Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(227,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, 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("882.227");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.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: | \(7.04280545828\) |
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: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 509.4 | ||
Root | \(1.62181 - 0.608059i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.509 |
Dual form | 882.2.l.a.227.8 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | ||||||
\(3\) | 1.33750 | + | 1.10050i | 0.772205 | + | 0.635373i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.94556 | + | 3.36980i | 0.870080 | + | 1.50702i | 0.861913 | + | 0.507056i | \(0.169266\pi\) |
0.00816625 | + | 0.999967i | \(0.497401\pi\) | |||||||
\(6\) | 1.10050 | − | 1.33750i | 0.449277 | − | 0.546032i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.577806 | + | 2.94383i | 0.192602 | + | 0.981277i | ||||
\(10\) | 3.36980 | − | 1.94556i | 1.06563 | − | 0.615239i | ||||
\(11\) | −3.41614 | − | 1.97231i | −1.03001 | − | 0.594674i | −0.113019 | − | 0.993593i | \(-0.536052\pi\) |
−0.916986 | + | 0.398919i | \(0.869385\pi\) | |||||||
\(12\) | −1.33750 | − | 1.10050i | −0.386103 | − | 0.317687i | ||||
\(13\) | 2.46687 | + | 1.42425i | 0.684186 | + | 0.395015i | 0.801430 | − | 0.598088i | \(-0.204073\pi\) |
−0.117244 | + | 0.993103i | \(0.537406\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.10628 | + | 6.64819i | −0.285641 | + | 1.71656i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.371058 | − | 0.642692i | −0.0899949 | − | 0.155876i | 0.817514 | − | 0.575909i | \(-0.195352\pi\) |
−0.907509 | + | 0.420033i | \(0.862018\pi\) | |||||||
\(18\) | 2.94383 | − | 0.577806i | 0.693868 | − | 0.136190i | ||||
\(19\) | 1.54563 | + | 0.892369i | 0.354591 | + | 0.204723i | 0.666706 | − | 0.745321i | \(-0.267704\pi\) |
−0.312114 | + | 0.950045i | \(0.601037\pi\) | |||||||
\(20\) | −1.94556 | − | 3.36980i | −0.435040 | − | 0.753511i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.97231 | + | 3.41614i | −0.420498 | + | 0.728324i | ||||
\(23\) | 5.41535 | − | 3.12656i | 1.12918 | − | 0.651932i | 0.185451 | − | 0.982654i | \(-0.440626\pi\) |
0.943728 | + | 0.330722i | \(0.107292\pi\) | |||||||
\(24\) | −1.10050 | + | 1.33750i | −0.224638 | + | 0.273016i | ||||
\(25\) | −5.07039 | + | 8.78217i | −1.01408 | + | 1.75643i | ||||
\(26\) | 1.42425 | − | 2.46687i | 0.279318 | − | 0.483793i | ||||
\(27\) | −2.46687 | + | 4.57324i | −0.474749 | + | 0.880121i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.50079 | + | 1.44383i | −0.464385 | + | 0.268113i | −0.713886 | − | 0.700262i | \(-0.753067\pi\) |
0.249501 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(30\) | 6.64819 | + | 1.10628i | 1.21379 | + | 0.201979i | ||||
\(31\) | − | 3.51174i | − | 0.630726i | −0.948971 | − | 0.315363i | \(-0.897874\pi\) | ||
0.948971 | − | 0.315363i | \(-0.102126\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −2.39856 | − | 6.39742i | −0.417536 | − | 1.11365i | ||||
\(34\) | −0.642692 | + | 0.371058i | −0.110221 | + | 0.0636360i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.577806 | − | 2.94383i | −0.0963009 | − | 0.490638i | ||||
\(37\) | −1.50079 | + | 2.59944i | −0.246728 | + | 0.427346i | −0.962616 | − | 0.270870i | \(-0.912689\pi\) |
0.715888 | + | 0.698215i | \(0.246022\pi\) | |||||||
\(38\) | 0.892369 | − | 1.54563i | 0.144761 | − | 0.250734i | ||||
\(39\) | 1.73205 | + | 4.61971i | 0.277350 | + | 0.739746i | ||||
\(40\) | −3.36980 | + | 1.94556i | −0.532813 | + | 0.307620i | ||||
\(41\) | −5.24705 | + | 9.08816i | −0.819452 | + | 1.41933i | 0.0866345 | + | 0.996240i | \(0.472389\pi\) |
−0.906087 | + | 0.423092i | \(0.860945\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.471521 | + | 0.816699i | 0.0719063 | + | 0.124545i | 0.899737 | − | 0.436433i | \(-0.143758\pi\) |
−0.827830 | + | 0.560978i | \(0.810425\pi\) | |||||||
\(44\) | 3.41614 | + | 1.97231i | 0.515003 | + | 0.297337i | ||||
\(45\) | −8.79598 | + | 7.67448i | −1.31123 | + | 1.14404i | ||||
\(46\) | −3.12656 | − | 5.41535i | −0.460985 | − | 0.798450i | ||||
\(47\) | −2.18525 | −0.318752 | −0.159376 | − | 0.987218i | \(-0.550948\pi\) | ||||
−0.159376 | + | 0.987218i | \(0.550948\pi\) | |||||||
\(48\) | 1.33750 | + | 1.10050i | 0.193051 | + | 0.158843i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 8.78217 | + | 5.07039i | 1.24199 | + | 0.717061i | ||||
\(51\) | 0.210992 | − | 1.26795i | 0.0295447 | − | 0.177548i | ||||
\(52\) | −2.46687 | − | 1.42425i | −0.342093 | − | 0.197507i | ||||
\(53\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(54\) | 4.57324 | + | 2.46687i | 0.622340 | + | 0.335698i | ||||
\(55\) | − | 15.3490i | − | 2.06965i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.08523 | + | 2.89450i | 0.143742 | + | 0.383386i | ||||
\(58\) | 1.44383 | + | 2.50079i | 0.189584 | + | 0.328370i | ||||
\(59\) | −0.0211346 | −0.00275149 | −0.00137575 | − | 0.999999i | \(-0.500438\pi\) | ||||
−0.00137575 | + | 0.999999i | \(0.500438\pi\) | |||||||
\(60\) | 1.10628 | − | 6.64819i | 0.142821 | − | 0.858278i | ||||
\(61\) | − | 2.46911i | − | 0.316138i | −0.987428 | − | 0.158069i | \(-0.949473\pi\) | ||
0.987428 | − | 0.158069i | \(-0.0505268\pi\) | |||||||
\(62\) | −3.51174 | −0.445991 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 11.0838i | 1.37478i | ||||||||
\(66\) | −6.39742 | + | 2.39856i | −0.787468 | + | 0.295242i | ||||
\(67\) | 13.4493 | 1.64309 | 0.821544 | − | 0.570144i | \(-0.193113\pi\) | ||||
0.821544 | + | 0.570144i | \(0.193113\pi\) | |||||||
\(68\) | 0.371058 | + | 0.642692i | 0.0449974 | + | 0.0779379i | ||||
\(69\) | 10.6838 | + | 1.77782i | 1.28618 | + | 0.214025i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 1.94304i | − | 0.230597i | −0.993331 | − | 0.115298i | \(-0.963218\pi\) | ||
0.993331 | − | 0.115298i | \(-0.0367824\pi\) | |||||||
\(72\) | −2.94383 | + | 0.577806i | −0.346934 | + | 0.0680950i | ||||
\(73\) | 4.20443 | − | 2.42743i | 0.492092 | − | 0.284109i | −0.233350 | − | 0.972393i | \(-0.574969\pi\) |
0.725442 | + | 0.688284i | \(0.241636\pi\) | |||||||
\(74\) | 2.59944 | + | 1.50079i | 0.302179 | + | 0.174463i | ||||
\(75\) | −16.4464 | + | 6.16618i | −1.89907 | + | 0.712009i | ||||
\(76\) | −1.54563 | − | 0.892369i | −0.177296 | − | 0.102362i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.61971 | − | 1.73205i | 0.523079 | − | 0.196116i | ||||
\(79\) | 3.63613 | 0.409096 | 0.204548 | − | 0.978856i | \(-0.434427\pi\) | ||||
0.204548 | + | 0.978856i | \(0.434427\pi\) | |||||||
\(80\) | 1.94556 | + | 3.36980i | 0.217520 | + | 0.376756i | ||||
\(81\) | −8.33228 | + | 3.40192i | −0.925809 | + | 0.377992i | ||||
\(82\) | 9.08816 | + | 5.24705i | 1.00362 | + | 0.579440i | ||||
\(83\) | −4.02998 | − | 6.98012i | −0.442347 | − | 0.766168i | 0.555516 | − | 0.831506i | \(-0.312521\pi\) |
−0.997863 | + | 0.0653378i | \(0.979188\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.44383 | − | 2.50079i | 0.156605 | − | 0.271249i | ||||
\(86\) | 0.816699 | − | 0.471521i | 0.0880669 | − | 0.0508454i | ||||
\(87\) | −4.93374 | − | 0.820992i | −0.528952 | − | 0.0880196i | ||||
\(88\) | 1.97231 | − | 3.41614i | 0.210249 | − | 0.364162i | ||||
\(89\) | 4.63323 | − | 8.02499i | 0.491122 | − | 0.850647i | −0.508826 | − | 0.860869i | \(-0.669920\pi\) |
0.999948 | + | 0.0102218i | \(0.00325375\pi\) | |||||||
\(90\) | 7.67448 | + | 8.79598i | 0.808962 | + | 0.927178i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −5.41535 | + | 3.12656i | −0.564589 | + | 0.325966i | ||||
\(93\) | 3.86466 | − | 4.69694i | 0.400747 | − | 0.487050i | ||||
\(94\) | 2.18525i | 0.225392i | ||||||||
\(95\) | 6.94462i | 0.712503i | ||||||||
\(96\) | 1.10050 | − | 1.33750i | 0.112319 | − | 0.136508i | ||||
\(97\) | 16.2983 | − | 9.40980i | 1.65484 | − | 0.955421i | 0.679794 | − | 0.733403i | \(-0.262069\pi\) |
0.975043 | − | 0.222018i | \(-0.0712643\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.83228 | − | 11.1962i | 0.385159 | − | 1.12526i | ||||
\(100\) | 5.07039 | − | 8.78217i | 0.507039 | − | 0.878217i | ||||
\(101\) | 4.14079 | − | 7.17206i | 0.412024 | − | 0.713647i | −0.583087 | − | 0.812410i | \(-0.698155\pi\) |
0.995111 | + | 0.0987631i | \(0.0314886\pi\) | |||||||
\(102\) | −1.26795 | − | 0.210992i | −0.125546 | − | 0.0208913i | ||||
\(103\) | 14.7646 | − | 8.52435i | 1.45480 | − | 0.839929i | 0.456051 | − | 0.889953i | \(-0.349263\pi\) |
0.998748 | + | 0.0500247i | \(0.0159300\pi\) | |||||||
\(104\) | −1.42425 | + | 2.46687i | −0.139659 | + | 0.241896i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.4161 | − | 7.16846i | −1.20031 | − | 0.693001i | −0.239689 | − | 0.970850i | \(-0.577045\pi\) |
−0.960625 | + | 0.277848i | \(0.910379\pi\) | |||||||
\(108\) | 2.46687 | − | 4.57324i | 0.237374 | − | 0.440061i | ||||
\(109\) | −5.63998 | − | 9.76874i | −0.540212 | − | 0.935675i | −0.998891 | − | 0.0470733i | \(-0.985011\pi\) |
0.458679 | − | 0.888602i | \(-0.348323\pi\) | |||||||
\(110\) | −15.3490 | −1.46347 | ||||||||
