − | 0.357877i | ||||
\(137\) | 14.0141i | 1.19730i | 0.801009 | + | 0.598652i | \(0.204297\pi\) | ||||
−0.801009 | + | 0.598652i | \(0.795703\pi\) | |||||||
\(138\) | −7.18290 | + | 7.75167i | −0.611449 | + | 0.659866i | ||||
\(139\) | −13.8674 | − | 5.74407i | −1.17622 | − | 0.487206i | −0.292975 | − | 0.956120i | \(-0.594645\pi\) |
−0.883244 | + | 0.468914i | \(0.844645\pi\) | |||||||
\(140\) | 0.913132 | − | 0.433215i | 0.0771737 | − | 0.0366134i | ||||
\(141\) | −1.92114 | − | 4.63803i | −0.161789 | − | 0.390593i | ||||
\(142\) | 3.67102 | + | 7.98834i | 0.308065 | + | 0.670367i | ||||
\(143\) | −6.50293 | − | 6.50293i | −0.543802 | − | 0.543802i | ||||
\(144\) | 5.88805 | − | 8.02267i | 0.490671 | − | 0.668556i | ||||
\(145\) | 0.277213 | − | 10.7218i | 0.0230213 | − | 0.890401i | ||||
\(146\) | 6.13325 | − | 16.5635i | 0.507592 | − | 1.37080i | ||||
\(147\) | 6.22959 | − | 15.0396i | 0.513808 | − | 1.24044i | ||||
\(148\) | −3.91970 | + | 11.9655i | −0.322197 | + | 0.983556i | ||||
\(149\) | −0.0367081 | + | 0.0886211i | −0.00300724 | + | 0.00726012i | −0.925376 | − | 0.379050i | \(-0.876251\pi\) |
0.922369 | + | 0.386311i | \(0.126251\pi\) | |||||||
\(150\) | −0.225813 | + | 16.5633i | −0.0184376 | + | 1.35239i | ||||
\(151\) | 16.2593 | + | 16.2593i | 1.32317 | + | 1.32317i | 0.911199 | + | 0.411966i | \(0.135158\pi\) |
0.411966 | + | 0.911199i | \(0.364842\pi\) | |||||||
\(152\) | 12.2715 | + | 9.74611i | 0.995347 | + | 0.790514i | ||||
\(153\) | 13.3533i | 1.07955i | ||||||||
\(154\) | 1.11522 | − | 1.20353i | 0.0898671 | − | 0.0969832i | ||||
\(155\) | 8.43539 | − | 18.9631i | 0.677547 | − | 1.52315i | ||||
\(156\) | 0.638360 | + | 8.36871i | 0.0511097 | + | 0.670033i | ||||
\(157\) | 5.16361 | − | 12.4661i | 0.412101 | − | 0.994900i | −0.572472 | − | 0.819924i | \(-0.694015\pi\) |
0.984573 | − | 0.174975i | \(-0.0559846\pi\) | |||||||
\(158\) | 8.52789 | + | 3.15777i | 0.678442 | + | 0.251219i | ||||
\(159\) | −10.1996 | −0.808880 | ||||||||
\(160\) | 10.2881 | + | 7.35902i | 0.813345 | + | 0.581782i | ||||
\(161\) | 0.720902 | 0.0568151 | ||||||||
\(162\) | 13.6256 | + | 5.04541i | 1.07053 | + | 0.396405i | ||||
\(163\) | −0.413177 | + | 0.997498i | −0.0323625 | + | 0.0781300i | −0.939235 | − | 0.343276i | \(-0.888463\pi\) |
0.906872 | + | 0.421406i | \(0.138463\pi\) | |||||||
\(164\) | −2.76075 | + | 0.210588i | −0.215579 | + | 0.0164442i | ||||
\(165\) | 9.64558 | + | 25.1028i | 0.750907 | + | 1.95425i | ||||
\(166\) | 2.99333 | − | 3.23036i | 0.232328 | − | 0.250724i | ||||
\(167\) | 9.77444i | 0.756369i | 0.925730 | + | 0.378185i | \(0.123452\pi\) | ||||
−0.925730 | + | 0.378185i | \(0.876548\pi\) | |||||||
\(168\) | −1.48768 | + | 0.170633i | −0.114777 | + | 0.0131646i | ||||
\(169\) | 6.92327 | + | 6.92327i | 0.532559 | + | 0.532559i | ||||
\(170\) | −16.9718 | + | 0.207350i | −1.30167 | + | 0.0159030i | ||||
\(171\) | 5.27492 | − | 12.7348i | 0.403383 | − | 0.973853i | ||||
\(172\) | −7.56886 | − | 2.47944i | −0.577120 | − | 0.189055i | ||||
\(173\) | 3.81340 | − | 9.20637i | 0.289928 | − | 0.699947i | −0.710064 | − | 0.704138i | \(-0.751334\pi\) |
0.999991 | + | 0.00419038i | \(0.00133384\pi\) | |||||||
\(174\) | −5.51804 | + | 14.9020i | −0.418321 | + | 1.12972i | ||||
\(175\) | 0.839239 | − | 0.756660i | 0.0634405 | − | 0.0571981i | ||||
\(176\) | 19.9444 | + | 4.88994i | 1.50337 | + | 0.368593i | ||||
\(177\) | −4.16128 | − | 4.16128i | −0.312781 | − | 0.312781i | ||||
\(178\) | −1.63195 | − | 3.55120i | −0.122320 | − | 0.266174i | ||||
\(179\) | 1.30341 | + | 3.14672i | 0.0974217 | + | 0.235197i | 0.965075 | − | 0.261972i | \(-0.0843729\pi\) |
−0.867654 | + | 0.497169i | \(0.834373\pi\) | |||||||
\(180\) | 3.73575 | − | 10.4802i | 0.278447 | − | 0.781148i | ||||
\(181\) | −18.5221 | − | 7.67212i | −1.37674 | − | 0.570264i | −0.433132 | − | 0.901330i | \(-0.642592\pi\) |
−0.943608 | + | 0.331066i | \(0.892592\pi\) | |||||||
\(182\) | 0.389143 | − | 0.419957i | 0.0288452 | − | 0.0311293i | ||||
\(183\) | − | 11.1880i | − | 0.827038i | ||||||
\(184\) | 4.38006 | + | 7.88785i | 0.322902 | + | 0.581500i | ||||
\(185\) | −0.363847 | + | 14.0726i | −0.0267506 | + | 1.03464i | ||||
\(186\) | −20.9004 | + | 22.5554i | −1.53249 | + | 1.65384i | ||||
\(187\) | −25.4573 | + | 10.5448i | −1.86162 | + | 0.771110i | ||||
\(188\) | −4.27353 | + | 0.325982i | −0.311679 | + | 0.0237747i | ||||
\(189\) | −0.103757 | − | 0.250492i | −0.00754723 | − | 0.0182206i | ||||
\(190\) | 16.2676 | + | 6.50657i | 1.18017 | + | 0.472036i | ||||
\(191\) | − | 15.6968i | − | 1.13578i | −0.823103 | − | 0.567892i | \(-0.807759\pi\) | ||
0.823103 | − | 0.567892i | \(-0.192241\pi\) | |||||||
\(192\) | −10.9059 | − | 15.2409i | −0.787062 | − | 1.09992i | ||||
\(193\) | 18.7999 | + | 18.7999i | 1.35324 | + | 1.35324i | 0.882008 | + | 0.471235i | \(0.156192\pi\) |
0.471235 | + | 0.882008i | \(0.343808\pi\) | |||||||
\(194\) | −6.61596 | − | 14.3967i | −0.474998 | − | 1.03362i | ||||
\(195\) | 3.36571 | + | 8.75931i | 0.241023 | + | 0.627267i | ||||
\(196\) | −10.5462 | − | 9.05135i | −0.753303 | − | 0.646525i | ||||
\(197\) | −4.35799 | − | 10.5211i | −0.310494 | − | 0.749598i | −0.999687 | − | 0.0250205i | \(-0.992035\pi\) |
0.689193 | − | 0.724578i | \(-0.257965\pi\) | |||||||
\(198\) | −0.687406 | − | 18.0496i | −0.0488518 | − | 1.28273i | ||||
\(199\) | −9.08836 | − | 9.08836i | −0.644257 | − | 0.644257i | 0.307342 | − | 0.951599i | \(-0.400560\pi\) |
−0.951599 | + | 0.307342i | \(0.900560\pi\) | |||||||
\(200\) | 13.3781 | + | 4.58533i | 0.945978 | + | 0.324232i | ||||
\(201\) | 20.8520 | − | 20.8520i | 1.47078 | − | 1.47078i | ||||
\(202\) | −18.9551 | − | 17.5643i | −1.33368 | − | 1.23582i | ||||
\(203\) | 1.00149 | − | 0.414830i | 0.0702907 | − | 0.0291154i | ||||
\(204\) | 23.8977 | + | 7.82851i | 1.67318 | + | 0.548105i | ||||
\(205\) | −2.88961 | + | 1.11031i | −0.201819 | + | 0.0775476i | ||||
\(206\) | −4.15114 | + | 11.2106i | −0.289224 | + | 0.781078i | ||||
\(207\) | 5.61163 | − | 5.61163i | 0.390035 | − | 0.390035i | ||||
\(208\) | 6.95938 | + | 1.70629i | 0.482546 | + | 0.118310i | ||||
\(209\) | 28.4436 | 1.96749 | ||||||||
\(210\) | −1.53880 | + | 0.659530i | −0.106187 | + | 0.0455119i | ||||
\(211\) | −4.07303 | + | 1.68710i | −0.280399 | + | 0.116145i | −0.518451 | − | 0.855107i | \(-0.673491\pi\) |
0.238052 | + | 0.971252i | \(0.423491\pi\) | |||||||
\(212\) | −2.71081 | + | 8.27515i | −0.186179 | + | 0.568339i | ||||
\(213\) | −5.57299 | − | 13.4544i | −0.381855 | − | 0.921880i | ||||
\(214\) | −8.05306 | + | 0.306696i | −0.550496 | + | 0.0209653i | ||||
\(215\) | −8.90174 | − | 0.230155i | −0.607094 | − | 0.0156964i | ||||
\(216\) | 2.11038 | − | 2.65721i | 0.143593 | − | 0.180800i | ||||
\(217\) | 2.09764 | 0.142397 | ||||||||
\(218\) | −0.276576 | − | 7.26219i | −0.0187321 | − | 0.491858i | ||||
\(219\) | −11.1964 | + | 27.0306i | −0.756585 | + | 1.82656i | ||||
\(220\) | 22.9300 | − | 1.15395i | 1.54594 | − | 0.0777995i | ||||
\(221\) | −8.88303 | + | 3.67947i | −0.597537 | + | 0.247508i | ||||
\(222\) | 7.24252 | − | 19.5592i | 0.486086 | − | 1.31272i | ||||
\(223\) | −9.37022 | + | 9.37022i | −0.627476 | + | 0.627476i | −0.947432 | − | 0.319956i | \(-0.896332\pi\) |
0.319956 | + | 0.947432i | \(0.396332\pi\) | |||||||
\(224\) | −0.256952 | + | 1.25234i | −0.0171683 | + | 0.0836754i | ||||
\(225\) | 0.642810 | − | 12.4228i | 0.0428540 | − | 0.828184i | ||||
\(226\) | −5.19720 | − | 11.3094i | −0.345713 | − | 0.752290i | ||||
\(227\) | −6.24504 | − | 2.58678i | −0.414498 | − | 0.171691i | 0.165682 | − | 0.986179i | \(-0.447018\pi\) |
−0.580179 | + | 0.814489i | \(0.697018\pi\) | |||||||
\(228\) | −19.6983 | − | 16.9062i | −1.30455 | − | 1.11964i | ||||
\(229\) | −11.5133 | − | 4.76897i | −0.760820 | − | 0.315142i | −0.0316725 | − | 0.999498i | \(-0.510083\pi\) |
−0.729148 | + | 0.684356i | \(0.760083\pi\) | |||||||
\(230\) | 7.21941 | + | 7.04514i | 0.476034 | + | 0.464543i | ||||
\(231\) | −1.92188 | + | 1.92188i | −0.126450 | + | 0.126450i | ||||
\(232\) | 10.6238 | + | 8.43750i | 0.697484 | + | 0.553949i | ||||
\(233\) | −9.04855 | −0.592790 | −0.296395 | − | 0.955065i | \(-0.595785\pi\) | ||||
−0.296395 | + | 0.955065i | \(0.595785\pi\) | |||||||
\(234\) | −0.239862 | − | 6.29818i | −0.0156803 | − | 0.411725i | ||||
\(235\) | −4.47299 | + | 1.71872i | −0.291786 | + | 0.112117i | ||||
\(236\) | −4.48210 | + | 2.27017i | −0.291760 | + | 0.147775i | ||||
\(237\) | −13.9170 | − | 5.76461i | −0.904006 | − | 0.374452i | ||||
\(238\) | −0.716309 | − | 1.55873i | −0.0464314 | − | 0.101037i | ||||
\(239\) | 12.8060i | 0.828354i | 0.910196 | + | 0.414177i | \(0.135930\pi\) | ||||
−0.910196 | + | 0.414177i | \(0.864070\pi\) | |||||||
\(240\) | −16.5658 | − | 12.8298i | −1.06932 | − | 0.828162i | ||||
\(241\) | 20.8499i | 1.34306i | 0.740977 | + | 0.671530i | \(0.234363\pi\) | ||||
−0.740977 | + | 0.671530i | \(0.765637\pi\) | |||||||
