Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(214,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.h (of order \(3\), degree \(2\), not 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: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 214.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.214 |
Dual form | 441.2.h.e.373.1 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.879385 | −0.621819 | −0.310910 | − | 0.950439i | \(-0.600634\pi\) | ||||
−0.310910 | + | 0.950439i | \(0.600634\pi\) | |||||||
\(3\) | −1.70574 | − | 0.300767i | −0.984808 | − | 0.173648i | ||||
\(4\) | −1.22668 | −0.613341 | ||||||||
\(5\) | 0.673648 | − | 1.16679i | 0.301265 | − | 0.521806i | −0.675158 | − | 0.737673i | \(-0.735925\pi\) |
0.976423 | + | 0.215867i | \(0.0692579\pi\) | |||||||
\(6\) | 1.50000 | + | 0.264490i | 0.612372 | + | 0.107978i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.83750 | 1.00321 | ||||||||
\(9\) | 2.81908 | + | 1.02606i | 0.939693 | + | 0.342020i | ||||
\(10\) | −0.592396 | + | 1.02606i | −0.187332 | + | 0.324469i | ||||
\(11\) | −0.826352 | − | 1.43128i | −0.249154 | − | 0.431548i | 0.714137 | − | 0.700006i | \(-0.246819\pi\) |
−0.963291 | + | 0.268458i | \(0.913486\pi\) | |||||||
\(12\) | 2.09240 | + | 0.368946i | 0.604023 | + | 0.106506i | ||||
\(13\) | −1.68479 | − | 2.91815i | −0.467277 | − | 0.809348i | 0.532024 | − | 0.846729i | \(-0.321432\pi\) |
−0.999301 | + | 0.0373813i | \(0.988098\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.50000 | + | 1.78763i | −0.387298 | + | 0.461564i | ||||
\(16\) | −0.0418891 | −0.0104723 | ||||||||
\(17\) | 0.233956 | − | 0.405223i | 0.0567426 | − | 0.0982810i | −0.836259 | − | 0.548335i | \(-0.815262\pi\) |
0.893001 | + | 0.450054i | \(0.148595\pi\) | |||||||
\(18\) | −2.47906 | − | 0.902302i | −0.584319 | − | 0.212675i | ||||
\(19\) | −1.61334 | − | 2.79439i | −0.370126 | − | 0.641077i | 0.619459 | − | 0.785029i | \(-0.287352\pi\) |
−0.989585 | + | 0.143953i | \(0.954019\pi\) | |||||||
\(20\) | −0.826352 | + | 1.43128i | −0.184778 | + | 0.320045i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.726682 | + | 1.25865i | 0.154929 | + | 0.268345i | ||||
\(23\) | −4.47178 | + | 7.74535i | −0.932431 | + | 1.61502i | −0.153279 | + | 0.988183i | \(0.548983\pi\) |
−0.779152 | + | 0.626835i | \(0.784350\pi\) | |||||||
\(24\) | −4.84002 | − | 0.853427i | −0.987965 | − | 0.174205i | ||||
\(25\) | 1.59240 | + | 2.75811i | 0.318479 | + | 0.551622i | ||||
\(26\) | 1.48158 | + | 2.56617i | 0.290562 | + | 0.503268i | ||||
\(27\) | −4.50000 | − | 2.59808i | −0.866025 | − | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.13429 | + | 5.42874i | −0.582022 | + | 1.00809i | 0.413217 | + | 0.910632i | \(0.364405\pi\) |
−0.995239 | + | 0.0974595i | \(0.968928\pi\) | |||||||
\(30\) | 1.31908 | − | 1.57202i | 0.240830 | − | 0.287010i | ||||
\(31\) | −9.23442 | −1.65855 | −0.829276 | − | 0.558840i | \(-0.811247\pi\) | ||||
−0.829276 | + | 0.558840i | \(0.811247\pi\) | |||||||
\(32\) | −5.63816 | −0.996695 | ||||||||
\(33\) | 0.979055 | + | 2.68993i | 0.170432 | + | 0.468257i | ||||
\(34\) | −0.205737 | + | 0.356347i | −0.0352836 | + | 0.0611130i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.45811 | − | 1.25865i | −0.576352 | − | 0.209775i | ||||
\(37\) | −4.61721 | − | 7.99724i | −0.759065 | − | 1.31474i | −0.943328 | − | 0.331862i | \(-0.892323\pi\) |
0.184263 | − | 0.982877i | \(-0.441010\pi\) | |||||||
\(38\) | 1.41875 | + | 2.45734i | 0.230151 | + | 0.398634i | ||||
\(39\) | 1.99613 | + | 5.48432i | 0.319637 | + | 0.878194i | ||||
\(40\) | 1.91147 | − | 3.31077i | 0.302231 | − | 0.523479i | ||||
\(41\) | 1.70574 | + | 2.95442i | 0.266391 | + | 0.461403i | 0.967927 | − | 0.251231i | \(-0.0808353\pi\) |
−0.701536 | + | 0.712634i | \(0.747502\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.20574 | − | 3.82045i | 0.336372 | − | 0.582613i | −0.647376 | − | 0.762171i | \(-0.724133\pi\) |
0.983747 | + | 0.179558i | \(0.0574668\pi\) | |||||||
\(44\) | 1.01367 | + | 1.75573i | 0.152817 | + | 0.264686i | ||||
\(45\) | 3.09627 | − | 2.59808i | 0.461564 | − | 0.387298i | ||||
\(46\) | 3.93242 | − | 6.81115i | 0.579803 | − | 1.00425i | ||||
\(47\) | −9.35504 | −1.36457 | −0.682286 | − | 0.731085i | \(-0.739014\pi\) | ||||
−0.682286 | + | 0.731085i | \(0.739014\pi\) | |||||||
\(48\) | 0.0714517 | + | 0.0125989i | 0.0103132 | + | 0.00181849i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.40033 | − | 2.42544i | −0.198037 | − | 0.343009i | ||||
\(51\) | −0.520945 | + | 0.620838i | −0.0729468 | + | 0.0869346i | ||||
\(52\) | 2.06670 | + | 3.57964i | 0.286600 | + | 0.496406i | ||||
\(53\) | 0.286989 | − | 0.497079i | 0.0394210 | − | 0.0682791i | −0.845642 | − | 0.533751i | \(-0.820782\pi\) |
0.885063 | + | 0.465472i | \(0.154115\pi\) | |||||||
\(54\) | 3.95723 | + | 2.28471i | 0.538511 | + | 0.310910i | ||||
\(55\) | −2.22668 | −0.300246 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.91147 | + | 5.25173i | 0.253181 | + | 0.695609i | ||||
\(58\) | 2.75624 | − | 4.77396i | 0.361913 | − | 0.626851i | ||||
\(59\) | 10.3969 | 1.35356 | 0.676782 | − | 0.736183i | \(-0.263374\pi\) | ||||
0.676782 | + | 0.736183i | \(0.263374\pi\) | |||||||
\(60\) | 1.84002 | − | 2.19285i | 0.237546 | − | 0.283096i | ||||
\(61\) | −7.63816 | −0.977966 | −0.488983 | − | 0.872293i | \(-0.662632\pi\) | ||||
−0.488983 | + | 0.872293i | \(0.662632\pi\) | |||||||
\(62\) | 8.12061 | 1.03132 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.04189 | 0.630236 | ||||||||
\(65\) | −4.53983 | −0.563097 | ||||||||
\(66\) | −0.860967 | − | 2.36549i | −0.105978 | − | 0.291171i | ||||
\(67\) | 0.596267 | 0.0728456 | 0.0364228 | − | 0.999336i | \(-0.488404\pi\) | ||||
0.0364228 | + | 0.999336i | \(0.488404\pi\) | |||||||
\(68\) | −0.286989 | + | 0.497079i | −0.0348025 | + | 0.0602797i | ||||
\(69\) | 9.95723 | − | 11.8666i | 1.19871 | − | 1.42857i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.554378 | −0.0657925 | −0.0328963 | − | 0.999459i | \(-0.510473\pi\) | ||||
−0.0328963 | + | 0.999459i | \(0.510473\pi\) | |||||||
\(72\) | 7.99912 | + | 2.91144i | 0.942706 | + | 0.343117i | ||||
\(73\) | 1.02481 | − | 1.77503i | 0.119946 | − | 0.207752i | −0.799800 | − | 0.600266i | \(-0.795061\pi\) |
0.919746 | + | 0.392514i | \(0.128395\pi\) | |||||||
\(74\) | 4.06031 | + | 7.03266i | 0.472001 | + | 0.817530i | ||||
\(75\) | −1.88666 | − | 5.18355i | −0.217853 | − | 0.598545i | ||||
\(76\) | 1.97906 | + | 3.42782i | 0.227013 | + | 0.393198i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.75537 | − | 4.82283i | −0.198756 | − | 0.546078i | ||||
\(79\) | −2.40373 | −0.270441 | −0.135221 | − | 0.990816i | \(-0.543174\pi\) | ||||
−0.135221 | + | 0.990816i | \(0.543174\pi\) | |||||||
\(80\) | −0.0282185 | + | 0.0488759i | −0.00315492 | + | 0.00546449i | ||||
\(81\) | 6.89440 | + | 5.78509i | 0.766044 | + | 0.642788i | ||||
\(82\) | −1.50000 | − | 2.59808i | −0.165647 | − | 0.286910i | ||||
\(83\) | −7.52481 | + | 13.0334i | −0.825956 | + | 1.43060i | 0.0752309 | + | 0.997166i | \(0.476031\pi\) |
−0.901187 | + | 0.433431i | \(0.857303\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.315207 | − | 0.545955i | −0.0341891 | − | 0.0592172i | ||||
\(86\) | −1.93969 | + | 3.35965i | −0.209162 | + | 0.362280i | ||||
\(87\) | 6.97906 | − | 8.31731i | 0.748233 | − | 0.891710i | ||||
\(88\) | −2.34477 | − | 4.06126i | −0.249953 | − | 0.432932i | ||||
\(89\) | 4.54323 | + | 7.86911i | 0.481582 | + | 0.834124i | 0.999777 | − | 0.0211385i | \(-0.00672911\pi\) |
−0.518195 | + | 0.855263i | \(0.673396\pi\) | |||||||
\(90\) | −2.72281 | + | 2.28471i | −0.287010 | + | 0.240830i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.48545 | − | 9.50108i | 0.571898 | − | 0.990556i | ||||
\(93\) | 15.7515 | + | 2.77741i | 1.63335 | + | 0.288004i | ||||
\(94\) | 8.22668 | 0.848517 | ||||||||
\(95\) | −4.34730 | −0.446023 | ||||||||
\(96\) | 9.61721 | + | 1.69577i | 0.981553 | + | 0.173074i | ||||
\(97\) | −0.949493 | + | 1.64457i | −0.0964064 | + | 0.166981i | −0.910195 | − | 0.414181i | \(-0.864068\pi\) |
0.813788 | + | 0.581161i | \(0.197402\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.860967 | − | 4.88279i | −0.0865304 | − | 0.490738i | ||||
\(100\) | −1.95336 | − | 3.38332i | −0.195336 | − | 0.338332i | ||||
\(101\) | −0.854570 | − | 1.48016i | −0.0850329 | − | 0.147281i | 0.820372 | − | 0.571830i | \(-0.193766\pi\) |
−0.905405 | + | 0.424548i | \(0.860433\pi\) | |||||||
\(102\) | 0.458111 | − | 0.545955i | 0.0453597 | − | 0.0540576i | ||||
\(103\) | −1.81908 | + | 3.15074i | −0.179239 | + | 0.310451i | −0.941620 | − | 0.336677i | \(-0.890697\pi\) |
0.762381 | + | 0.647128i | \(0.224030\pi\) | |||||||
\(104\) | −4.78059 | − | 8.28023i | −0.468776 | − | 0.811943i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.252374 | + | 0.437124i | −0.0245127 | + | 0.0424573i | ||||
\(107\) | −3.56418 | − | 6.17334i | −0.344562 | − | 0.596799i | 0.640712 | − | 0.767781i | \(-0.278639\pi\) |
−0.985274 | + | 0.170982i | \(0.945306\pi\) | |||||||
\(108\) | 5.52007 | + | 3.18701i | 0.531169 | + | 0.306670i | ||||
\(109\) | −0.201867 | + | 0.349643i | −0.0193353 | + | 0.0334898i | −0.875531 | − | 0.483162i | \(-0.839488\pi\) |
0.856196 | + | 0.516651i | \(0.172822\pi\) | |||||||
