Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 13.29 | ||
Character | \(\chi\) | \(=\) | 216.13 |
Dual form | 216.2.t.a.133.29 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15171 | − | 0.820715i | 0.814379 | − | 0.580333i | ||||
\(3\) | −0.411299 | + | 1.68251i | −0.237463 | + | 0.971396i | ||||
\(4\) | 0.652854 | − | 1.89044i | 0.326427 | − | 0.945222i | ||||
\(5\) | 2.15975 | − | 2.57389i | 0.965871 | − | 1.15108i | −0.0226118 | − | 0.999744i | \(-0.507198\pi\) |
0.988482 | − | 0.151335i | \(-0.0483574\pi\) | |||||||
\(6\) | 0.907164 | + | 2.27531i | 0.370348 | + | 0.928893i | ||||
\(7\) | −1.78453 | − | 0.649515i | −0.674489 | − | 0.245494i | −0.0180093 | − | 0.999838i | \(-0.505733\pi\) |
−0.656479 | + | 0.754344i | \(0.727955\pi\) | |||||||
\(8\) | −0.799620 | − | 2.71304i | −0.282708 | − | 0.959206i | ||||
\(9\) | −2.66167 | − | 1.38403i | −0.887222 | − | 0.461342i | ||||
\(10\) | 0.374968 | − | 4.73691i | 0.118575 | − | 1.49794i | ||||
\(11\) | 3.21944 | + | 3.83678i | 0.970699 | + | 1.15683i | 0.987602 | + | 0.156977i | \(0.0501747\pi\) |
−0.0169036 | + | 0.999857i | \(0.505381\pi\) | |||||||
\(12\) | 2.91217 | + | 1.87597i | 0.840671 | + | 0.541546i | ||||
\(13\) | 3.61424 | + | 0.637289i | 1.00241 | + | 0.176752i | 0.650682 | − | 0.759350i | \(-0.274483\pi\) |
0.351728 | + | 0.936102i | \(0.385594\pi\) | |||||||
\(14\) | −2.58832 | + | 0.716539i | −0.691758 | + | 0.191503i | ||||
\(15\) | 3.44229 | + | 4.69244i | 0.888796 | + | 1.21158i | ||||
\(16\) | −3.14756 | − | 2.46837i | −0.786891 | − | 0.617092i | ||||
\(17\) | −1.74380 | + | 3.02034i | −0.422932 | + | 0.732541i | −0.996225 | − | 0.0868103i | \(-0.972333\pi\) |
0.573292 | + | 0.819351i | \(0.305666\pi\) | |||||||
\(18\) | −4.20135 | + | 0.590478i | −0.990268 | + | 0.139177i | ||||
\(19\) | −2.73085 | + | 1.57666i | −0.626501 | + | 0.361710i | −0.779396 | − | 0.626532i | \(-0.784474\pi\) |
0.152895 | + | 0.988242i | \(0.451140\pi\) | |||||||
\(20\) | −3.45580 | − | 5.76327i | −0.772740 | − | 1.28871i | ||||
\(21\) | 1.82679 | − | 2.73534i | 0.398638 | − | 0.596900i | ||||
\(22\) | 6.85676 | + | 1.77660i | 1.46187 | + | 0.378773i | ||||
\(23\) | −2.93428 | + | 1.06799i | −0.611839 | + | 0.222691i | −0.629308 | − | 0.777156i | \(-0.716662\pi\) |
0.0174685 | + | 0.999847i | \(0.494439\pi\) | |||||||
\(24\) | 4.89360 | − | 0.229496i | 0.998902 | − | 0.0468456i | ||||
\(25\) | −1.09215 | − | 6.19390i | −0.218430 | − | 1.23878i | ||||
\(26\) | 4.68558 | − | 2.23229i | 0.918918 | − | 0.437789i | ||||
\(27\) | 3.42338 | − | 3.90903i | 0.658829 | − | 0.752293i | ||||
\(28\) | −2.39291 | + | 2.94951i | −0.452218 | + | 0.557406i | ||||
\(29\) | −6.61611 | + | 1.16660i | −1.22858 | + | 0.216632i | −0.750015 | − | 0.661420i | \(-0.769954\pi\) |
−0.478565 | + | 0.878052i | \(0.658843\pi\) | |||||||
\(30\) | 7.81566 | + | 2.57917i | 1.42694 | + | 0.470890i | ||||
\(31\) | 0.842639 | − | 0.306695i | 0.151342 | − | 0.0550841i | −0.265238 | − | 0.964183i | \(-0.585451\pi\) |
0.416581 | + | 0.909099i | \(0.363228\pi\) | |||||||
\(32\) | −5.65090 | − | 0.259585i | −0.998947 | − | 0.0458885i | ||||
\(33\) | −7.77957 | + | 3.83868i | −1.35425 | + | 0.668228i | ||||
\(34\) | 0.470500 | + | 4.90971i | 0.0806901 | + | 0.842008i | ||||
\(35\) | −5.52592 | + | 3.19039i | −0.934052 | + | 0.539275i | ||||
\(36\) | −4.35411 | + | 4.12817i | −0.725684 | + | 0.688028i | ||||
\(37\) | 6.21485 | + | 3.58815i | 1.02172 | + | 0.589887i | 0.914600 | − | 0.404359i | \(-0.132505\pi\) |
0.107115 | + | 0.994247i | \(0.465839\pi\) | |||||||
\(38\) | −1.85115 | + | 4.05710i | −0.300297 | + | 0.658148i | ||||
\(39\) | −2.55878 | + | 5.81888i | −0.409732 | + | 0.931766i | ||||
\(40\) | −8.71007 | − | 3.80137i | −1.37718 | − | 0.601049i | ||||
\(41\) | −0.341649 | + | 1.93759i | −0.0533567 | + | 0.302601i | −0.999794 | − | 0.0202862i | \(-0.993542\pi\) |
0.946438 | + | 0.322887i | \(0.104653\pi\) | |||||||
\(42\) | −0.141009 | − | 4.64958i | −0.0217582 | − | 0.717446i | ||||
\(43\) | −5.36405 | − | 6.39263i | −0.818010 | − | 0.974867i | 0.181954 | − | 0.983307i | \(-0.441758\pi\) |
−0.999964 | + | 0.00844018i | \(0.997313\pi\) | |||||||
\(44\) | 9.35505 | − | 3.58132i | 1.41033 | − | 0.539904i | ||||
\(45\) | −9.31088 | + | 3.86169i | −1.38798 | + | 0.575667i | ||||
\(46\) | −2.50291 | + | 3.63822i | −0.369034 | + | 0.536426i | ||||
\(47\) | 2.63733 | + | 0.959909i | 0.384694 | + | 0.140017i | 0.527125 | − | 0.849788i | \(-0.323270\pi\) |
−0.142432 | + | 0.989805i | \(0.545492\pi\) | |||||||
\(48\) | 5.44764 | − | 4.28056i | 0.786299 | − | 0.617846i | ||||
\(49\) | −2.59964 | − | 2.18135i | −0.371377 | − | 0.311622i | ||||
\(50\) | −6.34127 | − | 6.23721i | −0.896791 | − | 0.882075i | ||||
\(51\) | −4.36453 | − | 4.17621i | −0.611156 | − | 0.584787i | ||||
\(52\) | 3.56433 | − | 6.41647i | 0.494284 | − | 0.889804i | ||||
\(53\) | 9.52536i | 1.30841i | 0.756318 | + | 0.654205i | \(0.226996\pi\) | ||||
−0.756318 | + | 0.654205i | \(0.773004\pi\) | |||||||
\(54\) | 0.734526 | − | 7.31167i | 0.0999563 | − | 0.994992i | ||||
\(55\) | 16.8287 | 2.26918 | ||||||||
\(56\) | −0.335219 | + | 5.36087i | −0.0447955 | + | 0.716377i | ||||
\(57\) | −1.52954 | − | 5.24316i | −0.202593 | − | 0.694473i | ||||
\(58\) | −6.66237 | + | 6.77352i | −0.874812 | + | 0.889406i | ||||
\(59\) | −6.13695 | + | 7.31373i | −0.798963 | + | 0.952167i | −0.999622 | − | 0.0274946i | \(-0.991247\pi\) |
0.200659 | + | 0.979661i | \(0.435692\pi\) | |||||||
\(60\) | 11.1181 | − | 3.44398i | 1.43534 | − | 0.444616i | ||||
\(61\) | 2.92540 | − | 8.03747i | 0.374559 | − | 1.02909i | −0.599018 | − | 0.800735i | \(-0.704442\pi\) |
0.973577 | − | 0.228358i | \(-0.0733355\pi\) | |||||||
\(62\) | 0.718763 | − | 1.04479i | 0.0912830 | − | 0.132688i | ||||
\(63\) | 3.85088 | + | 4.19863i | 0.485165 | + | 0.528978i | ||||
\(64\) | −6.72122 | + | 4.33881i | −0.840152 | + | 0.542351i | ||||
\(65\) | 9.44618 | − | 7.92629i | 1.17165 | − | 0.983135i | ||||
\(66\) | −5.80932 | + | 10.8058i | −0.715078 | + | 1.33011i | ||||
\(67\) | 13.7512 | + | 2.42470i | 1.67997 | + | 0.296224i | 0.930631 | − | 0.365960i | \(-0.119259\pi\) |
0.749341 | + | 0.662184i | \(0.230370\pi\) | |||||||
\(68\) | 4.57135 | + | 5.26839i | 0.554357 | + | 0.638886i | ||||
\(69\) | −0.590037 | − | 5.37621i | −0.0710321 | − | 0.647220i | ||||
\(70\) | −3.74584 | + | 8.20960i | −0.447713 | + | 0.981235i | ||||
\(71\) | 1.50109 | − | 2.59997i | 0.178147 | − | 0.308560i | −0.763099 | − | 0.646282i | \(-0.776323\pi\) |
0.941246 | + | 0.337722i | \(0.109656\pi\) | |||||||
\(72\) | −1.62660 | + | 8.32791i | −0.191697 | + | 0.981454i | ||||
\(73\) | 0.472663 | + | 0.818676i | 0.0553210 | + | 0.0958187i | 0.892360 | − | 0.451325i | \(-0.149048\pi\) |
−0.837039 | + | 0.547144i | \(0.815715\pi\) | |||||||
\(74\) | 10.1025 | − | 0.968131i | 1.17439 | − | 0.112543i | ||||
\(75\) | 10.8705 | + | 0.709989i | 1.25522 | + | 0.0819825i | ||||
\(76\) | 1.19774 | + | 6.19185i | 0.137390 | + | 0.710254i | ||||
\(77\) | −3.25314 | − | 8.93793i | −0.370730 | − | 1.01857i | ||||
\(78\) | 1.82868 | + | 8.80166i | 0.207057 | + | 0.996592i | ||||
\(79\) | −0.803209 | − | 4.55523i | −0.0903681 | − | 0.512503i | −0.996069 | − | 0.0885849i | \(-0.971766\pi\) |
0.905701 | − | 0.423918i | \(-0.139346\pi\) | |||||||
\(80\) | −13.1513 | + | 2.77042i | −1.47036 | + | 0.309743i | ||||
\(81\) | 5.16894 | + | 7.36764i | 0.574327 | + | 0.818626i | ||||
\(82\) | 1.19673 | + | 2.51193i | 0.132157 | + | 0.277396i | ||||
\(83\) | 2.12803 | − | 0.375229i | 0.233582 | − | 0.0411868i | −0.0556319 | − | 0.998451i | \(-0.517717\pi\) |
0.289214 | + | 0.957265i | \(0.406606\pi\) | |||||||
\(84\) | −3.97838 | − | 5.23922i | −0.434077 | − | 0.571646i | ||||
\(85\) | 4.00787 | + | 11.0115i | 0.434715 | + | 1.19437i | ||||
\(86\) | −11.4243 | − | 2.96007i | −1.23192 | − | 0.319193i | ||||
\(87\) | 0.758385 | − | 11.6115i | 0.0813074 | − | 1.24488i | ||||
\(88\) | 7.83503 | − | 11.8025i | 0.835217 | − | 1.25815i | ||||
\(89\) | −7.83712 | − | 13.5743i | −0.830733 | − | 1.43887i | −0.897458 | − | 0.441101i | \(-0.854588\pi\) |
0.0667245 | − | 0.997771i | \(-0.478745\pi\) | |||||||
\(90\) | −7.55405 | + | 12.0891i | −0.796267 | + | 1.27430i | ||||
\(91\) | −6.03579 | − | 3.48477i | −0.632723 | − | 0.365303i | ||||
\(92\) | 0.103320 | + | 6.24433i | 0.0107719 | + | 0.651017i | ||||
\(93\) | 0.169441 | + | 1.54389i | 0.0175703 | + | 0.160094i | ||||
\(94\) | 3.82524 | − | 1.05896i | 0.394543 | − | 0.109223i | ||||
\(95\) | −1.83982 | + | 10.4341i | −0.188761 | + | 1.07052i | ||||
\(96\) | 2.76096 | − | 9.40091i | 0.281789 | − | 0.959476i | ||||
\(97\) | 1.68619 | − | 1.41488i | 0.171207 | − | 0.143659i | −0.553158 | − | 0.833076i | \(-0.686578\pi\) |
0.724365 | + | 0.689417i | \(0.242133\pi\) | |||||||
\(98\) | −4.78429 | − | 0.378719i | −0.483286 | − | 0.0382564i | ||||
\(99\) | −3.25888 | − | 14.6680i | −0.327529 | − | 1.47419i | ||||
\(100\) | −12.4222 | − | 1.97906i | −1.24222 | − | 0.197906i | ||||
\(101\) | 6.12830 | − | 16.8374i | 0.609789 | − | 1.67538i | −0.120895 | − | 0.992665i | \(-0.538576\pi\) |
0.730684 | − | 0.682716i | \(-0.239201\pi\) | |||||||
\(102\) | −8.45413 | − | 1.22774i | −0.837084 | − | 0.121564i | ||||
\(103\) | −10.6973 | − | 8.97613i | −1.05404 | − | 0.884444i | −0.0605268 | − | 0.998167i | \(-0.519278\pi\) |
−0.993513 | + | 0.113723i | \(0.963723\pi\) | |||||||
\(104\) | −1.16103 | − | 10.3152i | −0.113848 | − | 1.01149i | ||||
\(105\) | −3.09506 | − | 10.6096i | −0.302047 | − | 1.03539i | ||||
\(106\) | 7.81761 | + | 10.9704i | 0.759313 | + | 1.06554i | ||||
\(107\) | 12.3518i | 1.19409i | 0.802207 | + | 0.597046i | \(0.203659\pi\) | ||||
−0.802207 | + | 0.597046i | \(0.796341\pi\) | |||||||
\(108\) | −5.15484 | − | 9.02373i | −0.496024 | − | 0.868309i | ||||
\(109\) | − | 2.18468i | − | 0.209255i | −0.994511 | − | 0.104627i | \(-0.966635\pi\) | ||
0.994511 | − | 0.104627i | \(-0.0333650\pi\) | |||||||
\(110\) | 19.3817 | − | 13.8115i | 1.84797 | − | 1.31688i | ||||
\(111\) | −8.59324 | + | 8.98074i | −0.815634 | + | 0.852414i | ||||
\(112\) | 4.01367 | + | 6.44927i | 0.379256 | + | 0.609399i | ||||
\(113\) | 12.1210 | + | 10.1708i | 1.14025 | + | 0.956785i | 0.999447 | − | 0.0332523i | \(-0.0105865\pi\) |
0.140805 | + | 0.990037i | \(0.455031\pi\) | |||||||
\(114\) | −6.06472 | − | 4.78326i | −0.568014 | − | 0.447993i | ||||
\(115\) | −3.58842 | + | 9.85911i | −0.334622 | + | 0.919367i | ||||
\(116\) | −2.11396 | + | 13.2690i | −0.196277 | + | 1.23200i | ||||
\(117\) | −8.73789 | − | 6.69846i | −0.807818 | − | 0.619273i | ||||
