Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(163,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.163");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 487.5 | ||
Root | \(1.19343 + 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.487 |
Dual form | 567.2.e.f.163.5 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19343 | + | 2.06709i | 0.843886 | + | 1.46165i | 0.886585 | + | 0.462565i | \(0.153071\pi\) |
−0.0426999 | + | 0.999088i | \(0.513596\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.84857 | + | 3.20182i | −0.924286 | + | 1.60091i | ||||
\(5\) | 1.46043 | + | 2.52954i | 0.653125 | + | 1.13125i | 0.982360 | + | 0.186998i | \(0.0598759\pi\) |
−0.329235 | + | 0.944248i | \(0.606791\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.21886 | + | 1.44106i | −0.838652 | + | 0.544668i | ||||
\(8\) | −4.05086 | −1.43219 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.48586 | + | 6.03769i | −1.10233 | + | 1.90929i | ||||
\(11\) | 0.676857 | − | 1.17235i | 0.204080 | − | 0.353477i | −0.745759 | − | 0.666216i | \(-0.767913\pi\) |
0.949839 | + | 0.312738i | \(0.101246\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.46600 | 0.406596 | 0.203298 | − | 0.979117i | \(-0.434834\pi\) | ||||
0.203298 | + | 0.979117i | \(0.434834\pi\) | |||||||
\(14\) | −5.62686 | − | 2.86678i | −1.50384 | − | 0.766180i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.13729 | − | 1.96984i | −0.284323 | − | 0.492461i | ||||
\(17\) | 1.65514 | − | 2.86678i | 0.401430 | − | 0.695297i | −0.592469 | − | 0.805593i | \(-0.701847\pi\) |
0.993899 | + | 0.110297i | \(0.0351801\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.10329 | − | 1.91096i | −0.253113 | − | 0.438404i | 0.711268 | − | 0.702921i | \(-0.248121\pi\) |
−0.964381 | + | 0.264516i | \(0.914788\pi\) | |||||||
\(20\) | −10.7989 | −2.41470 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.23114 | 0.688881 | ||||||||
\(23\) | −1.31415 | − | 2.27617i | −0.274019 | − | 0.474614i | 0.695868 | − | 0.718169i | \(-0.255020\pi\) |
−0.969887 | + | 0.243555i | \(0.921686\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.76573 | + | 3.05833i | −0.353146 | + | 0.611666i | ||||
\(26\) | 1.74958 | + | 3.03036i | 0.343121 | + | 0.594302i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.512277 | − | 9.76830i | −0.0968112 | − | 1.84603i | ||||
\(29\) | −1.04344 | −0.193762 | −0.0968810 | − | 0.995296i | \(-0.530887\pi\) | ||||
−0.0968810 | + | 0.995296i | \(0.530887\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.63729 | + | 2.83587i | −0.294066 | + | 0.509337i | −0.974767 | − | 0.223224i | \(-0.928342\pi\) |
0.680701 | + | 0.732561i | \(0.261675\pi\) | |||||||
\(32\) | −1.33629 | + | 2.31453i | −0.236226 | + | 0.409155i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 7.90119 | 1.35504 | ||||||||
\(35\) | −6.88572 | − | 3.50815i | −1.16390 | − | 0.592985i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.43773 | + | 9.41842i | 0.893957 | + | 1.54838i | 0.835090 | + | 0.550113i | \(0.185415\pi\) |
0.0588664 | + | 0.998266i | \(0.481251\pi\) | |||||||
\(38\) | 2.63342 | − | 4.56121i | 0.427197 | − | 0.739926i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.91601 | − | 10.2468i | −0.935403 | − | 1.62017i | ||||
\(41\) | 1.80858 | 0.282452 | 0.141226 | − | 0.989977i | \(-0.454896\pi\) | ||||
0.141226 | + | 0.989977i | \(0.454896\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.34257 | 0.662236 | 0.331118 | − | 0.943589i | \(-0.392574\pi\) | ||||
0.331118 | + | 0.943589i | \(0.392574\pi\) | |||||||
\(44\) | 2.50244 | + | 4.33435i | 0.377257 | + | 0.653428i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.13670 | − | 5.43292i | 0.462481 | − | 0.801041i | ||||
\(47\) | −1.98957 | − | 3.44604i | −0.290209 | − | 0.502656i | 0.683650 | − | 0.729810i | \(-0.260391\pi\) |
−0.973859 | + | 0.227154i | \(0.927058\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.84671 | − | 6.39502i | 0.406673 | − | 0.913574i | ||||
\(50\) | −8.42913 | −1.19206 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.71001 | + | 4.69388i | −0.375811 | + | 0.650924i | ||||
\(53\) | −3.22743 | + | 5.59008i | −0.443322 | + | 0.767856i | −0.997934 | − | 0.0642533i | \(-0.979533\pi\) |
0.554612 | + | 0.832109i | \(0.312867\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.95402 | 0.533160 | ||||||||
\(56\) | 8.98830 | − | 5.83752i | 1.20111 | − | 0.780071i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.24528 | − | 2.15688i | −0.163513 | − | 0.283213i | ||||
\(59\) | 6.10700 | − | 10.5776i | 0.795064 | − | 1.37709i | −0.127735 | − | 0.991808i | \(-0.540771\pi\) |
0.922799 | − | 0.385283i | \(-0.125896\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.279867 | − | 0.484744i | −0.0358333 | − | 0.0620651i | 0.847553 | − | 0.530711i | \(-0.178075\pi\) |
−0.883386 | + | 0.468646i | \(0.844742\pi\) | |||||||
\(62\) | −7.81600 | −0.992632 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.9283 | −1.36604 | ||||||||
\(65\) | 2.14100 | + | 3.70832i | 0.265558 | + | 0.459960i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.40588 | + | 11.0953i | −0.782603 | + | 1.35551i | 0.147817 | + | 0.989015i | \(0.452775\pi\) |
−0.930420 | + | 0.366494i | \(0.880558\pi\) | |||||||
\(68\) | 6.11928 | + | 10.5989i | 0.742072 | + | 1.28531i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.966003 | − | 18.4201i | −0.115459 | − | 2.20163i | ||||
\(71\) | 12.9177 | 1.53305 | 0.766525 | − | 0.642214i | \(-0.221984\pi\) | ||||
0.766525 | + | 0.642214i | \(0.221984\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.22772 | − | 9.05467i | 0.611858 | − | 1.05977i | −0.379069 | − | 0.925368i | \(-0.623756\pi\) |
0.990927 | − | 0.134401i | \(-0.0429109\pi\) | |||||||
\(74\) | −12.9791 | + | 22.4805i | −1.50879 | + | 2.61331i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.15807 | 0.935794 | ||||||||
\(77\) | 0.187571 | + | 3.57668i | 0.0213757 | + | 0.407600i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.383838 | − | 0.664827i | −0.0431852 | − | 0.0747989i | 0.843625 | − | 0.536933i | \(-0.180417\pi\) |
−0.886810 | + | 0.462134i | \(0.847084\pi\) | |||||||
\(80\) | 3.32187 | − | 5.75365i | 0.371397 | − | 0.643278i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.15842 | + | 3.73849i | 0.238358 | + | 0.412847i | ||||
\(83\) | 1.96741 | 0.215952 | 0.107976 | − | 0.994154i | \(-0.465563\pi\) | ||||
0.107976 | + | 0.994154i | \(0.465563\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.66887 | 1.04874 | ||||||||
\(86\) | 5.18258 | + | 8.97649i | 0.558852 | + | 0.967960i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.74185 | + | 4.74903i | −0.292283 | + | 0.506248i | ||||
\(89\) | 3.20356 | + | 5.54872i | 0.339576 | + | 0.588163i | 0.984353 | − | 0.176208i | \(-0.0563830\pi\) |
−0.644777 | + | 0.764371i | \(0.723050\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.25286 | + | 2.11259i | −0.340992 | + | 0.221460i | ||||
\(92\) | 9.71719 | 1.01309 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.74884 | − | 8.22524i | 0.489806 | − | 0.848369i | ||||
\(95\) | 3.22257 | − | 5.58166i | 0.330629 | − | 0.572666i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.28285 | 0.840996 | 0.420498 | − | 0.907293i | \(-0.361855\pi\) | ||||
0.420498 | + | 0.907293i | \(0.361855\pi\) | |||||||
\(98\) | 16.6164 | − | 1.74763i | 1.67851 | − | 0.176537i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −6.52815 | − | 11.3071i | −0.652815 | − | 1.13071i | ||||
\(101\) | 8.11331 | − | 14.0527i | 0.807305 | − | 1.39829i | −0.107419 | − | 0.994214i | \(-0.534259\pi\) |
0.914724 | − | 0.404079i | \(-0.132408\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.11342 | + | 1.92849i | 0.109708 | + | 0.190020i | 0.915652 | − | 0.401972i | \(-0.131675\pi\) |
−0.805944 | + | 0.591992i | \(0.798342\pi\) | |||||||
\(104\) | −5.93857 | −0.582325 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −15.4069 | −1.49645 | ||||||||
\(107\) | −8.75403 | − | 15.1624i | −0.846284 | − | 1.46581i | −0.884501 | − | 0.466537i | \(-0.845501\pi\) |
0.0382175 | − | 0.999269i | \(-0.487832\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.79917 | + | 13.5086i | −0.747025 | + | 1.29388i | 0.202218 | + | 0.979341i | \(0.435185\pi\) |
−0.949243 | + | 0.314544i | \(0.898148\pi\) | |||||||
