Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,2,Mod(43,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 200 = 2^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 200.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.59700804043\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 40) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.3 | ||
Root | \(-0.587785 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 200.43 |
Dual form | 200.2.k.h.107.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/200\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(177\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642040 | + | 1.26007i | 0.453990 | + | 0.891007i | ||||
\(3\) | 1.61803 | + | 1.61803i | 0.934172 | + | 0.934172i | 0.997963 | − | 0.0637909i | \(-0.0203191\pi\) |
−0.0637909 | + | 0.997963i | \(0.520319\pi\) | |||||||
\(4\) | −1.17557 | + | 1.61803i | −0.587785 | + | 0.809017i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.00000 | + | 3.07768i | −0.408248 | + | 1.25646i | ||||
\(7\) | −1.17557 | − | 1.17557i | −0.444324 | − | 0.444324i | 0.449138 | − | 0.893462i | \(-0.351731\pi\) |
−0.893462 | + | 0.449138i | \(0.851731\pi\) | |||||||
\(8\) | −2.79360 | − | 0.442463i | −0.987688 | − | 0.156434i | ||||
\(9\) | 2.23607i | 0.745356i | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.23607 | 0.372689 | 0.186344 | − | 0.982485i | \(-0.440336\pi\) | ||||
0.186344 | + | 0.982485i | \(0.440336\pi\) | |||||||
\(12\) | −4.52015 | + | 0.715921i | −1.30485 | + | 0.206669i | ||||
\(13\) | 3.07768 | − | 3.07768i | 0.853596 | − | 0.853596i | −0.136978 | − | 0.990574i | \(-0.543739\pi\) |
0.990574 | + | 0.136978i | \(0.0437390\pi\) | |||||||
\(14\) | 0.726543 | − | 2.23607i | 0.194177 | − | 0.597614i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.23607 | − | 3.80423i | −0.309017 | − | 0.951057i | ||||
\(17\) | 1.00000 | − | 1.00000i | 0.242536 | − | 0.242536i | −0.575363 | − | 0.817898i | \(-0.695139\pi\) |
0.817898 | + | 0.575363i | \(0.195139\pi\) | |||||||
\(18\) | −2.81761 | + | 1.43564i | −0.664117 | + | 0.338385i | ||||
\(19\) | 2.00000i | 0.458831i | 0.973329 | + | 0.229416i | \(0.0736815\pi\) | ||||
−0.973329 | + | 0.229416i | \(0.926318\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 3.80423i | − | 0.830150i | ||||||
\(22\) | 0.793604 | + | 1.55754i | 0.169197 | + | 0.332068i | ||||
\(23\) | −2.62866 | + | 2.62866i | −0.548113 | + | 0.548113i | −0.925895 | − | 0.377782i | \(-0.876687\pi\) |
0.377782 | + | 0.925895i | \(0.376687\pi\) | |||||||
\(24\) | −3.80423 | − | 5.23607i | −0.776534 | − | 1.06881i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 5.85410 | + | 1.90211i | 1.14808 | + | 0.373035i | ||||
\(27\) | 1.23607 | − | 1.23607i | 0.237881 | − | 0.237881i | ||||
\(28\) | 3.28408 | − | 0.520147i | 0.620633 | − | 0.0982985i | ||||
\(29\) | −1.45309 | −0.269831 | −0.134916 | − | 0.990857i | \(-0.543076\pi\) | ||||
−0.134916 | + | 0.990857i | \(0.543076\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.25731i | 0.944241i | 0.881534 | + | 0.472120i | \(0.156511\pi\) | ||||
−0.881534 | + | 0.472120i | \(0.843489\pi\) | |||||||
\(32\) | 4.00000 | − | 4.00000i | 0.707107 | − | 0.707107i | ||||
\(33\) | 2.00000 | + | 2.00000i | 0.348155 | + | 0.348155i | ||||
\(34\) | 1.90211 | + | 0.618034i | 0.326210 | + | 0.105992i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.61803 | − | 2.62866i | −0.603006 | − | 0.438109i | ||||
\(37\) | −3.07768 | − | 3.07768i | −0.505968 | − | 0.505968i | 0.407318 | − | 0.913286i | \(-0.366464\pi\) |
−0.913286 | + | 0.407318i | \(0.866464\pi\) | |||||||
\(38\) | −2.52015 | + | 1.28408i | −0.408822 | + | 0.208305i | ||||
\(39\) | 9.95959 | 1.59481 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.70820 | −1.20382 | −0.601910 | − | 0.798564i | \(-0.705593\pi\) | ||||
−0.601910 | + | 0.798564i | \(0.705593\pi\) | |||||||
\(42\) | 4.79360 | − | 2.44246i | 0.739669 | − | 0.376880i | ||||
\(43\) | −2.38197 | − | 2.38197i | −0.363246 | − | 0.363246i | 0.501760 | − | 0.865007i | \(-0.332686\pi\) |
−0.865007 | + | 0.501760i | \(0.832686\pi\) | |||||||
\(44\) | −1.45309 | + | 2.00000i | −0.219061 | + | 0.301511i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.00000 | − | 1.62460i | −0.737210 | − | 0.239534i | ||||
\(47\) | 7.33094 | + | 7.33094i | 1.06933 | + | 1.06933i | 0.997411 | + | 0.0719165i | \(0.0229115\pi\) |
0.0719165 | + | 0.997411i | \(0.477088\pi\) | |||||||
\(48\) | 4.15537 | − | 8.15537i | 0.599776 | − | 1.17713i | ||||
\(49\) | − | 4.23607i | − | 0.605153i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.23607 | 0.453140 | ||||||||
\(52\) | 1.36176 | + | 8.59783i | 0.188842 | + | 1.19230i | ||||
\(53\) | 0.726543 | − | 0.726543i | 0.0997983 | − | 0.0997983i | −0.655445 | − | 0.755243i | \(-0.727519\pi\) |
0.755243 | + | 0.655445i | \(0.227519\pi\) | |||||||
\(54\) | 2.35114 | + | 0.763932i | 0.319950 | + | 0.103958i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.76393 | + | 3.80423i | 0.369346 | + | 0.508361i | ||||
\(57\) | −3.23607 | + | 3.23607i | −0.428628 | + | 0.428628i | ||||
\(58\) | −0.932938 | − | 1.83099i | −0.122501 | − | 0.240421i | ||||
\(59\) | − | 8.47214i | − | 1.10298i | −0.834182 | − | 0.551489i | \(-0.814060\pi\) | ||
0.834182 | − | 0.551489i | \(-0.185940\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 9.95959i | − | 1.27520i | −0.770370 | − | 0.637598i | \(-0.779928\pi\) | ||
0.770370 | − | 0.637598i | \(-0.220072\pi\) | |||||||
\(62\) | −6.62460 | + | 3.37540i | −0.841325 | + | 0.428676i | ||||
\(63\) | 2.62866 | − | 2.62866i | 0.331179 | − | 0.331179i | ||||
\(64\) | 7.60845 | + | 2.47214i | 0.951057 | + | 0.309017i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −1.23607 | + | 3.80423i | −0.152149 | + | 0.468268i | ||||
\(67\) | 2.38197 | − | 2.38197i | 0.291003 | − | 0.291003i | −0.546473 | − | 0.837477i | \(-0.684030\pi\) |
0.837477 | + | 0.546473i | \(0.184030\pi\) | |||||||
\(68\) | 0.442463 | + | 2.79360i | 0.0536566 | + | 0.338774i | ||||
\(69\) | −8.50651 | −1.02406 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.05342i | 0.837087i | 0.908197 | + | 0.418544i | \(0.137459\pi\) | ||||
−0.908197 | + | 0.418544i | \(0.862541\pi\) | |||||||
\(72\) | 0.989378 | − | 6.24669i | 0.116599 | − | 0.736179i | ||||
\(73\) | −8.70820 | − | 8.70820i | −1.01922 | − | 1.01922i | −0.999812 | − | 0.0194065i | \(-0.993822\pi\) |
−0.0194065 | − | 0.999812i | \(-0.506178\pi\) | |||||||
\(74\) | 1.90211 | − | 5.85410i | 0.221116 | − | 0.680526i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.23607 | − | 2.35114i | −0.371202 | − | 0.269694i | ||||
\(77\) | −1.45309 | − | 1.45309i | −0.165594 | − | 0.165594i | ||||
\(78\) | 6.39445 | + | 12.5498i | 0.724029 | + | 1.42099i | ||||
\(79\) | −12.3107 | −1.38507 | −0.692533 | − | 0.721386i | \(-0.743505\pi\) | ||||
−0.692533 | + | 0.721386i | \(0.743505\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 10.7082 | 1.18980 | ||||||||
\(82\) | −4.94897 | − | 9.71290i | −0.546522 | − | 1.07261i | ||||
\(83\) | 4.38197 | + | 4.38197i | 0.480983 | + | 0.480983i | 0.905446 | − | 0.424462i | \(-0.139537\pi\) |
−0.424462 | + | 0.905446i | \(0.639537\pi\) | |||||||
\(84\) | 6.15537 | + | 4.47214i | 0.671606 | + | 0.487950i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.47214 | − | 4.53077i | 0.158745 | − | 0.488565i | ||||
\(87\) | −2.35114 | − | 2.35114i | −0.252069 | − | 0.252069i | ||||
\(88\) | −3.45309 | − | 0.546915i | −0.368100 | − | 0.0583013i | ||||
\(89\) | 6.47214i | 0.686045i | 0.939327 | + | 0.343023i | \(0.111451\pi\) | ||||
−0.939327 | + | 0.343023i | \(0.888549\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.23607 | −0.758546 | ||||||||
\(92\) | −1.16308 | − | 7.34342i | −0.121260 | − | 0.765605i | ||||
\(93\) | −8.50651 | + | 8.50651i | −0.882084 | + | 0.882084i | ||||
\(94\) | −4.53077 | + | 13.9443i | −0.467313 | + | 1.43824i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 12.9443 | 1.32112 | ||||||||
\(97\) | 0.236068 | − | 0.236068i | 0.0239691 | − | 0.0239691i | −0.695021 | − | 0.718990i | \(-0.744605\pi\) |
0.718990 | + | 0.695021i | \(0.244605\pi\) | |||||||
\(98\) | 5.33776 | − | 2.71972i | 0.539195 | − | 0.274734i | ||||
\(99\) | 2.76393i | 0.277786i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 12.3107i | 1.22496i | 0.790485 | + | 0.612482i | \(0.209829\pi\) | ||||
−0.790485 | + | 0.612482i | \(0.790171\pi\) | |||||||
\(102\) | 2.07768 | + | 4.07768i | 0.205721 | + | 0.403751i | ||||
\(103\) | −7.33094 | + | 7.33094i | −0.722339 | + | 0.722339i | −0.969081 | − | 0.246742i | \(-0.920640\pi\) |
0.246742 | + | 0.969081i | \(0.420640\pi\) | |||||||
\(104\) | −9.95959 | + | 7.23607i | −0.976618 | + | 0.709555i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.38197 | + | 0.449028i | 0.134228 | + | 0.0436135i | ||||
\(107\) | −12.0902 | + | 12.0902i | −1.16880 | + | 1.16880i | −0.186310 | + | 0.982491i | \(0.559653\pi\) |
−0.982491 | + | 0.186310i | \(0.940347\pi\) | |||||||
\(108\) | 0.546915 | + | 3.45309i | 0.0526269 | + | 0.332273i | ||||