\(242\) | 19.7325 | − | 9.06801i | 1.26845 | − | 0.582914i | ||||
\(243\) | −18.9111 | − | 7.83322i | −1.21315 | − | 0.502501i | ||||
\(244\) | −9.07703 | − | 2.97349i | −0.581097 | − | 0.190358i | ||||
\(245\) | −14.1970 | − | 6.31529i | −0.907013 | − | 0.403469i | ||||
\(246\) | 4.58310 | − | 0.174545i | 0.292208 | − | 0.0111286i | ||||
\(247\) | 9.92507 | 0.631517 | ||||||||
\(248\) | 12.7448 | + | 22.9516i | 0.809298 | + | 1.45743i | ||||
\(249\) | −5.15846 | + | 5.15846i | −0.326904 | + | 0.326904i | ||||
\(250\) | 15.7991 | + | 0.624099i | 0.999221 | + | 0.0394715i | ||||
\(251\) | 19.6898 | + | 8.15577i | 1.24281 | + | 0.514787i | 0.904591 | − | 0.426281i | \(-0.140177\pi\) |
0.338216 | + | 0.941068i | \(0.390177\pi\) | |||||||
\(252\) | 1.12124 | − | 0.0855277i | 0.0706317 | − | 0.00538774i | ||||
\(253\) | 15.1296 | + | 6.26690i | 0.951193 | + | 0.393997i | ||||
\(254\) | 6.07404 | − | 2.79131i | 0.381119 | − | 0.175142i | ||||
\(255\) | 28.1062 | + | 0.726685i | 1.76008 | + | 0.0455068i | ||||
\(256\) | −15.2638 | + | 4.79748i | −0.953989 | + | 0.299843i | ||||
\(257\) | 8.85918 | − | 8.85918i | 0.552620 | − | 0.552620i | −0.374576 | − | 0.927196i | \(-0.622212\pi\) |
0.927196 | + | 0.374576i | \(0.122212\pi\) | |||||||
\(258\) | 12.3723 | + | 4.58131i | 0.770266 | + | 0.285220i | ||||
\(259\) | −1.31447 | + | 0.544472i | −0.0816773 | + | 0.0338318i | ||||
\(260\) | 8.00114 | − | 0.402658i | 0.496210 | − | 0.0249718i | ||||
\(261\) | 4.56665 | − | 11.0249i | 0.282669 | − | 0.682423i | ||||
\(262\) | −4.03322 | + | 0.153603i | −0.249173 | + | 0.00948960i | ||||
\(263\) | 18.0021 | 1.11006 | 0.555029 | − | 0.831831i | \(-0.312707\pi\) | ||||
0.555029 | + | 0.831831i | \(0.312707\pi\) | |||||||
\(264\) | −32.7055 | − | 9.35154i | −2.01288 | − | 0.575548i | ||||
\(265\) | −0.251631 | + | 9.73241i | −0.0154576 | + | 0.597857i | ||||
\(266\) | 0.0673900 | + | 1.76949i | 0.00413194 | + | 0.108495i | ||||
\(267\) | 2.47746 | + | 5.98113i | 0.151618 | + | 0.366039i | ||||
\(268\) | −11.3757 | − | 22.4596i | −0.694881 | − | 1.37194i | ||||
\(269\) | 17.6377 | − | 7.30577i | 1.07539 | − | 0.445440i | 0.226499 | − | 0.974011i | \(-0.427272\pi\) |
0.848889 | + | 0.528571i | \(0.177272\pi\) | |||||||
\(270\) | 1.40891 | − | 3.52251i | 0.0857434 | − | 0.214373i | ||||
\(271\) | −17.5161 | −1.06403 | −0.532015 | − | 0.846735i | \(-0.678565\pi\) | ||||
−0.532015 | + | 0.846735i | \(0.678565\pi\) | |||||||
\(272\) | 12.7029 | − | 17.3081i | 0.770225 | − | 1.04946i | ||||
\(273\) | −0.670617 | + | 0.670617i | −0.0405876 | + | 0.0405876i | ||||
\(274\) | −18.5857 | − | 6.88204i | −1.12280 | − | 0.415759i | ||||
\(275\) | 24.1909 | − | 8.58447i | 1.45877 | − | 0.517663i | ||||
\(276\) | −6.75299 | − | 13.3327i | −0.406482 | − | 0.802537i | ||||
\(277\) | 13.7813 | − | 5.70841i | 0.828040 | − | 0.342985i | 0.0719134 | − | 0.997411i | \(-0.477089\pi\) |
0.756126 | + | 0.654426i | \(0.227089\pi\) | |||||||
\(278\) | 14.4279 | − | 15.5703i | 0.865327 | − | 0.933847i | ||||
\(279\) | 16.3284 | − | 16.3284i | 0.977555 | − | 0.977555i | ||||
\(280\) | 0.126115 | + | 1.42375i | 0.00753680 | + | 0.0850854i | ||||
\(281\) | −1.88009 | − | 1.88009i | −0.112157 | − | 0.112157i | 0.648801 | − | 0.760958i | \(-0.275271\pi\) |
−0.760958 | + | 0.648801i | \(0.775271\pi\) | |||||||
\(282\) | 7.09445 | − | 0.270188i | 0.422468 | − | 0.0160894i | ||||
\(283\) | −3.45874 | − | 8.35014i | −0.205601 | − | 0.496364i | 0.787120 | − | 0.616799i | \(-0.211571\pi\) |
−0.992721 | + | 0.120435i | \(0.961571\pi\) | |||||||
\(284\) | −12.3970 | + | 0.945636i | −0.735627 | + | 0.0561132i | ||||
\(285\) | −26.5173 | − | 11.7957i | −1.57075 | − | 0.698719i | ||||
\(286\) | 11.8177 | − | 5.43081i | 0.698797 | − | 0.321130i | ||||
\(287\) | −0.221230 | − | 0.221230i | −0.0130588 | − | 0.0130588i | ||||
\(288\) | 7.74826 | + | 11.7486i | 0.456571 | + | 0.692292i | ||||
\(289\) | 11.8084i | 0.694611i | ||||||||
\(290\) | 14.0833 | + | 5.63293i | 0.827001 | + | 0.330777i | ||||
\(291\) | 10.0437 | + | 24.2477i | 0.588773 | + | 1.42142i | ||||
\(292\) | 18.9548 | + | 16.2680i | 1.10924 | + | 0.952012i | ||||
\(293\) | −30.2498 | + | 12.5299i | −1.76721 | + | 0.732002i | −0.771847 | + | 0.635808i | \(0.780667\pi\) |
−0.995363 | + | 0.0961937i | \(0.969333\pi\) | |||||||
\(294\) | 16.8864 | + | 15.6474i | 0.984836 | + | 0.912575i | ||||
\(295\) | −4.07334 | + | 3.86802i | −0.237159 | + | 0.225205i | ||||
\(296\) | −13.9439 | − | 11.0744i | −0.810471 | − | 0.643684i | ||||
\(297\) | − | 6.15907i | − | 0.357386i | ||||||
\(298\) | −0.0995038 | − | 0.0922028i | −0.00576410 | − | 0.00534116i | ||||
\(299\) | 5.27931 | + | 2.18676i | 0.305310 | + | 0.126464i | ||||
\(300\) | −21.8556 | − | 8.43339i | −1.26183 | − | 0.486902i | ||||
\(301\) | −0.344410 | − | 0.831479i | −0.0198515 | − | 0.0479257i | ||||
\(302\) | −29.5480 | + | 13.5787i | −1.70029 | + | 0.781366i | ||||
\(303\) | 30.2688 | + | 30.2688i | 1.73890 | + | 1.73890i | ||||
\(304\) | −18.9517 | + | 11.4884i | −1.08695 | + | 0.658907i | ||||
\(305\) | −10.6755 | − | 0.276015i | −0.611278 | − | 0.0158046i | ||||
\(306\) | −17.7093 | − | 6.55754i | −1.01237 | − | 0.374869i | ||||
\(307\) | −8.57569 | + | 20.7036i | −0.489441 | + | 1.18161i | 0.465562 | + | 0.885015i | \(0.345852\pi\) |
−0.955002 | + | 0.296599i | \(0.904148\pi\) | |||||||
\(308\) | 1.04847 | + | 2.07005i | 0.0597423 | + | 0.117952i | ||||
\(309\) | 7.57804 | − | 18.2950i | 0.431100 | − | 1.04077i | ||||
\(310\) | 21.0066 | + | 20.4995i | 1.19310 | + | 1.16429i | ||||
\(311\) | −1.03362 | − | 1.03362i | −0.0586114 | − | 0.0586114i | 0.677194 | − | 0.735805i | \(-0.263196\pi\) |
−0.735805 | + | 0.677194i | \(0.763196\pi\) | |||||||
\(312\) | −11.4122 | − | 3.26311i | −0.646087 | − | 0.184737i | ||||
\(313\) | 14.1458i | 0.799567i | 0.916610 | + | 0.399783i | \(0.130915\pi\) | ||||
−0.916610 | + | 0.399783i | \(0.869085\pi\) | |||||||
\(314\) | 13.9969 | + | 12.9699i | 0.789891 | + | 0.731933i | ||||
\(315\) | 1.17358 | − | 0.450939i | 0.0661235 | − | 0.0254075i | ||||
\(316\) | −8.37576 | + | 9.75907i | −0.471173 | + | 0.548991i | ||||
\(317\) | −6.35906 | + | 15.3521i | −0.357160 | + | 0.862261i | 0.638536 | + | 0.769592i | \(0.279540\pi\) |
−0.995697 | + | 0.0926699i | \(0.970460\pi\) | |||||||
\(318\) | 5.00882 | − | 13.5268i | 0.280881 | − | 0.758547i | ||||
\(319\) | 24.6245 | 1.37871 | ||||||||
\(320\) | −14.8119 | + | 10.0303i | −0.828011 | + | 0.560712i | ||||
\(321\) | 13.3494 | 0.745092 | ||||||||
\(322\) | −0.354021 | + | 0.956070i | −0.0197288 | + | 0.0532797i | ||||
\(323\) | 11.3801 | − | 27.4740i | 0.633206 | − | 1.52869i | ||||
\(324\) | −13.3826 | + | 15.5928i | −0.743476 | + | 0.866267i | ||||
\(325\) | 8.44114 | − | 2.99545i | 0.468230 | − | 0.166158i | ||||
\(326\) | −1.11999 | − | 1.03781i | −0.0620306 | − | 0.0574791i | ||||
\(327\) | 12.0384i | 0.665726i | ||||||||
\(328\) | 1.07647 | − | 3.76476i | 0.0594379 | − | 0.207874i | ||||
\(329\) | −0.342454 | − | 0.342454i | −0.0188801 | − | 0.0188801i | ||||
\(330\) | −38.0284 | + | 0.464605i | −2.09339 | + | 0.0255757i | ||||
\(331\) | −3.71126 | + | 8.95976i | −0.203989 | + | 0.492473i | −0.992456 | − | 0.122605i | \(-0.960875\pi\) |
0.788467 | + | 0.615078i | \(0.210875\pi\) | |||||||
\(332\) | 2.81417 | + | 5.55616i | 0.154448 | + | 0.304934i | ||||
\(333\) | −5.99381 | + | 14.4703i | −0.328459 | + | 0.792970i | ||||
\(334\) | −12.9630 | − | 4.80004i | −0.709303 | − | 0.262646i | ||||
\(335\) | −19.3824 | − | 20.4113i | −1.05897 | − | 1.11519i | ||||
\(336\) | 0.504277 | − | 2.05678i | 0.0275105 | − | 0.112206i | ||||
\(337\) | −6.70515 | − | 6.70515i | −0.365253 | − | 0.365253i | 0.500490 | − | 0.865742i | \(-0.333153\pi\) |
−0.865742 | + | 0.500490i | \(0.833153\pi\) | |||||||
\(338\) | −12.5816 | + | 5.78184i | −0.684349 | + | 0.314491i | ||||
\(339\) | 7.88989 | + | 19.0479i | 0.428520 | + | 1.03454i | ||||
\(340\) | 8.05951 | − | 22.6100i | 0.437088 | − | 1.22620i | ||||
\(341\) | 44.0233 | + | 18.2351i | 2.38400 | + | 0.987484i | ||||
\(342\) | 14.2986 | + | 13.2495i | 0.773180 | + | 0.716449i | ||||
\(343\) | − | 3.15240i | − | 0.170214i | ||||||
\(344\) | 7.00518 | − | 8.82031i | 0.377694 | − | 0.475559i | ||||
\(345\) | −11.5060 | − | 12.1168i | −0.619465 | − | 0.652347i | ||||
\(346\) | 10.3369 | + | 9.57845i | 0.555716 | + | 0.514941i | ||||
\(347\) | −9.28572 | + | 3.84627i | −0.498483 | + | 0.206479i | −0.617736 | − | 0.786385i | \(-0.711950\pi\) |
0.119253 | + | 0.992864i | \(0.461950\pi\) | |||||||
\(348\) | −17.0534 | − | 14.6362i | −0.914160 | − | 0.784581i | ||||
\(349\) | −11.4998 | − | 27.7630i | −0.615571 | − | 1.48612i | −0.856799 | − | 0.515651i | \(-0.827550\pi\) |
0.241228 | − | 0.970469i | \(-0.422450\pi\) | |||||||
\(350\) | 0.591358 | + | 1.48459i | 0.0316094 | + | 0.0793547i | ||||
\(351\) | − | 2.14914i | − | 0.114712i | ||||||
