Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(979,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.979");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.c (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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 979.17 | ||
Character | \(\chi\) | \(=\) | 980.979 |
Dual form | 980.2.c.e.979.20 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.576258 | − | 1.29148i | −0.407476 | − | 0.913216i | ||||
\(3\) | − | 2.50150i | − | 1.44424i | −0.691767 | − | 0.722120i | \(-0.743168\pi\) | ||
0.691767 | − | 0.722120i | \(-0.256832\pi\) | |||||||
\(4\) | −1.33585 | + | 1.48845i | −0.667927 | + | 0.744227i | ||||
\(5\) | −0.639901 | + | 2.14255i | −0.286172 | + | 0.958178i | ||||
\(6\) | −3.23064 | + | 1.44151i | −1.31890 | + | 0.588493i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.69211 | + | 0.867500i | 0.951804 | + | 0.306708i | ||||
\(9\) | −3.25749 | −1.08583 | ||||||||
\(10\) | 3.13582 | − | 0.408241i | 0.991632 | − | 0.129097i | ||||
\(11\) | − | 2.25026i | − | 0.678480i | −0.940700 | − | 0.339240i | \(-0.889830\pi\) | ||
0.940700 | − | 0.339240i | \(-0.110170\pi\) | |||||||
\(12\) | 3.72336 | + | 3.34164i | 1.07484 | + | 0.964648i | ||||
\(13\) | 5.96620 | 1.65472 | 0.827362 | − | 0.561668i | \(-0.189840\pi\) | ||||
0.827362 | + | 0.561668i | \(0.189840\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.35959 | + | 1.60071i | 1.38384 | + | 0.413302i | ||||
\(16\) | −0.430987 | − | 3.97671i | −0.107747 | − | 0.994178i | ||||
\(17\) | −2.00749 | −0.486887 | −0.243443 | − | 0.969915i | \(-0.578277\pi\) | ||||
−0.243443 | + | 0.969915i | \(0.578277\pi\) | |||||||
\(18\) | 1.87716 | + | 4.20700i | 0.442450 | + | 0.991599i | ||||
\(19\) | 7.81989 | 1.79400 | 0.897002 | − | 0.442026i | \(-0.145740\pi\) | ||||
0.897002 | + | 0.442026i | \(0.145740\pi\) | |||||||
\(20\) | −2.33427 | − | 3.81460i | −0.521960 | − | 0.852970i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.90618 | + | 1.29673i | −0.619599 | + | 0.276464i | ||||
\(23\) | 2.99226 | 0.623930 | 0.311965 | − | 0.950094i | \(-0.399013\pi\) | ||||
0.311965 | + | 0.950094i | \(0.399013\pi\) | |||||||
\(24\) | 2.17005 | − | 6.73430i | 0.442960 | − | 1.37463i | ||||
\(25\) | −4.18105 | − | 2.74204i | −0.836211 | − | 0.548408i | ||||
\(26\) | −3.43807 | − | 7.70524i | −0.674260 | − | 1.51112i | ||||
\(27\) | 0.644123i | 0.123962i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.87936 | −0.906074 | −0.453037 | − | 0.891492i | \(-0.649659\pi\) | ||||
−0.453037 | + | 0.891492i | \(0.649659\pi\) | |||||||
\(30\) | −1.02122 | − | 7.84424i | −0.186448 | − | 1.43216i | ||||
\(31\) | −1.49990 | −0.269391 | −0.134695 | − | 0.990887i | \(-0.543006\pi\) | ||||
−0.134695 | + | 0.990887i | \(0.543006\pi\) | |||||||
\(32\) | −4.88750 | + | 2.84822i | −0.863996 | + | 0.503500i | ||||
\(33\) | −5.62903 | −0.979888 | ||||||||
\(34\) | 1.15683 | + | 2.59263i | 0.198395 | + | 0.444633i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.35154 | − | 4.84863i | 0.725256 | − | 0.808105i | ||||
\(37\) | − | 4.78601i | − | 0.786816i | −0.919364 | − | 0.393408i | \(-0.871296\pi\) | ||
0.919364 | − | 0.393408i | \(-0.128704\pi\) | |||||||
\(38\) | −4.50627 | − | 10.0992i | −0.731013 | − | 1.63831i | ||||
\(39\) | − | 14.9244i | − | 2.38982i | ||||||
\(40\) | −3.58134 | + | 5.21287i | −0.566260 | + | 0.824226i | ||||
\(41\) | 8.82927i | 1.37890i | 0.724333 | + | 0.689450i | \(0.242148\pi\) | ||||
−0.724333 | + | 0.689450i | \(0.757852\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.12695 | −0.171858 | −0.0859292 | − | 0.996301i | \(-0.527386\pi\) | ||||
−0.0859292 | + | 0.996301i | \(0.527386\pi\) | |||||||
\(44\) | 3.34941 | + | 3.00602i | 0.504943 | + | 0.453175i | ||||
\(45\) | 2.08447 | − | 6.97935i | 0.310735 | − | 1.04042i | ||||
\(46\) | −1.72431 | − | 3.86446i | −0.254236 | − | 0.569783i | ||||
\(47\) | − | 9.56972i | − | 1.39589i | −0.716153 | − | 0.697943i | \(-0.754099\pi\) | ||
0.716153 | − | 0.697943i | \(-0.245901\pi\) | |||||||
\(48\) | −9.94774 | + | 1.07811i | −1.43583 | + | 0.155612i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.13193 | + | 6.97988i | −0.160079 | + | 0.987104i | ||||
\(51\) | 5.02172i | 0.703182i | ||||||||
\(52\) | −7.96997 | + | 8.88040i | −1.10524 | + | 1.23149i | ||||
\(53\) | − | 7.06264i | − | 0.970129i | −0.874478 | − | 0.485064i | \(-0.838796\pi\) | ||
0.874478 | − | 0.485064i | \(-0.161204\pi\) | |||||||
\(54\) | 0.831874 | − | 0.371181i | 0.113204 | − | 0.0505113i | ||||
\(55\) | 4.82131 | + | 1.43994i | 0.650105 | + | 0.194162i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 19.5614i | − | 2.59098i | ||||||
\(58\) | 2.81177 | + | 6.30161i | 0.369203 | + | 0.827441i | ||||
\(59\) | 11.4057 | 1.48490 | 0.742450 | − | 0.669901i | \(-0.233663\pi\) | ||||
0.742450 | + | 0.669901i | \(0.233663\pi\) | |||||||
\(60\) | −9.54221 | + | 5.83918i | −1.23189 | + | 0.753835i | ||||
\(61\) | − | 1.21986i | − | 0.156187i | −0.996946 | − | 0.0780935i | \(-0.975117\pi\) | ||
0.996946 | − | 0.0780935i | \(-0.0248833\pi\) | |||||||
\(62\) | 0.864331 | + | 1.93710i | 0.109770 | + | 0.246012i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.49489 | + | 4.67081i | 0.811861 | + | 0.583851i | ||||
\(65\) | −3.81777 | + | 12.7829i | −0.473536 | + | 1.58552i | ||||
\(66\) | 3.24377 | + | 7.26979i | 0.399281 | + | 0.894850i | ||||
\(67\) | −1.11485 | −0.136200 | −0.0681000 | − | 0.997678i | \(-0.521694\pi\) | ||||
−0.0681000 | + | 0.997678i | \(0.521694\pi\) | |||||||
\(68\) | 2.68171 | − | 2.98805i | 0.325205 | − | 0.362354i | ||||
\(69\) | − | 7.48514i | − | 0.901105i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 8.40090i | − | 0.997003i | −0.866889 | − | 0.498501i | \(-0.833884\pi\) | ||
0.866889 | − | 0.498501i | \(-0.166116\pi\) | |||||||
\(72\) | −8.76953 | − | 2.82588i | −1.03350 | − | 0.333033i | ||||
\(73\) | 5.88062 | 0.688274 | 0.344137 | − | 0.938919i | \(-0.388172\pi\) | ||||
0.344137 | + | 0.938919i | \(0.388172\pi\) | |||||||
\(74\) | −6.18105 | + | 2.75798i | −0.718533 | + | 0.320608i | ||||
\(75\) | −6.85921 | + | 10.4589i | −0.792033 | + | 1.20769i | ||||
\(76\) | −10.4462 | + | 11.6395i | −1.19826 | + | 1.33515i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −19.2746 | + | 8.60032i | −2.18242 | + | 0.973794i | ||||
\(79\) | − | 12.1357i | − | 1.36537i | −0.730711 | − | 0.682687i | \(-0.760811\pi\) | ||
0.730711 | − | 0.682687i | \(-0.239189\pi\) | |||||||
\(80\) | 8.79610 | + | 1.62129i | 0.983434 | + | 0.181266i | ||||
\(81\) | −8.16121 | −0.906801 | ||||||||
\(82\) | 11.4028 | − | 5.08793i | 1.25923 | − | 0.561868i | ||||
\(83\) | 11.1319i | 1.22188i | 0.791677 | + | 0.610940i | \(0.209208\pi\) | ||||
−0.791677 | + | 0.610940i | \(0.790792\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.28459 | − | 4.30114i | 0.139334 | − | 0.466524i | ||||
\(86\) | 0.649414 | + | 1.45544i | 0.0700281 | + | 0.156944i | ||||