\(109\) | 6.71040 | 0.642739 | 0.321370 | − | 0.946954i | \(-0.395857\pi\) | ||||
0.321370 | + | 0.946954i | \(0.395857\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 9.95959i | − | 0.945323i | ||||||
\(112\) | −3.01905 | + | 5.92522i | −0.285273 | + | 0.559881i | ||||
\(113\) | 4.70820 | + | 4.70820i | 0.442911 | + | 0.442911i | 0.892989 | − | 0.450078i | \(-0.148604\pi\) |
−0.450078 | + | 0.892989i | \(0.648604\pi\) | |||||||
\(114\) | −6.15537 | − | 2.00000i | −0.576503 | − | 0.187317i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.70820 | − | 2.35114i | 0.158603 | − | 0.218298i | ||||
\(117\) | 6.88191 | + | 6.88191i | 0.636233 | + | 0.636233i | ||||
\(118\) | 10.6755 | − | 5.43945i | 0.982761 | − | 0.500742i | ||||
\(119\) | −2.35114 | −0.215529 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.47214 | −0.861103 | ||||||||
\(122\) | 12.5498 | − | 6.39445i | 1.13621 | − | 0.578927i | ||||
\(123\) | −12.4721 | − | 12.4721i | −1.12457 | − | 1.12457i | ||||
\(124\) | −8.50651 | − | 6.18034i | −0.763907 | − | 0.555011i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 5.00000 | + | 1.62460i | 0.445435 | + | 0.144731i | ||||
\(127\) | −8.78402 | − | 8.78402i | −0.779456 | − | 0.779456i | 0.200282 | − | 0.979738i | \(-0.435814\pi\) |
−0.979738 | + | 0.200282i | \(0.935814\pi\) | |||||||
\(128\) | 1.76985 | + | 11.1744i | 0.156434 | + | 0.987688i | ||||
\(129\) | − | 7.70820i | − | 0.678670i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.291796 | 0.0254943 | 0.0127472 | − | 0.999919i | \(-0.495942\pi\) | ||||
0.0127472 | + | 0.999919i | \(0.495942\pi\) | |||||||
\(132\) | −5.58721 | + | 0.884927i | −0.486304 | + | 0.0770230i | ||||
\(133\) | 2.35114 | − | 2.35114i | 0.203870 | − | 0.203870i | ||||
\(134\) | 4.53077 | + | 1.47214i | 0.391399 | + | 0.127173i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.23607 | + | 2.35114i | −0.277491 | + | 0.201609i | ||||
\(137\) | −3.47214 | + | 3.47214i | −0.296645 | + | 0.296645i | −0.839698 | − | 0.543054i | \(-0.817268\pi\) |
0.543054 | + | 0.839698i | \(0.317268\pi\) | |||||||
\(138\) | −5.46151 | − | 10.7188i | −0.464915 | − | 0.912447i | ||||
\(139\) | 5.41641i | 0.459414i | 0.973260 | + | 0.229707i | \(0.0737767\pi\) | ||||
−0.973260 | + | 0.229707i | \(0.926223\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 23.7234i | 1.99787i | ||||||||
\(142\) | −8.88783 | + | 4.52858i | −0.745850 | + | 0.380030i | ||||
\(143\) | 3.80423 | − | 3.80423i | 0.318125 | − | 0.318125i | ||||
\(144\) | 8.50651 | − | 2.76393i | 0.708876 | − | 0.230328i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 5.38197 | − | 16.5640i | 0.445415 | − | 1.37085i | ||||
\(147\) | 6.85410 | − | 6.85410i | 0.565317 | − | 0.565317i | ||||
\(148\) | 8.59783 | − | 1.36176i | 0.706737 | − | 0.111936i | ||||
\(149\) | 13.2088 | 1.08211 | 0.541053 | − | 0.840988i | \(-0.318026\pi\) | ||||
0.541053 | + | 0.840988i | \(0.318026\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 14.6619i | − | 1.19317i | −0.802551 | − | 0.596583i | \(-0.796525\pi\) | ||
0.802551 | − | 0.596583i | \(-0.203475\pi\) | |||||||
\(152\) | 0.884927 | − | 5.58721i | 0.0717771 | − | 0.453182i | ||||
\(153\) | 2.23607 | + | 2.23607i | 0.180775 | + | 0.180775i | ||||
\(154\) | 0.898056 | − | 2.76393i | 0.0723674 | − | 0.222724i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −11.7082 | + | 16.1150i | −0.937407 | + | 1.29023i | ||||
\(157\) | 9.78808 | + | 9.78808i | 0.781174 | + | 0.781174i | 0.980029 | − | 0.198855i | \(-0.0637223\pi\) |
−0.198855 | + | 0.980029i | \(0.563722\pi\) | |||||||
\(158\) | −7.90398 | − | 15.5124i | −0.628807 | − | 1.23410i | ||||
\(159\) | 2.35114 | 0.186458 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.18034 | 0.487079 | ||||||||
\(162\) | 6.87509 | + | 13.4931i | 0.540158 | + | 1.06012i | ||||
\(163\) | 7.14590 | + | 7.14590i | 0.559710 | + | 0.559710i | 0.929225 | − | 0.369515i | \(-0.120476\pi\) |
−0.369515 | + | 0.929225i | \(0.620476\pi\) | |||||||
\(164\) | 9.06154 | − | 12.4721i | 0.707587 | − | 0.973910i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.70820 | + | 8.33499i | −0.210197 | + | 0.646921i | ||||
\(167\) | −0.277515 | − | 0.277515i | −0.0214747 | − | 0.0214747i | 0.696288 | − | 0.717763i | \(-0.254834\pi\) |
−0.717763 | + | 0.696288i | \(0.754834\pi\) | |||||||
\(168\) | −1.68323 | + | 10.6275i | −0.129864 | + | 0.819930i | ||||
\(169\) | − | 5.94427i | − | 0.457252i | ||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.47214 | −0.341993 | ||||||||
\(172\) | 6.65427 | − | 1.05393i | 0.507383 | − | 0.0803616i | ||||
\(173\) | 6.32688 | − | 6.32688i | 0.481024 | − | 0.481024i | −0.424435 | − | 0.905459i | \(-0.639527\pi\) |
0.905459 | + | 0.424435i | \(0.139527\pi\) | |||||||
\(174\) | 1.45309 | − | 4.47214i | 0.110158 | − | 0.339032i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.52786 | − | 4.70228i | −0.115167 | − | 0.354448i | ||||
\(177\) | 13.7082 | − | 13.7082i | 1.03037 | − | 1.03037i | ||||
\(178\) | −8.15537 | + | 4.15537i | −0.611271 | + | 0.311458i | ||||
\(179\) | 16.4721i | 1.23119i | 0.788065 | + | 0.615593i | \(0.211083\pi\) | ||||
−0.788065 | + | 0.615593i | \(0.788917\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 9.40456i | − | 0.699036i | −0.936930 | − | 0.349518i | \(-0.886345\pi\) | ||
0.936930 | − | 0.349518i | \(-0.113655\pi\) | |||||||
\(182\) | −4.64584 | − | 9.11798i | −0.344373 | − | 0.675869i | ||||
\(183\) | 16.1150 | − | 16.1150i | 1.19125 | − | 1.19125i | ||||
\(184\) | 8.50651 | − | 6.18034i | 0.627108 | − | 0.455621i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −16.1803 | − | 5.25731i | −1.18640 | − | 0.385485i | ||||
\(187\) | 1.23607 | − | 1.23607i | 0.0903902 | − | 0.0903902i | ||||
\(188\) | −20.4797 | + | 3.24367i | −1.49364 | + | 0.236569i | ||||
\(189\) | −2.90617 | −0.211393 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 12.8658i | − | 0.930934i | −0.885065 | − | 0.465467i | \(-0.845886\pi\) | ||
0.885065 | − | 0.465467i | \(-0.154114\pi\) | |||||||
\(192\) | 8.31073 | + | 16.3107i | 0.599776 | + | 1.17713i | ||||
\(193\) | 7.47214 | + | 7.47214i | 0.537856 | + | 0.537856i | 0.922899 | − | 0.385043i | \(-0.125813\pi\) |
−0.385043 | + | 0.922899i | \(0.625813\pi\) | |||||||
\(194\) | 0.449028 | + | 0.145898i | 0.0322383 | + | 0.0104749i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.85410 | + | 4.97980i | 0.489579 | + | 0.355700i | ||||
\(197\) | −2.17963 | − | 2.17963i | −0.155292 | − | 0.155292i | 0.625185 | − | 0.780477i | \(-0.285024\pi\) |
−0.780477 | + | 0.625185i | \(0.785024\pi\) | |||||||
\(198\) | −3.48276 | + | 1.77455i | −0.247509 | + | 0.126112i | ||||
\(199\) | −18.1231 | −1.28471 | −0.642355 | − | 0.766407i | \(-0.722043\pi\) | ||||
−0.642355 | + | 0.766407i | \(0.722043\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.70820 | 0.543695 | ||||||||
\(202\) | −15.5124 | + | 7.90398i | −1.09145 | + | 0.556122i | ||||
\(203\) | 1.70820 | + | 1.70820i | 0.119892 | + | 0.119892i | ||||
\(204\) | −3.80423 | + | 5.23607i | −0.266349 | + | 0.366598i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.9443 | − | 4.53077i | −0.971543 | − | 0.315674i | ||||
\(207\) | −5.87785 | − | 5.87785i | −0.408539 | − | 0.408539i | ||||
\(208\) | −15.5124 | − | 7.90398i | −1.07559 | − | 0.548042i | ||||
\(209\) | 2.47214i | 0.171001i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.7082 | 1.08140 | 0.540699 | − | 0.841216i | \(-0.318160\pi\) | ||||
0.540699 | + | 0.841216i | \(0.318160\pi\) | |||||||
\(212\) | 0.321469 | + | 2.02967i | 0.0220785 | + | 0.139398i | ||||
\(213\) | −11.4127 | + | 11.4127i | −0.781984 | + | 0.781984i | ||||
\(214\) | −22.9969 | − | 7.47214i | −1.57203 | − | 0.510785i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −4.00000 | + | 2.90617i | −0.272166 | + | 0.197740i | ||||
\(217\) | 6.18034 | − | 6.18034i | 0.419549 | − | 0.419549i | ||||
\(218\) | 4.30834 | + | 8.45559i | 0.291798 | + | 0.572685i | ||||
\(219\) | − | 28.1803i | − | 1.90425i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 6.15537i | − | 0.414055i | ||||||
\(222\) | 12.5498 | − | 6.39445i | 0.842289 | − | 0.429168i | ||||
\(223\) | −1.73060 | + | 1.73060i | −0.115890 | + | 0.115890i | −0.762673 | − | 0.646784i | \(-0.776114\pi\) |
0.646784 | + | 0.762673i | \(0.276114\pi\) | |||||||
\(224\) | −9.40456 | −0.628369 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.90983 | + | 8.95554i | −0.193559 | + | 0.595713i | ||||
\(227\) | 11.6180 | − | 11.6180i | 0.771116 | − | 0.771116i | −0.207186 | − | 0.978302i | \(-0.566430\pi\) |
0.978302 | + | 0.207186i | \(0.0664304\pi\) | |||||||
\(228\) | −1.43184 | − | 9.04029i | −0.0948260 | − | 0.598708i | ||||
\(229\) | 21.3723 | 1.41232 | 0.706160 | − | 0.708053i | \(-0.250426\pi\) | ||||
0.706160 | + | 0.708053i | \(0.250426\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | − | 4.70228i | − | 0.309387i | ||||||
\(232\) | 4.05934 | + | 0.642937i | 0.266509 | + | 0.0422109i | ||||