\(110\) | 1.95811 | 0.186699 | ||||||||
\(111\) | 5.47044 | + | 15.0299i | 0.519231 | + | 1.42658i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.18479 | − | 12.4444i | −0.675888 | − | 1.17067i | −0.976208 | − | 0.216835i | \(-0.930427\pi\) |
0.300320 | − | 0.953839i | \(-0.402907\pi\) | |||||||
\(114\) | −1.68092 | − | 4.61830i | −0.157433 | − | 0.432543i | ||||
\(115\) | 6.02481 | + | 10.4353i | 0.561817 | + | 0.973095i | ||||
\(116\) | 3.84477 | − | 6.65934i | 0.356978 | − | 0.618304i | ||||
\(117\) | −1.75537 | − | 9.95518i | −0.162284 | − | 0.920357i | ||||
\(118\) | −9.14290 | −0.841672 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −4.25624 | + | 5.07239i | −0.388540 | + | 0.463044i | ||||
\(121\) | 4.13429 | − | 7.16079i | 0.375844 | − | 0.650981i | ||||
\(122\) | 6.71688 | 0.608118 | ||||||||
\(123\) | −2.02094 | − | 5.55250i | −0.182222 | − | 0.500652i | ||||
\(124\) | 11.3277 | 1.01726 | ||||||||
\(125\) | 11.0273 | 0.986315 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −20.7716 | −1.84318 | −0.921589 | − | 0.388167i | \(-0.873108\pi\) | ||||
−0.921589 | + | 0.388167i | \(0.873108\pi\) | |||||||
\(128\) | 6.84255 | 0.604802 | ||||||||
\(129\) | −4.91147 | + | 5.85327i | −0.432431 | + | 0.515351i | ||||
\(130\) | 3.99226 | 0.350144 | ||||||||
\(131\) | −3.58260 | + | 6.20524i | −0.313013 | + | 0.542154i | −0.979013 | − | 0.203797i | \(-0.934672\pi\) |
0.666000 | + | 0.745952i | \(0.268005\pi\) | |||||||
\(132\) | −1.20099 | − | 3.29969i | −0.104533 | − | 0.287201i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.524348 | −0.0452968 | ||||||||
\(135\) | −6.06283 | + | 3.50038i | −0.521806 | + | 0.301265i | ||||
\(136\) | 0.663848 | − | 1.14982i | 0.0569245 | − | 0.0985961i | ||||
\(137\) | −1.28446 | − | 2.22475i | −0.109739 | − | 0.190074i | 0.805925 | − | 0.592017i | \(-0.201668\pi\) |
−0.915665 | + | 0.401943i | \(0.868335\pi\) | |||||||
\(138\) | −8.75624 | + | 10.4353i | −0.745381 | + | 0.888310i | ||||
\(139\) | −3.06670 | − | 5.31169i | −0.260114 | − | 0.450531i | 0.706158 | − | 0.708055i | \(-0.250427\pi\) |
−0.966272 | + | 0.257523i | \(0.917094\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 15.9572 | + | 2.81369i | 1.34384 | + | 0.236956i | ||||
\(142\) | 0.487511 | 0.0409111 | ||||||||
\(143\) | −2.78446 | + | 4.82283i | −0.232848 | + | 0.403305i | ||||
\(144\) | −0.118089 | − | 0.0429807i | −0.00984071 | − | 0.00358173i | ||||
\(145\) | 4.22281 | + | 7.31412i | 0.350685 | + | 0.607405i | ||||
\(146\) | −0.901207 | + | 1.56094i | −0.0745844 | + | 0.129184i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.66385 | + | 9.81007i | 0.465565 | + | 0.806383i | ||||
\(149\) | −0.215537 | + | 0.373321i | −0.0176575 | + | 0.0305837i | −0.874719 | − | 0.484630i | \(-0.838954\pi\) |
0.857062 | + | 0.515214i | \(0.172288\pi\) | |||||||
\(150\) | 1.65910 | + | 4.55834i | 0.135465 | + | 0.372187i | ||||
\(151\) | 1.23530 | + | 2.13960i | 0.100527 | + | 0.174118i | 0.911902 | − | 0.410408i | \(-0.134614\pi\) |
−0.811375 | + | 0.584526i | \(0.801280\pi\) | |||||||
\(152\) | −4.57785 | − | 7.92907i | −0.371313 | − | 0.643132i | ||||
\(153\) | 1.07532 | − | 0.902302i | 0.0869346 | − | 0.0729468i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.22075 | + | 10.7747i | −0.499663 | + | 0.865441i | ||||
\(156\) | −2.44862 | − | 6.72752i | −0.196046 | − | 0.538632i | ||||
\(157\) | −10.1334 | −0.808734 | −0.404367 | − | 0.914597i | \(-0.632508\pi\) | ||||
−0.404367 | + | 0.914597i | \(0.632508\pi\) | |||||||
\(158\) | 2.11381 | 0.168166 | ||||||||
\(159\) | −0.639033 | + | 0.761570i | −0.0506786 | + | 0.0603964i | ||||
\(160\) | −3.79813 | + | 6.57856i | −0.300269 | + | 0.520081i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −6.06283 | − | 5.08732i | −0.476341 | − | 0.399698i | ||||
\(163\) | 1.29813 | + | 2.24843i | 0.101678 | + | 0.176111i | 0.912376 | − | 0.409353i | \(-0.134246\pi\) |
−0.810698 | + | 0.585464i | \(0.800912\pi\) | |||||||
\(164\) | −2.09240 | − | 3.62414i | −0.163389 | − | 0.282998i | ||||
\(165\) | 3.79813 | + | 0.669713i | 0.295684 | + | 0.0521371i | ||||
\(166\) | 6.61721 | − | 11.4613i | 0.513595 | − | 0.889573i | ||||
\(167\) | −11.5915 | − | 20.0771i | −0.896979 | − | 1.55361i | −0.831337 | − | 0.555769i | \(-0.812424\pi\) |
−0.0656422 | − | 0.997843i | \(-0.520910\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.822948 | − | 1.42539i | 0.0633037 | − | 0.109645i | ||||
\(170\) | 0.277189 | + | 0.480105i | 0.0212594 | + | 0.0368224i | ||||
\(171\) | −1.68092 | − | 9.53298i | −0.128543 | − | 0.729005i | ||||
\(172\) | −2.70574 | + | 4.68647i | −0.206311 | + | 0.357340i | ||||
\(173\) | 4.75196 | 0.361285 | 0.180643 | − | 0.983549i | \(-0.442182\pi\) | ||||
0.180643 | + | 0.983549i | \(0.442182\pi\) | |||||||
\(174\) | −6.13728 | + | 7.31412i | −0.465266 | + | 0.554482i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.0346151 | + | 0.0599551i | 0.00260921 | + | 0.00451929i | ||||
\(177\) | −17.7344 | − | 3.12706i | −1.33300 | − | 0.235044i | ||||
\(178\) | −3.99525 | − | 6.91998i | −0.299457 | − | 0.518674i | ||||
\(179\) | 4.26604 | − | 7.38901i | 0.318859 | − | 0.552280i | −0.661391 | − | 0.750041i | \(-0.730034\pi\) |
0.980250 | + | 0.197761i | \(0.0633670\pi\) | |||||||
\(180\) | −3.79813 | + | 3.18701i | −0.283096 | + | 0.237546i | ||||
\(181\) | 17.2344 | 1.28102 | 0.640512 | − | 0.767948i | \(-0.278722\pi\) | ||||
0.640512 | + | 0.767948i | \(0.278722\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 13.0287 | + | 2.29731i | 0.963108 | + | 0.169822i | ||||
\(184\) | −12.6887 | + | 21.9774i | −0.935421 | + | 1.62020i | ||||
\(185\) | −12.4415 | −0.914718 | ||||||||
\(186\) | −13.8516 | − | 2.44242i | −1.01565 | − | 0.179087i | ||||
\(187\) | −0.773318 | −0.0565506 | ||||||||
\(188\) | 11.4757 | 0.836948 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.82295 | 0.277346 | ||||||||
\(191\) | 12.9094 | 0.934092 | 0.467046 | − | 0.884233i | \(-0.345318\pi\) | ||||
0.467046 | + | 0.884233i | \(0.345318\pi\) | |||||||
\(192\) | −8.60014 | − | 1.51644i | −0.620661 | − | 0.109439i | ||||
\(193\) | −0.638156 | −0.0459355 | −0.0229677 | − | 0.999736i | \(-0.507311\pi\) | ||||
−0.0229677 | + | 0.999736i | \(0.507311\pi\) | |||||||
\(194\) | 0.834970 | − | 1.44621i | 0.0599473 | − | 0.103832i | ||||
\(195\) | 7.74376 | + | 1.36543i | 0.554542 | + | 0.0977807i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.4456 | 0.815467 | 0.407733 | − | 0.913101i | \(-0.366319\pi\) | ||||
0.407733 | + | 0.913101i | \(0.366319\pi\) | |||||||
\(198\) | 0.757122 | + | 4.29385i | 0.0538063 | + | 0.305151i | ||||
\(199\) | −1.81908 | + | 3.15074i | −0.128951 | + | 0.223350i | −0.923270 | − | 0.384151i | \(-0.874494\pi\) |
0.794319 | + | 0.607500i | \(0.207828\pi\) | |||||||
\(200\) | 4.51842 | + | 7.82613i | 0.319500 | + | 0.553391i | ||||
\(201\) | −1.01707 | − | 0.179338i | −0.0717389 | − | 0.0126495i | ||||
\(202\) | 0.751497 | + | 1.30163i | 0.0528751 | + | 0.0915824i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.639033 | − | 0.761570i | 0.0447413 | − | 0.0533206i | ||||
\(205\) | 4.59627 | 0.321017 | ||||||||
\(206\) | 1.59967 | − | 2.77071i | 0.111454 | − | 0.193045i | ||||
\(207\) | −20.5535 | + | 17.2464i | −1.42857 | + | 1.19871i | ||||
\(208\) | 0.0705744 | + | 0.122238i | 0.00489345 | + | 0.00847571i | ||||
\(209\) | −2.66637 | + | 4.61830i | −0.184437 | + | 0.319454i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.91147 | − | 5.04282i | −0.200434 | − | 0.347162i | 0.748234 | − | 0.663435i | \(-0.230902\pi\) |
−0.948668 | + | 0.316273i | \(0.897569\pi\) | |||||||
\(212\) | −0.352044 | + | 0.609758i | −0.0241785 | + | 0.0418784i | ||||
\(213\) | 0.945622 | + | 0.166739i | 0.0647930 | + | 0.0114248i | ||||
\(214\) | 3.13429 | + | 5.42874i | 0.214255 | + | 0.371101i | ||||
\(215\) | −2.97178 | − | 5.14728i | −0.202674 | − | 0.351041i | ||||
\(216\) | −12.7687 | − | 7.37203i | −0.868802 | − | 0.501603i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.177519 | − | 0.307471i | 0.0120231 | − | 0.0208246i | ||||
\(219\) | −2.28194 | + | 2.71951i | −0.154199 | + | 0.183767i | ||||
\(220\) | 2.73143 | 0.184153 | ||||||||
\(221\) | −1.57667 | −0.106058 | ||||||||
\(222\) | −4.81062 | − | 13.2171i | −0.322868 | − | 0.887072i | ||||
\(223\) | 3.54189 | − | 6.13473i | 0.237182 | − | 0.410812i | −0.722722 | − | 0.691139i | \(-0.757109\pi\) |
0.959905 | + | 0.280327i | \(0.0904428\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.65910 | + | 9.40923i | 0.110607 | + | 0.627282i | ||||
\(226\) | 6.31820 | + | 10.9434i | 0.420280 | + | 0.727947i | ||||
\(227\) | −5.97178 | − | 10.3434i | −0.396361 | − | 0.686517i | 0.596913 | − | 0.802306i | \(-0.296394\pi\) |
−0.993274 | + | 0.115789i | \(0.963060\pi\) | |||||||
\(228\) | −2.34477 | − | 6.44220i | −0.155286 | − | 0.426645i | ||||
\(229\) | −8.77631 | + | 15.2010i | −0.579955 | + | 1.00451i | 0.415529 | + | 0.909580i | \(0.363597\pi\) |
−0.995484 | + | 0.0949315i | \(0.969737\pi\) | |||||||
\(230\) | −5.29813 | − | 9.17664i | −0.349349 | − | 0.605089i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.89352 | + | 15.4040i | −0.583888 | + | 1.01132i | ||||
\(233\) | −8.12701 | − | 14.0764i | −0.532418 | − | 0.922175i | −0.999284 | − | 0.0378470i | \(-0.987950\pi\) |
