Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | no (minimal twist has level 147) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 64.2 | ||
Character | \(\chi\) | \(=\) | 441.64 |
Dual form | 441.2.u.c.379.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.271791 | + | 1.19079i | −0.192185 | + | 0.842018i | 0.783246 | + | 0.621712i | \(0.213563\pi\) |
−0.975431 | + | 0.220306i | \(0.929294\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.457820 | + | 0.220474i | 0.228910 | + | 0.110237i | ||||
\(5\) | 0.164209 | − | 0.205912i | 0.0734366 | − | 0.0920865i | −0.743756 | − | 0.668451i | \(-0.766958\pi\) |
0.817193 | + | 0.576364i | \(0.195529\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.60345 | + | 0.471214i | 0.984012 | + | 0.178102i | ||||
\(8\) | −1.91005 | + | 2.39513i | −0.675305 | + | 0.846806i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.200568 | + | 0.251504i | 0.0634251 | + | 0.0795326i | ||||
\(11\) | −0.153939 | + | 0.674453i | −0.0464145 | + | 0.203355i | −0.992819 | − | 0.119630i | \(-0.961829\pi\) |
0.946404 | + | 0.322985i | \(0.104686\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.135275 | + | 0.592678i | −0.0375185 | + | 0.164379i | −0.990217 | − | 0.139539i | \(-0.955438\pi\) |
0.952698 | + | 0.303918i | \(0.0982950\pi\) | |||||||
\(14\) | −1.26871 | + | 2.97210i | −0.339078 | + | 0.794327i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.69933 | − | 2.13089i | −0.424832 | − | 0.532722i | ||||
\(17\) | 3.45113 | − | 1.66198i | 0.837021 | − | 0.403088i | 0.0342775 | − | 0.999412i | \(-0.489087\pi\) |
0.802744 | + | 0.596324i | \(0.203373\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.615297 | −0.141159 | −0.0705794 | − | 0.997506i | \(-0.522485\pi\) | ||||
−0.0705794 | + | 0.997506i | \(0.522485\pi\) | |||||||
\(20\) | 0.120576 | − | 0.0580665i | 0.0269617 | − | 0.0129841i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.761295 | − | 0.366620i | −0.162309 | − | 0.0781637i | ||||
\(23\) | 5.76051 | + | 2.77412i | 1.20115 | + | 0.578443i | 0.924003 | − | 0.382385i | \(-0.124897\pi\) |
0.277146 | + | 0.960828i | \(0.410611\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.09717 | + | 4.80701i | 0.219434 | + | 0.961403i | ||||
\(26\) | −0.668991 | − | 0.322169i | −0.131200 | − | 0.0631825i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.08802 | + | 0.789725i | 0.205616 | + | 0.149244i | ||||
\(29\) | −1.87727 | + | 0.904044i | −0.348600 | + | 0.167877i | −0.599987 | − | 0.800010i | \(-0.704828\pi\) |
0.251387 | + | 0.967887i | \(0.419113\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.96883 | −1.07203 | −0.536017 | − | 0.844207i | \(-0.680072\pi\) | ||||
−0.536017 | + | 0.844207i | \(0.680072\pi\) | |||||||
\(32\) | −2.52090 | + | 1.21400i | −0.445636 | + | 0.214607i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.04108 | + | 4.56129i | 0.178544 | + | 0.782254i | ||||
\(35\) | 0.524539 | − | 0.458703i | 0.0886633 | − | 0.0775350i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.85657 | + | 1.37565i | −0.469617 | + | 0.226156i | −0.653698 | − | 0.756755i | \(-0.726783\pi\) |
0.184081 | + | 0.982911i | \(0.441069\pi\) | |||||||
\(38\) | 0.167232 | − | 0.732692i | 0.0271286 | − | 0.118858i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.179537 | + | 0.786604i | 0.0283873 | + | 0.124373i | ||||
\(41\) | −0.738263 | + | 0.925753i | −0.115297 | + | 0.144578i | −0.836131 | − | 0.548530i | \(-0.815188\pi\) |
0.720834 | + | 0.693108i | \(0.243759\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.16974 | − | 6.48265i | −0.788378 | − | 0.988595i | −0.999937 | − | 0.0112294i | \(-0.996425\pi\) |
0.211559 | − | 0.977365i | \(-0.432146\pi\) | |||||||
\(44\) | −0.219176 | + | 0.274838i | −0.0330420 | + | 0.0414334i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.86905 | + | 6.10560i | −0.717903 | + | 0.900221i | ||||
\(47\) | 2.14312 | − | 9.38961i | 0.312606 | − | 1.36962i | −0.537615 | − | 0.843190i | \(-0.680675\pi\) |
0.850221 | − | 0.526426i | \(-0.176468\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.55591 | + | 2.45357i | 0.936559 | + | 0.350510i | ||||
\(50\) | −6.02236 | −0.851690 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.192602 | + | 0.241515i | −0.0267091 | + | 0.0334921i | ||||
\(53\) | −1.39064 | − | 0.669699i | −0.191020 | − | 0.0919902i | 0.335929 | − | 0.941887i | \(-0.390950\pi\) |
−0.526949 | + | 0.849897i | \(0.676664\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.113599 | + | 0.142449i | 0.0153178 | + | 0.0192079i | ||||
\(56\) | −6.10135 | + | 5.33556i | −0.815327 | + | 0.712994i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.566305 | − | 2.48115i | −0.0743596 | − | 0.325790i | ||||
\(59\) | 6.23715 | + | 7.82114i | 0.812008 | + | 1.01823i | 0.999354 | + | 0.0359314i | \(0.0114398\pi\) |
−0.187347 | + | 0.982294i | \(0.559989\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.51520 | − | 3.61913i | 0.962223 | − | 0.463382i | 0.114268 | − | 0.993450i | \(-0.463548\pi\) |
0.847955 | + | 0.530068i | \(0.177833\pi\) | |||||||
\(62\) | 1.62227 | − | 7.10765i | 0.206029 | − | 0.902672i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.97343 | − | 8.64618i | −0.246679 | − | 1.08077i | ||||
\(65\) | 0.0998260 | + | 0.125178i | 0.0123819 | + | 0.0155264i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.7485 | −1.31313 | −0.656566 | − | 0.754268i | \(-0.727992\pi\) | ||||
−0.656566 | + | 0.754268i | \(0.727992\pi\) | |||||||
\(68\) | 1.94642 | 0.236038 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.403656 | + | 0.749289i | 0.0482461 | + | 0.0895571i | ||||
\(71\) | −4.67009 | − | 2.24899i | −0.554237 | − | 0.266907i | 0.135732 | − | 0.990746i | \(-0.456662\pi\) |
−0.689969 | + | 0.723839i | \(0.742376\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.50573 | − | 10.9783i | −0.293274 | − | 1.28492i | −0.879939 | − | 0.475087i | \(-0.842416\pi\) |
0.586665 | − | 0.809830i | \(-0.300441\pi\) | |||||||
\(74\) | −0.861728 | − | 3.77548i | −0.100174 | − | 0.438890i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.281695 | − | 0.135657i | −0.0323126 | − | 0.0155609i | ||||
\(77\) | −0.718586 | + | 1.68337i | −0.0818904 | + | 0.191837i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 15.8299 | 1.78101 | 0.890504 | − | 0.454975i | \(-0.150352\pi\) | ||||
0.890504 | + | 0.454975i | \(0.150352\pi\) | |||||||
\(80\) | −0.717820 | −0.0802547 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.901727 | − | 1.13073i | −0.0995791 | − | 0.124868i | ||||
\(83\) | 1.83820 | + | 8.05367i | 0.201768 | + | 0.884005i | 0.969860 | + | 0.243665i | \(0.0783497\pi\) |
−0.768091 | + | 0.640341i | \(0.778793\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.224486 | − | 0.983539i | 0.0243490 | − | 0.106680i | ||||
\(86\) | 9.12458 | − | 4.39417i | 0.983929 | − | 0.473835i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.32137 | − | 1.65694i | −0.140858 | − | 0.176631i | ||||
\(89\) | −4.13037 | − | 18.0963i | −0.437819 | − | 1.91821i | −0.393847 | − | 0.919176i | \(-0.628856\pi\) |
−0.0439721 | − | 0.999033i | \(-0.514001\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.631460 | + | 1.47927i | −0.0661950 | + | 0.155069i | ||||
\(92\) | 2.02565 | + | 2.54009i | 0.211189 | + | 0.264823i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.5986 | + | 5.10402i | 1.09316 | + | 0.526439i | ||||
\(95\) | −0.101037 | + | 0.126697i | −0.0103662 | + | 0.0129988i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.1405 | 1.23268 | 0.616339 | − | 0.787481i | \(-0.288615\pi\) | ||||
0.616339 | + | 0.787481i | \(0.288615\pi\) | |||||||
\(98\) | −4.70353 | + | 7.13988i | −0.475128 | + | 0.721237i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.557517 | + | 2.44264i | −0.0557517 | + | 0.244264i | ||||
\(101\) | 0.817165 | − | 1.02469i | 0.0813110 | − | 0.101961i | −0.739512 | − | 0.673143i | \(-0.764944\pi\) |
0.820823 | + | 0.571183i | \(0.193515\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.91684 | − | 7.41948i | 0.583003 | − | 0.731063i | −0.399619 | − | 0.916682i | \(-0.630857\pi\) |
0.982622 | + | 0.185618i | \(0.0594288\pi\) | |||||||
\(104\) | −1.16116 | − | 1.45605i | −0.113861 | − | 0.142777i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.17544 | − | 1.47395i | 0.114169 | − | 0.143163i | ||||
\(107\) | −2.76501 | − | 12.1143i | −0.267303 | − | 1.17113i | −0.913137 | − | 0.407653i | \(-0.866347\pi\) |
0.645834 | − | 0.763478i | \(-0.276510\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.314606 | + | 1.37838i | −0.0301338 | + | 0.132025i | −0.987757 | − | 0.155998i | \(-0.950141\pi\) |
0.957624 | + | 0.288023i | \(0.0929978\pi\) | |||||||
\(110\) | −0.200503 | + | 0.0965571i | −0.0191172 | + | 0.00920636i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.42001 | − | 6.34841i | −0.323161 | − | 0.599869i | ||||
