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 | 487.1 | ||
Root | \(1.19343 + 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.487 |
Dual form | 567.2.e.e.163.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 | \(-0.846929\pi\) |
0.0426999 | − | 0.999088i | \(-0.486404\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.84857 | + | 3.20182i | −0.924286 | + | 1.60091i | ||||
\(5\) | −1.46043 | − | 2.52954i | −0.653125 | − | 1.13125i | −0.982360 | − | 0.186998i | \(-0.940124\pi\) |
0.329235 | − | 0.944248i | \(-0.393209\pi\) | |||||||
\(6\) | 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 | −0.949839 | − | 0.312738i | \(-0.898754\pi\) |
0.745759 | + | 0.666216i | \(0.232087\pi\) | |||||||
\(12\) | 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 | −0.993899 | − | 0.110297i | \(-0.964820\pi\) |
0.592469 | + | 0.805593i | \(0.298153\pi\) | |||||||
\(18\) | 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 | 0.969887 | − | 0.243555i | \(-0.0783136\pi\) |
−0.695868 | + | 0.718169i | \(0.744980\pi\) | |||||||
\(24\) | 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 | \(-0.469113\pi\) | ||||
0.0968810 | + | 0.995296i | \(0.469113\pi\) | |||||||
\(30\) | 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 | \(-0.545104\pi\) | ||||
−0.141226 | + | 0.989977i | \(0.545104\pi\) | |||||||
\(42\) | 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 | 0.973859 | − | 0.227154i | \(-0.0729419\pi\) |
−0.683650 | + | 0.729810i | \(0.739609\pi\) | |||||||
\(48\) | 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 | −0.554612 | − | 0.832109i | \(-0.687133\pi\) |
0.997934 | + | 0.0642533i | \(0.0204666\pi\) | |||||||
\(54\) | 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 | \(0.459229\pi\) |
−0.922799 | + | 0.385283i | \(0.874104\pi\) | |||||||
\(60\) | 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 | \(-0.778016\pi\) | ||||
−0.766525 | + | 0.642214i | \(0.778016\pi\) | |||||||
\(72\) | 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 | \(-0.534437\pi\) | ||||
−0.107976 | + | 0.994154i | \(0.534437\pi\) | |||||||
\(84\) | 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 | 0.644777 | − | 0.764371i | \(-0.276950\pi\) |
−0.984353 | + | 0.176208i | \(0.943617\pi\) | |||||||
\(90\) | 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 | \(0.465741\pi\) |
−0.914724 | + | 0.404079i | \(0.867592\pi\) | |||||||
\(102\) | 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 | \(0.154499\pi\) |
−0.0382175 | + | 0.999269i | \(0.512168\pi\) | |||||||
\(108\) | 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 | \(-0.525316\pi\) | ||||
−0.0794491 | + | 0.996839i | \(0.525316\pi\) | |||||||
\(114\) | 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 | 0.958626 | − | 0.284669i | \(-0.0918837\pi\) |
−0.725844 | + | 0.687860i | \(0.758550\pi\) | |||||||
\(132\) | 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 | −0.980527 | − | 0.196385i | \(-0.937080\pi\) |
0.660338 | + | 0.750969i | \(0.270413\pi\) | |||||||
\(138\) | 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 | 0.907209 | − | 0.420680i | \(-0.138209\pi\) |
−0.817924 | + | 0.575326i | \(0.804875\pi\) | |||||||
\(150\) | 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 | \(-0.408883\pi\) | ||||
0.282360 | + | 0.959309i | \(0.408883\pi\) | |||||||
\(168\) | 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 | 0.778598 | − | 0.627522i | \(-0.215931\pi\) |
−0.932750 | + | 0.360525i | \(0.882598\pi\) | |||||||
\(174\) | 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 | −0.993174 | − | 0.116639i | \(-0.962788\pi\) |
0.597600 | + | 0.801795i | \(0.296121\pi\) | |||||||
\(180\) | 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 | 0.976094 | − | 0.217348i | \(-0.0697406\pi\) |
−0.676276 | + | 0.736648i | \(0.736407\pi\) | |||||||
\(192\) | 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 | \(-0.568522\pi\) | ||||
−0.213611 | + | 0.976919i | \(0.568522\pi\) | |||||||
\(198\) | 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 | \(-0.606344\pi\) |
0.982097 | − | 0.188376i | \(-0.0603222\pi\) | |||||||
\(228\) | 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 | 0.998517 | − | 0.0544448i | \(-0.0173389\pi\) |
−0.546409 | + | 0.837518i | \(0.684006\pi\) | |||||||
\(234\) | 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 | \(-0.383544\pi\) | ||||
0.357751 | + | 0.933817i | \(0.383544\pi\) | |||||||
\(240\) | 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 | \(-0.420995\pi\) | ||||
0.245662 | + | 0.969356i | \(0.420995\pi\) | |||||||
