Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(49,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.49787136.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 3x^{6} + 5x^{4} + 12x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Root | \(0.228425 - 1.39564i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.49 |
Dual form | 950.2.j.g.349.3 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −2.29129 | − | 1.32288i | −1.32288 | − | 0.763763i | −0.338689 | − | 0.940898i | \(-0.609984\pi\) |
−0.984186 | + | 0.177136i | \(0.943317\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.32288 | − | 2.29129i | −0.540062 | − | 0.935414i | ||||
\(7\) | − | 3.64575i | − | 1.37796i | −0.724778 | − | 0.688982i | \(-0.758058\pi\) | ||
0.724778 | − | 0.688982i | \(-0.241942\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.00000 | + | 3.46410i | 0.666667 | + | 1.15470i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.64575 | −1.40075 | −0.700373 | − | 0.713777i | \(-0.746983\pi\) | ||||
−0.700373 | + | 0.713777i | \(0.746983\pi\) | |||||||
\(12\) | − | 2.64575i | − | 0.763763i | ||||||
\(13\) | 1.73205 | − | 1.00000i | 0.480384 | − | 0.277350i | −0.240192 | − | 0.970725i | \(-0.577210\pi\) |
0.720577 | + | 0.693375i | \(0.243877\pi\) | |||||||
\(14\) | 1.82288 | − | 3.15731i | 0.487184 | − | 0.843827i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(18\) | 4.00000i | 0.942809i | ||||||||
\(19\) | −1.67712 | + | 4.02334i | −0.384759 | + | 0.923017i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.82288 | + | 8.35347i | −1.05244 | + | 1.82288i | ||||
\(22\) | −4.02334 | − | 2.32288i | −0.857779 | − | 0.495239i | ||||
\(23\) | −1.42526 | + | 0.822876i | −0.297188 | + | 0.171581i | −0.641179 | − | 0.767391i | \(-0.721554\pi\) |
0.343991 | + | 0.938973i | \(0.388221\pi\) | |||||||
\(24\) | 1.32288 | − | 2.29129i | 0.270031 | − | 0.467707i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.00000 | 0.392232 | ||||||||
\(27\) | − | 2.64575i | − | 0.509175i | ||||||
\(28\) | 3.15731 | − | 1.82288i | 0.596676 | − | 0.344491i | ||||
\(29\) | 0.822876 | + | 1.42526i | 0.152804 | + | 0.264665i | 0.932257 | − | 0.361796i | \(-0.117836\pi\) |
−0.779453 | + | 0.626461i | \(0.784503\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.64575 | −1.01401 | −0.507003 | − | 0.861944i | \(-0.669247\pi\) | ||||
−0.507003 | + | 0.861944i | \(0.669247\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 10.6448 | + | 6.14575i | 1.85301 | + | 1.06984i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.00000 | + | 3.46410i | −0.333333 | + | 0.577350i | ||||
\(37\) | − | 0.354249i | − | 0.0582381i | −0.999576 | − | 0.0291191i | \(-0.990730\pi\) | ||
0.999576 | − | 0.0291191i | \(-0.00927020\pi\) | |||||||
\(38\) | −3.46410 | + | 2.64575i | −0.561951 | + | 0.429198i | ||||
\(39\) | −5.29150 | −0.847319 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.145751 | − | 0.252449i | 0.0227625 | − | 0.0394259i | −0.854420 | − | 0.519583i | \(-0.826087\pi\) |
0.877182 | + | 0.480158i | \(0.159421\pi\) | |||||||
\(42\) | −8.35347 | + | 4.82288i | −1.28897 | + | 0.744186i | ||||
\(43\) | −9.77873 | − | 5.64575i | −1.49124 | − | 0.860969i | −0.491292 | − | 0.870995i | \(-0.663475\pi\) |
−0.999950 | + | 0.0100257i | \(0.996809\pi\) | |||||||
\(44\) | −2.32288 | − | 4.02334i | −0.350187 | − | 0.606541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.64575 | −0.242653 | ||||||||
\(47\) | −3.77089 | + | 2.17712i | −0.550041 | + | 0.317566i | −0.749138 | − | 0.662413i | \(-0.769532\pi\) |
0.199098 | + | 0.979980i | \(0.436199\pi\) | |||||||
\(48\) | 2.29129 | − | 1.32288i | 0.330719 | − | 0.190941i | ||||
\(49\) | −6.29150 | −0.898786 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.73205 | + | 1.00000i | 0.240192 | + | 0.138675i | ||||
\(53\) | −10.8972 | + | 6.29150i | −1.49685 | + | 0.864204i | −0.999993 | − | 0.00363070i | \(-0.998844\pi\) |
−0.496852 | + | 0.867835i | \(0.665511\pi\) | |||||||
\(54\) | 1.32288 | − | 2.29129i | 0.180021 | − | 0.311805i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.64575 | 0.487184 | ||||||||
\(57\) | 9.16515 | − | 7.00000i | 1.21395 | − | 0.927173i | ||||
\(58\) | 1.64575i | 0.216098i | ||||||||
\(59\) | −3.96863 | + | 6.87386i | −0.516671 | + | 0.894901i | 0.483141 | + | 0.875542i | \(0.339496\pi\) |
−0.999813 | + | 0.0193585i | \(0.993838\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.468627 | − | 0.811686i | −0.0600015 | − | 0.103926i | 0.834464 | − | 0.551062i | \(-0.185777\pi\) |
−0.894466 | + | 0.447136i | \(0.852444\pi\) | |||||||
\(62\) | −4.88936 | − | 2.82288i | −0.620950 | − | 0.358506i | ||||
\(63\) | 12.6293 | − | 7.29150i | 1.59114 | − | 0.918643i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 6.14575 | + | 10.6448i | 0.756490 | + | 1.31028i | ||||
\(67\) | −0.559237 | + | 0.322876i | −0.0683217 | + | 0.0394455i | −0.533772 | − | 0.845629i | \(-0.679226\pi\) |
0.465450 | + | 0.885074i | \(0.345892\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.35425 | 0.524190 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.35425 | − | 2.34563i | 0.160720 | − | 0.278375i | −0.774407 | − | 0.632687i | \(-0.781952\pi\) |
0.935127 | + | 0.354313i | \(0.115285\pi\) | |||||||
\(72\) | −3.46410 | + | 2.00000i | −0.408248 | + | 0.235702i | ||||
\(73\) | −1.47960 | − | 0.854249i | −0.173174 | − | 0.0999822i | 0.410907 | − | 0.911677i | \(-0.365212\pi\) |
−0.584082 | + | 0.811695i | \(0.698545\pi\) | |||||||
\(74\) | 0.177124 | − | 0.306788i | 0.0205903 | − | 0.0356634i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.32288 | + | 0.559237i | −0.495868 | + | 0.0641489i | ||||
\(77\) | 16.9373i | 1.93018i | ||||||||
\(78\) | −4.58258 | − | 2.64575i | −0.518875 | − | 0.299572i | ||||
\(79\) | −2.00000 | + | 3.46410i | −0.225018 | + | 0.389742i | −0.956325 | − | 0.292306i | \(-0.905577\pi\) |
0.731307 | + | 0.682048i | \(0.238911\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.50000 | − | 4.33013i | 0.277778 | − | 0.481125i | ||||
\(82\) | 0.252449 | − | 0.145751i | 0.0278783 | − | 0.0160955i | ||||
\(83\) | 7.93725i | 0.871227i | 0.900134 | + | 0.435613i | \(0.143469\pi\) | ||||
−0.900134 | + | 0.435613i | \(0.856531\pi\) | |||||||
\(84\) | −9.64575 | −1.05244 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −5.64575 | − | 9.77873i | −0.608797 | − | 1.05447i | ||||
\(87\) | − | 4.35425i | − | 0.466824i | ||||||
\(88\) | − | 4.64575i | − | 0.495239i | ||||||
\(89\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.64575 | − | 6.31463i | −0.382179 | − | 0.661953i | ||||
\(92\) | −1.42526 | − | 0.822876i | −0.148594 | − | 0.0857907i | ||||
\(93\) | 12.9360 | + | 7.46863i | 1.34141 | + | 0.774461i | ||||
\(94\) | −4.35425 | −0.449106 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.64575 | 0.270031 | ||||||||
\(97\) | −3.21165 | − | 1.85425i | −0.326094 | − | 0.188270i | 0.328012 | − | 0.944674i | \(-0.393621\pi\) |
−0.654106 | + | 0.756403i | \(0.726955\pi\) | |||||||
\(98\) | −5.44860 | − | 3.14575i | −0.550392 | − | 0.317769i | ||||
\(99\) | −9.29150 | − | 16.0934i | −0.933831 | − | 1.61744i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.82288 | + | 11.8176i | 0.678902 | + | 1.17589i | 0.975312 | + | 0.220831i | \(0.0708770\pi\) |
−0.296411 | + | 0.955061i | \(0.595790\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 13.2915i | − | 1.30965i | −0.755780 | − | 0.654825i | \(-0.772742\pi\) | ||
0.755780 | − | 0.654825i | \(-0.227258\pi\) | |||||||
\(104\) | 1.00000 | + | 1.73205i | 0.0980581 | + | 0.169842i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −12.5830 | −1.22217 | ||||||||
\(107\) | − | 15.2915i | − | 1.47829i | −0.673549 | − | 0.739143i | \(-0.735231\pi\) | ||
0.673549 | − | 0.739143i | \(-0.264769\pi\) | |||||||
\(108\) | 2.29129 | − | 1.32288i | 0.220479 | − | 0.127294i | ||||
\(109\) | 7.29150 | − | 12.6293i | 0.698399 | − | 1.20966i | −0.270622 | − | 0.962686i | \(-0.587229\pi\) |
0.969021 | − | 0.246977i | \(-0.0794373\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.468627 | + | 0.811686i | −0.0444801 | + | 0.0770418i | ||||
\(112\) | 3.15731 | + | 1.82288i | 0.298338 | + | 0.172246i | ||||
\(113\) | − | 15.5830i | − | 1.46593i | −0.680269 | − | 0.732963i | \(-0.738137\pi\) | ||
0.680269 | − | 0.732963i | \(-0.261863\pi\) | |||||||
\(114\) | 11.4373 | − | 1.47960i | 1.07120 | − | 0.138577i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.822876 | + | 1.42526i | −0.0764021 | + | 0.132332i | ||||
