Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [30,3,Mod(29,30)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(30, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("30.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 30 = 2 \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 30.b (of order \(2\), degree \(1\), 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: | \(0.817440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-17})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 16x^{2} + 81 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.1 | ||
Root | \(0.707107 + 2.91548i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 30.29 |
Dual form | 30.3.b.a.29.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/30\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41421 | −0.707107 | ||||||||
\(3\) | 0.707107 | − | 2.91548i | 0.235702 | − | 0.971825i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | 2.82843 | − | 4.12311i | 0.565685 | − | 0.824621i | ||||
\(6\) | −1.00000 | + | 4.12311i | −0.166667 | + | 0.687184i | ||||
\(7\) | 5.83095i | 0.832993i | 0.909137 | + | 0.416497i | \(0.136742\pi\) | ||||
−0.909137 | + | 0.416497i | \(0.863258\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | −8.00000 | − | 4.12311i | −0.888889 | − | 0.458123i | ||||
\(10\) | −4.00000 | + | 5.83095i | −0.400000 | + | 0.583095i | ||||
\(11\) | 16.4924i | 1.49931i | 0.661828 | + | 0.749656i | \(0.269781\pi\) | ||||
−0.661828 | + | 0.749656i | \(0.730219\pi\) | |||||||
\(12\) | 1.41421 | − | 5.83095i | 0.117851 | − | 0.485913i | ||||
\(13\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(14\) | − | 8.24621i | − | 0.589015i | ||||||
\(15\) | −10.0208 | − | 11.1617i | −0.668054 | − | 0.744112i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 11.3137 | 0.665512 | 0.332756 | − | 0.943013i | \(-0.392021\pi\) | ||||
0.332756 | + | 0.943013i | \(0.392021\pi\) | |||||||
\(18\) | 11.3137 | + | 5.83095i | 0.628539 | + | 0.323942i | ||||
\(19\) | 12.0000 | 0.631579 | 0.315789 | − | 0.948829i | \(-0.397731\pi\) | ||||
0.315789 | + | 0.948829i | \(0.397731\pi\) | |||||||
\(20\) | 5.65685 | − | 8.24621i | 0.282843 | − | 0.412311i | ||||
\(21\) | 17.0000 | + | 4.12311i | 0.809524 | + | 0.196338i | ||||
\(22\) | − | 23.3238i | − | 1.06017i | ||||||
\(23\) | −24.0416 | −1.04529 | −0.522644 | − | 0.852551i | \(-0.675054\pi\) | ||||
−0.522644 | + | 0.852551i | \(0.675054\pi\) | |||||||
\(24\) | −2.00000 | + | 8.24621i | −0.0833333 | + | 0.343592i | ||||
\(25\) | −9.00000 | − | 23.3238i | −0.360000 | − | 0.932952i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −17.6777 | + | 20.4083i | −0.654729 | + | 0.755864i | ||||
\(28\) | 11.6619i | 0.416497i | ||||||||
\(29\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(30\) | 14.1716 | + | 15.7850i | 0.472386 | + | 0.526167i | ||||
\(31\) | −32.0000 | −1.03226 | −0.516129 | − | 0.856511i | \(-0.672628\pi\) | ||||
−0.516129 | + | 0.856511i | \(0.672628\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | 48.0833 | + | 11.6619i | 1.45707 | + | 0.353391i | ||||
\(34\) | −16.0000 | −0.470588 | ||||||||
\(35\) | 24.0416 | + | 16.4924i | 0.686904 | + | 0.471212i | ||||
\(36\) | −16.0000 | − | 8.24621i | −0.444444 | − | 0.229061i | ||||
\(37\) | 23.3238i | 0.630373i | 0.949030 | + | 0.315187i | \(0.102067\pi\) | ||||
−0.949030 | + | 0.315187i | \(0.897933\pi\) | |||||||
\(38\) | −16.9706 | −0.446594 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −8.00000 | + | 11.6619i | −0.200000 | + | 0.291548i | ||||
\(41\) | − | 57.7235i | − | 1.40789i | −0.710255 | − | 0.703945i | \(-0.751420\pi\) | ||
0.710255 | − | 0.703945i | \(-0.248580\pi\) | |||||||
\(42\) | −24.0416 | − | 5.83095i | −0.572420 | − | 0.138832i | ||||
\(43\) | − | 40.8167i | − | 0.949225i | −0.880195 | − | 0.474612i | \(-0.842588\pi\) | ||
0.880195 | − | 0.474612i | \(-0.157412\pi\) | |||||||
\(44\) | 32.9848i | 0.749656i | ||||||||
\(45\) | −39.6274 | + | 21.3229i | −0.880609 | + | 0.473843i | ||||
\(46\) | 34.0000 | 0.739130 | ||||||||
\(47\) | 35.3553 | 0.752241 | 0.376121 | − | 0.926571i | \(-0.377258\pi\) | ||||
0.376121 | + | 0.926571i | \(0.377258\pi\) | |||||||
\(48\) | 2.82843 | − | 11.6619i | 0.0589256 | − | 0.242956i | ||||
\(49\) | 15.0000 | 0.306122 | ||||||||
\(50\) | 12.7279 | + | 32.9848i | 0.254558 | + | 0.659697i | ||||
\(51\) | 8.00000 | − | 32.9848i | 0.156863 | − | 0.646762i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −67.8823 | −1.28080 | −0.640399 | − | 0.768043i | \(-0.721231\pi\) | ||||
−0.640399 | + | 0.768043i | \(0.721231\pi\) | |||||||
\(54\) | 25.0000 | − | 28.8617i | 0.462963 | − | 0.534477i | ||||
\(55\) | 68.0000 | + | 46.6476i | 1.23636 | + | 0.848138i | ||||
\(56\) | − | 16.4924i | − | 0.294508i | ||||||
\(57\) | 8.48528 | − | 34.9857i | 0.148865 | − | 0.613784i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 16.4924i | 0.279533i | 0.990185 | + | 0.139766i | \(0.0446351\pi\) | ||||
−0.990185 | + | 0.139766i | \(0.955365\pi\) | |||||||
\(60\) | −20.0416 | − | 22.3234i | −0.334027 | − | 0.372056i | ||||
\(61\) | −16.0000 | −0.262295 | −0.131148 | − | 0.991363i | \(-0.541866\pi\) | ||||
−0.131148 | + | 0.991363i | \(0.541866\pi\) | |||||||
\(62\) | 45.2548 | 0.729917 | ||||||||
\(63\) | 24.0416 | − | 46.6476i | 0.381613 | − | 0.740438i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −68.0000 | − | 16.4924i | −1.03030 | − | 0.249885i | ||||
\(67\) | − | 5.83095i | − | 0.0870291i | −0.999053 | − | 0.0435146i | \(-0.986145\pi\) | ||
0.999053 | − | 0.0435146i | \(-0.0138555\pi\) | |||||||
\(68\) | 22.6274 | 0.332756 | ||||||||
\(69\) | −17.0000 | + | 70.0928i | −0.246377 | + | 1.01584i | ||||
\(70\) | −34.0000 | − | 23.3238i | −0.485714 | − | 0.333197i | ||||
\(71\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(72\) | 22.6274 | + | 11.6619i | 0.314270 | + | 0.161971i | ||||
\(73\) | 116.619i | 1.59752i | 0.601649 | + | 0.798761i | \(0.294511\pi\) | ||||
−0.601649 | + | 0.798761i | \(0.705489\pi\) | |||||||
\(74\) | − | 32.9848i | − | 0.445741i | ||||||
\(75\) | −74.3640 | + | 9.74686i | −0.991519 | + | 0.129958i | ||||
\(76\) | 24.0000 | 0.315789 | ||||||||
\(77\) | −96.1665 | −1.24892 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −72.0000 | −0.911392 | −0.455696 | − | 0.890135i | \(-0.650610\pi\) | ||||
−0.455696 | + | 0.890135i | \(0.650610\pi\) | |||||||
\(80\) | 11.3137 | − | 16.4924i | 0.141421 | − | 0.206155i | ||||
\(81\) | 47.0000 | + | 65.9697i | 0.580247 | + | 0.814441i | ||||
\(82\) | 81.6333i | 0.995528i | ||||||||
\(83\) | 43.8406 | 0.528200 | 0.264100 | − | 0.964495i | \(-0.414925\pi\) | ||||
0.264100 | + | 0.964495i | \(0.414925\pi\) | |||||||