\(113\) | −3.07242 | − | 13.4612i | −0.289029 | − | 1.26632i | −0.885860 | − | 0.463952i | \(-0.846431\pi\) |
0.596831 | − | 0.802367i | \(-0.296426\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.51715 | − | 0.730622i | 0.141475 | − | 0.0681308i | ||||
\(116\) | −1.05877 | −0.0983041 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.0086 | + | 5.30144i | −1.01342 | + | 0.488037i | ||||
\(119\) | 9.76799 | − | 2.70065i | 0.895430 | − | 0.247568i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.47947 | + | 4.56507i | 0.861770 | + | 0.415006i | ||||
\(122\) | 2.26707 | + | 9.93270i | 0.205251 | + | 0.899264i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.73265 | − | 1.31597i | −0.245399 | − | 0.118178i | ||||
\(125\) | 2.35643 | + | 1.13480i | 0.210766 | + | 0.101499i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.3774 | + | 9.33165i | −1.71946 | + | 0.828050i | −0.729970 | + | 0.683480i | \(0.760466\pi\) |
−0.989494 | + | 0.144571i | \(0.953820\pi\) | |||||||
\(128\) | 5.23619 | 0.462818 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.176193 | + | 0.0848500i | −0.0154531 | + | 0.00744183i | ||||
\(131\) | −4.11563 | − | 5.16083i | −0.359584 | − | 0.450904i | 0.568828 | − | 0.822457i | \(-0.307397\pi\) |
−0.928412 | + | 0.371552i | \(0.878826\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.60190 | − | 0.289937i | −0.138902 | − | 0.0251407i | ||||
\(134\) | 2.92133 | − | 12.7992i | 0.252364 | − | 1.10568i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.61119 | + | 11.4404i | −0.223907 | + | 0.981002i | ||||
\(137\) | 0.894004 | + | 1.12105i | 0.0763799 | + | 0.0957774i | 0.818553 | − | 0.574430i | \(-0.194776\pi\) |
−0.742174 | + | 0.670208i | \(0.766205\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.24276 | − | 9.08213i | 0.614323 | − | 0.770337i | −0.373210 | − | 0.927747i | \(-0.621743\pi\) |
0.987533 | + | 0.157410i | \(0.0503145\pi\) | |||||||
\(140\) | 0.341277 | − | 0.0943560i | 0.0288431 | − | 0.00797454i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.94737 | − | 4.94985i | 0.331256 | − | 0.415382i | ||||
\(143\) | −0.378909 | − | 0.182473i | −0.0316860 | − | 0.0152592i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.122111 | + | 0.535003i | −0.0101408 | + | 0.0444296i | ||||
\(146\) | 13.7540 | 1.13829 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.61109 | −0.132431 | ||||||||
\(149\) | 2.40170 | − | 10.5225i | 0.196755 | − | 0.862039i | −0.776098 | − | 0.630613i | \(-0.782804\pi\) |
0.972852 | − | 0.231426i | \(-0.0743393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.299677 | − | 0.144317i | −0.0243873 | − | 0.0117443i | 0.421650 | − | 0.906759i | \(-0.361451\pi\) |
−0.446038 | + | 0.895014i | \(0.647165\pi\) | |||||||
\(152\) | 1.17525 | − | 1.47372i | 0.0953253 | − | 0.119534i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.80924 | − | 1.31321i | −0.145792 | − | 0.105822i | ||||
\(155\) | −0.980137 | + | 1.22905i | −0.0787265 | + | 0.0987199i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.40382 | − | 9.28409i | −0.590889 | − | 0.740951i | 0.393038 | − | 0.919522i | \(-0.371424\pi\) |
−0.983927 | + | 0.178571i | \(0.942853\pi\) | |||||||
\(158\) | −4.30243 | + | 18.8502i | −0.342283 | + | 1.49964i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.163978 | + | 0.718433i | −0.0129636 | + | 0.0567971i | ||||
\(161\) | 13.6900 | + | 9.93671i | 1.07892 | + | 0.783122i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.42527 | − | 8.05703i | −0.503266 | − | 0.631076i | 0.463697 | − | 0.885994i | \(-0.346523\pi\) |
−0.966963 | + | 0.254919i | \(0.917951\pi\) | |||||||
\(164\) | −0.542096 | + | 0.261060i | −0.0423306 | + | 0.0203853i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.0899 | −0.783125 | ||||||||
\(167\) | −2.56144 | + | 1.23352i | −0.198210 | + | 0.0954529i | −0.530356 | − | 0.847775i | \(-0.677942\pi\) |
0.332146 | + | 0.943228i | \(0.392227\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.3796 | + | 5.48014i | 0.875356 | + | 0.421549i | ||||
\(170\) | 1.11018 | + | 0.534634i | 0.0851468 | + | 0.0410045i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.937551 | − | 4.10768i | −0.0714876 | − | 0.313207i | ||||
\(173\) | 8.31687 | + | 4.00519i | 0.632320 | + | 0.304509i | 0.722452 | − | 0.691421i | \(-0.243015\pi\) |
−0.0901327 | + | 0.995930i | \(0.528729\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.591293 | + | 13.0318i | 0.0446976 | + | 0.985114i | ||||
\(176\) | 1.69878 | − | 0.818088i | 0.128050 | − | 0.0616657i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 22.6716 | 1.69931 | ||||||||
\(179\) | −15.3996 | + | 7.41607i | −1.15102 | + | 0.554303i | −0.909341 | − | 0.416052i | \(-0.863413\pi\) |
−0.241682 | + | 0.970356i | \(0.577699\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.831306 | − | 3.64219i | −0.0617905 | − | 0.270722i | 0.934590 | − | 0.355727i | \(-0.115767\pi\) |
−0.996381 | + | 0.0850048i | \(0.972909\pi\) | |||||||
\(182\) | −1.58987 | − | 1.15399i | −0.117849 | − | 0.0855394i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.6472 | + | 8.49846i | −1.30097 | + | 0.626515i | ||||
\(185\) | −0.185812 | + | 0.814096i | −0.0136612 | + | 0.0598536i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.589659 | + | 2.58347i | 0.0431202 | + | 0.188922i | ||||
\(188\) | 3.05133 | − | 3.82625i | 0.222541 | − | 0.279058i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.123409 | − | 0.154750i | −0.00895302 | − | 0.0112267i | ||||
\(191\) | −15.2730 | + | 19.1518i | −1.10512 | + | 1.38577i | −0.190388 | + | 0.981709i | \(0.560975\pi\) |
−0.914730 | + | 0.404065i | \(0.867597\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.42392 | + | 1.78554i | −0.102496 | + | 0.128526i | −0.830434 | − | 0.557117i | \(-0.811908\pi\) |
0.727938 | + | 0.685643i | \(0.240479\pi\) | |||||||
\(194\) | −3.29967 | + | 14.4568i | −0.236902 | + | 1.03794i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.46048 | + | 2.56870i | 0.175748 | + | 0.183479i | ||||
\(197\) | −15.8935 | −1.13236 | −0.566182 | − | 0.824280i | \(-0.691580\pi\) | ||||
−0.566182 | + | 0.824280i | \(0.691580\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.66062 | + | 8.35215i | −0.472159 | + | 0.592068i | −0.959698 | − | 0.281033i | \(-0.909323\pi\) |
0.487539 | + | 0.873101i | \(0.337895\pi\) | |||||||
\(200\) | −13.6091 | − | 6.55378i | −0.962307 | − | 0.463423i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.998099 | + | 1.25158i | 0.0702260 | + | 0.0880606i | ||||
\(203\) | −5.31337 | + | 1.46904i | −0.372925 | + | 0.103106i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.0693938 | + | 0.304034i | 0.00484668 | + | 0.0212347i | ||||
\(206\) | 7.22692 | + | 9.06228i | 0.503524 | + | 0.631399i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.49281 | − | 0.718898i | 0.103508 | − | 0.0498466i | ||||
\(209\) | 0.0947185 | − | 0.414989i | 0.00655182 | − | 0.0287054i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.30311 | + | 14.4719i | 0.227396 | + | 0.996286i | 0.951754 | + | 0.306862i | \(0.0992790\pi\) |
−0.724358 | + | 0.689424i | \(0.757864\pi\) | |||||||
\(212\) | −0.489013 | − | 0.613203i | −0.0335855 | − | 0.0421149i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 15.1771 | 1.03749 | ||||||||
\(215\) | −2.18377 | −0.148932 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.5396 | − | 2.81260i | −1.05489 | − | 0.190932i | ||||
\(218\) | −1.55586 | − | 0.749261i | −0.105376 | − | 0.0507464i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0206017 | + | 0.0902618i | 0.00138896 | + | 0.00608545i | ||||
\(221\) | 0.518165 | + | 2.27023i | 0.0348556 | + | 0.152712i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −17.1603 | − | 8.26397i | −1.14914 | − | 0.553396i | −0.240364 | − | 0.970683i | \(-0.577267\pi\) |
−0.908775 | + | 0.417286i | \(0.862981\pi\) | |||||||
\(224\) | −7.13510 | + | 1.97271i | −0.476734 | + | 0.131807i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 16.8645 | 1.12181 | ||||||||
\(227\) | −26.8831 | −1.78429 | −0.892147 | − | 0.451746i | \(-0.850801\pi\) | ||||
−0.892147 | + | 0.451746i | \(0.850801\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.68270 | − | 10.8878i | −0.573769 | − | 0.719484i | 0.407267 | − | 0.913309i | \(-0.366482\pi\) |
−0.981036 | + | 0.193826i | \(0.937910\pi\) | |||||||
\(230\) | 0.457672 | + | 2.00519i | 0.0301780 | + | 0.132218i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.42037 | − | 6.22307i | 0.0932521 | − | 0.408564i | ||||
\(233\) | 14.4360 | − | 6.95200i | 0.945733 | − | 0.455441i | 0.103545 | − | 0.994625i | \(-0.466982\pi\) |
0.842188 | + | 0.539184i | \(0.181267\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.58151 | − | 1.98315i | −0.103166 | − | 0.129367i | ||||
\(236\) | 1.13113 | + | 4.95580i | 0.0736302 | + | 0.322595i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.561067 | + | 12.3657i | 0.0363686 | + | 0.801547i | ||||
