Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(53,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.53");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.d (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 18) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 53.1 | ||
Root | \(-1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 162.53 |
Dual form | 162.3.d.b.107.1 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.22474 | + | 0.707107i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | − | 1.73205i | 0.250000 | − | 0.433013i | ||||
\(5\) | −3.67423 | − | 2.12132i | −0.734847 | − | 0.424264i | 0.0853458 | − | 0.996351i | \(-0.472801\pi\) |
−0.820193 | + | 0.572087i | \(0.806134\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00000 | + | 3.46410i | 0.285714 | + | 0.494872i | 0.972782 | − | 0.231722i | \(-0.0744358\pi\) |
−0.687068 | + | 0.726593i | \(0.741103\pi\) | |||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.00000 | 0.600000 | ||||||||
\(11\) | −14.6969 | + | 8.48528i | −1.33609 | + | 0.771389i | −0.986224 | − | 0.165412i | \(-0.947104\pi\) |
−0.349861 | + | 0.936802i | \(0.613771\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.00000 | + | 6.92820i | −0.307692 | + | 0.532939i | −0.977857 | − | 0.209274i | \(-0.932890\pi\) |
0.670165 | + | 0.742212i | \(0.266223\pi\) | |||||||
\(14\) | −4.89898 | − | 2.82843i | −0.349927 | − | 0.202031i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | 12.7279i | 0.748701i | 0.927287 | + | 0.374351i | \(0.122134\pi\) | ||||
−0.927287 | + | 0.374351i | \(0.877866\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −16.0000 | −0.842105 | −0.421053 | − | 0.907036i | \(-0.638339\pi\) | ||||
−0.421053 | + | 0.907036i | \(0.638339\pi\) | |||||||
\(20\) | −7.34847 | + | 4.24264i | −0.367423 | + | 0.212132i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 12.0000 | − | 20.7846i | 0.545455 | − | 0.944755i | ||||
\(23\) | −14.6969 | − | 8.48528i | −0.638997 | − | 0.368925i | 0.145231 | − | 0.989398i | \(-0.453608\pi\) |
−0.784228 | + | 0.620473i | \(0.786941\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.50000 | − | 6.06218i | −0.140000 | − | 0.242487i | ||||
\(26\) | − | 11.3137i | − | 0.435143i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.00000 | 0.285714 | ||||||||
\(29\) | −3.67423 | + | 2.12132i | −0.126698 | + | 0.0731490i | −0.562009 | − | 0.827131i | \(-0.689972\pi\) |
0.435312 | + | 0.900280i | \(0.356638\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −22.0000 | + | 38.1051i | −0.709677 | + | 1.22920i | 0.255299 | + | 0.966862i | \(0.417826\pi\) |
−0.964977 | + | 0.262335i | \(0.915507\pi\) | |||||||
\(32\) | 4.89898 | + | 2.82843i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −9.00000 | − | 15.5885i | −0.264706 | − | 0.458484i | ||||
\(35\) | − | 16.9706i | − | 0.484873i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −34.0000 | −0.918919 | −0.459459 | − | 0.888199i | \(-0.651957\pi\) | ||||
−0.459459 | + | 0.888199i | \(0.651957\pi\) | |||||||
\(38\) | 19.5959 | − | 11.3137i | 0.515682 | − | 0.297729i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.00000 | − | 10.3923i | 0.150000 | − | 0.259808i | ||||
\(41\) | 40.4166 | + | 23.3345i | 0.985770 | + | 0.569135i | 0.904007 | − | 0.427517i | \(-0.140612\pi\) |
0.0817630 | + | 0.996652i | \(0.473945\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 20.0000 | + | 34.6410i | 0.465116 | + | 0.805605i | 0.999207 | − | 0.0398223i | \(-0.0126792\pi\) |
−0.534090 | + | 0.845427i | \(0.679346\pi\) | |||||||
\(44\) | 33.9411i | 0.771389i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 24.0000 | 0.521739 | ||||||||
\(47\) | 73.4847 | − | 42.4264i | 1.56350 | − | 0.902690i | 0.566606 | − | 0.823989i | \(-0.308256\pi\) |
0.996898 | − | 0.0787005i | \(-0.0250771\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 16.5000 | − | 28.5788i | 0.336735 | − | 0.583242i | ||||
\(50\) | 8.57321 | + | 4.94975i | 0.171464 | + | 0.0989949i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 8.00000 | + | 13.8564i | 0.153846 | + | 0.266469i | ||||
\(53\) | − | 38.1838i | − | 0.720448i | −0.932866 | − | 0.360224i | \(-0.882700\pi\) | ||
0.932866 | − | 0.360224i | \(-0.117300\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 72.0000 | 1.30909 | ||||||||
\(56\) | −9.79796 | + | 5.65685i | −0.174964 | + | 0.101015i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.00000 | − | 5.19615i | 0.0517241 | − | 0.0895888i | ||||
\(59\) | 29.3939 | + | 16.9706i | 0.498201 | + | 0.287637i | 0.727970 | − | 0.685609i | \(-0.240464\pi\) |
−0.229769 | + | 0.973245i | \(0.573797\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −25.0000 | − | 43.3013i | −0.409836 | − | 0.709857i | 0.585035 | − | 0.811008i | \(-0.301081\pi\) |
−0.994871 | + | 0.101151i | \(0.967747\pi\) | |||||||
\(62\) | − | 62.2254i | − | 1.00364i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 29.3939 | − | 16.9706i | 0.452213 | − | 0.261086i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | + | 6.92820i | −0.0597015 | + | 0.103406i | −0.894331 | − | 0.447405i | \(-0.852348\pi\) |
0.834630 | + | 0.550811i | \(0.185682\pi\) | |||||||
\(68\) | 22.0454 | + | 12.7279i | 0.324197 | + | 0.187175i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 12.0000 | + | 20.7846i | 0.171429 | + | 0.296923i | ||||
\(71\) | 50.9117i | 0.717066i | 0.933517 | + | 0.358533i | \(0.116723\pi\) | ||||
−0.933517 | + | 0.358533i | \(0.883277\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −16.0000 | −0.219178 | −0.109589 | − | 0.993977i | \(-0.534953\pi\) | ||||
−0.109589 | + | 0.993977i | \(0.534953\pi\) | |||||||
\(74\) | 41.6413 | − | 24.0416i | 0.562721 | − | 0.324887i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −16.0000 | + | 27.7128i | −0.210526 | + | 0.364642i | ||||
\(77\) | −58.7878 | − | 33.9411i | −0.763477 | − | 0.440794i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 38.0000 | + | 65.8179i | 0.481013 | + | 0.833138i | 0.999763 | − | 0.0217876i | \(-0.00693577\pi\) |
−0.518750 | + | 0.854926i | \(0.673602\pi\) | |||||||
\(80\) | 16.9706i | 0.212132i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −66.0000 | −0.804878 | ||||||||
\(83\) | −102.879 | + | 59.3970i | −1.23950 | + | 0.715626i | −0.968992 | − | 0.247091i | \(-0.920525\pi\) |
−0.270509 | + | 0.962718i | \(0.587192\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 27.0000 | − | 46.7654i | 0.317647 | − | 0.550181i | ||||
\(86\) | −48.9898 | − | 28.2843i | −0.569649 | − | 0.328887i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −24.0000 | − | 41.5692i | −0.272727 | − | 0.472377i | ||||
\(89\) | − | 12.7279i | − | 0.143010i | −0.997440 | − | 0.0715052i | \(-0.977220\pi\) | ||
0.997440 | − | 0.0715052i | \(-0.0227802\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −32.0000 | −0.351648 | ||||||||
\(92\) | −29.3939 | + | 16.9706i | −0.319499 | + | 0.184463i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −60.0000 | + | 103.923i | −0.638298 | + | 1.10556i | ||||
\(95\) | 58.7878 | + | 33.9411i | 0.618818 | + | 0.357275i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −88.0000 | − | 152.420i | −0.907216 | − | 1.57135i | −0.817914 | − | 0.575341i | \(-0.804870\pi\) |
−0.0893025 | − | 0.996005i | \(-0.528464\pi\) | |||||||
\(98\) | 46.6690i | 0.476215i | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −14.0000 | −0.140000 | ||||||||
\(101\) | −25.7196 | + | 14.8492i | −0.254650 | + | 0.147022i | −0.621892 | − | 0.783103i | \(-0.713636\pi\) |
0.367242 | + | 0.930126i | \(0.380302\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.0000 | − | 24.2487i | 0.135922 | − | 0.235424i | −0.790027 | − | 0.613072i | \(-0.789934\pi\) |
0.925949 | + | 0.377648i | \(0.123267\pi\) | |||||||
\(104\) | −19.5959 | − | 11.3137i | −0.188422 | − | 0.108786i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 27.0000 | + | 46.7654i | 0.254717 | + | 0.441183i | ||||
\(107\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 56.0000 | 0.513761 | 0.256881 | − | 0.966443i | \(-0.417305\pi\) | ||||
0.256881 | + | 0.966443i | \(0.417305\pi\) | |||||||
\(110\) | −88.1816 | + | 50.9117i | −0.801651 | + | 0.462834i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.00000 | − | 13.8564i | 0.0714286 | − | 0.123718i | ||||