\(84\) | 34.0000 | + | 8.24621i | 0.404762 | + | 0.0981692i | ||||
\(85\) | 32.0000 | − | 46.6476i | 0.376471 | − | 0.548795i | ||||
\(86\) | 57.7235i | 0.671203i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | − | 46.6476i | − | 0.530087i | ||||||
\(89\) | − | 65.9697i | − | 0.741232i | −0.928786 | − | 0.370616i | \(-0.879147\pi\) | ||
0.928786 | − | 0.370616i | \(-0.120853\pi\) | |||||||
\(90\) | 56.0416 | − | 30.1552i | 0.622685 | − | 0.335058i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −48.0833 | −0.522644 | ||||||||
\(93\) | −22.6274 | + | 93.2952i | −0.243306 | + | 1.00317i | ||||
\(94\) | −50.0000 | −0.531915 | ||||||||
\(95\) | 33.9411 | − | 49.4773i | 0.357275 | − | 0.520813i | ||||
\(96\) | −4.00000 | + | 16.4924i | −0.0416667 | + | 0.171796i | ||||
\(97\) | − | 163.267i | − | 1.68316i | −0.540131 | − | 0.841581i | \(-0.681625\pi\) | ||
0.540131 | − | 0.841581i | \(-0.318375\pi\) | |||||||
\(98\) | −21.2132 | −0.216461 | ||||||||
\(99\) | 68.0000 | − | 131.939i | 0.686869 | − | 1.33272i | ||||
\(100\) | −18.0000 | − | 46.6476i | −0.180000 | − | 0.466476i | ||||
\(101\) | 131.939i | 1.30633i | 0.757215 | + | 0.653165i | \(0.226559\pi\) | ||||
−0.757215 | + | 0.653165i | \(0.773441\pi\) | |||||||
\(102\) | −11.3137 | + | 46.6476i | −0.110919 | + | 0.457330i | ||||
\(103\) | − | 99.1262i | − | 0.962390i | −0.876614 | − | 0.481195i | \(-0.840203\pi\) | ||
0.876614 | − | 0.481195i | \(-0.159797\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 65.0833 | − | 58.4309i | 0.619841 | − | 0.556485i | ||||
\(106\) | 96.0000 | 0.905660 | ||||||||
\(107\) | 55.1543 | 0.515461 | 0.257731 | − | 0.966217i | \(-0.417025\pi\) | ||||
0.257731 | + | 0.966217i | \(0.417025\pi\) | |||||||
\(108\) | −35.3553 | + | 40.8167i | −0.327364 | + | 0.377932i | ||||
\(109\) | 80.0000 | 0.733945 | 0.366972 | − | 0.930232i | \(-0.380394\pi\) | ||||
0.366972 | + | 0.930232i | \(0.380394\pi\) | |||||||
\(110\) | −96.1665 | − | 65.9697i | −0.874241 | − | 0.599724i | ||||
\(111\) | 68.0000 | + | 16.4924i | 0.612613 | + | 0.148580i | ||||
\(112\) | 23.3238i | 0.208248i | ||||||||
\(113\) | 152.735 | 1.35164 | 0.675819 | − | 0.737068i | \(-0.263790\pi\) | ||||
0.675819 | + | 0.737068i | \(0.263790\pi\) | |||||||
\(114\) | −12.0000 | + | 49.4773i | −0.105263 | + | 0.434011i | ||||
\(115\) | −68.0000 | + | 99.1262i | −0.591304 | + | 0.861967i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 23.3238i | − | 0.197659i | ||||||
\(119\) | 65.9697i | 0.554367i | ||||||||
\(120\) | 28.3431 | + | 31.5700i | 0.236193 | + | 0.263083i | ||||
\(121\) | −151.000 | −1.24793 | ||||||||
\(122\) | 22.6274 | 0.185471 | ||||||||
\(123\) | −168.291 | − | 40.8167i | −1.36822 | − | 0.331843i | ||||
\(124\) | −64.0000 | −0.516129 | ||||||||
\(125\) | −121.622 | − | 28.8617i | −0.972979 | − | 0.230894i | ||||
\(126\) | −34.0000 | + | 65.9697i | −0.269841 | + | 0.523569i | ||||
\(127\) | 40.8167i | 0.321391i | 0.987004 | + | 0.160696i | \(0.0513737\pi\) | ||||
−0.987004 | + | 0.160696i | \(0.948626\pi\) | |||||||
\(128\) | −11.3137 | −0.0883883 | ||||||||
\(129\) | −119.000 | − | 28.8617i | −0.922481 | − | 0.223734i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 49.4773i | 0.377689i | 0.982007 | + | 0.188845i | \(0.0604742\pi\) | ||||
−0.982007 | + | 0.188845i | \(0.939526\pi\) | |||||||
\(132\) | 96.1665 | + | 23.3238i | 0.728534 | + | 0.176696i | ||||
\(133\) | 69.9714i | 0.526101i | ||||||||
\(134\) | 8.24621i | 0.0615389i | ||||||||
\(135\) | 34.1457 | + | 130.610i | 0.252931 | + | 0.967484i | ||||
\(136\) | −32.0000 | −0.235294 | ||||||||
\(137\) | 50.9117 | 0.371618 | 0.185809 | − | 0.982586i | \(-0.440509\pi\) | ||||
0.185809 | + | 0.982586i | \(0.440509\pi\) | |||||||
\(138\) | 24.0416 | − | 99.1262i | 0.174215 | − | 0.718306i | ||||
\(139\) | 44.0000 | 0.316547 | 0.158273 | − | 0.987395i | \(-0.449407\pi\) | ||||
0.158273 | + | 0.987395i | \(0.449407\pi\) | |||||||
\(140\) | 48.0833 | + | 32.9848i | 0.343452 | + | 0.235606i | ||||
\(141\) | 25.0000 | − | 103.078i | 0.177305 | − | 0.731047i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −32.0000 | − | 16.4924i | −0.222222 | − | 0.114531i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | − | 164.924i | − | 1.12962i | ||||||
\(147\) | 10.6066 | − | 43.7321i | 0.0721538 | − | 0.297498i | ||||
\(148\) | 46.6476i | 0.315187i | ||||||||
\(149\) | − | 8.24621i | − | 0.0553437i | −0.999617 | − | 0.0276718i | \(-0.991191\pi\) | ||
0.999617 | − | 0.0276718i | \(-0.00880935\pi\) | |||||||
\(150\) | 105.167 | − | 13.7841i | 0.701110 | − | 0.0918943i | ||||
\(151\) | 136.000 | 0.900662 | 0.450331 | − | 0.892862i | \(-0.351306\pi\) | ||||
0.450331 | + | 0.892862i | \(0.351306\pi\) | |||||||
\(152\) | −33.9411 | −0.223297 | ||||||||
\(153\) | −90.5097 | − | 46.6476i | −0.591566 | − | 0.304886i | ||||
\(154\) | 136.000 | 0.883117 | ||||||||
\(155\) | −90.5097 | + | 131.939i | −0.583933 | + | 0.851222i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 116.619i | 0.742796i | 0.928474 | + | 0.371398i | \(0.121122\pi\) | ||||
−0.928474 | + | 0.371398i | \(0.878878\pi\) | |||||||
\(158\) | 101.823 | 0.644452 | ||||||||
\(159\) | −48.0000 | + | 197.909i | −0.301887 | + | 1.24471i | ||||
\(160\) | −16.0000 | + | 23.3238i | −0.100000 | + | 0.145774i | ||||
\(161\) | − | 140.186i | − | 0.870718i | ||||||
\(162\) | −66.4680 | − | 93.2952i | −0.410297 | − | 0.575896i | ||||
\(163\) | − | 99.1262i | − | 0.608136i | −0.952650 | − | 0.304068i | \(-0.901655\pi\) | ||
0.952650 | − | 0.304068i | \(-0.0983450\pi\) | |||||||
\(164\) | − | 115.447i | − | 0.703945i | ||||||
\(165\) | 184.083 | − | 165.268i | 1.11566 | − | 1.00162i | ||||
\(166\) | −62.0000 | −0.373494 | ||||||||
\(167\) | −292.742 | −1.75295 | −0.876474 | − | 0.481450i | \(-0.840110\pi\) | ||||
−0.876474 | + | 0.481450i | \(0.840110\pi\) | |||||||
\(168\) | −48.0833 | − | 11.6619i | −0.286210 | − | 0.0694161i | ||||
\(169\) | 169.000 | 1.00000 | ||||||||
\(170\) | −45.2548 | + | 65.9697i | −0.266205 | + | 0.388057i | ||||
\(171\) | −96.0000 | − | 49.4773i | −0.561404 | − | 0.289341i | ||||
\(172\) | − | 81.6333i | − | 0.474612i | ||||||
\(173\) | 164.049 | 0.948259 | 0.474129 | − | 0.880455i | \(-0.342763\pi\) | ||||
0.474129 | + | 0.880455i | \(0.342763\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 136.000 | − | 52.4786i | 0.777143 | − | 0.299878i | ||||
\(176\) | 65.9697i | 0.374828i | ||||||||
\(177\) | 48.0833 | + | 11.6619i | 0.271657 | + | 0.0658865i | ||||
\(178\) | 93.2952i | 0.524131i | ||||||||
\(179\) | 16.4924i | 0.0921364i | 0.998938 | + | 0.0460682i | \(0.0146692\pi\) | ||||
−0.998938 | + | 0.0460682i | \(0.985331\pi\) | |||||||
\(180\) | −79.2548 | + | 42.6459i | −0.440305 | + | 0.236922i | ||||