\(117\) | 6.92820 | + | 4.00000i | 0.640513 | + | 0.369800i | ||||
\(118\) | −6.87386 | + | 3.96863i | −0.632790 | + | 0.365342i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.5830 | 0.962091 | ||||||||
\(122\) | − | 0.937254i | − | 0.0848550i | ||||||
\(123\) | −0.667916 | + | 0.385622i | −0.0602240 | + | 0.0347703i | ||||
\(124\) | −2.82288 | − | 4.88936i | −0.253502 | − | 0.439078i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 14.5830 | 1.29916 | ||||||||
\(127\) | 11.5108 | − | 6.64575i | 1.02142 | − | 0.589715i | 0.106903 | − | 0.994270i | \(-0.465907\pi\) |
0.914514 | + | 0.404554i | \(0.132573\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 14.9373 | + | 25.8721i | 1.31515 | + | 2.27791i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.968627 | + | 1.67771i | −0.0846293 | + | 0.146582i | −0.905233 | − | 0.424915i | \(-0.860304\pi\) |
0.820604 | + | 0.571497i | \(0.193637\pi\) | |||||||
\(132\) | 12.2915i | 1.06984i | ||||||||
\(133\) | 14.6681 | + | 6.11438i | 1.27188 | + | 0.530184i | ||||
\(134\) | −0.645751 | −0.0557844 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −13.4953 | + | 7.79150i | −1.15298 | + | 0.665673i | −0.949612 | − | 0.313429i | \(-0.898522\pi\) |
−0.203368 | + | 0.979102i | \(0.565189\pi\) | |||||||
\(138\) | 3.77089 | + | 2.17712i | 0.320999 | + | 0.185329i | ||||
\(139\) | 9.32288 | + | 16.1477i | 0.790756 | + | 1.36963i | 0.925499 | + | 0.378749i | \(0.123646\pi\) |
−0.134743 | + | 0.990881i | \(0.543021\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.5203 | 0.970181 | ||||||||
\(142\) | 2.34563 | − | 1.35425i | 0.196841 | − | 0.113646i | ||||
\(143\) | −8.04668 | + | 4.64575i | −0.672897 | + | 0.388497i | ||||
\(144\) | −4.00000 | −0.333333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.854249 | − | 1.47960i | −0.0706981 | − | 0.122453i | ||||
\(147\) | 14.4156 | + | 8.32288i | 1.18898 | + | 0.686459i | ||||
\(148\) | 0.306788 | − | 0.177124i | 0.0252178 | − | 0.0145595i | ||||
\(149\) | 5.46863 | − | 9.47194i | 0.448007 | − | 0.775972i | −0.550249 | − | 0.835001i | \(-0.685467\pi\) |
0.998256 | + | 0.0590292i | \(0.0188005\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.9373 | 1.05282 | 0.526409 | − | 0.850231i | \(-0.323538\pi\) | ||||
0.526409 | + | 0.850231i | \(0.323538\pi\) | |||||||
\(152\) | −4.02334 | − | 1.67712i | −0.326336 | − | 0.136033i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −8.46863 | + | 14.6681i | −0.682421 | + | 1.18199i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.64575 | − | 4.58258i | −0.211830 | − | 0.366900i | ||||
\(157\) | −9.16515 | − | 5.29150i | −0.731459 | − | 0.422308i | 0.0874969 | − | 0.996165i | \(-0.472113\pi\) |
−0.818956 | + | 0.573857i | \(0.805447\pi\) | |||||||
\(158\) | −3.46410 | + | 2.00000i | −0.275589 | + | 0.159111i | ||||
\(159\) | 33.2915 | 2.64019 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.00000 | + | 5.19615i | 0.236433 | + | 0.409514i | ||||
\(162\) | 4.33013 | − | 2.50000i | 0.340207 | − | 0.196419i | ||||
\(163\) | 3.93725i | 0.308390i | 0.988040 | + | 0.154195i | \(0.0492783\pi\) | ||||
−0.988040 | + | 0.154195i | \(0.950722\pi\) | |||||||
\(164\) | 0.291503 | 0.0227625 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.96863 | + | 6.87386i | −0.308025 | + | 0.533515i | ||||
\(167\) | 10.3923 | − | 6.00000i | 0.804181 | − | 0.464294i | −0.0407502 | − | 0.999169i | \(-0.512975\pi\) |
0.844931 | + | 0.534875i | \(0.179641\pi\) | |||||||
\(168\) | −8.35347 | − | 4.82288i | −0.644484 | − | 0.372093i | ||||
\(169\) | −4.50000 | + | 7.79423i | −0.346154 | + | 0.599556i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −17.2915 | + | 2.23695i | −1.32231 | + | 0.171064i | ||||
\(172\) | − | 11.2915i | − | 0.860969i | ||||||
\(173\) | 5.19615 | + | 3.00000i | 0.395056 | + | 0.228086i | 0.684349 | − | 0.729155i | \(-0.260087\pi\) |
−0.289292 | + | 0.957241i | \(0.593420\pi\) | |||||||
\(174\) | 2.17712 | − | 3.77089i | 0.165047 | − | 0.285870i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.32288 | − | 4.02334i | 0.175093 | − | 0.303271i | ||||
\(177\) | 18.1865 | − | 10.5000i | 1.36698 | − | 0.789228i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.06275 | −0.303664 | −0.151832 | − | 0.988406i | \(-0.548517\pi\) | ||||
−0.151832 | + | 0.988406i | \(0.548517\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.1144 | − | 19.2507i | −0.826125 | − | 1.43089i | −0.901056 | − | 0.433702i | \(-0.857207\pi\) |
0.0749311 | − | 0.997189i | \(-0.476126\pi\) | |||||||
\(182\) | − | 7.29150i | − | 0.540482i | ||||||
\(183\) | 2.47974i | 0.183308i | ||||||||
\(184\) | −0.822876 | − | 1.42526i | −0.0606632 | − | 0.105072i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 7.46863 | + | 12.9360i | 0.547626 | + | 0.948517i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −3.77089 | − | 2.17712i | −0.275020 | − | 0.158783i | ||||
\(189\) | −9.64575 | −0.701625 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.58301 | 0.476330 | 0.238165 | − | 0.971225i | \(-0.423454\pi\) | ||||
0.238165 | + | 0.971225i | \(0.423454\pi\) | |||||||
\(192\) | 2.29129 | + | 1.32288i | 0.165359 | + | 0.0954703i | ||||
\(193\) | −12.6293 | − | 7.29150i | −0.909074 | − | 0.524854i | −0.0289406 | − | 0.999581i | \(-0.509213\pi\) |
−0.880133 | + | 0.474727i | \(0.842547\pi\) | |||||||
\(194\) | −1.85425 | − | 3.21165i | −0.133127 | − | 0.230583i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.14575 | − | 5.44860i | −0.224697 | − | 0.389186i | ||||
\(197\) | 7.64575i | 0.544737i | 0.962193 | + | 0.272369i | \(0.0878070\pi\) | ||||
−0.962193 | + | 0.272369i | \(0.912193\pi\) | |||||||
\(198\) | − | 18.5830i | − | 1.32064i | ||||||
\(199\) | −9.93725 | − | 17.2118i | −0.704433 | − | 1.22011i | −0.966896 | − | 0.255172i | \(-0.917868\pi\) |
0.262462 | − | 0.964942i | \(-0.415465\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.70850 | 0.120508 | ||||||||
\(202\) | 13.6458i | 0.960112i | ||||||||
\(203\) | 5.19615 | − | 3.00000i | 0.364698 | − | 0.210559i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.64575 | − | 11.5108i | 0.463031 | − | 0.801994i | ||||
\(207\) | −5.70105 | − | 3.29150i | −0.396250 | − | 0.228775i | ||||
\(208\) | 2.00000i | 0.138675i | ||||||||
\(209\) | 7.79150 | − | 18.6914i | 0.538950 | − | 1.29291i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.64575 | − | 11.5108i | 0.457512 | − | 0.792435i | −0.541316 | − | 0.840819i | \(-0.682074\pi\) |
0.998829 | + | 0.0483843i | \(0.0154072\pi\) | |||||||
\(212\) | −10.8972 | − | 6.29150i | −0.748423 | − | 0.432102i | ||||
\(213\) | −6.20595 | + | 3.58301i | −0.425224 | + | 0.245503i | ||||
\(214\) | 7.64575 | − | 13.2428i | 0.522653 | − | 0.905261i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.64575 | 0.180021 | ||||||||
\(217\) | 20.5830i | 1.39727i | ||||||||
\(218\) | 12.6293 | − | 7.29150i | 0.855361 | − | 0.493843i | ||||
\(219\) | 2.26013 | + | 3.91466i | 0.152725 | + | 0.264528i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −0.811686 | + | 0.468627i | −0.0544768 | + | 0.0314522i | ||||
\(223\) | 16.2915 | + | 9.40588i | 1.09096 | + | 0.629864i | 0.933831 | − | 0.357714i | \(-0.116444\pi\) |
0.157126 | + | 0.987579i | \(0.449777\pi\) | |||||||
\(224\) | 1.82288 | + | 3.15731i | 0.121796 | + | 0.210957i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.79150 | − | 13.4953i | 0.518283 | − | 0.897693i | ||||
\(227\) | 7.35425i | 0.488119i | 0.969760 | + | 0.244059i | \(0.0784792\pi\) | ||||
−0.969760 | + | 0.244059i | \(0.921521\pi\) | |||||||
\(228\) | 10.6448 | + | 4.43725i | 0.704966 | + | 0.293864i | ||||
\(229\) | −20.0000 | −1.32164 | −0.660819 | − | 0.750546i | \(-0.729791\pi\) | ||||
−0.660819 | + | 0.750546i | \(0.729791\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 22.4059 | − | 38.8081i | 1.47420 | − | 2.55339i | ||||
\(232\) | −1.42526 | + | 0.822876i | −0.0935731 | + | 0.0540244i | ||||
\(233\) | −16.3458 | − | 9.43725i | −1.07085 | − | 0.618255i | −0.142436 | − | 0.989804i | \(-0.545493\pi\) |
−0.928413 | + | 0.371549i | \(0.878827\pi\) | |||||||
\(234\) | 4.00000 | + | 6.92820i | 0.261488 | + | 0.452911i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −7.93725 | −0.516671 | ||||||||
\(237\) | 9.16515 | − | 5.29150i | 0.595341 | − | 0.343720i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.0000 | 0.776215 | 0.388108 | − | 0.921614i | \(-0.373129\pi\) | ||||