\(118\) | −1.06547 | + | 13.4600i | −0.0980848 | + | 1.23909i | ||||
\(119\) | 5.07361 | − | 4.25727i | 0.465097 | − | 0.390263i | ||||
\(120\) | 9.97827 | − | 13.0913i | 0.910887 | − | 1.19506i | ||||
\(121\) | −2.44596 | + | 13.8717i | −0.222360 | + | 1.26107i | ||||
\(122\) | −3.22727 | − | 11.6577i | −0.292183 | − | 1.05544i | ||||
\(123\) | −3.11949 | − | 1.37176i | −0.281275 | − | 0.123687i | ||||
\(124\) | −0.0296705 | − | 1.79319i | −0.00266449 | − | 0.161033i | ||||
\(125\) | −3.75209 | − | 2.16627i | −0.335597 | − | 0.193757i | ||||
\(126\) | 7.88095 | + | 1.67512i | 0.702091 | + | 0.149231i | ||||
\(127\) | −5.17381 | − | 8.96131i | −0.459102 | − | 0.795187i | 0.539812 | − | 0.841786i | \(-0.318495\pi\) |
−0.998914 | + | 0.0465982i | \(0.985162\pi\) | |||||||
\(128\) | −4.17994 | + | 10.5132i | −0.369458 | + | 0.929247i | ||||
\(129\) | 12.9619 | − | 6.39578i | 1.14123 | − | 0.563117i | ||||
\(130\) | 4.37400 | − | 16.8814i | 0.383626 | − | 1.48059i | ||||
\(131\) | −3.07414 | − | 8.44614i | −0.268589 | − | 0.737942i | −0.998518 | − | 0.0544195i | \(-0.982669\pi\) |
0.729929 | − | 0.683523i | \(-0.239553\pi\) | |||||||
\(132\) | 2.17788 | + | 17.2129i | 0.189560 | + | 1.49819i | ||||
\(133\) | 5.89735 | − | 1.03986i | 0.511365 | − | 0.0901675i | ||||
\(134\) | 17.8273 | − | 8.49324i | 1.54004 | − | 0.733704i | ||||
\(135\) | −2.66777 | − | 17.2539i | −0.229605 | − | 1.48498i | ||||
\(136\) | 9.58869 | + | 2.31587i | 0.822224 | + | 0.198584i | ||||
\(137\) | 2.92683 | + | 16.5989i | 0.250056 | + | 1.41814i | 0.808451 | + | 0.588563i | \(0.200306\pi\) |
−0.558395 | + | 0.829575i | \(0.688583\pi\) | |||||||
\(138\) | −5.09188 | − | 5.70756i | −0.433450 | − | 0.485860i | ||||
\(139\) | −3.76833 | − | 10.3534i | −0.319626 | − | 0.878164i | −0.990613 | − | 0.136695i | \(-0.956352\pi\) |
0.670988 | − | 0.741469i | \(-0.265870\pi\) | |||||||
\(140\) | 2.42364 | + | 12.5293i | 0.204835 | + | 1.05892i | ||||
\(141\) | −2.69978 | + | 4.04252i | −0.227363 | + | 0.340441i | ||||
\(142\) | −0.405016 | − | 4.22637i | −0.0339882 | − | 0.354669i | ||||
\(143\) | 9.19071 | + | 15.9188i | 0.768566 | + | 1.33120i | ||||
\(144\) | 4.96147 | + | 10.9263i | 0.413456 | + | 0.910524i | ||||
\(145\) | −11.2865 | + | 19.5487i | −0.937289 | + | 1.62343i | ||||
\(146\) | 1.21627 | + | 0.554953i | 0.100659 | + | 0.0459282i | ||||
\(147\) | 4.73937 | − | 3.47672i | 0.390897 | − | 0.286755i | ||||
\(148\) | 10.8406 | − | 9.40629i | 0.891090 | − | 0.773193i | ||||
\(149\) | 10.6491 | + | 1.87772i | 0.872406 | + | 0.153829i | 0.591888 | − | 0.806020i | \(-0.298383\pi\) |
0.280518 | + | 0.959849i | \(0.409494\pi\) | |||||||
\(150\) | 13.1023 | − | 8.10388i | 1.06980 | − | 0.661679i | ||||
\(151\) | −0.489785 | + | 0.410979i | −0.0398582 | + | 0.0334450i | −0.662499 | − | 0.749063i | \(-0.730504\pi\) |
0.622641 | + | 0.782508i | \(0.286060\pi\) | |||||||
\(152\) | 6.46119 | + | 6.14820i | 0.524072 | + | 0.498685i | ||||
\(153\) | 8.82164 | − | 5.62569i | 0.713187 | − | 0.454810i | ||||
\(154\) | −11.0822 | − | 7.62397i | −0.893025 | − | 0.614357i | ||||
\(155\) | 1.03049 | − | 2.83125i | 0.0827709 | − | 0.227411i | ||||
\(156\) | 9.32976 | + | 8.63610i | 0.746979 | + | 0.691442i | ||||
\(157\) | −5.93021 | + | 7.06735i | −0.473282 | + | 0.564036i | −0.948884 | − | 0.315625i | \(-0.897786\pi\) |
0.475602 | + | 0.879661i | \(0.342230\pi\) | |||||||
\(158\) | −4.66360 | − | 4.58708i | −0.371016 | − | 0.364928i | ||||
\(159\) | −16.0265 | − | 3.91777i | −1.27098 | − | 0.310699i | ||||
\(160\) | −12.8727 | + | 13.9842i | −1.01767 | + | 1.10554i | ||||
\(161\) | 5.92998 | 0.467348 | ||||||||
\(162\) | 11.9998 | + | 4.24312i | 0.942796 | + | 0.333371i | ||||
\(163\) | − | 8.36032i | − | 0.654831i | −0.944881 | − | 0.327415i | \(-0.893822\pi\) | ||
0.944881 | − | 0.327415i | \(-0.106178\pi\) | |||||||
\(164\) | 3.43986 | + | 1.91083i | 0.268608 | + | 0.149211i | ||||
\(165\) | −6.92161 | + | 28.3144i | −0.538847 | + | 2.20427i | ||||
\(166\) | 2.14291 | − | 2.17866i | 0.166322 | − | 0.169097i | ||||
\(167\) | −4.77570 | − | 4.00729i | −0.369555 | − | 0.310094i | 0.439030 | − | 0.898472i | \(-0.355322\pi\) |
−0.808586 | + | 0.588379i | \(0.799766\pi\) | |||||||
\(168\) | −8.88183 | − | 2.76893i | −0.685248 | − | 0.213627i | ||||
\(169\) | 0.440614 | + | 0.160370i | 0.0338934 | + | 0.0123362i | ||||
\(170\) | 13.6532 | + | 9.39273i | 1.04715 | + | 0.720390i | ||||
\(171\) | 9.45076 | − | 0.416967i | 0.722717 | − | 0.0318863i | ||||
\(172\) | −15.5869 | + | 5.96699i | −1.18849 | + | 0.454979i | ||||
\(173\) | −5.72780 | − | 6.82613i | −0.435477 | − | 0.518981i | 0.503017 | − | 0.864276i | \(-0.332223\pi\) |
−0.938494 | + | 0.345295i | \(0.887779\pi\) | |||||||
\(174\) | −8.65627 | − | 13.9954i | −0.656230 | − | 1.06099i | ||||
\(175\) | −2.07406 | + | 11.7626i | −0.156784 | + | 0.889167i | ||||
\(176\) | −0.662802 | − | 20.0233i | −0.0499605 | − | 1.50931i | ||||
\(177\) | −9.78129 | − | 13.3336i | −0.735207 | − | 1.00221i | ||||
\(178\) | −20.1667 | − | 9.20155i | −1.51156 | − | 0.689686i | ||||
\(179\) | 12.5035 | + | 7.21893i | 0.934559 | + | 0.539568i | 0.888251 | − | 0.459359i | \(-0.151921\pi\) |
0.0463085 | + | 0.998927i | \(0.485254\pi\) | |||||||
\(180\) | 1.22167 | + | 20.1228i | 0.0910577 | + | 1.49987i | ||||
\(181\) | 4.19806 | − | 2.42375i | 0.312039 | − | 0.180156i | −0.335799 | − | 0.941934i | \(-0.609006\pi\) |
0.647839 | + | 0.761778i | \(0.275673\pi\) | |||||||
\(182\) | −9.81146 | + | 0.940238i | −0.727274 | + | 0.0696951i | ||||
\(183\) | 12.3199 | + | 8.22781i | 0.910713 | + | 0.608217i | ||||
\(184\) | 5.24381 | + | 7.10684i | 0.386579 | + | 0.523923i | ||||
\(185\) | 22.6580 | − | 8.24685i | 1.66585 | − | 0.606321i | ||||
\(186\) | 1.46224 | + | 1.63904i | 0.107217 | + | 0.120181i | ||||
\(187\) | −17.2024 | + | 3.03326i | −1.25797 | + | 0.221814i | ||||
\(188\) | 3.53644 | − | 4.35904i | 0.257922 | − | 0.317916i | ||||
\(189\) | −8.64809 | + | 4.75224i | −0.629056 | + | 0.345674i | ||||
\(190\) | 6.44451 | + | 13.5270i | 0.467534 | + | 0.981352i | ||||
\(191\) | −4.56335 | − | 25.8800i | −0.330192 | − | 1.87261i | −0.470345 | − | 0.882483i | \(-0.655871\pi\) |
0.140153 | − | 0.990130i | \(-0.455241\pi\) | |||||||
\(192\) | −4.53565 | − | 13.0930i | −0.327333 | − | 0.944909i | ||||
\(193\) | 3.82953 | − | 1.39383i | 0.275655 | − | 0.100330i | −0.200494 | − | 0.979695i | \(-0.564255\pi\) |
0.476149 | + | 0.879365i | \(0.342032\pi\) | |||||||
\(194\) | 0.780781 | − | 3.01341i | 0.0560568 | − | 0.216350i | ||||
\(195\) | 9.45084 | + | 19.1534i | 0.676789 | + | 1.37160i | ||||
\(196\) | −5.82091 | + | 3.49036i | −0.415780 | + | 0.249312i | ||||
\(197\) | 8.91014 | − | 5.14427i | 0.634821 | − | 0.366514i | −0.147796 | − | 0.989018i | \(-0.547218\pi\) |
0.782617 | + | 0.622504i | \(0.213884\pi\) | |||||||
\(198\) | −15.7915 | − | 14.2187i | −1.12226 | − | 1.01048i | ||||
\(199\) | 0.690545 | − | 1.19606i | 0.0489514 | − | 0.0847864i | −0.840511 | − | 0.541794i | \(-0.817745\pi\) |
0.889463 | + | 0.457007i | \(0.151079\pi\) | |||||||
\(200\) | −15.9310 | + | 7.91583i | −1.12649 | + | 0.559733i | ||||
\(201\) | −9.73541 | + | 22.1392i | −0.686683 | + | 1.56158i | ||||
\(202\) | −6.76068 | − | 24.4213i | −0.475680 | − | 1.71828i | ||||
\(203\) | 12.5644 | + | 2.21544i | 0.881845 | + | 0.155493i | ||||
\(204\) | −10.7443 | + | 5.52444i | −0.752251 | + | 0.386788i | ||||
\(205\) | 4.24927 | + | 5.06408i | 0.296782 | + | 0.353691i | ||||
\(206\) | −19.6870 | − | 1.55840i | −1.37166 | − | 0.108579i | ||||
\(207\) | 9.28820 | + | 1.21849i | 0.645574 | + | 0.0846906i | ||||
\(208\) | −9.80299 | − | 10.9272i | −0.679715 | − | 0.757665i | ||||
\(209\) | −14.8411 | − | 5.40173i | −1.02658 | − | 0.373645i | ||||
\(210\) | −12.2721 | − | 9.67900i | −0.846853 | − | 0.667915i | ||||
\(211\) | −7.42731 | + | 8.85152i | −0.511317 | + | 0.609364i | −0.958505 | − | 0.285076i | \(-0.907981\pi\) |
0.447188 | + | 0.894440i | \(0.352426\pi\) | |||||||
\(212\) | 18.0072 | + | 6.21867i | 1.23674 | + | 0.427100i | ||||
\(213\) | 3.75707 | + | 3.59497i | 0.257430 | + | 0.246323i | ||||
\(214\) | 10.1373 | + | 14.2256i | 0.692971 | + | 0.972444i | ||||
\(215\) | −28.0390 | −1.91224 | ||||||||
\(216\) | −13.3428 | − | 6.16203i | −0.907860 | − | 0.419273i | ||||
\(217\) | −1.70292 | −0.115602 | ||||||||
\(218\) | −1.79300 | − | 2.51611i | −0.121437 | − | 0.170413i | ||||
\(219\) | −1.57183 | + | 0.458539i | −0.106215 | + | 0.0309852i | ||||
\(220\) | 10.9867 | − | 31.8137i | 0.740721 | − | 2.14488i | ||||
\(221\) | −8.22733 | + | 9.80495i | −0.553430 | + | 0.659552i | ||||
\(222\) | −2.52627 | + | 17.3958i | −0.169552 | + | 1.16753i | ||||
\(223\) | 2.85912 | + | 1.04063i | 0.191461 | + | 0.0696860i | 0.435971 | − | 0.899961i | \(-0.356405\pi\) |
−0.244510 | + | 0.969647i | \(0.578627\pi\) | |||||||
\(224\) | 9.91558 | + | 4.13358i | 0.662513 | + | 0.276186i | ||||
\(225\) | −5.66558 | + | 17.9977i | −0.377705 | + | 1.19984i | ||||
\(226\) | 22.3072 | + | 1.76581i | 1.48385 | + | 0.117460i | ||||
\(227\) | 0.641654 | + | 0.764693i | 0.0425881 | + | 0.0507545i | 0.786918 | − | 0.617058i | \(-0.211675\pi\) |
−0.744330 | + | 0.667812i | \(0.767231\pi\) | |||||||
\(228\) | −10.9105 | − | 0.531499i | −0.722564 | − | 0.0351994i | ||||
\(229\) | 0.846018 | + | 0.149176i | 0.0559064 | + | 0.00985781i | 0.201531 | − | 0.979482i | \(-0.435408\pi\) |
−0.145625 | + | 0.989340i | \(0.546519\pi\) | |||||||
\(230\) | 3.95871 | + | 14.2999i | 0.261030 | + | 0.942906i | ||||
\(231\) | 16.3762 | − | 1.79728i | 1.07747 | − | 0.118252i | ||||
\(232\) | 8.45541 | + | 17.0170i | 0.555125 | + | 1.11722i | ||||
\(233\) | −5.17379 | + | 8.96127i | −0.338946 | + | 0.587072i | −0.984235 | − | 0.176867i | \(-0.943404\pi\) |
0.645288 | + | 0.763939i | \(0.276737\pi\) | |||||||
\(234\) | −15.5610 | − | 0.543342i | −1.01725 | − | 0.0355194i | ||||
\(235\) | 8.16668 | − | 4.71503i | 0.532735 | − | 0.307575i | ||||
\(236\) | 9.81967 | + | 16.3764i | 0.639206 | + | 1.06601i | ||||
\(237\) | 7.99456 | + | 0.522152i | 0.519303 | + | 0.0339174i | ||||
\(238\) | 2.34931 | − | 9.06711i | 0.152283 | − | 0.587733i | ||||
\(239\) | −11.5092 | + | 4.18901i | −0.744469 | + | 0.270965i | −0.686277 | − | 0.727341i | \(-0.740756\pi\) |
−0.0581928 | + | 0.998305i | \(0.518534\pi\) | |||||||
\(240\) | 0.747844 | − | 23.2666i | 0.0482731 | − | 1.50185i | ||||
\(241\) | −2.60278 | − | 14.7611i | −0.167660 | − | 0.950846i | −0.946279 | − | 0.323350i | \(-0.895191\pi\) |
0.778620 | − | 0.627496i | \(-0.215920\pi\) | |||||||