\(181\) | −82.0000 | −0.453039 | −0.226519 | − | 0.974007i | \(-0.572735\pi\) | ||||
−0.226519 | + | 0.974007i | \(0.572735\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.3137 | + | 46.6476i | −0.0618235 | + | 0.254905i | ||||
\(184\) | 68.0000 | 0.369565 | ||||||||
\(185\) | 96.1665 | + | 65.9697i | 0.519819 | + | 0.356593i | ||||
\(186\) | 32.0000 | − | 131.939i | 0.172043 | − | 0.709352i | ||||
\(187\) | 186.590i | 0.997810i | ||||||||
\(188\) | 70.7107 | 0.376121 | ||||||||
\(189\) | −119.000 | − | 103.078i | −0.629630 | − | 0.545384i | ||||
\(190\) | −48.0000 | + | 69.9714i | −0.252632 | + | 0.368271i | ||||
\(191\) | − | 296.864i | − | 1.55426i | −0.629340 | − | 0.777130i | \(-0.716675\pi\) | ||
0.629340 | − | 0.777130i | \(-0.283325\pi\) | |||||||
\(192\) | 5.65685 | − | 23.3238i | 0.0294628 | − | 0.121478i | ||||
\(193\) | 116.619i | 0.604244i | 0.953269 | + | 0.302122i | \(0.0976950\pi\) | ||||
−0.953269 | + | 0.302122i | \(0.902305\pi\) | |||||||
\(194\) | 230.894i | 1.19017i | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 30.0000 | 0.153061 | ||||||||
\(197\) | 192.333 | 0.976310 | 0.488155 | − | 0.872757i | \(-0.337670\pi\) | ||||
0.488155 | + | 0.872757i | \(0.337670\pi\) | |||||||
\(198\) | −96.1665 | + | 186.590i | −0.485690 | + | 0.942376i | ||||
\(199\) | −312.000 | −1.56784 | −0.783920 | − | 0.620862i | \(-0.786783\pi\) | ||||
−0.783920 | + | 0.620862i | \(0.786783\pi\) | |||||||
\(200\) | 25.4558 | + | 65.9697i | 0.127279 | + | 0.329848i | ||||
\(201\) | −17.0000 | − | 4.12311i | −0.0845771 | − | 0.0205130i | ||||
\(202\) | − | 186.590i | − | 0.923715i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 16.0000 | − | 65.9697i | 0.0784314 | − | 0.323381i | ||||
\(205\) | −238.000 | − | 163.267i | −1.16098 | − | 0.796423i | ||||
\(206\) | 140.186i | 0.680513i | ||||||||
\(207\) | 192.333 | + | 99.1262i | 0.929145 | + | 0.478870i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 197.909i | 0.946933i | ||||||||
\(210\) | −92.0416 | + | 82.6338i | −0.438293 | + | 0.393494i | ||||
\(211\) | −12.0000 | −0.0568720 | −0.0284360 | − | 0.999596i | \(-0.509053\pi\) | ||||
−0.0284360 | + | 0.999596i | \(0.509053\pi\) | |||||||
\(212\) | −135.765 | −0.640399 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −78.0000 | −0.364486 | ||||||||
\(215\) | −168.291 | − | 115.447i | −0.782751 | − | 0.536963i | ||||
\(216\) | 50.0000 | − | 57.7235i | 0.231481 | − | 0.267238i | ||||
\(217\) | − | 186.590i | − | 0.859864i | ||||||
\(218\) | −113.137 | −0.518977 | ||||||||
\(219\) | 340.000 | + | 82.4621i | 1.55251 | + | 0.376539i | ||||
\(220\) | 136.000 | + | 93.2952i | 0.618182 | + | 0.424069i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −96.1665 | − | 23.3238i | −0.433183 | − | 0.105062i | ||||
\(223\) | − | 40.8167i | − | 0.183034i | −0.995803 | − | 0.0915172i | \(-0.970828\pi\) | ||
0.995803 | − | 0.0915172i | \(-0.0291716\pi\) | |||||||
\(224\) | − | 32.9848i | − | 0.147254i | ||||||
\(225\) | −24.1665 | + | 223.698i | −0.107407 | + | 0.994215i | ||||
\(226\) | −216.000 | −0.955752 | ||||||||
\(227\) | 159.806 | 0.703992 | 0.351996 | − | 0.936002i | \(-0.385503\pi\) | ||||
0.351996 | + | 0.936002i | \(0.385503\pi\) | |||||||
\(228\) | 16.9706 | − | 69.9714i | 0.0744323 | − | 0.306892i | ||||
\(229\) | 82.0000 | 0.358079 | 0.179039 | − | 0.983842i | \(-0.442701\pi\) | ||||
0.179039 | + | 0.983842i | \(0.442701\pi\) | |||||||
\(230\) | 96.1665 | − | 140.186i | 0.418115 | − | 0.609503i | ||||
\(231\) | −68.0000 | + | 280.371i | −0.294372 | + | 1.21373i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −192.333 | −0.825464 | −0.412732 | − | 0.910853i | \(-0.635425\pi\) | ||||
−0.412732 | + | 0.910853i | \(0.635425\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 100.000 | − | 145.774i | 0.425532 | − | 0.620314i | ||||
\(236\) | 32.9848i | 0.139766i | ||||||||
\(237\) | −50.9117 | + | 209.914i | −0.214817 | + | 0.885714i | ||||
\(238\) | − | 93.2952i | − | 0.391997i | ||||||
\(239\) | − | 461.788i | − | 1.93217i | −0.258231 | − | 0.966083i | \(-0.583139\pi\) | ||
0.258231 | − | 0.966083i | \(-0.416861\pi\) | |||||||
\(240\) | −40.0833 | − | 44.6467i | −0.167014 | − | 0.186028i | ||||
\(241\) | 304.000 | 1.26141 | 0.630705 | − | 0.776022i | \(-0.282766\pi\) | ||||
0.630705 | + | 0.776022i | \(0.282766\pi\) | |||||||
\(242\) | 213.546 | 0.882423 | ||||||||
\(243\) | 225.567 | − | 90.3798i | 0.928260 | − | 0.371933i | ||||
\(244\) | −32.0000 | −0.131148 | ||||||||
\(245\) | 42.4264 | − | 61.8466i | 0.173169 | − | 0.252435i | ||||
\(246\) | 238.000 | + | 57.7235i | 0.967480 | + | 0.234648i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 90.5097 | 0.364958 | ||||||||
\(249\) | 31.0000 | − | 127.816i | 0.124498 | − | 0.513318i | ||||
\(250\) | 172.000 | + | 40.8167i | 0.688000 | + | 0.163267i | ||||
\(251\) | 346.341i | 1.37984i | 0.723884 | + | 0.689922i | \(0.242355\pi\) | ||||
−0.723884 | + | 0.689922i | \(0.757645\pi\) | |||||||
\(252\) | 48.0833 | − | 93.2952i | 0.190807 | − | 0.370219i | ||||
\(253\) | − | 396.505i | − | 1.56721i | ||||||
\(254\) | − | 57.7235i | − | 0.227258i | ||||||
\(255\) | −113.373 | − | 126.280i | −0.444598 | − | 0.495216i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | −390.323 | −1.51877 | −0.759383 | − | 0.650644i | \(-0.774499\pi\) | ||||
−0.759383 | + | 0.650644i | \(0.774499\pi\) | |||||||
\(258\) | 168.291 | + | 40.8167i | 0.652292 | + | 0.158204i | ||||
\(259\) | −136.000 | −0.525097 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 69.9714i | − | 0.267066i | ||||||
\(263\) | −295.571 | −1.12384 | −0.561921 | − | 0.827191i | \(-0.689938\pi\) | ||||
−0.561921 | + | 0.827191i | \(0.689938\pi\) | |||||||
\(264\) | −136.000 | − | 32.9848i | −0.515152 | − | 0.124943i | ||||
\(265\) | −192.000 | + | 279.886i | −0.724528 | + | 1.05617i | ||||
\(266\) | − | 98.9545i | − | 0.372010i | ||||||
\(267\) | −192.333 | − | 46.6476i | −0.720348 | − | 0.174710i | ||||
\(268\) | − | 11.6619i | − | 0.0435146i | ||||||
\(269\) | 74.2159i | 0.275896i | 0.990440 | + | 0.137948i | \(0.0440506\pi\) | ||||
−0.990440 | + | 0.137948i | \(0.955949\pi\) | |||||||
\(270\) | −48.2893 | − | 184.711i | −0.178849 | − | 0.684115i | ||||
\(271\) | 40.0000 | 0.147601 | 0.0738007 | − | 0.997273i | \(-0.476487\pi\) | ||||
0.0738007 | + | 0.997273i | \(0.476487\pi\) | |||||||
\(272\) | 45.2548 | 0.166378 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −72.0000 | −0.262774 | ||||||||
\(275\) | 384.666 | − | 148.432i | 1.39879 | − | 0.539752i | ||||
\(276\) | −34.0000 | + | 140.186i | −0.123188 | + | 0.507919i | ||||
\(277\) | 443.152i | 1.59983i | 0.600115 | + | 0.799914i | \(0.295122\pi\) | ||||
