Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(4,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.p (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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 9.5 | ||
Character | \(\chi\) | \(=\) | 95.9 |
Dual form | 95.2.p.a.74.5 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.240763 | − | 0.0424530i | 0.170245 | − | 0.0300188i | −0.0878757 | − | 0.996131i | \(-0.528008\pi\) |
0.258121 | + | 0.966113i | \(0.416897\pi\) | |||||||
\(3\) | 1.76019 | + | 2.09771i | 1.01625 | + | 1.21111i | 0.977297 | + | 0.211873i | \(0.0679563\pi\) |
0.0389482 | + | 0.999241i | \(0.487599\pi\) | |||||||
\(4\) | −1.82322 | + | 0.663598i | −0.911610 | + | 0.331799i | ||||
\(5\) | 0.0152217 | − | 2.23602i | 0.00680737 | − | 0.999977i | ||||
\(6\) | 0.512843 | + | 0.430326i | 0.209367 | + | 0.175680i | ||||
\(7\) | 1.68032 | + | 0.970136i | 0.635103 | + | 0.366677i | 0.782726 | − | 0.622367i | \(-0.213829\pi\) |
−0.147623 | + | 0.989044i | \(0.547162\pi\) | |||||||
\(8\) | −0.834240 | + | 0.481648i | −0.294948 | + | 0.170288i | ||||
\(9\) | −0.781184 | + | 4.43031i | −0.260395 | + | 1.47677i | ||||
\(10\) | −0.0912608 | − | 0.538996i | −0.0288592 | − | 0.170446i | ||||
\(11\) | −2.11666 | − | 3.66617i | −0.638198 | − | 1.10539i | −0.985828 | − | 0.167760i | \(-0.946347\pi\) |
0.347630 | − | 0.937632i | \(-0.386987\pi\) | |||||||
\(12\) | −4.60125 | − | 2.65653i | −1.32827 | − | 0.766875i | ||||
\(13\) | −0.816227 | + | 0.972742i | −0.226381 | + | 0.269790i | −0.867264 | − | 0.497848i | \(-0.834124\pi\) |
0.640884 | + | 0.767638i | \(0.278568\pi\) | |||||||
\(14\) | 0.445745 | + | 0.162238i | 0.119130 | + | 0.0433599i | ||||
\(15\) | 4.71731 | − | 3.90388i | 1.21800 | − | 1.00798i | ||||
\(16\) | 2.79220 | − | 2.34293i | 0.698050 | − | 0.585733i | ||||
\(17\) | 2.42284 | − | 0.427212i | 0.587624 | − | 0.103614i | 0.128072 | − | 0.991765i | \(-0.459121\pi\) |
0.459552 | + | 0.888151i | \(0.348010\pi\) | |||||||
\(18\) | 1.09982i | 0.259230i | ||||||||
\(19\) | −1.64247 | − | 4.03761i | −0.376809 | − | 0.926291i | ||||
\(20\) | 1.45606 | + | 4.08685i | 0.325586 | + | 0.913848i | ||||
\(21\) | 0.922623 | + | 5.23246i | 0.201333 | + | 1.14182i | ||||
\(22\) | −0.665255 | − | 0.792820i | −0.141833 | − | 0.169030i | ||||
\(23\) | −1.75701 | − | 4.82735i | −0.366362 | − | 1.00657i | −0.976734 | − | 0.214457i | \(-0.931202\pi\) |
0.610371 | − | 0.792115i | \(-0.291020\pi\) | |||||||
\(24\) | −2.47878 | − | 0.902202i | −0.505979 | − | 0.184161i | ||||
\(25\) | −4.99954 | − | 0.0680722i | −0.999907 | − | 0.0136144i | ||||
\(26\) | −0.155222 | + | 0.268852i | −0.0304415 | + | 0.0527261i | ||||
\(27\) | −3.55406 | + | 2.05194i | −0.683979 | + | 0.394895i | ||||
\(28\) | −3.70738 | − | 0.653712i | −0.700629 | − | 0.123540i | ||||
\(29\) | −1.50053 | + | 8.50995i | −0.278642 | + | 1.58026i | 0.448508 | + | 0.893779i | \(0.351956\pi\) |
−0.727150 | + | 0.686479i | \(0.759155\pi\) | |||||||
\(30\) | 0.970023 | − | 1.14017i | 0.177101 | − | 0.208166i | ||||
\(31\) | −2.55042 | + | 4.41746i | −0.458069 | + | 0.793399i | −0.998859 | − | 0.0477591i | \(-0.984792\pi\) |
0.540790 | + | 0.841158i | \(0.318125\pi\) | |||||||
\(32\) | 1.81118 | − | 2.15849i | 0.320175 | − | 0.381570i | ||||
\(33\) | 3.96484 | − | 10.8933i | 0.690190 | − | 1.89628i | ||||
\(34\) | 0.565193 | − | 0.205714i | 0.0969299 | − | 0.0352796i | ||||
\(35\) | 2.19482 | − | 3.74247i | 0.370992 | − | 0.632592i | ||||
\(36\) | −1.51568 | − | 8.59583i | −0.252613 | − | 1.43264i | ||||
\(37\) | 11.0305i | 1.81341i | 0.421770 | + | 0.906703i | \(0.361409\pi\) | ||||
−0.421770 | + | 0.906703i | \(0.638591\pi\) | |||||||
\(38\) | −0.566855 | − | 0.902380i | −0.0919561 | − | 0.146385i | ||||
\(39\) | −3.47724 | −0.556805 | ||||||||
\(40\) | 1.06428 | + | 1.87270i | 0.168277 | + | 0.296101i | ||||
\(41\) | 1.91387 | − | 1.60593i | 0.298897 | − | 0.250804i | −0.480988 | − | 0.876727i | \(-0.659722\pi\) |
0.779885 | + | 0.625923i | \(0.215278\pi\) | |||||||
\(42\) | 0.444267 | + | 1.22061i | 0.0685519 | + | 0.188345i | ||||
\(43\) | −1.52842 | + | 4.19929i | −0.233081 | + | 0.640386i | −0.999999 | − | 0.00135976i | \(-0.999567\pi\) |
0.766918 | + | 0.641745i | \(0.221789\pi\) | |||||||
\(44\) | 6.29201 | + | 5.27962i | 0.948556 | + | 0.795933i | ||||
\(45\) | 9.89436 | + | 1.81418i | 1.47496 | + | 0.270441i | ||||
\(46\) | −0.627959 | − | 1.08766i | −0.0925876 | − | 0.160366i | ||||
\(47\) | 6.66617 | + | 1.17543i | 0.972362 | + | 0.171454i | 0.637193 | − | 0.770705i | \(-0.280096\pi\) |
0.335169 | + | 0.942158i | \(0.391207\pi\) | |||||||
\(48\) | 9.82960 | + | 1.73322i | 1.41878 | + | 0.250169i | ||||
\(49\) | −1.61767 | − | 2.80189i | −0.231096 | − | 0.400270i | ||||
\(50\) | −1.20659 | + | 0.195856i | −0.170638 | + | 0.0276983i | ||||
\(51\) | 5.16082 | + | 4.33044i | 0.722659 | + | 0.606383i | ||||
\(52\) | 0.842653 | − | 2.31517i | 0.116855 | − | 0.321056i | ||||
\(53\) | 0.235926 | + | 0.648201i | 0.0324069 | + | 0.0890373i | 0.954841 | − | 0.297117i | \(-0.0960253\pi\) |
−0.922434 | + | 0.386155i | \(0.873803\pi\) | |||||||
\(54\) | −0.768575 | + | 0.644911i | −0.104590 | + | 0.0877613i | ||||
\(55\) | −8.22984 | + | 4.67709i | −1.10971 | + | 0.630659i | ||||
\(56\) | −1.86906 | −0.249763 | ||||||||
\(57\) | 5.57868 | − | 10.5524i | 0.738914 | − | 1.39770i | ||||
\(58\) | 2.11258i | 0.277396i | ||||||||
\(59\) | −0.901817 | − | 5.11446i | −0.117407 | − | 0.665846i | −0.985530 | − | 0.169498i | \(-0.945785\pi\) |
0.868124 | − | 0.496348i | \(-0.165326\pi\) | |||||||
\(60\) | −6.01009 | + | 10.2480i | −0.775899 | + | 1.32302i | ||||
\(61\) | −2.63378 | + | 0.958619i | −0.337221 | + | 0.122739i | −0.505080 | − | 0.863073i | \(-0.668537\pi\) |
0.167859 | + | 0.985811i | \(0.446315\pi\) | |||||||
\(62\) | −0.426513 | + | 1.17183i | −0.0541672 | + | 0.148823i | ||||
\(63\) | −5.61065 | + | 6.68651i | −0.706875 | + | 0.842421i | ||||
\(64\) | −3.30053 | + | 5.71668i | −0.412566 | + | 0.714585i | ||||
\(65\) | 2.16264 | + | 1.83990i | 0.268243 | + | 0.228212i | ||||
\(66\) | 0.492133 | − | 2.79103i | 0.0605774 | − | 0.343551i | ||||
\(67\) | −5.13308 | − | 0.905101i | −0.627106 | − | 0.110576i | −0.148941 | − | 0.988846i | \(-0.547587\pi\) |
−0.478164 | + | 0.878270i | \(0.658698\pi\) | |||||||
\(68\) | −4.13387 | + | 2.38669i | −0.501305 | + | 0.289429i | ||||
\(69\) | 7.03371 | − | 12.1828i | 0.846760 | − | 1.46663i | ||||
\(70\) | 0.369552 | − | 0.994224i | 0.0441699 | − | 0.118833i | ||||
\(71\) | −0.744158 | − | 0.270851i | −0.0883153 | − | 0.0321441i | 0.297485 | − | 0.954727i | \(-0.403852\pi\) |
−0.385800 | + | 0.922582i | \(0.626075\pi\) | |||||||
\(72\) | −1.48216 | − | 4.07220i | −0.174674 | − | 0.479913i | ||||
\(73\) | −0.910034 | − | 1.08454i | −0.106511 | − | 0.126935i | 0.710155 | − | 0.704045i | \(-0.248625\pi\) |
−0.816666 | + | 0.577110i | \(0.804180\pi\) | |||||||
\(74\) | 0.468279 | + | 2.65574i | 0.0544363 | + | 0.308724i | ||||
\(75\) | −8.65733 | − | 10.6074i | −0.999663 | − | 1.22484i | ||||
\(76\) | 5.67394 | + | 6.27151i | 0.650845 | + | 0.719392i | ||||
\(77\) | − | 8.21381i | − | 0.936050i | ||||||
\(78\) | −0.837192 | + | 0.147620i | −0.0947934 | + | 0.0167146i | ||||
\(79\) | 4.64448 | − | 3.89718i | 0.522545 | − | 0.438467i | −0.342973 | − | 0.939345i | \(-0.611434\pi\) |
0.865518 | + | 0.500878i | \(0.166989\pi\) | |||||||
\(80\) | −5.19634 | − | 6.27907i | −0.580968 | − | 0.702021i | ||||
\(81\) | 2.12188 | + | 0.772300i | 0.235764 | + | 0.0858112i | ||||
\(82\) | 0.392614 | − | 0.467899i | 0.0433569 | − | 0.0516708i | ||||
\(83\) | 10.2643 | + | 5.92611i | 1.12666 | + | 0.650476i | 0.943092 | − | 0.332532i | \(-0.107903\pi\) |
0.183565 | + | 0.983008i | \(0.441236\pi\) | |||||||
\(84\) | −5.15439 | − | 8.92767i | −0.562391 | − | 0.974089i | ||||
\(85\) | −0.918372 | − | 5.42401i | −0.0996114 | − | 0.588316i | ||||
\(86\) | −0.189714 | + | 1.07592i | −0.0204574 | + | 0.116019i | ||||
\(87\) | −20.4926 | + | 11.8314i | −2.19704 | + | 1.26846i | ||||
\(88\) | 3.53161 | + | 2.03898i | 0.376471 | + | 0.217356i | ||||
\(89\) | 1.71051 | + | 1.43529i | 0.181314 | + | 0.152140i | 0.728927 | − | 0.684591i | \(-0.240019\pi\) |
−0.547614 | + | 0.836731i | \(0.684464\pi\) | |||||||
\(90\) | 2.45921 | + | 0.0167412i | 0.259224 | + | 0.00176467i | ||||
\(91\) | −2.31522 | + | 0.842670i | −0.242701 | + | 0.0883358i | ||||
\(92\) | 6.40684 | + | 7.63537i | 0.667959 | + | 0.796043i | ||||
\(93\) | −13.7558 | + | 2.42551i | −1.42641 | + | 0.251514i | ||||
\(94\) | 1.65487 | 0.170687 | ||||||||
\(95\) | −9.05316 | + | 3.61113i | −0.928835 | + | 0.370494i | ||||
\(96\) | 7.71591 | 0.787501 | ||||||||
\(97\) | 8.47901 | − | 1.49508i | 0.860913 | − | 0.151802i | 0.274275 | − | 0.961651i | \(-0.411562\pi\) |
0.586638 | + | 0.809849i | \(0.300451\pi\) | |||||||
\(98\) | −0.508425 | − | 0.605917i | −0.0513587 | − | 0.0612069i | ||||
\(99\) | 17.8958 | − | 6.51353i | 1.79859 | − | 0.654635i | ||||
\(100\) | 9.16043 | − | 3.19357i | 0.916043 | − | 0.319357i | ||||
\(101\) | −10.3041 | − | 8.64614i | −1.02529 | − | 0.860323i | −0.0350095 | − | 0.999387i | \(-0.511146\pi\) |
−0.990283 | + | 0.139064i | \(0.955591\pi\) | |||||||
\(102\) | 1.42637 | + | 0.823518i | 0.141232 | + | 0.0815404i | ||||
\(103\) | −3.49510 | + | 2.01789i | −0.344382 | + | 0.198829i | −0.662208 | − | 0.749320i | \(-0.730381\pi\) |
0.317826 | + | 0.948149i | \(0.397047\pi\) | |||||||
\(104\) | 0.212409 | − | 1.20463i | 0.0208285 | − | 0.118124i | ||||
\(105\) | 11.7139 | − | 1.98335i | 1.14316 | − | 0.193556i | ||||
\(106\) | 0.0843204 | + | 0.146047i | 0.00818992 | + | 0.0141854i | ||||
\(107\) | −14.6869 | − | 8.47947i | −1.41983 | − | 0.819741i | −0.423550 | − | 0.905873i | \(-0.639216\pi\) |
−0.996284 | + | 0.0861313i | \(0.972550\pi\) | |||||||
\(108\) | 5.11817 | − | 6.09960i | 0.492496 | − | 0.586934i | ||||
\(109\) | 6.42343 | + | 2.33794i | 0.615253 | + | 0.223934i | 0.630800 | − | 0.775945i | \(-0.282727\pi\) |
−0.0155471 | + | 0.999879i | \(0.504949\pi\) | |||||||
\(110\) | −1.78288 | + | 1.47545i | −0.169991 | + | 0.140679i | ||||
\(111\) | −23.1388 | + | 19.4158i | −2.19624 | + | 1.84287i | ||||
\(112\) | 6.96476 | − | 1.22808i | 0.658108 | − | 0.116042i | ||||
\(113\) | − | 5.92416i | − | 0.557298i | −0.960393 | − | 0.278649i | \(-0.910113\pi\) | ||
0.960393 | − | 0.278649i | \(-0.0898867\pi\) | |||||||
\(114\) | 0.895159 | − | 2.77746i | 0.0838394 | − | 0.260133i | ||||
\(115\) | −10.8208 | + | 3.85523i | −1.00904 | + | 0.359502i | ||||
\(116\) | −2.91138 | − | 16.5113i | −0.270315 | − | 1.53303i | ||||
