Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} - x^{6} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 163.2 | ||
Root | \(0.342020 - 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.q.568.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.20805 | − | 0.439693i | 0.854217 | − | 0.310910i | 0.122459 | − | 0.992474i | \(-0.460922\pi\) |
0.731759 | + | 0.681564i | \(0.238700\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.266044 | + | 0.223238i | −0.133022 | + | 0.111619i | ||||
\(5\) | −0.0775297 | − | 0.439693i | −0.0346723 | − | 0.196637i | 0.962552 | − | 0.271099i | \(-0.0873870\pi\) |
−0.997224 | + | 0.0744624i | \(0.976276\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.70574 | − | 2.27038i | −1.02267 | − | 0.858124i | −0.0327115 | − | 0.999465i | \(-0.510414\pi\) |
−0.989961 | + | 0.141341i | \(0.954859\pi\) | |||||||
\(8\) | −1.50881 | + | 2.61334i | −0.533446 | + | 0.923956i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.286989 | − | 0.497079i | −0.0907539 | − | 0.157190i | ||||
\(11\) | 0.482753 | − | 2.73783i | 0.145555 | − | 0.825486i | −0.821364 | − | 0.570404i | \(-0.806787\pi\) |
0.966920 | − | 0.255081i | \(-0.0821023\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.09240 | − | 1.12554i | −0.857676 | − | 0.312169i | −0.124510 | − | 0.992218i | \(-0.539736\pi\) |
−0.733166 | + | 0.680050i | \(0.761958\pi\) | |||||||
\(14\) | −4.26692 | − | 1.55303i | −1.14038 | − | 0.415066i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.553033 | + | 3.13641i | −0.138258 | + | 0.784102i | ||||
\(17\) | −3.51968 | − | 6.09627i | −0.853648 | − | 1.47856i | −0.877894 | − | 0.478856i | \(-0.841052\pi\) |
0.0242455 | − | 0.999706i | \(-0.492282\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.59240 | − | 4.49016i | 0.594736 | − | 1.03011i | −0.398848 | − | 0.917017i | \(-0.630590\pi\) |
0.993584 | − | 0.113097i | \(-0.0360769\pi\) | |||||||
\(20\) | 0.118782 | + | 0.0996702i | 0.0265605 | + | 0.0222869i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.620615 | − | 3.51968i | −0.132316 | − | 0.750399i | ||||
\(23\) | −5.57445 | + | 4.67752i | −1.16235 | + | 0.975330i | −0.999935 | − | 0.0113920i | \(-0.996374\pi\) |
−0.162418 | + | 0.986722i | \(0.551929\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.51114 | − | 1.64192i | 0.902229 | − | 0.328384i | ||||
\(26\) | −4.23065 | −0.829698 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.22668 | 0.231821 | ||||||||
\(29\) | 3.40090 | − | 1.23783i | 0.631531 | − | 0.229859i | −0.00636650 | − | 0.999980i | \(-0.502027\pi\) |
0.637898 | + | 0.770121i | \(0.279804\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.48293 | + | 1.24432i | −0.266341 | + | 0.223487i | −0.766171 | − | 0.642637i | \(-0.777840\pi\) |
0.499830 | + | 0.866124i | \(0.333396\pi\) | |||||||
\(32\) | −0.337044 | − | 1.91147i | −0.0595816 | − | 0.337904i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.93242 | − | 5.81699i | −1.18890 | − | 0.997606i | ||||
\(35\) | −0.788496 | + | 1.36571i | −0.133280 | + | 0.230848i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.61334 | + | 2.79439i | 0.265232 | + | 0.459395i | 0.967624 | − | 0.252395i | \(-0.0812183\pi\) |
−0.702393 | + | 0.711790i | \(0.747885\pi\) | |||||||
\(38\) | 1.15744 | − | 6.56418i | 0.187762 | − | 1.06485i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.26604 | + | 0.460802i | 0.200179 | + | 0.0728593i | ||||
\(41\) | −4.56769 | − | 1.66250i | −0.713354 | − | 0.259639i | −0.0402521 | − | 0.999190i | \(-0.512816\pi\) |
−0.673102 | + | 0.739550i | \(0.735038\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.00000 | + | 5.67128i | −0.152499 | + | 0.864862i | 0.808539 | + | 0.588443i | \(0.200259\pi\) |
−0.961037 | + | 0.276419i | \(0.910852\pi\) | |||||||
\(44\) | 0.482753 | + | 0.836152i | 0.0727777 | + | 0.126055i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.67752 | + | 8.10170i | −0.689662 | + | 1.19453i | ||||
\(47\) | −2.31164 | − | 1.93969i | −0.337187 | − | 0.282933i | 0.458434 | − | 0.888729i | \(-0.348411\pi\) |
−0.795621 | + | 0.605795i | \(0.792855\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.950837 | + | 5.39246i | 0.135834 | + | 0.770352i | ||||
\(50\) | 4.72773 | − | 3.96703i | 0.668602 | − | 0.561023i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.07398 | − | 0.390896i | 0.148934 | − | 0.0542075i | ||||
\(53\) | −8.77141 | −1.20485 | −0.602423 | − | 0.798177i | \(-0.705798\pi\) | ||||
−0.602423 | + | 0.798177i | \(0.705798\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.24123 | −0.167367 | ||||||||
\(56\) | 10.0157 | − | 3.64543i | 1.33841 | − | 0.487141i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.56418 | − | 2.99070i | 0.467999 | − | 0.392698i | ||||
\(59\) | −0.514654 | − | 2.91875i | −0.0670022 | − | 0.379989i | −0.999808 | − | 0.0196084i | \(-0.993758\pi\) |
0.932805 | − | 0.360380i | \(-0.117353\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.04189 | + | 5.06975i | 0.773585 | + | 0.649115i | 0.941624 | − | 0.336666i | \(-0.109299\pi\) |
−0.168040 | + | 0.985780i | \(0.553744\pi\) | |||||||
\(62\) | −1.24432 | + | 2.15523i | −0.158029 | + | 0.273714i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.43242 | − | 7.67717i | −0.554052 | − | 0.959647i | ||||
\(65\) | −0.255139 | + | 1.44697i | −0.0316461 | + | 0.179474i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.86959 | + | 3.22826i | 1.08359 | + | 0.394395i | 0.821244 | − | 0.570578i | \(-0.193281\pi\) |
0.262349 | + | 0.964973i | \(0.415503\pi\) | |||||||
\(68\) | 2.29731 | + | 0.836152i | 0.278590 | + | 0.101398i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.352044 | + | 1.99654i | −0.0420773 | + | 0.238632i | ||||
\(71\) | 2.65366 | + | 4.59627i | 0.314931 | + | 0.545476i | 0.979423 | − | 0.201819i | \(-0.0646853\pi\) |
−0.664492 | + | 0.747296i | \(0.731352\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.777189 | − | 1.34613i | 0.0909631 | − | 0.157553i | −0.816954 | − | 0.576703i | \(-0.804339\pi\) |
0.907917 | + | 0.419151i | \(0.137672\pi\) | |||||||
\(74\) | 3.17766 | + | 2.66637i | 0.369396 | + | 0.309960i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.312681 | + | 1.77330i | 0.0358670 | + | 0.203412i | ||||
\(77\) | −7.52211 | + | 6.31180i | −0.857225 | + | 0.719297i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.1839 | − | 4.07061i | 1.25829 | − | 0.457980i | 0.375094 | − | 0.926987i | \(-0.377610\pi\) |
0.883194 | + | 0.469007i | \(0.155388\pi\) | |||||||
\(80\) | 1.42193 | 0.158977 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.24897 | −0.690083 | ||||||||
\(83\) | −15.2768 | + | 5.56031i | −1.67685 | + | 0.610323i | −0.992873 | − | 0.119181i | \(-0.961973\pi\) |
−0.683976 | + | 0.729504i | \(0.739751\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.40760 | + | 2.02022i | −0.261141 | + | 0.219124i | ||||