\(239\) | 5.61842 | + | 7.04528i | 0.363425 | + | 0.455721i | 0.929603 | − | 0.368562i | \(-0.120150\pi\) |
−0.566178 | + | 0.824283i | \(0.691578\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.1384 | + | 6.80872i | 0.910737 | + | 0.438588i | 0.829755 | − | 0.558128i | \(-0.188480\pi\) |
0.0809822 | + | 0.996716i | \(0.474194\pi\) | |||||||
\(242\) | −8.01249 | + | 10.0473i | −0.515062 | + | 0.645868i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.23853 | 0.271344 | ||||||||
\(245\) | 1.58176 | − | 0.947042i | 0.101055 | − | 0.0605043i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0832343 | − | 0.364673i | 0.00529607 | − | 0.0232036i | ||||
\(248\) | 11.4008 | − | 14.2961i | 0.723951 | − | 0.907805i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.99177 | + | 2.49760i | −0.125970 | + | 0.157962i | ||||
\(251\) | 17.1365 | + | 21.4885i | 1.08165 | + | 1.35634i | 0.929853 | + | 0.367930i | \(0.119933\pi\) |
0.151794 | + | 0.988412i | \(0.451495\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.75778 | + | 3.45815i | −0.173380 | + | 0.217412i | ||||
\(254\) | −5.84548 | − | 25.6107i | −0.366778 | − | 1.60696i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.52372 | − | 11.0571i | 0.157732 | − | 0.691071i | ||||
\(257\) | −14.2541 | + | 6.86442i | −0.889147 | + | 0.428191i | −0.821957 | − | 0.569550i | \(-0.807118\pi\) |
−0.0671899 | + | 0.997740i | \(0.521403\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.08517 | + | 2.23539i | −0.502388 | + | 0.138900i | ||||
\(260\) | 0.0181038 | + | 0.0793179i | 0.00112275 | + | 0.00491909i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.26407 | − | 3.49819i | 0.448776 | − | 0.216119i | ||||
\(263\) | 7.40301 | 0.456489 | 0.228245 | − | 0.973604i | \(-0.426701\pi\) | ||||
0.228245 | + | 0.973604i | \(0.426701\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.366255 | + | 0.176379i | −0.0224989 | + | 0.0108349i | ||||
\(266\) | 0.780636 | − | 1.82872i | 0.0478638 | − | 0.112126i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.92085 | − | 2.36976i | −0.300589 | − | 0.144756i | ||||
\(269\) | 4.09331 | + | 17.9339i | 0.249573 | + | 1.09345i | 0.931989 | + | 0.362487i | \(0.118072\pi\) |
−0.682415 | + | 0.730965i | \(0.739070\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.9708 | − | 7.69114i | −0.970158 | − | 0.467203i | −0.119449 | − | 0.992840i | \(-0.538113\pi\) |
−0.850709 | + | 0.525637i | \(0.823827\pi\) | |||||||
\(272\) | −9.40608 | − | 4.52973i | −0.570327 | − | 0.274655i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.57791 | + | 0.759884i | −0.0953253 | + | 0.0459063i | ||||
\(275\) | −3.41100 | −0.205691 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.0491 | − | 6.28413i | 0.784046 | − | 0.377577i | 0.00136453 | − | 0.999999i | \(-0.499566\pi\) |
0.782682 | + | 0.622422i | \(0.213851\pi\) | |||||||
\(278\) | 8.84643 | + | 11.0931i | 0.530574 | + | 0.665318i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0967573 | + | 2.13249i | 0.00578235 | + | 0.127440i | ||||
\(281\) | −0.791810 | + | 3.46915i | −0.0472355 | + | 0.206952i | −0.993039 | − | 0.117788i | \(-0.962420\pi\) |
0.945803 | + | 0.324740i | \(0.105277\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.35315 | + | 27.8350i | −0.377655 | + | 1.65462i | 0.326968 | + | 0.945035i | \(0.393973\pi\) |
−0.704624 | + | 0.709581i | \(0.748884\pi\) | |||||||
\(284\) | −1.64221 | − | 2.05927i | −0.0974473 | − | 0.122195i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.320272 | − | 0.401608i | 0.0189381 | − | 0.0237476i | ||||
\(287\) | −2.35826 | + | 2.06227i | −0.139204 | + | 0.121732i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.45121 | + | 1.81976i | −0.0853654 | + | 0.107045i | ||||
\(290\) | −0.603890 | − | 0.290818i | −0.0354616 | − | 0.0170774i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.27327 | − | 5.57855i | 0.0745123 | − | 0.326460i | ||||
\(293\) | 27.2921 | 1.59442 | 0.797210 | − | 0.603702i | \(-0.206308\pi\) | ||||
0.797210 | + | 0.603702i | \(0.206308\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.63466 | 0.153396 | ||||||||
\(296\) | 2.16133 | − | 9.46943i | 0.125625 | − | 0.550399i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.8774 | + | 5.71985i | 0.688039 | + | 0.331342i | ||||
\(299\) | −2.42341 | + | 3.03886i | −0.140149 | + | 0.175742i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.4044 | − | 19.3133i | −0.599702 | − | 1.11320i | ||||
\(302\) | 0.253301 | − | 0.317629i | 0.0145758 | − | 0.0182775i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.04559 | + | 1.31113i | 0.0599688 | + | 0.0751985i | ||||
\(305\) | 0.488844 | − | 2.14176i | 0.0279911 | − | 0.122637i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.201667 | + | 0.883562i | −0.0115098 | + | 0.0504275i | −0.980357 | − | 0.197233i | \(-0.936805\pi\) |
0.968847 | + | 0.247660i | \(0.0796617\pi\) | |||||||
\(308\) | −0.700122 | + | 0.612248i | −0.0398931 | + | 0.0348861i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.19716 | − | 1.50119i | −0.0679939 | − | 0.0852616i | ||||
\(311\) | 1.50260 | − | 0.723613i | 0.0852046 | − | 0.0410324i | −0.390796 | − | 0.920477i | \(-0.627800\pi\) |
0.476001 | + | 0.879445i | \(0.342086\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.2183 | 0.634098 | 0.317049 | − | 0.948409i | \(-0.397308\pi\) | ||||
0.317049 | + | 0.948409i | \(0.397308\pi\) | |||||||
\(314\) | 13.0677 | − | 6.29308i | 0.737454 | − | 0.355139i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.24726 | + | 3.49010i | 0.407690 | + | 0.196333i | ||||
\(317\) | 11.4622 | + | 5.51988i | 0.643779 | + | 0.310027i | 0.727137 | − | 0.686492i | \(-0.240850\pi\) |
−0.0833585 | + | 0.996520i | \(0.526565\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.320749 | − | 1.40530i | −0.0179585 | − | 0.0786814i | ||||
\(320\) | −2.10441 | − | 1.01343i | −0.117640 | − | 0.0566524i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −15.5534 | + | 13.6013i | −0.866756 | + | 0.757969i | ||||
\(323\) | −2.12347 | + | 1.02261i | −0.118153 | + | 0.0568995i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.99743 | −0.166268 | ||||||||
\(326\) | 11.3406 | − | 5.46134i | 0.628097 | − | 0.302476i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.807177 | − | 3.53647i | −0.0445689 | − | 0.195269i | ||||
\(329\) | 10.0040 | − | 23.4355i | 0.551540 | − | 1.29204i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.55863 | + | 1.23217i | −0.140635 | + | 0.0677262i | −0.502878 | − | 0.864358i | \(-0.667725\pi\) |
0.362243 | + | 0.932084i | \(0.382011\pi\) | |||||||
\(332\) | −0.934065 | + | 4.09240i | −0.0512634 | + | 0.224600i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.772696 | − | 3.38540i | −0.0422801 | − | 0.185241i | ||||
\(335\) | −1.76499 | + | 2.21323i | −0.0964319 | + | 0.120922i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.8447 | + | 14.8528i | 0.645221 | + | 0.809081i | 0.991645 | − | 0.128997i | \(-0.0411756\pi\) |
−0.346424 | + | 0.938078i | \(0.612604\pi\) | |||||||
\(338\) | −9.61859 | + | 12.0613i | −0.523182 | + | 0.656050i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.319619 | − | 0.400790i | 0.0173338 | − | 0.0217359i | ||||
\(341\) | 0.918839 | − | 4.02570i | 0.0497579 | − | 0.218004i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.9118 | + | 9.47698i | 0.859159 | + | 0.511709i | ||||
\(344\) | 25.4013 | 1.36954 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.02980 | + | 8.81510i | −0.377925 | + | 0.473902i | ||||
\(347\) | −7.80284 | − | 3.75765i | −0.418878 | − | 0.201721i | 0.212559 | − | 0.977148i | \(-0.431820\pi\) |
−0.631437 | + | 0.775427i | \(0.717535\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.2571 | + | 15.3699i | 0.656108 | + | 0.822733i | 0.992913 | − | 0.118841i | \(-0.0379178\pi\) |
−0.336805 | + | 0.941574i | \(0.609346\pi\) | |||||||
\(350\) | −15.6789 | − | 2.83782i | −0.838074 | − | 0.151688i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.430721 | − | 1.88711i | −0.0229575 | − | 0.100583i | ||||
\(353\) | −4.89408 | − | 6.13699i | −0.260486 | − | 0.326639i | 0.634340 | − | 0.773054i | \(-0.281272\pi\) |
−0.894826 | + | 0.446415i | \(0.852700\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.22997 | + | 0.592320i | −0.0652798 | + | 0.0314371i | ||||
\(356\) | 2.09881 | − | 9.19550i | 0.111237 | − | 0.487361i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.64553 | − | 20.3534i | −0.245524 | − | 1.07571i | ||||
\(359\) | 5.31904 | + | 6.66987i | 0.280728 | + | 0.352022i | 0.902126 | − | 0.431473i | \(-0.142006\pi\) |
−0.621397 | + | 0.783496i | \(0.713435\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.6214 | −0.980074 | ||||||||
\(362\) | 4.56304 | 0.239828 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.615235 | + | 0.538016i | −0.0322471 | + | 0.0281997i | ||||