0.466865 | − | 0.884328i | \(-0.345383\pi\) | |||||||
\(234\) | 1.54364 | + | 8.75444i | 0.100911 | + | 0.572296i | ||||
\(235\) | −6.30200 | + | 10.9154i | −0.411097 | + | 0.712042i | ||||
\(236\) | −12.7537 | −0.830196 | ||||||||
\(237\) | 4.10014 | + | 0.722965i | 0.266333 | + | 0.0469616i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.54963 | + | 13.0763i | 0.488345 | + | 0.845838i | 0.999910 | − | 0.0134062i | \(-0.00426745\pi\) |
−0.511565 | + | 0.859244i | \(0.670934\pi\) | |||||||
\(240\) | 0.0628336 | − | 0.0748822i | 0.00405589 | − | 0.00483362i | ||||
\(241\) | −7.81908 | − | 13.5430i | −0.503671 | − | 0.872384i | −0.999991 | − | 0.00424420i | \(-0.998649\pi\) |
0.496320 | − | 0.868140i | \(-0.334684\pi\) | |||||||
\(242\) | −3.63563 | + | 6.29710i | −0.233707 | + | 0.404793i | ||||
\(243\) | −10.0201 | − | 11.9415i | −0.642788 | − | 0.766044i | ||||
\(244\) | 9.36959 | 0.599826 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.77719 | + | 4.88279i | 0.113309 | + | 0.311315i | ||||
\(247\) | −5.43629 | + | 9.41593i | −0.345903 | + | 0.599121i | ||||
\(248\) | −26.2026 | −1.66387 | ||||||||
\(249\) | 16.7554 | − | 19.9683i | 1.06183 | − | 1.26544i | ||||
\(250\) | −9.69728 | −0.613310 | ||||||||
\(251\) | −19.0651 | −1.20338 | −0.601690 | − | 0.798730i | \(-0.705506\pi\) | ||||
−0.601690 | + | 0.798730i | \(0.705506\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.7811 | 0.929277 | ||||||||
\(254\) | 18.2662 | 1.14612 | ||||||||
\(255\) | 0.373455 | + | 1.02606i | 0.0233867 | + | 0.0642544i | ||||
\(256\) | −16.1010 | −1.00631 | ||||||||
\(257\) | 13.2909 | − | 23.0204i | 0.829061 | − | 1.43598i | −0.0697146 | − | 0.997567i | \(-0.522209\pi\) |
0.898776 | − | 0.438409i | \(-0.144458\pi\) | |||||||
\(258\) | 4.31908 | − | 5.14728i | 0.268894 | − | 0.320455i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 5.56893 | 0.345370 | ||||||||
\(261\) | −14.4060 | + | 12.0881i | −0.891710 | + | 0.748233i | ||||
\(262\) | 3.15048 | − | 5.45680i | 0.194637 | − | 0.337122i | ||||
\(263\) | 0.367059 | + | 0.635765i | 0.0226338 | + | 0.0392029i | 0.877120 | − | 0.480270i | \(-0.159461\pi\) |
−0.854487 | + | 0.519473i | \(0.826128\pi\) | |||||||
\(264\) | 2.77807 | + | 7.63267i | 0.170978 | + | 0.469759i | ||||
\(265\) | −0.386659 | − | 0.669713i | −0.0237523 | − | 0.0411402i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.38279 | − | 14.7891i | −0.329421 | − | 0.905078i | ||||
\(268\) | −0.731429 | −0.0446792 | ||||||||
\(269\) | −10.4251 | + | 18.0569i | −0.635632 | + | 1.10095i | 0.350749 | + | 0.936470i | \(0.385927\pi\) |
−0.986381 | + | 0.164478i | \(0.947406\pi\) | |||||||
\(270\) | 5.33157 | − | 3.07818i | 0.324469 | − | 0.187332i | ||||
\(271\) | 3.47906 | + | 6.02590i | 0.211338 | + | 0.366047i | 0.952133 | − | 0.305683i | \(-0.0988847\pi\) |
−0.740796 | + | 0.671730i | \(0.765551\pi\) | |||||||
\(272\) | −0.00980018 | + | 0.0169744i | −0.000594223 | + | 0.00102922i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.12954 | + | 1.95642i | 0.0682379 | + | 0.118191i | ||||
\(275\) | 2.63176 | − | 4.55834i | 0.158701 | − | 0.274878i | ||||
\(276\) | −12.2144 | + | 14.5565i | −0.735218 | + | 0.876198i | ||||
\(277\) | −8.93629 | − | 15.4781i | −0.536930 | − | 0.929989i | −0.999067 | − | 0.0431811i | \(-0.986251\pi\) |
0.462138 | − | 0.886808i | \(-0.347083\pi\) | |||||||
\(278\) | 2.69681 | + | 4.67102i | 0.161744 | + | 0.280149i | ||||
\(279\) | −26.0326 | − | 9.47508i | −1.55853 | − | 0.567258i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.1552 | + | 19.3214i | −0.665465 | + | 1.15262i | 0.313694 | + | 0.949524i | \(0.398433\pi\) |
−0.979159 | + | 0.203095i | \(0.934900\pi\) | |||||||
\(282\) | −14.0326 | − | 2.47432i | −0.835627 | − | 0.147344i | ||||
\(283\) | 18.5945 | 1.10533 | 0.552665 | − | 0.833404i | \(-0.313611\pi\) | ||||
0.552665 | + | 0.833404i | \(0.313611\pi\) | |||||||
\(284\) | 0.680045 | 0.0403532 | ||||||||
\(285\) | 7.41534 | + | 1.30753i | 0.439247 | + | 0.0774511i | ||||
\(286\) | 2.44862 | − | 4.24113i | 0.144790 | − | 0.250783i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −15.8944 | − | 5.78509i | −0.936587 | − | 0.340890i | ||||
\(289\) | 8.39053 | + | 14.5328i | 0.493561 | + | 0.854872i | ||||
\(290\) | −3.71348 | − | 6.43193i | −0.218063 | − | 0.377696i | ||||
\(291\) | 2.11422 | − | 2.51963i | 0.123938 | − | 0.147703i | ||||
\(292\) | −1.25712 | + | 2.17740i | −0.0735675 | + | 0.127423i | ||||
\(293\) | 6.54576 | + | 11.3376i | 0.382407 | + | 0.662349i | 0.991406 | − | 0.130822i | \(-0.0417618\pi\) |
−0.608998 | + | 0.793171i | \(0.708428\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.00387 | − | 12.1311i | 0.407781 | − | 0.706298i | ||||
\(296\) | −13.1013 | − | 22.6922i | −0.761499 | − | 1.31895i | ||||
\(297\) | 8.58770i | 0.498309i | ||||||||
\(298\) | 0.189540 | − | 0.328293i | 0.0109798 | − | 0.0190175i | ||||
\(299\) | 30.1361 | 1.74282 | ||||||||
\(300\) | 2.31433 | + | 6.35857i | 0.133618 | + | 0.367112i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.08630 | − | 1.88153i | −0.0625098 | − | 0.108270i | ||||
\(303\) | 1.01249 | + | 2.78179i | 0.0581659 | + | 0.159810i | ||||
\(304\) | 0.0675813 | + | 0.117054i | 0.00387606 | + | 0.00671353i | ||||
\(305\) | −5.14543 | + | 8.91215i | −0.294626 | + | 0.510308i | ||||
\(306\) | −0.945622 | + | 0.793471i | −0.0540576 | + | 0.0453597i | ||||
\(307\) | −6.31046 | −0.360157 | −0.180078 | − | 0.983652i | \(-0.557635\pi\) | ||||
−0.180078 | + | 0.983652i | \(0.557635\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.05051 | − | 4.82721i | 0.230425 | − | 0.274610i | ||||
\(310\) | 5.47044 | − | 9.47508i | 0.310700 | − | 0.538148i | ||||
\(311\) | 9.52435 | 0.540076 | 0.270038 | − | 0.962850i | \(-0.412964\pi\) | ||||
0.270038 | + | 0.962850i | \(0.412964\pi\) | |||||||
\(312\) | 5.66401 | + | 15.5617i | 0.320661 | + | 0.881010i | ||||
\(313\) | 17.6287 | 0.996431 | 0.498215 | − | 0.867053i | \(-0.333989\pi\) | ||||
0.498215 | + | 0.867053i | \(0.333989\pi\) | |||||||
\(314\) | 8.91117 | 0.502886 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.94862 | 0.165873 | ||||||||
\(317\) | 8.07697 | 0.453648 | 0.226824 | − | 0.973936i | \(-0.427166\pi\) | ||||
0.226824 | + | 0.973936i | \(0.427166\pi\) | |||||||
\(318\) | 0.561956 | − | 0.669713i | 0.0315129 | − | 0.0375557i | ||||
\(319\) | 10.3601 | 0.580054 | ||||||||
\(320\) | 3.39646 | − | 5.88284i | 0.189868 | − | 0.328861i | ||||
\(321\) | 4.22281 | + | 11.6021i | 0.235694 | + | 0.647565i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.50980 | −0.0840075 | ||||||||
\(324\) | −8.45723 | − | 7.09646i | −0.469846 | − | 0.394248i | ||||
\(325\) | 5.36571 | − | 9.29369i | 0.297636 | − | 0.515521i | ||||
\(326\) | −1.14156 | − | 1.97724i | −0.0632251 | − | 0.109509i | ||||
\(327\) | 0.449493 | − | 0.535685i | 0.0248570 | − | 0.0296234i | ||||
\(328\) | 4.84002 | + | 8.38316i | 0.267246 | + | 0.462883i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −3.34002 | − | 0.588936i | −0.183862 | − | 0.0324199i | ||||
\(331\) | 23.0496 | 1.26692 | 0.633461 | − | 0.773775i | \(-0.281634\pi\) | ||||
0.633461 | + | 0.773775i | \(0.281634\pi\) | |||||||
\(332\) | 9.23055 | − | 15.9878i | 0.506592 | − | 0.877444i | ||||
\(333\) | −4.81062 | − | 27.2824i | −0.263620 | − | 1.49507i | ||||
\(334\) | 10.1934 | + | 17.6555i | 0.557759 | + | 0.966066i | ||||
\(335\) | 0.401674 | − | 0.695720i | 0.0219458 | − | 0.0380112i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.5116 | − | 25.1348i | −0.790498 | − | 1.36918i | −0.925659 | − | 0.378359i | \(-0.876489\pi\) |
0.135161 | − | 0.990824i | \(-0.456845\pi\) | |||||||
\(338\) | −0.723689 | + | 1.25347i | −0.0393635 | + | 0.0681795i | ||||
\(339\) | 8.51249 | + | 23.3879i | 0.462335 | + | 1.27025i | ||||
\(340\) | 0.386659 | + | 0.669713i | 0.0209695 | + | 0.0363203i | ||||
\(341\) | 7.63088 | + | 13.2171i | 0.413235 | + | 0.715745i | ||||
\(342\) | 1.47818 | + | 8.38316i | 0.0799307 | + | 0.453310i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 6.25877 | − | 10.8405i | 0.337450 | − | 0.584481i | ||||
\(345\) | −7.13816 | − | 19.6119i | −0.384305 | − | 1.05587i | ||||
\(346\) | −4.17881 | −0.224654 | ||||||||
\(347\) | 12.9463 | 0.694991 | 0.347496 | − | 0.937682i | \(-0.387032\pi\) | ||||
0.347496 | + | 0.937682i | \(0.387032\pi\) | |||||||
\(348\) | −8.56108 | + | 10.2027i | −0.458922 | + | 0.546922i | ||||
\(349\) | 0.731429 | − | 1.26687i | 0.0391525 | − | 0.0678141i | −0.845785 | − | 0.533524i | \(-0.820868\pi\) |
0.884938 | + | 0.465710i | \(0.154201\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.5089i | 0.934555i | ||||||||
\(352\) | 4.65910 | + | 8.06980i | 0.248331 | + | 0.430122i | ||||
\(353\) | 7.16637 | + | 12.4125i | 0.381428 | + | 0.660652i | 0.991267 | − | 0.131873i | \(-0.0420992\pi\) |
−0.609839 | + | 0.792525i | \(0.708766\pi\) | |||||||
\(354\) | 15.5954 | + | 2.74989i | 0.828886 | + | 0.146155i | ||||
\(355\) | −0.373455 | + | 0.646844i | −0.0198210 | + | 0.0343309i | ||||
\(356\) | −5.57310 | − | 9.65289i | −0.295374 | − | 0.511602i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.75150 | + | 6.49778i | −0.198273 | + | 0.343418i | ||||
\(359\) | 10.4684 | + | 18.1318i | 0.552500 | + | 0.956958i | 0.998093 | + | 0.0617224i | \(0.0196594\pi\) |
