Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(143,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.l (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 341.2 | ||
Root | \(-1.70672 + 0.295146i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.341 |
Dual form | 378.2.l.a.143.6 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.483662 | − | 0.837727i | −0.216300 | − | 0.374643i | 0.737374 | − | 0.675485i | \(-0.236066\pi\) |
−0.953674 | + | 0.300842i | \(0.902732\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.16249 | + | 1.52435i | −0.817345 | + | 0.576149i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.837727 | + | 0.483662i | −0.264913 | + | 0.152947i | ||||
\(11\) | −4.82689 | − | 2.78681i | −1.45536 | − | 0.840254i | −0.456584 | − | 0.889680i | \(-0.650927\pi\) |
−0.998778 | + | 0.0494264i | \(0.984261\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.76893 | − | 2.17600i | −1.04531 | − | 0.603512i | −0.123980 | − | 0.992285i | \(-0.539566\pi\) |
−0.921334 | + | 0.388772i | \(0.872899\pi\) | |||||||
\(14\) | 1.52435 | + | 2.16249i | 0.407399 | + | 0.577950i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −1.97267 | − | 3.41677i | −0.478443 | − | 0.828688i | 0.521251 | − | 0.853403i | \(-0.325465\pi\) |
−0.999695 | + | 0.0247150i | \(0.992132\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.86796 | + | 2.23317i | 0.887371 | + | 0.512324i | 0.873082 | − | 0.487574i | \(-0.162118\pi\) |
0.0142896 | + | 0.999898i | \(0.495451\pi\) | |||||||
\(20\) | 0.483662 | + | 0.837727i | 0.108150 | + | 0.187322i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.78681 | + | 4.82689i | −0.594149 | + | 1.02910i | ||||
\(23\) | −2.29786 | + | 1.32667i | −0.479137 | + | 0.276630i | −0.720057 | − | 0.693915i | \(-0.755884\pi\) |
0.240920 | + | 0.970545i | \(0.422551\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.03214 | − | 3.51977i | 0.406428 | − | 0.703955i | ||||
\(26\) | −2.17600 | + | 3.76893i | −0.426748 | + | 0.739149i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.16249 | − | 1.52435i | 0.408673 | − | 0.288074i | ||||
\(29\) | −4.61157 | + | 2.66249i | −0.856347 | + | 0.494412i | −0.862787 | − | 0.505567i | \(-0.831283\pi\) |
0.00644015 | + | 0.999979i | \(0.497950\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.16655i | 1.10754i | 0.832668 | + | 0.553772i | \(0.186812\pi\) | ||||
−0.832668 | + | 0.553772i | \(0.813188\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.41677 | + | 1.97267i | −0.585971 | + | 0.338311i | ||||
\(35\) | 2.32290 | + | 1.07431i | 0.392642 | + | 0.181592i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.243608 | − | 0.421942i | 0.0400490 | − | 0.0693669i | −0.845306 | − | 0.534282i | \(-0.820582\pi\) |
0.885355 | + | 0.464915i | \(0.153915\pi\) | |||||||
\(38\) | 2.23317 | − | 3.86796i | 0.362268 | − | 0.627466i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.837727 | − | 0.483662i | 0.132456 | − | 0.0764737i | ||||
\(41\) | −0.0818856 | + | 0.141830i | −0.0127884 | + | 0.0221501i | −0.872349 | − | 0.488884i | \(-0.837404\pi\) |
0.859560 | + | 0.511034i | \(0.170737\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.35045 | − | 7.53520i | −0.663437 | − | 1.14911i | −0.979707 | − | 0.200437i | \(-0.935764\pi\) |
0.316270 | − | 0.948669i | \(-0.397570\pi\) | |||||||
\(44\) | 4.82689 | + | 2.78681i | 0.727681 | + | 0.420127i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.32667 | + | 2.29786i | 0.195607 | + | 0.338801i | ||||
\(47\) | 9.49001 | 1.38426 | 0.692130 | − | 0.721773i | \(-0.256672\pi\) | ||||
0.692130 | + | 0.721773i | \(0.256672\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.35274 | − | 6.59277i | 0.336106 | − | 0.941824i | ||||
\(50\) | −3.51977 | − | 2.03214i | −0.497771 | − | 0.287388i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.76893 | + | 2.17600i | 0.522657 | + | 0.301756i | ||||
\(53\) | 1.74520 | − | 1.00759i | 0.239722 | − | 0.138403i | −0.375327 | − | 0.926892i | \(-0.622470\pi\) |
0.615049 | + | 0.788489i | \(0.289136\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.39149i | 0.726988i | ||||||||
\(56\) | −1.52435 | − | 2.16249i | −0.203699 | − | 0.288975i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.66249 | + | 4.61157i | 0.349602 | + | 0.605529i | ||||
\(59\) | −1.67386 | −0.217918 | −0.108959 | − | 0.994046i | \(-0.534752\pi\) | ||||
−0.108959 | + | 0.994046i | \(0.534752\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 5.17221i | − | 0.662234i | −0.943590 | − | 0.331117i | \(-0.892574\pi\) | ||
0.943590 | − | 0.331117i | \(-0.107426\pi\) | |||||||
\(62\) | 6.16655 | 0.783152 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 4.20979i | 0.522160i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.44252 | −0.664909 | −0.332455 | − | 0.943119i | \(-0.607877\pi\) | ||||
−0.332455 | + | 0.943119i | \(0.607877\pi\) | |||||||
\(68\) | 1.97267 | + | 3.41677i | 0.239222 | + | 0.414344i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.07431 | − | 2.32290i | 0.128405 | − | 0.277640i | ||||
\(71\) | − | 3.64006i | − | 0.431996i | −0.976394 | − | 0.215998i | \(-0.930700\pi\) | ||
0.976394 | − | 0.215998i | \(-0.0693005\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.15468 | + | 1.24401i | −0.252186 | + | 0.145600i | −0.620765 | − | 0.783997i | \(-0.713178\pi\) |
0.368579 | + | 0.929597i | \(0.379845\pi\) | |||||||
\(74\) | −0.421942 | − | 0.243608i | −0.0490498 | − | 0.0283189i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.86796 | − | 2.23317i | −0.443686 | − | 0.256162i | ||||
\(77\) | 14.6862 | − | 1.33140i | 1.67364 | − | 0.151728i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.60242 | 0.517812 | 0.258906 | − | 0.965902i | \(-0.416638\pi\) | ||||
0.258906 | + | 0.965902i | \(0.416638\pi\) | |||||||
\(80\) | −0.483662 | − | 0.837727i | −0.0540751 | − | 0.0936608i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.141830 | + | 0.0818856i | 0.0156625 | + | 0.00904275i | ||||
\(83\) | 4.20979 | + | 7.29158i | 0.462085 | + | 0.800355i | 0.999065 | − | 0.0432405i | \(-0.0137682\pi\) |
−0.536980 | + | 0.843595i | \(0.680435\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.90821 | + | 3.30512i | −0.206975 | + | 0.358491i | ||||
\(86\) | −7.53520 | + | 4.35045i | −0.812541 | + | 0.469121i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.78681 | − | 4.82689i | 0.297075 | − | 0.514548i | ||||
\(89\) | 2.05811 | − | 3.56475i | 0.218159 | − | 0.377863i | −0.736086 | − | 0.676888i | \(-0.763328\pi\) |
0.954245 | + | 0.299025i | \(0.0966615\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.4673 | − | 1.03959i | 1.20210 | − | 0.108978i | ||||
\(92\) | 2.29786 | − | 1.32667i | 0.239569 | − | 0.138315i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 9.49001i | − | 0.978820i | ||||||
\(95\) | − | 4.32040i | − | 0.443263i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.2669 | − | 5.92762i | 1.04245 | − | 0.601859i | 0.121924 | − | 0.992539i | \(-0.461094\pi\) |
0.920526 | + | 0.390681i | \(0.127760\pi\) | |||||||
\(98\) | −6.59277 | − | 2.35274i | −0.665970 | − | 0.237663i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.03214 | + | 3.51977i | −0.203214 | + | 0.351977i | ||||
\(101\) | −2.65813 | + | 4.60402i | −0.264494 | + | 0.458117i | −0.967431 | − | 0.253135i | \(-0.918538\pi\) |
0.702937 | + | 0.711252i | \(0.251872\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.74616 | − | 4.47225i | 0.763252 | − | 0.440664i | −0.0672102 | − | 0.997739i | \(-0.521410\pi\) |
0.830462 | + | 0.557075i | \(0.188076\pi\) | |||||||
\(104\) | 2.17600 | − | 3.76893i | 0.213374 | − | 0.369574i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.00759 | − | 1.74520i | −0.0978659 | − | 0.169509i | ||||
\(107\) | −16.5898 | − | 9.57813i | −1.60380 | − | 0.925953i | −0.990718 | − | 0.135931i | \(-0.956597\pi\) |
−0.613079 | − | 0.790022i | \(-0.710069\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.62168 | − | 16.6652i | −0.921590 | − | 1.59624i | −0.796955 | − | 0.604038i | \(-0.793557\pi\) |
−0.124635 | − | 0.992203i | \(-0.539776\pi\) | |||||||
\(110\) | 5.39149 | 0.514058 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.16249 | + | 1.52435i | −0.204336 | + | 0.144037i | ||||
\(113\) | −7.31199 | − | 4.22158i | −0.687854 | − | 0.397133i | 0.114953 | − | 0.993371i | \(-0.463328\pi\) |
