Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 651.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.651 |
Dual form | 950.2.l.d.251.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.326352 | − | 1.85083i | 0.188419 | − | 1.06858i | −0.733064 | − | 0.680160i | \(-0.761910\pi\) |
0.921483 | − | 0.388419i | \(-0.126979\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.326352 | − | 1.85083i | −0.133233 | − | 0.755599i | ||||
\(7\) | 2.53209 | + | 4.38571i | 0.957040 | + | 1.65764i | 0.729630 | + | 0.683842i | \(0.239692\pi\) |
0.227410 | + | 0.973799i | \(0.426974\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.500000 | − | 0.181985i | −0.166667 | − | 0.0606617i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.705737 | − | 1.22237i | 0.212788 | − | 0.368559i | −0.739798 | − | 0.672829i | \(-0.765079\pi\) |
0.952586 | + | 0.304270i | \(0.0984124\pi\) | |||||||
\(12\) | −0.939693 | − | 1.62760i | −0.271266 | − | 0.469846i | ||||
\(13\) | 0.226682 | + | 1.28558i | 0.0628702 | + | 0.356554i | 0.999972 | + | 0.00749804i | \(0.00238672\pi\) |
−0.937102 | + | 0.349056i | \(0.886502\pi\) | |||||||
\(14\) | 3.87939 | + | 3.25519i | 1.03681 | + | 0.869986i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 2.24510 | − | 0.817150i | 0.544517 | − | 0.198188i | −0.0550919 | − | 0.998481i | \(-0.517545\pi\) |
0.599609 | + | 0.800293i | \(0.295323\pi\) | |||||||
\(18\) | −0.532089 | −0.125415 | ||||||||
\(19\) | 2.23396 | + | 3.74292i | 0.512505 | + | 0.858685i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 8.94356 | − | 3.25519i | 1.95165 | − | 0.710341i | ||||
\(22\) | 0.245100 | − | 1.39003i | 0.0522555 | − | 0.296356i | ||||
\(23\) | 2.34730 | − | 1.96962i | 0.489445 | − | 0.410693i | −0.364382 | − | 0.931249i | \(-0.618720\pi\) |
0.853827 | + | 0.520556i | \(0.174275\pi\) | |||||||
\(24\) | −1.43969 | − | 1.20805i | −0.293876 | − | 0.246591i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.652704 | + | 1.13052i | 0.128006 | + | 0.221712i | ||||
\(27\) | 2.31908 | − | 4.01676i | 0.446307 | − | 0.773026i | ||||
\(28\) | 4.75877 | + | 1.73205i | 0.899323 | + | 0.327327i | ||||
\(29\) | −7.94356 | − | 2.89122i | −1.47508 | − | 0.536886i | −0.525607 | − | 0.850727i | \(-0.676162\pi\) |
−0.949475 | + | 0.313841i | \(0.898384\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.184793 | − | 0.320070i | −0.0331897 | − | 0.0574863i | 0.848953 | − | 0.528468i | \(-0.177233\pi\) |
−0.882143 | + | 0.470981i | \(0.843900\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −2.03209 | − | 1.70513i | −0.353741 | − | 0.296824i | ||||
\(34\) | 1.83022 | − | 1.53574i | 0.313881 | − | 0.263377i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 0.181985i | −0.0833333 | + | 0.0303309i | ||||
\(37\) | −4.82295 | −0.792888 | −0.396444 | − | 0.918059i | \(-0.629756\pi\) | ||||
−0.396444 | + | 0.918059i | \(0.629756\pi\) | |||||||
\(38\) | 3.37939 | + | 2.75314i | 0.548209 | + | 0.446618i | ||||
\(39\) | 2.45336 | 0.392853 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.266044 | + | 1.50881i | −0.0415492 | + | 0.235637i | −0.998509 | − | 0.0545825i | \(-0.982617\pi\) |
0.956960 | + | 0.290220i | \(0.0937283\pi\) | |||||||
\(42\) | 7.29086 | − | 6.11776i | 1.12500 | − | 0.943990i | ||||
\(43\) | 0.581252 | + | 0.487728i | 0.0886401 | + | 0.0743779i | 0.686031 | − | 0.727572i | \(-0.259351\pi\) |
−0.597391 | + | 0.801950i | \(0.703796\pi\) | |||||||
\(44\) | −0.245100 | − | 1.39003i | −0.0369502 | − | 0.209555i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.53209 | − | 2.65366i | 0.225894 | − | 0.391260i | ||||
\(47\) | −9.59627 | − | 3.49276i | −1.39976 | − | 0.509471i | −0.471652 | − | 0.881785i | \(-0.656342\pi\) |
−0.928107 | + | 0.372314i | \(0.878565\pi\) | |||||||
\(48\) | −1.76604 | − | 0.642788i | −0.254907 | − | 0.0927784i | ||||
\(49\) | −9.32295 | + | 16.1478i | −1.33185 | + | 2.30683i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.779715 | − | 4.42198i | −0.109182 | − | 0.619202i | ||||
\(52\) | 1.00000 | + | 0.839100i | 0.138675 | + | 0.116362i | ||||
\(53\) | −1.28312 | + | 1.07666i | −0.176250 | + | 0.147891i | −0.726645 | − | 0.687013i | \(-0.758922\pi\) |
0.550395 | + | 0.834904i | \(0.314477\pi\) | |||||||
\(54\) | 0.805407 | − | 4.56769i | 0.109602 | − | 0.621584i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 5.06418 | 0.676729 | ||||||||
\(57\) | 7.65657 | − | 2.91317i | 1.01414 | − | 0.385859i | ||||
\(58\) | −8.45336 | −1.10998 | ||||||||
\(59\) | −0.673648 | + | 0.245188i | −0.0877015 | + | 0.0319207i | −0.385498 | − | 0.922709i | \(-0.625970\pi\) |
0.297797 | + | 0.954629i | \(0.403748\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.47565 | − | 6.27282i | 0.957159 | − | 0.803152i | −0.0233295 | − | 0.999728i | \(-0.507427\pi\) |
0.980489 | + | 0.196576i | \(0.0629822\pi\) | |||||||
\(62\) | −0.283119 | − | 0.237565i | −0.0359561 | − | 0.0301707i | ||||
\(63\) | −0.467911 | − | 2.65366i | −0.0589513 | − | 0.334329i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.49273 | − | 0.907278i | −0.306833 | − | 0.111678i | ||||
\(67\) | −1.31908 | − | 0.480105i | −0.161151 | − | 0.0586542i | 0.260185 | − | 0.965559i | \(-0.416216\pi\) |
−0.421336 | + | 0.906905i | \(0.638439\pi\) | |||||||
\(68\) | 1.19459 | − | 2.06910i | 0.144866 | − | 0.250915i | ||||
\(69\) | −2.87939 | − | 4.98724i | −0.346637 | − | 0.600393i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.87939 | − | 4.09429i | −0.579076 | − | 0.485903i | 0.305567 | − | 0.952171i | \(-0.401154\pi\) |
−0.884644 | + | 0.466268i | \(0.845598\pi\) | |||||||
\(72\) | −0.407604 | + | 0.342020i | −0.0480366 | + | 0.0403075i | ||||
\(73\) | 0.791737 | − | 4.49016i | 0.0926658 | − | 0.525534i | −0.902772 | − | 0.430120i | \(-0.858471\pi\) |
0.995438 | − | 0.0954141i | \(-0.0304175\pi\) | |||||||
\(74\) | −4.53209 | + | 1.64955i | −0.526845 | + | 0.191756i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.11721 | + | 1.43128i | 0.472277 | + | 0.164179i | ||||
\(77\) | 7.14796 | 0.814585 | ||||||||
\(78\) | 2.30541 | − | 0.839100i | 0.261036 | − | 0.0950093i | ||||
\(79\) | −0.389185 | + | 2.20718i | −0.0437868 | + | 0.248327i | −0.998843 | − | 0.0480989i | \(-0.984684\pi\) |
0.955056 | + | 0.296426i | \(0.0957948\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.90033 | − | 6.62916i | −0.877814 | − | 0.736574i | ||||
\(82\) | 0.266044 | + | 1.50881i | 0.0293797 | + | 0.166621i | ||||
\(83\) | −1.99273 | − | 3.45150i | −0.218730 | − | 0.378852i | 0.735690 | − | 0.677319i | \(-0.236858\pi\) |
−0.954420 | + | 0.298467i | \(0.903525\pi\) | |||||||
\(84\) | 4.75877 | − | 8.24243i | 0.519224 | − | 0.899323i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.713011 | + | 0.259515i | 0.0768860 | + | 0.0279842i | ||||
\(87\) | −7.94356 | + | 13.7587i | −0.851639 | + | 1.47508i | ||||
\(88\) | −0.705737 | − | 1.22237i | −0.0752318 | − | 0.130305i | ||||
\(89\) | −1.84864 | − | 10.4842i | −0.195956 | − | 1.11132i | −0.911051 | − | 0.412293i | \(-0.864728\pi\) |
0.715096 | − | 0.699026i | \(-0.246383\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.06418 | + | 4.24935i | −0.530870 | + | 0.445453i | ||||
\(92\) | 0.532089 | − | 3.01763i | 0.0554741 | − | 0.314609i | ||||
\(93\) | −0.652704 | + | 0.237565i | −0.0676822 | + | 0.0246343i | ||||
\(94\) | −10.2121 | −1.05330 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.87939 | −0.191814 | ||||||||
\(97\) | −1.43969 | + | 0.524005i | −0.146179 | + | 0.0532047i | −0.414073 | − | 0.910244i | \(-0.635894\pi\) |
0.267895 | + | 0.963448i | \(0.413672\pi\) | |||||||
\(98\) | −3.23783 | + | 18.3626i | −0.327070 | + | 1.85491i | ||||
\(99\) | −0.575322 | + | 0.482753i | −0.0578220 | + | 0.0485185i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.53209 | + | 8.68891i | 0.152449 | + | 0.864579i | 0.961081 | + | 0.276265i | \(0.0890968\pi\) |
−0.808633 | + | 0.588314i | \(0.799792\pi\) | |||||||
\(102\) | −2.24510 | − | 3.88863i | −0.222298 | − | 0.385031i | ||||
\(103\) | −3.57398 | + | 6.19031i | −0.352155 | + | 0.609950i | −0.986627 | − | 0.162996i | \(-0.947884\pi\) |
0.634472 | + | 0.772946i | \(0.281218\pi\) | |||||||
\(104\) | 1.22668 | + | 0.446476i | 0.120286 | + | 0.0437805i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.837496 | + | 1.45059i | −0.0813448 | + | 0.140893i | ||||
\(107\) | −4.68479 | − | 8.11430i | −0.452896 | − | 0.784439i | 0.545669 | − | 0.838001i | \(-0.316276\pi\) |
−0.998565 | + | 0.0535622i | \(0.982942\pi\) | |||||||
\(108\) | −0.805407 | − | 4.56769i | −0.0775004 | − | 0.439526i | ||||
\(109\) | 8.47565 | + | 7.11192i | 0.811820 | + | 0.681198i | 0.951041 | − | 0.309063i | \(-0.100015\pi\) |
−0.139221 | + | 0.990261i | \(0.544460\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.57398 | + | 8.92647i | −0.149395 | + | 0.847263i | ||||
\(112\) | 4.75877 | − | 1.73205i | 0.449662 | − | 0.163663i | ||||
\(113\) | 13.2986 | 1.25103 | 0.625514 | − | 0.780213i | \(-0.284890\pi\) | ||||
0.625514 | + | 0.780213i | \(0.284890\pi\) | |||||||
\(114\) | 6.19846 | − | 5.35619i | 0.580539 | − | 0.501653i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −7.94356 | + | 2.89122i | −0.737541 | + | 0.268443i | ||||
\(117\) | 0.120615 | − | 0.684040i | 0.0111508 | − | 0.0632395i | ||||