\(87\) | 12.2057i | 1.30859i | ||||||||
\(88\) | 1.95210 | − | 6.05795i | 0.208095 | − | 0.645780i | ||||
\(89\) | 4.57883i | 0.485355i | 0.970107 | + | 0.242677i | \(0.0780256\pi\) | ||||
−0.970107 | + | 0.242677i | \(0.921974\pi\) | |||||||
\(90\) | −10.2149 | + | 1.32984i | −1.07675 | + | 0.140178i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.99723 | + | 4.45385i | −0.416740 | + | 0.464345i | ||||
\(93\) | 3.75201i | 0.389065i | ||||||||
\(94\) | −12.3591 | + | 5.51462i | −1.27475 | + | 0.568790i | ||||
\(95\) | −5.00395 | + | 16.7545i | −0.513394 | + | 1.71898i | ||||
\(96\) | 7.12483 | + | 12.2261i | 0.727175 | + | 1.24782i | ||||
\(97\) | 4.62008 | 0.469098 | 0.234549 | − | 0.972104i | \(-0.424639\pi\) | ||||
0.234549 | + | 0.972104i | \(0.424639\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.33022i | 0.736715i | ||||||||
\(100\) | 9.66668 | − | 2.56034i | 0.966668 | − | 0.256034i | ||||
\(101\) | − | 0.111126i | − | 0.0110574i | −0.999985 | − | 0.00552872i | \(-0.998240\pi\) | ||
0.999985 | − | 0.00552872i | \(-0.00175986\pi\) | |||||||
\(102\) | 6.48547 | − | 2.89381i | 0.642157 | − | 0.286530i | ||||
\(103\) | − | 12.9119i | − | 1.27224i | −0.771588 | − | 0.636122i | \(-0.780537\pi\) | ||
0.771588 | − | 0.636122i | \(-0.219463\pi\) | |||||||
\(104\) | 16.0616 | + | 5.17567i | 1.57497 | + | 0.507517i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.12128 | + | 4.06990i | −0.885937 | + | 0.395304i | ||||
\(107\) | −14.6070 | −1.41211 | −0.706056 | − | 0.708156i | \(-0.749527\pi\) | ||||
−0.706056 | + | 0.708156i | \(0.749527\pi\) | |||||||
\(108\) | −0.958748 | − | 0.860455i | −0.0922555 | − | 0.0827973i | ||||
\(109\) | 4.45913 | 0.427107 | 0.213553 | − | 0.976931i | \(-0.431496\pi\) | ||||
0.213553 | + | 0.976931i | \(0.431496\pi\) | |||||||
\(110\) | −0.918650 | − | 7.05641i | −0.0875899 | − | 0.672802i | ||||
\(111\) | −11.9722 | −1.13635 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 2.30454i | − | 0.216793i | −0.994108 | − | 0.108397i | \(-0.965428\pi\) | ||
0.994108 | − | 0.108397i | \(-0.0345717\pi\) | |||||||
\(114\) | −25.2632 | + | 11.2724i | −2.36612 | + | 1.05576i | ||||
\(115\) | −1.91475 | + | 6.41108i | −0.178551 | + | 0.597836i | ||||
\(116\) | 6.51811 | − | 7.26270i | 0.605191 | − | 0.674324i | ||||
\(117\) | −19.4349 | −1.79675 | ||||||||
\(118\) | −6.57265 | − | 14.7303i | −0.605061 | − | 1.35604i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 13.0400 | + | 8.95873i | 1.19038 | + | 0.817816i | ||||
\(121\) | 5.93632 | 0.539665 | ||||||||
\(122\) | −1.57543 | + | 0.702953i | −0.142632 | + | 0.0636424i | ||||
\(123\) | 22.0864 | 1.99146 | ||||||||
\(124\) | 2.00365 | − | 2.23254i | 0.179933 | − | 0.200488i | ||||
\(125\) | 8.55042 | − | 7.20349i | 0.764773 | − | 0.644300i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.18242 | 0.548601 | 0.274300 | − | 0.961644i | \(-0.411554\pi\) | ||||
0.274300 | + | 0.961644i | \(0.411554\pi\) | |||||||
\(128\) | 2.28954 | − | 11.0796i | 0.202368 | − | 0.979309i | ||||
\(129\) | 2.81907i | 0.248205i | ||||||||
\(130\) | 18.7089 | − | 2.43565i | 1.64088 | − | 0.213620i | ||||
\(131\) | −8.16897 | −0.713726 | −0.356863 | − | 0.934157i | \(-0.616154\pi\) | ||||
−0.356863 | + | 0.934157i | \(0.616154\pi\) | |||||||
\(132\) | 7.51956 | − | 8.37855i | 0.654494 | − | 0.729259i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.642438 | + | 1.43980i | 0.0554982 | + | 0.124380i | ||||
\(135\) | −1.38007 | − | 0.412175i | −0.118777 | − | 0.0354744i | ||||
\(136\) | −5.40437 | − | 1.74149i | −0.463421 | − | 0.149332i | ||||
\(137\) | 7.07703i | 0.604631i | 0.953208 | + | 0.302316i | \(0.0977597\pi\) | ||||
−0.953208 | + | 0.302316i | \(0.902240\pi\) | |||||||
\(138\) | −9.66693 | + | 4.31337i | −0.822904 | + | 0.367179i | ||||
\(139\) | −14.4633 | −1.22676 | −0.613382 | − | 0.789787i | \(-0.710191\pi\) | ||||
−0.613382 | + | 0.789787i | \(0.710191\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −23.9386 | −2.01600 | ||||||||
\(142\) | −10.8496 | + | 4.84108i | −0.910479 | + | 0.406254i | ||||
\(143\) | − | 13.4255i | − | 1.12270i | ||||||
\(144\) | 1.40394 | + | 12.9541i | 0.116995 | + | 1.07951i | ||||
\(145\) | 3.12230 | − | 10.4543i | 0.259293 | − | 0.868180i | ||||
\(146\) | −3.38875 | − | 7.59471i | −0.280455 | − | 0.628543i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.12376 | + | 6.39342i | 0.585569 | + | 0.525536i | ||||
\(149\) | 19.6566 | 1.61033 | 0.805164 | − | 0.593053i | \(-0.202077\pi\) | ||||
0.805164 | + | 0.593053i | \(0.202077\pi\) | |||||||
\(150\) | 17.4602 | + | 2.83153i | 1.42562 | + | 0.231193i | ||||
\(151\) | 17.4157i | 1.41727i | 0.705574 | + | 0.708636i | \(0.250689\pi\) | ||||
−0.705574 | + | 0.708636i | \(0.749311\pi\) | |||||||
\(152\) | 21.0520 | + | 6.78375i | 1.70754 | + | 0.550235i | ||||
\(153\) | 6.53938 | 0.528677 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.959789 | − | 3.21362i | 0.0770921 | − | 0.258124i | ||||
\(156\) | 22.2143 | + | 19.9369i | 1.77857 | + | 1.59623i | ||||
\(157\) | 6.86058 | 0.547534 | 0.273767 | − | 0.961796i | \(-0.411730\pi\) | ||||
0.273767 | + | 0.961796i | \(0.411730\pi\) | |||||||
\(158\) | −15.6731 | + | 6.99330i | −1.24688 | + | 0.556357i | ||||
\(159\) | −17.6672 | −1.40110 | ||||||||
\(160\) | −2.97495 | − | 12.2943i | −0.235191 | − | 0.971949i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 4.70296 | + | 10.5401i | 0.369499 | + | 0.828105i | ||||
\(163\) | −2.86934 | −0.224744 | −0.112372 | − | 0.993666i | \(-0.535845\pi\) | ||||
−0.112372 | + | 0.993666i | \(0.535845\pi\) | |||||||
\(164\) | −13.1420 | − | 11.7946i | −1.02621 | − | 0.921005i | ||||
\(165\) | 3.60202 | − | 12.0605i | 0.280417 | − | 0.938908i | ||||
\(166\) | 14.3766 | − | 6.41482i | 1.11584 | − | 0.497886i | ||||
\(167\) | − | 15.9389i | − | 1.23339i | −0.787204 | − | 0.616693i | \(-0.788472\pi\) | ||
0.787204 | − | 0.616693i | \(-0.211528\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 22.5955 | 1.73811 | ||||||||
\(170\) | −6.29511 | + | 0.819539i | −0.482813 | + | 0.0628558i | ||||
\(171\) | −25.4732 | −1.94799 | ||||||||
\(172\) | 1.50544 | − | 1.67741i | 0.114789 | − | 0.127902i | ||||
\(173\) | 1.02406 | 0.0778580 | 0.0389290 | − | 0.999242i | \(-0.487605\pi\) | ||||
0.0389290 | + | 0.999242i | \(0.487605\pi\) | |||||||
\(174\) | 15.7635 | − | 7.03363i | 1.19502 | − | 0.533218i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −8.94865 | + | 0.969834i | −0.674530 | + | 0.0731040i | ||||
\(177\) | − | 28.5314i | − | 2.14455i | ||||||
\(178\) | 5.91348 | − | 2.63858i | 0.443234 | − | 0.197770i | ||||
\(179\) | − | 4.19778i | − | 0.313757i | −0.987618 | − | 0.156878i | \(-0.949857\pi\) | ||
0.987618 | − | 0.156878i | \(-0.0501431\pi\) | |||||||
\(180\) | 7.60389 | + | 12.4260i | 0.566760 | + | 0.926182i | ||||
\(181\) | − | 5.33135i | − | 0.396276i | −0.980174 | − | 0.198138i | \(-0.936511\pi\) | ||