−0.802808 | + | 0.596238i | \(0.796661\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.22278 | + | 1.28332i | 0.207275 | + | 0.119670i | ||||
\(116\) | 4.61157 | − | 2.66249i | 0.428174 | − | 0.247206i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.67386i | 0.154091i | ||||||||
\(119\) | 9.47423 | + | 4.38170i | 0.868501 | + | 0.401670i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.0326 | + | 17.3769i | 0.912053 | + | 1.57972i | ||||
\(122\) | −5.17221 | −0.468270 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 6.16655i | − | 0.553772i | ||||||
\(125\) | −8.76810 | −0.784243 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.31883 | 0.294498 | 0.147249 | − | 0.989099i | \(-0.452958\pi\) | ||||
0.147249 | + | 0.989099i | \(0.452958\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.20979 | 0.369223 | ||||||||
\(131\) | 9.37335 | + | 16.2351i | 0.818954 | + | 1.41847i | 0.906454 | + | 0.422305i | \(0.138779\pi\) |
−0.0875000 | + | 0.996165i | \(0.527888\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.7686 | + | 1.06690i | −1.02046 | + | 0.0925121i | ||||
\(134\) | 5.44252i | 0.470162i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.41677 | − | 1.97267i | 0.292986 | − | 0.169155i | ||||
\(137\) | −14.6656 | − | 8.46717i | −1.25296 | − | 0.723399i | −0.281267 | − | 0.959630i | \(-0.590755\pi\) |
−0.971697 | + | 0.236230i | \(0.924088\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.5033 | − | 6.06406i | −0.890875 | − | 0.514347i | −0.0166466 | − | 0.999861i | \(-0.505299\pi\) |
−0.874229 | + | 0.485514i | \(0.838632\pi\) | |||||||
\(140\) | −2.32290 | − | 1.07431i | −0.196321 | − | 0.0907958i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.64006 | −0.305467 | ||||||||
\(143\) | 12.1282 | + | 21.0066i | 1.01421 | + | 1.75666i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.46088 | + | 2.57549i | 0.370456 | + | 0.213883i | ||||
\(146\) | 1.24401 | + | 2.15468i | 0.102955 | + | 0.178323i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.243608 | + | 0.421942i | −0.0200245 | + | 0.0346834i | ||||
\(149\) | 7.56951 | − | 4.37026i | 0.620118 | − | 0.358025i | −0.156797 | − | 0.987631i | \(-0.550117\pi\) |
0.776915 | + | 0.629606i | \(0.216783\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0471 | + | 19.1341i | −0.898997 | + | 1.55711i | −0.0702195 | + | 0.997532i | \(0.522370\pi\) |
−0.828778 | + | 0.559578i | \(0.810963\pi\) | |||||||
\(152\) | −2.23317 | + | 3.86796i | −0.181134 | + | 0.313733i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.33140 | − | 14.6862i | −0.107288 | − | 1.18345i | ||||
\(155\) | 5.16588 | − | 2.98252i | 0.414934 | − | 0.239562i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 1.42457i | − | 0.113693i | −0.998383 | − | 0.0568467i | \(-0.981895\pi\) | ||
0.998383 | − | 0.0568467i | \(-0.0181046\pi\) | |||||||
\(158\) | − | 4.60242i | − | 0.366149i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.837727 | + | 0.483662i | −0.0662282 | + | 0.0382368i | ||||
\(161\) | 2.94680 | − | 6.37165i | 0.232241 | − | 0.502157i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.72148 | + | 6.44579i | −0.291489 | + | 0.504873i | −0.974162 | − | 0.225851i | \(-0.927484\pi\) |
0.682673 | + | 0.730724i | \(0.260817\pi\) | |||||||
\(164\) | 0.0818856 | − | 0.141830i | 0.00639419 | − | 0.0110751i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.29158 | − | 4.20979i | 0.565936 | − | 0.326743i | ||||
\(167\) | 3.24855 | − | 5.62665i | 0.251380 | − | 0.435404i | −0.712526 | − | 0.701646i | \(-0.752449\pi\) |
0.963906 | + | 0.266242i | \(0.0857822\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.96991 | + | 5.14404i | 0.228455 | + | 0.395695i | ||||
\(170\) | 3.30512 | + | 1.90821i | 0.253491 | + | 0.146353i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.35045 | + | 7.53520i | 0.331718 | + | 0.574553i | ||||
\(173\) | −11.8188 | −0.898564 | −0.449282 | − | 0.893390i | \(-0.648320\pi\) | ||||
−0.449282 | + | 0.893390i | \(0.648320\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.970861 | + | 10.7092i | 0.0733902 | + | 0.809537i | ||||
\(176\) | −4.82689 | − | 2.78681i | −0.363841 | − | 0.210063i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.56475 | − | 2.05811i | −0.267189 | − | 0.154262i | ||||
\(179\) | 2.10764 | − | 1.21685i | 0.157533 | − | 0.0909515i | −0.419161 | − | 0.907912i | \(-0.637676\pi\) |
0.576694 | + | 0.816960i | \(0.304343\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.5342i | 0.857327i | 0.903464 | + | 0.428663i | \(0.141015\pi\) | ||||
−0.903464 | + | 0.428663i | \(0.858985\pi\) | |||||||
\(182\) | −1.03959 | − | 11.4673i | −0.0770593 | − | 0.850010i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.32667 | − | 2.29786i | −0.0978035 | − | 0.169401i | ||||
\(185\) | −0.471297 | −0.0346504 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 21.9898i | 1.60806i | ||||||||
\(188\) | −9.49001 | −0.692130 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.32040 | −0.313435 | ||||||||
\(191\) | 22.0689i | 1.59685i | 0.602094 | + | 0.798425i | \(0.294333\pi\) | ||||
−0.602094 | + | 0.798425i | \(0.705667\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.9396 | −1.43528 | −0.717641 | − | 0.696413i | \(-0.754778\pi\) | ||||
−0.717641 | + | 0.696413i | \(0.754778\pi\) | |||||||
\(194\) | −5.92762 | − | 10.2669i | −0.425578 | − | 0.737123i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.35274 | + | 6.59277i | −0.168053 | + | 0.470912i | ||||
\(197\) | 4.62560i | 0.329560i | 0.986330 | + | 0.164780i | \(0.0526914\pi\) | ||||
−0.986330 | + | 0.164780i | \(0.947309\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.1024 | + | 10.4514i | −1.28324 | + | 0.740882i | −0.977440 | − | 0.211212i | \(-0.932259\pi\) |
−0.305805 | + | 0.952094i | \(0.598925\pi\) | |||||||
\(200\) | 3.51977 | + | 2.03214i | 0.248886 | + | 0.143694i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.60402 | + | 2.65813i | 0.323938 | + | 0.187025i | ||||
\(203\) | 5.91393 | − | 12.7872i | 0.415076 | − | 0.897489i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.158420 | 0.0110645 | ||||||||
\(206\) | −4.47225 | − | 7.74616i | −0.311596 | − | 0.539701i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.76893 | − | 2.17600i | −0.261329 | − | 0.150878i | ||||
\(209\) | −12.4468 | − | 21.5585i | −0.860965 | − | 1.49123i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.34310 | + | 5.79042i | −0.230148 | + | 0.398629i | −0.957852 | − | 0.287263i | \(-0.907254\pi\) |
0.727703 | + | 0.685892i | \(0.240588\pi\) | |||||||
\(212\) | −1.74520 | + | 1.00759i | −0.119861 | + | 0.0692017i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.57813 | + | 16.5898i | −0.654747 | + | 1.13406i | ||||
\(215\) | −4.20829 | + | 7.28898i | −0.287003 | + | 0.497104i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.39995 | − | 13.3351i | −0.638110 | − | 0.905246i | ||||
\(218\) | −16.6652 | + | 9.62168i | −1.12871 | + | 0.651663i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 5.39149i | − | 0.363494i | ||||||
\(221\) | 17.1701i | 1.15499i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.08622 | − | 4.09123i | 0.474528 | − | 0.273969i | −0.243605 | − | 0.969875i | \(-0.578330\pi\) |
0.718133 | + | 0.695905i | \(0.244997\pi\) | |||||||
\(224\) | 1.52435 | + | 2.16249i | 0.101850 | + | 0.144488i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.22158 | + | 7.31199i | −0.280815 | + | 0.486386i | ||||
\(227\) | 5.34688 | − | 9.26106i | 0.354885 | − | 0.614678i | −0.632214 | − | 0.774794i | \(-0.717853\pi\) |
0.987098 | + | 0.160116i | \(0.0511868\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 25.2942 | − | 14.6036i | 1.67149 | − | 0.965034i | 0.704682 | − | 0.709524i | \(-0.251090\pi\) |
0.966806 | − | 0.255510i | \(-0.0822435\pi\) | |||||||
\(230\) | 1.28332 | − | 2.22278i | 0.0846197 | − | 0.146566i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.66249 | − | 4.61157i | −0.174801 | − | 0.302764i | ||||
\(233\) | −5.57664 | − | 3.21967i | −0.365338 | − | 0.210928i | 0.306082 | − | 0.952005i | \(-0.400982\pi\) |
−0.671420 | + | 0.741077i | \(0.734315\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.58996 | − | 7.95004i | −0.299416 | − | 0.518603i | ||||
\(236\) | 1.67386 | 0.108959 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.38170 | − | 9.47423i | 0.284023 | − | 0.614123i | ||||