−0.445593 | + | 0.895235i | \(0.647007\pi\) | |||||||
\(360\) | 8.78564 | − | 7.37203i | 0.463044 | − | 0.388540i | ||||
\(361\) | 4.29426 | − | 7.43788i | 0.226014 | − | 0.391467i | ||||
\(362\) | −15.1557 | −0.796566 | ||||||||
\(363\) | −9.20574 | + | 10.9710i | −0.483176 | + | 0.575827i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.38073 | − | 2.39149i | −0.0722707 | − | 0.125176i | ||||
\(366\) | −11.4572 | − | 2.02022i | −0.598879 | − | 0.105599i | ||||
\(367\) | −6.02869 | − | 10.4420i | −0.314695 | − | 0.545067i | 0.664678 | − | 0.747130i | \(-0.268569\pi\) |
−0.979373 | + | 0.202063i | \(0.935236\pi\) | |||||||
\(368\) | 0.187319 | − | 0.324446i | 0.00976466 | − | 0.0169129i | ||||
\(369\) | 1.77719 | + | 10.0789i | 0.0925168 | + | 0.524689i | ||||
\(370\) | 10.9409 | 0.568789 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −19.3221 | − | 3.40700i | −1.00180 | − | 0.176645i | ||||
\(373\) | 0.390530 | − | 0.676417i | 0.0202209 | − | 0.0350235i | −0.855738 | − | 0.517410i | \(-0.826896\pi\) |
0.875959 | + | 0.482386i | \(0.160230\pi\) | |||||||
\(374\) | 0.680045 | 0.0351643 | ||||||||
\(375\) | −18.8097 | − | 3.31667i | −0.971331 | − | 0.171272i | ||||
\(376\) | −26.5449 | −1.36895 | ||||||||
\(377\) | 21.1225 | 1.08786 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.92396 | −0.355660 | −0.177830 | − | 0.984061i | \(-0.556908\pi\) | ||||
−0.177830 | + | 0.984061i | \(0.556908\pi\) | |||||||
\(380\) | 5.33275 | 0.273564 | ||||||||
\(381\) | 35.4308 | + | 6.24741i | 1.81518 | + | 0.320065i | ||||
\(382\) | −11.3523 | −0.580837 | ||||||||
\(383\) | 3.86618 | − | 6.69642i | 0.197553 | − | 0.342171i | −0.750182 | − | 0.661232i | \(-0.770034\pi\) |
0.947734 | + | 0.319061i | \(0.103367\pi\) | |||||||
\(384\) | −11.6716 | − | 2.05802i | −0.595613 | − | 0.105023i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.561185 | 0.0285636 | ||||||||
\(387\) | 10.1382 | − | 8.50692i | 0.515351 | − | 0.432431i | ||||
\(388\) | 1.16473 | − | 2.01736i | 0.0591300 | − | 0.102416i | ||||
\(389\) | −2.69981 | − | 4.67620i | −0.136886 | − | 0.237093i | 0.789431 | − | 0.613840i | \(-0.210376\pi\) |
−0.926316 | + | 0.376747i | \(0.877043\pi\) | |||||||
\(390\) | −6.80974 | − | 1.20074i | −0.344825 | − | 0.0608019i | ||||
\(391\) | 2.09240 | + | 3.62414i | 0.105817 | + | 0.183280i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.97730 | − | 9.50698i | 0.402402 | − | 0.479564i | ||||
\(394\) | −10.0651 | −0.507073 | ||||||||
\(395\) | −1.61927 | + | 2.80466i | −0.0814743 | + | 0.141118i | ||||
\(396\) | 1.05613 | + | 5.98962i | 0.0530726 | + | 0.300990i | ||||
\(397\) | −14.6172 | − | 25.3178i | −0.733617 | − | 1.27066i | −0.955328 | − | 0.295549i | \(-0.904497\pi\) |
0.221711 | − | 0.975112i | \(-0.428836\pi\) | |||||||
\(398\) | 1.59967 | − | 2.77071i | 0.0801842 | − | 0.138883i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0667040 | − | 0.115535i | −0.00333520 | − | 0.00577674i | ||||
\(401\) | 13.6989 | − | 23.7272i | 0.684092 | − | 1.18488i | −0.289629 | − | 0.957139i | \(-0.593532\pi\) |
0.973721 | − | 0.227743i | \(-0.0731346\pi\) | |||||||
\(402\) | 0.894400 | + | 0.157707i | 0.0446086 | + | 0.00786570i | ||||
\(403\) | 15.5581 | + | 26.9474i | 0.775003 | + | 1.34235i | ||||
\(404\) | 1.04829 | + | 1.81568i | 0.0521542 | + | 0.0903337i | ||||
\(405\) | 11.3944 | − | 4.14722i | 0.566192 | − | 0.206077i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.63088 | + | 13.2171i | −0.378249 | + | 0.655146i | ||||
\(408\) | −1.47818 | + | 1.76162i | −0.0731807 | + | 0.0872134i | ||||
\(409\) | 9.02498 | 0.446256 | 0.223128 | − | 0.974789i | \(-0.428373\pi\) | ||||
0.223128 | + | 0.974789i | \(0.428373\pi\) | |||||||
\(410\) | −4.04189 | −0.199615 | ||||||||
\(411\) | 1.52182 | + | 4.18117i | 0.0750659 | + | 0.206242i | ||||
\(412\) | 2.23143 | − | 3.86495i | 0.109935 | − | 0.190412i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 18.0744 | − | 15.1663i | 0.888310 | − | 0.745381i | ||||
\(415\) | 10.1382 | + | 17.5598i | 0.497662 | + | 0.861977i | ||||
\(416\) | 9.49912 | + | 16.4530i | 0.465733 | + | 0.806673i | ||||
\(417\) | 3.63341 | + | 9.98271i | 0.177929 | + | 0.488855i | ||||
\(418\) | 2.34477 | − | 4.06126i | 0.114686 | − | 0.198643i | ||||
\(419\) | 0.0876485 | + | 0.151812i | 0.00428191 | + | 0.00741649i | 0.868158 | − | 0.496287i | \(-0.165304\pi\) |
−0.863877 | + | 0.503704i | \(0.831970\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.3525 | − | 21.3952i | 0.602025 | − | 1.04274i | −0.390490 | − | 0.920607i | \(-0.627694\pi\) |
0.992514 | − | 0.122130i | \(-0.0389724\pi\) | |||||||
\(422\) | 2.56031 | + | 4.43458i | 0.124634 | + | 0.215872i | ||||
\(423\) | −26.3726 | − | 9.59883i | −1.28228 | − | 0.466711i | ||||
\(424\) | 0.814330 | − | 1.41046i | 0.0395474 | − | 0.0684980i | ||||
\(425\) | 1.49020 | 0.0722853 | ||||||||
\(426\) | −0.831566 | − | 0.146628i | −0.0402895 | − | 0.00710413i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.37211 | + | 7.57272i | 0.211334 | + | 0.366041i | ||||
\(429\) | 6.20011 | − | 7.38901i | 0.299344 | − | 0.356745i | ||||
\(430\) | 2.61334 | + | 4.52644i | 0.126026 | + | 0.218284i | ||||
\(431\) | 14.6596 | − | 25.3911i | 0.706126 | − | 1.22305i | −0.260157 | − | 0.965566i | \(-0.583774\pi\) |
0.966283 | − | 0.257481i | \(-0.0828924\pi\) | |||||||
\(432\) | 0.188501 | + | 0.108831i | 0.00906925 | + | 0.00523613i | ||||
\(433\) | −19.6554 | −0.944578 | −0.472289 | − | 0.881444i | \(-0.656572\pi\) | ||||
−0.472289 | + | 0.881444i | \(0.656572\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.00316 | − | 13.7461i | −0.239883 | − | 0.659073i | ||||
\(436\) | 0.247626 | − | 0.428901i | 0.0118591 | − | 0.0205406i | ||||
\(437\) | 28.8580 | 1.38047 | ||||||||
\(438\) | 2.00670 | − | 2.39149i | 0.0958839 | − | 0.114270i | ||||
\(439\) | 21.9299 | 1.04666 | 0.523330 | − | 0.852130i | \(-0.324690\pi\) | ||||
0.523330 | + | 0.852130i | \(0.324690\pi\) | |||||||
\(440\) | −6.31820 | −0.301208 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.38650 | 0.0659489 | ||||||||
\(443\) | −18.7101 | −0.888942 | −0.444471 | − | 0.895793i | \(-0.646608\pi\) | ||||
−0.444471 | + | 0.895793i | \(0.646608\pi\) | |||||||
\(444\) | −6.71048 | − | 18.4369i | −0.318466 | − | 0.874977i | ||||
\(445\) | 12.2422 | 0.580334 | ||||||||
\(446\) | −3.11468 | + | 5.39479i | −0.147485 | + | 0.255451i | ||||
\(447\) | 0.479933 | − | 0.571962i | 0.0227000 | − | 0.0270529i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.68004 | 0.315251 | 0.157625 | − | 0.987499i | \(-0.449616\pi\) | ||||
0.157625 | + | 0.987499i | \(0.449616\pi\) | |||||||
\(450\) | −1.45899 | − | 8.27433i | −0.0687774 | − | 0.390056i | ||||
\(451\) | 2.81908 | − | 4.88279i | 0.132745 | − | 0.229921i | ||||
\(452\) | 8.81345 | + | 15.2653i | 0.414550 | + | 0.718022i | ||||
\(453\) | −1.46357 | − | 4.02114i | −0.0687647 | − | 0.188929i | ||||
\(454\) | 5.25150 | + | 9.09586i | 0.246465 | + | 0.426890i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 5.42380 | + | 14.9018i | 0.253993 | + | 0.697839i | ||||
\(457\) | −19.4287 | −0.908837 | −0.454418 | − | 0.890788i | \(-0.650153\pi\) | ||||
−0.454418 | + | 0.890788i | \(0.650153\pi\) | |||||||
\(458\) | 7.71776 | − | 13.3676i | 0.360627 | − | 0.624625i | ||||
\(459\) | −2.10560 | + | 1.21567i | −0.0982810 | + | 0.0567426i | ||||
\(460\) | −7.39053 | − | 12.8008i | −0.344585 | − | 0.596839i | ||||
\(461\) | −0.482926 | + | 0.836452i | −0.0224921 | + | 0.0389575i | −0.877052 | − | 0.480395i | \(-0.840493\pi\) |
0.854560 | + | 0.519352i | \(0.173827\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.222811 | + | 0.385920i | 0.0103549 | + | 0.0179352i | 0.871156 | − | 0.491006i | \(-0.163371\pi\) |
−0.860802 | + | 0.508941i | \(0.830037\pi\) | |||||||
\(464\) | 0.131292 | − | 0.227405i | 0.00609509 | − | 0.0105570i | ||||
\(465\) | 13.8516 | − | 16.5077i | 0.642354 | − | 0.765528i | ||||
\(466\) | 7.14677 | + | 12.3786i | 0.331068 | + | 0.573426i | ||||
\(467\) | −17.1074 | − | 29.6309i | −0.791637 | − | 1.37115i | −0.924953 | − | 0.380081i | \(-0.875896\pi\) |
0.133317 | − | 0.991074i | \(-0.457437\pi\) | |||||||
\(468\) | 2.15328 | + | 12.2118i | 0.0995352 | + | 0.564492i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 5.54189 | − | 9.59883i | 0.255628 | − | 0.442761i | ||||
\(471\) | 17.2849 | + | 3.04780i | 0.796448 | + | 0.140435i | ||||
\(472\) | 29.5012 | 1.35790 | ||||||||
\(473\) | −7.29086 | −0.335234 | ||||||||
\(474\) | −3.60560 | − | 0.635765i | −0.165611 | − | 0.0292016i | ||||
\(475\) | 5.13816 | − | 8.89955i | 0.235755 | − | 0.408339i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.31908 | − | 1.10684i | 0.0603964 | − | 0.0506786i | ||||
\(478\) | −6.63903 | − | 11.4991i | −0.303662 | − | 0.525959i | ||||
\(479\) | −10.8965 | − | 18.8732i | −0.497872 | − | 0.862339i | 0.502125 | − | 0.864795i | \(-0.332552\pi\) |
−0.999997 | + | 0.00245553i | \(0.999218\pi\) | |||||||
\(480\) | 8.45723 | − | 10.0789i | 0.386018 | − | 0.460038i | ||||
\(481\) | −15.5581 | + | 26.9474i | −0.709388 | + | 1.22870i | ||||
\(482\) | 6.87598 | + | 11.9095i | 0.313192 | + | 0.542465i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.07145 | + | 8.78401i | −0.230521 | + | 0.399273i | ||||
\(485\) | 1.27925 | + | 2.21572i | 0.0580877 | + | 0.100611i | ||||