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.79150 | + | 6.56708i | 0.244232 | + | 0.423022i | 0.961915 | − | 0.273347i | \(-0.0881308\pi\) |
−0.717683 | + | 0.696370i | \(0.754797\pi\) | |||||||
\(242\) | 9.16515 | + | 5.29150i | 0.589158 | + | 0.340151i | ||||
\(243\) | −18.3303 | + | 10.5830i | −1.17589 | + | 0.678900i | ||||
\(244\) | 0.468627 | − | 0.811686i | 0.0300008 | − | 0.0519629i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.771243 | −0.0491727 | ||||||||
\(247\) | 1.11847 | + | 8.64575i | 0.0711668 | + | 0.550116i | ||||
\(248\) | − | 5.64575i | − | 0.358506i | ||||||
\(249\) | 10.5000 | − | 18.1865i | 0.665410 | − | 1.15252i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.6144 | − | 25.3128i | −0.922451 | − | 1.59773i | −0.795610 | − | 0.605810i | \(-0.792849\pi\) |
−0.126842 | − | 0.991923i | \(-0.540484\pi\) | |||||||
\(252\) | 12.6293 | + | 7.29150i | 0.795568 | + | 0.459321i | ||||
\(253\) | 6.62141 | − | 3.82288i | 0.416285 | − | 0.240342i | ||||
\(254\) | 13.2915 | 0.833983 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −10.6448 | + | 6.14575i | −0.664001 | + | 0.383361i | −0.793800 | − | 0.608179i | \(-0.791900\pi\) |
0.129798 | + | 0.991540i | \(0.458567\pi\) | |||||||
\(258\) | 29.8745i | 1.85991i | ||||||||
\(259\) | −1.29150 | −0.0802501 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.29150 | + | 5.70105i | −0.203739 | + | 0.352886i | ||||
\(262\) | −1.67771 | + | 0.968627i | −0.103649 | + | 0.0598420i | ||||
\(263\) | 9.47194 | + | 5.46863i | 0.584065 | + | 0.337210i | 0.762747 | − | 0.646697i | \(-0.223850\pi\) |
−0.178682 | + | 0.983907i | \(0.557183\pi\) | |||||||
\(264\) | −6.14575 | + | 10.6448i | −0.378245 | + | 0.655139i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 9.64575 | + | 12.6293i | 0.591419 | + | 0.774349i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.559237 | − | 0.322876i | −0.0341608 | − | 0.0197228i | ||||
\(269\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.17712 | + | 10.6991i | −0.375234 | + | 0.649924i | −0.990362 | − | 0.138503i | \(-0.955771\pi\) |
0.615128 | + | 0.788427i | \(0.289104\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 19.2915i | 1.16757i | ||||||||
\(274\) | −15.5830 | −0.941404 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.17712 | + | 3.77089i | 0.131047 | + | 0.226981i | ||||
\(277\) | 27.5203i | 1.65353i | 0.562546 | + | 0.826766i | \(0.309822\pi\) | ||||
−0.562546 | + | 0.826766i | \(0.690178\pi\) | |||||||
\(278\) | 18.6458i | 1.11830i | ||||||||
\(279\) | −11.2915 | − | 19.5575i | −0.676005 | − | 1.17087i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.7288 | − | 22.0469i | −0.759334 | − | 1.31520i | −0.943191 | − | 0.332252i | \(-0.892192\pi\) |
0.183857 | − | 0.982953i | \(-0.441142\pi\) | |||||||
\(282\) | 9.97684 | + | 5.76013i | 0.594112 | + | 0.343011i | ||||
\(283\) | −26.5400 | − | 15.3229i | −1.57764 | − | 0.910850i | −0.995188 | − | 0.0979848i | \(-0.968760\pi\) |
−0.582451 | − | 0.812866i | \(-0.697906\pi\) | |||||||
\(284\) | 2.70850 | 0.160720 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.29150 | −0.549418 | ||||||||
\(287\) | −0.920365 | − | 0.531373i | −0.0543274 | − | 0.0313660i | ||||
\(288\) | −3.46410 | − | 2.00000i | −0.204124 | − | 0.117851i | ||||
\(289\) | −8.50000 | − | 14.7224i | −0.500000 | − | 0.866025i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.90588 | + | 8.49723i | 0.287588 | + | 0.498117i | ||||
\(292\) | − | 1.70850i | − | 0.0999822i | ||||||
\(293\) | 28.9373i | 1.69053i | 0.534345 | + | 0.845266i | \(0.320558\pi\) | ||||
−0.534345 | + | 0.845266i | \(0.679442\pi\) | |||||||
\(294\) | 8.32288 | + | 14.4156i | 0.485400 | + | 0.840737i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.354249 | 0.0205903 | ||||||||
\(297\) | 12.2915i | 0.713225i | ||||||||
\(298\) | 9.47194 | − | 5.46863i | 0.548695 | − | 0.316789i | ||||
\(299\) | −1.64575 | + | 2.85052i | −0.0951763 | + | 0.164850i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.5830 | + | 35.6508i | −1.18638 | + | 2.05488i | ||||
\(302\) | 11.2040 | + | 6.46863i | 0.644717 | + | 0.372228i | ||||
\(303\) | − | 36.1033i | − | 2.07408i | ||||||
\(304\) | −2.64575 | − | 3.46410i | −0.151744 | − | 0.198680i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.559237 | + | 0.322876i | 0.0319173 | + | 0.0184275i | 0.515874 | − | 0.856665i | \(-0.327467\pi\) |
−0.483956 | + | 0.875092i | \(0.660801\pi\) | |||||||
\(308\) | −14.6681 | + | 8.46863i | −0.835792 | + | 0.482545i | ||||
\(309\) | −17.5830 | + | 30.4547i | −1.00026 | + | 1.73250i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.6458 | 0.773780 | 0.386890 | − | 0.922126i | \(-0.373549\pi\) | ||||
0.386890 | + | 0.922126i | \(0.373549\pi\) | |||||||
\(312\) | − | 5.29150i | − | 0.299572i | ||||||
\(313\) | 7.68555 | − | 4.43725i | 0.434413 | − | 0.250808i | −0.266812 | − | 0.963749i | \(-0.585970\pi\) |
0.701225 | + | 0.712940i | \(0.252637\pi\) | |||||||
\(314\) | −5.29150 | − | 9.16515i | −0.298617 | − | 0.517219i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.00000 | −0.225018 | ||||||||
\(317\) | 5.19615 | − | 3.00000i | 0.291845 | − | 0.168497i | −0.346929 | − | 0.937892i | \(-0.612775\pi\) |
0.638774 | + | 0.769395i | \(0.279442\pi\) | |||||||
\(318\) | 28.8313 | + | 16.6458i | 1.61678 | + | 0.933447i | ||||
\(319\) | −3.82288 | − | 6.62141i | −0.214040 | − | 0.370728i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −20.2288 | + | 35.0372i | −1.12906 | + | 1.95559i | ||||
\(322\) | 6.00000i | 0.334367i | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 5.00000 | 0.277778 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.96863 | + | 3.40976i | −0.109032 | + | 0.188849i | ||||
\(327\) | −33.4139 | + | 19.2915i | −1.84779 | + | 1.06682i | ||||
\(328\) | 0.252449 | + | 0.145751i | 0.0139391 | + | 0.00804777i | ||||
\(329\) | 7.93725 | + | 13.7477i | 0.437595 | + | 0.757937i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.8118 | 1.08895 | 0.544476 | − | 0.838776i | \(-0.316728\pi\) | ||||
0.544476 | + | 0.838776i | \(0.316728\pi\) | |||||||
\(332\) | −6.87386 | + | 3.96863i | −0.377252 | + | 0.217807i | ||||
\(333\) | 1.22715 | − | 0.708497i | 0.0672476 | − | 0.0388254i | ||||
\(334\) | 12.0000 | 0.656611 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −4.82288 | − | 8.35347i | −0.263109 | − | 0.455719i | ||||
\(337\) | −8.40781 | − | 4.85425i | −0.458002 | − | 0.264428i | 0.253202 | − | 0.967414i | \(-0.418516\pi\) |
−0.711204 | + | 0.702986i | \(0.751850\pi\) | |||||||
\(338\) | −7.79423 | + | 4.50000i | −0.423950 | + | 0.244768i | ||||
\(339\) | −20.6144 | + | 35.7052i | −1.11962 | + | 1.93924i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 26.2288 | 1.42037 | ||||||||
\(342\) | −16.0934 | − | 6.70850i | −0.870229 | − | 0.362754i | ||||
\(343\) | − | 2.58301i | − | 0.139469i | ||||||
\(344\) | 5.64575 | − | 9.77873i | 0.304399 | − | 0.527234i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.00000 | + | 5.19615i | 0.161281 | + | 0.279347i | ||||
\(347\) | −20.1167 | − | 11.6144i | −1.07992 | − | 0.623492i | −0.149046 | − | 0.988830i | \(-0.547620\pi\) |
−0.930875 | + | 0.365338i | \(0.880953\pi\) | |||||||
\(348\) | 3.77089 | − | 2.17712i | 0.202141 | − | 0.116706i | ||||
\(349\) | −21.1660 | −1.13299 | −0.566495 | − | 0.824065i | \(-0.691701\pi\) | ||||
−0.566495 | + | 0.824065i | \(0.691701\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.64575 | − | 4.58258i | −0.141220 | − | 0.244600i | ||||
\(352\) | 4.02334 | − | 2.32288i | 0.214445 | − | 0.123810i | ||||
\(353\) | 12.8745i | 0.685241i | 0.939474 | + | 0.342620i | \(0.111314\pi\) | ||||
−0.939474 | + | 0.342620i | \(0.888686\pi\) | |||||||
\(354\) | 21.0000 | 1.11614 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.51844 | − | 2.03137i | −0.185955 | − | 0.107361i | ||||
\(359\) | −2.46863 | + | 4.27579i | −0.130289 | + | 0.225667i | −0.923788 | − | 0.382904i | \(-0.874924\pi\) |
0.793499 | + | 0.608572i | \(0.208257\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.3745 | − | 13.4953i | −0.703921 | − | 0.710278i | ||||
\(362\) | − | 22.2288i | − | 1.16832i | ||||||
\(363\) | −24.2487 | − | 14.0000i | −1.27273 | − | 0.734809i | ||||
\(364\) | 3.64575 | − | 6.31463i | 0.191089 | − | 0.330976i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.23987 | + | 2.14752i | −0.0648091 | + | 0.112253i | ||||