\(239\) | 4.01452 | + | 2.31778i | 0.259678 | + | 0.149925i | 0.624187 | − | 0.781275i | \(-0.285430\pi\) |
−0.364510 | + | 0.931200i | \(0.618763\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.08846 | + | 5.24722i | 0.585439 | + | 0.338003i | 0.763292 | − | 0.646054i | \(-0.223582\pi\) |
−0.177853 | + | 0.984057i | \(0.556915\pi\) | |||||||
\(242\) | 17.3769 | − | 10.0326i | 1.11703 | − | 0.644919i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.17221i | 0.331117i | ||||||||
\(245\) | −6.66087 | + | 1.21772i | −0.425548 | + | 0.0777971i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.71873 | − | 16.8333i | −0.618388 | − | 1.07108i | ||||
\(248\) | −6.16655 | −0.391576 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.76810i | 0.554543i | ||||||||
\(251\) | −7.85271 | −0.495659 | −0.247829 | − | 0.968804i | \(-0.579717\pi\) | ||||
−0.247829 | + | 0.968804i | \(0.579717\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.7887 | 0.929758 | ||||||||
\(254\) | − | 3.31883i | − | 0.208242i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 1.71568 | + | 2.97164i | 0.107021 | + | 0.185366i | 0.914562 | − | 0.404445i | \(-0.132535\pi\) |
−0.807541 | + | 0.589811i | \(0.799202\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.116385 | + | 1.28379i | 0.00723178 | + | 0.0797708i | ||||
\(260\) | − | 4.20979i | − | 0.261080i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.2351 | − | 9.37335i | 1.00301 | − | 0.579088i | ||||
\(263\) | 3.17080 | + | 1.83066i | 0.195520 | + | 0.112883i | 0.594564 | − | 0.804048i | \(-0.297325\pi\) |
−0.399044 | + | 0.916932i | \(0.630658\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.68817 | − | 0.974668i | −0.103704 | − | 0.0598734i | ||||
\(266\) | 1.06690 | + | 11.7686i | 0.0654160 | + | 0.721577i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.44252 | 0.332455 | ||||||||
\(269\) | 6.34303 | + | 10.9865i | 0.386741 | + | 0.669856i | 0.992009 | − | 0.126166i | \(-0.0402673\pi\) |
−0.605268 | + | 0.796022i | \(0.706934\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.2136 | − | 9.93828i | −1.04565 | − | 0.603708i | −0.124223 | − | 0.992254i | \(-0.539644\pi\) |
−0.921429 | + | 0.388547i | \(0.872977\pi\) | |||||||
\(272\) | −1.97267 | − | 3.41677i | −0.119611 | − | 0.207172i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.46717 | + | 14.6656i | −0.511520 | + | 0.885979i | ||||
\(275\) | −19.6179 | + | 11.3264i | −1.18300 | + | 0.683006i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.73302 | − | 6.46579i | 0.224296 | − | 0.388491i | −0.731812 | − | 0.681506i | \(-0.761325\pi\) |
0.956108 | + | 0.293015i | \(0.0946585\pi\) | |||||||
\(278\) | −6.06406 | + | 10.5033i | −0.363698 | + | 0.629944i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.07431 | + | 2.32290i | −0.0642023 | + | 0.138820i | ||||
\(281\) | 19.2746 | − | 11.1282i | 1.14983 | − | 0.663854i | 0.200983 | − | 0.979595i | \(-0.435586\pi\) |
0.948845 | + | 0.315741i | \(0.102253\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 16.1802i | − | 0.961815i | −0.876771 | − | 0.480908i | \(-0.840307\pi\) | ||
0.876771 | − | 0.480908i | \(-0.159693\pi\) | |||||||
\(284\) | 3.64006i | 0.215998i | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 21.0066 | − | 12.1282i | 1.24215 | − | 0.717153i | ||||
\(287\) | −0.0391210 | − | 0.431528i | −0.00230924 | − | 0.0254723i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.717124 | − | 1.24210i | 0.0421838 | − | 0.0730644i | ||||
\(290\) | 2.57549 | − | 4.46088i | 0.151238 | − | 0.261952i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.15468 | − | 1.24401i | 0.126093 | − | 0.0727999i | ||||
\(293\) | 4.43406 | − | 7.68002i | 0.259041 | − | 0.448672i | −0.706944 | − | 0.707269i | \(-0.749927\pi\) |
0.965985 | + | 0.258597i | \(0.0832603\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.809584 | + | 1.40224i | 0.0471358 | + | 0.0816416i | ||||
\(296\) | 0.421942 | + | 0.243608i | 0.0245249 | + | 0.0141595i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.37026 | − | 7.56951i | −0.253162 | − | 0.438490i | ||||
\(299\) | 11.5473 | 0.667799 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.8940 | + | 9.66321i | 1.20431 | + | 0.556978i | ||||
\(302\) | 19.1341 | + | 11.0471i | 1.10104 | + | 0.635687i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.86796 | + | 2.23317i | 0.221843 | + | 0.128081i | ||||
\(305\) | −4.33290 | + | 2.50160i | −0.248101 | + | 0.143241i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 27.1427i | − | 1.54912i | −0.632501 | − | 0.774559i | \(-0.717972\pi\) | ||
0.632501 | − | 0.774559i | \(-0.282028\pi\) | |||||||
\(308\) | −14.6862 | + | 1.33140i | −0.836822 | + | 0.0758638i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.98252 | − | 5.16588i | −0.169396 | − | 0.293402i | ||||
\(311\) | −16.8955 | −0.958055 | −0.479028 | − | 0.877800i | \(-0.659011\pi\) | ||||
−0.479028 | + | 0.877800i | \(0.659011\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.27739i | 0.241772i | 0.992666 | + | 0.120886i | \(0.0385736\pi\) | ||||
−0.992666 | + | 0.120886i | \(0.961426\pi\) | |||||||
\(314\) | −1.42457 | −0.0803934 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.60242 | −0.258906 | ||||||||
\(317\) | − | 6.62940i | − | 0.372344i | −0.982517 | − | 0.186172i | \(-0.940392\pi\) | ||
0.982517 | − | 0.186172i | \(-0.0596082\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 29.6794 | 1.66173 | ||||||||
\(320\) | 0.483662 | + | 0.837727i | 0.0270375 | + | 0.0468304i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.37165 | − | 2.94680i | −0.355078 | − | 0.164219i | ||||
\(323\) | − | 17.6212i | − | 0.980472i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.3180 | + | 8.84386i | −0.849691 | + | 0.490569i | ||||
\(326\) | 6.44579 | + | 3.72148i | 0.356999 | + | 0.206114i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.141830 | − | 0.0818856i | −0.00783125 | − | 0.00452137i | ||||
\(329\) | −20.5221 | + | 14.4661i | −1.13142 | + | 0.797539i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.757792 | −0.0416520 | −0.0208260 | − | 0.999783i | \(-0.506630\pi\) | ||||
−0.0208260 | + | 0.999783i | \(0.506630\pi\) | |||||||
\(332\) | −4.20979 | − | 7.29158i | −0.231042 | − | 0.400177i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.62665 | − | 3.24855i | −0.307877 | − | 0.177753i | ||||
\(335\) | 2.63234 | + | 4.55935i | 0.143820 | + | 0.249104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.01088 | − | 1.75089i | 0.0550660 | − | 0.0953772i | −0.837178 | − | 0.546930i | \(-0.815796\pi\) |
0.892244 | + | 0.451553i | \(0.149130\pi\) | |||||||
\(338\) | 5.14404 | − | 2.96991i | 0.279799 | − | 0.161542i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.90821 | − | 3.30512i | 0.103487 | − | 0.179245i | ||||
\(341\) | 17.1850 | − | 29.7652i | 0.930618 | − | 1.61188i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.96188 | + | 17.8432i | 0.267916 | + | 0.963442i | ||||
\(344\) | 7.53520 | − | 4.35045i | 0.406271 | − | 0.234560i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.8188i | 0.635381i | ||||||||
\(347\) | − | 20.9661i | − | 1.12552i | −0.826620 | − | 0.562761i | \(-0.809739\pi\) | ||
0.826620 | − | 0.562761i | \(-0.190261\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.36406 | + | 3.09694i | −0.287132 | + | 0.165776i | −0.636648 | − | 0.771155i | \(-0.719679\pi\) |
0.349516 | + | 0.936930i | \(0.386346\pi\) | |||||||
\(350\) | 10.7092 | − | 0.970861i | 0.572429 | − | 0.0518947i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.78681 | + | 4.82689i | −0.148537 | + | 0.257274i | ||||
\(353\) | −9.41889 | + | 16.3140i | −0.501317 | + | 0.868306i | 0.498682 | + | 0.866785i | \(0.333818\pi\) |
−0.999999 | + | 0.00152110i | \(0.999516\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.04938 | + | 1.76056i | −0.161844 | + | 0.0934409i | ||||
\(356\) | −2.05811 | + | 3.56475i | −0.109080 | + | 0.188931i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.21685 | − | 2.10764i | −0.0643124 | − | 0.111392i | ||||
\(359\) | 24.0735 | + | 13.8988i | 1.27055 | + | 0.733553i | 0.975092 | − | 0.221803i | \(-0.0711942\pi\) |
0.295459 | + | 0.955355i | \(0.404527\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.474089 | + | 0.821146i | 0.0249520 | + | 0.0432182i | ||||