0.980174 | − | 0.198138i | \(-0.0634894\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.05148 | −0.225572 | ||||||||
\(184\) | 8.05550 | + | 2.59579i | 0.593859 | + | 0.191364i | ||||
\(185\) | 10.2543 | + | 3.06257i | 0.753910 | + | 0.225165i | ||||
\(186\) | 4.84565 | − | 2.16212i | 0.355300 | − | 0.158535i | ||||
\(187\) | 4.51737i | 0.330343i | ||||||||
\(188\) | 14.2441 | + | 12.7837i | 1.03886 | + | 0.932350i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 24.5217 | − | 3.19240i | 1.77899 | − | 0.231601i | ||||
\(191\) | 16.7444i | 1.21158i | 0.795624 | + | 0.605791i | \(0.207143\pi\) | ||||
−0.795624 | + | 0.605791i | \(0.792857\pi\) | |||||||
\(192\) | 11.6840 | − | 16.2470i | 0.843221 | − | 1.17252i | ||||
\(193\) | − | 15.5425i | − | 1.11877i | −0.828907 | − | 0.559386i | \(-0.811037\pi\) | ||
0.828907 | − | 0.559386i | \(-0.188963\pi\) | |||||||
\(194\) | −2.66235 | − | 5.96675i | −0.191146 | − | 0.428387i | ||||
\(195\) | 31.9764 | + | 9.55015i | 2.28987 | + | 0.683900i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.4069i | 0.741463i | 0.928740 | + | 0.370731i | \(0.120893\pi\) | ||||
−0.928740 | + | 0.370731i | \(0.879107\pi\) | |||||||
\(198\) | 9.46685 | − | 4.22410i | 0.672780 | − | 0.300193i | ||||
\(199\) | 15.4520 | 1.09536 | 0.547681 | − | 0.836687i | \(-0.315511\pi\) | ||||
0.547681 | + | 0.836687i | \(0.315511\pi\) | |||||||
\(200\) | −8.87713 | − | 11.0089i | −0.627708 | − | 0.778449i | ||||
\(201\) | 2.78879i | 0.196706i | ||||||||
\(202\) | −0.143517 | + | 0.0640372i | −0.0100978 | + | 0.00450564i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −7.47460 | − | 6.70829i | −0.523327 | − | 0.469674i | ||||
\(205\) | −18.9172 | − | 5.64985i | −1.32123 | − | 0.394603i | ||||
\(206\) | −16.6755 | + | 7.44056i | −1.16183 | + | 0.518409i | ||||
\(207\) | −9.74728 | −0.677483 | ||||||||
\(208\) | −2.57135 | − | 23.7258i | −0.178291 | − | 1.64509i | ||||
\(209\) | − | 17.5968i | − | 1.21720i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 10.3988i | − | 0.715879i | −0.933745 | − | 0.357940i | \(-0.883479\pi\) | ||
0.933745 | − | 0.357940i | \(-0.116521\pi\) | |||||||
\(212\) | 10.5124 | + | 9.43466i | 0.721996 | + | 0.647975i | ||||
\(213\) | −21.0148 | −1.43991 | ||||||||
\(214\) | 8.41740 | + | 18.8647i | 0.575402 | + | 1.28956i | ||||
\(215\) | 0.721137 | − | 2.41455i | 0.0491811 | − | 0.164671i | ||||
\(216\) | −0.558777 | + | 1.73405i | −0.0380200 | + | 0.117987i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −2.56960 | − | 5.75888i | −0.174036 | − | 0.390041i | ||||
\(219\) | − | 14.7104i | − | 0.994034i | ||||||
\(220\) | −8.58385 | + | 5.25273i | −0.578723 | + | 0.354139i | ||||
\(221\) | −11.9771 | −0.805664 | ||||||||
\(222\) | 6.89908 | + | 15.4619i | 0.463036 | + | 1.03773i | ||||
\(223\) | − | 11.3655i | − | 0.761093i | −0.924762 | − | 0.380547i | \(-0.875736\pi\) | ||
0.924762 | − | 0.380547i | \(-0.124264\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 13.6198 | + | 8.93218i | 0.907984 | + | 0.595479i | ||||
\(226\) | −2.97628 | + | 1.32801i | −0.197979 | + | 0.0883380i | ||||
\(227\) | − | 6.17093i | − | 0.409579i | −0.978806 | − | 0.204790i | \(-0.934349\pi\) | ||
0.978806 | − | 0.204790i | \(-0.0656510\pi\) | |||||||
\(228\) | 29.1163 | + | 26.1312i | 1.92827 | + | 1.73058i | ||||
\(229\) | 8.28601i | 0.547555i | 0.961793 | + | 0.273778i | \(0.0882732\pi\) | ||||
−0.961793 | + | 0.273778i | \(0.911727\pi\) | |||||||
\(230\) | 9.38319 | − | 1.22157i | 0.618709 | − | 0.0805477i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −13.1358 | − | 4.23284i | −0.862405 | − | 0.277900i | ||||
\(233\) | 14.0909i | 0.923124i | 0.887108 | + | 0.461562i | \(0.152711\pi\) | ||||
−0.887108 | + | 0.461562i | \(0.847289\pi\) | |||||||
\(234\) | 11.1995 | + | 25.0998i | 0.732133 | + | 1.64082i | ||||
\(235\) | 20.5036 | + | 6.12367i | 1.33751 | + | 0.399464i | ||||
\(236\) | −15.2364 | + | 16.9769i | −0.991806 | + | 1.10510i | ||||
\(237\) | −30.3575 | −1.97193 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 8.30653i | − | 0.537305i | −0.963237 | − | 0.268652i | \(-0.913422\pi\) | ||
0.963237 | − | 0.268652i | \(-0.0865783\pi\) | |||||||
\(240\) | 4.05565 | − | 22.0034i | 0.261791 | − | 1.42032i | ||||
\(241\) | 25.7383i | 1.65795i | 0.559285 | + | 0.828975i | \(0.311076\pi\) | ||||
−0.559285 | + | 0.828975i | \(0.688924\pi\) | |||||||
\(242\) | −3.42085 | − | 7.66665i | −0.219900 | − | 0.492831i | ||||
\(243\) | 22.3476i | 1.43360i | ||||||||
\(244\) | 1.81570 | + | 1.62955i | 0.116239 | + | 0.104322i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −12.7275 | − | 28.5242i | −0.811473 | − | 1.81864i | ||||
\(247\) | 46.6550 | 2.96858 | ||||||||
\(248\) | −4.03790 | − | 1.30117i | −0.256407 | − | 0.0826241i | ||||
\(249\) | 27.8463 | 1.76469 | ||||||||
\(250\) | −14.2304 | − | 6.89165i | −0.900011 | − | 0.435866i | ||||
\(251\) | 4.80612 | 0.303360 | 0.151680 | − | 0.988430i | \(-0.451532\pi\) | ||||
0.151680 | + | 0.988430i | \(0.451532\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 6.73338i | − | 0.423324i | ||||||
\(254\) | −3.56267 | − | 7.98448i | −0.223541 | − | 0.500991i | ||||
\(255\) | −10.7593 | − | 3.21340i | −0.673774 | − | 0.201231i | ||||
\(256\) | −15.6285 | + | 3.42782i | −0.976781 | + | 0.214239i | ||||
\(257\) | −21.4125 | −1.33567 | −0.667837 | − | 0.744307i | \(-0.732780\pi\) | ||||
−0.667837 | + | 0.744307i | \(0.732780\pi\) | |||||||
\(258\) | 3.64078 | − | 1.62451i | 0.226665 | − | 0.101138i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −13.9267 | − | 22.7586i | −0.863699 | − | 1.41143i | ||||
\(261\) | 15.8945 | 0.983844 | ||||||||
\(262\) | 4.70743 | + | 10.5501i | 0.290826 | + | 0.651786i | ||||
\(263\) | −15.7285 | −0.969863 | −0.484931 | − | 0.874552i | \(-0.661155\pi\) | ||||
−0.484931 | + | 0.874552i | \(0.661155\pi\) | |||||||
\(264\) | −15.1540 | − | 4.88318i | −0.932662 | − | 0.300539i | ||||
\(265\) | 15.1321 | + | 4.51939i | 0.929556 | + | 0.277624i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.4539 | 0.700969 | ||||||||
\(268\) | 1.48927 | − | 1.65940i | 0.0909717 | − | 0.101364i | ||||
\(269\) | 1.39293i | 0.0849284i | 0.999098 | + | 0.0424642i | \(0.0135208\pi\) | ||||
−0.999098 | + | 0.0424642i | \(0.986479\pi\) | |||||||
\(270\) | 0.262958 | + | 2.01985i | 0.0160031 | + | 0.122924i | ||||
\(271\) | 14.2313 | 0.864492 | 0.432246 | − | 0.901756i | \(-0.357721\pi\) | ||||
0.432246 | + | 0.901756i | \(0.357721\pi\) | |||||||
\(272\) | 0.865200 | + | 7.98320i | 0.0524604 | + | 0.484052i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.13986 | − | 4.07819i | 0.552159 | − | 0.246373i | ||||
\(275\) | −6.17031 | + | 9.40847i | −0.372084 | + | 0.567352i | ||||
\(276\) | 11.1413 | + | 9.99906i | 0.670627 | + | 0.601873i | ||||
\(277\) | 21.0130i | 1.26255i | 0.775560 | + | 0.631273i | \(0.217467\pi\) | ||||
−0.775560 | + | 0.631273i | \(0.782533\pi\) | |||||||
\(278\) | 8.33460 | + | 18.6791i | 0.499876 | + | 1.12030i | ||||