\(486\) | 8.81150 | + | 10.5011i | 0.399698 | + | 0.476341i | ||||
\(487\) | −9.69640 | + | 16.7947i | −0.439386 | + | 0.761039i | −0.997642 | − | 0.0686297i | \(-0.978137\pi\) |
0.558256 | + | 0.829669i | \(0.311471\pi\) | |||||||
\(488\) | −21.6732 | −0.981101 | ||||||||
\(489\) | −1.53802 | − | 4.22567i | −0.0695516 | − | 0.191091i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.0783 | − | 22.6523i | −0.590216 | − | 1.02228i | −0.994203 | − | 0.107519i | \(-0.965709\pi\) |
0.403987 | − | 0.914765i | \(-0.367624\pi\) | |||||||
\(492\) | 2.47906 | + | 6.81115i | 0.111764 | + | 0.307070i | ||||
\(493\) | 1.46657 | + | 2.54017i | 0.0660509 | + | 0.114403i | ||||
\(494\) | 4.78059 | − | 8.28023i | 0.215089 | − | 0.372545i | ||||
\(495\) | −6.27719 | − | 2.28471i | −0.282139 | − | 0.102690i | ||||
\(496\) | 0.386821 | 0.0173688 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −14.7344 | + | 17.5598i | −0.660265 | + | 0.786873i | ||||
\(499\) | 7.15064 | − | 12.3853i | 0.320107 | − | 0.554441i | −0.660403 | − | 0.750911i | \(-0.729615\pi\) |
0.980510 | + | 0.196470i | \(0.0629479\pi\) | |||||||
\(500\) | −13.5270 | −0.604947 | ||||||||
\(501\) | 13.7335 | + | 37.7326i | 0.613570 | + | 1.68577i | ||||
\(502\) | 16.7656 | 0.748284 | ||||||||
\(503\) | −18.7033 | −0.833937 | −0.416969 | − | 0.908921i | \(-0.636908\pi\) | ||||
−0.416969 | + | 0.908921i | \(0.636908\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.30272 | −0.102470 | ||||||||
\(506\) | −12.9982 | −0.577842 | ||||||||
\(507\) | −1.83244 | + | 2.18382i | −0.0813817 | + | 0.0969869i | ||||
\(508\) | 25.4801 | 1.13050 | ||||||||
\(509\) | −12.8045 | + | 22.1781i | −0.567551 | + | 0.983027i | 0.429257 | + | 0.903183i | \(0.358776\pi\) |
−0.996807 | + | 0.0798442i | \(0.974558\pi\) | |||||||
\(510\) | −0.328411 | − | 0.902302i | −0.0145423 | − | 0.0399546i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 16.7663i | 0.740252i | ||||||||
\(514\) | −11.6878 | + | 20.2438i | −0.515526 | + | 0.892917i | ||||
\(515\) | 2.45084 | + | 4.24497i | 0.107997 | + | 0.187056i | ||||
\(516\) | 6.02481 | − | 7.18009i | 0.265228 | − | 0.316086i | ||||
\(517\) | 7.73055 | + | 13.3897i | 0.339989 | + | 0.588879i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.10560 | − | 1.42924i | −0.355796 | − | 0.0627365i | ||||
\(520\) | −12.8817 | −0.564902 | ||||||||
\(521\) | −10.6061 | + | 18.3702i | −0.464660 | + | 0.804815i | −0.999186 | − | 0.0403370i | \(-0.987157\pi\) |
0.534526 | + | 0.845152i | \(0.320490\pi\) | |||||||
\(522\) | 12.6684 | − | 10.6301i | 0.554482 | − | 0.465266i | ||||
\(523\) | 10.4029 | + | 18.0183i | 0.454885 | + | 0.787884i | 0.998682 | − | 0.0513330i | \(-0.0163470\pi\) |
−0.543796 | + | 0.839217i | \(0.683014\pi\) | |||||||
\(524\) | 4.39470 | − | 7.61185i | 0.191984 | − | 0.332525i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.322786 | − | 0.559082i | −0.0140741 | − | 0.0243771i | ||||
\(527\) | −2.16044 | + | 3.74200i | −0.0941104 | + | 0.163004i | ||||
\(528\) | −0.0410117 | − | 0.112679i | −0.00178481 | − | 0.00490371i | ||||
\(529\) | −28.4937 | − | 49.3525i | −1.23885 | − | 2.14576i | ||||
\(530\) | 0.340022 | + | 0.588936i | 0.0147696 | + | 0.0255817i | ||||
\(531\) | 29.3097 | + | 10.6679i | 1.27193 | + | 0.462946i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.74763 | − | 9.95518i | 0.248957 | − | 0.431207i | ||||
\(534\) | 4.73355 | + | 13.0053i | 0.204841 | + | 0.562795i | ||||
\(535\) | −9.60401 | −0.415217 | ||||||||
\(536\) | 1.69190 | 0.0730791 | ||||||||
\(537\) | −9.49912 | + | 11.3206i | −0.409917 | + | 0.488521i | ||||
\(538\) | 9.16772 | − | 15.8790i | 0.395248 | − | 0.684590i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 7.43717 | − | 4.29385i | 0.320045 | − | 0.184778i | ||||
\(541\) | −13.3648 | − | 23.1486i | −0.574599 | − | 0.995235i | −0.996085 | − | 0.0884001i | \(-0.971825\pi\) |
0.421486 | − | 0.906835i | \(-0.361509\pi\) | |||||||
\(542\) | −3.05943 | − | 5.29909i | −0.131414 | − | 0.227615i | ||||
\(543\) | −29.3974 | − | 5.18355i | −1.26156 | − | 0.222448i | ||||
\(544\) | −1.31908 | + | 2.28471i | −0.0565550 | + | 0.0979561i | ||||
\(545\) | 0.271974 | + | 0.471073i | 0.0116501 | + | 0.0201786i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.3812 | + | 31.8372i | −0.785923 | + | 1.36126i | 0.142523 | + | 0.989792i | \(0.454479\pi\) |
−0.928446 | + | 0.371467i | \(0.878855\pi\) | |||||||
\(548\) | 1.57563 | + | 2.72907i | 0.0673074 | + | 0.116580i | ||||
\(549\) | −21.5326 | − | 7.83721i | −0.918987 | − | 0.334484i | ||||
\(550\) | −2.31433 | + | 4.00854i | −0.0986834 | + | 0.170925i | ||||
\(551\) | 20.2267 | 0.861686 | ||||||||
\(552\) | 28.2536 | − | 33.6713i | 1.20255 | − | 1.43315i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.85844 | + | 13.6112i | 0.333873 | + | 0.578285i | ||||
\(555\) | 21.2219 | + | 3.74200i | 0.900821 | + | 0.158839i | ||||
\(556\) | 3.76187 | + | 6.51575i | 0.159539 | + | 0.276329i | ||||
\(557\) | −16.1694 | + | 28.0062i | −0.685118 | + | 1.18666i | 0.288282 | + | 0.957546i | \(0.406916\pi\) |
−0.973400 | + | 0.229114i | \(0.926417\pi\) | |||||||
\(558\) | 22.8926 | + | 8.33224i | 0.969123 | + | 0.352732i | ||||
\(559\) | −14.8648 | −0.628716 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.31908 | + | 0.232589i | 0.0556915 | + | 0.00981992i | ||||
\(562\) | 9.80974 | − | 16.9910i | 0.413799 | − | 0.716721i | ||||
\(563\) | 17.7419 | 0.747730 | 0.373865 | − | 0.927483i | \(-0.378032\pi\) | ||||
0.373865 | + | 0.927483i | \(0.378032\pi\) | |||||||
\(564\) | −19.5744 | − | 3.45150i | −0.824233 | − | 0.145334i | ||||
\(565\) | −19.3601 | −0.814485 | ||||||||
\(566\) | −16.3517 | −0.687315 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.57304 | −0.0660035 | ||||||||
\(569\) | −26.6013 | −1.11519 | −0.557593 | − | 0.830115i | \(-0.688275\pi\) | ||||
−0.557593 | + | 0.830115i | \(0.688275\pi\) | |||||||
\(570\) | −6.52094 | − | 1.14982i | −0.273132 | − | 0.0481606i | ||||
\(571\) | −10.0172 | −0.419208 | −0.209604 | − | 0.977786i | \(-0.567218\pi\) | ||||
−0.209604 | + | 0.977786i | \(0.567218\pi\) | |||||||
\(572\) | 3.41565 | − | 5.91608i | 0.142815 | − | 0.247364i | ||||
\(573\) | −22.0201 | − | 3.88273i | −0.919902 | − | 0.162203i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −28.4834 | −1.18784 | ||||||||
\(576\) | 14.2135 | + | 5.17328i | 0.592228 | + | 0.215553i | ||||
\(577\) | −16.4572 | + | 28.5048i | −0.685124 | + | 1.18667i | 0.288274 | + | 0.957548i | \(0.406918\pi\) |
−0.973398 | + | 0.229121i | \(0.926415\pi\) | |||||||
\(578\) | −7.37851 | − | 12.7800i | −0.306905 | − | 0.531576i | ||||
\(579\) | 1.08853 | + | 0.191936i | 0.0452376 | + | 0.00797661i | ||||
\(580\) | −5.18004 | − | 8.97210i | −0.215090 | − | 0.372546i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.85921 | + | 2.21572i | −0.0770668 | + | 0.0918447i | ||||
\(583\) | −0.948615 | −0.0392876 | ||||||||
\(584\) | 2.90791 | − | 5.03665i | 0.120330 | − | 0.208418i | ||||
\(585\) | −12.7981 | − | 4.65814i | −0.529138 | − | 0.192590i | ||||
\(586\) | −5.75624 | − | 9.97011i | −0.237788 | − | 0.411861i | ||||
\(587\) | −7.53643 | + | 13.0535i | −0.311062 | + | 0.538774i | −0.978592 | − | 0.205808i | \(-0.934018\pi\) |
0.667531 | + | 0.744582i | \(0.267351\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.8983 | + | 25.8046i | 0.613873 | + | 1.06326i | ||||
\(590\) | −6.15910 | + | 10.6679i | −0.253566 | + | 0.439189i | ||||
\(591\) | −19.5232 | − | 3.44247i | −0.803078 | − | 0.141604i | ||||
\(592\) | 0.193411 | + | 0.334997i | 0.00794913 | + | 0.0137683i | ||||
\(593\) | 20.5005 | + | 35.5079i | 0.841853 | + | 1.45813i | 0.888326 | + | 0.459213i | \(0.151869\pi\) |
−0.0464729 | + | 0.998920i | \(0.514798\pi\) | |||||||
\(594\) | − | 7.55190i | − | 0.309858i | ||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.264396 | − | 0.457947i | 0.0108301 | − | 0.0187582i | ||||
\(597\) | 4.05051 | − | 4.82721i | 0.165776 | − | 0.197564i | ||||
\(598\) | −26.5012 | −1.08372 | ||||||||
\(599\) | 6.07367 | 0.248164 | 0.124082 | − | 0.992272i | \(-0.460401\pi\) | ||||
0.124082 | + | 0.992272i | \(0.460401\pi\) | |||||||
\(600\) | −5.35339 | − | 14.7083i | −0.218551 | − | 0.600464i | ||||
\(601\) | −7.06758 | + | 12.2414i | −0.288293 | + | 0.499338i | −0.973402 | − | 0.229102i | \(-0.926421\pi\) |
0.685110 | + | 0.728440i | \(0.259754\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.68092 | + | 0.611806i | 0.0684524 | + | 0.0249147i | ||||
\(604\) | −1.51532 | − | 2.62461i | −0.0616575 | − | 0.106794i | ||||
\(605\) | −5.57011 | − | 9.64771i | −0.226457 | − | 0.392235i | ||||
\(606\) | −0.890367 | − | 2.44626i | −0.0361687 | − | 0.0993727i | ||||
\(607\) | 23.0449 | − | 39.9149i | 0.935363 | − | 1.62010i | 0.161377 | − | 0.986893i | \(-0.448406\pi\) |
0.773986 | − | 0.633203i | \(-0.218260\pi\) | |||||||
\(608\) | 9.09627 | + | 15.7552i | 0.368902 | + | 0.638958i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.52481 | − | 7.83721i | 0.183204 | − | 0.317319i | ||||
\(611\) | 15.7613 | + | 27.2994i | 0.637634 | + | 1.10441i | ||||
\(612\) | −1.31908 | + | 1.10684i | −0.0533206 | + | 0.0447413i | ||||
\(613\) | 13.2469 | − | 22.9443i | 0.535038 | − | 0.926712i | −0.464124 | − | 0.885770i | \(-0.653631\pi\) |
0.999162 | − | 0.0409421i | \(-0.0130359\pi\) | |||||||