\(113\) | −135.947 | − | 78.4889i | −1.20307 | − | 0.694592i | −0.241832 | − | 0.970318i | \(-0.577748\pi\) |
−0.961236 | + | 0.275727i | \(0.911082\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 36.0000 | + | 62.3538i | 0.313043 | + | 0.542207i | ||||
\(116\) | 8.48528i | 0.0731490i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −48.0000 | −0.406780 | ||||||||
\(119\) | −44.0908 | + | 25.4558i | −0.370511 | + | 0.213915i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 83.5000 | − | 144.626i | 0.690083 | − | 1.19526i | ||||
\(122\) | 61.2372 | + | 35.3553i | 0.501945 | + | 0.289798i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 44.0000 | + | 76.2102i | 0.354839 | + | 0.614599i | ||||
\(125\) | 135.765i | 1.08612i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 92.0000 | 0.724409 | 0.362205 | − | 0.932099i | \(-0.382024\pi\) | ||||
0.362205 | + | 0.932099i | \(0.382024\pi\) | |||||||
\(128\) | 9.79796 | − | 5.65685i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −24.0000 | + | 41.5692i | −0.184615 | + | 0.319763i | ||||
\(131\) | −146.969 | − | 84.8528i | −1.12190 | − | 0.647731i | −0.180017 | − | 0.983663i | \(-0.557615\pi\) |
−0.941886 | + | 0.335932i | \(0.890949\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −32.0000 | − | 55.4256i | −0.240602 | − | 0.416734i | ||||
\(134\) | − | 11.3137i | − | 0.0844307i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −36.0000 | −0.264706 | ||||||||
\(137\) | −135.947 | + | 78.4889i | −0.992312 | + | 0.572911i | −0.905964 | − | 0.423354i | \(-0.860853\pi\) |
−0.0863471 | + | 0.996265i | \(0.527519\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −76.0000 | + | 131.636i | −0.546763 | + | 0.947021i | 0.451731 | + | 0.892154i | \(0.350807\pi\) |
−0.998494 | + | 0.0548664i | \(0.982527\pi\) | |||||||
\(140\) | −29.3939 | − | 16.9706i | −0.209956 | − | 0.121218i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −36.0000 | − | 62.3538i | −0.253521 | − | 0.439111i | ||||
\(143\) | − | 135.765i | − | 0.949402i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 18.0000 | 0.124138 | ||||||||
\(146\) | 19.5959 | − | 11.3137i | 0.134219 | − | 0.0774912i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −34.0000 | + | 58.8897i | −0.229730 | + | 0.397904i | ||||
\(149\) | 238.825 | + | 137.886i | 1.60285 | + | 0.925408i | 0.990913 | + | 0.134505i | \(0.0429444\pi\) |
0.611941 | + | 0.790903i | \(0.290389\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 74.0000 | + | 128.172i | 0.490066 | + | 0.848820i | 0.999935 | − | 0.0114328i | \(-0.00363925\pi\) |
−0.509868 | + | 0.860252i | \(0.670306\pi\) | |||||||
\(152\) | − | 45.2548i | − | 0.297729i | ||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 96.0000 | 0.623377 | ||||||||
\(155\) | 161.666 | − | 93.3381i | 1.04301 | − | 0.602181i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 41.0000 | − | 71.0141i | 0.261146 | − | 0.452319i | −0.705400 | − | 0.708809i | \(-0.749233\pi\) |
0.966547 | + | 0.256490i | \(0.0825661\pi\) | |||||||
\(158\) | −93.0806 | − | 53.7401i | −0.589118 | − | 0.340127i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.0000 | − | 20.7846i | −0.0750000 | − | 0.129904i | ||||
\(161\) | − | 67.8823i | − | 0.421629i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 56.0000 | 0.343558 | 0.171779 | − | 0.985135i | \(-0.445048\pi\) | ||||
0.171779 | + | 0.985135i | \(0.445048\pi\) | |||||||
\(164\) | 80.8332 | − | 46.6690i | 0.492885 | − | 0.284567i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 84.0000 | − | 145.492i | 0.506024 | − | 0.876459i | ||||
\(167\) | 29.3939 | + | 16.9706i | 0.176011 | + | 0.101620i | 0.585417 | − | 0.810732i | \(-0.300931\pi\) |
−0.409406 | + | 0.912352i | \(0.634264\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 52.5000 | + | 90.9327i | 0.310651 | + | 0.538063i | ||||
\(170\) | 76.3675i | 0.449221i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 80.0000 | 0.465116 | ||||||||
\(173\) | 150.644 | − | 86.9741i | 0.870772 | − | 0.502741i | 0.00316754 | − | 0.999995i | \(-0.498992\pi\) |
0.867605 | + | 0.497254i | \(0.165658\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14.0000 | − | 24.2487i | 0.0800000 | − | 0.138564i | ||||
\(176\) | 58.7878 | + | 33.9411i | 0.334021 | + | 0.192847i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.00000 | + | 15.5885i | 0.0505618 | + | 0.0875756i | ||||
\(179\) | 203.647i | 1.13769i | 0.822444 | + | 0.568846i | \(0.192610\pi\) | ||||
−0.822444 | + | 0.568846i | \(0.807390\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −232.000 | −1.28177 | −0.640884 | − | 0.767638i | \(-0.721432\pi\) | ||||
−0.640884 | + | 0.767638i | \(0.721432\pi\) | |||||||
\(182\) | 39.1918 | − | 22.6274i | 0.215340 | − | 0.124326i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 24.0000 | − | 41.5692i | 0.130435 | − | 0.225920i | ||||
\(185\) | 124.924 | + | 72.1249i | 0.675265 | + | 0.389864i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −108.000 | − | 187.061i | −0.577540 | − | 1.00033i | ||||
\(188\) | − | 169.706i | − | 0.902690i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −96.0000 | −0.505263 | ||||||||
\(191\) | 29.3939 | − | 16.9706i | 0.153895 | − | 0.0888511i | −0.421075 | − | 0.907026i | \(-0.638347\pi\) |
0.574970 | + | 0.818175i | \(0.305014\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −103.000 | + | 178.401i | −0.533679 | + | 0.924359i | 0.465547 | + | 0.885023i | \(0.345858\pi\) |
−0.999226 | + | 0.0393357i | \(0.987476\pi\) | |||||||
\(194\) | 215.555 | + | 124.451i | 1.11111 | + | 0.641499i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −33.0000 | − | 57.1577i | −0.168367 | − | 0.291621i | ||||
\(197\) | − | 165.463i | − | 0.839914i | −0.907544 | − | 0.419957i | \(-0.862045\pi\) | ||
0.907544 | − | 0.419957i | \(-0.137955\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 20.0000 | 0.100503 | 0.0502513 | − | 0.998737i | \(-0.483998\pi\) | ||||
0.0502513 | + | 0.998737i | \(0.483998\pi\) | |||||||
\(200\) | 17.1464 | − | 9.89949i | 0.0857321 | − | 0.0494975i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 21.0000 | − | 36.3731i | 0.103960 | − | 0.180065i | ||||
\(203\) | −14.6969 | − | 8.48528i | −0.0723987 | − | 0.0417994i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −99.0000 | − | 171.473i | −0.482927 | − | 0.836454i | ||||
\(206\) | 39.5980i | 0.192223i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 32.0000 | 0.153846 | ||||||||
\(209\) | 235.151 | − | 135.765i | 1.12512 | − | 0.649591i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −148.000 | + | 256.344i | −0.701422 | + | 1.21490i | 0.266546 | + | 0.963822i | \(0.414118\pi\) |
−0.967967 | + | 0.251076i | \(0.919216\pi\) | |||||||
\(212\) | −66.1362 | − | 38.1838i | −0.311963 | − | 0.180112i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | − | 169.706i | − | 0.789328i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −176.000 | −0.811060 | ||||||||
\(218\) | −68.5857 | + | 39.5980i | −0.314613 | + | 0.181642i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 72.0000 | − | 124.708i | 0.327273 | − | 0.566853i | ||||
\(221\) | −88.1816 | − | 50.9117i | −0.399012 | − | 0.230370i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 218.000 | + | 377.587i | 0.977578 | + | 1.69322i | 0.671149 | + | 0.741322i | \(0.265801\pi\) |
0.306429 | + | 0.951894i | \(0.400866\pi\) | |||||||
\(224\) | 22.6274i | 0.101015i | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 222.000 | 0.982301 | ||||||||
\(227\) | −14.6969 | + | 8.48528i | −0.0647442 | + | 0.0373801i | −0.532023 | − | 0.846730i | \(-0.678568\pi\) |
0.467278 | + | 0.884110i | \(0.345235\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.00000 | + | 6.92820i | −0.0174672 | + | 0.0302542i | −0.874627 | − | 0.484797i | \(-0.838894\pi\) |
0.857160 | + | 0.515051i | \(0.172227\pi\) | |||||||
\(230\) | −88.1816 | − | 50.9117i | −0.383398 | − | 0.221355i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.00000 | − | 10.3923i | −0.0258621 | − | 0.0447944i | ||||
\(233\) | 12.7279i | 0.0546263i | 0.999627 | + | 0.0273131i | \(0.00869512\pi\) | ||||
−0.999627 | + | 0.0273131i | \(0.991305\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −360.000 | −1.53191 | ||||||||