\(365\) | −2.67203 | − | 1.28678i | −0.139861 | − | 0.0673533i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.26281 | − | 23.0579i | −0.274717 | − | 1.20361i | −0.904375 | − | 0.426740i | \(-0.859662\pi\) |
0.629658 | − | 0.776872i | \(-0.283195\pi\) | |||||||
\(368\) | −3.87766 | − | 16.9891i | −0.202137 | − | 0.885620i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.918918 | − | 0.442528i | −0.0477723 | − | 0.0230059i | ||||
\(371\) | −3.30490 | − | 2.39882i | −0.171582 | − | 0.124541i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.03892 | −0.260905 | −0.130453 | − | 0.991455i | \(-0.541643\pi\) | ||||
−0.130453 | + | 0.991455i | \(0.541643\pi\) | |||||||
\(374\) | −3.23664 | −0.167363 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 18.3959 | + | 23.0677i | 0.948695 | + | 1.18963i | ||||
\(377\) | −0.281860 | − | 1.23491i | −0.0145165 | − | 0.0636010i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.29768 | − | 14.4481i | 0.169391 | − | 0.742149i | −0.816852 | − | 0.576847i | \(-0.804283\pi\) |
0.986243 | − | 0.165302i | \(-0.0528599\pi\) | |||||||
\(380\) | −0.0741903 | + | 0.0357282i | −0.00380588 | + | 0.00183282i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −18.6547 | − | 23.3923i | −0.954459 | − | 1.19685i | ||||
\(383\) | −4.89043 | − | 21.4264i | −0.249889 | − | 1.09484i | −0.931678 | − | 0.363286i | \(-0.881655\pi\) |
0.681789 | − | 0.731549i | \(-0.261202\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.228627 | + | 0.424389i | 0.0116519 | + | 0.0216289i | ||||
\(386\) | −1.73920 | − | 2.18089i | −0.0885232 | − | 0.111005i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.55815 | + | 2.67666i | 0.282172 | + | 0.135887i | ||||
\(389\) | 18.4408 | − | 23.1240i | 0.934984 | − | 1.17243i | −0.0498191 | − | 0.998758i | \(-0.515864\pi\) |
0.984803 | − | 0.173675i | \(-0.0555641\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 24.4908 | 1.23855 | ||||||||
\(392\) | −18.3987 | + | 11.0158i | −0.929277 | + | 0.556383i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.31970 | − | 18.9259i | 0.217624 | − | 0.953471i | ||||
\(395\) | 2.59942 | − | 3.25957i | 0.130791 | − | 0.164007i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.88602 | − | 3.61895i | 0.144845 | − | 0.181630i | −0.704117 | − | 0.710084i | \(-0.748657\pi\) |
0.848962 | + | 0.528454i | \(0.177228\pi\) | |||||||
\(398\) | −8.13539 | − | 10.2015i | −0.407790 | − | 0.511353i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.37876 | − | 10.5066i | 0.418938 | − | 0.525332i | ||||
\(401\) | −5.61119 | − | 24.5842i | −0.280210 | − | 1.22768i | −0.897525 | − | 0.440963i | \(-0.854637\pi\) |
0.617316 | − | 0.786716i | \(-0.288220\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.807434 | − | 3.53760i | 0.0402211 | − | 0.176220i | ||||
\(404\) | 0.600033 | − | 0.288960i | 0.0298527 | − | 0.0143763i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.305197 | − | 6.72639i | −0.0151467 | − | 0.333825i | ||||
\(407\) | −0.488074 | − | 2.13839i | −0.0241929 | − | 0.105996i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.58112 | − | 2.20615i | 0.226522 | − | 0.109087i | −0.317181 | − | 0.948365i | \(-0.602736\pi\) |
0.543703 | + | 0.839278i | \(0.317022\pi\) | |||||||
\(410\) | −0.380902 | −0.0188114 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.34465 | − | 2.09227i | 0.214045 | − | 0.103079i | ||||
\(413\) | 12.5527 | + | 23.3010i | 0.617677 | + | 1.14657i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.96019 | + | 0.943980i | 0.0962222 | + | 0.0463382i | ||||
\(416\) | −0.378498 | − | 1.65831i | −0.0185574 | − | 0.0813052i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.468422 | + | 0.225580i | 0.0229113 | + | 0.0110335i | ||||
\(419\) | −24.4711 | − | 11.7847i | −1.19549 | − | 0.575718i | −0.273103 | − | 0.961985i | \(-0.588050\pi\) |
−0.922387 | + | 0.386267i | \(0.873764\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.5627 | + | 5.08674i | −0.514796 | + | 0.247912i | −0.673198 | − | 0.739462i | \(-0.735080\pi\) |
0.158403 | + | 0.987375i | \(0.449366\pi\) | |||||||
\(422\) | −18.1308 | −0.882592 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.26022 | − | 2.05161i | 0.206895 | − | 0.0996352i | ||||
\(425\) | 11.7756 | + | 14.7661i | 0.571201 | + | 0.716263i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 21.2709 | − | 5.88096i | 1.02937 | − | 0.284600i | ||||
\(428\) | 1.40501 | − | 6.15577i | 0.0679139 | − | 0.297550i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.593529 | − | 2.60042i | 0.0286225 | − | 0.125403i | ||||
\(431\) | 15.0594 | + | 18.8839i | 0.725385 | + | 0.909604i | 0.998629 | − | 0.0523404i | \(-0.0166681\pi\) |
−0.273244 | + | 0.961945i | \(0.588097\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.17402 | + | 7.74197i | −0.296704 | + | 0.372056i | −0.907730 | − | 0.419556i | \(-0.862186\pi\) |
0.611025 | + | 0.791611i | \(0.290757\pi\) | |||||||
\(434\) | 7.57274 | − | 17.7400i | 0.363503 | − | 0.851546i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.447930 | + | 0.561686i | −0.0214519 | + | 0.0268999i | ||||
\(437\) | −3.54443 | − | 1.70691i | −0.169553 | − | 0.0816524i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.62609 | + | 24.6495i | −0.268519 | + | 1.17646i | 0.643218 | + | 0.765683i | \(0.277599\pi\) |
−0.911737 | + | 0.410775i | \(0.865258\pi\) | |||||||
\(440\) | −0.558165 | −0.0266095 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.84421 | −0.135285 | ||||||||
\(443\) | −8.38096 | + | 36.7194i | −0.398191 | + | 1.74459i | 0.236318 | + | 0.971676i | \(0.424059\pi\) |
−0.634510 | + | 0.772915i | \(0.718798\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.40450 | − | 2.12109i | −0.208793 | − | 0.100549i | ||||
\(446\) | 14.5047 | − | 18.1883i | 0.686817 | − | 0.861242i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.06353 | − | 23.4398i | −0.0502473 | − | 1.10743i | ||||
\(449\) | −8.18839 | + | 10.2679i | −0.386434 | + | 0.484573i | −0.936559 | − | 0.350509i | \(-0.886008\pi\) |
0.550125 | + | 0.835082i | \(0.314580\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.510729 | − | 0.640434i | −0.0240493 | − | 0.0301568i | ||||
\(452\) | 1.56122 | − | 6.84017i | 0.0734338 | − | 0.321735i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.30657 | − | 32.0122i | 0.342915 | − | 1.50241i | ||||
\(455\) | 0.200907 | + | 0.372934i | 0.00941864 | + | 0.0174834i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.4622 | − | 19.3890i | −0.723293 | − | 0.906981i | 0.275226 | − | 0.961380i | \(-0.411247\pi\) |
−0.998519 | + | 0.0543984i | \(0.982676\pi\) | |||||||
\(458\) | 15.3250 | − | 7.38011i | 0.716088 | − | 0.344850i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.855665 | 0.0398956 | ||||||||
\(461\) | −34.4853 | + | 16.6072i | −1.60614 | + | 0.773476i | −0.999764 | − | 0.0217023i | \(-0.993091\pi\) |
−0.606375 | + | 0.795178i | \(0.707377\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.9730 | + | 7.69218i | 0.742327 | + | 0.357486i | 0.766519 | − | 0.642222i | \(-0.221987\pi\) |
−0.0241922 | + | 0.999707i | \(0.507701\pi\) | |||||||
\(464\) | 5.11651 | + | 2.46398i | 0.237528 | + | 0.114387i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.35483 | + | 19.0798i | 0.201734 | + | 0.883853i | ||||
\(467\) | −37.0828 | − | 17.8582i | −1.71599 | − | 0.826377i | −0.990397 | − | 0.138251i | \(-0.955852\pi\) |
−0.725592 | − | 0.688125i | \(-0.758434\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.9831 | − | 5.06482i | −1.29214 | − | 0.233872i | ||||
\(470\) | 2.79137 | − | 1.34425i | 0.128756 | − | 0.0620057i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −30.6459 | −1.41059 | ||||||||
\(473\) | 5.16807 | − | 2.48881i | 0.237628 | − | 0.114436i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.675085 | − | 2.95774i | −0.0309750 | − | 0.135711i | ||||
\(476\) | 5.06740 | + | 0.917179i | 0.232264 | + | 0.0420388i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.91650 | + | 4.77554i | −0.453570 | + | 0.218428i | ||||
\(479\) | −0.656206 | + | 2.87503i | −0.0299828 | + | 0.131363i | −0.987704 | − | 0.156334i | \(-0.950032\pi\) |
0.957721 | + | 0.287697i | \(0.0928896\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.428897 | − | 1.87912i | −0.0195560 | − | 0.0856804i | ||||
\(482\) | −11.9505 | + | 14.9854i | −0.544329 | + | 0.682567i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.33340 | + | 4.17996i | 0.151518 | + | 0.189998i | ||||
\(485\) | 1.99358 | − | 2.49987i | 0.0905237 | − | 0.113513i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.39287 | − | 1.74660i | 0.0631168 | − | 0.0791460i | −0.749271 | − | 0.662264i | \(-0.769596\pi\) |
0.812388 | + | 0.583118i | \(0.198167\pi\) | |||||||
\(488\) | −5.68614 | + | 24.9126i | −0.257400 | + | 1.12774i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.697823 | + | 2.14095i | 0.0315244 | + | 0.0967181i | ||||