−0.600115 | + | 0.799914i | \(0.704878\pi\) | |||||||
\(278\) | −62.2254 | −0.223832 | ||||||||
\(279\) | 256.000 | + | 131.939i | 0.917563 | + | 0.472901i | ||||
\(280\) | −68.0000 | − | 46.6476i | −0.242857 | − | 0.166599i | ||||
\(281\) | 519.511i | 1.84879i | 0.381431 | + | 0.924397i | \(0.375431\pi\) | ||||
−0.381431 | + | 0.924397i | \(0.624569\pi\) | |||||||
\(282\) | −35.3553 | + | 145.774i | −0.125374 | + | 0.516928i | ||||
\(283\) | 320.702i | 1.13322i | 0.823985 | + | 0.566612i | \(0.191746\pi\) | ||||
−0.823985 | + | 0.566612i | \(0.808254\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −120.250 | − | 133.940i | −0.421929 | − | 0.469966i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 336.583 | 1.17276 | ||||||||
\(288\) | 45.2548 | + | 23.3238i | 0.157135 | + | 0.0809854i | ||||
\(289\) | −161.000 | −0.557093 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −476.000 | − | 115.447i | −1.63574 | − | 0.396725i | ||||
\(292\) | 233.238i | 0.798761i | ||||||||
\(293\) | −84.8528 | −0.289600 | −0.144800 | − | 0.989461i | \(-0.546254\pi\) | ||||
−0.144800 | + | 0.989461i | \(0.546254\pi\) | |||||||
\(294\) | −15.0000 | + | 61.8466i | −0.0510204 | + | 0.210363i | ||||
\(295\) | 68.0000 | + | 46.6476i | 0.230508 | + | 0.158128i | ||||
\(296\) | − | 65.9697i | − | 0.222871i | ||||||
\(297\) | −336.583 | − | 291.548i | −1.13328 | − | 0.981642i | ||||
\(298\) | 11.6619i | 0.0391339i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −148.728 | + | 19.4937i | −0.495760 | + | 0.0649791i | ||||
\(301\) | 238.000 | 0.790698 | ||||||||
\(302\) | −192.333 | −0.636864 | ||||||||
\(303\) | 384.666 | + | 93.2952i | 1.26953 | + | 0.307905i | ||||
\(304\) | 48.0000 | 0.157895 | ||||||||
\(305\) | −45.2548 | + | 65.9697i | −0.148377 | + | 0.216294i | ||||
\(306\) | 128.000 | + | 65.9697i | 0.418301 | + | 0.215587i | ||||
\(307\) | − | 367.350i | − | 1.19658i | −0.801280 | − | 0.598290i | \(-0.795847\pi\) | ||
0.801280 | − | 0.598290i | \(-0.204153\pi\) | |||||||
\(308\) | −192.333 | −0.624458 | ||||||||
\(309\) | −289.000 | − | 70.0928i | −0.935275 | − | 0.226838i | ||||
\(310\) | 128.000 | − | 186.590i | 0.412903 | − | 0.601905i | ||||
\(311\) | − | 98.9545i | − | 0.318182i | −0.987264 | − | 0.159091i | \(-0.949144\pi\) | ||
0.987264 | − | 0.159091i | \(-0.0508563\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 186.590i | 0.596136i | 0.954545 | + | 0.298068i | \(0.0963422\pi\) | ||||
−0.954545 | + | 0.298068i | \(0.903658\pi\) | |||||||
\(314\) | − | 164.924i | − | 0.525236i | ||||||
\(315\) | −124.333 | − | 231.066i | −0.394708 | − | 0.733541i | ||||
\(316\) | −144.000 | −0.455696 | ||||||||
\(317\) | 520.431 | 1.64174 | 0.820868 | − | 0.571117i | \(-0.193490\pi\) | ||||
0.820868 | + | 0.571117i | \(0.193490\pi\) | |||||||
\(318\) | 67.8823 | − | 279.886i | 0.213466 | − | 0.880144i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 22.6274 | − | 32.9848i | 0.0707107 | − | 0.103078i | ||||
\(321\) | 39.0000 | − | 160.801i | 0.121495 | − | 0.500938i | ||||
\(322\) | 198.252i | 0.615691i | ||||||||
\(323\) | 135.765 | 0.420324 | ||||||||
\(324\) | 94.0000 | + | 131.939i | 0.290123 | + | 0.407220i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 140.186i | 0.430017i | ||||||||
\(327\) | 56.5685 | − | 233.238i | 0.172992 | − | 0.713266i | ||||
\(328\) | 163.267i | 0.497764i | ||||||||
\(329\) | 206.155i | 0.626612i | ||||||||
\(330\) | −260.333 | + | 233.724i | −0.788888 | + | 0.708253i | ||||
\(331\) | 292.000 | 0.882175 | 0.441088 | − | 0.897464i | \(-0.354593\pi\) | ||||
0.441088 | + | 0.897464i | \(0.354593\pi\) | |||||||
\(332\) | 87.6812 | 0.264100 | ||||||||
\(333\) | 96.1665 | − | 186.590i | 0.288788 | − | 0.560332i | ||||
\(334\) | 414.000 | 1.23952 | ||||||||
\(335\) | −24.0416 | − | 16.4924i | −0.0717661 | − | 0.0492311i | ||||
\(336\) | 68.0000 | + | 16.4924i | 0.202381 | + | 0.0490846i | ||||
\(337\) | − | 326.533i | − | 0.968942i | −0.874807 | − | 0.484471i | \(-0.839012\pi\) | ||
0.874807 | − | 0.484471i | \(-0.160988\pi\) | |||||||
\(338\) | −239.002 | −0.707107 | ||||||||
\(339\) | 108.000 | − | 445.295i | 0.318584 | − | 1.31356i | ||||
\(340\) | 64.0000 | − | 93.2952i | 0.188235 | − | 0.274398i | ||||
\(341\) | − | 527.758i | − | 1.54768i | ||||||
\(342\) | 135.765 | + | 69.9714i | 0.396972 | + | 0.204595i | ||||
\(343\) | 373.181i | 1.08799i | ||||||||
\(344\) | 115.447i | 0.335602i | ||||||||
\(345\) | 240.917 | + | 268.345i | 0.698309 | + | 0.777812i | ||||
\(346\) | −232.000 | −0.670520 | ||||||||
\(347\) | −394.566 | −1.13708 | −0.568538 | − | 0.822657i | \(-0.692491\pi\) | ||||
−0.568538 | + | 0.822657i | \(0.692491\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 254.000 | 0.727794 | 0.363897 | − | 0.931439i | \(-0.381446\pi\) | ||||
0.363897 | + | 0.931439i | \(0.381446\pi\) | |||||||
\(350\) | −192.333 | + | 74.2159i | −0.549523 | + | 0.212045i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 93.2952i | − | 0.265043i | ||||||
\(353\) | −345.068 | −0.977530 | −0.488765 | − | 0.872415i | \(-0.662552\pi\) | ||||
−0.488765 | + | 0.872415i | \(0.662552\pi\) | |||||||
\(354\) | −68.0000 | − | 16.4924i | −0.192090 | − | 0.0465888i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 131.939i | − | 0.370616i | ||||||
\(357\) | 192.333 | + | 46.6476i | 0.538748 | + | 0.130666i | ||||
\(358\) | − | 23.3238i | − | 0.0651503i | ||||||
\(359\) | 395.818i | 1.10256i | 0.834321 | + | 0.551279i | \(0.185860\pi\) | ||||
−0.834321 | + | 0.551279i | \(0.814140\pi\) | |||||||
\(360\) | 112.083 | − | 60.3104i | 0.311342 | − | 0.167529i | ||||
\(361\) | −217.000 | −0.601108 | ||||||||
\(362\) | 115.966 | 0.320347 | ||||||||
\(363\) | −106.773 | + | 440.237i | −0.294141 | + | 1.21277i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 480.833 | + | 329.848i | 1.31735 | + | 0.903694i | ||||
\(366\) | 16.0000 | − | 65.9697i | 0.0437158 | − | 0.180245i | ||||
\(367\) | − | 413.998i | − | 1.12806i | −0.825755 | − | 0.564029i | \(-0.809250\pi\) | ||
0.825755 | − | 0.564029i | \(-0.190750\pi\) | |||||||
\(368\) | −96.1665 | −0.261322 | ||||||||
\(369\) | −238.000 | + | 461.788i | −0.644986 | + | 1.25146i | ||||
\(370\) | −136.000 | − | 93.2952i | −0.367568 | − | 0.252149i | ||||
\(371\) | − | 395.818i | − | 1.06690i | ||||||
\(372\) | −45.2548 | + | 186.590i | −0.121653 | + | 0.501587i | ||||
\(373\) | − | 629.743i | − | 1.68832i | −0.536092 | − | 0.844159i | \(-0.680100\pi\) | ||
0.536092 | − | 0.844159i | \(-0.319900\pi\) | |||||||
\(374\) | − | 263.879i | − | 0.705558i | ||||||
\(375\) | −170.146 | + | 334.179i | −0.453722 | + | 0.891143i | ||||
\(376\) | −100.000 | −0.265957 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 168.291 | + | 145.774i | 0.445215 | + | 0.385645i | ||||