\(367\) | −14.0545 | + | 8.11438i | −0.733640 | + | 0.423567i | −0.819752 | − | 0.572718i | \(-0.805889\pi\) |
0.0861125 | + | 0.996285i | \(0.472556\pi\) | |||||||
\(368\) | − | 1.64575i | − | 0.0857907i | ||||||
\(369\) | 1.16601 | 0.0607001 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 22.9373 | + | 39.7285i | 1.19084 | + | 2.06260i | ||||
\(372\) | 14.9373i | 0.774461i | ||||||||
\(373\) | − | 4.00000i | − | 0.207112i | −0.994624 | − | 0.103556i | \(-0.966978\pi\) | ||
0.994624 | − | 0.103556i | \(-0.0330221\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.17712 | − | 3.77089i | −0.112277 | − | 0.194469i | ||||
\(377\) | 2.85052 | + | 1.64575i | 0.146810 | + | 0.0847605i | ||||
\(378\) | −8.35347 | − | 4.82288i | −0.429656 | − | 0.248062i | ||||
\(379\) | −10.7085 | −0.550059 | −0.275029 | − | 0.961436i | \(-0.588688\pi\) | ||||
−0.275029 | + | 0.961436i | \(0.588688\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −35.1660 | −1.80161 | ||||||||
\(382\) | 5.70105 | + | 3.29150i | 0.291691 | + | 0.168408i | ||||
\(383\) | −4.78068 | − | 2.76013i | −0.244282 | − | 0.141036i | 0.372861 | − | 0.927887i | \(-0.378377\pi\) |
−0.617143 | + | 0.786851i | \(0.711710\pi\) | |||||||
\(384\) | 1.32288 | + | 2.29129i | 0.0675077 | + | 0.116927i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.29150 | − | 12.6293i | −0.371128 | − | 0.642812i | ||||
\(387\) | − | 45.1660i | − | 2.29592i | ||||||
\(388\) | − | 3.70850i | − | 0.188270i | ||||||
\(389\) | 6.00000 | + | 10.3923i | 0.304212 | + | 0.526911i | 0.977086 | − | 0.212847i | \(-0.0682735\pi\) |
−0.672874 | + | 0.739758i | \(0.734940\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | − | 6.29150i | − | 0.317769i | ||||||
\(393\) | 4.43881 | − | 2.56275i | 0.223908 | − | 0.129273i | ||||
\(394\) | −3.82288 | + | 6.62141i | −0.192594 | + | 0.333582i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 9.29150 | − | 16.0934i | 0.466916 | − | 0.808721i | ||||
\(397\) | 18.2409 | + | 10.5314i | 0.915483 | + | 0.528554i | 0.882191 | − | 0.470891i | \(-0.156068\pi\) |
0.0332919 | + | 0.999446i | \(0.489401\pi\) | |||||||
\(398\) | − | 19.8745i | − | 0.996219i | ||||||
\(399\) | −25.5203 | − | 33.4139i | −1.27761 | − | 1.67279i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −13.7915 | + | 23.8876i | −0.688715 | + | 1.19289i | 0.283539 | + | 0.958961i | \(0.408491\pi\) |
−0.972254 | + | 0.233928i | \(0.924842\pi\) | |||||||
\(402\) | 1.47960 | + | 0.854249i | 0.0737958 | + | 0.0426061i | ||||
\(403\) | −9.77873 | + | 5.64575i | −0.487113 | + | 0.281235i | ||||
\(404\) | −6.82288 | + | 11.8176i | −0.339451 | + | 0.587946i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | 1.64575i | 0.0815769i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.79150 | − | 6.56708i | −0.187478 | − | 0.324721i | 0.756931 | − | 0.653495i | \(-0.226698\pi\) |
−0.944409 | + | 0.328774i | \(0.893365\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 41.2288 | 2.03366 | ||||||||
\(412\) | 11.5108 | − | 6.64575i | 0.567095 | − | 0.327413i | ||||
\(413\) | 25.0604 | + | 14.4686i | 1.23314 | + | 0.711955i | ||||
\(414\) | −3.29150 | − | 5.70105i | −0.161769 | − | 0.280191i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.00000 | + | 1.73205i | −0.0490290 | + | 0.0849208i | ||||
\(417\) | − | 49.3320i | − | 2.41580i | ||||||
\(418\) | 16.0934 | − | 12.2915i | 0.787152 | − | 0.601197i | ||||
\(419\) | 31.7490 | 1.55104 | 0.775520 | − | 0.631322i | \(-0.217488\pi\) | ||||
0.775520 | + | 0.631322i | \(0.217488\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.4059 | − | 21.4876i | 0.604626 | − | 1.04724i | −0.387485 | − | 0.921876i | \(-0.626656\pi\) |
0.992111 | − | 0.125366i | \(-0.0400106\pi\) | |||||||
\(422\) | 11.5108 | − | 6.64575i | 0.560336 | − | 0.323510i | ||||
\(423\) | −15.0836 | − | 8.70850i | −0.733388 | − | 0.423422i | ||||
\(424\) | −6.29150 | − | 10.8972i | −0.305542 | − | 0.529215i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −7.16601 | −0.347194 | ||||||||
\(427\) | −2.95920 | + | 1.70850i | −0.143206 | + | 0.0826800i | ||||
\(428\) | 13.2428 | − | 7.64575i | 0.640116 | − | 0.369571i | ||||
\(429\) | 24.5830 | 1.18688 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.9373 | − | 24.1400i | −0.671334 | − | 1.16278i | −0.977526 | − | 0.210815i | \(-0.932388\pi\) |
0.306192 | − | 0.951970i | \(-0.400945\pi\) | |||||||
\(432\) | 2.29129 | + | 1.32288i | 0.110240 | + | 0.0636469i | ||||
\(433\) | 15.4798 | − | 8.93725i | 0.743911 | − | 0.429497i | −0.0795788 | − | 0.996829i | \(-0.525358\pi\) |
0.823489 | + | 0.567332i | \(0.192024\pi\) | |||||||
\(434\) | −10.2915 | + | 17.8254i | −0.494008 | + | 0.855647i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.5830 | 0.698399 | ||||||||
\(437\) | −0.920365 | − | 7.11438i | −0.0440270 | − | 0.340327i | ||||
\(438\) | 4.52026i | 0.215986i | ||||||||
\(439\) | 5.40588 | − | 9.36326i | 0.258009 | − | 0.446884i | −0.707700 | − | 0.706513i | \(-0.750267\pi\) |
0.965708 | + | 0.259629i | \(0.0836004\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.5830 | − | 21.7944i | −0.599191 | − | 1.03783i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.21949 | − | 5.32288i | 0.438031 | − | 0.252897i | −0.264731 | − | 0.964322i | \(-0.585283\pi\) |
0.702762 | + | 0.711425i | \(0.251950\pi\) | |||||||
\(444\) | −0.937254 | −0.0444801 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 9.40588 | + | 16.2915i | 0.445381 | + | 0.771423i | ||||
\(447\) | −25.0604 | + | 14.4686i | −1.18532 | + | 0.684343i | ||||
\(448\) | 3.64575i | 0.172246i | ||||||||
\(449\) | 24.2915 | 1.14639 | 0.573193 | − | 0.819420i | \(-0.305704\pi\) | ||||
0.573193 | + | 0.819420i | \(0.305704\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.677124 | + | 1.17281i | −0.0318845 | + | 0.0552256i | ||||
\(452\) | 13.4953 | − | 7.79150i | 0.634765 | − | 0.366481i | ||||
\(453\) | −29.6430 | − | 17.1144i | −1.39275 | − | 0.804104i | ||||
\(454\) | −3.67712 | + | 6.36897i | −0.172576 | + | 0.298910i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.00000 | + | 9.16515i | 0.327805 | + | 0.429198i | ||||
\(457\) | − | 32.8745i | − | 1.53780i | −0.639366 | − | 0.768902i | \(-0.720803\pi\) | ||
0.639366 | − | 0.768902i | \(-0.279197\pi\) | |||||||
\(458\) | −17.3205 | − | 10.0000i | −0.809334 | − | 0.467269i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.58301 | + | 16.5983i | −0.446325 | + | 0.773058i | −0.998143 | − | 0.0609066i | \(-0.980601\pi\) |
0.551818 | + | 0.833964i | \(0.313934\pi\) | |||||||
\(462\) | 38.8081 | − | 22.4059i | 1.80552 | − | 1.04242i | ||||
\(463\) | − | 38.4575i | − | 1.78727i | −0.448792 | − | 0.893636i | \(-0.648146\pi\) | ||
0.448792 | − | 0.893636i | \(-0.351854\pi\) | |||||||
\(464\) | −1.64575 | −0.0764021 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.43725 | − | 16.3458i | −0.437172 | − | 0.757205i | ||||
\(467\) | 19.3542i | 0.895608i | 0.894132 | + | 0.447804i | \(0.147794\pi\) | ||||
−0.894132 | + | 0.447804i | \(0.852206\pi\) | |||||||
\(468\) | 8.00000i | 0.369800i | ||||||||
\(469\) | 1.17712 | + | 2.03884i | 0.0543546 | + | 0.0941448i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 14.0000 | + | 24.2487i | 0.645086 | + | 1.11732i | ||||
\(472\) | −6.87386 | − | 3.96863i | −0.316395 | − | 0.182671i | ||||
\(473\) | 45.4295 | + | 26.2288i | 2.08885 | + | 1.20600i | ||||
\(474\) | 10.5830 | 0.486094 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −43.5888 | − | 25.1660i | −1.99579 | − | 1.15227i | ||||
\(478\) | 10.3923 | + | 6.00000i | 0.475333 | + | 0.274434i | ||||
\(479\) | 3.29150 | + | 5.70105i | 0.150393 | + | 0.260488i | 0.931372 | − | 0.364069i | \(-0.118613\pi\) |
−0.780979 | + | 0.624557i | \(0.785280\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.354249 | − | 0.613577i | −0.0161523 | − | 0.0279767i | ||||
\(482\) | 7.58301i | 0.345396i | ||||||||
\(483\) | − | 15.8745i | − | 0.722315i | ||||||
\(484\) | 5.29150 | + | 9.16515i | 0.240523 | + | 0.416598i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −21.1660 | −0.960110 | ||||||||
\(487\) | − | 4.22876i | − | 0.191623i | −0.995399 | − | 0.0958116i | \(-0.969455\pi\) | ||
0.995399 | − | 0.0958116i | \(-0.0305446\pi\) | |||||||
\(488\) | 0.811686 | − | 0.468627i | 0.0367433 | − | 0.0212137i | ||||
\(489\) | 5.20850 | − | 9.02138i | 0.235536 | − | 0.407961i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.6458 | + | 34.0274i | −0.886600 | + | 1.53564i | −0.0427320 | + | 0.999087i | \(0.513606\pi\) |