\(279\) | 4.88593 | 0.292513 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.92163 | 0.233945 | 0.116972 | − | 0.993135i | \(-0.462681\pi\) | ||||
0.116972 | + | 0.993135i | \(0.462681\pi\) | |||||||
\(282\) | 13.7948 | + | 30.9163i | 0.821469 | + | 1.84104i | ||||
\(283\) | 1.20399i | 0.0715696i | 0.999360 | + | 0.0357848i | \(0.0113931\pi\) | ||||
−0.999360 | + | 0.0357848i | \(0.988607\pi\) | |||||||
\(284\) | 12.5043 | + | 11.2224i | 0.741996 | + | 0.665925i | ||||
\(285\) | 41.9114 | + | 12.5174i | 2.48262 | + | 0.741465i | ||||
\(286\) | −17.3388 | + | 7.73655i | −1.02527 | + | 0.457472i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 15.9210 | − | 9.27807i | 0.938154 | − | 0.546716i | ||||
\(289\) | −12.9700 | −0.762941 | ||||||||
\(290\) | −15.3008 | + | 1.99196i | −0.898492 | + | 0.116972i | ||||
\(291\) | − | 11.5571i | − | 0.677490i | ||||||
\(292\) | −7.85565 | + | 8.75302i | −0.459717 | + | 0.512232i | ||||
\(293\) | −14.4715 | −0.845433 | −0.422716 | − | 0.906262i | \(-0.638923\pi\) | ||||
−0.422716 | + | 0.906262i | \(0.638923\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.29854 | + | 24.4374i | −0.424937 | + | 1.42280i | ||||
\(296\) | 4.15187 | − | 12.8845i | 0.241322 | − | 0.748894i | ||||
\(297\) | 1.44945 | 0.0841054 | ||||||||
\(298\) | −11.3272 | − | 25.3861i | −0.656169 | − | 1.47058i | ||||
\(299\) | 17.8524 | 1.03243 | ||||||||
\(300\) | −6.40468 | − | 24.1812i | −0.369775 | − | 1.39610i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 22.4921 | − | 10.0359i | 1.29428 | − | 0.577504i | ||||
\(303\) | −0.277982 | −0.0159696 | ||||||||
\(304\) | −3.37027 | − | 31.0974i | −0.193298 | − | 1.78356i | ||||
\(305\) | 2.61361 | + | 0.780589i | 0.149655 | + | 0.0446964i | ||||
\(306\) | −3.76837 | − | 8.44549i | −0.215423 | − | 0.482797i | ||||
\(307\) | 24.7976i | 1.41527i | 0.706576 | + | 0.707637i | \(0.250239\pi\) | ||||
−0.706576 | + | 0.707637i | \(0.749761\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −32.2990 | −1.83743 | ||||||||
\(310\) | −4.70342 | + | 0.612323i | −0.267136 | + | 0.0347776i | ||||
\(311\) | −7.05694 | −0.400162 | −0.200081 | − | 0.979779i | \(-0.564121\pi\) | ||||
−0.200081 | + | 0.979779i | \(0.564121\pi\) | |||||||
\(312\) | 12.9469 | − | 40.1782i | 0.732976 | − | 2.27464i | ||||
\(313\) | 32.5746 | 1.84123 | 0.920613 | − | 0.390477i | \(-0.127690\pi\) | ||||
0.920613 | + | 0.390477i | \(0.127690\pi\) | |||||||
\(314\) | −3.95346 | − | 8.86032i | −0.223107 | − | 0.500017i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.0634 | + | 16.2115i | 1.01615 | + | 0.911971i | ||||
\(317\) | 22.3583i | 1.25577i | 0.778307 | + | 0.627884i | \(0.216079\pi\) | ||||
−0.778307 | + | 0.627884i | \(0.783921\pi\) | |||||||
\(318\) | 10.1809 | + | 22.8169i | 0.570914 | + | 1.27951i | ||||
\(319\) | 10.9798i | 0.614753i | ||||||||
\(320\) | −14.1635 | + | 10.9268i | −0.791765 | + | 0.610826i | ||||
\(321\) | 36.5394i | 2.03943i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.6983 | −0.873478 | ||||||||
\(324\) | 10.9022 | − | 12.1476i | 0.605677 | − | 0.674866i | ||||
\(325\) | −24.9450 | − | 16.3595i | −1.38370 | − | 0.907464i | ||||
\(326\) | 1.65348 | + | 3.70570i | 0.0915777 | + | 0.205240i | ||||
\(327\) | − | 11.1545i | − | 0.616845i | ||||||
\(328\) | −7.65939 | + | 23.7693i | −0.422919 | + | 1.31244i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −17.6516 | + | 2.29800i | −0.971689 | + | 0.126501i | ||||
\(331\) | 24.2144i | 1.33094i | 0.746424 | + | 0.665471i | \(0.231769\pi\) | ||||
−0.746424 | + | 0.665471i | \(0.768231\pi\) | |||||||
\(332\) | −16.5692 | − | 14.8705i | −0.909356 | − | 0.816127i | ||||
\(333\) | 15.5904i | 0.854350i | ||||||||
\(334\) | −20.5848 | + | 9.18489i | −1.12635 | + | 0.502575i | ||||
\(335\) | 0.713390 | − | 2.38861i | 0.0389767 | − | 0.130504i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.95685i | 0.433437i | 0.976234 | + | 0.216719i | \(0.0695354\pi\) | ||||
−0.976234 | + | 0.216719i | \(0.930465\pi\) | |||||||
\(338\) | −13.0208 | − | 29.1817i | −0.708239 | − | 1.58727i | ||||
\(339\) | −5.76482 | −0.313102 | ||||||||
\(340\) | 4.68602 | + | 7.65775i | 0.254135 | + | 0.415300i | ||||
\(341\) | 3.37518i | 0.182776i | ||||||||
\(342\) | 14.6791 | + | 32.8982i | 0.793757 | + | 1.77893i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.03387 | − | 0.977630i | −0.163576 | − | 0.0527103i | ||||
\(345\) | 16.0373 | + | 4.78975i | 0.863420 | + | 0.257871i | ||||
\(346\) | −0.590124 | − | 1.32256i | −0.0317252 | − | 0.0711012i | ||||
\(347\) | −19.8756 | −1.06698 | −0.533489 | − | 0.845807i | \(-0.679119\pi\) | ||||
−0.533489 | + | 0.845807i | \(0.679119\pi\) | |||||||
\(348\) | −18.1676 | − | 16.3050i | −0.973887 | − | 0.874042i | ||||
\(349\) | 12.8850i | 0.689719i | 0.938654 | + | 0.344859i | \(0.112073\pi\) | ||||
−0.938654 | + | 0.344859i | \(0.887927\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.84297i | 0.205122i | ||||||||
\(352\) | 6.40925 | + | 10.9982i | 0.341614 | + | 0.586204i | ||||
\(353\) | 8.34671 | 0.444250 | 0.222125 | − | 0.975018i | \(-0.428701\pi\) | ||||
0.222125 | + | 0.975018i | \(0.428701\pi\) | |||||||
\(354\) | −36.8479 | + | 16.4415i | −1.95844 | + | 0.873854i | ||||
\(355\) | 17.9994 | + | 5.37574i | 0.955306 | + | 0.285315i | ||||
\(356\) | −6.81537 | − | 6.11665i | −0.361214 | − | 0.324182i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.42136 | + | 2.41900i | −0.286528 | + | 0.127848i | ||||
\(359\) | 1.81996i | 0.0960538i | 0.998846 | + | 0.0480269i | \(0.0152933\pi\) | ||||
−0.998846 | + | 0.0480269i | \(0.984707\pi\) | |||||||
\(360\) | 11.6662 | − | 16.9809i | 0.614863 | − | 0.894971i | ||||
\(361\) | 42.1506 | 2.21845 | ||||||||
\(362\) | −6.88534 | + | 3.07223i | −0.361886 | + | 0.161473i | ||||
\(363\) | − | 14.8497i | − | 0.779406i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.76301 | + | 12.5995i | −0.196965 | + | 0.659489i | ||||
\(366\) | 1.75844 | + | 3.94093i | 0.0919149 | + | 0.205996i | ||||
\(367\) | − | 1.06984i | − | 0.0558451i | −0.999610 | − | 0.0279226i | \(-0.991111\pi\) | ||
0.999610 | − | 0.0279226i | \(-0.00888918\pi\) | |||||||
\(368\) | −1.28963 | − | 11.8994i | −0.0672264 | − | 0.620298i | ||||
\(369\) | − | 28.7613i | − | 1.49725i | ||||||
\(370\) | −1.95385 | − | 15.0081i | −0.101576 | − | 0.780232i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −5.58469 | − | 5.01213i | −0.289553 | − | 0.259867i | ||||
\(373\) | − | 13.1871i | − | 0.682803i | −0.939918 | − | 0.341401i | \(-0.889098\pi\) | ||
0.939918 | − | 0.341401i | \(-0.110902\pi\) | |||||||
\(374\) | 5.83411 | − | 2.60317i | 0.301675 | − | 0.134607i | ||||
\(375\) | −18.0195 | − | 21.3889i | −0.930524 | − | 1.10452i | ||||
\(376\) | 8.30173 | − | 25.7627i | 0.428129 | − | 1.32861i | ||||
\(377\) | −29.1112 | −1.49930 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.9854i | 0.872483i | 0.899830 | + | 0.436241i | \(0.143691\pi\) | ||||
−0.899830 | + | 0.436241i | \(0.856309\pi\) | |||||||