\(352\) | −16.2794 | + | 24.0492i | −0.867696 | + | 1.28183i | ||||
\(353\) | −11.7316 | − | 11.7316i | −0.624411 | − | 0.624411i | 0.322245 | − | 0.946656i | \(-0.395563\pi\) |
−0.946656 | + | 0.322245i | \(0.895563\pi\) | |||||||
\(354\) | 7.56226 | − | 3.47522i | 0.401930 | − | 0.184706i | ||||
\(355\) | −12.9756 | + | 4.98580i | −0.688675 | + | 0.264619i | ||||
\(356\) | 5.51107 | − | 0.420381i | 0.292086 | − | 0.0222801i | ||||
\(357\) | 1.08743 | + | 2.62529i | 0.0575530 | + | 0.138945i | ||||
\(358\) | −4.81330 | + | 0.183311i | −0.254391 | + | 0.00968831i | ||||
\(359\) | 8.37535 | + | 8.37535i | 0.442034 | + | 0.442034i | 0.892695 | − | 0.450661i | \(-0.148812\pi\) |
−0.450661 | + | 0.892695i | \(0.648812\pi\) | |||||||
\(360\) | 12.0644 | + | 10.1010i | 0.635851 | + | 0.532371i | ||||
\(361\) | −8.27096 | + | 8.27096i | −0.435314 | + | 0.435314i | ||||
\(362\) | 19.2707 | − | 20.7967i | 1.01285 | − | 1.09305i | ||||
\(363\) | −33.2345 | + | 13.7662i | −1.74436 | + | 0.722537i | ||||
\(364\) | 0.365852 | + | 0.722320i | 0.0191759 | + | 0.0378598i | ||||
\(365\) | 25.5163 | + | 11.3505i | 1.33558 | + | 0.594111i | ||||
\(366\) | 14.8376 | + | 5.49419i | 0.775574 | + | 0.287186i | ||||
\(367\) | 0.784600 | − | 0.784600i | 0.0409558 | − | 0.0409558i | −0.686332 | − | 0.727288i | \(-0.740780\pi\) |
0.727288 | + | 0.686332i | \(0.240780\pi\) | |||||||
\(368\) | −12.6119 | + | 1.93532i | −0.657442 | + | 0.100886i | ||||
\(369\) | −3.44418 | −0.179297 | ||||||||
\(370\) | −18.4846 | − | 7.39332i | −0.960968 | − | 0.384361i | ||||
\(371\) | −0.909069 | + | 0.376549i | −0.0471965 | + | 0.0195494i | ||||
\(372\) | −19.6494 | − | 38.7948i | −1.01878 | − | 2.01142i | ||||
\(373\) | −1.69098 | − | 4.08238i | −0.0875556 | − | 0.211378i | 0.874037 | − | 0.485860i | \(-0.161494\pi\) |
−0.961592 | + | 0.274482i | \(0.911494\pi\) | |||||||
\(374\) | −1.48301 | − | 38.9402i | −0.0766847 | − | 2.01355i | ||||
\(375\) | −26.1126 | − | 2.02904i | −1.34845 | − | 0.104779i | ||||
\(376\) | 1.66632 | − | 5.82769i | 0.0859341 | − | 0.300540i | ||||
\(377\) | 8.59243 | 0.442533 | ||||||||
\(378\) | 0.383159 | − | 0.0145924i | 0.0197076 | − | 0.000750550i | ||||
\(379\) | 9.54243 | − | 23.0375i | 0.490162 | − | 1.18335i | −0.464476 | − | 0.885586i | \(-0.653757\pi\) |
0.954638 | − | 0.297769i | \(-0.0962426\pi\) | |||||||
\(380\) | −16.6178 | + | 18.3790i | −0.852474 | + | 0.942823i | ||||
\(381\) | −10.2302 | + | 4.23749i | −0.524110 | + | 0.217093i | ||||
\(382\) | 20.8173 | + | 7.70841i | 1.06511 | + | 0.394397i | ||||
\(383\) | −0.000622782 | 0 | 0.000622782i | −3.18227e−5 | 0 | 3.18227e-5i | −0.707123 | − | 0.707091i | \(-0.750007\pi\) |
0.707091 | + | 0.707123i | \(0.250007\pi\) | |||||||
\(384\) | 25.5684 | − | 6.97896i | 1.30478 | − | 0.356143i | ||||
\(385\) | 1.78644 | + | 1.88126i | 0.0910452 | + | 0.0958781i | ||||
\(386\) | −34.1648 | + | 15.7004i | −1.73894 | + | 0.799127i | ||||
\(387\) | −9.15333 | − | 3.79143i | −0.465290 | − | 0.192729i | ||||
\(388\) | 22.3420 | − | 1.70424i | 1.13424 | − | 0.0865195i | ||||
\(389\) | −22.8377 | − | 9.45969i | −1.15792 | − | 0.479625i | −0.280736 | − | 0.959785i | \(-0.590579\pi\) |
−0.877181 | + | 0.480160i | \(0.840579\pi\) | |||||||
\(390\) | −13.2695 | + | 0.162118i | −0.671929 | + | 0.00820919i | ||||
\(391\) | 12.1065 | − | 12.1065i | 0.612254 | − | 0.612254i | ||||
\(392\) | 17.1831 | − | 9.54162i | 0.867876 | − | 0.481925i | ||||
\(393\) | 6.68581 | 0.337254 | ||||||||
\(394\) | 16.0934 | − | 0.612905i | 0.810771 | − | 0.0308777i | ||||
\(395\) | −5.84391 | + | 13.1373i | −0.294039 | + | 0.661011i | ||||
\(396\) | 24.2751 | + | 7.95214i | 1.21987 | + | 0.399610i | ||||
\(397\) | 2.94650 | + | 1.22048i | 0.147881 | + | 0.0612542i | 0.455396 | − | 0.890289i | \(-0.349498\pi\) |
−0.307516 | + | 0.951543i | \(0.599498\pi\) | |||||||
\(398\) | 16.5162 | − | 7.58998i | 0.827883 | − | 0.380451i | ||||
\(399\) | − | 2.93326i | − | 0.146847i | ||||||
\(400\) | −12.6509 | + | 15.4905i | −0.632544 | + | 0.774525i | ||||
\(401\) | 12.8700i | 0.642697i | 0.946961 | + | 0.321348i | \(0.104136\pi\) | ||||
−0.946961 | + | 0.321348i | \(0.895864\pi\) | |||||||
\(402\) | 17.4141 | + | 37.8941i | 0.868538 | + | 1.88999i | ||||
\(403\) | 15.3614 | + | 6.36291i | 0.765207 | + | 0.316959i | ||||
\(404\) | 32.6025 | − | 16.5130i | 1.62203 | − | 0.821554i | ||||
\(405\) | −9.33726 | + | 20.9905i | −0.463972 | + | 1.04303i | ||||
\(406\) | 0.0583415 | + | 1.53190i | 0.00289544 | + | 0.0760270i | ||||
\(407\) | −32.3201 | −1.60205 | ||||||||
\(408\) | −22.1180 | + | 27.8490i | −1.09500 | + | 1.37873i | ||||
\(409\) | 16.2217 | − | 16.2217i | 0.802112 | − | 0.802112i | −0.181314 | − | 0.983425i | \(-0.558035\pi\) |
0.983425 | + | 0.181314i | \(0.0580349\pi\) | |||||||
\(410\) | −0.0534812 | − | 4.37749i | −0.00264125 | − | 0.216189i | ||||
\(411\) | 30.3307 | + | 12.5634i | 1.49610 | + | 0.619706i | ||||
\(412\) | −12.8291 | − | 11.0106i | −0.632043 | − | 0.542453i | ||||
\(413\) | −0.524513 | − | 0.217260i | −0.0258096 | − | 0.0106907i | ||||
\(414\) | 4.68645 | + | 10.1980i | 0.230327 | + | 0.501203i | ||||
\(415\) | 4.79492 | + | 5.04945i | 0.235373 | + | 0.247868i | ||||
\(416\) | −5.68051 | + | 8.39169i | −0.278510 | + | 0.411436i | ||||
\(417\) | −24.8638 | + | 24.8638i | −1.21759 | + | 1.21759i | ||||
\(418\) | −13.9681 | + | 37.7223i | −0.683203 | + | 1.84506i | ||||
\(419\) | −8.31673 | + | 3.44490i | −0.406299 | + | 0.168294i | −0.576467 | − | 0.817121i | \(-0.695569\pi\) |
0.170168 | + | 0.985415i | \(0.445569\pi\) | |||||||
\(420\) | −0.119002 | − | 2.36466i | −0.00580669 | − | 0.115384i | ||||
\(421\) | 11.3446 | − | 27.3884i | 0.552904 | − | 1.33483i | −0.362384 | − | 0.932029i | \(-0.618037\pi\) |
0.915288 | − | 0.402799i | \(-0.131963\pi\) | |||||||
\(422\) | −0.237273 | − | 6.23021i | −0.0115503 | − | 0.303282i | ||||
\(423\) | −5.33145 | −0.259224 | ||||||||
\(424\) | −9.64338 | − | 7.65887i | −0.468324 | − | 0.371947i | ||||
\(425\) | 1.38680 | − | 26.8009i | 0.0672697 | − | 1.30003i | ||||
\(426\) | 20.5802 | − | 0.783783i | 0.997113 | − | 0.0379744i | ||||
\(427\) | −0.413037 | − | 0.997161i | −0.0199883 | − | 0.0482560i | ||||
\(428\) | 3.54796 | − | 10.8307i | 0.171497 | − | 0.523521i | ||||
\(429\) | −19.9041 | + | 8.24453i | −0.960977 | + | 0.398050i | ||||
\(430\) | 4.67671 | − | 11.6926i | 0.225531 | − | 0.563866i | ||||
\(431\) | 9.99737 | 0.481556 | 0.240778 | − | 0.970580i | \(-0.422597\pi\) | ||||
0.240778 | + | 0.970580i | \(0.422597\pi\) | |||||||
\(432\) | 2.48766 | + | 4.10372i | 0.119688 | + | 0.197440i | ||||
\(433\) | 2.15196 | − | 2.15196i | 0.103416 | − | 0.103416i | −0.653505 | − | 0.756922i | \(-0.726702\pi\) |
0.756922 | + | 0.653505i | \(0.226702\pi\) | |||||||
\(434\) | −1.03011 | + | 2.78192i | −0.0494468 | + | 0.133536i | ||||
\(435\) | −22.9568 | − | 10.2119i | −1.10069 | − | 0.489624i | ||||
\(436\) | 9.76703 | + | 3.19952i | 0.467756 | + | 0.153229i | ||||
\(437\) | −16.3282 | + | 6.76336i | −0.781083 | + | 0.323535i | ||||
\(438\) | −30.3500 | − | 28.1231i | −1.45018 | − | 1.34377i | ||||
\(439\) | 6.06619 | − | 6.06619i | 0.289523 | − | 0.289523i | −0.547368 | − | 0.836892i | \(-0.684370\pi\) |
0.836892 | + | 0.547368i | \(0.184370\pi\) | |||||||
\(440\) | −9.73008 | + | 30.9767i | −0.463863 | + | 1.47676i | ||||
\(441\) | −12.2245 | − | 12.2245i | −0.582119 | − | 0.582119i | ||||
\(442\) | −0.517479 | − | 13.5877i | −0.0246140 | − | 0.646301i | ||||
\(443\) | 1.86429 | + | 4.50080i | 0.0885752 | + | 0.213839i | 0.961959 | − | 0.273192i | \(-0.0880796\pi\) |
−0.873384 | + | 0.487032i | \(0.838080\pi\) | |||||||
\(444\) | 22.3829 | + | 19.2102i | 1.06225 | + | 0.911678i | ||||
\(445\) | 5.76829 | − | 2.21643i | 0.273443 | − | 0.105069i | ||||
\(446\) | −7.82537 | − | 17.0284i | −0.370542 | − | 0.806320i | ||||
\(447\) | 0.158894 | + | 0.158894i | 0.00751545 | + | 0.00751545i | ||||
\(448\) | −1.53468 | − | 0.955772i | −0.0725070 | − | 0.0451560i | ||||
\(449\) | 4.32608i | 0.204160i | 0.994776 | + | 0.102080i | \(0.0325498\pi\) | ||||
−0.994776 | + | 0.102080i | \(0.967450\pi\) | |||||||
\(450\) | 16.1595 | + | 6.95308i | 0.761768 | + | 0.327771i | ||||
\(451\) | −2.71979 | − | 6.56615i | −0.128070 | − | 0.309188i | ||||
\(452\) | 17.5509 | − | 1.33877i | 0.825525 | − | 0.0629705i | ||||
\(453\) | 49.7663 | − | 20.6139i | 2.33822 | − | 0.968524i | ||||
\(454\) | 6.49744 | − | 7.01193i | 0.304940 | − | 0.329086i | ||||
\(455\) | 0.623355 | + | 0.656445i | 0.0292234 | + | 0.0307746i | ||||
\(456\) | 32.0946 | − | 17.8219i | 1.50297 | − | 0.834587i | ||||
\(457\) | 9.38671i | 0.439092i | 0.975602 | + | 0.219546i | \(0.0704576\pi\) | ||||
−0.975602 | + | 0.219546i | \(0.929542\pi\) | |||||||
\(458\) | 11.9786 | − | 12.9271i | 0.559724 | − | 0.604046i | ||||
\(459\) | −5.94911 | − | 2.46420i | −0.277681 | − | 0.115019i | ||||