\(117\) | −3.67193 | − | 4.37603i | −0.339470 | − | 0.404564i | ||||
\(118\) | −0.434249 | − | 1.19309i | −0.0399758 | − | 0.109833i | ||||
\(119\) | 4.48561 | + | 1.63263i | 0.411195 | + | 0.149663i | ||||
\(120\) | −2.05507 | + | 5.52886i | −0.187601 | + | 0.504713i | ||||
\(121\) | −3.46054 | + | 5.99383i | −0.314594 | + | 0.544893i | ||||
\(122\) | −0.593422 | + | 0.342612i | −0.0537259 | + | 0.0310186i | ||||
\(123\) | 6.73756 | + | 1.18801i | 0.607505 | + | 0.107120i | ||||
\(124\) | 1.71856 | − | 9.74645i | 0.154331 | − | 0.875257i | ||||
\(125\) | −0.228312 | + | 11.1780i | −0.0204209 | + | 0.999791i | ||||
\(126\) | −1.06697 | + | 1.84805i | −0.0950536 | + | 0.164638i | ||||
\(127\) | 12.3288 | − | 14.6929i | 1.09400 | − | 1.30378i | 0.144680 | − | 0.989479i | \(-0.453785\pi\) |
0.949323 | − | 0.314303i | \(-0.101771\pi\) | |||||||
\(128\) | −2.47938 | + | 6.81203i | −0.219148 | + | 0.602104i | ||||
\(129\) | −11.4992 | + | 4.18537i | −1.01245 | + | 0.368501i | ||||
\(130\) | 0.598794 | + | 0.351170i | 0.0525177 | + | 0.0307997i | ||||
\(131\) | −0.0534819 | − | 0.303311i | −0.00467273 | − | 0.0265004i | 0.982382 | − | 0.186883i | \(-0.0598384\pi\) |
−0.987055 | + | 0.160382i | \(0.948727\pi\) | |||||||
\(132\) | 22.4920i | 1.95767i | ||||||||
\(133\) | 1.15714 | − | 8.37791i | 0.100337 | − | 0.726457i | ||||
\(134\) | −1.27428 | −0.110081 | ||||||||
\(135\) | 4.53407 | + | 7.97817i | 0.390230 | + | 0.686651i | ||||
\(136\) | −1.81546 | + | 1.52335i | −0.155674 | + | 0.130626i | ||||
\(137\) | 4.95907 | + | 13.6249i | 0.423682 | + | 1.16406i | 0.949584 | + | 0.313512i | \(0.101506\pi\) |
−0.525902 | + | 0.850545i | \(0.676272\pi\) | |||||||
\(138\) | 1.17626 | − | 3.23176i | 0.100130 | − | 0.275106i | ||||
\(139\) | −12.1014 | − | 10.1543i | −1.02643 | − | 0.861278i | −0.0360091 | − | 0.999351i | \(-0.511465\pi\) |
−0.990422 | + | 0.138074i | \(0.955909\pi\) | |||||||
\(140\) | −1.51814 | + | 8.27982i | −0.128306 | + | 0.699772i | ||||
\(141\) | 9.26802 | + | 16.0527i | 0.780508 | + | 1.35188i | ||||
\(142\) | −0.190664 | − | 0.0336192i | −0.0160002 | − | 0.00282126i | ||||
\(143\) | 5.29391 | + | 0.933460i | 0.442699 | + | 0.0780598i | ||||
\(144\) | 8.19871 | + | 14.2006i | 0.683226 | + | 1.18338i | ||||
\(145\) | 19.0055 | + | 3.48475i | 1.57832 | + | 0.289393i | ||||
\(146\) | −0.265144 | − | 0.222483i | −0.0219435 | − | 0.0184128i | ||||
\(147\) | 3.03015 | − | 8.32527i | 0.249923 | − | 0.686657i | ||||
\(148\) | −7.31983 | − | 20.1111i | −0.601686 | − | 1.65312i | ||||
\(149\) | 9.54872 | − | 8.01233i | 0.782262 | − | 0.656396i | −0.161555 | − | 0.986864i | \(-0.551651\pi\) |
0.943817 | + | 0.330468i | \(0.107207\pi\) | |||||||
\(150\) | −2.53468 | − | 2.18634i | −0.206956 | − | 0.178514i | ||||
\(151\) | 13.8400 | 1.12629 | 0.563143 | − | 0.826360i | \(-0.309592\pi\) | ||||
0.563143 | + | 0.826360i | \(0.309592\pi\) | |||||||
\(152\) | 3.31492 | + | 2.57724i | 0.268876 | + | 0.209042i | ||||
\(153\) | 11.0677i | 0.894767i | ||||||||
\(154\) | −0.348701 | − | 1.97758i | −0.0280991 | − | 0.159358i | ||||
\(155\) | 9.83868 | + | 5.77002i | 0.790262 | + | 0.463459i | ||||
\(156\) | 6.33978 | − | 2.30749i | 0.507589 | − | 0.184747i | ||||
\(157\) | −6.22373 | + | 17.0996i | −0.496708 | + | 1.36469i | 0.397731 | + | 0.917502i | \(0.369798\pi\) |
−0.894438 | + | 0.447191i | \(0.852424\pi\) | |||||||
\(158\) | 0.952772 | − | 1.13547i | 0.0757985 | − | 0.0903331i | ||||
\(159\) | −0.944465 | + | 1.63586i | −0.0749010 | + | 0.129732i | ||||
\(160\) | −4.79884 | − | 4.08269i | −0.379382 | − | 0.322765i | ||||
\(161\) | 1.73084 | − | 9.81605i | 0.136409 | − | 0.773613i | ||||
\(162\) | 0.543656 | + | 0.0958613i | 0.0427137 | + | 0.00753158i | ||||
\(163\) | 13.2794 | − | 7.66687i | 1.04012 | − | 0.600516i | 0.120256 | − | 0.992743i | \(-0.461629\pi\) |
0.919868 | + | 0.392227i | \(0.128295\pi\) | |||||||
\(164\) | −2.42372 | + | 4.19801i | −0.189261 | + | 0.327809i | ||||
\(165\) | −24.2972 | − | 9.03126i | −1.89154 | − | 0.703082i | ||||
\(166\) | 2.72285 | + | 0.991038i | 0.211334 | + | 0.0769195i | ||||
\(167\) | 2.12631 | + | 5.84198i | 0.164539 | + | 0.452066i | 0.994372 | − | 0.105945i | \(-0.0337868\pi\) |
−0.829833 | + | 0.558011i | \(0.811565\pi\) | |||||||
\(168\) | −3.28989 | − | 3.92074i | −0.253821 | − | 0.302492i | ||||
\(169\) | 1.97743 | + | 11.2145i | 0.152110 | + | 0.862657i | ||||
\(170\) | −0.451376 | − | 1.26691i | −0.0346189 | − | 0.0971678i | ||||
\(171\) | 19.1709 | − | 4.12255i | 1.46604 | − | 0.315259i | ||||
\(172\) | − | 8.67048i | − | 0.661118i | ||||||
\(173\) | 2.72401 | − | 0.480317i | 0.207103 | − | 0.0365178i | −0.0691341 | − | 0.997607i | \(-0.522024\pi\) |
0.276237 | + | 0.961090i | \(0.410913\pi\) | |||||||
\(174\) | −4.43159 | + | 3.71855i | −0.335958 | + | 0.281902i | ||||
\(175\) | −8.33480 | − | 4.96461i | −0.630052 | − | 0.375289i | ||||
\(176\) | −14.4997 | − | 5.27747i | −1.09296 | − | 0.397805i | ||||
\(177\) | 9.14129 | − | 10.8942i | 0.687102 | − | 0.818856i | ||||
\(178\) | 0.472760 | + | 0.272948i | 0.0354349 | + | 0.0204583i | ||||
\(179\) | −5.68916 | − | 9.85392i | −0.425228 | − | 0.736516i | 0.571214 | − | 0.820801i | \(-0.306473\pi\) |
−0.996442 | + | 0.0842849i | \(0.973139\pi\) | |||||||
\(180\) | −19.2435 | + | 3.25823i | −1.43432 | + | 0.242854i | ||||
\(181\) | 0.619323 | − | 3.51236i | 0.0460339 | − | 0.261071i | −0.953101 | − | 0.302652i | \(-0.902128\pi\) |
0.999135 | + | 0.0415803i | \(0.0132392\pi\) | |||||||
\(182\) | −0.521645 | + | 0.301172i | −0.0386669 | + | 0.0223243i | ||||
\(183\) | −6.64686 | − | 3.83757i | −0.491350 | − | 0.283681i | ||||
\(184\) | 3.79085 | + | 3.18090i | 0.279466 | + | 0.234499i | ||||
\(185\) | 24.6644 | + | 0.167904i | 1.81336 | + | 0.0123445i | ||||
\(186\) | −3.20891 | + | 1.16795i | −0.235289 | + | 0.0856381i | ||||
\(187\) | −6.69456 | − | 7.97827i | −0.489555 | − | 0.583429i | ||||
\(188\) | −12.9339 | + | 2.28060i | −0.943303 | + | 0.166330i | ||||
\(189\) | −7.96263 | −0.579196 | ||||||||
\(190\) | −2.02636 | + | 1.25376i | −0.147008 | + | 0.0909574i | ||||
\(191\) | −8.67323 | −0.627573 | −0.313786 | − | 0.949494i | \(-0.601598\pi\) | ||||
−0.313786 | + | 0.949494i | \(0.601598\pi\) | |||||||
\(192\) | −17.8015 | + | 3.13888i | −1.28471 | + | 0.226529i | ||||
\(193\) | 0.271327 | + | 0.323355i | 0.0195306 | + | 0.0232756i | 0.775721 | − | 0.631076i | \(-0.217386\pi\) |
−0.756191 | + | 0.654351i | \(0.772942\pi\) | |||||||
\(194\) | 1.97796 | − | 0.719919i | 0.142009 | − | 0.0516872i | ||||
\(195\) | −0.0529297 | + | 7.77517i | −0.00379038 | + | 0.556792i | ||||
\(196\) | 4.80871 | + | 4.03498i | 0.343479 | + | 0.288213i | ||||
\(197\) | −13.1995 | − | 7.62075i | −0.940427 | − | 0.542956i | −0.0503329 | − | 0.998732i | \(-0.516028\pi\) |
−0.890094 | + | 0.455777i | \(0.849362\pi\) | |||||||
\(198\) | 4.03213 | − | 2.32795i | 0.286551 | − | 0.165440i | ||||
\(199\) | −2.24465 | + | 12.7301i | −0.159119 | + | 0.902410i | 0.795803 | + | 0.605555i | \(0.207049\pi\) |
−0.954923 | + | 0.296855i | \(0.904062\pi\) | |||||||
\(200\) | 4.20360 | − | 2.35123i | 0.297239 | − | 0.166257i | ||||
\(201\) | −7.13656 | − | 12.3609i | −0.503374 | − | 0.871869i | ||||
\(202\) | −2.84789 | − | 1.64423i | −0.200377 | − | 0.115688i | ||||
\(203\) | −10.7772 | + | 12.8438i | −0.756410 | + | 0.901455i | ||||
\(204\) | −12.2830 | − | 4.47064i | −0.859981 | − | 0.313007i | ||||
\(205\) | −3.56175 | − | 4.30390i | −0.248764 | − | 0.300597i | ||||
\(206\) | −0.755824 | + | 0.634212i | −0.0526608 | + | 0.0441876i | ||||
\(207\) | 22.7592 | − | 4.01306i | 1.58188 | − | 0.278927i | ||||
\(208\) | 4.62845i | 0.320926i | ||||||||
\(209\) | −11.3260 | + | 14.5678i | −0.783436 | + | 1.00768i | ||||
\(210\) | 2.73608 | − | 0.974809i | 0.188807 | − | 0.0672682i | ||||
\(211\) | −0.772073 | − | 4.37864i | −0.0531517 | − | 0.301438i | 0.946630 | − | 0.322322i | \(-0.104463\pi\) |
−0.999782 | + | 0.0208833i | \(0.993352\pi\) | |||||||
\(212\) | −0.860290 | − | 1.02525i | −0.0590850 | − | 0.0704148i | ||||
\(213\) | −0.741690 | − | 2.03778i | −0.0508198 | − | 0.139626i | ||||
\(214\) | −3.89604 | − | 1.41804i | −0.266328 | − | 0.0969353i | ||||
\(215\) | 9.36641 | + | 3.48148i | 0.638784 | + | 0.237435i | ||||
\(216\) | 1.97662 | − | 3.42361i | 0.134492 | − | 0.232947i | ||||
\(217\) | −8.57106 | + | 4.94851i | −0.581842 | + | 0.335926i | ||||
\(218\) | 1.64578 | + | 0.290195i | 0.111466 | + | 0.0196545i | ||||
\(219\) | 0.673212 | − | 3.81798i | 0.0454915 | − | 0.257995i | ||||
\(220\) | 11.9011 | − | 13.9887i | 0.802372 | − | 0.943116i | ||||
\(221\) | −1.56202 | + | 2.70550i | −0.105073 | + | 0.181991i | ||||
\(222\) | −4.74672 | + | 5.65692i | −0.318579 | + | 0.379668i | ||||
\(223\) | −3.14622 | + | 8.64417i | −0.210687 | + | 0.578856i | −0.999353 | − | 0.0359647i | \(-0.988550\pi\) |
0.788667 | + | 0.614821i | \(0.210772\pi\) | |||||||
\(224\) | 5.13740 | − | 1.86986i | 0.343257 | − | 0.124935i | ||||
\(225\) | 4.20714 | − | 22.0963i | 0.280476 | − | 1.47309i | ||||
\(226\) | −0.251499 | − | 1.42632i | −0.0167294 | − | 0.0948774i | ||||
\(227\) | 0.600308i | 0.0398438i | 0.999802 | + | 0.0199219i | \(0.00634176\pi\) | ||||
−0.999802 | + | 0.0199219i | \(0.993658\pi\) | |||||||
\(228\) | −3.16862 | + | 22.9413i | −0.209847 | + | 1.51933i | ||||
\(229\) | 7.11499 | 0.470172 | 0.235086 | − | 0.971975i | \(-0.424463\pi\) | ||||
0.235086 | + | 0.971975i | \(0.424463\pi\) | |||||||
\(230\) | −2.44158 | + | 1.38757i | −0.160993 | + | 0.0914937i | ||||
\(231\) | 17.2302 | − | 14.4579i | 1.13366 | − | 0.951257i | ||||
\(232\) | −2.84700 | − | 7.82207i | −0.186915 | − | 0.513544i | ||||
\(233\) | 6.89726 | − | 18.9501i | 0.451854 | − | 1.24146i | −0.479563 | − | 0.877507i | \(-0.659205\pi\) |
0.931418 | − | 0.363952i | \(-0.118573\pi\) | |||||||
\(234\) | −1.06984 | − | 0.897702i | −0.0699376 | − | 0.0586846i | ||||
\(235\) | 2.72974 | − | 14.8878i | 0.178069 | − | 0.971172i | ||||
\(236\) | 5.03816 | + | 8.72635i | 0.327956 | + | 0.568037i | ||||
\(237\) | 16.3503 | + | 2.88300i | 1.06207 | + | 0.187271i | ||||
\(238\) | 1.14928 | + | 0.202649i | 0.0744967 | + | 0.0131358i | ||||
\(239\) | −5.81710 | − | 10.0755i | −0.376277 | − | 0.651731i | 0.614240 | − | 0.789119i | \(-0.289463\pi\) |
−0.990517 | + | 0.137388i | \(0.956129\pi\) | |||||||
\(240\) | 4.02514 | − | 21.9528i | 0.259822 | − | 1.41704i | ||||
\(241\) | 19.5572 | + | 16.4104i | 1.25979 | + | 1.05709i | 0.995704 | + | 0.0925884i | \(0.0295141\pi\) |
0.264084 | + | 0.964500i | \(0.414930\pi\) | |||||||