\(380\) | −18.2538 | − | 29.8297i | −0.936398 | − | 1.53023i | ||||
\(381\) | − | 15.4653i | − | 0.792312i | ||||||
\(382\) | 21.6251 | − | 9.64908i | 1.10644 | − | 0.493690i | ||||
\(383\) | − | 4.67572i | − | 0.238918i | −0.992839 | − | 0.119459i | \(-0.961884\pi\) | ||
0.992839 | − | 0.119459i | \(-0.0381160\pi\) | |||||||
\(384\) | −27.7157 | − | 5.72727i | −1.41436 | − | 0.292269i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −20.0728 | + | 8.95648i | −1.02168 | + | 0.455873i | ||||
\(387\) | 3.67104 | 0.186609 | ||||||||
\(388\) | −6.17175 | + | 6.87677i | −0.313323 | + | 0.349115i | ||||
\(389\) | −25.7985 | −1.30803 | −0.654017 | − | 0.756480i | \(-0.726918\pi\) | ||||
−0.654017 | + | 0.756480i | \(0.726918\pi\) | |||||||
\(390\) | −6.09277 | − | 46.8003i | −0.308519 | − | 2.36982i | ||||
\(391\) | −6.00693 | −0.303783 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 20.4347i | 1.03079i | ||||||||
\(394\) | 13.4404 | − | 5.99707i | 0.677116 | − | 0.302128i | ||||
\(395\) | 26.0014 | + | 7.76565i | 1.30827 | + | 0.390732i | ||||
\(396\) | −10.9107 | − | 9.79211i | −0.548283 | − | 0.492072i | ||||
\(397\) | −26.6167 | −1.33586 | −0.667928 | − | 0.744226i | \(-0.732818\pi\) | ||||
−0.667928 | + | 0.744226i | \(0.732818\pi\) | |||||||
\(398\) | −8.90433 | − | 19.9560i | −0.446334 | − | 1.00030i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.10233 | + | 17.8086i | −0.455116 | + | 0.890432i | ||||
\(401\) | −9.02978 | −0.450926 | −0.225463 | − | 0.974252i | \(-0.572389\pi\) | ||||
−0.225463 | + | 0.974252i | \(0.572389\pi\) | |||||||
\(402\) | 3.60167 | − | 1.60706i | 0.179635 | − | 0.0801528i | ||||
\(403\) | −8.94872 | −0.445767 | ||||||||
\(404\) | 0.165406 | + | 0.148448i | 0.00822925 | + | 0.00738557i | ||||
\(405\) | 5.22236 | − | 17.4858i | 0.259501 | − | 0.868877i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −10.7698 | −0.533839 | ||||||||
\(408\) | −4.35634 | + | 13.5190i | −0.215671 | + | 0.669291i | ||||
\(409\) | − | 3.41447i | − | 0.168834i | −0.996430 | − | 0.0844172i | \(-0.973097\pi\) | ||
0.996430 | − | 0.0844172i | \(-0.0269029\pi\) | |||||||
\(410\) | 3.60447 | + | 27.6870i | 0.178012 | + | 1.36736i | ||||
\(411\) | 17.7032 | 0.873233 | ||||||||
\(412\) | 19.2187 | + | 17.2484i | 0.946838 | + | 0.849766i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 5.61695 | + | 12.5884i | 0.276058 | + | 0.618688i | ||||
\(415\) | −23.8506 | − | 7.12328i | −1.17078 | − | 0.349668i | ||||
\(416\) | −29.1598 | + | 16.9931i | −1.42967 | + | 0.833153i | ||||
\(417\) | 36.1800i | 1.77174i | ||||||||
\(418\) | −22.7260 | + | 10.1403i | −1.11156 | + | 0.495978i | ||||
\(419\) | 15.7994 | 0.771850 | 0.385925 | − | 0.922530i | \(-0.373882\pi\) | ||||
0.385925 | + | 0.922530i | \(0.373882\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 20.8340 | 1.01538 | 0.507692 | − | 0.861538i | \(-0.330499\pi\) | ||||
0.507692 | + | 0.861538i | \(0.330499\pi\) | |||||||
\(422\) | −13.4298 | + | 5.99236i | −0.653753 | + | 0.291703i | ||||
\(423\) | 31.1733i | 1.51570i | ||||||||
\(424\) | 6.12684 | − | 19.0134i | 0.297546 | − | 0.923372i | ||||
\(425\) | 8.39341 | + | 5.50461i | 0.407140 | + | 0.267013i | ||||
\(426\) | 12.1100 | + | 27.1403i | 0.586729 | + | 1.31495i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 19.5128 | − | 21.7418i | 0.943188 | − | 1.05093i | ||||
\(429\) | −33.5839 | −1.62145 | ||||||||
\(430\) | −3.53391 | + | 0.460068i | −0.170420 | + | 0.0221865i | ||||
\(431\) | − | 27.5487i | − | 1.32697i | −0.748188 | − | 0.663487i | \(-0.769076\pi\) | ||
0.748188 | − | 0.663487i | \(-0.230924\pi\) | |||||||
\(432\) | 2.56149 | − | 0.277609i | 0.123240 | − | 0.0133565i | ||||
\(433\) | −2.28113 | −0.109624 | −0.0548121 | − | 0.998497i | \(-0.517456\pi\) | ||||
−0.0548121 | + | 0.998497i | \(0.517456\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −26.1514 | − | 7.81044i | −1.25386 | − | 0.374482i | ||||
\(436\) | −5.95674 | + | 6.63720i | −0.285276 | + | 0.317864i | ||||
\(437\) | 23.3992 | 1.11933 | ||||||||
\(438\) | −18.9982 | + | 8.47695i | −0.907768 | + | 0.405045i | ||||
\(439\) | 9.26625 | 0.442254 | 0.221127 | − | 0.975245i | \(-0.429027\pi\) | ||||
0.221127 | + | 0.975245i | \(0.429027\pi\) | |||||||
\(440\) | 11.7303 | + | 8.05897i | 0.559221 | + | 0.384196i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.90187 | + | 15.4682i | 0.328288 | + | 0.735745i | ||||
\(443\) | −27.3290 | −1.29844 | −0.649221 | − | 0.760600i | \(-0.724905\pi\) | ||||
−0.649221 | + | 0.760600i | \(0.724905\pi\) | |||||||
\(444\) | 15.9931 | − | 17.8201i | 0.759000 | − | 0.845703i | ||||
\(445\) | −9.81037 | − | 2.92999i | −0.465056 | − | 0.138895i | ||||
\(446\) | −14.6784 | + | 6.54948i | −0.695042 | + | 0.310127i | ||||
\(447\) | − | 49.1708i | − | 2.32570i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.5958 | 1.49110 | 0.745549 | − | 0.666451i | \(-0.232187\pi\) | ||||
0.745549 | + | 0.666451i | \(0.232187\pi\) | |||||||
\(450\) | 3.68726 | − | 22.7369i | 0.173819 | − | 1.07183i | ||||
\(451\) | 19.8682 | 0.935556 | ||||||||
\(452\) | 3.43021 | + | 3.07854i | 0.161343 | + | 0.144802i | ||||
\(453\) | 43.5654 | 2.04688 | ||||||||
\(454\) | −7.96965 | + | 3.55605i | −0.374034 | + | 0.166893i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 16.9695 | − | 52.6615i | 0.794672 | − | 2.46610i | ||||
\(457\) | − | 20.1137i | − | 0.940879i | −0.882432 | − | 0.470439i | \(-0.844095\pi\) | ||
0.882432 | − | 0.470439i | \(-0.155905\pi\) | |||||||
\(458\) | 10.7012 | − | 4.77488i | 0.500036 | − | 0.223115i | ||||
\(459\) | − | 1.29307i | − | 0.0603553i | ||||||
\(460\) | −6.98476 | − | 11.4143i | −0.325666 | − | 0.532194i | ||||
\(461\) | 1.57753i | 0.0734730i | 0.999325 | + | 0.0367365i | \(0.0116962\pi\) | ||||
−0.999325 | + | 0.0367365i | \(0.988304\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.7330 | 1.28886 | 0.644431 | − | 0.764663i | \(-0.277094\pi\) | ||||
0.644431 | + | 0.764663i | \(0.277094\pi\) | |||||||
\(464\) | 2.10294 | + | 19.4038i | 0.0976265 | + | 0.900799i | ||||
\(465\) | −8.03887 | − | 2.40091i | −0.372794 | − | 0.111340i | ||||
\(466\) | 18.1981 | − | 8.11998i | 0.843012 | − | 0.376151i | ||||
\(467\) | − | 9.24121i | − | 0.427632i | −0.976874 | − | 0.213816i | \(-0.931411\pi\) | ||
0.976874 | − | 0.213816i | \(-0.0685893\pi\) | |||||||
\(468\) | 25.9621 | − | 28.9279i | 1.20010 | − | 1.33719i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −3.90675 | − | 30.0089i | −0.180205 | − | 1.38421i | ||||
\(471\) | − | 17.1617i | − | 0.790771i | ||||||
\(472\) | 30.7055 | + | 9.89448i | 1.41333 | + | 0.455430i | ||||
\(473\) | 2.53594i | 0.116603i | ||||||||
\(474\) | 17.4937 | + | 39.2061i | 0.803513 | + | 1.80080i | ||||
\(475\) | −32.6954 | − | 21.4424i | −1.50017 | − | 0.983847i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 23.0065i | 1.05340i | ||||||||
\(478\) | −10.7277 | + | 4.78670i | −0.490675 | + | 0.218939i | ||||