\(491\) | 11.7506 | 0.530297 | 0.265148 | − | 0.964208i | \(-0.414579\pi\) | ||||
0.265148 | + | 0.964208i | \(0.414579\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.97619 | + | 6.23994i | −0.224116 | + | 0.281033i | ||||
\(494\) | 0.411628 | + | 0.198230i | 0.0185200 | + | 0.00891877i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 10.1430 | + | 12.7189i | 0.455434 | + | 0.571097i | ||||
\(497\) | −11.0986 | − | 8.05576i | −0.497839 | − | 0.361350i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.23035 | + | 22.9157i | 0.234143 | + | 1.02585i | 0.946164 | + | 0.323688i | \(0.104923\pi\) |
−0.712021 | + | 0.702158i | \(0.752220\pi\) | |||||||
\(500\) | 0.828627 | + | 1.03906i | 0.0370573 | + | 0.0464684i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −30.2459 | + | 14.5657i | −1.34994 | + | 0.650097i | ||||
\(503\) | 3.48579 | − | 15.2723i | 0.155424 | − | 0.680956i | −0.835830 | − | 0.548988i | \(-0.815013\pi\) |
0.991254 | − | 0.131968i | \(-0.0421297\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0768103 | − | 0.336528i | −0.00341801 | − | 0.0149753i | ||||
\(506\) | −3.36840 | − | 4.22384i | −0.149744 | − | 0.187773i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.9287 | −0.484884 | ||||||||
\(509\) | 24.4548 | 1.08394 | 0.541969 | − | 0.840398i | \(-0.317679\pi\) | ||||
0.541969 | + | 0.840398i | \(0.317679\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.35041 | − | 29.7623i | −0.0597384 | − | 1.31661i | ||||
\(512\) | 21.9161 | + | 10.5542i | 0.968565 | + | 0.466436i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.29997 | − | 18.8394i | −0.189663 | − | 0.830969i | ||||
\(515\) | −0.556159 | − | 2.43669i | −0.0245073 | − | 0.107374i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.00294 | + | 2.89086i | 0.264009 | + | 0.127140i | ||||
\(518\) | −0.464407 | − | 10.2353i | −0.0204049 | − | 0.449714i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.490490 | −0.0215094 | ||||||||
\(521\) | −27.7729 | −1.21675 | −0.608377 | − | 0.793648i | \(-0.708179\pi\) | ||||
−0.608377 | + | 0.793648i | \(0.708179\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.15293 | + | 11.4774i | 0.400230 | + | 0.501872i | 0.940582 | − | 0.339567i | \(-0.110280\pi\) |
−0.540352 | + | 0.841439i | \(0.681709\pi\) | |||||||
\(524\) | −0.746383 | − | 3.27012i | −0.0326059 | − | 0.142856i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.01207 | + | 8.81545i | −0.0877304 | + | 0.384372i | ||||
\(527\) | −20.5992 | + | 9.92005i | −0.897315 | + | 0.432124i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.1475 | + | 13.9785i | 0.484674 | + | 0.607762i | ||||
\(530\) | −0.110486 | − | 0.484073i | −0.00479922 | − | 0.0210268i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.669456 | − | 0.485916i | −0.0290246 | − | 0.0210671i | ||||
\(533\) | −0.448805 | − | 0.562784i | −0.0194399 | − | 0.0243769i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.94851 | − | 1.41993i | −0.127475 | − | 0.0613889i | ||||
\(536\) | 20.5301 | − | 25.7439i | 0.886765 | − | 1.11197i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −22.4681 | −0.968671 | ||||||||
\(539\) | −2.66403 | + | 4.04395i | −0.114748 | + | 0.174185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.02877 | − | 13.2699i | 0.130217 | − | 0.570517i | −0.867153 | − | 0.498041i | \(-0.834053\pi\) |
0.997370 | − | 0.0724760i | \(-0.0230901\pi\) | |||||||
\(542\) | 13.4993 | − | 16.9276i | 0.579843 | − | 0.727101i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.68231 | + | 8.37935i | −0.286502 | + | 0.359262i | ||||
\(545\) | 0.232163 | + | 0.291123i | 0.00994477 | + | 0.0124704i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.9852 | + | 22.5528i | −0.768992 | + | 0.964286i | −0.999962 | − | 0.00867481i | \(-0.997239\pi\) |
0.230970 | + | 0.972961i | \(0.425810\pi\) | |||||||
\(548\) | 0.162131 | + | 0.710341i | 0.00692588 | + | 0.0303443i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.927079 | − | 4.06180i | 0.0395308 | − | 0.173196i | ||||
\(551\) | 1.15508 | − | 0.556256i | 0.0492079 | − | 0.0236973i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 41.2125 | + | 7.45930i | 1.75253 | + | 0.317202i | ||||
\(554\) | 3.93646 | + | 17.2468i | 0.167244 | + | 0.732745i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.31825 | − | 2.56114i | 0.225544 | − | 0.108616i | ||||
\(557\) | 35.1166 | 1.48794 | 0.743970 | − | 0.668213i | \(-0.232941\pi\) | ||||
0.743970 | + | 0.668213i | \(0.232941\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.54146 | − | 2.18705i | 0.192083 | − | 0.0925024i | ||||
\(560\) | −1.86881 | − | 0.338247i | −0.0789716 | − | 0.0142936i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −3.91583 | − | 1.88577i | −0.165179 | − | 0.0795462i | ||||
\(563\) | −7.50581 | − | 32.8851i | −0.316332 | − | 1.38594i | −0.843933 | − | 0.536449i | \(-0.819765\pi\) |
0.527600 | − | 0.849493i | \(-0.323092\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.27633 | − | 1.57780i | −0.137836 | − | 0.0663784i | ||||
\(566\) | −31.4190 | − | 15.1306i | −1.32064 | − | 0.635985i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.3067 | − | 6.88976i | 0.600297 | − | 0.289088i | ||||
\(569\) | 27.8808 | 1.16882 | 0.584412 | − | 0.811457i | \(-0.301325\pi\) | ||||
0.584412 | + | 0.811457i | \(0.301325\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.32747 | − | 3.52872i | 0.306645 | − | 0.147672i | −0.274232 | − | 0.961663i | \(-0.588424\pi\) |
0.580878 | + | 0.813991i | \(0.302709\pi\) | |||||||
\(572\) | −0.133241 | − | 0.167079i | −0.00557111 | − | 0.00698594i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.81479 | − | 3.36871i | −0.0757477 | − | 0.140607i | ||||
\(575\) | −7.01496 | + | 30.7345i | −0.292544 | + | 1.28172i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.38417 | − | 10.4457i | 0.0992542 | − | 0.434861i | −0.900746 | − | 0.434347i | \(-0.856979\pi\) |
1.00000 | 0.000514126i | \(-0.000163652\pi\) | ||||||||
\(578\) | −1.77253 | − | 2.22269i | −0.0737277 | − | 0.0924516i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.173859 | + | 0.218013i | −0.00721911 | + | 0.00905248i | ||||
\(581\) | 0.990653 | + | 21.8335i | 0.0410992 | + | 0.905807i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.665756 | − | 0.834831i | 0.0275728 | − | 0.0345752i | ||||
\(584\) | 31.0806 | + | 14.9676i | 1.28613 | + | 0.619365i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.41773 | + | 32.4992i | −0.306424 | + | 1.34253i | ||||
\(587\) | −18.6672 | −0.770478 | −0.385239 | − | 0.922817i | \(-0.625881\pi\) | ||||
−0.385239 | + | 0.922817i | \(0.625881\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.67261 | 0.151327 | ||||||||
\(590\) | −0.716076 | + | 3.13734i | −0.0294804 | + | 0.129162i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.78561 | + | 3.74935i | 0.319987 | + | 0.154098i | ||||
\(593\) | −0.0838867 | + | 0.105191i | −0.00344481 | + | 0.00431966i | −0.783551 | − | 0.621328i | \(-0.786594\pi\) |
0.780106 | + | 0.625647i | \(0.215165\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.04790 | − | 2.45481i | 0.0429596 | − | 0.100638i | ||||
\(596\) | 3.41949 | − | 4.28791i | 0.140068 | − | 0.175640i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.95999 | − | 3.71172i | −0.121043 | − | 0.151783i | ||||
\(599\) | −0.0561486 | + | 0.246003i | −0.00229417 | + | 0.0100514i | −0.976062 | − | 0.217492i | \(-0.930212\pi\) |
0.973768 | + | 0.227544i | \(0.0730694\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.69428 | + | 29.3296i | −0.273065 | + | 1.19638i | 0.633308 | + | 0.773900i | \(0.281697\pi\) |
−0.906373 | + | 0.422478i | \(0.861160\pi\) | |||||||
\(602\) | 25.8260 | − | 7.14036i | 1.05259 | − | 0.291020i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.105380 | − | 0.132142i | −0.00428784 | − | 0.00537678i | ||||
\(605\) | 2.49662 | − | 1.20231i | 0.101502 | − | 0.0488807i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.0756 | 1.22073 | 0.610365 | − | 0.792120i | \(-0.291023\pi\) | ||||
0.610365 | + | 0.792120i | \(0.291023\pi\) | |||||||
\(608\) | 1.55110 | − | 0.746972i | 0.0629055 | − | 0.0302937i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.41753 | + | 1.16422i | 0.0978831 | + | 0.0471380i | ||||
\(611\) | 5.27511 | + | 2.54036i | 0.213408 | + | 0.102772i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.48999 | + | 10.9094i | 0.100570 | + | 0.440625i | 0.999994 | + | 0.00354752i | \(0.00112921\pi\) |
−0.899424 | + | 0.437077i | \(0.856014\pi\) | |||||||
\(614\) | −0.997328 | − | 0.480288i | −0.0402489 | − | 0.0193828i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.65934 | − | 4.93642i | −0.107148 | − | 0.198894i | ||||
\(617\) | −29.4610 | + | 14.1877i | −1.18606 | + | 0.571174i | −0.919670 | − | 0.392692i | \(-0.871544\pi\) |