\(242\) | −0.578714 | + | 1.59000i | −0.0372011 | + | 0.102209i | ||||
\(243\) | 6.32567 | + | 17.3796i | 0.405792 | + | 1.11490i | ||||
\(244\) | 4.16583 | − | 3.49555i | 0.266690 | − | 0.223779i | ||||
\(245\) | −6.28970 | + | 3.57449i | −0.401834 | + | 0.228366i | ||||
\(246\) | 1.67259 | 0.106640 | ||||||||
\(247\) | 5.26818 | + | 1.69791i | 0.335206 | + | 0.108035i | ||||
\(248\) | − | 4.91362i | − | 0.312015i | ||||||
\(249\) | 5.63588 | + | 31.9627i | 0.357160 | + | 2.02555i | ||||
\(250\) | 0.419571 | + | 2.70094i | 0.0265360 | + | 0.170823i | ||||
\(251\) | −14.4509 | + | 5.25969i | −0.912131 | + | 0.331988i | −0.755103 | − | 0.655606i | \(-0.772413\pi\) |
−0.157027 | + | 0.987594i | \(0.550191\pi\) | |||||||
\(252\) | 5.79229 | − | 15.9142i | 0.364880 | − | 1.00250i | ||||
\(253\) | −13.9789 | + | 16.6594i | −0.878845 | + | 1.04737i | ||||
\(254\) | 2.34456 | − | 4.06090i | 0.147111 | − | 0.254803i | ||||
\(255\) | 9.76149 | − | 11.4738i | 0.611288 | − | 0.718514i | ||||
\(256\) | 1.98477 | − | 11.2562i | 0.124048 | − | 0.703512i | ||||
\(257\) | −15.8096 | − | 2.78765i | −0.986173 | − | 0.173889i | −0.342772 | − | 0.939419i | \(-0.611366\pi\) |
−0.643401 | + | 0.765530i | \(0.722477\pi\) | |||||||
\(258\) | −2.59090 | + | 1.49586i | −0.161302 | + | 0.0931280i | ||||
\(259\) | −10.7011 | + | 18.5348i | −0.664934 | + | 1.15170i | ||||
\(260\) | −5.16393 | − | 1.91943i | −0.320253 | − | 0.119038i | ||||
\(261\) | −36.5295 | − | 13.2957i | −2.26112 | − | 0.822981i | ||||
\(262\) | −0.0257529 | − | 0.0707556i | −0.00159102 | − | 0.00437129i | ||||
\(263\) | 9.15308 | + | 10.9082i | 0.564403 | + | 0.672629i | 0.970472 | − | 0.241213i | \(-0.0775453\pi\) |
−0.406069 | + | 0.913842i | \(0.633101\pi\) | |||||||
\(264\) | 1.93912 | + | 10.9973i | 0.119344 | + | 0.676836i | ||||
\(265\) | 1.45298 | − | 0.517668i | 0.0892559 | − | 0.0318001i | ||||
\(266\) | −0.0770701 | − | 2.06622i | −0.00472547 | − | 0.126688i | ||||
\(267\) | 6.11453i | 0.374203i | ||||||||
\(268\) | 9.95937 | − | 1.75611i | 0.608365 | − | 0.107271i | ||||
\(269\) | −12.4416 | + | 10.4398i | −0.758579 | + | 0.636523i | −0.937756 | − | 0.347294i | \(-0.887101\pi\) |
0.179178 | + | 0.983817i | \(0.442656\pi\) | |||||||
\(270\) | 1.43033 | + | 1.72836i | 0.0870473 | + | 0.105185i | ||||
\(271\) | 5.56796 | + | 2.02657i | 0.338230 | + | 0.123106i | 0.505551 | − | 0.862797i | \(-0.331289\pi\) |
−0.167321 | + | 0.985902i | \(0.553512\pi\) | |||||||
\(272\) | 5.76412 | − | 6.86941i | 0.349501 | − | 0.416519i | ||||
\(273\) | −5.84290 | − | 3.37340i | −0.353628 | − | 0.204167i | ||||
\(274\) | 1.77238 | + | 3.06985i | 0.107073 | + | 0.185457i | ||||
\(275\) | 10.3328 | + | 18.4732i | 0.623090 | + | 1.11398i | ||||
\(276\) | −4.73956 | + | 26.8794i | −0.285288 | + | 1.61795i | ||||
\(277\) | 5.46407 | − | 3.15468i | 0.328304 | − | 0.189546i | −0.326784 | − | 0.945099i | \(-0.605965\pi\) |
0.655088 | + | 0.755553i | \(0.272632\pi\) | |||||||
\(278\) | −3.34466 | − | 1.93104i | −0.200600 | − | 0.115816i | ||||
\(279\) | −17.5784 | − | 14.7500i | −1.05239 | − | 0.883059i | ||||
\(280\) | −0.0284503 | + | 4.17924i | −0.00170023 | + | 0.249758i | ||||
\(281\) | 2.51801 | − | 0.916481i | 0.150212 | − | 0.0546727i | −0.265820 | − | 0.964023i | \(-0.585643\pi\) |
0.416032 | + | 0.909350i | \(0.363420\pi\) | |||||||
\(282\) | 2.91288 | + | 3.47144i | 0.173460 | + | 0.206721i | ||||
\(283\) | 30.5923 | − | 5.39425i | 1.81853 | − | 0.320655i | 0.842564 | − | 0.538597i | \(-0.181045\pi\) |
0.975962 | + | 0.217942i | \(0.0699343\pi\) | |||||||
\(284\) | 1.53650 | 0.0911745 | ||||||||
\(285\) | −23.5104 | − | 12.6346i | −1.39264 | − | 0.748412i | ||||
\(286\) | 1.31421 | 0.0777107 | ||||||||
\(287\) | 4.77390 | − | 0.841767i | 0.281794 | − | 0.0496880i | ||||
\(288\) | 8.14790 | + | 9.71029i | 0.480120 | + | 0.572184i | ||||
\(289\) | −10.2871 | + | 3.74421i | −0.605126 | + | 0.220248i | ||||
\(290\) | 4.72377 | + | 0.0321572i | 0.277389 | + | 0.00188834i | ||||
\(291\) | 18.0609 | + | 15.1549i | 1.05875 | + | 0.888396i | ||||
\(292\) | 2.37889 | + | 1.37345i | 0.139214 | + | 0.0803752i | ||||
\(293\) | −0.749675 | + | 0.432825i | −0.0437965 | + | 0.0252859i | −0.521738 | − | 0.853106i | \(-0.674716\pi\) |
0.477942 | + | 0.878391i | \(0.341383\pi\) | |||||||
\(294\) | 0.376116 | − | 2.13306i | 0.0219355 | − | 0.124402i | ||||
\(295\) | −11.4497 | + | 1.93863i | −0.666630 | + | 0.112871i | ||||
\(296\) | −5.31283 | − | 9.20209i | −0.308802 | − | 0.534861i | ||||
\(297\) | 15.0455 | + | 8.68652i | 0.873029 | + | 0.504043i | ||||
\(298\) | 1.95883 | − | 2.33445i | 0.113472 | − | 0.135231i | ||||
\(299\) | 6.12988 | + | 2.23110i | 0.354500 | + | 0.129028i | ||||
\(300\) | 22.8233 | + | 13.5946i | 1.31770 | + | 0.784887i | ||||
\(301\) | −6.64212 | + | 5.57340i | −0.382845 | + | 0.321245i | ||||
\(302\) | 3.33217 | − | 0.587551i | 0.191745 | − | 0.0338098i | ||||
\(303\) | − | 36.8338i | − | 2.11605i | ||||||
\(304\) | −14.0460 | − | 7.42561i | −0.805591 | − | 0.425888i | ||||
\(305\) | 2.10340 | + | 5.90377i | 0.120440 | + | 0.338049i | ||||
\(306\) | 0.469856 | + | 2.66468i | 0.0268599 | + | 0.152330i | ||||
\(307\) | −5.77995 | − | 6.88828i | −0.329879 | − | 0.393135i | 0.575456 | − | 0.817833i | \(-0.304825\pi\) |
−0.905335 | + | 0.424698i | \(0.860380\pi\) | |||||||
\(308\) | 5.45067 | + | 14.9756i | 0.310581 | + | 0.853313i | ||||
\(309\) | −10.3850 | − | 3.77983i | −0.590781 | − | 0.215027i | ||||
\(310\) | 2.61375 | + | 0.971526i | 0.148451 | + | 0.0551790i | ||||
\(311\) | 5.72035 | − | 9.90793i | 0.324371 | − | 0.561827i | −0.657014 | − | 0.753879i | \(-0.728181\pi\) |
0.981385 | + | 0.192051i | \(0.0615140\pi\) | |||||||
\(312\) | 2.90086 | − | 1.67481i | 0.164229 | − | 0.0948174i | ||||
\(313\) | −7.74572 | − | 1.36578i | −0.437814 | − | 0.0771984i | −0.0496032 | − | 0.998769i | \(-0.515796\pi\) |
−0.388211 | + | 0.921571i | \(0.626907\pi\) | |||||||
\(314\) | −0.772517 | + | 4.38116i | −0.0435956 | + | 0.247243i | ||||
\(315\) | 14.8657 | + | 12.6473i | 0.837589 | + | 0.712593i | ||||
\(316\) | −5.88175 | + | 10.1875i | −0.330874 | + | 0.573091i | ||||
\(317\) | −10.6230 | + | 12.6600i | −0.596647 | + | 0.711056i | −0.976869 | − | 0.213839i | \(-0.931403\pi\) |
0.380222 | + | 0.924895i | \(0.375848\pi\) | |||||||
\(318\) | −0.157945 | + | 0.433951i | −0.00885712 | + | 0.0243347i | ||||
\(319\) | 34.3750 | − | 12.5115i | 1.92463 | − | 0.700509i | ||||
\(320\) | 12.7323 | + | 7.46705i | 0.711760 | + | 0.417421i | ||||
\(321\) | −8.06419 | − | 45.7343i | −0.450099 | − | 2.55264i | ||||
\(322\) | − | 2.43682i | − | 0.135799i | ||||||
\(323\) | −5.70435 | − | 9.08079i | −0.317399 | − | 0.505269i | ||||
\(324\) | −4.38115 | −0.243397 | ||||||||
\(325\) | 4.14697 | − | 4.80769i | 0.230033 | − | 0.266683i | ||||
\(326\) | 2.87171 | − | 2.40965i | 0.159049 | − | 0.133458i | ||||
\(327\) | 6.40213 | + | 17.5897i | 0.354039 | + | 0.972713i | ||||
\(328\) | −0.823135 | + | 2.26155i | −0.0454500 | + | 0.124873i | ||||
\(329\) | 10.0610 | + | 8.44219i | 0.554682 | + | 0.465433i | ||||
\(330\) | −6.23329 | − | 1.14290i | −0.343131 | − | 0.0629147i | ||||
\(331\) | −3.95723 | − | 6.85412i | −0.217509 | − | 0.376736i | 0.736537 | − | 0.676397i | \(-0.236460\pi\) |
−0.954046 | + | 0.299661i | \(0.903126\pi\) | |||||||
\(332\) | −22.6467 | − | 3.99322i | −1.24290 | − | 0.219157i | ||||
\(333\) | −48.8686 | − | 8.61686i | −2.67798 | − | 0.472201i | ||||
\(334\) | 0.759946 | + | 1.31627i | 0.0415824 | + | 0.0720228i | ||||
\(335\) | −2.10196 | + | 11.4639i | −0.114842 | + | 0.626339i | ||||
\(336\) | 14.8354 | + | 12.4484i | 0.809340 | + | 0.679117i | ||||
\(337\) | −6.51071 | + | 17.8880i | −0.354661 | + | 0.974423i | 0.626191 | + | 0.779670i | \(0.284613\pi\) |
−0.980852 | + | 0.194754i | \(0.937609\pi\) | |||||||
\(338\) | 0.952183 | + | 2.61610i | 0.0517919 | + | 0.142297i | ||||
\(339\) | 12.4272 | − | 10.4276i | 0.674952 | − | 0.566352i | ||||
\(340\) | 5.27375 | + | 9.27973i | 0.286010 | + | 0.503264i | ||||
\(341\) | 21.5935 | 1.16936 | ||||||||
\(342\) | 4.44064 | − | 1.80642i | 0.240122 | − | 0.0976801i | ||||
\(343\) | − | 19.8594i | − | 1.07230i | ||||||
\(344\) | −0.747516 | − | 4.23937i | −0.0403034 | − | 0.228572i | ||||
\(345\) | −27.1338 | − | 15.9129i | −1.46083 | − | 0.856724i | ||||
\(346\) | 0.635451 | − | 0.231285i | 0.0341621 | − | 0.0124340i | ||||
\(347\) | −1.86887 | + | 5.13467i | −0.100326 | + | 0.275644i | −0.979694 | − | 0.200500i | \(-0.935743\pi\) |
0.879368 | + | 0.476143i | \(0.157966\pi\) | |||||||
\(348\) | 29.5113 | − | 35.1702i | 1.58197 | − | 1.88532i | ||||
\(349\) | −3.13218 | + | 5.42509i | −0.167662 | + | 0.290398i | −0.937597 | − | 0.347723i | \(-0.886955\pi\) |
0.769936 | + | 0.638121i | \(0.220288\pi\) | |||||||
\(350\) | −2.21748 | − | 0.841458i | −0.118529 | − | 0.0449778i | ||||
\(351\) | 0.904915 | − | 5.13203i | 0.0483008 | − | 0.273927i | ||||
\(352\) | −11.7470 | − | 2.07132i | −0.626120 | − | 0.110402i | ||||
\(353\) | 7.18280 | − | 4.14699i | 0.382302 | − | 0.220722i | −0.296517 | − | 0.955027i | \(-0.595825\pi\) |
0.678819 | + | 0.734305i | \(0.262492\pi\) | |||||||
\(354\) | 1.73840 | − | 3.01099i | 0.0923947 | − | 0.160032i | ||||
\(355\) | −0.616955 | + | 1.65983i | −0.0327446 | + | 0.0880944i | ||||
\(356\) | −4.07109 | − | 1.48176i | −0.215767 | − | 0.0785329i | ||||
\(357\) | 4.47073 | + | 12.2832i | 0.236616 | + | 0.650098i | ||||
\(358\) | −1.78807 | − | 2.13094i | −0.0945024 | − | 0.112624i | ||||
\(359\) | −2.27231 | − | 12.8869i | −0.119928 | − | 0.680145i | −0.984192 | − | 0.177106i | \(-0.943326\pi\) |
0.864264 | − | 0.503039i | \(-0.167785\pi\) | |||||||
\(360\) | −9.12806 | + | 3.25215i | −0.481091 | + | 0.171403i | ||||
\(361\) | −13.6046 | + | 13.2633i | −0.716030 | + | 0.698069i | ||||
\(362\) | − | 0.871938i | − | 0.0458281i | ||||||
\(363\) | −18.6645 | + | 3.29106i | −0.979633 | + | 0.172736i | ||||
\(364\) | 3.66196 | − | 3.07275i | 0.191939 | − | 0.161056i | ||||
\(365\) | −2.43889 | + | 2.01834i | −0.127657 | + | 0.105645i | ||||
\(366\) | −1.76324 | − | 0.641765i | −0.0921658 | − | 0.0335456i | ||||
\(367\) | −16.7730 | + | 19.9893i | −0.875545 | + | 1.04343i | 0.123151 | + | 0.992388i | \(0.460700\pi\) |
−0.998696 | + | 0.0510458i | \(0.983745\pi\) | |||||||
\(368\) | −16.2161 | − | 9.36236i | −0.845322 | − | 0.488047i | ||||
\(369\) | 5.61969 | + | 9.73359i | 0.292549 | + | 0.506710i | ||||
\(370\) | 5.94541 | − | 1.00665i | 0.309087 | − | 0.0523335i | ||||
\(371\) | −0.232411 | + | 1.31807i | −0.0120662 | + | 0.0684307i | ||||