\(86\) | 1.28558 | + | 7.29086i | 0.138627 | + | 0.786194i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.42649 | + | 5.39246i | 0.685066 | + | 0.574839i | ||||
\(89\) | 9.21291 | − | 15.9572i | 0.976567 | − | 1.69146i | 0.301902 | − | 0.953339i | \(-0.402378\pi\) |
0.674665 | − | 0.738125i | \(-0.264288\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.81180 | + | 10.0663i | 0.609243 | + | 1.05524i | ||||
\(92\) | 0.438852 | − | 2.48886i | 0.0457535 | − | 0.259481i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.64543 | − | 1.32683i | −0.375997 | − | 0.136852i | ||||
\(95\) | −2.17528 | − | 0.791737i | −0.223179 | − | 0.0812305i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.75624 | − | 9.96016i | 0.178320 | − | 1.01130i | −0.755922 | − | 0.654661i | \(-0.772811\pi\) |
0.934242 | − | 0.356640i | \(-0.116078\pi\) | |||||||
\(98\) | 3.51968 | + | 6.09627i | 0.355541 | + | 0.615816i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.833626 | + | 1.44388i | −0.0833626 | + | 0.144388i | ||||
\(101\) | 1.59397 | + | 1.33750i | 0.158606 | + | 0.133086i | 0.718637 | − | 0.695386i | \(-0.244766\pi\) |
−0.560031 | + | 0.828472i | \(0.689211\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.251497 | − | 1.42631i | −0.0247807 | − | 0.140538i | 0.969907 | − | 0.243475i | \(-0.0782873\pi\) |
−0.994688 | + | 0.102936i | \(0.967176\pi\) | |||||||
\(104\) | 7.60727 | − | 6.38326i | 0.745954 | − | 0.625930i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.5963 | + | 3.85673i | −1.02920 | + | 0.374598i | ||||
\(107\) | 2.23583 | 0.216146 | 0.108073 | − | 0.994143i | \(-0.465532\pi\) | ||||
0.108073 | + | 0.994143i | \(0.465532\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.5030 | −1.10179 | −0.550893 | − | 0.834576i | \(-0.685713\pi\) | ||||
−0.550893 | + | 0.834576i | \(0.685713\pi\) | |||||||
\(110\) | −1.49946 | + | 0.545759i | −0.142968 | + | 0.0520361i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.61721 | − | 7.23070i | 0.814250 | − | 0.683237i | ||||
\(113\) | −0.293144 | − | 1.66250i | −0.0275767 | − | 0.156395i | 0.967910 | − | 0.251297i | \(-0.0808572\pi\) |
−0.995487 | + | 0.0949023i | \(0.969746\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.48886 | + | 2.08840i | 0.232087 | + | 0.194744i | ||||
\(116\) | −0.628461 | + | 1.08853i | −0.0583511 | + | 0.101067i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.90508 | − | 3.29969i | −0.175377 | − | 0.303761i | ||||
\(119\) | −4.31753 | + | 24.4859i | −0.395787 | + | 2.24462i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.07398 | + | 1.11884i | 0.279453 | + | 0.101712i | ||||
\(122\) | 9.52801 | + | 3.46791i | 0.862625 | + | 0.313970i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.116744 | − | 0.662090i | 0.0104840 | − | 0.0594575i | ||||
\(125\) | −2.18788 | − | 3.78952i | −0.195690 | − | 0.338945i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.33615 | − | 2.31428i | 0.118564 | − | 0.205359i | −0.800635 | − | 0.599153i | \(-0.795504\pi\) |
0.919199 | + | 0.393793i | \(0.128837\pi\) | |||||||
\(128\) | −5.75643 | − | 4.83022i | −0.508802 | − | 0.426935i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.328001 | + | 1.86018i | 0.0287676 | + | 0.163149i | ||||
\(131\) | 2.23675 | − | 1.87686i | 0.195426 | − | 0.163982i | −0.539824 | − | 0.841778i | \(-0.681509\pi\) |
0.735250 | + | 0.677796i | \(0.237065\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −17.2087 | + | 6.26347i | −1.49219 | + | 0.543111i | ||||
\(134\) | 12.1343 | 1.04824 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 21.2422 | 1.82150 | ||||||||
\(137\) | −4.37636 | + | 1.59286i | −0.373897 | + | 0.136087i | −0.522132 | − | 0.852865i | \(-0.674863\pi\) |
0.148235 | + | 0.988952i | \(0.452641\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.13041 | + | 5.14403i | −0.519975 | + | 0.436311i | −0.864623 | − | 0.502421i | \(-0.832443\pi\) |
0.344648 | + | 0.938732i | \(0.387998\pi\) | |||||||
\(140\) | −0.0951042 | − | 0.539363i | −0.00803777 | − | 0.0455845i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.22668 | + | 4.38571i | 0.438613 | + | 0.368040i | ||||
\(143\) | −4.57440 | + | 7.92309i | −0.382530 | + | 0.662562i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.807934 | − | 1.39938i | −0.0670952 | − | 0.116212i | ||||
\(146\) | 0.346996 | − | 1.96791i | 0.0287176 | − | 0.162865i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.05303 | − | 0.383273i | −0.0865588 | − | 0.0315048i | ||||
\(149\) | 18.9928 | + | 6.91282i | 1.55595 | + | 0.566320i | 0.969804 | − | 0.243884i | \(-0.0784217\pi\) |
0.586147 | + | 0.810204i | \(0.300644\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.16385 | − | 6.60051i | 0.0947126 | − | 0.537142i | −0.900122 | − | 0.435637i | \(-0.856523\pi\) |
0.994835 | − | 0.101505i | \(-0.0323657\pi\) | |||||||
\(152\) | 7.82288 | + | 13.5496i | 0.634520 | + | 1.09902i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.31180 | + | 10.9324i | −0.508620 | + | 0.880955i | ||||
\(155\) | 0.662090 | + | 0.555560i | 0.0531804 | + | 0.0446236i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.924678 | + | 5.24411i | 0.0737973 | + | 0.418525i | 0.999216 | + | 0.0395801i | \(0.0126020\pi\) |
−0.925419 | + | 0.378945i | \(0.876287\pi\) | |||||||
\(158\) | 11.7209 | − | 9.83497i | 0.932462 | − | 0.782428i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.814330 | + | 0.296392i | −0.0643784 | + | 0.0234318i | ||||
\(161\) | 25.7028 | 2.02566 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.81521 | 0.298830 | 0.149415 | − | 0.988775i | \(-0.452261\pi\) | ||||
0.149415 | + | 0.988775i | \(0.452261\pi\) | |||||||
\(164\) | 1.58634 | − | 0.577382i | 0.123873 | − | 0.0450859i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.0103 | + | 13.4342i | −1.24264 | + | 1.04270i | ||||
\(167\) | 1.58634 | + | 8.99660i | 0.122755 | + | 0.696178i | 0.982616 | + | 0.185650i | \(0.0594389\pi\) |
−0.859861 | + | 0.510528i | \(0.829450\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.66250 | − | 1.39501i | −0.127885 | − | 0.107308i | ||||
\(170\) | −2.02022 | + | 3.49912i | −0.154944 | + | 0.268370i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | − | 1.73205i | −0.0762493 | − | 0.132068i | ||||
\(173\) | 1.05471 | − | 5.98158i | 0.0801884 | − | 0.454771i | −0.918103 | − | 0.396342i | \(-0.870280\pi\) |
0.998292 | − | 0.0584296i | \(-0.0186093\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.9338 | − | 5.79942i | −1.20448 | − | 0.438395i | ||||
\(176\) | 8.31996 | + | 3.02822i | 0.627141 | + | 0.228261i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.11334 | − | 23.3279i | 0.308308 | − | 1.74850i | ||||
\(179\) | −5.14057 | − | 8.90373i | −0.384224 | − | 0.665496i | 0.607437 | − | 0.794368i | \(-0.292198\pi\) |
−0.991661 | + | 0.128872i | \(0.958864\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.5706 | − | 20.0408i | 0.860034 | − | 1.48962i | −0.0118609 | − | 0.999930i | \(-0.503776\pi\) |