\(111\) | −4.86799 | + | 1.82513i | −0.462049 | + | 0.173234i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.51501 | − | 4.91614i | −0.801024 | − | 0.462472i | 0.0428049 | − | 0.999083i | \(-0.486371\pi\) |
−0.843829 | + | 0.536612i | \(0.819704\pi\) | |||||||
\(114\) | 2.89450 | − | 1.08523i | 0.271095 | − | 0.101641i | ||||
\(115\) | 21.0718 | + | 12.1658i | 1.96495 | + | 1.13447i | ||||
\(116\) | 2.50079 | − | 1.44383i | 0.232192 | − | 0.134056i | ||||
\(117\) | −2.76737 | + | 8.08498i | −0.255844 | + | 0.747457i | ||||
\(118\) | 0.0211346i | 0.00194560i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −6.64819 | − | 1.10628i | −0.606894 | − | 0.100989i | ||||
\(121\) | 2.28001 | + | 3.94910i | 0.207274 | + | 0.359009i | ||||
\(122\) | −2.46911 | −0.223543 | ||||||||
\(123\) | −17.0194 | + | 6.38103i | −1.53459 | + | 0.575358i | ||||
\(124\) | 3.51174i | 0.315363i | ||||||||
\(125\) | −20.0033 | −1.78915 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.94462 | 0.261293 | 0.130646 | − | 0.991429i | \(-0.458295\pi\) | ||||
0.130646 | + | 0.991429i | \(0.458295\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −0.268117 | + | 1.61124i | −0.0236064 | + | 0.141862i | ||||
\(130\) | 11.0838 | 0.972115 | ||||||||
\(131\) | 7.53255 | + | 13.0468i | 0.658122 | + | 1.13990i | 0.981101 | + | 0.193495i | \(0.0619823\pi\) |
−0.322979 | + | 0.946406i | \(0.604684\pi\) | |||||||
\(132\) | 2.39856 | + | 6.39742i | 0.208768 | + | 0.556824i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 13.4493i | − | 1.16184i | ||||||
\(135\) | −20.2104 | + | 0.584648i | −1.73943 | + | 0.0503185i | ||||
\(136\) | 0.642692 | − | 0.371058i | 0.0551104 | − | 0.0318180i | ||||
\(137\) | 13.6139 | + | 7.85997i | 1.16311 | + | 0.671523i | 0.952048 | − | 0.305950i | \(-0.0989739\pi\) |
0.211064 | + | 0.977472i | \(0.432307\pi\) | |||||||
\(138\) | 1.77782 | − | 10.6838i | 0.151338 | − | 0.909465i | ||||
\(139\) | 2.86373 | + | 1.65337i | 0.242898 | + | 0.140237i | 0.616508 | − | 0.787349i | \(-0.288547\pi\) |
−0.373610 | + | 0.927586i | \(0.621880\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.92277 | − | 2.40487i | −0.246142 | − | 0.202526i | ||||
\(142\) | −1.94304 | −0.163056 | ||||||||
\(143\) | −5.61811 | − | 9.73085i | −0.469810 | − | 0.813735i | ||||
\(144\) | 0.577806 | + | 2.94383i | 0.0481505 | + | 0.245319i | ||||
\(145\) | −9.73085 | − | 5.61811i | −0.808103 | − | 0.466559i | ||||
\(146\) | −2.42743 | − | 4.20443i | −0.200896 | − | 0.347961i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.50079 | − | 2.59944i | 0.123364 | − | 0.213673i | ||||
\(149\) | −9.52765 | + | 5.50079i | −0.780535 | + | 0.450642i | −0.836620 | − | 0.547784i | \(-0.815472\pi\) |
0.0560848 | + | 0.998426i | \(0.482138\pi\) | |||||||
\(150\) | 6.16618 | + | 16.4464i | 0.503467 | + | 1.34284i | ||||
\(151\) | 0.719988 | − | 1.24706i | 0.0585918 | − | 0.101484i | −0.835242 | − | 0.549883i | \(-0.814672\pi\) |
0.893834 | + | 0.448399i | \(0.148006\pi\) | |||||||
\(152\) | −0.892369 | + | 1.54563i | −0.0723807 | + | 0.125367i | ||||
\(153\) | 1.67758 | − | 1.46368i | 0.135624 | − | 0.118332i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.8339 | − | 6.83228i | 0.950518 | − | 0.548782i | ||||
\(156\) | −1.73205 | − | 4.61971i | −0.138675 | − | 0.369873i | ||||
\(157\) | − | 16.6071i | − | 1.32539i | −0.748890 | − | 0.662695i | \(-0.769413\pi\) | ||
0.748890 | − | 0.662695i | \(-0.230587\pi\) | |||||||
\(158\) | − | 3.63613i | − | 0.289275i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.36980 | − | 1.94556i | 0.266406 | − | 0.153810i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.40192 | + | 8.33228i | 0.267280 | + | 0.654646i | ||||
\(163\) | 6.19773 | − | 10.7348i | 0.485444 | − | 0.840813i | −0.514416 | − | 0.857541i | \(-0.671991\pi\) |
0.999860 | + | 0.0167274i | \(0.00532476\pi\) | |||||||
\(164\) | 5.24705 | − | 9.08816i | 0.409726 | − | 0.709666i | ||||
\(165\) | 16.8915 | − | 20.5292i | 1.31500 | − | 1.59820i | ||||
\(166\) | −6.98012 | + | 4.02998i | −0.541763 | + | 0.312787i | ||||
\(167\) | −5.86087 | + | 10.1513i | −0.453528 | + | 0.785534i | −0.998602 | − | 0.0528541i | \(-0.983168\pi\) |
0.545074 | + | 0.838388i | \(0.316502\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.44304 | − | 4.23147i | −0.187926 | − | 0.325498i | ||||
\(170\) | −2.50079 | − | 1.44383i | −0.191802 | − | 0.110737i | ||||
\(171\) | −1.73391 | + | 5.06568i | −0.132595 | + | 0.387383i | ||||
\(172\) | −0.471521 | − | 0.816699i | −0.0359532 | − | 0.0622727i | ||||
\(173\) | 16.7710 | 1.27507 | 0.637536 | − | 0.770420i | \(-0.279954\pi\) | ||||
0.637536 | + | 0.770420i | \(0.279954\pi\) | |||||||
\(174\) | −0.820992 | + | 4.93374i | −0.0622393 | + | 0.374026i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −3.41614 | − | 1.97231i | −0.257501 | − | 0.148668i | ||||
\(177\) | −0.0282675 | − | 0.0232586i | −0.00212472 | − | 0.00174822i | ||||
\(178\) | −8.02499 | − | 4.63323i | −0.601499 | − | 0.347275i | ||||
\(179\) | −5.00158 | + | 2.88766i | −0.373835 | + | 0.215834i | −0.675133 | − | 0.737696i | \(-0.735914\pi\) |
0.301297 | + | 0.953530i | \(0.402580\pi\) | |||||||
\(180\) | 8.79598 | − | 7.67448i | 0.655614 | − | 0.572022i | ||||
\(181\) | 5.53310i | 0.411272i | 0.978629 | + | 0.205636i | \(0.0659263\pi\) | ||||
−0.978629 | + | 0.205636i | \(0.934074\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.71726 | − | 3.30244i | 0.200865 | − | 0.244123i | ||||
\(184\) | 3.12656 | + | 5.41535i | 0.230493 | + | 0.399225i | ||||
\(185\) | −11.6795 | −0.858692 | ||||||||
\(186\) | −4.69694 | − | 3.86466i | −0.344396 | − | 0.283371i | ||||
\(187\) | 2.92737i | 0.214070i | ||||||||
\(188\) | 2.18525 | 0.159376 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.94462 | 0.503816 | ||||||||
\(191\) | − | 6.21372i | − | 0.449609i | −0.974404 | − | 0.224805i | \(-0.927826\pi\) | ||
0.974404 | − | 0.224805i | \(-0.0721744\pi\) | |||||||
\(192\) | −1.33750 | − | 1.10050i | −0.0965257 | − | 0.0794216i | ||||
\(193\) | −7.80542 | −0.561847 | −0.280923 | − | 0.959730i | \(-0.590641\pi\) | ||||
−0.280923 | + | 0.959730i | \(0.590641\pi\) | |||||||
\(194\) | −9.40980 | − | 16.2983i | −0.675584 | − | 1.17015i | ||||
\(195\) | −12.1977 | + | 14.8246i | −0.873497 | + | 1.06161i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.7737i | 0.910092i | 0.890468 | + | 0.455046i | \(0.150377\pi\) | ||||
−0.890468 | + | 0.455046i | \(0.849623\pi\) | |||||||
\(198\) | −11.1962 | − | 3.83228i | −0.795676 | − | 0.272348i | ||||
\(199\) | 1.56925 | − | 0.906005i | 0.111241 | − | 0.0642250i | −0.443347 | − | 0.896350i | \(-0.646209\pi\) |
0.554588 | + | 0.832125i | \(0.312876\pi\) | |||||||
\(200\) | −8.78217 | − | 5.07039i | −0.620993 | − | 0.358530i | ||||
\(201\) | 17.9884 | + | 14.8009i | 1.26880 | + | 1.04397i | ||||
\(202\) | −7.17206 | − | 4.14079i | −0.504624 | − | 0.291345i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.210992 | + | 1.26795i | −0.0147724 | + | 0.0887742i | ||||
\(205\) | −40.8338 | −2.85195 | ||||||||
\(206\) | −8.52435 | − | 14.7646i | −0.593919 | − | 1.02870i | ||||
\(207\) | 12.3331 | + | 14.1353i | 0.857208 | + | 0.982474i | ||||
\(208\) | 2.46687 | + | 1.42425i | 0.171047 | + | 0.0987537i | ||||
\(209\) | −3.52006 | − | 6.09692i | −0.243487 | − | 0.421732i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.88766 | + | 3.26953i | −0.129952 | + | 0.225083i | −0.923658 | − | 0.383218i | \(-0.874816\pi\) |
0.793706 | + | 0.608302i | \(0.208149\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.13832 | − | 2.59882i | 0.146515 | − | 0.178068i | ||||
\(214\) | −7.16846 | + | 12.4161i | −0.490026 | + | 0.848750i | ||||
\(215\) | −1.83474 | + | 3.17787i | −0.125128 | + | 0.216729i | ||||
\(216\) | −4.57324 | − | 2.46687i | −0.311170 | − | 0.167849i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −9.76874 | + | 5.63998i | −0.661622 | + | 0.381988i | ||||
\(219\) | 8.29481 | + | 1.38029i | 0.560511 | + | 0.0932712i | ||||
\(220\) | 15.3490i | 1.03483i | ||||||||
\(221\) | − | 2.11392i | − | 0.142197i | ||||||
\(222\) | 1.82513 | + | 4.86799i | 0.122495 | + | 0.326718i | ||||
\(223\) | 11.0662 | − | 6.38910i | 0.741051 | − | 0.427846i | −0.0814006 | − | 0.996681i | \(-0.525939\pi\) |
0.822451 | + | 0.568836i | \(0.192606\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −28.7829 | − | 9.85197i | −1.91886 | − | 0.656798i | ||||
\(226\) | −4.91614 | + | 8.51501i | −0.327017 | + | 0.566410i | ||||
\(227\) | −9.99110 | + | 17.3051i | −0.663133 | + | 1.14858i | 0.316655 | + | 0.948541i | \(0.397440\pi\) |
−0.979788 | + | 0.200039i | \(0.935893\pi\) | |||||||
\(228\) | −1.08523 | − | 2.89450i | −0.0718708 | − | 0.191693i | ||||
\(229\) | −8.77402 | + | 5.06568i | −0.579804 | + | 0.334750i | −0.761055 | − | 0.648687i | \(-0.775318\pi\) |
0.181252 | + | 0.983437i | \(0.441985\pi\) | |||||||
\(230\) | 12.1658 | − | 21.0718i | 0.802188 | − | 1.38943i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.44383 | − | 2.50079i | −0.0947921 | − | 0.164185i | ||||
\(233\) | −6.33070 | − | 3.65503i | −0.414738 | − | 0.239449i | 0.278085 | − | 0.960556i | \(-0.410300\pi\) |
−0.692824 | + | 0.721107i | \(0.743634\pi\) | |||||||
\(234\) | 8.08498 | + | 2.76737i | 0.528532 | + | 0.180909i | ||||
\(235\) | −4.25153 | − | 7.36387i | −0.277339 | − | 0.480366i | ||||
