Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.15 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.749302 | − | 1.19939i | −0.529837 | − | 0.848100i | ||||
\(3\) | 0.475486 | − | 1.66551i | 0.274522 | − | 0.961581i | ||||
\(4\) | −0.877093 | + | 1.79742i | −0.438546 | + | 0.898709i | ||||
\(5\) | −0.384557 | − | 2.92100i | −0.171979 | − | 1.30631i | −0.831879 | − | 0.554958i | \(-0.812734\pi\) |
0.659899 | − | 0.751354i | \(-0.270599\pi\) | |||||||
\(6\) | −2.35388 | + | 0.677673i | −0.960968 | + | 0.276659i | ||||
\(7\) | −0.163982 | − | 0.611989i | −0.0619794 | − | 0.231310i | 0.927987 | − | 0.372612i | \(-0.121538\pi\) |
−0.989967 | + | 0.141302i | \(0.954871\pi\) | |||||||
\(8\) | 2.81302 | − | 0.294828i | 0.994552 | − | 0.104238i | ||||
\(9\) | −2.54783 | − | 1.58385i | −0.849275 | − | 0.527950i | ||||
\(10\) | −3.21528 | + | 2.64995i | −1.01676 | + | 0.837987i | ||||
\(11\) | 0.939959 | − | 0.721256i | 0.283408 | − | 0.217467i | −0.457268 | − | 0.889329i | \(-0.651172\pi\) |
0.740676 | + | 0.671862i | \(0.234505\pi\) | |||||||
\(12\) | 2.57657 | + | 2.31545i | 0.743790 | + | 0.668413i | ||||
\(13\) | −1.82995 | + | 2.38483i | −0.507536 | + | 0.661433i | −0.974903 | − | 0.222630i | \(-0.928536\pi\) |
0.467367 | + | 0.884063i | \(0.345203\pi\) | |||||||
\(14\) | −0.611144 | + | 0.655244i | −0.163335 | + | 0.175121i | ||||
\(15\) | −5.04780 | − | 0.748413i | −1.30334 | − | 0.193239i | ||||
\(16\) | −2.46142 | − | 3.15300i | −0.615354 | − | 0.788251i | ||||
\(17\) | 2.02378 | 0.490839 | 0.245420 | − | 0.969417i | \(-0.421074\pi\) | ||||
0.245420 | + | 0.969417i | \(0.421074\pi\) | |||||||
\(18\) | 0.00943085 | + | 4.24263i | 0.00222287 | + | 0.999998i | ||||
\(19\) | 0.630742 | − | 0.261262i | 0.144702 | − | 0.0599376i | −0.309157 | − | 0.951011i | \(-0.600047\pi\) |
0.453859 | + | 0.891073i | \(0.350047\pi\) | |||||||
\(20\) | 5.58755 | + | 1.87078i | 1.24941 | + | 0.418319i | ||||
\(21\) | −1.09724 | − | 0.0178791i | −0.239438 | − | 0.00390153i | ||||
\(22\) | −1.56938 | − | 0.586943i | −0.334594 | − | 0.125137i | ||||
\(23\) | −7.40463 | − | 1.98407i | −1.54397 | − | 0.413706i | −0.616426 | − | 0.787413i | \(-0.711420\pi\) |
−0.927547 | + | 0.373707i | \(0.878087\pi\) | |||||||
\(24\) | 0.846512 | − | 4.82529i | 0.172794 | − | 0.984958i | ||||
\(25\) | −3.55474 | + | 0.952490i | −0.710948 | + | 0.190498i | ||||
\(26\) | 4.23153 | + | 0.407867i | 0.829872 | + | 0.0799893i | ||||
\(27\) | −3.84937 | + | 3.49032i | −0.740811 | + | 0.671713i | ||||
\(28\) | 1.24383 | + | 0.242027i | 0.235061 | + | 0.0457389i | ||||
\(29\) | 10.5335 | + | 1.38676i | 1.95602 | + | 0.257514i | 0.999425 | − | 0.0339178i | \(-0.0107985\pi\) |
0.956591 | + | 0.291432i | \(0.0941318\pi\) | |||||||
\(30\) | 2.88469 | + | 6.61509i | 0.526669 | + | 1.20774i | ||||
\(31\) | −2.48302 | + | 1.43357i | −0.445963 | + | 0.257477i | −0.706124 | − | 0.708089i | \(-0.749558\pi\) |
0.260161 | + | 0.965565i | \(0.416224\pi\) | |||||||
\(32\) | −1.93735 | + | 5.31476i | −0.342478 | + | 0.939526i | ||||
\(33\) | −0.754319 | − | 1.90845i | −0.131310 | − | 0.332219i | ||||
\(34\) | −1.51642 | − | 2.42731i | −0.260065 | − | 0.416281i | ||||
\(35\) | −1.72456 | + | 0.714337i | −0.291504 | + | 0.120745i | ||||
\(36\) | 5.08152 | − | 3.19032i | 0.846920 | − | 0.531720i | ||||
\(37\) | 1.08845 | − | 2.62775i | 0.178940 | − | 0.432000i | −0.808805 | − | 0.588078i | \(-0.799885\pi\) |
0.987745 | + | 0.156078i | \(0.0498850\pi\) | |||||||
\(38\) | −0.785972 | − | 0.560744i | −0.127502 | − | 0.0909647i | ||||
\(39\) | 3.10184 | + | 4.18174i | 0.496692 | + | 0.669614i | ||||
\(40\) | −1.94296 | − | 8.10346i | −0.307209 | − | 1.28127i | ||||
\(41\) | 0.258552 | − | 0.964929i | 0.0403790 | − | 0.150697i | −0.942793 | − | 0.333379i | \(-0.891811\pi\) |
0.983172 | + | 0.182682i | \(0.0584779\pi\) | |||||||
\(42\) | 0.800723 | + | 1.32942i | 0.123554 | + | 0.205135i | ||||
\(43\) | 1.27177 | + | 1.65740i | 0.193943 | + | 0.252752i | 0.880195 | − | 0.474612i | \(-0.157412\pi\) |
−0.686252 | + | 0.727364i | \(0.740745\pi\) | |||||||
\(44\) | 0.471966 | + | 2.32211i | 0.0711516 | + | 0.350071i | ||||
\(45\) | −3.64664 | + | 8.05129i | −0.543610 | + | 1.20021i | ||||
\(46\) | 3.16863 | + | 10.3677i | 0.467189 | + | 1.52864i | ||||
\(47\) | −8.68027 | − | 5.01155i | −1.26615 | − | 0.731010i | −0.291890 | − | 0.956452i | \(-0.594284\pi\) |
−0.974257 | + | 0.225441i | \(0.927618\pi\) | |||||||
\(48\) | −6.42172 | + | 2.60030i | −0.926895 | + | 0.375321i | ||||
\(49\) | 5.71454 | − | 3.29929i | 0.816362 | − | 0.471327i | ||||
\(50\) | 3.80598 | + | 3.54983i | 0.538247 | + | 0.502022i | ||||
\(51\) | 0.962280 | − | 3.37062i | 0.134746 | − | 0.471982i | ||||
\(52\) | −2.68150 | − | 5.38089i | −0.371858 | − | 0.746196i | ||||
\(53\) | 4.08933 | − | 9.87251i | 0.561712 | − | 1.35609i | −0.346683 | − | 0.937982i | \(-0.612692\pi\) |
0.908396 | − | 0.418111i | \(-0.137308\pi\) | |||||||
\(54\) | 7.07061 | + | 2.00160i | 0.962189 | + | 0.272384i | ||||
\(55\) | −2.46826 | − | 2.46826i | −0.332820 | − | 0.332820i | ||||
\(56\) | −0.641716 | − | 1.67319i | −0.0857529 | − | 0.223590i | ||||
\(57\) | −0.135225 | − | 1.17473i | −0.0179109 | − | 0.155597i | ||||
\(58\) | −6.22948 | − | 13.6729i | −0.817971 | − | 1.79534i | ||||
\(59\) | 9.92768 | − | 1.30700i | 1.29247 | − | 0.170157i | 0.547249 | − | 0.836970i | \(-0.315675\pi\) |
0.745225 | + | 0.666813i | \(0.232342\pi\) | |||||||
\(60\) | 5.77260 | − | 8.41658i | 0.745239 | − | 1.08658i | ||||
\(61\) | −0.353716 | + | 2.68674i | −0.0452888 | + | 0.344002i | 0.953767 | + | 0.300548i | \(0.0971696\pi\) |
−0.999055 | + | 0.0434542i | \(0.986164\pi\) | |||||||
\(62\) | 3.57994 | + | 1.90394i | 0.454653 | + | 0.241800i | ||||
\(63\) | −0.551501 | + | 1.81896i | −0.0694827 | + | 0.229168i | ||||
\(64\) | 7.82615 | − | 1.65871i | 0.978269 | − | 0.207339i | ||||
\(65\) | 7.66982 | + | 4.42817i | 0.951324 | + | 0.549247i | ||||
\(66\) | −1.72378 | + | 2.33474i | −0.212182 | + | 0.287386i | ||||
\(67\) | 1.27668 | − | 1.66380i | 0.155972 | − | 0.203266i | −0.708831 | − | 0.705379i | \(-0.750777\pi\) |
0.864802 | + | 0.502112i | \(0.167444\pi\) | |||||||
\(68\) | −1.77504 | + | 3.63758i | −0.215256 | + | 0.441121i | ||||
\(69\) | −6.82527 | + | 11.3891i | −0.821666 | + | 1.37108i | ||||
\(70\) | 2.14899 | + | 1.53317i | 0.256853 | + | 0.183249i | ||||
\(71\) | −6.54986 | − | 6.54986i | −0.777325 | − | 0.777325i | 0.202050 | − | 0.979375i | \(-0.435240\pi\) |
−0.979375 | + | 0.202050i | \(0.935240\pi\) | |||||||
\(72\) | −7.63405 | − | 3.70423i | −0.899681 | − | 0.436548i | ||||
\(73\) | 9.76835 | − | 9.76835i | 1.14330 | − | 1.14330i | 0.155456 | − | 0.987843i | \(-0.450315\pi\) |
0.987843 | − | 0.155456i | \(-0.0496845\pi\) | |||||||
\(74\) | −3.96729 | + | 0.663499i | −0.461188 | + | 0.0771302i | ||||
\(75\) | −0.103851 | + | 6.37334i | −0.0119916 | + | 0.735930i | ||||
\(76\) | −0.0836227 | + | 1.36286i | −0.00959218 | + | 0.156330i | ||||
\(77\) | −0.595537 | − | 0.456972i | −0.0678677 | − | 0.0520767i | ||||
\(78\) | 2.69134 | − | 6.85372i | 0.304734 | − | 0.776030i | ||||
\(79\) | 1.39820 | − | 2.42176i | 0.157310 | − | 0.272469i | −0.776588 | − | 0.630009i | \(-0.783051\pi\) |
0.933898 | + | 0.357540i | \(0.116384\pi\) | |||||||
\(80\) | −8.26337 | + | 8.40231i | −0.923873 | + | 0.939407i | ||||
\(81\) | 3.98284 | + | 8.07075i | 0.442538 | + | 0.896750i | ||||
\(82\) | −1.35106 | + | 0.412918i | −0.149200 | + | 0.0455991i | ||||
\(83\) | 14.3756 | + | 1.89259i | 1.57793 | + | 0.207739i | 0.868012 | − | 0.496544i | \(-0.165398\pi\) |
0.709920 | + | 0.704282i | \(0.248731\pi\) | |||||||
\(84\) | 0.994520 | − | 1.95652i | 0.108511 | − | 0.213474i | ||||
\(85\) | −0.778260 | − | 5.91147i | −0.0844141 | − | 0.641189i | ||||
\(86\) | 1.03494 | − | 2.76725i | 0.111601 | − | 0.298400i | ||||
\(87\) | 7.31817 | − | 16.8842i | 0.784590 | − | 1.81017i | ||||
\(88\) | 2.43148 | − | 2.30603i | 0.259196 | − | 0.245824i | ||||
\(89\) | 8.61931 | − | 8.61931i | 0.913645 | − | 0.913645i | −0.0829117 | − | 0.996557i | \(-0.526422\pi\) |
0.996557 | + | 0.0829117i | \(0.0264219\pi\) | |||||||
\(90\) | 12.3891 | − | 1.65908i | 1.30593 | − | 0.174883i | ||||
\(91\) | 1.75957 | + | 0.728837i | 0.184453 | + | 0.0764029i | ||||
\(92\) | 10.0607 | − | 11.5690i | 1.04891 | − | 1.20615i | ||||
\(93\) | 1.20698 | + | 4.81712i | 0.125158 | + | 0.499512i | ||||
\(94\) | 0.493313 | + | 14.1662i | 0.0508813 | + | 1.46113i | ||||
\(95\) | −1.00570 | − | 1.74193i | −0.103183 | − | 0.178718i | ||||
\(96\) | 7.93059 | + | 5.75376i | 0.809412 | + | 0.587241i | ||||
\(97\) | −5.48891 | + | 9.50707i | −0.557314 | + | 0.965297i | 0.440405 | + | 0.897799i | \(0.354835\pi\) |
−0.997719 | + | 0.0674974i | \(0.978499\pi\) | |||||||
\(98\) | −8.23906 | − | 4.38182i | −0.832271 | − | 0.442630i | ||||
\(99\) | −3.53721 | + | 0.348881i | −0.355503 | + | 0.0350638i | ||||
\(100\) | 1.40582 | − | 7.22477i | 0.140582 | − | 0.722477i | ||||
\(101\) | −8.90279 | + | 6.83135i | −0.885861 | + | 0.679745i | −0.947982 | − | 0.318324i | \(-0.896880\pi\) |
0.0621212 | + | 0.998069i | \(0.480213\pi\) | |||||||
\(102\) | −4.76374 | + | 1.37146i | −0.471681 | + | 0.135795i | ||||
\(103\) | 3.72337 | + | 0.997673i | 0.366874 | + | 0.0983036i | 0.437546 | − | 0.899196i | \(-0.355848\pi\) |
−0.0706720 | + | 0.997500i | \(0.522514\pi\) | |||||||
\(104\) | −4.44456 | + | 7.24810i | −0.435825 | + | 0.710734i | ||||
\(105\) | 0.369728 | + | 3.21193i | 0.0360818 | + | 0.313452i | ||||
\(106\) | −14.9052 | + | 2.49278i | −1.44772 | + | 0.242120i | ||||
\(107\) | −16.6930 | − | 6.91445i | −1.61377 | − | 0.668445i | −0.620493 | − | 0.784212i | \(-0.713067\pi\) |
−0.993276 | + | 0.115767i | \(0.963067\pi\) | |||||||
\(108\) | −2.89731 | − | 9.98026i | −0.278794 | − | 0.960351i | ||||
\(109\) | 5.19946 | + | 12.5526i | 0.498018 | + | 1.20232i | 0.950549 | + | 0.310574i | \(0.100521\pi\) |
−0.452531 | + | 0.891749i | \(0.649479\pi\) | |||||||
\(110\) | −1.11094 | + | 4.80988i | −0.105924 | + | 0.458604i | ||||
\(111\) | −3.85900 | − | 3.06228i | −0.366280 | − | 0.290659i | ||||
\(112\) | −1.52598 | + | 2.02340i | −0.144191 | + | 0.191193i | ||||
\(113\) | 6.49957 | + | 11.2576i | 0.611428 | + | 1.05902i | 0.991000 | + | 0.133862i | \(0.0427379\pi\) |
−0.379572 | + | 0.925162i | \(0.623929\pi\) | |||||||
\(114\) | −1.30764 | + | 1.04242i | −0.122472 | + | 0.0976312i | ||||
\(115\) | −2.94795 | + | 22.3919i | −0.274898 | + | 2.08806i | ||||
\(116\) | −11.7314 | + | 17.7167i | −1.08923 | + | 1.64496i | ||||