−0.266386 | + | 0.963866i | \(0.585830\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.1718 | −0.730385 | −0.365192 | − | 0.930932i | \(-0.618997\pi\) | ||||
−0.365192 | + | 0.930932i | \(0.618997\pi\) | |||||||
\(620\) | −0.719700 | + | 0.346589i | −0.0289039 | + | 0.0139194i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.453282 | + | 1.98596i | 0.0181749 | + | 0.0796296i | ||||
\(623\) | −2.22597 | − | 49.0592i | −0.0891814 | − | 1.96552i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.5911 | + | 10.3977i | −0.863645 | + | 0.415910i | ||||
\(626\) | −3.04904 | + | 13.3587i | −0.121864 | + | 0.533922i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.34271 | − | 5.88279i | −0.0535799 | − | 0.234749i | ||||
\(629\) | −7.57209 | + | 9.49510i | −0.301919 | + | 0.378595i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.79564 | + | 7.26750i | 0.230721 | + | 0.289315i | 0.883693 | − | 0.468067i | \(-0.155050\pi\) |
−0.652972 | + | 0.757382i | \(0.726478\pi\) | |||||||
\(632\) | −30.2360 | + | 37.9148i | −1.20272 | + | 1.50817i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −9.68835 | + | 12.1488i | −0.384773 | + | 0.482491i | ||||
\(635\) | −1.26045 | + | 5.52237i | −0.0500192 | + | 0.219149i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.34103 | + | 3.55364i | −0.0927548 | + | 0.140800i | ||||
\(638\) | 1.76059 | 0.0697025 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.859831 | − | 1.07819i | 0.0339878 | − | 0.0426193i | ||||
\(641\) | 30.7638 | + | 14.8151i | 1.21510 | + | 0.585160i | 0.927942 | − | 0.372724i | \(-0.121576\pi\) |
0.287155 | + | 0.957884i | \(0.407291\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.68251 | − | 9.63356i | −0.302968 | − | 0.379910i | 0.606920 | − | 0.794763i | \(-0.292405\pi\) |
−0.909889 | + | 0.414852i | \(0.863833\pi\) | |||||||
\(644\) | 4.07676 | + | 7.56751i | 0.160647 | + | 0.298202i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.640576 | − | 2.80655i | −0.0252031 | − | 0.110422i | ||||
\(647\) | −1.48480 | − | 1.86189i | −0.0583737 | − | 0.0731983i | 0.751788 | − | 0.659405i | \(-0.229192\pi\) |
−0.810161 | + | 0.586207i | \(0.800620\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.23513 | + | 3.00268i | −0.244750 | + | 0.117866i | ||||
\(650\) | 0.814674 | − | 3.56932i | 0.0319542 | − | 0.140000i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.16525 | − | 5.10527i | −0.0456345 | − | 0.199938i | ||||
\(653\) | 25.7182 | + | 32.2496i | 1.00643 | + | 1.26202i | 0.964826 | + | 0.262891i | \(0.0846759\pi\) |
0.0416056 | + | 0.999134i | \(0.486753\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.73850 | −0.0679288 | ||||||||
\(656\) | 3.22723 | 0.126002 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 25.1879 | + | 18.2823i | 0.981925 | + | 0.712718i | ||||
\(659\) | 42.7495 | + | 20.5871i | 1.66529 | + | 0.801959i | 0.998385 | + | 0.0568128i | \(0.0180938\pi\) |
0.666901 | + | 0.745147i | \(0.267620\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.88583 | − | 25.7875i | −0.228932 | − | 1.00302i | −0.950512 | − | 0.310687i | \(-0.899441\pi\) |
0.721580 | − | 0.692331i | \(-0.243416\pi\) | |||||||
\(662\) | −0.771849 | − | 3.38169i | −0.0299988 | − | 0.131433i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −22.8006 | − | 10.9802i | −0.884837 | − | 0.426115i | ||||
\(665\) | −0.322747 | + | 0.282239i | −0.0125156 | + | 0.0109448i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.3219 | −0.515827 | ||||||||
\(668\) | −1.44464 | −0.0558947 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.15579 | − | 2.70328i | −0.0832855 | − | 0.104437i | ||||
\(671\) | 1.28405 | + | 5.62578i | 0.0495701 | + | 0.217181i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.3952 | − | 45.5443i | 0.400705 | − | 1.75560i | −0.223852 | − | 0.974623i | \(-0.571863\pi\) |
0.624557 | − | 0.780980i | \(-0.285280\pi\) | |||||||
\(674\) | −20.9058 | + | 10.0677i | −0.805263 | + | 0.387794i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.00159 | + | 5.01783i | 0.153907 | + | 0.192993i | ||||
\(677\) | 6.62975 | + | 29.0468i | 0.254802 | + | 1.11636i | 0.926725 | + | 0.375740i | \(0.122611\pi\) |
−0.671923 | + | 0.740621i | \(0.734532\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 31.6071 | + | 5.72077i | 1.21297 | + | 0.219543i | ||||
\(680\) | 1.92692 | + | 2.41628i | 0.0738941 | + | 0.0926603i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.54404 | + | 2.18829i | 0.174000 | + | 0.0837941i | ||||
\(683\) | −25.5870 | + | 32.0851i | −0.979059 | + | 1.22770i | −0.00533178 | + | 0.999986i | \(0.501697\pi\) |
−0.973728 | + | 0.227716i | \(0.926874\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.377640 | 0.0144289 | ||||||||
\(686\) | −15.6098 | + | 16.3720i | −0.595986 | + | 0.625084i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.02873 | + | 22.0323i | −0.191718 | + | 0.839973i | ||||
\(689\) | 0.585035 | − | 0.733611i | 0.0222881 | − | 0.0279484i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.90528 | − | 2.38915i | 0.0724804 | − | 0.0908875i | −0.744269 | − | 0.667879i | \(-0.767202\pi\) |
0.816750 | + | 0.576992i | \(0.195774\pi\) | |||||||
\(692\) | 2.92458 | + | 3.66731i | 0.111176 | + | 0.139410i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.59532 | − | 8.27028i | 0.250355 | − | 0.313935i | ||||
\(695\) | −0.680791 | − | 2.98274i | −0.0258239 | − | 0.113142i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.00926 | + | 4.42187i | −0.0382285 | + | 0.167490i | ||||
\(698\) | −21.6338 | + | 10.4183i | −0.818850 | + | 0.394338i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.60248 | + | 6.09659i | −0.0983644 | + | 0.230429i | ||||
\(701\) | −2.19633 | − | 9.62277i | −0.0829544 | − | 0.363447i | 0.916365 | − | 0.400345i | \(-0.131110\pi\) |
−0.999319 | + | 0.0368977i | \(0.988252\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.75764 | − | 0.846435i | 0.0662907 | − | 0.0319239i | ||||
\(704\) | 6.13523 | 0.231230 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.63805 | − | 4.15987i | 0.325097 | − | 0.156559i | ||||
\(707\) | 2.61030 | − | 2.28268i | 0.0981704 | − | 0.0858489i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.9376 | + | 9.11985i | 0.711215 | + | 0.342503i | 0.754265 | − | 0.656570i | \(-0.227993\pi\) |
−0.0430500 | + | 0.999073i | \(0.513707\pi\) | |||||||
\(710\) | −0.371037 | − | 1.62562i | −0.0139248 | − | 0.0610085i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 51.2323 | + | 24.6722i | 1.92001 | + | 0.924629i | ||||
\(713\) | −34.3835 | − | 16.5582i | −1.28767 | − | 0.620111i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0997937 | + | 0.0480581i | −0.00373207 | + | 0.00179727i | ||||
\(716\) | −8.68531 | −0.324585 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.38810 | + | 4.52107i | −0.350361 | + | 0.168725i | ||||
\(719\) | 15.5889 | + | 19.5478i | 0.581367 | + | 0.729011i | 0.982345 | − | 0.187076i | \(-0.0599012\pi\) |
−0.400978 | + | 0.916087i | \(0.631330\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.9004 | − | 16.5282i | 0.703886 | − | 0.615541i | ||||
\(722\) | 5.06113 | − | 22.1742i | 0.188356 | − | 0.825240i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.422421 | − | 1.85075i | 0.0156992 | − | 0.0687825i | ||||
\(725\) | −6.40543 | − | 8.03216i | −0.237892 | − | 0.298307i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.5324 | + | 34.5246i | −1.02112 | + | 1.28044i | −0.0618114 | + | 0.998088i | \(0.519688\pi\) |
−0.959309 | + | 0.282357i | \(0.908884\pi\) | |||||||
\(728\) | −2.33691 | − | 4.33790i | −0.0866116 | − | 0.160773i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.25853 | − | 2.83210i | 0.0835918 | − | 0.104821i | ||||
\(731\) | −28.6154 | − | 13.7805i | −1.05838 | − | 0.509689i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.62999 | − | 42.1918i | 0.355692 | − | 1.55839i | −0.408107 | − | 0.912934i | \(-0.633811\pi\) |
0.763799 | − | 0.645454i | \(-0.223332\pi\) | |||||||
\(734\) | 28.8876 | 1.06626 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.8895 | −0.659414 | ||||||||
\(737\) | 1.65461 | − | 7.24932i | 0.0609484 | − | 0.267032i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.7573 | + | 9.51464i | 0.726786 | + | 0.350002i | 0.760419 | − | 0.649433i | \(-0.224994\pi\) |
−0.0336333 | + | 0.999434i | \(0.510708\pi\) | |||||||
\(740\) | −0.264556 | + | 0.331742i | −0.00972526 | + | 0.0121951i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.75474 | − | 3.28348i | 0.137841 | − | 0.120540i | ||||
\(743\) | 3.29353 | − | 4.12996i | 0.120828 | − | 0.151514i | −0.717739 | − | 0.696313i | \(-0.754823\pi\) |
0.838567 | + | 0.544799i | \(0.183394\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.77233 | − | 2.22243i | −0.0649332 | − | 0.0814237i | ||||
\(746\) | 1.36953 | − | 6.00031i | 0.0501421 | − | 0.219687i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.299630 | + | 1.31277i | −0.0109556 | + | 0.0479995i | ||||