\(236\) | 0.0211346 | 0.00137575 | ||||||||
\(237\) | 4.86332 | + | 4.00156i | 0.315906 | + | 0.259929i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 7.28317 | + | 4.20494i | 0.471109 | + | 0.271995i | 0.716704 | − | 0.697378i | \(-0.245650\pi\) |
−0.245595 | + | 0.969373i | \(0.578983\pi\) | |||||||
\(240\) | −1.10628 | + | 6.64819i | −0.0714103 | + | 0.429139i | ||||
\(241\) | 7.75277 | + | 4.47607i | 0.499400 | + | 0.288329i | 0.728466 | − | 0.685082i | \(-0.240234\pi\) |
−0.229066 | + | 0.973411i | \(0.573567\pi\) | |||||||
\(242\) | 3.94910 | − | 2.28001i | 0.253858 | − | 0.146565i | ||||
\(243\) | −14.8882 | − | 4.61960i | −0.955080 | − | 0.296347i | ||||
\(244\) | 2.46911i | 0.158069i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 6.38103 | + | 17.0194i | 0.406840 | + | 1.08512i | ||||
\(247\) | 2.54191 | + | 4.40271i | 0.161738 | + | 0.280138i | ||||
\(248\) | 3.51174 | 0.222995 | ||||||||
\(249\) | 2.29153 | − | 13.7709i | 0.145220 | − | 0.872695i | ||||
\(250\) | 20.0033i | 1.26512i | ||||||||
\(251\) | 12.6432 | 0.798033 | 0.399017 | − | 0.916944i | \(-0.369352\pi\) | ||||
0.399017 | + | 0.916944i | \(0.369352\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.6661 | −1.55075 | ||||||||
\(254\) | − | 2.94462i | − | 0.184762i | ||||||
\(255\) | 4.68324 | − | 1.75587i | 0.293276 | − | 0.109957i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −8.15329 | − | 14.1219i | −0.508588 | − | 0.880900i | −0.999951 | − | 0.00994523i | \(-0.996834\pi\) |
0.491362 | − | 0.870955i | \(-0.336499\pi\) | |||||||
\(258\) | 1.61124 | + | 0.268117i | 0.100312 | + | 0.0166922i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 11.0838i | − | 0.687389i | ||||||
\(261\) | −5.69536 | − | 6.52765i | −0.352534 | − | 0.404051i | ||||
\(262\) | 13.0468 | − | 7.53255i | 0.806032 | − | 0.465363i | ||||
\(263\) | −20.5434 | − | 11.8608i | −1.26676 | − | 0.731366i | −0.292389 | − | 0.956300i | \(-0.594450\pi\) |
−0.974374 | + | 0.224934i | \(0.927783\pi\) | |||||||
\(264\) | 6.39742 | − | 2.39856i | 0.393734 | − | 0.147621i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 15.0284 | − | 5.63455i | 0.919725 | − | 0.344829i | ||||
\(268\) | −13.4493 | −0.821544 | ||||||||
\(269\) | −3.64144 | − | 6.30716i | −0.222022 | − | 0.384554i | 0.733400 | − | 0.679798i | \(-0.237932\pi\) |
−0.955422 | + | 0.295244i | \(0.904599\pi\) | |||||||
\(270\) | 0.584648 | + | 20.2104i | 0.0355805 | + | 1.22996i | ||||
\(271\) | −19.6483 | − | 11.3440i | −1.19355 | − | 0.689097i | −0.234441 | − | 0.972130i | \(-0.575326\pi\) |
−0.959110 | + | 0.283033i | \(0.908659\pi\) | |||||||
\(272\) | −0.371058 | − | 0.642692i | −0.0224987 | − | 0.0389689i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.85997 | − | 13.6139i | 0.474838 | − | 0.822444i | ||||
\(275\) | 34.6423 | − | 20.0007i | 2.08901 | − | 1.20609i | ||||
\(276\) | −10.6838 | − | 1.77782i | −0.643089 | − | 0.107012i | ||||
\(277\) | −12.0838 | + | 20.9298i | −0.726046 | + | 1.25755i | 0.232496 | + | 0.972597i | \(0.425311\pi\) |
−0.958542 | + | 0.284951i | \(0.908023\pi\) | |||||||
\(278\) | 1.65337 | − | 2.86373i | 0.0991628 | − | 0.171755i | ||||
\(279\) | 10.3380 | − | 2.02910i | 0.618917 | − | 0.121479i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.11229 | + | 2.37423i | −0.245319 | + | 0.141635i | −0.617619 | − | 0.786478i | \(-0.711903\pi\) |
0.372300 | + | 0.928112i | \(0.378569\pi\) | |||||||
\(282\) | −2.40487 | + | 2.92277i | −0.143208 | + | 0.174049i | ||||
\(283\) | 29.3853i | 1.74677i | 0.487027 | + | 0.873387i | \(0.338081\pi\) | ||||
−0.487027 | + | 0.873387i | \(0.661919\pi\) | |||||||
\(284\) | 1.94304i | 0.115298i | ||||||||
\(285\) | −7.64254 | + | 9.28842i | −0.452705 | + | 0.550198i | ||||
\(286\) | −9.73085 | + | 5.61811i | −0.575398 | + | 0.332206i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.94383 | − | 0.577806i | 0.173467 | − | 0.0340475i | ||||
\(289\) | 8.22463 | − | 14.2455i | 0.483802 | − | 0.837969i | ||||
\(290\) | −5.61811 | + | 9.73085i | −0.329907 | + | 0.571415i | ||||
\(291\) | 32.1544 | + | 5.35061i | 1.88492 | + | 0.313658i | ||||
\(292\) | −4.20443 | + | 2.42743i | −0.246046 | + | 0.142055i | ||||
\(293\) | 3.31206 | − | 5.73666i | 0.193493 | − | 0.335139i | −0.752913 | − | 0.658121i | \(-0.771352\pi\) |
0.946405 | + | 0.322981i | \(0.104685\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0411186 | − | 0.0712195i | −0.00239402 | − | 0.00414656i | ||||
\(296\) | −2.59944 | − | 1.50079i | −0.151090 | − | 0.0872316i | ||||
\(297\) | 17.4470 | − | 10.7574i | 1.01238 | − | 0.624209i | ||||
\(298\) | 5.50079 | + | 9.52765i | 0.318652 | + | 0.551922i | ||||
\(299\) | 17.8119 | 1.03009 | ||||||||
\(300\) | 16.4464 | − | 6.16618i | 0.949533 | − | 0.356005i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.24706 | − | 0.719988i | −0.0717600 | − | 0.0414307i | ||||
\(303\) | 13.4311 | − | 5.03569i | 0.771599 | − | 0.289293i | ||||
\(304\) | 1.54563 | + | 0.892369i | 0.0886479 | + | 0.0511809i | ||||
\(305\) | 8.32043 | − | 4.80380i | 0.476426 | − | 0.275065i | ||||
\(306\) | −1.46368 | − | 1.67758i | −0.0836733 | − | 0.0959007i | ||||
\(307\) | − | 21.7242i | − | 1.23987i | −0.784655 | − | 0.619933i | \(-0.787160\pi\) | ||
0.784655 | − | 0.619933i | \(-0.212840\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 29.1287 | + | 4.84712i | 1.65707 | + | 0.275743i | ||||
\(310\) | −6.83228 | − | 11.8339i | −0.388048 | − | 0.672118i | ||||
\(311\) | −6.29800 | −0.357127 | −0.178563 | − | 0.983928i | \(-0.557145\pi\) | ||||
−0.178563 | + | 0.983928i | \(0.557145\pi\) | |||||||
\(312\) | −4.61971 | + | 1.73205i | −0.261540 | + | 0.0980581i | ||||
\(313\) | − | 22.2191i | − | 1.25590i | −0.778256 | − | 0.627948i | \(-0.783895\pi\) | ||
0.778256 | − | 0.627948i | \(-0.216105\pi\) | |||||||
\(314\) | −16.6071 | −0.937192 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.63613 | −0.204548 | ||||||||
\(317\) | 15.6614i | 0.879632i | 0.898088 | + | 0.439816i | \(0.144956\pi\) | ||||
−0.898088 | + | 0.439816i | \(0.855044\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.3907 | 0.637758 | ||||||||
\(320\) | −1.94556 | − | 3.36980i | −0.108760 | − | 0.188378i | ||||
\(321\) | −8.71769 | − | 23.2518i | −0.486574 | − | 1.29779i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 1.32448i | − | 0.0736963i | ||||||
\(324\) | 8.33228 | − | 3.40192i | 0.462905 | − | 0.188996i | ||||
\(325\) | −25.0159 | + | 14.4430i | −1.38763 | + | 0.801151i | ||||
\(326\) | −10.7348 | − | 6.19773i | −0.594545 | − | 0.343260i | ||||
\(327\) | 3.20701 | − | 19.2725i | 0.177348 | − | 1.06577i | ||||
\(328\) | −9.08816 | − | 5.24705i | −0.501810 | − | 0.289720i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −20.5292 | − | 16.8915i | −1.13010 | − | 0.929847i | ||||
\(331\) | 1.27226 | 0.0699296 | 0.0349648 | − | 0.999389i | \(-0.488868\pi\) | ||||
0.0349648 | + | 0.999389i | \(0.488868\pi\) | |||||||
\(332\) | 4.02998 | + | 6.98012i | 0.221174 | + | 0.383084i | ||||
\(333\) | −8.51948 | − | 2.91610i | −0.466865 | − | 0.159801i | ||||
\(334\) | 10.1513 | + | 5.86087i | 0.555456 | + | 0.320693i | ||||
\(335\) | 26.1663 | + | 45.3214i | 1.42962 | + | 2.47617i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.78001 | + | 6.54717i | −0.205910 | + | 0.356647i | −0.950422 | − | 0.310962i | \(-0.899349\pi\) |
0.744512 | + | 0.667609i | \(0.232682\pi\) | |||||||
\(338\) | −4.23147 | + | 2.44304i | −0.230162 | + | 0.132884i | ||||
\(339\) | −5.97860 | − | 15.9461i | −0.324713 | − | 0.866072i | ||||
\(340\) | −1.44383 | + | 2.50079i | −0.0783027 | + | 0.135624i | ||||
\(341\) | −6.92623 | + | 11.9966i | −0.375076 | + | 0.649651i | ||||
\(342\) | 5.06568 | + | 1.73391i | 0.273921 | + | 0.0937592i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.816699 | + | 0.471521i | −0.0440334 | + | 0.0254227i | ||||
\(345\) | 14.7950 | + | 39.4612i | 0.796537 | + | 2.12452i | ||||
\(346\) | − | 16.7710i | − | 0.901613i | ||||||
\(347\) | − | 22.1091i | − | 1.18688i | −0.804879 | − | 0.593439i | \(-0.797770\pi\) | ||
0.804879 | − | 0.593439i | \(-0.202230\pi\) | |||||||
\(348\) | 4.93374 | + | 0.820992i | 0.264476 | + | 0.0440098i | ||||
\(349\) | −12.7682 | + | 7.37173i | −0.683467 | + | 0.394600i | −0.801160 | − | 0.598450i | \(-0.795783\pi\) |
0.117693 | + | 0.993050i | \(0.462450\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.5989 | + | 7.76816i | −0.672478 | + | 0.414634i | ||||
\(352\) | −1.97231 | + | 3.41614i | −0.105124 | + | 0.182081i | ||||
\(353\) | 8.63881 | − | 14.9629i | 0.459798 | − | 0.796393i | −0.539152 | − | 0.842208i | \(-0.681255\pi\) |
0.998950 | + | 0.0458154i | \(0.0145886\pi\) | |||||||
\(354\) | −0.0232586 | + | 0.0282675i | −0.00123618 | + | 0.00150240i | ||||
\(355\) | 6.54767 | − | 3.78030i | 0.347514 | − | 0.200638i | ||||
\(356\) | −4.63323 | + | 8.02499i | −0.245561 | + | 0.425324i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.88766 | + | 5.00158i | 0.152618 | + | 0.264342i | ||||
\(359\) | −9.45088 | − | 5.45647i | −0.498799 | − | 0.287982i | 0.229419 | − | 0.973328i | \(-0.426318\pi\) |
−0.728217 | + | 0.685346i | \(0.759651\pi\) | |||||||
\(360\) | −7.67448 | − | 8.79598i | −0.404481 | − | 0.463589i | ||||
\(361\) | −7.90736 | − | 13.6959i | −0.416177 | − | 0.720839i | ||||
