Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [855,2,Mod(199,855)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(855, 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("855.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 855 = 3^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 855.da (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: | \(6.82720937282\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.5 | ||
Character | \(\chi\) | \(=\) | 855.199 |
Dual form | 855.2.da.b.739.5 |
$q$-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 \(\left(\mathbb{Z}/855\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(496\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.240763 | − | 0.0424530i | 0.170245 | − | 0.0300188i | −0.0878757 | − | 0.996131i | \(-0.528008\pi\) |
0.258121 | + | 0.966113i | \(0.416897\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.82322 | + | 0.663598i | −0.911610 | + | 0.331799i | ||||
\(5\) | 1.42562 | − | 1.72267i | 0.637558 | − | 0.770402i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.68032 | − | 0.970136i | −0.635103 | − | 0.366677i | 0.147623 | − | 0.989044i | \(-0.452838\pi\) |
−0.782726 | + | 0.622367i | \(0.786171\pi\) | |||||||
\(8\) | −0.834240 | + | 0.481648i | −0.294948 | + | 0.170288i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.270105 | − | 0.475278i | 0.0854146 | − | 0.150296i | ||||
\(11\) | 2.11666 | + | 3.66617i | 0.638198 | + | 1.10539i | 0.985828 | + | 0.167760i | \(0.0536534\pi\) |
−0.347630 | + | 0.937632i | \(0.613013\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.816227 | − | 0.972742i | 0.226381 | − | 0.269790i | −0.640884 | − | 0.767638i | \(-0.721432\pi\) |
0.867264 | + | 0.497848i | \(0.165876\pi\) | |||||||
\(14\) | −0.445745 | − | 0.162238i | −0.119130 | − | 0.0433599i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 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 | \(0.348010\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.64247 | − | 4.03761i | −0.376809 | − | 0.926291i | ||||
\(20\) | −1.45606 | + | 4.08685i | −0.325586 | + | 0.913848i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 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 | \(-0.291020\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.935198 | − | 4.91176i | −0.187040 | − | 0.982352i | ||||
\(26\) | 0.155222 | − | 0.268852i | 0.0304415 | − | 0.0527261i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.70738 | + | 0.653712i | 0.700629 | + | 0.123540i | ||||
\(29\) | 1.50053 | − | 8.50995i | 0.278642 | − | 1.58026i | −0.448508 | − | 0.893779i | \(-0.648044\pi\) |
0.727150 | − | 0.686479i | \(-0.240845\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −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 | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.565193 | − | 0.205714i | 0.0969299 | − | 0.0352796i | ||||
\(35\) | −4.06673 | + | 1.51160i | −0.687404 | + | 0.255507i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 11.0305i | − | 1.81341i | −0.421770 | − | 0.906703i | \(-0.638591\pi\) | ||
0.421770 | − | 0.906703i | \(-0.361409\pi\) | |||||||
\(38\) | −0.566855 | − | 0.902380i | −0.0919561 | − | 0.146385i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.359589 | + | 2.12377i | −0.0568560 | + | 0.335798i | ||||
\(41\) | −1.91387 | + | 1.60593i | −0.298897 | + | 0.250804i | −0.779885 | − | 0.625923i | \(-0.784722\pi\) |
0.480988 | + | 0.876727i | \(0.340278\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.52842 | − | 4.19929i | 0.233081 | − | 0.640386i | −0.766918 | − | 0.641745i | \(-0.778211\pi\) |
0.999999 | + | 0.00135976i | \(0.000432826\pi\) | |||||||
\(44\) | −6.29201 | − | 5.27962i | −0.948556 | − | 0.795933i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −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 | \(0.391207\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.61767 | − | 2.80189i | −0.231096 | − | 0.400270i | ||||
\(50\) | −0.433680 | − | 1.14287i | −0.0613317 | − | 0.161626i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −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 | 0 | ||||||||
\(55\) | 9.33317 | + | 1.58026i | 1.25849 | + | 0.213082i | ||||
\(56\) | 1.86906 | 0.249763 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | − | 2.11258i | − | 0.277396i | ||||||
\(59\) | 0.901817 | + | 5.11446i | 0.117407 | + | 0.665846i | 0.985530 | + | 0.169498i | \(0.0542147\pi\) |
−0.868124 | + | 0.496348i | \(0.834674\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −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 | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.30053 | + | 5.71668i | −0.412566 | + | 0.714585i | ||||
\(65\) | −0.512083 | − | 2.79285i | −0.0635160 | − | 0.346411i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.13308 | + | 0.905101i | 0.627106 | + | 0.110576i | 0.478164 | − | 0.878270i | \(-0.341302\pi\) |
0.148941 | + | 0.988846i | \(0.452413\pi\) | |||||||
\(68\) | −4.13387 | + | 2.38669i | −0.501305 | + | 0.289429i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.914948 | + | 0.536583i | −0.109357 | + | 0.0641339i | ||||
\(71\) | 0.744158 | + | 0.270851i | 0.0883153 | + | 0.0321441i | 0.385800 | − | 0.922582i | \(-0.373925\pi\) |
−0.297485 | + | 0.954727i | \(0.596148\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.910034 | + | 1.08454i | 0.106511 | + | 0.126935i | 0.816666 | − | 0.577110i | \(-0.195820\pi\) |
−0.710155 | + | 0.704045i | \(0.751375\pi\) | |||||||
\(74\) | −0.468279 | − | 2.65574i | −0.0544363 | − | 0.308724i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.67394 | + | 6.27151i | 0.650845 | + | 0.719392i | ||||
\(77\) | − | 8.21381i | − | 0.936050i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.64448 | − | 3.89718i | 0.522545 | − | 0.438467i | −0.342973 | − | 0.939345i | \(-0.611434\pi\) |
0.865518 | + | 0.500878i | \(0.166989\pi\) | |||||||
\(80\) | −0.0554826 | − | 8.15018i | −0.00620315 | − | 0.911218i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −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 | \(0.441236\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.71811 | − | 4.78280i | 0.294820 | − | 0.518767i | ||||
\(86\) | 0.189714 | − | 1.07592i | 0.0204574 | − | 0.116019i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.53161 | − | 2.03898i | −0.376471 | − | 0.217356i | ||||
\(89\) | −1.71051 | − | 1.43529i | −0.181314 | − | 0.152140i | 0.547614 | − | 0.836731i | \(-0.315536\pi\) |
−0.728927 | + | 0.684591i | \(0.759981\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.31522 | + | 0.842670i | −0.242701 | + | 0.0883358i | ||||
\(92\) | 6.40684 | + | 7.63537i | 0.667959 | + | 0.796043i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.65487 | 0.170687 | ||||||||
\(95\) | −9.29702 | − | 2.92667i | −0.953854 | − | 0.300270i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.47901 | + | 1.49508i | −0.860913 | + | 0.151802i | −0.586638 | − | 0.809849i | \(-0.699549\pi\) |
−0.274275 | + | 0.961651i | \(0.588438\pi\) | |||||||
\(98\) | −0.508425 | − | 0.605917i | −0.0513587 | − | 0.0612069i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.96451 | + | 8.33463i | 0.496451 | + | 0.833463i | ||||
\(101\) | 10.3041 | + | 8.64614i | 1.02529 | + | 0.860323i | 0.990283 | − | 0.139064i | \(-0.0444094\pi\) |
0.0350095 | + | 0.999387i | \(0.488854\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.49510 | − | 2.01789i | 0.344382 | − | 0.198829i | −0.317826 | − | 0.948149i | \(-0.602953\pi\) |
0.662208 | + | 0.749320i | \(0.269619\pi\) | |||||||
\(104\) | −0.212409 | + | 1.20463i | −0.0208285 | + | 0.118124i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 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 | \(0.972550\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.42343 | + | 2.33794i | 0.615253 | + | 0.223934i | 0.630800 | − | 0.775945i | \(-0.282727\pi\) |
−0.0155471 | + | 0.999879i | \(0.504949\pi\) | |||||||
\(110\) | 2.31417 | − | 0.0157538i | 0.220648 | − | 0.00150207i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −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 | 0 | ||||||||