\(117\) | 8.43960 | − | 3.17778i | 0.780241 | − | 0.293786i | ||||
\(118\) | −9.00644 | − | 10.9279i | −0.829110 | − | 1.00599i | ||||
\(119\) | −0.331864 | − | 1.23853i | −0.0304219 | − | 0.113536i | ||||
\(120\) | −14.4202 | − | 0.617065i | −1.31638 | − | 0.0563301i | ||||
\(121\) | −2.48370 | + | 9.26928i | −0.225791 | + | 0.842662i | ||||
\(122\) | 3.48751 | − | 1.58894i | 0.315744 | − | 0.143856i | ||||
\(123\) | −1.48416 | − | 0.889430i | −0.133822 | − | 0.0801972i | ||||
\(124\) | −0.398888 | − | 5.72039i | −0.0358212 | − | 0.513706i | ||||
\(125\) | −1.48810 | − | 3.59259i | −0.133100 | − | 0.321331i | ||||
\(126\) | 2.59490 | − | 0.701487i | 0.231172 | − | 0.0624934i | ||||
\(127\) | 13.3962i | 1.18872i | 0.804200 | + | 0.594359i | \(0.202594\pi\) | ||||
−0.804200 | + | 0.594359i | \(0.797406\pi\) | |||||||
\(128\) | −7.85361 | − | 8.14376i | −0.694167 | − | 0.719814i | ||||
\(129\) | 3.36513 | − | 1.33007i | 0.296283 | − | 0.117106i | ||||
\(130\) | −0.435887 | − | 12.5172i | −0.0382298 | − | 1.09783i | ||||
\(131\) | −8.55153 | − | 6.56182i | −0.747150 | − | 0.573309i | 0.163472 | − | 0.986548i | \(-0.447731\pi\) |
−0.910622 | + | 0.413239i | \(0.864397\pi\) | |||||||
\(132\) | 4.09190 | + | 0.318066i | 0.356154 | + | 0.0276841i | ||||
\(133\) | −0.263320 | − | 0.343165i | −0.0228327 | − | 0.0297562i | ||||
\(134\) | −2.95218 | − | 0.284553i | −0.255029 | − | 0.0245816i | ||||
\(135\) | 11.6755 | + | 9.90178i | 1.00487 | + | 0.852210i | ||||
\(136\) | 5.69294 | − | 0.596668i | 0.488165 | − | 0.0511639i | ||||
\(137\) | −7.31178 | + | 1.95919i | −0.624687 | + | 0.167384i | −0.557258 | − | 0.830340i | \(-0.688146\pi\) |
−0.0674296 | + | 0.997724i | \(0.521480\pi\) | |||||||
\(138\) | 18.7742 | − | 0.347662i | 1.59816 | − | 0.0295949i | ||||
\(139\) | 5.05465 | − | 0.665457i | 0.428730 | − | 0.0564434i | 0.0869262 | − | 0.996215i | \(-0.472296\pi\) |
0.341804 | + | 0.939771i | \(0.388962\pi\) | |||||||
\(140\) | 0.228639 | − | 3.72630i | 0.0193236 | − | 0.314929i | ||||
\(141\) | −12.4741 | + | 12.0741i | −1.05051 | + | 1.01682i | ||||
\(142\) | −2.94804 | + | 12.7637i | −0.247394 | + | 1.07110i | ||||
\(143\) | 3.56150i | 0.297828i | ||||||||
\(144\) | 1.27738 | + | 11.9318i | 0.106448 | + | 0.994318i | ||||
\(145\) | − | 31.3016i | − | 2.59945i | ||||||
\(146\) | −19.0355 | − | 4.39666i | −1.57539 | − | 0.363870i | ||||
\(147\) | −2.77781 | − | 11.0864i | −0.229110 | − | 0.914388i | ||||
\(148\) | 3.76850 | + | 4.26118i | 0.309769 | + | 0.350267i | ||||
\(149\) | −13.0422 | + | 1.71704i | −1.06846 | + | 0.140665i | −0.644186 | − | 0.764869i | \(-0.722804\pi\) |
−0.424273 | + | 0.905534i | \(0.639470\pi\) | |||||||
\(150\) | 7.72196 | − | 4.65100i | 0.630495 | − | 0.379752i | ||||
\(151\) | 17.0816 | − | 4.57700i | 1.39008 | − | 0.372471i | 0.515308 | − | 0.857005i | \(-0.327678\pi\) |
0.874772 | + | 0.484534i | \(0.161011\pi\) | |||||||
\(152\) | 1.69726 | − | 0.920895i | 0.137666 | − | 0.0746945i | ||||
\(153\) | −5.15624 | − | 3.20537i | −0.416858 | − | 0.259139i | ||||
\(154\) | −0.101852 | + | 1.05669i | −0.00820747 | + | 0.0851508i | ||||
\(155\) | 5.14232 | + | 6.70161i | 0.413041 | + | 0.538286i | ||||
\(156\) | −10.2369 | + | 1.90753i | −0.819611 | + | 0.152724i | ||||
\(157\) | −6.72449 | − | 5.15988i | −0.536673 | − | 0.411804i | 0.304547 | − | 0.952497i | \(-0.401495\pi\) |
−0.841219 | + | 0.540694i | \(0.818162\pi\) | |||||||
\(158\) | −3.95232 | + | 0.137632i | −0.314430 | + | 0.0109494i | ||||
\(159\) | −14.4983 | − | 11.5050i | −1.14979 | − | 0.912409i | ||||
\(160\) | 16.2694 | + | 3.61517i | 1.28621 | + | 0.285805i | ||||
\(161\) | 4.85691i | 0.382778i | ||||||||
\(162\) | 6.69566 | − | 10.8244i | 0.526061 | − | 0.850447i | ||||
\(163\) | 5.14413 | + | 12.4190i | 0.402920 | + | 0.972734i | 0.986954 | + | 0.161005i | \(0.0514734\pi\) |
−0.584034 | + | 0.811729i | \(0.698527\pi\) | |||||||
\(164\) | 1.50761 | + | 1.31106i | 0.117724 | + | 0.102376i | ||||
\(165\) | −5.28452 | + | 2.93728i | −0.411399 | + | 0.228667i | ||||
\(166\) | −8.50174 | − | 18.6602i | −0.659863 | − | 1.44831i | ||||
\(167\) | 0.592672 | − | 2.21188i | 0.0458624 | − | 0.171161i | −0.939196 | − | 0.343382i | \(-0.888428\pi\) |
0.985058 | + | 0.172221i | \(0.0550943\pi\) | |||||||
\(168\) | −3.09184 | + | 0.273204i | −0.238540 | + | 0.0210782i | ||||
\(169\) | 1.02593 | + | 3.82881i | 0.0789175 | + | 0.294524i | ||||
\(170\) | −6.50703 | + | 5.36292i | −0.499067 | + | 0.411317i | ||||
\(171\) | −2.02082 | − | 0.333351i | −0.154536 | − | 0.0254920i | ||||
\(172\) | −4.09451 | + | 0.832206i | −0.312203 | + | 0.0634551i | ||||
\(173\) | 0.109832 | − | 0.834260i | 0.00835041 | − | 0.0634276i | −0.986762 | − | 0.162173i | \(-0.948150\pi\) |
0.995113 | + | 0.0987456i | \(0.0314830\pi\) | |||||||
\(174\) | −25.7343 | + | 3.87398i | −1.95091 | + | 0.293686i | ||||
\(175\) | 1.16583 | + | 2.01927i | 0.0881282 | + | 0.152643i | ||||
\(176\) | −4.58775 | − | 1.18838i | −0.345815 | − | 0.0895777i | ||||
\(177\) | 2.54365 | − | 17.1561i | 0.191192 | − | 1.28953i | ||||
\(178\) | −16.7964 | − | 3.87948i | −1.25894 | − | 0.290780i | ||||
\(179\) | 6.02840 | + | 14.5538i | 0.450584 | + | 1.08781i | 0.972101 | + | 0.234564i | \(0.0753664\pi\) |
−0.521517 | + | 0.853241i | \(0.674634\pi\) | |||||||
\(180\) | −11.2731 | − | 13.6163i | −0.840245 | − | 1.01490i | ||||
\(181\) | 7.39901 | + | 3.06477i | 0.549964 | + | 0.227802i | 0.640322 | − | 0.768107i | \(-0.278801\pi\) |
−0.0903579 | + | 0.995909i | \(0.528801\pi\) | |||||||
\(182\) | −0.444285 | − | 2.65654i | −0.0329326 | − | 0.196916i | ||||
\(183\) | 4.30660 | + | 1.86663i | 0.318353 | + | 0.137985i | ||||
\(184\) | −21.4143 | − | 3.39812i | −1.57869 | − | 0.250513i | ||||
\(185\) | −8.09425 | − | 2.16885i | −0.595101 | − | 0.159457i | ||||
\(186\) | 4.87324 | − | 5.05713i | 0.357323 | − | 0.370807i | ||||
\(187\) | 1.90227 | − | 1.45966i | 0.139108 | − | 0.106741i | ||||
\(188\) | 16.6213 | − | 11.2065i | 1.21223 | − | 0.817315i | ||||
\(189\) | 2.76727 | + | 1.78342i | 0.201289 | + | 0.129725i | ||||
\(190\) | −1.33568 | + | 2.51146i | −0.0969007 | + | 0.182201i | ||||
\(191\) | −12.7388 | + | 22.0642i | −0.921746 | + | 1.59651i | −0.125033 | + | 0.992153i | \(0.539904\pi\) |
−0.796713 | + | 0.604358i | \(0.793430\pi\) | |||||||
\(192\) | 0.958624 | − | 13.8232i | 0.0691827 | − | 0.997604i | ||||
\(193\) | −8.34520 | − | 14.4543i | −0.600701 | − | 1.04044i | −0.992715 | − | 0.120485i | \(-0.961555\pi\) |
0.392014 | − | 0.919959i | \(-0.371778\pi\) | |||||||
\(194\) | 15.5156 | − | 0.540301i | 1.11395 | − | 0.0387913i | ||||
\(195\) | 11.0220 | − | 10.6686i | 0.789305 | − | 0.763994i | ||||
\(196\) | 0.918020 | + | 13.1652i | 0.0655728 | + | 0.940371i | ||||
\(197\) | 13.2585 | + | 5.49187i | 0.944632 | + | 0.391279i | 0.801211 | − | 0.598382i | \(-0.204190\pi\) |
0.143421 | + | 0.989662i | \(0.454190\pi\) | |||||||
\(198\) | 3.06889 | + | 3.98110i | 0.218096 | + | 0.282924i | ||||
\(199\) | −5.46648 | + | 5.46648i | −0.387508 | + | 0.387508i | −0.873798 | − | 0.486289i | \(-0.838350\pi\) |
0.486289 | + | 0.873798i | \(0.338350\pi\) | |||||||
\(200\) | −9.71873 | + | 3.72741i | −0.687218 | + | 0.263568i | ||||
\(201\) | −2.16403 | − | 2.91744i | −0.152639 | − | 0.205780i | ||||
\(202\) | 14.8644 | + | 5.55921i | 1.04585 | + | 0.391145i | ||||
\(203\) | −0.878619 | − | 6.67377i | −0.0616669 | − | 0.468407i | ||||
\(204\) | 5.21441 | + | 4.68597i | 0.365081 | + | 0.328083i | ||||
\(205\) | −2.91799 | − | 0.384160i | −0.203801 | − | 0.0268309i | ||||
\(206\) | −1.59332 | − | 5.21334i | −0.111012 | − | 0.363231i | ||||
\(207\) | 15.7233 | + | 16.7829i | 1.09284 | + | 1.16649i | ||||
\(208\) | 12.0236 | − | 0.100239i | 0.833689 | − | 0.00695029i | ||||
\(209\) | 0.404435 | − | 0.700502i | 0.0279753 | − | 0.0484547i | ||||
\(210\) | 3.57533 | − | 2.85015i | 0.246721 | − | 0.196679i | ||||
\(211\) | 15.4182 | + | 11.8308i | 1.06143 | + | 0.814467i | 0.983212 | − | 0.182469i | \(-0.0584090\pi\) |
0.0782220 | + | 0.996936i | \(0.475076\pi\) | |||||||
\(212\) | 14.1583 | + | 16.0093i | 0.972396 | + | 1.09953i | ||||
\(213\) | −14.0232 | + | 7.79447i | −0.960853 | + | 0.534068i | ||||
\(214\) | 4.21492 | + | 25.2024i | 0.288126 | + | 1.72280i | ||||
\(215\) | 4.35221 | − | 4.35221i | 0.296818 | − | 0.296818i | ||||
\(216\) | −9.79930 | + | 10.9532i | −0.666758 | + | 0.745274i | ||||
\(217\) | 1.28450 | + | 1.28450i | 0.0871975 | + | 0.0871975i | ||||
\(218\) | 11.1596 | − | 15.6419i | 0.755821 | − | 1.05940i | ||||
\(219\) | −11.6245 | − | 20.9140i | −0.785513 | − | 1.41323i | ||||
\(220\) | 6.60138 | − | 2.27160i | 0.445065 | − | 0.153151i | ||||
\(221\) | −3.70341 | + | 4.82638i | −0.249118 | + | 0.324657i | ||||
\(222\) | −0.781329 | + | 6.92304i | −0.0524393 | + | 0.464644i | ||||
\(223\) | −3.78187 | − | 2.18347i | −0.253253 | − | 0.146216i | 0.368000 | − | 0.929826i | \(-0.380043\pi\) |
−0.621253 | + | 0.783610i | \(0.713376\pi\) | |||||||
\(224\) | 3.57027 | + | 0.314112i | 0.238548 | + | 0.0209875i | ||||
\(225\) | 10.5655 | + | 3.20340i | 0.704364 | + | 0.213560i | ||||
\(226\) | 8.63214 | − | 16.2309i | 0.574201 | − | 1.07966i | ||||
\(227\) | −1.58889 | + | 12.0688i | −0.105458 | + | 0.801037i | 0.854215 | + | 0.519920i | \(0.174038\pi\) |
−0.959674 | + | 0.281117i | \(0.909295\pi\) | |||||||
\(228\) | 2.23009 | + | 0.787294i | 0.147691 | + | 0.0521398i | ||||
\(229\) | 29.1533 | − | 3.83810i | 1.92650 | − | 0.253629i | 0.932344 | − | 0.361572i | \(-0.117760\pi\) |
0.994157 | + | 0.107944i | \(0.0344266\pi\) | |||||||
\(230\) | 29.0657 | − | 13.2426i | 1.91653 | − | 0.873189i | ||||
\(231\) | −1.04426 | + | 0.774587i | −0.0687072 | + | 0.0509641i | ||||
\(232\) | 30.0397 | + | 0.795411i | 1.97220 | + | 0.0522213i | ||||
\(233\) | −4.41732 | − | 4.41732i | −0.289388 | − | 0.289388i | 0.547450 | − | 0.836838i | \(-0.315599\pi\) |
−0.836838 | + | 0.547450i | \(0.815599\pi\) | |||||||
\(234\) | −10.1352 | − | 7.74129i | −0.662560 | − | 0.506064i | ||||
\(235\) | −11.3007 | + | 27.2823i | −0.737176 | + | 1.77970i | ||||
\(236\) | −6.35827 | + | 18.9905i | −0.413888 | + | 1.23618i | ||||
\(237\) | −3.36863 | − | 3.48023i | −0.218816 | − | 0.226065i | ||||
\(238\) | −1.23682 | + | 1.32607i | −0.0801713 | + | 0.0859564i | ||||
\(239\) | −0.591936 | + | 0.341754i | −0.0382891 | + | 0.0221062i | −0.519022 | − | 0.854761i | \(-0.673704\pi\) |
0.480733 | + | 0.876867i | \(0.340371\pi\) | |||||||
\(240\) | 10.0650 | + | 17.7579i | 0.649692 | + | 1.14627i | ||||
\(241\) | −5.86601 | − | 3.38674i | −0.377863 | − | 0.218159i | 0.299025 | − | 0.954245i | \(-0.403339\pi\) |