\(362\) | 5.53310 | 0.290813 | ||||||||
\(363\) | −1.29646 | + | 7.79106i | −0.0680466 | + | 0.408925i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.3599 | + | 9.44541i | 0.856318 | + | 0.494395i | ||||
\(366\) | −3.30244 | − | 2.71726i | −0.172621 | − | 0.142033i | ||||
\(367\) | −30.9407 | − | 17.8636i | −1.61509 | − | 0.932472i | −0.988166 | − | 0.153391i | \(-0.950981\pi\) |
−0.626923 | − | 0.779081i | \(-0.715686\pi\) | |||||||
\(368\) | 5.41535 | − | 3.12656i | 0.282295 | − | 0.162983i | ||||
\(369\) | −29.7858 | − | 10.1952i | −1.55059 | − | 0.530743i | ||||
\(370\) | 11.6795i | 0.607187i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −3.86466 | + | 4.69694i | −0.200373 | + | 0.243525i | ||||
\(373\) | 16.0300 | + | 27.7648i | 0.830003 | + | 1.43761i | 0.898035 | + | 0.439923i | \(0.144994\pi\) |
−0.0680328 | + | 0.997683i | \(0.521672\pi\) | |||||||
\(374\) | 2.92737 | 0.151371 | ||||||||
\(375\) | −26.7544 | − | 22.0136i | −1.38159 | − | 1.13678i | ||||
\(376\) | − | 2.18525i | − | 0.112696i | ||||||
\(377\) | −8.22549 | −0.423634 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.8891 | 1.79214 | 0.896068 | − | 0.443918i | \(-0.146412\pi\) | ||||
0.896068 | + | 0.443918i | \(0.146412\pi\) | |||||||
\(380\) | − | 6.94462i | − | 0.356251i | ||||||
\(381\) | 3.93842 | + | 3.24055i | 0.201772 | + | 0.166018i | ||||
\(382\) | −6.21372 | −0.317922 | ||||||||
\(383\) | −8.76711 | − | 15.1851i | −0.447978 | − | 0.775921i | 0.550276 | − | 0.834983i | \(-0.314523\pi\) |
−0.998254 | + | 0.0590616i | \(0.981189\pi\) | |||||||
\(384\) | −1.10050 | + | 1.33750i | −0.0561596 | + | 0.0682539i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.80542i | 0.397286i | ||||||||
\(387\) | −2.13178 | + | 1.85997i | −0.108364 | + | 0.0945477i | ||||
\(388\) | −16.2983 | + | 9.40980i | −0.827418 | + | 0.477710i | ||||
\(389\) | 6.60060 | + | 3.81086i | 0.334664 | + | 0.193218i | 0.657910 | − | 0.753097i | \(-0.271441\pi\) |
−0.323246 | + | 0.946315i | \(0.604774\pi\) | |||||||
\(390\) | 14.8246 | + | 12.1977i | 0.750672 | + | 0.617656i | ||||
\(391\) | −4.01882 | − | 2.32027i | −0.203241 | − | 0.117341i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4.28317 | + | 25.7396i | −0.216057 | + | 1.29839i | ||||
\(394\) | 12.7737 | 0.643532 | ||||||||
\(395\) | 7.07430 | + | 12.2530i | 0.355947 | + | 0.616517i | ||||
\(396\) | −3.83228 | + | 11.1962i | −0.192579 | + | 0.562628i | ||||
\(397\) | 32.6032 | + | 18.8234i | 1.63631 | + | 0.944722i | 0.982090 | + | 0.188414i | \(0.0603348\pi\) |
0.654216 | + | 0.756307i | \(0.272999\pi\) | |||||||
\(398\) | −0.906005 | − | 1.56925i | −0.0454139 | − | 0.0786592i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.07039 | + | 8.78217i | −0.253519 | + | 0.439108i | ||||
\(401\) | −18.5689 | + | 10.7207i | −0.927284 | + | 0.535368i | −0.885952 | − | 0.463778i | \(-0.846494\pi\) |
−0.0413326 | + | 0.999145i | \(0.513160\pi\) | |||||||
\(402\) | 14.8009 | − | 17.9884i | 0.738202 | − | 0.897178i | ||||
\(403\) | 5.00158 | − | 8.66299i | 0.249146 | − | 0.431534i | ||||
\(404\) | −4.14079 | + | 7.17206i | −0.206012 | + | 0.356823i | ||||
\(405\) | −27.6747 | − | 21.4595i | −1.37517 | − | 1.06633i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.2538 | − | 5.92004i | 0.508262 | − | 0.293445i | ||||
\(408\) | 1.26795 | + | 0.210992i | 0.0627728 | + | 0.0104456i | ||||
\(409\) | 29.5703i | 1.46216i | 0.682293 | + | 0.731079i | \(0.260983\pi\) | ||||
−0.682293 | + | 0.731079i | \(0.739017\pi\) | |||||||
\(410\) | 40.8338i | 2.01664i | ||||||||
\(411\) | 9.55865 | + | 25.4947i | 0.471493 | + | 1.25756i | ||||
\(412\) | −14.7646 | + | 8.52435i | −0.727400 | + | 0.419964i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 14.1353 | − | 12.3331i | 0.694714 | − | 0.606137i | ||||
\(415\) | 15.6811 | − | 27.1605i | 0.769755 | − | 1.33325i | ||||
\(416\) | 1.42425 | − | 2.46687i | 0.0698294 | − | 0.120948i | ||||
\(417\) | 2.01070 | + | 5.36291i | 0.0984642 | + | 0.262623i | ||||
\(418\) | −6.09692 | + | 3.52006i | −0.298210 | + | 0.172172i | ||||
\(419\) | 3.56481 | − | 6.17443i | 0.174152 | − | 0.301641i | −0.765715 | − | 0.643180i | \(-0.777615\pi\) |
0.939868 | + | 0.341539i | \(0.110948\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.31007 | − | 4.00115i | −0.112586 | − | 0.195004i | 0.804226 | − | 0.594323i | \(-0.202580\pi\) |
−0.916812 | + | 0.399319i | \(0.869247\pi\) | |||||||
\(422\) | 3.26953 | + | 1.88766i | 0.159158 | + | 0.0918899i | ||||
\(423\) | −1.26265 | − | 6.43301i | −0.0613922 | − | 0.312784i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.52564 | 0.365047 | ||||||||
\(426\) | −2.59882 | − | 2.13832i | −0.125913 | − | 0.103602i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.4161 | + | 7.16846i | 0.600157 | + | 0.346501i | ||||
\(429\) | 3.19458 | − | 19.1977i | 0.154236 | − | 0.926875i | ||||
\(430\) | 3.17787 | + | 1.83474i | 0.153250 | + | 0.0884792i | ||||
\(431\) | −3.47078 | + | 2.00385i | −0.167181 | + | 0.0965223i | −0.581256 | − | 0.813721i | \(-0.697439\pi\) |
0.414075 | + | 0.910243i | \(0.364105\pi\) | |||||||
\(432\) | −2.46687 | + | 4.57324i | −0.118687 | + | 0.220030i | ||||
\(433\) | 29.4125i | 1.41348i | 0.707475 | + | 0.706738i | \(0.249834\pi\) | ||||
−0.707475 | + | 0.706738i | \(0.750166\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.83228 | − | 18.2230i | −0.327583 | − | 0.873726i | ||||
\(436\) | 5.63998 | + | 9.76874i | 0.270106 | + | 0.467838i | ||||
\(437\) | 11.1602 | 0.533863 | ||||||||
\(438\) | 1.38029 | − | 8.29481i | 0.0659527 | − | 0.396341i | ||||
\(439\) | 21.3769i | 1.02027i | 0.860096 | + | 0.510133i | \(0.170404\pi\) | ||||
−0.860096 | + | 0.510133i | \(0.829596\pi\) | |||||||
\(440\) | 15.3490 | 0.731733 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.11392 | −0.100549 | ||||||||
\(443\) | 5.83386i | 0.277175i | 0.990350 | + | 0.138587i | \(0.0442562\pi\) | ||||
−0.990350 | + | 0.138587i | \(0.955744\pi\) | |||||||
\(444\) | 4.86799 | − | 1.82513i | 0.231024 | − | 0.0866171i | ||||
\(445\) | 36.0569 | 1.70926 | ||||||||
\(446\) | −6.38910 | − | 11.0662i | −0.302533 | − | 0.524002i | ||||
\(447\) | −18.7968 | − | 3.12786i | −0.889059 | − | 0.147943i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 22.5823i | − | 1.06573i | −0.846202 | − | 0.532863i | \(-0.821116\pi\) | ||
0.846202 | − | 0.532863i | \(-0.178884\pi\) | |||||||
\(450\) | −9.85197 | + | 28.7829i | −0.464427 | + | 1.35684i | ||||
\(451\) | 35.8493 | − | 20.6976i | 1.68808 | − | 0.974613i | ||||
\(452\) | 8.51501 | + | 4.91614i | 0.400512 | + | 0.231236i | ||||
\(453\) | 2.33537 | − | 0.875590i | 0.109725 | − | 0.0411388i | ||||
\(454\) | 17.3051 | + | 9.99110i | 0.812168 | + | 0.468906i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.89450 | + | 1.08523i | −0.135548 | + | 0.0508203i | ||||
\(457\) | 39.8623 | 1.86468 | 0.932340 | − | 0.361584i | \(-0.117764\pi\) | ||||
0.932340 | + | 0.361584i | \(0.117764\pi\) | |||||||
\(458\) | 5.06568 | + | 8.77402i | 0.236704 | + | 0.409983i | ||||
\(459\) | 3.85454 | − | 0.111505i | 0.179915 | − | 0.00520459i | ||||
\(460\) | −21.0718 | − | 12.1658i | −0.982476 | − | 0.567233i | ||||
\(461\) | 3.68254 | + | 6.37834i | 0.171513 | + | 0.297069i | 0.938949 | − | 0.344056i | \(-0.111801\pi\) |
−0.767436 | + | 0.641125i | \(0.778468\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3457 | + | 24.8475i | −0.666702 | + | 1.15476i | 0.312119 | + | 0.950043i | \(0.398961\pi\) |
−0.978821 | + | 0.204718i | \(0.934372\pi\) | |||||||
\(464\) | −2.50079 | + | 1.44383i | −0.116096 | + | 0.0670282i | ||||
\(465\) | 23.3467 | + | 3.88498i | 1.08268 | + | 0.180162i | ||||
\(466\) | −3.65503 | + | 6.33070i | −0.169316 | + | 0.293264i | ||||
\(467\) | −6.83519 | + | 11.8389i | −0.316295 | + | 0.547839i | −0.979712 | − | 0.200411i | \(-0.935772\pi\) |
0.663417 | + | 0.748250i | \(0.269106\pi\) | |||||||
\(468\) | 2.76737 | − | 8.08498i | 0.127922 | − | 0.373728i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.36387 | + | 4.25153i | −0.339670 | + | 0.196109i | ||||
\(471\) | 18.2761 | − | 22.2119i | 0.842117 | − | 1.02347i | ||||
\(472\) | − | 0.0211346i | − | 0.000972799i | ||||||
\(473\) | − | 3.71994i | − | 0.171043i | ||||||
\(474\) | 4.00156 | − | 4.86332i | 0.183798 | − | 0.223380i | ||||
\(475\) | −15.6739 | + | 9.04931i | −0.719166 | + | 0.415211i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.20494 | − | 7.28317i | 0.192329 | − | 0.333124i | ||||
\(479\) | −5.20537 | + | 9.01596i | −0.237839 | + | 0.411950i | −0.960094 | − | 0.279677i | \(-0.909773\pi\) |
0.722255 | + | 0.691627i | \(0.243106\pi\) | |||||||
\(480\) | 6.64819 | + | 1.10628i | 0.303447 | + | 0.0504947i | ||||
\(481\) | −7.40449 | + | 4.27499i | −0.337616 | + | 0.194923i | ||||
\(482\) | 4.47607 | − | 7.75277i | 0.203879 | − | 0.353129i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.28001 | − | 3.94910i | −0.103637 | − | 0.179504i | ||||
\(485\) | 63.4184 | + | 36.6146i | 2.87968 | + | 1.66258i | ||||
\(486\) | −4.61960 | + | 14.8882i | −0.209549 | + | 0.675344i | ||||
\(487\) | −1.16925 | − | 2.02520i | −0.0529838 | − | 0.0917707i | 0.838317 | − | 0.545183i | \(-0.183540\pi\) |