\(236\) | 58.7878 | − | 33.9411i | 0.249101 | − | 0.143818i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 36.0000 | − | 62.3538i | 0.151261 | − | 0.261991i | ||||
\(239\) | 117.576 | + | 67.8823i | 0.491948 | + | 0.284026i | 0.725382 | − | 0.688346i | \(-0.241663\pi\) |
−0.233434 | + | 0.972373i | \(0.574996\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.0000 | − | 27.7128i | −0.0663900 | − | 0.114991i | 0.830920 | − | 0.556392i | \(-0.187815\pi\) |
−0.897310 | + | 0.441401i | \(0.854481\pi\) | |||||||
\(242\) | 236.174i | 0.975924i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −100.000 | −0.409836 | ||||||||
\(245\) | −121.250 | + | 70.0036i | −0.494897 | + | 0.285729i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 64.0000 | − | 110.851i | 0.259109 | − | 0.448790i | ||||
\(248\) | −107.778 | − | 62.2254i | −0.434587 | − | 0.250909i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −96.0000 | − | 166.277i | −0.384000 | − | 0.665108i | ||||
\(251\) | − | 50.9117i | − | 0.202835i | −0.994844 | − | 0.101418i | \(-0.967662\pi\) | ||
0.994844 | − | 0.101418i | \(-0.0323379\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 288.000 | 1.13834 | ||||||||
\(254\) | −112.677 | + | 65.0538i | −0.443608 | + | 0.256117i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −157.992 | − | 91.2168i | −0.614755 | − | 0.354929i | 0.160069 | − | 0.987106i | \(-0.448828\pi\) |
−0.774824 | + | 0.632177i | \(0.782162\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −68.0000 | − | 117.779i | −0.262548 | − | 0.454747i | ||||
\(260\) | − | 67.8823i | − | 0.261086i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 240.000 | 0.916031 | ||||||||
\(263\) | −323.333 | + | 186.676i | −1.22940 | + | 0.709795i | −0.966905 | − | 0.255137i | \(-0.917879\pi\) |
−0.262497 | + | 0.964933i | \(0.584546\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −81.0000 | + | 140.296i | −0.305660 | + | 0.529419i | ||||
\(266\) | 78.3837 | + | 45.2548i | 0.294675 | + | 0.170131i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.00000 | + | 13.8564i | 0.0298507 | + | 0.0517030i | ||||
\(269\) | 343.654i | 1.27752i | 0.769404 | + | 0.638762i | \(0.220553\pi\) | ||||
−0.769404 | + | 0.638762i | \(0.779447\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 380.000 | 1.40221 | 0.701107 | − | 0.713056i | \(-0.252690\pi\) | ||||
0.701107 | + | 0.713056i | \(0.252690\pi\) | |||||||
\(272\) | 44.0908 | − | 25.4558i | 0.162099 | − | 0.0935877i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 111.000 | − | 192.258i | 0.405109 | − | 0.701670i | ||||
\(275\) | 102.879 | + | 59.3970i | 0.374104 | + | 0.215989i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 164.000 | + | 284.056i | 0.592058 | + | 1.02547i | 0.993955 | + | 0.109789i | \(0.0350176\pi\) |
−0.401897 | + | 0.915685i | \(0.631649\pi\) | |||||||
\(278\) | − | 214.960i | − | 0.773239i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 48.0000 | 0.171429 | ||||||||
\(281\) | −246.174 | + | 142.128i | −0.876063 | + | 0.505795i | −0.869358 | − | 0.494182i | \(-0.835468\pi\) |
−0.00670475 | + | 0.999978i | \(0.502134\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 104.000 | − | 180.133i | 0.367491 | − | 0.636513i | −0.621681 | − | 0.783270i | \(-0.713550\pi\) |
0.989173 | + | 0.146757i | \(0.0468835\pi\) | |||||||
\(284\) | 88.1816 | + | 50.9117i | 0.310499 | + | 0.179267i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 96.0000 | + | 166.277i | 0.335664 | + | 0.581388i | ||||
\(287\) | 186.676i | 0.650440i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 127.000 | 0.439446 | ||||||||
\(290\) | −22.0454 | + | 12.7279i | −0.0760186 | + | 0.0438894i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −16.0000 | + | 27.7128i | −0.0547945 | + | 0.0949069i | ||||
\(293\) | −378.446 | − | 218.496i | −1.29163 | − | 0.745720i | −0.312683 | − | 0.949858i | \(-0.601228\pi\) |
−0.978942 | + | 0.204137i | \(0.934561\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −72.0000 | − | 124.708i | −0.244068 | − | 0.422738i | ||||
\(296\) | − | 96.1665i | − | 0.324887i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −390.000 | −1.30872 | ||||||||
\(299\) | 117.576 | − | 67.8823i | 0.393229 | − | 0.227031i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −80.0000 | + | 138.564i | −0.265781 | + | 0.460346i | ||||
\(302\) | −181.262 | − | 104.652i | −0.600206 | − | 0.346529i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 32.0000 | + | 55.4256i | 0.105263 | + | 0.182321i | ||||
\(305\) | 212.132i | 0.695515i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −520.000 | −1.69381 | −0.846906 | − | 0.531743i | \(-0.821537\pi\) | ||||
−0.846906 | + | 0.531743i | \(0.821537\pi\) | |||||||
\(308\) | −117.576 | + | 67.8823i | −0.381739 | + | 0.220397i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −132.000 | + | 228.631i | −0.425806 | + | 0.737518i | ||||
\(311\) | −323.333 | − | 186.676i | −1.03965 | − | 0.600245i | −0.119919 | − | 0.992784i | \(-0.538264\pi\) |
−0.919736 | + | 0.392539i | \(0.871597\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 47.0000 | + | 81.4064i | 0.150160 | + | 0.260084i | 0.931286 | − | 0.364289i | \(-0.118688\pi\) |
−0.781126 | + | 0.624373i | \(0.785355\pi\) | |||||||
\(314\) | 115.966i | 0.369317i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 152.000 | 0.481013 | ||||||||
\(317\) | −290.265 | + | 167.584i | −0.915661 | + | 0.528657i | −0.882248 | − | 0.470785i | \(-0.843971\pi\) |
−0.0334128 | + | 0.999442i | \(0.510638\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 36.0000 | − | 62.3538i | 0.112853 | − | 0.195467i | ||||
\(320\) | 29.3939 | + | 16.9706i | 0.0918559 | + | 0.0530330i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 48.0000 | + | 83.1384i | 0.149068 | + | 0.258194i | ||||
\(323\) | − | 203.647i | − | 0.630485i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 56.0000 | 0.172308 | ||||||||
\(326\) | −68.5857 | + | 39.5980i | −0.210386 | + | 0.121466i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −66.0000 | + | 114.315i | −0.201220 | + | 0.348522i | ||||
\(329\) | 293.939 | + | 169.706i | 0.893431 | + | 0.515823i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −268.000 | − | 464.190i | −0.809668 | − | 1.40239i | −0.913094 | − | 0.407748i | \(-0.866314\pi\) |
0.103427 | − | 0.994637i | \(-0.467019\pi\) | |||||||
\(332\) | 237.588i | 0.715626i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −48.0000 | −0.143713 | ||||||||
\(335\) | 29.3939 | − | 16.9706i | 0.0877429 | − | 0.0506584i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 104.000 | − | 180.133i | 0.308605 | − | 0.534520i | −0.669452 | − | 0.742855i | \(-0.733471\pi\) |
0.978058 | + | 0.208335i | \(0.0668044\pi\) | |||||||
\(338\) | −128.598 | − | 74.2462i | −0.380468 | − | 0.219663i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −54.0000 | − | 93.5307i | −0.158824 | − | 0.275090i | ||||
\(341\) | − | 746.705i | − | 2.18975i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 328.000 | 0.956268 | ||||||||
\(344\) | −97.9796 | + | 56.5685i | −0.284824 | + | 0.164443i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −123.000 | + | 213.042i | −0.355491 | + | 0.615729i | ||||
\(347\) | 249.848 | + | 144.250i | 0.720023 | + | 0.415705i | 0.814761 | − | 0.579797i | \(-0.196868\pi\) |
−0.0947382 | + | 0.995502i | \(0.530201\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 119.000 | + | 206.114i | 0.340974 | + | 0.590585i | 0.984614 | − | 0.174744i | \(-0.0559098\pi\) |
−0.643640 | + | 0.765329i | \(0.722576\pi\) | |||||||
\(350\) | 39.5980i | 0.113137i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −96.0000 | −0.272727 | ||||||||
\(353\) | 194.734 | − | 112.430i | 0.551656 | − | 0.318499i | −0.198134 | − | 0.980175i | \(-0.563488\pi\) |
0.749789 | + | 0.661676i | \(0.230155\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 108.000 | − | 187.061i | 0.304225 | − | 0.526934i | ||||
\(356\) | −22.0454 | − | 12.7279i | −0.0619253 | − | 0.0357526i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −144.000 | − | 249.415i | −0.402235 | − | 0.696691i | ||||
\(359\) | 560.029i | 1.55997i | 0.625799 | + | 0.779984i | \(0.284773\pi\) | ||||
−0.625799 | + | 0.779984i | \(0.715227\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −105.000 | −0.290859 | ||||||||