\(115\) | −10.8208 | − | 3.85523i | −1.00904 | − | 0.359502i | ||||
\(116\) | 2.91138 | + | 16.5113i | 0.270315 | + | 1.53303i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.434249 | + | 1.19309i | 0.0399758 | + | 0.109833i | ||||
\(119\) | −4.48561 | − | 1.63263i | −0.411195 | − | 0.149663i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.46054 | + | 5.99383i | −0.314594 | + | 0.544893i | ||||
\(122\) | −0.593422 | + | 0.342612i | −0.0537259 | + | 0.0310186i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.71856 | − | 9.74645i | 0.154331 | − | 0.875257i | ||||
\(125\) | −9.79460 | − | 5.39128i | −0.876055 | − | 0.482211i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.3288 | + | 14.6929i | −1.09400 | + | 1.30378i | −0.144680 | + | 0.989479i | \(0.546215\pi\) |
−0.949323 | + | 0.314303i | \(0.898229\pi\) | |||||||
\(128\) | −2.47938 | + | 6.81203i | −0.219148 | + | 0.602104i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.241856 | − | 0.650677i | −0.0212122 | − | 0.0570681i | ||||
\(131\) | 0.0534819 | + | 0.303311i | 0.00467273 | + | 0.0265004i | 0.987055 | − | 0.160382i | \(-0.0512727\pi\) |
−0.982382 | + | 0.186883i | \(0.940162\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.15714 | + | 8.37791i | −0.100337 | + | 0.726457i | ||||
\(134\) | 1.27428 | 0.110081 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −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 | \(0.676272\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.1014 | − | 10.1543i | −1.02643 | − | 0.861278i | −0.0360091 | − | 0.999351i | \(-0.511465\pi\) |
−0.990422 | + | 0.138074i | \(0.955909\pi\) | |||||||
\(140\) | 6.41146 | − | 5.45466i | 0.541867 | − | 0.461003i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.190664 | + | 0.0336192i | 0.0160002 | + | 0.00282126i | ||||
\(143\) | 5.29391 | + | 0.933460i | 0.442699 | + | 0.0780598i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.5207 | − | 14.7169i | −1.03978 | − | 1.22217i | ||||
\(146\) | 0.265144 | + | 0.222483i | 0.0219435 | + | 0.0184128i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.31983 | + | 20.1111i | 0.601686 | + | 1.65312i | ||||
\(149\) | −9.54872 | + | 8.01233i | −0.782262 | + | 0.656396i | −0.943817 | − | 0.330468i | \(-0.892793\pi\) |
0.161555 | + | 0.986864i | \(0.448349\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 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 | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.348701 | − | 1.97758i | −0.0280991 | − | 0.159358i | ||||
\(155\) | 3.97389 | + | 10.6912i | 0.319191 | + | 0.858735i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.22373 | − | 17.0996i | 0.496708 | − | 1.36469i | −0.397731 | − | 0.917502i | \(-0.630202\pi\) |
0.894438 | − | 0.447191i | \(-0.147576\pi\) | |||||||
\(158\) | 0.952772 | − | 1.13547i | 0.0757985 | − | 0.0903331i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.13630 | − | 6.19726i | −0.0898322 | − | 0.489937i | ||||
\(161\) | −1.73084 | + | 9.81605i | −0.136409 | + | 0.773613i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.2794 | + | 7.66687i | −1.04012 | + | 0.600516i | −0.919868 | − | 0.392227i | \(-0.871705\pi\) |
−0.120256 | + | 0.992743i | \(0.538371\pi\) | |||||||
\(164\) | 2.42372 | − | 4.19801i | 0.189261 | − | 0.327809i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 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 | \(0.811565\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.97743 | + | 11.2145i | 0.152110 | + | 0.862657i | ||||
\(170\) | 0.451376 | − | 1.26691i | 0.0346189 | − | 0.0971678i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.67048i | 0.661118i | ||||||||
\(173\) | 2.72401 | − | 0.480317i | 0.207103 | − | 0.0365178i | −0.0691341 | − | 0.997607i | \(-0.522024\pi\) |
0.276237 | + | 0.961090i | \(0.410913\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.19364 | + | 9.16062i | −0.241416 | + | 0.692478i | ||||
\(176\) | 14.4997 | + | 5.27747i | 1.09296 | + | 0.397805i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.472760 | − | 0.272948i | −0.0354349 | − | 0.0204583i | ||||
\(179\) | 5.68916 | + | 9.85392i | 0.425228 | + | 0.736516i | 0.996442 | − | 0.0842849i | \(-0.0268606\pi\) |
−0.571214 | + | 0.820801i | \(0.693527\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 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 | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.79085 | + | 3.18090i | 0.279466 | + | 0.234499i | ||||
\(185\) | −19.0020 | − | 15.7254i | −1.39705 | − | 1.15615i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.69456 | + | 7.97827i | 0.489555 | + | 0.583429i | ||||
\(188\) | −12.9339 | + | 2.28060i | −0.943303 | + | 0.166330i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.36263 | − | 0.309947i | −0.171403 | − | 0.0224859i | ||||
\(191\) | 8.67323 | 0.627573 | 0.313786 | − | 0.949494i | \(-0.398402\pi\) | ||||
0.313786 | + | 0.949494i | \(0.398402\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.271327 | − | 0.323355i | −0.0195306 | − | 0.0232756i | 0.756191 | − | 0.654351i | \(-0.227058\pi\) |
−0.775721 | + | 0.631076i | \(0.782614\pi\) | |||||||
\(194\) | −1.97796 | + | 0.719919i | −0.142009 | + | 0.0516872i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 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 | \(0.849362\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.24465 | + | 12.7301i | −0.159119 | + | 0.902410i | 0.795803 | + | 0.605555i | \(0.207049\pi\) |
−0.954923 | + | 0.296855i | \(0.904062\pi\) | |||||||
\(200\) | 3.14592 | + | 3.64715i | 0.222450 | + | 0.257892i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.84789 | + | 1.64423i | 0.200377 | + | 0.115688i | ||||
\(203\) | −10.7772 | + | 12.8438i | −0.756410 | + | 0.901455i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.0380298 | + | 5.58643i | 0.00265612 | + | 0.390173i | ||||
\(206\) | 0.755824 | − | 0.634212i | 0.0526608 | − | 0.0441876i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 4.62845i | − | 0.320926i | ||||||
\(209\) | 11.3260 | − | 14.5678i | 0.783436 | − | 1.00768i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −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 | 0 | ||||||||
\(214\) | −3.89604 | − | 1.41804i | −0.266328 | − | 0.0969353i | ||||
\(215\) | −5.05505 | − | 8.61956i | −0.344752 | − | 0.587849i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.57106 | − | 4.94851i | 0.581842 | − | 0.335926i | ||||
\(218\) | 1.64578 | + | 0.290195i | 0.111466 | + | 0.0196545i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −18.0651 | + | 3.31232i | −1.21795 | + | 0.223316i | ||||
\(221\) | 1.56202 | − | 2.70550i | 0.105073 | − | 0.181991i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.14622 | − | 8.64417i | 0.210687 | − | 0.578856i | −0.788667 | − | 0.614821i | \(-0.789228\pi\) |
0.999353 | + | 0.0359647i | \(0.0114504\pi\) | |||||||
\(224\) | −5.13740 | + | 1.86986i | −0.343257 | + | 0.124935i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.251499 | − | 1.42632i | −0.0167294 | − | 0.0948774i | ||||
\(227\) | 0.600308i | 0.0398438i | 0.999802 | + | 0.0199219i | \(0.00634176\pi\) | ||||
−0.999802 | + | 0.0199219i | \(0.993658\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.11499 | 0.470172 | 0.235086 | − | 0.971975i | \(-0.424463\pi\) | ||||
0.235086 | + | 0.971975i | \(0.424463\pi\) | |||||||
\(230\) | −2.76891 | − | 0.468821i | −0.182577 | − | 0.0309132i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 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 | \(-0.118573\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.5283 | − | 9.80792i | 0.752025 | − | 0.639798i | ||||
\(236\) | −5.03816 | − | 8.72635i | −0.327956 | − | 0.568037i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.14928 | − | 0.202649i | −0.0744967 | − | 0.0131358i | ||||
\(239\) | 5.81710 | + | 10.0755i | 0.376277 | + | 0.651731i | 0.990517 | − | 0.137388i | \(-0.0438707\pi\) |
−0.614240 | + | 0.789119i | \(0.710537\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 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 | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.16583 | − | 3.49555i | 0.266690 | − | 0.223779i | ||||