−0.891301 | + | 0.453412i | \(0.850207\pi\) | |||||||
\(488\) | 2.46911 | 0.111772 | ||||||||
\(489\) | 20.1031 | − | 7.53716i | 0.909092 | − | 0.340842i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −29.3448 | − | 16.9422i | −1.32431 | − | 0.764591i | −0.339898 | − | 0.940462i | \(-0.610392\pi\) |
−0.984413 | + | 0.175871i | \(0.943726\pi\) | |||||||
\(492\) | 17.0194 | − | 6.38103i | 0.767295 | − | 0.287679i | ||||
\(493\) | 1.85588 | + | 1.07149i | 0.0835845 | + | 0.0482575i | ||||
\(494\) | 4.40271 | − | 2.54191i | 0.198087 | − | 0.114366i | ||||
\(495\) | 45.1848 | − | 8.86872i | 2.03090 | − | 0.398619i | ||||
\(496\) | − | 3.51174i | − | 0.157682i | ||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −13.7709 | − | 2.29153i | −0.617088 | − | 0.102686i | ||||
\(499\) | 8.30223 | + | 14.3799i | 0.371659 | + | 0.643732i | 0.989821 | − | 0.142319i | \(-0.0454558\pi\) |
−0.618162 | + | 0.786051i | \(0.712123\pi\) | |||||||
\(500\) | 20.0033 | 0.894576 | ||||||||
\(501\) | −19.0104 | + | 7.12751i | −0.849324 | + | 0.318434i | ||||
\(502\) | − | 12.6432i | − | 0.564295i | ||||||
\(503\) | 35.3661 | 1.57690 | 0.788449 | − | 0.615100i | \(-0.210885\pi\) | ||||
0.788449 | + | 0.615100i | \(0.210885\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 32.2246 | 1.43398 | ||||||||
\(506\) | 24.6661i | 1.09654i | ||||||||
\(507\) | 1.38916 | − | 8.34816i | 0.0616950 | − | 0.370755i | ||||
\(508\) | −2.94462 | −0.130646 | ||||||||
\(509\) | 18.5291 | + | 32.0933i | 0.821287 | + | 1.42251i | 0.904724 | + | 0.425998i | \(0.140077\pi\) |
−0.0834371 | + | 0.996513i | \(0.526590\pi\) | |||||||
\(510\) | −1.75587 | − | 4.68324i | −0.0777511 | − | 0.207377i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −7.89388 | + | 4.86718i | −0.348523 | + | 0.214891i | ||||
\(514\) | −14.1219 | + | 8.15329i | −0.622891 | + | 0.359626i | ||||
\(515\) | 57.4507 | + | 33.1692i | 2.53158 | + | 1.46161i | ||||
\(516\) | 0.268117 | − | 1.61124i | 0.0118032 | − | 0.0709310i | ||||
\(517\) | 7.46513 | + | 4.30999i | 0.328316 | + | 0.189553i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 22.4311 | + | 18.4564i | 0.984618 | + | 0.810147i | ||||
\(520\) | −11.0838 | −0.486057 | ||||||||
\(521\) | 0.891547 | + | 1.54420i | 0.0390594 | + | 0.0676528i | 0.884894 | − | 0.465792i | \(-0.154231\pi\) |
−0.845835 | + | 0.533445i | \(0.820897\pi\) | |||||||
\(522\) | −6.52765 | + | 5.69536i | −0.285707 | + | 0.249279i | ||||
\(523\) | −20.8312 | − | 12.0269i | −0.910886 | − | 0.525901i | −0.0301702 | − | 0.999545i | \(-0.509605\pi\) |
−0.880716 | + | 0.473644i | \(0.842938\pi\) | |||||||
\(524\) | −7.53255 | − | 13.0468i | −0.329061 | − | 0.569950i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.8608 | + | 20.5434i | −0.517154 | + | 0.895737i | ||||
\(527\) | −2.25696 | + | 1.30306i | −0.0983149 | + | 0.0567621i | ||||
\(528\) | −2.39856 | − | 6.39742i | −0.104384 | − | 0.278412i | ||||
\(529\) | 8.05069 | − | 13.9442i | 0.350030 | − | 0.606270i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.0122117 | − | 0.0622167i | −0.000529942 | − | 0.00269998i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −25.8876 | + | 14.9462i | −1.12132 | + | 0.647392i | ||||
\(534\) | −5.63455 | − | 15.0284i | −0.243831 | − | 0.650344i | ||||
\(535\) | − | 55.7866i | − | 2.41187i | ||||||
\(536\) | 13.4493i | 0.580920i | ||||||||
\(537\) | −9.86747 | − | 1.64198i | −0.425813 | − | 0.0708569i | ||||
\(538\) | −6.30716 | + | 3.64144i | −0.271921 | + | 0.156994i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 20.2104 | − | 0.584648i | 0.869716 | − | 0.0251592i | ||||
\(541\) | −15.0016 | + | 25.9835i | −0.644968 | + | 1.11712i | 0.339341 | + | 0.940664i | \(0.389796\pi\) |
−0.984309 | + | 0.176454i | \(0.943537\pi\) | |||||||
\(542\) | −11.3440 | + | 19.6483i | −0.487265 | + | 0.843968i | ||||
\(543\) | −6.08917 | + | 7.40051i | −0.261311 | + | 0.317586i | ||||
\(544\) | −0.642692 | + | 0.371058i | −0.0275552 | + | 0.0159090i | ||||
\(545\) | 21.9458 | − | 38.0113i | 0.940056 | − | 1.62822i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.7816 | − | 18.6743i | −0.460987 | − | 0.798454i | 0.538023 | − | 0.842930i | \(-0.319171\pi\) |
−0.999010 | + | 0.0444765i | \(0.985838\pi\) | |||||||
\(548\) | −13.6139 | − | 7.85997i | −0.581556 | − | 0.335761i | ||||
\(549\) | 7.26865 | − | 1.42667i | 0.310219 | − | 0.0608887i | ||||
\(550\) | −20.0007 | − | 34.6423i | −0.852835 | − | 1.47715i | ||||
\(551\) | −5.15372 | −0.219556 | ||||||||
\(552\) | −1.77782 | + | 10.6838i | −0.0756692 | + | 0.454733i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 20.9298 | + | 12.0838i | 0.889221 | + | 0.513392i | ||||
\(555\) | −15.6213 | − | 12.8533i | −0.663087 | − | 0.545590i | ||||
\(556\) | −2.86373 | − | 1.65337i | −0.121449 | − | 0.0701187i | ||||
\(557\) | −31.9976 | + | 18.4738i | −1.35578 | + | 0.782762i | −0.989052 | − | 0.147565i | \(-0.952856\pi\) |
−0.366731 | + | 0.930327i | \(0.619523\pi\) | |||||||
\(558\) | −2.02910 | − | 10.3380i | −0.0858987 | − | 0.437640i | ||||
\(559\) | 2.68625i | 0.113616i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.22157 | + | 3.91535i | −0.136015 | + | 0.165306i | ||||
\(562\) | 2.37423 | + | 4.11229i | 0.100151 | + | 0.173467i | ||||
\(563\) | 15.1684 | 0.639273 | 0.319637 | − | 0.947540i | \(-0.396439\pi\) | ||||
0.319637 | + | 0.947540i | \(0.396439\pi\) | |||||||
\(564\) | 2.92277 | + | 2.40487i | 0.123071 | + | 0.101263i | ||||
\(565\) | − | 38.2585i | − | 1.60955i | ||||||
\(566\) | 29.3853 | 1.23516 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.94304 | 0.0815282 | ||||||||
\(569\) | − | 36.7292i | − | 1.53977i | −0.638183 | − | 0.769885i | \(-0.720314\pi\) | ||
0.638183 | − | 0.769885i | \(-0.279686\pi\) | |||||||
\(570\) | 9.28842 | + | 7.64254i | 0.389049 | + | 0.320111i | ||||
\(571\) | 11.2277 | 0.469866 | 0.234933 | − | 0.972012i | \(-0.424513\pi\) | ||||
0.234933 | + | 0.972012i | \(0.424513\pi\) | |||||||
\(572\) | 5.61811 | + | 9.73085i | 0.234905 | + | 0.406867i | ||||
\(573\) | 6.83819 | − | 8.31085i | 0.285670 | − | 0.347191i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 63.4114i | 2.64444i | ||||||||
\(576\) | −0.577806 | − | 2.94383i | −0.0240752 | − | 0.122660i | ||||
\(577\) | −31.6545 | + | 18.2757i | −1.31780 | + | 0.760829i | −0.983374 | − | 0.181594i | \(-0.941874\pi\) |
−0.334422 | + | 0.942424i | \(0.608541\pi\) | |||||||
\(578\) | −14.2455 | − | 8.22463i | −0.592534 | − | 0.342100i | ||||
\(579\) | −10.4397 | − | 8.58986i | −0.433861 | − | 0.356982i | ||||
\(580\) | 9.73085 | + | 5.61811i | 0.404052 | + | 0.233279i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 5.35061 | − | 32.1544i | 0.221790 | − | 1.33284i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 2.42743 | + | 4.20443i | 0.100448 | + | 0.173981i | ||||
\(585\) | −32.6289 | + | 6.40429i | −1.34904 | + | 0.264785i | ||||
\(586\) | −5.73666 | − | 3.31206i | −0.236979 | − | 0.136820i | ||||
\(587\) | −4.99738 | − | 8.65571i | −0.206264 | − | 0.357259i | 0.744271 | − | 0.667878i | \(-0.232797\pi\) |
−0.950535 | + | 0.310619i | \(0.899464\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.13376 | − | 5.42784i | 0.129124 | − | 0.223650i | ||||
\(590\) | −0.0712195 | + | 0.0411186i | −0.00293206 | + | 0.00169283i | ||||
\(591\) | −14.0575 | + | 17.0849i | −0.578248 | + | 0.702778i | ||||
\(592\) | −1.50079 | + | 2.59944i | −0.0616820 | + | 0.106836i | ||||
\(593\) | 3.89111 | − | 6.73961i | 0.159789 | − | 0.276763i | −0.775004 | − | 0.631957i | \(-0.782252\pi\) |
0.934792 | + | 0.355194i | \(0.115585\pi\) | |||||||
\(594\) | −10.7574 | − | 17.4470i | −0.441382 | − | 0.715860i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.52765 | − | 5.50079i | 0.390268 | − | 0.225321i | ||||
\(597\) | 3.09592 | + | 0.515173i | 0.126708 | + | 0.0210846i | ||||
\(598\) | − | 17.8119i | − | 0.728385i | ||||||
\(599\) | − | 25.0124i | − | 1.02198i | −0.859586 | − | 0.510990i | \(-0.829279\pi\) | ||
0.859586 | − | 0.510990i | \(-0.170721\pi\) | |||||||
\(600\) | −6.16618 | − | 16.4464i | −0.251733 | − | 0.671421i | ||||
\(601\) | −25.9925 | + | 15.0068i | −1.06026 | + | 0.612139i | −0.925503 | − | 0.378740i | \(-0.876357\pi\) |
−0.134753 | + | 0.990879i | \(0.543024\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.77106 | + | 39.5924i | 0.316462 | + | 1.61233i | ||||
\(604\) | −0.719988 | + | 1.24706i | −0.0292959 | + | 0.0507420i | ||||
\(605\) | −8.87179 | + | 15.3664i | −0.360689 | + | 0.624732i | ||||
\(606\) | −5.03569 | − | 13.4311i | −0.204561 | − | 0.545603i | ||||
\(607\) | 3.96882 | − | 2.29140i | 0.161089 | − | 0.0930050i | −0.417288 | − | 0.908774i | \(-0.637019\pi\) |
0.578378 | + | 0.815769i | \(0.303686\pi\) | |||||||
\(608\) | 0.892369 | − | 1.54563i | 0.0361903 | − | 0.0626835i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.80380 | − | 8.32043i | −0.194500 | − | 0.336884i | ||||
\(611\) | −5.39073 | − | 3.11234i | −0.218085 | − | 0.125912i | ||||
\(612\) | −1.67758 | + | 1.46368i | −0.0678120 | + | 0.0591659i | ||||
\(613\) | −15.2761 | − | 26.4590i | −0.616996 | − | 1.06867i | −0.990031 | − | 0.140852i | \(-0.955016\pi\) |
0.373034 | − | 0.927818i | \(-0.378317\pi\) | |||||||
\(614\) | −21.7242 | −0.876717 | ||||||||