\(118\) | −0.549163 | + | 0.460802i | −0.0505546 | + | 0.0424203i | ||||
\(119\) | 9.26857 | + | 7.77725i | 0.849648 | + | 0.712940i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.50387 | + | 7.80093i | 0.409443 | + | 0.709176i | ||||
\(122\) | 4.87939 | − | 8.45134i | 0.441759 | − | 0.765149i | ||||
\(123\) | 2.70574 | + | 0.984808i | 0.243968 | + | 0.0887971i | ||||
\(124\) | −0.347296 | − | 0.126406i | −0.0311881 | − | 0.0113516i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.34730 | − | 2.33359i | −0.120027 | − | 0.207892i | ||||
\(127\) | 0.992259 | + | 5.62738i | 0.0880488 | + | 0.499349i | 0.996657 | + | 0.0816999i | \(0.0260349\pi\) |
−0.908608 | + | 0.417650i | \(0.862854\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 1.09240 | − | 0.916629i | 0.0961801 | − | 0.0807047i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.28359 | − | 3.37895i | 0.811111 | − | 0.295220i | 0.0970281 | − | 0.995282i | \(-0.469066\pi\) |
0.714083 | + | 0.700062i | \(0.246844\pi\) | |||||||
\(132\) | −2.65270 | −0.230888 | ||||||||
\(133\) | −10.7588 | + | 19.2749i | −0.932904 | + | 1.67134i | ||||
\(134\) | −1.40373 | −0.121264 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.414878 | − | 2.35289i | 0.0355755 | − | 0.201759i | ||||
\(137\) | −4.13429 | + | 3.46908i | −0.353216 | + | 0.296383i | −0.802080 | − | 0.597217i | \(-0.796273\pi\) |
0.448864 | + | 0.893600i | \(0.351829\pi\) | |||||||
\(138\) | −4.41147 | − | 3.70167i | −0.375530 | − | 0.315107i | ||||
\(139\) | −0.406260 | − | 2.30401i | −0.0344585 | − | 0.195424i | 0.962719 | − | 0.270503i | \(-0.0871901\pi\) |
−0.997178 | + | 0.0750794i | \(0.976079\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.59627 | + | 16.6212i | −0.808151 | + | 1.39976i | ||||
\(142\) | −5.98545 | − | 2.17853i | −0.502288 | − | 0.182818i | ||||
\(143\) | 1.73143 | + | 0.630189i | 0.144789 | + | 0.0526990i | ||||
\(144\) | −0.266044 | + | 0.460802i | −0.0221704 | + | 0.0384002i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.791737 | − | 4.49016i | −0.0655246 | − | 0.371608i | ||||
\(147\) | 26.8444 | + | 22.5251i | 2.21409 | + | 1.85784i | ||||
\(148\) | −3.69459 | + | 3.10013i | −0.303694 | + | 0.254829i | ||||
\(149\) | −2.49525 | + | 14.1513i | −0.204419 | + | 1.15932i | 0.693932 | + | 0.720040i | \(0.255877\pi\) |
−0.898351 | + | 0.439278i | \(0.855234\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.8384 | −1.69581 | −0.847904 | − | 0.530150i | \(-0.822135\pi\) | ||||
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(152\) | 4.35844 | − | 0.0632028i | 0.353516 | − | 0.00512642i | ||||
\(153\) | −1.27126 | −0.102775 | ||||||||
\(154\) | 6.71688 | − | 2.44474i | 0.541262 | − | 0.197003i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.87939 | − | 1.57699i | 0.150471 | − | 0.126260i | ||||
\(157\) | −4.87939 | − | 4.09429i | −0.389417 | − | 0.326760i | 0.426969 | − | 0.904266i | \(-0.359581\pi\) |
−0.816386 | + | 0.577506i | \(0.804026\pi\) | |||||||
\(158\) | 0.389185 | + | 2.20718i | 0.0309619 | + | 0.175594i | ||||
\(159\) | 1.57398 | + | 2.72621i | 0.124825 | + | 0.216202i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 14.5817 | + | 5.30731i | 1.14920 | + | 0.418275i | ||||
\(162\) | −9.69119 | − | 3.52730i | −0.761412 | − | 0.277131i | ||||
\(163\) | 2.36571 | − | 4.09754i | 0.185297 | − | 0.320944i | −0.758380 | − | 0.651813i | \(-0.774009\pi\) |
0.943677 | + | 0.330869i | \(0.107342\pi\) | |||||||
\(164\) | 0.766044 | + | 1.32683i | 0.0598180 | + | 0.103608i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.05303 | − | 2.56180i | −0.236961 | − | 0.198834i | ||||
\(167\) | −13.2344 | + | 11.1050i | −1.02411 | + | 0.859331i | −0.990138 | − | 0.140092i | \(-0.955260\pi\) |
−0.0339719 | + | 0.999423i | \(0.510816\pi\) | |||||||
\(168\) | 1.65270 | − | 9.37295i | 0.127509 | − | 0.723139i | ||||
\(169\) | 10.6147 | − | 3.86343i | 0.816514 | − | 0.297187i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.435822 | − | 2.27801i | −0.0333282 | − | 0.174203i | ||||
\(172\) | 0.758770 | 0.0578557 | ||||||||
\(173\) | 17.6878 | − | 6.43783i | 1.34478 | − | 0.489459i | 0.433463 | − | 0.901171i | \(-0.357291\pi\) |
0.911314 | + | 0.411712i | \(0.135069\pi\) | |||||||
\(174\) | −2.75877 | + | 15.6458i | −0.209142 | + | 1.18610i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.08125 | − | 0.907278i | −0.0815024 | − | 0.0683887i | ||||
\(177\) | 0.233956 | + | 1.32683i | 0.0175852 | + | 0.0997305i | ||||
\(178\) | −5.32295 | − | 9.21962i | −0.398972 | − | 0.691039i | ||||
\(179\) | 6.91400 | − | 11.9754i | 0.516777 | − | 0.895083i | −0.483034 | − | 0.875602i | \(-0.660465\pi\) |
0.999810 | − | 0.0194816i | \(-0.00620157\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.5175 | − | 4.19204i | −0.856092 | − | 0.311592i | −0.123570 | − | 0.992336i | \(-0.539434\pi\) |
−0.732522 | + | 0.680744i | \(0.761657\pi\) | |||||||
\(182\) | −3.30541 | + | 5.72513i | −0.245013 | + | 0.424375i | ||||
\(183\) | −9.17024 | − | 15.8833i | −0.677884 | − | 1.17413i | ||||
\(184\) | −0.532089 | − | 3.01763i | −0.0392261 | − | 0.222462i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.532089 | + | 0.446476i | −0.0390147 | + | 0.0327372i | ||||
\(187\) | 0.585589 | − | 3.32104i | 0.0428225 | − | 0.242859i | ||||
\(188\) | −9.59627 | + | 3.49276i | −0.699880 | + | 0.254735i | ||||
\(189\) | 23.4884 | 1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.0993 | −1.45433 | −0.727166 | − | 0.686462i | \(-0.759163\pi\) | ||||
−0.727166 | + | 0.686462i | \(0.759163\pi\) | |||||||
\(192\) | −1.76604 | + | 0.642788i | −0.127453 | + | 0.0463892i | ||||
\(193\) | −2.89734 | + | 16.4316i | −0.208555 | + | 1.18277i | 0.683192 | + | 0.730239i | \(0.260591\pi\) |
−0.891747 | + | 0.452535i | \(0.850520\pi\) | |||||||
\(194\) | −1.17365 | + | 0.984808i | −0.0842630 | + | 0.0707051i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.23783 | + | 18.3626i | 0.231273 | + | 1.31162i | ||||
\(197\) | 6.49525 | + | 11.2501i | 0.462768 | + | 0.801537i | 0.999098 | − | 0.0424714i | \(-0.0135231\pi\) |
−0.536330 | + | 0.844008i | \(0.680190\pi\) | |||||||
\(198\) | −0.375515 | + | 0.650411i | −0.0266867 | + | 0.0462227i | ||||
\(199\) | −16.1557 | − | 5.88019i | −1.14525 | − | 0.416836i | −0.301441 | − | 0.953485i | \(-0.597468\pi\) |
−0.843806 | + | 0.536649i | \(0.819690\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.31908 | + | 2.28471i | −0.0930406 | + | 0.161151i | ||||
\(202\) | 4.41147 | + | 7.64090i | 0.310390 | + | 0.537612i | ||||
\(203\) | −7.43376 | − | 42.1590i | −0.521748 | − | 2.95898i | ||||
\(204\) | −3.43969 | − | 2.88624i | −0.240827 | − | 0.202078i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.24123 | + | 7.03936i | −0.0864806 | + | 0.490456i | ||||
\(207\) | −1.53209 | + | 0.557635i | −0.106488 | + | 0.0387583i | ||||
\(208\) | 1.30541 | 0.0905137 | ||||||||
\(209\) | 6.15183 | − | 0.0892091i | 0.425531 | − | 0.00617072i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.1373 | − | 5.50952i | 1.04209 | − | 0.379291i | 0.236420 | − | 0.971651i | \(-0.424026\pi\) |
0.805673 | + | 0.592360i | \(0.201804\pi\) | |||||||
\(212\) | −0.290859 | + | 1.64955i | −0.0199763 | + | 0.113291i | ||||
\(213\) | −9.17024 | + | 7.69475i | −0.628335 | + | 0.527236i | ||||
\(214\) | −7.17752 | − | 6.02265i | −0.490645 | − | 0.411700i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.31908 | − | 4.01676i | −0.157793 | − | 0.273306i | ||||
\(217\) | 0.935822 | − | 1.62089i | 0.0635278 | − | 0.110033i | ||||
\(218\) | 10.3969 | + | 3.78417i | 0.704169 | + | 0.256296i | ||||
\(219\) | −8.05216 | − | 2.93075i | −0.544114 | − | 0.198041i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.55943 | + | 2.70101i | 0.104899 | + | 0.181690i | ||||
\(222\) | 1.57398 | + | 8.92647i | 0.105638 | + | 0.599106i | ||||
\(223\) | −3.12836 | − | 2.62500i | −0.209490 | − | 0.175783i | 0.532005 | − | 0.846741i | \(-0.321439\pi\) |
−0.741495 | + | 0.670958i | \(0.765883\pi\) | |||||||
\(224\) | 3.87939 | − | 3.25519i | 0.259202 | − | 0.217497i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.4966 | − | 4.54839i | 0.831261 | − | 0.302554i | ||||
\(227\) | −13.6604 | −0.906676 | −0.453338 | − | 0.891339i | \(-0.649767\pi\) | ||||
−0.453338 | + | 0.891339i | \(0.649767\pi\) | |||||||
\(228\) | 3.99273 | − | 7.15317i | 0.264425 | − | 0.473730i | ||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.33275 | − | 13.2297i | 0.153484 | − | 0.870449i | ||||
\(232\) | −6.47565 | + | 5.43372i | −0.425147 | + | 0.356741i | ||||
\(233\) | 20.7160 | + | 17.3828i | 1.35715 | + | 1.13878i | 0.976851 | + | 0.213921i | \(0.0686236\pi\) |
0.380300 | + | 0.924863i | \(0.375821\pi\) | |||||||
\(234\) | −0.120615 | − | 0.684040i | −0.00788483 | − | 0.0447171i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.358441 | + | 0.620838i | −0.0233325 | + | 0.0404131i | ||||
\(237\) | 3.95811 | + | 1.44063i | 0.257107 | + | 0.0935793i | ||||
\(238\) | 11.3696 | + | 4.13819i | 0.736981 | + | 0.268239i | ||||
\(239\) | 0.142903 | − | 0.247516i | 0.00924366 | − | 0.0160105i | −0.861367 | − | 0.507984i | \(-0.830391\pi\) |
0.870610 | + | 0.491973i | \(0.163724\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.538485 | + | 3.05390i | 0.0346869 | + | 0.196719i | 0.997227 | − | 0.0744203i | \(-0.0237106\pi\) |