\(110\) | 4.71886 | + | 8.17331i | 0.449926 | + | 0.779295i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.36215 | + | 2.73192i | 0.506676 | + | 0.258142i | ||||
\(113\) | 1.68911 | 0.158898 | 0.0794491 | − | 0.996839i | \(-0.474684\pi\) | ||||
0.0794491 | + | 0.996839i | \(0.474684\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.83845 | − | 6.64839i | 0.357937 | − | 0.619966i | ||||
\(116\) | 1.92887 | − | 3.34091i | 0.179092 | − | 0.310196i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 29.1532 | 2.68377 | ||||||||
\(119\) | 0.458672 | + | 8.74614i | 0.0420464 | + | 0.801758i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.58373 | + | 7.93925i | 0.416703 | + | 0.721750i | ||||
\(122\) | 0.668005 | − | 1.15702i | 0.0604784 | − | 0.104752i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.05330 | − | 10.4846i | −0.543602 | − | 0.941546i | ||||
\(125\) | 4.28942 | 0.383657 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.96918 | −0.352208 | −0.176104 | − | 0.984372i | \(-0.556350\pi\) | ||||
−0.176104 | + | 0.984372i | \(0.556350\pi\) | |||||||
\(128\) | −10.3696 | − | 17.9607i | −0.916552 | − | 1.58751i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.11028 | + | 8.85127i | −0.448202 | + | 0.776308i | ||||
\(131\) | −2.66432 | − | 4.61473i | −0.232782 | − | 0.403191i | 0.725844 | − | 0.687860i | \(-0.241450\pi\) |
−0.958626 | + | 0.284669i | \(0.908116\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.20186 | + | 2.65025i | 0.451058 | + | 0.229806i | ||||
\(134\) | −30.5800 | −2.64171 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.70473 | + | 11.6129i | −0.574925 | + | 0.995800i | ||||
\(137\) | 3.74772 | − | 6.49124i | 0.320189 | − | 0.554584i | −0.660338 | − | 0.750969i | \(-0.729587\pi\) |
0.980527 | + | 0.196385i | \(0.0629202\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −14.0657 | −1.19304 | −0.596518 | − | 0.802600i | \(-0.703450\pi\) | ||||
−0.596518 | + | 0.802600i | \(0.703450\pi\) | |||||||
\(140\) | 23.9612 | − | 15.5618i | 2.02509 | − | 1.31521i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 15.4164 | + | 26.7021i | 1.29372 | + | 2.24079i | ||||
\(143\) | 0.992275 | − | 1.71867i | 0.0829782 | − | 0.143722i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.52388 | − | 2.63943i | −0.126551 | − | 0.219193i | ||||
\(146\) | 24.9557 | 2.06535 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −40.2081 | −3.30509 | ||||||||
\(149\) | −1.08986 | − | 1.88769i | −0.0892846 | − | 0.154645i | 0.817924 | − | 0.575326i | \(-0.195125\pi\) |
−0.907209 | + | 0.420680i | \(0.861791\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.01387 | + | 12.1484i | −0.570781 | + | 0.988621i | 0.425705 | + | 0.904862i | \(0.360026\pi\) |
−0.996486 | + | 0.0837595i | \(0.973307\pi\) | |||||||
\(152\) | 4.46929 | + | 7.74103i | 0.362507 | + | 0.627880i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.16946 | + | 4.65626i | −0.577731 | + | 0.375212i | ||||
\(155\) | −9.56461 | −0.768248 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.48312 | + | 2.56883i | −0.118365 | + | 0.205015i | −0.919120 | − | 0.393978i | \(-0.871099\pi\) |
0.800755 | + | 0.598993i | \(0.204432\pi\) | |||||||
\(158\) | 0.916172 | − | 1.58686i | 0.0728867 | − | 0.126243i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.80628 | −0.617140 | ||||||||
\(161\) | 6.19601 | + | 3.15675i | 0.488314 | + | 0.248787i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.194278 | − | 0.336499i | −0.0152170 | − | 0.0263566i | 0.858317 | − | 0.513120i | \(-0.171511\pi\) |
−0.873534 | + | 0.486764i | \(0.838177\pi\) | |||||||
\(164\) | −3.34329 | + | 5.79074i | −0.261067 | + | 0.452181i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.34798 | + | 4.06682i | 0.182239 | + | 0.315646i | ||||
\(167\) | −7.29778 | −0.564719 | −0.282360 | − | 0.959309i | \(-0.591117\pi\) | ||||
−0.282360 | + | 0.959309i | \(0.591117\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.8508 | −0.834680 | ||||||||
\(170\) | 11.5392 | + | 19.9864i | 0.885013 | + | 1.53289i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.02756 | + | 13.9041i | −0.612096 | + | 1.06018i | ||||
\(173\) | 2.02754 | + | 3.51181i | 0.154151 | + | 0.266998i | 0.932750 | − | 0.360525i | \(-0.117402\pi\) |
−0.778598 | + | 0.627522i | \(0.784069\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.489319 | − | 9.33054i | −0.0369891 | − | 0.705322i | ||||
\(176\) | −3.07913 | −0.232098 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.64647 | + | 13.2441i | −0.573127 | + | 0.992685i | ||||
\(179\) | 5.29243 | − | 9.16675i | 0.395575 | − | 0.685155i | −0.597600 | − | 0.801795i | \(-0.703879\pi\) |
0.993174 | + | 0.116639i | \(0.0372121\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.6312 | −1.45917 | −0.729586 | − | 0.683889i | \(-0.760287\pi\) | ||||
−0.729586 | + | 0.683889i | \(0.760287\pi\) | |||||||
\(182\) | −8.24900 | − | 4.20271i | −0.611456 | − | 0.311526i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.32343 | + | 9.22045i | 0.392448 | + | 0.679740i | ||||
\(185\) | −15.8829 | + | 27.5099i | −1.16773 | + | 2.02257i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.24058 | − | 3.88081i | −0.163848 | − | 0.283793i | ||||
\(188\) | 14.7115 | 1.07294 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.3837 | 1.11605 | ||||||||
\(191\) | −4.14357 | − | 7.17688i | −0.299818 | − | 0.519301i | 0.676276 | − | 0.736648i | \(-0.263593\pi\) |
−0.976094 | + | 0.217348i | \(0.930259\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.39242 | − | 16.2682i | 0.676082 | − | 1.17101i | −0.300070 | − | 0.953917i | \(-0.597010\pi\) |
0.976152 | − | 0.217090i | \(-0.0696566\pi\) | |||||||
\(194\) | 9.88504 | + | 17.1214i | 0.709705 | + | 1.22924i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 15.2133 | + | 20.9363i | 1.08667 | + | 1.49545i | ||||
\(197\) | 5.99634 | 0.427222 | 0.213611 | − | 0.976919i | \(-0.431478\pi\) | ||||
0.213611 | + | 0.976919i | \(0.431478\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.20434 | − | 12.4783i | 0.510702 | − | 0.884562i | −0.489221 | − | 0.872160i | \(-0.662719\pi\) |
0.999923 | − | 0.0124022i | \(-0.00394785\pi\) | |||||||
\(200\) | 7.15272 | − | 12.3889i | 0.505773 | − | 0.876025i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 38.7308 | 2.72509 | ||||||||
\(203\) | 2.31525 | − | 1.50366i | 0.162499 | − | 0.105536i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.64131 | + | 4.57488i | 0.184477 | + | 0.319523i | ||||
\(206\) | −2.65758 | + | 4.60306i | −0.185162 | + | 0.320710i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.66727 | − | 2.88780i | −0.115604 | − | 0.200233i | ||||
\(209\) | −2.98709 | −0.206621 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.8484 | 0.953360 | 0.476680 | − | 0.879077i | \(-0.341840\pi\) | ||||
0.476680 | + | 0.879077i | \(0.341840\pi\) | |||||||
\(212\) | −11.9323 | − | 20.6673i | −0.819512 | − | 1.41944i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.8947 | − | 36.1907i | 1.42833 | − | 2.47395i | ||||
\(215\) | 6.34204 | + | 10.9847i | 0.432523 | + | 0.749153i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.453726 | − | 8.65184i | −0.0308010 | − | 0.587325i | ||||
\(218\) | −37.2312 | −2.52161 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.30929 | + | 12.6601i | −0.492792 | + | 0.853541i | ||||
\(221\) | 2.42644 | − | 4.20271i | 0.163220 | − | 0.282705i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.67513 | −0.313070 | −0.156535 | − | 0.987672i | \(-0.550032\pi\) | ||||
−0.156535 | + | 0.987672i | \(0.550032\pi\) | |||||||
\(224\) | −0.370314 | − | 7.06130i | −0.0247427 | − | 0.471803i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.01584 | + | 3.49154i | 0.134092 | + | 0.232254i | ||||
\(227\) | −9.85631 | + | 17.0716i | −0.654187 | + | 1.13308i | 0.327910 | + | 0.944709i | \(0.393656\pi\) |
−0.982097 | + | 0.188376i | \(0.939678\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.0364 | − | 24.3118i | −0.927552 | − | 1.60657i | −0.787404 | − | 0.616437i | \(-0.788575\pi\) |
−0.140148 | − | 0.990131i | \(-0.544758\pi\) | |||||||
\(230\) | 18.3238 | 1.20823 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.22683 | 0.277505 | ||||||||
\(233\) | −6.90113 | − | 11.9531i | −0.452108 | − | 0.783074i | 0.546409 | − | 0.837518i | \(-0.315994\pi\) |