−0.843868 | + | 0.536550i | \(0.819727\pi\) | |||||||
\(492\) | −0.667916 | − | 0.385622i | −0.0301120 | − | 0.0173852i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −3.35425 | + | 8.04668i | −0.150915 | + | 0.362037i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.82288 | − | 4.88936i | 0.126751 | − | 0.219539i | ||||
\(497\) | −8.55157 | − | 4.93725i | −0.383591 | − | 0.221466i | ||||
\(498\) | 18.1865 | − | 10.5000i | 0.814958 | − | 0.470516i | ||||
\(499\) | −2.38562 | + | 4.13202i | −0.106795 | + | 0.184975i | −0.914470 | − | 0.404653i | \(-0.867392\pi\) |
0.807675 | + | 0.589628i | \(0.200726\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −31.7490 | −1.41844 | ||||||||
\(502\) | − | 29.2288i | − | 1.30454i | ||||||
\(503\) | −35.4527 | + | 20.4686i | −1.58076 | + | 0.912651i | −0.586009 | + | 0.810305i | \(0.699302\pi\) |
−0.994749 | + | 0.102346i | \(0.967365\pi\) | |||||||
\(504\) | 7.29150 | + | 12.6293i | 0.324789 | + | 0.562552i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 7.64575 | 0.339895 | ||||||||
\(507\) | 20.6216 | − | 11.9059i | 0.915837 | − | 0.528759i | ||||
\(508\) | 11.5108 | + | 6.64575i | 0.510708 | + | 0.294858i | ||||
\(509\) | −15.8745 | − | 27.4955i | −0.703625 | − | 1.21871i | −0.967185 | − | 0.254072i | \(-0.918230\pi\) |
0.263560 | − | 0.964643i | \(-0.415103\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.11438 | + | 5.39426i | −0.137772 | + | 0.238628i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 10.6448 | + | 4.43725i | 0.469977 | + | 0.195910i | ||||
\(514\) | −12.2915 | −0.542155 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −14.9373 | + | 25.8721i | −0.657576 | + | 1.13895i | ||||
\(517\) | 17.5186 | − | 10.1144i | 0.770468 | − | 0.444830i | ||||
\(518\) | −1.11847 | − | 0.645751i | −0.0491429 | − | 0.0283727i | ||||
\(519\) | −7.93725 | − | 13.7477i | −0.348407 | − | 0.603458i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.7085 | −0.512959 | −0.256479 | − | 0.966550i | \(-0.582563\pi\) | ||||
−0.256479 | + | 0.966550i | \(0.582563\pi\) | |||||||
\(522\) | −5.70105 | + | 3.29150i | −0.249528 | + | 0.144065i | ||||
\(523\) | −1.62337 | + | 0.937254i | −0.0709851 | + | 0.0409833i | −0.535072 | − | 0.844806i | \(-0.679716\pi\) |
0.464087 | + | 0.885789i | \(0.346382\pi\) | |||||||
\(524\) | −1.93725 | −0.0846293 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.46863 | + | 9.47194i | 0.238443 | + | 0.412996i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −10.6448 | + | 6.14575i | −0.463253 | + | 0.267459i | ||||
\(529\) | −10.1458 | + | 17.5730i | −0.441120 | + | 0.764042i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −31.7490 | −1.37779 | ||||||||
\(532\) | 2.03884 | + | 15.7601i | 0.0883949 | + | 0.683288i | ||||
\(533\) | − | 0.583005i | − | 0.0252528i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.322876 | − | 0.559237i | −0.0139461 | − | 0.0241554i | ||||
\(537\) | 9.30892 | + | 5.37451i | 0.401710 | + | 0.231927i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 29.2288 | 1.25897 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.00000 | − | 6.92820i | −0.171973 | − | 0.297867i | 0.767136 | − | 0.641484i | \(-0.221681\pi\) |
−0.939110 | + | 0.343617i | \(0.888348\pi\) | |||||||
\(542\) | −10.6991 | + | 6.17712i | −0.459565 | + | 0.265330i | ||||
\(543\) | 58.8118i | 2.52385i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −9.64575 | + | 16.7069i | −0.412800 | + | 0.714991i | ||||
\(547\) | −9.77873 | + | 5.64575i | −0.418108 | + | 0.241395i | −0.694268 | − | 0.719717i | \(-0.744272\pi\) |
0.276159 | + | 0.961112i | \(0.410938\pi\) | |||||||
\(548\) | −13.4953 | − | 7.79150i | −0.576490 | − | 0.332836i | ||||
\(549\) | 1.87451 | − | 3.24674i | 0.0800020 | − | 0.138568i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.11438 | + | 0.920365i | −0.303083 | + | 0.0392089i | ||||
\(552\) | 4.35425i | 0.185329i | ||||||||
\(553\) | 12.6293 | + | 7.29150i | 0.537050 | + | 0.310066i | ||||
\(554\) | −13.7601 | + | 23.8332i | −0.584612 | + | 1.01258i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.32288 | + | 16.1477i | −0.395378 | + | 0.684815i | ||||
\(557\) | 4.69126 | − | 2.70850i | 0.198775 | − | 0.114763i | −0.397309 | − | 0.917685i | \(-0.630056\pi\) |
0.596084 | + | 0.802922i | \(0.296723\pi\) | |||||||
\(558\) | − | 22.5830i | − | 0.956015i | ||||||
\(559\) | −22.5830 | −0.955159 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 25.4575i | − | 1.07386i | ||||||
\(563\) | 10.0627i | 0.424094i | 0.977259 | + | 0.212047i | \(0.0680130\pi\) | ||||
−0.977259 | + | 0.212047i | \(0.931987\pi\) | |||||||
\(564\) | 5.76013 | + | 9.97684i | 0.242545 | + | 0.420101i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.3229 | − | 26.5400i | −0.644069 | − | 1.11556i | ||||
\(567\) | −15.7866 | − | 9.11438i | −0.662973 | − | 0.382768i | ||||
\(568\) | 2.34563 | + | 1.35425i | 0.0984203 | + | 0.0568230i | ||||
\(569\) | −6.58301 | −0.275974 | −0.137987 | − | 0.990434i | \(-0.544063\pi\) | ||||
−0.137987 | + | 0.990434i | \(0.544063\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.81176 | 0.326912 | 0.163456 | − | 0.986551i | \(-0.447736\pi\) | ||||
0.163456 | + | 0.986551i | \(0.447736\pi\) | |||||||
\(572\) | −8.04668 | − | 4.64575i | −0.336448 | − | 0.194249i | ||||
\(573\) | −15.0836 | − | 8.70850i | −0.630125 | − | 0.363803i | ||||
\(574\) | −0.531373 | − | 0.920365i | −0.0221791 | − | 0.0384153i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.00000 | − | 3.46410i | −0.0833333 | − | 0.144338i | ||||
\(577\) | − | 11.0000i | − | 0.457936i | −0.973434 | − | 0.228968i | \(-0.926465\pi\) | ||
0.973434 | − | 0.228968i | \(-0.0735351\pi\) | |||||||
\(578\) | − | 17.0000i | − | 0.707107i | ||||||
\(579\) | 19.2915 | + | 33.4139i | 0.801727 | + | 1.38863i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 28.9373 | 1.20052 | ||||||||
\(582\) | 9.81176i | 0.406711i | ||||||||
\(583\) | 50.6257 | − | 29.2288i | 2.09670 | − | 1.21053i | ||||
\(584\) | 0.854249 | − | 1.47960i | 0.0353491 | − | 0.0612264i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.4686 | + | 25.0604i | −0.597693 | + | 1.03524i | ||||
\(587\) | −12.2330 | − | 7.06275i | −0.504911 | − | 0.291511i | 0.225828 | − | 0.974167i | \(-0.427491\pi\) |
−0.730739 | + | 0.682656i | \(0.760825\pi\) | |||||||
\(588\) | 16.6458i | 0.686459i | ||||||||
\(589\) | 9.46863 | − | 22.7148i | 0.390148 | − | 0.935946i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.1144 | − | 17.5186i | 0.416050 | − | 0.720620i | ||||
\(592\) | 0.306788 | + | 0.177124i | 0.0126089 | + | 0.00727977i | ||||
\(593\) | 25.7283 | − | 14.8542i | 1.05654 | − | 0.609991i | 0.132063 | − | 0.991241i | \(-0.457840\pi\) |
0.924472 | + | 0.381250i | \(0.124506\pi\) | |||||||
\(594\) | −6.14575 | + | 10.6448i | −0.252163 | + | 0.436760i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.9373 | 0.448007 | ||||||||
\(597\) | 52.5830i | 2.15208i | ||||||||
\(598\) | −2.85052 | + | 1.64575i | −0.116567 | + | 0.0672998i | ||||
\(599\) | −8.46863 | − | 14.6681i | −0.346019 | − | 0.599322i | 0.639520 | − | 0.768775i | \(-0.279133\pi\) |
−0.985538 | + | 0.169453i | \(0.945800\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.4170 | 0.424918 | 0.212459 | − | 0.977170i | \(-0.431853\pi\) | ||||
0.212459 | + | 0.977170i | \(0.431853\pi\) | |||||||
\(602\) | −35.6508 | + | 20.5830i | −1.45302 | + | 0.838901i | ||||
\(603\) | −2.23695 | − | 1.29150i | −0.0910956 | − | 0.0525941i | ||||
\(604\) | 6.46863 | + | 11.2040i | 0.263205 | + | 0.455884i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 18.0516 | − | 31.2663i | 0.733297 | − | 1.27011i | ||||
\(607\) | − | 6.93725i | − | 0.281574i | −0.990040 | − | 0.140787i | \(-0.955037\pi\) | ||
0.990040 | − | 0.140787i | \(-0.0449633\pi\) | |||||||
\(608\) | −0.559237 | − | 4.32288i | −0.0226801 | − | 0.175316i | ||||
\(609\) | −15.8745 | −0.643268 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.35425 | + | 7.54178i | −0.176154 | + | 0.305108i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.42331 | − | 3.70850i | −0.259435 | − | 0.149785i | 0.364642 | − | 0.931148i | \(-0.381191\pi\) |
−0.624077 | + | 0.781363i | \(0.714525\pi\) | |||||||
\(614\) | 0.322876 | + | 0.559237i | 0.0130302 | + | 0.0225690i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.9373 | −0.682421 | ||||||||