−0.676888 | + | 0.736086i | \(0.736672\pi\) | |||||||
\(242\) | 12.9786 | − | 3.96656i | 0.834294 | − | 0.254980i | ||||
\(243\) | 15.3357 | − | 2.79592i | 0.983784 | − | 0.179358i | ||||
\(244\) | −4.51896 | − | 2.99230i | −0.289297 | − | 0.191562i | ||||
\(245\) | −11.8348 | − | 15.4234i | −0.756098 | − | 0.985365i | ||||
\(246\) | 0.0453053 | + | 2.44654i | 0.00288856 | + | 0.155986i | ||||
\(247\) | −0.531158 | + | 1.98231i | −0.0337968 | + | 0.126131i | ||||
\(248\) | −6.56212 | + | 4.76472i | −0.416695 | + | 0.302560i | ||||
\(249\) | 9.98753 | − | 23.0428i | 0.632934 | − | 1.46028i | ||||
\(250\) | −3.19389 | + | 4.47675i | −0.202000 | + | 0.283135i | ||||
\(251\) | 6.32538 | − | 15.2708i | 0.399254 | − | 0.963886i | −0.588589 | − | 0.808433i | \(-0.700316\pi\) |
0.987843 | − | 0.155453i | \(-0.0496837\pi\) | |||||||
\(252\) | −2.78572 | − | 2.58668i | −0.175484 | − | 0.162945i | ||||
\(253\) | −8.39107 | + | 3.47569i | −0.527542 | + | 0.218515i | ||||
\(254\) | 16.0673 | − | 10.0378i | 1.00815 | − | 0.629827i | ||||
\(255\) | −10.2156 | − | 1.51462i | −0.639729 | − | 0.0948494i | ||||
\(256\) | −3.88286 | + | 15.5217i | −0.242679 | + | 0.970107i | ||||
\(257\) | 12.0627 | − | 6.96440i | 0.752451 | − | 0.434428i | −0.0741281 | − | 0.997249i | \(-0.523617\pi\) |
0.826579 | + | 0.562821i | \(0.190284\pi\) | |||||||
\(258\) | −4.11678 | − | 3.03949i | −0.256299 | − | 0.189230i | ||||
\(259\) | −1.78664 | − | 0.235216i | −0.111017 | − | 0.0146156i | ||||
\(260\) | −14.6864 | + | 9.90194i | −0.910813 | + | 0.614092i | ||||
\(261\) | −24.6410 | − | 20.2167i | −1.52524 | − | 1.25138i | ||||
\(262\) | −1.46253 | + | 15.1734i | −0.0903553 | + | 0.937418i | ||||
\(263\) | −7.98028 | + | 2.13831i | −0.492085 | + | 0.131854i | −0.496324 | − | 0.868137i | \(-0.665317\pi\) |
0.00423929 | + | 0.999991i | \(0.498651\pi\) | |||||||
\(264\) | −2.68458 | − | 5.14612i | −0.165225 | − | 0.316722i | ||||
\(265\) | −30.4102 | − | 8.14839i | −1.86808 | − | 0.500552i | ||||
\(266\) | −0.214284 | + | 0.572958i | −0.0131386 | + | 0.0351303i | ||||
\(267\) | −10.2572 | − | 18.4539i | −0.627728 | − | 1.12936i | ||||
\(268\) | 1.87078 | + | 3.75404i | 0.114276 | + | 0.229315i | ||||
\(269\) | 18.6408 | − | 7.72126i | 1.13655 | − | 0.470773i | 0.266546 | − | 0.963822i | \(-0.414118\pi\) |
0.870002 | + | 0.493049i | \(0.164118\pi\) | |||||||
\(270\) | 3.12763 | − | 21.4230i | 0.190342 | − | 1.30376i | ||||
\(271\) | 12.7899 | 0.776930 | 0.388465 | − | 0.921464i | \(-0.373005\pi\) | ||||
0.388465 | + | 0.921464i | \(0.373005\pi\) | |||||||
\(272\) | −4.98137 | − | 6.38099i | −0.302040 | − | 0.386904i | ||||
\(273\) | 2.05053 | − | 2.58402i | 0.124104 | − | 0.156392i | ||||
\(274\) | 7.82857 | + | 7.30168i | 0.472941 | + | 0.441111i | ||||
\(275\) | −2.65432 | + | 3.45918i | −0.160062 | + | 0.208596i | ||||
\(276\) | −14.4845 | − | 22.2571i | −0.871865 | − | 1.33972i | ||||
\(277\) | 4.25340 | − | 3.26375i | 0.255562 | − | 0.196100i | −0.473032 | − | 0.881045i | \(-0.656841\pi\) |
0.728594 | + | 0.684945i | \(0.240174\pi\) | |||||||
\(278\) | −4.58561 | − | 5.56389i | −0.275026 | − | 0.333700i | ||||
\(279\) | 8.59685 | + | 0.280238i | 0.514680 | + | 0.0167774i | ||||
\(280\) | −4.64062 | + | 2.51789i | −0.277330 | + | 0.150473i | ||||
\(281\) | 1.08798 | + | 4.06041i | 0.0649037 | + | 0.242224i | 0.990755 | − | 0.135664i | \(-0.0433169\pi\) |
−0.925851 | + | 0.377889i | \(0.876650\pi\) | |||||||
\(282\) | 23.8285 | + | 5.91423i | 1.41897 | + | 0.352187i | ||||
\(283\) | −2.05451 | − | 15.6056i | −0.122128 | − | 0.927654i | −0.937322 | − | 0.348466i | \(-0.886703\pi\) |
0.815194 | − | 0.579189i | \(-0.196631\pi\) | |||||||
\(284\) | 17.5177 | − | 6.02799i | 1.03948 | − | 0.357695i | ||||
\(285\) | −3.37939 | + | 0.846743i | −0.200178 | + | 0.0501567i | ||||
\(286\) | 4.27164 | − | 2.66864i | 0.252588 | − | 0.157800i | ||||
\(287\) | −0.632924 | −0.0373603 | ||||||||
\(288\) | 13.3538 | − | 10.4726i | 0.786881 | − | 0.617105i | ||||
\(289\) | −12.9043 | −0.759077 | ||||||||
\(290\) | −37.5429 | + | 23.4543i | −2.20460 | + | 1.37729i | ||||
\(291\) | 13.2242 | + | 13.6623i | 0.775216 | + | 0.800898i | ||||
\(292\) | 8.99005 | + | 26.1255i | 0.526103 | + | 1.52888i | ||||
\(293\) | 0.831252 | + | 6.31399i | 0.0485623 | + | 0.368867i | 0.998420 | + | 0.0561857i | \(0.0178939\pi\) |
−0.949858 | + | 0.312681i | \(0.898773\pi\) | |||||||
\(294\) | −11.2155 | + | 11.6387i | −0.654102 | + | 0.678784i | ||||
\(295\) | −7.63552 | − | 28.4962i | −0.444557 | − | 1.65911i | ||||
\(296\) | 2.28710 | − | 7.71283i | 0.132935 | − | 0.448299i | ||||
\(297\) | −1.10083 | + | 6.05714i | −0.0638767 | + | 0.351471i | ||||
\(298\) | 11.8320 | + | 14.3562i | 0.685407 | + | 0.831630i | ||||
\(299\) | 18.2817 | − | 14.0281i | 1.05726 | − | 0.811264i | ||||
\(300\) | −11.3645 | − | 5.77667i | −0.656127 | − | 0.333516i | ||||
\(301\) | 0.805766 | − | 1.05009i | 0.0464436 | − | 0.0605265i | ||||
\(302\) | −18.2889 | − | 17.0580i | −1.05241 | − | 0.981578i | ||||
\(303\) | 7.14451 | + | 18.0759i | 0.410442 | + | 1.03843i | ||||
\(304\) | −2.37628 | − | 1.34566i | −0.136289 | − | 0.0771787i | ||||
\(305\) | 7.98401 | 0.457163 | ||||||||
\(306\) | 0.0190860 | + | 8.58616i | 0.00109107 | + | 0.490838i | ||||
\(307\) | 8.25442 | − | 3.41909i | 0.471105 | − | 0.195138i | −0.134484 | − | 0.990916i | \(-0.542938\pi\) |
0.605589 | + | 0.795778i | \(0.292938\pi\) | |||||||
\(308\) | 1.34371 | − | 0.669622i | 0.0765650 | − | 0.0381552i | ||||
\(309\) | 3.43204 | − | 5.72691i | 0.195242 | − | 0.325793i | ||||
\(310\) | 4.18471 | − | 11.1892i | 0.237676 | − | 0.635504i | ||||
\(311\) | −16.2361 | − | 4.35044i | −0.920663 | − | 0.246691i | −0.232794 | − | 0.972526i | \(-0.574787\pi\) |
−0.687869 | + | 0.725835i | \(0.741454\pi\) | |||||||
\(312\) | 9.95843 | + | 10.8488i | 0.563785 | + | 0.614193i | ||||
\(313\) | −23.3646 | + | 6.26053i | −1.32065 | + | 0.353866i | −0.849220 | − | 0.528040i | \(-0.822927\pi\) |
−0.471426 | + | 0.881906i | \(0.656260\pi\) | |||||||
\(314\) | −1.15006 | + | 11.9316i | −0.0649016 | + | 0.673341i | ||||
\(315\) | 5.52528 | + | 0.911441i | 0.311315 | + | 0.0513539i | ||||
\(316\) | 3.12656 | + | 4.63727i | 0.175883 | + | 0.260867i | ||||
\(317\) | 13.8447 | + | 1.82269i | 0.777597 | + | 0.102373i | 0.508870 | − | 0.860844i | \(-0.330063\pi\) |
0.268728 | + | 0.963216i | \(0.413397\pi\) | |||||||
\(318\) | −2.93546 | + | 26.0099i | −0.164613 | + | 1.45857i | ||||
\(319\) | 10.9012 | − | 6.29383i | 0.610352 | − | 0.352387i | ||||
\(320\) | −7.85471 | − | 22.2223i | −0.439092 | − | 1.24227i | ||||
\(321\) | −19.4533 | + | 24.5145i | −1.08578 | + | 1.36827i | ||||
\(322\) | 5.82534 | − | 3.63929i | 0.324634 | − | 0.202810i | ||||
\(323\) | 1.27648 | − | 0.528737i | 0.0710255 | − | 0.0294197i | ||||
\(324\) | −17.9998 | + | 0.0800232i | −0.999990 | + | 0.00444573i | ||||
\(325\) | 4.23345 | − | 10.2205i | 0.234830 | − | 0.566929i | ||||
\(326\) | 11.0408 | − | 15.4754i | 0.611494 | − | 0.857106i | ||||
\(327\) | 23.3787 | − | 2.69115i | 1.29285 | − | 0.148821i | ||||
\(328\) | 0.442823 | − | 2.79059i | 0.0244508 | − | 0.154085i | ||||
\(329\) | −1.64361 | + | 6.13403i | −0.0906151 | + | 0.338180i | ||||
\(330\) | 7.48266 | + | 4.13732i | 0.411907 | + | 0.227752i | ||||
\(331\) | −11.8418 | − | 15.4325i | −0.650884 | − | 0.848249i | 0.345027 | − | 0.938593i | \(-0.387870\pi\) |
−0.995911 | + | 0.0903444i | \(0.971203\pi\) | |||||||
\(332\) | −16.0105 | + | 24.1790i | −0.878693 | + | 1.32700i | ||||
\(333\) | −6.93515 | + | 4.97112i | −0.380044 | + | 0.272416i | ||||
\(334\) | −3.09701 | + | 0.946521i | −0.169461 | + | 0.0517913i | ||||
\(335\) | −5.35093 | − | 3.08936i | −0.292353 | − | 0.168790i | ||||
\(336\) | 2.64440 | + | 3.50362i | 0.144264 | + | 0.191138i | ||||
\(337\) | −1.34414 | + | 0.776042i | −0.0732202 | + | 0.0422737i | −0.536163 | − | 0.844114i | \(-0.680127\pi\) |
0.462943 | + | 0.886388i | \(0.346793\pi\) | |||||||
\(338\) | 3.82353 | − | 4.09943i | 0.207972 | − | 0.222979i | ||||
\(339\) | 21.8400 | − | 5.47225i | 1.18619 | − | 0.297212i | ||||
\(340\) | 11.3080 | + | 3.78605i | 0.613262 | + | 0.205327i | ||||
\(341\) | −1.29996 | + | 3.13839i | −0.0703969 | + | 0.169953i | ||||
\(342\) | 1.11439 | + | 2.67354i | 0.0602591 | + | 0.144569i | ||||
\(343\) | −6.09226 | − | 6.09226i | −0.328951 | − | 0.328951i | ||||
\(344\) | 4.06617 | + | 4.28736i | 0.219233 | + | 0.231159i | ||||
\(345\) | 35.8922 | + | 15.5569i | 1.93237 | + | 0.837555i | ||||
\(346\) | −1.08290 | + | 0.493381i | −0.0582173 | + | 0.0265243i | ||||
\(347\) | −9.56611 | + | 1.25940i | −0.513535 | + | 0.0676082i | −0.382841 | − | 0.923814i | \(-0.625054\pi\) |
−0.130695 | + | 0.991423i | \(0.541721\pi\) | |||||||
\(348\) | 23.9292 | + | 27.9628i | 1.28274 | + | 1.49896i | ||||
\(349\) | −1.16021 | + | 8.81265i | −0.0621045 | + | 0.471730i | 0.931928 | + | 0.362644i | \(0.118126\pi\) |
−0.994032 | + | 0.109086i | \(0.965207\pi\) | |||||||
\(350\) | 1.54835 | − | 2.91133i | 0.0827625 | − | 0.155617i | ||||
\(351\) | −1.27970 | − | 15.5672i | −0.0683053 | − | 0.830916i | ||||
\(352\) | 2.01227 | + | 6.39298i | 0.107254 | + | 0.340747i | ||||
\(353\) | 4.69231 | + | 2.70910i | 0.249746 | + | 0.144191i | 0.619648 | − | 0.784880i | \(-0.287275\pi\) |
−0.369902 | + | 0.929071i | \(0.620609\pi\) | |||||||
\(354\) | −22.4829 | + | 9.80425i | −1.19495 | + | 0.521090i | ||||
\(355\) | −16.6133 | + | 21.6509i | −0.881745 | + | 1.14911i | ||||
\(356\) | 7.93256 | + | 23.0524i | 0.420425 | + | 1.22178i | ||||
\(357\) | −2.22058 | − | 0.0361833i | −0.117526 | − | 0.00191503i | ||||
\(358\) | 12.9387 | − | 18.1357i | 0.683832 | − | 0.958499i | ||||
\(359\) | 11.7607 | + | 11.7607i | 0.620705 | + | 0.620705i | 0.945712 | − | 0.325007i | \(-0.105367\pi\) |
−0.325007 | + | 0.945712i | \(0.605367\pi\) | |||||||
\(360\) | −7.88433 | + | 23.7236i | −0.415541 | + | 1.25034i | ||||
\(361\) | −13.1055 | + | 13.1055i | −0.689761 | + | 0.689761i | ||||
\(362\) | −1.86822 | − | 11.1708i | −0.0981917 | − | 0.587122i | ||||
\(363\) | 14.2571 | + | 8.54403i | 0.748303 | + | 0.448445i | ||||
\(364\) | −2.85333 | + | 2.52342i | −0.149555 | + | 0.132263i | ||||
\(365\) | −32.2898 | − | 24.7769i | −1.69013 | − | 1.29688i | ||||
\(366\) | −0.988126 | − | 6.56398i | −0.0516502 | − | 0.343105i | ||||
\(367\) | 13.5355 | − | 23.4442i | 0.706547 | − | 1.22378i | −0.259583 | − | 0.965721i | \(-0.583585\pi\) |
0.966130 | − | 0.258055i | \(-0.0830816\pi\) | |||||||
\(368\) | 11.9701 | + | 28.2304i | 0.623986 | + | 1.47161i | ||||