\(245\) | −7.13293 | − | 1.20772i | −0.455706 | − | 0.0771585i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.26818 | − | 1.69791i | −0.335206 | − | 0.108035i | ||||
\(248\) | − | 4.91362i | − | 0.312015i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.58705 | − | 0.882211i | −0.163620 | − | 0.0557959i | ||||
\(251\) | 14.4509 | − | 5.25969i | 0.912131 | − | 0.331988i | 0.157027 | − | 0.987594i | \(-0.449809\pi\) |
0.755103 | + | 0.655606i | \(0.227587\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.9789 | − | 16.6594i | 0.878845 | − | 1.04737i | ||||
\(254\) | −2.34456 | + | 4.06090i | −0.147111 | + | 0.254803i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 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 | \(0.722477\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.7011 | + | 18.5348i | −0.664934 | + | 1.15170i | ||||
\(260\) | 2.78697 | + | 4.75217i | 0.172841 | + | 0.294717i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 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 | \(0.633101\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.45298 | + | 0.517668i | 0.0892559 | + | 0.0318001i | ||||
\(266\) | 0.0770701 | + | 2.06622i | 0.00472547 | + | 0.126688i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.95937 | + | 1.75611i | −0.608365 | + | 0.107271i | ||||
\(269\) | 12.4416 | − | 10.4398i | 0.758579 | − | 0.636523i | −0.179178 | − | 0.983817i | \(-0.557344\pi\) |
0.937756 | + | 0.347294i | \(0.112899\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 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 | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.77238 | + | 3.06985i | 0.107073 | + | 0.185457i | ||||
\(275\) | 16.0279 | − | 13.8251i | 0.966516 | − | 0.833688i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.46407 | + | 3.15468i | −0.328304 | + | 0.189546i | −0.655088 | − | 0.755553i | \(-0.727368\pi\) |
0.326784 | + | 0.945099i | \(0.394035\pi\) | |||||||
\(278\) | −3.34466 | − | 1.93104i | −0.200600 | − | 0.115816i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.66457 | − | 3.21977i | 0.159239 | − | 0.192418i | ||||
\(281\) | −2.51801 | + | 0.916481i | −0.150212 | + | 0.0546727i | −0.416032 | − | 0.909350i | \(-0.636580\pi\) |
0.265820 | + | 0.964023i | \(0.414357\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −30.5923 | + | 5.39425i | −1.81853 | + | 0.320655i | −0.975962 | − | 0.217942i | \(-0.930066\pi\) |
−0.842564 | + | 0.538597i | \(0.818955\pi\) | |||||||
\(284\) | −1.53650 | −0.0911745 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.31421 | 0.0777107 | ||||||||
\(287\) | 4.77390 | − | 0.841767i | 0.281794 | − | 0.0496880i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.2871 | + | 3.74421i | −0.605126 | + | 0.220248i | ||||
\(290\) | −3.63929 | − | 3.01175i | −0.213706 | − | 0.176856i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −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 | 0 | ||||||||
\(295\) | 10.0962 | + | 5.73776i | 0.587823 | + | 0.334065i | ||||
\(296\) | 5.31283 | + | 9.20209i | 0.308802 | + | 0.534861i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.95883 | + | 2.33445i | −0.113472 | + | 0.135231i | ||||
\(299\) | −6.12988 | − | 2.23110i | −0.354500 | − | 0.129028i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.64212 | + | 5.57340i | −0.382845 | + | 0.321245i | ||||
\(302\) | 3.33217 | − | 0.587551i | 0.191745 | − | 0.0338098i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −14.0460 | − | 7.42561i | −0.805591 | − | 0.425888i | ||||
\(305\) | −2.10340 | + | 5.90377i | −0.120440 | + | 0.338049i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.77995 | + | 6.88828i | 0.329879 | + | 0.393135i | 0.905335 | − | 0.424698i | \(-0.139620\pi\) |
−0.575456 | + | 0.817833i | \(0.695175\pi\) | |||||||
\(308\) | 5.45067 | + | 14.9756i | 0.310581 | + | 0.853313i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.41064 | + | 2.40533i | 0.0801189 | + | 0.136614i | ||||
\(311\) | −5.72035 | + | 9.90793i | −0.324371 | + | 0.561827i | −0.981385 | − | 0.192051i | \(-0.938486\pi\) |
0.657014 | + | 0.753879i | \(0.271819\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.74572 | + | 1.36578i | 0.437814 | + | 0.0771984i | 0.388211 | − | 0.921571i | \(-0.373093\pi\) |
0.0496032 | + | 0.998769i | \(0.484204\pi\) | |||||||
\(314\) | 0.772517 | − | 4.38116i | 0.0435956 | − | 0.247243i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −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 | 0 | ||||||||
\(319\) | 34.3750 | − | 12.5115i | 1.92463 | − | 0.700509i | ||||
\(320\) | 5.14266 | + | 13.8355i | 0.287483 | + | 0.773431i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.43682i | 0.135799i | ||||||||
\(323\) | −5.70435 | − | 9.08079i | −0.317399 | − | 0.505269i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.54121 | − | 3.09941i | −0.307371 | − | 0.171924i | ||||
\(326\) | −2.87171 | + | 2.40965i | −0.159049 | + | 0.133458i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.823135 | − | 2.26155i | 0.0454500 | − | 0.124873i | ||||
\(329\) | −10.0610 | − | 8.44219i | −0.554682 | − | 0.465433i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −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 | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.759946 | + | 1.31627i | 0.0415824 | + | 0.0720228i | ||||
\(335\) | 8.87703 | − | 7.55229i | 0.485004 | − | 0.412626i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.51071 | − | 17.8880i | 0.354661 | − | 0.974423i | −0.626191 | − | 0.779670i | \(-0.715387\pi\) |
0.980852 | − | 0.194754i | \(-0.0623908\pi\) | |||||||
\(338\) | 0.952183 | + | 2.61610i | 0.0517919 | + | 0.142297i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.78185 | + | 10.5238i | −0.0966346 | + | 0.570734i | ||||
\(341\) | −21.5935 | −1.16936 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.8594i | 1.07230i | ||||||||
\(344\) | 0.747516 | + | 4.23937i | 0.0403034 | + | 0.228572i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 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 | \(0.157966\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.13218 | + | 5.42509i | −0.167662 | + | 0.290398i | −0.937597 | − | 0.347723i | \(-0.886955\pi\) |
0.769936 | + | 0.638121i | \(0.220288\pi\) | |||||||
\(350\) | −0.380014 | + | 2.34112i | −0.0203126 | + | 0.125138i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 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 | \(0.262492\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.52748 | − | 0.895808i | 0.0810700 | − | 0.0475446i | ||||
\(356\) | 4.07109 | + | 1.48176i | 0.215767 | + | 0.0785329i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.78807 | + | 2.13094i | 0.0945024 | + | 0.112624i | ||||
\(359\) | 2.27231 | + | 12.8869i | 0.119928 | + | 0.680145i | 0.984192 | + | 0.177106i | \(0.0566735\pi\) |
−0.864264 | + | 0.503039i | \(0.832215\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.6046 | + | 13.2633i | −0.716030 | + | 0.698069i | ||||
\(362\) | − | 0.871938i | − | 0.0458281i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.66196 | − | 3.07275i | 0.191939 | − | 0.161056i | ||||
\(365\) | 3.16567 | − | 0.0215504i | 0.165699 | − | 0.00112800i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.7730 | − | 19.9893i | 0.875545 | − | 1.04343i | −0.123151 | − | 0.992388i | \(-0.539300\pi\) |
0.998696 | − | 0.0510458i | \(-0.0162555\pi\) | |||||||
\(368\) | −16.2161 | − | 9.36236i | −0.845322 | − | 0.488047i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.24256 | − | 2.97940i | −0.272548 | − | 0.154891i | ||||
\(371\) | 0.232411 | − | 1.31807i | 0.0120662 | − | 0.0684307i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −23.5532 | − | 13.5984i | −1.21954 | − | 0.704100i | −0.254718 | − | 0.967015i | \(-0.581983\pi\) |
−0.964819 | + | 0.262915i | \(0.915316\pi\) | |||||||
\(374\) | 1.95051 | + | 1.63667i | 0.100858 | + | 0.0846301i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.12733 | + | 2.23017i | −0.315993 | + | 0.115012i | ||||