\(460\) | −12.8887 | + | 6.11475i | −0.600937 | + | 0.285101i | ||||
\(461\) | 3.72064 | + | 8.98242i | 0.173288 | + | 0.418353i | 0.986532 | − | 0.163569i | \(-0.0523007\pi\) |
−0.813244 | + | 0.581922i | \(0.802301\pi\) | |||||||
\(462\) | −1.60502 | − | 3.49262i | −0.0746724 | − | 0.162491i | ||||
\(463\) | 20.1132 | + | 20.1132i | 0.934741 | + | 0.934741i | 0.997997 | − | 0.0632561i | \(-0.0201485\pi\) |
−0.0632561 | + | 0.997997i | \(0.520148\pi\) | |||||||
\(464\) | −16.4070 | + | 9.94588i | −0.761678 | + | 0.461726i | ||||
\(465\) | −33.4796 | − | 35.2568i | −1.55258 | − | 1.63499i | ||||
\(466\) | 4.44357 | − | 12.0003i | 0.205844 | − | 0.555903i | ||||
\(467\) | −5.23762 | + | 12.6447i | −0.242368 | + | 0.585129i | −0.997517 | − | 0.0704247i | \(-0.977565\pi\) |
0.755149 | + | 0.655553i | \(0.227565\pi\) | |||||||
\(468\) | 8.47052 | + | 2.77481i | 0.391550 | + | 0.128265i | ||||
\(469\) | 1.08868 | − | 2.62831i | 0.0502706 | − | 0.121364i | ||||
\(470\) | −0.0827866 | − | 6.77616i | −0.00381866 | − | 0.312561i | ||||
\(471\) | −22.3512 | − | 22.3512i | −1.02989 | − | 1.02989i | ||||
\(472\) | −0.809652 | − | 7.05906i | −0.0372673 | − | 0.324919i | ||||
\(473\) | − | 20.4443i | − | 0.940032i | ||||||
\(474\) | 14.4795 | − | 15.6260i | 0.665064 | − | 0.717727i | ||||
\(475\) | −11.9096 | + | 25.0117i | −0.546452 | + | 1.14761i | ||||
\(476\) | 2.41897 | − | 0.184518i | 0.110873 | − | 0.00845735i | ||||
\(477\) | −4.14523 | + | 10.0075i | −0.189797 | + | 0.458211i | ||||
\(478\) | −16.9835 | − | 6.28879i | −0.776808 | − | 0.287643i | ||||
\(479\) | −15.1151 | −0.690626 | −0.345313 | − | 0.938488i | \(-0.612227\pi\) | ||||
−0.345313 | + | 0.938488i | \(0.612227\pi\) | |||||||
\(480\) | 25.1502 | − | 15.6693i | 1.14795 | − | 0.715202i | ||||
\(481\) | −11.2777 | −0.514219 | ||||||||
\(482\) | −27.6514 | − | 10.2390i | −1.25949 | − | 0.466373i | ||||
\(483\) | 0.646276 | − | 1.56025i | 0.0294066 | − | 0.0709938i | ||||
\(484\) | 2.33587 | + | 30.6226i | 0.106176 | + | 1.39194i | ||||
\(485\) | 23.3848 | − | 8.98547i | 1.06185 | − | 0.408009i | ||||
\(486\) | 19.6754 | − | 21.2334i | 0.892493 | − | 0.963165i | ||||
\(487\) | − | 17.9115i | − | 0.811646i | −0.913952 | − | 0.405823i | \(-0.866985\pi\) | ||
0.913952 | − | 0.405823i | \(-0.133015\pi\) | |||||||
\(488\) | 8.40103 | − | 10.5779i | 0.380297 | − | 0.478837i | ||||
\(489\) | 1.78848 | + | 1.78848i | 0.0808778 | + | 0.0808778i | ||||
\(490\) | 15.3473 | − | 15.7269i | 0.693320 | − | 0.710470i | ||||
\(491\) | 9.45122 | − | 22.8173i | 0.426528 | − | 1.02973i | −0.553853 | − | 0.832615i | \(-0.686843\pi\) |
0.980380 | − | 0.197114i | \(-0.0631571\pi\) | |||||||
\(492\) | −2.01919 | + | 6.16389i | −0.0910321 | + | 0.277889i | ||||
\(493\) | 9.85210 | − | 23.7851i | 0.443716 | − | 1.07123i | ||||
\(494\) | −4.87401 | + | 13.1628i | −0.219292 | + | 0.592220i | ||||
\(495\) | 28.5500 | + | 0.738161i | 1.28323 | + | 0.0331779i | ||||
\(496\) | −36.6974 | + | 5.63128i | −1.64776 | + | 0.252852i | ||||
\(497\) | −0.993420 | − | 0.993420i | −0.0445610 | − | 0.0445610i | ||||
\(498\) | −4.30799 | − | 9.37443i | −0.193046 | − | 0.420078i | ||||
\(499\) | −5.52575 | − | 13.3403i | −0.247367 | − | 0.597196i | 0.750612 | − | 0.660743i | \(-0.229759\pi\) |
−0.997979 | + | 0.0635470i | \(0.979759\pi\) | |||||||
\(500\) | −8.58630 | + | 20.6464i | −0.383991 | + | 0.923337i | ||||
\(501\) | 21.1548 | + | 8.76262i | 0.945128 | + | 0.391485i | ||||
\(502\) | −20.4855 | + | 22.1077i | −0.914314 | + | 0.986714i | ||||
\(503\) | 1.71272i | 0.0763665i | 0.999271 | + | 0.0381832i | \(0.0121571\pi\) | ||||
−0.999271 | + | 0.0381832i | \(0.987843\pi\) | |||||||
\(504\) | −0.437193 | + | 1.52901i | −0.0194741 | + | 0.0681074i | ||||
\(505\) | 29.6292 | − | 28.1357i | 1.31848 | − | 1.25202i | ||||
\(506\) | −15.7411 | + | 16.9876i | −0.699778 | + | 0.755190i | ||||
\(507\) | 21.1906 | − | 8.77744i | 0.941108 | − | 0.389820i | ||||
\(508\) | 0.719026 | + | 9.42622i | 0.0319016 | + | 0.418221i | ||||
\(509\) | 10.6756 | + | 25.7732i | 0.473188 | + | 1.14238i | 0.962746 | + | 0.270406i | \(0.0871579\pi\) |
−0.489559 | + | 0.871970i | \(0.662842\pi\) | |||||||
\(510\) | −14.7661 | + | 36.9179i | −0.653855 | + | 1.63475i | ||||
\(511\) | 2.82253i | 0.124862i | ||||||||
\(512\) | 1.13328 | − | 22.5990i | 0.0500845 | − | 0.998745i | ||||
\(513\) | 4.70013 | + | 4.70013i | 0.207516 | + | 0.207516i | ||||
\(514\) | 7.39858 | + | 16.0997i | 0.326337 | + | 0.710128i | ||||
\(515\) | −17.2701 | − | 7.68229i | −0.761010 | − | 0.338522i | ||||
\(516\) | −12.1516 | + | 14.1585i | −0.534944 | + | 0.623294i | ||||
\(517\) | −4.21011 | − | 10.1641i | −0.185161 | − | 0.447017i | ||||
\(518\) | −0.0765742 | − | 2.01065i | −0.00336448 | − | 0.0883428i | ||||
\(519\) | −16.5067 | − | 16.5067i | −0.724563 | − | 0.724563i | ||||
\(520\) | −3.39519 | + | 10.8090i | −0.148889 | + | 0.474004i | ||||
\(521\) | 7.24365 | − | 7.24365i | 0.317350 | − | 0.317350i | −0.530398 | − | 0.847748i | \(-0.677958\pi\) |
0.847748 | + | 0.530398i | \(0.177958\pi\) | |||||||
\(522\) | 12.3787 | + | 11.4705i | 0.541802 | + | 0.502048i | ||||
\(523\) | 0.321984 | − | 0.133370i | 0.0140794 | − | 0.00583187i | −0.375633 | − | 0.926769i | \(-0.622575\pi\) |
0.389712 | + | 0.920937i | \(0.372575\pi\) | |||||||
\(524\) | 1.77693 | − | 5.42434i | 0.0776254 | − | 0.236963i | ||||
\(525\) | −0.885276 | − | 2.49470i | −0.0386366 | − | 0.108878i | ||||
\(526\) | −8.84049 | + | 23.8747i | −0.385464 | + | 1.04098i | ||||
\(527\) | 35.2269 | − | 35.2269i | 1.53451 | − | 1.53451i | ||||
\(528\) | 28.4631 | − | 38.7820i | 1.23870 | − | 1.68777i | ||||
\(529\) | 12.8246 | 0.557592 | ||||||||
\(530\) | −12.7837 | − | 5.11311i | −0.555287 | − | 0.222100i | ||||
\(531\) | −5.77409 | + | 2.39171i | −0.250574 | + | 0.103791i | ||||
\(532\) | −2.37982 | − | 0.779590i | −0.103178 | − | 0.0337995i | ||||
\(533\) | −0.949037 | − | 2.29118i | −0.0411074 | − | 0.0992420i | ||||
\(534\) | −9.14888 | + | 0.348429i | −0.395911 | + | 0.0150780i | ||||
\(535\) | 0.329340 | − | 12.7380i | 0.0142386 | − | 0.550711i | ||||
\(536\) | 35.3726 | − | 4.05712i | 1.52786 | − | 0.175241i | ||||
\(537\) | 7.97893 | 0.344316 | ||||||||
\(538\) | 1.02748 | + | 26.9790i | 0.0442978 | + | 1.16315i | ||||
\(539\) | 13.6520 | − | 32.9588i | 0.588032 | − | 1.41963i | ||||
\(540\) | 3.97972 | + | 3.59835i | 0.171260 | + | 0.154848i | ||||
\(541\) | −28.3090 | + | 11.7260i | −1.21710 | + | 0.504138i | −0.896486 | − | 0.443072i | \(-0.853889\pi\) |
−0.320612 | + | 0.947211i | \(0.603889\pi\) | |||||||
\(542\) | 8.60183 | − | 23.2301i | 0.369480 | − | 0.997819i | ||||
\(543\) | −33.2096 | + | 33.2096i | −1.42516 | + | 1.42516i | ||||
\(544\) | 16.7161 | + | 25.3464i | 0.716697 | + | 1.08672i | ||||
\(545\) | 11.4870 | + | 0.296997i | 0.492050 | + | 0.0127219i | ||||
\(546\) | −0.560054 | − | 1.21871i | −0.0239681 | − | 0.0521559i | ||||
\(547\) | −41.1640 | − | 17.0507i | −1.76005 | − | 0.729035i | −0.996529 | − | 0.0832461i | \(-0.973471\pi\) |
−0.763516 | − | 0.645789i | \(-0.776529\pi\) | |||||||
\(548\) | 18.2541 | − | 21.2689i | 0.779777 | − | 0.908562i | ||||
\(549\) | −10.9772 | − | 4.54692i | −0.468497 | − | 0.194058i | ||||
\(550\) | −0.494863 | + | 36.2980i | −0.0211010 | + | 1.54775i | ||||
\(551\) | −18.7915 | + | 18.7915i | −0.800546 | + | 0.800546i | ||||
\(552\) | 20.9983 | − | 2.40844i | 0.893748 | − | 0.102510i | ||||
\(553\) | −1.45321 | −0.0617969 | ||||||||
\(554\) | 0.802828 | + | 21.0803i | 0.0341089 | + | 0.895615i | ||||
\(555\) | 30.1312 | + | 13.4033i | 1.27900 | + | 0.568939i | ||||
\(556\) | 13.5643 | + | 26.7807i | 0.575256 | + | 1.13576i | ||||
\(557\) | 10.8441 | + | 4.49179i | 0.459481 | + | 0.190323i | 0.600403 | − | 0.799697i | \(-0.295007\pi\) |
−0.140922 | + | 0.990021i | \(0.545007\pi\) | |||||||
\(558\) | 13.6364 | + | 29.6735i | 0.577273 | + | 1.25618i | ||||
\(559\) | − | 7.13381i | − | 0.301728i | ||||||
\(560\) | −1.95013 | − | 0.531921i | −0.0824080 | − | 0.0224778i | ||||
\(561\) | 64.5505i | 2.72532i | ||||||||
\(562\) | 3.41668 | − | 1.57013i | 0.144124 | − | 0.0662317i | ||||
\(563\) | 20.4133 | + | 8.45547i | 0.860319 | + | 0.356356i | 0.768832 | − | 0.639451i | \(-0.220838\pi\) |
0.0914866 | + | 0.995806i | \(0.470838\pi\) | |||||||
\(564\) | −3.12562 | + | 9.54143i | −0.131612 | + | 0.401767i | ||||
\(565\) | 18.3701 | − | 7.05858i | 0.772835 | − | 0.296957i | ||||
\(566\) | 12.7726 | − | 0.486436i | 0.536872 | − | 0.0204464i | ||||
\(567\) | −2.32191 | −0.0975109 | ||||||||
\(568\) | 4.83381 | − | 16.9055i | 0.202822 | − | 0.709337i | ||||
\(569\) | −25.9882 | + | 25.9882i | −1.08948 | + | 1.08948i | −0.0938997 | + | 0.995582i | \(0.529933\pi\) |
−0.995582 | + | 0.0938997i | \(0.970067\pi\) | |||||||
\(570\) | 28.6658 | − | 29.3749i | 1.20068 | − | 1.23038i | ||||
\(571\) | −12.1001 | − | 5.01202i | −0.506373 | − | 0.209747i | 0.114846 | − | 0.993383i | \(-0.463362\pi\) |