\(242\) | 8.56771 | + | 17.9836i | 0.550753 | + | 1.15603i | ||||
\(243\) | −14.5221 | + | 5.66649i | −0.931592 | + | 0.363505i | ||||
\(244\) | −13.2845 | − | 10.7776i | −0.850455 | − | 0.689966i | ||||
\(245\) | −11.2291 | + | 1.98000i | −0.717404 | + | 0.126498i | ||||
\(246\) | −4.71856 | + | 0.980353i | −0.300844 | + | 0.0625050i | ||||
\(247\) | −10.8748 | + | 3.95809i | −0.691944 | + | 0.251847i | ||||
\(248\) | −1.50587 | − | 2.04088i | −0.0956228 | − | 0.129596i | ||||
\(249\) | −0.243930 | + | 3.73476i | −0.0154584 | + | 0.236681i | ||||
\(250\) | −6.09919 | + | 0.584489i | −0.385747 | + | 0.0369663i | ||||
\(251\) | −13.8356 | + | 7.98801i | −0.873298 | + | 0.504199i | −0.868443 | − | 0.495789i | \(-0.834879\pi\) |
−0.00485525 | + | 0.999988i | \(0.501545\pi\) | |||||||
\(252\) | 10.4513 | − | 4.53877i | 0.658372 | − | 0.285916i | ||||
\(253\) | −13.5444 | − | 7.81986i | −0.851528 | − | 0.491630i | ||||
\(254\) | −13.3134 | − | 6.07457i | −0.835356 | − | 0.381152i | ||||
\(255\) | −20.1754 | + | 2.21425i | −1.26343 | + | 0.138661i | ||||
\(256\) | 3.81430 | + | 15.5387i | 0.238394 | + | 0.971169i | ||||
\(257\) | −1.36142 | + | 7.72098i | −0.0849229 | + | 0.481622i | 0.912450 | + | 0.409187i | \(0.134188\pi\) |
−0.997373 | + | 0.0724341i | \(0.976923\pi\) | |||||||
\(258\) | 9.67916 | − | 18.0041i | 0.602598 | − | 1.12088i | ||||
\(259\) | −8.76002 | − | 10.4398i | −0.544321 | − | 0.648697i | ||||
\(260\) | −8.81723 | − | 23.0322i | −0.546821 | − | 1.42840i | ||||
\(261\) | 19.2245 | + | 6.05177i | 1.18997 | + | 0.374595i | ||||
\(262\) | −10.4724 | − | 7.20447i | −0.646986 | − | 0.445094i | ||||
\(263\) | −19.3707 | − | 7.05037i | −1.19445 | − | 0.434744i | −0.333166 | − | 0.942868i | \(-0.608117\pi\) |
−0.861284 | + | 0.508124i | \(0.830339\pi\) | |||||||
\(264\) | 16.6352 | + | 18.0368i | 1.02383 | + | 1.11009i | ||||
\(265\) | 24.5173 | + | 20.5724i | 1.50608 | + | 1.26375i | ||||
\(266\) | 5.93858 | − | 6.03766i | 0.364118 | − | 0.370193i | ||||
\(267\) | 26.0623 | − | 7.60293i | 1.59498 | − | 0.465292i | ||||
\(268\) | 13.5613 | − | 24.4128i | 0.828386 | − | 1.49125i | ||||
\(269\) | − | 15.9724i | − | 0.973852i | −0.873443 | − | 0.486926i | \(-0.838118\pi\) | ||
0.873443 | − | 0.486926i | \(-0.161882\pi\) | |||||||
\(270\) | −17.2331 | − | 17.6820i | −1.04877 | − | 1.07609i | ||||
\(271\) | 7.19443 | 0.437031 | 0.218515 | − | 0.975834i | \(-0.429879\pi\) | ||||
0.218515 | + | 0.975834i | \(0.429879\pi\) | |||||||
\(272\) | 12.9440 | − | 5.20239i | 0.784847 | − | 0.315441i | ||||
\(273\) | 8.34566 | − | 8.72199i | 0.505102 | − | 0.527879i | ||||
\(274\) | 16.9938 | + | 16.7149i | 1.02663 | + | 1.00979i | ||||
\(275\) | 20.2485 | − | 24.1313i | 1.22103 | − | 1.45517i | ||||
\(276\) | −10.5486 | − | 2.39445i | −0.634953 | − | 0.144129i | ||||
\(277\) | −6.45750 | + | 17.7418i | −0.387993 | + | 1.06600i | 0.579910 | + | 0.814680i | \(0.303088\pi\) |
−0.967903 | + | 0.251322i | \(0.919135\pi\) | |||||||
\(278\) | −12.8372 | − | 8.83135i | −0.769924 | − | 0.529669i | ||||
\(279\) | −2.66730 | − | 0.349913i | −0.159687 | − | 0.0209488i | ||||
\(280\) | 13.0743 | + | 12.4410i | 0.781340 | + | 0.743490i | ||||
\(281\) | −14.1133 | + | 11.8425i | −0.841932 | + | 0.706465i | −0.957997 | − | 0.286777i | \(-0.907416\pi\) |
0.116066 | + | 0.993242i | \(0.462972\pi\) | |||||||
\(282\) | 0.208396 | + | 6.87154i | 0.0124098 | + | 0.409194i | ||||
\(283\) | −8.62324 | − | 1.52051i | −0.512599 | − | 0.0903850i | −0.0886349 | − | 0.996064i | \(-0.528250\pi\) |
−0.423964 | + | 0.905679i | \(0.639362\pi\) | |||||||
\(284\) | −3.93511 | − | 4.53514i | −0.233506 | − | 0.269111i | ||||
\(285\) | −16.7988 | − | 7.38704i | −0.995073 | − | 0.437571i | ||||
\(286\) | 23.6498 | + | 10.7908i | 1.39844 | + | 0.638074i | ||||
\(287\) | 1.86818 | − | 3.23578i | 0.110275 | − | 0.191002i | ||||
\(288\) | 14.6815 | + | 8.51192i | 0.865117 | + | 0.501570i | ||||
\(289\) | 2.41836 | + | 4.18872i | 0.142256 | + | 0.246395i | ||||
\(290\) | 3.04524 | + | 31.7773i | 0.178823 | + | 1.86603i | ||||
\(291\) | 1.68702 | + | 3.41897i | 0.0988950 | + | 0.200423i | ||||
\(292\) | 1.85624 | − | 0.359067i | 0.108628 | − | 0.0210128i | ||||
\(293\) | 4.67724 | + | 12.8506i | 0.273247 | + | 0.750741i | 0.998087 | + | 0.0618236i | \(0.0196916\pi\) |
−0.724840 | + | 0.688918i | \(0.758086\pi\) | |||||||
\(294\) | 2.60497 | − | 7.89384i | 0.151925 | − | 0.460378i | ||||
\(295\) | 5.57047 | + | 31.5917i | 0.324325 | + | 1.83934i | ||||
\(296\) | 4.76528 | − | 19.7303i | 0.276976 | − | 1.14680i | ||||
\(297\) | 26.0195 | + | 0.549857i | 1.50980 | + | 0.0319060i | ||||
\(298\) | 13.8057 | − | 6.57727i | 0.799742 | − | 0.381011i | ||||
\(299\) | −11.2858 | + | 1.98999i | −0.652675 | + | 0.115084i | ||||
\(300\) | 8.43904 | − | 20.0865i | 0.487228 | − | 1.15970i | ||||
\(301\) | 5.42020 | + | 14.8919i | 0.312415 | + | 0.858353i | ||||
\(302\) | −0.226792 | + | 0.875301i | −0.0130504 | + | 0.0503679i | ||||
\(303\) | 25.8085 | + | 17.2361i | 1.48266 | + | 0.990188i | ||||
\(304\) | 12.4873 | + | 1.77812i | 0.716196 | + | 0.101982i | ||||
\(305\) | −14.3695 | − | 24.8886i | −0.822792 | − | 1.42512i | ||||
\(306\) | 5.54285 | − | 13.7192i | 0.316864 | − | 0.784274i | ||||
\(307\) | 21.3532 | + | 12.3283i | 1.21869 | + | 0.703612i | 0.964638 | − | 0.263578i | \(-0.0849028\pi\) |
0.254053 | + | 0.967190i | \(0.418236\pi\) | |||||||
\(308\) | −19.0205 | + | 0.314717i | −1.08379 | + | 0.0179327i | ||||
\(309\) | 19.5022 | − | 14.3065i | 1.10944 | − | 0.813867i | ||||
\(310\) | −1.13683 | − | 4.10650i | −0.0645674 | − | 0.233234i | ||||
\(311\) | 0.221479 | − | 1.25607i | 0.0125589 | − | 0.0712250i | −0.977884 | − | 0.209147i | \(-0.932931\pi\) |
0.990443 | + | 0.137922i | \(0.0440424\pi\) | |||||||
\(312\) | 17.8329 | + | 2.28918i | 1.00959 | + | 0.129599i | ||||
\(313\) | 15.3438 | − | 12.8749i | 0.867280 | − | 0.727735i | −0.0962433 | − | 0.995358i | \(-0.530683\pi\) |
0.963524 | + | 0.267623i | \(0.0862382\pi\) | |||||||
\(314\) | −1.02958 | + | 13.0065i | −0.0581026 | + | 0.734001i | ||||
\(315\) | 19.1238 | − | 0.843740i | 1.07750 | − | 0.0475393i | ||||
\(316\) | −9.13578 | − | 1.45548i | −0.513928 | − | 0.0818769i | ||||
\(317\) | −2.05364 | + | 5.64232i | −0.115344 | + | 0.316904i | −0.983909 | − | 0.178671i | \(-0.942820\pi\) |
0.868565 | + | 0.495575i | \(0.165043\pi\) | |||||||
\(318\) | −21.6732 | + | 8.64107i | −1.21537 | + | 0.484567i | ||||
\(319\) | −25.7762 | − | 21.6288i | −1.44319 | − | 1.21098i | ||||
\(320\) | −3.34853 | + | 26.6704i | −0.187189 | + | 1.49092i | ||||
\(321\) | −20.7820 | − | 5.08027i | −1.15994 | − | 0.283553i | ||||
\(322\) | 6.82960 | − | 4.86682i | 0.380598 | − | 0.271217i | ||||
\(323\) | − | 10.9975i | − | 0.611916i | ||||||
\(324\) | 17.3027 | − | 4.96161i | 0.961260 | − | 0.275645i | ||||
\(325\) | − | 23.0823i | − | 1.28038i | ||||||
\(326\) | −6.86144 | − | 9.62863i | −0.380020 | − | 0.533280i | ||||
\(327\) | 3.67575 | + | 0.898558i | 0.203269 | + | 0.0496904i | ||||
\(328\) | 5.52996 | − | 0.622426i | 0.305341 | − | 0.0343677i | ||||
\(329\) | −4.08291 | − | 3.42597i | −0.225098 | − | 0.188880i | ||||
\(330\) | 15.2664 | + | 38.2905i | 0.840386 | + | 2.10782i | ||||
\(331\) | 6.69009 | − | 18.3809i | 0.367721 | − | 1.01030i | −0.608505 | − | 0.793550i | \(-0.708231\pi\) |
0.976226 | − | 0.216755i | \(-0.0695472\pi\) | |||||||
\(332\) | 0.679944 | − | 4.26790i | 0.0373168 | − | 0.234231i | ||||
\(333\) | −11.5758 | − | 18.1520i | −0.634348 | − | 0.994722i | ||||
\(334\) | −8.78905 | − | 0.695731i | −0.480916 | − | 0.0380687i | ||||
\(335\) | 35.9400 | − | 30.1573i | 1.96361 | − | 1.64767i | ||||
\(336\) | −12.5018 | + | 4.10046i | −0.682027 | + | 0.223699i | ||||
\(337\) | 3.82769 | − | 21.7079i | 0.208508 | − | 1.18251i | −0.683316 | − | 0.730123i | \(-0.739463\pi\) |
0.891824 | − | 0.452383i | \(-0.149426\pi\) | |||||||
\(338\) | 0.639077 | − | 0.176919i | 0.0347612 | − | 0.00962313i | ||||
\(339\) | −22.0978 | + | 16.2105i | −1.20019 | + | 0.880435i | ||||
\(340\) | 23.4332 | − | 0.387732i | 1.27085 | − | 0.0210277i | ||||
\(341\) | 3.88955 | + | 2.24563i | 0.210631 | + | 0.121608i | ||||
\(342\) | 10.5423 | − | 8.23660i | 0.570061 | − | 0.445384i | ||||
\(343\) | 9.86900 | + | 17.0936i | 0.532876 | + | 0.922968i | ||||
\(344\) | −13.0543 | + | 19.6646i | −0.703840 | + | 1.06024i | ||||
\(345\) | −15.1121 | − | 10.0926i | −0.813609 | − | 0.543367i | ||||
\(346\) | −12.1990 | − | 3.16080i | −0.655825 | − | 0.169926i | ||||
\(347\) | 0.0110975 | + | 0.0304900i | 0.000595743 | + | 0.00163679i | 0.939990 | − | 0.341202i | \(-0.110834\pi\) |
−0.939394 | + | 0.342838i | \(0.888612\pi\) | |||||||
\(348\) | −21.4557 | − | 9.01429i | −1.15015 | − | 0.483216i | ||||
\(349\) | −32.0493 | + | 5.65116i | −1.71556 | + | 0.302500i | −0.943087 | − | 0.332546i | \(-0.892092\pi\) |
−0.772474 | + | 0.635046i | \(0.780981\pi\) | |||||||
\(350\) | 7.26501 | + | 15.2492i | 0.388331 | + | 0.815106i | ||||
\(351\) | 14.8641 | − | 11.9465i | 0.793387 | − | 0.637657i | ||||
\(352\) | −17.1968 | − | 22.5170i | −0.916591 | − | 1.20016i | ||||
\(353\) | −0.185474 | − | 1.05188i | −0.00987180 | − | 0.0559857i | 0.979474 | − | 0.201571i | \(-0.0646046\pi\) |
−0.989346 | + | 0.145585i | \(0.953494\pi\) | |||||||
\(354\) | −22.2082 | − | 7.32873i | −1.18036 | − | 0.389518i | ||||
\(355\) | −3.45005 | − | 9.47895i | −0.183110 | − | 0.503090i | ||||
\(356\) | −30.7779 | + | 5.95361i | −1.63123 | + | 0.315541i | ||||
\(357\) | 5.07612 | + | 10.2874i | 0.268656 | + | 0.544467i | ||||
\(358\) | 20.3251 | − | 1.94777i | 1.07421 | − | 0.102943i | ||||
\(359\) | 5.68242 | + | 9.84224i | 0.299907 | + | 0.519453i | 0.976114 | − | 0.217258i | \(-0.0697111\pi\) |
−0.676208 | + | 0.736711i | \(0.736378\pi\) | |||||||
\(360\) | 17.9221 | + | 22.1729i | 0.944578 | + | 1.16862i | ||||
\(361\) | −4.52830 | + | 7.84324i | −0.238331 | + | 0.412802i | ||||
\(362\) | 2.84572 | − | 6.23686i | 0.149568 | − | 0.327802i | ||||
\(363\) | −22.3333 | − | 9.82077i | −1.17219 | − | 0.515457i | ||||
\(364\) | −10.5283 | + | 9.13529i | −0.551830 | + | 0.478819i | ||||
\(365\) | 3.12802 | + | 0.551554i | 0.163728 | + | 0.0288697i | ||||
\(366\) | 20.9416 | − | 0.635103i | 1.09463 | − | 0.0331974i | ||||
\(367\) | 6.59453 | − | 5.53346i | 0.344231 | − | 0.288844i | −0.454237 | − | 0.890881i | \(-0.650088\pi\) |
0.798469 | + | 0.602036i | \(0.205644\pi\) | |||||||
\(368\) | 11.8720 | + | 3.88132i | 0.618872 | + | 0.202328i | ||||
\(369\) | 3.59103 | − | 4.68437i | 0.186942 | − | 0.243858i | ||||