−0.998517 | + | 0.0544448i | \(0.982661\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.81127 | − | 10.0654i | 0.379085 | − | 0.656595i | ||||
\(236\) | 22.5785 | + | 39.1070i | 1.46973 | + | 2.54565i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −17.5317 | + | 11.3861i | −1.13641 | + | 0.738049i | ||||
\(239\) | −11.0614 | −0.715501 | −0.357751 | − | 0.933817i | \(-0.616456\pi\) | ||||
−0.357751 | + | 0.933817i | \(0.616456\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.5849 | − | 20.0656i | 0.746247 | − | 1.29254i | −0.203362 | − | 0.979104i | \(-0.565187\pi\) |
0.949610 | − | 0.313435i | \(-0.101480\pi\) | |||||||
\(242\) | −10.9408 | + | 18.9499i | −0.703299 | + | 1.21815i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.06942 | 0.132481 | ||||||||
\(245\) | 20.3339 | − | 2.13861i | 1.29909 | − | 0.136631i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.61743 | − | 2.80147i | −0.102915 | − | 0.178253i | ||||
\(248\) | 6.63243 | − | 11.4877i | 0.421160 | − | 0.729470i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.11914 | + | 8.86660i | 0.323763 | + | 0.560773i | ||||
\(251\) | −7.78402 | −0.491323 | −0.245662 | − | 0.969356i | \(-0.579005\pi\) | ||||
−0.245662 | + | 0.969356i | \(0.579005\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.55796 | −0.223687 | ||||||||
\(254\) | −4.73696 | − | 8.20466i | −0.297223 | − | 0.514806i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.8226 | − | 23.9414i | 0.863912 | − | 1.49634i | ||||
\(257\) | −5.18798 | − | 8.98585i | −0.323618 | − | 0.560522i | 0.657614 | − | 0.753355i | \(-0.271566\pi\) |
−0.981232 | + | 0.192833i | \(0.938232\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −25.6381 | − | 13.0621i | −1.59307 | − | 0.811640i | ||||
\(260\) | −15.8312 | −0.981807 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.35937 | − | 11.0148i | 0.392883 | − | 0.680494i | ||||
\(263\) | 9.56654 | − | 16.5697i | 0.589898 | − | 1.02173i | −0.404347 | − | 0.914605i | \(-0.632501\pi\) |
0.994245 | − | 0.107128i | \(-0.0341653\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −18.8538 | −1.15818 | ||||||||
\(266\) | 0.729773 | + | 13.9156i | 0.0447453 | + | 0.853221i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −23.6835 | − | 41.0210i | −1.44670 | − | 2.50576i | ||||
\(269\) | −4.41840 | + | 7.65290i | −0.269395 | + | 0.466605i | −0.968706 | − | 0.248212i | \(-0.920157\pi\) |
0.699311 | + | 0.714818i | \(0.253490\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.16955 | − | 15.8821i | −0.557010 | − | 0.964770i | −0.997744 | − | 0.0671321i | \(-0.978615\pi\) |
0.440734 | − | 0.897638i | \(-0.354718\pi\) | |||||||
\(272\) | −7.52949 | −0.456542 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.8906 | 1.08081 | ||||||||
\(275\) | 2.39029 | + | 4.14011i | 0.144140 | + | 0.249658i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.55241 | + | 4.42091i | −0.153360 | + | 0.265627i | −0.932460 | − | 0.361272i | \(-0.882343\pi\) |
0.779101 | + | 0.626899i | \(0.215676\pi\) | |||||||
\(278\) | −16.7865 | − | 29.0750i | −1.00679 | − | 1.74381i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 27.8931 | + | 14.2110i | 1.66693 | + | 0.849270i | ||||
\(281\) | 1.70636 | 0.101793 | 0.0508964 | − | 0.998704i | \(-0.483792\pi\) | ||||
0.0508964 | + | 0.998704i | \(0.483792\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.24415 | − | 10.8152i | 0.371176 | − | 0.642896i | −0.618571 | − | 0.785729i | \(-0.712288\pi\) |
0.989747 | + | 0.142833i | \(0.0456213\pi\) | |||||||
\(284\) | −23.8793 | + | 41.3602i | −1.41698 | + | 2.45428i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.73686 | 0.280096 | ||||||||
\(287\) | −4.01299 | + | 2.60626i | −0.236879 | + | 0.153843i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.02104 | + | 5.23260i | 0.177708 | + | 0.307800i | ||||
\(290\) | 3.63729 | − | 6.29997i | 0.213589 | − | 0.369947i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 19.3276 | + | 33.4764i | 1.13106 | + | 1.95906i | ||||
\(293\) | 5.20405 | 0.304024 | 0.152012 | − | 0.988379i | \(-0.451425\pi\) | ||||
0.152012 | + | 0.988379i | \(0.451425\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 35.6755 | 2.07711 | ||||||||
\(296\) | −22.0275 | − | 38.1527i | −1.28032 | − | 2.21758i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.60135 | − | 4.50566i | 0.150692 | − | 0.261006i | ||||
\(299\) | −1.92654 | − | 3.33687i | −0.111415 | − | 0.192976i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.63558 | + | 6.25790i | −0.555386 | + | 0.360699i | ||||
\(302\) | −33.4824 | −1.92669 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.50953 | + | 4.34663i | −0.143931 | + | 0.249297i | ||||
\(305\) | 0.817453 | − | 1.41587i | 0.0468072 | − | 0.0810725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.00136 | 0.285442 | 0.142721 | − | 0.989763i | \(-0.454415\pi\) | ||||
0.142721 | + | 0.989763i | \(0.454415\pi\) | |||||||
\(308\) | −11.7986 | − | 6.01118i | −0.672289 | − | 0.342519i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −11.4147 | − | 19.7709i | −0.648313 | − | 1.12291i | ||||
\(311\) | 16.1984 | − | 28.0565i | 0.918528 | − | 1.59094i | 0.116876 | − | 0.993146i | \(-0.462712\pi\) |
0.801652 | − | 0.597791i | \(-0.203955\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.759535 | − | 1.31555i | −0.0429315 | − | 0.0743595i | 0.843761 | − | 0.536719i | \(-0.180336\pi\) |
−0.886693 | + | 0.462359i | \(0.847003\pi\) | |||||||
\(314\) | −7.08000 | −0.399548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.83821 | 0.159662 | ||||||||
\(317\) | 10.7544 | + | 18.6272i | 0.604029 | + | 1.04621i | 0.992204 | + | 0.124623i | \(0.0397723\pi\) |
−0.388175 | + | 0.921586i | \(0.626894\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.706261 | + | 1.22328i | −0.0395430 | + | 0.0684905i | ||||
\(320\) | −15.9600 | − | 27.6436i | −0.892193 | − | 1.54532i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.869243 | + | 16.5751i | 0.0484410 | + | 0.923693i | ||||
\(323\) | −7.30441 | −0.406428 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.58856 | + | 4.48352i | −0.143588 | + | 0.248701i | ||||
\(326\) | 0.463715 | − | 0.803178i | 0.0256828 | − | 0.0444839i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −7.32629 | −0.404527 | ||||||||
\(329\) | 9.38052 | + | 4.77920i | 0.517165 | + | 0.263486i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.73902 | − | 16.8685i | −0.535305 | − | 0.927175i | −0.999149 | − | 0.0412580i | \(-0.986863\pi\) |
0.463844 | − | 0.885917i | \(-0.346470\pi\) | |||||||
\(332\) | −3.63691 | + | 6.29931i | −0.199601 | + | 0.345719i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.70942 | − | 15.0852i | −0.476558 | − | 0.825423i | ||||
\(335\) | −37.4215 | −2.04455 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.69484 | −0.528112 | −0.264056 | − | 0.964507i | \(-0.585060\pi\) | ||||
−0.264056 | + | 0.964507i | \(0.585060\pi\) | |||||||
\(338\) | −12.9498 | − | 22.4296i | −0.704374 | − | 1.22001i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.8736 | + | 30.9580i | −0.969332 | + | 1.67893i | ||||
\(341\) | 2.21642 | + | 3.83896i | 0.120026 | + | 0.207891i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.89912 | + | 18.2919i | 0.156538 | + | 0.987672i | ||||
\(344\) | −17.5912 | −0.948451 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.83948 | + | 8.38222i | −0.260172 | + | 0.450631i | ||||
\(347\) | −1.01302 | + | 1.75460i | −0.0543817 | + | 0.0941919i | −0.891935 | − | 0.452164i | \(-0.850652\pi\) |
0.837553 | + | 0.546356i | \(0.183985\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.2915 | −0.872066 | −0.436033 | − | 0.899931i | \(-0.643617\pi\) | ||||
−0.436033 | + | 0.899931i | \(0.643617\pi\) | |||||||
\(350\) | 18.7031 | − | 12.1469i | 0.999722 | − | 0.649276i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.80896 | + | 3.13321i | 0.0964180 | + | 0.167001i | ||||
\(353\) | −8.53072 | + | 14.7756i | −0.454045 | + | 0.786428i | −0.998633 | − | 0.0522753i | \(-0.983353\pi\) |
0.544588 | + | 0.838704i | \(0.316686\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.8655 | + | 32.6759i | 1.00127 | + | 1.73426i | ||||
\(356\) | −23.6880 | −1.25546 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 25.2647 | 1.33528 | ||||||||
\(359\) | 1.48363 | + | 2.56972i | 0.0783030 | + | 0.135625i | 0.902518 | − | 0.430652i | \(-0.141717\pi\) |