−0.621219 | + | 0.783637i | \(0.713362\pi\) | |||||||
\(572\) | 1.39895 | + | 18.3398i | 0.0584929 | + | 0.766825i | ||||
\(573\) | −33.9727 | − | 14.0719i | −1.41923 | − | 0.587864i | ||||
\(574\) | 0.402039 | − | 0.184756i | 0.0167808 | − | 0.00771157i | ||||
\(575\) | −11.8457 | + | 10.6801i | −0.493999 | + | 0.445391i | ||||
\(576\) | −19.3861 | + | 4.50634i | −0.807756 | + | 0.187764i | ||||
\(577\) | 2.71209 | − | 2.71209i | 0.112906 | − | 0.112906i | −0.648397 | − | 0.761303i | \(-0.724560\pi\) |
0.761303 | + | 0.648397i | \(0.224560\pi\) | |||||||
\(578\) | −15.6604 | − | 5.79887i | −0.651388 | − | 0.241201i | ||||
\(579\) | 57.5423 | − | 23.8348i | 2.39137 | − | 0.990540i | ||||
\(580\) | −14.3865 | + | 15.9112i | −0.597367 | + | 0.660678i | ||||
\(581\) | −0.269323 | + | 0.650203i | −0.0111734 | + | 0.0269750i | ||||
\(582\) | −37.0898 | + | 1.41254i | −1.53742 | + | 0.0585518i | ||||
\(583\) | −22.3521 | −0.925730 | ||||||||
\(584\) | −30.8831 | + | 17.1491i | −1.27795 | + | 0.709637i | ||||
\(585\) | 9.96219 | + | 0.257572i | 0.411886 | + | 0.0106493i | ||||
\(586\) | −1.76219 | − | 46.2708i | −0.0727955 | − | 1.91143i | ||||
\(587\) | 6.48324 | + | 15.6519i | 0.267592 | + | 0.646024i | 0.999369 | − | 0.0355198i | \(-0.0113087\pi\) |
−0.731777 | + | 0.681544i | \(0.761309\pi\) | |||||||
\(588\) | −29.0444 | + | 14.7109i | −1.19777 | + | 0.606666i | ||||
\(589\) | −47.5108 | + | 19.6796i | −1.95765 | + | 0.810885i | ||||
\(590\) | −3.12947 | − | 7.30162i | −0.128838 | − | 0.300603i | ||||
\(591\) | −26.6777 | −1.09737 | ||||||||
\(592\) | 21.5345 | − | 13.0541i | 0.885063 | − | 0.536522i | ||||
\(593\) | 1.93032 | − | 1.93032i | 0.0792688 | − | 0.0792688i | −0.666361 | − | 0.745630i | \(-0.732149\pi\) |
0.745630 | + | 0.666361i | \(0.232149\pi\) | |||||||
\(594\) | 8.16824 | + | 3.02460i | 0.335147 | + | 0.124101i | ||||
\(595\) | 2.53187 | − | 0.972856i | 0.103797 | − | 0.0398832i | ||||
\(596\) | 0.171145 | − | 0.0866842i | 0.00701037 | − | 0.00355072i | ||||
\(597\) | −27.8175 | + | 11.5224i | −1.13849 | + | 0.471580i | ||||
\(598\) | −5.49268 | + | 5.92761i | −0.224612 | + | 0.242398i | ||||
\(599\) | −9.26550 | + | 9.26550i | −0.378578 | + | 0.378578i | −0.870589 | − | 0.492011i | \(-0.836262\pi\) |
0.492011 | + | 0.870589i | \(0.336262\pi\) | |||||||
\(600\) | 21.9173 | − | 24.8436i | 0.894770 | − | 1.01424i | ||||
\(601\) | −11.9564 | − | 11.9564i | −0.487712 | − | 0.487712i | 0.419872 | − | 0.907583i | \(-0.362075\pi\) |
−0.907583 | + | 0.419872i | \(0.862075\pi\) | |||||||
\(602\) | 1.27185 | − | 0.0484377i | 0.0518368 | − | 0.00197417i | ||||
\(603\) | −11.9847 | − | 28.9337i | −0.488056 | − | 1.17827i | ||||
\(604\) | −3.49780 | − | 45.8551i | −0.142323 | − | 1.86582i | ||||
\(605\) | 12.3157 | + | 32.0519i | 0.500705 | + | 1.30309i | ||||
\(606\) | −55.0073 | + | 25.2785i | −2.23452 | + | 1.02687i | ||||
\(607\) | 22.4853 | + | 22.4853i | 0.912650 | + | 0.912650i | 0.996480 | − | 0.0838297i | \(-0.0267152\pi\) |
−0.0838297 | + | 0.996480i | \(0.526715\pi\) | |||||||
\(608\) | −5.92931 | − | 30.7757i | −0.240465 | − | 1.24812i | ||||
\(609\) | − | 2.53941i | − | 0.102902i | ||||||
\(610\) | 5.60859 | − | 14.0224i | 0.227085 | − | 0.567752i | ||||
\(611\) | −1.46907 | − | 3.54665i | −0.0594322 | − | 0.143482i | ||||
\(612\) | 17.3934 | − | 20.2660i | 0.703086 | − | 0.819205i | ||||
\(613\) | 0.832105 | − | 0.344669i | 0.0336084 | − | 0.0139211i | −0.365816 | − | 0.930687i | \(-0.619210\pi\) |
0.399424 | + | 0.916766i | \(0.369210\pi\) | |||||||
\(614\) | −23.2460 | − | 21.5403i | −0.938130 | − | 0.869296i | ||||
\(615\) | −0.187432 | + | 7.24936i | −0.00755799 | + | 0.292322i | ||||
\(616\) | −3.26021 | + | 0.373936i | −0.131358 | + | 0.0150663i | ||||
\(617\) | 12.1886i | 0.490695i | 0.969435 | + | 0.245348i | \(0.0789021\pi\) | ||||
−0.969435 | + | 0.245348i | \(0.921098\pi\) | |||||||
\(618\) | 20.5416 | + | 19.0344i | 0.826306 | + | 0.765676i | ||||
\(619\) | −17.6375 | − | 7.30569i | −0.708911 | − | 0.293640i | −0.00105705 | − | 0.999999i | \(-0.500336\pi\) |
−0.707854 | + | 0.706359i | \(0.750336\pi\) | |||||||
\(620\) | −37.5027 | + | 17.7923i | −1.50614 | + | 0.714557i | ||||
\(621\) | 1.46451 | + | 3.53564i | 0.0587688 | + | 0.141880i | ||||
\(622\) | 1.87840 | − | 0.863212i | 0.0753169 | − | 0.0346117i | ||||
\(623\) | 0.441623 | + | 0.441623i | 0.0176933 | + | 0.0176933i | ||||
\(624\) | 9.93187 | − | 13.5325i | 0.397593 | − | 0.541734i | ||||
\(625\) | −2.58032 | + | 24.8665i | −0.103213 | + | 0.994659i | ||||
\(626\) | −18.7603 | − | 6.94672i | −0.749813 | − | 0.277647i | ||||
\(627\) | 25.4992 | − | 61.5606i | 1.01834 | − | 2.45849i | ||||
\(628\) | −24.0744 | + | 12.1936i | −0.960674 | + | 0.486578i | ||||
\(629\) | −12.9311 | + | 31.2183i | −0.515595 | + | 1.24476i | ||||
\(630\) | 0.0217207 | + | 1.77786i | 0.000865373 | + | 0.0708316i | ||||
\(631\) | 7.10131 | + | 7.10131i | 0.282699 | + | 0.282699i | 0.834184 | − | 0.551486i | \(-0.185939\pi\) |
−0.551486 | + | 0.834184i | \(0.685939\pi\) | |||||||
\(632\) | −8.82943 | − | 15.9005i | −0.351216 | − | 0.632489i | ||||
\(633\) | 10.3277i | 0.410490i | ||||||||
\(634\) | −17.2374 | − | 15.9726i | −0.684584 | − | 0.634353i | ||||
\(635\) | 3.79102 | + | 9.86618i | 0.150442 | + | 0.391527i | ||||
\(636\) | 15.4797 | + | 13.2855i | 0.613811 | + | 0.526805i | ||||
\(637\) | 4.76369 | − | 11.5006i | 0.188744 | − | 0.455669i | ||||
\(638\) | −12.0926 | + | 32.6573i | −0.478751 | + | 1.29292i | ||||
\(639\) | −15.4659 | −0.611822 | ||||||||
\(640\) | −6.02850 | − | 24.5694i | −0.238298 | − | 0.971192i | ||||
\(641\) | 21.1329 | 0.834698 | 0.417349 | − | 0.908746i | \(-0.362959\pi\) | ||||
0.417349 | + | 0.908746i | \(0.362959\pi\) | |||||||
\(642\) | −6.55564 | + | 17.7042i | −0.258731 | + | 0.698728i | ||||
\(643\) | 16.8361 | − | 40.6459i | 0.663951 | − | 1.60292i | −0.127606 | − | 0.991825i | \(-0.540729\pi\) |
0.791558 | − | 0.611095i | \(-0.209271\pi\) | |||||||
\(644\) | −1.09410 | − | 0.939014i | −0.0431135 | − | 0.0370024i | ||||
\(645\) | −8.47838 | + | 19.0597i | −0.333836 | + | 0.750475i | ||||
\(646\) | 30.8478 | + | 28.5844i | 1.21369 | + | 1.12464i | ||||
\(647\) | − | 1.66555i | − | 0.0654796i | −0.999464 | − | 0.0327398i | \(-0.989577\pi\) | ||
0.999464 | − | 0.0327398i | \(-0.0104233\pi\) | |||||||
\(648\) | −14.1074 | − | 25.4055i | −0.554193 | − | 0.998021i | ||||
\(649\) | −9.11932 | − | 9.11932i | −0.357965 | − | 0.357965i | ||||
\(650\) | −0.172677 | + | 12.6657i | −0.00677294 | + | 0.496792i | ||||
\(651\) | 1.88050 | − | 4.53992i | 0.0737025 | − | 0.177933i | ||||
\(652\) | 1.92637 | − | 0.975697i | 0.0754423 | − | 0.0382112i | ||||
\(653\) | −1.96502 | + | 4.74398i | −0.0768973 | + | 0.185646i | −0.957653 | − | 0.287924i | \(-0.907035\pi\) |
0.880756 | + | 0.473570i | \(0.157035\pi\) | |||||||
\(654\) | −15.9655 | − | 5.91183i | −0.624301 | − | 0.231171i | ||||
\(655\) | 0.164944 | − | 6.37957i | 0.00644489 | − | 0.249271i | ||||
\(656\) | 4.46424 | + | 3.27642i | 0.174299 | + | 0.127923i | ||||
\(657\) | 21.9711 | + | 21.9711i | 0.857174 | + | 0.857174i | ||||
\(658\) | 0.622339 | − | 0.285994i | 0.0242613 | − | 0.0111492i | ||||
\(659\) | 13.6425 | + | 32.9360i | 0.531438 | + | 1.28301i | 0.930571 | + | 0.366112i | \(0.119311\pi\) |
−0.399133 | + | 0.916893i | \(0.630689\pi\) | |||||||
\(660\) | 18.0588 | − | 50.6619i | 0.702939 | − | 1.97201i | ||||
\(661\) | 21.7688 | + | 9.01693i | 0.846708 | + | 0.350718i | 0.763495 | − | 0.645814i | \(-0.223482\pi\) |
0.0832131 | + | 0.996532i | \(0.473482\pi\) | |||||||
\(662\) | −10.0600 | − | 9.32188i | −0.390994 | − | 0.362305i | ||||
\(663\) | 22.5241i | 0.874764i | ||||||||
\(664\) | −8.75064 | + | 1.00367i | −0.339591 | + | 0.0389500i | ||||
\(665\) | −2.79891 | − | 0.0723657i | −0.108537 | − | 0.00280622i | ||||
\(666\) | −16.2473 | − | 15.0552i | −0.629570 | − | 0.583376i | ||||
\(667\) | −14.1358 | + | 5.85524i | −0.547340 | + | 0.226716i | ||||
\(668\) | 12.7317 | − | 14.8345i | 0.492606 | − | 0.573963i | ||||
\(669\) | 11.8797 | + | 28.6802i | 0.459297 | + | 1.10884i | ||||
\(670\) | 36.5880 | − | 15.6816i | 1.41352 | − | 0.605834i | ||||
\(671\) | − | 24.5181i | − | 0.946510i | ||||||
\(672\) | 2.48008 | + | 1.67882i | 0.0956713 | + | 0.0647619i | ||||
\(673\) | −7.17005 | − | 7.17005i | −0.276385 | − | 0.276385i | 0.555279 | − | 0.831664i | \(-0.312611\pi\) |
−0.831664 | + | 0.555279i | \(0.812611\pi\) | |||||||
\(674\) | 12.1852 | − | 5.59968i | 0.469357 | − | 0.215692i | ||||
\(675\) | 5.41593 | + | 2.57887i | 0.208459 | + | 0.0992607i | ||||
\(676\) | −1.48937 | − | 19.5252i | −0.0572836 | − | 0.750971i | ||||
\(677\) | 12.1678 | + | 29.3756i | 0.467645 | + | 1.12899i | 0.965188 | + | 0.261556i | \(0.0842355\pi\) |
−0.497543 | + | 0.867439i | \(0.665764\pi\) | |||||||
\(678\) | −29.1361 | + | 1.10963i | −1.11897 | + | 0.0426151i | ||||