\(377\) | −7.05320 | − | 8.40568i | −0.363258 | − | 0.432915i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.6999 | −0.703714 | −0.351857 | − | 0.936054i | \(-0.614450\pi\) | ||||
−0.351857 | + | 0.936054i | \(0.614450\pi\) | |||||||
\(380\) | 18.8927 | − | 0.833522i | 0.969173 | − | 0.0427588i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 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 | \(0.862131\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.1497 | − | 11.7098i | −0.721135 | − | 0.596786i | ||||
\(386\) | −0.0790530 | − | 0.0663333i | −0.00402369 | − | 0.00337628i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 14.4670 | − | 8.35251i | 0.734449 | − | 0.424035i | ||||
\(389\) | −0.878089 | + | 4.97989i | −0.0445209 | + | 0.252490i | −0.998943 | − | 0.0459703i | \(-0.985362\pi\) |
0.954422 | + | 0.298461i | \(0.0964732\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.31925 | − | 10.9453i | −0.319578 | − | 0.553526i | ||||
\(392\) | 2.69905 | + | 1.55830i | 0.136323 | + | 0.0787060i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.50148 | − | 1.27444i | −0.176402 | − | 0.0642051i | ||||
\(395\) | −0.0922885 | − | 13.5568i | −0.00464354 | − | 0.682118i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.5131 | − | 4.14599i | 1.18009 | − | 0.208081i | 0.451014 | − | 0.892517i | \(-0.351062\pi\) |
0.729073 | + | 0.684435i | \(0.239951\pi\) | |||||||
\(398\) | 3.16022i | 0.158408i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.1192 | − | 11.5235i | −0.705960 | − | 0.576176i | ||||
\(401\) | 4.30049 | + | 24.3893i | 0.214756 | + | 1.21794i | 0.881329 | + | 0.472503i | \(0.156649\pi\) |
−0.666573 | + | 0.745440i | \(0.732240\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.21532 | + | 6.08655i | 0.110353 | + | 0.303192i | ||||
\(404\) | −24.5241 | − | 8.92606i | −1.22012 | − | 0.444088i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.04949 | + | 3.54983i | −0.101715 | + | 0.176175i | ||||
\(407\) | 40.4398 | − | 23.3479i | 2.00452 | − | 1.15731i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.71911 | − | 9.74958i | 0.0850047 | − | 0.482086i | −0.912351 | − | 0.409409i | \(-0.865735\pi\) |
0.997356 | − | 0.0726764i | \(-0.0231540\pi\) | |||||||
\(410\) | 0.246317 | + | 1.34339i | 0.0121647 | + | 0.0663454i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.03326 | + | 5.99841i | −0.247971 | + | 0.295520i | ||||
\(413\) | 3.44637 | − | 9.46884i | 0.169585 | − | 0.465931i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 24.8418 | − | 9.23367i | 1.21944 | − | 0.453263i | ||||
\(416\) | −0.621311 | − | 3.52363i | −0.0304623 | − | 0.172760i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.10843 | − | 3.98822i | 0.103127 | − | 0.195070i | ||||
\(419\) | 4.00810 | 0.195808 | 0.0979042 | − | 0.995196i | \(-0.468786\pi\) | ||||
0.0979042 | + | 0.995196i | \(0.468786\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 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 | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.509024 | − | 0.427122i | −0.0247204 | − | 0.0207429i | ||||
\(425\) | −4.36419 | − | 11.5009i | −0.211695 | − | 0.557874i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.35560 | + | 0.944337i | 0.259176 | + | 0.0456997i | ||||
\(428\) | 32.4044 | + | 5.71377i | 1.56632 | + | 0.276185i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.58300 | − | 1.86067i | −0.0763389 | − | 0.0897295i | ||||
\(431\) | −10.3250 | − | 8.66371i | −0.497338 | − | 0.417316i | 0.359309 | − | 0.933219i | \(-0.383012\pi\) |
−0.856648 | + | 0.515902i | \(0.827457\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.7578 | − | 32.3043i | −0.565045 | − | 1.55245i | −0.812144 | − | 0.583458i | \(-0.801699\pi\) |
0.247099 | − | 0.968990i | \(-0.420523\pi\) | |||||||
\(434\) | 1.85352 | − | 1.55529i | 0.0889717 | − | 0.0746561i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.2628 | −0.635172 | ||||||||
\(437\) | −16.6051 | + | 15.0229i | −0.794330 | + | 0.718643i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.06648 | − | 23.0621i | −0.194082 | − | 1.10070i | −0.913720 | − | 0.406345i | \(-0.866803\pi\) |
0.719637 | − | 0.694350i | \(-0.244308\pi\) | |||||||
\(440\) | −8.54723 | + | 3.17700i | −0.407473 | + | 0.151457i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 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 | \(0.240372\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.91107 | + | 0.900468i | −0.232807 | + | 0.0426863i | ||||
\(446\) | 0.390523 | − | 2.21476i | 0.0184918 | − | 0.104872i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.0919 | − | 6.40391i | 0.524043 | − | 0.302557i | ||||
\(449\) | −19.1010 | + | 33.0838i | −0.901430 | + | 1.56132i | −0.0757922 | + | 0.997124i | \(0.524149\pi\) |
−0.825638 | + | 0.564200i | \(0.809185\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.93864 | − | 3.61737i | −0.467992 | − | 0.170335i | ||||
\(452\) | 3.93126 | + | 10.8011i | 0.184911 | + | 0.508039i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.0254849 | + | 0.144532i | 0.00119606 | + | 0.00678322i | ||||
\(455\) | −1.84898 | + | 5.18969i | −0.0866816 | + | 0.243296i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 1.87605i | − | 0.0877581i | −0.999037 | − | 0.0438790i | \(-0.986028\pi\) | ||
0.999037 | − | 0.0438790i | \(-0.0139716\pi\) | |||||||
\(458\) | 1.71303 | − | 0.302053i | 0.0800445 | − | 0.0141140i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 22.2870 | − | 0.151719i | 1.03914 | − | 0.00707395i | ||||
\(461\) | 15.8060 | + | 5.75290i | 0.736157 | + | 0.267939i | 0.682769 | − | 0.730634i | \(-0.260776\pi\) |
0.0533885 | + | 0.998574i | \(0.482998\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.0999 | + | 12.1821i | 0.980598 | + | 0.566148i | 0.902450 | − | 0.430794i | \(-0.141766\pi\) |
0.0781471 | + | 0.996942i | \(0.475100\pi\) | |||||||
\(464\) | −15.7485 | − | 27.2771i | −0.731104 | − | 1.26631i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 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 | \(0.231044\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.74717 | − | 6.50065i | −0.357731 | − | 0.300172i | ||||
\(470\) | 2.35922 | − | 2.85080i | 0.108823 | − | 0.131497i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.21570 | − | 3.83233i | −0.148015 | − | 0.176397i | ||||
\(473\) | 18.6305 | − | 3.28505i | 0.856629 | − | 0.151047i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.2957 | + | 11.8434i | −0.839466 | + | 0.543412i | ||||
\(476\) | 9.26166 | 0.424507 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.82828 | + | 2.17886i | 0.0836236 | + | 0.0996587i | ||||
\(479\) | 20.4294 | − | 7.43570i | 0.933444 | − | 0.339746i | 0.169870 | − | 0.985466i | \(-0.445665\pi\) |
0.763574 | + | 0.645720i | \(0.223443\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −10.7298 | − | 9.00341i | −0.489239 | − | 0.410520i | ||||
\(482\) | 5.40532 | + | 3.12076i | 0.246206 | + | 0.142147i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.33183 | − | 13.2245i | 0.105992 | − | 0.601112i | ||||
\(485\) | −9.51234 | + | 16.7380i | −0.431933 | + | 0.760032i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.3273 | − | 14.6227i | −1.14769 | − | 0.662618i | −0.199366 | − | 0.979925i | \(-0.563888\pi\) |
−0.948323 | + | 0.317307i | \(0.897222\pi\) | |||||||
\(488\) | 1.73549 | − | 2.06828i | 0.0785619 | − | 0.0936264i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.76862 | + | 0.0120399i | −0.0798981 | + | 0.000543909i | ||||
\(491\) | 14.0612 | − | 11.7987i | 0.634572 | − | 0.532469i | −0.267774 | − | 0.963482i | \(-0.586288\pi\) |
0.902346 | + | 0.431012i | \(0.141843\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 21.2593i | − | 0.957469i | ||||||
\(494\) | −1.34046 | − | 0.185143i | −0.0603104 | − | 0.00832997i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.22853 | + | 18.3099i | 0.144965 | + | 0.822138i | ||||
\(497\) | −0.987664 | − | 1.17705i | −0.0443028 | − | 0.0527980i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.78774 | + | 3.56245i | 0.438159 | + | 0.159477i | 0.551675 | − | 0.834059i | \(-0.313989\pi\) |
−0.113516 | + | 0.993536i | \(0.536211\pi\) | |||||||