\(617\) | 26.7381 | − | 15.4373i | 1.07644 | − | 0.621480i | 0.146503 | − | 0.989210i | \(-0.453198\pi\) |
0.929933 | + | 0.367730i | \(0.119865\pi\) | |||||||
\(618\) | −30.4547 | + | 17.5830i | −1.22507 | + | 0.707292i | ||||
\(619\) | 8.45751 | 0.339936 | 0.169968 | − | 0.985450i | \(-0.445634\pi\) | ||||
0.169968 | + | 0.985450i | \(0.445634\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.17712 | + | 3.77089i | 0.0873650 | + | 0.151321i | ||||
\(622\) | 11.8176 | + | 6.82288i | 0.473841 | + | 0.273572i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 2.64575 | − | 4.58258i | 0.105915 | − | 0.183450i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.87451 | 0.354697 | ||||||||
\(627\) | −42.5790 | + | 32.5203i | −1.70044 | + | 1.29873i | ||||
\(628\) | − | 10.5830i | − | 0.422308i | ||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.4059 | + | 21.4876i | 0.493870 | + | 0.855408i | 0.999975 | − | 0.00706354i | \(-0.00224841\pi\) |
−0.506105 | + | 0.862472i | \(0.668915\pi\) | |||||||
\(632\) | −3.46410 | − | 2.00000i | −0.137795 | − | 0.0795557i | ||||
\(633\) | −30.4547 | + | 17.5830i | −1.21046 | + | 0.698862i | ||||
\(634\) | 6.00000 | 0.238290 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 16.6458 | + | 28.8313i | 0.660047 | + | 1.14323i | ||||
\(637\) | −10.8972 | + | 6.29150i | −0.431763 | + | 0.249278i | ||||
\(638\) | − | 7.64575i | − | 0.302698i | ||||||
\(639\) | 10.8340 | 0.428586 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.43725 | + | 11.1497i | −0.254256 | + | 0.440385i | −0.964693 | − | 0.263376i | \(-0.915164\pi\) |
0.710437 | + | 0.703761i | \(0.248497\pi\) | |||||||
\(642\) | −35.0372 | + | 20.2288i | −1.38281 | + | 0.798365i | ||||
\(643\) | 5.64671 | + | 3.26013i | 0.222685 | + | 0.128567i | 0.607193 | − | 0.794555i | \(-0.292296\pi\) |
−0.384508 | + | 0.923122i | \(0.625629\pi\) | |||||||
\(644\) | −3.00000 | + | 5.19615i | −0.118217 | + | 0.204757i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 22.4575i | 0.882896i | 0.897287 | + | 0.441448i | \(0.145535\pi\) | ||||
−0.897287 | + | 0.441448i | \(0.854465\pi\) | |||||||
\(648\) | 4.33013 | + | 2.50000i | 0.170103 | + | 0.0982093i | ||||
\(649\) | 18.4373 | − | 31.9343i | 0.723726 | − | 1.25353i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 27.2288 | − | 47.1616i | 1.06718 | − | 1.84841i | ||||
\(652\) | −3.40976 | + | 1.96863i | −0.133537 | + | 0.0770974i | ||||
\(653\) | 24.0000i | 0.939193i | 0.882881 | + | 0.469596i | \(0.155601\pi\) | ||||
−0.882881 | + | 0.469596i | \(0.844399\pi\) | |||||||
\(654\) | −38.5830 | −1.50871 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.145751 | + | 0.252449i | 0.00569063 | + | 0.00985646i | ||||
\(657\) | − | 6.83399i | − | 0.266619i | ||||||
\(658\) | 15.8745i | 0.618853i | ||||||||
\(659\) | −9.29150 | − | 16.0934i | −0.361946 | − | 0.626908i | 0.626335 | − | 0.779554i | \(-0.284554\pi\) |
−0.988281 | + | 0.152646i | \(0.951221\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.11438 | − | 14.0545i | −0.315613 | − | 0.546657i | 0.663955 | − | 0.747773i | \(-0.268877\pi\) |
−0.979568 | + | 0.201115i | \(0.935543\pi\) | |||||||
\(662\) | 17.1575 | + | 9.90588i | 0.666845 | + | 0.385003i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.93725 | −0.308025 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.41699 | 0.0549074 | ||||||||
\(667\) | −2.34563 | − | 1.35425i | −0.0908231 | − | 0.0524367i | ||||
\(668\) | 10.3923 | + | 6.00000i | 0.402090 | + | 0.232147i | ||||
\(669\) | −24.8856 | − | 43.1032i | −0.962134 | − | 1.66646i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.17712 | + | 3.77089i | 0.0840470 | + | 0.145574i | ||||
\(672\) | − | 9.64575i | − | 0.372093i | ||||||
\(673\) | − | 13.8745i | − | 0.534823i | −0.963582 | − | 0.267411i | \(-0.913832\pi\) | ||
0.963582 | − | 0.267411i | \(-0.0861683\pi\) | |||||||
\(674\) | −4.85425 | − | 8.40781i | −0.186979 | − | 0.323857i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | 11.4170i | 0.438791i | 0.975636 | + | 0.219395i | \(0.0704085\pi\) | ||||
−0.975636 | + | 0.219395i | \(0.929592\pi\) | |||||||
\(678\) | −35.7052 | + | 20.6144i | −1.37125 | + | 0.791690i | ||||
\(679\) | −6.76013 | + | 11.7089i | −0.259430 | + | 0.449346i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 9.72876 | − | 16.8507i | 0.372807 | − | 0.645720i | ||||
\(682\) | 22.7148 | + | 13.1144i | 0.869793 | + | 0.502175i | ||||
\(683\) | − | 5.41699i | − | 0.207276i | −0.994615 | − | 0.103638i | \(-0.966952\pi\) | ||
0.994615 | − | 0.103638i | \(-0.0330483\pi\) | |||||||
\(684\) | −10.5830 | − | 13.8564i | −0.404651 | − | 0.529813i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 1.29150 | − | 2.23695i | 0.0493098 | − | 0.0854071i | ||||
\(687\) | 45.8258 | + | 26.4575i | 1.74836 | + | 1.00942i | ||||
\(688\) | 9.77873 | − | 5.64575i | 0.372811 | − | 0.215242i | ||||
\(689\) | −12.5830 | + | 21.7944i | −0.479374 | + | 0.830301i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.58301 | 0.0982622 | 0.0491311 | − | 0.998792i | \(-0.484355\pi\) | ||||
0.0491311 | + | 0.998792i | \(0.484355\pi\) | |||||||
\(692\) | 6.00000i | 0.228086i | ||||||||
\(693\) | −58.6724 | + | 33.8745i | −2.22878 | + | 1.28679i | ||||
\(694\) | −11.6144 | − | 20.1167i | −0.440876 | − | 0.763619i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 4.35425 | 0.165047 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −18.3303 | − | 10.5830i | −0.693812 | − | 0.400573i | ||||
\(699\) | 24.9686 | + | 43.2469i | 0.944400 | + | 1.63575i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5.17712 | + | 8.96704i | −0.195537 | + | 0.338681i | −0.947077 | − | 0.321008i | \(-0.895978\pi\) |
0.751539 | + | 0.659688i | \(0.229312\pi\) | |||||||
\(702\) | − | 5.29150i | − | 0.199715i | ||||||
\(703\) | 1.42526 | + | 0.594119i | 0.0537548 | + | 0.0224076i | ||||
\(704\) | 4.64575 | 0.175093 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.43725 | + | 11.1497i | −0.242269 | + | 0.419623i | ||||
\(707\) | 43.0839 | − | 24.8745i | 1.62034 | − | 0.935502i | ||||
\(708\) | 18.1865 | + | 10.5000i | 0.683492 | + | 0.394614i | ||||
\(709\) | 1.82288 | + | 3.15731i | 0.0684595 | + | 0.118575i | 0.898223 | − | 0.439539i | \(-0.144858\pi\) |
−0.829764 | + | 0.558115i | \(0.811525\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −16.0000 | −0.600047 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.04668 | − | 4.64575i | 0.301350 | − | 0.173985i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.03137 | − | 3.51844i | −0.0759160 | − | 0.131490i | ||||
\(717\) | −27.4955 | − | 15.8745i | −1.02684 | − | 0.592844i | ||||
\(718\) | −4.27579 | + | 2.46863i | −0.159571 | + | 0.0921283i | ||||
\(719\) | 1.35425 | − | 2.34563i | 0.0505050 | − | 0.0874771i | −0.839668 | − | 0.543100i | \(-0.817250\pi\) |
0.890173 | + | 0.455623i | \(0.150584\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −48.4575 | −1.80465 | ||||||||
\(722\) | −4.83502 | − | 18.3745i | −0.179941 | − | 0.683828i | ||||
\(723\) | − | 20.0627i | − | 0.746142i | ||||||
\(724\) | 11.1144 | − | 19.2507i | 0.413063 | − | 0.715445i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −14.0000 | − | 24.2487i | −0.519589 | − | 0.899954i | ||||
\(727\) | 1.22715 | + | 0.708497i | 0.0455126 | + | 0.0262767i | 0.522584 | − | 0.852588i | \(-0.324968\pi\) |
−0.477071 | + | 0.878865i | \(0.658302\pi\) | |||||||
\(728\) | 6.31463 | − | 3.64575i | 0.234036 | − | 0.135121i | ||||
\(729\) | 41.0000 | 1.51852 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −2.14752 | + | 1.23987i | −0.0793746 | + | 0.0458269i | ||||
\(733\) | − | 16.1033i | − | 0.594788i | −0.954755 | − | 0.297394i | \(-0.903883\pi\) | ||
0.954755 | − | 0.297394i | \(-0.0961174\pi\) | |||||||
\(734\) | −16.2288 | −0.599014 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.822876 | − | 1.42526i | 0.0303316 | − | 0.0525359i | ||||
\(737\) | 2.59808 | − | 1.50000i | 0.0957014 | − | 0.0552532i | ||||
\(738\) | 1.00979 | + | 0.583005i | 0.0371711 | + | 0.0214607i | ||||
\(739\) | −16.9059 | + | 29.2818i | −0.621893 | + | 1.07715i | 0.367240 | + | 0.930126i | \(0.380303\pi\) |
−0.989133 | + | 0.147024i | \(0.953031\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.87451 | − | 21.2895i | 0.326013 | − | 0.782090i | ||||
\(742\) | 45.8745i | 1.68411i | ||||||||
\(743\) | 41.1538 | + | 23.7601i | 1.50978 | + | 0.871675i | 0.999935 | + | 0.0114112i | \(0.00363237\pi\) |