\(370\) | 19.3271 | − | 28.0937i | 1.00477 | − | 1.46052i | ||||
\(371\) | 6.18687 | − | 16.9983i | 0.321206 | − | 0.882507i | ||||
\(372\) | 3.02926 | + | 0.687615i | 0.157060 | + | 0.0356512i | ||||
\(373\) | 24.5912 | − | 29.3067i | 1.27328 | − | 1.51744i | 0.530966 | − | 0.847393i | \(-0.321829\pi\) |
0.742318 | − | 0.670048i | \(-0.233726\pi\) | |||||||
\(374\) | −17.3227 | + | 17.6117i | −0.895737 | + | 0.910681i | ||||
\(375\) | 5.18799 | − | 5.42193i | 0.267907 | − | 0.279988i | ||||
\(376\) | 0.495415 | − | 7.92275i | 0.0255491 | − | 0.408584i | ||||
\(377\) | −24.6557 | −1.26983 | ||||||||
\(378\) | −6.05982 | + | 12.5708i | −0.311684 | + | 0.646572i | ||||
\(379\) | 22.1132i | 1.13588i | 0.823071 | + | 0.567939i | \(0.192259\pi\) | ||||
−0.823071 | + | 0.567939i | \(0.807741\pi\) | |||||||
\(380\) | 18.5240 | + | 10.2900i | 0.950260 | + | 0.527867i | ||||
\(381\) | 17.2055 | − | 5.01921i | 0.881462 | − | 0.257142i | ||||
\(382\) | −26.4958 | − | 26.0610i | −1.35564 | − | 1.33340i | ||||
\(383\) | −1.25391 | − | 1.05215i | −0.0640717 | − | 0.0537626i | 0.610189 | − | 0.792256i | \(-0.291093\pi\) |
−0.674261 | + | 0.738493i | \(0.735538\pi\) | |||||||
\(384\) | −15.9694 | − | 11.3569i | −0.814935 | − | 0.579553i | ||||
\(385\) | −30.0312 | − | 10.9305i | −1.53053 | − | 0.557069i | ||||
\(386\) | 3.26655 | − | 4.74824i | 0.166263 | − | 0.241679i | ||||
\(387\) | 5.42975 | + | 24.4390i | 0.276010 | + | 1.24231i | ||||
\(388\) | −1.57392 | − | 4.11136i | −0.0799036 | − | 0.208723i | ||||
\(389\) | 7.37158 | + | 8.78511i | 0.373754 | + | 0.445423i | 0.919832 | − | 0.392311i | \(-0.128324\pi\) |
−0.546079 | + | 0.837734i | \(0.683880\pi\) | |||||||
\(390\) | 26.6040 | + | 14.3026i | 1.34715 | + | 0.724240i | ||||
\(391\) | 1.89109 | − | 10.7249i | 0.0956363 | − | 0.542380i | ||||
\(392\) | −3.83939 | + | 8.79719i | −0.193918 | + | 0.444325i | ||||
\(393\) | 15.4751 | − | 1.69838i | 0.780615 | − | 0.0856722i | ||||
\(394\) | 6.03988 | − | 13.2374i | 0.304285 | − | 0.666889i | ||||
\(395\) | −13.4594 | − | 7.77079i | −0.677216 | − | 0.390991i | ||||
\(396\) | −29.8567 | − | 3.41536i | −1.50035 | − | 0.171628i | ||||
\(397\) | −2.58188 | + | 1.49065i | −0.129581 | + | 0.0748137i | −0.563389 | − | 0.826192i | \(-0.690503\pi\) |
0.433808 | + | 0.901005i | \(0.357170\pi\) | |||||||
\(398\) | −0.186319 | − | 1.94425i | −0.00933930 | − | 0.0974564i | ||||
\(399\) | −0.675996 | + | 10.3500i | −0.0338421 | + | 0.518150i | ||||
\(400\) | −11.8512 | + | 22.1915i | −0.592561 | + | 1.10958i | ||||
\(401\) | −8.85877 | + | 3.22433i | −0.442386 | + | 0.161015i | −0.553603 | − | 0.832781i | \(-0.686747\pi\) |
0.111217 | + | 0.993796i | \(0.464525\pi\) | |||||||
\(402\) | 6.95761 | + | 33.4878i | 0.347014 | + | 1.67022i | ||||
\(403\) | 3.24096 | − | 0.571468i | 0.161443 | − | 0.0284668i | ||||
\(404\) | −27.8292 | − | 22.5776i | −1.38456 | − | 1.12328i | ||||
\(405\) | 30.1271 | + | 2.60797i | 1.49703 | + | 0.129591i | ||||
\(406\) | 16.2887 | − | 7.76023i | 0.808394 | − | 0.385134i | ||||
\(407\) | 6.24142 | + | 35.3969i | 0.309376 | + | 1.75456i | ||||
\(408\) | −7.84028 | + | 15.1805i | −0.388152 | + | 0.751549i | ||||
\(409\) | −24.0695 | + | 8.76058i | −1.19016 | + | 0.433183i | −0.859779 | − | 0.510665i | \(-0.829399\pi\) |
−0.330380 | + | 0.943848i | \(0.607177\pi\) | |||||||
\(410\) | 9.05008 | + | 2.34490i | 0.446952 | + | 0.115806i | ||||
\(411\) | −29.1316 | − | 1.90268i | −1.43695 | − | 0.0938523i | ||||
\(412\) | −23.9527 | + | 14.3626i | −1.18006 | + | 0.707595i | ||||
\(413\) | 15.7019 | − | 9.06552i | 0.772642 | − | 0.446085i | ||||
\(414\) | 11.6973 | − | 6.21962i | 0.574891 | − | 0.305678i | ||||
\(415\) | 3.63022 | − | 6.28773i | 0.178201 | − | 0.308652i | ||||
\(416\) | −20.2583 | − | 4.53945i | −0.993244 | − | 0.222565i | ||||
\(417\) | 18.9696 | − | 2.08191i | 0.928945 | − | 0.101951i | ||||
\(418\) | −21.5259 | + | 5.95913i | −1.05287 | + | 0.291470i | ||||
\(419\) | −2.41298 | − | 0.425474i | −0.117882 | − | 0.0207858i | 0.114396 | − | 0.993435i | \(-0.463507\pi\) |
−0.232278 | + | 0.972649i | \(0.574618\pi\) | |||||||
\(420\) | −22.0775 | − | 1.07550i | −1.07727 | − | 0.0524788i | ||||
\(421\) | 8.35420 | + | 9.95615i | 0.407159 | + | 0.485233i | 0.930189 | − | 0.367081i | \(-0.119643\pi\) |
−0.523030 | + | 0.852314i | \(0.675198\pi\) | |||||||
\(422\) | −1.28950 | + | 16.2901i | −0.0627720 | + | 0.792988i | ||||
\(423\) | −5.69115 | − | 6.20509i | −0.276713 | − | 0.301702i | ||||
\(424\) | 25.8427 | − | 7.61667i | 1.25503 | − | 0.369898i | ||||
\(425\) | 20.6122 | + | 7.50223i | 0.999838 | + | 0.363911i | ||||
\(426\) | 7.27749 | + | 1.05686i | 0.352595 | + | 0.0512050i | ||||
\(427\) | −10.4409 | + | 12.4430i | −0.505272 | + | 0.602160i | ||||
\(428\) | 23.3504 | + | 8.06391i | 1.12868 | + | 0.389784i | ||||
\(429\) | −30.5636 | + | 8.91608i | −1.47562 | + | 0.430472i | ||||
\(430\) | −32.2927 | + | 23.0120i | −1.55729 | + | 1.10974i | ||||
\(431\) | 26.6357 | 1.28300 | 0.641499 | − | 0.767124i | \(-0.278313\pi\) | ||||
0.641499 | + | 0.767124i | \(0.278313\pi\) | |||||||
\(432\) | −20.4242 | + | 3.85375i | −0.982661 | + | 0.185414i | ||||
\(433\) | 27.8356 | 1.33769 | 0.668846 | − | 0.743401i | \(-0.266788\pi\) | ||||
0.668846 | + | 0.743401i | \(0.266788\pi\) | |||||||
\(434\) | −1.96126 | + | 1.39761i | −0.0941435 | + | 0.0670874i | ||||
\(435\) | −28.2488 | − | 27.0299i | −1.35442 | − | 1.29599i | ||||
\(436\) | −4.13003 | − | 1.42628i | −0.197792 | − | 0.0683064i | ||||
\(437\) | 6.32923 | − | 7.54288i | 0.302768 | − | 0.360825i | ||||
\(438\) | −1.43396 | + | 1.81813i | −0.0685173 | + | 0.0868736i | ||||
\(439\) | 15.2198 | + | 5.53956i | 0.726402 | + | 0.264389i | 0.678641 | − | 0.734470i | \(-0.262569\pi\) |
0.0477612 | + | 0.998859i | \(0.484791\pi\) | |||||||
\(440\) | −13.4565 | − | 45.6569i | −0.641515 | − | 2.17661i | ||||
\(441\) | 3.90032 | + | 9.40401i | 0.185729 | + | 0.447810i | ||||
\(442\) | −1.42840 | + | 18.0447i | −0.0679420 | + | 0.858300i | ||||
\(443\) | 11.8910 | + | 14.1711i | 0.564957 | + | 0.673290i | 0.970588 | − | 0.240747i | \(-0.0773925\pi\) |
−0.405631 | + | 0.914037i | \(0.632948\pi\) | |||||||
\(444\) | 11.3675 | + | 22.1082i | 0.539475 | + | 1.04921i | ||||
\(445\) | −51.8650 | − | 9.14520i | −2.45864 | − | 0.433524i | ||||
\(446\) | 4.14693 | − | 1.14802i | 0.196363 | − | 0.0543601i | ||||
\(447\) | −7.53923 | + | 17.1449i | −0.356593 | + | 0.810924i | ||||
\(448\) | 14.8123 | − | 3.37720i | 0.699817 | − | 0.159558i | ||||
\(449\) | 3.76662 | − | 6.52398i | 0.177758 | − | 0.307886i | −0.763354 | − | 0.645980i | \(-0.776449\pi\) |
0.941112 | + | 0.338094i | \(0.109782\pi\) | |||||||
\(450\) | 8.24587 | + | 25.3779i | 0.388714 | + | 1.19632i | ||||
\(451\) | −8.53403 | + | 4.92713i | −0.401852 | + | 0.232009i | ||||
\(452\) | 27.1405 | − | 16.2741i | 1.27658 | − | 0.765471i | ||||
\(453\) | −0.490027 | − | 0.993103i | −0.0230235 | − | 0.0466600i | ||||
\(454\) | 1.36659 | + | 0.354087i | 0.0641373 | + | 0.0166181i | ||||
\(455\) | −22.0052 | + | 8.00925i | −1.03162 | + | 0.375479i | ||||
\(456\) | −13.0019 | + | 8.34226i | −0.608868 | + | 0.390662i | ||||
\(457\) | −2.46966 | − | 14.0062i | −0.115526 | − | 0.655180i | −0.986488 | − | 0.163831i | \(-0.947615\pi\) |
0.870962 | − | 0.491350i | \(-0.163496\pi\) | |||||||
\(458\) | 1.09679 | − | 0.522533i | 0.0512499 | − | 0.0244164i | ||||
\(459\) | 5.83693 | + | 17.1563i | 0.272445 | + | 0.800788i | ||||
\(460\) | 16.2954 | + | 13.2203i | 0.759776 | + | 0.616399i | ||||
\(461\) | −12.3225 | + | 2.17278i | −0.573914 | + | 0.101197i | −0.453070 | − | 0.891475i | \(-0.649671\pi\) |
−0.120844 | + | 0.992672i | \(0.538560\pi\) | |||||||
\(462\) | 17.3855 | − | 15.5101i | 0.808845 | − | 0.721594i | ||||
\(463\) | −5.11858 | + | 1.86301i | −0.237881 | + | 0.0865815i | −0.458210 | − | 0.888844i | \(-0.651509\pi\) |
0.220329 | + | 0.975426i | \(0.429287\pi\) | |||||||
\(464\) | 23.7042 | + | 12.6591i | 1.10044 | + | 0.587682i | ||||
\(465\) | 4.33976 | + | 2.89830i | 0.201251 | + | 0.134405i | ||||
\(466\) | 1.39596 | + | 14.5670i | 0.0646666 | + | 0.674801i | ||||
\(467\) | −6.32947 | + | 3.65432i | −0.292893 | + | 0.169102i | −0.639246 | − | 0.769003i | \(-0.720753\pi\) |
0.346353 | + | 0.938104i | \(0.387420\pi\) | |||||||
\(468\) | −18.3676 | + | 12.1454i | −0.849044 | + | 0.561420i | ||||
\(469\) | −22.9645 | − | 13.2585i | −1.06040 | − | 0.612222i | ||||
\(470\) | 5.53591 | − | 12.1328i | 0.255353 | − | 0.559646i | ||||
\(471\) | −9.45179 | − | 12.8844i | −0.435515 | − | 0.593683i | ||||
\(472\) | 24.7497 | + | 10.8016i | 1.13920 | + | 0.497184i | ||||
\(473\) | 7.25787 | − | 41.1614i | 0.333717 | − | 1.89260i | ||||
\(474\) | 9.63593 | − | 5.95989i | 0.442593 | − | 0.273747i | ||||
\(475\) | 12.7482 | + | 15.1927i | 0.584926 | + | 0.697088i | ||||
\(476\) | −4.73580 | − | 12.3708i | −0.217065 | − | 0.567013i | ||||
\(477\) | 13.1834 | − | 25.3533i | 0.603624 | − | 1.16085i | ||||
\(478\) | −9.81725 | + | 14.2703i | −0.449031 | + | 0.652708i | ||||
\(479\) | 6.51285 | + | 2.37048i | 0.297580 | + | 0.108310i | 0.486495 | − | 0.873683i | \(-0.338275\pi\) |
−0.188916 | + | 0.981993i | \(0.560497\pi\) | |||||||
\(480\) | −18.2339 | − | 27.4100i | −0.832262 | − | 1.25109i | ||||
\(481\) | 20.1753 | + | 16.9291i | 0.919914 | + | 0.771900i | ||||
\(482\) | −15.1123 | − | 14.8643i | −0.688346 | − | 0.677051i | ||||
\(483\) | −2.43899 | + | 9.97724i | −0.110978 | + | 0.453980i | ||||
\(484\) | 24.6269 | + | 13.6802i | 1.11940 | + | 0.621826i | ||||
\(485\) | − | 7.39586i | − | 0.335829i | ||||||
\(486\) | −12.0746 | + | 18.4446i | −0.547715 | + | 0.836665i | ||||
\(487\) | 29.6823 | 1.34503 | 0.672517 | − | 0.740081i | \(-0.265213\pi\) | ||||
0.672517 | + | 0.740081i | \(0.265213\pi\) | |||||||
\(488\) | −24.1452 | − | 1.50982i | −1.09300 | − | 0.0683462i | ||||
\(489\) | 14.0663 | + | 3.43859i | 0.636100 | + | 0.155498i | ||||
\(490\) | −11.3077 | + | 11.4963i | −0.510828 | + | 0.519350i | ||||
\(491\) | 5.65695 | − | 6.74169i | 0.255295 | − | 0.304248i | −0.623140 | − | 0.782110i | \(-0.714144\pi\) |
0.878435 | + | 0.477862i | \(0.158588\pi\) | |||||||
\(492\) | −4.62980 | + | 5.00167i | −0.208728 | + | 0.225493i | ||||
\(493\) | 8.01361 | − | 22.0172i | 0.360915 | − | 0.991606i | ||||
\(494\) | −9.27606 | + | 13.4836i | −0.417350 | + | 0.606657i | ||||
\(495\) | −44.7923 | − | 23.2913i | −2.01326 | − | 1.04687i | ||||
\(496\) | −3.40930 | − | 1.11460i | −0.153082 | − | 0.0500471i | ||||
\(497\) | −4.36747 | + | 3.66474i | −0.195908 | + | 0.164386i | ||||