\(614\) | 5.54933 | 0.223953 | ||||||||
\(615\) | −7.84002 | − | 1.38241i | −0.316140 | − | 0.0557440i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.12495 | + | 1.94847i | 0.0452889 | + | 0.0784426i | 0.887781 | − | 0.460266i | \(-0.152246\pi\) |
−0.842492 | + | 0.538708i | \(0.818913\pi\) | |||||||
\(618\) | −3.56196 | + | 4.24497i | −0.143283 | + | 0.170758i | ||||
\(619\) | 3.09539 | + | 5.36137i | 0.124414 | + | 0.215492i | 0.921504 | − | 0.388369i | \(-0.126962\pi\) |
−0.797090 | + | 0.603861i | \(0.793628\pi\) | |||||||
\(620\) | 7.63088 | − | 13.2171i | 0.306464 | − | 0.530811i | ||||
\(621\) | 40.2460 | − | 23.2361i | 1.61502 | − | 0.932431i | ||||
\(622\) | −8.37557 | −0.335830 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.0836160 | − | 0.229733i | −0.00334732 | − | 0.00919668i | ||||
\(625\) | −0.533433 | + | 0.923933i | −0.0213373 | + | 0.0369573i | ||||
\(626\) | −15.5024 | −0.619600 | ||||||||
\(627\) | 5.93717 | − | 7.07564i | 0.237108 | − | 0.282574i | ||||
\(628\) | 12.4305 | 0.496030 | ||||||||
\(629\) | −4.32089 | −0.172285 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.1661 | 1.04166 | 0.520829 | − | 0.853661i | \(-0.325623\pi\) | ||||
0.520829 | + | 0.853661i | \(0.325623\pi\) | |||||||
\(632\) | −6.82058 | −0.271308 | ||||||||
\(633\) | 3.44949 | + | 9.47740i | 0.137105 | + | 0.376693i | ||||
\(634\) | −7.10277 | −0.282087 | ||||||||
\(635\) | −13.9927 | + | 24.2361i | −0.555284 | + | 0.961781i | ||||
\(636\) | 0.783890 | − | 0.934204i | 0.0310833 | − | 0.0370436i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −9.11051 | −0.360689 | ||||||||
\(639\) | −1.56283 | − | 0.568825i | −0.0618247 | − | 0.0225024i | ||||
\(640\) | 4.60947 | − | 7.98384i | 0.182205 | − | 0.315589i | ||||
\(641\) | −2.44444 | − | 4.23389i | −0.0965496 | − | 0.167229i | 0.813705 | − | 0.581278i | \(-0.197447\pi\) |
−0.910254 | + | 0.414050i | \(0.864114\pi\) | |||||||
\(642\) | −3.71348 | − | 10.2027i | −0.146559 | − | 0.402668i | ||||
\(643\) | −20.1839 | − | 34.9596i | −0.795976 | − | 1.37867i | −0.922218 | − | 0.386671i | \(-0.873625\pi\) |
0.126242 | − | 0.992000i | \(-0.459709\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.52094 | + | 9.67372i | 0.138637 | + | 0.380902i | ||||
\(646\) | 1.32770 | 0.0522375 | ||||||||
\(647\) | −1.14038 | + | 1.97519i | −0.0448329 | + | 0.0776528i | −0.887571 | − | 0.460671i | \(-0.847609\pi\) |
0.842738 | + | 0.538324i | \(0.180942\pi\) | |||||||
\(648\) | 19.5628 | + | 16.4152i | 0.768501 | + | 0.644849i | ||||
\(649\) | −8.59152 | − | 14.8809i | −0.337247 | − | 0.584128i | ||||
\(650\) | −4.71853 | + | 8.17273i | −0.185076 | + | 0.320561i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.59240 | − | 2.75811i | −0.0623631 | − | 0.108016i | ||||
\(653\) | −11.7396 | + | 20.3336i | −0.459407 | + | 0.795717i | −0.998930 | − | 0.0462542i | \(-0.985272\pi\) |
0.539522 | + | 0.841971i | \(0.318605\pi\) | |||||||
\(654\) | −0.395277 | + | 0.471073i | −0.0154566 | + | 0.0184204i | ||||
\(655\) | 4.82682 | + | 8.36030i | 0.188599 | + | 0.326664i | ||||
\(656\) | −0.0714517 | − | 0.123758i | −0.00278972 | − | 0.00483194i | ||||
\(657\) | 4.71032 | − | 3.95243i | 0.183767 | − | 0.154199i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 23.9812 | − | 41.5366i | 0.934174 | − | 1.61804i | 0.158073 | − | 0.987427i | \(-0.449472\pi\) |
0.776101 | − | 0.630609i | \(-0.217195\pi\) | |||||||
\(660\) | −4.65910 | − | 0.821525i | −0.181355 | − | 0.0319778i | ||||
\(661\) | −29.3090 | −1.13999 | −0.569995 | − | 0.821648i | \(-0.693055\pi\) | ||||
−0.569995 | + | 0.821648i | \(0.693055\pi\) | |||||||
\(662\) | −20.2695 | −0.787797 | ||||||||
\(663\) | 2.68938 | + | 0.474210i | 0.104447 | + | 0.0184168i | ||||
\(664\) | −21.3516 | + | 36.9821i | −0.828604 | + | 1.43518i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.23039 | + | 23.9917i | 0.163924 | + | 0.929661i | ||||
\(667\) | −28.0317 | − | 48.5523i | −1.08539 | − | 1.87995i | ||||
\(668\) | 14.2191 | + | 24.6282i | 0.550154 | + | 0.952894i | ||||
\(669\) | −7.88666 | + | 9.39895i | −0.304916 | + | 0.363385i | ||||
\(670\) | −0.353226 | + | 0.611806i | −0.0136463 | + | 0.0236361i | ||||
\(671\) | 6.31180 | + | 10.9324i | 0.243664 | + | 0.422039i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −13.1591 | + | 22.7922i | −0.507246 | + | 0.878576i | 0.492719 | + | 0.870189i | \(0.336003\pi\) |
−0.999965 | + | 0.00838731i | \(0.997330\pi\) | |||||||
\(674\) | 12.7613 | + | 22.1032i | 0.491547 | + | 0.851384i | ||||
\(675\) | − | 16.5487i | − | 0.636959i | ||||||
\(676\) | −1.00950 | + | 1.74850i | −0.0388267 | + | 0.0672499i | ||||
\(677\) | −35.8907 | −1.37939 | −0.689697 | − | 0.724098i | \(-0.742256\pi\) | ||||
−0.689697 | + | 0.724098i | \(0.742256\pi\) | |||||||
\(678\) | −7.48576 | − | 20.5669i | −0.287489 | − | 0.789869i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −0.894400 | − | 1.54915i | −0.0342987 | − | 0.0594070i | ||||
\(681\) | 7.07532 | + | 19.4393i | 0.271127 | + | 0.744915i | ||||
\(682\) | −6.71048 | − | 11.6229i | −0.256958 | − | 0.445064i | ||||
\(683\) | −17.5321 | + | 30.3665i | −0.670847 | + | 1.16194i | 0.306818 | + | 0.951768i | \(0.400736\pi\) |
−0.977664 | + | 0.210172i | \(0.932597\pi\) | |||||||
\(684\) | 2.06196 | + | 11.6939i | 0.0788409 | + | 0.447129i | ||||
\(685\) | −3.46110 | −0.132242 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 19.5421 | − | 23.2893i | 0.745576 | − | 0.888543i | ||||
\(688\) | −0.0923963 | + | 0.160035i | −0.00352257 | + | 0.00610128i | ||||
\(689\) | −1.93407 | −0.0736821 | ||||||||
\(690\) | 6.27719 | + | 17.2464i | 0.238968 | + | 0.656561i | ||||
\(691\) | −2.06687 | −0.0786273 | −0.0393136 | − | 0.999227i | \(-0.512517\pi\) | ||||
−0.0393136 | + | 0.999227i | \(0.512517\pi\) | |||||||
\(692\) | −5.82915 | −0.221591 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.3847 | −0.432159 | ||||||||
\(695\) | −8.26352 | −0.313453 | ||||||||
\(696\) | 19.8030 | − | 23.6003i | 0.750632 | − | 0.894569i | ||||
\(697\) | 1.59627 | 0.0604629 | ||||||||
\(698\) | −0.643208 | + | 1.11407i | −0.0243458 | + | 0.0421681i | ||||
\(699\) | 9.62882 | + | 26.4550i | 0.364196 | + | 1.00062i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.36009 | −0.277987 | −0.138993 | − | 0.990293i | \(-0.544387\pi\) | ||||
−0.138993 | + | 0.990293i | \(0.544387\pi\) | |||||||
\(702\) | − | 15.3970i | − | 0.581124i | ||||||
\(703\) | −14.8983 | + | 25.8046i | −0.561899 | + | 0.973237i | ||||
\(704\) | −4.16637 | − | 7.21637i | −0.157026 | − | 0.271977i | ||||
\(705\) | 14.0326 | − | 16.7233i | 0.528497 | − | 0.629838i | ||||
\(706\) | −6.30200 | − | 10.9154i | −0.237179 | − | 0.410806i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 21.7545 | + | 3.83590i | 0.817584 | + | 0.144162i | ||||
\(709\) | 9.10876 | 0.342086 | 0.171043 | − | 0.985264i | \(-0.445286\pi\) | ||||
0.171043 | + | 0.985264i | \(0.445286\pi\) | |||||||
\(710\) | 0.328411 | − | 0.568825i | 0.0123251 | − | 0.0213476i | ||||
\(711\) | −6.77631 | − | 2.46638i | −0.254132 | − | 0.0924963i | ||||
\(712\) | 12.8914 | + | 22.3286i | 0.483126 | + | 0.836799i | ||||
\(713\) | 41.2943 | − | 71.5239i | 1.54648 | − | 2.67859i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.75150 | + | 6.49778i | 0.140298 | + | 0.243003i | ||||
\(716\) | −5.23308 | + | 9.06396i | −0.195569 | + | 0.338736i | ||||
\(717\) | −8.94475 | − | 24.5755i | −0.334048 | − | 0.917788i | ||||
\(718\) | −9.20574 | − | 15.9448i | −0.343555 | − | 0.595055i | ||||
\(719\) | −12.9768 | − | 22.4765i | −0.483954 | − | 0.838233i | 0.515876 | − | 0.856663i | \(-0.327467\pi\) |
−0.999830 | + | 0.0184300i | \(0.994133\pi\) | |||||||
\(720\) | −0.129700 | + | 0.108831i | −0.00483362 | + | 0.00405589i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.77631 | + | 6.54076i | −0.140540 | + | 0.243422i | ||||
\(723\) | 9.26399 | + | 25.4526i | 0.344531 | + | 0.946592i | ||||
\(724\) | −21.1411 | −0.785705 | ||||||||
\(725\) | −19.9641 | −0.741448 | ||||||||
\(726\) | 8.09539 | − | 9.64771i | 0.300448 | − | 0.358060i | ||||
\(727\) | −5.08007 | + | 8.79894i | −0.188409 | + | 0.326335i | −0.944720 | − | 0.327878i | \(-0.893667\pi\) |
0.756311 | + | 0.654213i | \(0.227000\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | 1.21419 | + | 2.10304i | 0.0449393 | + | 0.0778372i | ||||
\(731\) | −1.03209 | − | 1.78763i | −0.0381732 | − | 0.0661179i | ||||
\(732\) | −15.9820 | − | 2.81807i | −0.590714 | − | 0.104159i | ||||
\(733\) | 20.3307 | − | 35.2138i | 0.750931 | − | 1.30065i | −0.196441 | − | 0.980516i | \(-0.562938\pi\) |
0.947372 | − | 0.320135i | \(-0.103728\pi\) | |||||||
\(734\) | 5.30154 | + | 9.18253i | 0.195683 | + | 0.338933i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 25.2126 | − | 43.6695i | 0.929349 | − | 1.60968i | ||||
\(737\) | −0.492726 | − | 0.853427i | −0.0181498 | − | 0.0314364i | ||||
\(738\) | −1.56283 | − | 8.86327i | −0.0575287 | − | 0.326261i | ||||
\(739\) | 12.6809 | − | 21.9640i | 0.466475 | − | 0.807959i | −0.532791 | − | 0.846247i | \(-0.678857\pi\) |
0.999267 | + | 0.0382877i | \(0.0121903\pi\) | |||||||
\(740\) | 15.2618 | 0.561034 | ||||||||
\(741\) | 12.1049 | − | 14.4260i | 0.444684 | − | 0.529954i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 11.2221 | + | 19.4372i | 0.411699 | + | 0.713083i | 0.995076 | − | 0.0991184i | \(-0.0316023\pi\) |