−0.824215 | + | 0.566277i | \(0.808383\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.06549 | − | 12.2378i | 0.371868 | − | 0.644094i | ||||
\(362\) | −23.4285 | − | 40.5794i | −1.23137 | − | 2.13280i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.750999 | − | 14.3204i | −0.0393630 | − | 0.750590i | ||||
\(365\) | 30.5389 | 1.59848 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.07874 | − | 8.79664i | 0.265108 | − | 0.459181i | −0.702484 | − | 0.711700i | \(-0.747926\pi\) |
0.967592 | + | 0.252519i | \(0.0812590\pi\) | |||||||
\(368\) | −2.98914 | + | 5.17733i | −0.155819 | + | 0.269887i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −75.8207 | −3.94173 | ||||||||
\(371\) | −0.894387 | − | 17.0545i | −0.0464342 | − | 0.885427i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.7423 | + | 22.0703i | 0.659771 | + | 1.14276i | 0.980675 | + | 0.195645i | \(0.0626799\pi\) |
−0.320904 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(374\) | 5.34798 | − | 9.26297i | 0.276537 | − | 0.478977i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.05947 | + | 13.9594i | 0.415635 | + | 0.719902i | ||||
\(377\) | −1.52969 | −0.0787829 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.85497 | 0.506216 | 0.253108 | − | 0.967438i | \(-0.418547\pi\) | ||||
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(380\) | 11.9143 | + | 20.6362i | 0.611191 | + | 1.05861i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.89016 | − | 17.1303i | 0.506025 | − | 0.876460i | ||||
\(383\) | 13.6563 | + | 23.6535i | 0.697806 | + | 1.20864i | 0.969225 | + | 0.246175i | \(0.0791737\pi\) |
−0.271419 | + | 0.962461i | \(0.587493\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.77343 | + | 5.69797i | −0.447135 | + | 0.290395i | ||||
\(386\) | 44.8370 | 2.28214 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.3114 | + | 26.5202i | −0.777321 | + | 1.34636i | ||||
\(389\) | −2.09223 | + | 3.62385i | −0.106080 | + | 0.183736i | −0.914179 | − | 0.405311i | \(-0.867163\pi\) |
0.808099 | + | 0.589047i | \(0.200497\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.70038 | −0.439997 | ||||||||
\(392\) | −11.5316 | + | 25.9053i | −0.582435 | + | 1.30842i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.15624 | + | 12.3950i | 0.360526 | + | 0.624450i | ||||
\(395\) | 1.12114 | − | 1.94187i | 0.0564107 | − | 0.0977062i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.3354 | + | 26.5618i | 0.769664 | + | 1.33310i | 0.937745 | + | 0.347323i | \(0.112909\pi\) |
−0.168082 | + | 0.985773i | \(0.553757\pi\) | |||||||
\(398\) | 34.3916 | 1.72390 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.03259 | 0.401629 | ||||||||
\(401\) | 3.42402 | + | 5.93057i | 0.170987 | + | 0.296158i | 0.938765 | − | 0.344557i | \(-0.111971\pi\) |
−0.767778 | + | 0.640716i | \(0.778638\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.40027 | + | 4.15739i | −0.119566 | + | 0.207095i | ||||
\(404\) | 29.9961 | + | 51.9547i | 1.49236 | + | 2.58485i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 5.87130 | + | 2.99132i | 0.291388 | + | 0.148457i | ||||
\(407\) | 14.7223 | 0.729756 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.13490 | − | 15.8221i | 0.451692 | − | 0.782353i | −0.546799 | − | 0.837264i | \(-0.684154\pi\) |
0.998491 | + | 0.0549104i | \(0.0174873\pi\) | |||||||
\(410\) | −6.30445 | + | 10.9196i | −0.311355 | + | 0.539282i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.23291 | −0.405606 | ||||||||
\(413\) | 1.69237 | + | 32.2709i | 0.0832763 | + | 1.58795i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.87328 | + | 4.97666i | 0.141044 | + | 0.244295i | ||||
\(416\) | −1.95901 | + | 3.39311i | −0.0960485 | + | 0.166361i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.56490 | − | 6.17458i | −0.174365 | − | 0.302009i | ||||
\(419\) | −22.4619 | −1.09734 | −0.548669 | − | 0.836040i | \(-0.684865\pi\) | ||||
−0.548669 | + | 0.836040i | \(0.684865\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −20.8354 | −1.01546 | −0.507728 | − | 0.861517i | \(-0.669515\pi\) | ||||
−0.507728 | + | 0.861517i | \(0.669515\pi\) | |||||||
\(422\) | 16.5271 | + | 28.6258i | 0.804527 | + | 1.39348i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.0739 | − | 22.6446i | 0.634923 | − | 1.09972i | ||||
\(425\) | 5.84505 | + | 10.1239i | 0.283526 | + | 0.491082i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.31953 | + | 0.672276i | 0.0638565 | + | 0.0325337i | ||||
\(428\) | 64.7298 | 3.12883 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.1376 | + | 26.2191i | −0.730001 | + | 1.26440i | ||||
\(431\) | −10.1213 | + | 17.5307i | −0.487527 | + | 0.844422i | −0.999897 | − | 0.0143427i | \(-0.995434\pi\) |
0.512370 | + | 0.858765i | \(0.328768\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.6764 | −1.04170 | −0.520851 | − | 0.853648i | \(-0.674385\pi\) | ||||
−0.520851 | + | 0.853648i | \(0.674385\pi\) | |||||||
\(434\) | 17.3426 | − | 11.2633i | 0.832473 | − | 0.540655i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −28.8346 | − | 49.9431i | −1.38093 | − | 2.39184i | ||||
\(437\) | −2.89978 | + | 5.02257i | −0.138715 | + | 0.240262i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.7390 | + | 30.7249i | 0.846639 | + | 1.46642i | 0.884191 | + | 0.467126i | \(0.154711\pi\) |
−0.0375520 | + | 0.999295i | \(0.511956\pi\) | |||||||
\(440\) | −16.0172 | −0.763589 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.5832 | 0.550955 | ||||||||
\(443\) | 9.60313 | + | 16.6331i | 0.456258 | + | 0.790263i | 0.998760 | − | 0.0497923i | \(-0.0158559\pi\) |
−0.542501 | + | 0.840055i | \(0.682523\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.35716 | + | 16.2071i | −0.443572 | + | 0.768289i | ||||
\(446\) | −5.57946 | − | 9.66391i | −0.264195 | − | 0.457599i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 24.2484 | − | 15.7483i | 1.14563 | − | 0.744036i | ||||
\(449\) | −29.6082 | −1.39730 | −0.698648 | − | 0.715465i | \(-0.746215\pi\) | ||||
−0.698648 | + | 0.715465i | \(0.746215\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.22415 | − | 2.12029i | 0.0576429 | − | 0.0998405i | ||||
\(452\) | −3.12244 | + | 5.40823i | −0.146867 | + | 0.254382i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −47.0515 | −2.20823 | ||||||||
\(455\) | −10.0945 | − | 5.14295i | −0.473237 | − | 0.241105i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4.78098 | + | 8.28090i | 0.223645 | + | 0.387364i | 0.955912 | − | 0.293653i | \(-0.0948711\pi\) |
−0.732267 | + | 0.681017i | \(0.761538\pi\) | |||||||
\(458\) | 33.5031 | − | 58.0290i | 1.56550 | − | 2.71152i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.1913 | + | 24.5800i | 0.661673 | + | 1.14605i | ||||
\(461\) | −21.8374 | −1.01707 | −0.508536 | − | 0.861041i | \(-0.669813\pi\) | ||||
−0.508536 | + | 0.861041i | \(0.669813\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −26.1489 | −1.21524 | −0.607621 | − | 0.794227i | \(-0.707876\pi\) | ||||
−0.607621 | + | 0.794227i | \(0.707876\pi\) | |||||||
\(464\) | 1.18670 | + | 2.05542i | 0.0550909 | + | 0.0954203i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.4721 | − | 28.5305i | 0.763054 | − | 1.32165i | ||||
\(467\) | −17.4764 | − | 30.2699i | −0.808709 | − | 1.40073i | −0.913758 | − | 0.406258i | \(-0.866833\pi\) |
0.105049 | − | 0.994467i | \(-0.466500\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.77520 | − | 33.8502i | −0.0819711 | − | 1.56306i | ||||
\(470\) | 27.7415 | 1.27962 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −24.7386 | + | 42.8485i | −1.13869 | + | 1.97226i | ||||
\(473\) | 2.93930 | − | 5.09102i | 0.135149 | − | 0.234086i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.79247 | 0.357543 | ||||||||
\(476\) | −28.8515 | − | 14.6993i | −1.32240 | − | 0.673741i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.2010 | − | 22.8649i | −0.603801 | − | 1.04581i | ||||
\(479\) | 14.9054 | − | 25.8170i | 0.681047 | − | 1.17961i | −0.293615 | − | 0.955924i | \(-0.594858\pi\) |
0.974662 | − | 0.223684i | \(-0.0718083\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.97172 | + | 13.8074i | 0.363479 | + | 0.629565i | ||||
\(482\) | 55.3031 | 2.51899 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −33.8934 | −1.54061 | ||||||||