\(362\) | 284.141 | − | 164.049i | 0.784919 | − | 0.453173i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −32.0000 | + | 55.4256i | −0.0879121 | + | 0.152268i | ||||
\(365\) | 58.7878 | + | 33.9411i | 0.161062 | + | 0.0929894i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −142.000 | − | 245.951i | −0.386921 | − | 0.670167i | 0.605113 | − | 0.796140i | \(-0.293128\pi\) |
−0.992034 | + | 0.125973i | \(0.959795\pi\) | |||||||
\(368\) | 67.8823i | 0.184463i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −204.000 | −0.551351 | ||||||||
\(371\) | 132.272 | − | 76.3675i | 0.356530 | − | 0.205842i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 95.0000 | − | 164.545i | 0.254692 | − | 0.441139i | −0.710120 | − | 0.704081i | \(-0.751359\pi\) |
0.964812 | + | 0.262942i | \(0.0846927\pi\) | |||||||
\(374\) | 264.545 | + | 152.735i | 0.707339 | + | 0.408383i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 120.000 | + | 207.846i | 0.319149 | + | 0.552782i | ||||
\(377\) | − | 33.9411i | − | 0.0900295i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −160.000 | −0.422164 | −0.211082 | − | 0.977468i | \(-0.567699\pi\) | ||||
−0.211082 | + | 0.977468i | \(0.567699\pi\) | |||||||
\(380\) | 117.576 | − | 67.8823i | 0.309409 | − | 0.178638i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −24.0000 | + | 41.5692i | −0.0628272 | + | 0.108820i | ||||
\(383\) | −235.151 | − | 135.765i | −0.613971 | − | 0.354477i | 0.160547 | − | 0.987028i | \(-0.448674\pi\) |
−0.774518 | + | 0.632552i | \(0.782008\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 144.000 | + | 249.415i | 0.374026 | + | 0.647832i | ||||
\(386\) | − | 291.328i | − | 0.754736i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −352.000 | −0.907216 | ||||||||
\(389\) | 349.052 | − | 201.525i | 0.897307 | − | 0.518060i | 0.0209813 | − | 0.999780i | \(-0.493321\pi\) |
0.876325 | + | 0.481720i | \(0.159988\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 108.000 | − | 187.061i | 0.276215 | − | 0.478418i | ||||
\(392\) | 80.8332 | + | 46.6690i | 0.206207 | + | 0.119054i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 117.000 | + | 202.650i | 0.296954 | + | 0.514340i | ||||
\(395\) | − | 322.441i | − | 0.816306i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 146.000 | 0.367758 | 0.183879 | − | 0.982949i | \(-0.441135\pi\) | ||||
0.183879 | + | 0.982949i | \(0.441135\pi\) | |||||||
\(398\) | −24.4949 | + | 14.1421i | −0.0615450 | + | 0.0355330i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.0000 | + | 24.2487i | −0.0350000 | + | 0.0606218i | ||||
\(401\) | 282.916 | + | 163.342i | 0.705526 | + | 0.407336i | 0.809402 | − | 0.587254i | \(-0.199791\pi\) |
−0.103876 | + | 0.994590i | \(0.533125\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −176.000 | − | 304.841i | −0.436725 | − | 0.756429i | ||||
\(404\) | 59.3970i | 0.147022i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 24.0000 | 0.0591133 | ||||||||
\(407\) | 499.696 | − | 288.500i | 1.22775 | − | 0.708844i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −184.000 | + | 318.697i | −0.449878 | + | 0.779211i | −0.998378 | − | 0.0569395i | \(-0.981866\pi\) |
0.548500 | + | 0.836151i | \(0.315199\pi\) | |||||||
\(410\) | 242.499 | + | 140.007i | 0.591462 | + | 0.341481i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −28.0000 | − | 48.4974i | −0.0679612 | − | 0.117712i | ||||
\(413\) | 135.765i | 0.328728i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 504.000 | 1.21446 | ||||||||
\(416\) | −39.1918 | + | 22.6274i | −0.0942111 | + | 0.0543928i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −192.000 | + | 332.554i | −0.459330 | + | 0.795583i | ||||
\(419\) | 338.030 | + | 195.161i | 0.806753 | + | 0.465779i | 0.845827 | − | 0.533457i | \(-0.179107\pi\) |
−0.0390739 | + | 0.999236i | \(0.512441\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.0000 | + | 34.6410i | 0.0475059 | + | 0.0822827i | 0.888801 | − | 0.458294i | \(-0.151539\pi\) |
−0.841295 | + | 0.540577i | \(0.818206\pi\) | |||||||
\(422\) | − | 418.607i | − | 0.991960i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 108.000 | 0.254717 | ||||||||
\(425\) | 77.1589 | − | 44.5477i | 0.181550 | − | 0.104818i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 100.000 | − | 173.205i | 0.234192 | − | 0.405633i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 120.000 | + | 207.846i | 0.279070 | + | 0.483363i | ||||
\(431\) | 152.735i | 0.354374i | 0.984177 | + | 0.177187i | \(0.0566997\pi\) | ||||
−0.984177 | + | 0.177187i | \(0.943300\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 542.000 | 1.25173 | 0.625866 | − | 0.779931i | \(-0.284746\pi\) | ||||
0.625866 | + | 0.779931i | \(0.284746\pi\) | |||||||
\(434\) | 215.555 | − | 124.451i | 0.496671 | − | 0.286753i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 56.0000 | − | 96.9948i | 0.128440 | − | 0.222465i | ||||
\(437\) | 235.151 | + | 135.765i | 0.538103 | + | 0.310674i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.00000 | + | 3.46410i | 0.00455581 | + | 0.00789089i | 0.868294 | − | 0.496049i | \(-0.165217\pi\) |
−0.863739 | + | 0.503940i | \(0.831883\pi\) | |||||||
\(440\) | 203.647i | 0.462834i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 144.000 | 0.325792 | ||||||||
\(443\) | −279.242 | + | 161.220i | −0.630343 | + | 0.363929i | −0.780885 | − | 0.624675i | \(-0.785231\pi\) |
0.150542 | + | 0.988604i | \(0.451898\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −27.0000 | + | 46.7654i | −0.0606742 | + | 0.105091i | ||||
\(446\) | −533.989 | − | 308.299i | −1.19728 | − | 0.691252i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.0000 | − | 27.7128i | −0.0357143 | − | 0.0618590i | ||||
\(449\) | − | 216.375i | − | 0.481904i | −0.970537 | − | 0.240952i | \(-0.922540\pi\) | ||
0.970537 | − | 0.240952i | \(-0.0774596\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −792.000 | −1.75610 | ||||||||
\(452\) | −271.893 | + | 156.978i | −0.601534 | + | 0.347296i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.0000 | − | 20.7846i | 0.0264317 | − | 0.0457811i | ||||
\(455\) | 117.576 | + | 67.8823i | 0.258408 | + | 0.149192i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 200.000 | + | 346.410i | 0.437637 | + | 0.758009i | 0.997507 | − | 0.0705714i | \(-0.0224823\pi\) |
−0.559870 | + | 0.828580i | \(0.689149\pi\) | |||||||
\(458\) | − | 11.3137i | − | 0.0247024i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 144.000 | 0.313043 | ||||||||
\(461\) | 260.871 | − | 150.614i | 0.565880 | − | 0.326711i | −0.189622 | − | 0.981857i | \(-0.560726\pi\) |
0.755502 | + | 0.655146i | \(0.227393\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 302.000 | − | 523.079i | 0.652268 | − | 1.12976i | −0.330303 | − | 0.943875i | \(-0.607151\pi\) |
0.982571 | − | 0.185886i | \(-0.0595156\pi\) | |||||||
\(464\) | 14.6969 | + | 8.48528i | 0.0316744 | + | 0.0182872i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.00000 | − | 15.5885i | −0.0193133 | − | 0.0334516i | ||||
\(467\) | − | 356.382i | − | 0.763130i | −0.924342 | − | 0.381565i | \(-0.875385\pi\) | ||
0.924342 | − | 0.381565i | \(-0.124615\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.0000 | −0.0682303 | ||||||||
\(470\) | 440.908 | − | 254.558i | 0.938102 | − | 0.541614i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −48.0000 | + | 83.1384i | −0.101695 | + | 0.176141i | ||||
\(473\) | −587.878 | − | 339.411i | −1.24287 | − | 0.717571i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 56.0000 | + | 96.9948i | 0.117895 | + | 0.204200i | ||||
\(476\) | 101.823i | 0.213915i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −192.000 | −0.401674 | ||||||||
\(479\) | −455.605 | + | 263.044i | −0.951159 | + | 0.549152i | −0.893441 | − | 0.449181i | \(-0.851716\pi\) |
−0.0577181 | + | 0.998333i | \(0.518382\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 136.000 | − | 235.559i | 0.282744 | − | 0.489727i | ||||
\(482\) | 39.1918 | + | 22.6274i | 0.0813109 | + | 0.0469448i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −167.000 | − | 289.252i | −0.345041 | − | 0.597629i | ||||
\(485\) | 746.705i | 1.53960i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 596.000 | 1.22382 | 0.611910 | − | 0.790928i | \(-0.290402\pi\) | ||||