\(615\) | −54.6151 | − | 44.9375i | −2.20229 | − | 1.81206i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −28.2484 | − | 16.3092i | −1.13724 | − | 0.656585i | −0.191493 | − | 0.981494i | \(-0.561333\pi\) |
−0.945745 | + | 0.324909i | \(0.894666\pi\) | |||||||
\(618\) | 4.84712 | − | 29.1287i | 0.194980 | − | 1.17173i | ||||
\(619\) | −17.3244 | − | 10.0023i | −0.696327 | − | 0.402024i | 0.109651 | − | 0.993970i | \(-0.465027\pi\) |
−0.805978 | + | 0.591946i | \(0.798360\pi\) | |||||||
\(620\) | −11.8339 | + | 6.83228i | −0.475259 | + | 0.274391i | ||||
\(621\) | 0.939542 | + | 32.4785i | 0.0377025 | + | 1.30332i | ||||
\(622\) | 6.29800i | 0.252527i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.73205 | + | 4.61971i | 0.0693375 | + | 0.184937i | ||||
\(625\) | −13.5657 | − | 23.4965i | −0.542628 | − | 0.939859i | ||||
\(626\) | −22.2191 | −0.888052 | ||||||||
\(627\) | 2.00158 | − | 12.0284i | 0.0799353 | − | 0.480369i | ||||
\(628\) | 16.6071i | 0.662695i | ||||||||
\(629\) | 2.22752 | 0.0888171 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.09634 | 0.242692 | 0.121346 | − | 0.992610i | \(-0.461279\pi\) | ||||
0.121346 | + | 0.992610i | \(0.461279\pi\) | |||||||
\(632\) | 3.63613i | 0.144637i | ||||||||
\(633\) | −6.12285 | + | 2.29562i | −0.243362 | + | 0.0912426i | ||||
\(634\) | 15.6614 | 0.621994 | ||||||||
\(635\) | 5.72893 | + | 9.92279i | 0.227345 | + | 0.393774i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 11.3907i | − | 0.450963i | ||||||
\(639\) | 5.71999 | − | 1.12270i | 0.226279 | − | 0.0444134i | ||||
\(640\) | −3.36980 | + | 1.94556i | −0.133203 | + | 0.0769049i | ||||
\(641\) | −28.9612 | − | 16.7207i | −1.14390 | − | 0.660429i | −0.196504 | − | 0.980503i | \(-0.562959\pi\) |
−0.947393 | + | 0.320074i | \(0.896292\pi\) | |||||||
\(642\) | −23.2518 | + | 8.71769i | −0.917674 | + | 0.344060i | ||||
\(643\) | 16.6022 | + | 9.58527i | 0.654726 | + | 0.378006i | 0.790264 | − | 0.612766i | \(-0.209943\pi\) |
−0.135539 | + | 0.990772i | \(0.543276\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.95121 | + | 2.23126i | −0.234328 | + | 0.0878559i | ||||
\(646\) | −1.32448 | −0.0521111 | ||||||||
\(647\) | 22.3025 | + | 38.6290i | 0.876800 | + | 1.51866i | 0.854832 | + | 0.518904i | \(0.173660\pi\) |
0.0219681 | + | 0.999759i | \(0.493007\pi\) | |||||||
\(648\) | −3.40192 | − | 8.33228i | −0.133640 | − | 0.327323i | ||||
\(649\) | 0.0721988 | + | 0.0416840i | 0.00283405 | + | 0.00163624i | ||||
\(650\) | 14.4430 | + | 25.0159i | 0.566500 | + | 0.981206i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.19773 | + | 10.7348i | −0.242722 | + | 0.420407i | ||||
\(653\) | 0.564755 | − | 0.326061i | 0.0221006 | − | 0.0127598i | −0.488909 | − | 0.872335i | \(-0.662605\pi\) |
0.511010 | + | 0.859575i | \(0.329272\pi\) | |||||||
\(654\) | −19.2725 | − | 3.20701i | −0.753613 | − | 0.125404i | ||||
\(655\) | −29.3100 | + | 50.7664i | −1.14524 | + | 1.98361i | ||||
\(656\) | −5.24705 | + | 9.08816i | −0.204863 | + | 0.354833i | ||||
\(657\) | 9.57529 | + | 10.9746i | 0.373568 | + | 0.428158i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.2738 | − | 15.1692i | 1.02348 | − | 0.590908i | 0.108372 | − | 0.994110i | \(-0.465436\pi\) |
0.915111 | + | 0.403202i | \(0.132103\pi\) | |||||||
\(660\) | −16.8915 | + | 20.5292i | −0.657501 | + | 0.799099i | ||||
\(661\) | 12.8176i | 0.498548i | 0.968433 | + | 0.249274i | \(0.0801919\pi\) | ||||
−0.968433 | + | 0.249274i | \(0.919808\pi\) | |||||||
\(662\) | − | 1.27226i | − | 0.0494477i | ||||||
\(663\) | 2.32636 | − | 2.82736i | 0.0903484 | − | 0.109806i | ||||
\(664\) | 6.98012 | − | 4.02998i | 0.270881 | − | 0.156393i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −2.91610 | + | 8.51948i | −0.112996 | + | 0.330123i | ||||
\(667\) | −9.02843 | + | 15.6377i | −0.349582 | + | 0.605494i | ||||
\(668\) | 5.86087 | − | 10.1513i | 0.226764 | − | 0.392767i | ||||
\(669\) | 21.8323 | + | 3.63297i | 0.844085 | + | 0.140459i | ||||
\(670\) | 45.3214 | − | 26.1663i | 1.75092 | − | 1.01089i | ||||
\(671\) | −4.86986 | + | 8.43484i | −0.187999 | + | 0.325623i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.2246 | + | 19.4416i | 0.432678 | + | 0.749420i | 0.997103 | − | 0.0760644i | \(-0.0242355\pi\) |
−0.564425 | + | 0.825484i | \(0.690902\pi\) | |||||||
\(674\) | 6.54717 | + | 3.78001i | 0.252188 | + | 0.145601i | ||||
\(675\) | −27.6550 | − | 44.8526i | −1.06444 | − | 1.72638i | ||||
\(676\) | 2.44304 | + | 4.23147i | 0.0939632 | + | 0.162749i | ||||
\(677\) | −51.1807 | −1.96703 | −0.983516 | − | 0.180820i | \(-0.942125\pi\) | ||||
−0.983516 | + | 0.180820i | \(0.942125\pi\) | |||||||
\(678\) | −15.9461 | + | 5.97860i | −0.612406 | + | 0.229607i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.50079 | + | 1.44383i | 0.0959009 | + | 0.0553684i | ||||
\(681\) | −32.4073 | + | 12.1503i | −1.24185 | + | 0.465602i | ||||
\(682\) | 11.9966 | + | 6.92623i | 0.459373 | + | 0.265219i | ||||
\(683\) | −12.6107 | + | 7.28080i | −0.482536 | + | 0.278592i | −0.721473 | − | 0.692443i | \(-0.756534\pi\) |
0.238937 | + | 0.971035i | \(0.423201\pi\) | |||||||
\(684\) | 1.73391 | − | 5.06568i | 0.0662977 | − | 0.193691i | ||||
\(685\) | 61.1681i | 2.33711i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −17.3100 | − | 2.88045i | −0.660419 | − | 0.109896i | ||||
\(688\) | 0.471521 | + | 0.816699i | 0.0179766 | + | 0.0311363i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 39.4612 | − | 14.7950i | 1.50226 | − | 0.563237i | ||||
\(691\) | − | 24.4515i | − | 0.930180i | −0.885263 | − | 0.465090i | \(-0.846022\pi\) | ||
0.885263 | − | 0.465090i | \(-0.153978\pi\) | |||||||
\(692\) | −16.7710 | −0.637536 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.1091 | −0.839250 | ||||||||
\(695\) | 12.8669i | 0.488071i | ||||||||
\(696\) | 0.820992 | − | 4.93374i | 0.0311196 | − | 0.187013i | ||||
\(697\) | 7.78785 | 0.294986 | ||||||||
\(698\) | 7.37173 | + | 12.7682i | 0.279024 | + | 0.483284i | ||||
\(699\) | −4.44495 | − | 11.8555i | −0.168123 | − | 0.448417i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 2.21697i | − | 0.0837337i | −0.999123 | − | 0.0418669i | \(-0.986669\pi\) | ||
0.999123 | − | 0.0418669i | \(-0.0133305\pi\) | |||||||
\(702\) | 7.76816 | + | 12.5989i | 0.293190 | + | 0.475514i | ||||
\(703\) | −4.63932 | + | 2.67851i | −0.174975 | + | 0.101022i | ||||
\(704\) | 3.41614 | + | 1.97231i | 0.128751 | + | 0.0743342i | ||||
\(705\) | 2.41751 | − | 14.5280i | 0.0910487 | − | 0.547155i | ||||
\(706\) | −14.9629 | − | 8.63881i | −0.563135 | − | 0.325126i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.0282675 | + | 0.0232586i | 0.00106236 | + | 0.000874112i | ||||
\(709\) | −24.3923 | −0.916072 | −0.458036 | − | 0.888934i | \(-0.651447\pi\) | ||||
−0.458036 | + | 0.888934i | \(0.651447\pi\) | |||||||
\(710\) | −3.78030 | − | 6.54767i | −0.141872 | − | 0.245730i | ||||
\(711\) | 2.10098 | + | 10.7041i | 0.0787927 | + | 0.401437i | ||||
\(712\) | 8.02499 | + | 4.63323i | 0.300749 | + | 0.173638i | ||||
\(713\) | −10.9796 | − | 19.0173i | −0.411190 | − | 0.712203i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.8607 | − | 37.8639i | 0.817544 | − | 1.41603i | ||||
\(716\) | 5.00158 | − | 2.88766i | 0.186918 | − | 0.107917i | ||||
\(717\) | 5.11370 | + | 13.6392i | 0.190975 | + | 0.509366i | ||||
\(718\) | −5.45647 | + | 9.45088i | −0.203634 | + | 0.352704i | ||||
\(719\) | 1.11376 | − | 1.92909i | 0.0415363 | − | 0.0719429i | −0.844510 | − | 0.535540i | \(-0.820108\pi\) |
0.886046 | + | 0.463597i | \(0.153441\pi\) | |||||||
\(720\) | −8.79598 | + | 7.67448i | −0.327807 | + | 0.286011i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −13.6959 | + | 7.90736i | −0.509710 | + | 0.294281i | ||||
\(723\) | 5.44342 | + | 14.5186i | 0.202443 | + | 0.539954i | ||||
\(724\) | − | 5.53310i | − | 0.205636i | ||||||
\(725\) | − | 29.2831i | − | 1.08755i | ||||||
\(726\) | 7.79106 | + | 1.29646i | 0.289153 | + | 0.0481162i | ||||
\(727\) | 10.4880 | − | 6.05523i | 0.388977 | − | 0.224576i | −0.292740 | − | 0.956192i | \(-0.594567\pi\) |
0.681717 | + | 0.731616i | \(0.261234\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.8291 | − | 22.5632i | −0.549227 | − | 0.835673i | ||||
\(730\) | 9.44541 | − | 16.3599i | 0.349590 | − | 0.605508i | ||||
\(731\) | 0.349924 | − | 0.606086i | 0.0129424 | − | 0.0224169i | ||||
\(732\) | −2.71726 | + | 3.30244i | −0.100433 | + | 0.122062i | ||||
\(733\) | −13.5673 | + | 7.83306i | −0.501118 | + | 0.289321i | −0.729175 | − | 0.684327i | \(-0.760096\pi\) |
0.228057 | + | 0.973648i | \(0.426763\pi\) | |||||||
\(734\) | −17.8636 | + | 30.9407i | −0.659357 | + | 1.14204i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.12656 | − | 5.41535i | −0.115246 | − | 0.199613i | ||||
\(737\) | −45.9446 | − | 26.5261i | −1.69239 | − | 0.977102i | ||||
\(738\) | −10.1952 | + | 29.7858i | −0.375292 | + | 1.09643i | ||||
\(739\) | 4.05227 | + | 7.01874i | 0.149065 | + | 0.258188i | 0.930882 | − | 0.365319i | \(-0.119040\pi\) |
−0.781817 | + | 0.623508i | \(0.785707\pi\) | |||||||
\(740\) | 11.6795 | 0.429346 | ||||||||
\(741\) | −1.44538 | + | 8.68599i | −0.0530974 | + | 0.319088i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.5429 | − | 6.08697i | −0.386783 | − | 0.223309i | 0.293982 | − | 0.955811i | \(-0.405019\pi\) |