\(749\) | −1.49013 | − | 32.8418i | −0.0544483 | − | 1.20001i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 12.0682 | + | 15.1330i | 0.440374 | + | 0.552212i | 0.951642 | − | 0.307210i | \(-0.0993953\pi\) |
−0.511268 | + | 0.859422i | \(0.670824\pi\) | |||||||
\(752\) | −23.6501 | + | 11.3893i | −0.862430 | + | 0.415324i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.54713 | 0.0563431 | ||||||||
\(755\) | −0.0789261 | + | 0.0380088i | −0.00287242 | + | 0.00138328i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.9351 | − | 7.19235i | −0.542825 | − | 0.261411i | 0.142316 | − | 0.989821i | \(-0.454545\pi\) |
−0.685141 | + | 0.728411i | \(0.740259\pi\) | |||||||
\(758\) | 16.3084 | + | 7.85372i | 0.592348 | + | 0.285260i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.110469 | − | 0.483995i | −0.00400712 | − | 0.0175564i | ||||
\(761\) | −1.09688 | − | 0.528229i | −0.0397618 | − | 0.0191483i | 0.413897 | − | 0.910324i | \(-0.364167\pi\) |
−0.453659 | + | 0.891175i | \(0.649882\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.46857 | + | 3.44029i | −0.0531659 | + | 0.124547i | ||||
\(764\) | −11.2148 | + | 5.40075i | −0.405736 | + | 0.195392i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 26.8435 | 0.969896 | ||||||||
\(767\) | −5.47915 | + | 2.63862i | −0.197841 | + | 0.0952750i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.22490 | − | 9.74790i | −0.0802318 | − | 0.351518i | 0.918838 | − | 0.394634i | \(-0.129129\pi\) |
−0.999070 | + | 0.0431158i | \(0.986272\pi\) | |||||||
\(770\) | −0.567499 | + | 0.156902i | −0.0204512 | + | 0.00565435i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.04557 | + | 0.503518i | −0.0376308 | + | 0.0181220i | ||||
\(773\) | 8.74191 | − | 38.3008i | 0.314425 | − | 1.37758i | −0.532752 | − | 0.846272i | \(-0.678842\pi\) |
0.847176 | − | 0.531312i | \(-0.178301\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.54882 | − | 28.6923i | −0.235241 | − | 1.03066i | ||||
\(776\) | −23.1889 | + | 29.0780i | −0.832434 | + | 1.04384i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.5239 | + | 28.2440i | 0.807520 | + | 1.01260i | ||||
\(779\) | 0.454251 | − | 0.569613i | 0.0162752 | − | 0.0204085i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.23575 | − | 2.80354i | 0.0800015 | − | 0.100319i | ||||
\(782\) | −6.65636 | + | 29.1634i | −0.238031 | + | 1.04288i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.91237 | − | 18.1393i | −0.211156 | − | 0.647834i | ||||
\(785\) | −3.12748 | −0.111624 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.6664 | + | 18.3910i | −0.522799 | + | 0.655570i | −0.971201 | − | 0.238263i | \(-0.923422\pi\) |
0.448401 | + | 0.893832i | \(0.351994\pi\) | |||||||
\(788\) | −7.27635 | − | 3.50411i | −0.259209 | − | 0.124829i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.17498 | + | 3.98130i | 0.112961 | + | 0.141648i | ||||
\(791\) | −1.65581 | − | 36.4932i | −0.0588737 | − | 1.29755i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.12836 | + | 4.94368i | 0.0400693 | + | 0.175555i | ||||
\(794\) | 3.52503 | + | 4.42025i | 0.125099 | + | 0.156869i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.89080 | + | 2.35528i | −0.173350 | + | 0.0834808i | ||||
\(797\) | 3.34689 | − | 14.6637i | 0.118553 | − | 0.519414i | −0.880424 | − | 0.474187i | \(-0.842742\pi\) |
0.998977 | − | 0.0452265i | \(-0.0144010\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.20913 | − | 35.9666i | −0.290418 | − | 1.27241i | ||||
\(800\) | −8.60158 | − | 10.7860i | −0.304112 | − | 0.381344i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 30.7998 | 1.08758 | ||||||||
\(803\) | 7.79010 | 0.274907 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.29411 | − | 1.18723i | 0.151347 | − | 0.0418445i | ||||
\(806\) | 3.99309 | + | 1.92297i | 0.140651 | + | 0.0677338i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.893444 | + | 3.91443i | 0.0314312 | + | 0.137709i | ||||
\(809\) | 1.34541 | + | 5.89464i | 0.0473022 | + | 0.207245i | 0.993057 | − | 0.117638i | \(-0.0375323\pi\) |
−0.945754 | + | 0.324883i | \(0.894675\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −46.3147 | − | 22.3040i | −1.62633 | − | 0.783199i | −0.999993 | − | 0.00364568i | \(-0.998840\pi\) |
−0.626336 | − | 0.779553i | \(-0.715446\pi\) | |||||||
\(812\) | −2.75645 | − | 0.498906i | −0.0967324 | − | 0.0175082i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.67903 | 0.0939001 | ||||||||
\(815\) | −2.71413 | −0.0950717 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.18093 | + | 3.98876i | 0.111287 | + | 0.139549i | ||||
\(818\) | 1.38196 | + | 6.05478i | 0.0483193 | + | 0.211701i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0352619 | + | 0.154492i | −0.00123140 | + | 0.00539511i | ||||
\(821\) | −14.3255 | + | 6.89880i | −0.499964 | + | 0.240770i | −0.666830 | − | 0.745210i | \(-0.732349\pi\) |
0.166866 | + | 0.985980i | \(0.446635\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.26170 | − | 1.58212i | −0.0439802 | − | 0.0551494i | 0.759355 | − | 0.650677i | \(-0.225515\pi\) |
−0.803335 | + | 0.595527i | \(0.796943\pi\) | |||||||
\(824\) | 6.46915 | + | 28.3432i | 0.225363 | + | 0.987382i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.1583 | + | 8.61465i | −1.08414 | + | 0.299742i | ||||
\(827\) | −9.55215 | − | 11.9780i | −0.332161 | − | 0.416516i | 0.587504 | − | 0.809221i | \(-0.300111\pi\) |
−0.919664 | + | 0.392705i | \(0.871539\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.33036 | + | 1.12224i | 0.0809367 | + | 0.0389770i | 0.473914 | − | 0.880571i | \(-0.342841\pi\) |
−0.392978 | + | 0.919548i | \(0.628555\pi\) | |||||||
\(830\) | −1.65685 | + | 2.07762i | −0.0575100 | + | 0.0721153i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.39136 | 0.186912 | ||||||||
\(833\) | 26.7031 | − | 2.42819i | 0.925206 | − | 0.0841320i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.166615 | + | 0.729986i | −0.00576594 | + | 0.0252622i | ||||
\(836\) | 0.134858 | − | 0.169107i | 0.00466417 | − | 0.00584869i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.6841 | − | 25.9370i | 0.714520 | − | 0.895980i | ||||
\(839\) | 17.0802 | + | 21.4179i | 0.589674 | + | 0.739428i | 0.983729 | − | 0.179659i | \(-0.0574994\pi\) |
−0.394055 | + | 0.919087i | \(0.628928\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.3744 | + | 19.2789i | −0.530151 | + | 0.664788i | ||||
\(842\) | −3.18640 | − | 13.9605i | −0.109811 | − | 0.481112i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.67845 | + | 7.35376i | −0.0577746 | + | 0.253127i | ||||
\(845\) | 2.99706 | − | 1.44331i | 0.103102 | − | 0.0496514i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.5282 | + | 16.3518i | 0.774078 | + | 0.561855i | ||||
\(848\) | 0.936106 | + | 4.10135i | 0.0321460 | + | 0.140841i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −20.7839 | + | 10.0090i | −0.712883 | + | 0.343306i | ||||
\(851\) | −20.2715 | −0.694899 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −49.6552 | + | 23.9127i | −1.70016 | + | 0.818755i | −0.706327 | + | 0.707885i | \(0.749649\pi\) |
−0.993835 | + | 0.110870i | \(0.964636\pi\) | |||||||
\(854\) | 1.22179 | + | 26.9276i | 0.0418086 | + | 0.921443i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.2966 | + | 16.5164i | 1.17223 | + | 0.564518i | ||||
\(857\) | −7.86298 | − | 34.4500i | −0.268594 | − | 1.17679i | −0.911650 | − | 0.410968i | \(-0.865191\pi\) |
0.643055 | − | 0.765820i | \(-0.277666\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −41.1045 | − | 19.7949i | −1.40247 | − | 0.675393i | −0.428808 | − | 0.903396i | \(-0.641066\pi\) |
−0.973660 | + | 0.228003i | \(0.926780\pi\) | |||||||
\(860\) | −0.999773 | − | 0.481466i | −0.0340920 | − | 0.0164178i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −26.5798 | + | 12.8002i | −0.905311 | + | 0.435975i | ||||
\(863\) | 53.9681 | 1.83709 | 0.918547 | − | 0.395311i | \(-0.129363\pi\) | ||||
0.918547 | + | 0.395311i | \(0.129363\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.19042 | − | 1.05485i | 0.0744766 | − | 0.0358660i | ||||
\(866\) | −7.54105 | − | 9.45618i | −0.256255 | − | 0.321334i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.49421 | − | 4.71374i | −0.220428 | − | 0.159995i | ||||
\(869\) | −2.43685 | + | 10.6766i | −0.0826646 | + | 0.362177i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.45400 | − | 6.37037i | 0.0492668 | − | 0.215852i | ||||
\(872\) | −2.70048 | − | 3.38630i | −0.0914498 | − | 0.114674i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.99591 | − | 3.75676i | 0.101338 | − | 0.127074i | ||||
\(875\) | 5.60012 | + | 4.06477i | 0.189319 | + | 0.137414i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.7449 | + | 37.2989i | −1.00441 | + | 1.25949i | −0.0388718 | + | 0.999244i | \(0.512376\pi\) |