0.871895 | − | 0.489693i | \(-0.162891\pi\) | |||||||
\(182\) | 11.4470 | + | 9.60519i | 0.848510 | + | 0.711984i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.81315 | − | 21.6254i | −0.281109 | − | 1.59425i | ||||
\(185\) | 1.10359 | − | 0.926022i | 0.0811376 | − | 0.0680825i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.3897 | + | 6.69329i | −1.34478 | + | 0.489462i | ||||
\(188\) | 1.04801 | 0.0764340 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.97596 | −0.215899 | ||||||||
\(191\) | −13.7856 | + | 5.01754i | −0.997490 | + | 0.363057i | −0.788616 | − | 0.614886i | \(-0.789202\pi\) |
−0.208874 | + | 0.977943i | \(0.566980\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 17.9572 | − | 15.0679i | 1.29259 | − | 1.08461i | 0.301215 | − | 0.953556i | \(-0.402608\pi\) |
0.991375 | − | 0.131055i | \(-0.0418366\pi\) | |||||||
\(194\) | −2.25778 | − | 12.8045i | −0.162099 | − | 0.919312i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.45677 | − | 1.22237i | −0.104055 | − | 0.0873123i | ||||
\(197\) | 4.51384 | − | 7.81820i | 0.321598 | − | 0.557024i | −0.659220 | − | 0.751950i | \(-0.729113\pi\) |
0.980818 | + | 0.194926i | \(0.0624468\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.30200 | − | 2.25514i | −0.0922966 | − | 0.159862i | 0.816181 | − | 0.577797i | \(-0.196087\pi\) |
−0.908477 | + | 0.417935i | \(0.862754\pi\) | |||||||
\(200\) | −2.51557 | + | 14.2665i | −0.177878 | + | 1.00879i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.51367 | + | 0.914901i | 0.176861 | + | 0.0643722i | ||||
\(203\) | −12.0123 | − | 4.37211i | −0.843097 | − | 0.306862i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.376859 | + | 2.13727i | −0.0263210 | + | 0.149274i | ||||
\(206\) | −0.930956 | − | 1.61246i | −0.0648628 | − | 0.112346i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.24035 | − | 9.07656i | 0.363353 | − | 0.629346i | ||||
\(209\) | −11.0418 | − | 9.26517i | −0.763777 | − | 0.640885i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.84002 | − | 16.1066i | −0.195515 | − | 1.10882i | −0.911683 | − | 0.410894i | \(-0.865217\pi\) |
0.716168 | − | 0.697928i | \(-0.245894\pi\) | |||||||
\(212\) | 2.33359 | − | 1.95811i | 0.160271 | − | 0.134484i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.70099 | − | 0.983080i | 0.184636 | − | 0.0672019i | ||||
\(215\) | 2.57115 | 0.175351 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.83750 | 0.464159 | ||||||||
\(218\) | −13.8961 | + | 5.05778i | −0.941165 | + | 0.342556i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.330222 | − | 0.277089i | 0.0222636 | − | 0.0186814i | ||||
\(221\) | 4.02266 | + | 22.8136i | 0.270593 | + | 1.53461i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.83615 | + | 2.37981i | 0.189923 | + | 0.159364i | 0.732791 | − | 0.680454i | \(-0.238217\pi\) |
−0.542868 | + | 0.839818i | \(0.682662\pi\) | |||||||
\(224\) | −3.42782 | + | 5.93717i | −0.229031 | + | 0.396694i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.08512 | − | 1.87949i | −0.0721813 | − | 0.125022i | ||||
\(227\) | −1.83386 | + | 10.4003i | −0.121717 | + | 0.690294i | 0.861486 | + | 0.507781i | \(0.169534\pi\) |
−0.983203 | + | 0.182513i | \(0.941577\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.7096 | − | 4.62592i | −0.839875 | − | 0.305689i | −0.113969 | − | 0.993484i | \(-0.536357\pi\) |
−0.725905 | + | 0.687795i | \(0.758579\pi\) | |||||||
\(230\) | 3.92490 | + | 1.42855i | 0.258801 | + | 0.0941957i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.89646 | + | 10.7554i | −0.124509 | + | 0.706124i | ||||
\(233\) | −6.35035 | − | 10.9991i | −0.416025 | − | 0.720576i | 0.579510 | − | 0.814965i | \(-0.303244\pi\) |
−0.995535 | + | 0.0943883i | \(0.969910\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.673648 | + | 1.16679i | −0.0439440 | + | 0.0761132i | ||||
\(236\) | 0.788496 | + | 0.661626i | 0.0513267 | + | 0.0430682i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.55051 | + | 31.4785i | 0.359786 | + | 2.04045i | ||||
\(239\) | −4.48254 | + | 3.76130i | −0.289951 | + | 0.243298i | −0.776147 | − | 0.630552i | \(-0.782829\pi\) |
0.486196 | + | 0.873850i | \(0.338384\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.02481 | − | 2.92079i | 0.516924 | − | 0.188145i | −0.0703666 | − | 0.997521i | \(-0.522417\pi\) |
0.587290 | + | 0.809376i | \(0.300195\pi\) | |||||||
\(242\) | 4.20545 | 0.270337 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.73917 | −0.175357 | ||||||||
\(245\) | 2.29731 | − | 0.836152i | 0.146770 | − | 0.0534198i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.0706 | + | 10.9675i | −0.831661 | + | 0.697846i | ||||
\(248\) | −1.01438 | − | 5.75284i | −0.0644133 | − | 0.365306i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.30928 | − | 3.61591i | −0.272543 | − | 0.228690i | ||||
\(251\) | 3.37895 | − | 5.85251i | 0.213277 | − | 0.369407i | −0.739461 | − | 0.673199i | \(-0.764920\pi\) |
0.952738 | + | 0.303792i | \(0.0982529\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.1152 | + | 17.5200i | 0.635934 | + | 1.10147i | ||||
\(254\) | 0.596559 | − | 3.38326i | 0.0374315 | − | 0.212284i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.58260 | + | 2.75984i | 0.473912 | + | 0.172490i | ||||
\(257\) | −3.46085 | − | 1.25965i | −0.215882 | − | 0.0785747i | 0.231815 | − | 0.972760i | \(-0.425534\pi\) |
−0.447697 | + | 0.894185i | \(0.647756\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.97906 | − | 11.2238i | 0.122973 | − | 0.697412i | ||||
\(260\) | −0.255139 | − | 0.441914i | −0.0158231 | − | 0.0274064i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.87686 | − | 3.25082i | 0.115953 | − | 0.200836i | ||||
\(263\) | 2.78677 | + | 2.33837i | 0.171839 | + | 0.144190i | 0.724651 | − | 0.689116i | \(-0.242001\pi\) |
−0.552812 | + | 0.833306i | \(0.686445\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.680045 | + | 3.85673i | 0.0417748 | + | 0.236917i | ||||
\(266\) | −18.0349 | + | 15.1331i | −1.10579 | + | 0.927870i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.08037 | + | 1.12116i | −0.188164 | + | 0.0684860i | ||||
\(269\) | −7.08672 | −0.432085 | −0.216042 | − | 0.976384i | \(-0.569315\pi\) | ||||
−0.216042 | + | 0.976384i | \(0.569315\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | −1.15417 | −0.577084 | − | 0.816685i | \(-0.695809\pi\) | ||||
−0.577084 | + | 0.816685i | \(0.695809\pi\) | |||||||
\(272\) | 21.0669 | − | 7.66772i | 1.27737 | − | 0.464924i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.58647 | + | 3.84850i | −0.277079 | + | 0.232497i | ||||
\(275\) | −2.31753 | − | 13.1434i | −0.139752 | − | 0.792575i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.6420 | − | 8.92972i | −0.639417 | − | 0.536535i | 0.264422 | − | 0.964407i | \(-0.414819\pi\) |
−0.903839 | + | 0.427872i | \(0.859263\pi\) | |||||||
\(278\) | −5.14403 | + | 8.90972i | −0.308518 | + | 0.534369i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.37939 | − | 4.12122i | −0.142195 | − | 0.246290i | ||||