\(362\) | 11.5342 | 0.606222 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −11.4673 | + | 1.03959i | −0.601048 | + | 0.0544892i | ||||
\(365\) | 2.08428 | + | 1.20336i | 0.109096 | + | 0.0629866i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.8390 | − | 10.8767i | −0.983388 | − | 0.567759i | −0.0800968 | − | 0.996787i | \(-0.525523\pi\) |
−0.903291 | + | 0.429028i | \(0.858856\pi\) | |||||||
\(368\) | −2.29786 | + | 1.32667i | −0.119784 | + | 0.0691575i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.471297i | 0.0245016i | ||||||||
\(371\) | −2.23806 | + | 4.83920i | −0.116194 | + | 0.251239i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.86560 | − | 10.1595i | −0.303709 | − | 0.526040i | 0.673264 | − | 0.739402i | \(-0.264892\pi\) |
−0.976973 | + | 0.213362i | \(0.931558\pi\) | |||||||
\(374\) | 21.9898 | 1.13707 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.49001i | 0.489410i | ||||||||
\(377\) | 23.1743 | 1.19354 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.8881 | 1.79208 | 0.896041 | − | 0.443971i | \(-0.146431\pi\) | ||||
0.896041 | + | 0.443971i | \(0.146431\pi\) | |||||||
\(380\) | 4.32040i | 0.221632i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 22.0689 | 1.12914 | ||||||||
\(383\) | −5.92412 | − | 10.2609i | −0.302708 | − | 0.524306i | 0.674040 | − | 0.738695i | \(-0.264557\pi\) |
−0.976748 | + | 0.214389i | \(0.931224\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.21849 | − | 11.6591i | −0.418853 | − | 0.594200i | ||||
\(386\) | 19.9396i | 1.01490i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −10.2669 | + | 5.92762i | −0.521225 | + | 0.300929i | ||||
\(389\) | 5.50224 | + | 3.17672i | 0.278975 | + | 0.161066i | 0.632959 | − | 0.774185i | \(-0.281840\pi\) |
−0.353984 | + | 0.935251i | \(0.615173\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.06586 | + | 5.23418i | 0.458480 | + | 0.264704i | ||||
\(392\) | 6.59277 | + | 2.35274i | 0.332985 | + | 0.118831i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.62560 | 0.233034 | ||||||||
\(395\) | −2.22601 | − | 3.85557i | −0.112003 | − | 0.193995i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.42647 | − | 4.28768i | −0.372724 | − | 0.215192i | 0.301924 | − | 0.953332i | \(-0.402371\pi\) |
−0.674648 | + | 0.738140i | \(0.735704\pi\) | |||||||
\(398\) | 10.4514 | + | 18.1024i | 0.523883 | + | 0.907391i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.03214 | − | 3.51977i | 0.101607 | − | 0.175989i | ||||
\(401\) | 20.0216 | − | 11.5595i | 0.999833 | − | 0.577254i | 0.0916343 | − | 0.995793i | \(-0.470791\pi\) |
0.908199 | + | 0.418539i | \(0.137458\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.4184 | − | 23.2413i | 0.668417 | − | 1.15773i | ||||
\(404\) | 2.65813 | − | 4.60402i | 0.132247 | − | 0.229058i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.7872 | − | 5.91393i | −0.634620 | − | 0.293503i | ||||
\(407\) | −2.35174 | + | 1.35778i | −0.116572 | + | 0.0673026i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.55989i | 0.0771318i | 0.999256 | + | 0.0385659i | \(0.0122790\pi\) | ||||
−0.999256 | + | 0.0385659i | \(0.987721\pi\) | |||||||
\(410\) | − | 0.158420i | − | 0.00782380i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.74616 | + | 4.47225i | −0.381626 | + | 0.220332i | ||||
\(413\) | 3.61971 | − | 2.55154i | 0.178114 | − | 0.125553i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.07224 | − | 7.05332i | 0.199898 | − | 0.346234i | ||||
\(416\) | −2.17600 | + | 3.76893i | −0.106687 | + | 0.184787i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −21.5585 | + | 12.4468i | −1.05446 | + | 0.608794i | ||||
\(419\) | −3.40822 | + | 5.90321i | −0.166502 | + | 0.288391i | −0.937188 | − | 0.348825i | \(-0.886581\pi\) |
0.770685 | + | 0.637216i | \(0.219914\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.75727 | − | 11.7039i | −0.329329 | − | 0.570415i | 0.653050 | − | 0.757315i | \(-0.273489\pi\) |
−0.982379 | + | 0.186900i | \(0.940156\pi\) | |||||||
\(422\) | 5.79042 | + | 3.34310i | 0.281873 | + | 0.162740i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.00759 | + | 1.74520i | 0.0489330 | + | 0.0847544i | ||||
\(425\) | −16.0350 | −0.777812 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.88424 | + | 11.1849i | 0.381545 | + | 0.541274i | ||||
\(428\) | 16.5898 | + | 9.57813i | 0.801899 | + | 0.462976i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.28898 | + | 4.20829i | 0.351506 | + | 0.202942i | ||||
\(431\) | −12.2628 | + | 7.07990i | −0.590676 | + | 0.341027i | −0.765365 | − | 0.643597i | \(-0.777441\pi\) |
0.174689 | + | 0.984624i | \(0.444108\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.4830i | 1.12852i | 0.825597 | + | 0.564260i | \(0.190839\pi\) | ||||
−0.825597 | + | 0.564260i | \(0.809161\pi\) | |||||||
\(434\) | −13.3351 | + | 9.39995i | −0.640105 | + | 0.451212i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.62168 | + | 16.6652i | 0.460795 | + | 0.798121i | ||||
\(437\) | −11.8507 | −0.566897 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.23080i | 0.201925i | 0.994890 | + | 0.100963i | \(0.0321922\pi\) | ||||
−0.994890 | + | 0.100963i | \(0.967808\pi\) | |||||||
\(440\) | −5.39149 | −0.257029 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.1701 | 0.816699 | ||||||||
\(443\) | − | 29.8098i | − | 1.41631i | −0.706058 | − | 0.708154i | \(-0.749528\pi\) | ||
0.706058 | − | 0.708154i | \(-0.250472\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.98172 | −0.188751 | ||||||||
\(446\) | −4.09123 | − | 7.08622i | −0.193725 | − | 0.335542i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.16249 | − | 1.52435i | 0.102168 | − | 0.0720186i | ||||
\(449\) | − | 8.41716i | − | 0.397230i | −0.980078 | − | 0.198615i | \(-0.936356\pi\) | ||
0.980078 | − | 0.198615i | \(-0.0636444\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.790505 | − | 0.456399i | 0.0372234 | − | 0.0214910i | ||||
\(452\) | 7.31199 | + | 4.22158i | 0.343927 | + | 0.198566i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.26106 | − | 5.34688i | −0.434643 | − | 0.250941i | ||||
\(455\) | −6.41717 | − | 9.10363i | −0.300841 | − | 0.426785i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.88219 | −0.181601 | −0.0908006 | − | 0.995869i | \(-0.528943\pi\) | ||||
−0.0908006 | + | 0.995869i | \(0.528943\pi\) | |||||||
\(458\) | −14.6036 | − | 25.2942i | −0.682382 | − | 1.18192i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.22278 | − | 1.28332i | −0.103638 | − | 0.0598352i | ||||
\(461\) | 17.0423 | + | 29.5181i | 0.793739 | + | 1.37480i | 0.923637 | + | 0.383269i | \(0.125202\pi\) |
−0.129898 | + | 0.991527i | \(0.541465\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.10962 | + | 10.5822i | −0.283938 | + | 0.491796i | −0.972351 | − | 0.233523i | \(-0.924974\pi\) |
0.688413 | + | 0.725319i | \(0.258308\pi\) | |||||||
\(464\) | −4.61157 | + | 2.66249i | −0.214087 | + | 0.123603i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.21967 | + | 5.57664i | −0.149148 | + | 0.258333i | ||||
\(467\) | −15.4057 | + | 26.6835i | −0.712893 | + | 1.23477i | 0.250874 | + | 0.968020i | \(0.419282\pi\) |
−0.963767 | + | 0.266747i | \(0.914051\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.7694 | − | 8.29628i | 0.543460 | − | 0.383087i | ||||
\(470\) | −7.95004 | + | 4.58996i | −0.366708 | + | 0.211719i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 1.67386i | − | 0.0770457i | ||||||
\(473\) | 48.4954i | 2.22982i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.7205 | − | 9.07623i | 0.721306 | − | 0.416446i | ||||
\(476\) | −9.47423 | − | 4.38170i | −0.434250 | − | 0.200835i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.31778 | − | 4.01452i | 0.106013 | − | 0.183620i | ||||
\(479\) | 20.8747 | − | 36.1560i | 0.953788 | − | 1.65201i | 0.216670 | − | 0.976245i | \(-0.430481\pi\) |
0.737118 | − | 0.675764i | \(-0.236186\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.83629 | + | 1.06018i | −0.0837276 | + | 0.0483401i | ||||
\(482\) | 5.24722 | − | 9.08846i | 0.239004 | − | 0.413968i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.0326 | − | 17.3769i | −0.456026 | − | 0.789861i | ||||
\(485\) | −9.93146 | − | 5.73393i | −0.450964 | − | 0.260364i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.5832 | + | 18.3306i | 0.479568 | + | 0.830637i | 0.999725 | − | 0.0234338i | \(-0.00745988\pi\) |
−0.520157 | + | 0.854071i | \(0.674127\pi\) | |||||||