\(679\) | 1.79035 | + | 1.79035i | 0.0687074 | + | 0.0687074i | ||||
\(680\) | 26.0278 | + | 21.7920i | 0.998120 | + | 0.835683i | ||||
\(681\) | −11.1971 | + | 11.1971i | −0.429075 | + | 0.429075i | ||||
\(682\) | −45.8026 | + | 49.4294i | −1.75387 | + | 1.89275i | ||||
\(683\) | −23.1098 | + | 9.57239i | −0.884271 | + | 0.366277i | −0.778152 | − | 0.628076i | \(-0.783843\pi\) |
−0.106119 | + | 0.994353i | \(0.533843\pi\) | |||||||
\(684\) | −24.5934 | + | 12.4564i | −0.940351 | + | 0.476284i | ||||
\(685\) | 12.7362 | − | 28.6315i | 0.486626 | − | 1.09395i | ||||
\(686\) | 4.18076 | + | 1.54808i | 0.159622 | + | 0.0591061i | ||||
\(687\) | −20.6429 | + | 20.6429i | −0.787578 | + | 0.787578i | ||||
\(688\) | 8.25750 | + | 13.6218i | 0.314814 | + | 0.519328i | ||||
\(689\) | −7.79950 | −0.297137 | ||||||||
\(690\) | 21.7199 | − | 9.30913i | 0.826861 | − | 0.354393i | ||||
\(691\) | 1.74113 | − | 0.721198i | 0.0662355 | − | 0.0274357i | −0.349320 | − | 0.937004i | \(-0.613587\pi\) |
0.415555 | + | 0.909568i | \(0.363587\pi\) | |||||||
\(692\) | −17.7793 | + | 9.00516i | −0.675868 | + | 0.342325i | ||||
\(693\) | 1.10461 | + | 2.66675i | 0.0419605 | + | 0.101302i | ||||
\(694\) | −0.540937 | − | 14.2037i | −0.0205337 | − | 0.539164i | ||||
\(695\) | 23.1115 | + | 24.3383i | 0.876670 | + | 0.923206i | ||||
\(696\) | 27.7853 | − | 15.4289i | 1.05320 | − | 0.584833i | ||||
\(697\) | −7.43048 | −0.281449 | ||||||||
\(698\) | 42.4670 | − | 1.61733i | 1.60740 | − | 0.0612168i | ||||
\(699\) | −8.11187 | + | 19.5838i | −0.306819 | + | 0.740727i | ||||
\(700\) | −2.25929 | + | 0.0552132i | −0.0853930 | + | 0.00208686i | ||||
\(701\) | −18.4621 | + | 7.64724i | −0.697303 | + | 0.288832i | −0.703039 | − | 0.711151i | \(-0.748174\pi\) |
0.00573619 | + | 0.999984i | \(0.498174\pi\) | |||||||
\(702\) | 2.85021 | + | 1.05540i | 0.107574 | + | 0.0398334i | ||||
\(703\) | 24.6642 | − | 24.6642i | 0.930228 | − | 0.930228i | ||||
\(704\) | −23.8999 | − | 33.4001i | −0.900760 | − | 1.25881i | ||||
\(705\) | −0.290137 | + | 11.2217i | −0.0109272 | + | 0.422633i | ||||
\(706\) | 21.3198 | − | 9.79746i | 0.802381 | − | 0.368732i | ||||
\(707\) | 3.81527 | + | 1.58034i | 0.143488 | + | 0.0594346i | ||||
\(708\) | 0.895198 | + | 11.7358i | 0.0336436 | + | 0.441058i | ||||
\(709\) | 27.8422 | + | 11.5326i | 1.04564 | + | 0.433117i | 0.838332 | − | 0.545160i | \(-0.183531\pi\) |
0.207304 | + | 0.978276i | \(0.433531\pi\) | |||||||
\(710\) | −0.240154 | − | 19.6569i | −0.00901284 | − | 0.737709i | ||||
\(711\) | −11.3121 | + | 11.3121i | −0.424236 | + | 0.424236i | ||||
\(712\) | −2.14886 | + | 7.51529i | −0.0805321 | + | 0.281647i | ||||
\(713\) | −29.6077 | −1.10882 | ||||||||
\(714\) | −4.01571 | + | 0.152936i | −0.150284 | + | 0.00572348i | ||||
\(715\) | 7.37585 | + | 19.1958i | 0.275841 | + | 0.717881i | ||||
\(716\) | 2.12061 | − | 6.47348i | 0.0792508 | − | 0.241925i | ||||
\(717\) | 27.7161 | + | 11.4804i | 1.03508 | + | 0.428743i | ||||
\(718\) | −15.2205 | + | 6.99452i | −0.568023 | + | 0.261033i | ||||
\(719\) | 7.68642i | 0.286655i | 0.989675 | + | 0.143328i | \(0.0457803\pi\) | ||||
−0.989675 | + | 0.143328i | \(0.954220\pi\) | |||||||
\(720\) | −19.3207 | + | 11.0396i | −0.720040 | + | 0.411421i | ||||
\(721\) | − | 1.91036i | − | 0.0711457i | ||||||
\(722\) | −6.90735 | − | 15.0308i | −0.257065 | − | 0.559387i | ||||
\(723\) | 45.1254 | + | 18.6916i | 1.67823 | + | 0.695147i | ||||
\(724\) | 18.1173 | + | 35.7699i | 0.673325 | + | 1.32938i | ||||
\(725\) | −10.3105 | + | 21.6533i | −0.382924 | + | 0.804185i | ||||
\(726\) | −1.93607 | − | 50.8363i | −0.0718543 | − | 1.88671i | ||||
\(727\) | 10.8016 | 0.400609 | 0.200305 | − | 0.979734i | \(-0.435807\pi\) | ||||
0.200305 | + | 0.979734i | \(0.435807\pi\) | |||||||
\(728\) | −1.13761 | + | 0.130481i | −0.0421627 | + | 0.00483593i | ||||
\(729\) | −12.1122 | + | 12.1122i | −0.448601 | + | 0.448601i | ||||
\(730\) | −27.5837 | + | 28.2660i | −1.02092 | + | 1.04617i | ||||
\(731\) | −19.7474 | − | 8.17964i | −0.730384 | − | 0.302535i | ||||
\(732\) | −14.5729 | + | 16.9797i | −0.538631 | + | 0.627589i | ||||
\(733\) | 23.9972 | + | 9.93995i | 0.886356 | + | 0.367141i | 0.778958 | − | 0.627076i | \(-0.215748\pi\) |
0.107397 | + | 0.994216i | \(0.465748\pi\) | |||||||
\(734\) | 0.655245 | + | 1.42585i | 0.0241855 | + | 0.0526290i | ||||
\(735\) | −26.3955 | + | 25.0650i | −0.973614 | + | 0.924538i | ||||
\(736\) | 3.62683 | − | 17.6765i | 0.133687 | − | 0.651564i | ||||
\(737\) | 45.6965 | − | 45.6965i | 1.68325 | − | 1.68325i | ||||
\(738\) | 1.69137 | − | 4.56772i | 0.0622602 | − | 0.168140i | ||||
\(739\) | 38.1825 | − | 15.8157i | 1.40457 | − | 0.581791i | 0.453634 | − | 0.891188i | \(-0.350127\pi\) |
0.950933 | + | 0.309397i | \(0.100127\pi\) | |||||||
\(740\) | 18.8825 | − | 20.8838i | 0.694136 | − | 0.767703i | ||||
\(741\) | 8.89765 | − | 21.4808i | 0.326863 | − | 0.789118i | ||||
\(742\) | −0.0529576 | − | 1.39053i | −0.00194414 | − | 0.0510481i | ||||
\(743\) | −34.2134 | −1.25517 | −0.627585 | − | 0.778548i | \(-0.715956\pi\) | ||||
−0.627585 | + | 0.778548i | \(0.715956\pi\) | |||||||
\(744\) | 61.0997 | − | 7.00794i | 2.24002 | − | 0.256924i | ||||
\(745\) | 0.155537 | − | 0.147696i | 0.00569842 | − | 0.00541118i | ||||
\(746\) | 6.24452 | − | 0.237818i | 0.228628 | − | 0.00870715i | ||||
\(747\) | 2.96484 | + | 7.15775i | 0.108478 | + | 0.261889i | ||||
\(748\) | 52.3712 | + | 17.1560i | 1.91488 | + | 0.627284i | ||||
\(749\) | 1.18981 | − | 0.492835i | 0.0434746 | − | 0.0180078i | ||||
\(750\) | 15.5143 | − | 33.6344i | 0.566503 | − | 1.22816i | ||||
\(751\) | 32.5152 | 1.18649 | 0.593247 | − | 0.805020i | \(-0.297846\pi\) | ||||
0.593247 | + | 0.805020i | \(0.297846\pi\) | |||||||
\(752\) | 6.91046 | + | 5.07176i | 0.251998 | + | 0.184948i | ||||
\(753\) | 35.3031 | − | 35.3031i | 1.28651 | − | 1.28651i | ||||
\(754\) | −4.21957 | + | 11.3954i | −0.153668 | + | 0.414996i | ||||
\(755\) | −18.4419 | − | 47.9953i | −0.671170 | − | 1.74673i | ||||
\(756\) | −0.168809 | + | 0.515316i | −0.00613953 | + | 0.0187419i | ||||
\(757\) | 19.1945 | − | 7.95060i | 0.697634 | − | 0.288970i | −0.00554250 | − | 0.999985i | \(-0.501764\pi\) |
0.703177 | + | 0.711015i | \(0.251764\pi\) | |||||||
\(758\) | 25.8665 | + | 23.9685i | 0.939513 | + | 0.870576i | ||||
\(759\) | 27.1269 | − | 27.1269i | 0.984645 | − | 0.984645i | ||||
\(760\) | −16.2138 | − | 31.0643i | −0.588136 | − | 1.12682i | ||||
\(761\) | −29.8760 | − | 29.8760i | −1.08300 | − | 1.08300i | −0.996228 | − | 0.0867769i | \(-0.972343\pi\) |
−0.0867769 | − | 0.996228i | \(-0.527657\pi\) | |||||||
\(762\) | −0.595959 | − | 15.6484i | −0.0215893 | − | 0.566882i | ||||
\(763\) | 0.444435 | + | 1.07296i | 0.0160896 | + | 0.0388438i | ||||
\(764\) | −20.4460 | + | 23.8228i | −0.739710 | + | 0.861878i | ||||
\(765\) | 12.1357 | − | 27.2814i | 0.438766 | − | 0.986362i | ||||
\(766\) | −0.000520105 | − | 0.00113178i | −1.87922e−5 | − | 4.08928e-5i | ||||
\(767\) | −3.18208 | − | 3.18208i | −0.114898 | − | 0.114898i | ||||
\(768\) | −3.30055 | + | 37.3363i | −0.119099 | + | 1.34726i | ||||
\(769\) | − | 6.05628i | − | 0.218395i | −0.994020 | − | 0.109197i | \(-0.965172\pi\) | ||
0.994020 | − | 0.109197i | \(-0.0348281\pi\) | |||||||
\(770\) | −3.37224 | + | 1.44534i | −0.121527 | + | 0.0520865i | ||||
\(771\) | −11.2318 | − | 27.1160i | −0.404504 | − | 0.976559i | ||||
\(772\) | −4.04433 | − | 53.0200i | −0.145559 | − | 1.90823i | ||||
\(773\) | −1.97420 | + | 0.817739i | −0.0710069 | + | 0.0294120i | −0.417904 | − | 0.908491i | \(-0.637235\pi\) |
0.346897 | + | 0.937903i | \(0.387235\pi\) | |||||||
\(774\) | 9.52327 | − | 10.2774i | 0.342307 | − | 0.369412i | ||||
\(775\) | −34.4679 | + | 31.0763i | −1.23812 | + | 1.11629i | ||||
\(776\) | −8.71156 | + | 30.4672i | −0.312727 | + | 1.09371i | ||||
\(777\) | 3.33302i | 0.119571i | ||||||||
\(778\) | 23.7607 | − | 25.6422i | 0.851863 | − | 0.919317i | ||||
\(779\) | 7.08631 | + | 2.93525i | 0.253893 | + | 0.105166i | ||||
\(780\) | 6.30141 | − | 17.6778i | 0.225627 | − | 0.632969i | ||||
\(781\) | −12.2131 | − | 29.4849i | −0.437017 | − | 1.05505i | ||||
\(782\) | 10.1106 | + | 22.0011i | 0.361553 | + | 0.786759i | ||||
\(783\) | 4.06904 | + | 4.06904i | 0.145416 | + | 0.145416i | ||||
\(784\) | 4.21595 | + | 27.4741i | 0.150569 | + | 0.981218i | ||||
\(785\) | −21.8789 | + | 20.7760i | −0.780890 | + | 0.741528i | ||||
\(786\) | −3.28327 | + | 8.86680i | −0.117110 | + | 0.316268i | ||||
\(787\) | 0.867489 | − | 2.09430i | 0.0309226 | − | 0.0746539i | −0.907664 | − | 0.419698i | \(-0.862136\pi\) |
0.938586 | + | 0.345044i | \(0.112136\pi\) | |||||||
\(788\) | −7.09029 | + | 21.6442i | −0.252581 | + | 0.771042i | ||||
\(789\) | 16.1386 | − | 38.9620i | 0.574549 | − | 1.38708i | ||||
\(790\) | −14.5531 | − | 14.2018i | −0.517775 | − | 0.505276i | ||||
\(791\) | 1.40642 | + | 1.40642i | 0.0500066 | + | 0.0500066i | ||||