−0.680765 | + | 0.732502i | \(0.738353\pi\) | |||||||
\(744\) | 4.69694 | + | 3.86466i | 0.172198 | + | 0.141685i | ||||
\(745\) | −37.0732 | − | 21.4042i | −1.35826 | − | 0.784189i | ||||
\(746\) | 27.7648 | − | 16.0300i | 1.01654 | − | 0.586900i | ||||
\(747\) | 18.2198 | − | 15.8967i | 0.666626 | − | 0.581631i | ||||
\(748\) | − | 2.92737i | − | 0.107035i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −22.0136 | + | 26.7544i | −0.803824 | + | 0.976934i | ||||
\(751\) | −17.3062 | − | 29.9752i | −0.631511 | − | 1.09381i | −0.987243 | − | 0.159221i | \(-0.949102\pi\) |
0.355732 | − | 0.934588i | \(-0.384232\pi\) | |||||||
\(752\) | −2.18525 | −0.0796879 | ||||||||
\(753\) | 16.9103 | + | 13.9139i | 0.616246 | + | 0.507049i | ||||
\(754\) | 8.22549i | 0.299555i | ||||||||
\(755\) | 5.60311 | 0.203918 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −39.0553 | −1.41949 | −0.709744 | − | 0.704459i | \(-0.751190\pi\) | ||||
−0.709744 | + | 0.704459i | \(0.751190\pi\) | |||||||
\(758\) | − | 34.8891i | − | 1.26723i | ||||||
\(759\) | −32.9909 | − | 27.1451i | −1.19749 | − | 0.985303i | ||||
\(760\) | −6.94462 | −0.251908 | ||||||||
\(761\) | 5.11262 | + | 8.85532i | 0.185332 | + | 0.321005i | 0.943688 | − | 0.330835i | \(-0.107330\pi\) |
−0.758356 | + | 0.651840i | \(0.773997\pi\) | |||||||
\(762\) | 3.24055 | − | 3.93842i | 0.117393 | − | 0.142674i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 6.21372i | 0.224805i | ||||||||
\(765\) | 8.19615 | + | 2.80542i | 0.296333 | + | 0.101430i | ||||
\(766\) | −15.1851 | + | 8.76711i | −0.548659 | + | 0.316769i | ||||
\(767\) | −0.0521363 | − | 0.0301009i | −0.00188253 | − | 0.00108688i | ||||
\(768\) | 1.33750 | + | 1.10050i | 0.0482628 | + | 0.0397108i | ||||
\(769\) | −26.6746 | − | 15.4006i | −0.961910 | − | 0.555359i | −0.0651494 | − | 0.997876i | \(-0.520752\pi\) |
−0.896760 | + | 0.442517i | \(0.854086\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.63613 | − | 27.8607i | 0.166966 | − | 1.00338i | ||||
\(772\) | 7.80542 | 0.280923 | ||||||||
\(773\) | 17.8916 | + | 30.9892i | 0.643518 | + | 1.11461i | 0.984642 | + | 0.174587i | \(0.0558590\pi\) |
−0.341124 | + | 0.940018i | \(0.610808\pi\) | |||||||
\(774\) | 1.85997 | + | 2.13178i | 0.0668553 | + | 0.0766251i | ||||
\(775\) | 30.8406 | + | 17.8059i | 1.10783 | + | 0.639605i | ||||
\(776\) | 9.40980 | + | 16.2983i | 0.337792 | + | 0.585073i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.81086 | − | 6.60060i | 0.136626 | − | 0.236643i | ||||
\(779\) | −16.2200 | + | 9.36461i | −0.581141 | + | 0.335522i | ||||
\(780\) | 12.1977 | − | 14.8246i | 0.436749 | − | 0.530805i | ||||
\(781\) | −3.83228 | + | 6.63771i | −0.137130 | + | 0.237516i | ||||
\(782\) | −2.32027 | + | 4.01882i | −0.0829727 | + | 0.143713i | ||||
\(783\) | −0.433877 | − | 14.9985i | −0.0155055 | − | 0.536001i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 55.9626 | − | 32.3100i | 1.99739 | − | 1.15319i | ||||
\(786\) | 25.7396 | + | 4.28317i | 0.918101 | + | 0.152775i | ||||
\(787\) | − | 15.3413i | − | 0.546857i | −0.961892 | − | 0.273429i | \(-0.911842\pi\) | ||
0.961892 | − | 0.273429i | \(-0.0881578\pi\) | |||||||
\(788\) | − | 12.7737i | − | 0.455046i | ||||||
\(789\) | −14.4241 | − | 38.4718i | −0.513511 | − | 1.36963i | ||||
\(790\) | 12.2530 | − | 7.07430i | 0.435944 | − | 0.251692i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 11.1962 | + | 3.83228i | 0.397838 | + | 0.136174i | ||||
\(793\) | 3.51663 | − | 6.09098i | 0.124879 | − | 0.216297i | ||||
\(794\) | 18.8234 | − | 32.6032i | 0.668019 | − | 1.15704i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.56925 | + | 0.906005i | −0.0556205 | + | 0.0321125i | ||||
\(797\) | −17.5200 | + | 30.3455i | −0.620590 | + | 1.07489i | 0.368786 | + | 0.929514i | \(0.379774\pi\) |
−0.989376 | + | 0.145379i | \(0.953560\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.810856 | + | 1.40444i | 0.0286860 | + | 0.0496857i | ||||
\(800\) | 8.78217 | + | 5.07039i | 0.310496 | + | 0.179265i | ||||
\(801\) | 26.3013 | + | 9.00256i | 0.929312 | + | 0.318090i | ||||
\(802\) | 10.7207 | + | 18.5689i | 0.378562 | + | 0.655689i | ||||
\(803\) | −19.1506 | −0.675809 | ||||||||
\(804\) | −17.9884 | − | 14.8009i | −0.634401 | − | 0.521987i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.66299 | − | 5.00158i | −0.305141 | − | 0.176173i | ||||
\(807\) | 2.07060 | − | 12.4432i | 0.0728885 | − | 0.438022i | ||||
\(808\) | 7.17206 | + | 4.14079i | 0.252312 | + | 0.145673i | ||||
\(809\) | 23.6360 | − | 13.6462i | 0.830997 | − | 0.479777i | −0.0231967 | − | 0.999731i | \(-0.507384\pi\) |
0.854194 | + | 0.519954i | \(0.174051\pi\) | |||||||
\(810\) | −21.4595 | + | 27.6747i | −0.754011 | + | 0.972391i | ||||
\(811\) | − | 27.7628i | − | 0.974883i | −0.873156 | − | 0.487442i | \(-0.837930\pi\) | ||
0.873156 | − | 0.487442i | \(-0.162070\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −13.7956 | − | 36.7955i | −0.483833 | − | 1.29047i | ||||
\(814\) | −5.92004 | − | 10.2538i | −0.207497 | − | 0.359396i | ||||
\(815\) | 48.2322 | 1.68950 | ||||||||
\(816\) | 0.210992 | − | 1.26795i | 0.00738618 | − | 0.0443871i | ||||
\(817\) | 1.68308i | 0.0588836i | ||||||||
\(818\) | 29.5703 | 1.03390 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 40.8338 | 1.42598 | ||||||||
\(821\) | − | 44.4523i | − | 1.55140i | −0.631104 | − | 0.775698i | \(-0.717398\pi\) | ||
0.631104 | − | 0.775698i | \(-0.282602\pi\) | |||||||
\(822\) | 25.4947 | − | 9.55865i | 0.889231 | − | 0.333396i | ||||
\(823\) | −51.1153 | −1.78177 | −0.890884 | − | 0.454231i | \(-0.849914\pi\) | ||||
−0.890884 | + | 0.454231i | \(0.849914\pi\) | |||||||
\(824\) | 8.52435 | + | 14.7646i | 0.296960 | + | 0.514349i | ||||
\(825\) | 68.3448 | + | 11.3728i | 2.37946 | + | 0.395951i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 14.5414i | − | 0.505653i | −0.967512 | − | 0.252826i | \(-0.918640\pi\) | ||
0.967512 | − | 0.252826i | \(-0.0813601\pi\) | |||||||
\(828\) | −12.3331 | − | 14.1353i | −0.428604 | − | 0.491237i | ||||
\(829\) | 24.2211 | − | 13.9841i | 0.841234 | − | 0.485686i | −0.0164497 | − | 0.999865i | \(-0.505236\pi\) |
0.857683 | + | 0.514178i | \(0.171903\pi\) | |||||||
\(830\) | −27.1605 | − | 15.6811i | −0.942754 | − | 0.544299i | ||||
\(831\) | −39.1953 | + | 14.6953i | −1.35967 | + | 0.509775i | ||||
\(832\) | −2.46687 | − | 1.42425i | −0.0855233 | − | 0.0493769i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 5.36291 | − | 2.01070i | 0.185703 | − | 0.0696247i | ||||
\(835\) | −45.6107 | −1.57842 | ||||||||
\(836\) | 3.52006 | + | 6.09692i | 0.121744 | + | 0.210866i | ||||
\(837\) | 16.0600 | + | 8.66299i | 0.555116 | + | 0.299437i | ||||
\(838\) | −6.17443 | − | 3.56481i | −0.213292 | − | 0.123144i | ||||
\(839\) | −0.499354 | − | 0.864906i | −0.0172396 | − | 0.0298599i | 0.857277 | − | 0.514856i | \(-0.172154\pi\) |
−0.874517 | + | 0.484996i | \(0.838821\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3307 | + | 17.8933i | −0.356231 | + | 0.617011i | ||||
\(842\) | −4.00115 | + | 2.31007i | −0.137889 | + | 0.0796102i | ||||
\(843\) | −8.11303 | − | 1.35004i | −0.279428 | − | 0.0464978i | ||||
\(844\) | 1.88766 | − | 3.26953i | 0.0649760 | − | 0.112542i | ||||
\(845\) | 9.50616 | − | 16.4651i | 0.327022 | − | 0.566418i | ||||
\(846\) | −6.43301 | + | 1.26265i | −0.221172 | + | 0.0434108i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −32.3385 | + | 39.3028i | −1.10985 | + | 1.34887i | ||||
\(850\) | − | 7.52564i | − | 0.258127i | ||||||
\(851\) | 18.7692i | 0.643400i | ||||||||
\(852\) | −2.13832 | + | 2.59882i | −0.0732575 | + | 0.0890340i | ||||
\(853\) | 8.48739 | − | 4.90020i | 0.290603 | − | 0.167780i | −0.347611 | − | 0.937639i | \(-0.613007\pi\) |
0.638214 | + | 0.769859i | \(0.279674\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −20.4438 | + | 4.01264i | −0.699163 | + | 0.137229i | ||||
\(856\) | 7.16846 | − | 12.4161i | 0.245013 | − | 0.424375i | ||||
\(857\) | 3.85002 | − | 6.66842i | 0.131514 | − | 0.227789i | −0.792746 | − | 0.609552i | \(-0.791349\pi\) |
0.924260 | + | 0.381763i | \(0.124683\pi\) | |||||||
\(858\) | −19.1977 | − | 3.19458i | −0.655400 | − | 0.109061i | ||||
\(859\) | 16.4022 | − | 9.46979i | 0.559634 | − | 0.323105i | −0.193364 | − | 0.981127i | \(-0.561940\pi\) |
0.752999 | + | 0.658022i | \(0.228607\pi\) | |||||||
\(860\) | 1.83474 | − | 3.17787i | 0.0625642 | − | 0.108364i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.00385 | + | 3.47078i | 0.0682515 | + | 0.118215i | ||||
\(863\) | −15.1156 | − | 8.72700i | −0.514541 | − | 0.297070i | 0.220157 | − | 0.975464i | \(-0.429343\pi\) |
−0.734698 | + | 0.678394i | \(0.762676\pi\) | |||||||
\(864\) | 4.57324 | + | 2.46687i | 0.155585 | + | 0.0839245i | ||||
\(865\) | 32.6289 | + | 56.5149i | 1.10942 | + | 1.92156i | ||||
\(866\) | 29.4125 | 0.999479 | ||||||||
\(867\) | 26.6776 | − | 10.0021i | 0.906018 | − | 0.339690i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −12.4215 | − | 7.17157i | −0.421371 | − | 0.243279i | ||||
\(870\) | −18.2230 | + | 6.83228i | −0.617818 | + | 0.231636i | ||||
\(871\) | 33.1776 | + | 19.1551i | 1.12418 | + | 0.649045i | ||||