\(485\) | 12.0965 | + | 20.9518i | 0.549276 | + | 0.951374i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.2253 | + | 19.4428i | −0.508667 | + | 0.881037i | 0.491283 | + | 0.871000i | \(0.336528\pi\) |
−0.999950 | + | 0.0100365i | \(0.996805\pi\) | |||||||
\(488\) | 1.13370 | + | 1.96363i | 0.0513202 | + | 0.0888892i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 28.6879 | + | 39.4797i | 1.29599 | + | 1.78351i | ||||
\(491\) | −35.0444 | −1.58153 | −0.790767 | − | 0.612118i | \(-0.790318\pi\) | ||||
−0.790767 | + | 0.612118i | \(0.790318\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.72704 | + | 2.99132i | −0.0777819 | + | 0.134722i | ||||
\(494\) | 3.86060 | − | 6.68675i | 0.173696 | − | 0.300851i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.44830 | 0.334438 | ||||||||
\(497\) | −28.6626 | + | 18.6152i | −1.28570 | + | 0.835004i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.46760 | + | 7.73811i | 0.199997 | + | 0.346405i | 0.948527 | − | 0.316696i | \(-0.102573\pi\) |
−0.748530 | + | 0.663101i | \(0.769240\pi\) | |||||||
\(500\) | −7.92929 | + | 13.7339i | −0.354609 | + | 0.614200i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.28972 | − | 16.0903i | −0.414621 | − | 0.718144i | ||||
\(503\) | −12.6403 | −0.563603 | −0.281802 | − | 0.959473i | \(-0.590932\pi\) | ||||
−0.281802 | + | 0.959473i | \(0.590932\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 47.3958 | 2.10909 | ||||||||
\(506\) | −4.24620 | − | 7.35463i | −0.188766 | − | 0.326953i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.33732 | − | 12.7086i | 0.325541 | − | 0.563854i | ||||
\(509\) | 14.0555 | + | 24.3449i | 0.623000 | + | 1.07907i | 0.988924 | + | 0.148423i | \(0.0474196\pi\) |
−0.365924 | + | 0.930645i | \(0.619247\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.44871 | + | 27.6245i | 0.0640870 | + | 1.22204i | ||||
\(512\) | 24.5070 | 1.08307 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.3830 | − | 21.4480i | 0.546192 | − | 0.946033i | ||||
\(515\) | −3.25214 | + | 5.63287i | −0.143306 | + | 0.248214i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.38662 | −0.236903 | ||||||||
\(518\) | −3.59678 | − | 68.5849i | −0.158034 | − | 3.01345i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.67288 | − | 15.0219i | −0.380331 | − | 0.658753i | ||||
\(521\) | 4.23768 | − | 7.33988i | 0.185656 | − | 0.321566i | −0.758141 | − | 0.652090i | \(-0.773892\pi\) |
0.943797 | + | 0.330524i | \(0.107226\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.7236 | + | 28.9662i | 0.731273 | + | 1.26660i | 0.956339 | + | 0.292259i | \(0.0944069\pi\) |
−0.225066 | + | 0.974344i | \(0.572260\pi\) | |||||||
\(524\) | 19.7007 | 0.860630 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 45.6681 | 1.99123 | ||||||||
\(527\) | 5.41988 | + | 9.38751i | 0.236094 | + | 0.408926i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.04603 | − | 13.9361i | 0.349827 | − | 0.605919i | ||||
\(530\) | −22.5008 | − | 38.9725i | −0.977371 | − | 1.69286i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.1016 | + | 11.7562i | −0.784806 | + | 0.509698i | ||||
\(533\) | 2.65138 | 0.114844 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.5693 | − | 44.2874i | 1.10546 | − | 1.91471i | ||||
\(536\) | 25.9493 | − | 44.9456i | 1.12084 | − | 1.94135i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −21.0923 | −0.909354 | ||||||||
\(539\) | −5.57039 | − | 7.66586i | −0.239934 | − | 0.330192i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.12929 | − | 15.8124i | −0.392499 | − | 0.679828i | 0.600280 | − | 0.799790i | \(-0.295056\pi\) |
−0.992778 | + | 0.119962i | \(0.961723\pi\) | |||||||
\(542\) | 21.8865 | − | 37.9085i | 0.940106 | − | 1.62831i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 4.42350 | + | 7.66173i | 0.189656 | + | 0.328494i | ||||
\(545\) | −45.5606 | −1.95160 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.77199 | 0.246792 | 0.123396 | − | 0.992357i | \(-0.460621\pi\) | ||||
0.123396 | + | 0.992357i | \(0.460621\pi\) | |||||||
\(548\) | 13.8558 | + | 23.9990i | 0.591892 | + | 1.02519i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.70532 | + | 9.88190i | −0.243276 | + | 0.421366i | ||||
\(551\) | 1.15122 | + | 1.99397i | 0.0490437 | + | 0.0849461i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.80974 | + | 0.922028i | 0.0769579 | + | 0.0392086i | ||||
\(554\) | −12.1845 | −0.517672 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 26.0014 | − | 45.0358i | 1.10271 | − | 1.90994i | ||||
\(557\) | 16.6911 | − | 28.9098i | 0.707223 | − | 1.22495i | −0.258661 | − | 0.965968i | \(-0.583281\pi\) |
0.965883 | − | 0.258977i | \(-0.0833855\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.36623 | 0.269263 | ||||||||
\(560\) | 0.920558 | + | 17.5536i | 0.0389007 | + | 0.741774i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.03643 | + | 3.52720i | 0.0859015 | + | 0.148786i | ||||
\(563\) | −1.09566 | + | 1.89773i | −0.0461764 | + | 0.0799799i | −0.888190 | − | 0.459477i | \(-0.848037\pi\) |
0.842013 | + | 0.539457i | \(0.181370\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.46683 | + | 4.27268i | 0.103780 | + | 0.179753i | ||||
\(566\) | 29.8079 | 1.25292 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −52.3278 | −2.19563 | ||||||||
\(569\) | −9.49302 | − | 16.4424i | −0.397968 | − | 0.689301i | 0.595507 | − | 0.803350i | \(-0.296951\pi\) |
−0.993475 | + | 0.114049i | \(0.963618\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.8690 | − | 18.8257i | 0.454854 | − | 0.787831i | −0.543825 | − | 0.839198i | \(-0.683025\pi\) |
0.998680 | + | 0.0513674i | \(0.0163580\pi\) | |||||||
\(572\) | 3.66858 | + | 6.35417i | 0.153391 | + | 0.265681i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.1766 | − | 5.18480i | −0.424764 | − | 0.216409i | ||||
\(575\) | 9.28172 | 0.387074 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.4516 | + | 26.7629i | −0.643258 | + | 1.11416i | 0.341443 | + | 0.939903i | \(0.389084\pi\) |
−0.984701 | + | 0.174253i | \(0.944249\pi\) | |||||||
\(578\) | −7.21083 | + | 12.4895i | −0.299931 | + | 0.519496i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 11.2680 | 0.467877 | ||||||||
\(581\) | −4.36542 | + | 2.83516i | −0.181108 | + | 0.117622i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.36902 | + | 7.56737i | 0.180946 | + | 0.313408i | ||||
\(584\) | −21.1767 | + | 36.6792i | −0.876299 | + | 1.51780i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.21069 | + | 10.7572i | 0.256561 | + | 0.444377i | ||||
\(587\) | 18.3666 | 0.758072 | 0.379036 | − | 0.925382i | \(-0.376256\pi\) | ||||
0.379036 | + | 0.925382i | \(0.376256\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.22565 | 0.297728 | ||||||||
\(590\) | 42.5763 | + | 73.7444i | 1.75284 | + | 3.03601i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.3685 | − | 21.4230i | 0.508344 | − | 0.880478i | ||||
\(593\) | 13.8775 | + | 24.0365i | 0.569880 | + | 0.987061i | 0.996577 | + | 0.0826662i | \(0.0263435\pi\) |
−0.426698 | + | 0.904394i | \(0.640323\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −21.4539 | + | 13.9334i | −0.879524 | + | 0.571213i | ||||
\(596\) | 8.05871 | 0.330098 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.59841 | − | 7.96468i | 0.188043 | − | 0.325700i | ||||
\(599\) | −0.201412 | + | 0.348855i | −0.00822945 | + | 0.0142538i | −0.870111 | − | 0.492856i | \(-0.835953\pi\) |
0.861881 | + | 0.507110i | \(0.169286\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −24.7466 | −1.00943 | −0.504717 | − | 0.863285i | \(-0.668403\pi\) | ||||
−0.504717 | + | 0.863285i | \(0.668403\pi\) | |||||||
\(602\) | −24.4351 | − | 12.4492i | −0.995899 | − | 0.507392i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −25.9313 | − | 44.9143i | −1.05513 | − | 1.82754i | ||||
\(605\) | −13.3885 | + | 23.1895i | −0.544318 | + | 0.942787i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.0348 | − | 20.8449i | −0.488479 | − | 0.846070i | 0.511434 | − | 0.859323i | \(-0.329115\pi\) |
−0.999912 | + | 0.0132531i | \(0.995781\pi\) | |||||||
\(608\) | 5.89730 | 0.239167 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.90231 | 0.158000 | ||||||||
\(611\) | −2.91672 | − | 5.05190i | −0.117998 | − | 0.204378i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.1907 | − | 17.6509i | 0.411600 | − | 0.712912i | −0.583465 | − | 0.812138i | \(-0.698303\pi\) |