\(369\) | −2.18705 | + | 2.04896i | −0.113853 | + | 0.106665i | ||||
\(370\) | 3.46373 | + | 11.3333i | 0.180071 | + | 0.589191i | ||||
\(371\) | −6.71245 | − | 0.883710i | −0.348493 | − | 0.0458799i | ||||
\(372\) | −9.71701 | − | 2.05561i | −0.503804 | − | 0.106579i | ||||
\(373\) | 0.242150 | + | 1.83932i | 0.0125381 | + | 0.0952361i | 0.996570 | − | 0.0827575i | \(-0.0263727\pi\) |
−0.984032 | + | 0.177994i | \(0.943039\pi\) | |||||||
\(374\) | −3.17609 | − | 1.18784i | −0.164232 | − | 0.0614219i | ||||
\(375\) | −6.69105 | + | 0.770214i | −0.345524 | + | 0.0397737i | ||||
\(376\) | −25.8953 | − | 11.5384i | −1.33545 | − | 0.595048i | ||||
\(377\) | −22.5829 | + | 22.5829i | −1.16308 | + | 1.16308i | ||||
\(378\) | 0.0655064 | − | 4.65537i | 0.00336928 | − | 0.239446i | ||||
\(379\) | −27.4416 | − | 11.3667i | −1.40958 | − | 0.583867i | −0.457359 | − | 0.889282i | \(-0.651205\pi\) |
−0.952219 | + | 0.305415i | \(0.901205\pi\) | |||||||
\(380\) | 4.01307 | − | 0.279834i | 0.205866 | − | 0.0143552i | ||||
\(381\) | 22.3114 | + | 6.36969i | 1.14305 | + | 0.326329i | ||||
\(382\) | 36.0089 | − | 1.25394i | 1.84237 | − | 0.0641573i | ||||
\(383\) | 12.1738 | + | 21.0857i | 0.622055 | + | 1.07743i | 0.989103 | + | 0.147228i | \(0.0470352\pi\) |
−0.367048 | + | 0.930202i | \(0.619631\pi\) | |||||||
\(384\) | −17.2978 | + | 9.20799i | −0.882723 | + | 0.469893i | ||||
\(385\) | −1.10580 | + | 1.91530i | −0.0563566 | + | 0.0976125i | ||||
\(386\) | −11.0833 | + | 20.8398i | −0.564127 | + | 1.06072i | ||||
\(387\) | −0.615172 | − | 6.23707i | −0.0312709 | − | 0.317048i | ||||
\(388\) | −12.2739 | − | 18.2044i | −0.623112 | − | 0.924190i | ||||
\(389\) | 2.81058 | − | 2.15664i | 0.142502 | − | 0.109346i | −0.535050 | − | 0.844820i | \(-0.679707\pi\) |
0.677552 | + | 0.735474i | \(0.263041\pi\) | |||||||
\(390\) | −21.0547 | − | 5.22577i | −1.06615 | − | 0.264617i | ||||
\(391\) | −14.9854 | − | 4.01532i | −0.757842 | − | 0.203063i | ||||
\(392\) | 15.1024 | − | 10.9658i | 0.762785 | − | 0.553855i | ||||
\(393\) | −14.9949 | + | 11.1226i | −0.756392 | + | 0.561060i | ||||
\(394\) | −3.34774 | − | 20.0173i | −0.168657 | − | 1.00846i | ||||
\(395\) | −7.61166 | − | 3.15285i | −0.382984 | − | 0.158637i | ||||
\(396\) | 2.47538 | − | 6.66385i | 0.124393 | − | 0.334871i | ||||
\(397\) | −3.99497 | − | 9.64470i | −0.200502 | − | 0.484054i | 0.791364 | − | 0.611346i | \(-0.209372\pi\) |
−0.991865 | + | 0.127292i | \(0.959372\pi\) | |||||||
\(398\) | 10.6525 | + | 2.46042i | 0.533962 | + | 0.123330i | ||||
\(399\) | −0.696749 | + | 0.275391i | −0.0348811 | + | 0.0137868i | ||||
\(400\) | 11.7529 | + | 8.86363i | 0.587645 | + | 0.443182i | ||||
\(401\) | 17.8921 | + | 30.9900i | 0.893488 | + | 1.54757i | 0.835664 | + | 0.549241i | \(0.185083\pi\) |
0.0578241 | + | 0.998327i | \(0.481584\pi\) | |||||||
\(402\) | −1.87764 | + | 4.78157i | −0.0936484 | + | 0.238483i | ||||
\(403\) | 1.12496 | − | 8.54493i | 0.0560383 | − | 0.425653i | ||||
\(404\) | −4.47021 | − | 21.9938i | −0.222401 | − | 1.09423i | ||||
\(405\) | 22.0430 | − | 14.7375i | 1.09533 | − | 0.732314i | ||||
\(406\) | −7.34613 | + | 6.05448i | −0.364582 | + | 0.300479i | ||||
\(407\) | −0.872183 | − | 3.25503i | −0.0432325 | − | 0.161346i | ||||
\(408\) | 1.71316 | − | 9.76533i | 0.0848139 | − | 0.483456i | ||||
\(409\) | −3.59107 | + | 13.4021i | −0.177567 | + | 0.662689i | 0.818533 | + | 0.574459i | \(0.194788\pi\) |
−0.996100 | + | 0.0882297i | \(0.971879\pi\) | |||||||
\(410\) | 1.72569 | + | 3.78767i | 0.0852260 | + | 0.187060i | ||||
\(411\) | −0.213611 | + | 13.1094i | −0.0105367 | + | 0.646638i | ||||
\(412\) | −5.05897 | + | 5.81739i | −0.249238 | + | 0.286602i | ||||
\(413\) | −2.42783 | − | 5.86131i | −0.119466 | − | 0.288416i | ||||
\(414\) | 8.34782 | − | 31.4338i | 0.410273 | − | 1.54489i | ||||
\(415\) | − | 42.7191i | − | 2.09700i | ||||||
\(416\) | −9.12956 | − | 14.3460i | −0.447614 | − | 0.703369i | ||||
\(417\) | 1.29509 | − | 8.73497i | 0.0634209 | − | 0.427753i | ||||
\(418\) | −1.14322 | + | 0.0398106i | −0.0559168 | + | 0.00194720i | ||||
\(419\) | −15.3297 | − | 11.7629i | −0.748907 | − | 0.574657i | 0.162233 | − | 0.986752i | \(-0.448130\pi\) |
−0.911141 | + | 0.412096i | \(0.864797\pi\) | |||||||
\(420\) | −6.09746 | − | 2.15260i | −0.297525 | − | 0.105036i | ||||
\(421\) | 4.80753 | + | 6.26530i | 0.234305 | + | 0.305352i | 0.895676 | − | 0.444706i | \(-0.146692\pi\) |
−0.661372 | + | 0.750058i | \(0.730025\pi\) | |||||||
\(422\) | 2.63691 | − | 27.3574i | 0.128363 | − | 1.33174i | ||||
\(423\) | 14.1783 | + | 26.5168i | 0.689371 | + | 1.28929i | ||||
\(424\) | 8.59266 | − | 28.9772i | 0.417297 | − | 1.40726i | ||||
\(425\) | −7.19402 | + | 1.92763i | −0.348961 | + | 0.0935038i | ||||
\(426\) | 19.8562 | + | 10.9789i | 0.962038 | + | 0.531931i | ||||
\(427\) | 1.70226 | − | 0.224107i | 0.0823782 | − | 0.0108453i | ||||
\(428\) | 27.0694 | − | 23.9396i | 1.30845 | − | 1.15716i | ||||
\(429\) | 5.93171 | + | 1.69344i | 0.286385 | + | 0.0817602i | ||||
\(430\) | −8.48114 | − | 1.95890i | −0.408997 | − | 0.0944664i | ||||
\(431\) | 11.7304i | 0.565033i | 0.959263 | + | 0.282516i | \(0.0911691\pi\) | ||||
−0.959263 | + | 0.282516i | \(0.908831\pi\) | |||||||
\(432\) | 20.4799 | + | 3.54593i | 0.985340 | + | 0.170604i | ||||
\(433\) | − | 5.97268i | − | 0.287029i | −0.989648 | − | 0.143514i | \(-0.954160\pi\) | ||
0.989648 | − | 0.143514i | \(-0.0458403\pi\) | |||||||
\(434\) | 0.578143 | − | 2.50310i | 0.0277518 | − | 0.120153i | ||||
\(435\) | −52.1330 | − | 14.8835i | −2.49959 | − | 0.713607i | ||||
\(436\) | −27.1227 | − | 1.66421i | −1.29894 | − | 0.0797010i | ||||
\(437\) | −5.18877 | + | 0.683115i | −0.248213 | + | 0.0326778i | ||||
\(438\) | −16.3738 | + | 29.6133i | −0.782370 | + | 1.41498i | ||||
\(439\) | 8.97073 | − | 2.40370i | 0.428150 | − | 0.114722i | −0.0383077 | − | 0.999266i | \(-0.512197\pi\) |
0.466458 | + | 0.884544i | \(0.345530\pi\) | |||||||
\(440\) | −7.67097 | − | 6.21554i | −0.365699 | − | 0.296314i | ||||
\(441\) | −19.7852 | − | 0.644954i | −0.942154 | − | 0.0307121i | ||||
\(442\) | 8.56370 | + | 0.825434i | 0.407334 | + | 0.0392619i | ||||
\(443\) | 15.2830 | + | 19.9172i | 0.726116 | + | 0.946293i | 0.999880 | − | 0.0155039i | \(-0.00493523\pi\) |
−0.273764 | + | 0.961797i | \(0.588269\pi\) | |||||||
\(444\) | 8.88890 | − | 4.25032i | 0.421849 | − | 0.201711i | ||||
\(445\) | −28.4916 | − | 21.8624i | −1.35063 | − | 1.03638i | ||||
\(446\) | 0.214930 | + | 6.17203i | 0.0101772 | + | 0.292254i | ||||
\(447\) | −3.34164 | + | 22.5383i | −0.158054 | + | 1.06603i | ||||
\(448\) | −2.29846 | − | 4.51752i | −0.108592 | − | 0.213433i | ||||
\(449\) | 11.5900i | 0.546968i | 0.961877 | + | 0.273484i | \(0.0881760\pi\) | ||||
−0.961877 | + | 0.273484i | \(0.911824\pi\) | |||||||
\(450\) | −4.07459 | − | 15.0725i | −0.192078 | − | 0.710523i | ||||
\(451\) | −0.452932 | − | 1.09348i | −0.0213278 | − | 0.0514898i | ||||
\(452\) | −25.9353 | + | 1.80849i | −1.21989 | + | 0.0850642i | ||||
\(453\) | 0.499034 | − | 30.6258i | 0.0234466 | − | 1.43893i | ||||
\(454\) | 15.6658 | − | 7.13749i | 0.735235 | − | 0.334979i | ||||
\(455\) | 1.45228 | − | 5.41998i | 0.0680840 | − | 0.254093i | ||||
\(456\) | −0.726733 | − | 3.26467i | −0.0340324 | − | 0.152882i | ||||
\(457\) | −6.56261 | − | 24.4920i | −0.306986 | − | 1.14569i | −0.931222 | − | 0.364452i | \(-0.881256\pi\) |
0.624236 | − | 0.781236i | \(-0.285410\pi\) | |||||||
\(458\) | −26.4480 | − | 32.0903i | −1.23583 | − | 1.49948i | ||||
\(459\) | −7.79028 | + | 7.06365i | −0.363619 | + | 0.329703i | ||||
\(460\) | −37.6620 | − | 24.9385i | −1.75600 | − | 1.16276i | ||||
\(461\) | 1.43061 | − | 10.8666i | 0.0666301 | − | 0.506106i | −0.925292 | − | 0.379256i | \(-0.876180\pi\) |
0.991922 | − | 0.126850i | \(-0.0404867\pi\) | |||||||
\(462\) | 1.71150 | + | 0.672078i | 0.0796262 | + | 0.0312679i | ||||
\(463\) | −0.589636 | − | 1.02128i | −0.0274027 | − | 0.0474629i | 0.851999 | − | 0.523544i | \(-0.175390\pi\) |
−0.879402 | + | 0.476081i | \(0.842057\pi\) | |||||||
\(464\) | −21.5548 | − | 36.6255i | −1.00066 | − | 1.70029i | ||||
\(465\) | 13.6067 | − | 5.37806i | 0.630994 | − | 0.249401i | ||||
\(466\) | −1.98820 | + | 8.60801i | −0.0921016 | + | 0.398759i | ||||
\(467\) | −1.82869 | − | 4.41486i | −0.0846219 | − | 0.204295i | 0.875904 | − | 0.482485i | \(-0.160266\pi\) |
−0.960526 | + | 0.278190i | \(0.910266\pi\) | |||||||
\(468\) | −1.69052 | + | 17.9567i | −0.0781444 | + | 0.830048i | ||||
\(469\) | −1.22758 | − | 0.508482i | −0.0566845 | − | 0.0234795i | ||||
\(470\) | 41.1899 | − | 6.88869i | 1.89995 | − | 0.317752i | ||||
\(471\) | −11.7912 | + | 8.74624i | −0.543311 | + | 0.403005i | ||||
\(472\) | 27.5414 | − | 6.60359i | 1.26770 | − | 0.303955i | ||||
\(473\) | 2.39083 | + | 0.640620i | 0.109930 | + | 0.0294557i | ||||
\(474\) | −1.65005 | + | 6.64807i | −0.0757892 | + | 0.305356i | ||||
\(475\) | −1.99327 | + | 1.52949i | −0.0914577 | + | 0.0701780i | ||||
\(476\) | 2.51723 | + | 0.489810i | 0.115377 | + | 0.0224504i | ||||
\(477\) | −26.0555 | + | 18.6766i | −1.19300 | + | 0.855141i | ||||
\(478\) | 0.853437 | + | 0.453887i | 0.0390353 | + | 0.0207603i | ||||
\(479\) | −6.23270 | + | 10.7954i | −0.284779 | + | 0.493252i | −0.972556 | − | 0.232670i | \(-0.925254\pi\) |
0.687776 | + | 0.725923i | \(0.258587\pi\) | |||||||
\(480\) | 13.7570 | − | 25.3779i | 0.627918 | − | 1.15834i | ||||
\(481\) | 4.27494 | + | 7.40442i | 0.194921 | + | 0.337612i | ||||
\(482\) | 0.333374 | + | 9.57335i | 0.0151848 | + | 0.436054i | ||||
\(483\) | 8.08921 | + | 2.30939i | 0.368072 | + | 0.105081i | ||||
\(484\) | −14.4823 | − | 12.5943i | −0.658288 | − | 0.572466i | ||||
\(485\) | 29.8810 | + | 12.3771i | 1.35682 | + | 0.562015i | ||||
\(486\) | −14.8445 | − | 16.2985i | −0.673358 | − | 0.739316i | ||||
\(487\) | −18.2953 | + | 18.2953i | −0.829039 | + | 0.829039i | −0.987384 | − | 0.158345i | \(-0.949384\pi\) |
0.158345 | + | 0.987384i | \(0.449384\pi\) | |||||||
\(488\) | −0.202883 | + | 7.66215i | −0.00918410 | + | 0.346849i | ||||
\(489\) | 23.1299 | − | 2.66251i | 1.04597 | − | 0.120403i | ||||
\(490\) | −9.63091 | + | 25.7514i | −0.435080 | + | 1.16333i | ||||
\(491\) | 3.93750 | + | 29.9083i | 0.177697 | + | 1.34974i | 0.815149 | + | 0.579252i | \(0.196655\pi\) |
−0.637452 | + | 0.770490i | \(0.720011\pi\) | |||||||
\(492\) | 2.90042 | − | 1.88754i | 0.130761 | − | 0.0850968i | ||||
\(493\) | 21.3174 | + | 2.80649i | 0.960089 | + | 0.126398i | ||||
\(494\) | 2.77557 | − | 0.848280i | 0.124879 | − | 0.0381659i | ||||