\(379\) | −572.000 | −1.50923 | −0.754617 | − | 0.656165i | \(-0.772178\pi\) | ||||
−0.754617 | + | 0.656165i | \(0.772178\pi\) | |||||||
\(380\) | 67.8823 | − | 98.9545i | 0.178638 | − | 0.260407i | ||||
\(381\) | 119.000 | + | 28.8617i | 0.312336 | + | 0.0757526i | ||||
\(382\) | 419.829i | 1.09903i | ||||||||
\(383\) | 193.747 | 0.505868 | 0.252934 | − | 0.967484i | \(-0.418605\pi\) | ||||
0.252934 | + | 0.967484i | \(0.418605\pi\) | |||||||
\(384\) | −8.00000 | + | 32.9848i | −0.0208333 | + | 0.0858980i | ||||
\(385\) | −272.000 | + | 396.505i | −0.706494 | + | 1.02988i | ||||
\(386\) | − | 164.924i | − | 0.427265i | ||||||
\(387\) | −168.291 | + | 326.533i | −0.434862 | + | 0.843755i | ||||
\(388\) | − | 326.533i | − | 0.841581i | ||||||
\(389\) | − | 387.572i | − | 0.996329i | −0.867083 | − | 0.498164i | \(-0.834008\pi\) | ||
0.867083 | − | 0.498164i | \(-0.165992\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −272.000 | −0.695652 | ||||||||
\(392\) | −42.4264 | −0.108231 | ||||||||
\(393\) | 144.250 | + | 34.9857i | 0.367048 | + | 0.0890222i | ||||
\(394\) | −272.000 | −0.690355 | ||||||||
\(395\) | −203.647 | + | 296.864i | −0.515561 | + | 0.751553i | ||||
\(396\) | 136.000 | − | 263.879i | 0.343434 | − | 0.666361i | ||||
\(397\) | 513.124i | 1.29250i | 0.763124 | + | 0.646252i | \(0.223664\pi\) | ||||
−0.763124 | + | 0.646252i | \(0.776336\pi\) | |||||||
\(398\) | 441.235 | 1.10863 | ||||||||
\(399\) | 204.000 | + | 49.4773i | 0.511278 | + | 0.124003i | ||||
\(400\) | −36.0000 | − | 93.2952i | −0.0900000 | − | 0.233238i | ||||
\(401\) | − | 65.9697i | − | 0.164513i | −0.996611 | − | 0.0822565i | \(-0.973787\pi\) | ||
0.996611 | − | 0.0822565i | \(-0.0262127\pi\) | |||||||
\(402\) | 24.0416 | + | 5.83095i | 0.0598051 | + | 0.0145049i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 263.879i | 0.653165i | ||||||||
\(405\) | 404.936 | − | 7.19550i | 0.999842 | − | 0.0177667i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −384.666 | −0.945126 | ||||||||
\(408\) | −22.6274 | + | 93.2952i | −0.0554594 | + | 0.228665i | ||||
\(409\) | 640.000 | 1.56479 | 0.782396 | − | 0.622781i | \(-0.213997\pi\) | ||||
0.782396 | + | 0.622781i | \(0.213997\pi\) | |||||||
\(410\) | 336.583 | + | 230.894i | 0.820934 | + | 0.563156i | ||||
\(411\) | 36.0000 | − | 148.432i | 0.0875912 | − | 0.361148i | ||||
\(412\) | − | 198.252i | − | 0.481195i | ||||||
\(413\) | −96.1665 | −0.232849 | ||||||||
\(414\) | −272.000 | − | 140.186i | −0.657005 | − | 0.338613i | ||||
\(415\) | 124.000 | − | 180.760i | 0.298795 | − | 0.435565i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 31.1127 | − | 128.281i | 0.0746108 | − | 0.307628i | ||||
\(418\) | − | 279.886i | − | 0.669583i | ||||||
\(419\) | 577.235i | 1.37765i | 0.724928 | + | 0.688824i | \(0.241873\pi\) | ||||
−0.724928 | + | 0.688824i | \(0.758127\pi\) | |||||||
\(420\) | 130.167 | − | 116.862i | 0.309920 | − | 0.278242i | ||||
\(421\) | −656.000 | −1.55819 | −0.779097 | − | 0.626903i | \(-0.784322\pi\) | ||||
−0.779097 | + | 0.626903i | \(0.784322\pi\) | |||||||
\(422\) | 16.9706 | 0.0402146 | ||||||||
\(423\) | −282.843 | − | 145.774i | −0.668659 | − | 0.344619i | ||||
\(424\) | 192.000 | 0.452830 | ||||||||
\(425\) | −101.823 | − | 263.879i | −0.239584 | − | 0.620891i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 93.2952i | − | 0.218490i | ||||||
\(428\) | 110.309 | 0.257731 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 238.000 | + | 163.267i | 0.553488 | + | 0.379690i | ||||
\(431\) | 362.833i | 0.841841i | 0.907098 | + | 0.420920i | \(0.138293\pi\) | ||||
−0.907098 | + | 0.420920i | \(0.861707\pi\) | |||||||
\(432\) | −70.7107 | + | 81.6333i | −0.163682 | + | 0.188966i | ||||
\(433\) | − | 163.267i | − | 0.377059i | −0.982068 | − | 0.188530i | \(-0.939628\pi\) | ||
0.982068 | − | 0.188530i | \(-0.0603722\pi\) | |||||||
\(434\) | 263.879i | 0.608016i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 160.000 | 0.366972 | ||||||||
\(437\) | −288.500 | −0.660182 | ||||||||
\(438\) | −480.833 | − | 116.619i | −1.09779 | − | 0.266254i | ||||
\(439\) | 432.000 | 0.984055 | 0.492027 | − | 0.870580i | \(-0.336256\pi\) | ||||
0.492027 | + | 0.870580i | \(0.336256\pi\) | |||||||
\(440\) | −192.333 | − | 131.939i | −0.437121 | − | 0.299862i | ||||
\(441\) | −120.000 | − | 61.8466i | −0.272109 | − | 0.140242i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −123.037 | −0.277735 | −0.138867 | − | 0.990311i | \(-0.544346\pi\) | ||||
−0.138867 | + | 0.990311i | \(0.544346\pi\) | |||||||
\(444\) | 136.000 | + | 32.9848i | 0.306306 | + | 0.0742902i | ||||
\(445\) | −272.000 | − | 186.590i | −0.611236 | − | 0.419304i | ||||
\(446\) | 57.7235i | 0.129425i | ||||||||
\(447\) | −24.0416 | − | 5.83095i | −0.0537844 | − | 0.0130446i | ||||
\(448\) | 46.6476i | 0.104124i | ||||||||
\(449\) | − | 865.852i | − | 1.92840i | −0.265174 | − | 0.964201i | \(-0.585429\pi\) | ||
0.265174 | − | 0.964201i | \(-0.414571\pi\) | |||||||
\(450\) | 34.1766 | − | 316.357i | 0.0759481 | − | 0.703016i | ||||
\(451\) | 952.000 | 2.11086 | ||||||||
\(452\) | 305.470 | 0.675819 | ||||||||
\(453\) | 96.1665 | − | 396.505i | 0.212288 | − | 0.875286i | ||||
\(454\) | −226.000 | −0.497797 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −24.0000 | + | 98.9545i | −0.0526316 | + | 0.217006i | ||||
\(457\) | − | 466.476i | − | 1.02074i | −0.859956 | − | 0.510368i | \(-0.829509\pi\) | ||
0.859956 | − | 0.510368i | \(-0.170491\pi\) | |||||||
\(458\) | −115.966 | −0.253200 | ||||||||
\(459\) | −200.000 | + | 230.894i | −0.435730 | + | 0.503037i | ||||
\(460\) | −136.000 | + | 198.252i | −0.295652 | + | 0.430983i | ||||
\(461\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(462\) | 96.1665 | − | 396.505i | 0.208153 | − | 0.858235i | ||||
\(463\) | 612.250i | 1.32235i | 0.750230 | + | 0.661177i | \(0.229943\pi\) | ||||
−0.750230 | + | 0.661177i | \(0.770057\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 320.666 | + | 357.174i | 0.689604 | + | 0.768116i | ||||
\(466\) | 272.000 | 0.583691 | ||||||||
\(467\) | 767.918 | 1.64436 | 0.822182 | − | 0.569225i | \(-0.192757\pi\) | ||||
0.822182 | + | 0.569225i | \(0.192757\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.0000 | 0.0724947 | ||||||||
\(470\) | −141.421 | + | 206.155i | −0.300897 | + | 0.438628i | ||||
\(471\) | 340.000 | + | 82.4621i | 0.721868 | + | 0.175079i | ||||
\(472\) | − | 46.6476i | − | 0.0988297i | ||||||
\(473\) | 673.166 | 1.42318 | ||||||||
\(474\) | 72.0000 | − | 296.864i | 0.151899 | − | 0.626295i | ||||
\(475\) | −108.000 | − | 279.886i | −0.227368 | − | 0.589233i | ||||
\(476\) | 131.939i | 0.277184i | ||||||||