\(233\) | 3.47214 | + | 3.47214i | 0.227467 | + | 0.227467i | 0.811634 | − | 0.584167i | \(-0.198579\pi\) |
−0.584167 | + | 0.811634i | \(0.698579\pi\) | |||||||
\(234\) | −4.25325 | + | 13.0902i | −0.278044 | + | 0.855731i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 13.7082 | + | 9.95959i | 0.892328 | + | 0.648314i | ||||
\(237\) | −19.9192 | − | 19.9192i | −1.29389 | − | 1.29389i | ||||
\(238\) | −1.50953 | − | 2.96261i | −0.0978480 | − | 0.192038i | ||||
\(239\) | 29.3238 | 1.89680 | 0.948398 | − | 0.317083i | \(-0.102703\pi\) | ||||
0.948398 | + | 0.317083i | \(0.102703\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.76393 | 0.435703 | 0.217852 | − | 0.975982i | \(-0.430095\pi\) | ||||
0.217852 | + | 0.975982i | \(0.430095\pi\) | |||||||
\(242\) | −6.08149 | − | 11.9356i | −0.390933 | − | 0.767249i | ||||
\(243\) | 13.6180 | + | 13.6180i | 0.873597 | + | 0.873597i | ||||
\(244\) | 16.1150 | + | 11.7082i | 1.03165 | + | 0.749541i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7.70820 | − | 23.7234i | 0.491457 | − | 1.51255i | ||||
\(247\) | 6.15537 | + | 6.15537i | 0.391657 | + | 0.391657i | ||||
\(248\) | 2.32617 | − | 14.6868i | 0.147712 | − | 0.932616i | ||||
\(249\) | 14.1803i | 0.898643i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −22.1803 | −1.40001 | −0.700005 | − | 0.714138i | \(-0.746819\pi\) | ||||
−0.700005 | + | 0.714138i | \(0.746819\pi\) | |||||||
\(252\) | 1.16308 | + | 7.34342i | 0.0732674 | + | 0.462592i | ||||
\(253\) | −3.24920 | + | 3.24920i | −0.204275 | + | 0.204275i | ||||
\(254\) | 5.42882 | − | 16.7082i | 0.340635 | − | 1.04837i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.9443 | + | 9.40456i | −0.809017 | + | 0.587785i | ||||
\(257\) | −18.7082 | + | 18.7082i | −1.16699 | + | 1.16699i | −0.184073 | + | 0.982913i | \(0.558928\pi\) |
−0.982913 | + | 0.184073i | \(0.941072\pi\) | |||||||
\(258\) | 9.71290 | − | 4.94897i | 0.604699 | − | 0.308110i | ||||
\(259\) | 7.23607i | 0.449627i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | − | 3.24920i | − | 0.201120i | ||||||
\(262\) | 0.187345 | + | 0.367684i | 0.0115742 | + | 0.0227156i | ||||
\(263\) | 16.3925 | − | 16.3925i | 1.01080 | − | 1.01080i | 0.0108623 | − | 0.999941i | \(-0.496542\pi\) |
0.999941 | − | 0.0108623i | \(-0.00345764\pi\) | |||||||
\(264\) | −4.70228 | − | 6.47214i | −0.289405 | − | 0.398332i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 4.47214 | + | 1.45309i | 0.274204 | + | 0.0890944i | ||||
\(267\) | −10.4721 | + | 10.4721i | −0.640884 | + | 0.640884i | ||||
\(268\) | 1.05393 | + | 6.65427i | 0.0643792 | + | 0.406474i | ||||
\(269\) | −17.9111 | −1.09206 | −0.546029 | − | 0.837766i | \(-0.683861\pi\) | ||||
−0.546029 | + | 0.837766i | \(0.683861\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 31.6749i | 1.92411i | 0.272851 | + | 0.962056i | \(0.412033\pi\) | ||||
−0.272851 | + | 0.962056i | \(0.587967\pi\) | |||||||
\(272\) | −5.04029 | − | 2.56816i | −0.305613 | − | 0.155717i | ||||
\(273\) | −11.7082 | − | 11.7082i | −0.708613 | − | 0.708613i | ||||
\(274\) | −6.60440 | − | 2.14590i | −0.398986 | − | 0.129638i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 10.0000 | − | 13.7638i | 0.601929 | − | 0.828485i | ||||
\(277\) | 2.17963 | + | 2.17963i | 0.130961 | + | 0.130961i | 0.769549 | − | 0.638588i | \(-0.220481\pi\) |
−0.638588 | + | 0.769549i | \(0.720481\pi\) | |||||||
\(278\) | −6.82507 | + | 3.47755i | −0.409341 | + | 0.208569i | ||||
\(279\) | −11.7557 | −0.703796 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.70820 | 0.221213 | 0.110606 | − | 0.993864i | \(-0.464721\pi\) | ||||
0.110606 | + | 0.993864i | \(0.464721\pi\) | |||||||
\(282\) | −29.8932 | + | 15.2314i | −1.78012 | + | 0.907015i | ||||
\(283\) | −15.6180 | − | 15.6180i | −0.928396 | − | 0.928396i | 0.0692066 | − | 0.997602i | \(-0.477953\pi\) |
−0.997602 | + | 0.0692066i | \(0.977953\pi\) | |||||||
\(284\) | −11.4127 | − | 8.29180i | −0.677218 | − | 0.492028i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.23607 | + | 2.35114i | 0.427878 | + | 0.139026i | ||||
\(287\) | 9.06154 | + | 9.06154i | 0.534886 | + | 0.534886i | ||||
\(288\) | 8.94427 | + | 8.94427i | 0.527046 | + | 0.527046i | ||||
\(289\) | 15.0000i | 0.882353i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.763932 | 0.0447825 | ||||||||
\(292\) | 24.3273 | − | 3.85306i | 1.42365 | − | 0.225483i | ||||
\(293\) | −0.726543 | + | 0.726543i | −0.0424451 | + | 0.0424451i | −0.728011 | − | 0.685566i | \(-0.759555\pi\) |
0.685566 | + | 0.728011i | \(0.259555\pi\) | |||||||
\(294\) | 13.0373 | + | 4.23607i | 0.760349 | + | 0.247053i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.23607 | + | 9.95959i | 0.420588 | + | 0.578890i | ||||
\(297\) | 1.52786 | − | 1.52786i | 0.0886557 | − | 0.0886557i | ||||
\(298\) | 8.48057 | + | 16.6440i | 0.491266 | + | 0.964164i | ||||
\(299\) | 16.1803i | 0.935733i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.60034i | 0.322798i | ||||||||
\(302\) | 18.4750 | − | 9.41350i | 1.06312 | − | 0.541686i | ||||
\(303\) | −19.9192 | + | 19.9192i | −1.14433 | + | 1.14433i | ||||
\(304\) | 7.60845 | − | 2.47214i | 0.436375 | − | 0.141787i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.38197 | + | 4.25325i | −0.0790017 | + | 0.243142i | ||||
\(307\) | −6.56231 | + | 6.56231i | −0.374531 | + | 0.374531i | −0.869124 | − | 0.494594i | \(-0.835317\pi\) |
0.494594 | + | 0.869124i | \(0.335317\pi\) | |||||||
\(308\) | 4.05934 | − | 0.642937i | 0.231303 | − | 0.0366347i | ||||
\(309\) | −23.7234 | −1.34958 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.16348i | 0.462909i | 0.972846 | + | 0.231454i | \(0.0743484\pi\) | ||||
−0.972846 | + | 0.231454i | \(0.925652\pi\) | |||||||
\(312\) | −27.8232 | − | 4.40676i | −1.57518 | − | 0.249483i | ||||
\(313\) | 6.23607 | + | 6.23607i | 0.352483 | + | 0.352483i | 0.861033 | − | 0.508549i | \(-0.169818\pi\) |
−0.508549 | + | 0.861033i | \(0.669818\pi\) | |||||||
\(314\) | −6.04937 | + | 18.6180i | −0.341385 | + | 1.05068i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 14.4721 | − | 19.9192i | 0.814121 | − | 1.12054i | ||||
\(317\) | 10.6861 | + | 10.6861i | 0.600193 | + | 0.600193i | 0.940364 | − | 0.340171i | \(-0.110485\pi\) |
−0.340171 | + | 0.940364i | \(0.610485\pi\) | |||||||
\(318\) | 1.50953 | + | 2.96261i | 0.0846500 | + | 0.166135i | ||||
\(319\) | −1.79611 | −0.100563 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −39.1246 | −2.18372 | ||||||||
\(322\) | 3.96802 | + | 7.78768i | 0.221129 | + | 0.433991i | ||||
\(323\) | 2.00000 | + | 2.00000i | 0.111283 | + | 0.111283i | ||||
\(324\) | −12.5882 | + | 17.3262i | −0.699347 | + | 0.962569i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.41641 | + | 13.5923i | −0.244602 | + | 0.752808i | ||||
\(327\) | 10.8576 | + | 10.8576i | 0.600429 | + | 0.600429i | ||||
\(328\) | 21.5337 | + | 3.41060i | 1.18900 | + | 0.188319i | ||||
\(329\) | − | 17.2361i | − | 0.950255i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 28.0689 | 1.54281 | 0.771403 | − | 0.636347i | \(-0.219555\pi\) | ||||
0.771403 | + | 0.636347i | \(0.219555\pi\) | |||||||
\(332\) | −12.2415 | + | 1.93886i | −0.671838 | + | 0.106409i | ||||
\(333\) | 6.88191 | − | 6.88191i | 0.377126 | − | 0.377126i | ||||
\(334\) | 0.171513 | − | 0.527864i | 0.00938480 | − | 0.0288834i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −14.4721 | + | 4.70228i | −0.789520 | + | 0.256531i | ||||
\(337\) | 2.05573 | − | 2.05573i | 0.111983 | − | 0.111983i | −0.648895 | − | 0.760878i | \(-0.724769\pi\) |
0.760878 | + | 0.648895i | \(0.224769\pi\) | |||||||
\(338\) | 7.49022 | − | 3.81646i | 0.407414 | − | 0.207588i | ||||
\(339\) | 15.2361i | 0.827510i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.49839i | 0.351908i | ||||||||
\(342\) | −2.87129 | − | 5.63522i | −0.155261 | − | 0.304718i | ||||
\(343\) | −13.2088 | + | 13.2088i | −0.713208 | + | 0.713208i | ||||
\(344\) | 5.60034 | + | 7.70820i | 0.301950 | + | 0.415599i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.0344 | + | 3.91023i | 0.646976 | + | 0.210215i | ||||
\(347\) | 3.03444 | − | 3.03444i | 0.162897 | − | 0.162897i | −0.620952 | − | 0.783849i | \(-0.713254\pi\) |
0.783849 | + | 0.620952i | \(0.213254\pi\) | |||||||
\(348\) | 6.56816 | − | 1.04029i | 0.352090 | − | 0.0557656i | ||||
\(349\) | 15.5599 | 0.832904 | 0.416452 | − | 0.909158i | \(-0.363273\pi\) | ||||
0.416452 | + | 0.909158i | \(0.363273\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 7.60845i | − | 0.406109i | ||||||
\(352\) | 4.94427 | − | 4.94427i | 0.263531 | − | 0.263531i | ||||
\(353\) | −4.41641 | − | 4.41641i | −0.235062 | − | 0.235062i | 0.579740 | − | 0.814802i | \(-0.303154\pi\) |
−0.814802 | + | 0.579740i | \(0.803154\pi\) | |||||||
\(354\) | 26.0746 | + | 8.47214i | 1.38585 | + | 0.450289i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −10.4721 | − | 7.60845i | −0.555022 | − | 0.403247i | ||||
\(357\) | −3.80423 | − | 3.80423i | −0.201341 | − | 0.201341i | ||||
\(358\) | −20.7561 | + | 10.5758i | −1.09699 | + | 0.558946i | ||||
