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 | 163.1 | ||
Root | \(-0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.163 |
Dual form | 729.2.e.q.568.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 | −0.731759 | − | 0.681564i | \(-0.761300\pi\) |
−0.122459 | + | 0.992474i | \(0.539078\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.266044 | + | 0.223238i | −0.133022 | + | 0.111619i | ||||
\(5\) | 0.0775297 | + | 0.439693i | 0.0346723 | + | 0.196637i | 0.997224 | − | 0.0744624i | \(-0.0237241\pi\) |
−0.962552 | + | 0.271099i | \(0.912613\pi\) | |||||||
\(6\) | 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 | \(0.193213\pi\) |
−0.966920 | + | 0.255081i | \(0.917898\pi\) | |||||||
\(12\) | 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 | \(0.158948\pi\) |
−0.0242455 | + | 0.999706i | \(0.507718\pi\) | |||||||
\(18\) | 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 | 0.162418 | − | 0.986722i | \(-0.448071\pi\) |
0.999935 | + | 0.0113920i | \(0.00362627\pi\) | |||||||
\(24\) | 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 | −0.637898 | − | 0.770121i | \(-0.720196\pi\) |
0.00636650 | + | 0.999980i | \(0.497973\pi\) | |||||||
\(30\) | 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 | 0.673102 | − | 0.739550i | \(-0.264962\pi\) |
0.0402521 | + | 0.999190i | \(0.487184\pi\) | |||||||
\(42\) | 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 | 0.795621 | − | 0.605795i | \(-0.207145\pi\) |
−0.458434 | + | 0.888729i | \(0.651589\pi\) | |||||||
\(48\) | 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 | \(-0.294202\pi\) | ||||
0.602423 | + | 0.798177i | \(0.294202\pi\) | |||||||
\(54\) | 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 | \(0.00624194\pi\) |
−0.932805 | + | 0.360380i | \(0.882647\pi\) | |||||||
\(60\) | 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 | 0.664492 | − | 0.747296i | \(-0.268648\pi\) |
−0.979423 | + | 0.201819i | \(0.935315\pi\) | |||||||
\(72\) | 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 | 0.683976 | − | 0.729504i | \(-0.260249\pi\) |
0.992873 | + | 0.119181i | \(0.0380270\pi\) | |||||||
\(84\) | 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 | \(0.597622\pi\) |
−0.674665 | + | 0.738125i | \(0.735712\pi\) | |||||||
\(90\) | 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 | 0.560031 | − | 0.828472i | \(-0.310789\pi\) |
−0.718637 | + | 0.695386i | \(0.755234\pi\) | |||||||
\(102\) | 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 | \(-0.534468\pi\) | ||||
−0.108073 | + | 0.994143i | \(0.534468\pi\) | |||||||
\(108\) | 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 | 0.995487 | − | 0.0949023i | \(-0.0302539\pi\) |
−0.967910 | + | 0.251297i | \(0.919143\pi\) | |||||||
\(114\) | 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 | −0.735250 | − | 0.677796i | \(-0.762935\pi\) |
0.539824 | + | 0.841778i | \(0.318491\pi\) | |||||||
\(132\) | 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 | −0.148235 | − | 0.988952i | \(-0.547359\pi\) |
0.522132 | + | 0.852865i | \(0.325137\pi\) | |||||||
\(138\) | 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 | −0.586147 | − | 0.810204i | \(-0.699356\pi\) |
−0.969804 | + | 0.243884i | \(0.921578\pi\) | |||||||
\(150\) | 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 | \(-0.940561\pi\) |
0.859861 | − | 0.510528i | \(-0.170550\pi\) | |||||||
\(168\) | 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 | \(0.129720\pi\) |
−0.998292 | + | 0.0584296i | \(0.981391\pi\) | |||||||
\(174\) | 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 | 0.991661 | − | 0.128872i | \(-0.0411355\pi\) |
−0.607437 | + | 0.794368i | \(0.707802\pi\) | |||||||
\(180\) | 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 | 0.208874 | − | 0.977943i | \(-0.433020\pi\) |