\(252\) | 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 | 0.981232 | − | 0.192833i | \(-0.0617676\pi\) |
−0.657614 | + | 0.753355i | \(0.728434\pi\) | |||||||
\(258\) | 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 | \(0.367499\pi\) |
−0.994245 | + | 0.107128i | \(0.965835\pi\) | |||||||
\(264\) | 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 | −0.699311 | − | 0.714818i | \(-0.746510\pi\) |
0.968706 | + | 0.248212i | \(0.0798430\pi\) | |||||||
\(270\) | 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 | \(-0.516208\pi\) | ||||
−0.0508964 | + | 0.998704i | \(0.516208\pi\) | |||||||
\(282\) | 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 | \(-0.548575\pi\) | ||||
−0.152012 | + | 0.988379i | \(0.548575\pi\) | |||||||
\(294\) | 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 | \(0.537288\pi\) |
−0.801652 | + | 0.597791i | \(0.796045\pi\) | |||||||
\(312\) | 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 | \(-0.960228\pi\) |
0.388175 | − | 0.921586i | \(-0.373106\pi\) | |||||||
\(318\) | 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 | −0.837553 | − | 0.546356i | \(-0.816015\pi\) |
0.891935 | + | 0.452164i | \(0.149348\pi\) | |||||||
\(348\) | 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 | −0.544588 | − | 0.838704i | \(-0.683314\pi\) |
0.998633 | + | 0.0522753i | \(0.0166473\pi\) | |||||||
\(354\) | 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 | 0.824215 | − | 0.566277i | \(-0.191617\pi\) |
−0.902518 | + | 0.430652i | \(0.858283\pi\) | |||||||
\(360\) | 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 | \(-0.920826\pi\) |
0.271419 | − | 0.962461i | \(-0.412507\pi\) | |||||||
\(384\) | 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 | −0.808099 | − | 0.589047i | \(-0.799503\pi\) |
0.914179 | + | 0.405311i | \(0.132837\pi\) | |||||||
\(390\) | 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 | 0.767778 | − | 0.640716i | \(-0.221362\pi\) |
−0.938765 | + | 0.344557i | \(0.888029\pi\) | |||||||
\(402\) | 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 | \(-0.315135\pi\) | ||||
0.548669 | + | 0.836040i | \(0.315135\pi\) | |||||||
\(420\) | 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 | −0.512370 | − | 0.858765i | \(-0.671232\pi\) |
0.999897 | + | 0.0143427i | \(0.00456557\pi\) | |||||||
\(432\) | 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 | 0.542501 | − | 0.840055i | \(-0.317477\pi\) |
−0.998760 | + | 0.0497923i | \(0.984144\pi\) | |||||||
\(444\) | 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 | \(-0.253785\pi\) | ||||
0.698648 | + | 0.715465i | \(0.253785\pi\) | |||||||
\(450\) | 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 | \(-0.330187\pi\) | ||||
0.508536 | + | 0.861041i | \(0.330187\pi\) | |||||||
\(462\) | 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 | \(0.133167\pi\) |
−0.105049 | + | 0.994467i | \(0.533500\pi\) | |||||||
\(468\) | 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 | \(0.405142\pi\) |
−0.974662 | + | 0.223684i | \(0.928192\pi\) | |||||||
\(480\) | 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 | \(-0.209682\pi\) | ||||
0.790767 | + | 0.612118i | \(0.209682\pi\) | |||||||
\(492\) | 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 | \(-0.409068\pi\) | ||||
0.281802 | + | 0.959473i | \(0.409068\pi\) | |||||||
\(504\) | 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 | \(-0.952580\pi\) |
0.365924 | − | 0.930645i | \(-0.380753\pi\) | |||||||
\(510\) | 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 | −0.943797 | − | 0.330524i | \(-0.892774\pi\) |
0.758141 | + | 0.652090i | \(0.226108\pi\) | |||||||
\(522\) | 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 | \(0.416719\pi\) |
−0.965883 | + | 0.258977i | \(0.916614\pi\) | |||||||
\(558\) | 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 | −0.842013 | − | 0.539457i | \(-0.818630\pi\) |
0.888190 | + | 0.459477i | \(0.151963\pi\) | |||||||
\(564\) | 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 | 0.993475 | − | 0.114049i | \(-0.0363822\pi\) |
−0.595507 | + | 0.803350i | \(0.703049\pi\) | |||||||
\(570\) | 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 | \(-0.623744\pi\) | ||||
−0.379036 | + | 0.925382i | \(0.623744\pi\) | |||||||
\(588\) | 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 | \(-0.973656\pi\) |
0.426698 | − | 0.904394i | \(-0.359677\pi\) | |||||||
\(594\) | 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 | −0.861881 | − | 0.507110i | \(-0.830714\pi\) |