\(359\) | −1.79611 | −0.0947952 | −0.0473976 | − | 0.998876i | \(-0.515093\pi\) | ||||
−0.0473976 | + | 0.998876i | \(0.515093\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.0000 | 0.789474 | ||||||||
\(362\) | 11.8504 | − | 6.03810i | 0.622845 | − | 0.317356i | ||||
\(363\) | −15.3262 | − | 15.3262i | −0.804419 | − | 0.804419i | ||||
\(364\) | 8.50651 | − | 11.7082i | 0.445862 | − | 0.613677i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 30.6525 | + | 9.95959i | 1.60223 | + | 0.520596i | ||||
\(367\) | −24.0009 | − | 24.0009i | −1.25284 | − | 1.25284i | −0.954442 | − | 0.298396i | \(-0.903548\pi\) |
−0.298396 | − | 0.954442i | \(-0.596452\pi\) | |||||||
\(368\) | 13.2492 | + | 6.75080i | 0.690662 | + | 0.351910i | ||||
\(369\) | − | 17.2361i | − | 0.897274i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.70820 | −0.0886855 | ||||||||
\(372\) | −3.76382 | − | 23.7638i | −0.195145 | − | 1.23210i | ||||
\(373\) | 15.0454 | − | 15.0454i | 0.779021 | − | 0.779021i | −0.200644 | − | 0.979664i | \(-0.564303\pi\) |
0.979664 | + | 0.200644i | \(0.0643033\pi\) | |||||||
\(374\) | 2.35114 | + | 0.763932i | 0.121575 | + | 0.0395020i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.2361 | − | 23.7234i | −0.888882 | − | 1.22344i | ||||
\(377\) | −4.47214 | + | 4.47214i | −0.230327 | + | 0.230327i | ||||
\(378\) | −1.86588 | − | 3.66199i | −0.0959703 | − | 0.188352i | ||||
\(379\) | − | 35.8885i | − | 1.84347i | −0.387820 | − | 0.921735i | \(-0.626772\pi\) | ||
0.387820 | − | 0.921735i | \(-0.373228\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 28.4257i | − | 1.45629i | ||||||
\(382\) | 16.2118 | − | 8.26033i | 0.829468 | − | 0.422635i | ||||
\(383\) | −11.1352 | + | 11.1352i | −0.568980 | + | 0.568980i | −0.931843 | − | 0.362862i | \(-0.881799\pi\) |
0.362862 | + | 0.931843i | \(0.381799\pi\) | |||||||
\(384\) | −15.2169 | + | 20.9443i | −0.776534 | + | 1.06881i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4.61803 | + | 14.2128i | −0.235052 | + | 0.723415i | ||||
\(387\) | 5.32624 | − | 5.32624i | 0.270748 | − | 0.270748i | ||||
\(388\) | 0.104451 | + | 0.659481i | 0.00530272 | + | 0.0334801i | ||||
\(389\) | −23.7234 | −1.20282 | −0.601412 | − | 0.798939i | \(-0.705395\pi\) | ||||
−0.601412 | + | 0.798939i | \(0.705395\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.25731i | 0.265874i | ||||||||
\(392\) | −1.87431 | + | 11.8339i | −0.0946667 | + | 0.597702i | ||||
\(393\) | 0.472136 | + | 0.472136i | 0.0238161 | + | 0.0238161i | ||||
\(394\) | 1.34708 | − | 4.14590i | 0.0678651 | − | 0.208867i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −4.47214 | − | 3.24920i | −0.224733 | − | 0.163278i | ||||
\(397\) | 7.22494 | + | 7.22494i | 0.362609 | + | 0.362609i | 0.864773 | − | 0.502164i | \(-0.167462\pi\) |
−0.502164 | + | 0.864773i | \(0.667462\pi\) | |||||||
\(398\) | −11.6357 | − | 22.8364i | −0.583246 | − | 1.14469i | ||||
\(399\) | 7.60845 | 0.380899 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.88854 | −0.194185 | −0.0970923 | − | 0.995275i | \(-0.530954\pi\) | ||||
−0.0970923 | + | 0.995275i | \(0.530954\pi\) | |||||||
\(402\) | 4.94897 | + | 9.71290i | 0.246832 | + | 0.484436i | ||||
\(403\) | 16.1803 | + | 16.1803i | 0.806000 | + | 0.806000i | ||||
\(404\) | −19.9192 | − | 14.4721i | −0.991017 | − | 0.720016i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.05573 | + | 3.24920i | −0.0523949 | + | 0.161255i | ||||
\(407\) | −3.80423 | − | 3.80423i | −0.188568 | − | 0.188568i | ||||
\(408\) | −9.04029 | − | 1.43184i | −0.447561 | − | 0.0708867i | ||||
\(409\) | − | 27.5967i | − | 1.36457i | −0.731086 | − | 0.682286i | \(-0.760986\pi\) | ||
0.731086 | − | 0.682286i | \(-0.239014\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.2361 | −0.554234 | ||||||||
\(412\) | −3.24367 | − | 20.4797i | −0.159804 | − | 1.00896i | ||||
\(413\) | −9.95959 | + | 9.95959i | −0.490080 | + | 0.490080i | ||||
\(414\) | 3.63271 | − | 11.1803i | 0.178538 | − | 0.549484i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | − | 24.6215i | − | 1.20717i | ||||||
\(417\) | −8.76393 | + | 8.76393i | −0.429172 | + | 0.429172i | ||||
\(418\) | −3.11507 | + | 1.58721i | −0.152363 | + | 0.0776329i | ||||
\(419\) | − | 24.8328i | − | 1.21316i | −0.795022 | − | 0.606581i | \(-0.792540\pi\) | ||
0.795022 | − | 0.606581i | \(-0.207460\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 3.46120i | − | 0.168689i | −0.996437 | − | 0.0843443i | \(-0.973120\pi\) | ||
0.996437 | − | 0.0843443i | \(-0.0268795\pi\) | |||||||
\(422\) | 10.0853 | + | 19.7935i | 0.490944 | + | 0.963532i | ||||
\(423\) | −16.3925 | + | 16.3925i | −0.797029 | + | 0.797029i | ||||
\(424\) | −2.35114 | + | 1.70820i | −0.114182 | + | 0.0829577i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −21.7082 | − | 7.05342i | −1.05177 | − | 0.341739i | ||||
\(427\) | −11.7082 | + | 11.7082i | −0.566600 | + | 0.566600i | ||||
\(428\) | −5.34946 | − | 33.7752i | −0.258576 | − | 1.63258i | ||||
\(429\) | 12.3107 | 0.594368 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 11.7557i | − | 0.566252i | −0.959083 | − | 0.283126i | \(-0.908628\pi\) | ||
0.959083 | − | 0.283126i | \(-0.0913715\pi\) | |||||||
\(432\) | −6.23015 | − | 3.17442i | −0.299748 | − | 0.152729i | ||||
\(433\) | −23.1803 | − | 23.1803i | −1.11398 | − | 1.11398i | −0.992608 | − | 0.121369i | \(-0.961272\pi\) |
−0.121369 | − | 0.992608i | \(-0.538728\pi\) | |||||||
\(434\) | 11.7557 | + | 3.81966i | 0.564292 | + | 0.183350i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.88854 | + | 10.8576i | −0.377793 | + | 0.519987i | ||||
\(437\) | −5.25731 | − | 5.25731i | −0.251491 | − | 0.251491i | ||||
\(438\) | 35.5093 | − | 18.0929i | 1.69670 | − | 0.864512i | ||||
\(439\) | 11.2007 | 0.534579 | 0.267290 | − | 0.963616i | \(-0.413872\pi\) | ||||
0.267290 | + | 0.963616i | \(0.413872\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 9.47214 | 0.451054 | ||||||||
\(442\) | 7.75621 | − | 3.95199i | 0.368926 | − | 0.187977i | ||||
\(443\) | −10.0902 | − | 10.0902i | −0.479398 | − | 0.479398i | 0.425541 | − | 0.904939i | \(-0.360084\pi\) |
−0.904939 | + | 0.425541i | \(0.860084\pi\) | |||||||
\(444\) | 16.1150 | + | 11.7082i | 0.764782 | + | 0.555647i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.29180 | − | 1.06957i | −0.155871 | − | 0.0506456i | ||||
\(447\) | 21.3723 | + | 21.3723i | 1.01087 | + | 1.01087i | ||||
\(448\) | −6.03810 | − | 11.8504i | −0.285273 | − | 0.559881i | ||||
\(449\) | 31.5967i | 1.49114i | 0.666426 | + | 0.745571i | \(0.267823\pi\) | ||||
−0.666426 | + | 0.745571i | \(0.732177\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.52786 | −0.448650 | ||||||||
\(452\) | −13.1529 | + | 2.08321i | −0.618658 | + | 0.0979859i | ||||
\(453\) | 23.7234 | − | 23.7234i | 1.11462 | − | 1.11462i | ||||
\(454\) | 22.0988 | + | 7.18034i | 1.03715 | + | 0.336990i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 10.4721 | − | 7.60845i | 0.490403 | − | 0.356298i | ||||
\(457\) | 21.6525 | − | 21.6525i | 1.01286 | − | 1.01286i | 0.0129439 | − | 0.999916i | \(-0.495880\pi\) |
0.999916 | − | 0.0129439i | \(-0.00412028\pi\) | |||||||
\(458\) | 13.7218 | + | 26.9306i | 0.641180 | + | 1.25839i | ||||
\(459\) | − | 2.47214i | − | 0.115389i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 6.49839i | − | 0.302660i | −0.988483 | − | 0.151330i | \(-0.951644\pi\) | ||
0.988483 | − | 0.151330i | \(-0.0483557\pi\) | |||||||
\(462\) | 5.92522 | − | 3.01905i | 0.275666 | − | 0.140459i | ||||
\(463\) | 17.2905 | − | 17.2905i | 0.803559 | − | 0.803559i | −0.180091 | − | 0.983650i | \(-0.557639\pi\) |
0.983650 | + | 0.180091i | \(0.0576392\pi\) | |||||||
\(464\) | 1.79611 | + | 5.52786i | 0.0833824 | + | 0.256625i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.14590 | + | 6.60440i | −0.0994068 | + | 0.305943i | ||||
\(467\) | 2.67376 | − | 2.67376i | 0.123727 | − | 0.123727i | −0.642532 | − | 0.766259i | \(-0.722116\pi\) |
0.766259 | + | 0.642532i | \(0.222116\pi\) | |||||||
\(468\) | −19.2253 | + | 3.04499i | −0.888691 | + | 0.140755i | ||||
\(469\) | −5.60034 | −0.258600 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 31.6749i | 1.45950i | ||||||||
\(472\) | −3.74861 | + | 23.6678i | −0.172544 | + | 1.08940i | ||||
\(473\) | −2.94427 | − | 2.94427i | −0.135378 | − | 0.135378i | ||||
\(474\) | 12.3107 | − | 37.8885i | 0.565451 | − | 1.74028i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.76393 | − | 3.80423i | 0.126685 | − | 0.174366i | ||||
\(477\) | 1.62460 | + | 1.62460i | 0.0743853 | + | 0.0743853i | ||||
\(478\) | 18.8270 | + | 36.9501i | 0.861127 | + | 1.69006i | ||||
\(479\) | −7.60845 | −0.347639 | −0.173820 | − | 0.984778i | \(-0.555611\pi\) | ||||
−0.173820 | + | 0.984778i | \(0.555611\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.9443 | −0.863784 | ||||||||
\(482\) | 4.34271 | + | 8.52305i | 0.197805 | + | 0.388214i | ||||
\(483\) | 10.0000 | + | 10.0000i | 0.455016 | + | 0.455016i | ||||