\(477\) | 543.058 | + | 279.886i | 1.13849 | + | 0.586762i | ||||
\(478\) | 653.067i | 1.36625i | ||||||||
\(479\) | − | 560.742i | − | 1.17065i | −0.810798 | − | 0.585326i | \(-0.800967\pi\) | ||
0.810798 | − | 0.585326i | \(-0.199033\pi\) | |||||||
\(480\) | 56.6863 | + | 63.1400i | 0.118096 | + | 0.131542i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −429.921 | −0.891952 | ||||||||
\(483\) | −408.708 | − | 99.1262i | −0.846186 | − | 0.205230i | ||||
\(484\) | −302.000 | −0.623967 | ||||||||
\(485\) | −673.166 | − | 461.788i | −1.38797 | − | 0.952140i | ||||
\(486\) | −319.000 | + | 127.816i | −0.656379 | + | 0.262996i | ||||
\(487\) | 647.236i | 1.32903i | 0.747277 | + | 0.664513i | \(0.231361\pi\) | ||||
−0.747277 | + | 0.664513i | \(0.768639\pi\) | |||||||
\(488\) | 45.2548 | 0.0927353 | ||||||||
\(489\) | −289.000 | − | 70.0928i | −0.591002 | − | 0.143339i | ||||
\(490\) | −60.0000 | + | 87.4643i | −0.122449 | + | 0.178499i | ||||
\(491\) | 346.341i | 0.705379i | 0.935740 | + | 0.352689i | \(0.114733\pi\) | ||||
−0.935740 | + | 0.352689i | \(0.885267\pi\) | |||||||
\(492\) | −336.583 | − | 81.6333i | −0.684111 | − | 0.165921i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −351.667 | − | 653.552i | −0.710438 | − | 1.32031i | ||||
\(496\) | −128.000 | −0.258065 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −43.8406 | + | 180.760i | −0.0880334 | + | 0.362971i | ||||
\(499\) | −660.000 | −1.32265 | −0.661323 | − | 0.750102i | \(-0.730005\pi\) | ||||
−0.661323 | + | 0.750102i | \(0.730005\pi\) | |||||||
\(500\) | −243.245 | − | 57.7235i | −0.486489 | − | 0.115447i | ||||
\(501\) | −207.000 | + | 853.483i | −0.413174 | + | 1.70356i | ||||
\(502\) | − | 489.800i | − | 0.975697i | ||||||
\(503\) | 182.434 | 0.362691 | 0.181345 | − | 0.983419i | \(-0.441955\pi\) | ||||
0.181345 | + | 0.983419i | \(0.441955\pi\) | |||||||
\(504\) | −68.0000 | + | 131.939i | −0.134921 | + | 0.261784i | ||||
\(505\) | 544.000 | + | 373.181i | 1.07723 | + | 0.738972i | ||||
\(506\) | 560.742i | 1.10819i | ||||||||
\(507\) | 119.501 | − | 492.715i | 0.235702 | − | 0.971825i | ||||
\(508\) | 81.6333i | 0.160696i | ||||||||
\(509\) | 395.818i | 0.777639i | 0.921314 | + | 0.388819i | \(0.127117\pi\) | ||||
−0.921314 | + | 0.388819i | \(0.872883\pi\) | |||||||
\(510\) | 160.333 | + | 178.587i | 0.314379 | + | 0.350171i | ||||
\(511\) | −680.000 | −1.33072 | ||||||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | −212.132 | + | 244.900i | −0.413513 | + | 0.477388i | ||||
\(514\) | 552.000 | 1.07393 | ||||||||
\(515\) | −408.708 | − | 280.371i | −0.793607 | − | 0.544410i | ||||
\(516\) | −238.000 | − | 57.7235i | −0.461240 | − | 0.111867i | ||||
\(517\) | 583.095i | 1.12784i | ||||||||
\(518\) | 192.333 | 0.371299 | ||||||||
\(519\) | 116.000 | − | 478.280i | 0.223507 | − | 0.921542i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 131.939i | 0.253243i | 0.991951 | + | 0.126621i | \(0.0404133\pi\) | ||||
−0.991951 | + | 0.126621i | \(0.959587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 145.774i | 0.278726i | 0.990241 | + | 0.139363i | \(0.0445055\pi\) | ||||
−0.990241 | + | 0.139363i | \(0.955494\pi\) | |||||||
\(524\) | 98.9545i | 0.188845i | ||||||||
\(525\) | −56.8335 | − | 433.613i | −0.108254 | − | 0.825929i | ||||
\(526\) | 418.000 | 0.794677 | ||||||||
\(527\) | −362.039 | −0.686980 | ||||||||
\(528\) | 192.333 | + | 46.6476i | 0.364267 | + | 0.0883478i | ||||
\(529\) | 49.0000 | 0.0926276 | ||||||||
\(530\) | 271.529 | − | 395.818i | 0.512319 | − | 0.746827i | ||||
\(531\) | 68.0000 | − | 131.939i | 0.128060 | − | 0.248473i | ||||
\(532\) | 139.943i | 0.263050i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 272.000 | + | 65.9697i | 0.509363 | + | 0.123539i | ||||
\(535\) | 156.000 | − | 227.407i | 0.291589 | − | 0.425060i | ||||
\(536\) | 16.4924i | 0.0307694i | ||||||||
\(537\) | 48.0833 | + | 11.6619i | 0.0895405 | + | 0.0217168i | ||||
\(538\) | − | 104.957i | − | 0.195088i | ||||||
\(539\) | 247.386i | 0.458973i | ||||||||
\(540\) | 68.2914 | + | 261.221i | 0.126466 | + | 0.483742i | ||||
\(541\) | 418.000 | 0.772643 | 0.386322 | − | 0.922364i | \(-0.373745\pi\) | ||||
0.386322 | + | 0.922364i | \(0.373745\pi\) | |||||||
\(542\) | −56.5685 | −0.104370 | ||||||||
\(543\) | −57.9828 | + | 239.069i | −0.106782 | + | 0.440274i | ||||
\(544\) | −64.0000 | −0.117647 | ||||||||
\(545\) | 226.274 | − | 329.848i | 0.415182 | − | 0.605227i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 285.717i | 0.522334i | 0.965294 | + | 0.261167i | \(0.0841073\pi\) | ||||
−0.965294 | + | 0.261167i | \(0.915893\pi\) | |||||||
\(548\) | 101.823 | 0.185809 | ||||||||
\(549\) | 128.000 | + | 65.9697i | 0.233151 | + | 0.120163i | ||||
\(550\) | −544.000 | + | 209.914i | −0.989091 | + | 0.381662i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 48.0833 | − | 198.252i | 0.0871074 | − | 0.359153i | ||||
\(553\) | − | 419.829i | − | 0.759184i | ||||||
\(554\) | − | 626.712i | − | 1.13125i | ||||||
\(555\) | 260.333 | − | 233.724i | 0.469069 | − | 0.421124i | ||||
\(556\) | 88.0000 | 0.158273 | ||||||||
\(557\) | −424.264 | −0.761695 | −0.380847 | − | 0.924638i | \(-0.624368\pi\) | ||||
−0.380847 | + | 0.924638i | \(0.624368\pi\) | |||||||
\(558\) | −362.039 | − | 186.590i | −0.648815 | − | 0.334392i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 96.1665 | + | 65.9697i | 0.171726 | + | 0.117803i | ||||
\(561\) | 544.000 | + | 131.939i | 0.969697 | + | 0.235186i | ||||
\(562\) | − | 734.700i | − | 1.30730i | ||||||
\(563\) | 813.173 | 1.44436 | 0.722178 | − | 0.691707i | \(-0.243141\pi\) | ||||
0.722178 | + | 0.691707i | \(0.243141\pi\) | |||||||
\(564\) | 50.0000 | − | 206.155i | 0.0886525 | − | 0.365524i | ||||
\(565\) | 432.000 | − | 629.743i | 0.764602 | − | 1.11459i | ||||
\(566\) | − | 453.542i | − | 0.801310i | ||||||
\(567\) | −384.666 | + | 274.055i | −0.678423 | + | 0.483342i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 453.542i | 0.797085i | 0.917150 | + | 0.398543i | \(0.130484\pi\) | ||||
−0.917150 | + | 0.398543i | \(0.869516\pi\) | |||||||
\(570\) | 170.059 | + | 189.420i | 0.298349 | + | 0.332316i | ||||
\(571\) | 220.000 | 0.385289 | 0.192644 | − | 0.981269i | \(-0.438294\pi\) | ||||
0.192644 | + | 0.981269i | \(0.438294\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −865.499 | − | 209.914i | −1.51047 | − | 0.366343i | ||||
\(574\) | −476.000 | −0.829268 | ||||||||
\(575\) | 216.375 | + | 560.742i | 0.376304 | + | 0.975204i | ||||
\(576\) | −64.0000 | − | 32.9848i | −0.111111 | − | 0.0572654i | ||||
\(577\) | − | 46.6476i | − | 0.0808451i | −0.999183 | − | 0.0404225i | \(-0.987130\pi\) | ||
0.999183 | − | 0.0404225i | \(-0.0128704\pi\) | |||||||