0.995065 | + | 0.0992261i | \(0.0316367\pi\) | |||||||
\(614\) | 5.96879 | + | 10.3382i | 0.240881 | + | 0.417218i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.759823 | − | 14.4886i | −0.0306141 | − | 0.583763i | ||||
\(617\) | 41.8629 | 1.68534 | 0.842669 | − | 0.538431i | \(-0.180983\pi\) | ||||
0.842669 | + | 0.538431i | \(0.180983\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.41095 | + | 12.8361i | −0.297871 | + | 0.515928i | −0.975649 | − | 0.219339i | \(-0.929610\pi\) |
0.677777 | + | 0.735267i | \(0.262943\pi\) | |||||||
\(620\) | 17.6809 | − | 30.6242i | 0.710081 | − | 1.22990i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 77.3270 | 3.10053 | ||||||||
\(623\) | −15.1043 | − | 7.69535i | −0.605140 | − | 0.308308i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.0930 | + | 26.1419i | 0.603722 | + | 1.04568i | ||||
\(626\) | 1.81291 | − | 3.14005i | 0.0724585 | − | 0.125502i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.48329 | − | 9.49734i | −0.218807 | − | 0.378985i | ||||
\(629\) | 36.0007 | 1.43544 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0294 | −0.837169 | −0.418585 | − | 0.908178i | \(-0.637474\pi\) | ||||
−0.418585 | + | 0.908178i | \(0.637474\pi\) | |||||||
\(632\) | 1.55487 | + | 2.69312i | 0.0618496 | + | 0.107127i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −25.6694 | + | 44.4607i | −1.01946 | + | 1.76576i | ||||
\(635\) | −5.79673 | − | 10.0402i | −0.230036 | − | 0.398434i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.17329 | − | 9.37511i | 0.165352 | − | 0.371456i | ||||
\(638\) | −3.37150 | −0.133479 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 30.2882 | − | 52.4607i | 1.19725 | − | 2.07369i | ||||
\(641\) | −5.96592 | + | 10.3333i | −0.235640 | + | 0.408140i | −0.959458 | − | 0.281850i | \(-0.909052\pi\) |
0.723819 | + | 0.689990i | \(0.242385\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 39.9355 | 1.57490 | 0.787452 | − | 0.616377i | \(-0.211400\pi\) | ||||
0.787452 | + | 0.616377i | \(0.211400\pi\) | |||||||
\(644\) | −21.5611 | + | 14.0030i | −0.849627 | + | 0.551796i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −8.71733 | − | 15.0989i | −0.342979 | − | 0.594057i | ||||
\(647\) | 0.494477 | − | 0.856459i | 0.0194399 | − | 0.0336709i | −0.856142 | − | 0.516741i | \(-0.827145\pi\) |
0.875582 | + | 0.483070i | \(0.160478\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.26714 | − | 14.3191i | −0.324514 | − | 0.562074i | ||||
\(650\) | −12.3571 | −0.484686 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.43654 | 0.0562594 | ||||||||
\(653\) | −11.3573 | − | 19.6715i | −0.444447 | − | 0.769804i | 0.553567 | − | 0.832805i | \(-0.313266\pi\) |
−0.998014 | + | 0.0630004i | \(0.979933\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.78211 | − | 13.4790i | 0.304072 | − | 0.526668i | ||||
\(656\) | −2.05688 | − | 3.56262i | −0.0803076 | − | 0.139097i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.31600 | + | 25.0940i | 0.0513031 | + | 0.978267i | ||||
\(659\) | 38.3885 | 1.49540 | 0.747702 | − | 0.664035i | \(-0.231157\pi\) | ||||
0.747702 | + | 0.664035i | \(0.231157\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.9629 | + | 29.3806i | −0.659780 | + | 1.14277i | 0.320892 | + | 0.947116i | \(0.396017\pi\) |
−0.980672 | + | 0.195657i | \(0.937316\pi\) | |||||||
\(662\) | 23.2458 | − | 40.2628i | 0.903472 | − | 1.56486i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.96972 | −0.309285 | ||||||||
\(665\) | 0.893040 | + | 17.0288i | 0.0346306 | + | 0.660350i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.37124 | + | 2.37505i | 0.0530944 | + | 0.0919623i | ||||
\(668\) | 13.4905 | − | 23.3662i | 0.521962 | − | 0.904064i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −44.6601 | − | 77.3535i | −1.72537 | − | 2.98843i | ||||
\(671\) | −0.757720 | −0.0292514 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 32.2060 | 1.24145 | 0.620725 | − | 0.784028i | \(-0.286838\pi\) | ||||
0.620725 | + | 0.784028i | \(0.286838\pi\) | |||||||
\(674\) | −11.5702 | − | 20.0401i | −0.445666 | − | 0.771916i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.0585 | − | 34.7424i | 0.771483 | − | 1.33625i | ||||
\(677\) | 18.9842 | + | 32.8816i | 0.729622 | + | 1.26374i | 0.957043 | + | 0.289946i | \(0.0936375\pi\) |
−0.227421 | + | 0.973797i | \(0.573029\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.3785 | + | 11.9361i | −0.705303 | + | 0.458064i | ||||
\(680\) | −39.1672 | −1.50199 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.29031 | + | 9.16309i | −0.202577 | + | 0.350873i | ||||
\(683\) | 7.59357 | − | 13.1525i | 0.290560 | − | 0.503265i | −0.683382 | − | 0.730061i | \(-0.739492\pi\) |
0.973942 | + | 0.226796i | \(0.0728251\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 21.8932 | 0.836495 | ||||||||
\(686\) | −34.3512 | + | 27.8230i | −1.31153 | + | 1.06229i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.93877 | − | 8.55420i | −0.188289 | − | 0.326126i | ||||
\(689\) | −4.73142 | + | 8.19507i | −0.180253 | + | 0.312207i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.34574 | − | 2.33089i | −0.0511943 | − | 0.0886711i | 0.839293 | − | 0.543680i | \(-0.182969\pi\) |
−0.890487 | + | 0.455009i | \(0.849636\pi\) | |||||||
\(692\) | −14.9922 | −0.569919 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.83589 | −0.183568 | ||||||||
\(695\) | −20.5420 | − | 35.5798i | −0.779203 | − | 1.34962i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.99344 | − | 5.18480i | 0.113385 | − | 0.196388i | ||||
\(698\) | −19.4429 | − | 33.6761i | −0.735924 | − | 1.27466i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 30.7792 | + | 15.6815i | 1.16335 | + | 0.592703i | ||||
\(701\) | −11.8515 | −0.447625 | −0.223813 | − | 0.974632i | \(-0.571850\pi\) | ||||
−0.223813 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.9988 | − | 20.7826i | 0.452544 | − | 0.783829i | ||||
\(704\) | −7.39689 | + | 12.8118i | −0.278781 | + | 0.482862i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −40.7234 | −1.53265 | ||||||||
\(707\) | 2.24836 | + | 42.8727i | 0.0845584 | + | 1.61239i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.5167 | + | 35.5359i | 0.770520 | + | 1.33458i | 0.937278 | + | 0.348582i | \(0.113337\pi\) |
−0.166759 | + | 0.985998i | \(0.553330\pi\) | |||||||
\(710\) | −45.0294 | + | 77.9931i | −1.68992 | + | 2.92703i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −12.9772 | − | 22.4771i | −0.486339 | − | 0.842364i | ||||
\(713\) | 8.60657 | 0.322318 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.79660 | 0.216781 | ||||||||
\(716\) | 19.5669 | + | 33.8908i | 0.731248 | + | 1.26656i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.54123 | + | 6.13359i | −0.132158 | + | 0.228904i | ||||
\(719\) | 10.4555 | + | 18.1094i | 0.389923 | + | 0.675366i | 0.992439 | − | 0.122741i | \(-0.0391685\pi\) |
−0.602516 | + | 0.798107i | \(0.705835\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.24958 | − | 2.67457i | −0.195505 | − | 0.0996060i | ||||
\(722\) | 33.7288 | 1.25526 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 36.2896 | − | 62.8554i | 1.34869 | − | 2.33600i | ||||
\(725\) | 1.84243 | − | 3.19119i | 0.0684263 | − | 0.118518i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.64330 | −0.0980347 | −0.0490173 | − | 0.998798i | \(-0.515609\pi\) | ||||
−0.0490173 | + | 0.998798i | \(0.515609\pi\) | |||||||
\(728\) | 13.1769 | − | 8.55782i | 0.488368 | − | 0.317174i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 36.4462 | + | 63.1267i | 1.34893 | + | 2.33642i | ||||
\(731\) | 7.18756 | − | 12.4492i | 0.265841 | − | 0.460451i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.07446 | − | 12.2533i | −0.261301 | − | 0.452587i | 0.705287 | − | 0.708922i | \(-0.250818\pi\) |
−0.966588 | + | 0.256335i | \(0.917485\pi\) | |||||||
\(734\) | 24.2446 | 0.894884 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.02436 | 0.258921 | ||||||||
\(737\) | 8.67174 | + | 15.0199i | 0.319428 | + | 0.553265i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.85905 | + | 13.6123i | −0.289100 | + | 0.500736i | −0.973595 | − | 0.228282i | \(-0.926689\pi\) |
0.684495 | + | 0.729017i | \(0.260023\pi\) | |||||||
\(740\) | −58.7212 | − | 101.708i | −2.15864 | − | 3.73887i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 34.1858 | − | 22.2022i | 1.25500 | − | 0.815070i | ||||