\(792\) | −22.4673 | + | 28.2889i | −0.798340 | + | 1.00520i | ||||
\(793\) | − | 8.55529i | − | 0.303807i | ||||||
\(794\) | −3.06559 | + | 3.30833i | −0.108794 | + | 0.117408i | ||||
\(795\) | 20.8383 | + | 9.26954i | 0.739058 | + | 0.328757i | ||||
\(796\) | 1.95514 | + | 25.6313i | 0.0692981 | + | 0.908478i | ||||
\(797\) | 11.5730 | − | 27.9397i | 0.409936 | − | 0.989673i | −0.575218 | − | 0.818000i | \(-0.695083\pi\) |
0.985154 | − | 0.171673i | \(-0.0549173\pi\) | |||||||
\(798\) | 3.89013 | + | 1.44047i | 0.137709 | + | 0.0509920i | ||||
\(799\) | −11.5021 | −0.406914 | ||||||||
\(800\) | −14.3311 | − | 24.3848i | −0.506681 | − | 0.862134i | ||||
\(801\) | 6.87534 | 0.242928 | ||||||||
\(802\) | −17.0684 | − | 6.32020i | −0.602704 | − | 0.223174i | ||||
\(803\) | −24.5367 | + | 59.2368i | −0.865880 | + | 2.09042i | ||||
\(804\) | −58.8074 | + | 4.48579i | −2.07398 | + | 0.158202i | ||||
\(805\) | −1.47284 | − | 0.655167i | −0.0519108 | − | 0.0230916i | ||||
\(806\) | −15.9823 | + | 17.2478i | −0.562951 | + | 0.607528i | ||||
\(807\) | − | 44.7227i | − | 1.57431i | ||||||
\(808\) | 5.88935 | + | 51.3470i | 0.207187 | + | 1.80638i | ||||
\(809\) | 1.58379 | + | 1.58379i | 0.0556832 | + | 0.0556832i | 0.734400 | − | 0.678717i | \(-0.237464\pi\) |
−0.678717 | + | 0.734400i | \(0.737464\pi\) | |||||||
\(810\) | −23.2525 | − | 22.6912i | −0.817011 | − | 0.797288i | ||||
\(811\) | 1.67083 | − | 4.03374i | 0.0586707 | − | 0.141644i | −0.891826 | − | 0.452379i | \(-0.850575\pi\) |
0.950496 | + | 0.310736i | \(0.100575\pi\) | |||||||
\(812\) | −2.06028 | − | 0.674914i | −0.0723016 | − | 0.0236848i | ||||
\(813\) | −15.7029 | + | 37.9102i | −0.550725 | + | 1.32957i | ||||
\(814\) | 15.8718 | − | 42.8633i | 0.556305 | − | 1.50236i | ||||
\(815\) | 1.75068 | − | 1.66244i | 0.0613237 | − | 0.0582326i | ||||
\(816\) | −26.0720 | − | 43.0093i | −0.912704 | − | 1.50563i | ||||
\(817\) | 15.6015 | + | 15.6015i | 0.545829 | + | 0.545829i | ||||
\(818\) | 13.5473 | + | 29.4796i | 0.473669 | + | 1.03073i | ||||
\(819\) | 0.385439 | + | 0.930532i | 0.0134683 | + | 0.0325154i | ||||
\(820\) | 5.83174 | + | 2.07877i | 0.203653 | + | 0.0725938i | ||||
\(821\) | −20.9411 | − | 8.67410i | −0.730850 | − | 0.302728i | −0.0139490 | − | 0.999903i | \(-0.504440\pi\) |
−0.716901 | + | 0.697175i | \(0.754440\pi\) | |||||||
\(822\) | −31.5565 | + | 34.0553i | −1.10066 | + | 1.18781i | ||||
\(823\) | − | 25.3669i | − | 0.884236i | −0.896957 | − | 0.442118i | \(-0.854227\pi\) | ||
0.896957 | − | 0.442118i | \(-0.145773\pi\) | |||||||
\(824\) | 20.9025 | − | 11.6070i | 0.728173 | − | 0.404349i | ||||
\(825\) | 3.10738 | − | 60.0523i | 0.108185 | − | 2.09075i | ||||
\(826\) | 0.545711 | − | 0.588923i | 0.0189877 | − | 0.0204913i | ||||
\(827\) | 23.1121 | − | 9.57333i | 0.803685 | − | 0.332897i | 0.0572535 | − | 0.998360i | \(-0.481766\pi\) |
0.746431 | + | 0.665463i | \(0.231766\pi\) | |||||||
\(828\) | −15.8261 | + | 1.20721i | −0.549995 | + | 0.0419533i | ||||
\(829\) | 0.844796 | + | 2.03952i | 0.0293410 | + | 0.0708354i | 0.937871 | − | 0.346984i | \(-0.112794\pi\) |
−0.908530 | + | 0.417820i | \(0.862794\pi\) | |||||||
\(830\) | −9.05133 | + | 3.87940i | −0.314176 | + | 0.134656i | ||||
\(831\) | − | 34.9444i | − | 1.21221i | ||||||
\(832\) | −8.33957 | − | 11.6546i | −0.289123 | − | 0.404049i | ||||
\(833\) | −26.3732 | − | 26.3732i | −0.913776 | − | 0.913776i | ||||
\(834\) | −20.7646 | − | 45.1848i | −0.719018 | − | 1.56462i | ||||
\(835\) | 8.88316 | − | 19.9697i | 0.307415 | − | 0.691079i | ||||
\(836\) | −43.1683 | − | 37.0494i | −1.49301 | − | 1.28138i | ||||
\(837\) | 4.26135 | + | 10.2878i | 0.147294 | + | 0.355598i | ||||
\(838\) | −0.484489 | − | 12.7215i | −0.0167364 | − | 0.439456i | ||||
\(839\) | 39.1509 | + | 39.1509i | 1.35164 | + | 1.35164i | 0.883829 | + | 0.467810i | \(0.154957\pi\) |
0.467810 | + | 0.883829i | \(0.345043\pi\) | |||||||
\(840\) | 3.19448 | + | 1.00342i | 0.110220 | + | 0.0346212i | ||||
\(841\) | 4.23772 | − | 4.23772i | 0.146128 | − | 0.146128i | ||||
\(842\) | 30.7517 | + | 28.4953i | 1.05977 | + | 0.982013i | ||||
\(843\) | −5.75455 | + | 2.38361i | −0.198197 | + | 0.0820960i | ||||
\(844\) | 8.37910 | + | 2.74486i | 0.288420 | + | 0.0944819i | ||||
\(845\) | −7.85261 | − | 20.4366i | −0.270138 | − | 0.703039i | ||||
\(846\) | 2.61817 | − | 7.07063i | 0.0900145 | − | 0.243093i | ||||
\(847\) | −2.45391 | + | 2.45391i | −0.0843172 | + | 0.0843172i | ||||
\(848\) | 14.8930 | − | 9.02806i | 0.511426 | − | 0.310025i | ||||
\(849\) | −21.1729 | −0.726652 | ||||||||
\(850\) | 34.8626 | + | 15.0006i | 1.19578 | + | 0.514515i | ||||
\(851\) | 18.5535 | − | 7.68511i | 0.636005 | − | 0.263442i | ||||
\(852\) | −9.06706 | + | 27.6786i | −0.310632 | + | 0.948253i | ||||
\(853\) | 3.67444 | + | 8.87087i | 0.125810 | + | 0.303733i | 0.974217 | − | 0.225611i | \(-0.0724380\pi\) |
−0.848407 | + | 0.529344i | \(0.822438\pi\) | |||||||
\(854\) | 1.52528 | − | 0.0580894i | 0.0521941 | − | 0.00198778i | ||||
\(855\) | −22.3505 | + | 21.2239i | −0.764370 | + | 0.725841i | ||||
\(856\) | 12.6215 | + | 10.0241i | 0.431392 | + | 0.342616i | ||||
\(857\) | −49.5126 | −1.69132 | −0.845659 | − | 0.533724i | \(-0.820792\pi\) | ||||
−0.845659 | + | 0.533724i | \(0.820792\pi\) | |||||||
\(858\) | −1.15951 | − | 30.4457i | −0.0395849 | − | 1.03940i | ||||
\(859\) | −11.6023 | + | 28.0104i | −0.395865 | + | 0.955703i | 0.592771 | + | 0.805371i | \(0.298034\pi\) |
−0.988636 | + | 0.150331i | \(0.951966\pi\) | |||||||
\(860\) | 13.2102 | + | 11.9443i | 0.450464 | + | 0.407297i | ||||
\(861\) | −0.677136 | + | 0.280479i | −0.0230767 | + | 0.00955870i | ||||
\(862\) | −4.90951 | + | 13.2586i | −0.167219 | + | 0.451591i | ||||
\(863\) | −33.4676 | + | 33.4676i | −1.13925 | + | 1.13925i | −0.150666 | + | 0.988585i | \(0.548142\pi\) |
−0.988585 | + | 0.150666i | \(0.951858\pi\) | |||||||
\(864\) | −6.66405 | + | 1.28391i | −0.226716 | + | 0.0436795i | ||||
\(865\) | −16.1579 | + | 15.3434i | −0.549384 | + | 0.521691i | ||||
\(866\) | 1.79717 | + | 3.91074i | 0.0610703 | + | 0.132892i | ||||
\(867\) | 25.5569 | + | 10.5860i | 0.867957 | + | 0.359520i | ||||
\(868\) | −3.18354 | − | 2.73229i | −0.108057 | − | 0.0927399i | ||||
\(869\) | −30.4987 | − | 12.6330i | −1.03460 | − | 0.428544i | ||||
\(870\) | 24.8168 | − | 25.4307i | 0.841368 | − | 0.862181i | ||||
\(871\) | 15.9452 | − | 15.9452i | 0.540284 | − | 0.540284i | ||||
\(872\) | −9.03965 | + | 11.3819i | −0.306121 | + | 0.385441i | ||||
\(873\) | 27.8728 | 0.943352 | ||||||||
\(874\) | −0.951195 | − | 24.9760i | −0.0321747 | − | 0.844826i | ||||
\(875\) | −2.40227 | + | 0.783181i | −0.0812116 | + | 0.0264764i | ||||
\(876\) | 52.2014 | − | 26.4398i | 1.76372 | − | 0.893319i | ||||
\(877\) | 0.897042 | + | 0.371567i | 0.0302909 | + | 0.0125469i | 0.397777 | − | 0.917482i | \(-0.369782\pi\) |
−0.367487 | + | 0.930029i | \(0.619782\pi\) | |||||||
\(878\) | 5.06607 | + | 11.0240i | 0.170971 | + | 0.372043i | ||||
\(879\) | 76.7023i | 2.58711i | ||||||||
\(880\) | −36.3035 | − | 28.1162i | −1.22379 | − | 0.947797i | ||||
\(881\) | − | 52.7456i | − | 1.77704i | −0.458833 | − | 0.888522i | \(-0.651732\pi\) | ||
0.458833 | − | 0.888522i | \(-0.348268\pi\) | |||||||
\(882\) | 22.2155 | − | 10.2091i | 0.748035 | − | 0.343758i | ||||
\(883\) | −33.1771 | − | 13.7424i | −1.11650 | − | 0.462469i | −0.253328 | − | 0.967381i | \(-0.581525\pi\) |
−0.863171 | + | 0.504912i | \(0.831525\pi\) | |||||||
\(884\) | 18.2743 | + | 5.98637i | 0.614631 | + | 0.201343i | ||||
\(885\) | 4.71987 | + | 12.2835i | 0.158657 | + | 0.412907i | ||||
\(886\) | −6.88453 | + | 0.262193i | −0.231290 | + | 0.00880855i | ||||
\(887\) | −17.6523 | −0.592705 | −0.296352 | − | 0.955079i | \(-0.595770\pi\) | ||||
−0.296352 | + | 0.955079i | \(0.595770\pi\) | |||||||
\(888\) | −36.4687 | + | 20.2508i | −1.22381 | + | 0.679571i | ||||
\(889\) | −0.755359 | + | 0.755359i | −0.0253339 | + | 0.0253339i | ||||
\(890\) | 0.106760 | + | 8.73843i | 0.00357861 | + | 0.292913i | ||||
\(891\) | −48.7301 | − | 20.1847i | −1.63252 | − | 0.676212i | ||||
\(892\) | 26.4262 | − | 2.01577i | 0.884815 | − | 0.0674931i | ||||
\(893\) | 10.9693 | + | 4.54363i | 0.367074 | + | 0.152047i | ||||
\(894\) | −0.288758 | + | 0.132698i | −0.00965751 | + | 0.00443808i | ||||
\(895\) | 0.196846 | − | 7.61346i | 0.00657984 | − | 0.254490i | ||||
\(896\) | 2.02121 | − | 1.56595i | 0.0675239 | − | 0.0523149i | ||||
\(897\) | 9.46561 | − | 9.46561i | 0.316048 | − | 0.316048i | ||||
\(898\) | −5.73731 | − | 2.12445i | −0.191456 | − | 0.0708940i | ||||
\(899\) | −41.1315 | + | 17.0372i | −1.37181 | + | 0.568223i | ||||
\(900\) | −17.1569 | + | 18.0165i | −0.571897 | + | 0.600549i | ||||
\(901\) | −8.94293 | + | 21.5901i | −0.297932 | + | 0.719272i | ||||
\(902\) | 10.0437 | − | 0.382510i | 0.334420 | − | 0.0127362i | ||||
\(903\) | −2.10833 | −0.0701608 | ||||||||