\(484\) | 11.1352 | − | 15.3262i | 0.506144 | − | 0.696647i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −8.41641 | + | 25.9030i | −0.381776 | + | 1.17499i | ||||
\(487\) | 9.33905 | + | 9.33905i | 0.423193 | + | 0.423193i | 0.886302 | − | 0.463109i | \(-0.153266\pi\) |
−0.463109 | + | 0.886302i | \(0.653266\pi\) | |||||||
\(488\) | −4.40676 | + | 27.8232i | −0.199484 | + | 1.25950i | ||||
\(489\) | 23.1246i | 1.04573i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.7639 | −0.485769 | −0.242885 | − | 0.970055i | \(-0.578094\pi\) | ||||
−0.242885 | + | 0.970055i | \(0.578094\pi\) | |||||||
\(492\) | 34.8422 | − | 5.51846i | 1.57081 | − | 0.248792i | ||||
\(493\) | −1.45309 | + | 1.45309i | −0.0654437 | + | 0.0654437i | ||||
\(494\) | −3.80423 | + | 11.7082i | −0.171160 | + | 0.526777i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.0000 | − | 6.49839i | 0.898027 | − | 0.291787i | ||||
\(497\) | 8.29180 | − | 8.29180i | 0.371938 | − | 0.371938i | ||||
\(498\) | −17.8683 | + | 9.10434i | −0.800696 | + | 0.407975i | ||||
\(499\) | 23.8885i | 1.06940i | 0.845043 | + | 0.534699i | \(0.179575\pi\) | ||||
−0.845043 | + | 0.534699i | \(0.820425\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 0.898056i | − | 0.0401222i | ||||||
\(502\) | −14.2407 | − | 27.9489i | −0.635592 | − | 1.24742i | ||||
\(503\) | −5.53483 | + | 5.53483i | −0.246786 | + | 0.246786i | −0.819650 | − | 0.572864i | \(-0.805832\pi\) |
0.572864 | + | 0.819650i | \(0.305832\pi\) | |||||||
\(504\) | −8.50651 | + | 6.18034i | −0.378910 | + | 0.275294i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.18034 | − | 2.00811i | −0.274750 | − | 0.0892716i | ||||
\(507\) | 9.61803 | − | 9.61803i | 0.427152 | − | 0.427152i | ||||
\(508\) | 24.5391 | − | 3.88661i | 1.08875 | − | 0.172440i | ||||
\(509\) | −9.06154 | −0.401646 | −0.200823 | − | 0.979628i | \(-0.564362\pi\) | ||||
−0.200823 | + | 0.979628i | \(0.564362\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 20.4742i | 0.905726i | ||||||||
\(512\) | −20.1612 | − | 10.2726i | −0.891007 | − | 0.453990i | ||||
\(513\) | 2.47214 | + | 2.47214i | 0.109147 | + | 0.109147i | ||||
\(514\) | −35.5851 | − | 11.5623i | −1.56959 | − | 0.509991i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 12.4721 | + | 9.06154i | 0.549055 | + | 0.398912i | ||||
\(517\) | 9.06154 | + | 9.06154i | 0.398526 | + | 0.398526i | ||||
\(518\) | −9.11798 | + | 4.64584i | −0.400621 | + | 0.204127i | ||||
\(519\) | 20.4742 | 0.898718 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.47214 | 0.371171 | 0.185586 | − | 0.982628i | \(-0.440582\pi\) | ||||
0.185586 | + | 0.982628i | \(0.440582\pi\) | |||||||
\(522\) | 4.09423 | − | 2.08611i | 0.179199 | − | 0.0913067i | ||||
\(523\) | 16.7426 | + | 16.7426i | 0.732105 | + | 0.732105i | 0.971036 | − | 0.238932i | \(-0.0767972\pi\) |
−0.238932 | + | 0.971036i | \(0.576797\pi\) | |||||||
\(524\) | −0.343027 | + | 0.472136i | −0.0149852 | + | 0.0206254i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 31.1803 | + | 10.1311i | 1.35953 | + | 0.441737i | ||||
\(527\) | 5.25731 | + | 5.25731i | 0.229012 | + | 0.229012i | ||||
\(528\) | 5.13632 | − | 10.0806i | 0.223529 | − | 0.438701i | ||||
\(529\) | 9.18034i | 0.399145i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.9443 | 0.822111 | ||||||||
\(532\) | 1.04029 | + | 6.56816i | 0.0451025 | + | 0.284766i | ||||
\(533\) | −23.7234 | + | 23.7234i | −1.02758 | + | 1.02758i | ||||
\(534\) | −19.9192 | − | 6.47214i | −0.861987 | − | 0.280077i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −7.70820 | + | 5.60034i | −0.332944 | + | 0.241898i | ||||
\(537\) | −26.6525 | + | 26.6525i | −1.15014 | + | 1.15014i | ||||
\(538\) | −11.4996 | − | 22.5693i | −0.495784 | − | 0.973030i | ||||
\(539\) | − | 5.23607i | − | 0.225533i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 2.90617i | − | 0.124946i | −0.998047 | − | 0.0624730i | \(-0.980101\pi\) | ||
0.998047 | − | 0.0624730i | \(-0.0198987\pi\) | |||||||
\(542\) | −39.9127 | + | 20.3365i | −1.71440 | + | 0.873529i | ||||
\(543\) | 15.2169 | − | 15.2169i | 0.653020 | − | 0.653020i | ||||
\(544\) | − | 8.00000i | − | 0.342997i | ||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 7.23607 | − | 22.2703i | 0.309675 | − | 0.953082i | ||||
\(547\) | 8.56231 | − | 8.56231i | 0.366098 | − | 0.366098i | −0.499954 | − | 0.866052i | \(-0.666650\pi\) |
0.866052 | + | 0.499954i | \(0.166650\pi\) | |||||||
\(548\) | −1.53629 | − | 9.69977i | −0.0656272 | − | 0.414354i | ||||
\(549\) | 22.2703 | 0.950474 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 2.90617i | − | 0.123807i | ||||||
\(552\) | 23.7638 | + | 3.76382i | 1.01146 | + | 0.160199i | ||||
\(553\) | 14.4721 | + | 14.4721i | 0.615418 | + | 0.615418i | ||||
\(554\) | −1.34708 | + | 4.14590i | −0.0572321 | + | 0.176142i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.76393 | − | 6.36737i | −0.371674 | − | 0.270037i | ||||
\(557\) | −17.1845 | − | 17.1845i | −0.728132 | − | 0.728132i | 0.242116 | − | 0.970247i | \(-0.422159\pi\) |
−0.970247 | + | 0.242116i | \(0.922159\pi\) | |||||||
\(558\) | −7.54763 | − | 14.8131i | −0.319517 | − | 0.627087i | ||||
\(559\) | −14.6619 | −0.620131 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.00000 | 0.168880 | ||||||||
\(562\) | 2.38081 | + | 4.67261i | 0.100429 | + | 0.197102i | ||||
\(563\) | −11.3262 | − | 11.3262i | −0.477344 | − | 0.477344i | 0.426937 | − | 0.904281i | \(-0.359593\pi\) |
−0.904281 | + | 0.426937i | \(0.859593\pi\) | |||||||
\(564\) | −38.3853 | − | 27.8885i | −1.61631 | − | 1.17432i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 9.65248 | − | 29.7073i | 0.405724 | − | 1.24869i | ||||
\(567\) | −12.5882 | − | 12.5882i | −0.528657 | − | 0.528657i | ||||
\(568\) | 3.12088 | − | 19.7045i | 0.130949 | − | 0.826781i | ||||
\(569\) | − | 13.1246i | − | 0.550212i | −0.961414 | − | 0.275106i | \(-0.911287\pi\) | ||
0.961414 | − | 0.275106i | \(-0.0887130\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.65248 | −0.362095 | −0.181047 | − | 0.983474i | \(-0.557949\pi\) | ||||
−0.181047 | + | 0.983474i | \(0.557949\pi\) | |||||||
\(572\) | 1.68323 | + | 10.6275i | 0.0703794 | + | 0.444358i | ||||
\(573\) | 20.8172 | − | 20.8172i | 0.869653 | − | 0.869653i | ||||
\(574\) | −5.60034 | + | 17.2361i | −0.233754 | + | 0.719420i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −5.52786 | + | 17.0130i | −0.230328 | + | 0.708876i | ||||
\(577\) | −21.7639 | + | 21.7639i | −0.906044 | + | 0.906044i | −0.995950 | − | 0.0899059i | \(-0.971343\pi\) |
0.0899059 | + | 0.995950i | \(0.471343\pi\) | |||||||
\(578\) | −18.9011 | + | 9.63059i | −0.786182 | + | 0.400580i | ||||
\(579\) | 24.1803i | 1.00490i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − | 10.3026i | − | 0.427425i | ||||||
\(582\) | 0.490475 | + | 0.962611i | 0.0203308 | + | 0.0399015i | ||||
\(583\) | 0.898056 | − | 0.898056i | 0.0371937 | − | 0.0371937i | ||||
\(584\) | 20.4742 | + | 28.1803i | 0.847229 | + | 1.16611i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.38197 | − | 0.449028i | −0.0570885 | − | 0.0185492i | ||||
\(587\) | −5.90983 | + | 5.90983i | −0.243925 | + | 0.243925i | −0.818472 | − | 0.574547i | \(-0.805178\pi\) |
0.574547 | + | 0.818472i | \(0.305178\pi\) | |||||||
\(588\) | 3.03269 | + | 19.1477i | 0.125066 | + | 0.789636i | ||||
\(589\) | −10.5146 | −0.433247 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 7.05342i | − | 0.290139i | ||||||
\(592\) | −7.90398 | + | 15.5124i | −0.324851 | + | 0.637557i | ||||
\(593\) | 6.41641 | + | 6.41641i | 0.263490 | + | 0.263490i | 0.826470 | − | 0.562980i | \(-0.190345\pi\) |
−0.562980 | + | 0.826470i | \(0.690345\pi\) | |||||||
\(594\) | 2.90617 | + | 0.944272i | 0.119242 | + | 0.0387439i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −15.5279 | + | 21.3723i | −0.636046 | + | 0.875442i | ||||
\(597\) | −29.3238 | − | 29.3238i | −1.20014 | − | 1.20014i | ||||
\(598\) | −20.3884 | + | 10.3884i | −0.833744 | + | 0.424814i | ||||
\(599\) | 27.5276 | 1.12475 | 0.562374 | − | 0.826883i | \(-0.309888\pi\) | ||||
0.562374 | + | 0.826883i | \(0.309888\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.29180 | −0.175066 | −0.0875330 | − | 0.996162i | \(-0.527898\pi\) | ||||
−0.0875330 | + | 0.996162i | \(0.527898\pi\) | |||||||
\(602\) | −7.05684 | + | 3.59564i | −0.287615 | + | 0.146547i | ||||
\(603\) | 5.32624 | + | 5.32624i | 0.216901 | + | 0.216901i | ||||
\(604\) | 23.7234 | + | 17.2361i | 0.965292 | + | 0.701326i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −37.8885 | − | 12.3107i | −1.53912 | − | 0.500089i | ||||
\(607\) | −6.08985 | − | 6.08985i | −0.247180 | − | 0.247180i | 0.572633 | − | 0.819812i | \(-0.305922\pi\) |
−0.819812 | + | 0.572633i | \(0.805922\pi\) | |||||||
\(608\) | 8.00000 | + | 8.00000i | 0.324443 | + | 0.324443i | ||||
\(609\) | 5.52786i | 0.224000i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 45.1246 | 1.82555 | ||||||||
\(612\) | −6.24669 | + | 0.989378i | −0.252507 | + | 0.0399933i | ||||
\(613\) | −27.3561 | + | 27.3561i | −1.10490 | + | 1.10490i | −0.111094 | + | 0.993810i | \(0.535435\pi\) |