\(488\) | 5.17221 | 0.234135 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.21772 | + | 6.66087i | 0.0550109 | + | 0.300908i | ||||
\(491\) | −32.3428 | − | 18.6731i | −1.45961 | − | 0.842707i | −0.460619 | − | 0.887598i | \(-0.652372\pi\) |
−0.998992 | + | 0.0448915i | \(0.985706\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.1942 | + | 10.5044i | 0.819427 | + | 0.473097i | ||||
\(494\) | −16.8333 | + | 9.71873i | −0.757368 | + | 0.437266i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.16655i | 0.276886i | ||||||||
\(497\) | 5.54872 | + | 7.87161i | 0.248894 | + | 0.353090i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.7099 | − | 23.7462i | −0.613738 | − | 1.06303i | −0.990605 | − | 0.136758i | \(-0.956332\pi\) |
0.376867 | − | 0.926267i | \(-0.377001\pi\) | |||||||
\(500\) | 8.76810 | 0.392121 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.85271i | 0.350484i | ||||||||
\(503\) | 11.2791 | 0.502909 | 0.251454 | − | 0.967869i | \(-0.419091\pi\) | ||||
0.251454 | + | 0.967869i | \(0.419091\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.14255 | 0.228840 | ||||||||
\(506\) | − | 14.7887i | − | 0.657438i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.31883 | −0.147249 | ||||||||
\(509\) | −9.31667 | − | 16.1370i | −0.412954 | − | 0.715258i | 0.582257 | − | 0.813005i | \(-0.302170\pi\) |
−0.995211 | + | 0.0977470i | \(0.968836\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.76319 | − | 5.97463i | 0.122236 | − | 0.264302i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.97164 | − | 1.71568i | 0.131074 | − | 0.0756753i | ||||
\(515\) | −7.49305 | − | 4.32611i | −0.330183 | − | 0.190631i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −45.8072 | − | 26.4468i | −2.01460 | − | 1.16313i | ||||
\(518\) | 1.28379 | − | 0.116385i | 0.0564065 | − | 0.00511364i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.20979 | −0.184611 | ||||||||
\(521\) | 7.64255 | + | 13.2373i | 0.334826 | + | 0.579936i | 0.983451 | − | 0.181172i | \(-0.0579891\pi\) |
−0.648625 | + | 0.761108i | \(0.724656\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.5991 | − | 18.2437i | −1.38173 | − | 0.797743i | −0.389368 | − | 0.921082i | \(-0.627306\pi\) |
−0.992365 | + | 0.123339i | \(0.960640\pi\) | |||||||
\(524\) | −9.37335 | − | 16.2351i | −0.409477 | − | 0.709235i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.83066 | − | 3.17080i | 0.0798207 | − | 0.138253i | ||||
\(527\) | 21.0697 | − | 12.1646i | 0.917809 | − | 0.529897i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.97989 | + | 13.8216i | −0.346952 | + | 0.600938i | ||||
\(530\) | −0.974668 | + | 1.68817i | −0.0423369 | + | 0.0733296i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.7686 | − | 1.06690i | 0.510232 | − | 0.0462561i | ||||
\(533\) | 0.617243 | − | 0.356365i | 0.0267358 | − | 0.0154359i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.5303i | 0.801135i | ||||||||
\(536\) | − | 5.44252i | − | 0.235081i | ||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.9865 | − | 6.34303i | 0.473660 | − | 0.273467i | ||||
\(539\) | −29.7292 | + | 25.2659i | −1.28053 | + | 1.08828i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.63647 | − | 4.56649i | 0.113351 | − | 0.196329i | −0.803769 | − | 0.594942i | \(-0.797175\pi\) |
0.917119 | + | 0.398613i | \(0.130508\pi\) | |||||||
\(542\) | −9.93828 | + | 17.2136i | −0.426886 | + | 0.739388i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.41677 | + | 1.97267i | −0.146493 | + | 0.0845776i | ||||
\(545\) | −9.30729 | + | 16.1207i | −0.398680 | + | 0.690535i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.29831 | − | 16.1051i | −0.397567 | − | 0.688606i | 0.595858 | − | 0.803090i | \(-0.296812\pi\) |
−0.993425 | + | 0.114484i | \(0.963479\pi\) | |||||||
\(548\) | 14.6656 | + | 8.46717i | 0.626482 | + | 0.361700i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.3264 | + | 19.6179i | 0.482958 | + | 0.836508i | ||||
\(551\) | −23.7832 | −1.01320 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.95268 | + | 7.01567i | −0.423231 | + | 0.298337i | ||||
\(554\) | −6.46579 | − | 3.73302i | −0.274705 | − | 0.158601i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.5033 | + | 6.06406i | 0.445438 | + | 0.257174i | ||||
\(557\) | −23.8694 | + | 13.7810i | −1.01138 | + | 0.583920i | −0.911595 | − | 0.411089i | \(-0.865149\pi\) |
−0.0997845 | + | 0.995009i | \(0.531815\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 37.8662i | 1.60157i | ||||||||
\(560\) | 2.32290 | + | 1.07431i | 0.0981605 | + | 0.0453979i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.1282 | − | 19.2746i | −0.469416 | − | 0.813052i | ||||
\(563\) | 18.8515 | 0.794497 | 0.397249 | − | 0.917711i | \(-0.369965\pi\) | ||||
0.397249 | + | 0.917711i | \(0.369965\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.16727i | 0.343600i | ||||||||
\(566\) | −16.1802 | −0.680106 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.64006 | 0.152734 | ||||||||
\(569\) | 4.46988i | 0.187387i | 0.995601 | + | 0.0936936i | \(0.0298674\pi\) | ||||
−0.995601 | + | 0.0936936i | \(0.970133\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.6249 | 0.779428 | 0.389714 | − | 0.920936i | \(-0.372574\pi\) | ||||
0.389714 | + | 0.920936i | \(0.372574\pi\) | |||||||
\(572\) | −12.1282 | − | 21.0066i | −0.507104 | − | 0.878329i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.431528 | + | 0.0391210i | −0.0180116 | + | 0.00163288i | ||||
\(575\) | 10.7839i | 0.449721i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.9418 | − | 18.4416i | 1.32976 | − | 0.767735i | 0.344495 | − | 0.938788i | \(-0.388050\pi\) |
0.985262 | + | 0.171053i | \(0.0547170\pi\) | |||||||
\(578\) | −1.24210 | − | 0.717124i | −0.0516644 | − | 0.0298284i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.46088 | − | 2.57549i | −0.185228 | − | 0.106941i | ||||
\(581\) | −20.2185 | − | 9.35079i | −0.838806 | − | 0.387936i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.2319 | −0.465176 | ||||||||
\(584\) | −1.24401 | − | 2.15468i | −0.0514773 | − | 0.0891614i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.68002 | − | 4.43406i | −0.317259 | − | 0.183170i | ||||
\(587\) | −13.2295 | − | 22.9141i | −0.546039 | − | 0.945766i | −0.998541 | − | 0.0540032i | \(-0.982802\pi\) |
0.452502 | − | 0.891763i | \(-0.350531\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.7709 | + | 23.8520i | −0.567422 | + | 0.982803i | ||||
\(590\) | 1.40224 | − | 0.809584i | 0.0577293 | − | 0.0333300i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.243608 | − | 0.421942i | 0.0100122 | − | 0.0173417i | ||||
\(593\) | 17.3351 | − | 30.0254i | 0.711869 | − | 1.23299i | −0.252285 | − | 0.967653i | \(-0.581182\pi\) |
0.964155 | − | 0.265341i | \(-0.0854845\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.911654 | − | 10.0561i | −0.0373742 | − | 0.412259i | ||||
\(596\) | −7.56951 | + | 4.37026i | −0.310059 | + | 0.179013i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 11.5473i | − | 0.472205i | ||||||
\(599\) | − | 24.4887i | − | 1.00058i | −0.865857 | − | 0.500291i | \(-0.833226\pi\) | ||
0.865857 | − | 0.500291i | \(-0.166774\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.3812 | + | 11.1898i | −0.790577 | + | 0.456440i | −0.840166 | − | 0.542330i | \(-0.817542\pi\) |
0.0495885 | + | 0.998770i | \(0.484209\pi\) | |||||||
\(602\) | 9.66321 | − | 20.8940i | 0.393843 | − | 0.851578i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 11.0471 | − | 19.1341i | 0.449499 | − | 0.778555i | ||||
\(605\) | 9.70476 | − | 16.8091i | 0.394554 | − | 0.683388i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −28.2180 | + | 16.2917i | −1.14533 | + | 0.661259i | −0.947746 | − | 0.319026i | \(-0.896644\pi\) |
−0.197589 | + | 0.980285i | \(0.563311\pi\) | |||||||
\(608\) | 2.23317 | − | 3.86796i | 0.0905670 | − | 0.156867i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.50160 | + | 4.33290i | 0.101287 | + | 0.175434i | ||||
\(611\) | −35.7672 | − | 20.6502i | −1.44699 | − | 0.835418i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.86931 | + | 10.1659i | 0.237059 | + | 0.410598i | 0.959869 | − | 0.280449i | \(-0.0904832\pi\) |
−0.722810 | + | 0.691047i | \(0.757150\pi\) | |||||||
\(614\) | −27.1427 | −1.09539 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.33140 | + | 14.6862i | 0.0536438 | + | 0.591723i | ||||