0.870111 | + | 0.492856i | \(0.164047\pi\) | |||||||
\(600\) | 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 | \(-0.819017\pi\) | ||||
−0.842669 | + | 0.538431i | \(0.819017\pi\) | |||||||
\(618\) | 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 | −0.723819 | − | 0.689990i | \(-0.757615\pi\) |
0.959458 | + | 0.281850i | \(0.0909481\pi\) | |||||||
\(642\) | 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 | −0.875582 | − | 0.483070i | \(-0.839522\pi\) |
0.856142 | + | 0.516741i | \(0.172855\pi\) | |||||||
\(648\) | 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 | 0.998014 | − | 0.0630004i | \(-0.0200669\pi\) |
−0.553567 | + | 0.832805i | \(0.686734\pi\) | |||||||
\(654\) | 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 | \(-0.768843\pi\) | ||||
−0.747702 | + | 0.664035i | \(0.768843\pi\) | |||||||
\(660\) | 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 | \(-0.906363\pi\) |
0.227421 | − | 0.973797i | \(-0.426971\pi\) | |||||||
\(678\) | 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 | −0.973942 | − | 0.226796i | \(-0.927175\pi\) |
0.683382 | + | 0.730061i | \(0.260508\pi\) | |||||||
\(684\) | 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 | \(-0.428150\pi\) | ||||
0.223813 | + | 0.974632i | \(0.428150\pi\) | |||||||
\(702\) | 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 | 0.602516 | − | 0.798107i | \(-0.294165\pi\) |
−0.992439 | + | 0.122741i | \(0.960832\pi\) | |||||||
\(720\) | 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 | \(-0.373503\pi\) | ||||
0.387026 | + | 0.922069i | \(0.373503\pi\) | |||||||
\(744\) | 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 | 0.806074 | − | 0.591814i | \(-0.201588\pi\) |
−0.915563 | + | 0.402174i | \(0.868255\pi\) | |||||||
\(762\) | 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 | \(0.403241\pi\) |
−0.975980 | + | 0.217861i | \(0.930092\pi\) | |||||||
\(774\) | 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 | \(-0.719765\pi\) | ||||
−0.636855 | + | 0.770984i | \(0.719765\pi\) | |||||||
\(798\) | 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 | \(-0.593160\pi\) |
0.973455 | − | 0.228880i | \(-0.0735065\pi\) | |||||||
\(810\) | 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 | \(0.0917872\pi\) |
−0.233077 | + | 0.972458i | \(0.574879\pi\) | |||||||
\(822\) | 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 | \(-0.779706\pi\) | ||||
−0.769923 | + | 0.638137i | \(0.779706\pi\) | |||||||
\(828\) | 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 | \(-0.329285\pi\) | ||||
0.510974 | + | 0.859596i | \(0.329285\pi\) | |||||||
\(840\) | 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 | \(-0.614961\pi\) |
0.986836 | − | 0.161724i | \(-0.0517053\pi\) | |||||||
\(858\) | 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 | 0.862368 | − | 0.506282i | \(-0.168981\pi\) |
−0.869637 | + | 0.493691i | \(0.835647\pi\) | |||||||
\(864\) | 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 | \(-0.296084\pi\) | ||||
0.597692 | + | 0.801726i | \(0.296084\pi\) | |||||||
\(882\) | 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 | \(0.250642\pi\) |
0.260767 | + | 0.965402i | \(0.416025\pi\) | |||||||
\(888\) | 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 | \(-0.376921\pi\) | ||||
0.377101 | + | 0.926172i | \(0.376921\pi\) | |||||||
\(912\) | 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 | 0.908759 | − | 0.417322i | \(-0.137031\pi\) |
−0.815791 | + | 0.578347i | \(0.803698\pi\) | |||||||
\(930\) | 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 | −0.649768 | − | 0.760132i | \(-0.725134\pi\) |
0.983178 | + | 0.182650i | \(0.0584674\pi\) | |||||||
\(942\) | 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 | 0.824698 | − | 0.565573i | \(-0.191345\pi\) |
−0.902150 | + | 0.431423i | \(0.858012\pi\) | |||||||
\(948\) | 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 | \(-0.208685\pi\) | ||||
0.792680 | + | 0.609638i | \(0.208685\pi\) | |||||||
\(954\) | 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 | 0.534234 | − | 0.845337i | \(-0.320600\pi\) |
−0.999200 | + | 0.0399914i | \(0.987267\pi\) | |||||||
\(972\) | 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 | −0.623401 | − | 0.781902i | \(-0.714250\pi\) |
0.988848 | + | 0.148930i | \(0.0475830\pi\) | |||||||
\(978\) | 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 | −0.999999 | − | 0.00151933i | \(-0.999516\pi\) |
0.501315 | + | 0.865265i | \(0.332850\pi\) | |||||||
\(984\) | 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 \(a_p\))