\(500\) | 21.4354 | + | 3.32982i | 0.958618 | + | 0.148914i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 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 | \(0.586525\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 29.5842 | − | 5.42439i | 1.31648 | − | 0.241382i | ||||
\(506\) | 2.65836 | − | 4.60441i | 0.118178 | − | 0.204691i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.7279 | − | 34.9697i | 0.564711 | − | 1.55153i | ||||
\(509\) | 35.9534 | − | 13.0860i | 1.59361 | − | 0.580026i | 0.615502 | − | 0.788135i | \(-0.288953\pi\) |
0.978106 | + | 0.208109i | \(0.0667310\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.477005 | − | 2.70523i | −0.0211015 | − | 0.119672i | ||||
\(512\) | − | 17.2928i | − | 0.764239i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.92470 | −0.173111 | ||||||||
\(515\) | 1.50652 | − | 8.89766i | 0.0663851 | − | 0.392078i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.80074 | + | 26.9273i | 0.431036 | + | 1.18426i | ||||
\(518\) | −1.78957 | + | 4.91680i | −0.0786292 | + | 0.216032i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.77237 | + | 2.08327i | 0.0777237 | + | 0.0913573i | ||||
\(521\) | −1.24406 | − | 2.15478i | −0.0545033 | − | 0.0944025i | 0.837486 | − | 0.546458i | \(-0.184024\pi\) |
−0.891990 | + | 0.452056i | \(0.850691\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.1578 | + | 3.37803i | 0.837712 | + | 0.147711i | 0.576015 | − | 0.817439i | \(-0.304607\pi\) |
0.261696 | + | 0.965150i | \(0.415718\pi\) | |||||||
\(524\) | −0.298786 | − | 0.517512i | −0.0130525 | − | 0.0226076i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.66681 | + | 2.23772i | 0.116278 | + | 0.0975692i | ||||
\(527\) | −4.29206 | + | 11.7923i | −0.186965 | + | 0.513683i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.59720 | + | 2.17931i | −0.112922 | + | 0.0947525i | ||||
\(530\) | 0.371801 | + | 0.0629519i | 0.0161500 | + | 0.00273445i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.44984 | − | 16.0427i | −0.149569 | − | 0.695538i | ||||
\(533\) | 3.17251i | 0.137417i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −35.5453 | + | 13.2121i | −1.53676 | + | 0.571211i | ||||
\(536\) | −4.71816 | + | 1.71727i | −0.203794 | + | 0.0741748i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.55228 | − | 3.04169i | 0.110037 | − | 0.131137i | ||||
\(539\) | 6.84814 | − | 11.8613i | 0.294970 | − | 0.510904i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.46608 | − | 6.00342i | 0.148607 | − | 0.257394i | ||||
\(545\) | 13.1849 | − | 7.73245i | 0.564779 | − | 0.331222i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.7381 | + | 29.5027i | 0.459128 | + | 1.26144i | 0.926136 | + | 0.377191i | \(0.123110\pi\) |
−0.467007 | + | 0.884253i | \(0.654668\pi\) | |||||||
\(548\) | −18.0830 | − | 21.5504i | −0.772466 | − | 0.920589i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.27200 | − | 4.00902i | 0.139518 | − | 0.170945i | ||||
\(551\) | −36.8244 | + | 7.91878i | −1.56877 | + | 0.337351i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.5850 | + | 2.04275i | −0.492646 | + | 0.0868667i | ||||
\(554\) | −1.18162 | + | 0.991497i | −0.0502022 | + | 0.0421247i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 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 | \(-0.000949529\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.83729 | − | 4.91433i | −0.120005 | − | 0.207854i | ||||
\(560\) | −7.81356 | + | 13.7488i | −0.330183 | + | 0.580992i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −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 | \(0.856889\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.2054 | − | 8.44562i | −0.429344 | − | 0.355310i | ||||
\(566\) | −7.13650 | + | 2.59747i | −0.299970 | + | 0.109180i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.751261 | + | 0.132468i | −0.0315222 | + | 0.00555822i | ||||
\(569\) | −25.6513 | −1.07536 | −0.537679 | − | 0.843150i | \(-0.680699\pi\) | ||||
−0.537679 | + | 0.843150i | \(0.680699\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 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 | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.11364 | − | 0.405333i | 0.0464826 | − | 0.0169183i | ||||
\(575\) | −22.0676 | + | 13.1446i | −0.920284 | + | 0.548166i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.3921 | − | 8.88661i | −0.640780 | − | 0.369954i | 0.144135 | − | 0.989558i | \(-0.453960\pi\) |
−0.784915 | + | 0.619604i | \(0.787293\pi\) | |||||||
\(578\) | −2.31781 | + | 1.33819i | −0.0964083 | + | 0.0556613i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 32.5940 | + | 18.5235i | 1.35339 | + | 0.769146i | ||||
\(581\) | −11.4983 | − | 19.9156i | −0.477029 | − | 0.826238i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.87704 | + | 2.23697i | −0.0777391 | + | 0.0926458i | ||||
\(584\) | −1.28155 | − | 0.466447i | −0.0530310 | − | 0.0193017i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −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 | \(0.602795\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.0250 | + | 3.04205i | 0.907522 | + | 0.125346i | ||||
\(590\) | 2.67438 | + | 0.952826i | 0.110102 | + | 0.0392272i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −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 | \(0.774294\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.20726 | + | 5.39972i | −0.377461 | + | 0.221367i | ||||
\(596\) | 12.0925 | − | 20.9448i | 0.495327 | − | 0.857931i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.57057 | − | 0.276933i | −0.0642253 | − | 0.0113246i | ||||
\(599\) | −2.32632 | + | 13.1932i | −0.0950508 | + | 0.539060i | 0.899681 | + | 0.436548i | \(0.143799\pi\) |
−0.994732 | + | 0.102512i | \(0.967312\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −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 | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −25.2334 | + | 9.18421i | −1.02673 | + | 0.373700i | ||||
\(605\) | 5.39198 | + | 14.5063i | 0.219215 | + | 0.589765i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.5191i | 0.954612i | 0.878737 | + | 0.477306i | \(0.158387\pi\) | ||||
−0.878737 | + | 0.477306i | \(0.841613\pi\) | |||||||
\(608\) | −11.6899 | − | 3.76761i | −0.474090 | − | 0.152797i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.255787 | + | 1.51071i | −0.0103565 | + | 0.0611667i | ||||
\(611\) | 6.58450 | − | 5.52505i | 0.266380 | − | 0.223520i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.2029 | + | 28.0323i | −0.412092 | + | 1.13221i | 0.543984 | + | 0.839095i | \(0.316915\pi\) |
−0.956076 | + | 0.293118i | \(0.905307\pi\) | |||||||
\(614\) | 1.68403 | + | 1.41307i | 0.0679619 | + | 0.0570268i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 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 | \(0.480602\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.8349 | + | 25.6947i | 0.596264 | + | 1.03276i | 0.993367 | + | 0.114985i | \(0.0366820\pi\) |
−0.397104 | + | 0.917774i | \(0.629985\pi\) | |||||||
\(620\) | −14.3399 | − | 16.8553i | −0.575905 | − | 0.676924i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.956627 | + | 2.62831i | −0.0383573 | + | 0.105386i | ||||
\(623\) | 1.48179 | + | 4.07118i | 0.0593666 | + | 0.163108i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.2508 | + | 9.18694i | −0.930032 | + | 0.367478i | ||||
\(626\) | 1.92287 | 0.0768532 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 35.3063i | 1.40888i | ||||||||
\(629\) | −4.71236 | − | 26.7251i | −0.187894 | − | 1.06560i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 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 | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.02017 | + | 3.49904i | −0.0802313 | + | 0.138965i | ||||
\(635\) | 7.73480 | + | 42.1849i | 0.306946 | + | 1.67406i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.04591 | − | 0.713402i | −0.160305 | − | 0.0282660i | ||||
\(638\) | 7.74509 | − | 4.47163i | 0.306631 | − | 0.177034i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.20024 | + | 13.9825i | 0.324143 | + | 0.552709i | ||||
\(641\) | 11.6336 | + | 4.23428i | 0.459499 | + | 0.167244i | 0.561390 | − | 0.827552i | \(-0.310267\pi\) |