0.509850 | + | 0.860263i | \(0.329701\pi\) | |||||||
\(744\) | −7.46863 | + | 12.9360i | −0.273813 | + | 0.474258i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.00000 | − | 3.46410i | 0.0732252 | − | 0.126830i | ||||
\(747\) | −27.4955 | + | 15.8745i | −1.00601 | + | 0.580818i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −55.7490 | −2.03702 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.93725 | + | 6.81952i | 0.143672 | + | 0.248848i | 0.928877 | − | 0.370389i | \(-0.120775\pi\) |
−0.785204 | + | 0.619237i | \(0.787442\pi\) | |||||||
\(752\) | − | 4.35425i | − | 0.158783i | ||||||
\(753\) | 77.3320i | 2.81814i | ||||||||
\(754\) | 1.64575 | + | 2.85052i | 0.0599347 | + | 0.103810i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.82288 | − | 8.35347i | −0.175406 | − | 0.303813i | ||||
\(757\) | −3.96900 | − | 2.29150i | −0.144256 | − | 0.0832861i | 0.426135 | − | 0.904660i | \(-0.359875\pi\) |
−0.570391 | + | 0.821374i | \(0.693208\pi\) | |||||||
\(758\) | −9.27383 | − | 5.35425i | −0.336841 | − | 0.194475i | ||||
\(759\) | −20.2288 | −0.734257 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.8745 | 1.55420 | 0.777100 | − | 0.629377i | \(-0.216690\pi\) | ||||
0.777100 | + | 0.629377i | \(0.216690\pi\) | |||||||
\(762\) | −30.4547 | − | 17.5830i | −1.10326 | − | 0.636965i | ||||
\(763\) | −46.0431 | − | 26.5830i | −1.66687 | − | 0.962369i | ||||
\(764\) | 3.29150 | + | 5.70105i | 0.119082 | + | 0.206257i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.76013 | − | 4.78068i | −0.0997275 | − | 0.172733i | ||||
\(767\) | 15.8745i | 0.573195i | ||||||||
\(768\) | 2.64575i | 0.0954703i | ||||||||
\(769\) | 17.6458 | + | 30.5633i | 0.636322 | + | 1.10214i | 0.986233 | + | 0.165359i | \(0.0528784\pi\) |
−0.349911 | + | 0.936783i | \(0.613788\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 32.5203 | 1.17119 | ||||||||
\(772\) | − | 14.5830i | − | 0.524854i | ||||||
\(773\) | −4.27579 | + | 2.46863i | −0.153789 | + | 0.0887903i | −0.574920 | − | 0.818210i | \(-0.694967\pi\) |
0.421130 | + | 0.907000i | \(0.361633\pi\) | |||||||
\(774\) | 22.5830 | − | 39.1149i | 0.811729 | − | 1.40596i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.85425 | − | 3.21165i | 0.0665636 | − | 0.115292i | ||||
\(777\) | 2.95920 | + | 1.70850i | 0.106161 | + | 0.0612920i | ||||
\(778\) | 12.0000i | 0.430221i | ||||||||
\(779\) | 0.771243 | + | 1.00979i | 0.0276327 | + | 0.0361796i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.29150 | + | 10.8972i | −0.225128 | + | 0.389933i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.77089 | − | 2.17712i | 0.134761 | − | 0.0778041i | ||||
\(784\) | 3.14575 | − | 5.44860i | 0.112348 | − | 0.194593i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 5.12549 | 0.182820 | ||||||||
\(787\) | 42.5203i | 1.51568i | 0.652438 | + | 0.757842i | \(0.273746\pi\) | ||||
−0.652438 | + | 0.757842i | \(0.726254\pi\) | |||||||
\(788\) | −6.62141 | + | 3.82288i | −0.235878 | + | 0.136184i | ||||
\(789\) | −14.4686 | − | 25.0604i | −0.515097 | − | 0.892174i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −56.8118 | −2.01999 | ||||||||
\(792\) | 16.0934 | − | 9.29150i | 0.571852 | − | 0.330159i | ||||
\(793\) | −1.62337 | − | 0.937254i | −0.0576476 | − | 0.0332829i | ||||
\(794\) | 10.5314 | + | 18.2409i | 0.373744 | + | 0.647344i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.93725 | − | 17.2118i | 0.352217 | − | 0.610057i | ||||
\(797\) | 44.8118i | 1.58731i | 0.608365 | + | 0.793657i | \(0.291826\pi\) | ||||
−0.608365 | + | 0.793657i | \(0.708174\pi\) | |||||||
\(798\) | −5.39426 | − | 41.6974i | −0.190955 | − | 1.47607i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −23.8876 | + | 13.7915i | −0.843500 | + | 0.486995i | ||||
\(803\) | 6.87386 | + | 3.96863i | 0.242573 | + | 0.140050i | ||||
\(804\) | 0.854249 | + | 1.47960i | 0.0301270 | + | 0.0521815i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −11.2915 | −0.397726 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −11.8176 | + | 6.82288i | −0.415741 | + | 0.240028i | ||||
\(809\) | 9.00000 | 0.316423 | 0.158212 | − | 0.987405i | \(-0.449427\pi\) | ||||
0.158212 | + | 0.987405i | \(0.449427\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 15.6458 | + | 27.0992i | 0.549397 | + | 0.951583i | 0.998316 | + | 0.0580106i | \(0.0184757\pi\) |
−0.448919 | + | 0.893572i | \(0.648191\pi\) | |||||||
\(812\) | 5.19615 | + | 3.00000i | 0.182349 | + | 0.105279i | ||||
\(813\) | 28.3071 | − | 16.3431i | 0.992775 | − | 0.573179i | ||||
\(814\) | −0.822876 | + | 1.42526i | −0.0288418 | + | 0.0499554i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 39.1149 | − | 29.8745i | 1.36846 | − | 1.04518i | ||||
\(818\) | − | 7.58301i | − | 0.265134i | ||||||
\(819\) | 14.5830 | − | 25.2585i | 0.509571 | − | 0.882604i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.00000 | + | 5.19615i | 0.104701 | + | 0.181347i | 0.913616 | − | 0.406578i | \(-0.133278\pi\) |
−0.808915 | + | 0.587925i | \(0.799945\pi\) | |||||||
\(822\) | 35.7052 | + | 20.6144i | 1.24536 | + | 0.719009i | ||||
\(823\) | −27.6041 | + | 15.9373i | −0.962220 | + | 0.555538i | −0.896855 | − | 0.442324i | \(-0.854154\pi\) |
−0.0653641 | + | 0.997861i | \(0.520821\pi\) | |||||||
\(824\) | 13.2915 | 0.463031 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 14.4686 | + | 25.0604i | 0.503428 | + | 0.871963i | ||||
\(827\) | 45.5926 | − | 26.3229i | 1.58541 | − | 0.915336i | 0.591359 | − | 0.806408i | \(-0.298592\pi\) |
0.994050 | − | 0.108928i | \(-0.0347417\pi\) | |||||||
\(828\) | − | 6.58301i | − | 0.228775i | ||||||
\(829\) | 17.1660 | 0.596200 | 0.298100 | − | 0.954535i | \(-0.403647\pi\) | ||||
0.298100 | + | 0.954535i | \(0.403647\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 36.4059 | − | 63.0568i | 1.26291 | − | 2.18742i | ||||
\(832\) | −1.73205 | + | 1.00000i | −0.0600481 | + | 0.0346688i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 24.6660 | − | 42.7228i | 0.854114 | − | 1.47937i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 20.0830 | − | 2.59808i | 0.694585 | − | 0.0898563i | ||||
\(837\) | 14.9373i | 0.516307i | ||||||||
\(838\) | 27.4955 | + | 15.8745i | 0.949815 | + | 0.548376i | ||||
\(839\) | −20.7601 | + | 35.9576i | −0.716719 | + | 1.24139i | 0.245573 | + | 0.969378i | \(0.421024\pi\) |
−0.962293 | + | 0.272016i | \(0.912310\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.1458 | − | 22.7691i | 0.453302 | − | 0.785142i | ||||
\(842\) | 21.4876 | − | 12.4059i | 0.740512 | − | 0.427535i | ||||
\(843\) | 67.3542i | 2.31980i | ||||||||
\(844\) | 13.2915 | 0.457512 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.70850 | − | 15.0836i | −0.299404 | − | 0.518583i | ||||
\(847\) | − | 38.5830i | − | 1.32573i | ||||||
\(848\) | − | 12.5830i | − | 0.432102i | ||||||
\(849\) | 40.5405 | + | 70.2182i | 1.39135 | + | 2.40988i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.291503 | + | 0.504897i | 0.00999258 | + | 0.0173077i | ||||
\(852\) | −6.20595 | − | 3.58301i | −0.212612 | − | 0.122752i | ||||
\(853\) | −7.43310 | − | 4.29150i | −0.254505 | − | 0.146938i | 0.367321 | − | 0.930094i | \(-0.380275\pi\) |
−0.621825 | + | 0.783156i | \(0.713609\pi\) | |||||||
\(854\) | −3.41699 | −0.116927 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 15.2915 | 0.522653 | ||||||||
\(857\) | 18.1865 | + | 10.5000i | 0.621240 | + | 0.358673i | 0.777352 | − | 0.629066i | \(-0.216563\pi\) |
−0.156112 | + | 0.987739i | \(0.549896\pi\) | |||||||
\(858\) | 21.2895 | + | 12.2915i | 0.726812 | + | 0.419625i | ||||
\(859\) | 6.61438 | + | 11.4564i | 0.225680 | + | 0.390889i | 0.956523 | − | 0.291656i | \(-0.0942064\pi\) |
−0.730843 | + | 0.682545i | \(0.760873\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.40588 | + | 2.43506i | 0.0479123 | + | 0.0829865i | ||||
\(862\) | − | 27.8745i | − | 0.949410i | ||||||
\(863\) | − | 31.0627i | − | 1.05739i | −0.848812 | − | 0.528694i | \(-0.822682\pi\) | ||
0.848812 | − | 0.528694i | \(-0.177318\pi\) | |||||||
\(864\) | 1.32288 | + | 2.29129i | 0.0450051 | + | 0.0779512i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 17.8745 | 0.607401 | ||||||||
\(867\) | 44.9778i | 1.52753i | ||||||||
\(868\) | −17.8254 | + | 10.2915i | −0.605034 | + | 0.349316i | ||||
\(869\) | 9.29150 | − | 16.0934i | 0.315193 | − | 0.545930i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.645751 | + | 1.11847i | −0.0218804 | + | 0.0378980i | ||||