\(479\) | −10.5454 | −0.481833 | −0.240916 | − | 0.970546i | \(-0.577448\pi\) | ||||
−0.240916 | + | 0.970546i | \(0.577448\pi\) | |||||||
\(480\) | −30.7542 | + | 7.44184i | −1.40373 | + | 0.339672i | ||||
\(481\) | − | 28.5543i | − | 1.30196i | ||||||
\(482\) | 33.2406 | − | 14.8319i | 1.51407 | − | 0.675575i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.93005 | + | 8.83593i | −0.360457 | + | 0.401633i | ||||
\(485\) | −2.95639 | + | 9.89875i | −0.134243 | + | 0.449479i | ||||
\(486\) | 28.8616 | − | 12.8780i | 1.30919 | − | 0.584158i | ||||
\(487\) | 18.0001 | 0.815661 | 0.407830 | − | 0.913058i | \(-0.366285\pi\) | ||||
0.407830 | + | 0.913058i | \(0.366285\pi\) | |||||||
\(488\) | 1.05823 | − | 3.28399i | 0.0479037 | − | 0.148659i | ||||
\(489\) | 7.17765i | 0.324584i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 0.704833i | − | 0.0318086i | −0.999874 | − | 0.0159043i | \(-0.994937\pi\) | ||
0.999874 | − | 0.0159043i | \(-0.00506272\pi\) | |||||||
\(492\) | −29.5042 | + | 32.8746i | −1.33015 | + | 1.48210i | ||||
\(493\) | 9.79524 | 0.441156 | ||||||||
\(494\) | −26.8853 | − | 60.2541i | −1.20963 | − | 2.71096i | ||||
\(495\) | −15.7054 | − | 4.69061i | −0.705904 | − | 0.210827i | ||||
\(496\) | 0.646439 | + | 5.96469i | 0.0290259 | + | 0.267822i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −16.0467 | − | 35.9630i | −0.719068 | − | 1.61154i | ||||
\(499\) | 6.53324i | 0.292468i | 0.989250 | + | 0.146234i | \(0.0467153\pi\) | ||||
−0.989250 | + | 0.146234i | \(0.953285\pi\) | |||||||
\(500\) | −0.700054 | + | 22.3497i | −0.0313074 | + | 0.999510i | ||||
\(501\) | −39.8710 | −1.78131 | ||||||||
\(502\) | −2.76956 | − | 6.20702i | −0.123612 | − | 0.277033i | ||||
\(503\) | 29.3454i | 1.30845i | 0.756301 | + | 0.654224i | \(0.227005\pi\) | ||||
−0.756301 | + | 0.654224i | \(0.772995\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.238093 | + | 0.0711096i | 0.0105950 | + | 0.00316433i | ||||
\(506\) | −8.69604 | + | 3.88016i | −0.386586 | + | 0.172494i | ||||
\(507\) | − | 56.5226i | − | 2.51026i | ||||||
\(508\) | −8.25881 | + | 9.20224i | −0.366425 | + | 0.408283i | ||||
\(509\) | 20.6256i | 0.914213i | 0.889412 | + | 0.457107i | \(0.151114\pi\) | ||||
−0.889412 | + | 0.457107i | \(0.848886\pi\) | |||||||
\(510\) | 2.05008 | + | 15.7472i | 0.0907789 | + | 0.697298i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 13.4330 | + | 18.2086i | 0.593661 | + | 0.804715i | ||||
\(513\) | 5.03697i | 0.222388i | ||||||||
\(514\) | 12.3391 | + | 27.6539i | 0.544255 | + | 1.21976i | ||||
\(515\) | 27.6643 | + | 8.26231i | 1.21904 | + | 0.364081i | ||||
\(516\) | −4.19605 | − | 3.76586i | −0.184721 | − | 0.165783i | ||||
\(517\) | −21.5344 | −0.947081 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 2.56169i | − | 0.112446i | ||||||
\(520\) | −21.3670 | + | 31.1010i | −0.937005 | + | 1.36387i | ||||
\(521\) | − | 5.87937i | − | 0.257580i | −0.991672 | − | 0.128790i | \(-0.958891\pi\) | ||
0.991672 | − | 0.128790i | \(-0.0411093\pi\) | |||||||
\(522\) | −9.15932 | − | 20.5274i | −0.400892 | − | 0.898462i | ||||
\(523\) | 23.1425i | 1.01195i | 0.862548 | + | 0.505975i | \(0.168867\pi\) | ||||
−0.862548 | + | 0.505975i | \(0.831133\pi\) | |||||||
\(524\) | 10.9125 | − | 12.1591i | 0.476717 | − | 0.531174i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.06369 | + | 20.3131i | 0.395196 | + | 0.885694i | ||||
\(527\) | 3.01104 | 0.131163 | ||||||||
\(528\) | 2.42604 | + | 22.3850i | 0.105580 | + | 0.974184i | ||||
\(529\) | −14.0464 | −0.610711 | ||||||||
\(530\) | −2.88326 | − | 22.1471i | −0.125241 | − | 0.962011i | ||||
\(531\) | −37.1541 | −1.61235 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 52.6771i | 2.28170i | ||||||||
\(534\) | −6.60042 | − | 14.7926i | −0.285628 | − | 0.640136i | ||||
\(535\) | 9.34703 | − | 31.2963i | 0.404107 | − | 1.35306i | ||||
\(536\) | −3.00129 | − | 0.967129i | −0.129636 | − | 0.0417736i | ||||
\(537\) | −10.5007 | −0.453141 | ||||||||
\(538\) | 1.79894 | − | 0.802686i | 0.0775580 | − | 0.0346062i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.45707 | − | 1.50356i | 0.105736 | − | 0.0647029i | ||||
\(541\) | 1.76517 | 0.0758907 | 0.0379453 | − | 0.999280i | \(-0.487919\pi\) | ||||
0.0379453 | + | 0.999280i | \(0.487919\pi\) | |||||||
\(542\) | −8.20092 | − | 18.3795i | −0.352260 | − | 0.789468i | ||||
\(543\) | −13.3364 | −0.572318 | ||||||||
\(544\) | 9.81158 | − | 5.71777i | 0.420668 | − | 0.245147i | ||||
\(545\) | −2.85340 | + | 9.55391i | −0.122226 | + | 0.409244i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −28.3140 | −1.21062 | −0.605310 | − | 0.795990i | \(-0.706951\pi\) | ||||
−0.605310 | + | 0.795990i | \(0.706951\pi\) | |||||||
\(548\) | −10.5338 | − | 9.45388i | −0.449983 | − | 0.403850i | ||||
\(549\) | 3.97369i | 0.169593i | ||||||||
\(550\) | 15.7066 | + | 2.54715i | 0.669730 | + | 0.108611i | ||||
\(551\) | −38.1560 | −1.62550 | ||||||||
\(552\) | 6.49336 | − | 20.1508i | 0.276376 | − | 0.857676i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 27.1379 | − | 12.1089i | 1.15298 | − | 0.514457i | ||||
\(555\) | 7.66102 | − | 25.6511i | 0.325192 | − | 1.08883i | ||||
\(556\) | 19.3209 | − | 21.5280i | 0.819388 | − | 0.912990i | ||||
\(557\) | 27.7580i | 1.17614i | 0.808808 | + | 0.588072i | \(0.200113\pi\) | ||||
−0.808808 | + | 0.588072i | \(0.799887\pi\) | |||||||
\(558\) | −2.81555 | − | 6.31009i | −0.119192 | − | 0.267127i | ||||
\(559\) | −6.72361 | −0.284378 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 11.3002 | 0.477095 | ||||||||
\(562\) | −2.25987 | − | 5.06472i | −0.0953269 | − | 0.213642i | ||||
\(563\) | 35.5787i | 1.49947i | 0.661741 | + | 0.749733i | \(0.269818\pi\) | ||||
−0.661741 | + | 0.749733i | \(0.730182\pi\) | |||||||
\(564\) | 31.9785 | − | 35.6315i | 1.34654 | − | 1.50036i | ||||
\(565\) | 4.93761 | + | 1.47468i | 0.207727 | + | 0.0620402i | ||||
\(566\) | 1.55493 | − | 0.693807i | 0.0653585 | − | 0.0291629i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.28778 | − | 22.6161i | 0.305788 | − | 0.948951i | ||||
\(569\) | 11.2535 | 0.471770 | 0.235885 | − | 0.971781i | \(-0.424201\pi\) | ||||
0.235885 | + | 0.971781i | \(0.424201\pi\) | |||||||
\(570\) | −7.98579 | − | 61.3410i | −0.334488 | − | 2.56929i | ||||
\(571\) | − | 0.667681i | − | 0.0279416i | −0.999902 | − | 0.0139708i | \(-0.995553\pi\) | ||
0.999902 | − | 0.0139708i | \(-0.00444718\pi\) | |||||||
\(572\) | 19.9832 | + | 17.9345i | 0.835541 | + | 0.749880i | ||||
\(573\) | 41.8861 | 1.74982 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.5108 | − | 8.20491i | −0.521737 | − | 0.342168i | ||||
\(576\) | −21.1571 | − | 15.2151i | −0.881544 | − | 0.633964i | ||||
\(577\) | −32.2214 | −1.34139 | −0.670696 | − | 0.741732i | \(-0.734005\pi\) | ||||
−0.670696 | + | 0.741732i | \(0.734005\pi\) | |||||||
\(578\) | 7.47406 | + | 16.7505i | 0.310880 | + | 0.696730i | ||||
\(579\) | −38.8795 | −1.61578 | ||||||||