−0.101890 | + | 0.994796i | \(0.532489\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.5099 | + | 35.1685i | 1.16376 | + | 1.38691i | 0.907369 | + | 0.420336i | \(0.138088\pi\) |
0.256387 | + | 0.966574i | \(0.417468\pi\) | |||||||
\(644\) | −3.35822 | − | 19.0454i | −0.132332 | − | 0.750494i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.75891 | − | 1.94415i | −0.0692032 | − | 0.0764916i | ||||
\(647\) | 33.6773i | 1.32399i | 0.749508 | + | 0.661996i | \(0.230290\pi\) | ||||
−0.749508 | + | 0.661996i | \(0.769710\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −16.8416 | + | 14.1318i | −0.661092 | + | 0.554722i | ||||
\(650\) | −1.46570 | − | 0.510982i | −0.0574894 | − | 0.0200424i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 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 | \(0.541138\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.598750 | + | 0.340275i | 0.0233951 | + | 0.0132956i | ||||
\(656\) | −1.58133 | + | 8.96816i | −0.0617405 | + | 0.350148i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.78072 | − | 1.60545i | −0.108404 | − | 0.0625869i | ||||
\(659\) | 15.9102 | + | 13.3503i | 0.619775 | + | 0.520053i | 0.897733 | − | 0.440540i | \(-0.145213\pi\) |
−0.277958 | + | 0.960593i | \(0.589658\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −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 | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.4172 | −0.443074 | ||||||||
\(665\) | 12.7827 | + | 13.9371i | 0.495694 | + | 0.540459i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −43.7170 | + | 7.70848i | −1.69273 | + | 0.298473i | ||||
\(668\) | −7.75345 | − | 9.24020i | −0.299990 | − | 0.357514i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.81665 | − | 2.19517i | 0.0701831 | − | 0.0848068i | ||||
\(671\) | −9.08930 | − | 7.62682i | −0.350888 | − | 0.294430i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.1350 | − | 6.42879i | 0.429223 | − | 0.247812i | −0.269793 | − | 0.962918i | \(-0.586955\pi\) |
0.699015 | + | 0.715107i | \(0.253622\pi\) | |||||||
\(674\) | 0.808138 | − | 4.58318i | 0.0311283 | − | 0.176537i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −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 | \(0.503253\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.6979 | + | 5.71357i | 0.602431 | + | 0.219267i | ||||
\(680\) | 0.0360743 | + | 5.29917i | 0.00138338 | + | 0.203214i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.19893 | + | 0.916711i | −0.199077 | + | 0.0351027i | ||||
\(683\) | 22.8692i | 0.875064i | 0.899203 | + | 0.437532i | \(0.144147\pi\) | ||||
−0.899203 | + | 0.437532i | \(0.855853\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 30.5411 | + | 10.8812i | 1.16691 | + | 0.415748i | ||||
\(686\) | 0.843090 | + | 4.78140i | 0.0321893 | + | 0.182555i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.57101 | − | 15.3062i | −0.212393 | − | 0.583545i | ||||
\(689\) | 0.823102 | + | 0.299585i | 0.0313577 | + | 0.0114133i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 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 | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.231972 | + | 1.31558i | −0.00880554 | + | 0.0499387i | ||||
\(695\) | −34.7447 | + | 6.37059i | −1.31794 | + | 0.241650i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.95093 | + | 4.70854i | −0.149652 | + | 0.178349i | ||||
\(698\) | −0.523801 | + | 1.43913i | −0.0198262 | + | 0.0544719i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.256263 | − | 18.8211i | −0.00968582 | − | 0.711372i | ||||
\(701\) | −6.03353 | − | 34.2179i | −0.227883 | − | 1.29239i | −0.857096 | − | 0.515157i | \(-0.827734\pi\) |
0.629212 | − | 0.777233i | \(-0.283378\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −44.5369 | + | 18.1173i | −1.67974 | + | 0.683307i | ||||
\(704\) | −27.9444 | −1.05319 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.55330 | − | 1.30337i | 0.0584593 | − | 0.0490531i | ||||
\(707\) | −8.92625 | − | 24.5247i | −0.335706 | − | 0.922345i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.13431 | − | 5.14730i | −0.230379 | − | 0.193311i | 0.520290 | − | 0.853990i | \(-0.325824\pi\) |
−0.750669 | + | 0.660679i | \(0.770268\pi\) | |||||||
\(710\) | 0.329730 | − | 0.280524i | 0.0123746 | − | 0.0105279i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.11828 | + | 0.373510i | 0.0793859 | + | 0.0139979i | ||||
\(713\) | 25.8057 | + | 4.55025i | 0.966432 | + | 0.170408i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.15517 | − | 7.78892i | 0.342384 | − | 0.291289i | ||||
\(716\) | −16.9116 | − | 14.1905i | −0.632018 | − | 0.530326i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.09418 | + | 3.00622i | 0.0408343 | + | 0.112191i | ||||
\(719\) | 10.9307 | − | 9.17191i | 0.407645 | − | 0.342055i | −0.415795 | − | 0.909458i | \(-0.636497\pi\) |
0.823440 | + | 0.567404i | \(0.192052\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.83053 | −0.291624 | ||||||||
\(722\) | −2.71241 | + | 3.77087i | −0.100946 | + | 0.140337i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.20163 | + | 6.81478i | 0.0446582 | + | 0.253269i | ||||
\(725\) | −43.2021 | + | 0.588227i | −1.60449 | + | 0.0218462i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.07271 | + | 2.94724i | −0.0397846 | + | 0.109307i | −0.957994 | − | 0.286788i | \(-0.907413\pi\) |
0.918210 | + | 0.396095i | \(0.129635\pi\) | |||||||
\(728\) | 1.52558 | − | 1.81811i | 0.0565416 | − | 0.0673836i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.761261 | − | 0.139581i | 0.0281755 | − | 0.00516611i | ||||
\(731\) | 1.90912 | − | 10.8272i | 0.0706113 | − | 0.400457i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.7391 | − | 6.20021i | 0.396657 | − | 0.229010i | −0.288384 | − | 0.957515i | \(-0.593118\pi\) |
0.685041 | + | 0.728505i | \(0.259784\pi\) | |||||||
\(734\) | 3.18972 | − | 5.52476i | 0.117735 | − | 0.203922i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.6020 | − | 4.95074i | −0.501378 | − | 0.182487i | ||||
\(737\) | 7.54676 | + | 20.7346i | 0.277988 | + | 0.763767i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 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 | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 0.327209i | − | 0.0120122i | ||||||
\(743\) | −37.7365 | + | 6.65396i | −1.38442 | + | 0.244110i | −0.815725 | − | 0.578441i | \(-0.803661\pi\) |
−0.568692 | + | 0.822551i | \(0.692550\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.189739 | + | 27.8719i | 0.00695149 | + | 1.02115i | ||||
\(746\) | −6.24803 | − | 2.27410i | −0.228757 | − | 0.0832606i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −17.5000 | − | 10.1036i | −0.639864 | − | 0.369426i | ||||
\(749\) | 16.4525 | + | 28.4965i | 0.601160 | + | 1.04124i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −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 | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.05500 | − | 1.72435i | −0.0748386 | − | 0.0627971i | ||||
\(755\) | 19.7307 | − | 23.8418i | 0.718072 | − | 0.867693i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.6504 | + | 28.1855i | 0.859590 | + | 1.02442i | 0.999414 | + | 0.0342429i | \(0.0109020\pi\) |
−0.139824 | + | 0.990176i | \(0.544654\pi\) | |||||||
\(758\) | −3.29842 | + | 0.581600i | −0.119804 | + | 0.0211247i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.16557 | − | 2.03635i | 0.332470 | − | 0.0738663i | ||||
\(761\) | 0.255560 | 0.00926406 | 0.00463203 | − | 0.999989i | \(-0.498526\pi\) | ||||
0.00463203 | + | 0.999989i | \(0.498526\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −8.52533 | − | 10.1601i | −0.308638 | − | 0.367820i | ||||
\(764\) | −15.8132 | + | 5.75554i | −0.572102 | + | 0.208228i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.91990 | − | 1.61099i | −0.0693690 | − | 0.0582075i | ||||
\(767\) | 5.71114 | + | 3.29733i | 0.206217 | + | 0.119060i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.64209 | − | 9.31277i | 0.0592154 | − | 0.335827i | −0.940780 | − | 0.339019i | \(-0.889905\pi\) |
0.999995 | + | 0.00319194i | \(0.00101603\pi\) | |||||||