\(872\) | 12.6293 | + | 7.29150i | 0.427680 | + | 0.246921i | ||||
\(873\) | − | 14.8340i | − | 0.502054i | ||||||
\(874\) | 2.76013 | − | 6.62141i | 0.0933628 | − | 0.223973i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.26013 | + | 3.91466i | −0.0763627 | + | 0.132264i | ||||
\(877\) | −36.0663 | − | 20.8229i | −1.21787 | − | 0.703139i | −0.253409 | − | 0.967359i | \(-0.581552\pi\) |
−0.964462 | + | 0.264221i | \(0.914885\pi\) | |||||||
\(878\) | 9.36326 | − | 5.40588i | 0.315995 | − | 0.182440i | ||||
\(879\) | 38.2804 | − | 66.3036i | 1.29117 | − | 2.23636i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −36.8745 | −1.24233 | −0.621167 | − | 0.783678i | \(-0.713341\pi\) | ||||
−0.621167 | + | 0.783678i | \(0.713341\pi\) | |||||||
\(882\) | − | 25.1660i | − | 0.847384i | ||||||
\(883\) | −24.5906 | + | 14.1974i | −0.827539 | + | 0.477780i | −0.853009 | − | 0.521896i | \(-0.825225\pi\) |
0.0254701 | + | 0.999676i | \(0.491892\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.6458 | 0.357651 | ||||||||
\(887\) | 15.0836 | − | 8.70850i | 0.506456 | − | 0.292403i | −0.224919 | − | 0.974377i | \(-0.572212\pi\) |
0.731376 | + | 0.681975i | \(0.238879\pi\) | |||||||
\(888\) | −0.811686 | − | 0.468627i | −0.0272384 | − | 0.0157261i | ||||
\(889\) | −24.2288 | − | 41.9654i | −0.812606 | − | 1.40748i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.6144 | + | 20.1167i | −0.389096 | + | 0.673935i | ||||
\(892\) | 18.8118i | 0.629864i | ||||||||
\(893\) | −2.43506 | − | 18.8229i | −0.0814861 | − | 0.629884i | ||||
\(894\) | −28.9373 | −0.967807 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.82288 | + | 3.15731i | −0.0608980 | + | 0.105478i | ||||
\(897\) | 7.54178 | − | 4.35425i | 0.251813 | − | 0.145384i | ||||
\(898\) | 21.0371 | + | 12.1458i | 0.702016 | + | 0.405309i | ||||
\(899\) | −4.64575 | − | 8.04668i | −0.154944 | − | 0.268372i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −1.17281 | + | 0.677124i | −0.0390504 | + | 0.0225458i | ||||
\(903\) | 94.3232 | − | 54.4575i | 3.13888 | − | 1.81223i | ||||
\(904\) | 15.5830 | 0.518283 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −17.1144 | − | 29.6430i | −0.568587 | − | 0.984822i | ||||
\(907\) | 34.5867 | + | 19.9686i | 1.14843 | + | 0.663047i | 0.948505 | − | 0.316763i | \(-0.102596\pi\) |
0.199927 | + | 0.979811i | \(0.435929\pi\) | |||||||
\(908\) | −6.36897 | + | 3.67712i | −0.211362 | + | 0.122030i | ||||
\(909\) | −27.2915 | + | 47.2703i | −0.905202 | + | 1.56786i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.9373 | 0.561156 | 0.280578 | − | 0.959831i | \(-0.409474\pi\) | ||||
0.280578 | + | 0.959831i | \(0.409474\pi\) | |||||||
\(912\) | 1.47960 | + | 11.4373i | 0.0489945 | + | 0.378725i | ||||
\(913\) | − | 36.8745i | − | 1.22037i | ||||||
\(914\) | 16.4373 | − | 28.4702i | 0.543696 | − | 0.941709i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −10.0000 | − | 17.3205i | −0.330409 | − | 0.572286i | ||||
\(917\) | 6.11652 | + | 3.53137i | 0.201985 | + | 0.116616i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 19.8745 | 0.655600 | 0.327800 | − | 0.944747i | \(-0.393693\pi\) | ||||
0.327800 | + | 0.944747i | \(0.393693\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.854249 | − | 1.47960i | −0.0281485 | − | 0.0487545i | ||||
\(922\) | −16.5983 | + | 9.58301i | −0.546634 | + | 0.315599i | ||||
\(923\) | − | 5.41699i | − | 0.178303i | ||||||
\(924\) | 44.8118 | 1.47420 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 19.2288 | − | 33.3052i | 0.631896 | − | 1.09448i | ||||
\(927\) | 46.0431 | − | 26.5830i | 1.51225 | − | 0.873100i | ||||
\(928\) | −1.42526 | − | 0.822876i | −0.0467865 | − | 0.0270122i | ||||
\(929\) | −4.79150 | + | 8.29913i | −0.157204 | + | 0.272285i | −0.933859 | − | 0.357640i | \(-0.883581\pi\) |
0.776655 | + | 0.629926i | \(0.216915\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.5516 | − | 25.3128i | 0.345816 | − | 0.829595i | ||||
\(932\) | − | 18.8745i | − | 0.618255i | ||||||
\(933\) | −31.2663 | − | 18.0516i | −1.02361 | − | 0.590984i | ||||
\(934\) | −9.67712 | + | 16.7613i | −0.316645 | + | 0.548446i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.00000 | + | 6.92820i | −0.130744 | + | 0.226455i | ||||
\(937\) | −6.17086 | + | 3.56275i | −0.201593 | + | 0.116390i | −0.597398 | − | 0.801945i | \(-0.703799\pi\) |
0.395805 | + | 0.918334i | \(0.370466\pi\) | |||||||
\(938\) | 2.35425i | 0.0768689i | ||||||||
\(939\) | −23.4797 | −0.766232 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −8.41699 | − | 14.5787i | −0.274386 | − | 0.475251i | 0.695594 | − | 0.718435i | \(-0.255141\pi\) |
−0.969980 | + | 0.243184i | \(0.921808\pi\) | |||||||
\(942\) | 28.0000i | 0.912289i | ||||||||
\(943\) | 0.479741i | 0.0156225i | ||||||||
\(944\) | −3.96863 | − | 6.87386i | −0.129168 | − | 0.223725i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 26.2288 | + | 45.4295i | 0.852770 | + | 1.47704i | ||||
\(947\) | −6.71084 | − | 3.87451i | −0.218073 | − | 0.125905i | 0.386985 | − | 0.922086i | \(-0.373517\pi\) |
−0.605058 | + | 0.796182i | \(0.706850\pi\) | |||||||
\(948\) | 9.16515 | + | 5.29150i | 0.297670 | + | 0.171860i | ||||
\(949\) | −3.41699 | −0.110920 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −15.8745 | −0.514766 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.6545 | + | 6.72876i | 0.377528 | + | 0.217966i | 0.676742 | − | 0.736220i | \(-0.263391\pi\) |
−0.299214 | + | 0.954186i | \(0.596725\pi\) | |||||||
\(954\) | −25.1660 | − | 43.5888i | −0.814780 | − | 1.41124i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.00000 | + | 10.3923i | 0.194054 | + | 0.336111i | ||||
\(957\) | 20.2288i | 0.653903i | ||||||||
\(958\) | 6.58301i | 0.212687i | ||||||||
\(959\) | 28.4059 | + | 49.2004i | 0.917274 | + | 1.58876i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.874508 | 0.0282099 | ||||||||
\(962\) | − | 0.708497i | − | 0.0228429i | ||||||
\(963\) | 52.9713 | − | 30.5830i | 1.70698 | − | 0.985524i | ||||
\(964\) | −3.79150 | + | 6.56708i | −0.122116 | + | 0.211511i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 7.93725 | − | 13.7477i | 0.255377 | − | 0.442326i | ||||
\(967\) | −11.5108 | − | 6.64575i | −0.370162 | − | 0.213713i | 0.303367 | − | 0.952874i | \(-0.401889\pi\) |
−0.673529 | + | 0.739161i | \(0.735222\pi\) | |||||||
\(968\) | 10.5830i | 0.340151i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 27.1974 | − | 47.1073i | 0.872806 | − | 1.51174i | 0.0137234 | − | 0.999906i | \(-0.495632\pi\) |
0.859082 | − | 0.511838i | \(-0.171035\pi\) | |||||||
\(972\) | −18.3303 | − | 10.5830i | −0.587945 | − | 0.339450i | ||||
\(973\) | 58.8705 | − | 33.9889i | 1.88730 | − | 1.08963i | ||||
\(974\) | 2.11438 | − | 3.66221i | 0.0677491 | − | 0.117345i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.937254 | 0.0300008 | ||||||||
\(977\) | 7.45751i | 0.238587i | 0.992859 | + | 0.119293i | \(0.0380629\pi\) | ||||
−0.992859 | + | 0.119293i | \(0.961937\pi\) | |||||||
\(978\) | 9.02138 | − | 5.20850i | 0.288472 | − | 0.166549i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 58.3320 | 1.86240 | ||||||||
\(982\) | −34.0274 | + | 19.6458i | −1.08586 | + | 0.626921i | ||||
\(983\) | −27.4955 | − | 15.8745i | −0.876969 | − | 0.506318i | −0.00731102 | − | 0.999973i | \(-0.502327\pi\) |
−0.869658 | + | 0.493655i | \(0.835661\pi\) | |||||||
\(984\) | −0.385622 | − | 0.667916i | −0.0122932 | − | 0.0212924i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | − | 42.0000i | − | 1.33687i | ||||||
\(988\) | −6.92820 | + | 5.29150i | −0.220416 | + | 0.168345i | ||||
\(989\) | 18.5830 | 0.590905 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.41699 | − | 2.45431i | 0.0450123 | − | 0.0779636i | −0.842641 | − | 0.538475i | \(-0.819001\pi\) |
0.887654 | + | 0.460511i | \(0.152334\pi\) | |||||||
\(992\) | 4.88936 | − | 2.82288i | 0.155237 | − | 0.0896264i | ||||
\(993\) | −45.3944 | − | 26.2085i | −1.44055 | − | 0.831702i | ||||
\(994\) | −4.93725 | − | 8.55157i | −0.156600 | − | 0.271239i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 21.0000 | 0.665410 | ||||||||
\(997\) | −14.0545 | + | 8.11438i | −0.445111 | + | 0.256985i | −0.705763 | − | 0.708448i | \(-0.749396\pi\) |
0.260652 | + | 0.965433i | \(0.416062\pi\) | |||||||
\(998\) | −4.13202 | + | 2.38562i | −0.130797 | + | 0.0755155i | ||||
\(999\) | −0.937254 | −0.0296534 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))