0.611910 | + | 0.790928i | \(0.290402\pi\) | |||||||
\(488\) | 122.474 | − | 70.7107i | 0.250972 | − | 0.144899i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 99.0000 | − | 171.473i | 0.202041 | − | 0.349945i | ||||
\(491\) | −235.151 | − | 135.765i | −0.478923 | − | 0.276506i | 0.241045 | − | 0.970514i | \(-0.422510\pi\) |
−0.719967 | + | 0.694008i | \(0.755843\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.0000 | − | 46.7654i | −0.0547667 | − | 0.0948588i | ||||
\(494\) | 181.019i | 0.366436i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 176.000 | 0.354839 | ||||||||
\(497\) | −176.363 | + | 101.823i | −0.354856 | + | 0.204876i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −112.000 | + | 193.990i | −0.224449 | + | 0.388757i | −0.956154 | − | 0.292864i | \(-0.905392\pi\) |
0.731705 | + | 0.681621i | \(0.238725\pi\) | |||||||
\(500\) | 235.151 | + | 135.765i | 0.470302 | + | 0.271529i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 36.0000 | + | 62.3538i | 0.0717131 | + | 0.124211i | ||||
\(503\) | − | 865.499i | − | 1.72067i | −0.509726 | − | 0.860337i | \(-0.670253\pi\) | ||
0.509726 | − | 0.860337i | \(-0.329747\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 126.000 | 0.249505 | ||||||||
\(506\) | −352.727 | + | 203.647i | −0.697088 | + | 0.402464i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 92.0000 | − | 159.349i | 0.181102 | − | 0.313678i | ||||
\(509\) | 415.189 | + | 239.709i | 0.815695 | + | 0.470941i | 0.848929 | − | 0.528506i | \(-0.177248\pi\) |
−0.0332350 | + | 0.999448i | \(0.510581\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −32.0000 | − | 55.4256i | −0.0626223 | − | 0.108465i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 258.000 | 0.501946 | ||||||||
\(515\) | −102.879 | + | 59.3970i | −0.199764 | + | 0.115334i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −720.000 | + | 1247.08i | −1.39265 | + | 2.41214i | ||||
\(518\) | 166.565 | + | 96.1665i | 0.321555 | + | 0.185650i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 48.0000 | + | 83.1384i | 0.0923077 | + | 0.159882i | ||||
\(521\) | 521.845i | 1.00162i | 0.865557 | + | 0.500811i | \(0.166965\pi\) | ||||
−0.865557 | + | 0.500811i | \(0.833035\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −736.000 | −1.40727 | −0.703633 | − | 0.710564i | \(-0.748440\pi\) | ||||
−0.703633 | + | 0.710564i | \(0.748440\pi\) | |||||||
\(524\) | −293.939 | + | 169.706i | −0.560952 | + | 0.323866i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 264.000 | − | 457.261i | 0.501901 | − | 0.869318i | ||||
\(527\) | −484.999 | − | 280.014i | −0.920302 | − | 0.531336i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −120.500 | − | 208.712i | −0.227788 | − | 0.394541i | ||||
\(530\) | − | 229.103i | − | 0.432269i | ||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −128.000 | −0.240602 | ||||||||
\(533\) | −323.333 | + | 186.676i | −0.606628 | + | 0.350237i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −19.5959 | − | 11.3137i | −0.0365595 | − | 0.0211077i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −243.000 | − | 420.888i | −0.451673 | − | 0.782320i | ||||
\(539\) | 560.029i | 1.03901i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −808.000 | −1.49353 | −0.746765 | − | 0.665088i | \(-0.768394\pi\) | ||||
−0.746765 | + | 0.665088i | \(0.768394\pi\) | |||||||
\(542\) | −465.403 | + | 268.701i | −0.858677 | + | 0.495758i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −36.0000 | + | 62.3538i | −0.0661765 | + | 0.114621i | ||||
\(545\) | −205.757 | − | 118.794i | −0.377536 | − | 0.217971i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −268.000 | − | 464.190i | −0.489945 | − | 0.848610i | 0.509988 | − | 0.860182i | \(-0.329650\pi\) |
−0.999933 | + | 0.0115717i | \(0.996317\pi\) | |||||||
\(548\) | 313.955i | 0.572911i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −168.000 | −0.305455 | ||||||||
\(551\) | 58.7878 | − | 33.9411i | 0.106693 | − | 0.0615991i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −152.000 | + | 263.272i | −0.274864 | + | 0.476079i | ||||
\(554\) | −401.716 | − | 231.931i | −0.725120 | − | 0.418648i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 152.000 | + | 263.272i | 0.273381 | + | 0.473510i | ||||
\(557\) | 165.463i | 0.297061i | 0.988908 | + | 0.148531i | \(0.0474543\pi\) | ||||
−0.988908 | + | 0.148531i | \(0.952546\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −320.000 | −0.572451 | ||||||||
\(560\) | −58.7878 | + | 33.9411i | −0.104978 | + | 0.0606092i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 201.000 | − | 348.142i | 0.357651 | − | 0.619470i | ||||
\(563\) | −279.242 | − | 161.220i | −0.495989 | − | 0.286359i | 0.231067 | − | 0.972938i | \(-0.425778\pi\) |
−0.727056 | + | 0.686579i | \(0.759112\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 333.000 | + | 576.773i | 0.589381 | + | 1.02084i | ||||
\(566\) | 294.156i | 0.519711i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −144.000 | −0.253521 | ||||||||
\(569\) | −135.947 | + | 78.4889i | −0.238922 | + | 0.137942i | −0.614681 | − | 0.788776i | \(-0.710715\pi\) |
0.375759 | + | 0.926717i | \(0.377382\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −184.000 | + | 318.697i | −0.322242 | + | 0.558139i | −0.980950 | − | 0.194259i | \(-0.937770\pi\) |
0.658709 | + | 0.752398i | \(0.271103\pi\) | |||||||
\(572\) | −235.151 | − | 135.765i | −0.411103 | − | 0.237351i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −132.000 | − | 228.631i | −0.229965 | − | 0.398311i | ||||
\(575\) | 118.794i | 0.206598i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −142.000 | −0.246101 | −0.123050 | − | 0.992400i | \(-0.539268\pi\) | ||||
−0.123050 | + | 0.992400i | \(0.539268\pi\) | |||||||
\(578\) | −155.543 | + | 89.8026i | −0.269105 | + | 0.155368i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 18.0000 | − | 31.1769i | 0.0310345 | − | 0.0537533i | ||||
\(581\) | −411.514 | − | 237.588i | −0.708286 | − | 0.408929i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 324.000 | + | 561.184i | 0.555746 | + | 0.962581i | ||||
\(584\) | − | 45.2548i | − | 0.0774912i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 618.000 | 1.05461 | ||||||||
\(587\) | −323.333 | + | 186.676i | −0.550822 | + | 0.318017i | −0.749454 | − | 0.662057i | \(-0.769684\pi\) |
0.198631 | + | 0.980074i | \(0.436350\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 352.000 | − | 609.682i | 0.597623 | − | 1.03511i | ||||
\(590\) | 176.363 | + | 101.823i | 0.298921 | + | 0.172582i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 68.0000 | + | 117.779i | 0.114865 | + | 0.198952i | ||||
\(593\) | − | 1107.33i | − | 1.86733i | −0.358142 | − | 0.933667i | \(-0.616590\pi\) | ||
0.358142 | − | 0.933667i | \(-0.383410\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 216.000 | 0.363025 | ||||||||
\(596\) | 477.650 | − | 275.772i | 0.801427 | − | 0.462704i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −96.0000 | + | 166.277i | −0.160535 | + | 0.278055i | ||||
\(599\) | 690.756 | + | 398.808i | 1.15318 | + | 0.665790i | 0.949661 | − | 0.313280i | \(-0.101428\pi\) |
0.203521 | + | 0.979070i | \(0.434761\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −79.0000 | − | 136.832i | −0.131448 | − | 0.227674i | 0.792787 | − | 0.609499i | \(-0.208629\pi\) |
−0.924235 | + | 0.381825i | \(0.875296\pi\) | |||||||
\(602\) | − | 226.274i | − | 0.375871i | ||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 296.000 | 0.490066 | ||||||||
\(605\) | −613.597 | + | 354.260i | −1.01421 | + | 0.585555i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −166.000 | + | 287.520i | −0.273476 | + | 0.473675i | −0.969750 | − | 0.244102i | \(-0.921507\pi\) |
0.696273 | + | 0.717777i | \(0.254840\pi\) | |||||||
\(608\) | −78.3837 | − | 45.2548i | −0.128921 | − | 0.0744323i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −150.000 | − | 259.808i | −0.245902 | − | 0.425914i | ||||
\(611\) | 678.823i | 1.11100i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 578.000 | 0.942904 | 0.471452 | − | 0.881892i | \(-0.343730\pi\) | ||||
0.471452 | + | 0.881892i | \(0.343730\pi\) | |||||||
\(614\) | 636.867 | − | 367.696i | 1.03724 | − | 0.598853i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 96.0000 | − | 166.277i | 0.155844 | − | 0.269930i | ||||