\(372\) | 23.4702 | − | 13.5505i | 1.21687 | − | 0.702563i | ||||
\(373\) | 23.5532 | + | 13.5984i | 1.21954 | + | 0.704100i | 0.964819 | − | 0.262915i | \(-0.0846840\pi\) |
0.254718 | + | 0.967015i | \(0.418017\pi\) | |||||||
\(374\) | −1.95051 | − | 1.63667i | −0.100858 | − | 0.0846301i | ||||
\(375\) | −23.8501 | + | 19.1965i | −1.23161 | + | 0.991302i | ||||
\(376\) | −6.12733 | + | 2.23017i | −0.315993 | + | 0.115012i | ||||
\(377\) | −7.05320 | − | 8.40568i | −0.363258 | − | 0.432915i | ||||
\(378\) | −1.91711 | + | 0.338038i | −0.0986054 | + | 0.0173868i | ||||
\(379\) | −13.6999 | −0.703714 | −0.351857 | − | 0.936054i | \(-0.614450\pi\) | ||||
−0.351857 | + | 0.936054i | \(0.614450\pi\) | |||||||
\(380\) | 14.1096 | − | 12.5916i | 0.723806 | − | 0.645933i | ||||
\(381\) | 52.5224 | 2.69080 | ||||||||
\(382\) | −2.08819 | + | 0.368205i | −0.106841 | + | 0.0188390i | ||||
\(383\) | −6.58953 | − | 7.85310i | −0.336709 | − | 0.401275i | 0.570948 | − | 0.820986i | \(-0.306576\pi\) |
−0.907658 | + | 0.419711i | \(0.862131\pi\) | |||||||
\(384\) | −18.6538 | + | 6.78945i | −0.951925 | + | 0.346472i | ||||
\(385\) | −18.3662 | − | 0.125029i | −0.936029 | − | 0.00637204i | ||||
\(386\) | 0.0790530 | + | 0.0663333i | 0.00402369 | + | 0.00337628i | ||||
\(387\) | −17.4102 | − | 10.0518i | −0.885010 | − | 0.510961i | ||||
\(388\) | −14.4670 | + | 8.35251i | −0.734449 | + | 0.424035i | ||||
\(389\) | 0.878089 | − | 4.97989i | 0.0445209 | − | 0.252490i | −0.954422 | − | 0.298461i | \(-0.903527\pi\) |
0.998943 | + | 0.0459703i | \(0.0146380\pi\) | |||||||
\(390\) | 0.317336 | + | 1.87422i | 0.0160689 | + | 0.0949049i | ||||
\(391\) | −6.31925 | − | 10.9453i | −0.319578 | − | 0.553526i | ||||
\(392\) | 2.69905 | + | 1.55830i | 0.136323 | + | 0.0787060i | ||||
\(393\) | 0.542120 | − | 0.646074i | 0.0273463 | − | 0.0325901i | ||||
\(394\) | −3.50148 | − | 1.27444i | −0.176402 | − | 0.0642051i | ||||
\(395\) | −8.64346 | − | 10.4445i | −0.434900 | − | 0.525518i | ||||
\(396\) | −28.3056 | + | 23.7512i | −1.42241 | + | 1.19354i | ||||
\(397\) | −23.5131 | + | 4.14599i | −1.18009 | + | 0.208081i | −0.729073 | − | 0.684435i | \(-0.760049\pi\) |
−0.451014 | + | 0.892517i | \(0.648938\pi\) | |||||||
\(398\) | 3.16022i | 0.158408i | ||||||||
\(399\) | 19.6112 | − | 12.3194i | 0.981790 | − | 0.616739i | ||||
\(400\) | −14.1192 | + | 11.5235i | −0.705960 | + | 0.576176i | ||||
\(401\) | −4.30049 | − | 24.3893i | −0.214756 | − | 1.21794i | −0.881329 | − | 0.472503i | \(-0.843351\pi\) |
0.666573 | − | 0.745440i | \(-0.267760\pi\) | |||||||
\(402\) | −2.24298 | − | 2.67307i | −0.111869 | − | 0.133321i | ||||
\(403\) | −2.21532 | − | 6.08655i | −0.110353 | − | 0.303192i | ||||
\(404\) | 24.5241 | + | 8.92606i | 1.22012 | + | 0.444088i | ||||
\(405\) | 1.75917 | − | 4.73280i | 0.0874141 | − | 0.235175i | ||||
\(406\) | −2.04949 | + | 3.54983i | −0.101715 | + | 0.176175i | ||||
\(407\) | 40.4398 | − | 23.3479i | 2.00452 | − | 1.15731i | ||||
\(408\) | −6.39111 | − | 1.12692i | −0.316407 | − | 0.0557911i | ||||
\(409\) | 1.71911 | − | 9.74958i | 0.0850047 | − | 0.482086i | −0.912351 | − | 0.409409i | \(-0.865735\pi\) |
0.997356 | − | 0.0726764i | \(-0.0231540\pi\) | |||||||
\(410\) | −1.04025 | − | 0.885013i | −0.0513744 | − | 0.0437077i | ||||
\(411\) | −19.8523 | + | 34.3852i | −0.979241 | + | 1.69609i | ||||
\(412\) | 5.03326 | − | 5.99841i | 0.247971 | − | 0.295520i | ||||
\(413\) | 3.44637 | − | 9.46884i | 0.169585 | − | 0.465931i | ||||
\(414\) | 5.30921 | − | 1.93240i | 0.260934 | − | 0.0949721i | ||||
\(415\) | 13.4071 | − | 22.8610i | 0.658130 | − | 1.12220i | ||||
\(416\) | 0.621311 | + | 3.52363i | 0.0304623 | + | 0.172760i | ||||
\(417\) | − | 43.2588i | − | 2.11839i | ||||||
\(418\) | −2.10843 | + | 3.98822i | −0.103127 | + | 0.195070i | ||||
\(419\) | −4.00810 | −0.195808 | −0.0979042 | − | 0.995196i | \(-0.531214\pi\) | ||||
−0.0979042 | + | 0.995196i | \(0.531214\pi\) | |||||||
\(420\) | −20.0409 | + | 11.3894i | −0.977895 | + | 0.555747i | ||||
\(421\) | 15.5339 | − | 13.0345i | 0.757077 | − | 0.635263i | −0.180287 | − | 0.983614i | \(-0.557703\pi\) |
0.937364 | + | 0.348351i | \(0.113258\pi\) | |||||||
\(422\) | −0.371774 | − | 1.02144i | −0.0180977 | − | 0.0497229i | ||||
\(423\) | −10.4150 | + | 28.6150i | −0.506395 | + | 1.39131i | ||||
\(424\) | −0.509024 | − | 0.427122i | −0.0247204 | − | 0.0207429i | ||||
\(425\) | −12.1421 | + | 1.97093i | −0.588981 | + | 0.0956042i | ||||
\(426\) | −0.265082 | − | 0.459135i | −0.0128432 | − | 0.0222451i | ||||
\(427\) | −5.35560 | − | 0.944337i | −0.259176 | − | 0.0456997i | ||||
\(428\) | 32.4044 | + | 5.71377i | 1.56632 | + | 0.276185i | ||||
\(429\) | 7.36016 | + | 12.7482i | 0.355352 | + | 0.615487i | ||||
\(430\) | 2.40289 | + | 0.440580i | 0.115877 | + | 0.0212467i | ||||
\(431\) | 10.3250 | + | 8.66371i | 0.497338 | + | 0.417316i | 0.856648 | − | 0.515902i | \(-0.172543\pi\) |
−0.359309 | + | 0.933219i | \(0.616988\pi\) | |||||||
\(432\) | −5.11609 | + | 14.0563i | −0.246148 | + | 0.676286i | ||||
\(433\) | 11.7578 | + | 32.3043i | 0.565045 | + | 1.55245i | 0.812144 | + | 0.583458i | \(0.198301\pi\) |
−0.247099 | + | 0.968990i | \(0.579477\pi\) | |||||||
\(434\) | −1.85352 | + | 1.55529i | −0.0889717 | + | 0.0746561i | ||||
\(435\) | 26.1433 | + | 46.0020i | 1.25348 | + | 2.20563i | ||||
\(436\) | −13.2628 | −0.635172 | ||||||||
\(437\) | −16.6051 | + | 15.0229i | −0.794330 | + | 0.718643i | ||||
\(438\) | − | 0.947808i | − | 0.0452880i | ||||||
\(439\) | −4.06648 | − | 23.0621i | −0.194082 | − | 1.10070i | −0.913720 | − | 0.406345i | \(-0.866803\pi\) |
0.719637 | − | 0.694350i | \(-0.244308\pi\) | |||||||
\(440\) | 4.61294 | − | 7.86570i | 0.219913 | − | 0.374983i | ||||
\(441\) | 13.6770 | − | 4.97801i | 0.651284 | − | 0.237048i | ||||
\(442\) | −0.261220 | + | 0.717696i | −0.0124250 | + | 0.0341373i | ||||
\(443\) | −1.54197 | + | 1.83765i | −0.0732612 | + | 0.0873093i | −0.801430 | − | 0.598088i | \(-0.795927\pi\) |
0.728169 | + | 0.685398i | \(0.240372\pi\) | |||||||
\(444\) | 29.3029 | − | 50.7542i | 1.39066 | − | 2.40869i | ||||
\(445\) | 3.23537 | − | 3.80288i | 0.153371 | − | 0.180274i | ||||
\(446\) | −0.390523 | + | 2.21476i | −0.0184918 | + | 0.104872i | ||||
\(447\) | 33.6151 | + | 5.92725i | 1.58994 | + | 0.280349i | ||||
\(448\) | −11.0919 | + | 6.40391i | −0.524043 | + | 0.302557i | ||||
\(449\) | 19.1010 | − | 33.0838i | 0.901430 | − | 1.56132i | 0.0757922 | − | 0.997124i | \(-0.475851\pi\) |
0.825638 | − | 0.564200i | \(-0.190815\pi\) | |||||||
\(450\) | 0.0748671 | − | 5.49859i | 0.00352927 | − | 0.259206i | ||||
\(451\) | −9.93864 | − | 3.61737i | −0.467992 | − | 0.170335i | ||||
\(452\) | 3.93126 | + | 10.8011i | 0.184911 | + | 0.508039i | ||||
\(453\) | 24.3611 | + | 29.0324i | 1.14458 | + | 1.36406i | ||||
\(454\) | 0.0254849 | + | 0.144532i | 0.00119606 | + | 0.00678322i | ||||
\(455\) | 1.84898 | + | 5.18969i | 0.0866816 | + | 0.243296i | ||||
\(456\) | 0.428585 | + | 11.4902i | 0.0200703 | + | 0.538077i | ||||
\(457\) | 1.87605i | 0.0877581i | 0.999037 | + | 0.0438790i | \(0.0139716\pi\) | ||||
−0.999037 | + | 0.0438790i | \(0.986028\pi\) | |||||||
\(458\) | 1.71303 | − | 0.302053i | 0.0800445 | − | 0.0141140i | ||||
\(459\) | −7.73430 | + | 6.48984i | −0.361006 | + | 0.302920i | ||||
\(460\) | 17.1703 | − | 14.2096i | 0.800571 | − | 0.662525i | ||||
\(461\) | −15.8060 | − | 5.75290i | −0.736157 | − | 0.267939i | −0.0533885 | − | 0.998574i | \(-0.517002\pi\) |
−0.682769 | + | 0.730634i | \(0.739224\pi\) | |||||||
\(462\) | 3.53462 | − | 4.21239i | 0.164445 | − | 0.195978i | ||||
\(463\) | −21.0999 | − | 12.1821i | −0.980598 | − | 0.566148i | −0.0781471 | − | 0.996942i | \(-0.524900\pi\) |
−0.902450 | + | 0.430794i | \(0.858234\pi\) | |||||||
\(464\) | 15.7485 | + | 27.2771i | 0.731104 | + | 1.26631i | ||||
\(465\) | 5.21410 | + | 30.7950i | 0.241798 | + | 1.42809i | ||||
\(466\) | 0.856118 | − | 4.85529i | 0.0396589 | − | 0.224917i | ||||
\(467\) | 11.8222 | − | 6.82553i | 0.547065 | − | 0.315848i | −0.200873 | − | 0.979617i | \(-0.564378\pi\) |
0.747937 | + | 0.663770i | \(0.231044\pi\) | |||||||
\(468\) | 9.59866 | + | 5.54179i | 0.443698 | + | 0.256169i | ||||
\(469\) | −7.74717 | − | 6.50065i | −0.357731 | − | 0.300172i | ||||
\(470\) | 0.0251900 | − | 3.70032i | 0.00116193 | − | 0.170683i | ||||
\(471\) | −46.8249 | + | 17.0429i | −2.15758 | + | 0.785293i | ||||
\(472\) | 3.21570 | + | 3.83233i | 0.148015 | + | 0.176397i | ||||
\(473\) | 18.6305 | − | 3.28505i | 0.856629 | − | 0.151047i | ||||
\(474\) | 4.05895 | 0.186434 | ||||||||
\(475\) | 7.93675 | + | 20.2980i | 0.364163 | + | 0.931335i | ||||
\(476\) | −9.26166 | −0.424507 | ||||||||
\(477\) | −3.05604 | + | 0.538862i | −0.139926 | + | 0.0246728i | ||||
\(478\) | −1.82828 | − | 2.17886i | −0.0836236 | − | 0.0996587i | ||||
\(479\) | −20.4294 | + | 7.43570i | −0.933444 | + | 0.339746i | −0.763574 | − | 0.645720i | \(-0.776557\pi\) |
−0.169870 | + | 0.985466i | \(0.554335\pi\) | |||||||
\(480\) | 0.117450 | − | 17.2529i | 0.00536082 | − | 0.787483i | ||||
\(481\) | −10.7298 | − | 9.00341i | −0.489239 | − | 0.410520i | ||||
\(482\) | 5.40532 | + | 3.12076i | 0.246206 | + | 0.142147i | ||||
\(483\) | 23.6378 | − | 13.6473i | 1.07556 | − | 0.620974i | ||||
\(484\) | 2.33183 | − | 13.2245i | 0.105992 | − | 0.601112i | ||||
\(485\) | −3.21395 | − | 18.9820i | −0.145938 | − | 0.861927i | ||||
\(486\) | 2.26080 | + | 3.91583i | 0.102552 | + | 0.177626i | ||||
\(487\) | 25.3273 | + | 14.6227i | 1.14769 | + | 0.662618i | 0.948323 | − | 0.317307i | \(-0.102778\pi\) |
0.199366 | + | 0.979925i | \(0.436112\pi\) | |||||||
\(488\) | 1.73549 | − | 2.06828i | 0.0785619 | − | 0.0936264i | ||||
\(489\) | 39.4572 | + | 14.3612i | 1.78431 | + | 0.649437i | ||||
\(490\) | −1.36258 | + | 1.12762i | −0.0615551 | + | 0.0509408i | ||||
\(491\) | −14.0612 | + | 11.7987i | −0.634572 | + | 0.532469i | −0.902346 | − | 0.431012i | \(-0.858157\pi\) |
0.267774 | + | 0.963482i | \(0.413712\pi\) | |||||||
\(492\) | −13.0724 | + | 2.30502i | −0.589350 | + | 0.103918i | ||||
\(493\) | 21.2593i | 0.957469i | ||||||||
\(494\) | 1.34046 | + | 0.185143i | 0.0603104 | + | 0.00832997i | ||||
\(495\) | −14.2920 | − | 40.1144i | −0.642376 | − | 1.80301i | ||||
\(496\) | 3.22853 | + | 18.3099i | 0.144965 | + | 0.822138i | ||||
\(497\) | −0.987664 | − | 1.17705i | −0.0443028 | − | 0.0527980i | ||||
\(498\) | 2.71383 | + | 7.45618i | 0.121609 | + | 0.334119i | ||||
\(499\) | 9.78774 | + | 3.56245i | 0.438159 | + | 0.159477i | 0.551675 | − | 0.834059i | \(-0.313989\pi\) |