−0.962540 | + | 0.271139i | \(0.912600\pi\) | |||||||
\(242\) | 6.90033 | + | 5.79006i | 0.443570 | + | 0.372199i | ||||
\(243\) | −4.18866 | + | 3.51471i | −0.268703 | + | 0.225468i | ||||
\(244\) | 1.69459 | − | 9.61051i | 0.108485 | − | 0.615250i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 2.87939 | 0.183583 | ||||||||
\(247\) | −4.30541 | + | 3.72037i | −0.273947 | + | 0.236721i | ||||
\(248\) | −0.369585 | −0.0234687 | ||||||||
\(249\) | −7.03849 | + | 2.56180i | −0.446046 | + | 0.162347i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.69640 | + | 8.13625i | −0.612032 | + | 0.513555i | −0.895287 | − | 0.445489i | \(-0.853030\pi\) |
0.283256 | + | 0.959044i | \(0.408585\pi\) | |||||||
\(252\) | −2.06418 | − | 1.73205i | −0.130031 | − | 0.109109i | ||||
\(253\) | −0.751030 | − | 4.25930i | −0.0472168 | − | 0.267780i | ||||
\(254\) | 2.85710 | + | 4.94864i | 0.179270 | + | 0.310505i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −28.5599 | − | 10.3950i | −1.78152 | − | 0.648419i | −0.999689 | − | 0.0249253i | \(-0.992065\pi\) |
−0.781828 | − | 0.623494i | \(-0.785713\pi\) | |||||||
\(258\) | 0.713011 | − | 1.23497i | 0.0443901 | − | 0.0768860i | ||||
\(259\) | −12.2121 | − | 21.1520i | −0.758825 | − | 1.31432i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.44562 | + | 2.89122i | 0.213279 | + | 0.178962i | ||||
\(262\) | 7.56805 | − | 6.35035i | 0.467556 | − | 0.392326i | ||||
\(263\) | −3.80335 | + | 21.5699i | −0.234524 | + | 1.33005i | 0.609088 | + | 0.793102i | \(0.291535\pi\) |
−0.843613 | + | 0.536952i | \(0.819576\pi\) | |||||||
\(264\) | −2.49273 | + | 0.907278i | −0.153417 | + | 0.0558391i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.51754 | + | 21.7922i | −0.215674 | + | 1.33616i | ||||
\(267\) | −20.0077 | −1.22445 | ||||||||
\(268\) | −1.31908 | + | 0.480105i | −0.0805755 | + | 0.0293271i | ||||
\(269\) | −0.248970 | + | 1.41198i | −0.0151800 | + | 0.0860900i | −0.991457 | − | 0.130437i | \(-0.958362\pi\) |
0.976277 | + | 0.216527i | \(0.0694730\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.3892 | + | 10.3958i | 0.752589 | + | 0.631498i | 0.936186 | − | 0.351504i | \(-0.114330\pi\) |
−0.183597 | + | 0.983002i | \(0.558774\pi\) | |||||||
\(272\) | −0.414878 | − | 2.35289i | −0.0251557 | − | 0.142665i | ||||
\(273\) | 6.21213 | + | 10.7597i | 0.375975 | + | 0.651209i | ||||
\(274\) | −2.69846 | + | 4.67388i | −0.163020 | + | 0.282359i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −5.41147 | − | 1.96962i | −0.325732 | − | 0.118557i | ||||
\(277\) | 5.55438 | − | 9.62046i | 0.333730 | − | 0.578038i | −0.649510 | − | 0.760353i | \(-0.725026\pi\) |
0.983240 | + | 0.182315i | \(0.0583592\pi\) | |||||||
\(278\) | −1.16978 | − | 2.02611i | −0.0701586 | − | 0.121518i | ||||
\(279\) | 0.0341483 | + | 0.193665i | 0.00204440 | + | 0.0115944i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.25490 | − | 2.73119i | 0.194171 | − | 0.162929i | −0.540519 | − | 0.841332i | \(-0.681772\pi\) |
0.734690 | + | 0.678403i | \(0.237328\pi\) | |||||||
\(282\) | −3.33275 | + | 18.9010i | −0.198462 | + | 1.12554i | ||||
\(283\) | −5.12701 | + | 1.86608i | −0.304769 | + | 0.110927i | −0.489878 | − | 0.871791i | \(-0.662959\pi\) |
0.185108 | + | 0.982718i | \(0.440736\pi\) | |||||||
\(284\) | −6.36959 | −0.377965 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.84255 | 0.108952 | ||||||||
\(287\) | −7.29086 | + | 2.65366i | −0.430366 | + | 0.156640i | ||||
\(288\) | −0.0923963 | + | 0.524005i | −0.00544450 | + | 0.0308773i | ||||
\(289\) | −8.65002 | + | 7.25822i | −0.508824 | + | 0.426954i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.500000 | + | 2.83564i | 0.0293105 | + | 0.166228i | ||||
\(292\) | −2.27972 | − | 3.94858i | −0.133410 | − | 0.231073i | ||||
\(293\) | 8.90673 | − | 15.4269i | 0.520337 | − | 0.901249i | −0.479384 | − | 0.877605i | \(-0.659140\pi\) |
0.999720 | − | 0.0236440i | \(-0.00752682\pi\) | |||||||
\(294\) | 32.9295 | + | 11.9854i | 1.92049 | + | 0.699000i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.41147 | + | 4.17680i | −0.140164 | + | 0.242771i | ||||
\(297\) | −3.27332 | − | 5.66955i | −0.189937 | − | 0.328981i | ||||
\(298\) | 2.49525 | + | 14.1513i | 0.144546 | + | 0.819762i | ||||
\(299\) | 3.06418 | + | 2.57115i | 0.177206 | + | 0.148693i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.667252 | + | 3.78417i | −0.0384597 | + | 0.218116i | ||||
\(302\) | −19.5817 | + | 7.12716i | −1.12680 | + | 0.410122i | ||||
\(303\) | 16.5817 | 0.952595 | ||||||||
\(304\) | 4.07398 | − | 1.55007i | 0.233659 | − | 0.0889024i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.19459 | + | 0.434796i | −0.0682903 | + | 0.0248556i | ||||
\(307\) | 4.97653 | − | 28.2233i | 0.284026 | − | 1.61079i | −0.424720 | − | 0.905325i | \(-0.639627\pi\) |
0.708746 | − | 0.705464i | \(-0.249261\pi\) | |||||||
\(308\) | 5.47565 | − | 4.59462i | 0.312004 | − | 0.261803i | ||||
\(309\) | 10.2909 | + | 8.63506i | 0.585427 | + | 0.491231i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.90673 | − | 13.6949i | −0.448349 | − | 0.776564i | 0.549929 | − | 0.835211i | \(-0.314655\pi\) |
−0.998279 | + | 0.0586473i | \(0.981321\pi\) | |||||||
\(312\) | 1.22668 | − | 2.12467i | 0.0694472 | − | 0.120286i | ||||
\(313\) | 12.3478 | + | 4.49422i | 0.697937 | + | 0.254028i | 0.666530 | − | 0.745478i | \(-0.267779\pi\) |
0.0314071 | + | 0.999507i | \(0.490001\pi\) | |||||||
\(314\) | −5.98545 | − | 2.17853i | −0.337779 | − | 0.122941i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.12061 | + | 1.94096i | 0.0630395 | + | 0.109188i | ||||
\(317\) | 3.71688 | + | 21.0795i | 0.208761 | + | 1.18394i | 0.891411 | + | 0.453196i | \(0.149716\pi\) |
−0.682650 | + | 0.730746i | \(0.739173\pi\) | |||||||
\(318\) | 2.41147 | + | 2.02347i | 0.135229 | + | 0.113470i | ||||
\(319\) | −9.14022 | + | 7.66955i | −0.511754 | + | 0.429412i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −16.5471 | + | 6.02265i | −0.923569 | + | 0.336152i | ||||
\(322\) | 15.5175 | 0.864759 | ||||||||
\(323\) | 8.07398 | + | 6.57775i | 0.449248 | + | 0.365996i | ||||
\(324\) | −10.3131 | −0.572953 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.821604 | − | 4.65955i | 0.0455044 | − | 0.258069i | ||||
\(327\) | 15.9290 | − | 13.3660i | 0.880877 | − | 0.739143i | ||||
\(328\) | 1.17365 | + | 0.984808i | 0.0648039 | + | 0.0543769i | ||||
\(329\) | −8.98040 | − | 50.9304i | −0.495105 | − | 2.80788i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.6989 | − | 21.9952i | 0.697996 | − | 1.20897i | −0.271164 | − | 0.962533i | \(-0.587409\pi\) |
0.969160 | − | 0.246432i | \(-0.0792582\pi\) | |||||||
\(332\) | −3.74510 | − | 1.36310i | −0.205539 | − | 0.0748101i | ||||
\(333\) | 2.41147 | + | 0.877705i | 0.132148 | + | 0.0480979i | ||||
\(334\) | −8.63816 | + | 14.9617i | −0.472659 | + | 0.818669i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.65270 | − | 9.37295i | −0.0901624 | − | 0.511336i | ||||
\(337\) | −20.2062 | − | 16.9550i | −1.10070 | − | 0.923599i | −0.103230 | − | 0.994658i | \(-0.532918\pi\) |
−0.997472 | + | 0.0710588i | \(0.977362\pi\) | |||||||
\(338\) | 8.65317 | − | 7.26087i | 0.470670 | − | 0.394939i | ||||
\(339\) | 4.34002 | − | 24.6135i | 0.235718 | − | 1.33682i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.521660 | −0.0282495 | ||||||||
\(342\) | −1.18866 | − | 1.99157i | −0.0642755 | − | 0.107692i | ||||
\(343\) | −58.9769 | −3.18445 | ||||||||
\(344\) | 0.713011 | − | 0.259515i | 0.0384430 | − | 0.0139921i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.4192 | − | 12.0992i | 0.775182 | − | 0.650455i | ||||
\(347\) | 19.6348 | + | 16.4755i | 1.05405 | + | 0.884452i | 0.993514 | − | 0.113714i | \(-0.0362748\pi\) |
0.0605352 | + | 0.998166i | \(0.480719\pi\) | |||||||
\(348\) | 2.75877 | + | 15.6458i | 0.147886 | + | 0.838701i | ||||
\(349\) | 2.92127 | + | 5.05980i | 0.156372 | + | 0.270845i | 0.933558 | − | 0.358427i | \(-0.116687\pi\) |
−0.777186 | + | 0.629271i | \(0.783353\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.68954 | + | 2.07082i | 0.303685 | + | 0.110532i | ||||
\(352\) | −1.32635 | − | 0.482753i | −0.0706948 | − | 0.0257308i | ||||
\(353\) | −11.2049 | + | 19.4074i | −0.596375 | + | 1.03295i | 0.396977 | + | 0.917829i | \(0.370059\pi\) |
−0.993351 | + | 0.115122i | \(0.963274\pi\) | |||||||
\(354\) | 0.673648 | + | 1.16679i | 0.0358040 | + | 0.0620143i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.15523 | − | 6.84305i | −0.432226 | − | 0.362681i | ||||
\(357\) | 17.4192 | − | 14.6165i | 0.921923 | − | 0.773585i | ||||
\(358\) | 2.40121 | − | 13.6179i | 0.126908 | − | 0.719730i | ||||
\(359\) | −9.03684 | + | 3.28914i | −0.476946 | + | 0.173594i | −0.569296 | − | 0.822132i | \(-0.692784\pi\) |
0.0923503 | + | 0.995727i | \(0.470562\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.01889 | + | 16.7230i | −0.474678 | + | 0.880159i | ||||
\(362\) | −12.2567 | −0.644198 | ||||||||
\(363\) | 15.9081 | − | 5.79006i | 0.834957 | − | 0.303900i | ||||
\(364\) | −1.14796 | + | 6.51038i | −0.0601692 | + | 0.341237i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −14.0496 | − | 11.7890i | −0.734386 | − | 0.616223i | ||||
\(367\) | −4.05644 | − | 23.0052i | −0.211744 | − | 1.20086i | −0.886468 | − | 0.462791i | \(-0.846848\pi\) |