0.788616 | + | 0.614886i | \(0.210798\pi\) | |||||||
\(192\) | 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 | −0.980818 | − | 0.194926i | \(-0.937553\pi\) |
0.659220 | + | 0.751950i | \(0.270887\pi\) | |||||||
\(198\) | 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 | \(-0.830466\pi\) |
0.983203 | − | 0.182513i | \(-0.0584231\pi\) | |||||||
\(228\) | 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 | 0.995535 | − | 0.0943883i | \(-0.0300895\pi\) |
−0.579510 | + | 0.814965i | \(0.696756\pi\) | |||||||
\(234\) | 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 | −0.486196 | − | 0.873850i | \(-0.661616\pi\) |
0.776147 | + | 0.630552i | \(0.217171\pi\) | |||||||
\(240\) | 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 | −0.952738 | − | 0.303792i | \(-0.901747\pi\) |
0.739461 | + | 0.673199i | \(0.235080\pi\) | |||||||
\(252\) | 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 | 0.447697 | − | 0.894185i | \(-0.352244\pi\) |
−0.231815 | + | 0.972760i | \(0.574466\pi\) | |||||||
\(258\) | 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 | 0.552812 | − | 0.833306i | \(-0.313555\pi\) |
−0.724651 | + | 0.689116i | \(0.757999\pi\) | |||||||
\(264\) | 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 | \(-0.430685\pi\) | ||||
0.216042 | + | 0.976384i | \(0.430685\pi\) | |||||||
\(270\) | 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 | \(0.285003\pi\) |
−0.854455 | + | 0.519526i | \(0.826109\pi\) | |||||||
\(282\) | 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 | −0.955903 | − | 0.293682i | \(-0.905119\pi\) |
0.123229 | + | 0.992378i | \(0.460675\pi\) | |||||||
\(294\) | 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 | 0.822228 | − | 0.569159i | \(-0.192731\pi\) |
0.264015 | + | 0.964519i | \(0.414953\pi\) | |||||||
\(312\) | 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 | 0.545186 | − | 0.838315i | \(-0.316459\pi\) |
−0.730909 | + | 0.682475i | \(0.760904\pi\) | |||||||
\(318\) | 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 | −0.612400 | − | 0.790548i | \(-0.709796\pi\) |
0.672195 | + | 0.740374i | \(0.265351\pi\) | |||||||
\(348\) | 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 | −0.0649301 | − | 0.997890i | \(-0.520682\pi\) |
0.591692 | + | 0.806164i | \(0.298460\pi\) | |||||||
\(354\) | 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 | −0.604127 | − | 0.796888i | \(-0.706478\pi\) |
0.992189 | + | 0.124745i | \(0.0398112\pi\) | |||||||
\(360\) | 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 | \(0.416643\pi\) |
0.0870812 | + | 0.996201i | \(0.472246\pi\) | |||||||
\(384\) | 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 | \(0.138911\pi\) |
−0.996189 | + | 0.0872245i | \(0.972200\pi\) | |||||||
\(390\) | 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 | −0.158542 | − | 0.987352i | \(-0.550679\pi\) |
0.944822 | + | 0.327585i | \(0.106235\pi\) | |||||||
\(402\) | 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 | 0.987470 | − | 0.157806i | \(-0.0504420\pi\) |
0.655010 | + | 0.755620i | \(0.272664\pi\) | |||||||
\(420\) | 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 | \(-0.573355\pi\) | ||||
−0.228417 | + | 0.973563i | \(0.573355\pi\) | |||||||
\(432\) | 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 | \(-0.844572\pi\) |
0.990324 | − | 0.138777i | \(-0.0443172\pi\) | |||||||
\(444\) | 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 | 0.806236 | − | 0.591594i | \(-0.201501\pi\) |
−0.915454 | + | 0.402424i | \(0.868168\pi\) | |||||||
\(450\) | 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 | −0.947918 | − | 0.318515i | \(-0.896816\pi\) |
−0.521410 | + | 0.853307i | \(0.674594\pi\) | |||||||
\(462\) | 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 | \(-0.649198\pi\) |