\(770\) | −3.90384 | − | 2.21859i | −0.140685 | − | 0.0799524i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 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 | \(0.405152\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 24.0826 | + | 8.39586i | 0.865074 | + | 0.301588i | ||||
\(776\) | 6.35342 | − | 5.33116i | 0.228075 | − | 0.191377i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.23625i | 0.0443217i | ||||||||
\(779\) | 9.62760 | + | 5.08978i | 0.344945 | + | 0.182360i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.582145 | + | 3.30151i | 0.0208308 | + | 0.118137i | ||||
\(782\) | −1.98610 | − | 2.36695i | −0.0710229 | − | 0.0846418i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −11.0815 | − | 4.03334i | −0.395768 | − | 0.144048i | ||||
\(785\) | −20.5842 | − | 35.0990i | −0.734683 | − | 1.25274i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −31.5212 | + | 18.1988i | −1.12361 | + | 0.648717i | −0.942320 | − | 0.334712i | \(-0.891361\pi\) |
−0.181291 | + | 0.983430i | \(0.558027\pi\) | |||||||
\(788\) | 29.1228 | + | 5.13513i | 1.03746 | + | 0.182931i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.597748 | − | 3.26007i | −0.0212669 | − | 0.115988i | ||||
\(791\) | −5.74724 | + | 9.95452i | −0.204348 | + | 0.353942i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.21728 | + | 3.34444i | −0.0432268 | + | 0.118765i | ||||
\(794\) | 5.48507 | − | 1.99640i | 0.194658 | − | 0.0708497i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.35514 | − | 24.6993i | −0.154364 | − | 0.875442i | ||||
\(797\) | − | 19.2118i | − | 0.680517i | −0.940332 | − | 0.340258i | \(-0.889485\pi\) | ||
0.940332 | − | 0.340258i | \(-0.110515\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.6532 | 0.589148 | ||||||||
\(800\) | −12.2958 | − | 6.87750i | −0.434722 | − | 0.243156i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.07080 | + | 5.68947i | 0.0731224 | + | 0.200902i | ||||
\(803\) | −2.04986 | + | 5.63194i | −0.0723379 | + | 0.198747i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.4423 | + | 16.9757i | 0.509025 | + | 0.598313i | ||||
\(806\) | 0.791760 | + | 1.37137i | 0.0278886 | + | 0.0483044i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.7605 | − | 2.25001i | −0.448911 | − | 0.0791552i | ||||
\(809\) | 21.5251 | + | 37.2825i | 0.756781 | + | 1.31078i | 0.944484 | + | 0.328557i | \(0.106562\pi\) |
−0.187703 | + | 0.982226i | \(0.560104\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −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 | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.74521 | − | 7.33810i | 0.306520 | − | 0.257200i | ||||
\(815\) | −5.72393 | + | 33.8062i | −0.200501 | + | 1.18418i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −19.4655 | + | 0.726064i | −0.681011 | + | 0.0254018i | ||||
\(818\) | − | 2.42032i | − | 0.0846245i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.77648 | − | 10.1601i | −0.131880 | − | 0.354805i | ||||
\(821\) | 16.0413 | − | 5.83857i | 0.559847 | − | 0.203768i | −0.0465693 | − | 0.998915i | \(-0.514829\pi\) |
0.606416 | + | 0.795148i | \(0.292607\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.3420 | − | 27.8179i | 0.813650 | − | 0.969670i | −0.186268 | − | 0.982499i | \(-0.559639\pi\) |
0.999918 | + | 0.0128292i | \(0.00408378\pi\) | |||||||
\(824\) | −1.94383 | + | 3.36682i | −0.0677166 | + | 0.117289i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 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 | \(0.446376\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.0921 | + | 17.4801i | −0.350514 | + | 0.607109i | −0.986340 | − | 0.164724i | \(-0.947327\pi\) |
0.635825 | + | 0.771833i | \(0.280660\pi\) | |||||||
\(830\) | 5.58900 | − | 3.27774i | 0.193997 | − | 0.113772i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.86687 | + | 7.87666i | 0.0993909 | + | 0.273074i | ||||
\(833\) | −5.11636 | − | 6.09744i | −0.177271 | − | 0.211264i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.0951 | + | 4.66553i | 0.453176 | + | 0.161457i | ||||
\(836\) | −10.9826 | + | 34.0763i | −0.379841 | + | 1.17855i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.965002 | − | 0.170156i | 0.0333355 | − | 0.00587794i | ||||
\(839\) | 19.7800 | − | 16.5974i | 0.682880 | − | 0.573005i | −0.233966 | − | 0.972245i | \(-0.575170\pi\) |
0.916846 | + | 0.399240i | \(0.130726\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −42.9165 | − | 15.6203i | −1.47988 | − | 0.538632i | ||||
\(842\) | 3.18664 | − | 3.79769i | 0.109819 | − | 0.130877i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.31332 | + | 7.47089i | 0.148471 | + | 0.257159i | ||||
\(845\) | 22.1380 | + | 12.5813i | 0.761572 | + | 0.432808i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.6296 | − | 6.71438i | 0.399599 | − | 0.230709i | ||||
\(848\) | 2.17745 | + | 1.25715i | 0.0747738 | + | 0.0431707i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.53898 | − | 2.58371i | −0.0527867 | − | 0.0886206i | ||||
\(851\) | −53.2482 | + | 19.3807i | −1.82532 | + | 0.664363i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.1058 | + | 2.48724i | −0.482974 | + | 0.0851613i | −0.409834 | − | 0.912160i | \(-0.634413\pi\) |
−0.0731404 | + | 0.997322i | \(0.523302\pi\) | |||||||
\(854\) | 1.32952 | 0.0454953 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.3365 | 0.558370 | ||||||||
\(857\) | −23.8963 | + | 4.21356i | −0.816281 | + | 0.143932i | −0.566174 | − | 0.824286i | \(-0.691577\pi\) |
−0.250107 | + | 0.968218i | \(0.580466\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 38.0794 | − | 13.8598i | 1.29925 | − | 0.472889i | 0.402499 | − | 0.915421i | \(-0.368142\pi\) |
0.896753 | + | 0.442532i | \(0.145920\pi\) | |||||||
\(860\) | 14.9364 | + | 12.3608i | 0.509327 | + | 0.421501i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −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 | \(0.460870\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.05599 | − | 5.37733i | 0.103907 | − | 0.182835i | ||||
\(866\) | −4.20227 | − | 7.27854i | −0.142799 | − | 0.247335i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −12.3431 | + | 14.7100i | −0.418953 | + | 0.499289i | ||||
\(869\) | 24.1185 | + | 8.77843i | 0.818165 | + | 0.297788i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.07019 | − | 4.25440i | 0.171797 | − | 0.144155i | ||||
\(872\) | −6.48474 | + | 1.14344i | −0.219601 | + | 0.0387216i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.36013 | + | 4.32190i | −0.113658 | + | 0.146190i | ||||
\(875\) | 11.2278 | + | 18.5612i | 0.379570 | + | 0.627483i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −31.9434 | − | 38.0686i | −1.07865 | − | 1.28549i | −0.956105 | − | 0.293024i | \(-0.905338\pi\) |
−0.122546 | − | 0.992463i | \(-0.539106\pi\) | |||||||
\(878\) | −1.95812 | − | 5.37988i | −0.0660832 | − | 0.181562i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 29.7625 | − | 17.4546i | 1.00329 | − | 0.588395i | ||||
\(881\) | −5.51788 | + | 9.55725i | −0.185902 | + | 0.321992i | −0.943880 | − | 0.330288i | \(-0.892854\pi\) |
0.757978 | + | 0.652280i | \(0.226187\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 21.7883 | + | 3.84187i | 0.733235 | + | 0.129289i | 0.527785 | − | 0.849378i | \(-0.323023\pi\) |
0.205451 | + | 0.978667i | \(0.434134\pi\) | |||||||
\(884\) | −1.05254 | + | 5.96927i | −0.0354009 | + | 0.200768i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −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 | \(0.113040\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 34.9704 | − | 12.7282i | 1.17287 | − | 0.426890i | ||||
\(890\) | −1.14418 | + | 0.425289i | −0.0383529 | + | 0.0142557i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.8481i | 0.597597i | ||||||||
\(893\) | −6.20309 | − | 28.8460i | −0.207578 | − | 0.965295i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 25.0857 | + | 4.24741i | 0.838521 | + | 0.141975i | ||||
\(896\) | 10.7748 | − | 9.04109i | 0.359959 | − | 0.302042i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.19430 | + | 8.77627i | −0.106595 | + | 0.292868i | ||||