\(580\) | 11.3898 | + | 18.6128i | 0.472934 | + | 0.772854i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −14.9258 | + | 6.65987i | −0.618695 | + | 0.276061i | ||||
\(583\) | −15.8928 | −0.658213 | ||||||||
\(584\) | 15.8313 | + | 5.10143i | 0.655102 | + | 0.211099i | ||||
\(585\) | 12.4364 | − | 41.6402i | 0.514181 | − | 1.72161i | ||||
\(586\) | 8.33930 | + | 18.6897i | 0.344493 | + | 0.772063i | ||||
\(587\) | − | 5.94377i | − | 0.245326i | −0.992448 | − | 0.122663i | \(-0.960857\pi\) | ||
0.992448 | − | 0.122663i | \(-0.0391434\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.7291 | −0.483288 | ||||||||
\(590\) | 35.7663 | − | 4.65629i | 1.47248 | − | 0.191697i | ||||
\(591\) | 26.0329 | 1.07085 | ||||||||
\(592\) | −19.0326 | + | 2.06271i | −0.782235 | + | 0.0847768i | ||||
\(593\) | −32.3521 | −1.32854 | −0.664270 | − | 0.747493i | \(-0.731257\pi\) | ||||
−0.664270 | + | 0.747493i | \(0.731257\pi\) | |||||||
\(594\) | −0.835255 | − | 1.87194i | −0.0342709 | − | 0.0768064i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −26.2583 | + | 29.2579i | −1.07558 | + | 1.19845i | ||||
\(597\) | − | 38.6531i | − | 1.58197i | ||||||
\(598\) | −10.2876 | − | 23.0561i | −0.420691 | − | 0.942834i | ||||
\(599\) | 16.4047i | 0.670277i | 0.942169 | + | 0.335139i | \(0.108783\pi\) | ||||
−0.942169 | + | 0.335139i | \(0.891217\pi\) | |||||||
\(600\) | −27.5388 | + | 22.2061i | −1.12427 | + | 0.906561i | ||||
\(601\) | 17.5151i | 0.714458i | 0.934017 | + | 0.357229i | \(0.116278\pi\) | ||||
−0.934017 | + | 0.357229i | \(0.883722\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.63160 | 0.147890 | ||||||||
\(604\) | −25.9225 | − | 23.2649i | −1.05477 | − | 0.946634i | ||||
\(605\) | −3.79865 | + | 12.7189i | −0.154437 | + | 0.517095i | ||||
\(606\) | 0.160189 | + | 0.359008i | 0.00650723 | + | 0.0145837i | ||||
\(607\) | − | 2.77165i | − | 0.112498i | −0.998417 | − | 0.0562489i | \(-0.982086\pi\) | ||
0.998417 | − | 0.0562489i | \(-0.0179140\pi\) | |||||||
\(608\) | −38.2197 | + | 22.2728i | −1.55001 | + | 0.903281i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.497997 | − | 3.82525i | −0.0201633 | − | 0.154880i | ||||
\(611\) | − | 57.0948i | − | 2.30981i | ||||||
\(612\) | −8.73565 | + | 9.73356i | −0.353118 | + | 0.393456i | ||||
\(613\) | 21.7127i | 0.876966i | 0.898739 | + | 0.438483i | \(0.144484\pi\) | ||||
−0.898739 | + | 0.438483i | \(0.855516\pi\) | |||||||
\(614\) | 32.0257 | − | 14.2898i | 1.29245 | − | 0.576690i | ||||
\(615\) | −14.1331 | + | 47.3213i | −0.569902 | + | 1.90818i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 4.75106i | − | 0.191271i | −0.995416 | − | 0.0956353i | \(-0.969512\pi\) | ||
0.995416 | − | 0.0956353i | \(-0.0304883\pi\) | |||||||
\(618\) | 18.6126 | + | 41.7136i | 0.748707 | + | 1.67797i | ||||
\(619\) | −31.5652 | −1.26871 | −0.634357 | − | 0.773040i | \(-0.718735\pi\) | ||||
−0.634357 | + | 0.773040i | \(0.718735\pi\) | |||||||
\(620\) | 3.50119 | + | 5.72153i | 0.140611 | + | 0.229782i | ||||
\(621\) | 1.92739i | 0.0773434i | ||||||||
\(622\) | 4.06662 | + | 9.11391i | 0.163056 | + | 0.365435i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −59.3502 | + | 6.43223i | −2.37591 | + | 0.257495i | ||||
\(625\) | 9.96243 | + | 22.9292i | 0.398497 | + | 0.917169i | ||||
\(626\) | −18.7714 | − | 42.0695i | −0.750255 | − | 1.68144i | ||||
\(627\) | −44.0184 | −1.75792 | ||||||||
\(628\) | −9.16474 | + | 10.2117i | −0.365713 | + | 0.407490i | ||||
\(629\) | 9.60786i | 0.383090i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 13.2126i | − | 0.525986i | −0.964798 | − | 0.262993i | \(-0.915290\pi\) | ||
0.964798 | − | 0.262993i | \(-0.0847096\pi\) | |||||||
\(632\) | 10.5277 | − | 32.6706i | 0.418771 | − | 1.29957i | ||||
\(633\) | −26.0125 | −1.03390 | ||||||||
\(634\) | 28.8754 | − | 12.8841i | 1.14679 | − | 0.511695i | ||||
\(635\) | −3.95613 | + | 13.2461i | −0.156994 | + | 0.525657i | ||||
\(636\) | 23.6008 | − | 26.2968i | 0.935832 | − | 1.04274i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 14.1803 | − | 6.32722i | 0.561402 | − | 0.250497i | ||||
\(639\) | 27.3659i | 1.08258i | ||||||||
\(640\) | 22.2736 | + | 11.9953i | 0.880441 | + | 0.474156i | ||||
\(641\) | 14.2989 | 0.564773 | 0.282386 | − | 0.959301i | \(-0.408874\pi\) | ||||
0.282386 | + | 0.959301i | \(0.408874\pi\) | |||||||
\(642\) | 47.1900 | − | 21.0561i | 1.86244 | − | 0.831018i | ||||
\(643\) | 8.53718i | 0.336673i | 0.985730 | + | 0.168337i | \(0.0538396\pi\) | ||||
−0.985730 | + | 0.168337i | \(0.946160\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.04000 | − | 1.80392i | −0.237825 | − | 0.0710294i | ||||
\(646\) | 9.04627 | + | 20.2741i | 0.355921 | + | 0.797674i | ||||
\(647\) | 23.8661i | 0.938275i | 0.883125 | + | 0.469137i | \(0.155435\pi\) | ||||
−0.883125 | + | 0.469137i | \(0.844565\pi\) | |||||||
\(648\) | −21.9709 | − | 7.07985i | −0.863097 | − | 0.278123i | ||||
\(649\) | − | 25.6659i | − | 1.00748i | ||||||
\(650\) | −6.75333 | + | 41.6433i | −0.264887 | + | 1.63339i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.83302 | − | 4.27088i | 0.150113 | − | 0.167260i | ||||
\(653\) | 18.0725i | 0.707230i | 0.935391 | + | 0.353615i | \(0.115048\pi\) | ||||
−0.935391 | + | 0.353615i | \(0.884952\pi\) | |||||||
\(654\) | −14.4058 | + | 6.42786i | −0.563313 | + | 0.251349i | ||||
\(655\) | 5.22733 | − | 17.5024i | 0.204249 | − | 0.683877i | ||||
\(656\) | 35.1115 | − | 3.80530i | 1.37087 | − | 0.148572i | ||||
\(657\) | −19.1561 | −0.747350 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 13.3401i | − | 0.519657i | −0.965655 | − | 0.259828i | \(-0.916334\pi\) | ||
0.965655 | − | 0.259828i | \(-0.0836660\pi\) | |||||||
\(660\) | 13.1397 | + | 21.4725i | 0.511462 | + | 0.835816i | ||||
\(661\) | 18.4115i | 0.716123i | 0.933698 | + | 0.358062i | \(0.116562\pi\) | ||||
−0.933698 | + | 0.358062i | \(0.883438\pi\) | |||||||
\(662\) | 31.2724 | − | 13.9537i | 1.21544 | − | 0.542327i | ||||
\(663\) | 29.9606i | 1.16357i | ||||||||
\(664\) | −9.65688 | + | 29.9682i | −0.374760 | + | 1.16299i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 20.1348 | − | 8.98410i | 0.780206 | − | 0.348127i | ||||
\(667\) | −14.6003 | −0.565327 | ||||||||
\(668\) | 23.7243 | + | 21.2920i | 0.917919 | + | 0.823812i | ||||
\(669\) | −28.4309 | −1.09920 | ||||||||
\(670\) | −3.49595 | + | 0.455126i | −0.135060 | + | 0.0175831i | ||||
\(671\) | −2.74500 | −0.105970 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 43.5683i | − | 1.67944i | −0.543023 | − | 0.839718i | \(-0.682720\pi\) | ||
0.543023 | − | 0.839718i | \(-0.317280\pi\) | |||||||
\(674\) | 10.2761 | − | 4.58520i | 0.395822 | − | 0.176615i | ||||
\(675\) | 1.76621 | − | 2.69311i | 0.0679815 | − | 0.103658i | ||||
\(676\) | −30.1843 | + | 33.6323i | −1.16093 | + | 1.29355i | ||||
\(677\) | −12.8331 | −0.493218 | −0.246609 | − | 0.969115i | \(-0.579316\pi\) | ||||
−0.246609 | + | 0.969115i | \(0.579316\pi\) | |||||||