\(498\) | 2.78424 | + | 4.50154i | 0.124765 | + | 0.201719i | ||||
\(499\) | 14.6580 | + | 2.58460i | 0.656181 | + | 0.115702i | 0.491819 | − | 0.870698i | \(-0.336332\pi\) |
0.164362 | + | 0.986400i | \(0.447443\pi\) | |||||||
\(500\) | −6.54478 | + | 5.67886i | −0.292691 | + | 0.253966i | ||||
\(501\) | 8.70654 | − | 6.38697i | 0.388980 | − | 0.285349i | ||||
\(502\) | −9.37872 | + | 20.5550i | −0.418593 | + | 0.917413i | ||||
\(503\) | −5.25851 | + | 9.10801i | −0.234465 | + | 0.406106i | −0.959117 | − | 0.283009i | \(-0.908667\pi\) |
0.724652 | + | 0.689115i | \(0.242001\pi\) | |||||||
\(504\) | 8.31183 | − | 13.8049i | 0.370238 | − | 0.614919i | ||||
\(505\) | −30.1020 | − | 52.1381i | −1.33952 | − | 2.32012i | ||||
\(506\) | −22.0170 | + | 2.10990i | −0.978776 | + | 0.0937967i | ||||
\(507\) | −0.451049 | + | 0.675377i | −0.0200318 | + | 0.0299945i | ||||
\(508\) | −20.3186 | + | 3.93038i | −0.901492 | + | 0.174382i | ||||
\(509\) | 8.68462 | + | 23.8608i | 0.384939 | + | 1.05761i | 0.969249 | + | 0.246081i | \(0.0791430\pi\) |
−0.584310 | + | 0.811531i | \(0.698635\pi\) | |||||||
\(510\) | −21.4189 | + | 19.1084i | −0.948445 | + | 0.846136i | ||||
\(511\) | −0.311738 | − | 1.76795i | −0.0137905 | − | 0.0782096i | ||||
\(512\) | 17.1458 | + | 14.7656i | 0.757744 | + | 0.652552i | ||||
\(513\) | −3.18553 | + | 16.0725i | −0.140645 | + | 0.709617i | ||||
\(514\) | 4.76877 | + | 10.0096i | 0.210341 | + | 0.441506i | ||||
\(515\) | −46.2072 | + | 8.14757i | −2.03613 | + | 0.359025i | ||||
\(516\) | −3.62866 | − | 28.6792i | −0.159743 | − | 1.26253i | ||||
\(517\) | 4.80776 | + | 13.2092i | 0.211445 | + | 0.580941i | ||||
\(518\) | −18.6571 | − | 4.83409i | −0.819744 | − | 0.212398i | ||||
\(519\) | 13.8409 | − | 6.82949i | 0.607546 | − | 0.299782i | ||||
\(520\) | −29.0577 | − | 19.2899i | −1.27427 | − | 0.845918i | ||||
\(521\) | −5.54892 | − | 9.61101i | −0.243103 | − | 0.421066i | 0.718494 | − | 0.695533i | \(-0.244832\pi\) |
−0.961596 | + | 0.274467i | \(0.911498\pi\) | |||||||
\(522\) | 27.1077 | − | 8.80795i | 1.18647 | − | 0.385514i | ||||
\(523\) | 21.2339 | + | 12.2594i | 0.928493 | + | 0.536066i | 0.886335 | − | 0.463045i | \(-0.153243\pi\) |
0.0421586 | + | 0.999111i | \(0.486577\pi\) | |||||||
\(524\) | −17.9739 | + | 0.297401i | −0.785194 | + | 0.0129920i | ||||
\(525\) | −18.9376 | − | 8.32755i | −0.826503 | − | 0.363444i | ||||
\(526\) | −28.0957 | + | 7.77789i | −1.22503 | + | 0.339132i | ||||
\(527\) | −0.543064 | + | 3.07987i | −0.0236563 | + | 0.134161i | ||||
\(528\) | 33.9620 | + | 7.12038i | 1.47800 | + | 0.309875i | ||||
\(529\) | −10.1496 | + | 8.51656i | −0.441289 | + | 0.370285i | ||||
\(530\) | 45.1208 | + | 3.57171i | 1.95992 | + | 0.155145i | ||||
\(531\) | 26.4569 | − | 10.9730i | 1.14813 | − | 0.476188i | ||||
\(532\) | 1.88431 | − | 11.8275i | 0.0816951 | − | 0.512787i | ||||
\(533\) | −2.46961 | + | 6.78519i | −0.106971 | + | 0.293899i | ||||
\(534\) | 23.7762 | − | 30.1460i | 1.02890 | − | 1.30455i | ||||
\(535\) | 31.7922 | + | 26.6768i | 1.37450 | + | 1.15334i | ||||
\(536\) | −4.41738 | − | 39.2463i | −0.190802 | − | 1.69518i | ||||
\(537\) | −17.2886 | + | 18.0682i | −0.746058 | + | 0.779700i | ||||
\(538\) | −13.1088 | − | 18.3955i | −0.565158 | − | 0.793085i | ||||
\(539\) | − | 16.9970i | − | 0.732112i | ||||||
\(540\) | −34.3593 | − | 6.22102i | −1.47859 | − | 0.267710i | ||||
\(541\) | − | 10.1117i | − | 0.434737i | −0.976090 | − | 0.217369i | \(-0.930253\pi\) | ||
0.976090 | − | 0.217369i | \(-0.0697474\pi\) | |||||||
\(542\) | 8.28587 | − | 5.90458i | 0.355909 | − | 0.253623i | ||||
\(543\) | 2.35132 | + | 8.06015i | 0.100905 | + | 0.345894i | ||||
\(544\) | 10.6380 | − | 16.6150i | 0.456102 | − | 0.712361i | ||||
\(545\) | −5.62314 | − | 4.71838i | −0.240869 | − | 0.202113i | ||||
\(546\) | 2.45348 | − | 16.8946i | 0.104999 | − | 0.723021i | ||||
\(547\) | −9.82775 | + | 27.0015i | −0.420204 | + | 1.15450i | 0.531386 | + | 0.847130i | \(0.321672\pi\) |
−0.951590 | + | 0.307371i | \(0.900551\pi\) | |||||||
\(548\) | 33.2901 | + | 5.30364i | 1.42208 | + | 0.226560i | ||||
\(549\) | −18.9105 | + | 17.3442i | −0.807081 | + | 0.740234i | ||||
\(550\) | 3.51548 | − | 44.4104i | 0.149900 | − | 1.89367i | ||||
\(551\) | 16.2283 | − | 13.6172i | 0.691348 | − | 0.580110i | ||||
\(552\) | −14.1141 | + | 5.89972i | −0.600735 | + | 0.251109i | ||||
\(553\) | −1.52534 | + | 8.65063i | −0.0648640 | + | 0.367862i | ||||
\(554\) | 7.12384 | + | 25.7331i | 0.302663 | + | 1.09330i | ||||
\(555\) | 4.55617 | + | 41.5143i | 0.193399 | + | 1.76218i | ||||
\(556\) | −22.0327 | + | 0.364558i | −0.934395 | + | 0.0154607i | ||||
\(557\) | −10.4290 | − | 6.02119i | −0.441891 | − | 0.255126i | 0.262508 | − | 0.964930i | \(-0.415450\pi\) |
−0.704400 | + | 0.709804i | \(0.748784\pi\) | |||||||
\(558\) | −3.35912 | + | 1.78609i | −0.142203 | + | 0.0756114i | ||||
\(559\) | −15.3130 | − | 26.5230i | −0.647673 | − | 1.12180i | ||||
\(560\) | 25.2683 | + | 3.59806i | 1.06778 | + | 0.152046i | ||||
\(561\) | 1.97187 | − | 30.1908i | 0.0832523 | − | 1.27466i | ||||
\(562\) | −6.53511 | + | 25.2221i | −0.275667 | + | 1.06393i | ||||
\(563\) | 1.52700 | + | 4.19539i | 0.0643553 | + | 0.176815i | 0.967702 | − | 0.252096i | \(-0.0811198\pi\) |
−0.903347 | + | 0.428910i | \(0.858898\pi\) | |||||||
\(564\) | 5.87959 | + | 7.74296i | 0.247575 | + | 0.326038i | ||||
\(565\) | 52.3569 | − | 9.23194i | 2.20267 | − | 0.388390i | ||||
\(566\) | −11.1793 | + | 5.32604i | −0.469903 | + | 0.223870i | ||||
\(567\) | −4.43873 | − | 16.5051i | −0.186409 | − | 0.693148i | ||||
\(568\) | −8.25414 | − | 1.99354i | −0.346336 | − | 0.0836473i | ||||
\(569\) | 5.31792 | + | 30.1594i | 0.222939 | + | 1.26435i | 0.866586 | + | 0.499027i | \(0.166309\pi\) |
−0.643648 | + | 0.765322i | \(0.722580\pi\) | |||||||
\(570\) | −25.4099 | + | 5.27930i | −1.06430 | + | 0.221125i | ||||
\(571\) | −4.43557 | − | 12.1866i | −0.185623 | − | 0.509994i | 0.811621 | − | 0.584184i | \(-0.198585\pi\) |
−0.997244 | + | 0.0741895i | \(0.976363\pi\) | |||||||
\(572\) | 36.0938 | − | 6.98189i | 1.50916 | − | 0.291928i | ||||
\(573\) | 45.4202 | + | 2.96655i | 1.89746 | + | 0.123929i | ||||
\(574\) | −0.504060 | − | 5.25991i | −0.0210391 | − | 0.219544i | ||||
\(575\) | 9.81971 | + | 17.0082i | 0.409510 | + | 0.709292i | ||||
\(576\) | 23.8947 | − | 2.24612i | 0.995611 | − | 0.0935884i | ||||
\(577\) | −9.34815 | + | 16.1915i | −0.389169 | + | 0.674060i | −0.992338 | − | 0.123553i | \(-0.960571\pi\) |
0.603169 | + | 0.797613i | \(0.293904\pi\) | |||||||
\(578\) | 6.22298 | + | 2.83939i | 0.258842 | + | 0.118103i | ||||
\(579\) | 0.770057 | + | 7.01649i | 0.0320025 | + | 0.291595i | ||||
\(580\) | 29.5874 | + | 34.0989i | 1.22855 | + | 1.41588i | ||||
\(581\) | −4.04125 | − | 0.712582i | −0.167659 | − | 0.0295629i | ||||
\(582\) | 4.74895 | + | 2.55308i | 0.196850 | + | 0.105829i | ||||
\(583\) | −36.5468 | + | 30.6664i | −1.51361 | + | 1.27007i | ||||
\(584\) | 1.84315 | − | 1.93698i | 0.0762702 | − | 0.0801530i | ||||
\(585\) | −36.1128 | + | 8.02337i | −1.49308 | + | 0.331726i | ||||
\(586\) | 15.9335 | + | 10.9615i | 0.658207 | + | 0.452814i | ||||
\(587\) | 9.91990 | − | 27.2547i | 0.409438 | − | 1.12492i | −0.548049 | − | 0.836446i | \(-0.684629\pi\) |
0.957487 | − | 0.288475i | \(-0.0931484\pi\) | |||||||
\(588\) | −3.47843 | − | 11.2293i | −0.143448 | − | 0.463089i | ||||
\(589\) | −1.81757 | + | 2.16609i | −0.0748916 | + | 0.0892523i | ||||
\(590\) | 32.3433 | + | 31.8126i | 1.33155 | + | 1.30970i | ||||
\(591\) | 4.99055 | + | 17.1072i | 0.205284 | + | 0.703697i | ||||
\(592\) | −10.7048 | − | 26.6345i | −0.439963 | − | 1.09467i | ||||
\(593\) | 12.4895 | 0.512883 | 0.256441 | − | 0.966560i | \(-0.417450\pi\) | ||||
0.256441 | + | 0.966560i | \(0.417450\pi\) | |||||||
\(594\) | 30.4180 | − | 20.7213i | 1.24807 | − | 0.850204i | ||||
\(595\) | − | 22.2536i | − | 0.912308i | ||||||
\(596\) | 10.5020 | − | 18.9056i | 0.430179 | − | 0.774404i | ||||
\(597\) | 1.72836 | + | 1.65379i | 0.0707370 | + | 0.0676849i | ||||
\(598\) | −11.3647 | + | 11.5543i | −0.464738 | + | 0.472491i | ||||
\(599\) | 7.49705 | + | 6.29078i | 0.306321 | + | 0.257034i | 0.782970 | − | 0.622060i | \(-0.213704\pi\) |
−0.476648 | + | 0.879094i | \(0.658148\pi\) | |||||||
\(600\) | −6.76603 | − | 30.0598i | −0.276222 | − | 1.22719i | ||||
\(601\) | 27.8247 | + | 10.1274i | 1.13499 | + | 0.413103i | 0.840102 | − | 0.542428i | \(-0.182495\pi\) |
0.294890 | + | 0.955531i | \(0.404717\pi\) | |||||||
\(602\) | 18.4645 | + | 12.7026i | 0.752555 | + | 0.517720i | ||||
\(603\) | −33.2452 | − | 25.4857i | −1.35385 | − | 1.03786i | ||||
\(604\) | 0.457174 | + | 1.19422i | 0.0186022 | + | 0.0485922i | ||||
\(605\) | 30.4217 | + | 36.2551i | 1.23682 | + | 1.47398i | ||||
\(606\) | 43.8697 | − | 1.33045i | 1.78208 | − | 0.0540459i | ||||
\(607\) | 1.41051 | − | 7.99939i | 0.0572507 | − | 0.324685i | −0.942709 | − | 0.333615i | \(-0.891731\pi\) |
0.999960 | + | 0.00892998i | \(0.00284254\pi\) | |||||||
\(608\) | 15.8410 | − | 8.20064i | 0.642439 | − | 0.332580i | ||||
\(609\) | −8.89519 | + | 20.2284i | −0.360451 | + | 0.819698i | ||||
\(610\) | −36.9758 | − | 16.8712i | −1.49711 | − | 0.683093i | ||||
\(611\) | 8.92020 | + | 5.15008i | 0.360873 | + | 0.208350i | ||||
\(612\) | −4.87581 | − | 20.3496i | −0.197093 | − | 0.822583i | ||||
\(613\) | −10.1533 | + | 5.86202i | −0.410088 | + | 0.236765i | −0.690828 | − | 0.723019i | \(-0.742754\pi\) |
0.280739 | + | 0.959784i | \(0.409420\pi\) | |||||||
\(614\) | 34.7106 | − | 3.32634i | 1.40081 | − | 0.134240i | ||||
\(615\) | −10.2681 | + | 5.06658i | −0.414049 | + | 0.204304i | ||||
\(616\) | −21.6477 | + | 15.9729i | −0.872212 | + | 0.643565i | ||||
\(617\) | −1.24227 | + | 0.452149i | −0.0500118 | + | 0.0182028i | −0.366905 | − | 0.930258i | \(-0.619583\pi\) |
0.316893 | + | 0.948461i | \(0.397360\pi\) | |||||||
\(618\) | 10.7193 | − | 32.4826i | 0.431192 | − | 1.30664i | ||||
\(619\) | 25.4782 | − | 4.49249i | 1.02405 | − | 0.180568i | 0.363695 | − | 0.931518i | \(-0.381515\pi\) |
0.660359 | + | 0.750950i | \(0.270404\pi\) | |||||||
\(620\) | −4.67956 | − | 3.79648i | −0.187936 | − | 0.152470i | ||||
\(621\) | −5.87033 | + | 15.1263i | −0.235568 | + | 0.606998i | ||||
\(622\) | −0.775795 | − | 1.62839i | −0.0311065 | − | 0.0652925i | ||||
\(623\) | 5.16886 | + | 29.3141i | 0.207086 | + | 1.17444i | ||||
\(624\) | 22.4171 | − | 11.9993i | 0.897400 | − | 0.480356i | ||||
\(625\) | 15.8714 | − | 5.77673i | 0.634858 | − | 0.231069i | ||||