−0.113516 | + | 0.993536i | \(0.536211\pi\) | |||||||
\(500\) | −7.00144 | − | 20.5315i | −0.313114 | − | 0.918196i | ||||
\(501\) | −8.51208 | + | 14.7434i | −0.380292 | + | 0.658685i | ||||
\(502\) | −3.25595 | + | 1.87982i | −0.145320 | + | 0.0839006i | ||||
\(503\) | −4.29111 | − | 0.756638i | −0.191331 | − | 0.0337368i | 0.0771614 | − | 0.997019i | \(-0.475414\pi\) |
−0.268492 | + | 0.963282i | \(0.586525\pi\) | |||||||
\(504\) | 1.46008 | − | 8.28051i | 0.0650370 | − | 0.368843i | ||||
\(505\) | −19.4898 | + | 22.9084i | −0.867282 | + | 1.01941i | ||||
\(506\) | −2.65836 | + | 4.60441i | −0.118178 | + | 0.204691i | ||||
\(507\) | −20.0442 | + | 23.8878i | −0.890196 | + | 1.06089i | ||||
\(508\) | −12.7279 | + | 34.9697i | −0.564711 | + | 1.55153i | ||||
\(509\) | −35.9534 | + | 13.0860i | −1.59361 | + | 0.580026i | −0.978106 | − | 0.208109i | \(-0.933269\pi\) |
−0.615502 | + | 0.788135i | \(0.711047\pi\) | |||||||
\(510\) | 1.86311 | − | 3.17686i | 0.0825000 | − | 0.140674i | ||||
\(511\) | −0.477005 | − | 2.70523i | −0.0211015 | − | 0.119672i | ||||
\(512\) | − | 17.2928i | − | 0.764239i | ||||||
\(513\) | 14.1224 | + | 10.9797i | 0.623517 | + | 0.484764i | ||||
\(514\) | −3.92470 | −0.173111 | ||||||||
\(515\) | 4.45884 | + | 7.84581i | 0.196480 | + | 0.345728i | ||||
\(516\) | 18.1882 | − | 15.2617i | 0.800690 | − | 0.671858i | ||||
\(517\) | −9.80074 | − | 26.9273i | −0.431036 | − | 1.18426i | ||||
\(518\) | −1.78957 | + | 4.91680i | −0.0786292 | + | 0.216032i | ||||
\(519\) | 5.80235 | + | 4.86875i | 0.254695 | + | 0.213714i | ||||
\(520\) | −2.69035 | − | 0.493288i | −0.117980 | − | 0.0216321i | ||||
\(521\) | 1.24406 | + | 2.15478i | 0.0545033 | + | 0.0944025i | 0.891990 | − | 0.452056i | \(-0.149309\pi\) |
−0.837486 | + | 0.546458i | \(0.815976\pi\) | |||||||
\(522\) | −9.35941 | − | 1.65032i | −0.409650 | − | 0.0722324i | ||||
\(523\) | −19.1578 | − | 3.37803i | −0.837712 | − | 0.147711i | −0.261696 | − | 0.965150i | \(-0.584282\pi\) |
−0.576015 | + | 0.817439i | \(0.695393\pi\) | |||||||
\(524\) | 0.298786 | + | 0.517512i | 0.0130525 | + | 0.0226076i | ||||
\(525\) | −4.25650 | − | 26.2227i | −0.185769 | − | 1.14445i | ||||
\(526\) | 2.66681 | + | 2.23772i | 0.116278 | + | 0.0975692i | ||||
\(527\) | −4.29206 | + | 11.7923i | −0.186965 | + | 0.513683i | ||||
\(528\) | −14.4517 | − | 39.7056i | −0.628928 | − | 1.72797i | ||||
\(529\) | −2.59720 | + | 2.17931i | −0.112922 | + | 0.0947525i | ||||
\(530\) | 0.327848 | − | 0.186319i | 0.0142408 | − | 0.00809317i | ||||
\(531\) | 23.3631 | 1.01387 | ||||||||
\(532\) | 3.44984 | + | 16.0427i | 0.149569 | + | 0.695538i | ||||
\(533\) | 3.17251i | 0.137417i | ||||||||
\(534\) | 0.259581 | + | 1.47215i | 0.0112332 | + | 0.0637064i | ||||
\(535\) | −19.1838 | + | 32.7110i | −0.829388 | + | 1.41422i | ||||
\(536\) | 4.71816 | − | 1.71727i | 0.203794 | − | 0.0741748i | ||||
\(537\) | 10.6567 | − | 29.2790i | 0.459869 | − | 1.26348i | ||||
\(538\) | −2.55228 | + | 3.04169i | −0.110037 | + | 0.131137i | ||||
\(539\) | −6.84814 | + | 11.8613i | −0.294970 | + | 0.510904i | ||||
\(540\) | −13.5609 | − | 11.5372i | −0.583568 | − | 0.496480i | ||||
\(541\) | 2.51035 | − | 14.2369i | 0.107928 | − | 0.612093i | −0.882082 | − | 0.471097i | \(-0.843858\pi\) |
0.990010 | − | 0.140996i | \(-0.0450305\pi\) | |||||||
\(542\) | 1.42659 | + | 0.251547i | 0.0612775 | + | 0.0108049i | ||||
\(543\) | 8.45804 | − | 4.88325i | 0.362969 | − | 0.209560i | ||||
\(544\) | 3.46608 | − | 6.00342i | 0.148607 | − | 0.257394i | ||||
\(545\) | 5.32544 | − | 14.3273i | 0.228117 | − | 0.613714i | ||||
\(546\) | −1.54997 | − | 0.564141i | −0.0663324 | − | 0.0241430i | ||||
\(547\) | −10.7381 | − | 29.5027i | −0.459128 | − | 1.26144i | −0.926136 | − | 0.377191i | \(-0.876890\pi\) |
0.467007 | − | 0.884253i | \(-0.345332\pi\) | |||||||
\(548\) | −18.0830 | − | 21.5504i | −0.772466 | − | 0.920589i | ||||
\(549\) | −2.18951 | − | 12.4173i | −0.0934461 | − | 0.529959i | ||||
\(550\) | 3.27200 | + | 4.00902i | 0.139518 | + | 0.170945i | ||||
\(551\) | 36.8244 | − | 7.91878i | 1.56877 | − | 0.337351i | ||||
\(552\) | 13.5511i | 0.576774i | ||||||||
\(553\) | 11.5850 | − | 2.04275i | 0.492646 | − | 0.0868667i | ||||
\(554\) | 1.18162 | − | 0.991497i | 0.0502022 | − | 0.0421247i | ||||
\(555\) | 43.0618 | + | 52.0344i | 1.82787 | + | 2.20874i | ||||
\(556\) | 28.8020 | + | 10.4831i | 1.22148 | + | 0.444581i | ||||
\(557\) | 19.5718 | − | 23.3248i | 0.829286 | − | 0.988304i | −0.170710 | − | 0.985321i | \(-0.554606\pi\) |
0.999996 | − | 0.00298303i | \(-0.000949529\pi\) | |||||||
\(558\) | −4.85840 | − | 2.80500i | −0.205673 | − | 0.118745i | ||||
\(559\) | −2.83729 | − | 4.91433i | −0.120005 | − | 0.207854i | ||||
\(560\) | −2.63998 | − | 15.5920i | −0.111560 | − | 0.658883i | ||||
\(561\) | 4.95241 | − | 28.0865i | 0.209091 | − | 1.18581i | ||||
\(562\) | 0.567337 | − | 0.327552i | 0.0239317 | − | 0.0138169i | ||||
\(563\) | −23.1239 | − | 13.3506i | −0.974558 | − | 0.562661i | −0.0739355 | − | 0.997263i | \(-0.523556\pi\) |
−0.900623 | + | 0.434602i | \(0.856889\pi\) | |||||||
\(564\) | −27.5502 | − | 23.1173i | −1.16007 | − | 0.973416i | ||||
\(565\) | −13.2465 | − | 0.0901761i | −0.557286 | − | 0.00379374i | ||||
\(566\) | 7.13650 | − | 2.59747i | 0.299970 | − | 0.109180i | ||||
\(567\) | 2.81621 | + | 3.35622i | 0.118270 | + | 0.140948i | ||||
\(568\) | 0.751261 | − | 0.132468i | 0.0315222 | − | 0.00555822i | ||||
\(569\) | 25.6513 | 1.07536 | 0.537679 | − | 0.843150i | \(-0.319301\pi\) | ||||
0.537679 | + | 0.843150i | \(0.319301\pi\) | |||||||
\(570\) | −6.19681 | − | 2.04387i | −0.259556 | − | 0.0856082i | ||||
\(571\) | 2.93559 | 0.122851 | 0.0614253 | − | 0.998112i | \(-0.480435\pi\) | ||||
0.0614253 | + | 0.998112i | \(0.480435\pi\) | |||||||
\(572\) | −10.2714 | + | 1.81113i | −0.429470 | + | 0.0757271i | ||||
\(573\) | −15.2665 | − | 18.1939i | −0.637768 | − | 0.760062i | ||||
\(574\) | 1.11364 | − | 0.405333i | 0.0464826 | − | 0.0169183i | ||||
\(575\) | 8.45564 | + | 24.2541i | 0.352624 | + | 1.01147i | ||||
\(576\) | −22.7484 | − | 19.0881i | −0.947848 | − | 0.795339i | ||||
\(577\) | 15.3921 | + | 8.88661i | 0.640780 | + | 0.369954i | 0.784915 | − | 0.619604i | \(-0.212707\pi\) |
−0.144135 | + | 0.989558i | \(0.546040\pi\) | |||||||
\(578\) | −2.31781 | + | 1.33819i | −0.0964083 | + | 0.0556613i | ||||
\(579\) | −0.200719 | + | 1.13833i | −0.00834158 | + | 0.0473075i | ||||
\(580\) | −36.9638 | + | 6.25857i | −1.53484 | + | 0.259873i | ||||
\(581\) | 11.4983 | + | 19.9156i | 0.477029 | + | 0.826238i | ||||
\(582\) | 4.99177 | + | 2.88200i | 0.206916 | + | 0.119463i | ||||
\(583\) | 1.87704 | − | 2.23697i | 0.0777391 | − | 0.0926458i | ||||
\(584\) | 1.28155 | + | 0.466447i | 0.0530310 | + | 0.0193017i | ||||
\(585\) | −9.84077 | + | 8.14387i | −0.406866 | + | 0.336708i | ||||
\(586\) | −0.162119 | + | 0.136034i | −0.00669709 | + | 0.00561952i | ||||
\(587\) | −22.7723 | + | 4.01538i | −0.939915 | + | 0.165732i | −0.622558 | − | 0.782574i | \(-0.713906\pi\) |
−0.317357 | + | 0.948306i | \(0.602795\pi\) | |||||||
\(588\) | 17.1896i | 0.708887i | ||||||||
\(589\) | 22.0250 | + | 3.04205i | 0.907522 | + | 0.125346i | ||||
\(590\) | −2.67438 | + | 0.952826i | −0.110102 | + | 0.0392272i | ||||
\(591\) | −7.24752 | − | 41.1027i | −0.298123 | − | 1.69074i | ||||
\(592\) | 25.8438 | + | 30.7994i | 1.06217 | + | 1.26585i | ||||
\(593\) | 5.86817 | + | 16.1227i | 0.240977 | + | 0.662078i | 0.999940 | + | 0.0109447i | \(0.00348389\pi\) |
−0.758963 | + | 0.651133i | \(0.774294\pi\) | |||||||
\(594\) | 3.99117 | + | 1.45267i | 0.163760 | + | 0.0596037i | ||||
\(595\) | 3.71886 | − | 10.0050i | 0.152458 | − | 0.410166i | ||||
\(596\) | −12.0925 | + | 20.9448i | −0.495327 | + | 0.857931i | ||||
\(597\) | −30.6550 | + | 17.6987i | −1.25463 | + | 0.724358i | ||||
\(598\) | 1.57057 | + | 0.276933i | 0.0642253 | + | 0.0113246i | ||||
\(599\) | 2.32632 | − | 13.1932i | 0.0950508 | − | 0.539060i | −0.899681 | − | 0.436548i | \(-0.856201\pi\) |
0.994732 | − | 0.102512i | \(-0.0326880\pi\) | |||||||
\(600\) | 12.3313 | + | 4.67933i | 0.503424 | + | 0.191033i | ||||
\(601\) | −4.13126 | + | 7.15554i | −0.168517 | + | 0.291881i | −0.937899 | − | 0.346909i | \(-0.887231\pi\) |
0.769381 | + | 0.638790i | \(0.220565\pi\) | |||||||
\(602\) | −1.36257 | + | 1.62385i | −0.0555342 | + | 0.0661830i | ||||
\(603\) | 8.01976 | − | 22.0341i | 0.326590 | − | 0.897298i | ||||
\(604\) | −25.2334 | + | 9.18421i | −1.02673 | + | 0.373700i | ||||
\(605\) | 13.3496 | + | 7.82905i | 0.542739 | + | 0.318296i | ||||
\(606\) | −1.56371 | − | 8.86822i | −0.0635212 | − | 0.360247i | ||||
\(607\) | − | 23.5191i | − | 0.954612i | −0.878737 | − | 0.477306i | \(-0.841613\pi\) | ||
0.878737 | − | 0.477306i | \(-0.158387\pi\) | |||||||
\(608\) | −11.6899 | − | 3.76761i | −0.474090 | − | 0.152797i | ||||
\(609\) | −45.9124 | −1.86046 | ||||||||
\(610\) | 0.757053 | + | 1.33212i | 0.0306522 | + | 0.0539358i | ||||
\(611\) | −6.58450 | + | 5.52505i | −0.266380 | + | 0.223520i | ||||
\(612\) | −7.34447 | − | 20.1788i | −0.296883 | − | 0.815679i | ||||
\(613\) | 10.2029 | − | 28.0323i | 0.412092 | − | 1.13221i | −0.543984 | − | 0.839095i | \(-0.683085\pi\) |
0.956076 | − | 0.293118i | \(-0.0946928\pi\) | |||||||
\(614\) | −1.68403 | − | 1.41307i | −0.0679619 | − | 0.0570268i | ||||
\(615\) | 2.75897 | − | 15.0472i | 0.111253 | − | 0.606762i | ||||
\(616\) | 3.95617 | + | 6.85228i | 0.159399 | + | 0.276086i | ||||
\(617\) | 11.4142 | + | 2.01262i | 0.459516 | + | 0.0810251i | 0.398614 | − | 0.917119i | \(-0.369491\pi\) |
0.0609020 | + | 0.998144i | \(0.480602\pi\) | |||||||
\(618\) | −2.66079 | − | 0.469169i | −0.107033 | − | 0.0188727i | ||||
\(619\) | 14.8349 | + | 25.6947i | 0.596264 | + | 1.03276i | 0.993367 | + | 0.114985i | \(0.0366820\pi\) |
−0.397104 | + | 0.917774i | \(0.629985\pi\) | |||||||
\(620\) | −21.7671 | − | 3.99109i | −0.874186 | − | 0.160286i | ||||
\(621\) | 16.1499 | + | 13.5514i | 0.648075 | + | 0.543799i | ||||
\(622\) | 0.956627 | − | 2.62831i | 0.0383573 | − | 0.105386i | ||||
\(623\) | 1.48179 | + | 4.07118i | 0.0593666 | + | 0.163108i | ||||
\(624\) | −9.70916 | + | 8.14695i | −0.388677 | + | 0.326139i | ||||
\(625\) | 24.9907 | + | 0.680658i | 0.999629 | + | 0.0272263i | ||||
\(626\) | −1.92287 | −0.0768532 | ||||||||
\(627\) | −50.4950 | + | 1.88347i | −2.01658 | + | 0.0752185i | ||||
\(628\) | − | 35.3063i | − | 1.40888i | ||||||
\(629\) | 4.71236 | + | 26.7251i | 0.187894 | + | 1.06560i | ||||
\(630\) | 4.11604 | + | 2.41390i | 0.163987 | + | 0.0961722i | ||||