−0.583377 | + | 0.812202i | \(0.698269\pi\) | |||||||
\(744\) | 44.6948 | + | 7.88090i | 1.63859 | + | 0.288928i | ||||
\(745\) | 0.290393 | + | 0.502975i | 0.0106392 | + | 0.0184276i | ||||
\(746\) | −0.343426 | + | 0.594831i | −0.0125737 | + | 0.0217783i | ||||
\(747\) | −34.5861 | + | 29.0211i | −1.26544 | + | 1.06183i | ||||
\(748\) | 0.948615 | 0.0346848 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 16.5410 | + | 2.91663i | 0.603992 | + | 0.106500i | ||||
\(751\) | −12.1086 | + | 20.9727i | −0.441849 | + | 0.765305i | −0.997827 | − | 0.0658924i | \(-0.979011\pi\) |
0.555978 | + | 0.831197i | \(0.312344\pi\) | |||||||
\(752\) | 0.391874 | 0.0142902 | ||||||||
\(753\) | 32.5201 | + | 5.73417i | 1.18510 | + | 0.208965i | ||||
\(754\) | −18.5748 | −0.676454 | ||||||||
\(755\) | 3.32863 | 0.121141 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.11793 | 0.331397 | 0.165698 | − | 0.986176i | \(-0.447012\pi\) | ||||
0.165698 | + | 0.986176i | \(0.447012\pi\) | |||||||
\(758\) | 6.08883 | 0.221156 | ||||||||
\(759\) | −25.2126 | − | 4.44566i | −0.915159 | − | 0.161367i | ||||
\(760\) | −12.3354 | −0.447453 | ||||||||
\(761\) | −9.13610 | + | 15.8242i | −0.331183 | + | 0.573626i | −0.982744 | − | 0.184970i | \(-0.940781\pi\) |
0.651561 | + | 0.758596i | \(0.274114\pi\) | |||||||
\(762\) | −31.1573 | − | 5.49388i | −1.12871 | − | 0.199022i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −15.8357 | −0.572917 | ||||||||
\(765\) | −0.328411 | − | 1.86251i | −0.0118737 | − | 0.0673393i | ||||
\(766\) | −3.39986 | + | 5.88874i | −0.122842 | + | 0.212769i | ||||
\(767\) | −17.5167 | − | 30.3398i | −0.632490 | − | 1.09550i | ||||
\(768\) | 27.4641 | + | 4.84266i | 0.991025 | + | 0.174744i | ||||
\(769\) | 9.26470 | + | 16.0469i | 0.334094 | + | 0.578667i | 0.983310 | − | 0.181936i | \(-0.0582365\pi\) |
−0.649217 | + | 0.760604i | \(0.724903\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −29.5945 | + | 35.2694i | −1.06582 | + | 1.27020i | ||||
\(772\) | 0.782814 | 0.0281741 | ||||||||
\(773\) | −1.48040 | + | 2.56413i | −0.0532463 | + | 0.0922253i | −0.891420 | − | 0.453178i | \(-0.850290\pi\) |
0.838174 | + | 0.545403i | \(0.183624\pi\) | |||||||
\(774\) | −8.91534 | + | 7.48086i | −0.320455 | + | 0.268894i | ||||
\(775\) | −14.7049 | − | 25.4696i | −0.528214 | − | 0.914894i | ||||
\(776\) | −2.69418 | + | 4.66646i | −0.0967155 | + | 0.167516i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.37417 | + | 4.11218i | 0.0851181 | + | 0.147429i | ||||
\(779\) | 5.50387 | − | 9.53298i | 0.197197 | − | 0.341555i | ||||
\(780\) | −9.49912 | − | 1.67495i | −0.340123 | − | 0.0599729i | ||||
\(781\) | 0.458111 | + | 0.793471i | 0.0163925 | + | 0.0283926i | ||||
\(782\) | −1.84002 | − | 3.18701i | −0.0657991 | − | 0.113967i | ||||
\(783\) | 28.2086 | − | 16.2862i | 1.00809 | − | 0.582022i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.82635 | + | 11.8236i | −0.243643 | + | 0.422002i | ||||
\(786\) | −7.01512 | + | 8.36030i | −0.250221 | + | 0.298202i | ||||
\(787\) | 33.4020 | 1.19065 | 0.595326 | − | 0.803484i | \(-0.297023\pi\) | ||||
0.595326 | + | 0.803484i | \(0.297023\pi\) | |||||||
\(788\) | −14.0401 | −0.500159 | ||||||||
\(789\) | −0.434889 | − | 1.19485i | −0.0154824 | − | 0.0425377i | ||||
\(790\) | 1.42396 | − | 2.46638i | 0.0506623 | − | 0.0877497i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −2.44299 | − | 13.8549i | −0.0868079 | − | 0.492312i | ||||
\(793\) | 12.8687 | + | 22.2893i | 0.456981 | + | 0.791515i | ||||
\(794\) | 12.8542 | + | 22.2641i | 0.456177 | + | 0.790122i | ||||
\(795\) | 0.458111 | + | 1.25865i | 0.0162475 | + | 0.0446397i | ||||
\(796\) | 2.23143 | − | 3.86495i | 0.0790909 | − | 0.136989i | ||||
\(797\) | 24.6755 | + | 42.7391i | 0.874050 | + | 1.51390i | 0.857772 | + | 0.514031i | \(0.171848\pi\) |
0.0162779 | + | 0.999868i | \(0.494818\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.18866 | + | 3.79088i | −0.0774293 | + | 0.134112i | ||||
\(800\) | −8.97818 | − | 15.5507i | −0.317427 | − | 0.549799i | ||||
\(801\) | 4.73355 | + | 26.8453i | 0.167252 | + | 0.948531i | ||||
\(802\) | −12.0466 | + | 20.8654i | −0.425382 | + | 0.736782i | ||||
\(803\) | −3.38743 | −0.119540 | ||||||||
\(804\) | 1.24763 | + | 0.219990i | 0.0440004 | + | 0.00775845i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.6816 | − | 23.6971i | −0.481912 | − | 0.834696i | ||||
\(807\) | 23.2135 | − | 27.6647i | 0.817153 | − | 0.973845i | ||||
\(808\) | −2.42484 | − | 4.19995i | −0.0853056 | − | 0.147754i | ||||
\(809\) | −9.91400 | + | 17.1716i | −0.348558 | + | 0.603720i | −0.985993 | − | 0.166784i | \(-0.946662\pi\) |
0.637436 | + | 0.770503i | \(0.279995\pi\) | |||||||
\(810\) | −10.0201 | + | 3.64701i | −0.352069 | + | 0.128143i | ||||
\(811\) | 23.8557 | 0.837686 | 0.418843 | − | 0.908059i | \(-0.362436\pi\) | ||||
0.418843 | + | 0.908059i | \(0.362436\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.12196 | − | 11.3250i | −0.144563 | − | 0.397185i | ||||
\(814\) | 6.71048 | − | 11.6229i | 0.235202 | − | 0.407382i | ||||
\(815\) | 3.49794 | 0.122528 | ||||||||
\(816\) | 0.0218219 | − | 0.0260063i | 0.000763919 | − | 0.000910403i | ||||
\(817\) | −14.2344 | −0.497999 | ||||||||
\(818\) | −7.93643 | −0.277491 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.63816 | −0.196893 | ||||||||
\(821\) | −50.9427 | −1.77791 | −0.888957 | − | 0.457991i | \(-0.848569\pi\) | ||||
−0.888957 | + | 0.457991i | \(0.848569\pi\) | |||||||
\(822\) | −1.33827 | − | 3.67686i | −0.0466774 | − | 0.128245i | ||||
\(823\) | 13.6149 | 0.474587 | 0.237293 | − | 0.971438i | \(-0.423740\pi\) | ||||
0.237293 | + | 0.971438i | \(0.423740\pi\) | |||||||
\(824\) | −5.16163 | + | 8.94020i | −0.179814 | + | 0.311447i | ||||
\(825\) | −5.86009 | + | 6.98378i | −0.204022 | + | 0.243144i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.2158 | 1.25935 | 0.629673 | − | 0.776861i | \(-0.283189\pi\) | ||||
0.629673 | + | 0.776861i | \(0.283189\pi\) | |||||||
\(828\) | 25.2126 | − | 21.1559i | 0.876198 | − | 0.735218i | ||||
\(829\) | 12.6630 | − | 21.9329i | 0.439803 | − | 0.761761i | −0.557871 | − | 0.829928i | \(-0.688382\pi\) |
0.997674 | + | 0.0681664i | \(0.0217149\pi\) | |||||||
\(830\) | −8.91534 | − | 15.4418i | −0.309456 | − | 0.535994i | ||||
\(831\) | 10.5876 | + | 29.0893i | 0.367281 | + | 1.00910i | ||||
\(832\) | −8.49454 | − | 14.7130i | −0.294495 | − | 0.510080i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.19517 | − | 8.77864i | −0.110640 | − | 0.303980i | ||||
\(835\) | −31.2344 | −1.08091 | ||||||||
\(836\) | 3.27079 | − | 5.66518i | 0.113123 | − | 0.195934i | ||||
\(837\) | 41.5549 | + | 23.9917i | 1.43635 | + | 0.829276i | ||||
\(838\) | −0.0770768 | − | 0.133501i | −0.00266257 | − | 0.00461171i | ||||
\(839\) | 4.35710 | − | 7.54671i | 0.150424 | − | 0.260541i | −0.780960 | − | 0.624582i | \(-0.785270\pi\) |
0.931383 | + | 0.364040i | \(0.118603\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.14749 | − | 8.91571i | −0.177500 | − | 0.307438i | ||||
\(842\) | −10.8626 | + | 18.8146i | −0.374350 | + | 0.648394i | ||||
\(843\) | 24.8391 | − | 29.6021i | 0.855506 | − | 1.01955i | ||||
\(844\) | 3.57145 | + | 6.18594i | 0.122934 | + | 0.212929i | ||||
\(845\) | −1.10876 | − | 1.92042i | −0.0381423 | − | 0.0660645i | ||||
\(846\) | 23.1917 | + | 8.44107i | 0.797346 | + | 0.290210i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.0120217 | + | 0.0208222i | −0.000412827 | + | 0.000715037i | ||||
\(849\) | −31.7173 | − | 5.59262i | −1.08854 | − | 0.191938i | ||||
\(850\) | −1.31046 | −0.0449484 | ||||||||
\(851\) | 82.5886 | 2.83110 | ||||||||
\(852\) | −1.15998 | − | 0.204535i | −0.0397402 | − | 0.00700727i | ||||
\(853\) | −5.99067 | + | 10.3761i | −0.205117 | + | 0.355272i | −0.950170 | − | 0.311733i | \(-0.899091\pi\) |
0.745053 | + | 0.667005i | \(0.232424\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −12.2554 | − | 4.46059i | −0.419125 | − | 0.152549i | ||||
\(856\) | −10.1133 | − | 17.5168i | −0.345667 | − | 0.598713i | ||||
\(857\) | 3.25015 | + | 5.62943i | 0.111023 | + | 0.192298i | 0.916183 | − | 0.400760i | \(-0.131254\pi\) |
−0.805160 | + | 0.593058i | \(0.797921\pi\) | |||||||
\(858\) | −5.45229 | + | 6.49778i | −0.186138 | + | 0.221831i | ||||
\(859\) | −26.7763 | + | 46.3779i | −0.913596 | + | 1.58239i | −0.104652 | + | 0.994509i | \(0.533373\pi\) |
−0.808944 | + | 0.587886i | \(0.799960\pi\) | |||||||
\(860\) | 3.64543 | + | 6.31407i | 0.124308 | + | 0.215308i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.8914 | + | 22.3286i | −0.439083 | + | 0.760514i | ||||
\(863\) | −1.84982 | − | 3.20399i | −0.0629687 | − | 0.109065i | 0.832822 | − | 0.553540i | \(-0.186723\pi\) |
−0.895791 | + | 0.444475i | \(0.853390\pi\) | |||||||
\(864\) | 25.3717 | + | 14.6484i | 0.863163 | + | 0.498347i | ||||
\(865\) | 3.20115 | − | 5.54456i | 0.108842 | − | 0.188521i | ||||
\(866\) | 17.2847 | 0.587357 | ||||||||
\(867\) | −9.94104 | − | 27.3128i | −0.337615 | − | 0.927590i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.98633 | + | 3.44042i | 0.0673816 | + | 0.116708i | ||||
\(870\) | 4.39970 | + | 12.0881i | 0.149164 | + | 0.409824i | ||||