\(626\) | 7.10484 | − | 27.4210i | 0.283967 | − | 1.09596i | ||||
\(627\) | 15.1926 | − | 22.7486i | 0.606733 | − | 0.908491i | ||||
\(628\) | 9.48887 | + | 15.8247i | 0.378647 | + | 0.631474i | ||||
\(629\) | −21.6749 | + | 12.5140i | −0.864233 | + | 0.498965i | ||||
\(630\) | 21.3325 | − | 16.6669i | 0.849906 | − | 0.664025i | ||||
\(631\) | −6.70635 | + | 11.6157i | −0.266976 | + | 0.462415i | −0.968079 | − | 0.250644i | \(-0.919358\pi\) |
0.701104 | + | 0.713059i | \(0.252691\pi\) | |||||||
\(632\) | −11.7163 | + | 5.82159i | −0.466048 | + | 0.231571i | ||||
\(633\) | −11.8379 | − | 16.1371i | −0.470515 | − | 0.641393i | ||||
\(634\) | 2.26555 | + | 8.18375i | 0.0899765 | + | 0.325018i | ||||
\(635\) | −34.2396 | − | 6.03736i | −1.35876 | − | 0.239585i | ||||
\(636\) | −17.8693 | + | 27.7395i | −0.708564 | + | 1.09994i | ||||
\(637\) | −8.00557 | − | 9.54067i | −0.317192 | − | 0.378015i | ||||
\(638\) | −47.4376 | − | 3.75511i | −1.87807 | − | 0.148666i | ||||
\(639\) | −7.59384 | + | 4.84270i | −0.300408 | + | 0.191574i | ||||
\(640\) | 18.0323 | + | 33.4647i | 0.712789 | + | 1.32281i | ||||
\(641\) | −30.4904 | − | 11.0976i | −1.20430 | − | 0.438328i | −0.339575 | − | 0.940579i | \(-0.610283\pi\) |
−0.864722 | + | 0.502251i | \(0.832505\pi\) | |||||||
\(642\) | −28.1042 | + | 11.2051i | −1.10918 | + | 0.442230i | ||||
\(643\) | 17.3052 | − | 20.6235i | 0.682449 | − | 0.813312i | −0.307971 | − | 0.951396i | \(-0.599650\pi\) |
0.990420 | + | 0.138084i | \(0.0440944\pi\) | |||||||
\(644\) | 3.87141 | − | 11.2103i | 0.152555 | − | 0.441748i | ||||
\(645\) | 11.5324 | − | 47.1758i | 0.454087 | − | 1.85755i | ||||
\(646\) | −9.02579 | − | 12.6659i | −0.355115 | − | 0.498332i | ||||
\(647\) | 25.1491 | 0.988713 | 0.494356 | − | 0.869259i | \(-0.335404\pi\) | ||||
0.494356 | + | 0.869259i | \(0.335404\pi\) | |||||||
\(648\) | 15.8555 | − | 19.9149i | 0.622864 | − | 0.782330i | ||||
\(649\) | −47.8188 | −1.87705 | ||||||||
\(650\) | −18.9440 | − | 26.5840i | −0.743044 | − | 1.04271i | ||||
\(651\) | 0.700407 | − | 2.86517i | 0.0274511 | − | 0.112295i | ||||
\(652\) | −15.8047 | − | 5.45807i | −0.618960 | − | 0.213754i | ||||
\(653\) | −13.3995 | + | 15.9689i | −0.524363 | + | 0.624912i | −0.961607 | − | 0.274431i | \(-0.911510\pi\) |
0.437243 | + | 0.899343i | \(0.355955\pi\) | |||||||
\(654\) | 4.97084 | − | 1.98187i | 0.194375 | − | 0.0774972i | ||||
\(655\) | −28.3788 | − | 10.3291i | −1.10885 | − | 0.403589i | ||||
\(656\) | 5.85805 | − | 5.25537i | 0.228718 | − | 0.205188i | ||||
\(657\) | −0.125002 | − | 2.83322i | −0.00487678 | − | 0.110534i | ||||
\(658\) | −7.51406 | − | 0.594804i | −0.292929 | − | 0.0231879i | ||||
\(659\) | 18.1622 | + | 21.6448i | 0.707497 | + | 0.843162i | 0.993353 | − | 0.115110i | \(-0.0367222\pi\) |
−0.285856 | + | 0.958273i | \(0.592278\pi\) | |||||||
\(660\) | 49.0080 | + | 31.5701i | 1.90763 | + | 1.22886i | ||||
\(661\) | −37.0880 | − | 6.53962i | −1.44256 | − | 0.254362i | −0.603046 | − | 0.797706i | \(-0.706047\pi\) |
−0.839510 | + | 0.543344i | \(0.817158\pi\) | |||||||
\(662\) | −7.38044 | − | 26.6600i | −0.286849 | − | 1.03617i | ||||
\(663\) | −13.1130 | − | 17.8753i | −0.509267 | − | 0.694220i | ||||
\(664\) | −2.71963 | − | 5.47340i | −0.105542 | − | 0.212409i | ||||
\(665\) | 10.0603 | − | 17.4250i | 0.390123 | − | 0.675712i | ||||
\(666\) | −28.2295 | − | 11.4053i | −1.09387 | − | 0.441947i | ||||
\(667\) | 18.1676 | − | 10.4891i | 0.703452 | − | 0.406138i | ||||
\(668\) | −10.6934 | + | 6.41203i | −0.413740 | + | 0.248089i | ||||
\(669\) | −2.92682 | + | 4.38248i | −0.113158 | + | 0.169436i | ||||
\(670\) | 16.6418 | − | 64.2288i | 0.642930 | − | 2.48138i | ||||
\(671\) | 40.2562 | − | 14.6521i | 1.55407 | − | 0.565636i | ||||
\(672\) | −11.0330 | + | 14.9829i | −0.425609 | + | 0.577978i | ||||
\(673\) | 0.887037 | + | 5.03064i | 0.0341928 | + | 0.193917i | 0.997120 | − | 0.0758462i | \(-0.0241658\pi\) |
−0.962927 | + | 0.269763i | \(0.913055\pi\) | |||||||
\(674\) | −13.4076 | − | 28.1426i | −0.516443 | − | 1.08401i | ||||
\(675\) | −27.9510 | − | 16.9348i | −1.07583 | − | 0.651821i | ||||
\(676\) | 0.590828 | − | 0.728258i | 0.0227242 | − | 0.0280099i | ||||
\(677\) | −29.3482 | + | 5.17487i | −1.12794 | + | 0.198887i | −0.706325 | − | 0.707888i | \(-0.749648\pi\) |
−0.421617 | + | 0.906774i | \(0.638537\pi\) | |||||||
\(678\) | −12.1459 | + | 36.8057i | −0.466461 | + | 1.41352i | ||||
\(679\) | −3.92804 | + | 1.42969i | −0.150744 | + | 0.0548665i | ||||
\(680\) | 26.6700 | − | 19.6786i | 1.02275 | − | 0.754639i | ||||
\(681\) | −1.55051 | + | 0.765070i | −0.0594158 | + | 0.0293176i | ||||
\(682\) | 6.32265 | − | 0.605903i | 0.242107 | − | 0.0232012i | ||||
\(683\) | 41.0964 | − | 23.7270i | 1.57251 | − | 0.907889i | 0.576650 | − | 0.816991i | \(-0.304360\pi\) |
0.995860 | − | 0.0908981i | \(-0.0289738\pi\) | |||||||
\(684\) | 5.38171 | − | 18.1384i | 0.205775 | − | 0.693537i | ||||
\(685\) | 49.0450 | + | 28.3161i | 1.87391 | + | 1.08190i | ||||
\(686\) | 25.3952 | + | 11.5872i | 0.969592 | + | 0.442401i | ||||
\(687\) | −0.598956 | + | 1.36208i | −0.0228516 | + | 0.0519664i | ||||
\(688\) | 1.10432 | + | 33.3617i | 0.0421019 | + | 1.27190i | ||||
\(689\) | −6.07041 | + | 34.4270i | −0.231264 | + | 1.31156i | ||||
\(690\) | −25.6879 | + | 0.779045i | −0.977920 | + | 0.0296577i | ||||
\(691\) | 19.5742 | + | 23.3276i | 0.744637 | + | 0.887424i | 0.996773 | − | 0.0802677i | \(-0.0255775\pi\) |
−0.252136 | + | 0.967692i | \(0.581133\pi\) | |||||||
\(692\) | −16.6438 | + | 6.37163i | −0.632704 | + | 0.242213i | ||||
\(693\) | −3.71156 | + | 28.2922i | −0.140990 | + | 1.07473i | ||||
\(694\) | 0.0378046 | + | 0.0260077i | 0.00143504 | + | 0.000987239i | ||||
\(695\) | −34.7872 | − | 12.6615i | −1.31955 | − | 0.480278i | ||||
\(696\) | −32.1089 | + | 7.22724i | −1.21708 | + | 0.273948i | ||||
\(697\) | −5.25642 | − | 4.41066i | −0.199101 | − | 0.167066i | ||||
\(698\) | −32.2734 | + | 32.8118i | −1.22157 | + | 1.24195i | ||||
\(699\) | −12.9494 | − | 12.3907i | −0.489793 | − | 0.468659i | ||||
\(700\) | 20.8824 | + | 11.6001i | 0.789282 | + | 0.438444i | ||||
\(701\) | 22.9653i | 0.867386i | 0.901061 | + | 0.433693i | \(0.142790\pi\) | ||||
−0.901061 | + | 0.433693i | \(0.857210\pi\) | |||||||
\(702\) | 7.31440 | − | 25.9580i | 0.276064 | − | 0.979723i | ||||
\(703\) | −22.6291 | −0.853473 | ||||||||
\(704\) | −38.2856 | − | 11.8193i | −1.44294 | − | 0.445457i | ||||
\(705\) | 4.57414 | + | 15.6798i | 0.172272 | + | 0.590535i | ||||
\(706\) | −1.07690 | − | 1.05923i | −0.0405298 | − | 0.0398647i | ||||
\(707\) | −21.8723 | + | 26.0664i | −0.822591 | + | 0.980326i | ||||
\(708\) | −31.5922 | + | 9.78610i | −1.18731 | + | 0.367784i | ||||
\(709\) | −12.4178 | + | 34.1176i | −0.466361 | + | 1.28132i | 0.454264 | + | 0.890867i | \(0.349902\pi\) |
−0.920625 | + | 0.390448i | \(0.872320\pi\) | |||||||
\(710\) | −11.7530 | − | 8.08545i | −0.441081 | − | 0.303442i | ||||
\(711\) | −4.16668 | + | 13.2362i | −0.156263 | + | 0.496395i | ||||
\(712\) | −30.5609 | + | 32.1167i | −1.14532 | + | 1.20363i | ||||
\(713\) | −2.14499 | + | 1.79986i | −0.0803305 | + | 0.0674053i | ||||
\(714\) | 14.2892 | + | 7.68202i | 0.534760 | + | 0.287492i | ||||
\(715\) | 60.8229 | + | 10.7247i | 2.27465 | + | 0.401082i | ||||
\(716\) | 21.8100 | − | 18.9244i | 0.815077 | − | 0.707237i | ||||
\(717\) | −2.31432 | − | 21.0873i | −0.0864299 | − | 0.787519i | ||||
\(718\) | 14.6221 | + | 6.67172i | 0.545694 | + | 0.248986i | ||||
\(719\) | 13.7419 | − | 23.8016i | 0.512485 | − | 0.887651i | −0.487410 | − | 0.873173i | \(-0.662058\pi\) |
0.999895 | − | 0.0144775i | \(-0.00460849\pi\) | |||||||
\(720\) | 38.8386 | + | 10.8278i | 1.44743 | + | 0.403527i | ||||
\(721\) | 13.2596 | + | 22.9662i | 0.493812 | + | 0.855308i | ||||
\(722\) | 1.22180 | + | 12.7495i | 0.0454706 | + | 0.474489i | ||||
\(723\) | 25.9062 | + | 1.69202i | 0.963462 | + | 0.0629270i | ||||
\(724\) | −1.84125 | − | 9.51855i | −0.0684294 | − | 0.353754i | ||||
\(725\) | 14.4516 | + | 39.7054i | 0.536719 | + | 1.47462i | ||||
\(726\) | −33.7814 | + | 7.01861i | −1.25375 | + | 0.260485i | ||||
\(727\) | −0.612001 | − | 3.47083i | −0.0226979 | − | 0.128726i | 0.971353 | − | 0.237640i | \(-0.0763738\pi\) |
−0.994051 | + | 0.108914i | \(0.965263\pi\) | |||||||
\(728\) | −4.62799 | + | 19.1619i | −0.171525 | + | 0.710186i | ||||
\(729\) | −3.56100 | − | 26.7641i | −0.131889 | − | 0.991265i | ||||
\(730\) | 4.05523 | − | 1.93198i | 0.150091 | − | 0.0715059i | ||||
\(731\) | 28.6617 | − | 5.05384i | 1.06009 | − | 0.186923i | ||||
\(732\) | 23.5973 | − | 17.9185i | 0.872182 | − | 0.662288i | ||||
\(733\) | 4.83027 | + | 13.2711i | 0.178410 | + | 0.490178i | 0.996373 | − | 0.0850933i | \(-0.0271188\pi\) |
−0.817963 | + | 0.575271i | \(0.804897\pi\) | |||||||
\(734\) | 3.05356 | − | 11.7851i | 0.112709 | − | 0.434998i | ||||
\(735\) | 1.28716 | − | 19.7075i | 0.0474778 | − | 0.726922i | ||||
\(736\) | 16.8585 | − | 5.27341i | 0.621414 | − | 0.194380i | ||||
\(737\) | 34.9680 | + | 60.5664i | 1.28806 | + | 2.23099i | ||||
\(738\) | 0.291285 | − | 8.34223i | 0.0107223 | − | 0.307082i | ||||
\(739\) | −2.52352 | − | 1.45695i | −0.0928291 | − | 0.0535949i | 0.452867 | − | 0.891578i | \(-0.350401\pi\) |
−0.545696 | + | 0.837983i | \(0.683735\pi\) | |||||||
\(740\) | −0.797822 | − | 48.2178i | −0.0293285 | − | 1.77252i | ||||
\(741\) | −2.18674 | − | 19.9248i | −0.0803319 | − | 0.731956i | ||||
\(742\) | −6.82529 | − | 24.6547i | −0.250564 | − | 0.905102i | ||||
\(743\) | 0.918280 | − | 5.20783i | 0.0336884 | − | 0.191057i | −0.963319 | − | 0.268358i | \(-0.913519\pi\) |
0.997008 | + | 0.0773010i | \(0.0246302\pi\) | |||||||
\(744\) | 4.05315 | − | 1.69423i | 0.148596 | − | 0.0621134i | ||||
\(745\) | 27.8324 | − | 23.3542i | 1.01970 | − | 0.855631i | ||||
\(746\) | 4.26943 | − | 53.9350i | 0.156315 | − | 1.97470i | ||||
\(747\) | −6.18344 | − | 1.94652i | −0.226240 | − | 0.0712193i | ||||
\(748\) | −5.49649 | + | 34.5006i | −0.200971 | + | 1.26147i | ||||
\(749\) | 8.02267 | − | 22.0421i | 0.293142 | − | 0.805401i | ||||
\(750\) | 1.52518 | − | 10.5023i | 0.0556918 | − | 0.383491i | ||||
\(751\) | −27.0071 | − | 22.6616i | −0.985502 | − | 0.826935i | −0.000591865 | − | 1.00000i | \(-0.500188\pi\) |
−0.984910 | + | 0.173065i | \(0.944633\pi\) | |||||||
\(752\) | −5.93174 | − | 9.53127i | −0.216308 | − | 0.347570i | ||||
\(753\) | −7.74931 | − | 26.5640i | −0.282401 | − | 0.968047i | ||||
\(754\) | −28.3961 | + | 20.2353i | −1.03413 | + | 0.736926i | ||||
\(755\) | 2.14827i | 0.0781834i | ||||||||