\(617\) | −47.7650 | − | 27.5772i | −0.0774150 | − | 0.0446956i | 0.460793 | − | 0.887508i | \(-0.347565\pi\) |
−0.538208 | + | 0.842812i | \(0.680898\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −448.000 | − | 775.959i | −0.723748 | − | 1.25357i | −0.959487 | − | 0.281752i | \(-0.909084\pi\) |
0.235739 | − | 0.971816i | \(-0.424249\pi\) | |||||||
\(620\) | − | 373.352i | − | 0.602181i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 528.000 | 0.848875 | ||||||||
\(623\) | 44.0908 | − | 25.4558i | 0.0707718 | − | 0.0408601i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 200.500 | − | 347.276i | 0.320800 | − | 0.555642i | ||||
\(626\) | −115.126 | − | 66.4680i | −0.183907 | − | 0.106179i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −82.0000 | − | 142.028i | −0.130573 | − | 0.226160i | ||||
\(629\) | − | 432.749i | − | 0.687996i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 20.0000 | 0.0316957 | 0.0158479 | − | 0.999874i | \(-0.494955\pi\) | ||||
0.0158479 | + | 0.999874i | \(0.494955\pi\) | |||||||
\(632\) | −186.161 | + | 107.480i | −0.294559 | + | 0.170064i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 237.000 | − | 410.496i | 0.373817 | − | 0.647470i | ||||
\(635\) | −338.030 | − | 195.161i | −0.532330 | − | 0.307341i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 132.000 | + | 228.631i | 0.207221 | + | 0.358918i | ||||
\(638\) | 101.823i | 0.159598i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −48.0000 | −0.0750000 | ||||||||
\(641\) | −224.128 | + | 129.401i | −0.349654 | + | 0.201873i | −0.664533 | − | 0.747259i | \(-0.731369\pi\) |
0.314879 | + | 0.949132i | \(0.398036\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −364.000 | + | 630.466i | −0.566096 | + | 0.980508i | 0.430850 | + | 0.902423i | \(0.358214\pi\) |
−0.996947 | + | 0.0780844i | \(0.975120\pi\) | |||||||
\(644\) | −117.576 | − | 67.8823i | −0.182571 | − | 0.105407i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 144.000 | + | 249.415i | 0.222910 | + | 0.386092i | ||||
\(647\) | 458.205i | 0.708200i | 0.935208 | + | 0.354100i | \(0.115213\pi\) | ||||
−0.935208 | + | 0.354100i | \(0.884787\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −576.000 | −0.887519 | ||||||||
\(650\) | −68.5857 | + | 39.5980i | −0.105516 | + | 0.0609200i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 56.0000 | − | 96.9948i | 0.0858896 | − | 0.148765i | ||||
\(653\) | 260.871 | + | 150.614i | 0.399496 | + | 0.230649i | 0.686266 | − | 0.727350i | \(-0.259248\pi\) |
−0.286771 | + | 0.957999i | \(0.592582\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 360.000 | + | 623.538i | 0.549618 | + | 0.951967i | ||||
\(656\) | − | 186.676i | − | 0.284567i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −480.000 | −0.729483 | ||||||||
\(659\) | 911.210 | − | 526.087i | 1.38272 | − | 0.798312i | 0.390236 | − | 0.920715i | \(-0.372393\pi\) |
0.992480 | + | 0.122403i | \(0.0390601\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.0000 | + | 53.6936i | −0.0468986 | + | 0.0812308i | −0.888522 | − | 0.458834i | \(-0.848267\pi\) |
0.841623 | + | 0.540065i | \(0.181600\pi\) | |||||||
\(662\) | 656.463 | + | 379.009i | 0.991636 | + | 0.572522i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −168.000 | − | 290.985i | −0.253012 | − | 0.438230i | ||||
\(665\) | 271.529i | 0.408314i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 72.0000 | 0.107946 | ||||||||
\(668\) | 58.7878 | − | 33.9411i | 0.0880056 | − | 0.0508101i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −24.0000 | + | 41.5692i | −0.0358209 | + | 0.0620436i | ||||
\(671\) | 734.847 | + | 424.264i | 1.09515 | + | 0.632286i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 335.000 | + | 580.237i | 0.497771 | + | 0.862165i | 0.999997 | − | 0.00257172i | \(-0.000818604\pi\) |
−0.502226 | + | 0.864737i | \(0.667485\pi\) | |||||||
\(674\) | 294.156i | 0.436434i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 210.000 | 0.310651 | ||||||||
\(677\) | 1120.64 | − | 647.003i | 1.65531 | − | 0.955691i | 0.680466 | − | 0.732779i | \(-0.261777\pi\) |
0.974839 | − | 0.222912i | \(-0.0715561\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 352.000 | − | 609.682i | 0.518409 | − | 0.897911i | ||||
\(680\) | 132.272 | + | 76.3675i | 0.194518 | + | 0.112305i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 528.000 | + | 914.523i | 0.774194 | + | 1.34094i | ||||
\(683\) | 560.029i | 0.819954i | 0.912096 | + | 0.409977i | \(0.134463\pi\) | ||||
−0.912096 | + | 0.409977i | \(0.865537\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 666.000 | 0.972263 | ||||||||
\(686\) | −401.716 | + | 231.931i | −0.585592 | + | 0.338092i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 80.0000 | − | 138.564i | 0.116279 | − | 0.201401i | ||||
\(689\) | 264.545 | + | 152.735i | 0.383955 | + | 0.221676i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.0000 | + | 34.6410i | 0.0289436 | + | 0.0501317i | 0.880134 | − | 0.474725i | \(-0.157452\pi\) |
−0.851191 | + | 0.524856i | \(0.824119\pi\) | |||||||
\(692\) | − | 347.897i | − | 0.502741i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −408.000 | −0.587896 | ||||||||
\(695\) | 558.484 | − | 322.441i | 0.803574 | − | 0.463943i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −297.000 | + | 514.419i | −0.426112 | + | 0.738047i | ||||
\(698\) | −291.489 | − | 168.291i | −0.417606 | − | 0.241105i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −28.0000 | − | 48.4974i | −0.0400000 | − | 0.0692820i | ||||
\(701\) | − | 954.594i | − | 1.36176i | −0.732395 | − | 0.680880i | \(-0.761597\pi\) | ||
0.732395 | − | 0.680880i | \(-0.238403\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 544.000 | 0.773826 | ||||||||
\(704\) | 117.576 | − | 67.8823i | 0.167011 | − | 0.0964237i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −159.000 | + | 275.396i | −0.225212 | + | 0.390079i | ||||
\(707\) | −102.879 | − | 59.3970i | −0.145514 | − | 0.0840127i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −484.000 | − | 838.313i | −0.682652 | − | 1.18239i | −0.974169 | − | 0.225822i | \(-0.927493\pi\) |
0.291517 | − | 0.956566i | \(-0.405840\pi\) | |||||||
\(710\) | 305.470i | 0.430240i | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 36.0000 | 0.0505618 | ||||||||
\(713\) | 646.665 | − | 373.352i | 0.906964 | − | 0.523636i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −288.000 | + | 498.831i | −0.402797 | + | 0.697665i | ||||
\(716\) | 352.727 | + | 203.647i | 0.492635 | + | 0.284423i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −396.000 | − | 685.892i | −0.551532 | − | 0.955282i | ||||
\(719\) | − | 1170.97i | − | 1.62861i | −0.580439 | − | 0.814304i | \(-0.697119\pi\) | ||
0.580439 | − | 0.814304i | \(-0.302881\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 112.000 | 0.155340 | ||||||||
\(722\) | 128.598 | − | 74.2462i | 0.178114 | − | 0.102834i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −232.000 | + | 401.836i | −0.320442 | + | 0.555022i | ||||
\(725\) | 25.7196 | + | 14.8492i | 0.0354754 | + | 0.0204817i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 254.000 | + | 439.941i | 0.349381 | + | 0.605146i | 0.986140 | − | 0.165918i | \(-0.0530586\pi\) |
−0.636759 | + | 0.771063i | \(0.719725\pi\) | |||||||
\(728\) | − | 90.5097i | − | 0.124326i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −96.0000 | −0.131507 | ||||||||
\(731\) | −440.908 | + | 254.558i | −0.603158 | + | 0.348233i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 572.000 | − | 990.733i | 0.780355 | − | 1.35161i | −0.151380 | − | 0.988476i | \(-0.548372\pi\) |
0.931735 | − | 0.363138i | \(-0.118295\pi\) | |||||||
\(734\) | 347.828 | + | 200.818i | 0.473879 | + | 0.273594i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −48.0000 | − | 83.1384i | −0.0652174 | − | 0.112960i | ||||
\(737\) | − | 135.765i | − | 0.184212i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −304.000 | −0.411367 | −0.205683 | − | 0.978619i | \(-0.565942\pi\) | ||||
−0.205683 | + | 0.978619i | \(0.565942\pi\) | |||||||
\(740\) | 249.848 | − | 144.250i | 0.337632 | − | 0.194932i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −108.000 | + | 187.061i | −0.145553 | + | 0.252104i | ||||