\(871\) | −1.00459 | − | 1.73999i | −0.0340391 | − | 0.0589574i | ||||
\(872\) | −0.572796 | + | 0.992112i | −0.0193973 | + | 0.0335971i | ||||
\(873\) | −4.36412 | + | 3.66193i | −0.147703 | + | 0.123938i | ||||
\(874\) | −25.3773 | −0.858401 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.79921 | − | 3.33597i | 0.0945765 | − | 0.112712i | ||||
\(877\) | 5.89440 | − | 10.2094i | 0.199040 | − | 0.344747i | −0.749178 | − | 0.662369i | \(-0.769551\pi\) |
0.948217 | + | 0.317622i | \(0.102884\pi\) | |||||||
\(878\) | −19.2849 | −0.650833 | ||||||||
\(879\) | −7.75537 | − | 21.3077i | −0.261582 | − | 0.718691i | ||||
\(880\) | 0.0932736 | 0.00314425 | ||||||||
\(881\) | −49.4858 | −1.66722 | −0.833609 | − | 0.552355i | \(-0.813729\pi\) | ||||
−0.833609 | + | 0.552355i | \(0.813729\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −21.5357 | −0.724734 | −0.362367 | − | 0.932035i | \(-0.618031\pi\) | ||||
−0.362367 | + | 0.932035i | \(0.618031\pi\) | |||||||
\(884\) | 1.93407 | 0.0650497 | ||||||||
\(885\) | −15.5954 | + | 18.5859i | −0.524233 | + | 0.624757i | ||||
\(886\) | 16.4534 | 0.552762 | ||||||||
\(887\) | 5.94238 | − | 10.2925i | 0.199526 | − | 0.345589i | −0.748849 | − | 0.662741i | \(-0.769393\pi\) |
0.948375 | + | 0.317152i | \(0.102727\pi\) | |||||||
\(888\) | 15.5223 | + | 42.6473i | 0.520896 | + | 1.43115i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.7656 | −0.360863 | ||||||||
\(891\) | 2.58290 | − | 14.6484i | 0.0865304 | − | 0.490738i | ||||
\(892\) | −4.34477 | + | 7.52536i | −0.145474 | + | 0.251968i | ||||
\(893\) | 15.0929 | + | 26.1416i | 0.505063 | + | 0.874795i | ||||
\(894\) | −0.422046 | + | 0.502975i | −0.0141153 | + | 0.0168220i | ||||
\(895\) | −5.74763 | − | 9.95518i | −0.192122 | − | 0.332765i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −51.4043 | − | 9.06396i | −1.71634 | − | 0.302637i | ||||
\(898\) | −5.87433 | −0.196029 | ||||||||
\(899\) | 28.9433 | − | 50.1313i | 0.965314 | − | 1.67197i | ||||
\(900\) | −2.03519 | − | 11.5421i | −0.0678396 | − | 0.384737i | ||||
\(901\) | −0.134285 | − | 0.232589i | −0.00447369 | − | 0.00774866i | ||||
\(902\) | −2.47906 | + | 4.29385i | −0.0825435 | + | 0.142970i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.3868 | − | 35.3110i | −0.678056 | − | 1.17443i | ||||
\(905\) | 11.6099 | − | 20.1090i | 0.385927 | − | 0.668446i | ||||
\(906\) | 1.28705 | + | 3.53613i | 0.0427592 | + | 0.117480i | ||||
\(907\) | 13.0107 | + | 22.5353i | 0.432014 | + | 0.748271i | 0.997047 | − | 0.0767980i | \(-0.0244697\pi\) |
−0.565032 | + | 0.825069i | \(0.691136\pi\) | |||||||
\(908\) | 7.32547 | + | 12.6881i | 0.243104 | + | 0.421069i | ||||
\(909\) | −0.890367 | − | 5.04952i | −0.0295316 | − | 0.167482i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.01636 | − | 3.49244i | 0.0668050 | − | 0.115710i | −0.830688 | − | 0.556738i | \(-0.812053\pi\) |
0.897493 | + | 0.441028i | \(0.145386\pi\) | |||||||
\(912\) | −0.0800699 | − | 0.219990i | −0.00265138 | − | 0.00728460i | ||||
\(913\) | 24.8726 | 0.823162 | ||||||||
\(914\) | 17.0853 | 0.565132 | ||||||||
\(915\) | 11.4572 | − | 13.6542i | 0.378764 | − | 0.451394i | ||||
\(916\) | 10.7657 | − | 18.6468i | 0.355710 | − | 0.616108i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 1.85163 | − | 1.06904i | 0.0611130 | − | 0.0352836i | ||||
\(919\) | −13.7135 | − | 23.7524i | −0.452366 | − | 0.783521i | 0.546167 | − | 0.837677i | \(-0.316087\pi\) |
−0.998532 | + | 0.0541559i | \(0.982753\pi\) | |||||||
\(920\) | 17.0954 | + | 29.6101i | 0.563618 | + | 0.976216i | ||||
\(921\) | 10.7640 | + | 1.89798i | 0.354685 | + | 0.0625406i | ||||
\(922\) | 0.424678 | − | 0.735564i | 0.0139860 | − | 0.0242245i | ||||
\(923\) | 0.934011 | + | 1.61775i | 0.0307434 | + | 0.0532491i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.7049 | − | 25.4696i | 0.483493 | − | 0.837434i | ||||
\(926\) | −0.195937 | − | 0.339373i | −0.00643889 | − | 0.0111525i | ||||
\(927\) | −8.36097 | + | 7.01568i | −0.274610 | + | 0.230425i | ||||
\(928\) | 17.6716 | − | 30.6081i | 0.580098 | − | 1.00476i | ||||
\(929\) | −7.67675 | −0.251866 | −0.125933 | − | 0.992039i | \(-0.540192\pi\) | ||||
−0.125933 | + | 0.992039i | \(0.540192\pi\) | |||||||
\(930\) | −12.1809 | + | 14.5167i | −0.399428 | + | 0.476020i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 9.96926 | + | 17.2673i | 0.326554 | + | 0.565608i | ||||
\(933\) | −16.2460 | − | 2.86461i | −0.531871 | − | 0.0937833i | ||||
\(934\) | 15.0440 | + | 26.0570i | 0.492255 | + | 0.852610i | ||||
\(935\) | −0.520945 | + | 0.902302i | −0.0170367 | + | 0.0295084i | ||||
\(936\) | −4.98085 | − | 28.2478i | −0.162804 | − | 0.923308i | ||||
\(937\) | 2.02465 | 0.0661425 | 0.0330713 | − | 0.999453i | \(-0.489471\pi\) | ||||
0.0330713 | + | 0.999453i | \(0.489471\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −30.0699 | − | 5.30213i | −0.981293 | − | 0.173028i | ||||
\(940\) | 7.73055 | − | 13.3897i | 0.252143 | − | 0.436724i | ||||
\(941\) | 6.13928 | 0.200135 | 0.100067 | − | 0.994981i | \(-0.468094\pi\) | ||||
0.100067 | + | 0.994981i | \(0.468094\pi\) | |||||||
\(942\) | −15.2001 | − | 2.68019i | −0.495246 | − | 0.0873253i | ||||
\(943\) | −30.5107 | −0.993566 | ||||||||
\(944\) | −0.435518 | −0.0141749 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.41147 | 0.208455 | ||||||||
\(947\) | 5.56448 | 0.180821 | 0.0904107 | − | 0.995905i | \(-0.471182\pi\) | ||||
0.0904107 | + | 0.995905i | \(0.471182\pi\) | |||||||
\(948\) | −5.02956 | − | 0.886848i | −0.163353 | − | 0.0288035i | ||||
\(949\) | −6.90640 | −0.224191 | ||||||||
\(950\) | −4.51842 | + | 7.82613i | −0.146597 | + | 0.253913i | ||||
\(951\) | −13.7772 | − | 2.42929i | −0.446756 | − | 0.0787751i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −8.72018 | −0.282474 | −0.141237 | − | 0.989976i | \(-0.545108\pi\) | ||||
−0.141237 | + | 0.989976i | \(0.545108\pi\) | |||||||
\(954\) | −1.15998 | + | 0.973337i | −0.0375557 | + | 0.0315129i | ||||
\(955\) | 8.69640 | − | 15.0626i | 0.281409 | − | 0.487415i | ||||
\(956\) | −9.26099 | − | 16.0405i | −0.299522 | − | 0.518787i | ||||
\(957\) | −17.6716 | − | 3.11598i | −0.571241 | − | 0.100725i | ||||
\(958\) | 9.58219 | + | 16.5968i | 0.309586 | + | 0.536219i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −7.56283 | + | 9.01303i | −0.244089 | + | 0.290894i | ||||
\(961\) | 54.2746 | 1.75079 | ||||||||
\(962\) | 13.6816 | − | 23.6971i | 0.441111 | − | 0.764027i | ||||
\(963\) | −3.71348 | − | 21.0602i | −0.119665 | − | 0.678655i | ||||
\(964\) | 9.59152 | + | 16.6130i | 0.308922 | + | 0.535069i | ||||
\(965\) | −0.429892 | + | 0.744596i | −0.0138387 | + | 0.0239694i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.8849 | + | 50.0301i | 0.928876 | + | 1.60886i | 0.785206 | + | 0.619235i | \(0.212557\pi\) |
0.143670 | + | 0.989626i | \(0.454110\pi\) | |||||||
\(968\) | 11.7310 | − | 20.3187i | 0.377049 | − | 0.653068i | ||||
\(969\) | 2.57532 | + | 0.454099i | 0.0827313 | + | 0.0145878i | ||||
\(970\) | −1.12495 | − | 1.94847i | −0.0361200 | − | 0.0625617i | ||||
\(971\) | −15.3596 | − | 26.6036i | −0.492914 | − | 0.853752i | 0.507053 | − | 0.861915i | \(-0.330735\pi\) |
−0.999967 | + | 0.00816326i | \(0.997402\pi\) | |||||||
\(972\) | 12.2914 | + | 14.6484i | 0.394248 | + | 0.469846i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 8.52687 | − | 14.7690i | 0.273219 | − | 0.473229i | ||||
\(975\) | −11.9477 | + | 14.2388i | −0.382634 | + | 0.456005i | ||||
\(976\) | 0.319955 | 0.0102415 | ||||||||
\(977\) | 10.3000 | 0.329527 | 0.164764 | − | 0.986333i | \(-0.447314\pi\) | ||||
0.164764 | + | 0.986333i | \(0.447314\pi\) | |||||||
\(978\) | 1.35251 | + | 3.71599i | 0.0432485 | + | 0.118824i | ||||
\(979\) | 7.50862 | − | 13.0053i | 0.239976 | − | 0.415651i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.927833 | + | 0.778544i | −0.0296234 | + | 0.0248570i | ||||
\(982\) | 11.5009 | + | 19.9201i | 0.367008 | + | 0.635676i | ||||
\(983\) | 6.84817 | + | 11.8614i | 0.218423 | + | 0.378319i | 0.954326 | − | 0.298767i | \(-0.0965755\pi\) |
−0.735903 | + | 0.677087i | \(0.763242\pi\) | |||||||
\(984\) | −5.73442 | − | 15.7552i | −0.182807 | − | 0.502257i | ||||
\(985\) | 7.71032 | − | 13.3547i | 0.245671 | − | 0.425515i | ||||
\(986\) | −1.28968 | − | 2.23379i | −0.0410717 | − | 0.0711383i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.66860 | − | 11.5503i | 0.212156 | − | 0.367465i | ||||
\(989\) | 19.7271 | + | 34.1684i | 0.627287 | + | 1.08649i | ||||
\(990\) | 5.52007 | + | 2.00914i | 0.175439 | + | 0.0638547i | ||||
\(991\) | −28.9907 | + | 50.2133i | −0.920919 | + | 1.59508i | −0.122922 | + | 0.992416i | \(0.539227\pi\) |
−0.797997 | + | 0.602662i | \(0.794107\pi\) | |||||||
\(992\) | 52.0651 | 1.65307 | ||||||||
\(993\) | −39.3166 | − | 6.93258i | −1.24767 | − | 0.219999i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.45084 | + | 4.24497i | 0.0776968 | + | 0.134575i | ||||
\(996\) | −20.5535 | + | 24.4947i | −0.651263 | + | 0.776145i | ||||
\(997\) | 8.10876 | + | 14.0448i | 0.256807 | + | 0.444803i | 0.965385 | − | 0.260830i | \(-0.0839962\pi\) |
−0.708578 | + | 0.705633i | \(0.750663\pi\) | |||||||
\(998\) | −6.28817 | + | 10.8914i | −0.199049 | + | 0.344762i | ||||
\(999\) | 47.9835i | 1.51813i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))