\(281\) | 3.84240 | − | 21.7913i | 0.229218 | − | 1.29996i | −0.625236 | − | 0.780435i | \(-0.714997\pi\) |
0.854455 | − | 0.519526i | \(-0.173891\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 22.3011 | + | 8.11695i | 1.32566 | + | 0.482502i | 0.905269 | − | 0.424839i | \(-0.139669\pi\) |
0.420395 | + | 0.907341i | \(0.361891\pi\) | |||||||
\(284\) | −1.73205 | − | 0.630415i | −0.102778 | − | 0.0374082i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.04236 | + | 11.5828i | −0.120767 | + | 0.684904i | ||||
\(287\) | 8.58445 | + | 14.8687i | 0.506724 | + | 0.877672i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.2763 | + | 28.1914i | −0.957430 | + | 1.65832i | ||||
\(290\) | −1.59132 | − | 1.33527i | −0.0934454 | − | 0.0784100i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.0937404 | + | 0.531628i | 0.00548574 | + | 0.0311112i | ||||
\(293\) | 14.2531 | − | 11.9598i | 0.832674 | − | 0.698697i | −0.123229 | − | 0.992378i | \(-0.539325\pi\) |
0.955903 | + | 0.293682i | \(0.0948805\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.24345 | + | 0.452579i | −0.0723965 | + | 0.0263502i | ||||
\(296\) | −9.73692 | −0.565947 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 25.9837 | 1.50520 | ||||||||
\(299\) | 22.5031 | − | 8.19047i | 1.30139 | − | 0.473667i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.5817 | − | 13.0746i | 0.898115 | − | 0.753608i | ||||
\(302\) | −1.49621 | − | 8.48545i | −0.0860974 | − | 0.488283i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 12.6493 | + | 10.6140i | 0.725487 | + | 0.608756i | ||||
\(305\) | 1.76070 | − | 3.04963i | 0.100818 | − | 0.174621i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.3735 | − | 17.9674i | −0.592044 | − | 1.02545i | −0.993957 | − | 0.109773i | \(-0.964988\pi\) |
0.401912 | − | 0.915678i | \(-0.368346\pi\) | |||||||
\(308\) | 0.592184 | − | 3.35844i | 0.0337428 | − | 0.191365i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.04411 | + | 0.380025i | 0.0593015 | + | 0.0215840i | ||||
\(311\) | −19.1561 | − | 6.97225i | −1.08624 | − | 0.395360i | −0.264015 | − | 0.964519i | \(-0.585047\pi\) |
−0.822228 | + | 0.569159i | \(0.807269\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.18180 | + | 29.3874i | −0.292893 | + | 1.66108i | 0.382753 | + | 0.923851i | \(0.374976\pi\) |
−0.675646 | + | 0.737226i | \(0.736135\pi\) | |||||||
\(314\) | 3.42285 | + | 5.92855i | 0.193163 | + | 0.334567i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.06670 | + | 3.57964i | −0.116261 | + | 0.201370i | ||||
\(317\) | 3.30671 | + | 2.77466i | 0.185724 | + | 0.155841i | 0.730909 | − | 0.682475i | \(-0.239096\pi\) |
−0.545186 | + | 0.838315i | \(0.683541\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.74716 | − | 9.90863i | −0.0978221 | − | 0.554777i | ||||
\(320\) | −3.03195 | + | 2.54411i | −0.169491 | + | 0.142220i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 31.0501 | − | 11.3013i | 1.73035 | − | 0.629797i | ||||
\(323\) | −36.4976 | −2.03078 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.7983 | −0.876332 | ||||||||
\(326\) | 4.60894 | − | 1.67752i | 0.255266 | − | 0.0929092i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 11.2365 | − | 9.42853i | 0.620431 | − | 0.520603i | ||||
\(329\) | 1.85083 | + | 10.4966i | 0.102040 | + | 0.578696i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.23601 | − | 1.87624i | −0.122902 | − | 0.103127i | 0.579265 | − | 0.815139i | \(-0.303340\pi\) |
−0.702167 | + | 0.712012i | \(0.747784\pi\) | |||||||
\(332\) | 2.82304 | − | 4.88965i | 0.154935 | − | 0.268355i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.87211 | + | 10.1708i | 0.321308 | + | 0.556521i | ||||
\(335\) | 0.731788 | − | 4.15018i | 0.0399819 | − | 0.226748i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.5706 | − | 4.93929i | −0.739236 | − | 0.269060i | −0.0551671 | − | 0.998477i | \(-0.517569\pi\) |
−0.684069 | + | 0.729417i | \(0.739791\pi\) | |||||||
\(338\) | −2.62175 | − | 0.954241i | −0.142605 | − | 0.0519038i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.189540 | − | 1.07494i | 0.0102793 | − | 0.0582966i | ||||
\(341\) | 2.69085 | + | 4.66069i | 0.145718 | + | 0.252391i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.69207 | + | 4.66280i | −0.145358 | + | 0.251767i | ||||
\(344\) | −13.3122 | − | 11.1702i | −0.717745 | − | 0.602259i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.35591 | − | 7.68977i | −0.0728944 | − | 0.413405i | ||||
\(347\) | −1.11386 | + | 0.934640i | −0.0597952 | + | 0.0501741i | −0.672195 | − | 0.740374i | \(-0.734649\pi\) |
0.612400 | + | 0.790548i | \(0.290204\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.9183 | − | 9.43350i | 1.38738 | − | 0.504964i | 0.462971 | − | 0.886374i | \(-0.346784\pi\) |
0.924406 | + | 0.381410i | \(0.124561\pi\) | |||||||
\(350\) | −21.7987 | −1.16519 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.39599 | −0.287607 | ||||||||
\(353\) | −9.89695 | + | 3.60220i | −0.526762 | + | 0.191726i | −0.591692 | − | 0.806164i | \(-0.701540\pi\) |
0.0649301 | + | 0.997890i | \(0.479318\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.81521 | − | 1.52314i | 0.0963412 | − | 0.0808399i | ||||
\(356\) | 1.11121 | + | 6.30200i | 0.0588942 | + | 0.334006i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.1250 | − | 8.49584i | −0.535120 | − | 0.449019i | ||||
\(359\) | −7.35273 | + | 12.7353i | −0.388062 | + | 0.672143i | −0.992189 | − | 0.124745i | \(-0.960189\pi\) |
0.604127 | + | 0.796888i | \(0.293522\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.94104 | − | 6.82608i | −0.207423 | − | 0.359267i | ||||
\(362\) | 5.16598 | − | 29.2977i | 0.271518 | − | 1.53985i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.79339 | − | 1.38068i | −0.198827 | − | 0.0723673i | ||||
\(365\) | −0.652139 | − | 0.237359i | −0.0341345 | − | 0.0124239i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.70961 | + | 21.0382i | −0.193640 | + | 1.09819i | 0.720702 | + | 0.693245i | \(0.243819\pi\) |
−0.914342 | + | 0.404942i | \(0.867292\pi\) | |||||||
\(368\) | −11.5878 | − | 20.0706i | −0.604053 | − | 1.04625i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.926022 | − | 1.60392i | 0.0481416 | − | 0.0833837i | ||||
\(371\) | 23.7331 | + | 19.9145i | 1.23216 | + | 1.03391i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.92871 | + | 22.2808i | 0.203421 | + | 1.15366i | 0.899905 | + | 0.436085i | \(0.143635\pi\) |
−0.696484 | + | 0.717572i | \(0.745253\pi\) | |||||||
\(374\) | −19.2725 | + | 16.1716i | −0.996560 | + | 0.836213i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.55690 | − | 3.11446i | 0.441289 | − | 0.160616i | ||||
\(377\) | −11.9101 | −0.613404 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.0743 | −0.877047 | −0.438523 | − | 0.898720i | \(-0.644498\pi\) | ||||
−0.438523 | + | 0.898720i | \(0.644498\pi\) | |||||||