\(872\) | 9.76874 | − | 5.63998i | 0.330811 | − | 0.190994i | ||||
\(873\) | 37.1181 | + | 42.5423i | 1.25626 | + | 1.43984i | ||||
\(874\) | − | 11.1602i | − | 0.377498i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.29481 | − | 1.38029i | −0.280256 | − | 0.0466356i | ||||
\(877\) | −0.196152 | − | 0.339746i | −0.00662360 | − | 0.0114724i | 0.862695 | − | 0.505725i | \(-0.168775\pi\) |
−0.869318 | + | 0.494253i | \(0.835442\pi\) | |||||||
\(878\) | 21.3769 | 0.721436 | ||||||||
\(879\) | 10.7431 | − | 4.02786i | 0.362355 | − | 0.135856i | ||||
\(880\) | − | 15.3490i | − | 0.517414i | ||||||
\(881\) | 37.0259 | 1.24744 | 0.623718 | − | 0.781650i | \(-0.285622\pi\) | ||||
0.623718 | + | 0.781650i | \(0.285622\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.9586 | −1.00819 | −0.504094 | − | 0.863649i | \(-0.668174\pi\) | ||||
−0.504094 | + | 0.863649i | \(0.668174\pi\) | |||||||
\(884\) | 2.11392i | 0.0710987i | ||||||||
\(885\) | 0.0233809 | − | 0.140507i | 0.000785940 | − | 0.00472309i | ||||
\(886\) | 5.83386 | 0.195992 | ||||||||
\(887\) | −14.4930 | − | 25.1026i | −0.486626 | − | 0.842861i | 0.513256 | − | 0.858236i | \(-0.328439\pi\) |
−0.999882 | + | 0.0153745i | \(0.995106\pi\) | |||||||
\(888\) | −1.82513 | − | 4.86799i | −0.0612475 | − | 0.163359i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 36.0569i | − | 1.20863i | ||||||
\(891\) | 35.1739 | + | 4.81239i | 1.17837 | + | 0.161221i | ||||
\(892\) | −11.0662 | + | 6.38910i | −0.370525 | + | 0.213923i | ||||
\(893\) | −3.37759 | − | 1.95005i | −0.113027 | − | 0.0652560i | ||||
\(894\) | −3.12786 | + | 18.7968i | −0.104611 | + | 0.628660i | ||||
\(895\) | −19.4617 | − | 11.2362i | −0.650533 | − | 0.375586i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 23.8235 | + | 19.6020i | 0.795442 | + | 0.654492i | ||||
\(898\) | −22.5823 | −0.753582 | ||||||||
\(899\) | 5.07035 | + | 8.78211i | 0.169106 | + | 0.292900i | ||||
\(900\) | 28.7829 | + | 9.85197i | 0.959430 | + | 0.328399i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −20.6976 | − | 35.8493i | −0.689156 | − | 1.19365i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.91614 | − | 8.51501i | 0.163508 | − | 0.283205i | ||||
\(905\) | −18.6455 | + | 10.7650i | −0.619796 | + | 0.357839i | ||||
\(906\) | −0.875590 | − | 2.33537i | −0.0290895 | − | 0.0775874i | ||||
\(907\) | 1.94773 | − | 3.37357i | 0.0646733 | − | 0.112017i | −0.831876 | − | 0.554962i | \(-0.812733\pi\) |
0.896549 | + | 0.442945i | \(0.146066\pi\) | |||||||
\(908\) | 9.99110 | − | 17.3051i | 0.331566 | − | 0.574290i | ||||
\(909\) | 23.5059 | + | 8.04573i | 0.779642 | + | 0.266860i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.32768 | − | 0.766538i | 0.0439881 | − | 0.0253966i | −0.477845 | − | 0.878444i | \(-0.658582\pi\) |
0.521833 | + | 0.853048i | \(0.325248\pi\) | |||||||
\(912\) | 1.08523 | + | 2.89450i | 0.0359354 | + | 0.0958466i | ||||
\(913\) | 31.7935i | 1.05221i | ||||||||
\(914\) | − | 39.8623i | − | 1.31853i | ||||||
\(915\) | 16.4151 | + | 2.73154i | 0.542668 | + | 0.0903020i | ||||
\(916\) | 8.77402 | − | 5.06568i | 0.289902 | − | 0.167375i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −0.111505 | − | 3.85454i | −0.00368020 | − | 0.127219i | ||||
\(919\) | −14.1266 | + | 24.4679i | −0.465992 | + | 0.807122i | −0.999246 | − | 0.0388335i | \(-0.987636\pi\) |
0.533254 | + | 0.845955i | \(0.320969\pi\) | |||||||
\(920\) | −12.1658 | + | 21.0718i | −0.401094 | + | 0.694715i | ||||
\(921\) | 23.9074 | − | 29.0561i | 0.787777 | − | 0.957430i | ||||
\(922\) | 6.37834 | − | 3.68254i | 0.210059 | − | 0.121278i | ||||
\(923\) | 2.76737 | − | 4.79323i | 0.0910892 | − | 0.157771i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.2192 | − | 26.3603i | −0.500403 | − | 0.866723i | ||||
\(926\) | 24.8475 | + | 14.3457i | 0.816539 | + | 0.471429i | ||||
\(927\) | 33.6253 | + | 38.5391i | 1.10440 | + | 1.26579i | ||||
\(928\) | 1.44383 | + | 2.50079i | 0.0473961 | + | 0.0820924i | ||||
\(929\) | −3.28726 | −0.107851 | −0.0539257 | − | 0.998545i | \(-0.517173\pi\) | ||||
−0.0539257 | + | 0.998545i | \(0.517173\pi\) | |||||||
\(930\) | 3.88498 | − | 23.3467i | 0.127393 | − | 0.765568i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 6.33070 | + | 3.65503i | 0.207369 | + | 0.119725i | ||||
\(933\) | −8.42356 | − | 6.93093i | −0.275775 | − | 0.226909i | ||||
\(934\) | 11.8389 | + | 6.83519i | 0.387380 | + | 0.223654i | ||||
\(935\) | −9.86466 | + | 5.69536i | −0.322609 | + | 0.186258i | ||||
\(936\) | −8.08498 | − | 2.76737i | −0.264266 | − | 0.0904544i | ||||
\(937\) | 35.5084i | 1.16001i | 0.814613 | + | 0.580005i | \(0.196949\pi\) | ||||
−0.814613 | + | 0.580005i | \(0.803051\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 24.4520 | − | 29.7180i | 0.797962 | − | 0.969809i | ||||
\(940\) | 4.25153 | + | 7.36387i | 0.138670 | + | 0.240183i | ||||
\(941\) | −12.4988 | −0.407450 | −0.203725 | − | 0.979028i | \(-0.565305\pi\) | ||||
−0.203725 | + | 0.979028i | \(0.565305\pi\) | |||||||
\(942\) | −22.2119 | − | 18.2761i | −0.723704 | − | 0.595466i | ||||
\(943\) | 65.6208i | 2.13691i | ||||||||
\(944\) | −0.0211346 | −0.000687873 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.71994 | −0.120946 | ||||||||
\(947\) | 36.1154i | 1.17359i | 0.809734 | + | 0.586796i | \(0.199611\pi\) | ||||
−0.809734 | + | 0.586796i | \(0.800389\pi\) | |||||||
\(948\) | −4.86332 | − | 4.00156i | −0.157953 | − | 0.129964i | ||||
\(949\) | 13.8290 | 0.448910 | ||||||||
\(950\) | 9.04931 | + | 15.6739i | 0.293598 | + | 0.508527i | ||||
\(951\) | −17.2354 | + | 20.9471i | −0.558895 | + | 0.679257i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 45.2925i | 1.46717i | 0.679599 | + | 0.733584i | \(0.262154\pi\) | ||||
−0.679599 | + | 0.733584i | \(0.737846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 20.9390 | − | 12.0892i | 0.677571 | − | 0.391196i | ||||
\(956\) | −7.28317 | − | 4.20494i | −0.235554 | − | 0.135997i | ||||
\(957\) | 15.2351 | + | 12.5355i | 0.492480 | + | 0.405215i | ||||
\(958\) | 9.01596 | + | 5.20537i | 0.291293 | + | 0.168178i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 1.10628 | − | 6.64819i | 0.0357052 | − | 0.214569i | ||||
\(961\) | 18.6677 | 0.602184 | ||||||||
\(962\) | 4.27499 | + | 7.40449i | 0.137831 | + | 0.238730i | ||||
\(963\) | 13.9286 | − | 40.6930i | 0.448844 | − | 1.31131i | ||||
\(964\) | −7.75277 | − | 4.47607i | −0.249700 | − | 0.144164i | ||||
\(965\) | −15.1859 | − | 26.3028i | −0.488851 | − | 0.846716i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.0000 | − | 20.7845i | 0.385893 | − | 0.668385i | −0.606000 | − | 0.795465i | \(-0.707227\pi\) |
0.991893 | + | 0.127079i | \(0.0405602\pi\) | |||||||
\(968\) | −3.94910 | + | 2.28001i | −0.126929 | + | 0.0732824i | ||||
\(969\) | 1.45759 | − | 1.77150i | 0.0468246 | − | 0.0569086i | ||||
\(970\) | 36.6146 | − | 63.4184i | 1.17562 | − | 2.03624i | ||||
\(971\) | 16.6813 | − | 28.8928i | 0.535328 | − | 0.927215i | −0.463819 | − | 0.885930i | \(-0.653521\pi\) |
0.999147 | − | 0.0412855i | \(-0.0131453\pi\) | |||||||
\(972\) | 14.8882 | + | 4.61960i | 0.477540 | + | 0.148174i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −2.02520 | + | 1.16925i | −0.0648917 | + | 0.0374652i | ||||
\(975\) | −49.3533 | − | 8.21257i | −1.58057 | − | 0.263013i | ||||
\(976\) | − | 2.46911i | − | 0.0790344i | ||||||
\(977\) | 34.5077i | 1.10400i | 0.833844 | + | 0.552000i | \(0.186135\pi\) | ||||
−0.833844 | + | 0.552000i | \(0.813865\pi\) | |||||||
\(978\) | −7.53716 | − | 20.1031i | −0.241012 | − | 0.642825i | ||||
\(979\) | −31.6555 | + | 18.2763i | −1.01172 | + | 0.584114i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 25.4987 | − | 22.2476i | 0.814111 | − | 0.710311i | ||||
\(982\) | −16.9422 | + | 29.3448i | −0.540648 | + | 0.936429i | ||||
\(983\) | −1.20651 | + | 2.08973i | −0.0384817 | + | 0.0666522i | −0.884625 | − | 0.466304i | \(-0.845585\pi\) |
0.846143 | + | 0.532956i | \(0.178919\pi\) | |||||||
\(984\) | −6.38103 | − | 17.0194i | −0.203420 | − | 0.542560i | ||||
\(985\) | −43.0450 | + | 24.8521i | −1.37153 | + | 0.791852i | ||||
\(986\) | 1.07149 | − | 1.85588i | 0.0341232 | − | 0.0591032i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.54191 | − | 4.40271i | −0.0808688 | − | 0.140069i | ||||
\(989\) | 5.10691 | + | 2.94847i | 0.162390 | + | 0.0937560i | ||||
\(990\) | −8.86872 | − | 45.1848i | −0.281866 | − | 1.43607i | ||||
\(991\) | −24.2991 | − | 42.0873i | −0.771887 | − | 1.33695i | −0.936528 | − | 0.350594i | \(-0.885980\pi\) |
0.164641 | − | 0.986354i | \(-0.447353\pi\) | |||||||
\(992\) | −3.51174 | −0.111498 | ||||||||
\(993\) | 1.70164 | + | 1.40012i | 0.0540000 | + | 0.0444314i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 6.10612 | + | 3.52537i | 0.193577 | + | 0.111762i | ||||
\(996\) | −2.29153 | + | 13.7709i | −0.0726099 | + | 0.436347i | ||||
\(997\) | −38.8449 | − | 22.4271i | −1.23023 | − | 0.710274i | −0.263152 | − | 0.964754i | \(-0.584762\pi\) |
−0.967078 | + | 0.254481i | \(0.918095\pi\) | |||||||
\(998\) | 14.3799 | − | 8.30223i | 0.455187 | − | 0.262802i | ||||
\(999\) | −8.18564 | − | 13.2760i | −0.258982 | − | 0.420033i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))