−0.965541 | + | 0.260250i | \(0.916195\pi\) | |||||||
\(878\) | −27.8234 | − | 13.3990i | −0.938993 | − | 0.452195i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.110501 | − | 0.484136i | 0.00372498 | − | 0.0163202i | ||||
\(881\) | 19.2658 | 0.649081 | 0.324540 | − | 0.945872i | \(-0.394790\pi\) | ||||
0.324540 | + | 0.945872i | \(0.394790\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.72757 | −0.226401 | −0.113200 | − | 0.993572i | \(-0.536110\pi\) | ||||
−0.113200 | + | 0.993572i | \(0.536110\pi\) | |||||||
\(884\) | −0.263301 | + | 1.15360i | −0.00885578 | + | 0.0387997i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −41.4473 | − | 19.9600i | −1.39245 | − | 0.670569i | ||||
\(887\) | 31.6120 | − | 39.6402i | 1.06143 | − | 1.33099i | 0.120376 | − | 0.992728i | \(-0.461590\pi\) |
0.941052 | − | 0.338261i | \(-0.109839\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −54.8453 | + | 15.1636i | −1.83945 | + | 0.508571i | ||||
\(890\) | 3.72288 | − | 4.66835i | 0.124791 | − | 0.156483i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6.03433 | − | 7.56681i | −0.202044 | − | 0.253356i | ||||
\(893\) | −1.31865 | + | 5.77740i | −0.0441271 | + | 0.193333i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.00170 | + | 4.38875i | −0.0334833 | + | 0.146700i | ||||
\(896\) | 13.6322 | + | 2.46737i | 0.455419 | + | 0.0824290i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.0014 | − | 12.5414i | −0.333752 | − | 0.418512i | ||||
\(899\) | 11.2051 | − | 5.39609i | 0.373711 | − | 0.179970i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.91231 | −0.196968 | ||||||||
\(902\) | 0.901436 | − | 0.434109i | 0.0300145 | − | 0.0144542i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 38.1097 | + | 18.3527i | 1.26751 | + | 0.610401i | ||||
\(905\) | −0.886478 | − | 0.426905i | −0.0294675 | − | 0.0141908i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.74124 | − | 12.0101i | −0.0910213 | − | 0.398790i | 0.908809 | − | 0.417212i | \(-0.136993\pi\) |
−0.999830 | + | 0.0184220i | \(0.994136\pi\) | |||||||
\(908\) | −12.3076 | − | 5.92703i | −0.408442 | − | 0.196695i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.498692 | + | 0.137878i | −0.0165315 | + | 0.00457062i | ||||
\(911\) | 31.7245 | − | 15.2777i | 1.05108 | − | 0.506173i | 0.173116 | − | 0.984901i | \(-0.444616\pi\) |
0.877963 | + | 0.478728i | \(0.158902\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.71479 | −0.189132 | ||||||||
\(914\) | 27.2908 | − | 13.1426i | 0.902701 | − | 0.434718i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.57464 | − | 6.89894i | −0.0520275 | − | 0.227947i | ||||
\(917\) | −8.28297 | − | 15.3753i | −0.273528 | − | 0.507738i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26.5726 | − | 12.7967i | 0.876549 | − | 0.422124i | 0.0591863 | − | 0.998247i | \(-0.481149\pi\) |
0.817363 | + | 0.576123i | \(0.195435\pi\) | |||||||
\(920\) | −1.14790 | + | 5.02930i | −0.0378453 | + | 0.165811i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −10.4030 | − | 45.5785i | −0.342605 | − | 1.50105i | ||||
\(923\) | 1.96468 | − | 2.46363i | 0.0646681 | − | 0.0810912i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.74692 | − | 12.2223i | −0.320477 | − | 0.401865i | ||||
\(926\) | −13.5011 | + | 16.9298i | −0.443674 | + | 0.556349i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.63489 | − | 4.55801i | 0.119321 | − | 0.149624i | ||||
\(929\) | −6.49583 | + | 28.4601i | −0.213121 | + | 0.933745i | 0.749310 | + | 0.662219i | \(0.230385\pi\) |
−0.962431 | + | 0.271526i | \(0.912472\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.03384 | − | 1.50967i | −0.132204 | − | 0.0494775i | ||||
\(932\) | 8.14181 | 0.266694 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 31.3441 | − | 39.3043i | 1.02561 | − | 1.28608i | ||||
\(935\) | 0.628793 | + | 0.302811i | 0.0205637 | + | 0.00990298i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.75823 | + | 7.22060i | 0.188113 | + | 0.235887i | 0.866941 | − | 0.498411i | \(-0.166083\pi\) |
−0.678827 | + | 0.734298i | \(0.737512\pi\) | |||||||
\(938\) | 13.6367 | − | 31.9455i | 0.445254 | − | 1.04306i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.286813 | − | 1.25661i | −0.00935480 | − | 0.0409861i | ||||
\(941\) | −4.24973 | − | 5.32899i | −0.138537 | − | 0.173720i | 0.707723 | − | 0.706490i | \(-0.249723\pi\) |
−0.846260 | + | 0.532770i | \(0.821151\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.82092 | + | 3.28478i | −0.222120 | + | 0.106967i | ||||
\(944\) | 6.06702 | − | 26.5813i | 0.197465 | − | 0.865149i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.55903 | + | 6.83054i | 0.0506883 | + | 0.222080i | ||||
\(947\) | −14.8014 | − | 18.5603i | −0.480980 | − | 0.603130i | 0.480842 | − | 0.876807i | \(-0.340331\pi\) |
−0.961821 | + | 0.273678i | \(0.911760\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.84558 | 0.222217 | ||||||||
\(950\) | 3.70554 | 0.120224 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.1890 | + | 28.5540i | −0.395046 | + | 0.925440i | ||||
\(953\) | −28.4093 | − | 13.6812i | −0.920269 | − | 0.443178i | −0.0871017 | − | 0.996199i | \(-0.527761\pi\) |
−0.833167 | + | 0.553021i | \(0.813475\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.43560 | + | 6.28979i | 0.0464551 | + | 0.203533i | ||||
\(956\) | 1.01892 | + | 4.46418i | 0.0329542 | + | 0.144382i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.24521 | − | 1.56281i | −0.104848 | − | 0.0504922i | ||||
\(959\) | 1.79924 | + | 3.33985i | 0.0581006 | + | 0.107849i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.62698 | 0.149258 | ||||||||
\(962\) | 2.35421 | 0.0759028 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.97171 | + | 6.23433i | 0.160128 | + | 0.200794i | ||||
\(965\) | 0.133843 | + | 0.586405i | 0.00430857 | + | 0.0188771i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −0.832164 | + | 3.64595i | −0.0267606 | + | 0.117246i | −0.986544 | − | 0.163495i | \(-0.947723\pi\) |
0.959784 | + | 0.280741i | \(0.0905803\pi\) | |||||||
\(968\) | −29.0402 | + | 13.9850i | −0.933388 | + | 0.449496i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.43499 | + | 3.05338i | 0.0781827 | + | 0.0980381i | ||||
\(971\) | −11.5725 | − | 50.7023i | −0.371378 | − | 1.62711i | −0.722913 | − | 0.690939i | \(-0.757197\pi\) |
0.351534 | − | 0.936175i | \(-0.385660\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.1358 | − | 20.2320i | 0.741700 | − | 0.648608i | ||||
\(974\) | 1.70127 | + | 2.13333i | 0.0545123 | + | 0.0683562i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −20.4828 | − | 9.86398i | −0.655637 | − | 0.315738i | ||||
\(977\) | 7.08169 | − | 8.88016i | 0.226563 | − | 0.284102i | −0.655537 | − | 0.755163i | \(-0.727558\pi\) |
0.882100 | + | 0.471062i | \(0.156129\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 12.8410 | 0.410399 | ||||||||
\(980\) | 0.932959 | − | 0.0848369i | 0.0298023 | − | 0.00271002i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.19370 | + | 13.9925i | −0.101915 | + | 0.446519i | ||||
\(983\) | −7.22506 | + | 9.05994i | −0.230444 | + | 0.288967i | −0.883587 | − | 0.468267i | \(-0.844879\pi\) |
0.653143 | + | 0.757234i | \(0.273450\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.60986 | + | 3.27266i | −0.0831570 | + | 0.104276i | ||||
\(986\) | −6.07800 | − | 7.62157i | −0.193563 | − | 0.242720i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.118507 | − | 0.148604i | 0.00377022 | − | 0.00472771i | ||||
\(989\) | −11.7967 | − | 51.6848i | −0.375114 | − | 1.64348i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.77334 | − | 20.9134i | 0.151630 | − | 0.664335i | −0.840781 | − | 0.541375i | \(-0.817904\pi\) |
0.992412 | − | 0.122961i | \(-0.0392389\pi\) | |||||||
\(992\) | 15.0468 | − | 7.24617i | 0.477738 | − | 0.230066i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 12.6092 | − | 11.0266i | 0.399941 | − | 0.349744i | ||||
\(995\) | 0.626072 | + | 2.74300i | 0.0198478 | + | 0.0869589i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 37.4176 | − | 18.0194i | 1.18503 | − | 0.570679i | 0.265655 | − | 0.964068i | \(-0.414412\pi\) |
0.919372 | + | 0.393389i | \(0.128697\pi\) | |||||||
\(998\) | −28.7094 | −0.908780 | ||||||||
\(999\) | 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 | 441.2.u.c.64.2 | 24 | ||
3.2 | odd | 2 | 147.2.i.a.64.3 | ✓ | 24 | ||
49.36 | even | 7 | inner | 441.2.u.c.379.2 | 24 | ||
147.92 | odd | 14 | 7203.2.a.a.1.5 | 12 | |||
147.104 | even | 14 | 7203.2.a.b.1.5 | 12 | |||
147.134 | odd | 14 | 147.2.i.a.85.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.i.a.64.3 | ✓ | 24 | 3.2 | odd | 2 | ||
147.2.i.a.85.3 | yes | 24 | 147.134 | odd | 14 | ||
441.2.u.c.64.2 | 24 | 1.1 | even | 1 | trivial | ||
441.2.u.c.379.2 | 24 | 49.36 | even | 7 | inner | ||
7203.2.a.a.1.5 | 12 | 147.92 | odd | 14 | |||
7203.2.a.b.1.5 | 12 | 147.104 | even | 14 |