\(380\) | 0.755466 | − | 0.274967i | 0.0387546 | − | 0.0141055i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.4474 | + | 12.1228i | −0.739195 | + | 0.620258i | ||||
\(383\) | −6.77082 | − | 38.3992i | −0.345973 | − | 1.96211i | −0.258891 | − | 0.965906i | \(-0.583357\pi\) |
−0.0870812 | − | 0.996201i | \(-0.527754\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.35844 | + | 2.81807i | 0.171162 | + | 0.143622i | ||||
\(386\) | 15.0679 | − | 26.0984i | 0.766936 | − | 1.32837i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.75624 | + | 3.04190i | 0.0891598 | + | 0.154429i | ||||
\(389\) | 1.77330 | − | 10.0569i | 0.0899101 | − | 0.509905i | −0.906279 | − | 0.422681i | \(-0.861089\pi\) |
0.996189 | − | 0.0872245i | \(-0.0277997\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 48.1357 | + | 17.5200i | 2.43433 | + | 0.886022i | ||||
\(392\) | −15.5270 | − | 5.65136i | −0.784231 | − | 0.285437i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.01532 | − | 11.4294i | 0.101530 | − | 0.575807i | ||||
\(395\) | −2.65690 | − | 4.60189i | −0.133683 | − | 0.231546i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.571452 | − | 0.989783i | 0.0286803 | − | 0.0496758i | −0.851329 | − | 0.524632i | \(-0.824203\pi\) |
0.880009 | + | 0.474956i | \(0.157536\pi\) | |||||||
\(398\) | −2.56445 | − | 2.15183i | −0.128544 | − | 0.107861i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.65493 | + | 15.0568i | 0.132746 | + | 0.752841i | ||||
\(401\) | −15.7452 | + | 13.2118i | −0.786280 | + | 0.659767i | −0.944822 | − | 0.327585i | \(-0.893765\pi\) |
0.158542 | + | 0.987352i | \(0.449321\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.98633 | − | 2.17885i | 0.298200 | − | 0.108536i | ||||
\(404\) | −0.722645 | −0.0359530 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.4338 | −0.815594 | ||||||||
\(407\) | 8.42939 | − | 3.06805i | 0.417830 | − | 0.152078i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.22668 | + | 5.22481i | −0.307890 | + | 0.258350i | −0.783619 | − | 0.621242i | \(-0.786629\pi\) |
0.475730 | + | 0.879592i | \(0.342184\pi\) | |||||||
\(410\) | 0.484481 | + | 2.74763i | 0.0239268 | + | 0.135696i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.385315 | + | 0.323318i | 0.0189831 | + | 0.0159287i | ||||
\(413\) | −5.23416 | + | 9.06583i | −0.257556 | + | 0.446100i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.62923 | + | 6.28602i | 0.178152 | + | 0.308568i | ||||
\(416\) | −1.10917 | + | 6.29039i | −0.0543813 | + | 0.308412i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −17.4128 | − | 6.33775i | −0.851689 | − | 0.309989i | ||||
\(419\) | −33.6207 | − | 12.2369i | −1.64248 | − | 0.597814i | −0.655010 | − | 0.755620i | \(-0.727336\pi\) |
−0.987470 | + | 0.157806i | \(0.949558\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.27807 | + | 12.9196i | −0.111026 | + | 0.629661i | 0.877615 | + | 0.479366i | \(0.159133\pi\) |
−0.988641 | + | 0.150295i | \(0.951978\pi\) | |||||||
\(422\) | −10.5128 | − | 18.2087i | −0.511756 | − | 0.886387i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.2344 | − | 22.9227i | 0.642720 | − | 1.11322i | ||||
\(425\) | −25.8874 | − | 21.7221i | −1.25572 | − | 1.05368i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.83750 | − | 27.4348i | −0.234103 | − | 1.32766i | ||||
\(428\) | −0.594831 | + | 0.499123i | −0.0287523 | + | 0.0241260i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.10607 | − | 1.13052i | 0.149788 | − | 0.0545183i | ||||
\(431\) | 9.48411 | 0.456833 | 0.228417 | − | 0.973563i | \(-0.426645\pi\) | ||||
0.228417 | + | 0.973563i | \(0.426645\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 17.6628 | 0.848820 | 0.424410 | − | 0.905470i | \(-0.360481\pi\) | ||||
0.424410 | + | 0.905470i | \(0.360481\pi\) | |||||||
\(434\) | 8.26001 | − | 3.00640i | 0.396493 | − | 0.144312i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.06031 | − | 2.56790i | 0.146562 | − | 0.122980i | ||||
\(437\) | 6.55163 | + | 37.1562i | 0.313407 | + | 1.77742i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.5326 | − | 11.3552i | −0.645874 | − | 0.541952i | 0.259942 | − | 0.965624i | \(-0.416297\pi\) |
−0.905816 | + | 0.423672i | \(0.860741\pi\) | |||||||
\(440\) | 1.87278 | − | 3.24376i | 0.0892814 | − | 0.154640i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 14.8905 | + | 25.7912i | 0.708270 | + | 1.22676i | ||||
\(443\) | −2.25606 | + | 12.7947i | −0.107188 | + | 0.607896i | 0.883135 | + | 0.469119i | \(0.155428\pi\) |
−0.990324 | + | 0.138777i | \(0.955683\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.73055 | − | 2.81369i | −0.366463 | − | 0.133382i | ||||
\(446\) | 4.47259 | + | 1.62789i | 0.211783 | + | 0.0770828i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.43717 | + | 30.8357i | −0.256882 | + | 1.45685i | ||||
\(449\) | 2.31428 | + | 4.00846i | 0.109218 | + | 0.189171i | 0.915454 | − | 0.402424i | \(-0.131832\pi\) |
−0.806236 | + | 0.591594i | \(0.798499\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.75671 | + | 11.7030i | −0.318161 | + | 0.551071i | ||||
\(452\) | 0.449123 | + | 0.376859i | 0.0211250 | + | 0.0177260i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.35756 | + | 13.3704i | 0.110646 | + | 0.627504i | ||||
\(455\) | 3.97551 | − | 3.33585i | 0.186375 | − | 0.156387i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.3268 | + | 7.03439i | −0.904070 | + | 0.329055i | −0.751883 | − | 0.659297i | \(-0.770854\pi\) |
−0.152188 | + | 0.988352i | \(0.548632\pi\) | |||||||
\(458\) | −17.3878 | −0.812477 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.12836 | −0.0526098 | ||||||||
\(461\) | 31.5478 | − | 11.4825i | 1.46933 | − | 0.534791i | 0.521410 | − | 0.853307i | \(-0.325406\pi\) |
0.947918 | + | 0.318515i | \(0.103184\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.0590 | − | 8.44047i | 0.467480 | − | 0.392262i | −0.378395 | − | 0.925644i | \(-0.623524\pi\) |
0.845874 | + | 0.533382i | \(0.179079\pi\) | |||||||
\(464\) | 2.00152 | + | 11.3512i | 0.0929181 | + | 0.526965i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.5077 | − | 10.4952i | −0.579410 | − | 0.486183i | ||||
\(467\) | −11.8154 | + | 20.4648i | −0.546750 | + | 0.946999i | 0.451745 | + | 0.892147i | \(0.350802\pi\) |
−0.998495 | + | 0.0548513i | \(0.982532\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.6694 | − | 28.8722i | −0.769720 | − | 1.33319i | ||||
\(470\) | −0.300767 | + | 1.70574i | −0.0138734 | + | 0.0786798i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.40420 | + | 3.05888i | 0.386835 | + | 0.140796i | ||||
\(473\) | 15.0442 | + | 5.47565i | 0.691734 | + | 0.251771i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.32218 | − | 24.5123i | 0.198315 | − | 1.12470i | ||||
\(476\) | −4.31753 | − | 7.47818i | −0.197894 | − | 0.342762i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.76130 | + | 6.51476i | −0.172038 | + | 0.297978i | ||||