\(631\) | 23.0191 | − | 8.37827i | 0.916376 | − | 0.333534i | 0.159580 | − | 0.987185i | \(-0.448986\pi\) |
0.756796 | + | 0.653651i | \(0.226764\pi\) | |||||||
\(632\) | −1.99754 | + | 5.48819i | −0.0794578 | + | 0.218308i | ||||
\(633\) | 7.82614 | − | 9.32683i | 0.311061 | − | 0.370708i | ||||
\(634\) | −2.02017 | + | 3.49904i | −0.0802313 | + | 0.138965i | ||||
\(635\) | −32.6658 | − | 27.7910i | −1.29630 | − | 1.10285i | ||||
\(636\) | 0.636414 | − | 3.60928i | 0.0252354 | − | 0.143117i | ||||
\(637\) | 4.04591 | + | 0.713402i | 0.160305 | + | 0.0282660i | ||||
\(638\) | 7.74509 | − | 4.47163i | 0.306631 | − | 0.177034i | ||||
\(639\) | 1.78128 | − | 3.08527i | 0.0704663 | − | 0.122051i | ||||
\(640\) | 15.1941 | + | 5.64762i | 0.600599 | + | 0.223242i | ||||
\(641\) | −11.6336 | − | 4.23428i | −0.459499 | − | 0.167244i | 0.101890 | − | 0.994796i | \(-0.467511\pi\) |
−0.561390 | + | 0.827552i | \(0.689733\pi\) | |||||||
\(642\) | −3.88312 | − | 10.6688i | −0.153254 | − | 0.421063i | ||||
\(643\) | −29.5099 | − | 35.1685i | −1.16376 | − | 1.38691i | −0.907369 | − | 0.420336i | \(-0.861912\pi\) |
−0.256387 | − | 0.966574i | \(-0.582532\pi\) | |||||||
\(644\) | 3.35822 | + | 19.0454i | 0.132332 | + | 0.750494i | ||||
\(645\) | 9.18351 | + | 25.7761i | 0.361600 | + | 1.01493i | ||||
\(646\) | −1.75891 | − | 1.94415i | −0.0692032 | − | 0.0764916i | ||||
\(647\) | 33.6773i | 1.32399i | 0.749508 | + | 0.661996i | \(0.230290\pi\) | ||||
−0.749508 | + | 0.661996i | \(0.769710\pi\) | |||||||
\(648\) | −2.14213 | + | 0.377716i | −0.0841509 | + | 0.0148381i | ||||
\(649\) | −16.8416 | + | 14.1318i | −0.661092 | + | 0.554722i | ||||
\(650\) | 0.794337 | − | 1.33357i | 0.0311565 | − | 0.0523068i | ||||
\(651\) | −25.4672 | − | 9.26931i | −0.998139 | − | 0.363293i | ||||
\(652\) | −19.1236 | + | 22.7906i | −0.748937 | + | 0.892549i | ||||
\(653\) | 17.0057 | + | 9.81827i | 0.665486 | + | 0.384219i | 0.794364 | − | 0.607442i | \(-0.207804\pi\) |
−0.128878 | + | 0.991660i | \(0.541138\pi\) | |||||||
\(654\) | 2.28813 | + | 3.96316i | 0.0894731 | + | 0.154972i | ||||
\(655\) | −0.679022 | + | 0.114969i | −0.0265316 | + | 0.00449223i | ||||
\(656\) | 1.58133 | − | 8.96816i | 0.0617405 | − | 0.350148i | ||||
\(657\) | 5.51574 | − | 3.18451i | 0.215189 | − | 0.124240i | ||||
\(658\) | 2.78072 | + | 1.60545i | 0.108404 | + | 0.0625869i | ||||
\(659\) | −15.9102 | − | 13.3503i | −0.619775 | − | 0.520053i | 0.277958 | − | 0.960593i | \(-0.410342\pi\) |
−0.897733 | + | 0.440540i | \(0.854787\pi\) | |||||||
\(660\) | 50.2924 | + | 0.342367i | 1.95763 | + | 0.0133266i | ||||
\(661\) | −12.4567 | + | 4.53386i | −0.484508 | + | 0.176347i | −0.572713 | − | 0.819756i | \(-0.694109\pi\) |
0.0882049 | + | 0.996102i | \(0.471887\pi\) | |||||||
\(662\) | −1.24373 | − | 1.48222i | −0.0483390 | − | 0.0576082i | ||||
\(663\) | −8.42480 | + | 1.48552i | −0.327192 | + | 0.0576928i | ||||
\(664\) | −11.4172 | −0.443074 | ||||||||
\(665\) | −18.7155 | − | 2.71492i | −0.725757 | − | 0.105280i | ||||
\(666\) | −12.1316 | −0.470089 | ||||||||
\(667\) | 43.7170 | − | 7.70848i | 1.69273 | − | 0.298473i | ||||
\(668\) | −7.75345 | − | 9.24020i | −0.299990 | − | 0.357514i | ||||
\(669\) | −23.6709 | + | 8.61551i | −0.915171 | + | 0.333095i | ||||
\(670\) | −0.0193968 | + | 2.84931i | −0.000749364 | + | 0.110079i | ||||
\(671\) | 9.08930 | + | 7.62682i | 0.350888 | + | 0.294430i | ||||
\(672\) | 12.9652 | + | 7.48548i | 0.500144 | + | 0.288759i | ||||
\(673\) | −11.1350 | + | 6.42879i | −0.429223 | + | 0.247812i | −0.699015 | − | 0.715107i | \(-0.746378\pi\) |
0.269793 | + | 0.962918i | \(0.413045\pi\) | |||||||
\(674\) | −0.808138 | + | 4.58318i | −0.0311283 | + | 0.176537i | ||||
\(675\) | 17.9083 | − | 10.0168i | 0.689292 | − | 0.385547i | ||||
\(676\) | −11.0472 | − | 19.1344i | −0.424894 | − | 0.735937i | ||||
\(677\) | 22.1332 | + | 12.7786i | 0.850649 | + | 0.491122i | 0.860870 | − | 0.508825i | \(-0.169920\pi\) |
−0.0102207 | + | 0.999948i | \(0.503253\pi\) | |||||||
\(678\) | 2.54932 | − | 3.03816i | 0.0979062 | − | 0.116680i | ||||
\(679\) | 15.6979 | + | 5.71357i | 0.602431 | + | 0.219267i | ||||
\(680\) | 3.37861 | + | 4.08259i | 0.129564 | + | 0.156560i | ||||
\(681\) | −1.25927 | + | 1.05665i | −0.0482554 | + | 0.0404911i | ||||
\(682\) | 5.19893 | − | 0.916711i | 0.199077 | − | 0.0351027i | ||||
\(683\) | 22.8692i | 0.875064i | 0.899203 | + | 0.437532i | \(0.144147\pi\) | ||||
−0.899203 | + | 0.437532i | \(0.855853\pi\) | |||||||
\(684\) | −32.2171 | + | 20.2381i | −1.23185 | + | 0.773824i | ||||
\(685\) | 30.5411 | − | 10.8812i | 1.16691 | − | 0.415748i | ||||
\(686\) | −0.843090 | − | 4.78140i | −0.0321893 | − | 0.182555i | ||||
\(687\) | 12.5237 | + | 14.9252i | 0.477810 | + | 0.569432i | ||||
\(688\) | 5.57101 | + | 15.3062i | 0.212393 | + | 0.583545i | ||||
\(689\) | −0.823102 | − | 0.299585i | −0.0313577 | − | 0.0114133i | ||||
\(690\) | −7.20836 | − | 2.67934i | −0.274418 | − | 0.102001i | ||||
\(691\) | 16.1574 | − | 27.9854i | 0.614657 | − | 1.06462i | −0.375788 | − | 0.926706i | \(-0.622628\pi\) |
0.990445 | − | 0.137911i | \(-0.0440388\pi\) | |||||||
\(692\) | −4.64774 | + | 2.68337i | −0.176681 | + | 0.102007i | ||||
\(693\) | 36.3897 | + | 6.41649i | 1.38233 | + | 0.243742i | ||||
\(694\) | −0.231972 | + | 1.31558i | −0.00880554 | + | 0.0499387i | ||||
\(695\) | −22.8894 | + | 26.9045i | −0.868245 | + | 1.02054i | ||||
\(696\) | 11.3972 | − | 19.7405i | 0.432009 | − | 0.748262i | ||||
\(697\) | 3.95093 | − | 4.70854i | 0.149652 | − | 0.178349i | ||||
\(698\) | −0.523801 | + | 1.43913i | −0.0198262 | + | 0.0544719i | ||||
\(699\) | 51.8922 | − | 18.8872i | 1.96274 | − | 0.714381i | ||||
\(700\) | 18.4907 | + | 3.52062i | 0.698883 | + | 0.133067i | ||||
\(701\) | 6.03353 | + | 34.2179i | 0.227883 | + | 1.29239i | 0.857096 | + | 0.515157i | \(0.172266\pi\) |
−0.629212 | + | 0.777233i | \(0.716622\pi\) | |||||||
\(702\) | − | 1.27402i | − | 0.0480848i | ||||||
\(703\) | 44.5369 | − | 18.1173i | 1.67974 | − | 0.683307i | ||||
\(704\) | 27.9444 | 1.05319 | ||||||||
\(705\) | 36.0351 | − | 20.4791i | 1.35716 | − | 0.771287i | ||||
\(706\) | 1.55330 | − | 1.30337i | 0.0584593 | − | 0.0490531i | ||||
\(707\) | −8.92625 | − | 24.5247i | −0.335706 | − | 0.922345i | ||||
\(708\) | −9.43724 | + | 25.9286i | −0.354673 | + | 0.974457i | ||||
\(709\) | −6.13431 | − | 5.14730i | −0.230379 | − | 0.193311i | 0.520290 | − | 0.853990i | \(-0.325824\pi\) |
−0.750669 | + | 0.660679i | \(0.770268\pi\) | |||||||
\(710\) | −0.0780754 | + | 0.425817i | −0.00293012 | + | 0.0159806i | ||||
\(711\) | 13.6375 | + | 23.6209i | 0.511448 | + | 0.885853i | ||||
\(712\) | −2.11828 | − | 0.373510i | −0.0793859 | − | 0.0139979i | ||||
\(713\) | 25.8057 | + | 4.55025i | 0.966432 | + | 0.170408i | ||||
\(714\) | 1.59785 | + | 2.76755i | 0.0597980 | + | 0.103573i | ||||
\(715\) | 2.16781 | − | 11.8231i | 0.0810717 | − | 0.442158i | ||||
\(716\) | 16.9116 | + | 14.1905i | 0.632018 | + | 0.530326i | ||||
\(717\) | 10.8963 | − | 29.9374i | 0.406931 | − | 1.11803i | ||||
\(718\) | −1.09418 | − | 3.00622i | −0.0408343 | − | 0.112191i | ||||
\(719\) | −10.9307 | + | 9.17191i | −0.407645 | + | 0.342055i | −0.823440 | − | 0.567404i | \(-0.807948\pi\) |
0.415795 | + | 0.909458i | \(0.363503\pi\) | |||||||
\(720\) | 31.8775 | − | 18.1163i | 1.18800 | − | 0.675154i | ||||
\(721\) | −7.83053 | −0.291624 | ||||||||
\(722\) | −2.71241 | + | 3.77087i | −0.100946 | + | 0.140337i | ||||
\(723\) | 69.9107i | 2.60001i | ||||||||
\(724\) | 1.20163 | + | 6.81478i | 0.0446582 | + | 0.253269i | ||||
\(725\) | 8.08126 | − | 42.4437i | 0.300131 | − | 1.57632i | ||||
\(726\) | −4.35401 | + | 1.58473i | −0.161593 | + | 0.0588149i | ||||
\(727\) | 1.07271 | − | 2.94724i | 0.0397846 | − | 0.109307i | −0.918210 | − | 0.396095i | \(-0.870365\pi\) |
0.957994 | + | 0.286788i | \(0.0925874\pi\) | |||||||
\(728\) | 1.52558 | − | 1.81811i | 0.0565416 | − | 0.0673836i | ||||
\(729\) | −21.9360 | + | 37.9942i | −0.812444 | + | 1.40719i | ||||
\(730\) | −0.501511 | + | 0.589481i | −0.0185617 | + | 0.0218177i | ||||
\(731\) | −1.90912 | + | 10.8272i | −0.0706113 | + | 0.400457i | ||||
\(732\) | 14.6653 | + | 2.58589i | 0.542045 | + | 0.0955772i | ||||
\(733\) | −10.7391 | + | 6.20021i | −0.396657 | + | 0.229010i | −0.685041 | − | 0.728505i | \(-0.740216\pi\) |
0.288384 | + | 0.957515i | \(0.406882\pi\) | |||||||
\(734\) | −3.18972 | + | 5.52476i | −0.117735 | + | 0.203922i | ||||
\(735\) | −18.5693 | − | 6.90219i | −0.684940 | − | 0.254591i | ||||
\(736\) | −13.6020 | − | 4.95074i | −0.501378 | − | 0.182487i | ||||
\(737\) | 7.54676 | + | 20.7346i | 0.277988 | + | 0.763767i | ||||
\(738\) | 1.76623 | + | 2.10492i | 0.0650160 | + | 0.0774830i | ||||
\(739\) | 1.62242 | + | 9.20119i | 0.0596816 | + | 0.338471i | 0.999998 | − | 0.00182926i | \(-0.000582271\pi\) |
−0.940317 | + | 0.340301i | \(0.889471\pi\) | |||||||
\(740\) | −45.0801 | + | 16.0611i | −1.65718 | + | 0.590419i | ||||
\(741\) | 5.71127 | + | 14.0398i | 0.209809 | + | 0.515763i | ||||
\(742\) | 0.327209i | 0.0120122i | ||||||||
\(743\) | −37.7365 | + | 6.65396i | −1.38442 | + | 0.244110i | −0.815725 | − | 0.578441i | \(-0.803661\pi\) |
−0.568692 | + | 0.822551i | \(0.692550\pi\) | |||||||
\(744\) | 10.3074 | − | 8.64890i | 0.377886 | − | 0.317084i | ||||
\(745\) | −17.7704 | − | 21.4731i | −0.651055 | − | 0.786712i | ||||
\(746\) | 6.24803 | + | 2.27410i | 0.228757 | + | 0.0832606i | ||||
\(747\) | −34.2729 | + | 40.8448i | −1.25398 | + | 1.49443i | ||||
\(748\) | 17.5000 | + | 10.1036i | 0.639864 | + | 0.369426i | ||||
\(749\) | −16.4525 | − | 28.4965i | −0.601160 | − | 1.04124i | ||||
\(750\) | −4.92728 | + | 5.63431i | −0.179919 | + | 0.205736i | ||||
\(751\) | −8.51519 | + | 48.2921i | −0.310724 | + | 1.76220i | 0.284533 | + | 0.958666i | \(0.408162\pi\) |
−0.595257 | + | 0.803536i | \(0.702950\pi\) | |||||||
\(752\) | 21.3672 | − | 12.3364i | 0.779183 | − | 0.449861i | ||||
\(753\) | −36.4696 | − | 21.0557i | −1.32902 | − | 0.767313i | ||||
\(754\) | −2.05500 | − | 1.72435i | −0.0748386 | − | 0.0627971i | ||||
\(755\) | 0.210669 | − | 30.9465i | 0.00766704 | − | 1.12626i | ||||
\(756\) | 14.5176 | − | 5.28399i | 0.528001 | − | 0.192177i | ||||
\(757\) | −23.6504 | − | 28.1855i | −0.859590 | − | 1.02442i | −0.999414 | − | 0.0342429i | \(-0.989098\pi\) |
0.139824 | − | 0.990176i | \(-0.455346\pi\) | |||||||
\(758\) | −3.29842 | + | 0.581600i | −0.119804 | + | 0.0211247i | ||||
\(759\) | −59.5521 | −2.16160 | ||||||||
\(760\) | 5.81321 | − | 7.37299i | 0.210867 | − | 0.267447i | ||||