0.674723 | − | 0.738071i | \(-0.264263\pi\) | |||||||
\(368\) | −1.53209 | − | 2.65366i | −0.0798657 | − | 0.138331i | ||||
\(369\) | 0.407604 | − | 0.705990i | 0.0212190 | − | 0.0367524i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.97090 | − | 2.90117i | −0.413829 | − | 0.150621i | ||||
\(372\) | −0.347296 | + | 0.601535i | −0.0180065 | + | 0.0311881i | ||||
\(373\) | −12.9709 | − | 22.4663i | −0.671608 | − | 1.16326i | −0.977448 | − | 0.211176i | \(-0.932271\pi\) |
0.305840 | − | 0.952083i | \(-0.401063\pi\) | |||||||
\(374\) | −0.585589 | − | 3.32104i | −0.0302801 | − | 0.171727i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.82295 | + | 6.56423i | −0.403438 | + | 0.338524i | ||||
\(377\) | 1.91622 | − | 10.8674i | 0.0986904 | − | 0.559701i | ||||
\(378\) | 22.0719 | − | 8.03352i | 1.13526 | − | 0.413200i | ||||
\(379\) | 9.47834 | 0.486870 | 0.243435 | − | 0.969917i | \(-0.421726\pi\) | ||||
0.243435 | + | 0.969917i | \(0.421726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | −18.8871 | + | 6.87435i | −0.966349 | + | 0.351722i | ||||
\(383\) | 2.34224 | − | 13.2835i | 0.119683 | − | 0.678756i | −0.864641 | − | 0.502390i | \(-0.832454\pi\) |
0.984324 | − | 0.176367i | \(-0.0564345\pi\) | |||||||
\(384\) | −1.43969 | + | 1.20805i | −0.0734690 | + | 0.0616478i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.89734 | + | 16.4316i | 0.147471 | + | 0.836347i | ||||
\(387\) | −0.201867 | − | 0.349643i | −0.0102615 | − | 0.0177734i | ||||
\(388\) | −0.766044 | + | 1.32683i | −0.0388900 | + | 0.0673595i | ||||
\(389\) | 23.6313 | + | 8.60111i | 1.19816 | + | 0.436093i | 0.862581 | − | 0.505920i | \(-0.168847\pi\) |
0.335576 | + | 0.942013i | \(0.391069\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.66044 | − | 6.34008i | 0.185117 | − | 0.320631i | ||||
\(392\) | 9.32295 | + | 16.1478i | 0.470880 | + | 0.815588i | ||||
\(393\) | −3.22416 | − | 18.2851i | −0.162637 | − | 0.922361i | ||||
\(394\) | 9.95130 | + | 8.35014i | 0.501339 | + | 0.420674i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.130415 | + | 0.739620i | −0.00655360 | + | 0.0371673i | ||||
\(397\) | 6.17024 | − | 2.24579i | 0.309676 | − | 0.112713i | −0.182507 | − | 0.983205i | \(-0.558421\pi\) |
0.492183 | + | 0.870492i | \(0.336199\pi\) | |||||||
\(398\) | −17.1925 | −0.861784 | ||||||||
\(399\) | 32.1634 | + | 26.2031i | 1.61019 | + | 1.31179i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.7310 | − | 10.0933i | 1.38482 | − | 0.504034i | 0.461185 | − | 0.887304i | \(-0.347425\pi\) |
0.923636 | + | 0.383270i | \(0.125202\pi\) | |||||||
\(402\) | −0.458111 | + | 2.59808i | −0.0228485 | + | 0.129580i | ||||
\(403\) | 0.369585 | − | 0.310119i | 0.0184103 | − | 0.0154481i | ||||
\(404\) | 6.75877 | + | 5.67128i | 0.336261 | + | 0.282157i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.4047 | − | 37.0740i | −1.06230 | − | 1.83995i | ||||
\(407\) | −3.40373 | + | 5.89544i | −0.168717 | + | 0.292226i | ||||
\(408\) | −4.21941 | − | 1.53574i | −0.208892 | − | 0.0760304i | ||||
\(409\) | −19.8567 | − | 7.22724i | −0.981850 | − | 0.357364i | −0.199291 | − | 0.979940i | \(-0.563864\pi\) |
−0.782559 | + | 0.622576i | \(0.786086\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.07145 | + | 8.78401i | 0.250156 | + | 0.433283i | ||||
\(412\) | 1.24123 | + | 7.03936i | 0.0611510 | + | 0.346804i | ||||
\(413\) | −2.78106 | − | 2.33359i | −0.136847 | − | 0.114828i | ||||
\(414\) | −1.24897 | + | 1.04801i | −0.0613835 | + | 0.0515069i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.22668 | − | 0.446476i | 0.0601430 | − | 0.0218903i | ||||
\(417\) | −4.39693 | −0.215318 | ||||||||
\(418\) | 5.75031 | − | 2.18788i | 0.281257 | − | 0.107013i | ||||
\(419\) | −27.8830 | −1.36217 | −0.681087 | − | 0.732202i | \(-0.738492\pi\) | ||||
−0.681087 | + | 0.732202i | \(0.738492\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.00774079 | + | 0.0439002i | −0.000377263 | + | 0.00213956i | −0.984996 | − | 0.172578i | \(-0.944790\pi\) |
0.984619 | + | 0.174718i | \(0.0559013\pi\) | |||||||
\(422\) | 12.3400 | − | 10.3545i | 0.600703 | − | 0.504050i | ||||
\(423\) | 4.16250 | + | 3.49276i | 0.202388 | + | 0.169824i | ||||
\(424\) | 0.290859 | + | 1.64955i | 0.0141254 | + | 0.0801090i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −5.98545 | + | 10.3671i | −0.289996 | + | 0.502288i | ||||
\(427\) | 46.4397 | + | 16.9027i | 2.24738 | + | 0.817978i | ||||
\(428\) | −8.80453 | − | 3.20459i | −0.425583 | − | 0.154900i | ||||
\(429\) | 1.73143 | − | 2.99892i | 0.0835942 | − | 0.144789i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.04694 | − | 11.6088i | −0.0985977 | − | 0.559175i | −0.993585 | − | 0.113084i | \(-0.963927\pi\) |
0.894988 | − | 0.446091i | \(-0.147184\pi\) | |||||||
\(432\) | −3.55303 | − | 2.98135i | −0.170945 | − | 0.143440i | ||||
\(433\) | −21.1780 | + | 17.7704i | −1.01775 | + | 0.853993i | −0.989343 | − | 0.145604i | \(-0.953488\pi\) |
−0.0284060 | + | 0.999596i | \(0.509043\pi\) | |||||||
\(434\) | 0.325008 | − | 1.84321i | 0.0156009 | − | 0.0884769i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.0642 | 0.529878 | ||||||||
\(437\) | 12.6159 | + | 4.38571i | 0.603499 | + | 0.209797i | ||||
\(438\) | −8.56893 | −0.409439 | ||||||||
\(439\) | −35.1908 | + | 12.8084i | −1.67956 | + | 0.611311i | −0.993250 | − | 0.115994i | \(-0.962995\pi\) |
−0.686314 | + | 0.727305i | \(0.740773\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.60014 | − | 6.37727i | 0.361911 | − | 0.303680i | ||||
\(442\) | 2.38919 | + | 2.00476i | 0.113642 | + | 0.0953569i | ||||
\(443\) | −3.64455 | − | 20.6693i | −0.173158 | − | 0.982027i | −0.940249 | − | 0.340489i | \(-0.889408\pi\) |
0.767091 | − | 0.641539i | \(-0.221704\pi\) | |||||||
\(444\) | 4.53209 | + | 7.84981i | 0.215083 | + | 0.372535i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −3.83750 | − | 1.39673i | −0.181711 | − | 0.0661373i | ||||
\(447\) | 25.3773 | + | 9.23659i | 1.20031 | + | 0.436876i | ||||
\(448\) | 2.53209 | − | 4.38571i | 0.119630 | − | 0.207205i | ||||
\(449\) | 10.9474 | + | 18.9615i | 0.516641 | + | 0.894849i | 0.999813 | + | 0.0193235i | \(0.00615126\pi\) |
−0.483172 | + | 0.875525i | \(0.660515\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.65657 | + | 1.39003i | 0.0780050 | + | 0.0654540i | ||||
\(452\) | 10.1873 | − | 8.54818i | 0.479171 | − | 0.402072i | ||||
\(453\) | −6.80066 | + | 38.5685i | −0.319523 | + | 1.81210i | ||||
\(454\) | −12.8366 | + | 4.67215i | −0.602452 | + | 0.219275i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.30541 | − | 8.08737i | 0.0611313 | − | 0.378726i | ||||
\(457\) | 13.0496 | 0.610436 | 0.305218 | − | 0.952283i | \(-0.401271\pi\) | ||||
0.305218 | + | 0.952283i | \(0.401271\pi\) | |||||||
\(458\) | −4.90673 | + | 1.78590i | −0.229276 | + | 0.0834497i | ||||
\(459\) | 1.92427 | − | 10.9131i | 0.0898171 | − | 0.509378i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.37733 | + | 2.83391i | 0.157298 | + | 0.131988i | 0.718040 | − | 0.696002i | \(-0.245040\pi\) |
−0.560742 | + | 0.827991i | \(0.689484\pi\) | |||||||
\(462\) | −2.33275 | − | 13.2297i | −0.108529 | − | 0.615500i | ||||
\(463\) | 13.3327 | + | 23.0930i | 0.619625 | + | 1.07322i | 0.989554 | + | 0.144162i | \(0.0460488\pi\) |
−0.369929 | + | 0.929060i | \(0.620618\pi\) | |||||||
\(464\) | −4.22668 | + | 7.32083i | −0.196219 | + | 0.339861i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 25.4119 | + | 9.24919i | 1.17719 | + | 0.428460i | ||||
\(467\) | 15.0569 | − | 26.0793i | 0.696750 | − | 1.20681i | −0.272837 | − | 0.962060i | \(-0.587962\pi\) |
0.969587 | − | 0.244747i | \(-0.0787048\pi\) | |||||||
\(468\) | −0.347296 | − | 0.601535i | −0.0160538 | − | 0.0278060i | ||||
\(469\) | −1.23442 | − | 7.00076i | −0.0570003 | − | 0.323265i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.17024 | + | 7.69475i | −0.422543 | + | 0.354555i | ||||
\(472\) | −0.124485 | + | 0.705990i | −0.00572989 | + | 0.0324958i | ||||
\(473\) | 1.00640 | − | 0.366298i | 0.0462742 | − | 0.0168424i | ||||
\(474\) | 4.21213 | 0.193470 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0993 | 0.554569 | ||||||||
\(477\) | 0.837496 | − | 0.304824i | 0.0383463 | − | 0.0139569i | ||||
\(478\) | 0.0496299 | − | 0.281465i | 0.00227002 | − | 0.0128739i | ||||
\(479\) | 6.25671 | − | 5.25000i | 0.285876 | − | 0.239879i | −0.488560 | − | 0.872530i | \(-0.662478\pi\) |
0.774437 | + | 0.632651i | \(0.218033\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.09327 | − | 6.20026i | −0.0498490 | − | 0.282708i | ||||
\(482\) | 1.55051 | + | 2.68556i | 0.0706237 | + | 0.122324i | ||||
\(483\) | 14.5817 | − | 25.2563i | 0.663491 | − | 1.14920i | ||||
\(484\) | 8.46451 | + | 3.08083i | 0.384750 | + | 0.140038i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −2.73396 | + | 4.73535i | −0.124015 | + | 0.214800i | ||||
\(487\) | 13.2935 | + | 23.0251i | 0.602388 | + | 1.04337i | 0.992458 | + | 0.122582i | \(0.0391174\pi\) |
−0.390070 | + | 0.920785i | \(0.627549\pi\) | |||||||
\(488\) | −1.69459 | − | 9.61051i | −0.0767106 | − | 0.435047i | ||||
\(489\) | −6.81180 | − | 5.71578i | −0.308040 | − | 0.258477i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.74257 | − | 38.2390i | 0.304288 | − | 1.72570i | −0.322549 | − | 0.946553i | \(-0.604540\pi\) |