\(743\) | 734.847 | + | 424.264i | 0.989027 | + | 0.571015i | 0.904983 | − | 0.425447i | \(-0.139883\pi\) |
0.0840436 | + | 0.996462i | \(0.473217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −585.000 | − | 1013.25i | −0.785235 | − | 1.36007i | ||||
\(746\) | 268.701i | 0.360188i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −432.000 | −0.577540 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −94.0000 | + | 162.813i | −0.125166 | + | 0.216795i | −0.921798 | − | 0.387671i | \(-0.873280\pi\) |
0.796632 | + | 0.604465i | \(0.206613\pi\) | |||||||
\(752\) | −293.939 | − | 169.706i | −0.390876 | − | 0.225672i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 24.0000 | + | 41.5692i | 0.0318302 | + | 0.0551316i | ||||
\(755\) | − | 627.911i | − | 0.831670i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1240.00 | −1.63804 | −0.819022 | − | 0.573761i | \(-0.805484\pi\) | ||||
−0.819022 | + | 0.573761i | \(0.805484\pi\) | |||||||
\(758\) | 195.959 | − | 113.137i | 0.258521 | − | 0.149257i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −96.0000 | + | 166.277i | −0.126316 | + | 0.218785i | ||||
\(761\) | −135.947 | − | 78.4889i | −0.178642 | − | 0.103139i | 0.408012 | − | 0.912976i | \(-0.366222\pi\) |
−0.586655 | + | 0.809837i | \(0.699555\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 112.000 | + | 193.990i | 0.146789 | + | 0.254246i | ||||
\(764\) | − | 67.8823i | − | 0.0888511i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 384.000 | 0.501305 | ||||||||
\(767\) | −235.151 | + | 135.765i | −0.306585 | + | 0.177007i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 455.000 | − | 788.083i | 0.591678 | − | 1.02482i | −0.402329 | − | 0.915495i | \(-0.631799\pi\) |
0.994007 | − | 0.109320i | \(-0.0348674\pi\) | |||||||
\(770\) | −352.727 | − | 203.647i | −0.458086 | − | 0.264476i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 206.000 | + | 356.802i | 0.266839 | + | 0.462179i | ||||
\(773\) | 1387.34i | 1.79475i | 0.441266 | + | 0.897376i | \(0.354529\pi\) | ||||
−0.441266 | + | 0.897376i | \(0.645471\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 308.000 | 0.397419 | ||||||||
\(776\) | 431.110 | − | 248.902i | 0.555554 | − | 0.320749i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −285.000 | + | 493.634i | −0.366324 | + | 0.634492i | ||||
\(779\) | −646.665 | − | 373.352i | −0.830122 | − | 0.479271i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −432.000 | − | 748.246i | −0.553137 | − | 0.958061i | ||||
\(782\) | 305.470i | 0.390627i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −132.000 | −0.168367 | ||||||||
\(785\) | −301.287 | + | 173.948i | −0.383805 | + | 0.221590i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 680.000 | − | 1177.79i | 0.864041 | − | 1.49656i | −0.00395593 | − | 0.999992i | \(-0.501259\pi\) |
0.867997 | − | 0.496570i | \(-0.165407\pi\) | |||||||
\(788\) | −286.590 | − | 165.463i | −0.363693 | − | 0.209978i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 228.000 | + | 394.908i | 0.288608 | + | 0.499883i | ||||
\(791\) | − | 627.911i | − | 0.793819i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 400.000 | 0.504414 | ||||||||
\(794\) | −178.813 | + | 103.238i | −0.225205 | + | 0.130022i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 20.0000 | − | 34.6410i | 0.0251256 | − | 0.0435189i | ||||
\(797\) | −91.8559 | − | 53.0330i | −0.115252 | − | 0.0665408i | 0.441266 | − | 0.897376i | \(-0.354530\pi\) |
−0.556518 | + | 0.830836i | \(0.687863\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 540.000 | + | 935.307i | 0.675845 | + | 1.17060i | ||||
\(800\) | − | 39.5980i | − | 0.0494975i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −462.000 | −0.576060 | ||||||||
\(803\) | 235.151 | − | 135.765i | 0.292841 | − | 0.169072i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −144.000 | + | 249.415i | −0.178882 | + | 0.309833i | ||||
\(806\) | 431.110 | + | 248.902i | 0.534876 | + | 0.308811i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −42.0000 | − | 72.7461i | −0.0519802 | − | 0.0900323i | ||||
\(809\) | 1107.33i | 1.36876i | 0.729124 | + | 0.684381i | \(0.239928\pi\) | ||||
−0.729124 | + | 0.684381i | \(0.760072\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −160.000 | −0.197287 | −0.0986436 | − | 0.995123i | \(-0.531450\pi\) | ||||
−0.0986436 | + | 0.995123i | \(0.531450\pi\) | |||||||
\(812\) | −29.3939 | + | 16.9706i | −0.0361994 | + | 0.0208997i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −408.000 | + | 706.677i | −0.501229 | + | 0.868153i | ||||
\(815\) | −205.757 | − | 118.794i | −0.252463 | − | 0.145759i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −320.000 | − | 554.256i | −0.391677 | − | 0.678404i | ||||
\(818\) | − | 520.431i | − | 0.636223i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −396.000 | −0.482927 | ||||||||
\(821\) | −378.446 | + | 218.496i | −0.460958 | + | 0.266134i | −0.712447 | − | 0.701726i | \(-0.752413\pi\) |
0.251489 | + | 0.967860i | \(0.419080\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −166.000 | + | 287.520i | −0.201701 | + | 0.349357i | −0.949077 | − | 0.315045i | \(-0.897980\pi\) |
0.747376 | + | 0.664402i | \(0.231314\pi\) | |||||||
\(824\) | 68.5857 | + | 39.5980i | 0.0832351 | + | 0.0480558i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −96.0000 | − | 166.277i | −0.116223 | − | 0.201304i | ||||
\(827\) | − | 101.823i | − | 0.123124i | −0.998103 | − | 0.0615619i | \(-0.980392\pi\) | ||
0.998103 | − | 0.0615619i | \(-0.0196082\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 632.000 | 0.762364 | 0.381182 | − | 0.924500i | \(-0.375517\pi\) | ||||
0.381182 | + | 0.924500i | \(0.375517\pi\) | |||||||
\(830\) | −617.271 | + | 356.382i | −0.743701 | + | 0.429376i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 32.0000 | − | 55.4256i | 0.0384615 | − | 0.0666173i | ||||
\(833\) | 363.749 | + | 210.011i | 0.436674 | + | 0.252114i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −72.0000 | − | 124.708i | −0.0862275 | − | 0.149350i | ||||
\(836\) | − | 543.058i | − | 0.649591i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −552.000 | −0.658711 | ||||||||
\(839\) | −631.968 | + | 364.867i | −0.753240 | + | 0.434883i | −0.826863 | − | 0.562403i | \(-0.809877\pi\) |
0.0736234 | + | 0.997286i | \(0.476544\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −411.500 | + | 712.739i | −0.489298 | + | 0.847490i | ||||
\(842\) | −48.9898 | − | 28.2843i | −0.0581827 | − | 0.0335918i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 296.000 | + | 512.687i | 0.350711 | + | 0.607449i | ||||
\(845\) | − | 445.477i | − | 0.527192i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 668.000 | 0.788666 | ||||||||
\(848\) | −132.272 | + | 76.3675i | −0.155982 | + | 0.0900561i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −63.0000 | + | 109.119i | −0.0741176 | + | 0.128376i | ||||
\(851\) | 499.696 | + | 288.500i | 0.587187 | + | 0.339012i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −223.000 | − | 386.247i | −0.261430 | − | 0.452810i | 0.705192 | − | 0.709016i | \(-0.250861\pi\) |
−0.966622 | + | 0.256206i | \(0.917527\pi\) | |||||||
\(854\) | 282.843i | 0.331198i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 371.098 | − | 214.253i | 0.433019 | − | 0.250004i | −0.267613 | − | 0.963527i | \(-0.586235\pi\) |
0.700632 | + | 0.713523i | \(0.252901\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −364.000 | + | 630.466i | −0.423749 | + | 0.733954i | −0.996303 | − | 0.0859129i | \(-0.972619\pi\) |
0.572554 | + | 0.819867i | \(0.305953\pi\) | |||||||
\(860\) | −293.939 | − | 169.706i | −0.341789 | − | 0.197332i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −108.000 | − | 187.061i | −0.125290 | − | 0.217009i | ||||
\(863\) | 916.410i | 1.06189i | 0.847407 | + | 0.530945i | \(0.178163\pi\) | ||||
−0.847407 | + | 0.530945i | \(0.821837\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −738.000 | −0.853179 | ||||||||
\(866\) | −663.812 | + | 383.252i | −0.766526 | + | 0.442554i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −176.000 | + | 304.841i | −0.202765 | + | 0.351199i | ||||
\(869\) | −1116.97 | − | 644.881i | −1.28535 | − | 0.742096i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −32.0000 | − | 55.4256i | −0.0367394 | − | 0.0636345i | ||||