\(617\) | 38.1947 | + | 22.0517i | 1.53766 | + | 0.887770i | 0.998975 | + | 0.0452639i | \(0.0144129\pi\) |
0.538687 | + | 0.842506i | \(0.318920\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.28374 | − | 2.47322i | −0.172178 | − | 0.0994070i | 0.411434 | − | 0.911439i | \(-0.365028\pi\) |
−0.583612 | + | 0.812032i | \(0.698361\pi\) | |||||||
\(620\) | −5.16588 | + | 2.98252i | −0.207467 | + | 0.119781i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.8955i | 0.677447i | ||||||||
\(623\) | 0.983266 | + | 10.8460i | 0.0393937 | + | 0.434536i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.91991 | − | 10.2536i | −0.236797 | − | 0.410144i | ||||
\(626\) | 4.27739 | 0.170959 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.42457i | 0.0568467i | ||||||||
\(629\) | −1.92224 | −0.0766447 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.08478 | −0.361659 | −0.180830 | − | 0.983514i | \(-0.557878\pi\) | ||||
−0.180830 | + | 0.983514i | \(0.557878\pi\) | |||||||
\(632\) | 4.60242i | 0.183074i | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −6.62940 | −0.263287 | ||||||||
\(635\) | −1.60519 | − | 2.78027i | −0.0637001 | − | 0.110332i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.2132 | + | 19.7282i | −0.919739 | + | 0.781658i | ||||
\(638\) | − | 29.6794i | − | 1.17502i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.837727 | − | 0.483662i | 0.0331141 | − | 0.0191184i | ||||
\(641\) | 12.1954 | + | 7.04105i | 0.481691 | + | 0.278105i | 0.721121 | − | 0.692809i | \(-0.243627\pi\) |
−0.239430 | + | 0.970914i | \(0.576960\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.33157 | + | 4.23288i | 0.289129 | + | 0.166929i | 0.637549 | − | 0.770410i | \(-0.279948\pi\) |
−0.348420 | + | 0.937339i | \(0.613282\pi\) | |||||||
\(644\) | −2.94680 | + | 6.37165i | −0.116120 | + | 0.251078i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.6212 | −0.693299 | ||||||||
\(647\) | 12.1662 | + | 21.0725i | 0.478304 | + | 0.828446i | 0.999691 | − | 0.0248742i | \(-0.00791854\pi\) |
−0.521387 | + | 0.853320i | \(0.674585\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.07955 | + | 4.66473i | 0.317150 | + | 0.183107i | ||||
\(650\) | 8.84386 | + | 15.3180i | 0.346885 | + | 0.600822i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.72148 | − | 6.44579i | 0.145744 | − | 0.252437i | ||||
\(653\) | 36.0653 | − | 20.8223i | 1.41134 | − | 0.814840i | 0.415829 | − | 0.909443i | \(-0.363491\pi\) |
0.995515 | + | 0.0946029i | \(0.0301581\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.06707 | − | 15.7046i | 0.354280 | − | 0.613631i | ||||
\(656\) | −0.0818856 | + | 0.141830i | −0.00319709 | + | 0.00553753i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 14.4661 | + | 20.5221i | 0.563946 | + | 0.800033i | ||||
\(659\) | 9.09866 | − | 5.25312i | 0.354434 | − | 0.204632i | −0.312203 | − | 0.950016i | \(-0.601067\pi\) |
0.666636 | + | 0.745383i | \(0.267733\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.5131i | 0.758972i | 0.925198 | + | 0.379486i | \(0.123899\pi\) | ||||
−0.925198 | + | 0.379486i | \(0.876101\pi\) | |||||||
\(662\) | 0.757792i | 0.0294524i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.29158 | + | 4.20979i | −0.282968 | + | 0.163372i | ||||
\(665\) | 6.58578 | + | 9.34282i | 0.255386 | + | 0.362299i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.06450 | − | 12.2361i | 0.273539 | − | 0.473783i | ||||
\(668\) | −3.24855 | + | 5.62665i | −0.125690 | + | 0.217702i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.55935 | − | 2.63234i | 0.176143 | − | 0.101696i | ||||
\(671\) | −14.4140 | + | 24.9657i | −0.556445 | + | 0.963790i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.10277 | − | 5.37415i | −0.119603 | − | 0.207158i | 0.800007 | − | 0.599990i | \(-0.204829\pi\) |
−0.919610 | + | 0.392832i | \(0.871495\pi\) | |||||||
\(674\) | −1.75089 | − | 1.01088i | −0.0674419 | − | 0.0389376i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.96991 | − | 5.14404i | −0.114227 | − | 0.197848i | ||||
\(677\) | −24.7531 | −0.951339 | −0.475669 | − | 0.879624i | \(-0.657794\pi\) | ||||
−0.475669 | + | 0.879624i | \(0.657794\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −13.1664 | + | 28.4688i | −0.505281 | + | 1.09253i | ||||
\(680\) | −3.30512 | − | 1.90821i | −0.126746 | − | 0.0731767i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −29.7652 | − | 17.1850i | −1.13977 | − | 0.658046i | ||||
\(683\) | 18.3119 | − | 10.5724i | 0.700687 | − | 0.404542i | −0.106916 | − | 0.994268i | \(-0.534098\pi\) |
0.807603 | + | 0.589726i | \(0.200764\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.3810i | 0.625886i | ||||||||
\(686\) | 17.8432 | − | 4.96188i | 0.681257 | − | 0.189445i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.35045 | − | 7.53520i | −0.165859 | − | 0.287277i | ||||
\(689\) | −8.77006 | −0.334113 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.44470i | 0.245168i | 0.992458 | + | 0.122584i | \(0.0391181\pi\) | ||||
−0.992458 | + | 0.122584i | \(0.960882\pi\) | |||||||
\(692\) | 11.8188 | 0.449282 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −20.9661 | −0.795864 | ||||||||
\(695\) | 11.7318i | 0.445014i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.646134 | 0.0244741 | ||||||||
\(698\) | 3.09694 | + | 5.36406i | 0.117221 | + | 0.203033i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.970861 | − | 10.7092i | −0.0366951 | − | 0.404768i | ||||
\(701\) | 24.5717i | 0.928061i | 0.885819 | + | 0.464031i | \(0.153597\pi\) | ||||
−0.885819 | + | 0.464031i | \(0.846403\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.88454 | − | 1.08804i | 0.0710767 | − | 0.0410361i | ||||
\(704\) | 4.82689 | + | 2.78681i | 0.181920 | + | 0.105032i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 16.3140 | + | 9.41889i | 0.613985 | + | 0.354484i | ||||
\(707\) | −1.26993 | − | 14.0081i | −0.0477606 | − | 0.526827i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 44.2740 | 1.66275 | 0.831373 | − | 0.555715i | \(-0.187555\pi\) | ||||
0.831373 | + | 0.555715i | \(0.187555\pi\) | |||||||
\(710\) | 1.76056 | + | 3.04938i | 0.0660727 | + | 0.114441i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.56475 | + | 2.05811i | 0.133595 | + | 0.0771309i | ||||
\(713\) | −8.18098 | − | 14.1699i | −0.306380 | − | 0.530666i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.7319 | − | 20.3202i | 0.438747 | − | 0.759931i | ||||
\(716\) | −2.10764 | + | 1.21685i | −0.0787663 | + | 0.0454757i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 13.8988 | − | 24.0735i | 0.518700 | − | 0.898415i | ||||
\(719\) | −2.22433 | + | 3.85266i | −0.0829537 | + | 0.143680i | −0.904517 | − | 0.426437i | \(-0.859769\pi\) |
0.821564 | + | 0.570117i | \(0.193102\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.93376 | + | 21.4790i | −0.369952 | + | 0.799921i | ||||
\(722\) | 0.821146 | − | 0.474089i | 0.0305599 | − | 0.0176438i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 11.5342i | − | 0.428663i | ||||||
\(725\) | 21.6422i | 0.803773i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.4270 | − | 17.5670i | 1.12848 | − | 0.651525i | 0.184924 | − | 0.982753i | \(-0.440796\pi\) |
0.943551 | + | 0.331227i | \(0.107463\pi\) | |||||||
\(728\) | 1.03959 | + | 11.4673i | 0.0385297 | + | 0.425005i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.20336 | − | 2.08428i | 0.0445382 | − | 0.0771425i | ||||
\(731\) | −17.1640 | + | 29.7289i | −0.634834 | + | 1.09956i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.03789 | + | 2.90863i | −0.186079 | + | 0.107433i | −0.590145 | − | 0.807297i | \(-0.700930\pi\) |
0.404067 | + | 0.914729i | \(0.367596\pi\) | |||||||
\(734\) | −10.8767 | + | 18.8390i | −0.401467 | + | 0.695360i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.32667 | + | 2.29786i | 0.0489018 | + | 0.0847003i | ||||
\(737\) | 26.2704 | + | 15.1672i | 0.967684 | + | 0.558693i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.51675 | − | 9.55529i | −0.202937 | − | 0.351497i | 0.746537 | − | 0.665344i | \(-0.231715\pi\) |
−0.949473 | + | 0.313847i | \(0.898382\pi\) | |||||||
\(740\) | 0.471297 | 0.0173252 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.83920 | + | 2.23806i | 0.177652 | + | 0.0821618i | ||||