0.998495 | − | 0.0548513i | \(-0.0174685\pi\) | |||||||
\(468\) | 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 | 0.739869 | − | 0.672751i | \(-0.234887\pi\) |
−0.534054 | + | 0.845451i | \(0.679332\pi\) | |||||||
\(480\) | 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 | \(0.266684\pi\) |
−0.374557 | + | 0.927204i | \(0.622205\pi\) | |||||||
\(492\) | 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 | 0.578491 | − | 0.815689i | \(-0.303642\pi\) |
−0.995653 | + | 0.0931429i | \(0.970309\pi\) | |||||||
\(504\) | 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 | −0.932602 | − | 0.360906i | \(-0.882467\pi\) |
0.193478 | + | 0.981105i | \(0.438023\pi\) | |||||||
\(510\) | 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 | −0.928200 | − | 0.372081i | \(-0.878644\pi\) |
0.786332 | + | 0.617805i | \(0.211978\pi\) | |||||||
\(522\) | 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 | 0.999983 | − | 0.00581674i | \(-0.00185154\pi\) |
−0.505029 | + | 0.863102i | \(0.668518\pi\) | |||||||
\(558\) | 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 | −0.996530 | − | 0.0832347i | \(-0.973475\pi\) |
−0.0910754 | + | 0.995844i | \(0.529030\pi\) | |||||||
\(564\) | 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 | −0.867803 | − | 0.496909i | \(-0.834468\pi\) |
−0.345368 | + | 0.938467i | \(0.612246\pi\) | |||||||
\(570\) | 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 | 0.508619 | − | 0.860992i | \(-0.330156\pi\) |
−0.759591 | + | 0.650402i | \(0.774601\pi\) | |||||||
\(588\) | 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 | \(-0.767467\pi\) | ||||
−0.744824 | + | 0.667261i | \(0.767467\pi\) | |||||||
\(594\) | 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 | \(-0.814330\pi\) |
0.595936 | − | 0.803032i | \(-0.296781\pi\) | |||||||
\(600\) | 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 | −0.418606 | − | 0.908168i | \(-0.637481\pi\) |
0.821681 | + | 0.569948i | \(0.193037\pi\) | |||||||
\(618\) | 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 | 0.588202 | − | 0.808714i | \(-0.299836\pi\) |
−0.694288 | + | 0.719698i | \(0.744280\pi\) | |||||||
\(642\) | 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 | \(-0.480928\pi\) | ||||
0.0598808 | + | 0.998206i | \(0.480928\pi\) | |||||||
\(648\) | 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 | \(0.149844\pi\) |
−0.682357 | + | 0.731019i | \(0.739045\pi\) | |||||||
\(654\) | 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 | \(-0.720747\pi\) |
0.863699 | − | 0.504009i | \(-0.168142\pi\) | |||||||
\(660\) | 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 | −0.569019 | − | 0.822324i | \(-0.692677\pi\) |
0.0926859 | + | 0.995695i | \(0.470455\pi\) | |||||||
\(678\) | 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 | −0.896530 | − | 0.442983i | \(-0.853920\pi\) |
0.831900 | + | 0.554926i | \(0.187254\pi\) | |||||||
\(684\) | 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 | \(-0.829074\pi\) | ||||
−0.859258 | + | 0.511543i | \(0.829074\pi\) | |||||||
\(702\) | 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 | \(-0.795155\pi\) |
−0.119652 | − | 0.992816i | \(-0.538178\pi\) | |||||||
\(720\) | 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 | −0.648379 | − | 0.761318i | \(-0.724553\pi\) |
−0.986053 | + | 0.166433i | \(0.946775\pi\) | |||||||
\(744\) | 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 | 0.998596 | − | 0.0529748i | \(-0.0168703\pi\) |
−0.956492 | + | 0.291760i | \(0.905759\pi\) | |||||||
\(762\) | 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 | 0.759088 | − | 0.650988i | \(-0.225645\pi\) |
−0.943316 | + | 0.331895i | \(0.892312\pi\) | |||||||
\(774\) | 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 | ||||
\(780\) |