\(578\) | 227.688 | 0.393925 | ||||||||
\(579\) | 340.000 | + | 82.4621i | 0.587219 | + | 0.142422i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 255.633i | 0.439987i | ||||||||
\(582\) | 673.166 | + | 163.267i | 1.15664 | + | 0.280527i | ||||
\(583\) | − | 1119.54i | − | 1.92031i | ||||||
\(584\) | − | 329.848i | − | 0.564809i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 120.000 | 0.204778 | ||||||||
\(587\) | −55.1543 | −0.0939597 | −0.0469798 | − | 0.998896i | \(-0.514960\pi\) | ||||
−0.0469798 | + | 0.998896i | \(0.514960\pi\) | |||||||
\(588\) | 21.2132 | − | 87.4643i | 0.0360769 | − | 0.148749i | ||||
\(589\) | −384.000 | −0.651952 | ||||||||
\(590\) | −96.1665 | − | 65.9697i | −0.162994 | − | 0.111813i | ||||
\(591\) | 136.000 | − | 560.742i | 0.230118 | − | 0.948803i | ||||
\(592\) | 93.2952i | 0.157593i | ||||||||
\(593\) | −390.323 | −0.658217 | −0.329109 | − | 0.944292i | \(-0.606748\pi\) | ||||
−0.329109 | + | 0.944292i | \(0.606748\pi\) | |||||||
\(594\) | 476.000 | + | 412.311i | 0.801347 | + | 0.694126i | ||||
\(595\) | 272.000 | + | 186.590i | 0.457143 | + | 0.313597i | ||||
\(596\) | − | 16.4924i | − | 0.0276718i | ||||||
\(597\) | −220.617 | + | 909.628i | −0.369543 | + | 1.52367i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 98.9545i | − | 0.165200i | −0.996583 | − | 0.0825998i | \(-0.973678\pi\) | ||
0.996583 | − | 0.0825998i | \(-0.0263223\pi\) | |||||||
\(600\) | 210.333 | − | 27.5683i | 0.350555 | − | 0.0459471i | ||||
\(601\) | −880.000 | −1.46423 | −0.732113 | − | 0.681183i | \(-0.761466\pi\) | ||||
−0.732113 | + | 0.681183i | \(0.761466\pi\) | |||||||
\(602\) | −336.583 | −0.559108 | ||||||||
\(603\) | −24.0416 | + | 46.6476i | −0.0398700 | + | 0.0773592i | ||||
\(604\) | 272.000 | 0.450331 | ||||||||
\(605\) | −427.092 | + | 622.589i | −0.705938 | + | 1.02907i | ||||
\(606\) | −544.000 | − | 131.939i | −0.897690 | − | 0.217722i | ||||
\(607\) | − | 425.659i | − | 0.701251i | −0.936516 | − | 0.350626i | \(-0.885969\pi\) | ||
0.936516 | − | 0.350626i | \(-0.114031\pi\) | |||||||
\(608\) | −67.8823 | −0.111648 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 64.0000 | − | 93.2952i | 0.104918 | − | 0.152943i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −181.019 | − | 93.2952i | −0.295783 | − | 0.152443i | ||||
\(613\) | 606.419i | 0.989264i | 0.869102 | + | 0.494632i | \(0.164697\pi\) | ||||
−0.869102 | + | 0.494632i | \(0.835303\pi\) | |||||||
\(614\) | 519.511i | 0.846110i | ||||||||
\(615\) | −644.291 | + | 578.436i | −1.04763 | + | 0.940547i | ||||
\(616\) | 272.000 | 0.441558 | ||||||||
\(617\) | 113.137 | 0.183366 | 0.0916832 | − | 0.995788i | \(-0.470775\pi\) | ||||
0.0916832 | + | 0.995788i | \(0.470775\pi\) | |||||||
\(618\) | 408.708 | + | 99.1262i | 0.661339 | + | 0.160398i | ||||
\(619\) | 52.0000 | 0.0840065 | 0.0420032 | − | 0.999117i | \(-0.486626\pi\) | ||||
0.0420032 | + | 0.999117i | \(0.486626\pi\) | |||||||
\(620\) | −181.019 | + | 263.879i | −0.291967 | + | 0.425611i | ||||
\(621\) | 425.000 | − | 490.650i | 0.684380 | − | 0.790096i | ||||
\(622\) | 139.943i | 0.224988i | ||||||||
\(623\) | 384.666 | 0.617442 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −463.000 | + | 419.829i | −0.740800 | + | 0.671726i | ||||
\(626\) | − | 263.879i | − | 0.421532i | ||||||
\(627\) | 576.999 | + | 139.943i | 0.920254 | + | 0.223194i | ||||
\(628\) | 233.238i | 0.371398i | ||||||||
\(629\) | 263.879i | 0.419521i | ||||||||
\(630\) | 175.833 | + | 326.776i | 0.279101 | + | 0.518692i | ||||
\(631\) | −544.000 | −0.862124 | −0.431062 | − | 0.902322i | \(-0.641861\pi\) | ||||
−0.431062 | + | 0.902322i | \(0.641861\pi\) | |||||||
\(632\) | 203.647 | 0.322226 | ||||||||
\(633\) | −8.48528 | + | 34.9857i | −0.0134049 | + | 0.0552697i | ||||
\(634\) | −736.000 | −1.16088 | ||||||||
\(635\) | 168.291 | + | 115.447i | 0.265026 | + | 0.181806i | ||||
\(636\) | −96.0000 | + | 395.818i | −0.150943 | + | 0.622356i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −32.0000 | + | 46.6476i | −0.0500000 | + | 0.0728869i | ||||
\(641\) | − | 849.360i | − | 1.32505i | −0.749038 | − | 0.662527i | \(-0.769484\pi\) | ||
0.749038 | − | 0.662527i | \(-0.230516\pi\) | |||||||
\(642\) | −55.1543 | + | 227.407i | −0.0859102 | + | 0.354217i | ||||
\(643\) | − | 367.350i | − | 0.571306i | −0.958333 | − | 0.285653i | \(-0.907789\pi\) | ||
0.958333 | − | 0.285653i | \(-0.0922105\pi\) | |||||||
\(644\) | − | 280.371i | − | 0.435359i | ||||||
\(645\) | −455.583 | + | 409.016i | −0.706330 | + | 0.634134i | ||||
\(646\) | −192.000 | −0.297214 | ||||||||
\(647\) | 971.565 | 1.50165 | 0.750823 | − | 0.660504i | \(-0.229657\pi\) | ||||
0.750823 | + | 0.660504i | \(0.229657\pi\) | |||||||
\(648\) | −132.936 | − | 186.590i | −0.205148 | − | 0.287948i | ||||
\(649\) | −272.000 | −0.419106 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −544.000 | − | 131.939i | −0.835637 | − | 0.202672i | ||||
\(652\) | − | 198.252i | − | 0.304068i | ||||||
\(653\) | −350.725 | −0.537098 | −0.268549 | − | 0.963266i | \(-0.586544\pi\) | ||||
−0.268549 | + | 0.963266i | \(0.586544\pi\) | |||||||
\(654\) | −80.0000 | + | 329.848i | −0.122324 | + | 0.504355i | ||||
\(655\) | 204.000 | + | 139.943i | 0.311450 | + | 0.213653i | ||||
\(656\) | − | 230.894i | − | 0.351972i | ||||||
\(657\) | 480.833 | − | 932.952i | 0.731861 | − | 1.42002i | ||||
\(658\) | − | 291.548i | − | 0.443081i | ||||||
\(659\) | − | 577.235i | − | 0.875925i | −0.898993 | − | 0.437963i | \(-0.855700\pi\) | ||
0.898993 | − | 0.437963i | \(-0.144300\pi\) | |||||||
\(660\) | 368.167 | − | 330.535i | 0.557828 | − | 0.500811i | ||||
\(661\) | 80.0000 | 0.121029 | 0.0605144 | − | 0.998167i | \(-0.480726\pi\) | ||||
0.0605144 | + | 0.998167i | \(0.480726\pi\) | |||||||
\(662\) | −412.950 | −0.623792 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −124.000 | −0.186747 | ||||||||
\(665\) | 288.500 | + | 197.909i | 0.433834 | + | 0.297608i | ||||
\(666\) | −136.000 | + | 263.879i | −0.204204 | + | 0.396214i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −585.484 | −0.876474 | ||||||||
\(669\) | −119.000 | − | 28.8617i | −0.177877 | − | 0.0431416i | ||||
\(670\) | 34.0000 | + | 23.3238i | 0.0507463 | + | 0.0348117i | ||||
\(671\) | − | 263.879i | − | 0.393262i | ||||||
\(672\) | −96.1665 | − | 23.3238i | −0.143105 | − | 0.0347080i | ||||
\(673\) | 489.800i | 0.727786i | 0.931441 | + | 0.363893i | \(0.118553\pi\) | ||||
−0.931441 | + | 0.363893i | \(0.881447\pi\) | |||||||
\(674\) | 461.788i | 0.685145i | ||||||||
\(675\) | 635.099 | + | 228.636i | 0.940887 | + | 0.338719i | ||||
\(676\) | 338.000 | 0.500000 | ||||||||
\(677\) | −192.333 | −0.284096 | −0.142048 | − | 0.989860i | \(-0.545369\pi\) | ||||