−0.993810 | + | 0.111094i | \(0.964565\pi\) | |||||||
\(614\) | −12.4822 | − | 4.05573i | −0.503743 | − | 0.163676i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.41641 | + | 4.70228i | 0.137651 | + | 0.189460i | ||||
\(617\) | 30.8885 | − | 30.8885i | 1.24353 | − | 1.24353i | 0.284998 | − | 0.958528i | \(-0.408007\pi\) |
0.958528 | − | 0.284998i | \(-0.0919929\pi\) | |||||||
\(618\) | −15.2314 | − | 29.8932i | −0.612695 | − | 1.20248i | ||||
\(619\) | 27.3050i | 1.09748i | 0.835994 | + | 0.548739i | \(0.184892\pi\) | ||||
−0.835994 | + | 0.548739i | \(0.815108\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.49839i | 0.260772i | ||||||||
\(622\) | −10.2866 | + | 5.24128i | −0.412455 | + | 0.210156i | ||||
\(623\) | 7.60845 | − | 7.60845i | 0.304826 | − | 0.304826i | ||||
\(624\) | −12.3107 | − | 37.8885i | −0.492824 | − | 1.51676i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −3.85410 | + | 11.8617i | −0.154041 | + | 0.474089i | ||||
\(627\) | −4.00000 | + | 4.00000i | −0.159745 | + | 0.159745i | ||||
\(628\) | −27.3440 | + | 4.33087i | −1.09115 | + | 0.172820i | ||||
\(629\) | −6.15537 | −0.245431 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 28.0827i | − | 1.11795i | −0.829183 | − | 0.558977i | \(-0.811194\pi\) | ||
0.829183 | − | 0.558977i | \(-0.188806\pi\) | |||||||
\(632\) | 34.3913 | + | 5.44705i | 1.36801 | + | 0.216672i | ||||
\(633\) | 25.4164 | + | 25.4164i | 1.01021 | + | 1.01021i | ||||
\(634\) | −6.60440 | + | 20.3262i | −0.262294 | + | 0.807258i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −2.76393 | + | 3.80423i | −0.109597 | + | 0.150847i | ||||
\(637\) | −13.0373 | − | 13.0373i | −0.516556 | − | 0.516556i | ||||
\(638\) | −1.15317 | − | 2.26323i | −0.0456546 | − | 0.0896023i | ||||
\(639\) | −15.7719 | −0.623928 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.34752 | −0.290210 | −0.145105 | − | 0.989416i | \(-0.546352\pi\) | ||||
−0.145105 | + | 0.989416i | \(0.546352\pi\) | |||||||
\(642\) | −25.1195 | − | 49.2999i | −0.991389 | − | 1.94571i | ||||
\(643\) | −8.56231 | − | 8.56231i | −0.337664 | − | 0.337664i | 0.517823 | − | 0.855488i | \(-0.326742\pi\) |
−0.855488 | + | 0.517823i | \(0.826742\pi\) | |||||||
\(644\) | −7.26543 | + | 10.0000i | −0.286298 | + | 0.394055i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.23607 | + | 3.80423i | −0.0486324 | + | 0.149675i | ||||
\(647\) | −22.8909 | − | 22.8909i | −0.899933 | − | 0.899933i | 0.0954968 | − | 0.995430i | \(-0.469556\pi\) |
−0.995430 | + | 0.0954968i | \(0.969556\pi\) | |||||||
\(648\) | −29.9145 | − | 4.73799i | −1.17515 | − | 0.186126i | ||||
\(649\) | − | 10.4721i | − | 0.411067i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 20.0000 | 0.783862 | ||||||||
\(652\) | −19.9628 | + | 3.16180i | −0.781804 | + | 0.123826i | ||||
\(653\) | 11.2412 | − | 11.2412i | 0.439901 | − | 0.439901i | −0.452078 | − | 0.891979i | \(-0.649317\pi\) |
0.891979 | + | 0.452078i | \(0.149317\pi\) | |||||||
\(654\) | −6.71040 | + | 20.6525i | −0.262397 | + | 0.807576i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 9.52786 | + | 29.3238i | 0.372001 | + | 1.14490i | ||||
\(657\) | 19.4721 | − | 19.4721i | 0.759680 | − | 0.759680i | ||||
\(658\) | 21.7187 | − | 11.0662i | 0.846684 | − | 0.431407i | ||||
\(659\) | − | 18.0000i | − | 0.701180i | −0.936529 | − | 0.350590i | \(-0.885981\pi\) | ||
0.936529 | − | 0.350590i | \(-0.114019\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 2.35114i | − | 0.0914488i | −0.998954 | − | 0.0457244i | \(-0.985440\pi\) | ||
0.998954 | − | 0.0457244i | \(-0.0145596\pi\) | |||||||
\(662\) | 18.0213 | + | 35.3689i | 0.700419 | + | 1.37465i | ||||
\(663\) | 9.95959 | − | 9.95959i | 0.386799 | − | 0.386799i | ||||
\(664\) | −10.3026 | − | 14.1803i | −0.399819 | − | 0.550304i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 13.0902 | + | 4.25325i | 0.507234 | + | 0.164810i | ||||
\(667\) | 3.81966 | − | 3.81966i | 0.147898 | − | 0.147898i | ||||
\(668\) | 0.775266 | − | 0.122790i | 0.0299959 | − | 0.00475089i | ||||
\(669\) | −5.60034 | −0.216522 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 12.3107i | − | 0.475251i | ||||||
\(672\) | −15.2169 | − | 15.2169i | −0.587005 | − | 0.587005i | ||||
\(673\) | 30.7082 | + | 30.7082i | 1.18371 | + | 1.18371i | 0.978775 | + | 0.204940i | \(0.0656998\pi\) |
0.204940 | + | 0.978775i | \(0.434300\pi\) | |||||||
\(674\) | 3.91023 | + | 1.27051i | 0.150616 | + | 0.0489382i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 9.61803 | + | 6.98791i | 0.369924 | + | 0.268766i | ||||
\(677\) | 8.33499 | + | 8.33499i | 0.320340 | + | 0.320340i | 0.848897 | − | 0.528558i | \(-0.177267\pi\) |
−0.528558 | + | 0.848897i | \(0.677267\pi\) | |||||||
\(678\) | −19.1986 | + | 9.78216i | −0.737316 | + | 0.375682i | ||||
\(679\) | −0.555029 | −0.0213001 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 37.5967 | 1.44071 | ||||||||
\(682\) | −8.18845 | + | 4.17223i | −0.313552 | + | 0.159763i | ||||
\(683\) | −1.79837 | − | 1.79837i | −0.0688129 | − | 0.0688129i | 0.671863 | − | 0.740676i | \(-0.265494\pi\) |
−0.740676 | + | 0.671863i | \(0.765494\pi\) | |||||||
\(684\) | 5.25731 | − | 7.23607i | 0.201018 | − | 0.276678i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −25.1246 | − | 8.16348i | −0.959262 | − | 0.311683i | ||||
\(687\) | 34.5811 | + | 34.5811i | 1.31935 | + | 1.31935i | ||||
\(688\) | −6.11727 | + | 12.0058i | −0.233219 | + | 0.457717i | ||||
\(689\) | − | 4.47214i | − | 0.170375i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −31.1246 | −1.18404 | −0.592018 | − | 0.805925i | \(-0.701669\pi\) | ||||
−0.592018 | + | 0.805925i | \(0.701669\pi\) | |||||||
\(692\) | 2.79941 | + | 17.6748i | 0.106418 | + | 0.671895i | ||||
\(693\) | 3.24920 | − | 3.24920i | 0.123427 | − | 0.123427i | ||||
\(694\) | 5.77185 | + | 1.87539i | 0.219096 | + | 0.0711888i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.52786 | + | 7.60845i | 0.209533 | + | 0.288398i | ||||
\(697\) | −7.70820 | + | 7.70820i | −0.291969 | + | 0.291969i | ||||
\(698\) | 9.99009 | + | 19.6067i | 0.378131 | + | 0.742123i | ||||
\(699\) | 11.2361i | 0.424987i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.3934i | 1.52564i | 0.646612 | + | 0.762819i | \(0.276185\pi\) | ||||
−0.646612 | + | 0.762819i | \(0.723815\pi\) | |||||||
\(702\) | 9.58721 | − | 4.88493i | 0.361846 | − | 0.184370i | ||||
\(703\) | 6.15537 | − | 6.15537i | 0.232154 | − | 0.232154i | ||||
\(704\) | 9.40456 | + | 3.05573i | 0.354448 | + | 0.115167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.72949 | − | 8.40051i | 0.102726 | − | 0.316157i | ||||
\(707\) | 14.4721 | − | 14.4721i | 0.544281 | − | 0.544281i | ||||
\(708\) | 6.06538 | + | 38.2953i | 0.227951 | + | 1.43923i | ||||
\(709\) | 13.7638 | 0.516911 | 0.258456 | − | 0.966023i | \(-0.416786\pi\) | ||||
0.258456 | + | 0.966023i | \(0.416786\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 27.5276i | − | 1.03237i | ||||||
\(712\) | 2.86368 | − | 18.0806i | 0.107321 | − | 0.677599i | ||||
\(713\) | −13.8197 | − | 13.8197i | −0.517550 | − | 0.517550i | ||||
\(714\) | 2.35114 | − | 7.23607i | 0.0879892 | − | 0.270803i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −26.6525 | − | 19.3642i | −0.996050 | − | 0.723673i | ||||
\(717\) | 47.4468 | + | 47.4468i | 1.77193 | + | 1.77193i | ||||
\(718\) | −1.15317 | − | 2.26323i | −0.0430361 | − | 0.0844631i | ||||
\(719\) | −44.5407 | −1.66109 | −0.830543 | − | 0.556954i | \(-0.811970\pi\) | ||||
−0.830543 | + | 0.556954i | \(0.811970\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 17.2361 | 0.641905 | ||||||||
\(722\) | 9.63059 | + | 18.9011i | 0.358414 | + | 0.703426i | ||||
\(723\) | 10.9443 | + | 10.9443i | 0.407022 | + | 0.407022i | ||||
\(724\) | 15.2169 | + | 11.0557i | 0.565532 | + | 0.410883i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 9.47214 | − | 29.1522i | 0.351544 | − | 1.08194i | ||||
\(727\) | −5.87785 | − | 5.87785i | −0.217997 | − | 0.217997i | 0.589657 | − | 0.807654i | \(-0.299263\pi\) |
−0.807654 | + | 0.589657i | \(0.799263\pi\) | |||||||
\(728\) | 20.2147 | + | 3.20170i | 0.749207 | + | 0.118663i | ||||
\(729\) | 11.9443i | 0.442380i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.76393 | −0.176200 | ||||||||
\(732\) | 7.13028 | + | 45.0188i | 0.263543 | + | 1.66394i | ||||
\(733\) | −1.28157 | + | 1.28157i | −0.0473359 | + | 0.0473359i | −0.730379 | − | 0.683043i | \(-0.760656\pi\) |
0.683043 | + | 0.730379i | \(0.260656\pi\) | |||||||
\(734\) | 14.8334 | − | 45.6525i | 0.547510 | − | 1.68506i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 21.0292i | 0.775148i | ||||||||
\(737\) | 2.94427 | − | 2.94427i | 0.108454 | − | 0.108454i | ||||
\(738\) | 21.7187 | − | 11.0662i | 0.799477 | − | 0.407354i | ||||
\(739\) | − | 17.4164i | − | 0.640673i | −0.947304 | − | 0.320336i | \(-0.896204\pi\) | ||
0.947304 | − | 0.320336i | \(-0.103796\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 19.9192i | 0.731750i | ||||||||