\(899\) | 33.7653 | + | 28.3325i | 1.12614 | + | 0.944941i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.848530 | + | 1.46970i | 0.0282686 | + | 0.0489627i | ||||
\(902\) | −2.54643 | − | 0.449004i | −0.0847868 | − | 0.0149502i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.85336 | + | 4.94217i | 0.0949015 | + | 0.164374i | ||||
\(905\) | −5.16772 | − | 6.07419i | −0.171781 | − | 0.201913i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.233041 | + | 0.640274i | −0.00773799 | + | 0.0212600i | −0.943501 | − | 0.331368i | \(-0.892490\pi\) |
0.935763 | + | 0.352628i | \(0.114712\pi\) | |||||||
\(908\) | −0.398363 | − | 1.09449i | −0.0132201 | − | 0.0363220i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.224849 | + | 1.32798i | −0.00745366 | + | 0.0440221i | ||||
\(911\) | −28.7169 | −0.951433 | −0.475716 | − | 0.879599i | \(-0.657811\pi\) | ||||
−0.475716 | + | 0.879599i | \(0.657811\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 50.1744i | 1.66053i | ||||||||
\(914\) | −0.0796442 | − | 0.451684i | −0.00263439 | − | 0.0149404i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.9722 | + | 4.72149i | −0.428613 | + | 0.156002i | ||||
\(917\) | 0.204386 | − | 0.561545i | 0.00674941 | − | 0.0185439i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.45629 | − | 5.98648i | 0.114013 | − | 0.197476i | −0.803372 | − | 0.595477i | \(-0.796963\pi\) |
0.917385 | + | 0.398002i | \(0.130296\pi\) | |||||||
\(920\) | 10.8840 | − | 1.99563i | 0.358834 | − | 0.0657939i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.04972 | + | 0.714075i | 0.133371 | + | 0.0235168i | ||||
\(923\) | 0.870870 | − | 0.502797i | 0.0286650 | − | 0.0165498i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −54.1793 | + | 10.3157i | −1.78140 | + | 0.339179i | ||||
\(926\) | 5.59725 | + | 2.03723i | 0.183937 | + | 0.0669477i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −15.6509 | − | 18.6520i | −0.513765 | − | 0.612281i | ||||
\(929\) | 7.09009 | + | 40.2099i | 0.232618 | + | 1.31924i | 0.847572 | + | 0.530681i | \(0.178064\pi\) |
−0.614953 | + | 0.788563i | \(0.710825\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.65596 | + | 11.1336i | −0.283688 | + | 0.364888i | ||||
\(932\) | 39.1272i | 1.28165i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.55658 | − | 2.14522i | 0.0836538 | − | 0.0701938i | ||||
\(935\) | 23.2879 | − | 0.158533i | 0.761595 | − | 0.00518458i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 9.47723 | − | 11.2945i | 0.309608 | − | 0.368976i | −0.588694 | − | 0.808356i | \(-0.700358\pi\) |
0.898301 | + | 0.439380i | \(0.144802\pi\) | |||||||
\(938\) | −2.14121 | − | 1.23623i | −0.0699129 | − | 0.0403642i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −14.5102 | + | 25.5322i | −0.473269 | + | 0.832768i | ||||
\(941\) | 9.06681 | − | 51.4204i | 0.295570 | − | 1.67626i | −0.369309 | − | 0.929307i | \(-0.620406\pi\) |
0.664878 | − | 0.746952i | \(-0.268483\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.1151 | + | 6.41730i | 0.361957 | + | 0.208976i | ||||
\(944\) | 14.5009 | + | 12.1677i | 0.471964 | + | 0.396025i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 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 | \(0.396143\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.79777 | 0.0583580 | ||||||||
\(950\) | −3.90215 | + | 3.62816i | −0.126603 | + | 0.117713i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 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 | 0 | ||||||||
\(955\) | 12.3648 | − | 14.9411i | 0.400114 | − | 0.483484i | ||||
\(956\) | −17.2920 | − | 14.5097i | −0.559262 | − | 0.469277i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.60298 | − | 2.65753i | 0.148716 | − | 0.0858610i | ||||
\(959\) | 4.88519 | − | 27.7053i | 0.157751 | − | 0.894650i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.49072 | + | 4.31405i | 0.0803458 | + | 0.139163i | ||||
\(962\) | −2.96557 | − | 1.71217i | −0.0956139 | − | 0.0552027i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −46.5470 | − | 16.9417i | −1.49918 | − | 0.545656i | ||||
\(965\) | −0.943845 | + | 0.00642525i | −0.0303834 | + | 0.000206836i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.69287 | + | 1.53279i | −0.279544 | + | 0.0492911i | −0.311662 | − | 0.950193i | \(-0.600886\pi\) |
0.0321185 | + | 0.999484i | \(0.489775\pi\) | |||||||
\(968\) | − | 6.66705i | − | 0.214287i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.57964 | + | 4.43371i | −0.0507193 | + | 0.142358i | ||||
\(971\) | −9.72287 | − | 55.1412i | −0.312022 | − | 1.76956i | −0.588454 | − | 0.808531i | \(-0.700263\pi\) |
0.276432 | − | 0.961033i | \(-0.410848\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.4833 | + | 28.8026i | 0.336079 | + | 0.923369i | ||||
\(974\) | −6.71866 | − | 2.44539i | −0.215280 | − | 0.0783554i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −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 | \(0.561722\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.64144 | − | 9.30905i | 0.0524605 | − | 0.297518i | ||||
\(980\) | 13.8064 | − | 2.53146i | 0.441028 | − | 0.0808645i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 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 | \(0.123798\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −31.9456 | + | 11.8741i | −1.01787 | + | 0.378341i | ||||
\(986\) | −0.902520 | − | 5.11845i | −0.0287421 | − | 0.163005i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.7318 | − | 0.400297i | 0.341423 | − | 0.0127351i | ||||
\(989\) | −22.9569 | −0.729986 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 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 | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.287762 | − | 0.241461i | −0.00912727 | − | 0.00765869i | ||||
\(995\) | 18.7297 | + | 22.0151i | 0.593771 | + | 0.697924i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.6065 | − | 2.22287i | −0.399253 | − | 0.0703990i | −0.0295832 | − | 0.999562i | \(-0.509418\pi\) |
−0.369670 | + | 0.929163i | \(0.620529\pi\) | |||||||
\(998\) | 2.50776 | + | 0.442186i | 0.0793819 | + | 0.0139972i | ||||
\(999\) | 0 | 0 |
(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 | 855.2.da.b.199.5 | 48 | ||
3.2 | odd | 2 | 95.2.p.a.9.4 | ✓ | 48 | ||
5.4 | even | 2 | inner | 855.2.da.b.199.4 | 48 | ||
15.2 | even | 4 | 475.2.l.f.351.4 | 48 | |||
15.8 | even | 4 | 475.2.l.f.351.5 | 48 | |||
15.14 | odd | 2 | 95.2.p.a.9.5 | yes | 48 | ||
19.17 | even | 9 | inner | 855.2.da.b.739.4 | 48 | ||
57.17 | odd | 18 | 95.2.p.a.74.5 | yes | 48 | ||
57.32 | even | 18 | 1805.2.b.l.1084.12 | 24 | |||
57.44 | odd | 18 | 1805.2.b.k.1084.13 | 24 | |||
95.74 | even | 18 | inner | 855.2.da.b.739.5 | 48 | ||
285.17 | even | 36 | 475.2.l.f.226.4 | 48 | |||
285.32 | odd | 36 | 9025.2.a.ct.1.13 | 24 | |||
285.44 | odd | 18 | 1805.2.b.k.1084.12 | 24 | |||
285.74 | odd | 18 | 95.2.p.a.74.4 | yes | 48 | ||
285.89 | even | 18 | 1805.2.b.l.1084.13 | 24 | |||
285.158 | even | 36 | 9025.2.a.cu.1.13 | 24 | |||
285.188 | even | 36 | 475.2.l.f.226.5 | 48 | |||
285.203 | odd | 36 | 9025.2.a.ct.1.12 | 24 | |||
285.272 | even | 36 | 9025.2.a.cu.1.12 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.9.4 | ✓ | 48 | 3.2 | odd | 2 | ||
95.2.p.a.9.5 | yes | 48 | 15.14 | odd | 2 | ||
95.2.p.a.74.4 | yes | 48 | 285.74 | odd | 18 | ||
95.2.p.a.74.5 | yes | 48 | 57.17 | odd | 18 | ||
475.2.l.f.226.4 | 48 | 285.17 | even | 36 | |||
475.2.l.f.226.5 | 48 | 285.188 | even | 36 | |||
475.2.l.f.351.4 | 48 | 15.2 | even | 4 | |||
475.2.l.f.351.5 | 48 | 15.8 | even | 4 | |||
855.2.da.b.199.4 | 48 | 5.4 | even | 2 | inner | ||
855.2.da.b.199.5 | 48 | 1.1 | even | 1 | trivial | ||
855.2.da.b.739.4 | 48 | 19.17 | even | 9 | inner | ||
855.2.da.b.739.5 | 48 | 95.74 | even | 18 | inner | ||
1805.2.b.k.1084.12 | 24 | 285.44 | odd | 18 | |||
1805.2.b.k.1084.13 | 24 | 57.44 | odd | 18 | |||
1805.2.b.l.1084.12 | 24 | 57.32 | even | 18 | |||
1805.2.b.l.1084.13 | 24 | 285.89 | even | 18 | |||
9025.2.a.ct.1.12 | 24 | 285.203 | odd | 36 | |||
9025.2.a.ct.1.13 | 24 | 285.32 | odd | 36 | |||
9025.2.a.cu.1.12 | 24 | 285.272 | even | 36 | |||
9025.2.a.cu.1.13 | 24 | 285.158 | even | 36 |