−0.142048 | + | 0.989860i | \(0.545369\pi\) | |||||||
\(678\) | −152.735 | + | 629.743i | −0.225273 | + | 0.928824i | ||||
\(679\) | 952.000 | 1.40206 | ||||||||
\(680\) | −90.5097 | + | 131.939i | −0.133102 | + | 0.194029i | ||||
\(681\) | 113.000 | − | 465.911i | 0.165932 | − | 0.684157i | ||||
\(682\) | 746.362i | 1.09437i | ||||||||
\(683\) | −236.174 | −0.345789 | −0.172894 | − | 0.984940i | \(-0.555312\pi\) | ||||
−0.172894 | + | 0.984940i | \(0.555312\pi\) | |||||||
\(684\) | −192.000 | − | 98.9545i | −0.280702 | − | 0.144670i | ||||
\(685\) | 144.000 | − | 209.914i | 0.210219 | − | 0.306444i | ||||
\(686\) | − | 527.758i | − | 0.769326i | ||||||
\(687\) | 57.9828 | − | 239.069i | 0.0843999 | − | 0.347990i | ||||
\(688\) | − | 163.267i | − | 0.237306i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −340.708 | − | 379.497i | −0.493779 | − | 0.549996i | ||||
\(691\) | −548.000 | −0.793054 | −0.396527 | − | 0.918023i | \(-0.629785\pi\) | ||||
−0.396527 | + | 0.918023i | \(0.629785\pi\) | |||||||
\(692\) | 328.098 | 0.474129 | ||||||||
\(693\) | 769.332 | + | 396.505i | 1.11015 | + | 0.572157i | ||||
\(694\) | 558.000 | 0.804035 | ||||||||
\(695\) | 124.451 | − | 181.417i | 0.179066 | − | 0.261031i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 653.067i | − | 0.936968i | ||||||
\(698\) | −359.210 | −0.514628 | ||||||||
\(699\) | −136.000 | + | 560.742i | −0.194564 | + | 0.802207i | ||||
\(700\) | 272.000 | − | 104.957i | 0.388571 | − | 0.149939i | ||||
\(701\) | − | 57.7235i | − | 0.0823445i | −0.999152 | − | 0.0411722i | \(-0.986891\pi\) | ||
0.999152 | − | 0.0411722i | \(-0.0131092\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 279.886i | 0.398130i | ||||||||
\(704\) | 131.939i | 0.187414i | ||||||||
\(705\) | −354.289 | − | 394.625i | −0.502538 | − | 0.559752i | ||||
\(706\) | 488.000 | 0.691218 | ||||||||
\(707\) | −769.332 | −1.08816 | ||||||||
\(708\) | 96.1665 | + | 23.3238i | 0.135828 | + | 0.0329432i | ||||
\(709\) | 1230.00 | 1.73484 | 0.867419 | − | 0.497579i | \(-0.165777\pi\) | ||||
0.867419 | + | 0.497579i | \(0.165777\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 576.000 | + | 296.864i | 0.810127 | + | 0.417530i | ||||
\(712\) | 186.590i | 0.262065i | ||||||||
\(713\) | 769.332 | 1.07901 | ||||||||
\(714\) | −272.000 | − | 65.9697i | −0.380952 | − | 0.0923945i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 32.9848i | 0.0460682i | ||||||||
\(717\) | −1346.33 | − | 326.533i | −1.87773 | − | 0.455416i | ||||
\(718\) | − | 559.771i | − | 0.779626i | ||||||
\(719\) | 626.712i | 0.871644i | 0.900033 | + | 0.435822i | \(0.143542\pi\) | ||||
−0.900033 | + | 0.435822i | \(0.856458\pi\) | |||||||
\(720\) | −158.510 | + | 85.2918i | −0.220152 | + | 0.118461i | ||||
\(721\) | 578.000 | 0.801664 | ||||||||
\(722\) | 306.884 | 0.425048 | ||||||||
\(723\) | 214.960 | − | 886.305i | 0.297317 | − | 1.22587i | ||||
\(724\) | −164.000 | −0.226519 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 151.000 | − | 622.589i | 0.207989 | − | 0.857561i | ||||
\(727\) | 367.350i | 0.505296i | 0.967558 | + | 0.252648i | \(0.0813014\pi\) | ||||
−0.967558 | + | 0.252648i | \(0.918699\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −104.000 | − | 721.543i | −0.142661 | − | 0.989772i | ||||
\(730\) | −680.000 | − | 466.476i | −0.931507 | − | 0.639008i | ||||
\(731\) | − | 461.788i | − | 0.631721i | ||||||
\(732\) | −22.6274 | + | 93.2952i | −0.0309118 | + | 0.127453i | ||||
\(733\) | 1002.92i | 1.36825i | 0.729367 | + | 0.684123i | \(0.239815\pi\) | ||||
−0.729367 | + | 0.684123i | \(0.760185\pi\) | |||||||
\(734\) | 585.481i | 0.797658i | ||||||||
\(735\) | −150.312 | − | 167.425i | −0.204506 | − | 0.227790i | ||||
\(736\) | 136.000 | 0.184783 | ||||||||
\(737\) | 96.1665 | 0.130484 | ||||||||
\(738\) | 336.583 | − | 653.067i | 0.456074 | − | 0.884914i | ||||
\(739\) | −340.000 | −0.460081 | −0.230041 | − | 0.973181i | \(-0.573886\pi\) | ||||
−0.230041 | + | 0.973181i | \(0.573886\pi\) | |||||||
\(740\) | 192.333 | + | 131.939i | 0.259910 | + | 0.178296i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 559.771i | 0.754409i | ||||||||
\(743\) | −1243.09 | −1.67307 | −0.836537 | − | 0.547911i | \(-0.815423\pi\) | ||||
−0.836537 | + | 0.547911i | \(0.815423\pi\) | |||||||
\(744\) | 64.0000 | − | 263.879i | 0.0860215 | − | 0.354676i | ||||
\(745\) | −34.0000 | − | 23.3238i | −0.0456376 | − | 0.0313071i | ||||
\(746\) | 890.591i | 1.19382i | ||||||||
\(747\) | −350.725 | − | 180.760i | −0.469511 | − | 0.241981i | ||||
\(748\) | 373.181i | 0.498905i | ||||||||
\(749\) | 321.602i | 0.429375i | ||||||||
\(750\) | 240.622 | − | 472.600i | 0.320830 | − | 0.630133i | ||||
\(751\) | −520.000 | −0.692410 | −0.346205 | − | 0.938159i | \(-0.612530\pi\) | ||||
−0.346205 | + | 0.938159i | \(0.612530\pi\) | |||||||
\(752\) | 141.421 | 0.188060 | ||||||||
\(753\) | 1009.75 | + | 244.900i | 1.34097 | + | 0.325232i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 384.666 | − | 560.742i | 0.509492 | − | 0.742705i | ||||
\(756\) | −238.000 | − | 206.155i | −0.314815 | − | 0.272692i | ||||
\(757\) | − | 816.333i | − | 1.07838i | −0.842184 | − | 0.539190i | \(-0.818731\pi\) | ||
0.842184 | − | 0.539190i | \(-0.181269\pi\) | |||||||
\(758\) | 808.930 | 1.06719 | ||||||||
\(759\) | −1156.00 | − | 280.371i | −1.52306 | − | 0.369395i | ||||
\(760\) | −96.0000 | + | 139.943i | −0.126316 | + | 0.184135i | ||||
\(761\) | 395.818i | 0.520129i | 0.965591 | + | 0.260064i | \(0.0837438\pi\) | ||||
−0.965591 | + | 0.260064i | \(0.916256\pi\) | |||||||
\(762\) | −168.291 | − | 40.8167i | −0.220855 | − | 0.0535652i | ||||
\(763\) | 466.476i | 0.611371i | ||||||||
\(764\) | − | 593.727i | − | 0.777130i | ||||||
\(765\) | −448.333 | + | 241.242i | −0.586056 | + | 0.315348i | ||||
\(766\) | −274.000 | −0.357702 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 11.3137 | − | 46.6476i | 0.0147314 | − | 0.0607391i | ||||
\(769\) | −306.000 | −0.397919 | −0.198960 | − | 0.980008i | \(-0.563756\pi\) | ||||
−0.198960 | + | 0.980008i | \(0.563756\pi\) | |||||||
\(770\) | 384.666 | − | 560.742i | 0.499566 | − | 0.728237i | ||||
\(771\) | −276.000 | + | 1137.98i | −0.357977 | + | 1.47598i | ||||
\(772\) | 233.238i | 0.302122i | ||||||||
\(773\) | −305.470 | −0.395175 | −0.197587 | − | 0.980285i | \(-0.563311\pi\) | ||||
−0.197587 | + | 0.980285i | \(0.563311\pi\) | |||||||
\(774\) | 238.000 | − | 461.788i | 0.307494 | − | 0.596625i | ||||
\(775\) | 288.000 | + | 746.362i | 0.371613 | + | 0.963048i | ||||
\(776\) | 461.788i | 0.595087i | ||||||||
\(777\) | −96.1665 | + | 396.505i | −0.123766 | + | 0.510302i | ||||
\(778\) | 548.109i | 0.704511i | ||||||||