\(872\) | 158.392i | 0.181642i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −384.000 | −0.439359 | ||||||||
\(875\) | −470.302 | + | 271.529i | −0.537488 | + | 0.310319i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 455.000 | − | 788.083i | 0.518814 | − | 0.898612i | −0.480947 | − | 0.876750i | \(-0.659707\pi\) |
0.999761 | − | 0.0218627i | \(-0.00695967\pi\) | |||||||
\(878\) | −4.89898 | − | 2.82843i | −0.00557970 | − | 0.00322144i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −144.000 | − | 249.415i | −0.163636 | − | 0.283426i | ||||
\(881\) | 929.138i | 1.05464i | 0.849667 | + | 0.527320i | \(0.176803\pi\) | ||||
−0.849667 | + | 0.527320i | \(0.823197\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1064.00 | 1.20498 | 0.602492 | − | 0.798125i | \(-0.294175\pi\) | ||||
0.602492 | + | 0.798125i | \(0.294175\pi\) | |||||||
\(884\) | −176.363 | + | 101.823i | −0.199506 | + | 0.115185i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 228.000 | − | 394.908i | 0.257336 | − | 0.445720i | ||||
\(887\) | −1205.15 | − | 695.793i | −1.35868 | − | 0.784434i | −0.369234 | − | 0.929337i | \(-0.620380\pi\) |
−0.989446 | + | 0.144902i | \(0.953713\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 184.000 | + | 318.697i | 0.206974 | + | 0.358490i | ||||
\(890\) | − | 76.3675i | − | 0.0858062i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 872.000 | 0.977578 | ||||||||
\(893\) | −1175.76 | + | 678.823i | −1.31664 | + | 0.760160i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 432.000 | − | 748.246i | 0.482682 | − | 0.836029i | ||||
\(896\) | 39.1918 | + | 22.6274i | 0.0437409 | + | 0.0252538i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 153.000 | + | 265.004i | 0.170379 | + | 0.295104i | ||||
\(899\) | − | 186.676i | − | 0.207649i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 486.000 | 0.539401 | ||||||||
\(902\) | 969.998 | − | 560.029i | 1.07539 | − | 0.620874i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 222.000 | − | 384.515i | 0.245575 | − | 0.425349i | ||||
\(905\) | 852.422 | + | 492.146i | 0.941903 | + | 0.543808i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 884.000 | + | 1531.13i | 0.974642 | + | 1.68813i | 0.681112 | + | 0.732179i | \(0.261496\pi\) |
0.293529 | + | 0.955950i | \(0.405170\pi\) | |||||||
\(908\) | 33.9411i | 0.0373801i | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −192.000 | −0.210989 | ||||||||
\(911\) | 205.757 | − | 118.794i | 0.225859 | − | 0.130399i | −0.382801 | − | 0.923831i | \(-0.625041\pi\) |
0.608660 | + | 0.793431i | \(0.291707\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1008.00 | − | 1745.91i | 1.10405 | − | 1.91228i | ||||
\(914\) | −489.898 | − | 282.843i | −0.535993 | − | 0.309456i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.00000 | + | 13.8564i | 0.00873362 | + | 0.0151271i | ||||
\(917\) | − | 678.823i | − | 0.740264i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 380.000 | 0.413493 | 0.206746 | − | 0.978395i | \(-0.433712\pi\) | ||||
0.206746 | + | 0.978395i | \(0.433712\pi\) | |||||||
\(920\) | −176.363 | + | 101.823i | −0.191699 | + | 0.110678i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −213.000 | + | 368.927i | −0.231020 | + | 0.400138i | ||||
\(923\) | −352.727 | − | 203.647i | −0.382152 | − | 0.220636i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 119.000 | + | 206.114i | 0.128649 | + | 0.222826i | ||||
\(926\) | 854.185i | 0.922446i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −24.0000 | −0.0258621 | ||||||||
\(929\) | −576.855 | + | 333.047i | −0.620942 | + | 0.358501i | −0.777236 | − | 0.629210i | \(-0.783379\pi\) |
0.156294 | + | 0.987711i | \(0.450045\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −264.000 | + | 457.261i | −0.283566 | + | 0.491151i | ||||
\(932\) | 22.0454 | + | 12.7279i | 0.0236539 | + | 0.0136566i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 252.000 | + | 436.477i | 0.269807 | + | 0.467320i | ||||
\(935\) | 916.410i | 0.980118i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −178.000 | −0.189968 | −0.0949840 | − | 0.995479i | \(-0.530280\pi\) | ||||
−0.0949840 | + | 0.995479i | \(0.530280\pi\) | |||||||
\(938\) | 39.1918 | − | 22.6274i | 0.0417823 | − | 0.0241230i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −360.000 | + | 623.538i | −0.382979 | + | 0.663339i | ||||
\(941\) | −378.446 | − | 218.496i | −0.402174 | − | 0.232196i | 0.285247 | − | 0.958454i | \(-0.407924\pi\) |
−0.687422 | + | 0.726258i | \(0.741258\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −396.000 | − | 685.892i | −0.419936 | − | 0.727351i | ||||
\(944\) | − | 135.765i | − | 0.143818i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 960.000 | 1.01480 | ||||||||
\(947\) | −1557.88 | + | 899.440i | −1.64506 | + | 0.949778i | −0.666070 | + | 0.745889i | \(0.732025\pi\) |
−0.978994 | + | 0.203889i | \(0.934642\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 64.0000 | − | 110.851i | 0.0674394 | − | 0.116808i | ||||
\(950\) | −137.171 | − | 79.1960i | −0.144391 | − | 0.0833642i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −72.0000 | − | 124.708i | −0.0756303 | − | 0.130995i | ||||
\(953\) | − | 1310.98i | − | 1.37563i | −0.725886 | − | 0.687815i | \(-0.758570\pi\) | ||
0.725886 | − | 0.687815i | \(-0.241430\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −144.000 | −0.150785 | ||||||||
\(956\) | 235.151 | − | 135.765i | 0.245974 | − | 0.142013i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 372.000 | − | 644.323i | 0.388309 | − | 0.672571i | ||||
\(959\) | −543.787 | − | 313.955i | −0.567035 | − | 0.327378i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −487.500 | − | 844.375i | −0.507284 | − | 0.878642i | ||||
\(962\) | 384.666i | 0.399861i | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −64.0000 | −0.0663900 | ||||||||
\(965\) | 756.892 | − | 436.992i | 0.784344 | − | 0.452841i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −850.000 | + | 1472.24i | −0.879007 | + | 1.52249i | −0.0265754 | + | 0.999647i | \(0.508460\pi\) |
−0.852432 | + | 0.522838i | \(0.824873\pi\) | |||||||
\(968\) | 409.065 | + | 236.174i | 0.422588 | + | 0.243981i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −528.000 | − | 914.523i | −0.544330 | − | 0.942807i | ||||
\(971\) | − | 458.205i | − | 0.471890i | −0.971766 | − | 0.235945i | \(-0.924181\pi\) | ||
0.971766 | − | 0.235945i | \(-0.0758185\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −608.000 | −0.624872 | ||||||||
\(974\) | −729.948 | + | 421.436i | −0.749433 | + | 0.432685i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −100.000 | + | 173.205i | −0.102459 | + | 0.177464i | ||||
\(977\) | 657.688 | + | 379.716i | 0.673171 | + | 0.388655i | 0.797277 | − | 0.603614i | \(-0.206273\pi\) |
−0.124106 | + | 0.992269i | \(0.539606\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 108.000 | + | 187.061i | 0.110317 | + | 0.191074i | ||||
\(980\) | 280.014i | 0.285729i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 384.000 | 0.391039 | ||||||||
\(983\) | 911.210 | − | 526.087i | 0.926969 | − | 0.535186i | 0.0411171 | − | 0.999154i | \(-0.486908\pi\) |
0.885852 | + | 0.463969i | \(0.153575\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −351.000 | + | 607.950i | −0.356345 | + | 0.617208i | ||||
\(986\) | 66.1362 | + | 38.1838i | 0.0670753 | + | 0.0387259i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −128.000 | − | 221.703i | −0.129555 | − | 0.224395i | ||||
\(989\) | − | 678.823i | − | 0.686373i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −772.000 | −0.779011 | −0.389506 | − | 0.921024i | \(-0.627354\pi\) | ||||
−0.389506 | + | 0.921024i | \(0.627354\pi\) | |||||||
\(992\) | −215.555 | + | 124.451i | −0.217293 | + | 0.125454i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 144.000 | − | 249.415i | 0.144869 | − | 0.250921i | ||||
\(995\) | −73.4847 | − | 42.4264i | −0.0738540 | − | 0.0426396i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −97.0000 | − | 168.009i | −0.0972919 | − | 0.168514i | 0.813271 | − | 0.581885i | \(-0.197685\pi\) |
−0.910563 | + | 0.413371i | \(0.864351\pi\) | |||||||
\(998\) | − | 316.784i | − | 0.317419i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))