\(743\) | −21.0991 | −0.774051 | −0.387026 | − | 0.922069i | \(-0.626497\pi\) | ||||
−0.387026 | + | 0.922069i | \(0.626497\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.18333 | − | 5.51368i | 0.116628 | − | 0.202006i | ||||
\(746\) | −30.4142 | + | 52.6789i | −1.11354 | + | 1.92871i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 16.5675 | 0.605768 | ||||||||
\(749\) | 41.2739 | + | 21.0283i | 1.50812 | + | 0.768357i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.51848 | − | 11.2903i | −0.237863 | − | 0.411990i | 0.722238 | − | 0.691644i | \(-0.243113\pi\) |
−0.960101 | + | 0.279654i | \(0.909780\pi\) | |||||||
\(752\) | −4.52544 | + | 7.83829i | −0.165026 | + | 0.285833i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.82558 | − | 3.16200i | −0.0664838 | − | 0.115153i | ||||
\(755\) | −40.9732 | −1.49117 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.6856 | −0.461065 | −0.230532 | − | 0.973065i | \(-0.574047\pi\) | ||||
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(758\) | 11.7613 | + | 20.3711i | 0.427188 | + | 0.739912i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −13.0542 | + | 22.6105i | −0.473525 | + | 0.820169i | ||||
\(761\) | 3.02038 | + | 5.23146i | 0.109489 | + | 0.189640i | 0.915563 | − | 0.402174i | \(-0.131745\pi\) |
−0.806074 | + | 0.591814i | \(0.798412\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.16131 | − | 41.2127i | −0.0782446 | − | 1.49200i | ||||
\(764\) | 30.6388 | 1.10847 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −32.5959 | + | 56.4577i | −1.17774 | + | 2.03990i | ||||
\(767\) | 8.95288 | − | 15.5068i | 0.323270 | − | 0.559920i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.216258 | −0.00779848 | −0.00389924 | − | 0.999992i | \(-0.501241\pi\) | ||||
−0.00389924 | + | 0.999992i | \(0.501241\pi\) | |||||||
\(770\) | −22.2487 | − | 11.3353i | −0.801788 | − | 0.408496i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 34.7251 | + | 60.1457i | 1.24979 | + | 2.16469i | ||||
\(773\) | 18.8132 | − | 32.5854i | 0.676663 | − | 1.17202i | −0.299316 | − | 0.954154i | \(-0.596759\pi\) |
0.975980 | − | 0.217861i | \(-0.0699081\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.78202 | − | 10.0148i | −0.207696 | − | 0.359741i | ||||
\(776\) | −33.5527 | −1.20447 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.98776 | −0.358078 | ||||||||
\(779\) | −1.99539 | − | 3.45612i | −0.0714923 | − | 0.123828i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.74345 | − | 15.1441i | 0.312865 | − | 0.541898i | ||||
\(782\) | −10.3833 | − | 17.9845i | −0.371307 | − | 0.643123i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −15.8347 | + | 1.66541i | −0.565526 | + | 0.0594791i | ||||
\(785\) | −8.66396 | −0.309230 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.4067 | + | 26.6853i | −0.549191 | + | 0.951226i | 0.449139 | + | 0.893462i | \(0.351731\pi\) |
−0.998330 | + | 0.0577648i | \(0.981603\pi\) | |||||||
\(788\) | −11.0847 | + | 19.1992i | −0.394875 | + | 0.683943i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.35203 | 0.190417 | ||||||||
\(791\) | −3.74791 | + | 2.43410i | −0.133260 | + | 0.0865468i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.410286 | − | 0.710636i | −0.0145697 | − | 0.0252354i | ||||
\(794\) | −36.6037 | + | 63.3994i | −1.29902 | + | 2.24996i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 26.6355 | + | 46.1340i | 0.944070 | + | 1.63518i | ||||
\(797\) | 35.9583 | 1.27371 | 0.636855 | − | 0.770984i | \(-0.280235\pi\) | ||||
0.636855 | + | 0.770984i | \(0.280235\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.1720 | −0.465994 | ||||||||
\(800\) | −4.71907 | − | 8.17367i | −0.166844 | − | 0.288983i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.17268 | + | 14.1555i | −0.288587 | + | 0.499848i | ||||
\(803\) | −7.07684 | − | 12.2574i | −0.249736 | − | 0.432556i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.06371 | + | 20.2833i | 0.0374909 | + | 0.714892i | ||||
\(806\) | −11.4583 | −0.403600 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −32.8659 | + | 56.9254i | −1.15622 | + | 2.00263i | ||||
\(809\) | −19.4818 | + | 33.7435i | −0.684943 | + | 1.18636i | 0.288511 | + | 0.957477i | \(0.406840\pi\) |
−0.973455 | + | 0.228880i | \(0.926494\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.2811 | −0.993082 | −0.496541 | − | 0.868013i | \(-0.665397\pi\) | ||||
−0.496541 | + | 0.868013i | \(0.665397\pi\) | |||||||
\(812\) | 0.534530 | + | 10.1926i | 0.0187583 | + | 0.357692i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17.5701 | + | 30.4322i | 0.615830 | + | 1.06665i | ||||
\(815\) | 0.567459 | − | 0.982867i | 0.0198772 | − | 0.0344283i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.79113 | − | 8.29849i | −0.167621 | − | 0.290327i | ||||
\(818\) | 43.6076 | 1.52471 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.5306 | −0.682037 | ||||||||
\(821\) | −20.7917 | − | 36.0123i | −0.725635 | − | 1.25684i | −0.958712 | − | 0.284378i | \(-0.908213\pi\) |
0.233077 | − | 0.972458i | \(-0.425121\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.22999 | + | 7.32656i | −0.147448 | + | 0.255388i | −0.930284 | − | 0.366841i | \(-0.880439\pi\) |
0.782835 | + | 0.622229i | \(0.213773\pi\) | |||||||
\(824\) | −4.51029 | − | 7.81205i | −0.157123 | − | 0.272146i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −64.6870 | + | 42.0115i | −2.25075 | + | 1.46177i | ||||
\(827\) | 44.2823 | 1.53985 | 0.769923 | − | 0.638137i | \(-0.220294\pi\) | ||||
0.769923 | + | 0.638137i | \(0.220294\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.31637 | + | 14.4044i | −0.288839 | + | 0.500284i | −0.973533 | − | 0.228547i | \(-0.926603\pi\) |
0.684694 | + | 0.728831i | \(0.259936\pi\) | |||||||
\(830\) | −6.85813 | + | 11.8786i | −0.238049 | + | 0.412314i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −16.0209 | −0.555425 | ||||||||
\(833\) | −13.6214 | − | 18.7455i | −0.471954 | − | 0.649494i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.6579 | − | 18.4601i | −0.368832 | − | 0.638836i | ||||
\(836\) | 5.52185 | − | 9.56412i | 0.190977 | − | 0.330782i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −26.8068 | − | 46.4308i | −0.926027 | − | 1.60393i | ||||
\(839\) | −29.6012 | −1.02195 | −0.510974 | − | 0.859596i | \(-0.670715\pi\) | ||||
−0.510974 | + | 0.859596i | \(0.670715\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.9112 | −0.962456 | ||||||||
\(842\) | −24.8657 | − | 43.0687i | −0.856929 | − | 1.48424i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −25.5997 | + | 44.3400i | −0.881178 | + | 1.52624i | ||||
\(845\) | −15.8469 | − | 27.4477i | −0.545151 | − | 0.944228i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.6116 | − | 11.0107i | −0.742583 | − | 0.378332i | ||||
\(848\) | 14.6821 | 0.504186 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.9514 | + | 24.1645i | −0.478528 | + | 0.828834i | ||||
\(851\) | 14.2920 | − | 24.7544i | 0.489922 | − | 0.848570i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.1238 | 1.03142 | 0.515710 | − | 0.856763i | \(-0.327528\pi\) | ||||
0.515710 | + | 0.856763i | \(0.327528\pi\) | |||||||
\(854\) | 0.185118 | + | 3.52990i | 0.00633460 | + | 0.120791i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 35.4613 | + | 61.4208i | 1.21204 | + | 2.09932i | ||||
\(857\) | −18.5447 | + | 32.1204i | −0.633475 | + | 1.09721i | 0.353361 | + | 0.935487i | \(0.385039\pi\) |
−0.986836 | + | 0.161724i | \(0.948295\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.89166 | + | 3.27646i | 0.0645427 | + | 0.111791i | 0.896491 | − | 0.443062i | \(-0.146108\pi\) |
−0.831948 | + | 0.554853i | \(0.812774\pi\) | |||||||
\(860\) | −46.8949 | −1.59910 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −48.3166 | −1.64567 | ||||||||
\(863\) | 0.213559 | + | 0.369895i | 0.00726963 | + | 0.0125914i | 0.869637 | − | 0.493691i | \(-0.164353\pi\) |
−0.862368 | + | 0.506282i | \(0.831019\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.92218 | + | 10.2575i | −0.201360 | + | 0.348766i | ||||
\(866\) | −25.8694 | − | 44.8071i | −0.879077 | − | 1.52261i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 28.5404 | + | 14.5408i | 0.968723 | + | 0.493547i | ||||