\(743\) | 0.543196 | + | 0.313615i | 0.0199279 | + | 0.0115054i | 0.509931 | − | 0.860215i | \(-0.329671\pi\) |
−0.490003 | + | 0.871721i | \(0.663004\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.32216 | − | 4.22745i | −0.268263 | − | 0.154882i | ||||
\(746\) | −10.1595 | + | 5.86560i | −0.371966 | + | 0.214755i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 21.9898i | − | 0.804028i | ||||||
\(749\) | 50.4757 | − | 4.57598i | 1.84434 | − | 0.167202i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.23529 | − | 3.87163i | −0.0815668 | − | 0.141278i | 0.822356 | − | 0.568973i | \(-0.192659\pi\) |
−0.903923 | + | 0.427695i | \(0.859326\pi\) | |||||||
\(752\) | 9.49001 | 0.346065 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 23.1743i | − | 0.843957i | ||||||
\(755\) | 21.3722 | 0.777813 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.75624 | 0.209214 | 0.104607 | − | 0.994514i | \(-0.466642\pi\) | ||||
0.104607 | + | 0.994514i | \(0.466642\pi\) | |||||||
\(758\) | − | 34.8881i | − | 1.26719i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.32040 | 0.156717 | ||||||||
\(761\) | 10.4970 | + | 18.1813i | 0.380516 | + | 0.659073i | 0.991136 | − | 0.132851i | \(-0.0424131\pi\) |
−0.610620 | + | 0.791924i | \(0.709080\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 46.2104 | + | 21.3717i | 1.67293 | + | 0.773707i | ||||
\(764\) | − | 22.0689i | − | 0.798425i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.2609 | + | 5.92412i | −0.370740 | + | 0.214047i | ||||
\(767\) | 6.30868 | + | 3.64232i | 0.227793 | + | 0.131516i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 34.1729 | + | 19.7298i | 1.23231 | + | 0.711473i | 0.967511 | − | 0.252831i | \(-0.0813616\pi\) |
0.264797 | + | 0.964304i | \(0.414695\pi\) | |||||||
\(770\) | −11.6591 | + | 8.21849i | −0.420163 | + | 0.296174i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 19.9396 | 0.717641 | ||||||||
\(773\) | −17.3164 | − | 29.9929i | −0.622829 | − | 1.07877i | −0.988956 | − | 0.148206i | \(-0.952650\pi\) |
0.366128 | − | 0.930565i | \(-0.380683\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.7048 | + | 12.5313i | 0.779661 | + | 0.450137i | ||||
\(776\) | 5.92762 | + | 10.2669i | 0.212789 | + | 0.368562i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.17672 | − | 5.50224i | 0.113891 | − | 0.197265i | ||||
\(779\) | −0.633461 | + | 0.365729i | −0.0226961 | + | 0.0131036i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.1442 | + | 17.5702i | −0.362986 | + | 0.628711i | ||||
\(782\) | 5.23418 | − | 9.06586i | 0.187174 | − | 0.324195i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.35274 | − | 6.59277i | 0.0840264 | − | 0.235456i | ||||
\(785\) | −1.19340 | + | 0.689012i | −0.0425944 | + | 0.0245919i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 35.3099i | − | 1.25866i | −0.777137 | − | 0.629332i | \(-0.783329\pi\) | ||
0.777137 | − | 0.629332i | \(-0.216671\pi\) | |||||||
\(788\) | − | 4.62560i | − | 0.164780i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.85557 | + | 2.22601i | −0.137175 | + | 0.0791980i | ||||
\(791\) | 22.2473 | − | 2.01687i | 0.791022 | − | 0.0717116i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.2547 | + | 19.4937i | −0.399667 | + | 0.692243i | ||||
\(794\) | −4.28768 | + | 7.42647i | −0.152164 | + | 0.263556i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 18.1024 | − | 10.4514i | 0.641622 | − | 0.370441i | ||||
\(797\) | −9.60992 | + | 16.6449i | −0.340401 | + | 0.589591i | −0.984507 | − | 0.175344i | \(-0.943896\pi\) |
0.644106 | + | 0.764936i | \(0.277229\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.7207 | − | 32.4252i | −0.662290 | − | 1.14712i | ||||
\(800\) | −3.51977 | − | 2.03214i | −0.124443 | − | 0.0718471i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.5595 | − | 20.0216i | −0.408180 | − | 0.706989i | ||||
\(803\) | 13.8672 | 0.489363 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.76296 | + | 0.613110i | −0.238363 | + | 0.0216093i | ||||
\(806\) | −23.2413 | − | 13.4184i | −0.818640 | − | 0.472642i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.60402 | − | 2.65813i | −0.161969 | − | 0.0935127i | ||||
\(809\) | 34.0157 | − | 19.6390i | 1.19593 | − | 0.690469i | 0.236283 | − | 0.971684i | \(-0.424071\pi\) |
0.959645 | + | 0.281215i | \(0.0907374\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 9.68436i | − | 0.340064i | −0.985439 | − | 0.170032i | \(-0.945613\pi\) | ||
0.985439 | − | 0.170032i | \(-0.0543871\pi\) | |||||||
\(812\) | −5.91393 | + | 12.7872i | −0.207538 | + | 0.448744i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.35778 | + | 2.35174i | 0.0475901 | + | 0.0824285i | ||||
\(815\) | 7.19975 | 0.252196 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 38.8611i | − | 1.35958i | ||||||
\(818\) | 1.55989 | 0.0545404 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.158420 | −0.00553226 | ||||||||
\(821\) | 12.6924i | 0.442968i | 0.975164 | + | 0.221484i | \(0.0710900\pi\) | ||||
−0.975164 | + | 0.221484i | \(0.928910\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.4767 | 0.609201 | 0.304600 | − | 0.952480i | \(-0.401477\pi\) | ||||
0.304600 | + | 0.952480i | \(0.401477\pi\) | |||||||
\(824\) | 4.47225 | + | 7.74616i | 0.155798 | + | 0.269850i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.55154 | − | 3.61971i | −0.0887796 | − | 0.125946i | ||||
\(827\) | 46.9482i | 1.63255i | 0.577665 | + | 0.816274i | \(0.303964\pi\) | ||||
−0.577665 | + | 0.816274i | \(0.696036\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.99797 | + | 1.15353i | −0.0693924 | + | 0.0400637i | −0.534295 | − | 0.845298i | \(-0.679423\pi\) |
0.464902 | + | 0.885362i | \(0.346089\pi\) | |||||||
\(830\) | −7.05332 | − | 4.07224i | −0.244824 | − | 0.141349i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.76893 | + | 2.17600i | 0.130664 | + | 0.0754391i | ||||
\(833\) | −27.1672 | + | 4.96661i | −0.941286 | + | 0.172083i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.28480 | −0.217495 | ||||||||
\(836\) | 12.4468 | + | 21.5585i | 0.430482 | + | 0.745617i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.90321 | + | 3.40822i | 0.203923 | + | 0.117735i | ||||
\(839\) | −8.51664 | − | 14.7513i | −0.294027 | − | 0.509270i | 0.680731 | − | 0.732533i | \(-0.261662\pi\) |
−0.974758 | + | 0.223264i | \(0.928329\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.322276 | + | 0.558199i | −0.0111130 | + | 0.0192482i | ||||
\(842\) | −11.7039 | + | 6.75727i | −0.403344 | + | 0.232871i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.34310 | − | 5.79042i | 0.115074 | − | 0.199314i | ||||
\(845\) | 2.87287 | − | 4.97595i | 0.0988296 | − | 0.171178i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −48.1838 | − | 22.2844i | −1.65562 | − | 0.765700i | ||||
\(848\) | 1.74520 | − | 1.00759i | 0.0599304 | − | 0.0346008i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.0350i | 0.549996i | ||||||||
\(851\) | 1.29275i | 0.0443150i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.87158 | − | 1.65791i | 0.0983209 | − | 0.0567656i | −0.450033 | − | 0.893012i | \(-0.648588\pi\) |
0.548354 | + | 0.836246i | \(0.315255\pi\) | |||||||
\(854\) | 11.1849 | − | 7.88424i | 0.382738 | − | 0.269793i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.57813 | − | 16.5898i | 0.327374 | − | 0.567028i | ||||
\(857\) | 4.74512 | − | 8.21879i | 0.162090 | − | 0.280748i | −0.773528 | − | 0.633762i | \(-0.781510\pi\) |
0.935618 | + | 0.353014i | \(0.114843\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.5104 | + | 14.7284i | −0.870404 | + | 0.502528i | −0.867482 | − | 0.497468i | \(-0.834263\pi\) |
−0.00292142 | + | 0.999996i | \(0.500930\pi\) | |||||||
\(860\) | 4.20829 | − | 7.28898i | 0.143502 | − | 0.248552i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.07990 | + | 12.2628i | 0.241143 | + | 0.417671i | ||||
\(863\) | −13.4610 | − | 7.77172i | −0.458218 | − | 0.264553i | 0.253076 | − | 0.967446i | \(-0.418558\pi\) |
−0.711295 | + | 0.702894i | \(0.751891\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.71629 | + | 9.90090i | 0.194360 | + | 0.336641i | ||||
\(866\) | 23.4830 | 0.797985 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.39995 | + | 13.3351i | 0.319055 | + | 0.452623i | ||||
\(869\) | −22.2154 | − | 12.8260i | −0.753604 | − | 0.435094i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.5125 | + | 11.8429i | 0.695039 | + | 0.401281i | ||||