\(756\) | 3.33790 | + | 19.4513i | 0.121398 | + | 0.707435i | ||||
\(757\) | 38.9874i | 1.41702i | 0.705700 | + | 0.708511i | \(0.250633\pi\) | ||||
−0.705700 | + | 0.708511i | \(0.749367\pi\) | |||||||
\(758\) | 18.1486 | + | 25.4679i | 0.659187 | + | 0.925035i | ||||
\(759\) | 18.7278 | − | 19.5722i | 0.679775 | − | 0.710428i | ||||
\(760\) | 29.7794 | − | 3.35182i | 1.08021 | − | 0.121583i | ||||
\(761\) | 31.7399 | + | 26.6329i | 1.15057 | + | 0.965443i | 0.999733 | − | 0.0231155i | \(-0.00735856\pi\) |
0.150837 | + | 0.988559i | \(0.451803\pi\) | |||||||
\(762\) | 15.6963 | − | 19.9014i | 0.568616 | − | 0.720952i | ||||
\(763\) | −1.41899 | + | 3.89863i | −0.0513708 | + | 0.141140i | ||||
\(764\) | −51.9039 | − | 8.26913i | −1.87782 | − | 0.299166i | ||||
\(765\) | 4.57264 | − | 34.8560i | 0.165324 | − | 1.26022i | ||||
\(766\) | −2.30765 | − | 0.182671i | −0.0833789 | − | 0.00660017i | ||||
\(767\) | −26.8414 | + | 22.5226i | −0.969186 | + | 0.813244i | ||||
\(768\) | −27.7128 | + | 0.0265521i | −1.00000 | + | 0.000958117i | ||||
\(769\) | 8.75977 | − | 49.6791i | 0.315886 | − | 1.79148i | −0.251325 | − | 0.967903i | \(-0.580866\pi\) |
0.567210 | − | 0.823573i | \(-0.308023\pi\) | |||||||
\(770\) | −43.5580 | + | 12.0584i | −1.56972 | + | 0.434554i | ||||
\(771\) | −12.4307 | − | 5.46622i | −0.447679 | − | 0.196861i | ||||
\(772\) | −0.134843 | − | 8.14948i | −0.00485311 | − | 0.293306i | ||||
\(773\) | 26.2565 | + | 15.1592i | 0.944379 | + | 0.545238i | 0.891330 | − | 0.453354i | \(-0.149773\pi\) |
0.0530488 | + | 0.998592i | \(0.483106\pi\) | |||||||
\(774\) | 26.3110 | + | 23.6903i | 0.945728 | + | 0.851531i | ||||
\(775\) | −2.81993 | − | 4.88427i | −0.101295 | − | 0.175448i | ||||
\(776\) | −5.18695 | − | 3.44334i | −0.186201 | − | 0.123609i | ||||
\(777\) | 21.1680 | − | 10.4449i | 0.759398 | − | 0.374710i | ||||
\(778\) | 15.7000 | + | 4.06790i | 0.562871 | + | 0.145841i | ||||
\(779\) | −2.12192 | − | 5.82994i | −0.0760258 | − | 0.208879i | ||||
\(780\) | 42.3784 | − | 5.36195i | 1.51739 | − | 0.191989i | ||||
\(781\) | 14.8082 | − | 2.61109i | 0.529879 | − | 0.0934320i | ||||
\(782\) | −6.62409 | − | 13.9040i | −0.236877 | − | 0.497204i | ||||
\(783\) | −18.0892 | + | 29.8563i | −0.646454 | + | 1.06698i | ||||
\(784\) | 2.79813 | + | 13.2828i | 0.0999333 | + | 0.474386i | ||||
\(785\) | 5.38281 | + | 30.5275i | 0.192121 | + | 1.08957i | ||||
\(786\) | 16.4289 | − | 14.6567i | 0.585998 | − | 0.522786i | ||||
\(787\) | −9.23473 | − | 25.3722i | −0.329182 | − | 0.904421i | −0.988319 | − | 0.152398i | \(-0.951300\pi\) |
0.659137 | − | 0.752023i | \(-0.270922\pi\) | |||||||
\(788\) | −3.90794 | − | 20.2026i | −0.139215 | − | 0.719687i | ||||
\(789\) | 19.8295 | − | 29.6916i | 0.705947 | − | 1.05705i | ||||
\(790\) | −21.8789 | + | 2.09666i | −0.778415 | + | 0.0745960i | ||||
\(791\) | −15.0243 | − | 26.0228i | −0.534202 | − | 0.925265i | ||||
\(792\) | −37.1892 | + | 20.5703i | −1.32146 | + | 0.730935i | ||||
\(793\) | 15.6953 | − | 27.1851i | 0.557356 | − | 0.965370i | ||||
\(794\) | −1.75017 | + | 3.83578i | −0.0621113 | + | 0.136127i | ||||
\(795\) | −44.6972 | + | 32.7891i | −1.58525 | + | 1.16291i | ||||
\(796\) | −1.81026 | − | 2.08629i | −0.0641629 | − | 0.0739466i | ||||
\(797\) | −52.0759 | − | 9.18239i | −1.84462 | − | 0.325257i | −0.861437 | − | 0.507864i | \(-0.830435\pi\) |
−0.983186 | + | 0.182608i | \(0.941546\pi\) | |||||||
\(798\) | 7.71588 | + | 12.4750i | 0.273139 | + | 0.441610i | ||||
\(799\) | −7.49821 | + | 6.29175i | −0.265268 | + | 0.222586i | ||||
\(800\) | 4.56380 | + | 35.2846i | 0.161355 | + | 1.24750i | ||||
\(801\) | 2.07262 | + | 46.9770i | 0.0732326 | + | 1.65985i | ||||
\(802\) | −7.55644 | + | 10.9840i | −0.266827 | + | 0.387858i | ||||
\(803\) | −1.61937 | + | 4.44918i | −0.0571463 | + | 0.157008i | ||||
\(804\) | 35.4971 | + | 32.8579i | 1.25188 | + | 1.15881i | ||||
\(805\) | 12.8073 | − | 15.2631i | 0.451398 | − | 0.537955i | ||||
\(806\) | 3.26362 | − | 3.31806i | 0.114956 | − | 0.116874i | ||||
\(807\) | 26.8736 | + | 6.56941i | 0.945996 | + | 0.231254i | ||||
\(808\) | −50.5808 | − | 3.16286i | −1.77943 | − | 0.111269i | ||||
\(809\) | −18.3017 | −0.643453 | −0.321727 | − | 0.946833i | \(-0.604263\pi\) | ||||
−0.321727 | + | 0.946833i | \(0.604263\pi\) | |||||||
\(810\) | 36.8380 | − | 21.7222i | 1.29436 | − | 0.763239i | ||||
\(811\) | 34.2759i | 1.20359i | 0.798650 | + | 0.601795i | \(0.205548\pi\) | ||||
−0.798650 | + | 0.601795i | \(0.794452\pi\) | |||||||
\(812\) | 12.3909 | − | 22.3059i | 0.434834 | − | 0.782783i | ||||
\(813\) | −2.95906 | + | 12.1047i | −0.103779 | + | 0.424530i | ||||
\(814\) | 36.2390 | + | 35.6444i | 1.27018 | + | 1.24933i | ||||
\(815\) | −21.5186 | − | 18.0562i | −0.753762 | − | 0.632482i | ||||
\(816\) | 3.42920 | + | 23.9182i | 0.120046 | + | 0.837303i | ||||
\(817\) | 24.7274 | + | 9.00005i | 0.865103 | + | 0.314872i | ||||
\(818\) | −20.5310 | + | 29.8438i | −0.717851 | + | 1.04346i | ||||
\(819\) | 11.2423 | + | 17.6290i | 0.392836 | + | 0.616007i | ||||
\(820\) | 12.3475 | − | 4.72690i | 0.431194 | − | 0.165071i | ||||
\(821\) | −16.1380 | − | 19.2325i | −0.563221 | − | 0.671220i | 0.407004 | − | 0.913426i | \(-0.366573\pi\) |
−0.970225 | + | 0.242206i | \(0.922129\pi\) | |||||||
\(822\) | −35.1125 | + | 21.7174i | −1.22469 | + | 0.757480i | ||||
\(823\) | −5.65012 | + | 32.0434i | −0.196951 | + | 1.11696i | 0.712662 | + | 0.701507i | \(0.247489\pi\) |
−0.909613 | + | 0.415456i | \(0.863622\pi\) | |||||||
\(824\) | −15.7988 | + | 36.1998i | −0.550378 | + | 1.26108i | ||||
\(825\) | 32.2729 | + | 43.9935i | 1.12360 | + | 1.53166i | ||||
\(826\) | 10.6438 | − | 23.3276i | 0.370346 | − | 0.811672i | ||||
\(827\) | −39.6695 | − | 22.9032i | −1.37944 | − | 0.796423i | −0.387352 | − | 0.921932i | \(-0.626610\pi\) |
−0.992092 | + | 0.125509i | \(0.959944\pi\) | |||||||
\(828\) | 8.36732 | − | 16.7633i | 0.290784 | − | 0.582566i | ||||
\(829\) | 17.0001 | − | 9.81500i | 0.590437 | − | 0.340889i | −0.174833 | − | 0.984598i | \(-0.555939\pi\) |
0.765270 | + | 0.643709i | \(0.222605\pi\) | |||||||
\(830\) | −0.979483 | − | 10.2210i | −0.0339984 | − | 0.354776i | ||||
\(831\) | −27.1948 | − | 18.1620i | −0.943377 | − | 0.630032i | ||||
\(832\) | −27.0572 | + | 11.3982i | −0.938039 | + | 0.395160i | ||||
\(833\) | 11.1217 | − | 4.04796i | 0.385343 | − | 0.140253i | ||||
\(834\) | 20.1387 | − | 17.9664i | 0.697348 | − | 0.622124i | ||||
\(835\) | −20.6287 | + | 3.63739i | −0.713885 | + | 0.125877i | ||||
\(836\) | −19.9008 | + | 24.5298i | −0.688282 | + | 0.848380i | ||||
\(837\) | 1.68579 | − | 4.34383i | 0.0582694 | − | 0.150145i | ||||
\(838\) | −3.12824 | + | 1.49035i | −0.108063 | + | 0.0514833i | ||||
\(839\) | −8.40287 | − | 47.6550i | −0.290099 | − | 1.64523i | −0.686480 | − | 0.727149i | \(-0.740845\pi\) |
0.396381 | − | 0.918086i | \(-0.370266\pi\) | |||||||
\(840\) | −26.3095 | + | 16.8807i | −0.907764 | + | 0.582439i | ||||
\(841\) | 15.1609 | − | 5.51810i | 0.522788 | − | 0.190279i | ||||
\(842\) | 17.7928 | + | 4.61014i | 0.613179 | + | 0.158876i | ||||
\(843\) | −14.1203 | − | 28.6166i | −0.486329 | − | 0.985609i | ||||
\(844\) | 11.8844 | + | 19.8197i | 0.409077 | + | 0.682221i | ||||
\(845\) | 1.36439 | − | 0.787733i | 0.0469366 | − | 0.0270989i | ||||
\(846\) | −11.6471 | − | 2.47563i | −0.400437 | − | 0.0851139i | ||||
\(847\) | 13.3748 | − | 23.1658i | 0.459563 | − | 0.795987i | ||||
\(848\) | 23.5121 | − | 29.9817i | 0.807409 | − | 1.02958i | ||||
\(849\) | 6.10500 | − | 13.8833i | 0.209523 | − | 0.476473i | ||||
\(850\) | 29.8964 | − | 8.27638i | 1.02544 | − | 0.283877i | ||||
\(851\) | −22.0682 | − | 3.89122i | −0.756488 | − | 0.133389i | ||||
\(852\) | 9.24891 | − | 4.75555i | 0.316862 | − | 0.162922i | ||||
\(853\) | −30.1220 | − | 35.8980i | −1.03136 | − | 1.22912i | −0.972995 | − | 0.230828i | \(-0.925857\pi\) |
−0.0583624 | − | 0.998295i | \(-0.518588\pi\) | |||||||
\(854\) | −1.81271 | + | 22.8997i | −0.0620298 | + | 0.783612i | ||||
\(855\) | 19.3381 | − | 25.2258i | 0.661348 | − | 0.862703i | ||||
\(856\) | 33.5109 | − | 9.87673i | 1.14538 | − | 0.337580i | ||||
\(857\) | −5.93538 | − | 2.16030i | −0.202749 | − | 0.0737946i | 0.238650 | − | 0.971106i | \(-0.423295\pi\) |
−0.441399 | + | 0.897311i | \(0.645517\pi\) | |||||||
\(858\) | −27.8827 | + | 35.3527i | −0.951901 | + | 1.20692i | ||||
\(859\) | −19.3877 | + | 23.1054i | −0.661501 | + | 0.788346i | −0.987600 | − | 0.156990i | \(-0.949821\pi\) |
0.326100 | + | 0.945335i | \(0.394266\pi\) | |||||||
\(860\) | −18.3054 | + | 53.0061i | −0.624208 | + | 1.80749i | ||||
\(861\) | 4.67584 | + | 4.47410i | 0.159352 | + | 0.152477i | ||||
\(862\) | 30.6765 | − | 21.8603i | 1.04485 | − | 0.744566i | ||||
\(863\) | 48.6885 | 1.65737 | 0.828687 | − | 0.559712i | \(-0.189088\pi\) | ||||
0.828687 | + | 0.559712i | \(0.189088\pi\) | |||||||
\(864\) | −20.3599 | + | 21.2008i | −0.692657 | + | 0.721268i | ||||
\(865\) | −29.9404 | −1.01800 | ||||||||
\(866\) | 32.0584 | − | 22.8451i | 1.08939 | − | 0.776307i | ||||
\(867\) | −8.04221 | + | 2.34609i | −0.273128 | + | 0.0796774i | ||||
\(868\) | −1.11176 | + | 3.21927i | −0.0377355 | + | 0.109269i | ||||
\(869\) | 14.8915 | − | 17.7470i | 0.505161 | − | 0.602027i | ||||
\(870\) | −54.7181 | − | 7.94633i | −1.85512 | − | 0.269406i | ||||
\(871\) | 48.1548 | + | 17.5269i | 1.63166 | + | 0.593877i | ||||
\(872\) | −5.92715 | + | 1.74692i | −0.200718 | + | 0.0591581i | ||||
\(873\) | −6.44631 | + | 1.43221i | −0.218174 | + | 0.0484730i | ||||
\(874\) | 1.09886 | − | 13.8817i | 0.0371694 | − | 0.469554i | ||||
\(875\) | 5.28869 | + | 6.30281i | 0.178790 | + | 0.213074i | ||||
\(876\) | −0.159337 | + | 3.27082i | −0.00538349 | + | 0.110511i | ||||
\(877\) | −34.7601 | − | 6.12915i | −1.17377 | − | 0.206967i | −0.447438 | − | 0.894315i | \(-0.647664\pi\) |
−0.726328 | + | 0.687348i | \(0.758775\pi\) | |||||||
\(878\) | 22.0752 | − | 6.11119i | 0.745001 | − | 0.206243i | ||||
\(879\) | −23.5450 | + | 2.58406i | −0.794154 | + | 0.0871581i | ||||
\(880\) | −52.9693 | − | 41.5394i | −1.78559 | − | 1.40029i | ||||
\(881\) | 7.22906 | − | 12.5211i | 0.243553 | − | 0.421847i | −0.718171 | − | 0.695867i | \(-0.755020\pi\) |
0.961724 | + | 0.274020i | \(0.0883536\pi\) | |||||||
\(882\) | 12.2100 | + | 7.62961i | 0.411133 | + | 0.256902i | ||||
\(883\) | −30.6193 | + | 17.6781i | −1.03042 | + | 0.594915i | −0.917106 | − | 0.398644i | \(-0.869481\pi\) |
−0.113317 | + | 0.993559i | \(0.536148\pi\) | |||||||
\(884\) | 13.1645 | + | 21.9545i | 0.442769 | + | 0.738410i | ||||