\(869\) | −1.03922 | −0.0352530 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.39105 | + | 16.2658i | −0.318203 | + | 0.551145i | ||||
\(872\) | 31.5933 | − | 54.7212i | 1.06988 | − | 1.85309i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −13.8428 | −0.468240 | ||||||||
\(875\) | −9.51763 | + | 6.18129i | −0.321755 | + | 0.208966i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.63038 | − | 9.75210i | −0.190124 | − | 0.329305i | 0.755167 | − | 0.655532i | \(-0.227556\pi\) |
−0.945291 | + | 0.326228i | \(0.894222\pi\) | |||||||
\(878\) | −42.3408 | + | 73.3364i | −1.42893 | + | 2.47498i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.49687 | − | 7.78881i | −0.151589 | − | 0.262561i | ||||
\(881\) | −35.4810 | −1.19538 | −0.597692 | − | 0.801726i | \(-0.703916\pi\) | ||||
−0.597692 | + | 0.801726i | \(0.703916\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.30092 | −0.178390 | −0.0891952 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891952 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(884\) | 8.97088 | + | 15.5380i | 0.301723 | + | 0.522600i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −22.9214 | + | 39.7010i | −0.770060 | + | 1.33378i | ||||
\(887\) | −28.7832 | − | 49.8540i | −0.966446 | − | 1.67393i | −0.705679 | − | 0.708532i | \(-0.749358\pi\) |
−0.260767 | − | 0.965402i | \(-0.583975\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.80708 | − | 5.71982i | 0.295380 | − | 0.191837i | ||||
\(890\) | −44.6686 | −1.49730 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.64231 | − | 14.9689i | 0.289366 | − | 0.501197i | ||||
\(893\) | −4.39016 | + | 7.60398i | −0.146911 | + | 0.254458i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 30.9169 | 1.03344 | ||||||||
\(896\) | 48.8911 | + | 24.9091i | 1.63334 | + | 0.832155i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −35.3354 | − | 61.2027i | −1.17916 | − | 2.04236i | ||||
\(899\) | 1.70842 | − | 2.95906i | 0.0569788 | − | 0.0986903i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.6837 | + | 18.5047i | 0.355925 | + | 0.616480i | ||||
\(902\) | 5.84377 | 0.194576 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.84235 | −0.227573 | ||||||||
\(905\) | −28.6700 | − | 49.6579i | −0.953023 | − | 1.65068i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.4486 | + | 18.0975i | −0.346939 | + | 0.600917i | −0.985704 | − | 0.168485i | \(-0.946112\pi\) |
0.638765 | + | 0.769402i | \(0.279446\pi\) | |||||||
\(908\) | −36.4402 | − | 63.1163i | −1.20931 | − | 2.09459i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.41616 | − | 27.0040i | −0.0469454 | − | 0.895173i | ||||
\(911\) | −22.7639 | −0.754201 | −0.377101 | − | 0.926172i | \(-0.623079\pi\) | ||||
−0.377101 | + | 0.926172i | \(0.623079\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.33166 | − | 2.30650i | 0.0440715 | − | 0.0763340i | ||||
\(914\) | −11.4116 | + | 19.7654i | −0.377461 | + | 0.653782i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 103.789 | 3.42929 | ||||||||
\(917\) | 12.5618 | + | 6.40002i | 0.414828 | + | 0.211347i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.6515 | + | 32.3054i | 0.615257 | + | 1.06566i | 0.990339 | + | 0.138664i | \(0.0442809\pi\) |
−0.375083 | + | 0.926991i | \(0.622386\pi\) | |||||||
\(920\) | −15.5490 | + | 26.9317i | −0.512636 | + | 0.887911i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −26.0616 | − | 45.1399i | −0.858292 | − | 1.48660i | ||||
\(923\) | 18.9374 | 0.623332 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −38.4062 | −1.26279 | ||||||||
\(926\) | −31.2070 | − | 54.0521i | −1.02553 | − | 1.77626i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.39434 | − | 2.41508i | 0.0457716 | − | 0.0792787i | ||||
\(929\) | −2.83363 | − | 4.90799i | −0.0929683 | − | 0.161026i | 0.815791 | − | 0.578347i | \(-0.196302\pi\) |
−0.908759 | + | 0.417322i | \(0.862969\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.3614 | + | 1.61563i | −0.503449 | + | 0.0529501i | ||||
\(932\) | 51.0289 | 1.67151 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 41.7138 | − | 72.2503i | 1.36492 | − | 2.36410i | ||||
\(935\) | 6.54444 | − | 11.3353i | 0.214026 | − | 0.370704i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.64754 | −0.249834 | −0.124917 | − | 0.992167i | \(-0.539866\pi\) | ||||
−0.124917 | + | 0.992167i | \(0.539866\pi\) | |||||||
\(938\) | 67.8529 | − | 44.0675i | 2.21547 | − | 1.43886i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.4851 | + | 37.2133i | 0.700766 | + | 1.21376i | ||||
\(941\) | −10.2276 | + | 17.7147i | −0.333410 | + | 0.577483i | −0.983178 | − | 0.182650i | \(-0.941533\pi\) |
0.649768 | + | 0.760132i | \(0.274866\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.37674 | − | 4.11663i | −0.0773973 | − | 0.134056i | ||||
\(944\) | −27.7817 | −0.904219 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.0315 | 0.456202 | ||||||||
\(947\) | 2.38343 | + | 4.12823i | 0.0774512 | + | 0.134149i | 0.902150 | − | 0.431423i | \(-0.141988\pi\) |
−0.824698 | + | 0.565573i | \(0.808655\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.66385 | − | 13.2742i | 0.248779 | − | 0.430898i | ||||
\(950\) | 9.29980 | + | 16.1077i | 0.301725 | + | 0.522604i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.85802 | − | 35.4294i | −0.0602186 | − | 1.14827i | ||||
\(953\) | −48.9412 | −1.58536 | −0.792680 | − | 0.609638i | \(-0.791315\pi\) | ||||
−0.792680 | + | 0.609638i | \(0.791315\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.1028 | − | 20.9627i | 0.391638 | − | 0.678337i | ||||
\(956\) | 20.4478 | − | 35.4166i | 0.661328 | − | 1.14545i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 71.1546 | 2.29890 | ||||||||
\(959\) | 1.03857 | + | 19.8038i | 0.0335371 | + | 0.639499i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.1386 | + | 17.5605i | 0.327050 | + | 0.566468i | ||||
\(962\) | −19.0275 | + | 32.9565i | −0.613470 | + | 1.06256i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 42.8309 | + | 74.1854i | 1.37949 | + | 2.38935i | ||||
\(965\) | 54.8680 | 1.76626 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.91712 | 0.190282 | 0.0951409 | − | 0.995464i | \(-0.469670\pi\) | ||||
0.0951409 | + | 0.995464i | \(0.469670\pi\) | |||||||
\(968\) | −18.5680 | − | 32.1608i | −0.596799 | − | 1.03369i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −28.8729 | + | 50.0093i | −0.927052 | + | 1.60570i | ||||
\(971\) | 14.4888 | + | 25.0953i | 0.464966 | + | 0.805345i | 0.999200 | − | 0.0399914i | \(-0.0127331\pi\) |
−0.534234 | + | 0.845337i | \(0.679400\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 31.2099 | − | 20.2695i | 1.00054 | − | 0.649809i | ||||
\(974\) | −53.5866 | −1.71703 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.636580 | + | 1.10259i | −0.0203764 | + | 0.0352930i | ||||
\(977\) | −11.4228 | + | 19.7848i | −0.365447 | + | 0.632972i | −0.988848 | − | 0.148930i | \(-0.952417\pi\) |
0.623401 | + | 0.781902i | \(0.285750\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.67340 | 0.277203 | ||||||||
\(980\) | −30.7412 | + | 69.0589i | −0.981992 | + | 2.20601i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −41.8232 | − | 72.4400i | −1.33463 | − | 2.31165i | ||||
\(983\) | 15.6351 | − | 27.0809i | 0.498684 | − | 0.863745i | −0.501315 | − | 0.865265i | \(-0.667150\pi\) |
0.999999 | + | 0.00151933i | \(0.000483619\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.75726 | + | 15.1680i | 0.279029 | + | 0.483293i | ||||
\(986\) | −8.24442 | −0.262556 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.9598 | 0.380490 | ||||||||
\(989\) | −5.70679 | − | 9.88444i | −0.181465 | − | 0.314307i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.50732 | − | 6.07485i | 0.111414 | − | 0.192974i | −0.804927 | − | 0.593374i | \(-0.797796\pi\) |
0.916340 | + | 0.400400i | \(0.131129\pi\) | |||||||
\(992\) | −4.37581 | − | 7.57912i | −0.138932 | − | 0.240637i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −72.6862 | − | 37.0323i | −2.30547 | − | 1.17459i | ||||
\(995\) | 42.0858 | 1.33421 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.6439 | − | 18.4358i | 0.337095 | − | 0.583866i | −0.646790 | − | 0.762668i | \(-0.723889\pi\) |
0.983885 | + | 0.178802i | \(0.0572222\pi\) | |||||||
\(998\) | −10.6636 | + | 18.4698i | −0.337549 | + | 0.584653i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))