\(742\) | −1.09673 | − | 2.15246i | −0.0402624 | − | 0.0790194i | ||||
\(743\) | 13.4863 | − | 13.4863i | 0.494765 | − | 0.494765i | −0.415039 | − | 0.909804i | \(-0.636232\pi\) |
0.909804 | + | 0.415039i | \(0.136232\pi\) | |||||||
\(744\) | 27.5276 | − | 20.0000i | 1.00921 | − | 0.733236i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 28.6180 | + | 9.29856i | 1.04778 | + | 0.340445i | ||||
\(747\) | −9.79837 | + | 9.79837i | −0.358504 | + | 0.358504i | ||||
\(748\) | 0.546915 | + | 3.45309i | 0.0199972 | + | 0.126257i | ||||
\(749\) | 28.4257 | 1.03865 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 7.05342i | − | 0.257383i | −0.991685 | − | 0.128692i | \(-0.958922\pi\) | ||
0.991685 | − | 0.128692i | \(-0.0410777\pi\) | |||||||
\(752\) | 18.8270 | − | 36.9501i | 0.686550 | − | 1.34743i | ||||
\(753\) | −35.8885 | − | 35.8885i | −1.30785 | − | 1.30785i | ||||
\(754\) | −8.50651 | − | 2.76393i | −0.309789 | − | 0.100656i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.41641 | − | 4.70228i | 0.124254 | − | 0.171020i | ||||
\(757\) | 38.0018 | + | 38.0018i | 1.38120 | + | 1.38120i | 0.842497 | + | 0.538701i | \(0.181085\pi\) |
0.538701 | + | 0.842497i | \(0.318915\pi\) | |||||||
\(758\) | 45.2222 | − | 23.0419i | 1.64254 | − | 0.836918i | ||||
\(759\) | −10.5146 | −0.381657 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.9443 | −0.541729 | −0.270865 | − | 0.962617i | \(-0.587310\pi\) | ||||
−0.270865 | + | 0.962617i | \(0.587310\pi\) | |||||||
\(762\) | 35.8185 | − | 18.2504i | 1.29757 | − | 0.661143i | ||||
\(763\) | −7.88854 | − | 7.88854i | −0.285584 | − | 0.285584i | ||||
\(764\) | 20.8172 | + | 15.1246i | 0.753141 | + | 0.547189i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −21.1803 | − | 6.88191i | −0.765277 | − | 0.248654i | ||||
\(767\) | −26.0746 | − | 26.0746i | −0.941498 | − | 0.941498i | ||||
\(768\) | −36.1612 | − | 5.72737i | −1.30485 | − | 0.206669i | ||||
\(769\) | − | 2.47214i | − | 0.0891475i | −0.999006 | − | 0.0445738i | \(-0.985807\pi\) | ||
0.999006 | − | 0.0445738i | \(-0.0141930\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −60.5410 | −2.18033 | ||||||||
\(772\) | −20.8742 | + | 3.30615i | −0.751279 | + | 0.118991i | ||||
\(773\) | 4.18774 | − | 4.18774i | 0.150623 | − | 0.150623i | −0.627773 | − | 0.778396i | \(-0.716034\pi\) |
0.778396 | + | 0.627773i | \(0.216034\pi\) | |||||||
\(774\) | 10.1311 | + | 3.29180i | 0.364155 | + | 0.118321i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.763932 | + | 0.555029i | −0.0274236 | + | 0.0199244i | ||||
\(777\) | −11.7082 | + | 11.7082i | −0.420029 | + | 0.420029i | ||||
\(778\) | −15.2314 | − | 29.8932i | −0.546071 | − | 1.07172i | ||||
\(779\) | − | 15.4164i | − | 0.552350i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.71851i | 0.311973i | ||||||||
\(782\) | −6.62460 | + | 3.37540i | −0.236895 | + | 0.120704i | ||||
\(783\) | −1.79611 | + | 1.79611i | −0.0641878 | + | 0.0641878i | ||||
\(784\) | −16.1150 | + | 5.23607i | −0.575534 | + | 0.187002i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.291796 | + | 0.898056i | −0.0104080 | + | 0.0320326i | ||||
\(787\) | −11.1459 | + | 11.1459i | −0.397308 | + | 0.397308i | −0.877283 | − | 0.479974i | \(-0.840646\pi\) |
0.479974 | + | 0.877283i | \(0.340646\pi\) | |||||||
\(788\) | 6.08902 | − | 0.964406i | 0.216912 | − | 0.0343555i | ||||
\(789\) | 53.0472 | 1.88853 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 11.0697i | − | 0.393591i | ||||||
\(792\) | 1.22294 | − | 7.72133i | 0.0434552 | − | 0.274366i | ||||
\(793\) | −30.6525 | − | 30.6525i | −1.08850 | − | 1.08850i | ||||
\(794\) | −4.46526 | + | 13.7426i | −0.158466 | + | 0.487708i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.3050 | − | 29.3238i | 0.755134 | − | 1.03935i | ||||
\(797\) | −19.7477 | − | 19.7477i | −0.699498 | − | 0.699498i | 0.264804 | − | 0.964302i | \(-0.414693\pi\) |
−0.964302 | + | 0.264804i | \(0.914693\pi\) | |||||||
\(798\) | 4.88493 | + | 9.58721i | 0.172925 | + | 0.339384i | ||||
\(799\) | 14.6619 | 0.518700 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −14.4721 | −0.511348 | ||||||||
\(802\) | −2.49660 | − | 4.89985i | −0.0881580 | − | 0.173020i | ||||
\(803\) | −10.7639 | − | 10.7639i | −0.379851 | − | 0.379851i | ||||
\(804\) | −9.06154 | + | 12.4721i | −0.319576 | + | 0.439858i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −10.0000 | + | 30.7768i | −0.352235 | + | 1.08407i | ||||
\(807\) | −28.9807 | − | 28.9807i | −1.02017 | − | 1.02017i | ||||
\(808\) | 5.44705 | − | 34.3913i | 0.191627 | − | 1.20988i | ||||
\(809\) | − | 12.9443i | − | 0.455096i | −0.973767 | − | 0.227548i | \(-0.926929\pi\) | ||
0.973767 | − | 0.227548i | \(-0.0730709\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −32.0689 | −1.12609 | −0.563045 | − | 0.826426i | \(-0.690370\pi\) | ||||
−0.563045 | + | 0.826426i | \(0.690370\pi\) | |||||||
\(812\) | −4.77205 | + | 0.755818i | −0.167466 | + | 0.0265240i | ||||
\(813\) | −51.2511 | + | 51.2511i | −1.79745 | + | 1.79745i | ||||
\(814\) | 2.35114 | − | 7.23607i | 0.0824074 | − | 0.253624i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −4.00000 | − | 12.3107i | −0.140028 | − | 0.430962i | ||||
\(817\) | 4.76393 | − | 4.76393i | 0.166669 | − | 0.166669i | ||||
\(818\) | 34.7739 | − | 17.7182i | 1.21584 | − | 0.619502i | ||||
\(819\) | − | 16.1803i | − | 0.565387i | ||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 20.4742i | 0.714555i | 0.933998 | + | 0.357278i | \(0.116295\pi\) | ||||
−0.933998 | + | 0.357278i | \(0.883705\pi\) | |||||||
\(822\) | −7.21400 | − | 14.1583i | −0.251617 | − | 0.493826i | ||||
\(823\) | −24.3440 | + | 24.3440i | −0.848577 | + | 0.848577i | −0.989956 | − | 0.141379i | \(-0.954846\pi\) |
0.141379 | + | 0.989956i | \(0.454846\pi\) | |||||||
\(824\) | 23.7234 | − | 17.2361i | 0.826444 | − | 0.600447i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.9443 | − | 6.15537i | −0.659156 | − | 0.214173i | ||||
\(827\) | −14.8541 | + | 14.8541i | −0.516528 | + | 0.516528i | −0.916519 | − | 0.399991i | \(-0.869013\pi\) |
0.399991 | + | 0.916519i | \(0.369013\pi\) | |||||||
\(828\) | 16.4204 | − | 2.60074i | 0.570648 | − | 0.0903818i | ||||
\(829\) | 3.11817 | 0.108299 | 0.0541493 | − | 0.998533i | \(-0.482755\pi\) | ||||
0.0541493 | + | 0.998533i | \(0.482755\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 7.05342i | 0.244681i | ||||||||
\(832\) | 31.0249 | − | 15.8080i | 1.07559 | − | 0.548042i | ||||
\(833\) | −4.23607 | − | 4.23607i | −0.146771 | − | 0.146771i | ||||
\(834\) | −16.6700 | − | 5.41641i | −0.577235 | − | 0.187555i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −4.00000 | − | 2.90617i | −0.138343 | − | 0.100512i | ||||
\(837\) | 6.49839 | + | 6.49839i | 0.224617 | + | 0.224617i | ||||
\(838\) | 31.2912 | − | 15.9436i | 1.08094 | − | 0.550764i | ||||
\(839\) | −9.40456 | −0.324682 | −0.162341 | − | 0.986735i | \(-0.551904\pi\) | ||||
−0.162341 | + | 0.986735i | \(0.551904\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.8885 | −0.927191 | ||||||||
\(842\) | 4.36137 | − | 2.22223i | 0.150303 | − | 0.0765830i | ||||
\(843\) | 6.00000 | + | 6.00000i | 0.206651 | + | 0.206651i | ||||
\(844\) | −18.4661 | + | 25.4164i | −0.635629 | + | 0.874869i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −31.1803 | − | 10.1311i | −1.07200 | − | 0.348315i | ||||
\(847\) | 11.1352 | + | 11.1352i | 0.382609 | + | 0.382609i | ||||
\(848\) | −3.66199 | − | 1.86588i | −0.125753 | − | 0.0640744i | ||||
\(849\) | − | 50.5410i | − | 1.73456i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 16.1803 | 0.554655 | ||||||||
\(852\) | −5.04969 | − | 31.8825i | −0.173000 | − | 1.09228i | ||||
\(853\) | 24.7930 | − | 24.7930i | 0.848896 | − | 0.848896i | −0.141100 | − | 0.989995i | \(-0.545064\pi\) |
0.989995 | + | 0.141100i | \(0.0450639\pi\) | |||||||
\(854\) | −22.2703 | − | 7.23607i | −0.762075 | − | 0.247613i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 39.1246 | − | 28.4257i | 1.33725 | − | 0.971570i | ||||
\(857\) | 17.8328 | − | 17.8328i | 0.609157 | − | 0.609157i | −0.333568 | − | 0.942726i | \(-0.608253\pi\) |
0.942726 | + | 0.333568i | \(0.108253\pi\) | |||||||
\(858\) | 7.90398 | + | 15.5124i | 0.269837 | + | 0.529586i | ||||
\(859\) | 7.52786i | 0.256847i | 0.991719 | + | 0.128424i | \(0.0409917\pi\) | ||||
−0.991719 | + | 0.128424i | \(0.959008\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 29.3238i | 0.999351i | ||||||||
\(862\) | 14.8131 | − | 7.54763i | 0.504535 | − | 0.257073i | ||||
\(863\) | −6.22088 | + | 6.22088i | −0.211761 | + | 0.211761i | −0.805015 | − | 0.593254i | \(-0.797843\pi\) |
0.593254 | + | 0.805015i | \(0.297843\pi\) | |||||||
\(864\) | − | 9.88854i | − | 0.336415i | ||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14.3262 | − | 44.0916i | 0.486825 | − | 1.49829i | ||||
\(867\) | −24.2705 | + | 24.2705i | −0.824270 | + | 0.824270i | ||||
\(868\) | 2.73457 | + | 17.2654i | 0.0928175 | + | 0.586027i | ||||
\(869\) | −15.2169 | −0.516198 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 14.6619i | − | 0.496799i | ||||||