0.626837 | − | 0.779151i | \(-0.284349\pi\) | |||||||
\(492\) | 2.70574 | − | 0.984808i | 0.121984 | − | 0.0443986i | ||||
\(493\) | −20.1967 | −0.909611 | ||||||||
\(494\) | −2.77332 | + | 4.96854i | −0.124777 | + | 0.223545i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.347296 | + | 0.126406i | −0.0155941 | + | 0.00567578i | ||||
\(497\) | 5.60132 | − | 31.7667i | 0.251253 | − | 1.42493i | ||||
\(498\) | −5.73783 | + | 4.81461i | −0.257118 | + | 0.215748i | ||||
\(499\) | 15.8255 | + | 13.2791i | 0.708446 | + | 0.594456i | 0.924163 | − | 0.382000i | \(-0.124764\pi\) |
−0.215717 | + | 0.976456i | \(0.569209\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 16.2344 | + | 28.1188i | 0.725301 | + | 1.25626i | ||||
\(502\) | −6.32888 | + | 10.9619i | −0.282472 | + | 0.489255i | ||||
\(503\) | 0.0692302 | + | 0.0251977i | 0.00308682 | + | 0.00112351i | 0.343563 | − | 0.939130i | \(-0.388366\pi\) |
−0.340476 | + | 0.940253i | \(0.610588\pi\) | |||||||
\(504\) | −2.53209 | − | 0.921605i | −0.112788 | − | 0.0410515i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.16250 | − | 3.74557i | −0.0961350 | − | 0.166511i | ||||
\(507\) | −3.68644 | − | 20.9068i | −0.163721 | − | 0.928506i | ||||
\(508\) | 4.37733 | + | 3.67301i | 0.194212 | + | 0.162964i | ||||
\(509\) | 11.5057 | − | 9.65441i | 0.509980 | − | 0.427924i | −0.351142 | − | 0.936322i | \(-0.614207\pi\) |
0.861122 | + | 0.508398i | \(0.169762\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.6973 | − | 7.89716i | 0.959831 | − | 0.349350i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 20.2151 | − | 0.293144i | 0.892520 | − | 0.0129426i | ||||
\(514\) | −30.3928 | −1.34057 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.247626 | − | 1.40436i | 0.0109011 | − | 0.0618234i | ||||
\(517\) | −11.0419 | + | 9.26525i | −0.485622 | + | 0.407485i | ||||
\(518\) | −18.7101 | − | 15.6996i | −0.822073 | − | 0.689802i | ||||
\(519\) | −6.14290 | − | 34.8381i | −0.269644 | − | 1.52922i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.5856 | + | 39.1194i | −0.989493 | + | 1.71385i | −0.369533 | + | 0.929217i | \(0.620482\pi\) |
−0.619959 | + | 0.784634i | \(0.712851\pi\) | |||||||
\(522\) | 4.22668 | + | 1.53839i | 0.184997 | + | 0.0673333i | ||||
\(523\) | 0.157451 | + | 0.0573076i | 0.00688487 | + | 0.00250589i | 0.345460 | − | 0.938433i | \(-0.387723\pi\) |
−0.338575 | + | 0.940939i | \(0.609945\pi\) | |||||||
\(524\) | 4.93969 | − | 8.55580i | 0.215791 | − | 0.373762i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.80335 | + | 21.5699i | 0.165834 | + | 0.940490i | ||||
\(527\) | −0.676423 | − | 0.567586i | −0.0294654 | − | 0.0247244i | ||||
\(528\) | −2.03209 | + | 1.70513i | −0.0884353 | + | 0.0742060i | ||||
\(529\) | −2.36349 | + | 13.4040i | −0.102761 | + | 0.582784i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.381445 | 0.0165533 | ||||||||
\(532\) | 4.14796 | + | 21.6810i | 0.179837 | + | 0.939991i | ||||
\(533\) | −2.00000 | −0.0866296 | ||||||||
\(534\) | −18.8011 | + | 6.84305i | −0.813604 | + | 0.296128i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.07532 | + | 0.902302i | −0.0464468 | + | 0.0389735i | ||||
\(537\) | −19.9081 | − | 16.7049i | −0.859097 | − | 0.720868i | ||||
\(538\) | 0.248970 | + | 1.41198i | 0.0107339 | + | 0.0608748i | ||||
\(539\) | 13.1591 | + | 22.7922i | 0.566803 | + | 0.981731i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.921274 | + | 0.335316i | 0.0396087 | + | 0.0144164i | 0.361749 | − | 0.932276i | \(-0.382180\pi\) |
−0.322140 | + | 0.946692i | \(0.604402\pi\) | |||||||
\(542\) | 15.1976 | + | 5.53147i | 0.652792 | + | 0.237597i | ||||
\(543\) | −11.5175 | + | 19.9490i | −0.494265 | + | 0.856092i | ||||
\(544\) | −1.19459 | − | 2.06910i | −0.0512177 | − | 0.0887117i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 9.51754 | + | 7.98617i | 0.407313 | + | 0.341776i | ||||
\(547\) | −21.7592 | + | 18.2582i | −0.930358 | + | 0.780663i | −0.975882 | − | 0.218300i | \(-0.929949\pi\) |
0.0455238 | + | 0.998963i | \(0.485504\pi\) | |||||||
\(548\) | −0.937166 | + | 5.31493i | −0.0400338 | + | 0.227043i | ||||
\(549\) | −4.87939 | + | 1.77595i | −0.208247 | + | 0.0757957i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.92396 | − | 36.1910i | −0.294971 | − | 1.54179i | ||||
\(552\) | −5.75877 | −0.245110 | ||||||||
\(553\) | −10.6655 | + | 3.88192i | −0.453543 | + | 0.165076i | ||||
\(554\) | 1.92902 | − | 10.9400i | 0.0819560 | − | 0.464796i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.79220 | − | 1.50384i | −0.0760064 | − | 0.0637769i | ||||
\(557\) | −6.18748 | − | 35.0909i | −0.262172 | − | 1.48685i | −0.776969 | − | 0.629539i | \(-0.783244\pi\) |
0.514797 | − | 0.857312i | \(-0.327867\pi\) | |||||||
\(558\) | 0.0983261 | + | 0.170306i | 0.00416247 | + | 0.00720962i | ||||
\(559\) | −0.495252 | + | 0.857802i | −0.0209469 | + | 0.0362812i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.95558 | − | 2.16766i | −0.251445 | − | 0.0915185i | ||||
\(562\) | 2.12449 | − | 3.67972i | 0.0896160 | − | 0.155219i | ||||
\(563\) | 4.31386 | + | 7.47183i | 0.181808 | + | 0.314900i | 0.942496 | − | 0.334217i | \(-0.108472\pi\) |
−0.760688 | + | 0.649117i | \(0.775139\pi\) | |||||||
\(564\) | 3.33275 | + | 18.9010i | 0.140334 | + | 0.795874i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.17958 | + | 3.50708i | −0.175681 | + | 0.147414i | ||||
\(567\) | 9.06923 | − | 51.4342i | 0.380872 | − | 2.16003i | ||||
\(568\) | −5.98545 | + | 2.17853i | −0.251144 | + | 0.0914089i | ||||
\(569\) | 22.3310 | 0.936164 | 0.468082 | − | 0.883685i | \(-0.344945\pi\) | ||||
0.468082 | + | 0.883685i | \(0.344945\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.56448 | −0.400261 | −0.200131 | − | 0.979769i | \(-0.564137\pi\) | ||||
−0.200131 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(572\) | 1.73143 | − | 0.630189i | 0.0723947 | − | 0.0263495i | ||||
\(573\) | −6.55943 | + | 37.2004i | −0.274024 | + | 1.55407i | ||||
\(574\) | −5.94356 | + | 4.98724i | −0.248080 | + | 0.208163i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.0923963 | + | 0.524005i | 0.00384984 | + | 0.0218336i | ||||
\(577\) | 11.2378 | + | 19.4645i | 0.467837 | + | 0.810317i | 0.999325 | − | 0.0367489i | \(-0.0117002\pi\) |
−0.531488 | + | 0.847066i | \(0.678367\pi\) | |||||||
\(578\) | −5.64590 | + | 9.77898i | −0.234838 | + | 0.406752i | ||||
\(579\) | 29.4666 | + | 10.7250i | 1.22459 | + | 0.445715i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 10.0915 | − | 17.4790i | 0.418667 | − | 0.725152i | ||||
\(582\) | 1.43969 | + | 2.49362i | 0.0596772 | + | 0.103364i | ||||
\(583\) | 0.410540 | + | 2.32829i | 0.0170028 | + | 0.0964279i | ||||
\(584\) | −3.49273 | − | 2.93075i | −0.144530 | − | 0.121275i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.09327 | − | 17.5428i | 0.127782 | − | 0.724687i | ||||
\(587\) | 3.89780 | − | 1.41868i | 0.160880 | − | 0.0585554i | −0.260325 | − | 0.965521i | \(-0.583830\pi\) |
0.421205 | + | 0.906966i | \(0.361607\pi\) | |||||||
\(588\) | 35.0428 | 1.44514 | ||||||||
\(589\) | 0.785178 | − | 1.40669i | 0.0323527 | − | 0.0579615i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.9418 | − | 8.35014i | 0.943700 | − | 0.343479i | ||||
\(592\) | −0.837496 | + | 4.74968i | −0.0344209 | + | 0.195211i | ||||
\(593\) | −7.98024 | + | 6.69621i | −0.327709 | + | 0.274981i | −0.791766 | − | 0.610825i | \(-0.790838\pi\) |
0.464057 | + | 0.885806i | \(0.346393\pi\) | |||||||
\(594\) | −5.01501 | − | 4.20810i | −0.205769 | − | 0.172660i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.18479 | + | 12.4444i | 0.294301 | + | 0.509744i | ||||
\(597\) | −16.1557 | + | 27.9825i | −0.661209 | + | 1.14525i | ||||
\(598\) | 3.75877 | + | 1.36808i | 0.153708 | + | 0.0559450i | ||||
\(599\) | 37.2645 | + | 13.5632i | 1.52258 | + | 0.554175i | 0.961792 | − | 0.273781i | \(-0.0882744\pi\) |
0.560792 | + | 0.827957i | \(0.310497\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.9324 | − | 20.6676i | −0.486734 | − | 0.843047i | 0.513150 | − | 0.858299i | \(-0.328478\pi\) |
−0.999884 | + | 0.0152517i | \(0.995145\pi\) | |||||||
\(602\) | 0.667252 | + | 3.78417i | 0.0271951 | + | 0.154231i | ||||
\(603\) | 0.572167 | + | 0.480105i | 0.0233004 | + | 0.0195514i | ||||
\(604\) | −15.9632 | + | 13.3947i | −0.649532 | + | 0.545022i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 15.5817 | − | 5.67128i | 0.632964 | − | 0.230380i | ||||
\(607\) | 29.9317 | 1.21489 | 0.607445 | − | 0.794362i | \(-0.292194\pi\) | ||||
0.607445 | + | 0.794362i | \(0.292194\pi\) | |||||||
\(608\) | 3.29813 | − | 2.84997i | 0.133757 | − | 0.115581i | ||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.31490 | − | 13.1285i | 0.0936509 | − | 0.531121i | ||||
\(612\) | −0.973841 | + | 0.817150i | −0.0393652 | + | 0.0330313i | ||||
\(613\) | 27.2540 | + | 22.8688i | 1.10078 | + | 0.923664i | 0.997477 | − | 0.0709862i | \(-0.0226146\pi\) |
0.103302 | + | 0.994650i | \(0.467059\pi\) | |||||||
\(614\) | −4.97653 | − | 28.2233i | −0.200836 | − | 1.13900i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.57398 | − | 6.19031i | 0.144000 | − | 0.249415i | ||||
\(617\) | 11.3068 | + | 4.11532i | 0.455193 | + | 0.165677i | 0.559433 | − | 0.828876i | \(-0.311019\pi\) |