\(495\) | 2.37934 | + | 10.1980i | 0.106943 | + | 0.458368i | ||||
\(496\) | 10.6318 | + | 4.30035i | 0.477381 | + | 0.193091i | ||||
\(497\) | −2.93438 | + | 5.08250i | −0.131625 | + | 0.227981i | ||||
\(498\) | −35.1211 | + | 5.28705i | −1.57381 | + | 0.236918i | ||||
\(499\) | 3.07761 | + | 2.36154i | 0.137773 | + | 0.105717i | 0.675349 | − | 0.737499i | \(-0.263993\pi\) |
−0.537576 | + | 0.843215i | \(0.680660\pi\) | |||||||
\(500\) | 7.76258 | + | 0.476299i | 0.347153 | + | 0.0213008i | ||||
\(501\) | −3.40210 | − | 2.03882i | −0.151995 | − | 0.0910877i | ||||
\(502\) | −23.0554 | + | 3.85583i | −1.02901 | + | 0.172094i | ||||
\(503\) | 10.2603 | − | 10.2603i | 0.457486 | − | 0.457486i | −0.440344 | − | 0.897829i | \(-0.645143\pi\) |
0.897829 | + | 0.440344i | \(0.145143\pi\) | |||||||
\(504\) | −1.01510 | + | 5.27938i | −0.0452162 | + | 0.235162i | ||||
\(505\) | 23.3780 | + | 23.3780i | 1.04031 | + | 1.04031i | ||||
\(506\) | 10.4562 | + | 7.45985i | 0.464834 | + | 0.331631i | ||||
\(507\) | 6.86473 | + | 0.111858i | 0.304873 | + | 0.00496777i | ||||
\(508\) | −24.0785 | − | 11.7497i | −1.06831 | − | 0.521308i | ||||
\(509\) | 4.33821 | − | 5.65367i | 0.192288 | − | 0.250594i | −0.687253 | − | 0.726418i | \(-0.741183\pi\) |
0.879540 | + | 0.475824i | \(0.157850\pi\) | |||||||
\(510\) | 5.83797 | + | 13.3875i | 0.258510 | + | 0.592808i | ||||
\(511\) | −7.57995 | − | 4.37629i | −0.335317 | − | 0.193596i | ||||
\(512\) | 21.5261 | − | 6.97337i | 0.951327 | − | 0.308182i | ||||
\(513\) | −1.51607 | + | 3.20719i | −0.0669361 | + | 0.141601i | ||||
\(514\) | −17.3917 | − | 9.24949i | −0.767114 | − | 0.407978i | ||||
\(515\) | 1.48236 | − | 11.2596i | 0.0653205 | − | 0.496158i | ||||
\(516\) | −0.560837 | + | 7.21513i | −0.0246895 | + | 0.317629i | ||||
\(517\) | −11.7737 | + | 1.55004i | −0.517807 | + | 0.0681706i | ||||
\(518\) | 1.05662 | + | 2.31914i | 0.0464252 | + | 0.101897i | ||||
\(519\) | −1.33724 | − | 0.579606i | −0.0586984 | − | 0.0254419i | ||||
\(520\) | 22.8809 | + | 10.1952i | 1.00339 | + | 0.447091i | ||||
\(521\) | −0.310594 | − | 0.310594i | −0.0136074 | − | 0.0136074i | 0.700270 | − | 0.713878i | \(-0.253063\pi\) |
−0.713878 | + | 0.700270i | \(0.753063\pi\) | |||||||
\(522\) | −5.78416 | + | 44.7027i | −0.253166 | + | 1.95658i | ||||
\(523\) | −6.00563 | + | 14.4989i | −0.262608 | + | 0.633991i | −0.999098 | − | 0.0424566i | \(-0.986482\pi\) |
0.736491 | + | 0.676448i | \(0.236482\pi\) | |||||||
\(524\) | 19.2948 | − | 9.61534i | 0.842897 | − | 0.420048i | ||||
\(525\) | 3.91744 | − | 0.981557i | 0.170971 | − | 0.0428387i | ||||
\(526\) | 8.54431 | + | 7.96926i | 0.372550 | + | 0.347476i | ||||
\(527\) | −5.02508 | + | 2.90123i | −0.218896 | + | 0.126380i | ||||
\(528\) | −4.16067 | + | 7.07587i | −0.181070 | + | 0.307938i | ||||
\(529\) | 30.9735 | + | 17.8826i | 1.34667 | + | 0.777502i | ||||
\(530\) | 13.0133 | + | 42.5794i | 0.565262 | + | 1.84953i | ||||
\(531\) | −27.3641 | − | 12.3939i | −1.18750 | − | 0.537851i | ||||
\(532\) | 0.847767 | − | 0.172308i | 0.0367553 | − | 0.00747049i | ||||
\(533\) | 1.82806 | + | 2.38237i | 0.0791819 | + | 0.103192i | ||||
\(534\) | −14.4478 | + | 26.1299i | −0.625216 | + | 1.13075i | ||||
\(535\) | −13.7777 | + | 51.4192i | −0.595663 | + | 2.22304i | ||||
\(536\) | 3.10080 | − | 5.05672i | 0.133934 | − | 0.218417i | ||||
\(537\) | 27.1060 | − | 3.12019i | 1.16971 | − | 0.134646i | ||||
\(538\) | −23.2284 | − | 16.5721i | −1.00145 | − | 0.714473i | ||||
\(539\) | 2.99180 | − | 7.22284i | 0.128866 | − | 0.311110i | ||||
\(540\) | −28.0382 | + | 12.3010i | −1.20657 | + | 0.529352i | ||||
\(541\) | 42.2351 | − | 17.4944i | 1.81583 | − | 0.752141i | 0.837081 | − | 0.547079i | \(-0.184260\pi\) |
0.978749 | − | 0.205063i | \(-0.0657399\pi\) | |||||||
\(542\) | −9.58348 | − | 15.3401i | −0.411646 | − | 0.658914i | ||||
\(543\) | 8.62252 | − | 10.8658i | 0.370028 | − | 0.466298i | ||||
\(544\) | −3.92077 | + | 10.7559i | −0.168102 | + | 0.461156i | ||||
\(545\) | 34.6667 | − | 20.0148i | 1.48496 | − | 0.857342i | ||||
\(546\) | −4.63573 | − | 0.523185i | −0.198391 | − | 0.0223903i | ||||
\(547\) | 10.2782 | + | 1.35315i | 0.439464 | + | 0.0578565i | 0.347012 | − | 0.937861i | \(-0.387196\pi\) |
0.0924518 | + | 0.995717i | \(0.470530\pi\) | |||||||
\(548\) | 2.89164 | − | 14.8607i | 0.123525 | − | 0.634818i | ||||
\(549\) | 5.15661 | − | 6.28512i | 0.220079 | − | 0.268242i | ||||
\(550\) | 6.13780 | + | 0.591607i | 0.261717 | + | 0.0252262i | ||||
\(551\) | 7.00621 | − | 1.87731i | 0.298474 | − | 0.0799760i | ||||
\(552\) | −15.8418 | + | 34.0500i | −0.674272 | + | 1.44926i | ||||
\(553\) | −1.71137 | − | 0.458561i | −0.0727749 | − | 0.0195000i | ||||
\(554\) | −7.10161 | − | 2.65597i | −0.301718 | − | 0.112841i | ||||
\(555\) | −7.46093 | + | 12.4498i | −0.316699 | + | 0.528463i | ||||
\(556\) | −3.23729 | + | 9.66898i | −0.137292 | + | 0.410056i | ||||
\(557\) | −25.6193 | + | 10.6118i | −1.08552 | + | 0.449638i | −0.852443 | − | 0.522820i | \(-0.824880\pi\) |
−0.233079 | + | 0.972458i | \(0.574880\pi\) | |||||||
\(558\) | −6.10552 | − | 10.5210i | −0.258467 | − | 0.445389i | ||||
\(559\) | −6.27990 | −0.265612 | ||||||||
\(560\) | 6.49717 | + | 3.67927i | 0.274555 | + | 0.155477i | ||||
\(561\) | −1.52658 | − | 3.86230i | −0.0644521 | − | 0.163066i | ||||
\(562\) | 4.05481 | − | 4.34740i | 0.171042 | − | 0.183384i | ||||
\(563\) | −18.4467 | + | 24.0402i | −0.777437 | + | 1.01318i | 0.221837 | + | 0.975084i | \(0.428795\pi\) |
−0.999274 | + | 0.0380920i | \(0.987872\pi\) | |||||||
\(564\) | −10.7613 | − | 33.0113i | −0.453131 | − | 1.39003i | ||||
\(565\) | 30.3840 | − | 23.3144i | 1.27826 | − | 0.980846i | ||||
\(566\) | −17.1778 | + | 14.1574i | −0.722036 | + | 0.595082i | ||||
\(567\) | 4.28610 | − | 3.76091i | 0.179999 | − | 0.157943i | ||||
\(568\) | −20.3560 | − | 16.4938i | −0.854117 | − | 0.692064i | ||||
\(569\) | 3.64833 | + | 13.6157i | 0.152946 | + | 0.570801i | 0.999273 | + | 0.0381373i | \(0.0121424\pi\) |
−0.846327 | + | 0.532664i | \(0.821191\pi\) | |||||||
\(570\) | 3.54776 | + | 3.41876i | 0.148599 | + | 0.143196i | ||||
\(571\) | −2.84392 | − | 21.6017i | −0.119015 | − | 0.904005i | −0.941922 | − | 0.335830i | \(-0.890983\pi\) |
0.822908 | − | 0.568175i | \(-0.192350\pi\) | |||||||
\(572\) | −6.40150 | − | 3.12377i | −0.267660 | − | 0.130611i | ||||
\(573\) | 30.6910 | + | 31.7077i | 1.28213 | + | 1.32461i | ||||
\(574\) | 0.474251 | + | 0.759125i | 0.0197949 | + | 0.0316853i | ||||
\(575\) | 28.2113 | 1.17649 | ||||||||
\(576\) | −22.5668 | − | 8.16934i | −0.940285 | − | 0.340389i | ||||
\(577\) | 12.1248 | 0.504762 | 0.252381 | − | 0.967628i | \(-0.418786\pi\) | ||||
0.252381 | + | 0.967628i | \(0.418786\pi\) | |||||||
\(578\) | 9.66922 | + | 15.4774i | 0.402187 | + | 0.643773i | ||||
\(579\) | −28.0418 | + | 7.02617i | −1.16538 | + | 0.291998i | ||||
\(580\) | 56.2620 | + | 27.4544i | 2.33615 | + | 1.13998i | ||||
\(581\) | −1.19910 | − | 9.10809i | −0.0497472 | − | 0.377867i | ||||
\(582\) | 6.47756 | − | 26.0982i | 0.268504 | − | 1.08181i | ||||
\(583\) | −3.27681 | − | 12.2292i | −0.135711 | − | 0.506482i | ||||
\(584\) | 24.5986 | − | 30.3585i | 1.01790 | − | 1.25624i | ||||
\(585\) | −12.5278 | − | 23.4300i | −0.517961 | − | 0.968713i | ||||
\(586\) | 6.95010 | − | 5.72808i | 0.287106 | − | 0.236625i | ||||
\(587\) | 25.0341 | − | 19.2094i | 1.03327 | − | 0.792855i | 0.0546435 | − | 0.998506i | \(-0.482598\pi\) |
0.978625 | + | 0.205651i | \(0.0659311\pi\) | |||||||
\(588\) | 22.3632 | + | 4.73089i | 0.922244 | + | 0.195099i | ||||
\(589\) | −1.19161 | + | 1.55293i | −0.0490992 | + | 0.0639874i | ||||
\(590\) | −28.4568 | + | 30.5102i | −1.17155 | + | 1.25609i | ||||
\(591\) | 15.4510 | − | 19.4709i | 0.635569 | − | 0.800925i | ||||
\(592\) | −10.9644 | + | 3.03611i | −0.450636 | + | 0.124783i | ||||
\(593\) | −42.1432 | −1.73061 | −0.865306 | − | 0.501244i | \(-0.832876\pi\) | ||||
−0.865306 | + | 0.501244i | \(0.832876\pi\) | |||||||
\(594\) | 8.08975 | − | 3.21830i | 0.331927 | − | 0.132048i | ||||
\(595\) | −3.49014 | + | 1.44566i | −0.143082 | + | 0.0592663i | ||||
\(596\) | 8.35299 | − | 24.9483i | 0.342152 | − | 1.02192i | ||||
\(597\) | 6.50522 | + | 11.7037i | 0.266241 | + | 0.479000i | ||||
\(598\) | −30.5237 | − | 11.4157i | −1.24821 | − | 0.466825i | ||||
\(599\) | −22.2691 | − | 5.96698i | −0.909889 | − | 0.243804i | −0.226631 | − | 0.973981i | \(-0.572771\pi\) |
−0.683258 | + | 0.730177i | \(0.739438\pi\) | |||||||
\(600\) | 1.58691 | + | 17.9589i | 0.0647852 | + | 0.733171i | ||||
\(601\) | −13.9859 | + | 3.74752i | −0.570498 | + | 0.152865i | −0.532525 | − | 0.846414i | \(-0.678757\pi\) |
−0.0379732 | + | 0.999279i | \(0.512090\pi\) | |||||||
\(602\) | −1.86324 | − | 0.179593i | −0.0759400 | − | 0.00731966i | ||||
\(603\) | −5.88798 | + | 2.21701i | −0.239777 | + | 0.0902837i | ||||
\(604\) | −6.75537 | + | 34.7172i | −0.274872 | + | 1.41262i | ||||
\(605\) | 28.0307 | + | 3.69031i | 1.13961 | + | 0.150033i | ||||
\(606\) | 16.3267 | − | 22.1134i | 0.663227 | − | 0.898294i | ||||
\(607\) | 32.0940 | − | 18.5295i | 1.30266 | − | 0.752089i | 0.321798 | − | 0.946808i | \(-0.395713\pi\) |
0.980859 | + | 0.194719i | \(0.0623795\pi\) | |||||||
\(608\) | 0.166577 | + | 3.85840i | 0.00675557 | + | 0.156479i | ||||
\(609\) | −11.5330 | − | 1.70994i | −0.467340 | − | 0.0692902i | ||||
\(610\) | −5.98243 | − | 9.57597i | −0.242222 | − | 0.387720i | ||||
\(611\) | 27.8361 | − | 11.5301i | 1.12613 | − | 0.466458i | ||||
\(612\) | 10.2839 | − | 6.45652i | 0.415701 | − | 0.260989i | ||||
\(613\) | −9.25181 | + | 22.3358i | −0.373677 | + | 0.902136i | 0.619444 | + | 0.785041i | \(0.287358\pi\) |
−0.993121 | + | 0.117095i | \(0.962642\pi\) | |||||||
\(614\) | −10.2859 | − | 7.33837i | −0.415105 | − | 0.296153i | ||||
\(615\) | −2.02728 | + | 4.67727i | −0.0817480 | + | 0.188606i | ||||
\(616\) | −1.80999 | − | 1.10989i | −0.0729264 | − | 0.0447187i | ||||
\(617\) | −2.19546 | + | 8.19357i | −0.0883859 | + | 0.329861i | −0.995934 | − | 0.0900878i | \(-0.971285\pi\) |
0.907548 | + | 0.419949i | \(0.137952\pi\) | |||||||
\(618\) | −9.44046 | + | 0.174819i | −0.379751 | + | 0.00703226i | ||||
\(619\) | 8.13657 | + | 10.6038i | 0.327036 | + | 0.426202i | 0.927715 | − | 0.373288i | \(-0.121770\pi\) |
−0.600679 | + | 0.799490i | \(0.705103\pi\) | |||||||
\(620\) | −16.5559 | + | 3.36497i | −0.664900 | + | 0.135140i | ||||
\(621\) | 35.4282 | − | 18.2072i | 1.42168 | − | 0.730628i | ||||
\(622\) | 6.94783 | + | 22.7332i | 0.278582 | + | 0.911520i | ||||