\(479\) | −4.50449 | − | 3.77972i | −0.205815 | − | 0.172700i | 0.534054 | − | 0.845451i | \(-0.320668\pi\) |
−0.739869 | + | 0.672751i | \(0.765113\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.84389 | − | 10.4572i | −0.0840743 | − | 0.476809i | ||||
\(482\) | 8.41009 | − | 7.05690i | 0.383069 | − | 0.321433i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.06758 | + | 0.388568i | −0.0485264 | + | 0.0176622i | ||||
\(485\) | −4.51557 | −0.205041 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 38.7965 | 1.75804 | 0.879020 | − | 0.476786i | \(-0.158198\pi\) | ||||
0.879020 | + | 0.476786i | \(0.158198\pi\) | |||||||
\(488\) | −22.3651 | + | 8.14022i | −1.01242 | + | 0.368490i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.40760 | − | 2.02022i | 0.108764 | − | 0.0912642i | ||||
\(491\) | −6.52644 | − | 37.0133i | −0.294534 | − | 1.67039i | −0.669090 | − | 0.743181i | \(-0.733316\pi\) |
0.374557 | − | 0.927204i | \(-0.377795\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.5162 | − | 16.3760i | −0.878965 | − | 0.737539i | ||||
\(494\) | −10.9675 | + | 18.9963i | −0.493452 | + | 0.854684i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.08260 | − | 5.33921i | −0.138413 | − | 0.239738i | ||||
\(497\) | 3.25519 | − | 18.4611i | 0.146015 | − | 0.828094i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −31.7165 | − | 11.5439i | −1.41982 | − | 0.516774i | −0.485827 | − | 0.874055i | \(-0.661482\pi\) |
−0.933997 | + | 0.357281i | \(0.883704\pi\) | |||||||
\(500\) | 1.42804 | + | 0.519762i | 0.0638637 | + | 0.0232445i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.50862 | − | 8.55580i | 0.0673329 | − | 0.381864i | ||||
\(503\) | 9.35597 | + | 16.2050i | 0.417162 | + | 0.722546i | 0.995653 | − | 0.0931429i | \(-0.0296913\pi\) |
−0.578491 | + | 0.815689i | \(0.696358\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.464508 | − | 0.804551i | 0.0206703 | − | 0.0358020i | ||||
\(506\) | 19.9230 | + | 16.7173i | 0.885684 | + | 0.743177i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.161160 | + | 0.913982i | 0.00715030 | + | 0.0405514i | ||||
\(509\) | 16.6754 | − | 13.9923i | 0.739124 | − | 0.620198i | −0.193478 | − | 0.981105i | \(-0.561977\pi\) |
0.932602 | + | 0.360906i | \(0.117533\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.15910 | + | 1.87776i | −0.228225 | + | 0.0830672i | ||||
\(512\) | 25.4026 | 1.12265 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.73473 | −0.208840 | ||||||||
\(515\) | −0.607639 | + | 0.221162i | −0.0267758 | + | 0.00974558i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.42649 | + | 5.39246i | −0.282637 | + | 0.237160i | ||||
\(518\) | −2.54422 | − | 14.4290i | −0.111787 | − | 0.633975i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.39646 | − | 2.84997i | −0.148945 | − | 0.124979i | ||||
\(521\) | 3.23822 | − | 5.60876i | 0.141869 | − | 0.245724i | −0.786332 | − | 0.617805i | \(-0.788022\pi\) |
0.928200 | + | 0.372081i | \(0.121356\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.43629 | + | 9.41593i | 0.237712 | + | 0.411730i | 0.960057 | − | 0.279803i | \(-0.0902691\pi\) |
−0.722345 | + | 0.691533i | \(0.756936\pi\) | |||||||
\(524\) | −0.176090 | + | 0.998656i | −0.00769253 | + | 0.0436265i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.39470 | + | 1.59954i | 0.191618 | + | 0.0697433i | ||||
\(527\) | 12.8051 | + | 4.66069i | 0.557801 | + | 0.203023i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.20140 | − | 29.4986i | 0.226148 | − | 1.28255i | ||||
\(530\) | 2.51730 | + | 4.36009i | 0.109344 | + | 0.189390i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.18004 | − | 5.50800i | 0.137872 | − | 0.238802i | ||||
\(533\) | 12.2539 | + | 10.2822i | 0.530775 | + | 0.445373i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.173343 | − | 0.983080i | −0.00749429 | − | 0.0425022i | ||||
\(536\) | −21.8191 | + | 18.3084i | −0.942442 | + | 0.790802i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.56108 | + | 3.11598i | −0.369094 | + | 0.134339i | ||||
\(539\) | 15.2226 | 0.655686 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 24.6459 | 1.05961 | 0.529805 | − | 0.848120i | \(-0.322265\pi\) | ||||
0.529805 | + | 0.848120i | \(0.322265\pi\) | |||||||
\(542\) | −22.9529 | + | 8.35416i | −0.985910 | + | 0.358842i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.4666 | + | 8.78249i | −0.448750 | + | 0.376546i | ||||
\(545\) | 0.891823 | + | 5.05778i | 0.0382015 | + | 0.216652i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 23.6917 | + | 19.8797i | 1.01298 | + | 0.849993i | 0.988729 | − | 0.149713i | \(-0.0478350\pi\) |
0.0242526 | + | 0.999706i | \(0.492279\pi\) | |||||||
\(548\) | 0.808718 | − | 1.40074i | 0.0345467 | − | 0.0598367i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.57873 | − | 14.8588i | −0.365798 | − | 0.633581i | ||||
\(551\) | 3.25844 | − | 18.4795i | 0.138814 | − | 0.787254i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.5026 | − | 14.3778i | −1.67982 | − | 0.611405i | ||||
\(554\) | −16.7824 | − | 6.10829i | −0.713015 | − | 0.259516i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.482621 | − | 2.73708i | 0.0204677 | − | 0.116078i | ||||
\(557\) | −11.6813 | − | 20.2327i | −0.494954 | − | 0.857286i | 0.505029 | − | 0.863102i | \(-0.331482\pi\) |
−0.999983 | + | 0.00581674i | \(0.998148\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.47565 | − | 16.4123i | 0.400777 | − | 0.694167i | ||||
\(560\) | −3.84737 | − | 3.22833i | −0.162581 | − | 0.136422i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.93969 | − | 28.0144i | −0.208368 | − | 1.18172i | ||||
\(563\) | 25.8063 | − | 21.6540i | 1.08761 | − | 0.912609i | 0.0910754 | − | 0.995844i | \(-0.470970\pi\) |
0.996530 | + | 0.0832347i | \(0.0265251\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.708263 | + | 0.257787i | −0.0297969 | + | 0.0108452i | ||||
\(566\) | 30.5097 | 1.28242 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.0155 | −0.671995 | ||||||||
\(569\) | 28.9386 | − | 10.5328i | 1.21317 | − | 0.441558i | 0.345368 | − | 0.938467i | \(-0.387754\pi\) |
0.867803 | + | 0.496909i | \(0.165532\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.8858 | + | 19.2035i | −0.957740 | + | 0.803639i | −0.980584 | − | 0.196100i | \(-0.937172\pi\) |
0.0228438 | + | 0.999739i | \(0.492728\pi\) | |||||||
\(572\) | −0.551740 | − | 3.12907i | −0.0230694 | − | 0.130833i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 16.9081 | + | 14.1876i | 0.705729 | + | 0.592177i | ||||
\(575\) | −17.4670 | + | 30.2538i | −0.728425 | + | 1.26167i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.40373 | − | 4.16339i | −0.100069 | − | 0.173324i | 0.811644 | − | 0.584152i | \(-0.198573\pi\) |
−0.911713 | + | 0.410828i | \(0.865240\pi\) | |||||||
\(578\) | −7.26698 | + | 41.2131i | −0.302266 | + | 1.71424i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.527341 | + | 0.191936i | 0.0218966 | + | 0.00796973i | ||||