−0.104240 | + | 0.994552i | \(0.533241\pi\) | |||||||
\(618\) | 12.6236 | + | 4.59462i | 0.507796 | + | 0.184823i | ||||
\(619\) | 8.55644 | − | 14.8202i | 0.343912 | − | 0.595673i | −0.641243 | − | 0.767338i | \(-0.721581\pi\) |
0.985156 | + | 0.171664i | \(0.0549144\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.46791 | − | 13.9962i | −0.0990339 | − | 0.561649i | ||||
\(622\) | −12.1138 | − | 10.1647i | −0.485719 | − | 0.407567i | ||||
\(623\) | 41.2995 | − | 34.6544i | 1.65463 | − | 1.38840i | ||||
\(624\) | 0.426022 | − | 2.41609i | 0.0170545 | − | 0.0967211i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 13.1402 | 0.525189 | ||||||||
\(627\) | 1.84255 | − | 11.4151i | 0.0735843 | − | 0.455876i | ||||
\(628\) | −6.36959 | −0.254174 | ||||||||
\(629\) | −10.8280 | + | 3.94107i | −0.431741 | + | 0.157141i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.0496 | − | 11.7890i | 0.559307 | − | 0.469314i | −0.318771 | − | 0.947832i | \(-0.603270\pi\) |
0.878078 | + | 0.478517i | \(0.158826\pi\) | |||||||
\(632\) | 1.71688 | + | 1.44063i | 0.0682939 | + | 0.0573054i | ||||
\(633\) | −5.25712 | − | 29.8146i | −0.208952 | − | 1.18502i | ||||
\(634\) | 10.7023 | + | 18.5370i | 0.425044 | + | 0.736198i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 2.95811 | + | 1.07666i | 0.117297 | + | 0.0426925i | ||||
\(637\) | −22.8726 | − | 8.32494i | −0.906245 | − | 0.329846i | ||||
\(638\) | −5.96585 | + | 10.3332i | −0.236190 | + | 0.409094i | ||||
\(639\) | 1.69459 | + | 2.93512i | 0.0670371 | + | 0.116112i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −23.8837 | − | 20.0408i | −0.943350 | − | 0.791565i | 0.0348149 | − | 0.999394i | \(-0.488916\pi\) |
−0.978165 | + | 0.207829i | \(0.933360\pi\) | |||||||
\(642\) | −13.4893 | + | 11.3189i | −0.532381 | + | 0.446721i | ||||
\(643\) | 5.54798 | − | 31.4642i | 0.218791 | − | 1.24083i | −0.655414 | − | 0.755269i | \(-0.727506\pi\) |
0.874206 | − | 0.485556i | \(-0.161383\pi\) | |||||||
\(644\) | 14.5817 | − | 5.30731i | 0.574600 | − | 0.209137i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 9.83678 | + | 3.41960i | 0.387023 | + | 0.134542i | ||||
\(647\) | −2.99588 | −0.117780 | −0.0588901 | − | 0.998264i | \(-0.518756\pi\) | ||||
−0.0588901 | + | 0.998264i | \(0.518756\pi\) | |||||||
\(648\) | −9.69119 | + | 3.52730i | −0.380706 | + | 0.138566i | ||||
\(649\) | −0.175708 | + | 0.996487i | −0.00689713 | + | 0.0391155i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.69459 | − | 2.26103i | −0.105609 | − | 0.0886168i | ||||
\(652\) | −0.821604 | − | 4.65955i | −0.0321765 | − | 0.182482i | ||||
\(653\) | 0.467911 | + | 0.810446i | 0.0183108 | + | 0.0317152i | 0.875036 | − | 0.484059i | \(-0.160838\pi\) |
−0.856725 | + | 0.515774i | \(0.827505\pi\) | |||||||
\(654\) | 10.3969 | − | 18.0080i | 0.406552 | − | 0.704169i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.43969 | + | 0.524005i | 0.0562106 | + | 0.0204590i | ||||
\(657\) | −1.21301 | + | 2.10100i | −0.0473241 | + | 0.0819677i | ||||
\(658\) | −25.8580 | − | 44.7874i | −1.00805 | − | 1.74600i | ||||
\(659\) | −2.12495 | − | 12.0512i | −0.0827764 | − | 0.469448i | −0.997814 | − | 0.0660804i | \(-0.978951\pi\) |
0.915038 | − | 0.403368i | \(-0.132160\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.15839 | + | 7.68480i | −0.356220 | + | 0.298904i | −0.803282 | − | 0.595599i | \(-0.796915\pi\) |
0.447062 | + | 0.894503i | \(0.352470\pi\) | |||||||
\(662\) | 4.41029 | − | 25.0120i | 0.171411 | − | 0.972119i | ||||
\(663\) | 5.50805 | − | 2.00476i | 0.213915 | − | 0.0778586i | ||||
\(664\) | −3.98545 | −0.154666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.56624 | 0.0994397 | ||||||||
\(667\) | −24.3405 | + | 8.85921i | −0.942468 | + | 0.343030i | ||||
\(668\) | −3.00000 | + | 17.0138i | −0.116073 | + | 0.658285i | ||||
\(669\) | −5.87939 | + | 4.93339i | −0.227310 | + | 0.190736i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.39187 | − | 13.5650i | −0.0923373 | − | 0.523671i | ||||
\(672\) | −4.75877 | − | 8.24243i | −0.183574 | − | 0.317959i | ||||
\(673\) | 22.4317 | − | 38.8529i | 0.864679 | − | 1.49767i | −0.00268731 | − | 0.999996i | \(-0.500855\pi\) |
0.867366 | − | 0.497671i | \(-0.165811\pi\) | |||||||
\(674\) | −24.7866 | − | 9.02158i | −0.954743 | − | 0.347498i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.64796 | − | 9.78255i | 0.217229 | − | 0.376252i | ||||
\(677\) | 0.472964 | + | 0.819197i | 0.0181775 | + | 0.0314843i | 0.874971 | − | 0.484175i | \(-0.160880\pi\) |
−0.856794 | + | 0.515660i | \(0.827547\pi\) | |||||||
\(678\) | −4.34002 | − | 24.6135i | −0.166678 | − | 0.945275i | ||||
\(679\) | −5.94356 | − | 4.98724i | −0.228093 | − | 0.191393i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.45811 | + | 25.2832i | −0.170835 | + | 0.968854i | ||||
\(682\) | −0.490200 | + | 0.178418i | −0.0187707 | + | 0.00683198i | ||||
\(683\) | 5.92221 | 0.226607 | 0.113303 | − | 0.993560i | \(-0.463857\pi\) | ||||
0.113303 | + | 0.993560i | \(0.463857\pi\) | |||||||
\(684\) | −1.79813 | − | 1.46491i | −0.0687533 | − | 0.0560123i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −55.4201 | + | 20.1713i | −2.11595 | + | 0.770143i | ||||
\(687\) | −1.70409 | + | 9.66436i | −0.0650150 | + | 0.368718i | ||||
\(688\) | 0.581252 | − | 0.487728i | 0.0221600 | − | 0.0185945i | ||||
\(689\) | −1.67499 | − | 1.40549i | −0.0638121 | − | 0.0535447i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.103074 | − | 0.178529i | −0.00392111 | − | 0.00679156i | 0.864058 | − | 0.503392i | \(-0.167915\pi\) |
−0.867979 | + | 0.496600i | \(0.834581\pi\) | |||||||
\(692\) | 9.41147 | − | 16.3012i | 0.357771 | − | 0.619677i | ||||
\(693\) | −3.57398 | − | 1.30082i | −0.135764 | − | 0.0494141i | ||||
\(694\) | 24.0856 | + | 8.76644i | 0.914276 | + | 0.332769i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 7.94356 | + | 13.7587i | 0.301100 | + | 0.521520i | ||||
\(697\) | 0.635630 | + | 3.60483i | 0.0240762 | + | 0.136543i | ||||
\(698\) | 4.47565 | + | 3.75552i | 0.169406 | + | 0.142148i | ||||
\(699\) | 38.9334 | − | 32.6690i | 1.47259 | − | 1.23565i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.10607 | + | 1.49449i | −0.155084 | + | 0.0564460i | −0.418396 | − | 0.908265i | \(-0.637407\pi\) |
0.263312 | + | 0.964711i | \(0.415185\pi\) | |||||||
\(702\) | 6.05468 | 0.228519 | ||||||||
\(703\) | −10.7743 | − | 18.0519i | −0.406359 | − | 0.680840i | ||||
\(704\) | −1.41147 | −0.0531969 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.89141 | + | 22.0693i | −0.146455 | + | 0.830588i | ||||
\(707\) | −34.2276 | + | 28.7204i | −1.28726 | + | 1.08014i | ||||
\(708\) | 1.03209 | + | 0.866025i | 0.0387883 | + | 0.0325472i | ||||
\(709\) | 1.52023 | + | 8.62165i | 0.0570934 | + | 0.323793i | 0.999956 | − | 0.00938924i | \(-0.00298873\pi\) |
−0.942863 | + | 0.333182i | \(0.891878\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.596267 | − | 1.03276i | 0.0223617 | − | 0.0387317i | ||||
\(712\) | −10.0039 | − | 3.64111i | −0.374911 | − | 0.136456i | ||||
\(713\) | −1.06418 | − | 0.387329i | −0.0398538 | − | 0.0145056i | ||||
\(714\) | 11.3696 | − | 19.6927i | 0.425496 | − | 0.736981i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.40121 | − | 13.6179i | −0.0897373 | − | 0.508926i | ||||
\(717\) | −0.411474 | − | 0.345268i | −0.0153668 | − | 0.0128943i | ||||
\(718\) | −7.36690 | + | 6.18156i | −0.274930 | + | 0.230694i | ||||
\(719\) | −4.79385 | + | 27.1873i | −0.178781 | + | 1.01391i | 0.754909 | + | 0.655830i | \(0.227681\pi\) |
−0.933689 | + | 0.358085i | \(0.883430\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −36.1985 | −1.34810 | ||||||||
\(722\) | −2.75537 | + | 18.7991i | −0.102544 | + | 0.699632i | ||||
\(723\) | 5.82800 | 0.216746 | ||||||||
\(724\) | −11.5175 | + | 4.19204i | −0.428046 | + | 0.155796i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 12.9684 | − | 10.8818i | 0.481302 | − | 0.403860i | ||||
\(727\) | −21.9368 | − | 18.4071i | −0.813589 | − | 0.682682i | 0.137872 | − | 0.990450i | \(-0.455974\pi\) |
−0.951462 | + | 0.307768i | \(0.900418\pi\) | |||||||
\(728\) | 1.14796 | + | 6.51038i | 0.0425461 | + | 0.241291i | ||||
\(729\) | −10.3316 | − | 17.8948i | −0.382651 | − | 0.662770i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.70352 | + | 0.620029i | 0.0630068 | + | 0.0229326i | ||||
\(732\) | −17.2344 | − | 6.27282i | −0.637003 | − | 0.231850i | ||||
\(733\) | 18.4807 | − | 32.0095i | 0.682600 | − | 1.18230i | −0.291584 | − | 0.956545i | \(-0.594182\pi\) |
0.974184 | − | 0.225753i | \(-0.0724843\pi\) | |||||||
\(734\) | −11.6800 | − | 20.2304i | −0.431118 | − | 0.746719i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.34730 | − | 1.96962i | −0.0865225 | − | 0.0726010i | ||||
\(737\) | −1.51779 | + | 1.27358i | −0.0559085 | + | 0.0469128i | ||||
\(738\) | 0.141559 | − | 0.802823i | 0.00521087 | − | 0.0295523i | ||||
\(739\) | −43.2508 | + | 15.7420i | −1.59101 | + | 0.579079i | −0.977560 | − | 0.210658i | \(-0.932439\pi\) |
−0.613446 | + | 0.789737i | \(0.710217\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.48070 | + | 9.18274i | 0.201339 | + | 0.337336i | ||||
\(742\) | −8.48246 | −0.311401 | ||||||||
\(743\) | 24.8179 | − | 9.03298i | 0.910480 | − | 0.331388i | 0.156036 | − | 0.987751i | \(-0.450129\pi\) |