\(623\) | −6.68834 | − | 3.86151i | −0.267963 | − | 0.154708i | ||||
\(624\) | 5.55012 | − | 20.0731i | 0.222183 | − | 0.803568i | ||||
\(625\) | −25.8572 | + | 14.9286i | −1.03429 | + | 0.597146i | ||||
\(626\) | 25.0160 | + | 23.3323i | 0.999840 | + | 0.932548i | ||||
\(627\) | −0.974387 | − | 1.00667i | −0.0389133 | − | 0.0402024i | ||||
\(628\) | 15.1725 | − | 7.56102i | 0.605447 | − | 0.301718i | ||||
\(629\) | 2.20279 | − | 5.31800i | 0.0878309 | − | 0.212043i | ||||
\(630\) | −3.04693 | − | 7.30994i | −0.121393 | − | 0.291235i | ||||
\(631\) | 26.8014 | + | 26.8014i | 1.06695 | + | 1.06695i | 0.997592 | + | 0.0693528i | \(0.0220934\pi\) |
0.0693528 | + | 0.997592i | \(0.477907\pi\) | |||||||
\(632\) | 3.21917 | − | 7.22469i | 0.128052 | − | 0.287383i | ||||
\(633\) | 27.0354 | − | 20.0538i | 1.07456 | − | 0.797065i | ||||
\(634\) | −8.18776 | − | 17.9710i | −0.325177 | − | 0.713721i | ||||
\(635\) | 39.1303 | − | 5.15160i | 1.55284 | − | 0.204435i | ||||
\(636\) | 33.3957 | − | 15.9685i | 1.32423 | − | 0.633193i | ||||
\(637\) | −2.58904 | + | 19.6657i | −0.102582 | + | 0.779185i | ||||
\(638\) | −15.7171 | − | 8.35890i | −0.622246 | − | 0.330932i | ||||
\(639\) | 6.31390 | + | 27.0619i | 0.249774 | + | 1.07055i | ||||
\(640\) | −20.7678 | + | 26.0721i | −0.820919 | + | 1.03059i | ||||
\(641\) | −41.6687 | − | 24.0574i | −1.64581 | − | 0.950211i | −0.978710 | − | 0.205246i | \(-0.934200\pi\) |
−0.667104 | − | 0.744965i | \(-0.732466\pi\) | |||||||
\(642\) | 43.9790 | + | 4.96344i | 1.73571 | + | 0.195891i | ||||
\(643\) | 5.98708 | − | 7.80251i | 0.236107 | − | 0.307701i | −0.660239 | − | 0.751056i | \(-0.729545\pi\) |
0.896346 | + | 0.443354i | \(0.146212\pi\) | |||||||
\(644\) | −8.72989 | − | 4.25996i | −0.344006 | − | 0.167866i | ||||
\(645\) | −5.17923 | − | 9.31806i | −0.203932 | − | 0.366898i | ||||
\(646\) | −1.59064 | − | 1.13482i | −0.0625827 | − | 0.0446490i | ||||
\(647\) | 0.196754 | + | 0.196754i | 0.00773518 | + | 0.00773518i | 0.710964 | − | 0.703229i | \(-0.248259\pi\) |
−0.703229 | + | 0.710964i | \(0.748259\pi\) | |||||||
\(648\) | 13.5833 | + | 21.5289i | 0.533602 | + | 0.845736i | ||||
\(649\) | 8.38893 | − | 8.38893i | 0.329294 | − | 0.329294i | ||||
\(650\) | −15.4305 | + | 2.58063i | −0.605234 | + | 0.101221i | ||||
\(651\) | 2.75010 | − | 1.52858i | 0.107785 | − | 0.0599098i | ||||
\(652\) | −26.8341 | − | 1.64649i | −1.05090 | − | 0.0644817i | ||||
\(653\) | 11.4274 | + | 8.76859i | 0.447191 | + | 0.343141i | 0.807679 | − | 0.589622i | \(-0.200723\pi\) |
−0.360489 | + | 0.932764i | \(0.617390\pi\) | |||||||
\(654\) | −20.7455 | − | 26.0238i | −0.811213 | − | 1.01761i | ||||
\(655\) | −15.8785 | + | 27.5024i | −0.620425 | + | 1.07461i | ||||
\(656\) | −3.67883 | + | 1.55988i | −0.143634 | + | 0.0609030i | ||||
\(657\) | −40.3596 | + | 9.41645i | −1.57458 | + | 0.367371i | ||||
\(658\) | 8.58868 | − | 2.62491i | 0.334822 | − | 0.102330i | ||||
\(659\) | −10.5960 | − | 1.39499i | −0.412760 | − | 0.0543409i | −0.0787133 | − | 0.996897i | \(-0.525081\pi\) |
−0.334047 | + | 0.942556i | \(0.608414\pi\) | |||||||
\(660\) | −0.644498 | − | 12.0748i | −0.0250870 | − | 0.470009i | ||||
\(661\) | 3.49389 | + | 26.5388i | 0.135897 | + | 1.03224i | 0.914461 | + | 0.404673i | \(0.132615\pi\) |
−0.778565 | + | 0.627565i | \(0.784052\pi\) | |||||||
\(662\) | −9.63660 | + | 25.7666i | −0.374537 | + | 1.00145i | ||||
\(663\) | 6.27745 | + | 8.46293i | 0.243796 | + | 0.328673i | ||||
\(664\) | 40.9969 | + | 1.08554i | 1.59099 | + | 0.0421273i | ||||
\(665\) | −0.901124 | + | 0.901124i | −0.0349441 | + | 0.0349441i | ||||
\(666\) | 11.1589 | + | 4.59311i | 0.432397 | + | 0.177980i | ||||
\(667\) | −75.2451 | − | 31.1675i | −2.91350 | − | 1.20681i | ||||
\(668\) | 3.45585 | + | 3.00531i | 0.133711 | + | 0.116279i | ||||
\(669\) | −5.43481 | + | 5.26053i | −0.210122 | + | 0.203384i | ||||
\(670\) | 0.304102 | + | 8.73275i | 0.0117485 | + | 0.337375i | ||||
\(671\) | 1.60535 | + | 2.78055i | 0.0619739 | + | 0.107342i | ||||
\(672\) | 2.22077 | − | 5.79695i | 0.0856679 | − | 0.223622i | ||||
\(673\) | 15.2215 | − | 26.3645i | 0.586747 | − | 1.01628i | −0.407908 | − | 0.913023i | \(-0.633742\pi\) |
0.994655 | − | 0.103252i | \(-0.0329249\pi\) | |||||||
\(674\) | 1.93795 | + | 1.03067i | 0.0746471 | + | 0.0396999i | ||||
\(675\) | 10.3590 | − | 16.0737i | 0.398718 | − | 0.618676i | ||||
\(676\) | −7.78181 | − | 1.51420i | −0.299300 | − | 0.0582387i | ||||
\(677\) | −6.02806 | + | 4.62549i | −0.231677 | + | 0.177772i | −0.718076 | − | 0.695965i | \(-0.754977\pi\) |
0.486399 | + | 0.873737i | \(0.338310\pi\) | |||||||
\(678\) | −22.9282 | − | 22.0944i | −0.880551 | − | 0.848532i | ||||
\(679\) | 6.71830 | + | 1.80016i | 0.257825 | + | 0.0690840i | ||||
\(680\) | −3.93213 | − | 16.3996i | −0.150790 | − | 0.628897i | ||||
\(681\) | 19.3452 | + | 8.38487i | 0.741311 | + | 0.321309i | ||||
\(682\) | 4.73823 | − | 0.792432i | 0.181436 | − | 0.0303438i | ||||
\(683\) | 16.5877 | + | 6.87083i | 0.634709 | + | 0.262905i | 0.676752 | − | 0.736211i | \(-0.263387\pi\) |
−0.0420433 | + | 0.999116i | \(0.513387\pi\) | |||||||
\(684\) | 2.37162 | − | 3.33988i | 0.0906811 | − | 0.127703i | ||||
\(685\) | 8.53458 | + | 20.6043i | 0.326090 | + | 0.787250i | ||||
\(686\) | −2.74208 | + | 11.8720i | −0.104693 | + | 0.453274i | ||||
\(687\) | 7.46958 | − | 50.3799i | 0.284982 | − | 1.92211i | ||||
\(688\) | 2.09544 | − | 8.08946i | 0.0798880 | − | 0.308408i | ||||
\(689\) | 16.0610 | + | 27.8185i | 0.611876 | + | 1.05980i | ||||
\(690\) | −8.23527 | − | 54.7057i | −0.313511 | − | 2.08261i | ||||
\(691\) | 0.372785 | − | 2.83158i | 0.0141814 | − | 0.107718i | −0.982890 | − | 0.184193i | \(-0.941033\pi\) |
0.997072 | + | 0.0764742i | \(0.0243663\pi\) | |||||||
\(692\) | 1.40318 | + | 0.929139i | 0.0533409 | + | 0.0353206i | ||||
\(693\) | 0.793550 | + | 2.10753i | 0.0301445 | + | 0.0800583i | ||||
\(694\) | 8.67842 | + | 10.5299i | 0.329428 | + | 0.399708i | ||||
\(695\) | −3.88760 | − | 14.5087i | −0.147465 | − | 0.550348i | ||||
\(696\) | 15.6082 | − | 49.6531i | 0.591628 | − | 1.88210i | ||||
\(697\) | 0.523253 | − | 1.95281i | 0.0198196 | − | 0.0739678i | ||||
\(698\) | 11.4392 | − | 5.21179i | 0.432980 | − | 0.197269i | ||||
\(699\) | −9.45745 | + | 5.25670i | −0.357714 | + | 0.198827i | ||||
\(700\) | −4.65201 | + | 0.324389i | −0.175829 | + | 0.0122607i | ||||
\(701\) | −18.7603 | − | 45.2914i | −0.708567 | − | 1.71063i | −0.703552 | − | 0.710643i | \(-0.748404\pi\) |
−0.00501422 | − | 0.999987i | \(-0.501596\pi\) | |||||||
\(702\) | −17.7123 | + | 13.1994i | −0.668509 | + | 0.498179i | ||||
\(703\) | − | 1.94181i | − | 0.0732366i | ||||||
\(704\) | 6.15990 | − | 7.20378i | 0.232160 | − | 0.271503i | ||||
\(705\) | 40.0655 | + | 31.7937i | 1.50896 | + | 1.19742i | ||||
\(706\) | −0.266671 | − | 7.65786i | −0.0100363 | − | 0.288207i | ||||
\(707\) | 5.64061 | + | 4.32819i | 0.212137 | + | 0.162778i | ||||
\(708\) | 28.6056 | + | 19.6195i | 1.07506 | + | 0.737345i | ||||
\(709\) | 21.3812 | + | 27.8645i | 0.802987 | + | 1.04647i | 0.997843 | + | 0.0656416i | \(0.0209094\pi\) |
−0.194856 | + | 0.980832i | \(0.562424\pi\) | |||||||
\(710\) | 38.4164 | + | 3.70286i | 1.44174 | + | 0.138966i | ||||
\(711\) | −7.39809 | + | 3.95568i | −0.277450 | + | 0.148350i | ||||
\(712\) | 21.7051 | − | 26.7875i | 0.813432 | − | 1.00390i | ||||
\(713\) | 21.2301 | − | 5.68859i | 0.795074 | − | 0.213040i | ||||
\(714\) | 1.62049 | + | 2.69046i | 0.0606452 | + | 0.100688i | ||||
\(715\) | 10.4032 | − | 1.36960i | 0.389056 | − | 0.0512202i | ||||
\(716\) | −31.4468 | − | 1.92952i | −1.17522 | − | 0.0721097i | ||||
\(717\) | 0.287737 | + | 1.14837i | 0.0107457 | + | 0.0428868i | ||||
\(718\) | 5.29339 | − | 22.9180i | 0.197547 | − | 0.855292i | ||||
\(719\) | 25.3597i | 0.945758i | 0.881127 | + | 0.472879i | \(0.156785\pi\) | ||||
−0.881127 | + | 0.472879i | \(0.843215\pi\) | |||||||
\(720\) | 34.3616 | − | 8.31969i | 1.28058 | − | 0.310056i | ||||
\(721\) | − | 2.44226i | − | 0.0909545i | ||||||
\(722\) | 25.5385 | + | 5.89866i | 0.950446 | + | 0.219525i | ||||
\(723\) | −8.42985 | + | 8.15953i | −0.313509 | + | 0.303456i | ||||
\(724\) | −11.9983 | + | 10.6110i | −0.445913 | + | 0.394355i | ||||
\(725\) | −38.7646 | + | 5.10346i | −1.43968 | + | 0.189538i | ||||
\(726\) | −0.435211 | − | 23.5019i | −0.0161522 | − | 0.872238i | ||||
\(727\) | −12.4483 | + | 3.33550i | −0.461681 | + | 0.123707i | −0.482160 | − | 0.876083i | \(-0.660148\pi\) |
0.0204790 | + | 0.999790i | \(0.493481\pi\) | |||||||
\(728\) | 5.16458 | + | 1.53146i | 0.191412 | + | 0.0567598i | ||||
\(729\) | 2.63528 | − | 26.8711i | 0.0976030 | − | 0.995225i | ||||
\(730\) | −5.52239 | + | 57.2936i | −0.204393 | + | 2.12053i | ||||
\(731\) | 2.57379 | + | 3.35423i | 0.0951950 | + | 0.124060i | ||||
\(732\) | −7.13240 | + | 6.10356i | −0.263621 | + | 0.225594i | ||||
\(733\) | −20.5652 | − | 15.7803i | −0.759594 | − | 0.582857i | 0.154674 | − | 0.987965i | \(-0.450567\pi\) |
−0.914269 | + | 0.405108i | \(0.867234\pi\) | |||||||
\(734\) | −38.2610 | + | 1.33237i | −1.41224 | + | 0.0491786i | ||||
\(735\) | −31.3151 | + | 12.3773i | −1.15507 | + | 0.456544i | ||||
\(736\) | 24.8902 | − | 35.5100i | 0.917465 | − | 1.30892i | ||||
\(737\) | − | 2.48472i | − | 0.0915259i | ||||||
\(738\) | 4.09628 | + | 1.08784i | 0.150786 | + | 0.0400440i | ||||
\(739\) | −17.9759 | − | 43.3976i | −0.661253 | − | 1.59641i | −0.795841 | − | 0.605505i | \(-0.792971\pi\) |
0.134588 | − | 0.990902i | \(-0.457029\pi\) | |||||||
\(740\) | 10.9977 | − | 12.6465i | 0.404284 | − | 0.464893i | ||||
\(741\) | 3.04899 | + | 1.82721i | 0.112007 | + | 0.0671241i | ||||
\(742\) | 3.96973 | + | 8.71303i | 0.145733 | + | 0.319866i | ||||
\(743\) | 9.09414 | − | 33.9398i | 0.333632 | − | 1.24513i | −0.571713 | − | 0.820454i | \(-0.693721\pi\) |
0.905345 | − | 0.424677i | \(-0.139612\pi\) | |||||||
\(744\) | 4.81549 | + | 13.1948i | 0.176544 | + | 0.483745i | ||||
\(745\) | 10.0309 | + | 37.4360i | 0.367505 | + | 1.37155i | ||||
\(746\) | 2.02462 | − | 1.66864i | 0.0741266 | − | 0.0610931i | ||||
\(747\) | −33.6291 | − | 27.5908i | −1.23042 | − | 1.00950i | ||||
\(748\) | 0.955157 | + | 4.69944i | 0.0349240 | + | 0.171828i | ||||
\(749\) | −1.49422 | + | 11.3498i | −0.0545977 | + | 0.414711i | ||||
\(750\) | 5.93741 | + | 7.44808i | 0.216803 | + | 0.271966i | ||||
\(751\) | 4.92929 | + | 8.53777i | 0.179872 | + | 0.311548i | 0.941837 | − | 0.336071i | \(-0.109098\pi\) |
−0.761964 | + | 0.647619i | \(0.775765\pi\) | |||||||