\(885\) | −55.4444 | − | 3.62126i | −1.86374 | − | 0.121727i | ||||
\(886\) | 25.3253 | + | 6.56186i | 0.850822 | + | 0.220450i | ||||
\(887\) | −33.6657 | + | 12.2533i | −1.13038 | + | 0.411426i | −0.838432 | − | 0.545007i | \(-0.816527\pi\) |
−0.291952 | + | 0.956433i | \(0.594305\pi\) | |||||||
\(888\) | 31.2365 | + | 16.1327i | 1.04823 | + | 0.541377i | ||||
\(889\) | 3.41231 | + | 19.3522i | 0.114445 | + | 0.649051i | ||||
\(890\) | −67.2389 | + | 32.0338i | −2.25385 | + | 1.07378i | ||||
\(891\) | −11.6269 | + | 43.5518i | −0.389516 | + | 1.45904i | ||||
\(892\) | 3.83385 | − | 4.72562i | 0.128367 | − | 0.158225i | ||||
\(893\) | −8.71560 | + | 1.53680i | −0.291656 | + | 0.0514269i | ||||
\(894\) | 5.38806 | + | 25.9334i | 0.180204 | + | 0.867342i | ||||
\(895\) | 45.5853 | − | 16.5917i | 1.52375 | − | 0.554599i | ||||
\(896\) | 14.2877 | − | 16.0462i | 0.477320 | − | 0.536067i | ||||
\(897\) | 1.29366 | − | 19.8070i | 0.0431940 | − | 0.661335i | ||||
\(898\) | −1.01629 | − | 10.6050i | −0.0339139 | − | 0.353894i | ||||
\(899\) | −5.21720 | + | 3.01215i | −0.174003 | + | 0.100461i | ||||
\(900\) | 30.3248 | + | 22.4603i | 1.01083 | + | 0.748678i | ||||
\(901\) | −28.7699 | − | 16.6103i | −0.958463 | − | 0.553369i | ||||
\(902\) | −5.78493 | + | 12.6786i | −0.192617 | + | 0.422151i | ||||
\(903\) | −27.2850 | + | 2.99452i | −0.907988 | + | 0.0996514i | ||||
\(904\) | 17.9015 | − | 41.0177i | 0.595395 | − | 1.36423i | ||||
\(905\) | 2.82829 | − | 16.0401i | 0.0940157 | − | 0.533189i | ||||
\(906\) | −1.37942 | − | 0.741590i | −0.0458282 | − | 0.0246377i | ||||
\(907\) | 5.65021 | + | 6.73365i | 0.187612 | + | 0.223587i | 0.851649 | − | 0.524112i | \(-0.175603\pi\) |
−0.664037 | + | 0.747700i | \(0.731158\pi\) | |||||||
\(908\) | 1.86452 | − | 0.713778i | 0.0618762 | − | 0.0236876i | ||||
\(909\) | −39.6149 | + | 36.3337i | −1.31394 | + | 1.20511i | ||||
\(910\) | −18.7703 | + | 27.2843i | −0.622228 | + | 0.904467i | ||||
\(911\) | 13.4129 | + | 4.88190i | 0.444389 | + | 0.161744i | 0.554516 | − | 0.832173i | \(-0.312903\pi\) |
−0.110127 | + | 0.993918i | \(0.535126\pi\) | |||||||
\(912\) | −8.12772 | + | 20.2787i | −0.269136 | + | 0.671493i | ||||
\(913\) | 8.29075 | + | 6.95676i | 0.274384 | + | 0.230235i | ||||
\(914\) | −14.3394 | − | 14.1041i | −0.474305 | − | 0.466522i | ||||
\(915\) | 47.7854 | − | 13.9401i | 1.57974 | − | 0.460844i | ||||
\(916\) | 0.834335 | − | 1.50196i | 0.0275672 | − | 0.0496262i | ||||
\(917\) | 17.0691i | 0.563671i | ||||||||
\(918\) | 20.8029 | + | 14.9686i | 0.686597 | + | 0.494036i | ||||
\(919\) | −54.9336 | −1.81209 | −0.906046 | − | 0.423179i | \(-0.860914\pi\) | ||||
−0.906046 | + | 0.423179i | \(0.860914\pi\) | |||||||
\(920\) | 29.6176 | + | 1.85201i | 0.976463 | + | 0.0610589i | ||||
\(921\) | −29.5250 | + | 30.8563i | −0.972881 | + | 1.01675i | ||||
\(922\) | −12.4086 | + | 12.6156i | −0.408656 | + | 0.415474i | ||||
\(923\) | 7.08225 | − | 8.44030i | 0.233115 | − | 0.277816i | ||||
\(924\) | 7.29359 | − | 32.1316i | 0.239941 | − | 1.05705i | ||||
\(925\) | 15.4371 | − | 42.4130i | 0.507567 | − | 1.39453i | ||||
\(926\) | −4.36610 | + | 6.34654i | −0.143479 | + | 0.208560i | ||||
\(927\) | 16.0495 | + | 38.6968i | 0.527136 | + | 1.27097i | ||||
\(928\) | 37.6898 | − | 4.87488i | 1.23723 | − | 0.160026i | ||||
\(929\) | 20.0336 | − | 16.8102i | 0.657282 | − | 0.551525i | −0.251989 | − | 0.967730i | \(-0.581085\pi\) |
0.909271 | + | 0.416205i | \(0.136640\pi\) | |||||||
\(930\) | 7.37680 | − | 0.223719i | 0.241895 | − | 0.00733603i | ||||
\(931\) | 10.5385 | + | 1.85822i | 0.345385 | + | 0.0609006i | ||||
\(932\) | 13.5631 | + | 15.6312i | 0.444273 | + | 0.512016i | ||||
\(933\) | 2.02225 | + | 0.889258i | 0.0662055 | + | 0.0291130i | ||||
\(934\) | −4.29053 | + | 9.40339i | −0.140390 | + | 0.307688i | ||||
\(935\) | −29.3458 | + | 50.8283i | −0.959709 | + | 1.66226i | ||||
\(936\) | −11.1862 | + | 29.0625i | −0.365633 | + | 0.949937i | ||||
\(937\) | 30.0604 | + | 52.0662i | 0.982031 | + | 1.70093i | 0.654451 | + | 0.756105i | \(0.272900\pi\) |
0.327580 | + | 0.944823i | \(0.393767\pi\) | |||||||
\(938\) | −37.3298 | + | 3.57734i | −1.21886 | + | 0.116804i | ||||
\(939\) | 15.3513 | + | 31.1114i | 0.500972 | + | 1.01528i | ||||
\(940\) | −3.58186 | − | 18.5169i | −0.116827 | − | 0.603954i | ||||
\(941\) | −19.3533 | − | 53.1728i | −0.630900 | − | 1.73338i | −0.678585 | − | 0.734522i | \(-0.737406\pi\) |
0.0476846 | − | 0.998862i | \(-0.484816\pi\) | |||||||
\(942\) | −21.4601 | − | 7.08184i | −0.699208 | − | 0.230739i | ||||
\(943\) | −1.06683 | − | 6.05031i | −0.0347408 | − | 0.197025i | ||||
\(944\) | 37.3694 | − | 7.87217i | 1.21627 | − | 0.256217i | ||||
\(945\) | −6.44598 | + | 32.5229i | −0.209688 | + | 1.05797i | ||||
\(946\) | −25.4229 | − | 53.3625i | −0.826568 | − | 1.73496i | ||||
\(947\) | 45.6408 | − | 8.04770i | 1.48313 | − | 0.261515i | 0.627299 | − | 0.778778i | \(-0.284160\pi\) |
0.855826 | + | 0.517263i | \(0.173049\pi\) | |||||||
\(948\) | 6.20638 | − | 14.7724i | 0.201574 | − | 0.479785i | ||||
\(949\) | 1.18659 | + | 3.26012i | 0.0385182 | + | 0.105828i | ||||
\(950\) | 27.1510 | + | 7.03489i | 0.880895 | + | 0.228242i | ||||
\(951\) | −8.64859 | − | 5.77594i | −0.280450 | − | 0.187298i | ||||
\(952\) | −15.6071 | − | 10.3607i | −0.505829 | − | 0.335793i | ||||
\(953\) | −2.93376 | − | 5.08142i | −0.0950338 | − | 0.164603i | 0.814589 | − | 0.580039i | \(-0.196963\pi\) |
−0.909623 | + | 0.415435i | \(0.863629\pi\) | |||||||
\(954\) | −5.62451 | − | 40.0194i | −0.182100 | − | 1.29568i | ||||
\(955\) | −76.4681 | − | 44.1489i | −2.47445 | − | 1.42862i | ||||
\(956\) | 0.405256 | + | 24.4924i | 0.0131069 | + | 0.792139i | ||||
\(957\) | 46.9923 | − | 34.4727i | 1.51905 | − | 1.11435i | ||||
\(958\) | 9.44638 | − | 2.61509i | 0.305199 | − | 0.0844898i | ||||
\(959\) | 5.55822 | − | 31.5222i | 0.179484 | − | 1.01791i | ||||
\(960\) | −43.4960 | − | 16.6035i | −1.40383 | − | 0.535874i | ||||
\(961\) | −23.1314 | + | 19.4095i | −0.746174 | + | 0.626114i | ||||
\(962\) | 37.1300 | + | 2.93916i | 1.19712 | + | 0.0947625i | ||||
\(963\) | 17.0952 | − | 32.8763i | 0.550885 | − | 1.05943i | ||||
\(964\) | −29.6043 | − | 4.71643i | −0.953490 | − | 0.151906i | ||||
\(965\) | 4.68325 | − | 12.8671i | 0.150759 | − | 0.414207i | ||||
\(966\) | 5.37947 | + | 13.4926i | 0.173082 | + | 0.434116i | ||||
\(967\) | −17.2553 | − | 14.4789i | −0.554893 | − | 0.465610i | 0.321701 | − | 0.946841i | \(-0.395745\pi\) |
−0.876594 | + | 0.481231i | \(0.840190\pi\) | |||||||
\(968\) | 39.5904 | − | 4.45611i | 1.27249 | − | 0.143225i | ||||
\(969\) | 18.5033 | + | 4.52325i | 0.594413 | + | 0.145308i | ||||
\(970\) | −6.06990 | − | 8.51786i | −0.194893 | − | 0.273492i | ||||
\(971\) | 21.9521i | 0.704475i | 0.935911 | + | 0.352238i | \(0.114579\pi\) | ||||
−0.935911 | + | 0.352238i | \(0.885421\pi\) | |||||||
\(972\) | 1.23138 | + | 31.1526i | 0.0394964 | + | 0.999220i | ||||
\(973\) | 20.9235i | 0.670778i | ||||||||
\(974\) | 34.1853 | − | 24.3607i | 1.09537 | − | 0.780568i | ||||
\(975\) | 38.8361 | + | 9.49371i | 1.24375 | + | 0.304042i | ||||
\(976\) | −29.0473 | + | 18.0775i | −0.929783 | + | 0.578646i | ||||
\(977\) | −36.9729 | − | 31.0239i | −1.18287 | − | 0.992543i | −0.999956 | − | 0.00941403i | \(-0.997003\pi\) |
−0.182911 | − | 0.983129i | \(-0.558552\pi\) | |||||||
\(978\) | 19.0223 | − | 7.58418i | 0.608267 | − | 0.242515i | ||||
\(979\) | 26.8504 | − | 73.7710i | 0.858144 | − | 2.35773i | ||||
\(980\) | −3.58791 | + | 22.5207i | −0.114612 | + | 0.719398i | ||||
\(981\) | −3.02366 | + | 5.81490i | −0.0965381 | + | 0.185656i | ||||
\(982\) | 0.982139 | − | 12.4072i | 0.0313413 | − | 0.395929i | ||||
\(983\) | −35.0417 | + | 29.4034i | −1.11766 | + | 0.937824i | −0.998484 | − | 0.0550493i | \(-0.982468\pi\) |
−0.119172 | + | 0.992874i | \(0.538024\pi\) | |||||||
\(984\) | −1.22723 | + | 9.56020i | −0.0391226 | + | 0.304768i | ||||
\(985\) | 6.00289 | − | 34.0441i | 0.191268 | − | 1.08474i | ||||
\(986\) | −8.84053 | − | 31.9343i | −0.281540 | − | 1.01699i | ||||
\(987\) | 7.44352 | − | 5.46044i | 0.236930 | − | 0.173808i | ||||
\(988\) | 0.382916 | + | 23.1422i | 0.0121822 | + | 0.736251i | ||||
\(989\) | 22.5669 | + | 13.0290i | 0.717585 | + | 0.414298i | ||||
\(990\) | −70.7031 | + | 9.93695i | −2.24709 | + | 0.315817i | ||||
\(991\) | 6.44420 | + | 11.1617i | 0.204707 | + | 0.354562i | 0.950039 | − | 0.312130i | \(-0.101043\pi\) |
−0.745333 | + | 0.666693i | \(0.767709\pi\) | |||||||
\(992\) | −4.84128 | + | 1.51437i | −0.153711 | + | 0.0480812i | ||||
\(993\) | 28.1744 | + | 18.8162i | 0.894086 | + | 0.597113i | ||||
\(994\) | −2.02233 | + | 7.80515i | −0.0641445 | + | 0.247564i | ||||
\(995\) | −1.58712 | − | 4.36058i | −0.0503151 | − | 0.138240i | ||||
\(996\) | 6.90111 | + | 2.89939i | 0.218670 | + | 0.0918707i | ||||
\(997\) | −4.83400 | + | 0.852365i | −0.153094 | + | 0.0269947i | −0.249670 | − | 0.968331i | \(-0.580322\pi\) |
0.0965756 | + | 0.995326i | \(0.469211\pi\) | |||||||
\(998\) | 19.0029 | − | 9.05332i | 0.601526 | − | 0.286578i | ||||
\(999\) | 35.3019 | − | 12.0105i | 1.11690 | − | 0.379994i |
(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 | 216.2.t.a.13.29 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.253.6 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.337.20 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.337.15 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.13.3 | ✓ | 204 | |
24.5 | odd | 2 | 648.2.t.a.253.32 | 204 | |||
27.2 | odd | 18 | 648.2.t.a.397.32 | 204 | |||
27.25 | even | 9 | inner | 216.2.t.a.133.3 | yes | 204 | |
108.79 | odd | 18 | 864.2.bf.a.241.15 | 204 | |||
216.29 | odd | 18 | 648.2.t.a.397.6 | 204 | |||
216.133 | even | 18 | inner | 216.2.t.a.133.29 | yes | 204 | |
216.187 | odd | 18 | 864.2.bf.a.241.20 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.3 | ✓ | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.13.29 | yes | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.133.3 | yes | 204 | 27.25 | even | 9 | inner | |
216.2.t.a.133.29 | yes | 204 | 216.133 | even | 18 | inner | |
648.2.t.a.253.6 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.253.32 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.397.6 | 204 | 216.29 | odd | 18 | |||
648.2.t.a.397.32 | 204 | 27.2 | odd | 18 | |||
864.2.bf.a.241.15 | 204 | 108.79 | odd | 18 | |||
864.2.bf.a.241.20 | 204 | 216.187 | odd | 18 | |||
864.2.bf.a.337.15 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.337.20 | 204 | 4.3 | odd | 2 |