\(581\) | 53.9591 | + | 19.6395i | 2.23860 | + | 0.814784i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.23442 | + | 24.0146i | −0.175372 | + | 0.994583i | ||||
\(584\) | 2.34527 | + | 4.06212i | 0.0970478 | + | 0.168092i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.9598 | − | 20.7149i | 0.494053 | − | 0.855725i | ||||
\(587\) | 6.08056 | + | 5.10220i | 0.250972 | + | 0.210590i | 0.759591 | − | 0.650402i | \(-0.225399\pi\) |
−0.508619 | + | 0.860992i | \(0.669844\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.74288 | + | 9.88435i | 0.0718141 | + | 0.407278i | ||||
\(590\) | −1.30315 | + | 1.09347i | −0.0536498 | + | 0.0450176i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −9.65657 | + | 3.51471i | −0.396883 | + | 0.144454i | ||||
\(593\) | 36.2753 | 1.48965 | 0.744824 | − | 0.667261i | \(-0.232533\pi\) | ||||
0.744824 | + | 0.667261i | \(0.232533\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.1010 | 0.455097 | ||||||||
\(596\) | −6.59613 | + | 2.40080i | −0.270188 | + | 0.0983405i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 23.5835 | − | 19.7889i | 0.964402 | − | 0.809230i | ||||
\(599\) | 5.84240 | + | 33.1339i | 0.238714 | + | 1.35381i | 0.834650 | + | 0.550781i | \(0.185670\pi\) |
−0.595936 | + | 0.803032i | \(0.703219\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.28106 | − | 1.91404i | −0.0930463 | − | 0.0780752i | 0.595078 | − | 0.803668i | \(-0.297121\pi\) |
−0.688124 | + | 0.725593i | \(0.741566\pi\) | |||||||
\(602\) | 13.0746 | − | 22.6459i | 0.532882 | − | 0.922978i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.16385 | + | 2.01584i | 0.0473563 | + | 0.0820235i | ||||
\(605\) | 0.253620 | − | 1.43835i | 0.0103111 | − | 0.0584772i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.7049 | + | 5.35213i | 0.596852 | + | 0.217236i | 0.622740 | − | 0.782429i | \(-0.286019\pi\) |
−0.0258885 | + | 0.999665i | \(0.508242\pi\) | |||||||
\(608\) | −9.45658 | − | 3.44191i | −0.383515 | − | 0.139588i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.786112 | − | 4.45826i | 0.0318287 | − | 0.180510i | ||||
\(611\) | 4.96529 | + | 8.60014i | 0.200874 | + | 0.347924i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.533433 | − | 0.923933i | 0.0215452 | − | 0.0373173i | −0.855052 | − | 0.518543i | \(-0.826475\pi\) |
0.876597 | + | 0.481225i | \(0.159808\pi\) | |||||||
\(614\) | −20.4317 | − | 17.1442i | −0.824557 | − | 0.691886i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.14543 | − | 29.1812i | −0.207315 | − | 1.17574i | ||||
\(617\) | −10.0122 | + | 8.40121i | −0.403075 | + | 0.338220i | −0.821681 | − | 0.569948i | \(-0.806963\pi\) |
0.418606 | + | 0.908168i | \(0.362519\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −19.2802 | + | 7.01741i | −0.774936 | + | 0.282054i | −0.699059 | − | 0.715064i | \(-0.746398\pi\) |
−0.0758765 | + | 0.997117i | \(0.524175\pi\) | |||||||
\(620\) | −0.300167 | −0.0120550 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −26.2071 | −1.05081 | ||||||||
\(623\) | −61.1568 | + | 22.2592i | −2.45019 | + | 0.891798i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.8910 | − | 14.1732i | 0.675640 | − | 0.566929i | ||||
\(626\) | 6.66159 | + | 37.7798i | 0.266251 | + | 1.50998i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.41669 | − | 1.18874i | −0.0565320 | − | 0.0474360i | ||||
\(629\) | 11.3569 | − | 19.6707i | 0.452829 | − | 0.784323i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.15611 | + | 8.93064i | 0.205261 | + | 0.355523i | 0.950216 | − | 0.311592i | \(-0.100862\pi\) |
−0.744955 | + | 0.667115i | \(0.767529\pi\) | |||||||
\(632\) | −6.23654 | + | 35.3692i | −0.248076 | + | 1.40691i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.21466 | + | 1.89798i | 0.207101 | + | 0.0753785i | ||||
\(635\) | −1.12116 | − | 0.408071i | −0.0444921 | − | 0.0161938i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.12907 | − | 17.7458i | 0.123978 | − | 0.703116i | ||||
\(638\) | −6.46740 | − | 11.2019i | −0.256047 | − | 0.443486i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.67752 | + | 2.90555i | −0.0663097 | + | 0.114852i | ||||
\(641\) | 2.68588 | + | 2.25372i | 0.106086 | + | 0.0890165i | 0.694288 | − | 0.719698i | \(-0.255720\pi\) |
−0.588202 | + | 0.808714i | \(0.700164\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.47889 | + | 31.0723i | 0.216066 | + | 1.22537i | 0.879046 | + | 0.476736i | \(0.158180\pi\) |
−0.662980 | + | 0.748637i | \(0.730708\pi\) | |||||||
\(644\) | −6.83807 | + | 5.73783i | −0.269458 | + | 0.226102i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −44.0908 | + | 16.0477i | −1.73473 | + | 0.631390i | ||||
\(647\) | −3.04628 | −0.119762 | −0.0598808 | − | 0.998206i | \(-0.519072\pi\) | ||||
−0.0598808 | + | 0.998206i | \(0.519072\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.23947 | −0.323428 | ||||||||
\(650\) | −19.0851 | + | 6.94639i | −0.748578 | + | 0.272460i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.01501 | + | 0.851698i | −0.0397510 | + | 0.0333551i | ||||
\(653\) | −5.33749 | − | 30.2704i | −0.208872 | − | 1.18457i | −0.891229 | − | 0.453553i | \(-0.850156\pi\) |
0.682357 | − | 0.731019i | \(-0.260955\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.998656 | − | 0.837972i | −0.0390207 | − | 0.0327423i | ||||
\(656\) | 7.74038 | − | 13.4067i | 0.302211 | − | 0.523445i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.85117 | + | 11.8666i | 0.267086 | + | 0.462607i | ||||
\(659\) | −5.76233 | + | 32.6798i | −0.224469 | + | 1.27302i | 0.639230 | + | 0.769016i | \(0.279253\pi\) |
−0.863699 | + | 0.504009i | \(0.831858\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.0086 | + | 5.09872i | 0.544872 | + | 0.198317i | 0.599767 | − | 0.800175i | \(-0.295260\pi\) |
−0.0548946 | + | 0.998492i | \(0.517482\pi\) | |||||||
\(662\) | −3.52618 | − | 1.28342i | −0.137049 | − | 0.0498817i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.51889 | − | 48.3130i | 0.330597 | − | 1.87491i | ||||
\(665\) | 4.08819 | + | 7.08095i | 0.158533 | + | 0.274587i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.1682 | + | 22.8080i | −0.509874 | + | 0.883128i | ||||
\(668\) | −2.43042 | − | 2.03936i | −0.0940357 | − | 0.0789053i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.940769 | − | 5.33537i | −0.0363451 | − | 0.206123i | ||||
\(671\) | 16.7968 | − | 14.0942i | 0.648434 | − | 0.544101i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.47343 | + | 2.35614i | −0.249532 | + | 0.0908224i | −0.463758 | − | 0.885962i | \(-0.653499\pi\) |
0.214226 | + | 0.976784i | \(0.431277\pi\) | |||||||
\(674\) | −18.5656 | −0.715122 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.753718 | 0.0289892 | ||||||||
\(677\) | 12.3938 | − | 4.51098i | 0.476333 | − | 0.173371i | −0.0926859 | − | 0.995695i | \(-0.529545\pi\) |