\(752\) | 5.56430 | + | 39.7044i | 0.202909 | + | 1.44787i | ||||
\(753\) | −22.4260 | − | 17.7960i | −0.817250 | − | 0.648523i | ||||
\(754\) | 44.0071 | + | 10.1644i | 1.60265 | + | 0.370164i | ||||
\(755\) | −19.9383 | − | 48.1353i | −0.725628 | − | 1.75182i | ||||
\(756\) | −5.63270 | + | 3.40971i | −0.204859 | + | 0.124010i | ||||
\(757\) | −0.819058 | − | 0.339265i | −0.0297692 | − | 0.0123308i | 0.367749 | − | 0.929925i | \(-0.380128\pi\) |
−0.397518 | + | 0.917594i | \(0.630128\pi\) | |||||||
\(758\) | 6.92890 | + | 41.4303i | 0.251669 | + | 1.50482i | ||||
\(759\) | 1.79896 | + | 15.6280i | 0.0652980 | + | 0.567261i | ||||
\(760\) | −3.34263 | − | 4.60357i | −0.121250 | − | 0.166989i | ||||
\(761\) | −43.1448 | − | 11.5606i | −1.56400 | − | 0.419072i | −0.630070 | − | 0.776538i | \(-0.716974\pi\) |
−0.933926 | + | 0.357466i | \(0.883641\pi\) | |||||||
\(762\) | −9.07822 | − | 31.5330i | −0.328869 | − | 1.14232i | ||||
\(763\) | 6.82945 | − | 5.24042i | 0.247243 | − | 0.189716i | ||||
\(764\) | −28.4855 | − | 42.2493i | −1.03057 | − | 1.52852i | ||||
\(765\) | −7.38001 | + | 16.2940i | −0.266825 | + | 0.589112i | ||||
\(766\) | 16.1682 | − | 30.4008i | 0.584181 | − | 1.09843i | ||||
\(767\) | −15.0501 | + | 26.0676i | −0.543429 | + | 0.941246i | ||||
\(768\) | 24.0053 | + | 13.8473i | 0.866215 | + | 0.499671i | ||||
\(769\) | −3.42270 | − | 5.92829i | −0.123426 | − | 0.213780i | 0.797691 | − | 0.603067i | \(-0.206055\pi\) |
−0.921117 | + | 0.389287i | \(0.872721\pi\) | |||||||
\(770\) | 3.12577 | − | 0.108849i | 0.112645 | − | 0.00392265i | ||||
\(771\) | −5.86362 | − | 23.4020i | −0.211173 | − | 0.842802i | ||||
\(772\) | 33.2999 | − | 2.32203i | 1.19849 | − | 0.0835718i | ||||
\(773\) | −20.0574 | − | 8.30804i | −0.721414 | − | 0.298820i | −0.00839566 | − | 0.999965i | \(-0.502672\pi\) |
−0.713018 | + | 0.701145i | \(0.752672\pi\) | |||||||
\(774\) | −7.01976 | + | 5.41129i | −0.252320 | + | 0.194505i | ||||
\(775\) | 7.46102 | − | 7.46102i | 0.268008 | − | 0.268008i | ||||
\(776\) | −12.6375 | + | 28.3618i | −0.453658 | + | 1.01813i | ||||
\(777\) | −1.24128 | + | 2.86382i | −0.0445306 | + | 0.102739i | ||||
\(778\) | −4.69263 | − | 1.75502i | −0.168239 | − | 0.0629207i | ||||
\(779\) | −0.0890196 | − | 0.676171i | −0.00318946 | − | 0.0242263i | ||||
\(780\) | 9.50857 | + | 29.1686i | 0.340461 | + | 1.04440i | ||||
\(781\) | −10.8807 | − | 1.43247i | −0.389343 | − | 0.0512579i | ||||
\(782\) | 6.41262 | + | 20.9820i | 0.229315 | + | 0.750316i | ||||
\(783\) | −45.3874 | + | 31.4271i | −1.62201 | + | 1.12311i | ||||
\(784\) | −24.4685 | − | 9.89703i | −0.873876 | − | 0.353465i | ||||
\(785\) | −12.4861 | + | 21.6265i | −0.445647 | + | 0.771884i | ||||
\(786\) | 24.5760 | + | 9.65061i | 0.876598 | + | 0.344226i | ||||
\(787\) | 31.1280 | + | 23.8854i | 1.10959 | + | 0.851422i | 0.989953 | − | 0.141395i | \(-0.0451587\pi\) |
0.119642 | + | 0.992817i | \(0.461825\pi\) | |||||||
\(788\) | −21.5001 | + | 19.0143i | −0.765911 | + | 0.677355i | ||||
\(789\) | −0.233141 | + | 14.3079i | −0.00830005 | + | 0.509376i | ||||
\(790\) | 1.92192 | + | 11.4918i | 0.0683788 | + | 0.408861i | ||||
\(791\) | 5.82371 | − | 5.82371i | 0.207067 | − | 0.207067i | ||||
\(792\) | −9.84739 | + | 2.02428i | −0.349912 | + | 0.0719296i | ||||
\(793\) | −5.76015 | − | 5.76015i | −0.204549 | − | 0.204549i | ||||
\(794\) | −8.57437 | + | 12.0183i | −0.304293 | + | 0.426515i | ||||
\(795\) | −28.0308 | + | 46.7740i | −0.994151 | + | 1.65890i | ||||
\(796\) | −5.03093 | − | 14.6202i | −0.178317 | − | 0.518198i | ||||
\(797\) | 25.1860 | − | 32.8230i | 0.892133 | − | 1.16265i | −0.0938131 | − | 0.995590i | \(-0.529906\pi\) |
0.985947 | − | 0.167061i | \(-0.0534277\pi\) | |||||||
\(798\) | 0.852377 | + | 0.629325i | 0.0301738 | + | 0.0222779i | ||||
\(799\) | −17.5670 | − | 10.1423i | −0.621475 | − | 0.358808i | ||||
\(800\) | 1.82452 | − | 20.7379i | 0.0645065 | − | 0.733195i | ||||
\(801\) | −35.6122 | + | 8.30881i | −1.25830 | + | 0.293577i | ||||
\(802\) | 23.7627 | − | 44.6806i | 0.839089 | − | 1.57773i | ||||
\(803\) | 2.13637 | − | 16.2273i | 0.0753908 | − | 0.572650i | ||||
\(804\) | 7.14191 | − | 1.33081i | 0.251876 | − | 0.0469339i | ||||
\(805\) | 14.1870 | − | 1.86776i | 0.500027 | − | 0.0658298i | ||||
\(806\) | −11.0917 | + | 5.05346i | −0.390688 | + | 0.178001i | ||||
\(807\) | −3.99639 | − | 34.7177i | −0.140679 | − | 1.22212i | ||||
\(808\) | −23.0296 | + | 21.8415i | −0.810180 | + | 0.768382i | ||||
\(809\) | −5.55838 | − | 5.55838i | −0.195422 | − | 0.195422i | 0.602612 | − | 0.798034i | \(-0.294127\pi\) |
−0.798034 | + | 0.602612i | \(0.794127\pi\) | |||||||
\(810\) | −34.1930 | − | 15.3954i | −1.20142 | − | 0.540940i | ||||
\(811\) | 3.10476 | − | 7.49555i | 0.109023 | − | 0.263204i | −0.859947 | − | 0.510383i | \(-0.829504\pi\) |
0.968970 | + | 0.247179i | \(0.0795035\pi\) | |||||||
\(812\) | 12.7662 | + | 4.27427i | 0.448005 | + | 0.149998i | ||||
\(813\) | 6.08141 | − | 21.3016i | 0.213284 | − | 0.747081i | ||||
\(814\) | −3.25054 | + | 3.48509i | −0.113931 | + | 0.122152i | ||||
\(815\) | 34.2978 | − | 19.8018i | 1.20140 | − | 0.693629i | ||||
\(816\) | −12.9962 | + | 5.26243i | −0.454956 | + | 0.184222i | ||||
\(817\) | 1.23518 | + | 0.713129i | 0.0432133 | + | 0.0249492i | ||||
\(818\) | 18.7651 | − | 5.73508i | 0.656108 | − | 0.200522i | ||||
\(819\) | −3.32871 | − | 4.64384i | −0.116314 | − | 0.162269i | ||||
\(820\) | 3.24984 | − | 4.90790i | 0.113489 | − | 0.171391i | ||||
\(821\) | 18.2526 | + | 23.7872i | 0.637020 | + | 0.830180i | 0.994609 | − | 0.103699i | \(-0.0330678\pi\) |
−0.357589 | + | 0.933879i | \(0.616401\pi\) | |||||||
\(822\) | 15.8834 | − | 9.56668i | 0.553996 | − | 0.333676i | ||||
\(823\) | 0.0495592 | − | 0.184958i | 0.00172753 | − | 0.00644721i | −0.965057 | − | 0.262041i | \(-0.915604\pi\) |
0.966784 | + | 0.255594i | \(0.0822710\pi\) | |||||||
\(824\) | 10.7680 | + | 1.70872i | 0.375122 | + | 0.0595261i | ||||
\(825\) | 4.49919 | + | 6.06558i | 0.156642 | + | 0.211176i | ||||
\(826\) | −5.21084 | + | 7.30382i | −0.181308 | + | 0.254132i | ||||
\(827\) | −8.69011 | + | 20.9798i | −0.302185 | + | 0.729538i | 0.697729 | + | 0.716362i | \(0.254194\pi\) |
−0.999913 | + | 0.0131760i | \(0.995806\pi\) | |||||||
\(828\) | −43.9566 | + | 13.5411i | −1.52760 | + | 0.470586i | ||||
\(829\) | −26.8336 | + | 11.1148i | −0.931969 | + | 0.386034i | −0.796425 | − | 0.604737i | \(-0.793278\pi\) |
−0.135544 | + | 0.990771i | \(0.543278\pi\) | |||||||
\(830\) | −51.2370 | + | 32.0095i | −1.77846 | + | 1.11107i | ||||
\(831\) | −3.41337 | − | 8.63594i | −0.118408 | − | 0.299577i | ||||
\(832\) | −10.3657 | + | 21.6994i | −0.359365 | + | 0.752292i | ||||
\(833\) | 11.5650 | − | 6.67704i | 0.400703 | − | 0.231346i | ||||
\(834\) | −11.4471 | + | 4.99181i | −0.396380 | + | 0.172852i | ||||
\(835\) | −6.68883 | − | 0.880601i | −0.231477 | − | 0.0304745i | ||||
\(836\) | 0.904367 | + | 1.34134i | 0.0312782 | + | 0.0463913i | ||||
\(837\) | 4.55442 | − | 14.1849i | 0.157424 | − | 0.490301i | ||||
\(838\) | −2.62178 | + | 27.2004i | −0.0905678 | + | 0.939622i | ||||
\(839\) | 31.1153 | − | 8.33732i | 1.07422 | − | 0.287836i | 0.321994 | − | 0.946742i | \(-0.395647\pi\) |
0.752226 | + | 0.658905i | \(0.228980\pi\) | |||||||
\(840\) | 1.98702 | + | 8.92620i | 0.0685586 | + | 0.307983i | ||||
\(841\) | 81.0190 | + | 21.7090i | 2.79376 | + | 0.748586i | ||||
\(842\) | 3.91227 | − | 10.4607i | 0.134826 | − | 0.360500i | ||||
\(843\) | 7.27997 | + | 0.118624i | 0.250736 | + | 0.00408562i | ||||
\(844\) | −34.7881 | + | 17.3362i | −1.19746 | + | 0.596738i | ||||
\(845\) | 10.7894 | − | 4.46913i | 0.371168 | − | 0.153743i | ||||
\(846\) | 21.1803 | − | 36.8744i | 0.728194 | − | 1.26777i | ||||
\(847\) | 6.07998 | 0.208911 | ||||||||
\(848\) | −41.1936 | + | 11.4067i | −1.41459 | + | 0.391707i | ||||
\(849\) | −26.9681 | − | 3.99842i | −0.925541 | − | 0.137225i | ||||
\(850\) | 7.70248 | + | 7.18408i | 0.264193 | + | 0.246412i | ||||
\(851\) | −13.2732 | + | 17.2980i | −0.455000 | + | 0.592968i | ||||
\(852\) | −1.71026 | − | 32.0420i | −0.0585926 | − | 1.09774i | ||||
\(853\) | −36.3410 | + | 27.8854i | −1.24429 | + | 0.954778i | −0.999889 | − | 0.0148964i | \(-0.995258\pi\) |
−0.244401 | + | 0.969674i | \(0.578591\pi\) | |||||||
\(854\) | −1.54430 | − | 1.87376i | −0.0528449 | − | 0.0641187i | ||||
\(855\) | −0.196597 | + | 6.03101i | −0.00672349 | + | 0.206256i | ||||
\(856\) | −48.9962 | − | 14.5289i | −1.67466 | − | 0.496588i | ||||
\(857\) | −10.7153 | − | 39.9899i | −0.366026 | − | 1.36603i | −0.866024 | − | 0.500002i | \(-0.833333\pi\) |
0.499998 | − | 0.866027i | \(-0.333334\pi\) | |||||||
\(858\) | −2.41353 | − | 8.38335i | −0.0823966 | − | 0.286203i | ||||
\(859\) | 4.60379 | + | 34.9692i | 0.157079 | + | 1.19314i | 0.870417 | + | 0.492315i | \(0.163849\pi\) |
−0.713338 | + | 0.700820i | \(0.752818\pi\) | |||||||
\(860\) | 4.00545 | + | 11.6400i | 0.136585 | + | 0.396922i | ||||
\(861\) | −0.300946 | + | 1.05414i | −0.0102562 | + | 0.0359250i | ||||
\(862\) | 14.0694 | − | 8.78960i | 0.479204 | − | 0.299375i | ||||
\(863\) | −12.7564 | −0.434232 | −0.217116 | − | 0.976146i | \(-0.569665\pi\) | ||||
−0.217116 | + | 0.976146i | \(0.569665\pi\) | |||||||
\(864\) | −11.0927 | − | 27.2204i | −0.377380 | − | 0.926059i | ||||
\(865\) | −2.47911 | −0.0842924 | ||||||||
\(866\) | −7.16360 | + | 4.47534i | −0.243429 | + | 0.152078i | ||||
\(867\) | −6.13582 | + | 21.4922i | −0.208383 | + | 0.729914i | ||||
\(868\) | −3.43541 | + | 1.18216i | −0.116605 | + | 0.0401250i | ||||
\(869\) | −0.432455 | − | 3.28482i | −0.0146700 | − | 0.111430i | ||||
\(870\) | 21.2122 | + | 73.6802i | 0.719162 | + | 2.49799i | ||||
\(871\) | 1.63163 | + | 6.08934i | 0.0552858 | + | 0.206330i | ||||
\(872\) | 18.3271 | + | 33.7778i | 0.620633 | + | 1.14386i | ||||
\(873\) | 29.0426 | − | 15.5288i | 0.982942 | − | 0.525569i | ||||
\(874\) | 4.70728 | + | 5.71153i | 0.159226 | + | 0.193195i | ||||
\(875\) | −1.95460 | + | 1.49982i | −0.0660777 | + | 0.0507032i | ||||
\(876\) | 47.7869 | − | 2.55066i | 1.61457 | − | 0.0861787i | ||||
\(877\) | 6.60053 | − | 8.60198i | 0.222884 | − | 0.290468i | −0.668505 | − | 0.743708i | \(-0.733065\pi\) |
0.891389 | + | 0.453240i | \(0.149732\pi\) | |||||||
\(878\) | −9.60477 | − | 8.95835i | −0.324145 | − | 0.302330i | ||||
\(879\) | 10.9112 | + | 1.61776i | 0.368027 | + | 0.0545656i | ||||
\(880\) | −1.70701 | + | 13.8578i | −0.0575435 | + | 0.467147i | ||||
\(881\) | −13.1678 | −0.443635 | −0.221818 | − | 0.975088i | \(-0.571199\pi\) | ||||
−0.221818 | + | 0.975088i | \(0.571199\pi\) | |||||||