\(761\) | −0.255560 | −0.00926406 | −0.00463203 | − | 0.999989i | \(-0.501474\pi\) | ||||
−0.00463203 | + | 0.999989i | \(0.501474\pi\) | |||||||
\(762\) | 12.6455 | − | 2.22973i | 0.458096 | − | 0.0807748i | ||||
\(763\) | 8.52533 | + | 10.1601i | 0.308638 | + | 0.367820i | ||||
\(764\) | 15.8132 | − | 5.75554i | 0.572102 | − | 0.208228i | ||||
\(765\) | 24.7475 | + | 0.168469i | 0.894746 | + | 0.00609101i | ||||
\(766\) | −1.91990 | − | 1.61099i | −0.0693690 | − | 0.0582075i | ||||
\(767\) | 5.71114 | + | 3.29733i | 0.206217 | + | 0.119060i | ||||
\(768\) | 27.1058 | − | 15.6495i | 0.978096 | − | 0.564704i | ||||
\(769\) | 1.64209 | − | 9.31277i | 0.0592154 | − | 0.335827i | −0.940780 | − | 0.339019i | \(-0.889905\pi\) |
0.999995 | + | 0.00319194i | \(0.00101603\pi\) | |||||||
\(770\) | −4.42721 | + | 0.749599i | −0.159546 | + | 0.0270137i | ||||
\(771\) | −21.9801 | − | 38.0707i | −0.791594 | − | 1.37108i | ||||
\(772\) | −0.709267 | − | 0.409495i | −0.0255271 | − | 0.0147381i | ||||
\(773\) | −19.4288 | + | 23.1544i | −0.698807 | + | 0.832806i | −0.992391 | − | 0.123128i | \(-0.960708\pi\) |
0.293584 | + | 0.955933i | \(0.405152\pi\) | |||||||
\(774\) | −4.61846 | − | 1.68098i | −0.166007 | − | 0.0604217i | ||||
\(775\) | 13.0516 | − | 21.9116i | 0.468828 | − | 0.787089i | ||||
\(776\) | −6.35342 | + | 5.33116i | −0.228075 | + | 0.191377i | ||||
\(777\) | −57.7167 | + | 10.1770i | −2.07058 | + | 0.365098i | ||||
\(778\) | − | 1.23625i | − | 0.0443217i | ||||||
\(779\) | −9.62760 | − | 5.08978i | −0.344945 | − | 0.182360i | ||||
\(780\) | −5.06309 | − | 14.2110i | −0.181288 | − | 0.508835i | ||||
\(781\) | 0.582145 | + | 3.30151i | 0.0208308 | + | 0.118137i | ||||
\(782\) | −1.98610 | − | 2.36695i | −0.0710229 | − | 0.0846418i | ||||
\(783\) | −12.1289 | − | 33.3239i | −0.433451 | − | 1.19090i | ||||
\(784\) | −11.0815 | − | 4.03334i | −0.395768 | − | 0.144048i | ||||
\(785\) | 38.1401 | + | 14.1766i | 1.36128 | + | 0.505986i | ||||
\(786\) | 0.103095 | − | 0.178565i | 0.00367727 | − | 0.00636922i | ||||
\(787\) | 31.5212 | − | 18.1988i | 1.12361 | − | 0.648717i | 0.181291 | − | 0.983430i | \(-0.441973\pi\) |
0.942320 | + | 0.334712i | \(0.108639\pi\) | |||||||
\(788\) | 29.1228 | + | 5.13513i | 1.03746 | + | 0.182931i | ||||
\(789\) | −6.77114 | + | 38.4010i | −0.241059 | + | 1.36711i | ||||
\(790\) | −2.52443 | − | 2.14770i | −0.0898151 | − | 0.0764117i | ||||
\(791\) | 5.74724 | − | 9.95452i | 0.204348 | − | 0.353942i | ||||
\(792\) | −11.7921 | + | 14.0533i | −0.419015 | + | 0.499363i | ||||
\(793\) | 1.21728 | − | 3.34444i | 0.0432268 | − | 0.118765i | ||||
\(794\) | −5.48507 | + | 1.99640i | −0.194658 | + | 0.0708497i | ||||
\(795\) | 3.64344 | + | 2.13674i | 0.129219 | + | 0.0757824i | ||||
\(796\) | −4.35514 | − | 24.6993i | −0.154364 | − | 0.875442i | ||||
\(797\) | − | 19.2118i | − | 0.680517i | −0.940332 | − | 0.340258i | \(-0.889485\pi\) | ||
0.940332 | − | 0.340258i | \(-0.110515\pi\) | |||||||
\(798\) | 4.19867 | − | 3.79860i | 0.148631 | − | 0.134469i | ||||
\(799\) | 16.6532 | 0.589148 | ||||||||
\(800\) | −9.20202 | + | 10.6681i | −0.325340 | + | 0.377176i | ||||
\(801\) | −7.69500 | + | 6.45687i | −0.271889 | + | 0.228142i | ||||
\(802\) | −2.07080 | − | 5.68947i | −0.0731224 | − | 0.200902i | ||||
\(803\) | −2.04986 | + | 5.63194i | −0.0723379 | + | 0.198747i | ||||
\(804\) | 21.2142 | + | 17.8008i | 0.748166 | + | 0.627786i | ||||
\(805\) | −21.9225 | − | 4.01959i | −0.772667 | − | 0.141672i | ||||
\(806\) | −0.791760 | − | 1.37137i | −0.0278886 | − | 0.0483044i | ||||
\(807\) | −43.7992 | − | 7.72298i | −1.54180 | − | 0.271862i | ||||
\(808\) | 12.7605 | + | 2.25001i | 0.448911 | + | 0.0791552i | ||||
\(809\) | −21.5251 | − | 37.2825i | −0.756781 | − | 1.31078i | −0.944484 | − | 0.328557i | \(-0.893438\pi\) |
0.187703 | − | 0.982226i | \(-0.439896\pi\) | |||||||
\(810\) | 0.222623 | − | 1.21417i | 0.00782217 | − | 0.0426614i | ||||
\(811\) | −23.9988 | − | 20.1373i | −0.842710 | − | 0.707118i | 0.115461 | − | 0.993312i | \(-0.463165\pi\) |
−0.958172 | + | 0.286194i | \(0.907610\pi\) | |||||||
\(812\) | 11.1261 | − | 30.5687i | 0.390450 | − | 1.07275i | ||||
\(813\) | 5.54950 | + | 15.2471i | 0.194629 | + | 0.534740i | ||||
\(814\) | 8.74521 | − | 7.33810i | 0.306520 | − | 0.257200i | ||||
\(815\) | −16.9411 | − | 29.8097i | −0.593422 | − | 1.04419i | ||||
\(816\) | 24.5560 | 0.859631 | ||||||||
\(817\) | 19.4655 | − | 0.726064i | 0.681011 | − | 0.0254018i | ||||
\(818\) | − | 2.42032i | − | 0.0846245i | ||||||
\(819\) | −1.92468 | − | 10.9154i | −0.0672539 | − | 0.381416i | ||||
\(820\) | 9.34992 | + | 5.48338i | 0.326513 | + | 0.191488i | ||||
\(821\) | −16.0413 | + | 5.83857i | −0.559847 | + | 0.203768i | −0.606416 | − | 0.795148i | \(-0.707393\pi\) |
0.0465693 | + | 0.998915i | \(0.485171\pi\) | |||||||
\(822\) | −3.31994 | + | 9.12147i | −0.115796 | + | 0.318148i | ||||
\(823\) | −23.3420 | + | 27.8179i | −0.813650 | + | 0.969670i | −0.999918 | − | 0.0128292i | \(-0.995916\pi\) |
0.186268 | + | 0.982499i | \(0.440361\pi\) | |||||||
\(824\) | 1.94383 | − | 3.36682i | 0.0677166 | − | 0.117289i | ||||
\(825\) | −20.5639 | + | 54.1916i | −0.715943 | + | 1.88671i | ||||
\(826\) | 0.427779 | − | 2.42606i | 0.0148843 | − | 0.0844133i | ||||
\(827\) | 19.0492 | + | 3.35888i | 0.662404 | + | 0.116800i | 0.494735 | − | 0.869044i | \(-0.335265\pi\) |
0.167669 | + | 0.985843i | \(0.446376\pi\) | |||||||
\(828\) | −38.8320 | + | 22.4197i | −1.34951 | + | 0.779138i | ||||
\(829\) | −10.0921 | + | 17.4801i | −0.350514 | + | 0.607109i | −0.986340 | − | 0.164724i | \(-0.947327\pi\) |
0.635825 | + | 0.771833i | \(0.280660\pi\) | |||||||
\(830\) | 2.25742 | − | 6.07326i | 0.0783563 | − | 0.210806i | ||||
\(831\) | 16.2354 | + | 5.90920i | 0.563200 | + | 0.204988i | ||||
\(832\) | −2.86687 | − | 7.87666i | −0.0993909 | − | 0.273074i | ||||
\(833\) | −5.11636 | − | 6.09744i | −0.177271 | − | 0.211264i | ||||
\(834\) | −1.83647 | − | 10.4151i | −0.0635917 | − | 0.360647i | ||||
\(835\) | 13.0951 | − | 4.66553i | 0.453176 | − | 0.161457i | ||||
\(836\) | 10.9826 | − | 34.0763i | 0.379841 | − | 1.17855i | ||||
\(837\) | − | 20.9332i | − | 0.723557i | ||||||
\(838\) | −0.965002 | + | 0.170156i | −0.0333355 | + | 0.00587794i | ||||
\(839\) | −19.7800 | + | 16.5974i | −0.682880 | + | 0.573005i | −0.916846 | − | 0.399240i | \(-0.869274\pi\) |
0.233966 | + | 0.972245i | \(0.424830\pi\) | |||||||
\(840\) | −8.81692 | + | 7.29658i | −0.304213 | + | 0.251756i | ||||
\(841\) | −42.9165 | − | 15.6203i | −1.47988 | − | 0.538632i | ||||
\(842\) | 3.18664 | − | 3.79769i | 0.109819 | − | 0.130877i | ||||
\(843\) | 6.35469 | + | 3.66888i | 0.218867 | + | 0.126363i | ||||
\(844\) | 4.31332 | + | 7.47089i | 0.148471 | + | 0.257159i | ||||
\(845\) | 25.1060 | − | 4.25085i | 0.863673 | − | 0.146234i | ||||
\(846\) | −1.29276 | + | 7.33159i | −0.0444459 | + | 0.252065i | ||||
\(847\) | −11.6296 | + | 6.71438i | −0.399599 | + | 0.230709i | ||||
\(848\) | 2.17745 | + | 1.25715i | 0.0747738 | + | 0.0431707i | ||||
\(849\) | 65.1639 | + | 54.6790i | 2.23642 | + | 1.87658i | ||||
\(850\) | −2.83971 | + | 0.989999i | −0.0974012 | + | 0.0339567i | ||||
\(851\) | 53.2482 | − | 19.3807i | 1.82532 | − | 0.664363i | ||||
\(852\) | 2.70453 | + | 3.22313i | 0.0926557 | + | 0.110423i | ||||
\(853\) | 14.1058 | − | 2.48724i | 0.482974 | − | 0.0851613i | 0.0731404 | − | 0.997322i | \(-0.476698\pi\) |
0.409834 | + | 0.912160i | \(0.365587\pi\) | |||||||
\(854\) | −1.32952 | −0.0454953 | ||||||||
\(855\) | −8.92627 | − | 42.9293i | −0.305272 | − | 1.46815i | ||||
\(856\) | 16.3365 | 0.558370 | ||||||||
\(857\) | −23.8963 | + | 4.21356i | −0.816281 | + | 0.143932i | −0.566174 | − | 0.824286i | \(-0.691577\pi\) |
−0.250107 | + | 0.968218i | \(0.580466\pi\) | |||||||
\(858\) | 2.31325 | + | 2.75683i | 0.0789732 | + | 0.0941166i | ||||
\(859\) | 38.0794 | − | 13.8598i | 1.29925 | − | 0.472889i | 0.402499 | − | 0.915421i | \(-0.368142\pi\) |
0.896753 | + | 0.442532i | \(0.145920\pi\) | |||||||
\(860\) | −19.3873 | − | 0.131980i | −0.661103 | − | 0.00450048i | ||||
\(861\) | 10.1687 | + | 8.53259i | 0.346550 | + | 0.290790i | ||||
\(862\) | 2.85368 | + | 1.64757i | 0.0971968 | + | 0.0561166i | ||||
\(863\) | −19.8458 | + | 11.4580i | −0.675560 | + | 0.390035i | −0.798180 | − | 0.602419i | \(-0.794204\pi\) |
0.122620 | + | 0.992454i | \(0.460870\pi\) | |||||||
\(864\) | −2.00798 | + | 11.3878i | −0.0683129 | + | 0.387422i | ||||
\(865\) | −1.03253 | − | 6.09825i | −0.0351072 | − | 0.207347i | ||||
\(866\) | 4.20227 | + | 7.27854i | 0.142799 | + | 0.247335i | ||||
\(867\) | −25.9616 | − | 14.9889i | −0.881702 | − | 0.509051i | ||||
\(868\) | 12.3431 | − | 14.7100i | 0.418953 | − | 0.499289i | ||||
\(869\) | −24.1185 | − | 8.77843i | −0.818165 | − | 0.297788i | ||||
\(870\) | 8.24727 | + | 9.96571i | 0.279609 | + | 0.337869i | ||||
\(871\) | 5.07019 | − | 4.25440i | 0.171797 | − | 0.144155i | ||||
\(872\) | −6.48474 | + | 1.14344i | −0.219601 | + | 0.0387216i | ||||
\(873\) | 38.7326i | 1.31090i | ||||||||
\(874\) | −3.36013 | + | 4.32190i | −0.113658 | + | 0.146190i | ||||
\(875\) | −11.2278 | + | 18.5612i | −0.379570 | + | 0.627483i | ||||
\(876\) | 1.30619 | + | 7.40776i | 0.0441320 | + | 0.250285i | ||||
\(877\) | 31.9434 | + | 38.0686i | 1.07865 | + | 1.28549i | 0.956105 | + | 0.293024i | \(0.0946615\pi\) |
0.122546 | + | 0.992463i | \(0.460894\pi\) | |||||||
\(878\) | −1.95812 | − | 5.37988i | −0.0660832 | − | 0.181562i | ||||
\(879\) | −2.22751 | − | 0.810748i | −0.0751321 | − | 0.0273458i | ||||
\(880\) | −12.0212 | + | 32.3413i | −0.405236 | + | 1.09023i | ||||
\(881\) | 5.51788 | − | 9.55725i | 0.185902 | − | 0.321992i | −0.757978 | − | 0.652280i | \(-0.773813\pi\) |
0.943880 | + | 0.330288i | \(0.107146\pi\) | |||||||
\(882\) | 3.08158 | − | 1.77915i | 0.103762 | − | 0.0599071i | ||||
\(883\) | −21.7883 | − | 3.84187i | −0.733235 | − | 0.129289i | −0.205451 | − | 0.978667i | \(-0.565866\pi\) |
−0.527785 | + | 0.849378i | \(0.676977\pi\) | |||||||
\(884\) | 1.05254 | − | 5.96927i | 0.0354009 | − | 0.200768i | ||||
\(885\) | −24.2204 | − | 20.6059i | −0.814159 | − | 0.692660i | ||||
\(886\) | −0.293236 | + | 0.507899i | −0.00985145 | + | 0.0170632i | ||||
\(887\) | 12.8769 | − | 15.3461i | 0.432365 | − | 0.515272i | −0.505238 | − | 0.862980i | \(-0.668595\pi\) |
0.937603 | + | 0.347708i | \(0.113040\pi\) | |||||||
\(888\) | 9.95175 | − | 27.3422i | 0.333959 | − | 0.917544i | ||||
\(889\) | 34.9704 | − | 12.7282i | 1.17287 | − | 0.426890i | ||||
\(890\) | 0.617513 | − | 1.05294i | 0.0206991 | − | 0.0352948i | ||||