\(904\) | −6.84341 | + | 23.9337i | −0.227608 | + | 0.796022i | ||||
\(905\) | 30.8691 | + | 32.5077i | 1.02612 | + | 1.08059i | ||||
\(906\) | 2.89912 | + | 76.1237i | 0.0963169 | + | 2.52904i | ||||
\(907\) | −12.4088 | − | 29.9575i | −0.412028 | − | 0.994723i | −0.984593 | − | 0.174864i | \(-0.944052\pi\) |
0.572565 | − | 0.819859i | \(-0.305948\pi\) | |||||||
\(908\) | 6.10855 | + | 12.0604i | 0.202719 | + | 0.400239i | ||||
\(909\) | 42.0003 | − | 17.3971i | 1.39306 | − | 0.577025i | ||||
\(910\) | −1.17670 | + | 0.504335i | −0.0390073 | + | 0.0167185i | ||||
\(911\) | −36.7785 | −1.21853 | −0.609263 | − | 0.792968i | \(-0.708535\pi\) | ||||
−0.609263 | + | 0.792968i | \(0.708535\pi\) | |||||||
\(912\) | 7.87457 | + | 51.3163i | 0.260753 | + | 1.69925i | ||||
\(913\) | −11.3046 | + | 11.3046i | −0.374128 | + | 0.374128i | ||||
\(914\) | −12.4488 | − | 4.60963i | −0.411769 | − | 0.152473i | ||||
\(915\) | −10.1678 | + | 22.8576i | −0.336137 | + | 0.755648i | ||||
\(916\) | 11.2617 | + | 22.2345i | 0.372096 | + | 0.734647i | ||||
\(917\) | 0.595893 | − | 0.246827i | 0.0196781 | − | 0.00815094i | ||||
\(918\) | 6.18955 | − | 6.67967i | 0.204286 | − | 0.220462i | ||||
\(919\) | 13.1286 | − | 13.1286i | 0.433073 | − | 0.433073i | −0.456600 | − | 0.889672i | \(-0.650933\pi\) |
0.889672 | + | 0.456600i | \(0.150933\pi\) | |||||||
\(920\) | −1.78008 | − | 20.0959i | −0.0586876 | − | 0.662543i | ||||
\(921\) | 37.1207 | + | 37.1207i | 1.22317 | + | 1.22317i | ||||
\(922\) | −13.7397 | + | 0.523269i | −0.452494 | + | 0.0172330i | ||||
\(923\) | −4.26160 | − | 10.2884i | −0.140272 | − | 0.338647i | ||||
\(924\) | 5.42015 | − | 0.413446i | 0.178310 | − | 0.0136014i | ||||
\(925\) | 13.5328 | − | 28.4204i | 0.444954 | − | 0.934456i | ||||
\(926\) | −36.5516 | + | 16.7972i | −1.20116 | + | 0.551991i | ||||
\(927\) | −14.8706 | − | 14.8706i | −0.488415 | − | 0.488415i | ||||
\(928\) | −5.13318 | − | 26.6434i | −0.168505 | − | 0.874614i | ||||
\(929\) | − | 24.7549i | − | 0.812182i | −0.913833 | − | 0.406091i | \(-0.866892\pi\) | ||
0.913833 | − | 0.406091i | \(-0.133108\pi\) | |||||||
\(930\) | 63.1992 | − | 27.0872i | 2.07238 | − | 0.888223i | ||||
\(931\) | 14.7335 | + | 35.5697i | 0.482870 | + | 1.16575i | ||||
\(932\) | 13.7328 | + | 11.7862i | 0.449833 | + | 0.386071i | ||||
\(933\) | −3.16370 | + | 1.31045i | −0.103575 | + | 0.0429021i | ||||
\(934\) | −14.1975 | − | 13.1558i | −0.464557 | − | 0.430470i | ||||
\(935\) | 61.5938 | + | 1.59251i | 2.01433 | + | 0.0520806i | ||||
\(936\) | −7.83969 | + | 9.87106i | −0.256248 | + | 0.322646i | ||||
\(937\) | − | 27.6603i | − | 0.903621i | −0.892114 | − | 0.451811i | \(-0.850778\pi\) | ||
0.892114 | − | 0.451811i | \(-0.149222\pi\) | |||||||
\(938\) | 2.95106 | + | 2.73453i | 0.0963556 | + | 0.0892856i | ||||
\(939\) | 30.6157 | + | 12.6814i | 0.999106 | + | 0.413843i | ||||
\(940\) | 9.02729 | + | 3.21785i | 0.294438 | + | 0.104955i | ||||
\(941\) | 9.43016 | + | 22.7664i | 0.307414 | + | 0.742164i | 0.999787 | + | 0.0206243i | \(0.00656537\pi\) |
−0.692373 | + | 0.721540i | \(0.743435\pi\) | |||||||
\(942\) | 40.6187 | − | 18.6662i | 1.32343 | − | 0.608178i | ||||
\(943\) | 3.12261 | + | 3.12261i | 0.101686 | + | 0.101686i | ||||
\(944\) | 9.75942 | + | 2.39279i | 0.317642 | + | 0.0778788i | ||||
\(945\) | −0.0156698 | + | 0.606064i | −0.000509738 | + | 0.0197153i | ||||
\(946\) | 27.1135 | + | 10.0398i | 0.881537 | + | 0.326423i | ||||
\(947\) | −19.1119 | + | 46.1402i | −0.621053 | + | 1.49936i | 0.229415 | + | 0.973329i | \(0.426319\pi\) |
−0.850468 | + | 0.526026i | \(0.823681\pi\) | |||||||
\(948\) | 13.6128 | + | 26.8765i | 0.442124 | + | 0.872908i | ||||
\(949\) | −8.56178 | + | 20.6700i | −0.277927 | + | 0.670975i | ||||
\(950\) | −27.3222 | − | 28.0775i | −0.886449 | − | 0.910953i | ||||
\(951\) | 27.5258 | + | 27.5258i | 0.892586 | + | 0.892586i | ||||
\(952\) | −0.943200 | + | 3.29868i | −0.0305693 | + | 0.106911i | ||||
\(953\) | 23.1471i | 0.749807i | 0.927064 | + | 0.374903i | \(0.122324\pi\) | ||||
−0.927064 | + | 0.374903i | \(0.877676\pi\) | |||||||
\(954\) | −11.2364 | − | 10.4119i | −0.363792 | − | 0.337099i | ||||
\(955\) | −14.2655 | + | 32.0694i | −0.461622 | + | 1.03774i | ||||
\(956\) | 16.6806 | − | 19.4355i | 0.539488 | − | 0.628588i | ||||
\(957\) | 22.0754 | − | 53.2948i | 0.713598 | − | 1.72278i | ||||
\(958\) | 7.42272 | − | 20.0458i | 0.239817 | − | 0.647651i | ||||
\(959\) | 3.16713 | 0.102272 | ||||||||
\(960\) | 8.43002 | + | 41.0494i | 0.272078 | + | 1.32486i | ||||
\(961\) | −55.1508 | −1.77906 | ||||||||
\(962\) | 5.53826 | − | 14.9566i | 0.178561 | − | 0.482222i | ||||
\(963\) | 5.42536 | − | 13.0980i | 0.174830 | − | 0.422077i | ||||
\(964\) | 27.1581 | − | 31.6435i | 0.874705 | − | 1.01917i | ||||
\(965\) | −21.3235 | − | 55.4946i | −0.686426 | − | 1.78644i | ||||
\(966\) | 1.75185 | + | 1.62331i | 0.0563648 | + | 0.0522291i | ||||
\(967\) | 7.13428i | 0.229423i | 0.993399 | + | 0.114712i | \(0.0365944\pi\) | ||||
−0.993399 | + | 0.114712i | \(0.963406\pi\) | |||||||
\(968\) | −41.7592 | − | 11.9403i | −1.34219 | − | 0.383776i | ||||
\(969\) | −49.2599 | − | 49.2599i | −1.58246 | − | 1.58246i | ||||
\(970\) | 0.432809 | + | 35.4258i | 0.0138967 | + | 1.13745i | ||||
\(971\) | 2.85283 | − | 6.88734i | 0.0915516 | − | 0.221025i | −0.871470 | − | 0.490448i | \(-0.836833\pi\) |
0.963022 | + | 0.269423i | \(0.0868330\pi\) | |||||||
\(972\) | 18.4978 | + | 36.5210i | 0.593316 | + | 1.17141i | ||||
\(973\) | −1.29814 | + | 3.13398i | −0.0416164 | + | 0.100471i | ||||
\(974\) | 23.7544 | + | 8.79598i | 0.761141 | + | 0.281841i | ||||
\(975\) | 1.08428 | − | 20.9545i | 0.0347248 | − | 0.671082i | ||||
\(976\) | 9.90290 | + | 16.3361i | 0.316984 | + | 0.522907i | ||||
\(977\) | 7.41674 | + | 7.41674i | 0.237282 | + | 0.237282i | 0.815724 | − | 0.578441i | \(-0.196339\pi\) |
−0.578441 | + | 0.815724i | \(0.696339\pi\) | |||||||
\(978\) | −3.25019 | + | 1.49362i | −0.103930 | + | 0.0477606i | ||||
\(979\) | 5.42929 | + | 13.1075i | 0.173521 | + | 0.418917i | ||||
\(980\) | 13.3205 | + | 28.0770i | 0.425508 | + | 0.896886i | ||||
\(981\) | 11.8117 | + | 4.89256i | 0.377118 | + | 0.156207i | ||||
\(982\) | 25.6192 | + | 23.7394i | 0.817543 | + | 0.757556i | ||||
\(983\) | − | 49.7356i | − | 1.58632i | −0.609014 | − | 0.793160i | \(-0.708435\pi\) | ||
0.609014 | − | 0.793160i | \(-0.291565\pi\) | |||||||
\(984\) | −7.18304 | − | 5.70484i | −0.228987 | − | 0.181864i | ||||
\(985\) | −0.658159 | + | 25.4558i | −0.0209707 | + | 0.811088i | ||||
\(986\) | 26.7059 | + | 24.7464i | 0.850489 | + | 0.788085i | ||||
\(987\) | −1.04818 | + | 0.434169i | −0.0333639 | + | 0.0138198i | ||||
\(988\) | −15.0631 | − | 12.9279i | −0.479220 | − | 0.411293i | ||||
\(989\) | 4.86128 | + | 11.7362i | 0.154580 | + | 0.373188i | ||||
\(990\) | −14.9993 | + | 37.5009i | −0.476710 | + | 1.19186i | ||||
\(991\) | − | 25.5117i | − | 0.810406i | −0.914227 | − | 0.405203i | \(-0.867201\pi\) | ||
0.914227 | − | 0.405203i | \(-0.132799\pi\) | |||||||
\(992\) | 10.5531 | − | 51.4340i | 0.335062 | − | 1.63303i | ||||
\(993\) | 16.0645 | + | 16.0645i | 0.509793 | + | 0.509793i | ||||
\(994\) | 1.80533 | − | 0.829637i | 0.0572617 | − | 0.0263145i | ||||
\(995\) | 10.3083 | + | 26.8276i | 0.326796 | + | 0.850493i | ||||
\(996\) | 14.5481 | − | 1.10972i | 0.460973 | − | 0.0351627i | ||||
\(997\) | 21.0436 | + | 50.8036i | 0.666456 | + | 1.60897i | 0.787496 | + | 0.616320i | \(0.211377\pi\) |
−0.121040 | + | 0.992648i | \(0.538623\pi\) | |||||||
\(998\) | 20.4057 | − | 0.777139i | 0.645932 | − | 0.0245999i | ||||
\(999\) | −5.34069 | − | 5.34069i | −0.168972 | − | 0.168972i |
(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 | 160.2.u.a.43.9 | ✓ | 88 | |
4.3 | odd | 2 | 640.2.u.a.463.4 | 88 | |||
5.2 | odd | 4 | 160.2.ba.a.107.3 | yes | 88 | ||
5.3 | odd | 4 | 800.2.bb.b.107.20 | 88 | |||
5.4 | even | 2 | 800.2.v.b.43.14 | 88 | |||
20.7 | even | 4 | 640.2.ba.a.207.19 | 88 | |||
32.3 | odd | 8 | 160.2.ba.a.3.3 | yes | 88 | ||
32.29 | even | 8 | 640.2.ba.a.303.19 | 88 | |||
160.3 | even | 8 | 800.2.v.b.707.14 | 88 | |||
160.67 | even | 8 | inner | 160.2.u.a.67.9 | yes | 88 | |
160.99 | odd | 8 | 800.2.bb.b.643.20 | 88 | |||
160.157 | odd | 8 | 640.2.u.a.47.4 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.2.u.a.43.9 | ✓ | 88 | 1.1 | even | 1 | trivial | |
160.2.u.a.67.9 | yes | 88 | 160.67 | even | 8 | inner | |
160.2.ba.a.3.3 | yes | 88 | 32.3 | odd | 8 | ||
160.2.ba.a.107.3 | yes | 88 | 5.2 | odd | 4 | ||
640.2.u.a.47.4 | 88 | 160.157 | odd | 8 | |||
640.2.u.a.463.4 | 88 | 4.3 | odd | 2 | |||
640.2.ba.a.207.19 | 88 | 20.7 | even | 4 | |||
640.2.ba.a.303.19 | 88 | 32.29 | even | 8 | |||
800.2.v.b.43.14 | 88 | 5.4 | even | 2 | |||
800.2.v.b.707.14 | 88 | 160.3 | even | 8 | |||
800.2.bb.b.107.20 | 88 | 5.3 | odd | 4 | |||
800.2.bb.b.643.20 | 88 | 160.99 | odd | 8 |