\(678\) | 3.32202 | + | 7.44516i | 0.127581 | + | 0.285930i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 7.18950 | − | 10.4648i | 0.275705 | − | 0.401305i | ||||
\(681\) | −15.4366 | −0.591531 | ||||||||
\(682\) | 4.35898 | − | 1.94497i | 0.166914 | − | 0.0744768i | ||||
\(683\) | 0.937655 | 0.0358784 | 0.0179392 | − | 0.999839i | \(-0.494289\pi\) | ||||
0.0179392 | + | 0.999839i | \(0.494289\pi\) | |||||||
\(684\) | 34.0285 | − | 37.9157i | 1.30111 | − | 1.44974i | ||||
\(685\) | −15.1629 | − | 4.52860i | −0.579345 | − | 0.173029i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.7274 | 0.790801 | ||||||||
\(688\) | 0.485701 | + | 4.48156i | 0.0185172 | + | 0.170858i | ||||
\(689\) | − | 42.1371i | − | 1.60530i | ||||||
\(690\) | −3.05574 | − | 23.4720i | −0.116330 | − | 0.893565i | ||||
\(691\) | −8.12642 | −0.309144 | −0.154572 | − | 0.987982i | \(-0.549400\pi\) | ||||
−0.154572 | + | 0.987982i | \(0.549400\pi\) | |||||||
\(692\) | −1.36800 | + | 1.52427i | −0.0520035 | + | 0.0579440i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.4535 | + | 25.6690i | 0.434767 | + | 0.974381i | ||||
\(695\) | 9.25509 | − | 30.9884i | 0.351066 | − | 1.17546i | ||||
\(696\) | −10.5884 | + | 32.8591i | −0.401354 | + | 1.24552i | ||||
\(697\) | − | 17.7246i | − | 0.671369i | ||||||
\(698\) | 16.6408 | − | 7.42508i | 0.629862 | − | 0.281044i | ||||
\(699\) | 35.2483 | 1.33321 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −27.4244 | −1.03580 | −0.517902 | − | 0.855440i | \(-0.673287\pi\) | ||||
−0.517902 | + | 0.855440i | \(0.673287\pi\) | |||||||
\(702\) | 4.96312 | − | 2.21454i | 0.187321 | − | 0.0835824i | ||||
\(703\) | − | 37.4261i | − | 1.41155i | ||||||
\(704\) | 10.5105 | − | 14.6152i | 0.396131 | − | 0.550831i | ||||
\(705\) | 15.3183 | − | 51.2898i | 0.576922 | − | 1.93168i | ||||
\(706\) | −4.80985 | − | 10.7796i | −0.181021 | − | 0.405697i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 42.4677 | + | 38.1139i | 1.59603 | + | 1.43241i | ||||
\(709\) | 21.4972 | 0.807346 | 0.403673 | − | 0.914903i | \(-0.367733\pi\) | ||||
0.403673 | + | 0.914903i | \(0.367733\pi\) | |||||||
\(710\) | −3.42959 | − | 26.3437i | −0.128710 | − | 0.988660i | ||||
\(711\) | 39.5320i | 1.48257i | ||||||||
\(712\) | −3.97213 | + | 12.3267i | −0.148862 | + | 0.461963i | ||||
\(713\) | −4.48811 | −0.168081 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 28.7648 | + | 8.59099i | 1.07574 | + | 0.321285i | ||||
\(716\) | 6.24820 | + | 5.60762i | 0.233506 | + | 0.209567i | ||||
\(717\) | −20.7788 | −0.775998 | ||||||||
\(718\) | 2.35045 | − | 1.04877i | 0.0877178 | − | 0.0391396i | ||||
\(719\) | 26.9012 | 1.00325 | 0.501623 | − | 0.865087i | \(-0.332737\pi\) | ||||
0.501623 | + | 0.865087i | \(0.332737\pi\) | |||||||
\(720\) | −28.6533 | − | 5.28134i | −1.06784 | − | 0.196824i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −24.2896 | − | 54.4368i | −0.903966 | − | 2.02593i | ||||
\(723\) | 64.3844 | 2.39448 | ||||||||
\(724\) | 7.93547 | + | 7.12191i | 0.294919 | + | 0.264684i | ||||
\(725\) | 20.4009 | + | 13.3794i | 0.757669 | + | 0.496898i | ||||
\(726\) | −19.1781 | + | 8.55724i | −0.711766 | + | 0.317589i | ||||
\(727\) | 14.8535i | 0.550886i | 0.961317 | + | 0.275443i | \(0.0888245\pi\) | ||||
−0.961317 | + | 0.275443i | \(0.911175\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 31.4189 | 1.16366 | ||||||||
\(730\) | 18.4405 | − | 2.40071i | 0.682515 | − | 0.0888543i | ||||
\(731\) | 2.26234 | 0.0836756 | ||||||||
\(732\) | 4.07633 | − | 4.54198i | 0.150665 | − | 0.167876i | ||||
\(733\) | 16.4626 | 0.608059 | 0.304030 | − | 0.952663i | \(-0.401668\pi\) | ||||
0.304030 | + | 0.952663i | \(0.401668\pi\) | |||||||
\(734\) | −1.38168 | + | 0.616503i | −0.0509987 | + | 0.0227555i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −14.6247 | + | 8.52264i | −0.539073 | + | 0.314149i | ||||
\(737\) | 2.50870i | 0.0924090i | ||||||||
\(738\) | −37.1447 | + | 16.5739i | −1.36732 | + | 0.610094i | ||||
\(739\) | 44.4004i | 1.63329i | 0.577137 | + | 0.816647i | \(0.304170\pi\) | ||||
−0.577137 | + | 0.816647i | \(0.695830\pi\) | |||||||
\(740\) | −18.2567 | + | 11.1719i | −0.671131 | + | 0.410686i | ||||
\(741\) | − | 116.707i | − | 4.28735i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.9014 | −1.28041 | −0.640204 | − | 0.768205i | \(-0.721150\pi\) | ||||
−0.640204 | + | 0.768205i | \(0.721150\pi\) | |||||||
\(744\) | −3.25487 | + | 10.1008i | −0.119329 | + | 0.370314i | ||||
\(745\) | −12.5782 | + | 42.1152i | −0.460831 | + | 1.54298i | ||||
\(746\) | −17.0309 | + | 7.59917i | −0.623546 | + | 0.278226i | ||||
\(747\) | − | 36.2620i | − | 1.32676i | ||||||
\(748\) | −6.72390 | − | 6.03455i | −0.245850 | − | 0.220645i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −17.2395 | + | 35.5974i | −0.629496 | + | 1.29983i | ||||
\(751\) | − | 18.8248i | − | 0.686927i | −0.939166 | − | 0.343463i | \(-0.888400\pi\) | ||
0.939166 | − | 0.343463i | \(-0.111600\pi\) | |||||||
\(752\) | −38.0560 | + | 4.12442i | −1.38776 | + | 0.150402i | ||||
\(753\) | − | 12.0225i | − | 0.438124i | ||||||
\(754\) | 16.7756 | + | 37.5966i | 0.610930 | + | 1.36919i | ||||
\(755\) | −37.3141 | − | 11.1443i | −1.35800 | − | 0.405584i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 54.4433i | − | 1.97878i | −0.145301 | − | 0.989388i | \(-0.546415\pi\) | ||
0.145301 | − | 0.989388i | \(-0.453585\pi\) | |||||||
\(758\) | 21.9364 | − | 9.78798i | 0.796765 | − | 0.355516i | ||||
\(759\) | −16.8435 | −0.611382 | ||||||||
\(760\) | −28.0057 | + | 40.7640i | −1.01587 | + | 1.47867i | ||||
\(761\) | 25.8142i | 0.935765i | 0.883791 | + | 0.467883i | \(0.154983\pi\) | ||||
−0.883791 | + | 0.467883i | \(0.845017\pi\) | |||||||
\(762\) | −19.9732 | + | 8.91200i | −0.723552 | + | 0.322848i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −24.9232 | − | 22.3681i | −0.901691 | − | 0.809248i | ||||
\(765\) | −4.18455 | + | 14.0110i | −0.151293 | + | 0.506567i | ||||
\(766\) | −6.03861 | + | 2.69442i | −0.218184 | + | 0.0973533i | ||||
\(767\) | 68.0489 | 2.45710 | ||||||||
\(768\) | 8.57469 | + | 39.0947i | 0.309412 | + | 1.41071i | ||||
\(769\) | 40.1288i | 1.44708i | 0.690281 | + | 0.723542i | \(0.257487\pi\) | ||||
−0.690281 | + | 0.723542i | \(0.742513\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 53.5633i | 1.92904i | ||||||||
\(772\) | 23.1343 | + | 20.7625i | 0.832620 | + | 0.747259i | ||||
\(773\) | 49.0224 | 1.76321 | 0.881607 | − | 0.471983i | \(-0.156462\pi\) | ||||
0.881607 | + | 0.471983i | \(0.156462\pi\) | |||||||
\(774\) | −2.11546 | − | 4.74108i | −0.0760388 | − | 0.170415i | ||||
\(775\) | 6.27118 | + | 4.11280i | 0.225267 | + | 0.147736i | ||||
\(776\) | 12.4377 | + | 4.00792i | 0.446489 | + | 0.143876i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.8666 | + | 33.3183i | 0.532992 | + | 1.19452i | ||||
\(779\) | 69.0439i | 2.47375i | ||||||||
\(780\) | −56.9307 | + | 34.8377i | −2.03845 | + | 1.24739i | ||||
\(781\) |