\(891\) | −1.65992 | − | 9.41387i | −0.0556094 | − | 0.315376i | ||||
\(892\) | − | 17.8481i | − | 0.597597i | ||||||
\(893\) | −6.20309 | − | 28.8460i | −0.207578 | − | 0.965295i | ||||
\(894\) | 8.34491 | 0.279095 | ||||||||
\(895\) | −22.1201 | + | 12.5711i | −0.739394 | + | 0.420204i | ||||
\(896\) | −10.7748 | + | 9.04109i | −0.359959 | + | 0.302042i | ||||
\(897\) | 6.10956 | + | 16.7859i | 0.203992 | + | 0.560464i | ||||
\(898\) | 3.19430 | − | 8.77627i | 0.106595 | − | 0.292868i | ||||
\(899\) | −33.7653 | − | 28.3325i | −1.12614 | − | 0.944941i | ||||
\(900\) | 6.99254 | + | 43.0783i | 0.233085 | + | 1.43594i | ||||
\(901\) | 0.848530 | + | 1.46970i | 0.0282686 | + | 0.0489627i | ||||
\(902\) | −2.54643 | − | 0.449004i | −0.0847868 | − | 0.0149502i | ||||
\(903\) | −23.3828 | − | 4.12301i | −0.778129 | − | 0.137205i | ||||
\(904\) | 2.85336 | + | 4.94217i | 0.0949015 | + | 0.164374i | ||||
\(905\) | −7.84426 | − | 1.43828i | −0.260752 | − | 0.0478101i | ||||
\(906\) | 7.09776 | + | 5.95572i | 0.235807 | + | 0.197866i | ||||
\(907\) | 0.233041 | − | 0.640274i | 0.00773799 | − | 0.0212600i | −0.935763 | − | 0.352628i | \(-0.885288\pi\) |
0.943501 | + | 0.331368i | \(0.107510\pi\) | |||||||
\(908\) | −0.398363 | − | 1.09449i | −0.0132201 | − | 0.0363220i | ||||
\(909\) | 46.3545 | − | 38.8960i | 1.53748 | − | 1.29010i | ||||
\(910\) | 0.665485 | + | 1.17099i | 0.0220606 | + | 0.0388180i | ||||
\(911\) | 28.7169 | 0.951433 | 0.475716 | − | 0.879599i | \(-0.342189\pi\) | ||||
0.475716 | + | 0.879599i | \(0.342189\pi\) | |||||||
\(912\) | −9.14675 | − | 42.5348i | −0.302879 | − | 1.40847i | ||||
\(913\) | − | 50.1744i | − | 1.66053i | ||||||
\(914\) | 0.0796442 | + | 0.451684i | 0.00263439 | + | 0.0149404i | ||||
\(915\) | −8.68204 | + | 14.8041i | −0.287019 | + | 0.489408i | ||||
\(916\) | −12.9722 | + | 4.72149i | −0.428613 | + | 0.156002i | ||||
\(917\) | 0.204386 | − | 0.561545i | 0.00674941 | − | 0.0185439i | ||||
\(918\) | −1.58662 | + | 1.89086i | −0.0523663 | + | 0.0624077i | ||||
\(919\) | 3.45629 | − | 5.98648i | 0.114013 | − | 0.197476i | −0.803372 | − | 0.595477i | \(-0.796963\pi\) |
0.917385 | + | 0.398002i | \(0.130296\pi\) | |||||||
\(920\) | 7.17026 | − | 8.42799i | 0.236396 | − | 0.277863i | ||||
\(921\) | 4.27581 | − | 24.2494i | 0.140893 | − | 0.799043i | ||||
\(922\) | −4.04972 | − | 0.714075i | −0.133371 | − | 0.0235168i | ||||
\(923\) | 0.870870 | − | 0.502797i | 0.0286650 | − | 0.0165498i | ||||
\(924\) | −21.8202 | + | 37.7938i | −0.717833 | + | 1.24332i | ||||
\(925\) | 0.750871 | − | 55.1475i | 0.0246885 | − | 1.81324i | ||||
\(926\) | −5.59725 | − | 2.03723i | −0.183937 | − | 0.0669477i | ||||
\(927\) | −6.20959 | − | 17.0607i | −0.203950 | − | 0.560347i | ||||
\(928\) | 15.6509 | + | 18.6520i | 0.513765 | + | 0.612281i | ||||
\(929\) | −7.09009 | − | 40.2099i | −0.232618 | − | 1.31924i | −0.847572 | − | 0.530681i | \(-0.821936\pi\) |
0.614953 | − | 0.788563i | \(-0.289175\pi\) | |||||||
\(930\) | 2.56271 | + | 7.19296i | 0.0840344 | + | 0.235866i | ||||
\(931\) | −8.65596 | + | 11.1336i | −0.283688 | + | 0.364888i | ||||
\(932\) | 39.1272i | 1.28165i | ||||||||
\(933\) | 30.8529 | − | 5.44020i | 1.01008 | − | 0.178104i | ||||
\(934\) | 2.55658 | − | 2.14522i | 0.0836538 | − | 0.0701938i | ||||
\(935\) | −17.9414 | + | 14.8477i | −0.586748 | + | 0.485572i | ||||
\(936\) | 5.17097 | + | 1.88208i | 0.169019 | + | 0.0615177i | ||||
\(937\) | −9.47723 | + | 11.2945i | −0.309608 | + | 0.368976i | −0.898301 | − | 0.439380i | \(-0.855198\pi\) |
0.588694 | + | 0.808356i | \(0.299642\pi\) | |||||||
\(938\) | −2.14121 | − | 1.23623i | −0.0699129 | − | 0.0403642i | ||||
\(939\) | −10.7689 | − | 18.6523i | −0.351430 | − | 0.608695i | ||||
\(940\) | 4.90258 | + | 28.9552i | 0.159904 | + | 0.944413i | ||||
\(941\) | −9.06681 | + | 51.4204i | −0.295570 | + | 1.67626i | 0.369309 | + | 0.929307i | \(0.379594\pi\) |
−0.664878 | + | 0.746952i | \(0.731517\pi\) | |||||||
\(942\) | −10.5502 | + | 6.09115i | −0.343743 | + | 0.198460i | ||||
\(943\) | −11.1151 | − | 6.41730i | −0.361957 | − | 0.208976i | ||||
\(944\) | −14.5009 | − | 12.1677i | −0.471964 | − | 0.396025i | ||||
\(945\) | −0.121205 | + | 17.8046i | −0.00394280 | + | 0.579183i | ||||
\(946\) | 4.34607 | − | 1.58184i | 0.141303 | − | 0.0514300i | ||||
\(947\) | 36.8577 | + | 43.9252i | 1.19771 | + | 1.42738i | 0.877194 | + | 0.480137i | \(0.159413\pi\) |
0.320519 | + | 0.947242i | \(0.396143\pi\) | |||||||
\(948\) | −31.7234 | + | 5.59369i | −1.03033 | + | 0.181675i | ||||
\(949\) | 1.79777 | 0.0583580 | ||||||||
\(950\) | 2.77259 | + | 4.55007i | 0.0899546 | + | 0.147624i | ||||
\(951\) | −45.2555 | −1.46751 | ||||||||
\(952\) | −4.52842 | + | 0.798483i | −0.146767 | + | 0.0258790i | ||||
\(953\) | −5.98927 | − | 7.13773i | −0.194011 | − | 0.231214i | 0.660265 | − | 0.751033i | \(-0.270444\pi\) |
−0.854277 | + | 0.519819i | \(0.825999\pi\) | |||||||
\(954\) | −0.712905 | + | 0.259476i | −0.0230811 | + | 0.00840085i | ||||
\(955\) | −0.132022 | + | 19.3935i | −0.00427212 | + | 0.627558i | ||||
\(956\) | 17.2920 | + | 14.5097i | 0.559262 | + | 0.469277i | ||||
\(957\) | 86.7521 | + | 50.0863i | 2.80430 | + | 1.61906i | ||||
\(958\) | −4.60298 | + | 2.65753i | −0.148716 | + | 0.0858610i | ||||
\(959\) | −4.88519 | + | 27.7053i | −0.157751 | + | 0.894650i | ||||
\(960\) | 6.74762 | + | 39.8522i | 0.217779 | + | 1.28622i | ||||
\(961\) | 2.49072 | + | 4.31405i | 0.0803458 | + | 0.139163i | ||||
\(962\) | −2.96557 | − | 1.71217i | −0.0956139 | − | 0.0552027i | ||||
\(963\) | 49.0399 | − | 58.4434i | 1.58029 | − | 1.88331i | ||||
\(964\) | −46.5470 | − | 16.9417i | −1.49918 | − | 0.545656i | ||||
\(965\) | 0.727157 | − | 0.601770i | 0.0234080 | − | 0.0193717i | ||||
\(966\) | 5.11175 | − | 4.28927i | 0.164468 | − | 0.138005i | ||||
\(967\) | 8.69287 | − | 1.53279i | 0.279544 | − | 0.0492911i | −0.0321185 | − | 0.999484i | \(-0.510225\pi\) |
0.311662 | + | 0.950193i | \(0.399114\pi\) | |||||||
\(968\) | − | 6.66705i | − | 0.214287i | ||||||
\(969\) | 9.00813 | − | 27.9500i | 0.289383 | − | 0.897883i | ||||
\(970\) | −1.57964 | − | 4.43371i | −0.0507193 | − | 0.142358i | ||||
\(971\) | 9.72287 | + | 55.1412i | 0.312022 | + | 1.76956i | 0.588454 | + | 0.808531i | \(0.299737\pi\) |
−0.276432 | + | 0.961033i | \(0.589152\pi\) | |||||||
\(972\) | −23.0662 | − | 27.4892i | −0.739848 | − | 0.881716i | ||||
\(973\) | −10.4833 | − | 28.8026i | −0.336079 | − | 0.923369i | ||||
\(974\) | 6.71866 | + | 2.44539i | 0.215280 | + | 0.0783554i | ||||
\(975\) | 17.3846 | + | 0.236704i | 0.556753 | + | 0.00758058i | ||||
\(976\) | −5.10807 | + | 8.84743i | −0.163505 | + | 0.283199i | ||||
\(977\) | −35.5965 | + | 20.5517i | −1.13883 | + | 0.657506i | −0.946142 | − | 0.323753i | \(-0.895055\pi\) |
−0.192693 | + | 0.981259i | \(0.561722\pi\) | |||||||
\(978\) | 10.1095 | + | 1.78258i | 0.323266 | + | 0.0570006i | ||||
\(979\) | 1.64144 | − | 9.30905i | 0.0524605 | − | 0.297518i | ||||
\(980\) | 9.09548 | − | 10.6909i | 0.290545 | − | 0.341509i | ||||
\(981\) | −15.3757 | + | 26.6314i | −0.490907 | + | 0.850277i | ||||
\(982\) | −2.88452 | + | 3.43764i | −0.0920488 | + | 0.109700i | ||||
\(983\) | −0.854584 | + | 2.34795i | −0.0272570 | + | 0.0748880i | −0.952575 | − | 0.304305i | \(-0.901576\pi\) |
0.925318 | + | 0.379193i | \(0.123798\pi\) | |||||||
\(984\) | −6.19294 | + | 2.25405i | −0.197424 | + | 0.0718564i | ||||
\(985\) | −17.2410 | + | 29.3983i | −0.549345 | + | 0.936709i | ||||
\(986\) | 0.902520 | + | 5.11845i | 0.0287421 | + | 0.163005i | ||||
\(987\) | 35.9650i | 1.14478i | ||||||||
\(988\) | −10.7318 | + | 0.400297i | −0.341423 | + | 0.0127351i | ||||
\(989\) | 22.9569 | 0.729986 | ||||||||
\(990\) | −5.14396 | − | 9.05133i | −0.163486 | − | 0.287670i | ||||
\(991\) | 13.3471 | − | 11.1995i | 0.423983 | − | 0.355764i | −0.405693 | − | 0.914010i | \(-0.632970\pi\) |
0.829676 | + | 0.558245i | \(0.188525\pi\) | |||||||
\(992\) | 4.91574 | + | 13.5059i | 0.156075 | + | 0.428812i | ||||
\(993\) | 7.41250 | − | 20.3657i | 0.235228 | − | 0.646285i | ||||
\(994\) | −0.287762 | − | 0.241461i | −0.00912727 | − | 0.00765869i | ||||
\(995\) | 28.4304 | + | 5.21285i | 0.901306 | + | 0.165259i | ||||
\(996\) | −31.4858 | − | 54.5351i | −0.997667 | − | 1.72801i | ||||
\(997\) | 12.6065 | + | 2.22287i | 0.399253 | + | 0.0703990i | 0.369670 | − | 0.929163i | \(-0.379471\pi\) |
0.0295832 | + | 0.999562i | \(0.490582\pi\) | |||||||
\(998\) | 2.50776 | + | 0.442186i | 0.0793819 | + | 0.0139972i | ||||
\(999\) | −22.6339 | − | 39.2031i | −0.716106 | − | 1.24033i |
(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 | 95.2.p.a.9.5 | yes | 48 | |
3.2 | odd | 2 | 855.2.da.b.199.4 | 48 | |||
5.2 | odd | 4 | 475.2.l.f.351.5 | 48 | |||
5.3 | odd | 4 | 475.2.l.f.351.4 | 48 | |||
5.4 | even | 2 | inner | 95.2.p.a.9.4 | ✓ | 48 | |
15.14 | odd | 2 | 855.2.da.b.199.5 | 48 | |||
19.6 | even | 9 | 1805.2.b.k.1084.12 | 24 | |||
19.13 | odd | 18 | 1805.2.b.l.1084.13 | 24 | |||
19.17 | even | 9 | inner | 95.2.p.a.74.4 | yes | 48 | |
57.17 | odd | 18 | 855.2.da.b.739.5 | 48 | |||
95.13 | even | 36 | 9025.2.a.ct.1.13 | 24 | |||
95.17 | odd | 36 | 475.2.l.f.226.5 | 48 | |||
95.32 | even | 36 | 9025.2.a.ct.1.12 | 24 | |||
95.44 | even | 18 | 1805.2.b.k.1084.13 | 24 | |||
95.63 | odd | 36 | 9025.2.a.cu.1.12 | 24 | |||
95.74 | even | 18 | inner | 95.2.p.a.74.5 | yes | 48 | |
95.82 | odd | 36 | 9025.2.a.cu.1.13 | 24 | |||
95.89 | odd | 18 | 1805.2.b.l.1084.12 | 24 | |||
95.93 | odd | 36 | 475.2.l.f.226.4 | 48 | |||
285.74 | odd | 18 | 855.2.da.b.739.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.9.4 | ✓ | 48 | 5.4 | even | 2 | inner | |
95.2.p.a.9.5 | yes | 48 | 1.1 | even | 1 | trivial | |
95.2.p.a.74.4 | yes | 48 | 19.17 | even | 9 | inner | |
95.2.p.a.74.5 | yes | 48 | 95.74 | even | 18 | inner | |
475.2.l.f.226.4 | 48 | 95.93 | odd | 36 | |||
475.2.l.f.226.5 | 48 | 95.17 | odd | 36 | |||
475.2.l.f.351.4 | 48 | 5.3 | odd | 4 | |||
475.2.l.f.351.5 | 48 | 5.2 | odd | 4 | |||
855.2.da.b.199.4 | 48 | 3.2 | odd | 2 | |||
855.2.da.b.199.5 | 48 | 15.14 | odd | 2 | |||
855.2.da.b.739.4 | 48 | 285.74 | odd | 18 | |||
855.2.da.b.739.5 | 48 | 57.17 | odd | 18 | |||
1805.2.b.k.1084.12 | 24 | 19.6 | even | 9 | |||
1805.2.b.k.1084.13 | 24 | 95.44 | even | 18 | |||
1805.2.b.l.1084.12 | 24 | 95.89 | odd | 18 | |||
1805.2.b.l.1084.13 | 24 | 19.13 | odd | 18 | |||
9025.2.a.ct.1.12 | 24 | 95.32 | even | 36 | |||
9025.2.a.ct.1.13 | 24 | 95.13 | even | 36 | |||
9025.2.a.cu.1.12 | 24 | 95.63 | odd | 36 | |||
9025.2.a.cu.1.13 | 24 | 95.82 | odd | 36 |