0.569019 | + | 0.822324i | \(0.307323\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −27.3653 | + | 22.9622i | −1.05018 | + | 0.881209i | ||||
\(680\) | −1.64690 | − | 9.34002i | −0.0631557 | − | 0.358174i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.29994 | + | 4.44718i | 0.202945 | + | 0.170291i | ||||
\(683\) | 1.68907 | − | 2.92556i | 0.0646305 | − | 0.111943i | −0.831900 | − | 0.554926i | \(-0.812746\pi\) |
0.896530 | + | 0.442983i | \(0.146080\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.03967 | + | 1.80076i | 0.0397237 | + | 0.0688034i | ||||
\(686\) | −1.20194 | + | 6.81655i | −0.0458904 | + | 0.260257i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −17.2344 | − | 6.27282i | −0.657056 | − | 0.239149i | ||||
\(689\) | 27.1247 | + | 9.87258i | 1.03337 | + | 0.376115i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.06599 | − | 23.0594i | 0.154678 | − | 0.877220i | −0.804403 | − | 0.594085i | \(-0.797514\pi\) |
0.959080 | − | 0.283135i | \(-0.0913745\pi\) | |||||||
\(692\) | 1.05471 | + | 1.82682i | 0.0400942 | + | 0.0694452i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.934640 | + | 1.61884i | −0.0354785 | + | 0.0614505i | ||||
\(695\) | 2.73708 | + | 2.29668i | 0.103823 | + | 0.0871182i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.94175 | + | 33.6974i | 0.225060 | + | 1.27638i | ||||
\(698\) | 27.1627 | − | 22.7922i | 1.02812 | − | 0.862698i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.53374 | − | 2.01412i | 0.209156 | − | 0.0761264i | ||||
\(701\) | 45.5001 | 1.71852 | 0.859258 | − | 0.511543i | \(-0.170926\pi\) | ||||
0.859258 | + | 0.511543i | \(0.170926\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.7297 | 0.630972 | ||||||||
\(704\) | −23.1585 | + | 8.42902i | −0.872820 | + | 0.317680i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.3721 | + | 8.70323i | −0.390360 | + | 0.327551i | ||||
\(707\) | −1.27622 | − | 7.23783i | −0.0479973 | − | 0.272206i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 29.5822 | + | 24.8224i | 1.11098 | + | 0.932225i | 0.998114 | − | 0.0613851i | \(-0.0195518\pi\) |
0.112868 | + | 0.993610i | \(0.463996\pi\) | |||||||
\(710\) | 1.52314 | − | 2.63816i | 0.0571624 | − | 0.0990082i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 27.8011 | + | 48.1530i | 1.04189 | + | 1.80461i | ||||
\(713\) | 2.44615 | − | 13.8728i | 0.0916092 | − | 0.519541i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.83837 | + | 1.39705i | 0.143547 | + | 0.0522468i | ||||
\(716\) | 3.35527 | + | 1.22122i | 0.125392 | + | 0.0456391i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.28281 | + | 18.6178i | −0.122514 | + | 0.694809i | ||||
\(719\) | 24.6591 | + | 42.7108i | 0.919630 | + | 1.59285i | 0.799978 | + | 0.600030i | \(0.204845\pi\) |
0.119652 | + | 0.992816i | \(0.461822\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.55778 | + | 4.43021i | −0.0952567 | + | 0.164990i | ||||
\(722\) | −7.76233 | − | 6.51337i | −0.288884 | − | 0.242402i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.39558 | + | 7.91474i | 0.0518664 | + | 0.294149i | ||||
\(725\) | 13.3095 | − | 11.1680i | 0.494304 | − | 0.414770i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.3469 | − | 11.0454i | 1.12550 | − | 0.409650i | 0.288846 | − | 0.957376i | \(-0.406729\pi\) |
0.836658 | + | 0.547726i | \(0.184506\pi\) | |||||||
\(728\) | −35.0757 | −1.29999 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.892178 | −0.0330210 | ||||||||
\(731\) | 38.0933 | − | 13.8648i | 1.40893 | − | 0.512810i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.2328 | − | 25.3684i | 1.11668 | − | 0.937002i | 0.118243 | − | 0.992985i | \(-0.462274\pi\) |
0.998432 | + | 0.0559830i | \(0.0178293\pi\) | |||||||
\(734\) | 4.76898 | + | 27.0462i | 0.176026 | + | 0.998294i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.8198 | + | 9.07888i | 0.398823 | + | 0.334652i | ||||
\(737\) | 13.1202 | − | 22.7249i | 0.483290 | − | 0.837083i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.6545 | − | 30.5785i | −0.649432 | − | 1.12485i | −0.983259 | − | 0.182215i | \(-0.941673\pi\) |
0.333827 | − | 0.942634i | \(-0.391660\pi\) | |||||||
\(740\) | −0.0868809 | + | 0.492726i | −0.00319381 | + | 0.0181130i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 37.4270 | + | 13.6223i | 1.37399 | + | 0.500090i | ||||
\(743\) | 44.5514 | + | 16.2154i | 1.63443 | + | 0.594884i | 0.986053 | − | 0.166433i | \(-0.0532251\pi\) |
0.648379 | + | 0.761318i | \(0.275447\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.56701 | − | 8.88695i | 0.0574108 | − | 0.325593i | ||||
\(746\) | 14.5428 | + | 25.1888i | 0.532449 | + | 0.922228i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.39827 | − | 5.88598i | 0.124253 | − | 0.215213i | ||||
\(749\) | −6.04958 | − | 5.07620i | −0.221047 | − | 0.185480i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.55035 | − | 8.79244i | −0.0565729 | − | 0.320841i | 0.943368 | − | 0.331749i | \(-0.107639\pi\) |
−0.999941 | + | 0.0109084i | \(0.996528\pi\) | |||||||
\(752\) | 7.36208 | − | 6.17752i | 0.268467 | − | 0.225271i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −14.3880 | + | 5.23680i | −0.523980 | + | 0.190713i | ||||
\(755\) | −2.99243 | −0.108906 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.63816 | −0.132231 | −0.0661155 | − | 0.997812i | \(-0.521061\pi\) | ||||
−0.0661155 | + | 0.997812i | \(0.521061\pi\) | |||||||
\(758\) | −20.6265 | + | 7.50744i | −0.749189 | + | 0.272682i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.35117 | − | 4.49016i | 0.194107 | − | 0.162875i | ||||
\(761\) | −1.16150 | − | 6.58718i | −0.0421043 | − | 0.238785i | 0.956492 | − | 0.291760i | \(-0.0942408\pi\) |
−0.998596 | + | 0.0529748i | \(0.983130\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 31.1241 | + | 26.1162i | 1.12677 | + | 0.945470i | ||||
\(764\) | 2.54747 | − | 4.41235i | 0.0921643 | − | 0.159633i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −25.0633 | − | 43.4109i | −0.905574 | − | 1.56850i | ||||
\(767\) | −1.69365 | + | 9.60519i | −0.0611543 | + | 0.346823i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.1763 | + | 7.34359i | 0.727577 | + | 0.264816i | 0.679139 | − | 0.734010i | \(-0.262353\pi\) |
0.0484383 | + | 0.998826i | \(0.484576\pi\) | |||||||
\(770\) | 5.29623 | + | 1.92767i | 0.190863 | + | 0.0694684i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.41370 | + | 8.01747i | −0.0508800 | + | 0.288555i | ||||
\(773\) | 5.12208 | + | 8.87170i | 0.184228 | + | 0.319093i | 0.943316 | − | 0.331895i | \(-0.107688\pi\) |
−0.759088 | + | 0.650988i | \(0.774355\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.64661 | + | 8.04817i | −0.166911 | + | 0.289099i | ||||
\(776\) | 23.3794 | + | 19.6177i | 0.839273 | + | 0.704234i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.27972 | − | 12.9289i | −0.0817317 | − | 0.463524i | ||||
\(779\) | −19.3062 | + | 16.1998i | −0.691716 | + | 0.580418i | ||||
\(780\) | 0 |