\(872\) | −18.7462 | − | 2.96911i | −0.634826 | − | 0.100547i | ||||
\(873\) | 0.527864 | + | 0.527864i | 0.0178655 | + | 0.0178655i | ||||
\(874\) | 3.24920 | − | 10.0000i | 0.109906 | − | 0.338255i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 45.5967 | + | 33.1280i | 1.54057 | + | 1.11929i | ||||
\(877\) | 5.08580 | + | 5.08580i | 0.171735 | + | 0.171735i | 0.787741 | − | 0.616006i | \(-0.211250\pi\) |
−0.616006 | + | 0.787741i | \(0.711250\pi\) | |||||||
\(878\) | 7.19128 | + | 14.1137i | 0.242694 | + | 0.476313i | ||||
\(879\) | −2.35114 | −0.0793020 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 47.1246 | 1.58767 | 0.793834 | − | 0.608134i | \(-0.208082\pi\) | ||||
0.793834 | + | 0.608134i | \(0.208082\pi\) | |||||||
\(882\) | 6.08149 | + | 11.9356i | 0.204774 | + | 0.401892i | ||||
\(883\) | −21.7984 | − | 21.7984i | −0.733574 | − | 0.733574i | 0.237752 | − | 0.971326i | \(-0.423589\pi\) |
−0.971326 | + | 0.237752i | \(0.923589\pi\) | |||||||
\(884\) | 9.95959 | + | 7.23607i | 0.334977 | + | 0.243375i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.23607 | − | 19.1926i | 0.209505 | − | 0.644789i | ||||
\(887\) | 28.1482 | + | 28.1482i | 0.945123 | + | 0.945123i | 0.998571 | − | 0.0534473i | \(-0.0170209\pi\) |
−0.0534473 | + | 0.998571i | \(0.517021\pi\) | |||||||
\(888\) | −4.40676 | + | 27.8232i | −0.147881 | + | 0.933684i | ||||
\(889\) | 20.6525i | 0.692662i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 13.2361 | 0.443425 | ||||||||
\(892\) | −0.765727 | − | 4.83461i | −0.0256384 | − | 0.161875i | ||||
\(893\) | −14.6619 | + | 14.6619i | −0.490641 | + | 0.490641i | ||||
\(894\) | −13.2088 | + | 40.6525i | −0.441768 | + | 1.35962i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 11.0557 | − | 15.2169i | 0.369346 | − | 0.508361i | ||||
\(897\) | −26.1803 | + | 26.1803i | −0.874136 | + | 0.874136i | ||||
\(898\) | −39.8142 | + | 20.2864i | −1.32862 | + | 0.676965i | ||||
\(899\) | − | 7.63932i | − | 0.254786i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 1.45309i | − | 0.0484093i | ||||||
\(902\) | −6.11727 | − | 12.0058i | −0.203683 | − | 0.399750i | ||||
\(903\) | −9.06154 | + | 9.06154i | −0.301549 | + | 0.301549i | ||||
\(904\) | −11.0697 | − | 15.2361i | −0.368171 | − | 0.506744i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 45.1246 | + | 14.6619i | 1.49916 | + | 0.487108i | ||||
\(907\) | 23.3262 | − | 23.3262i | 0.774535 | − | 0.774535i | −0.204361 | − | 0.978896i | \(-0.565512\pi\) |
0.978896 | + | 0.204361i | \(0.0655115\pi\) | |||||||
\(908\) | 5.14056 | + | 32.4562i | 0.170595 | + | 1.07710i | ||||
\(909\) | −27.5276 | −0.913034 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 25.1765i | − | 0.834135i | −0.908876 | − | 0.417067i | \(-0.863058\pi\) | ||
0.908876 | − | 0.417067i | \(-0.136942\pi\) | |||||||
\(912\) | 16.3107 | + | 8.31073i | 0.540102 | + | 0.275196i | ||||
\(913\) | 5.41641 | + | 5.41641i | 0.179257 | + | 0.179257i | ||||
\(914\) | 41.1855 | + | 13.3820i | 1.36229 | + | 0.442636i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.1246 | + | 34.5811i | −0.830141 | + | 1.14259i | ||||
\(917\) | −0.343027 | − | 0.343027i | −0.0113277 | − | 0.0113277i | ||||
\(918\) | 3.11507 | − | 1.58721i | 0.102813 | − | 0.0523857i | ||||
\(919\) | −21.7153 | −0.716322 | −0.358161 | − | 0.933660i | \(-0.616596\pi\) | ||||
−0.358161 | + | 0.933660i | \(0.616596\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.2361 | −0.699752 | ||||||||
\(922\) | 8.18845 | − | 4.17223i | 0.269672 | − | 0.137405i | ||||
\(923\) | 21.7082 | + | 21.7082i | 0.714534 | + | 0.714534i | ||||
\(924\) | 7.60845 | + | 5.52786i | 0.250300 | + | 0.181853i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 32.8885 | + | 10.6861i | 1.08078 | + | 0.351168i | ||||
\(927\) | −16.3925 | − | 16.3925i | −0.538400 | − | 0.538400i | ||||
\(928\) | −5.81234 | + | 5.81234i | −0.190799 | + | 0.190799i | ||||
\(929\) | 5.34752i | 0.175447i | 0.996145 | + | 0.0877233i | \(0.0279591\pi\) | ||||
−0.996145 | + | 0.0877233i | \(0.972041\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.47214 | 0.277663 | ||||||||
\(932\) | −9.69977 | + | 1.53629i | −0.317727 | + | 0.0503230i | ||||
\(933\) | −13.2088 | + | 13.2088i | −0.432436 | + | 0.432436i | ||||
\(934\) | 5.08580 | + | 1.65248i | 0.166412 | + | 0.0540707i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −16.1803 | − | 22.2703i | −0.528871 | − | 0.727928i | ||||
\(937\) | −20.3050 | + | 20.3050i | −0.663334 | + | 0.663334i | −0.956164 | − | 0.292831i | \(-0.905403\pi\) |
0.292831 | + | 0.956164i | \(0.405403\pi\) | |||||||
\(938\) | −3.59564 | − | 7.05684i | −0.117402 | − | 0.230414i | ||||
\(939\) | 20.1803i | 0.658561i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 60.8676i | − | 1.98423i | −0.125340 | − | 0.992114i | \(-0.540002\pi\) | ||
0.125340 | − | 0.992114i | \(-0.459998\pi\) | |||||||
\(942\) | −39.9127 | + | 20.3365i | −1.30043 | + | 0.662600i | ||||
\(943\) | 20.2622 | − | 20.2622i | 0.659828 | − | 0.659828i | ||||
\(944\) | −32.2299 | + | 10.4721i | −1.04899 | + | 0.340839i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.81966 | − | 5.60034i | 0.0591623 | − | 0.182083i | ||||
\(947\) | 8.85410 | − | 8.85410i | 0.287720 | − | 0.287720i | −0.548458 | − | 0.836178i | \(-0.684785\pi\) |
0.836178 | + | 0.548458i | \(0.184785\pi\) | |||||||
\(948\) | 55.6463 | − | 8.81351i | 1.80731 | − | 0.286250i | ||||
\(949\) | −53.6022 | −1.74000 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 34.5811i | 1.12137i | ||||||||
\(952\) | 6.56816 | + | 1.04029i | 0.212875 | + | 0.0337161i | ||||
\(953\) | 6.81966 | + | 6.81966i | 0.220910 | + | 0.220910i | 0.808882 | − | 0.587971i | \(-0.200073\pi\) |
−0.587971 | + | 0.808882i | \(0.700073\pi\) | |||||||
\(954\) | −1.00406 | + | 3.09017i | −0.0325075 | + | 0.100048i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −34.4721 | + | 47.4468i | −1.11491 | + | 1.53454i | ||||
\(957\) | −2.90617 | − | 2.90617i | −0.0939431 | − | 0.0939431i | ||||
\(958\) | −4.88493 | − | 9.58721i | −0.157825 | − | 0.309749i | ||||
\(959\) | 8.16348 | 0.263613 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.36068 | 0.108409 | ||||||||
\(962\) | −12.1630 | − | 23.8712i | −0.392150 | − | 0.769638i | ||||
\(963\) | −27.0344 | − | 27.0344i | −0.871173 | − | 0.871173i | ||||
\(964\) | −7.95148 | + | 10.9443i | −0.256100 | + | 0.352491i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −6.18034 | + | 19.0211i | −0.198849 | + | 0.611995i | ||||
\(967\) | 12.0332 | + | 12.0332i | 0.386962 | + | 0.386962i | 0.873602 | − | 0.486640i | \(-0.161778\pi\) |
−0.486640 | + | 0.873602i | \(0.661778\pi\) | |||||||
\(968\) | 26.4614 | + | 4.19107i | 0.850502 | + | 0.134706i | ||||
\(969\) | 6.47214i | 0.207915i | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 33.5967 | 1.07817 | 0.539085 | − | 0.842251i | \(-0.318770\pi\) | ||||
0.539085 | + | 0.842251i | \(0.318770\pi\) | |||||||
\(972\) | −38.0434 | + | 6.02548i | −1.22024 | + | 0.193267i | ||||
\(973\) | 6.36737 | − | 6.36737i | 0.204128 | − | 0.204128i | ||||
\(974\) | −5.77185 | + | 17.7639i | −0.184942 | + | 0.569193i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −37.8885 | + | 12.3107i | −1.21278 | + | 0.394057i | ||||
\(977\) | 28.2361 | − | 28.2361i | 0.903352 | − | 0.903352i | −0.0923727 | − | 0.995725i | \(-0.529445\pi\) |
0.995725 | + | 0.0923727i | \(0.0294451\pi\) | |||||||
\(978\) | −29.1387 | + | 14.8469i | −0.931753 | + | 0.474752i | ||||
\(979\) | 8.00000i | 0.255681i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.0049i | 0.479070i | ||||||||
\(982\) | −6.91087 | − | 13.5633i | −0.220535 | − | 0.432824i | ||||
\(983\) | −0.620541 | + | 0.620541i | −0.0197922 | + | 0.0197922i | −0.716934 | − | 0.697141i | \(-0.754455\pi\) |
0.697141 | + | 0.716934i | \(0.254455\pi\) | |||||||
\(984\) | 29.3238 | + | 40.3607i | 0.934807 | + | 1.28665i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.76393 | − | 0.898056i | −0.0880215 | − | 0.0285999i | ||||
\(987\) | 27.8885 | − | 27.8885i | 0.887702 | − | 0.887702i | ||||
\(988\) | −17.1957 | + | 2.72353i | −0.547067 | + | 0.0866469i | ||||
\(989\) | 12.5227 | 0.398200 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.3642i | 0.615123i | 0.951528 | + | 0.307561i | \(0.0995129\pi\) | ||||
−0.951528 | + | 0.307561i | \(0.900487\pi\) | |||||||
\(992\) | 21.0292 | + | 21.0292i | 0.667679 | + | 0.667679i | ||||
\(993\) | 45.4164 | + | 45.4164i | 1.44125 | + | 1.44125i | ||||
\(994\) | 15.7719 | + | 5.12461i | 0.500255 | + | 0.162543i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −22.9443 | − | 16.6700i | −0.727017 | − | 0.528209i | ||||
\(997\) | −35.6506 | − | 35.6506i | −1.12907 | − | 1.12907i | −0.990329 | − | 0.138738i | \(-0.955696\pi\) |
−0.138738 | − | 0.990329i | \(-0.544304\pi\) | |||||||
\(998\) | −30.1013 | + | 15.3374i | −0.952841 | + | 0.485497i | ||||
\(999\) | −7.60845 | −0.240721 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))