0.754445 | + | 0.656364i | \(0.227906\pi\) | |||||||
\(744\) | −0.120615 | + | 0.684040i | −0.00442195 | + | 0.0250781i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −19.8726 | − | 16.6751i | −0.727587 | − | 0.610518i | ||||
\(747\) | 0.368241 | + | 2.08840i | 0.0134732 | + | 0.0764105i | ||||
\(748\) | −1.68614 | − | 2.92047i | −0.0616513 | − | 0.106783i | ||||
\(749\) | 23.7246 | − | 41.0923i | 0.866879 | − | 1.50148i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.5381 | + | 9.29510i | 0.931898 | + | 0.339183i | 0.762961 | − | 0.646444i | \(-0.223745\pi\) |
0.168936 | + | 0.985627i | \(0.445967\pi\) | |||||||
\(752\) | −5.10607 | + | 8.84397i | −0.186199 | + | 0.322506i | ||||
\(753\) | 11.8944 | + | 20.6017i | 0.433456 | + | 0.750768i | ||||
\(754\) | −1.91622 | − | 10.8674i | −0.0697847 | − | 0.395769i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 17.9932 | − | 15.0981i | 0.654406 | − | 0.549112i | ||||
\(757\) | −3.36959 | + | 19.1099i | −0.122470 | + | 0.694560i | 0.860309 | + | 0.509773i | \(0.170271\pi\) |
−0.982779 | + | 0.184787i | \(0.940841\pi\) | |||||||
\(758\) | 8.90673 | − | 3.24178i | 0.323507 | − | 0.117747i | ||||
\(759\) | −8.12836 | −0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 10.0915 | − | 3.67301i | 0.365577 | − | 0.133059i | ||||
\(763\) | −9.72967 | + | 55.1797i | −0.352238 | + | 1.99764i | ||||
\(764\) | −15.3969 | + | 12.9196i | −0.557041 | + | 0.467413i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.34224 | − | 13.2835i | −0.0846287 | − | 0.479953i | ||||
\(767\) | −0.467911 | − | 0.810446i | −0.0168953 | − | 0.0292635i | ||||
\(768\) | −0.939693 | + | 1.62760i | −0.0339082 | + | 0.0587308i | ||||
\(769\) | 36.5933 | + | 13.3189i | 1.31959 | + | 0.480291i | 0.903327 | − | 0.428953i | \(-0.141117\pi\) |
0.416263 | + | 0.909244i | \(0.363340\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −28.5599 | + | 49.4672i | −1.02856 | + | 1.78152i | ||||
\(772\) | 8.34255 | + | 14.4497i | 0.300255 | + | 0.520057i | ||||
\(773\) | 1.17436 | + | 6.66015i | 0.0422389 | + | 0.239549i | 0.998616 | − | 0.0525847i | \(-0.0167460\pi\) |
−0.956378 | + | 0.292133i | \(0.905635\pi\) | |||||||
\(774\) | −0.309278 | − | 0.259515i | −0.0111168 | − | 0.00932807i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −0.266044 | + | 1.50881i | −0.00955044 | + | 0.0541632i | ||||
\(777\) | −43.1343 | + | 15.6996i | −1.54744 | + | 0.563221i | ||||
\(778\) | 25.1480 | 0.901598 | ||||||||
\(779\) | −6.24170 | + | 2.37484i | −0.223632 | + | 0.0850874i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.44831 | + | 3.07493i | −0.302304 | + | 0.110030i | ||||
\(782\) | 1.27126 | − | 7.20967i | 0.0454601 | − | 0.257817i | ||||
\(783\) | −30.0351 | + | 25.2024i | −1.07337 | + | 0.900661i | ||||
\(784\) | 14.2836 | + | 11.9854i | 0.510128 | + | 0.428048i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −9.28359 | − | 16.0796i | −0.331135 | − | 0.573542i | ||||
\(787\) | 2.90239 | − | 5.02709i | 0.103459 | − | 0.179196i | −0.809649 | − | 0.586915i | \(-0.800342\pi\) |
0.913108 | + | 0.407719i | \(0.133676\pi\) | |||||||
\(788\) | 12.2071 | + | 4.44301i | 0.434859 | + | 0.158276i | ||||
\(789\) | 38.6810 | + | 14.0787i | 1.37708 | + | 0.501216i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 33.6732 | + | 58.3238i | 1.19728 | + | 2.07375i | ||||
\(792\) | 0.130415 | + | 0.739620i | 0.00463409 | + | 0.0262812i | ||||
\(793\) | 9.75877 | + | 8.18858i | 0.346544 | + | 0.290785i | ||||
\(794\) | 5.03003 | − | 4.22070i | 0.178509 | − | 0.149787i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.1557 | + | 5.88019i | −0.572623 | + | 0.208418i | ||||
\(797\) | 39.2181 | 1.38918 | 0.694589 | − | 0.719407i | \(-0.255586\pi\) | ||||
0.694589 | + | 0.719407i | \(0.255586\pi\) | |||||||
\(798\) | 39.1857 | + | 13.6223i | 1.38716 | + | 0.482224i | ||||
\(799\) | −24.3987 | −0.863163 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.983641 | + | 5.57851i | −0.0347552 | + | 0.197107i | ||||
\(802\) | 22.6065 | − | 18.9691i | 0.798264 | − | 0.669823i | ||||
\(803\) | −4.92989 | − | 4.13667i | −0.173972 | − | 0.145980i | ||||
\(804\) | 0.458111 | + | 2.59808i | 0.0161563 | + | 0.0916271i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0.241230 | − | 0.417822i | 0.00849695 | − | 0.0147171i | ||||
\(807\) | 2.53209 | + | 0.921605i | 0.0891338 | + | 0.0324420i | ||||
\(808\) | 8.29086 | + | 3.01763i | 0.291671 | + | 0.106160i | ||||
\(809\) | −3.50134 | + | 6.06451i | −0.123101 | + | 0.213217i | −0.920989 | − | 0.389589i | \(-0.872617\pi\) |
0.797888 | + | 0.602805i | \(0.205950\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.58584 | + | 43.0214i | 0.266375 | + | 1.51069i | 0.765092 | + | 0.643921i | \(0.222694\pi\) |
−0.498717 | + | 0.866765i | \(0.666195\pi\) | |||||||
\(812\) | −32.7939 | − | 27.5173i | −1.15084 | − | 0.965668i | ||||
\(813\) | 23.2841 | − | 19.5376i | 0.816607 | − | 0.685215i | ||||
\(814\) | −1.18210 | + | 6.70405i | −0.0414327 | + | 0.234977i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −4.49020 | −0.157188 | ||||||||
\(817\) | −0.527036 | + | 3.26514i | −0.0184387 | + | 0.114233i | ||||
\(818\) | −21.1310 | −0.738830 | ||||||||
\(819\) | 3.30541 | − | 1.20307i | 0.115500 | − | 0.0420387i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 9.48751 | − | 7.96097i | 0.331116 | − | 0.277840i | −0.462038 | − | 0.886860i | \(-0.652882\pi\) |
0.793155 | + | 0.609020i | \(0.208437\pi\) | |||||||
\(822\) | 7.76991 | + | 6.51973i | 0.271007 | + | 0.227402i | ||||
\(823\) | 2.22762 | + | 12.6334i | 0.0776498 | + | 0.440374i | 0.998702 | + | 0.0509347i | \(0.0162200\pi\) |
−0.921052 | + | 0.389439i | \(0.872669\pi\) | |||||||
\(824\) | 3.57398 | + | 6.19031i | 0.124505 | + | 0.215650i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.41147 | − | 1.24168i | −0.118700 | − | 0.0432034i | ||||
\(827\) | 23.5831 | + | 8.58353i | 0.820063 | + | 0.298479i | 0.717774 | − | 0.696276i | \(-0.245161\pi\) |
0.102289 | + | 0.994755i | \(0.467383\pi\) | |||||||
\(828\) | −0.815207 | + | 1.41198i | −0.0283304 | + | 0.0490697i | ||||
\(829\) | −14.1634 | − | 24.5318i | −0.491917 | − | 0.852024i | 0.508040 | − | 0.861333i | \(-0.330370\pi\) |
−0.999957 | + | 0.00930899i | \(0.997037\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −15.9932 | − | 13.4199i | −0.554798 | − | 0.465531i | ||||
\(832\) | 1.00000 | − | 0.839100i | 0.0346688 | − | 0.0290905i | ||||
\(833\) | −7.73577 | + | 43.8717i | −0.268028 | + | 1.52006i | ||||
\(834\) | −4.13176 | + | 1.50384i | −0.143071 | + | 0.0520736i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 4.65523 | − | 4.02266i | 0.161004 | − | 0.139126i | ||||
\(837\) | −1.71419 | −0.0592512 | ||||||||
\(838\) | −26.2015 | + | 9.53655i | −0.905114 | + | 0.329435i | ||||
\(839\) | −5.26682 | + | 29.8696i | −0.181831 | + | 1.03121i | 0.748129 | + | 0.663553i | \(0.230952\pi\) |
−0.929960 | + | 0.367660i | \(0.880159\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.5257 | + | 27.2923i | 1.12158 | + | 0.941115i | ||||
\(842\) | 0.00774079 | + | 0.0439002i | 0.000266765 | + | 0.00151290i | ||||
\(843\) | −3.99273 | − | 6.91560i | −0.137517 | − | 0.238186i | ||||
\(844\) | 8.05438 | − | 13.9506i | 0.277243 | − | 0.480199i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 5.10607 | + | 1.85846i | 0.175550 | + | 0.0638950i | ||||
\(847\) | −22.8084 | + | 39.5053i | −0.783706 | + | 1.35742i | ||||
\(848\) | 0.837496 | + | 1.45059i | 0.0287597 | + | 0.0498133i | ||||
\(849\) | 1.78059 | + | 10.0982i | 0.0611098 | + | 0.346571i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.3209 | + | 9.49935i | −0.388075 | + | 0.325634i | ||||
\(852\) | −2.07873 | + | 11.7890i | −0.0712160 | + | 0.403886i | ||||
\(853\) | −41.0009 | + | 14.9231i | −1.40385 | + | 0.510958i | −0.929317 | − | 0.369283i | \(-0.879603\pi\) |
−0.474528 | + | 0.880240i | \(0.657381\pi\) | |||||||
\(854\) | 49.4201 | 1.69112 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.36959 | −0.320246 | ||||||||
\(857\) | −29.6095 | + | 10.7770i | −1.01144 | + | 0.368135i | −0.793987 | − | 0.607935i | \(-0.791998\pi\) |
−0.217456 | + | 0.976070i | \(0.569776\pi\) | |||||||
\(858\) | 0.601319 | − | 3.41025i | 0.0205287 | − | 0.116424i | ||||
\(859\) | −14.3234 | + | 12.0188i | −0.488709 | + | 0.410075i | −0.853563 | − | 0.520989i | \(-0.825563\pi\) |
0.364855 | + | 0.931065i | \(0.381119\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.53209 | + | 14.3602i | 0.0862934 | + | 0.489394i | ||||
\(862\) | −5.89393 | − | 10.2086i | −0.200748 | − | 0.347706i | ||||
\(863\) | 5.31315 | − | 9.20264i | 0.180862 | − | 0.313262i | −0.761313 | − | 0.648385i | \(-0.775445\pi\) |
0.942174 | + | 0.335123i | \(0.108778\pi\) | |||||||
\(864\) | −4.35844 | − | 1.58634i | −0.148277 | − | 0.0539685i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −13.8229 | + | 23.9420i | −0.469723 | + | 0.813584i | ||||
\(867\) | 10.6108 | + | 18.3785i | 0.360362 | + | 0.624166i | ||||
\(868\) | −0.325008 | − | 1.84321i | −0.0110315 | − | 0.0625626i | ||||
\(869\) | 2.42333 | + | 2.03342i | 0.0822060 | + | 0.0689790i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.318201 | − | 1.80460i | 0.0107818 | − | 0.0611467i | ||||
\(872\) | 10.3969 | − | 3.78417i | 0.352084 | − | 0.128148i | ||||