\(882\) | 14.0516 | + | 24.2136i | 0.473141 | + | 0.815313i | ||||
\(883\) | 11.8697 | − | 4.91661i | 0.399449 | − | 0.165457i | −0.173910 | − | 0.984762i | \(-0.555640\pi\) |
0.573359 | + | 0.819305i | \(0.305640\pi\) | |||||||
\(884\) | −5.42678 | − | 10.8898i | −0.182522 | − | 0.366262i | ||||
\(885\) | −51.0911 | − | 0.832506i | −1.71741 | − | 0.0279844i | ||||
\(886\) | 12.4370 | − | 33.2543i | 0.417828 | − | 1.11720i | ||||
\(887\) | 10.9054 | + | 2.92210i | 0.366168 | + | 0.0981144i | 0.437211 | − | 0.899359i | \(-0.355966\pi\) |
−0.0710433 | + | 0.997473i | \(0.522633\pi\) | |||||||
\(888\) | −11.7583 | − | 7.47652i | −0.394582 | − | 0.250896i | ||||
\(889\) | 8.19832 | − | 2.19673i | 0.274963 | − | 0.0736760i | ||||
\(890\) | −4.87280 | + | 50.5543i | −0.163337 | + | 1.69458i | ||||
\(891\) | 9.56478 | + | 4.71353i | 0.320432 | + | 0.157909i | ||||
\(892\) | 7.24165 | − | 4.88250i | 0.242469 | − | 0.163478i | ||||
\(893\) | −6.78434 | − | 0.893175i | −0.227029 | − | 0.0298890i | ||||
\(894\) | 29.5362 | − | 12.8801i | 0.987839 | − | 0.430773i | ||||
\(895\) | 40.1935 | − | 23.2058i | 1.34352 | − | 0.775683i | ||||
\(896\) | −3.69605 | + | 6.14175i | −0.123476 | + | 0.205182i | ||||
\(897\) | −14.6711 | − | 37.1185i | −0.489855 | − | 1.23935i | ||||
\(898\) | 13.9010 | − | 8.68444i | 0.463883 | − | 0.289803i | ||||
\(899\) | −28.1428 | + | 11.6571i | −0.938615 | + | 0.388787i | ||||
\(900\) | −15.0247 | + | 16.1809i | −0.500824 | + | 0.539362i | ||||
\(901\) | 8.27591 | − | 19.9798i | 0.275710 | − | 0.665624i | ||||
\(902\) | −0.972125 | + | 1.36259i | −0.0323682 | + | 0.0453692i | ||||
\(903\) | −1.36581 | − | 1.84131i | −0.0454513 | − | 0.0612751i | ||||
\(904\) | 21.6025 | + | 29.7515i | 0.718487 | + | 0.989521i | ||||
\(905\) | 6.10685 | − | 22.7911i | 0.202999 | − | 0.757601i | ||||
\(906\) | −37.1063 | + | 22.3494i | −1.23278 | + | 0.742511i | ||||
\(907\) | −30.4632 | − | 39.7004i | −1.01151 | − | 1.31823i | −0.947319 | − | 0.320293i | \(-0.896219\pi\) |
−0.0641952 | − | 0.997937i | \(-0.520448\pi\) | |||||||
\(908\) | −20.2991 | − | 13.4414i | −0.673650 | − | 0.446068i | ||||
\(909\) | 33.5026 | − | 3.30441i | 1.11121 | − | 0.109600i | ||||
\(910\) | −7.58890 | + | 2.31935i | −0.251569 | + | 0.0768857i | ||||
\(911\) | −46.6854 | − | 26.9538i | −1.54675 | − | 0.893019i | −0.998387 | − | 0.0567822i | \(-0.981916\pi\) |
−0.548368 | − | 0.836237i | \(-0.684751\pi\) | |||||||
\(912\) | −3.37109 | + | 3.31787i | −0.111628 | + | 0.109866i | ||||
\(913\) | 14.8776 | − | 8.58956i | 0.492375 | − | 0.284273i | ||||
\(914\) | −24.4582 | + | 26.2231i | −0.809005 | + | 0.867382i | ||||
\(915\) | 3.79628 | − | 13.2974i | 0.125501 | − | 0.439599i | ||||
\(916\) | −18.6714 | + | 55.7669i | −0.616922 | + | 1.84259i | ||||
\(917\) | −2.61346 | + | 6.30946i | −0.0863042 | + | 0.208357i | ||||
\(918\) | 14.3094 | + | 4.05081i | 0.472280 | + | 0.133697i | ||||
\(919\) | −14.1720 | − | 14.1720i | −0.467491 | − | 0.467491i | 0.433610 | − | 0.901101i | \(-0.357240\pi\) |
−0.901101 | + | 0.433610i | \(0.857240\pi\) | |||||||
\(920\) | −1.69088 | + | 63.8581i | −0.0557466 | + | 2.10534i | ||||
\(921\) | −1.76966 | − | 15.3735i | −0.0583124 | − | 0.506575i | ||||
\(922\) | −14.1052 | + | 6.42647i | −0.464531 | + | 0.211644i | ||||
\(923\) | 27.6062 | − | 3.63442i | 0.908669 | − | 0.119628i | ||||
\(924\) | −0.476345 | − | 2.55635i | −0.0156706 | − | 0.0840979i | ||||
\(925\) | −1.36625 | + | 10.3777i | −0.0449221 | + | 0.341217i | ||||
\(926\) | −0.783101 | + | 1.47245i | −0.0257343 | + | 0.0483878i | ||||
\(927\) | −7.90632 | − | 8.43915i | −0.259678 | − | 0.277178i | ||||
\(928\) | −27.7773 | + | 53.2962i | −0.911834 | + | 1.74953i | ||||
\(929\) | 8.11541 | + | 4.68544i | 0.266258 | + | 0.153724i | 0.627186 | − | 0.778870i | \(-0.284207\pi\) |
−0.360928 | + | 0.932594i | \(0.617540\pi\) | |||||||
\(930\) | −16.6459 | − | 12.2900i | −0.545841 | − | 0.403004i | ||||
\(931\) | 2.74242 | − | 3.57399i | 0.0898792 | − | 0.117133i | ||||
\(932\) | 11.8142 | − | 4.06537i | 0.386986 | − | 0.133165i | ||||
\(933\) | −14.9657 | + | 24.9727i | −0.489955 | + | 0.817570i | ||||
\(934\) | −3.92491 | + | 5.50139i | −0.128427 | + | 0.180011i | ||||
\(935\) | −4.99521 | − | 4.99521i | −0.163361 | − | 0.163361i | ||||
\(936\) | 22.8039 | − | 11.4274i | 0.745367 | − | 0.373516i | ||||
\(937\) | −18.9743 | + | 18.9743i | −0.619863 | + | 0.619863i | −0.945496 | − | 0.325633i | \(-0.894422\pi\) |
0.325633 | + | 0.945496i | \(0.394422\pi\) | |||||||
\(938\) | 0.309961 | + | 1.85336i | 0.0101206 | + | 0.0605144i | ||||
\(939\) | −0.682590 | + | 41.8907i | −0.0222755 | + | 1.36705i | ||||
\(940\) | −39.1259 | − | 44.2412i | −1.27615 | − | 1.44299i | ||||
\(941\) | −24.5774 | − | 18.8589i | −0.801202 | − | 0.614784i | 0.124852 | − | 0.992175i | \(-0.460154\pi\) |
−0.926054 | + | 0.377392i | \(0.876821\pi\) | |||||||
\(942\) | 19.3254 | + | 7.58875i | 0.629655 | + | 0.247255i | ||||
\(943\) | −3.82896 | + | 6.63196i | −0.124688 | + | 0.215966i | ||||
\(944\) | −28.5571 | − | 28.0849i | −0.929456 | − | 0.914087i | ||||
\(945\) | 4.14521 | − | 8.76902i | 0.134844 | − | 0.285256i | ||||
\(946\) | −1.02309 | − | 3.34756i | −0.0332637 | − | 0.108839i | ||||
\(947\) | −18.9501 | − | 2.49483i | −0.615795 | − | 0.0810710i | −0.183825 | − | 0.982959i | \(-0.558848\pi\) |
−0.431970 | + | 0.901888i | \(0.642181\pi\) | |||||||
\(948\) | 9.21003 | − | 3.00235i | 0.299128 | − | 0.0975119i | ||||
\(949\) | 5.42032 | + | 41.1714i | 0.175951 | + | 1.33648i | ||||
\(950\) | 3.32803 | + | 1.24467i | 0.107976 | + | 0.0403824i | ||||
\(951\) | 9.61868 | − | 22.1918i | 0.311907 | − | 0.719619i | ||||
\(952\) | −1.29869 | − | 3.38617i | −0.0420909 | − | 0.109746i | ||||
\(953\) | −35.7423 | + | 35.7423i | −1.15781 | + | 1.15781i | −0.172860 | + | 0.984946i | \(0.555301\pi\) |
−0.984946 | + | 0.172860i | \(0.944699\pi\) | |||||||
\(954\) | 41.9240 | + | 17.2564i | 1.35734 | + | 0.558697i | ||||
\(955\) | 69.3484 | + | 28.7250i | 2.24406 | + | 0.929521i | ||||
\(956\) | −0.0950923 | − | 1.36371i | −0.00307551 | − | 0.0441054i | ||||
\(957\) | −5.29903 | − | 21.1487i | −0.171293 | − | 0.683641i | ||||
\(958\) | 17.6181 | − | 0.613516i | 0.569214 | − | 0.0198218i | ||||
\(959\) | 2.39800 | + | 4.15346i | 0.0774355 | + | 0.134122i | ||||
\(960\) | −40.7463 | + | 2.51567i | −1.31508 | + | 0.0811929i | ||||
\(961\) | −11.3898 | + | 19.7276i | −0.367411 | + | 0.636375i | ||||
\(962\) | 5.67759 | − | 10.6755i | 0.183053 | − | 0.344192i | ||||
\(963\) | 31.5793 | + | 44.0560i | 1.01763 | + | 1.41968i | ||||
\(964\) | 11.2324 | − | 7.57318i | 0.361772 | − | 0.243916i | ||||
\(965\) | −39.0119 | + | 29.9349i | −1.25584 | + | 0.963637i | ||||
\(966\) | −3.29139 | − | 11.4326i | −0.105899 | − | 0.367837i | ||||
\(967\) | 6.15960 | + | 1.65046i | 0.198079 | + | 0.0530752i | 0.356495 | − | 0.934297i | \(-0.383972\pi\) |
−0.158415 | + | 0.987373i | \(0.550638\pi\) | |||||||
\(968\) | −4.25384 | + | 26.8069i | −0.136724 | + | 0.861607i | ||||
\(969\) | −0.273665 | − | 2.37740i | −0.00879138 | − | 0.0763731i | ||||
\(970\) | −7.54485 | − | 45.1132i | −0.242250 | − | 1.44850i | ||||
\(971\) | −31.0937 | − | 12.8795i | −0.997846 | − | 0.413321i | −0.176839 | − | 0.984240i | \(-0.556587\pi\) |
−0.821007 | + | 0.570919i | \(0.806587\pi\) | |||||||
\(972\) | −8.42538 | + | 30.0169i | −0.270244 | + | 0.962792i | ||||
\(973\) | −1.23612 | − | 2.98427i | −0.0396283 | − | 0.0956712i | ||||
\(974\) | 35.6520 | + | 8.23457i | 1.14236 | + | 0.263853i | ||||
\(975\) | −15.0093 | − | 11.9105i | −0.480682 | − | 0.381442i | ||||
\(976\) | 9.34195 | − | 5.49792i | 0.299029 | − | 0.175984i | ||||
\(977\) | −20.9015 | − | 36.2025i | −0.668698 | − | 1.15822i | −0.978268 | − | 0.207343i | \(-0.933519\pi\) |
0.309570 | − | 0.950877i | \(-0.399815\pi\) | |||||||
\(978\) | −20.5247 | − | 25.7469i | −0.656308 | − | 0.823295i | ||||
\(979\) | 1.88507 | − | 14.3185i | 0.0602471 | − | 0.457622i | ||||
\(980\) | 38.1025 | − | 7.74431i | 1.21714 | − | 0.247383i | ||||
\(981\) | 6.63413 | − | 40.2171i | 0.211812 | − | 1.28403i | ||||
\(982\) | 32.9215 | − | 27.1330i | 1.05057 | − | 0.865848i | ||||
\(983\) | 2.98722 | + | 11.1485i | 0.0952777 | + | 0.355581i | 0.997061 | − | 0.0766065i | \(-0.0244085\pi\) |
−0.901784 | + | 0.432188i | \(0.857742\pi\) | |||||||
\(984\) | −4.43719 | − | 2.06441i | −0.141453 | − | 0.0658111i | ||||
\(985\) | 10.9431 | − | 40.8402i | 0.348676 | − | 1.30128i | ||||
\(986\) | −12.6071 | − | 27.6709i | −0.401492 | − | 0.881222i | ||||
\(987\) | 9.43476 | + | 5.65409i | 0.300312 | + | 0.179972i | ||||
\(988\) | −3.09716 | − | 2.69338i | −0.0985338 | − | 0.0856879i | ||||
\(989\) | −6.12860 | − | 14.7957i | −0.194878 | − | 0.470477i | ||||
\(990\) | 10.4486 | − | 10.4952i | 0.332079 | − | 0.333559i | ||||
\(991\) | − | 5.21640i | − | 0.165704i | −0.996562 | − | 0.0828521i | \(-0.973597\pi\) | ||
0.996562 | − | 0.0828521i | \(-0.0264029\pi\) | |||||||
\(992\) | −2.80861 | − | 15.9740i | −0.0891735 | − | 0.507174i | ||||
\(993\) | −31.3336 | + | 12.3846i | −0.994342 | + | 0.393015i | ||||
\(994\) | 8.29466 | − | 0.288846i | 0.263091 | − | 0.00916164i | ||||
\(995\) | 18.0698 | + | 13.8654i | 0.572850 | + | 0.439563i | ||||
\(996\) | 32.6576 | + | 38.1625i | 1.03480 | + | 1.20922i | ||||
\(997\) | −13.4127 | − | 17.4798i | −0.424784 | − | 0.553590i | 0.531109 | − | 0.847303i | \(-0.321775\pi\) |
−0.955893 | + | 0.293714i | \(0.905109\pi\) | |||||||
\(998\) | 0.526350 | − | 5.46078i | 0.0166613 | − | 0.172858i | ||||
\(999\) | 4.98186 | + | 13.9142i | 0.157619 | + | 0.440227i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 288.2.bf.a.11.15 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.32 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.45 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.2 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.2 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.45 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.32 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.15 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.15 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.15 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.2 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.2 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.45 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.45 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.32 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.32 | 368 | 3.2 | odd | 2 |