\(872\) | 16.6652 | − | 9.62168i | 0.564356 | − | 0.325831i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.8507i | 0.400857i | ||||||||
\(875\) | 18.9609 | − | 13.3656i | 0.640997 | − | 0.451840i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.7249 | + | 39.3606i | 0.767364 | + | 1.32911i | 0.938988 | + | 0.343950i | \(0.111765\pi\) |
−0.171624 | + | 0.985163i | \(0.554901\pi\) | |||||||
\(878\) | 4.23080 | 0.142783 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.39149i | 0.181747i | ||||||||
\(881\) | −15.6912 | −0.528651 | −0.264326 | − | 0.964433i | \(-0.585149\pi\) | ||||
−0.264326 | + | 0.964433i | \(0.585149\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.5344 | −0.354510 | −0.177255 | − | 0.984165i | \(-0.556722\pi\) | ||||
−0.177255 | + | 0.984165i | \(0.556722\pi\) | |||||||
\(884\) | − | 17.1701i | − | 0.577493i | ||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −29.8098 | −1.00148 | ||||||||
\(887\) | −0.0302741 | − | 0.0524362i | −0.00101650 | − | 0.00176064i | 0.865517 | − | 0.500880i | \(-0.166990\pi\) |
−0.866533 | + | 0.499119i | \(0.833657\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.17694 | + | 5.05904i | −0.240707 | + | 0.169675i | ||||
\(890\) | 3.98172i | 0.133467i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.08622 | + | 4.09123i | −0.237264 | + | 0.136985i | ||||
\(893\) | 36.7070 | + | 21.1928i | 1.22835 | + | 0.709190i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.03877 | − | 1.17709i | −0.0681487 | − | 0.0393456i | ||||
\(896\) | −1.52435 | − | 2.16249i | −0.0509248 | − | 0.0722438i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.41716 | −0.280884 | ||||||||
\(899\) | −16.4184 | − | 28.4375i | −0.547583 | − | 0.948442i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.88542 | − | 3.97530i | −0.229386 | − | 0.132436i | ||||
\(902\) | −0.456399 | − | 0.790505i | −0.0151964 | − | 0.0263210i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.22158 | − | 7.31199i | 0.140408 | − | 0.243193i | ||||
\(905\) | 9.66247 | − | 5.57863i | 0.321192 | − | 0.185440i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.0490 | + | 20.8695i | −0.400081 | + | 0.692961i | −0.993735 | − | 0.111760i | \(-0.964351\pi\) |
0.593654 | + | 0.804720i | \(0.297685\pi\) | |||||||
\(908\) | −5.34688 | + | 9.26106i | −0.177442 | + | 0.307339i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.10363 | + | 6.41717i | −0.301782 | + | 0.212727i | ||||
\(911\) | −22.0494 | + | 12.7302i | −0.730528 | + | 0.421771i | −0.818615 | − | 0.574342i | \(-0.805258\pi\) |
0.0880873 | + | 0.996113i | \(0.471925\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 46.9275i | − | 1.55307i | ||||||
\(914\) | 3.88219i | 0.128411i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.2942 | + | 14.6036i | −0.835744 | + | 0.482517i | ||||
\(917\) | −45.0177 | − | 20.8201i | −1.48662 | − | 0.687540i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.4534 | − | 19.8378i | 0.377812 | − | 0.654389i | −0.612932 | − | 0.790136i | \(-0.710010\pi\) |
0.990744 | + | 0.135747i | \(0.0433433\pi\) | |||||||
\(920\) | −1.28332 | + | 2.22278i | −0.0423098 | + | 0.0732828i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 29.5181 | − | 17.0423i | 0.972128 | − | 0.561258i | ||||
\(923\) | −7.92076 | + | 13.7192i | −0.260715 | + | 0.451572i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.990094 | − | 1.71489i | −0.0325541 | − | 0.0563853i | ||||
\(926\) | 10.5822 | + | 6.10962i | 0.347752 | + | 0.200775i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.66249 | + | 4.61157i | 0.0874006 | + | 0.151382i | ||||
\(929\) | −28.7973 | −0.944809 | −0.472404 | − | 0.881382i | \(-0.656614\pi\) | ||||
−0.472404 | + | 0.881382i | \(0.656614\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 23.8231 | − | 20.2465i | 0.780770 | − | 0.663553i | ||||
\(932\) | 5.57664 | + | 3.21967i | 0.182669 | + | 0.105464i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.6835 | + | 15.4057i | 0.873112 | + | 0.504091i | ||||
\(935\) | 18.4215 | − | 10.6356i | 0.602447 | − | 0.347823i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 53.6825i | − | 1.75373i | −0.480736 | − | 0.876865i | \(-0.659631\pi\) | ||
0.480736 | − | 0.876865i | \(-0.340369\pi\) | |||||||
\(938\) | −8.29628 | − | 11.7694i | −0.270883 | − | 0.384284i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.58996 | + | 7.95004i | 0.149708 | + | 0.259302i | ||||
\(941\) | 45.9021 | 1.49637 | 0.748184 | − | 0.663492i | \(-0.230926\pi\) | ||||
0.748184 | + | 0.663492i | \(0.230926\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 0.434541i | − | 0.0141506i | ||||||
\(944\) | −1.67386 | −0.0544796 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 48.4954 | 1.57672 | ||||||||
\(947\) | − | 28.9183i | − | 0.939718i | −0.882741 | − | 0.469859i | \(-0.844305\pi\) | ||
0.882741 | − | 0.469859i | \(-0.155695\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.8278 | 0.351485 | ||||||||
\(950\) | −9.07623 | − | 15.7205i | −0.294472 | − | 0.510040i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4.38170 | + | 9.47423i | −0.142012 | + | 0.307061i | ||||
\(953\) | 12.8715i | 0.416949i | 0.978028 | + | 0.208475i | \(0.0668498\pi\) | ||||
−0.978028 | + | 0.208475i | \(0.933150\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 18.4877 | − | 10.6739i | 0.598249 | − | 0.345399i | ||||
\(956\) | −4.01452 | − | 2.31778i | −0.129839 | − | 0.0749624i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −36.1560 | − | 20.8747i | −1.16815 | − | 0.674430i | ||||
\(959\) | 44.6211 | − | 4.04521i | 1.44089 | − | 0.130627i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.02628 | −0.226654 | ||||||||
\(962\) | 1.06018 | + | 1.83629i | 0.0341816 | + | 0.0592043i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.08846 | − | 5.24722i | −0.292719 | − | 0.169002i | ||||
\(965\) | 9.64402 | + | 16.7039i | 0.310452 | + | 0.537719i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.11725 | − | 5.39923i | 0.100244 | − | 0.173627i | −0.811541 | − | 0.584295i | \(-0.801371\pi\) |
0.911785 | + | 0.410668i | \(0.134704\pi\) | |||||||
\(968\) | −17.3769 | + | 10.0326i | −0.558516 | + | 0.322459i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.73393 | + | 9.93146i | −0.184105 | + | 0.318880i | ||||
\(971\) | 19.6863 | − | 34.0977i | 0.631764 | − | 1.09425i | −0.355426 | − | 0.934704i | \(-0.615664\pi\) |
0.987191 | − | 0.159544i | \(-0.0510023\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 31.9570 | − | 2.89712i | 1.02449 | − | 0.0928774i | ||||
\(974\) | 18.3306 | − | 10.5832i | 0.587349 | − | 0.339106i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 5.17221i | − | 0.165559i | ||||||
\(977\) | − | 26.8438i | − | 0.858809i | −0.903112 | − | 0.429405i | \(-0.858723\pi\) | ||
0.903112 | − | 0.429405i | \(-0.141277\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.8685 | + | 11.4711i | −0.635001 | + | 0.366618i | ||||
\(980\) | 6.66087 | − | 1.21772i | 0.212774 | − | 0.0388986i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −18.6731 | + | 32.3428i | −0.595884 | + | 1.03210i | ||||
\(983\) | −5.98457 | + | 10.3656i | −0.190878 | + | 0.330611i | −0.945541 | − | 0.325502i | \(-0.894467\pi\) |
0.754663 | + | 0.656112i | \(0.227800\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.87499 | − | 2.23723i | 0.123467 | − | 0.0712839i | ||||
\(986\) | 10.5044 | − | 18.1942i | 0.334530 | − | 0.579423i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.71873 | + | 16.8333i | 0.309194 | + | 0.535540i | ||||
\(989\) | 19.9935 | + | 11.5432i | 0.635755 | + | 0.367053i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.40420 | − | 9.36036i | −0.171670 | − | 0.297342i | 0.767334 | − | 0.641248i | \(-0.221583\pi\) |
−0.939004 | + | 0.343906i | \(0.888250\pi\) | |||||||
\(992\) | 6.16655 | 0.195788 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 7.87161 | − | 5.54872i | 0.249672 | − | 0.175995i | ||||
\(995\) | 17.5109 | + | 10.1099i | 0.555132 | + | 0.320506i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.6653 | − | 6.73498i | −0.369445 | − | 0.213299i | 0.303771 | − | 0.952745i | \(-0.401754\pi\) |
−0.673216 | + | 0.739446i | \(0.735088\pi\) | |||||||
\(998\) | −23.7462 | + | 13.7099i | −0.751672 | + | 0.433978i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))