\(873\) | 0.815207 | 0.0275906 | ||||||||
\(874\) | 13.3550 | − | 0.193665i | 0.451741 | − | 0.00655080i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −8.05216 | + | 2.93075i | −0.272057 | + | 0.0990207i | ||||
\(877\) | −7.79654 | + | 44.2164i | −0.263270 | + | 1.49308i | 0.510645 | + | 0.859792i | \(0.329407\pi\) |
−0.773915 | + | 0.633289i | \(0.781704\pi\) | |||||||
\(878\) | −28.6878 | + | 24.0719i | −0.968166 | + | 0.812388i | ||||
\(879\) | −25.6459 | − | 21.5195i | −0.865015 | − | 0.725833i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.00821 | + | 15.6027i | 0.303494 | + | 0.525667i | 0.976925 | − | 0.213583i | \(-0.0685134\pi\) |
−0.673431 | + | 0.739250i | \(0.735180\pi\) | |||||||
\(882\) | 4.96064 | − | 8.59208i | 0.167033 | − | 0.289310i | ||||
\(883\) | −43.7879 | − | 15.9375i | −1.47358 | − | 0.536340i | −0.524511 | − | 0.851404i | \(-0.675752\pi\) |
−0.949070 | + | 0.315064i | \(0.897974\pi\) | |||||||
\(884\) | 2.93077 | + | 1.06671i | 0.0985725 | + | 0.0358774i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.4941 | − | 18.1763i | −0.352555 | − | 0.610643i | ||||
\(887\) | −1.22937 | − | 6.97210i | −0.0412782 | − | 0.234100i | 0.957188 | − | 0.289467i | \(-0.0934782\pi\) |
−0.998466 | + | 0.0553671i | \(0.982367\pi\) | |||||||
\(888\) | 6.94356 | + | 5.82634i | 0.233011 | + | 0.195519i | ||||
\(889\) | −22.1676 | + | 18.6008i | −0.743476 | + | 0.623850i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −13.6789 | + | 4.97870i | −0.458259 | + | 0.166793i | ||||
\(892\) | −4.08378 | −0.136735 | ||||||||
\(893\) | −8.36453 | − | 43.7207i | −0.279908 | − | 1.46306i | ||||
\(894\) | 27.0060 | 0.903215 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.879385 | − | 4.98724i | 0.0293782 | − | 0.166612i | ||||
\(897\) | 5.75877 | − | 4.83218i | 0.192280 | − | 0.161342i | ||||
\(898\) | 16.7724 | + | 14.0737i | 0.559704 | + | 0.469647i | ||||
\(899\) | 0.542518 | + | 3.07677i | 0.0180940 | + | 0.102616i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.00093 | + | 3.46572i | −0.0666608 | + | 0.115460i | ||||
\(902\) | 2.03209 | + | 0.739620i | 0.0676612 | + | 0.0246266i | ||||
\(903\) | 6.78611 | + | 2.46994i | 0.225828 | + | 0.0821945i | ||||
\(904\) | 6.64930 | − | 11.5169i | 0.221152 | − | 0.383047i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 6.80066 | + | 38.5685i | 0.225937 | + | 1.28135i | ||||
\(907\) | −11.5792 | − | 9.71610i | −0.384481 | − | 0.322618i | 0.429978 | − | 0.902840i | \(-0.358521\pi\) |
−0.814458 | + | 0.580222i | \(0.802966\pi\) | |||||||
\(908\) | −10.4645 | + | 8.78076i | −0.347277 | + | 0.291400i | ||||
\(909\) | 0.815207 | − | 4.62327i | 0.0270387 | − | 0.153344i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −12.8366 | −0.425294 | −0.212647 | − | 0.977129i | \(-0.568208\pi\) | ||||
−0.212647 | + | 0.977129i | \(0.568208\pi\) | |||||||
\(912\) | −1.53936 | − | 8.04612i | −0.0509734 | − | 0.266434i | ||||
\(913\) | −5.62536 | −0.186172 | ||||||||
\(914\) | 12.2626 | − | 4.46324i | 0.405612 | − | 0.147631i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.00000 | + | 3.35640i | −0.132164 | + | 0.110899i | ||||
\(917\) | 38.3259 | + | 32.1593i | 1.26563 | + | 1.06199i | ||||
\(918\) | −1.92427 | − | 10.9131i | −0.0635103 | − | 0.360185i | ||||
\(919\) | 10.3396 | + | 17.9086i | 0.341070 | + | 0.590751i | 0.984632 | − | 0.174643i | \(-0.0558772\pi\) |
−0.643561 | + | 0.765395i | \(0.722544\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −50.6125 | − | 18.4215i | −1.66774 | − | 0.607007i | ||||
\(922\) | 4.14290 | + | 1.50789i | 0.136439 | + | 0.0496598i | ||||
\(923\) | 4.15745 | − | 7.20092i | 0.136844 | − | 0.237021i | ||||
\(924\) | −6.71688 | − | 11.6340i | −0.220969 | − | 0.382730i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 20.4270 | + | 17.1403i | 0.671271 | + | 0.563264i | ||||
\(927\) | 2.91353 | − | 2.44474i | 0.0956930 | − | 0.0802960i | ||||
\(928\) | −1.46791 | + | 8.32494i | −0.0481865 | + | 0.273279i | ||||
\(929\) | 17.1493 | − | 6.24183i | 0.562650 | − | 0.204788i | −0.0450079 | − | 0.998987i | \(-0.514331\pi\) |
0.607658 | + | 0.794199i | \(0.292109\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −81.2670 | + | 1.17847i | −2.66342 | + | 0.0386229i | ||||
\(932\) | 27.0428 | 0.885817 | ||||||||
\(933\) | −27.9273 | + | 10.1647i | −0.914297 | + | 0.332777i | ||||
\(934\) | 5.22921 | − | 29.6563i | 0.171105 | − | 0.970384i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.532089 | − | 0.446476i | −0.0173919 | − | 0.0145935i | ||||
\(937\) | 0.824292 | + | 4.67479i | 0.0269285 | + | 0.152719i | 0.995307 | − | 0.0967660i | \(-0.0308498\pi\) |
−0.968379 | + | 0.249485i | \(0.919739\pi\) | |||||||
\(938\) | −3.55438 | − | 6.15636i | −0.116055 | − | 0.201012i | ||||
\(939\) | 12.3478 | − | 21.3870i | 0.402954 | − | 0.697937i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −44.1857 | − | 16.0823i | −1.44041 | − | 0.524268i | −0.500517 | − | 0.865727i | \(-0.666857\pi\) |
−0.939897 | + | 0.341459i | \(0.889079\pi\) | |||||||
\(942\) | −5.98545 | + | 10.3671i | −0.195017 | + | 0.337779i | ||||
\(943\) | 2.34730 | + | 4.06564i | 0.0764385 | + | 0.132395i | ||||
\(944\) | 0.124485 | + | 0.705990i | 0.00405165 | + | 0.0229780i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.820422 | − | 0.688416i | 0.0266742 | − | 0.0223823i | ||||
\(947\) | −6.42427 | + | 36.4338i | −0.208761 | + | 1.18394i | 0.682651 | + | 0.730745i | \(0.260827\pi\) |
−0.891411 | + | 0.453195i | \(0.850284\pi\) | |||||||
\(948\) | 3.95811 | − | 1.44063i | 0.128553 | − | 0.0467896i | ||||
\(949\) | 5.95191 | 0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 40.2276 | 1.30447 | ||||||||
\(952\) | 11.3696 | − | 4.13819i | 0.368490 | − | 0.134120i | ||||
\(953\) | 6.54814 | − | 37.1364i | 0.212115 | − | 1.20296i | −0.673728 | − | 0.738980i | \(-0.735308\pi\) |
0.885843 | − | 0.463985i | \(-0.153581\pi\) | |||||||
\(954\) | 0.682733 | − | 0.572881i | 0.0221043 | − | 0.0185477i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −0.0496299 | − | 0.281465i | −0.00160514 | − | 0.00910322i | ||||
\(957\) | 11.2121 | + | 19.4200i | 0.362437 | + | 0.627759i | ||||
\(958\) | 4.08378 | − | 7.07331i | 0.131941 | − | 0.228528i | ||||
\(959\) | −25.6827 | − | 9.34775i | −0.829339 | − | 0.301855i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.4317 | − | 26.7285i | 0.497797 | − | 0.862209i | ||||
\(962\) | −3.14796 | − | 5.45242i | −0.101494 | − | 0.175793i | ||||
\(963\) | 0.865715 | + | 4.90971i | 0.0278973 | + | 0.158213i | ||||
\(964\) | 2.37551 | + | 1.99329i | 0.0765102 | + | 0.0641997i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 5.06418 | − | 28.7204i | 0.162937 | − | 0.924063i | ||||
\(967\) | 38.0702 | − | 13.8564i | 1.22425 | − | 0.445592i | 0.352628 | − | 0.935764i | \(-0.385288\pi\) |
0.871626 | + | 0.490172i | \(0.163066\pi\) | |||||||
\(968\) | 9.00774 | 0.289520 | ||||||||
\(969\) | 14.8093 | − | 12.7969i | 0.475743 | − | 0.411096i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 13.2289 | − | 4.81493i | 0.424536 | − | 0.154518i | −0.120912 | − | 0.992663i | \(-0.538582\pi\) |
0.545448 | + | 0.838145i | \(0.316360\pi\) | |||||||
\(972\) | −0.949493 | + | 5.38484i | −0.0304550 | + | 0.172719i | ||||
\(973\) | 9.07604 | − | 7.61570i | 0.290964 | − | 0.244148i | ||||
\(974\) | 20.3669 | + | 17.0899i | 0.652597 | + | 0.547594i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.87939 | − | 8.45134i | −0.156185 | − | 0.270521i | ||||
\(977\) | −17.6028 | + | 30.4890i | −0.563164 | + | 0.975429i | 0.434054 | + | 0.900887i | \(0.357083\pi\) |
−0.997218 | + | 0.0745421i | \(0.976250\pi\) | |||||||
\(978\) | −8.35591 | − | 3.04130i | −0.267193 | − | 0.0972502i | ||||
\(979\) | −14.1202 | − | 5.13933i | −0.451284 | − | 0.164254i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.94356 | − | 5.09840i | −0.0939807 | − | 0.162779i | ||||
\(982\) | −6.74257 | − | 38.2390i | −0.215164 | − | 1.22026i | ||||
\(983\) | −17.1898 | − | 14.4240i | −0.548271 | − | 0.460054i | 0.326084 | − | 0.945341i | \(-0.394271\pi\) |
−0.874355 | + | 0.485287i | \(0.838715\pi\) | |||||||
\(984\) | 2.20574 | − | 1.85083i | 0.0703163 | − | 0.0590024i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −18.9786 | + | 6.90766i | −0.604403 | + | 0.219985i | ||||
\(987\) | −97.1944 | −3.09373 | ||||||||
\(988\) | −0.906726 | + | 5.61743i | −0.0288468 | + | 0.178714i | ||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.70645 | − | 26.6916i | 0.149505 | − | 0.847887i | −0.814133 | − | 0.580678i | \(-0.802787\pi\) |
0.963639 | − | 0.267209i | \(-0.0861014\pi\) | |||||||
\(992\) | −0.283119 | + | 0.237565i | −0.00898902 | + | 0.00754269i | ||||
\(993\) | −36.5651 | − | 30.6818i | −1.16036 | − | 0.973657i | ||||
\(994\) | −5.60132 | − | 31.7667i | −0.177663 | − | 1.00758i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −3.74510 | + | 6.48670i | −0.118668 | + | 0.205539i | ||||
\(997\) | 26.2618 | + | 9.55850i | 0.831718 | + | 0.302721i | 0.722564 | − | 0.691304i | \(-0.242963\pi\) |
0.109154 | + | 0.994025i | \(0.465186\pi\) | |||||||
\(998\) | 19.4128 | + | 7.06569i | 0.614502 | + | 0.223660i | ||||
\(999\) | −11.1848 | + | 19.3726i | −0.353871 | + | 0.612923i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))